Datasets:

Modalities:
Tabular
Text
Languages:
English
ArXiv:
License:
Juicstus commited on
Commit
2c1e8bb
·
verified ·
1 Parent(s): 851c794

Add files using upload-large-folder tool

Browse files
This view is limited to 50 files because it contains too many changes.   See raw diff
Files changed (50) hide show
  1. polar_split/fixed_program/llama32_3b/polar_default/seed1/diff1/fold0.json +1 -0
  2. polar_split/fixed_program/llama32_3b/polar_default/seed1/diff1/fold1.json +1 -0
  3. polar_split/fixed_program/llama32_3b/polar_default/seed1/diff1/fold2.json +1 -0
  4. polar_split/fixed_program/llama32_3b/polar_default/seed1/diff1/fold3.json +1 -0
  5. polar_split/fixed_program/llama32_3b/polar_default/seed1/diff2/fold0.json +1 -0
  6. polar_split/fixed_program/llama32_3b/polar_default/seed1/diff2/fold1.json +1 -0
  7. polar_split/fixed_program/llama32_3b/polar_default/seed1/diff2/fold2.json +1 -0
  8. polar_split/fixed_program/llama32_3b/polar_default/seed1/diff2/fold3.json +1 -0
  9. polar_split/fixed_program/llama32_3b/polar_default/seed1/diff3/fold0.json +1 -0
  10. polar_split/fixed_program/llama32_3b/polar_default/seed1/diff3/fold1.json +1 -0
  11. polar_split/fixed_program/llama32_3b/polar_default/seed1/diff3/fold2.json +1 -0
  12. polar_split/fixed_program/llama32_3b/polar_default/seed1/diff3/fold3.json +1 -0
  13. polar_split/fixed_program/llama32_3b/polar_default/seed1/diff4/fold0.json +1 -0
  14. polar_split/fixed_program/llama32_3b/polar_default/seed1/diff4/fold1.json +1 -0
  15. polar_split/fixed_program/llama32_3b/polar_default/seed1/diff4/fold2.json +1 -0
  16. polar_split/fixed_program/llama32_3b/polar_default/seed1/diff4/fold3.json +1 -0
  17. polar_split/fixed_program/llama32_3b/polar_default/seed1/diff5/fold0.json +1 -0
  18. polar_split/fixed_program/llama32_3b/polar_default/seed1/diff5/fold1.json +1 -0
  19. polar_split/fixed_program/llama32_3b/polar_default/seed1/diff5/fold2.json +1 -0
  20. polar_split/fixed_program/llama32_3b/polar_default/seed1/diff5/fold3.json +1 -0
  21. polar_split/fixed_program/llama32_3b/polar_default/seed42/diff1/fold0.json +1 -0
  22. polar_split/fixed_program/llama32_3b/polar_default/seed42/diff1/fold1.json +1 -0
  23. polar_split/fixed_program/llama32_3b/polar_default/seed42/diff1/fold2.json +1 -0
  24. polar_split/fixed_program/llama32_3b/polar_default/seed42/diff1/fold3.json +1 -0
  25. polar_split/fixed_program/llama32_3b/polar_default/seed42/diff2/fold0.json +1 -0
  26. polar_split/fixed_program/llama32_3b/polar_default/seed42/diff2/fold1.json +1 -0
  27. polar_split/fixed_program/llama32_3b/polar_default/seed42/diff2/fold2.json +1 -0
  28. polar_split/fixed_program/llama32_3b/polar_default/seed42/diff2/fold3.json +1 -0
  29. polar_split/fixed_program/llama32_3b/polar_default/seed42/diff3/fold0.json +0 -0
  30. polar_split/fixed_program/llama32_3b/polar_default/seed42/diff3/fold1.json +1 -0
  31. polar_split/fixed_program/llama32_3b/polar_default/seed42/diff3/fold2.json +1 -0
  32. polar_split/fixed_program/llama32_3b/polar_default/seed42/diff3/fold3.json +1 -0
  33. polar_split/fixed_program/llama32_3b/polar_default/seed42/diff4/fold0.json +1 -0
  34. polar_split/fixed_program/llama32_3b/polar_default/seed42/diff4/fold1.json +1 -0
  35. polar_split/fixed_program/llama32_3b/polar_default/seed42/diff4/fold2.json +1 -0
  36. polar_split/fixed_program/llama32_3b/polar_default/seed42/diff4/fold3.json +1 -0
  37. polar_split/fixed_program/llama32_3b/polar_default/seed42/diff5/fold0.json +1 -0
  38. polar_split/fixed_program/llama32_3b/polar_default/seed42/diff5/fold1.json +1 -0
  39. polar_split/fixed_program/llama32_3b/polar_default/seed42/diff5/fold2.json +1 -0
  40. polar_split/fixed_program/llama32_3b/polar_default/seed42/diff5/fold3.json +1 -0
  41. polar_split/fixed_program/llama32_3b/polar_default/seed7/diff1/fold0.json +1 -0
  42. polar_split/fixed_program/llama32_3b/polar_default/seed7/diff1/fold1.json +1 -0
  43. polar_split/fixed_program/llama32_3b/polar_default/seed7/diff1/fold2.json +1 -0
  44. polar_split/fixed_program/llama32_3b/polar_default/seed7/diff1/fold3.json +1 -0
  45. polar_split/fixed_program/llama32_3b/polar_default/seed7/diff2/fold0.json +1 -0
  46. polar_split/fixed_program/llama32_3b/polar_default/seed7/diff2/fold1.json +1 -0
  47. polar_split/fixed_program/llama32_3b/polar_default/seed7/diff2/fold2.json +1 -0
  48. polar_split/fixed_program/llama32_3b/polar_default/seed7/diff2/fold3.json +1 -0
  49. polar_split/fixed_program/llama32_3b/polar_default/seed7/diff4/fold1.json +1 -0
  50. polar_split/fixed_program/llama32_3b/polar_default/seed7/diff4/fold2.json +1 -0
polar_split/fixed_program/llama32_3b/polar_default/seed1/diff1/fold0.json ADDED
@@ -0,0 +1 @@
 
 
1
+ {"difficulty": 1, "menu_size": 119, "prompt_style": "raw", "samples": "/app/data/router_data/theirsplit_cv/l3b_lpselraws1_diff1_f0.json", "n": {"train": 353, "val": 71, "test": 141}, "methods": {"fixed": {"winner": {"program": 8, "layer_path": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.5341}, "val": {"pass_at": [0.38028169014084506, 0.49295774647887325, 0.5070422535211268, 0.5211267605633803, 0.5352112676056338], "identity_acc": 0.352112676056338, "rescue_at1": 0.15492957746478872, "harm_at1": 0.1267605633802817, "nonident_top1": 1.0}, "test": {"pass_at": [0.2907801418439716, 0.3971631205673759, 0.41134751773049644, 0.48226950354609927, 0.49645390070921985], "identity_acc": 0.36879432624113473, "rescue_at1": 0.07801418439716312, "harm_at1": 0.15602836879432624, "nonident_top1": 1.0, "mcnemar_p": 0.08014331245794892, "n_distinct_top1": 1, "top_nonidentity": [{"layer_path": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "n": 141}], "per_question": [{"query_id": "MATH/train/prealgebra/451.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/number_theory/519.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1875.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/436.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1067.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/541.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/974.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/828.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/471.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1696.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/238.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/82.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/829.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/667.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1769.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/973.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/110.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/46.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/algebra/2360.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/precalculus/856.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/847.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/963.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/835.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1038.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/1573.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/584.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1323.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/358.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/954.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/111.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/139.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/1140.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/506.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/2771.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/61.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/692.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/precalculus/208.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/2633.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/15.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/481.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/535.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/780.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/57.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/178.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/200.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/2047.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/13.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/precalculus/236.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/905.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/2585.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/556.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/287.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/algebra/2790.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/285.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/geometry/7.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/312.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1948.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/1429.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/223.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/735.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2614.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/814.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1643.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/70.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1821.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/576.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/803.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/2730.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/140.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/36.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/83.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1688.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/geometry/768.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/algebra/2724.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2350.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/304.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/576.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/geometry/748.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/168.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/446.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/159.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1852.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/689.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/606.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/2039.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/number_theory/1031.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/1925.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/272.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/1398.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/1317.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/171.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1450.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/1745.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1896.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/552.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1636.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/792.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2179.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/828.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/136.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1076.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1400.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/precalculus/678.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/1.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1172.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/255.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/2781.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/643.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/77.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/189.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/624.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1077.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/181.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/472.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/49.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/25.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/563.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/342.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/20.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1391.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2703.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/497.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/12.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/806.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/991.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/1413.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/1744.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/525.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2514.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1857.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2673.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/310.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/1106.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/precalculus/163.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/algebra/2448.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/185.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/538.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/260.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/1290.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/186.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/749.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}]}, "all_val": [{"params": {"program": 38, "layer_path": [0, 1, 2, 3, 4, 5, 6, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 19, 20, 21, 22, 22, 23, 24, 25, 26, 27], "train_prior": 0.5481}, "val": {"pass_at": [0.29577464788732394, 0.3380281690140845, 0.36619718309859156, 0.5211267605633803, 0.5352112676056338], "identity_acc": 0.352112676056338, "rescue_at1": 0.056338028169014086, "harm_at1": 0.11267605633802817, "nonident_top1": 1.0}}, {"params": {"program": 51, "layer_path": [0, 1, 2, 3, 4, 5, 6, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 19, 20, 21, 22, 22, 23, 24, 26, 27], "train_prior": 0.5443}, "val": {"pass_at": [0.19718309859154928, 0.3380281690140845, 0.36619718309859156, 0.5211267605633803, 0.5352112676056338], "identity_acc": 0.352112676056338, "rescue_at1": 0.04225352112676056, "harm_at1": 0.19718309859154928, "nonident_top1": 1.0}}, {"params": {"program": 45, "layer_path": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 14, 15, 16, 17, 18, 19, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.5363}, "val": {"pass_at": [0.11267605633802817, 0.323943661971831, 0.36619718309859156, 0.5211267605633803, 0.5352112676056338], "identity_acc": 0.352112676056338, "rescue_at1": 0.04225352112676056, "harm_at1": 0.28169014084507044, "nonident_top1": 1.0}}, {"params": {"program": 8, "layer_path": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.5341}, "val": {"pass_at": [0.38028169014084506, 0.49295774647887325, 0.5070422535211268, 0.5211267605633803, 0.5352112676056338], "identity_acc": 0.352112676056338, "rescue_at1": 0.15492957746478872, "harm_at1": 0.1267605633802817, "nonident_top1": 1.0}}, {"params": {"program": 54, "layer_path": [0, 1, 2, 2, 3, 4, 5, 6, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 16, 17, 18, 19, 19, 20, 21, 22, 23, 24, 24, 25, 26, 27], "train_prior": 0.5157}, "val": {"pass_at": [0.09859154929577464, 0.323943661971831, 0.352112676056338, 0.38028169014084506, 0.5352112676056338], "identity_acc": 0.352112676056338, "rescue_at1": 0.014084507042253521, "harm_at1": 0.2676056338028169, "nonident_top1": 1.0}}, {"params": {"program": 55, "layer_path": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.5157}, "val": {"pass_at": [0.30985915492957744, 0.38028169014084506, 0.4084507042253521, 0.43661971830985913, 0.5352112676056338], "identity_acc": 0.352112676056338, "rescue_at1": 0.04225352112676056, "harm_at1": 0.08450704225352113, "nonident_top1": 1.0}}, {"params": {"program": 46, "layer_path": [0, 1, 2, 2, 3, 4, 5, 6, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.513}, "val": {"pass_at": [0.16901408450704225, 0.38028169014084506, 0.39436619718309857, 0.4225352112676056, 0.5774647887323944], "identity_acc": 0.352112676056338, "rescue_at1": 0.056338028169014086, "harm_at1": 0.23943661971830985, "nonident_top1": 1.0}}, {"params": {"program": 47, "layer_path": [0, 1, 2, 2, 3, 4, 5, 6, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 19, 20, 21, 22, 23, 24, 24, 25, 26, 27], "train_prior": 0.513}, "val": {"pass_at": [0.16901408450704225, 0.38028169014084506, 0.39436619718309857, 0.4225352112676056, 0.5774647887323944], "identity_acc": 0.352112676056338, "rescue_at1": 0.056338028169014086, "harm_at1": 0.23943661971830985, "nonident_top1": 1.0}}, {"params": {"program": 64, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "train_prior": 0.4874}, "val": {"pass_at": [0.2676056338028169, 0.352112676056338, 0.39436619718309857, 0.4225352112676056, 0.5492957746478874], "identity_acc": 0.352112676056338, "rescue_at1": 0.04225352112676056, "harm_at1": 0.1267605633802817, "nonident_top1": 1.0}}, {"params": {"program": 28, "layer_path": [0, 1, 2, 3, 4, 5, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 19, 20, 21, 22, 22, 23, 24, 26, 27], "train_prior": 0.482}, "val": {"pass_at": [0.2112676056338028, 0.36619718309859156, 0.39436619718309857, 0.4084507042253521, 0.5633802816901409], "identity_acc": 0.352112676056338, "rescue_at1": 0.056338028169014086, "harm_at1": 0.19718309859154928, "nonident_top1": 1.0}}, {"params": {"program": 17, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 15, 16, 17, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.4785}, "val": {"pass_at": [0.2676056338028169, 0.4084507042253521, 0.43661971830985913, 0.4507042253521127, 0.5774647887323944], "identity_acc": 0.352112676056338, "rescue_at1": 0.07042253521126761, "harm_at1": 0.15492957746478872, "nonident_top1": 1.0}}, {"params": {"program": 34, "layer_path": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 23, 24, 25, 26, 27], "train_prior": 0.4666}, "val": {"pass_at": [0.16901408450704225, 0.36619718309859156, 0.39436619718309857, 0.4225352112676056, 0.5352112676056338], "identity_acc": 0.352112676056338, "rescue_at1": 0.04225352112676056, "harm_at1": 0.22535211267605634, "nonident_top1": 1.0}}, {"params": {"program": 59, "layer_path": [0, 1, 2, 3, 4, 5, 6, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 27], "train_prior": 0.4666}, "val": {"pass_at": [0.15492957746478872, 0.352112676056338, 0.36619718309859156, 0.39436619718309857, 0.5352112676056338], "identity_acc": 0.352112676056338, "rescue_at1": 0.04225352112676056, "harm_at1": 0.23943661971830985, "nonident_top1": 1.0}}, {"params": {"program": 20, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 15, 16, 17, 17, 18, 19, 20, 21, 23, 24, 25, 25, 26, 27], "train_prior": 0.4592}, "val": {"pass_at": [0.19718309859154928, 0.352112676056338, 0.36619718309859156, 0.38028169014084506, 0.5352112676056338], "identity_acc": 0.352112676056338, "rescue_at1": 0.04225352112676056, "harm_at1": 0.19718309859154928, "nonident_top1": 1.0}}, {"params": {"program": 78, "layer_path": [0, 1, 2, 3, 4, 5, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 19, 20, 21, 22, 22, 23, 24, 24, 26, 27], "train_prior": 0.4532}, "val": {"pass_at": [0.19718309859154928, 0.36619718309859156, 0.39436619718309857, 0.4084507042253521, 0.5633802816901409], "identity_acc": 0.352112676056338, "rescue_at1": 0.056338028169014086, "harm_at1": 0.2112676056338028, "nonident_top1": 1.0}}, {"params": {"program": 63, "layer_path": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 18, 19, 20, 23, 24, 25, 26, 27], "train_prior": 0.4399}, "val": {"pass_at": [0.18309859154929578, 0.36619718309859156, 0.4084507042253521, 0.4225352112676056, 0.5492957746478874], "identity_acc": 0.352112676056338, "rescue_at1": 0.07042253521126761, "harm_at1": 0.23943661971830985, "nonident_top1": 1.0}}, {"params": {"program": 74, "layer_path": [0, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 27], "train_prior": 0.4249}, "val": {"pass_at": [0.014084507042253521, 0.30985915492957744, 0.352112676056338, 0.38028169014084506, 0.5352112676056338], "identity_acc": 0.352112676056338, "rescue_at1": 0.014084507042253521, "harm_at1": 0.352112676056338, "nonident_top1": 1.0}}, {"params": {"program": 77, "layer_path": [0, 1, 2, 3, 4, 5, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 19, 20, 21, 22, 23, 24, 25], "train_prior": 0.4249}, "val": {"pass_at": [0.1267605633802817, 0.352112676056338, 0.38028169014084506, 0.39436619718309857, 0.5492957746478874], "identity_acc": 0.352112676056338, "rescue_at1": 0.04225352112676056, "harm_at1": 0.2676056338028169, "nonident_top1": 1.0}}, {"params": {"program": 26, "layer_path": [0, 1, 2, 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.4177}, "val": {"pass_at": [0.23943661971830985, 0.39436619718309857, 0.4225352112676056, 0.43661971830985913, 0.5774647887323944], "identity_acc": 0.352112676056338, "rescue_at1": 0.07042253521126761, "harm_at1": 0.18309859154929578, "nonident_top1": 1.0}}, {"params": {"program": 86, "layer_path": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.4142}, "val": {"pass_at": [0.18309859154929578, 0.3380281690140845, 0.36619718309859156, 0.39436619718309857, 0.5211267605633803], "identity_acc": 0.352112676056338, "rescue_at1": 0.028169014084507043, "harm_at1": 0.19718309859154928, "nonident_top1": 1.0}}]}}}
polar_split/fixed_program/llama32_3b/polar_default/seed1/diff1/fold1.json ADDED
@@ -0,0 +1 @@
 
 
1
+ {"difficulty": 1, "menu_size": 118, "prompt_style": "raw", "samples": "/app/data/router_data/theirsplit_cv/l3b_lpselraws1_diff1_f1.json", "n": {"train": 353, "val": 71, "test": 141}, "methods": {"fixed": {"winner": {"program": 20, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 15, 16, 17, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.5062}, "val": {"pass_at": [0.38028169014084506, 0.43661971830985913, 0.49295774647887325, 0.5211267605633803, 0.5633802816901409], "identity_acc": 0.38028169014084506, "rescue_at1": 0.11267605633802817, "harm_at1": 0.11267605633802817, "nonident_top1": 1.0}, "test": {"pass_at": [0.2695035460992908, 0.3829787234042553, 0.524822695035461, 0.5390070921985816, 0.5886524822695035], "identity_acc": 0.3617021276595745, "rescue_at1": 0.06382978723404255, "harm_at1": 0.15602836879432624, "nonident_top1": 1.0, "mcnemar_p": 0.029449373483657837, "n_distinct_top1": 1, "top_nonidentity": [{"layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 15, 16, 17, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "n": 141}], "per_question": [{"query_id": "MATH/train/algebra/1364.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 15, 16, 17, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1991.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 15, 16, 17, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/algebra/1379.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 15, 16, 17, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/492.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 15, 16, 17, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/335.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 15, 16, 17, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1666.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 15, 16, 17, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/14.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 15, 16, 17, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/365.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 15, 16, 17, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1084.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 15, 16, 17, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/180.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 15, 16, 17, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/precalculus/348.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 15, 16, 17, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/2690.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 15, 16, 17, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/569.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 15, 16, 17, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/887.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 15, 16, 17, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/precalculus/756.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 15, 16, 17, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/precalculus/468.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 15, 16, 17, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/precalculus/965.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 15, 16, 17, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/2644.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 15, 16, 17, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/816.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 15, 16, 17, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/681.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 15, 16, 17, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/574.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 15, 16, 17, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1406.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 15, 16, 17, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/25015.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 15, 16, 17, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/636.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 15, 16, 17, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/985.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 15, 16, 17, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/465.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 15, 16, 17, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/algebra/2140.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 15, 16, 17, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1327.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 15, 16, 17, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/284.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 15, 16, 17, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/509.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 15, 16, 17, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/430.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 15, 16, 17, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/1247.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 15, 16, 17, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1476.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 15, 16, 17, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/487.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 15, 16, 17, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/geometry/419.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 15, 16, 17, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/531.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 15, 16, 17, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/147.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 15, 16, 17, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/460.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 15, 16, 17, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/precalculus/437.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 15, 16, 17, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/656.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 15, 16, 17, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/45.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 15, 16, 17, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/precalculus/1293.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 15, 16, 17, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/399.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 15, 16, 17, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/511.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 15, 16, 17, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/234.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 15, 16, 17, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/geometry/576.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 15, 16, 17, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/12.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 15, 16, 17, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1274.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 15, 16, 17, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/228.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 15, 16, 17, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/131.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 15, 16, 17, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/324.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 15, 16, 17, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/119.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 15, 16, 17, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/49.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 15, 16, 17, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2234.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 15, 16, 17, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/764.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 15, 16, 17, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1601.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 15, 16, 17, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/266.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 15, 16, 17, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1054.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 15, 16, 17, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1869.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 15, 16, 17, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/548.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 15, 16, 17, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1080.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 15, 16, 17, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/algebra/1851.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 15, 16, 17, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/674.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 15, 16, 17, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2809.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 15, 16, 17, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/73.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 15, 16, 17, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/precalculus/1310.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 15, 16, 17, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/734.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 15, 16, 17, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2595.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 15, 16, 17, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/740.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 15, 16, 17, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/779.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 15, 16, 17, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2682.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 15, 16, 17, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/113.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 15, 16, 17, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/579.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 15, 16, 17, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/767.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 15, 16, 17, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/220.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 15, 16, 17, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/699.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 15, 16, 17, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/246.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 15, 16, 17, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/266.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 15, 16, 17, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/197.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 15, 16, 17, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/number_theory/666.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 15, 16, 17, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1415.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 15, 16, 17, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/precalculus/71.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 15, 16, 17, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/1053.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 15, 16, 17, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/algebra/890.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 15, 16, 17, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1793.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 15, 16, 17, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/870.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 15, 16, 17, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1225.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 15, 16, 17, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1104.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 15, 16, 17, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1058.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 15, 16, 17, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/2011.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 15, 16, 17, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/162.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 15, 16, 17, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/number_theory/759.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 15, 16, 17, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/geometry/578.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 15, 16, 17, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/228.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 15, 16, 17, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/746.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 15, 16, 17, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/12.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 15, 16, 17, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/704.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 15, 16, 17, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/1851.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 15, 16, 17, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/algebra/760.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 15, 16, 17, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1487.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 15, 16, 17, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1939.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 15, 16, 17, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/779.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 15, 16, 17, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/number_theory/442.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 15, 16, 17, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/505.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 15, 16, 17, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/516.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 15, 16, 17, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/2564.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 15, 16, 17, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/181.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 15, 16, 17, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/1962.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 15, 16, 17, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/111.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 15, 16, 17, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/63.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 15, 16, 17, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/705.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 15, 16, 17, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/129.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 15, 16, 17, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/246.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 15, 16, 17, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1996.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 15, 16, 17, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/697.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 15, 16, 17, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/590.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 15, 16, 17, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/precalculus/718.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 15, 16, 17, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/777.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 15, 16, 17, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/77.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 15, 16, 17, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/precalculus/532.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 15, 16, 17, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/number_theory/332.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 15, 16, 17, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/962.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 15, 16, 17, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/177.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 15, 16, 17, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/518.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 15, 16, 17, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/347.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 15, 16, 17, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/2519.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 15, 16, 17, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/261.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 15, 16, 17, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/717.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 15, 16, 17, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/593.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 15, 16, 17, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1509.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 15, 16, 17, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1167.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 15, 16, 17, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/1157.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 15, 16, 17, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/35.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 15, 16, 17, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/796.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 15, 16, 17, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/469.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 15, 16, 17, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/14.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 15, 16, 17, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/number_theory/658.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 15, 16, 17, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/854.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 15, 16, 17, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/33.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 15, 16, 17, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/527.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 15, 16, 17, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/625.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 15, 16, 17, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}]}, "all_val": [{"params": {"program": 43, "layer_path": [0, 1, 2, 2, 3, 4, 5, 6, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.5832}, "val": {"pass_at": [0.22535211267605634, 0.38028169014084506, 0.4084507042253521, 0.4647887323943662, 0.5352112676056338], "identity_acc": 0.38028169014084506, "rescue_at1": 0.014084507042253521, "harm_at1": 0.16901408450704225, "nonident_top1": 1.0}}, {"params": {"program": 8, "layer_path": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.5694}, "val": {"pass_at": [0.30985915492957744, 0.38028169014084506, 0.4084507042253521, 0.4647887323943662, 0.5352112676056338], "identity_acc": 0.38028169014084506, "rescue_at1": 0.09859154929577464, "harm_at1": 0.16901408450704225, "nonident_top1": 1.0}}, {"params": {"program": 45, "layer_path": [0, 1, 2, 2, 3, 4, 5, 6, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 19, 20, 21, 22, 23, 24, 24, 25, 26, 27], "train_prior": 0.5633}, "val": {"pass_at": [0.18309859154929578, 0.2535211267605634, 0.4084507042253521, 0.4647887323943662, 0.5352112676056338], "identity_acc": 0.38028169014084506, "rescue_at1": 0.014084507042253521, "harm_at1": 0.2112676056338028, "nonident_top1": 1.0}}, {"params": {"program": 42, "layer_path": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 14, 15, 16, 17, 18, 19, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.5532}, "val": {"pass_at": [0.19718309859154928, 0.323943661971831, 0.43661971830985913, 0.4647887323943662, 0.5352112676056338], "identity_acc": 0.38028169014084506, "rescue_at1": 0.08450704225352113, "harm_at1": 0.2676056338028169, "nonident_top1": 1.0}}, {"params": {"program": 50, "layer_path": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.5415}, "val": {"pass_at": [0.36619718309859156, 0.38028169014084506, 0.4507042253521127, 0.4788732394366197, 0.5352112676056338], "identity_acc": 0.38028169014084506, "rescue_at1": 0.07042253521126761, "harm_at1": 0.08450704225352113, "nonident_top1": 1.0}}, {"params": {"program": 46, "layer_path": [0, 1, 2, 3, 4, 5, 6, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 19, 20, 21, 22, 22, 23, 24, 25, 26, 27], "train_prior": 0.5377}, "val": {"pass_at": [0.29577464788732394, 0.36619718309859156, 0.43661971830985913, 0.4507042253521127, 0.5070422535211268], "identity_acc": 0.38028169014084506, "rescue_at1": 0.028169014084507043, "harm_at1": 0.11267605633802817, "nonident_top1": 1.0}}, {"params": {"program": 54, "layer_path": [0, 1, 2, 2, 3, 4, 5, 6, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 16, 17, 18, 19, 19, 20, 21, 22, 23, 24, 24, 25, 26, 27], "train_prior": 0.5174}, "val": {"pass_at": [0.16901408450704225, 0.2676056338028169, 0.4225352112676056, 0.43661971830985913, 0.49295774647887325], "identity_acc": 0.38028169014084506, "rescue_at1": 0.014084507042253521, "harm_at1": 0.22535211267605634, "nonident_top1": 1.0}}, {"params": {"program": 20, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 15, 16, 17, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.5062}, "val": {"pass_at": [0.38028169014084506, 0.43661971830985913, 0.49295774647887325, 0.5211267605633803, 0.5633802816901409], "identity_acc": 0.38028169014084506, "rescue_at1": 0.11267605633802817, "harm_at1": 0.11267605633802817, "nonident_top1": 1.0}}, {"params": {"program": 65, "layer_path": [0, 1, 2, 3, 4, 5, 6, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 19, 20, 21, 22, 22, 23, 24, 26, 27], "train_prior": 0.4894}, "val": {"pass_at": [0.2112676056338028, 0.30985915492957744, 0.43661971830985913, 0.4507042253521127, 0.5070422535211268], "identity_acc": 0.38028169014084506, "rescue_at1": 0.028169014084507043, "harm_at1": 0.19718309859154928, "nonident_top1": 1.0}}, {"params": {"program": 48, "layer_path": [0, 1, 2, 3, 4, 5, 6, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 27], "train_prior": 0.4709}, "val": {"pass_at": [0.2535211267605634, 0.323943661971831, 0.43661971830985913, 0.4647887323943662, 0.5211267605633803], "identity_acc": 0.38028169014084506, "rescue_at1": 0.04225352112676056, "harm_at1": 0.16901408450704225, "nonident_top1": 1.0}}, {"params": {"program": 56, "layer_path": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 18, 19, 20, 23, 24, 25, 26, 27], "train_prior": 0.4681}, "val": {"pass_at": [0.18309859154929578, 0.29577464788732394, 0.4225352112676056, 0.4507042253521127, 0.49295774647887325], "identity_acc": 0.38028169014084506, "rescue_at1": 0.04225352112676056, "harm_at1": 0.23943661971830985, "nonident_top1": 1.0}}, {"params": {"program": 34, "layer_path": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 23, 24, 25, 26, 27], "train_prior": 0.4675}, "val": {"pass_at": [0.15492957746478872, 0.2676056338028169, 0.38028169014084506, 0.4084507042253521, 0.4647887323943662], "identity_acc": 0.38028169014084506, "rescue_at1": 0.014084507042253521, "harm_at1": 0.23943661971830985, "nonident_top1": 1.0}}, {"params": {"program": 22, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 15, 16, 17, 17, 18, 19, 20, 21, 23, 24, 25, 25, 26, 27], "train_prior": 0.4496}, "val": {"pass_at": [0.23943661971830985, 0.38028169014084506, 0.4507042253521127, 0.4788732394366197, 0.5352112676056338], "identity_acc": 0.38028169014084506, "rescue_at1": 0.07042253521126761, "harm_at1": 0.2112676056338028, "nonident_top1": 1.0}}, {"params": {"program": 28, "layer_path": [0, 1, 2, 3, 4, 5, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 19, 20, 21, 22, 22, 23, 24, 26, 27], "train_prior": 0.4458}, "val": {"pass_at": [0.23943661971830985, 0.3380281690140845, 0.43661971830985913, 0.4507042253521127, 0.5070422535211268], "identity_acc": 0.38028169014084506, "rescue_at1": 0.056338028169014086, "harm_at1": 0.19718309859154928, "nonident_top1": 1.0}}, {"params": {"program": 59, "layer_path": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.4415}, "val": {"pass_at": [0.30985915492957744, 0.3380281690140845, 0.4084507042253521, 0.43661971830985913, 0.49295774647887325], "identity_acc": 0.38028169014084506, "rescue_at1": 0.04225352112676056, "harm_at1": 0.11267605633802817, "nonident_top1": 1.0}}, {"params": {"program": 19, "layer_path": [0, 1, 2, 3, 4, 5, 6, 3, 4, 5, 6, 7, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.4398}, "val": {"pass_at": [0.28169014084507044, 0.323943661971831, 0.39436619718309857, 0.4225352112676056, 0.4788732394366197], "identity_acc": 0.38028169014084506, "rescue_at1": 0.04225352112676056, "harm_at1": 0.14084507042253522, "nonident_top1": 1.0}}, {"params": {"program": 23, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 15, 16, 17, 17, 18, 19, 20, 21, 22, 23, 24, 25, 25, 26, 27], "train_prior": 0.4308}, "val": {"pass_at": [0.29577464788732394, 0.39436619718309857, 0.4507042253521127, 0.4788732394366197, 0.5352112676056338], "identity_acc": 0.38028169014084506, "rescue_at1": 0.07042253521126761, "harm_at1": 0.15492957746478872, "nonident_top1": 1.0}}, {"params": {"program": 82, "layer_path": [0, 1, 2, 3, 4, 5, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 19, 20, 21, 22, 22, 23, 24, 24, 26, 27], "train_prior": 0.4164}, "val": {"pass_at": [0.22535211267605634, 0.323943661971831, 0.43661971830985913, 0.4507042253521127, 0.5070422535211268], "identity_acc": 0.38028169014084506, "rescue_at1": 0.04225352112676056, "harm_at1": 0.19718309859154928, "nonident_top1": 1.0}}, {"params": {"program": 64, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 10, 11, 12, 13, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 24, 25, 26, 27], "train_prior": 0.4121}, "val": {"pass_at": [0.29577464788732394, 0.38028169014084506, 0.4647887323943662, 0.49295774647887325, 0.5352112676056338], "identity_acc": 0.38028169014084506, "rescue_at1": 0.08450704225352113, "harm_at1": 0.16901408450704225, "nonident_top1": 1.0}}, {"params": {"program": 58, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 19, 20, 21, 22, 23, 24, 25], "train_prior": 0.4014}, "val": {"pass_at": [0.2676056338028169, 0.30985915492957744, 0.4225352112676056, 0.43661971830985913, 0.49295774647887325], "identity_acc": 0.38028169014084506, "rescue_at1": 0.014084507042253521, "harm_at1": 0.1267605633802817, "nonident_top1": 1.0}}]}}}
polar_split/fixed_program/llama32_3b/polar_default/seed1/diff1/fold2.json ADDED
@@ -0,0 +1 @@
 
 
1
+ {"difficulty": 1, "menu_size": 129, "prompt_style": "raw", "samples": "/app/data/router_data/theirsplit_cv/l3b_lpselraws1_diff1_f2.json", "n": {"train": 352, "val": 71, "test": 142}, "methods": {"fixed": {"winner": {"program": 20, "layer_path": [0, 1, 2, 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.4368}, "val": {"pass_at": [0.3380281690140845, 0.38028169014084506, 0.4647887323943662, 0.49295774647887325, 0.5211267605633803], "identity_acc": 0.38028169014084506, "rescue_at1": 0.08450704225352113, "harm_at1": 0.1267605633802817, "nonident_top1": 1.0}, "test": {"pass_at": [0.23943661971830985, 0.34507042253521125, 0.3732394366197183, 0.4084507042253521, 0.49295774647887325], "identity_acc": 0.3732394366197183, "rescue_at1": 0.056338028169014086, "harm_at1": 0.19014084507042253, "nonident_top1": 1.0, "mcnemar_p": 0.001878225477412343, "n_distinct_top1": 1, "top_nonidentity": [{"layer_path": [0, 1, 2, 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "n": 142}], "per_question": [{"query_id": "MATH/train/intermediate_algebra/452.json", "top1": [0, 1, 2, 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/precalculus/39.json", "top1": [0, 1, 2, 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/1023.json", "top1": [0, 1, 2, 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/1672.json", "top1": [0, 1, 2, 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/2183.json", "top1": [0, 1, 2, 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2747.json", "top1": [0, 1, 2, 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/1454.json", "top1": [0, 1, 2, 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/geometry/104.json", "top1": [0, 1, 2, 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/algebra/2231.json", "top1": [0, 1, 2, 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/302.json", "top1": [0, 1, 2, 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/650.json", "top1": [0, 1, 2, 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/204.json", "top1": [0, 1, 2, 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/532.json", "top1": [0, 1, 2, 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/720.json", "top1": [0, 1, 2, 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/223.json", "top1": [0, 1, 2, 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1724.json", "top1": [0, 1, 2, 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/332.json", "top1": [0, 1, 2, 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/geometry/1095.json", "top1": [0, 1, 2, 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/25487.json", "top1": [0, 1, 2, 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/75.json", "top1": [0, 1, 2, 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/165.json", "top1": [0, 1, 2, 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/precalculus/42.json", "top1": [0, 1, 2, 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2413.json", "top1": [0, 1, 2, 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/361.json", "top1": [0, 1, 2, 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1008.json", "top1": [0, 1, 2, 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/615.json", "top1": [0, 1, 2, 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/592.json", "top1": [0, 1, 2, 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/number_theory/1054.json", "top1": [0, 1, 2, 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/646.json", "top1": [0, 1, 2, 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1945.json", "top1": [0, 1, 2, 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/339.json", "top1": [0, 1, 2, 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/534.json", "top1": [0, 1, 2, 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/873.json", "top1": [0, 1, 2, 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/652.json", "top1": [0, 1, 2, 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/108.json", "top1": [0, 1, 2, 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/372.json", "top1": [0, 1, 2, 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2654.json", "top1": [0, 1, 2, 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1949.json", "top1": [0, 1, 2, 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/663.json", "top1": [0, 1, 2, 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/106.json", "top1": [0, 1, 2, 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1816.json", "top1": [0, 1, 2, 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/62.json", "top1": [0, 1, 2, 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/1660.json", "top1": [0, 1, 2, 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/231.json", "top1": [0, 1, 2, 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/437.json", "top1": [0, 1, 2, 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1567.json", "top1": [0, 1, 2, 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/216.json", "top1": [0, 1, 2, 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/number_theory/464.json", "top1": [0, 1, 2, 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/446.json", "top1": [0, 1, 2, 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/353.json", "top1": [0, 1, 2, 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/number_theory/115.json", "top1": [0, 1, 2, 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/671.json", "top1": [0, 1, 2, 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/geometry/70.json", "top1": [0, 1, 2, 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/507.json", "top1": [0, 1, 2, 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/411.json", "top1": [0, 1, 2, 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/geometry/31.json", "top1": [0, 1, 2, 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1117.json", "top1": [0, 1, 2, 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2310.json", "top1": [0, 1, 2, 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/21.json", "top1": [0, 1, 2, 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/963.json", "top1": [0, 1, 2, 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/443.json", "top1": [0, 1, 2, 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1920.json", "top1": [0, 1, 2, 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2692.json", "top1": [0, 1, 2, 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1051.json", "top1": [0, 1, 2, 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/959.json", "top1": [0, 1, 2, 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/precalculus/172.json", "top1": [0, 1, 2, 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/2187.json", "top1": [0, 1, 2, 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/number_theory/379.json", "top1": [0, 1, 2, 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1414.json", "top1": [0, 1, 2, 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/precalculus/147.json", "top1": [0, 1, 2, 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/344.json", "top1": [0, 1, 2, 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2239.json", "top1": [0, 1, 2, 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1804.json", "top1": [0, 1, 2, 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/309.json", "top1": [0, 1, 2, 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/141.json", "top1": [0, 1, 2, 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/1.json", "top1": [0, 1, 2, 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2461.json", "top1": [0, 1, 2, 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/146.json", "top1": [0, 1, 2, 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/384.json", "top1": [0, 1, 2, 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/101.json", "top1": [0, 1, 2, 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/85.json", "top1": [0, 1, 2, 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/1357.json", "top1": [0, 1, 2, 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/3.json", "top1": [0, 1, 2, 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/6.json", "top1": [0, 1, 2, 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1078.json", "top1": [0, 1, 2, 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2365.json", "top1": [0, 1, 2, 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/75.json", "top1": [0, 1, 2, 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/1036.json", "top1": [0, 1, 2, 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/56.json", "top1": [0, 1, 2, 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/1137.json", "top1": [0, 1, 2, 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/1587.json", "top1": [0, 1, 2, 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/25423.json", "top1": [0, 1, 2, 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/696.json", "top1": [0, 1, 2, 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/699.json", "top1": [0, 1, 2, 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/513.json", "top1": [0, 1, 2, 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/600.json", "top1": [0, 1, 2, 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/703.json", "top1": [0, 1, 2, 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/1158.json", "top1": [0, 1, 2, 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1246.json", "top1": [0, 1, 2, 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/489.json", "top1": [0, 1, 2, 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1964.json", "top1": [0, 1, 2, 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/number_theory/786.json", "top1": [0, 1, 2, 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/25051.json", "top1": [0, 1, 2, 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/354.json", "top1": [0, 1, 2, 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1575.json", "top1": [0, 1, 2, 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/75.json", "top1": [0, 1, 2, 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/793.json", "top1": [0, 1, 2, 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2415.json", "top1": [0, 1, 2, 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1236.json", "top1": [0, 1, 2, 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/151.json", "top1": [0, 1, 2, 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/1330.json", "top1": [0, 1, 2, 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/245.json", "top1": [0, 1, 2, 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/204.json", "top1": [0, 1, 2, 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/989.json", "top1": [0, 1, 2, 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/566.json", "top1": [0, 1, 2, 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/1921.json", "top1": [0, 1, 2, 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/403.json", "top1": [0, 1, 2, 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/precalculus/777.json", "top1": [0, 1, 2, 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/773.json", "top1": [0, 1, 2, 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/938.json", "top1": [0, 1, 2, 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/1262.json", "top1": [0, 1, 2, 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/algebra/1279.json", "top1": [0, 1, 2, 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1599.json", "top1": [0, 1, 2, 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/number_theory/436.json", "top1": [0, 1, 2, 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/949.json", "top1": [0, 1, 2, 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1061.json", "top1": [0, 1, 2, 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/92.json", "top1": [0, 1, 2, 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1954.json", "top1": [0, 1, 2, 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1385.json", "top1": [0, 1, 2, 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/233.json", "top1": [0, 1, 2, 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/546.json", "top1": [0, 1, 2, 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2063.json", "top1": [0, 1, 2, 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/156.json", "top1": [0, 1, 2, 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/algebra/1780.json", "top1": [0, 1, 2, 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1437.json", "top1": [0, 1, 2, 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/1196.json", "top1": [0, 1, 2, 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/729.json", "top1": [0, 1, 2, 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/253.json", "top1": [0, 1, 2, 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/2273.json", "top1": [0, 1, 2, 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/382.json", "top1": [0, 1, 2, 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/218.json", "top1": [0, 1, 2, 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2534.json", "top1": [0, 1, 2, 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}]}, "all_val": [{"params": {"program": 40, "layer_path": [0, 1, 2, 2, 3, 4, 5, 6, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 19, 20, 21, 22, 23, 24, 24, 25, 26, 27], "train_prior": 0.535}, "val": {"pass_at": [0.18309859154929578, 0.323943661971831, 0.36619718309859156, 0.4647887323943662, 0.5070422535211268], "identity_acc": 0.38028169014084506, "rescue_at1": 0.014084507042253521, "harm_at1": 0.2112676056338028, "nonident_top1": 1.0}}, {"params": {"program": 43, "layer_path": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 14, 15, 16, 17, 18, 19, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.535}, "val": {"pass_at": [0.19718309859154928, 0.323943661971831, 0.36619718309859156, 0.4647887323943662, 0.5070422535211268], "identity_acc": 0.38028169014084506, "rescue_at1": 0.08450704225352113, "harm_at1": 0.2676056338028169, "nonident_top1": 1.0}}, {"params": {"program": 46, "layer_path": [0, 1, 2, 2, 3, 4, 5, 6, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 16, 17, 18, 19, 19, 20, 21, 22, 23, 24, 24, 25, 26, 27], "train_prior": 0.5178}, "val": {"pass_at": [0.16901408450704225, 0.22535211267605634, 0.36619718309859156, 0.4647887323943662, 0.5070422535211268], "identity_acc": 0.38028169014084506, "rescue_at1": 0.014084507042253521, "harm_at1": 0.22535211267605634, "nonident_top1": 1.0}}, {"params": {"program": 45, "layer_path": [0, 1, 2, 3, 4, 5, 6, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 19, 20, 21, 22, 22, 23, 24, 25, 26, 27], "train_prior": 0.5161}, "val": {"pass_at": [0.29577464788732394, 0.3380281690140845, 0.4507042253521127, 0.4647887323943662, 0.5070422535211268], "identity_acc": 0.38028169014084506, "rescue_at1": 0.028169014084507043, "harm_at1": 0.11267605633802817, "nonident_top1": 1.0}}, {"params": {"program": 8, "layer_path": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.515}, "val": {"pass_at": [0.30985915492957744, 0.352112676056338, 0.43661971830985913, 0.4788732394366197, 0.5070422535211268], "identity_acc": 0.38028169014084506, "rescue_at1": 0.09859154929577464, "harm_at1": 0.16901408450704225, "nonident_top1": 1.0}}, {"params": {"program": 39, "layer_path": [0, 1, 2, 2, 3, 4, 5, 6, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.5136}, "val": {"pass_at": [0.22535211267605634, 0.2535211267605634, 0.352112676056338, 0.38028169014084506, 0.4647887323943662], "identity_acc": 0.38028169014084506, "rescue_at1": 0.014084507042253521, "harm_at1": 0.16901408450704225, "nonident_top1": 1.0}}, {"params": {"program": 18, "layer_path": [0, 1, 2, 3, 4, 5, 6, 3, 4, 5, 6, 7, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.5059}, "val": {"pass_at": [0.28169014084507044, 0.323943661971831, 0.4225352112676056, 0.4507042253521127, 0.4788732394366197], "identity_acc": 0.38028169014084506, "rescue_at1": 0.04225352112676056, "harm_at1": 0.14084507042253522, "nonident_top1": 1.0}}, {"params": {"program": 23, "layer_path": [0, 1, 2, 3, 4, 5, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 19, 20, 21, 22, 22, 23, 24, 26, 27], "train_prior": 0.4724}, "val": {"pass_at": [0.23943661971830985, 0.30985915492957744, 0.4084507042253521, 0.4507042253521127, 0.5070422535211268], "identity_acc": 0.38028169014084506, "rescue_at1": 0.056338028169014086, "harm_at1": 0.19718309859154928, "nonident_top1": 1.0}}, {"params": {"program": 77, "layer_path": [0, 1, 2, 3, 4, 5, 6, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 19, 20, 21, 22, 22, 23, 24, 26, 27], "train_prior": 0.4559}, "val": {"pass_at": [0.2112676056338028, 0.2676056338028169, 0.38028169014084506, 0.4084507042253521, 0.49295774647887325], "identity_acc": 0.38028169014084506, "rescue_at1": 0.028169014084507043, "harm_at1": 0.19718309859154928, "nonident_top1": 1.0}}, {"params": {"program": 26, "layer_path": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 23, 24, 25, 26, 27], "train_prior": 0.4485}, "val": {"pass_at": [0.15492957746478872, 0.2676056338028169, 0.38028169014084506, 0.4084507042253521, 0.4647887323943662], "identity_acc": 0.38028169014084506, "rescue_at1": 0.014084507042253521, "harm_at1": 0.23943661971830985, "nonident_top1": 1.0}}, {"params": {"program": 20, "layer_path": [0, 1, 2, 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.4368}, "val": {"pass_at": [0.3380281690140845, 0.38028169014084506, 0.4647887323943662, 0.49295774647887325, 0.5211267605633803], "identity_acc": 0.38028169014084506, "rescue_at1": 0.08450704225352113, "harm_at1": 0.1267605633802817, "nonident_top1": 1.0}}, {"params": {"program": 73, "layer_path": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.4274}, "val": {"pass_at": [0.18309859154929578, 0.28169014084507044, 0.38028169014084506, 0.4225352112676056, 0.49295774647887325], "identity_acc": 0.38028169014084506, "rescue_at1": 0.04225352112676056, "harm_at1": 0.23943661971830985, "nonident_top1": 1.0}}, {"params": {"program": 34, "layer_path": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.421}, "val": {"pass_at": [0.22535211267605634, 0.323943661971831, 0.39436619718309857, 0.4225352112676056, 0.5070422535211268], "identity_acc": 0.38028169014084506, "rescue_at1": 0.056338028169014086, "harm_at1": 0.2112676056338028, "nonident_top1": 1.0}}, {"params": {"program": 52, "layer_path": [0, 1, 2, 3, 4, 5, 6, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 27], "train_prior": 0.4209}, "val": {"pass_at": [0.2535211267605634, 0.323943661971831, 0.43661971830985913, 0.4647887323943662, 0.5211267605633803], "identity_acc": 0.38028169014084506, "rescue_at1": 0.04225352112676056, "harm_at1": 0.16901408450704225, "nonident_top1": 1.0}}, {"params": {"program": 53, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 19, 20, 21, 22, 23, 24, 25], "train_prior": 0.4209}, "val": {"pass_at": [0.2676056338028169, 0.30985915492957744, 0.4225352112676056, 0.4507042253521127, 0.49295774647887325], "identity_acc": 0.38028169014084506, "rescue_at1": 0.014084507042253521, "harm_at1": 0.1267605633802817, "nonident_top1": 1.0}}, {"params": {"program": 81, "layer_path": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 24, 24, 25, 26, 27], "train_prior": 0.4171}, "val": {"pass_at": [0.16901408450704225, 0.2676056338028169, 0.39436619718309857, 0.43661971830985913, 0.5070422535211268], "identity_acc": 0.38028169014084506, "rescue_at1": 0.056338028169014086, "harm_at1": 0.2676056338028169, "nonident_top1": 1.0}}, {"params": {"program": 94, "layer_path": [0, 1, 2, 3, 4, 5, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 19, 20, 21, 22, 22, 23, 24, 24, 26, 27], "train_prior": 0.4171}, "val": {"pass_at": [0.22535211267605634, 0.29577464788732394, 0.39436619718309857, 0.43661971830985913, 0.5070422535211268], "identity_acc": 0.38028169014084506, "rescue_at1": 0.04225352112676056, "harm_at1": 0.19718309859154928, "nonident_top1": 1.0}}, {"params": {"program": 58, "layer_path": [0, 1, 2, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 14, 14, 15, 16, 17, 18, 19, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.4126}, "val": {"pass_at": [0.18309859154929578, 0.29577464788732394, 0.352112676056338, 0.38028169014084506, 0.4647887323943662], "identity_acc": 0.38028169014084506, "rescue_at1": 0.04225352112676056, "harm_at1": 0.23943661971830985, "nonident_top1": 1.0}}, {"params": {"program": 62, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 18, 19, 19, 20, 21, 22, 23, 24, 25, 26], "train_prior": 0.4126}, "val": {"pass_at": [0.2676056338028169, 0.323943661971831, 0.43661971830985913, 0.43661971830985913, 0.49295774647887325], "identity_acc": 0.38028169014084506, "rescue_at1": 0.014084507042253521, "harm_at1": 0.1267605633802817, "nonident_top1": 1.0}}, {"params": {"program": 64, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 10, 11, 12, 14, 15, 16, 17, 18, 19, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.4023}, "val": {"pass_at": [0.19718309859154928, 0.29577464788732394, 0.352112676056338, 0.39436619718309857, 0.4788732394366197], "identity_acc": 0.38028169014084506, "rescue_at1": 0.04225352112676056, "harm_at1": 0.22535211267605634, "nonident_top1": 1.0}}]}}}
polar_split/fixed_program/llama32_3b/polar_default/seed1/diff1/fold3.json ADDED
@@ -0,0 +1 @@
 
 
1
+ {"difficulty": 1, "menu_size": 128, "prompt_style": "raw", "samples": "/app/data/router_data/theirsplit_cv/l3b_lpselraws1_diff1_f3.json", "n": {"train": 353, "val": 71, "test": 141}, "methods": {"fixed": {"winner": {"program": 43, "layer_path": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.5538}, "val": {"pass_at": [0.36619718309859156, 0.43661971830985913, 0.4647887323943662, 0.49295774647887325, 0.49295774647887325], "identity_acc": 0.38028169014084506, "rescue_at1": 0.07042253521126761, "harm_at1": 0.08450704225352113, "nonident_top1": 1.0}, "test": {"pass_at": [0.3829787234042553, 0.46099290780141844, 0.5390070921985816, 0.5602836879432624, 0.5673758865248227], "identity_acc": 0.44680851063829785, "rescue_at1": 0.05673758865248227, "harm_at1": 0.12056737588652482, "nonident_top1": 1.0, "mcnemar_p": 0.10775214433670044, "n_distinct_top1": 1, "top_nonidentity": [{"layer_path": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "n": 141}], "per_question": [{"query_id": "MATH/train/prealgebra/610.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/322.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/284.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/998.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1172.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2669.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/653.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/811.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/781.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/886.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/243.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/1906.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/710.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/75.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1672.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/133.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1660.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/593.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/1027.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/precalculus/475.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/geometry/501.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/123.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/30.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/2006.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/630.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/231.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/314.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/671.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/25219.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/311.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2638.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/1916.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/geometry/806.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/303.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/872.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/precalculus/1265.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/270.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/451.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/number_theory/438.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/1152.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/234.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/number_theory/548.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/555.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/934.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/296.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/1333.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2108.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/478.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/1943.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/1174.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/number_theory/421.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/173.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1492.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/342.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2751.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/141.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/656.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/algebra/1314.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/313.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/210.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/23952.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2375.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/396.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/2655.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/1988.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/721.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/426.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/292.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/432.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1740.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/226.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/36.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/269.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/1228.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/131.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/170.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/867.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/2491.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/112.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/653.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1968.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/808.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1292.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/344.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/number_theory/61.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/431.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1344.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/531.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/algebra/25244.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/107.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/989.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/222.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/237.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/544.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/34.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/geometry/350.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/97.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/383.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/1932.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/1210.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/450.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/number_theory/223.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/121.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/1053.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1682.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/algebra/2389.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1284.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/193.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/geometry/79.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/precalculus/372.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/50.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/precalculus/765.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/563.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/87.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/44.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/number_theory/628.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/24756.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/738.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/178.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/2105.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/2455.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/710.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/450.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/precalculus/543.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/geometry/598.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/24077.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/328.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/164.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/319.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/precalculus/176.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/858.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/722.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/820.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/539.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/1915.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/906.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/241.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/78.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/1662.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/294.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/1412.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}]}, "all_val": [{"params": {"program": 43, "layer_path": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.5538}, "val": {"pass_at": [0.36619718309859156, 0.43661971830985913, 0.4647887323943662, 0.49295774647887325, 0.49295774647887325], "identity_acc": 0.38028169014084506, "rescue_at1": 0.07042253521126761, "harm_at1": 0.08450704225352113, "nonident_top1": 1.0}}, {"params": {"program": 11, "layer_path": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.5355}, "val": {"pass_at": [0.30985915492957744, 0.43661971830985913, 0.4647887323943662, 0.49295774647887325, 0.49295774647887325], "identity_acc": 0.38028169014084506, "rescue_at1": 0.09859154929577464, "harm_at1": 0.16901408450704225, "nonident_top1": 1.0}}, {"params": {"program": 36, "layer_path": [0, 1, 2, 3, 4, 5, 6, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 19, 20, 21, 22, 22, 23, 24, 25, 26, 27], "train_prior": 0.5243}, "val": {"pass_at": [0.29577464788732394, 0.39436619718309857, 0.4647887323943662, 0.49295774647887325, 0.49295774647887325], "identity_acc": 0.38028169014084506, "rescue_at1": 0.028169014084507043, "harm_at1": 0.11267605633802817, "nonident_top1": 1.0}}, {"params": {"program": 56, "layer_path": [0, 1, 2, 3, 4, 5, 6, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 19, 20, 21, 22, 22, 23, 24, 26, 27], "train_prior": 0.5077}, "val": {"pass_at": [0.2112676056338028, 0.4084507042253521, 0.4788732394366197, 0.49295774647887325, 0.49295774647887325], "identity_acc": 0.38028169014084506, "rescue_at1": 0.028169014084507043, "harm_at1": 0.19718309859154928, "nonident_top1": 1.0}}, {"params": {"program": 58, "layer_path": [0, 1, 2, 2, 3, 4, 5, 6, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 16, 17, 18, 19, 19, 20, 21, 22, 23, 24, 24, 25, 26, 27], "train_prior": 0.4769}, "val": {"pass_at": [0.16901408450704225, 0.39436619718309857, 0.4647887323943662, 0.4647887323943662, 0.49295774647887325], "identity_acc": 0.38028169014084506, "rescue_at1": 0.014084507042253521, "harm_at1": 0.22535211267605634, "nonident_top1": 1.0}}, {"params": {"program": 61, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "train_prior": 0.4769}, "val": {"pass_at": [0.3380281690140845, 0.4647887323943662, 0.5211267605633803, 0.5352112676056338, 0.5492957746478874], "identity_acc": 0.38028169014084506, "rescue_at1": 0.04225352112676056, "harm_at1": 0.08450704225352113, "nonident_top1": 1.0}}, {"params": {"program": 19, "layer_path": [0, 1, 2, 3, 4, 5, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 19, 20, 21, 22, 22, 23, 24, 26, 27], "train_prior": 0.4674}, "val": {"pass_at": [0.23943661971830985, 0.4084507042253521, 0.4788732394366197, 0.49295774647887325, 0.5211267605633803], "identity_acc": 0.38028169014084506, "rescue_at1": 0.056338028169014086, "harm_at1": 0.19718309859154928, "nonident_top1": 1.0}}, {"params": {"program": 25, "layer_path": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 23, 24, 25, 26, 27], "train_prior": 0.462}, "val": {"pass_at": [0.15492957746478872, 0.38028169014084506, 0.43661971830985913, 0.4647887323943662, 0.49295774647887325], "identity_acc": 0.38028169014084506, "rescue_at1": 0.014084507042253521, "harm_at1": 0.23943661971830985, "nonident_top1": 1.0}}, {"params": {"program": 49, "layer_path": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.4586}, "val": {"pass_at": [0.30985915492957744, 0.4084507042253521, 0.4647887323943662, 0.49295774647887325, 0.5211267605633803], "identity_acc": 0.38028169014084506, "rescue_at1": 0.04225352112676056, "harm_at1": 0.11267605633802817, "nonident_top1": 1.0}}, {"params": {"program": 52, "layer_path": [0, 1, 2, 2, 3, 4, 5, 6, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 19, 20, 21, 22, 23, 24, 24, 25, 26, 27], "train_prior": 0.4542}, "val": {"pass_at": [0.18309859154929578, 0.39436619718309857, 0.4647887323943662, 0.4788732394366197, 0.5070422535211268], "identity_acc": 0.38028169014084506, "rescue_at1": 0.014084507042253521, "harm_at1": 0.2112676056338028, "nonident_top1": 1.0}}, {"params": {"program": 48, "layer_path": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 14, 15, 16, 17, 18, 19, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.4378}, "val": {"pass_at": [0.19718309859154928, 0.4647887323943662, 0.5070422535211268, 0.5352112676056338, 0.5633802816901409], "identity_acc": 0.38028169014084506, "rescue_at1": 0.08450704225352113, "harm_at1": 0.2676056338028169, "nonident_top1": 1.0}}, {"params": {"program": 51, "layer_path": [0, 1, 2, 2, 3, 4, 5, 6, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.4315}, "val": {"pass_at": [0.22535211267605634, 0.38028169014084506, 0.4507042253521127, 0.4788732394366197, 0.5070422535211268], "identity_acc": 0.38028169014084506, "rescue_at1": 0.014084507042253521, "harm_at1": 0.16901408450704225, "nonident_top1": 1.0}}, {"params": {"program": 87, "layer_path": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.4022}, "val": {"pass_at": [0.18309859154929578, 0.4084507042253521, 0.4647887323943662, 0.49295774647887325, 0.5070422535211268], "identity_acc": 0.38028169014084506, "rescue_at1": 0.04225352112676056, "harm_at1": 0.23943661971830985, "nonident_top1": 1.0}}, {"params": {"program": 92, "layer_path": [0, 1, 2, 3, 4, 5, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 19, 20, 21, 22, 22, 23, 24, 24, 26, 27], "train_prior": 0.4022}, "val": {"pass_at": [0.22535211267605634, 0.4084507042253521, 0.4788732394366197, 0.49295774647887325, 0.5211267605633803], "identity_acc": 0.38028169014084506, "rescue_at1": 0.04225352112676056, "harm_at1": 0.19718309859154928, "nonident_top1": 1.0}}, {"params": {"program": 94, "layer_path": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.4022}, "val": {"pass_at": [0.2535211267605634, 0.4225352112676056, 0.4788732394366197, 0.49295774647887325, 0.5211267605633803], "identity_acc": 0.38028169014084506, "rescue_at1": 0.028169014084507043, "harm_at1": 0.15492957746478872, "nonident_top1": 1.0}}, {"params": {"program": 95, "layer_path": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.4022}, "val": {"pass_at": [0.2676056338028169, 0.43661971830985913, 0.5070422535211268, 0.5211267605633803, 0.5492957746478874], "identity_acc": 0.38028169014084506, "rescue_at1": 0.04225352112676056, "harm_at1": 0.15492957746478872, "nonident_top1": 1.0}}, {"params": {"program": 98, "layer_path": [0, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 27], "train_prior": 0.4022}, "val": {"pass_at": [0.028169014084507043, 0.36619718309859156, 0.43661971830985913, 0.4647887323943662, 0.49295774647887325], "identity_acc": 0.38028169014084506, "rescue_at1": 0.0, "harm_at1": 0.352112676056338, "nonident_top1": 1.0}}, {"params": {"program": 22, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 15, 16, 17, 17, 18, 19, 20, 21, 23, 24, 25, 25, 26, 27], "train_prior": 0.3833}, "val": {"pass_at": [0.23943661971830985, 0.43661971830985913, 0.49295774647887325, 0.5211267605633803, 0.5352112676056338], "identity_acc": 0.38028169014084506, "rescue_at1": 0.07042253521126761, "harm_at1": 0.2112676056338028, "nonident_top1": 1.0}}, {"params": {"program": 80, "layer_path": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 23, 25, 26, 27], "train_prior": 0.3754}, "val": {"pass_at": [0.2676056338028169, 0.39436619718309857, 0.4507042253521127, 0.4647887323943662, 0.49295774647887325], "identity_acc": 0.38028169014084506, "rescue_at1": 0.028169014084507043, "harm_at1": 0.14084507042253522, "nonident_top1": 1.0}}, {"params": {"program": 93, "layer_path": [0, 1, 2, 3, 4, 5, 6, 6, 7, 8, 9, 10, 11, 12, 13, 14, 16, 17, 18, 19, 19, 20, 21, 22, 22, 23, 24, 26, 27], "train_prior": 0.3754}, "val": {"pass_at": [0.22535211267605634, 0.4647887323943662, 0.5352112676056338, 0.5352112676056338, 0.5492957746478874], "identity_acc": 0.38028169014084506, "rescue_at1": 0.04225352112676056, "harm_at1": 0.19718309859154928, "nonident_top1": 1.0}}]}}}
polar_split/fixed_program/llama32_3b/polar_default/seed1/diff2/fold0.json ADDED
@@ -0,0 +1 @@
 
 
1
+ {"difficulty": 2, "menu_size": 170, "prompt_style": "raw", "samples": "/app/data/router_data/theirsplit_cv/l3b_lpselraws1_diff2_f0.json", "n": {"train": 843, "val": 169, "test": 337}, "methods": {"fixed": {"winner": {"program": 38, "layer_path": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.6169}, "val": {"pass_at": [0.2485207100591716, 0.3076923076923077, 0.3431952662721893, 0.378698224852071, 0.4378698224852071], "identity_acc": 0.27218934911242604, "rescue_at1": 0.07100591715976332, "harm_at1": 0.09467455621301775, "nonident_top1": 1.0}, "test": {"pass_at": [0.23738872403560832, 0.29376854599406527, 0.3620178041543027, 0.3887240356083086, 0.4362017804154303], "identity_acc": 0.26706231454005935, "rescue_at1": 0.0771513353115727, "harm_at1": 0.10682492581602374, "nonident_top1": 1.0, "mcnemar_p": 0.2528543941881108, "n_distinct_top1": 1, "top_nonidentity": [{"layer_path": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "n": 337}], "per_question": [{"query_id": "MATH/train/counting_and_probability/101.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1173.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1525.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1085.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/136.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1563.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1396.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/number_theory/1078.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/384.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/291.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/1128.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1990.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1843.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/933.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/1041.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/1187.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/33.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/1136.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/1989.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/955.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/771.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/69.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/574.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/1205.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/precalculus/598.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/1170.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/663.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/413.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/algebra/467.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/381.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/algebra/1176.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/671.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/1143.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/24453.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/276.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2139.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1966.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/475.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/633.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/45.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/720.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1689.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/43.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/25200.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2083.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/799.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/number_theory/121.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1871.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/972.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/387.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/644.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1242.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/592.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/377.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1397.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/979.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/2162.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/282.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/516.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/347.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/32.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1158.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/294.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/503.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/74.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/467.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/453.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/855.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2443.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1366.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/precalculus/290.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/649.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1078.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2795.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/179.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/985.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2646.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/82.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/geometry/203.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1563.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2580.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/380.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/1983.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/542.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1761.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/precalculus/670.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/700.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/4.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/number_theory/741.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/180.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/549.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/408.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/2050.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/599.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/386.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1516.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/1881.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/742.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/834.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/97.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1389.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/397.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/223.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/440.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/number_theory/485.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/751.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/229.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/geometry/1145.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2336.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1016.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/453.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/25115.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1496.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/401.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/geometry/25086.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/743.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/221.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/1127.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/geometry/52.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/algebra/501.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/570.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/154.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1313.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/31.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/286.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/268.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2679.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/736.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/760.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1478.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1435.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/328.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1874.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1395.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/637.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/799.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/407.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/geometry/1054.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/precalculus/619.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1127.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/geometry/548.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/86.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/57.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/24842.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/191.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2540.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/239.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1045.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/1030.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/534.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/822.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/798.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/843.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/87.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/970.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/243.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1449.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/60.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/744.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/number_theory/578.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/precalculus/171.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1338.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/9.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/1077.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/523.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/174.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/16.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/number_theory/358.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/652.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/507.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/332.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/901.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/609.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/316.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/112.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/algebra/68.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/45.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/344.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/2062.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/1040.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/630.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/340.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/338.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/191.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/214.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/96.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/algebra/169.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/number_theory/735.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2118.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/precalculus/787.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/1418.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1662.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/776.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1881.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/804.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/508.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/319.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1685.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/1100.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/899.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/533.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/222.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/precalculus/120.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/313.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/476.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/1574.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/778.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/geometry/847.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/370.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/548.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/geometry/175.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/1061.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/116.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/156.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1161.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/677.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/precalculus/942.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/61.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/724.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1062.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/81.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/587.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1938.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/799.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/1491.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/440.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/2070.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/487.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/593.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/1047.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1256.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/692.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/91.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/1224.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/830.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/precalculus/480.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/558.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/670.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/87.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/1126.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/573.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/210.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1155.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/423.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/1051.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/665.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1383.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/947.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/425.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1313.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/algebra/376.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/563.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/782.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/246.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/1451.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/376.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/16.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/490.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/1246.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/1979.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/554.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/989.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/426.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/594.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/number_theory/797.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/972.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/number_theory/484.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/487.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/313.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1092.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1280.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/264.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2134.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/349.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/376.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/728.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/784.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1985.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1293.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1573.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/507.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/528.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/1266.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/757.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/1042.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/857.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/407.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1825.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/627.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/number_theory/399.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/174.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/648.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/313.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/algebra/2571.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1383.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1621.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/number_theory/119.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/950.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1881.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/60.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/number_theory/799.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1394.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/439.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/precalculus/391.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/180.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1456.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1903.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/1259.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/290.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/814.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/120.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/899.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/number_theory/256.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/geometry/1019.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/577.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/128.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/546.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2291.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/97.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/2031.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/2446.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/339.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/685.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/840.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/231.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/317.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1603.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/2072.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/355.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1738.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2450.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/392.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/522.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/130.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/20.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/915.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/236.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}]}, "all_val": [{"params": {"program": 38, "layer_path": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.6169}, "val": {"pass_at": [0.2485207100591716, 0.3076923076923077, 0.3431952662721893, 0.378698224852071, 0.4378698224852071], "identity_acc": 0.27218934911242604, "rescue_at1": 0.07100591715976332, "harm_at1": 0.09467455621301775, "nonident_top1": 1.0}}, {"params": {"program": 42, "layer_path": [0, 1, 2, 2, 3, 4, 5, 6, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.5905}, "val": {"pass_at": [0.14201183431952663, 0.3076923076923077, 0.3431952662721893, 0.378698224852071, 0.4378698224852071], "identity_acc": 0.27218934911242604, "rescue_at1": 0.05325443786982249, "harm_at1": 0.1834319526627219, "nonident_top1": 1.0}}, {"params": {"program": 47, "layer_path": [0, 1, 2, 3, 4, 5, 6, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 19, 20, 21, 22, 22, 23, 24, 25, 26, 27], "train_prior": 0.5039}, "val": {"pass_at": [0.15976331360946747, 0.28994082840236685, 0.3431952662721893, 0.378698224852071, 0.4378698224852071], "identity_acc": 0.27218934911242604, "rescue_at1": 0.01775147928994083, "harm_at1": 0.1301775147928994, "nonident_top1": 1.0}}, {"params": {"program": 32, "layer_path": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 23, 24, 25, 26, 27], "train_prior": 0.4844}, "val": {"pass_at": [0.13609467455621302, 0.3136094674556213, 0.3609467455621302, 0.378698224852071, 0.4378698224852071], "identity_acc": 0.27218934911242604, "rescue_at1": 0.03550295857988166, "harm_at1": 0.17159763313609466, "nonident_top1": 1.0}}, {"params": {"program": 62, "layer_path": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.4837}, "val": {"pass_at": [0.2485207100591716, 0.3668639053254438, 0.40236686390532544, 0.41420118343195267, 0.4378698224852071], "identity_acc": 0.27218934911242604, "rescue_at1": 0.08284023668639054, "harm_at1": 0.10650887573964497, "nonident_top1": 1.0}}, {"params": {"program": 24, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 19, 20, 21, 22, 23, 24, 25, 26], "train_prior": 0.4656}, "val": {"pass_at": [0.13609467455621302, 0.30177514792899407, 0.3431952662721893, 0.3668639053254438, 0.39644970414201186], "identity_acc": 0.27218934911242604, "rescue_at1": 0.047337278106508875, "harm_at1": 0.1834319526627219, "nonident_top1": 1.0}}, {"params": {"program": 20, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 15, 16, 17, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.456}, "val": {"pass_at": [0.20118343195266272, 0.3076923076923077, 0.35502958579881655, 0.3668639053254438, 0.3905325443786982], "identity_acc": 0.27218934911242604, "rescue_at1": 0.0650887573964497, "harm_at1": 0.13609467455621302, "nonident_top1": 1.0}}, {"params": {"program": 53, "layer_path": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.4556}, "val": {"pass_at": [0.17159763313609466, 0.28994082840236685, 0.3431952662721893, 0.3727810650887574, 0.40236686390532544], "identity_acc": 0.27218934911242604, "rescue_at1": 0.047337278106508875, "harm_at1": 0.14792899408284024, "nonident_top1": 1.0}}, {"params": {"program": 10, "layer_path": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.4498}, "val": {"pass_at": [0.20710059171597633, 0.3076923076923077, 0.34911242603550297, 0.3727810650887574, 0.39644970414201186], "identity_acc": 0.27218934911242604, "rescue_at1": 0.05325443786982249, "harm_at1": 0.11834319526627218, "nonident_top1": 1.0}}, {"params": {"program": 27, "layer_path": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.4481}, "val": {"pass_at": [0.13609467455621302, 0.30177514792899407, 0.3609467455621302, 0.3905325443786982, 0.40828402366863903], "identity_acc": 0.27218934911242604, "rescue_at1": 0.05325443786982249, "harm_at1": 0.1893491124260355, "nonident_top1": 1.0}}, {"params": {"program": 67, "layer_path": [0, 1, 2, 2, 3, 4, 5, 6, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 19, 20, 21, 22, 23, 24, 24, 25, 26, 27], "train_prior": 0.4218}, "val": {"pass_at": [0.14201183431952663, 0.2958579881656805, 0.31952662721893493, 0.35502958579881655, 0.3905325443786982], "identity_acc": 0.27218934911242604, "rescue_at1": 0.05917159763313609, "harm_at1": 0.1893491124260355, "nonident_top1": 1.0}}, {"params": {"program": 87, "layer_path": [0, 1, 2, 3, 5, 6, 7, 8, 9, 10, 11, 12, 10, 11, 12, 13, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.4191}, "val": {"pass_at": [0.1834319526627219, 0.3136094674556213, 0.35502958579881655, 0.3727810650887574, 0.40236686390532544], "identity_acc": 0.27218934911242604, "rescue_at1": 0.03550295857988166, "harm_at1": 0.1242603550295858, "nonident_top1": 1.0}}, {"params": {"program": 45, "layer_path": [0, 1, 2, 3, 4, 5, 6, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 27], "train_prior": 0.4134}, "val": {"pass_at": [0.14792899408284024, 0.3136094674556213, 0.3668639053254438, 0.3905325443786982, 0.42011834319526625], "identity_acc": 0.27218934911242604, "rescue_at1": 0.047337278106508875, "harm_at1": 0.17159763313609466, "nonident_top1": 1.0}}, {"params": {"program": 57, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "train_prior": 0.4041}, "val": {"pass_at": [0.20710059171597633, 0.3254437869822485, 0.3668639053254438, 0.38461538461538464, 0.42011834319526625], "identity_acc": 0.27218934911242604, "rescue_at1": 0.0650887573964497, "harm_at1": 0.1301775147928994, "nonident_top1": 1.0}}, {"params": {"program": 19, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 18, 19, 20, 21, 22, 23, 23, 24, 25, 26, 27], "train_prior": 0.4032}, "val": {"pass_at": [0.1242603550295858, 0.28402366863905326, 0.33727810650887574, 0.3609467455621302, 0.39644970414201186], "identity_acc": 0.27218934911242604, "rescue_at1": 0.03550295857988166, "harm_at1": 0.1834319526627219, "nonident_top1": 1.0}}, {"params": {"program": 31, "layer_path": [0, 1, 2, 3, 4, 5, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 19, 20, 21, 22, 22, 23, 24, 26, 27], "train_prior": 0.3989}, "val": {"pass_at": [0.11834319526627218, 0.30177514792899407, 0.3431952662721893, 0.3668639053254438, 0.39644970414201186], "identity_acc": 0.27218934911242604, "rescue_at1": 0.029585798816568046, "harm_at1": 0.1834319526627219, "nonident_top1": 1.0}}, {"params": {"program": 22, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 15, 16, 17, 17, 18, 19, 20, 21, 22, 23, 24, 25, 25, 26, 27], "train_prior": 0.3878}, "val": {"pass_at": [0.17751479289940827, 0.30177514792899407, 0.34911242603550297, 0.3609467455621302, 0.3905325443786982], "identity_acc": 0.27218934911242604, "rescue_at1": 0.05325443786982249, "harm_at1": 0.14792899408284024, "nonident_top1": 1.0}}, {"params": {"program": 98, "layer_path": [0, 1, 2, 3, 4, 5, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 19, 20, 21, 22, 22, 23, 24, 25, 25, 26, 27], "train_prior": 0.3828}, "val": {"pass_at": [0.10650887573964497, 0.2958579881656805, 0.34911242603550297, 0.3727810650887574, 0.39644970414201186], "identity_acc": 0.27218934911242604, "rescue_at1": 0.047337278106508875, "harm_at1": 0.21301775147928995, "nonident_top1": 1.0}}, {"params": {"program": 78, "layer_path": [0, 1, 2, 3, 4, 5, 6, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 19, 20, 21, 22, 22, 23, 24, 26, 27], "train_prior": 0.3693}, "val": {"pass_at": [0.14201183431952663, 0.30177514792899407, 0.35502958579881655, 0.3727810650887574, 0.40828402366863903], "identity_acc": 0.27218934911242604, "rescue_at1": 0.03550295857988166, "harm_at1": 0.16568047337278108, "nonident_top1": 1.0}}, {"params": {"program": 25, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 15, 16, 17, 17, 18, 19, 20, 21, 23, 24, 25, 25, 26, 27], "train_prior": 0.3692}, "val": {"pass_at": [0.20118343195266272, 0.33727810650887574, 0.3727810650887574, 0.3905325443786982, 0.40828402366863903], "identity_acc": 0.27218934911242604, "rescue_at1": 0.08875739644970414, "harm_at1": 0.15976331360946747, "nonident_top1": 1.0}}]}}}
polar_split/fixed_program/llama32_3b/polar_default/seed1/diff2/fold1.json ADDED
@@ -0,0 +1 @@
 
 
1
+ {"difficulty": 2, "menu_size": 173, "prompt_style": "raw", "samples": "/app/data/router_data/theirsplit_cv/l3b_lpselraws1_diff2_f1.json", "n": {"train": 843, "val": 169, "test": 337}, "methods": {"fixed": {"winner": {"program": 8, "layer_path": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.4738}, "val": {"pass_at": [0.23668639053254437, 0.33727810650887574, 0.3609467455621302, 0.40236686390532544, 0.4378698224852071], "identity_acc": 0.26627218934911245, "rescue_at1": 0.07692307692307693, "harm_at1": 0.10650887573964497, "nonident_top1": 1.0}, "test": {"pass_at": [0.228486646884273, 0.29376854599406527, 0.36795252225519287, 0.4332344213649852, 0.456973293768546], "identity_acc": 0.3086053412462908, "rescue_at1": 0.06231454005934718, "harm_at1": 0.142433234421365, "nonident_top1": 1.0, "mcnemar_p": 0.0015503169494868645, "n_distinct_top1": 1, "top_nonidentity": [{"layer_path": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "n": 337}], "per_question": [{"query_id": "MATH/train/prealgebra/921.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/1141.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/287.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/538.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/281.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/494.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/732.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2354.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1596.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/609.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1402.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/268.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/24403.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/959.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1159.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/precalculus/888.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/522.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/2575.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/773.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/225.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/1264.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2697.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1237.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1531.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/112.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/813.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/2198.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1763.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2454.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/number_theory/465.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/geometry/230.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1346.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/1105.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2124.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/2431.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1942.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/562.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1974.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/1277.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1943.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2802.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/642.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/27.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/precalculus/385.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/52.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/715.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/655.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/383.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/785.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/geometry/378.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/1062.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2811.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2636.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/24621.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1259.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/944.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/geometry/833.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1751.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/672.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/787.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1031.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1780.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/539.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/1561.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/90.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/906.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/368.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/precalculus/1269.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/700.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1963.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/787.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/891.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1989.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1156.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2545.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1027.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/802.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/19.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/geometry/820.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1340.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/1971.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/geometry/831.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1922.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/547.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/719.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/350.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/geometry/536.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2684.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/240.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/517.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/952.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/491.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1311.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1872.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/algebra/1478.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/791.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/424.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/580.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/755.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2776.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/algebra/1559.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/1308.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/28.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/794.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/563.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/869.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1766.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/186.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/algebra/24139.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/226.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/1162.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1927.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/1410.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1747.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/278.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/529.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/208.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1307.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/820.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/249.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/819.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/827.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/721.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/93.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2132.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/549.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/819.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1690.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1916.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/2478.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/524.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/1671.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1010.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/31.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/142.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/385.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/828.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/269.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/number_theory/906.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/algebra/465.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1481.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1048.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/219.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1699.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/294.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/147.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/1140.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1885.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/823.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/60.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/121.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1293.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/707.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/389.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/number_theory/527.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2764.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/463.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/263.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/949.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/361.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2348.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/373.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/144.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/345.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/number_theory/550.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1482.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/525.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1756.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/742.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1681.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/24629.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2250.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/128.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/1065.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2158.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/geometry/170.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/540.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/precalculus/853.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/875.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/52.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/211.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/363.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/number_theory/724.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/precalculus/104.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/54.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/92.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/565.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/631.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/767.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/2667.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2128.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/604.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/784.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/672.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/150.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/373.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/49.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1744.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/995.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/844.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/635.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/number_theory/1007.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/number_theory/401.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1651.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/568.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/algebra/606.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/20.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/683.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/1839.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1721.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/518.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1766.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/precalculus/578.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1721.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/2069.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1089.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/774.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2034.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1174.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/precalculus/9.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1540.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/976.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/531.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/541.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1718.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1939.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/746.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/218.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/geometry/987.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/743.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/precalculus/457.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/1921.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/517.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/precalculus/813.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/2083.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/1060.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/1015.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1196.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1538.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/geometry/286.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/1665.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/geometry/133.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/815.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1826.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/geometry/647.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/275.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/number_theory/176.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/1113.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/24503.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/827.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/precalculus/1075.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/120.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/943.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/716.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2312.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1138.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/194.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/405.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/315.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/25070.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/precalculus/795.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/number_theory/334.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/480.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/374.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/262.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/179.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/909.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/661.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/11.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/730.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/765.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/1453.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/75.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/1116.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/118.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/1251.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/778.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/202.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/696.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/484.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1584.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/418.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/680.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/precalculus/273.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/522.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/number_theory/197.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/number_theory/851.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/precalculus/231.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/668.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/precalculus/928.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/algebra/1173.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/178.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/282.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/1381.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/700.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/315.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/655.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/738.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/299.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/343.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/516.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/885.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/2775.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/precalculus/635.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2205.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/640.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/2343.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/algebra/800.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/386.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/geometry/821.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1847.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/994.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1653.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2500.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/954.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/220.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1072.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/143.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/precalculus/134.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/209.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/52.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1653.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/2645.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/178.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/1094.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/407.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/120.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/6.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1956.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/1085.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/397.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/344.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/29.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/337.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/79.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/817.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/125.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}]}, "all_val": [{"params": {"program": 39, "layer_path": [0, 1, 2, 2, 3, 4, 5, 6, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.6197}, "val": {"pass_at": [0.1893491124260355, 0.30177514792899407, 0.3609467455621302, 0.40236686390532544, 0.4378698224852071], "identity_acc": 0.26627218934911245, "rescue_at1": 0.08875739644970414, "harm_at1": 0.16568047337278108, "nonident_top1": 1.0}}, {"params": {"program": 40, "layer_path": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.5902}, "val": {"pass_at": [0.23076923076923078, 0.30177514792899407, 0.3609467455621302, 0.40236686390532544, 0.4378698224852071], "identity_acc": 0.26627218934911245, "rescue_at1": 0.07692307692307693, "harm_at1": 0.11242603550295859, "nonident_top1": 1.0}}, {"params": {"program": 67, "layer_path": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.4812}, "val": {"pass_at": [0.1952662721893491, 0.2958579881656805, 0.3609467455621302, 0.40236686390532544, 0.4378698224852071], "identity_acc": 0.26627218934911245, "rescue_at1": 0.05325443786982249, "harm_at1": 0.1242603550295858, "nonident_top1": 1.0}}, {"params": {"program": 8, "layer_path": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.4738}, "val": {"pass_at": [0.23668639053254437, 0.33727810650887574, 0.3609467455621302, 0.40236686390532544, 0.4378698224852071], "identity_acc": 0.26627218934911245, "rescue_at1": 0.07692307692307693, "harm_at1": 0.10650887573964497, "nonident_top1": 1.0}}, {"params": {"program": 23, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 19, 20, 21, 22, 23, 24, 25, 26], "train_prior": 0.4707}, "val": {"pass_at": [0.13609467455621302, 0.25443786982248523, 0.34911242603550297, 0.40828402366863903, 0.4378698224852071], "identity_acc": 0.26627218934911245, "rescue_at1": 0.047337278106508875, "harm_at1": 0.17751479289940827, "nonident_top1": 1.0}}, {"params": {"program": 38, "layer_path": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 23, 24, 25, 26, 27], "train_prior": 0.4695}, "val": {"pass_at": [0.11834319526627218, 0.2603550295857988, 0.34911242603550297, 0.40236686390532544, 0.4378698224852071], "identity_acc": 0.26627218934911245, "rescue_at1": 0.04142011834319527, "harm_at1": 0.1893491124260355, "nonident_top1": 1.0}}, {"params": {"program": 49, "layer_path": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.4432}, "val": {"pass_at": [0.1952662721893491, 0.2603550295857988, 0.33136094674556216, 0.38461538461538464, 0.4260355029585799], "identity_acc": 0.26627218934911245, "rescue_at1": 0.04142011834319527, "harm_at1": 0.11242603550295859, "nonident_top1": 1.0}}, {"params": {"program": 15, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 18, 19, 20, 21, 22, 23, 23, 24, 25, 26, 27], "train_prior": 0.432}, "val": {"pass_at": [0.17751479289940827, 0.26627218934911245, 0.35502958579881655, 0.3905325443786982, 0.4319526627218935], "identity_acc": 0.26627218934911245, "rescue_at1": 0.04142011834319527, "harm_at1": 0.1301775147928994, "nonident_top1": 1.0}}, {"params": {"program": 62, "layer_path": [0, 1, 2, 2, 3, 4, 5, 6, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 19, 20, 21, 22, 23, 24, 24, 25, 26, 27], "train_prior": 0.431}, "val": {"pass_at": [0.15384615384615385, 0.20118343195266272, 0.3076923076923077, 0.3668639053254438, 0.40236686390532544], "identity_acc": 0.26627218934911245, "rescue_at1": 0.07692307692307693, "harm_at1": 0.1893491124260355, "nonident_top1": 1.0}}, {"params": {"program": 26, "layer_path": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.4295}, "val": {"pass_at": [0.11834319526627218, 0.27218934911242604, 0.3431952662721893, 0.38461538461538464, 0.42011834319526625], "identity_acc": 0.26627218934911245, "rescue_at1": 0.047337278106508875, "harm_at1": 0.1952662721893491, "nonident_top1": 1.0}}, {"params": {"program": 58, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "train_prior": 0.4216}, "val": {"pass_at": [0.23668639053254437, 0.33136094674556216, 0.378698224852071, 0.40828402366863903, 0.4378698224852071], "identity_acc": 0.26627218934911245, "rescue_at1": 0.05917159763313609, "harm_at1": 0.08875739644970414, "nonident_top1": 1.0}}, {"params": {"program": 21, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 15, 16, 17, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.4078}, "val": {"pass_at": [0.1834319526627219, 0.3076923076923077, 0.38461538461538464, 0.42011834319526625, 0.44970414201183434], "identity_acc": 0.26627218934911245, "rescue_at1": 0.07100591715976332, "harm_at1": 0.15384615384615385, "nonident_top1": 1.0}}, {"params": {"program": 105, "layer_path": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.4046}, "val": {"pass_at": [0.15976331360946747, 0.26627218934911245, 0.34911242603550297, 0.3905325443786982, 0.4260355029585799], "identity_acc": 0.26627218934911245, "rescue_at1": 0.0650887573964497, "harm_at1": 0.17159763313609466, "nonident_top1": 1.0}}, {"params": {"program": 108, "layer_path": [0, 1, 2, 3, 5, 6, 7, 8, 9, 10, 11, 12, 10, 11, 12, 13, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.4046}, "val": {"pass_at": [0.16568047337278108, 0.2603550295857988, 0.3431952662721893, 0.38461538461538464, 0.4260355029585799], "identity_acc": 0.26627218934911245, "rescue_at1": 0.0650887573964497, "harm_at1": 0.16568047337278108, "nonident_top1": 1.0}}, {"params": {"program": 81, "layer_path": [0, 1, 2, 3, 4, 5, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 19, 20, 21, 22, 22, 23, 24, 25, 25, 26, 27], "train_prior": 0.3927}, "val": {"pass_at": [0.11834319526627218, 0.23668639053254437, 0.3254437869822485, 0.378698224852071, 0.42011834319526625], "identity_acc": 0.26627218934911245, "rescue_at1": 0.023668639053254437, "harm_at1": 0.17159763313609466, "nonident_top1": 1.0}}, {"params": {"program": 51, "layer_path": [0, 1, 2, 3, 4, 5, 6, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 19, 20, 21, 22, 22, 23, 24, 25, 26, 27], "train_prior": 0.3864}, "val": {"pass_at": [0.20118343195266272, 0.30177514792899407, 0.378698224852071, 0.42011834319526625, 0.4556213017751479], "identity_acc": 0.26627218934911245, "rescue_at1": 0.07100591715976332, "harm_at1": 0.13609467455621302, "nonident_top1": 1.0}}, {"params": {"program": 77, "layer_path": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 9, 10, 11, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 27], "train_prior": 0.3842}, "val": {"pass_at": [0.11834319526627218, 0.2781065088757396, 0.3431952662721893, 0.39644970414201186, 0.4378698224852071], "identity_acc": 0.26627218934911245, "rescue_at1": 0.04142011834319527, "harm_at1": 0.1893491124260355, "nonident_top1": 1.0}}, {"params": {"program": 22, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 15, 16, 17, 17, 18, 19, 20, 21, 23, 24, 25, 25, 26, 27], "train_prior": 0.3818}, "val": {"pass_at": [0.15384615384615385, 0.28994082840236685, 0.378698224852071, 0.42011834319526625, 0.4437869822485207], "identity_acc": 0.26627218934911245, "rescue_at1": 0.05325443786982249, "harm_at1": 0.16568047337278108, "nonident_top1": 1.0}}, {"params": {"program": 65, "layer_path": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 24, 25, 26, 27], "train_prior": 0.3817}, "val": {"pass_at": [0.09467455621301775, 0.2485207100591716, 0.33727810650887574, 0.378698224852071, 0.41420118343195267], "identity_acc": 0.26627218934911245, "rescue_at1": 0.011834319526627219, "harm_at1": 0.1834319526627219, "nonident_top1": 1.0}}, {"params": {"program": 111, "layer_path": [0, 1, 2, 3, 4, 5, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 26, 27], "train_prior": 0.362}, "val": {"pass_at": [0.13609467455621302, 0.2485207100591716, 0.3254437869822485, 0.38461538461538464, 0.42011834319526625], "identity_acc": 0.26627218934911245, "rescue_at1": 0.04142011834319527, "harm_at1": 0.17159763313609466, "nonident_top1": 1.0}}]}}}
polar_split/fixed_program/llama32_3b/polar_default/seed1/diff2/fold2.json ADDED
@@ -0,0 +1 @@
 
 
1
+ {"difficulty": 2, "menu_size": 170, "prompt_style": "raw", "samples": "/app/data/router_data/theirsplit_cv/l3b_lpselraws1_diff2_f2.json", "n": {"train": 842, "val": 169, "test": 338}, "methods": {"fixed": {"winner": {"program": 92, "layer_path": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.4016}, "val": {"pass_at": [0.2485207100591716, 0.3254437869822485, 0.33136094674556216, 0.3668639053254438, 0.41420118343195267], "identity_acc": 0.26627218934911245, "rescue_at1": 0.08875739644970414, "harm_at1": 0.10650887573964497, "nonident_top1": 1.0}, "test": {"pass_at": [0.2603550295857988, 0.35502958579881655, 0.3994082840236686, 0.4349112426035503, 0.5], "identity_acc": 0.28106508875739644, "rescue_at1": 0.0650887573964497, "harm_at1": 0.08579881656804733, "nonident_top1": 1.0, "mcnemar_p": 0.4010619910279374, "n_distinct_top1": 1, "top_nonidentity": [{"layer_path": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "n": 338}], "per_question": [{"query_id": "MATH/train/algebra/1074.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2044.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/518.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2634.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/730.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/427.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2175.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/1598.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/396.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/272.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/233.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1124.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2464.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/153.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/127.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/number_theory/164.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1835.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/number_theory/1219.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1537.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/18.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/1244.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/378.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/948.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/385.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/608.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/490.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1862.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/983.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1230.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/127.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/762.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/314.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/precalculus/693.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/417.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/267.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1120.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/716.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/1254.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1817.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/168.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/1958.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/782.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/672.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/706.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/geometry/649.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/706.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/431.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/2106.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/448.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/366.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/1683.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1310.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/1266.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/40.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/1280.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/821.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/397.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/precalculus/220.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/179.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/1352.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1566.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/number_theory/189.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/420.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/1113.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/25337.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/982.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/966.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/491.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1298.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/25257.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1960.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/2041.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/646.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/838.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/44.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/556.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/681.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/2012.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/1063.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/653.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/65.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/638.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/283.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/589.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/1933.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/geometry/166.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/981.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1344.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1460.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1927.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/352.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/736.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/25473.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/142.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/precalculus/240.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/534.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/253.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1771.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/888.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/2137.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/algebra/2123.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/197.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/776.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/198.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/2025.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/433.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/301.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1833.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1383.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/297.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/429.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/geometry/165.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1914.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/number_theory/52.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/32.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/186.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/algebra/2279.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/826.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/567.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/705.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/922.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/997.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/365.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/2164.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/754.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/291.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/130.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1440.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/1023.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/1230.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/62.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/317.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/679.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1711.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/algebra/23905.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1469.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/401.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/722.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/607.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/number_theory/44.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/766.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/464.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/377.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/159.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/1008.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/39.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/1268.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/491.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/235.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/562.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/precalculus/1197.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/669.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/325.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1171.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/277.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/18.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/369.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1867.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/444.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/number_theory/579.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/285.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/683.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/319.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/geometry/829.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/721.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/2639.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/273.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/246.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/131.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/1577.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1777.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/305.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/678.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/702.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/603.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/63.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/1285.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1371.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/1254.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/437.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/geometry/752.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/634.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/470.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/312.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/geometry/117.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/450.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2247.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1127.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/precalculus/339.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/algebra/980.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/364.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1051.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/number_theory/307.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/115.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/741.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1309.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/2116.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/2794.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1152.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1299.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/605.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/202.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/number_theory/662.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/2044.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/geometry/184.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/number_theory/712.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/905.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/76.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/678.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/410.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/353.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1043.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/214.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/524.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/512.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/406.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1583.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/691.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/algebra/1276.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/92.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/number_theory/78.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/90.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/230.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/901.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/1079.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/algebra/1094.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/273.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1904.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/400.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/175.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/1309.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/230.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/2181.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1393.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/400.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/916.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/930.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1394.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/193.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/38.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/precalculus/70.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1333.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/1919.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/642.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/282.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/59.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/precalculus/918.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/precalculus/1268.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/precalculus/64.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/1713.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1674.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/227.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/839.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/geometry/995.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/243.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/precalculus/384.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/113.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/767.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1873.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2204.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/202.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/algebra/272.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/680.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1326.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/293.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/2640.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/402.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/530.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/251.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/2007.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/precalculus/392.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/608.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/number_theory/264.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/geometry/1049.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/696.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/160.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/precalculus/689.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/833.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1116.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/1213.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/795.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1476.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1959.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/345.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/25348.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/821.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/84.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/80.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1532.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/612.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/2758.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/306.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/164.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/720.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2722.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/634.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/800.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/1529.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/557.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/geometry/330.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/174.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/geometry/1011.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/64.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/46.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1127.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/514.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1766.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1081.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/42.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1465.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2760.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/number_theory/241.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/822.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/433.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/717.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/precalculus/379.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1667.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/287.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/329.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/325.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1249.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/2104.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/617.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/173.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/2338.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/148.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/707.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/982.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/1040.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/401.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/473.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/752.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/geometry/394.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/83.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/893.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/36.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/155.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/1122.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}]}, "all_val": [{"params": {"program": 42, "layer_path": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.5675}, "val": {"pass_at": [0.23076923076923078, 0.2781065088757396, 0.31952662721893493, 0.378698224852071, 0.41420118343195267], "identity_acc": 0.26627218934911245, "rescue_at1": 0.07692307692307693, "harm_at1": 0.11242603550295859, "nonident_top1": 1.0}}, {"params": {"program": 48, "layer_path": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.4675}, "val": {"pass_at": [0.1952662721893491, 0.2781065088757396, 0.31952662721893493, 0.378698224852071, 0.41420118343195267], "identity_acc": 0.26627218934911245, "rescue_at1": 0.04142011834319527, "harm_at1": 0.11242603550295859, "nonident_top1": 1.0}}, {"params": {"program": 27, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 19, 20, 21, 22, 23, 24, 25, 26], "train_prior": 0.4619}, "val": {"pass_at": [0.13609467455621302, 0.28994082840236685, 0.31952662721893493, 0.378698224852071, 0.41420118343195267], "identity_acc": 0.26627218934911245, "rescue_at1": 0.047337278106508875, "harm_at1": 0.17751479289940827, "nonident_top1": 1.0}}, {"params": {"program": 20, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 15, 16, 17, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.4473}, "val": {"pass_at": [0.1834319526627219, 0.3254437869822485, 0.34911242603550297, 0.378698224852071, 0.41420118343195267], "identity_acc": 0.26627218934911245, "rescue_at1": 0.07100591715976332, "harm_at1": 0.15384615384615385, "nonident_top1": 1.0}}, {"params": {"program": 34, "layer_path": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 23, 24, 25, 26, 27], "train_prior": 0.4469}, "val": {"pass_at": [0.11834319526627218, 0.2958579881656805, 0.3254437869822485, 0.3609467455621302, 0.41420118343195267], "identity_acc": 0.26627218934911245, "rescue_at1": 0.04142011834319527, "harm_at1": 0.1893491124260355, "nonident_top1": 1.0}}, {"params": {"program": 13, "layer_path": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.4235}, "val": {"pass_at": [0.23668639053254437, 0.30177514792899407, 0.33727810650887574, 0.3668639053254438, 0.42011834319526625], "identity_acc": 0.26627218934911245, "rescue_at1": 0.07692307692307693, "harm_at1": 0.10650887573964497, "nonident_top1": 1.0}}, {"params": {"program": 43, "layer_path": [0, 1, 2, 3, 4, 5, 6, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 27], "train_prior": 0.4217}, "val": {"pass_at": [0.11242603550295859, 0.28994082840236685, 0.31952662721893493, 0.3609467455621302, 0.40236686390532544], "identity_acc": 0.26627218934911245, "rescue_at1": 0.047337278106508875, "harm_at1": 0.20118343195266272, "nonident_top1": 1.0}}, {"params": {"program": 55, "layer_path": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 24, 25, 26, 27], "train_prior": 0.4146}, "val": {"pass_at": [0.09467455621301775, 0.27218934911242604, 0.3076923076923077, 0.33727810650887574, 0.38461538461538464], "identity_acc": 0.26627218934911245, "rescue_at1": 0.011834319526627219, "harm_at1": 0.1834319526627219, "nonident_top1": 1.0}}, {"params": {"program": 56, "layer_path": [0, 1, 2, 2, 3, 4, 5, 6, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.4146}, "val": {"pass_at": [0.1893491124260355, 0.30177514792899407, 0.33136094674556216, 0.3668639053254438, 0.42011834319526625], "identity_acc": 0.26627218934911245, "rescue_at1": 0.08875739644970414, "harm_at1": 0.16568047337278108, "nonident_top1": 1.0}}, {"params": {"program": 45, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 19, 21, 22, 23, 24, 25, 26], "train_prior": 0.4109}, "val": {"pass_at": [0.11834319526627218, 0.28402366863905326, 0.31952662721893493, 0.3431952662721893, 0.39644970414201186], "identity_acc": 0.26627218934911245, "rescue_at1": 0.05325443786982249, "harm_at1": 0.20118343195266272, "nonident_top1": 1.0}}, {"params": {"program": 31, "layer_path": [0, 1, 2, 3, 4, 5, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 19, 20, 21, 22, 22, 23, 24, 26, 27], "train_prior": 0.4033}, "val": {"pass_at": [0.09467455621301775, 0.26627218934911245, 0.3076923076923077, 0.34911242603550297, 0.40236686390532544], "identity_acc": 0.26627218934911245, "rescue_at1": 0.03550295857988166, "harm_at1": 0.20710059171597633, "nonident_top1": 1.0}}, {"params": {"program": 92, "layer_path": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.4016}, "val": {"pass_at": [0.2485207100591716, 0.3254437869822485, 0.33136094674556216, 0.3668639053254438, 0.41420118343195267], "identity_acc": 0.26627218934911245, "rescue_at1": 0.08875739644970414, "harm_at1": 0.10650887573964497, "nonident_top1": 1.0}}, {"params": {"program": 74, "layer_path": [0, 1, 2, 2, 3, 4, 5, 6, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 19, 20, 21, 22, 23, 24, 24, 25, 26, 27], "train_prior": 0.3923}, "val": {"pass_at": [0.15384615384615385, 0.2958579881656805, 0.33136094674556216, 0.3727810650887574, 0.4260355029585799], "identity_acc": 0.26627218934911245, "rescue_at1": 0.07692307692307693, "harm_at1": 0.1893491124260355, "nonident_top1": 1.0}}, {"params": {"program": 50, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "train_prior": 0.3895}, "val": {"pass_at": [0.23668639053254437, 0.33136094674556216, 0.35502958579881655, 0.378698224852071, 0.42011834319526625], "identity_acc": 0.26627218934911245, "rescue_at1": 0.05917159763313609, "harm_at1": 0.08875739644970414, "nonident_top1": 1.0}}, {"params": {"program": 16, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 18, 19, 20, 21, 22, 23, 23, 24, 25, 26, 27], "train_prior": 0.3876}, "val": {"pass_at": [0.17751479289940827, 0.2958579881656805, 0.3254437869822485, 0.3668639053254438, 0.42011834319526625], "identity_acc": 0.26627218934911245, "rescue_at1": 0.04142011834319527, "harm_at1": 0.1301775147928994, "nonident_top1": 1.0}}, {"params": {"program": 65, "layer_path": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 18, 19, 20, 23, 24, 25, 26, 27], "train_prior": 0.3855}, "val": {"pass_at": [0.11834319526627218, 0.2958579881656805, 0.3136094674556213, 0.3431952662721893, 0.39644970414201186], "identity_acc": 0.26627218934911245, "rescue_at1": 0.029585798816568046, "harm_at1": 0.17751479289940827, "nonident_top1": 1.0}}, {"params": {"program": 97, "layer_path": [0, 1, 2, 3, 5, 6, 7, 8, 9, 10, 11, 12, 10, 11, 12, 13, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.3765}, "val": {"pass_at": [0.16568047337278108, 0.30177514792899407, 0.3136094674556213, 0.35502958579881655, 0.40828402366863903], "identity_acc": 0.26627218934911245, "rescue_at1": 0.0650887573964497, "harm_at1": 0.16568047337278108, "nonident_top1": 1.0}}, {"params": {"program": 82, "layer_path": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 9, 10, 11, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 27], "train_prior": 0.3697}, "val": {"pass_at": [0.11834319526627218, 0.27218934911242604, 0.3136094674556213, 0.34911242603550297, 0.40236686390532544], "identity_acc": 0.26627218934911245, "rescue_at1": 0.04142011834319527, "harm_at1": 0.1893491124260355, "nonident_top1": 1.0}}, {"params": {"program": 32, "layer_path": [0, 1, 2, 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.3665}, "val": {"pass_at": [0.15976331360946747, 0.27218934911242604, 0.30177514792899407, 0.3431952662721893, 0.40236686390532544], "identity_acc": 0.26627218934911245, "rescue_at1": 0.047337278106508875, "harm_at1": 0.15384615384615385, "nonident_top1": 1.0}}, {"params": {"program": 120, "layer_path": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.3588}, "val": {"pass_at": [0.15976331360946747, 0.28994082840236685, 0.33136094674556216, 0.3609467455621302, 0.41420118343195267], "identity_acc": 0.26627218934911245, "rescue_at1": 0.0650887573964497, "harm_at1": 0.17159763313609466, "nonident_top1": 1.0}}]}}}
polar_split/fixed_program/llama32_3b/polar_default/seed1/diff2/fold3.json ADDED
@@ -0,0 +1 @@
 
 
1
+ {"difficulty": 2, "menu_size": 168, "prompt_style": "raw", "samples": "/app/data/router_data/theirsplit_cv/l3b_lpselraws1_diff2_f3.json", "n": {"train": 843, "val": 169, "test": 337}, "methods": {"fixed": {"winner": {"program": 12, "layer_path": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.4502}, "val": {"pass_at": [0.23668639053254437, 0.30177514792899407, 0.33727810650887574, 0.3668639053254438, 0.3905325443786982], "identity_acc": 0.26627218934911245, "rescue_at1": 0.07692307692307693, "harm_at1": 0.10650887573964497, "nonident_top1": 1.0}, "test": {"pass_at": [0.2314540059347181, 0.34421364985163205, 0.3887240356083086, 0.42433234421364985, 0.44510385756676557], "identity_acc": 0.3353115727002967, "rescue_at1": 0.05934718100890208, "harm_at1": 0.1632047477744807, "nonident_top1": 1.0, "mcnemar_p": 6.494900196551853e-05, "n_distinct_top1": 1, "top_nonidentity": [{"layer_path": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "n": 337}], "per_question": [{"query_id": "MATH/train/number_theory/730.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/217.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/number_theory/649.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/996.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/1049.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/211.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/geometry/278.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1664.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/1196.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1783.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/1889.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/887.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1763.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/453.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/71.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/551.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/2171.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/234.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1941.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1759.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/507.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/197.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/482.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1537.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/415.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/560.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/number_theory/1166.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1463.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/346.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/961.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/geometry/840.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1636.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1539.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/600.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/precalculus/682.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/16.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/583.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/precalculus/646.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/180.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/765.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/562.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/1158.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/671.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/number_theory/26.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/674.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/223.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/220.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1296.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1720.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/665.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/precalculus/306.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/152.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/2136.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/616.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/633.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/1622.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1645.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1285.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/1129.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/804.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2824.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/791.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/461.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/492.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/552.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/precalculus/446.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1647.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1021.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/precalculus/1167.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2383.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/number_theory/6.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1944.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/2586.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/255.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1174.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1841.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/529.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/315.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/369.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/256.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/54.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/102.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1228.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/753.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/1062.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/precalculus/76.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/number_theory/973.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/number_theory/677.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/1229.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/434.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/2420.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/334.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/90.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1817.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/952.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/2053.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/417.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/27.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/753.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1010.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/213.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/535.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/1472.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/875.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/precalculus/99.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/2071.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/1414.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/982.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1727.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/976.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/683.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1475.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/737.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/number_theory/286.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/precalculus/576.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/981.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/26.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/908.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/545.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/417.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/1018.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2379.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/860.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/468.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/835.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/474.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/1100.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/precalculus/445.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/865.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/2004.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/270.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/505.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/1207.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/1053.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1692.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/561.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2347.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1706.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1207.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/786.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/8.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/854.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/number_theory/478.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/258.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/2016.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/381.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/number_theory/785.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1905.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/1219.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/169.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/137.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/292.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/871.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/543.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/678.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/942.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/algebra/891.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/1984.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/456.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/1059.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/871.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/190.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/1094.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/1042.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/533.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/1209.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/152.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/1590.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1832.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/355.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/1071.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/237.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1305.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/830.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/18.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/2180.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/942.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/2161.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/precalculus/368.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/2610.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1099.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/673.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1367.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2042.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/712.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1972.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/365.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/307.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/465.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1335.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/1544.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/285.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/number_theory/19.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/precalculus/414.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/333.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/330.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/950.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/338.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/367.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1412.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/82.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/578.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/940.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/1690.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/892.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/658.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/79.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/precalculus/698.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1106.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/precalculus/472.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/1097.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/number_theory/217.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/920.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/290.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/904.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1245.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/geometry/298.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/358.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/550.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/118.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/209.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2836.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/391.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/24118.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/1069.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/262.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1593.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1026.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/1027.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1017.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/precalculus/124.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/811.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/200.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/471.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1035.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/502.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/number_theory/522.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/66.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/554.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1579.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/735.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/42.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/algebra/2466.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2148.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1955.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/geometry/618.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/precalculus/358.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1481.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/316.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/346.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/291.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/148.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/287.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/95.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/2175.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/997.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/161.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/2492.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/14.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1384.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/1192.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/687.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/252.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/603.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/654.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/530.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/693.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/368.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1483.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/717.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/1825.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/2729.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/229.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/38.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/29.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2367.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/2490.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1493.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/67.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/607.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/geometry/239.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/96.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/833.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/386.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2061.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/409.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/314.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/532.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/264.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/354.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1016.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/precalculus/502.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/number_theory/637.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/25190.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1222.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/705.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2059.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/geometry/62.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/47.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1377.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/precalculus/943.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/729.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/611.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/precalculus/709.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/precalculus/340.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/2145.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1281.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/931.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/2608.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/783.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1917.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/521.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/algebra/2245.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2573.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/2004.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/676.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/232.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/564.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/427.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/precalculus/400.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/25326.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/589.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1228.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/582.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/361.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/89.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/precalculus/1068.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/1085.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1958.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1861.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/721.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/2085.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/399.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/610.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/1617.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/1039.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/number_theory/420.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}]}, "all_val": [{"params": {"program": 42, "layer_path": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.5765}, "val": {"pass_at": [0.23076923076923078, 0.2781065088757396, 0.31952662721893493, 0.3609467455621302, 0.40236686390532544], "identity_acc": 0.26627218934911245, "rescue_at1": 0.07692307692307693, "harm_at1": 0.11242603550295859, "nonident_top1": 1.0}}, {"params": {"program": 45, "layer_path": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.5158}, "val": {"pass_at": [0.1952662721893491, 0.2781065088757396, 0.31952662721893493, 0.3609467455621302, 0.40236686390532544], "identity_acc": 0.26627218934911245, "rescue_at1": 0.04142011834319527, "harm_at1": 0.11242603550295859, "nonident_top1": 1.0}}, {"params": {"program": 22, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 19, 20, 21, 22, 23, 24, 25, 26], "train_prior": 0.5003}, "val": {"pass_at": [0.13609467455621302, 0.28994082840236685, 0.31952662721893493, 0.3609467455621302, 0.40236686390532544], "identity_acc": 0.26627218934911245, "rescue_at1": 0.047337278106508875, "harm_at1": 0.17751479289940827, "nonident_top1": 1.0}}, {"params": {"program": 40, "layer_path": [0, 1, 2, 3, 4, 5, 6, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 27], "train_prior": 0.4884}, "val": {"pass_at": [0.11242603550295859, 0.28994082840236685, 0.31952662721893493, 0.3609467455621302, 0.40236686390532544], "identity_acc": 0.26627218934911245, "rescue_at1": 0.047337278106508875, "harm_at1": 0.20118343195266272, "nonident_top1": 1.0}}, {"params": {"program": 49, "layer_path": [0, 1, 2, 2, 3, 4, 5, 6, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.4855}, "val": {"pass_at": [0.1893491124260355, 0.30177514792899407, 0.33136094674556216, 0.3668639053254438, 0.40236686390532544], "identity_acc": 0.26627218934911245, "rescue_at1": 0.08875739644970414, "harm_at1": 0.16568047337278108, "nonident_top1": 1.0}}, {"params": {"program": 56, "layer_path": [0, 1, 2, 2, 3, 4, 5, 6, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 19, 20, 21, 22, 23, 24, 24, 25, 26, 27], "train_prior": 0.4651}, "val": {"pass_at": [0.15384615384615385, 0.2958579881656805, 0.33136094674556216, 0.3727810650887574, 0.40828402366863903], "identity_acc": 0.26627218934911245, "rescue_at1": 0.07692307692307693, "harm_at1": 0.1893491124260355, "nonident_top1": 1.0}}, {"params": {"program": 51, "layer_path": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.4524}, "val": {"pass_at": [0.1952662721893491, 0.2958579881656805, 0.33136094674556216, 0.3727810650887574, 0.40828402366863903], "identity_acc": 0.26627218934911245, "rescue_at1": 0.05325443786982249, "harm_at1": 0.1242603550295858, "nonident_top1": 1.0}}, {"params": {"program": 12, "layer_path": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.4502}, "val": {"pass_at": [0.23668639053254437, 0.30177514792899407, 0.33727810650887574, 0.3668639053254438, 0.3905325443786982], "identity_acc": 0.26627218934911245, "rescue_at1": 0.07692307692307693, "harm_at1": 0.10650887573964497, "nonident_top1": 1.0}}, {"params": {"program": 75, "layer_path": [0, 1, 2, 3, 4, 5, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 19, 20, 21, 22, 22, 23, 24, 25, 25, 26, 27], "train_prior": 0.4457}, "val": {"pass_at": [0.11834319526627218, 0.26627218934911245, 0.28994082840236685, 0.33136094674556216, 0.3668639053254438], "identity_acc": 0.26627218934911245, "rescue_at1": 0.023668639053254437, "harm_at1": 0.17159763313609466, "nonident_top1": 1.0}}, {"params": {"program": 80, "layer_path": [0, 1, 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 13, 14, 15, 16, 16, 17, 18, 19, 20, 21, 23, 24, 26, 27], "train_prior": 0.4457}, "val": {"pass_at": [0.09467455621301775, 0.28402366863905326, 0.3136094674556213, 0.35502958579881655, 0.3905325443786982], "identity_acc": 0.26627218934911245, "rescue_at1": 0.03550295857988166, "harm_at1": 0.20710059171597633, "nonident_top1": 1.0}}, {"params": {"program": 73, "layer_path": [0, 1, 2, 3, 4, 5, 6, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 19, 20, 21, 22, 22, 23, 24, 26, 27], "train_prior": 0.4297}, "val": {"pass_at": [0.1242603550295858, 0.28994082840236685, 0.3254437869822485, 0.34911242603550297, 0.38461538461538464], "identity_acc": 0.26627218934911245, "rescue_at1": 0.04142011834319527, "harm_at1": 0.1834319526627219, "nonident_top1": 1.0}}, {"params": {"program": 31, "layer_path": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.4266}, "val": {"pass_at": [0.11834319526627218, 0.27218934911242604, 0.3136094674556213, 0.34911242603550297, 0.3905325443786982], "identity_acc": 0.26627218934911245, "rescue_at1": 0.047337278106508875, "harm_at1": 0.1952662721893491, "nonident_top1": 1.0}}, {"params": {"program": 68, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 18, 19, 19, 20, 21, 22, 23, 24, 25, 26], "train_prior": 0.4176}, "val": {"pass_at": [0.11834319526627218, 0.2781065088757396, 0.31952662721893493, 0.35502958579881655, 0.38461538461538464], "identity_acc": 0.26627218934911245, "rescue_at1": 0.01775147928994083, "harm_at1": 0.16568047337278108, "nonident_top1": 1.0}}, {"params": {"program": 37, "layer_path": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 23, 24, 25, 26, 27], "train_prior": 0.4155}, "val": {"pass_at": [0.11834319526627218, 0.2958579881656805, 0.3254437869822485, 0.3609467455621302, 0.39644970414201186], "identity_acc": 0.26627218934911245, "rescue_at1": 0.04142011834319527, "harm_at1": 0.1893491124260355, "nonident_top1": 1.0}}, {"params": {"program": 46, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 19, 21, 22, 23, 24, 25, 26], "train_prior": 0.4152}, "val": {"pass_at": [0.11834319526627218, 0.28402366863905326, 0.31952662721893493, 0.3431952662721893, 0.378698224852071], "identity_acc": 0.26627218934911245, "rescue_at1": 0.05325443786982249, "harm_at1": 0.20118343195266272, "nonident_top1": 1.0}}, {"params": {"program": 26, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 15, 16, 17, 17, 18, 19, 20, 21, 23, 24, 25, 25, 26, 27], "train_prior": 0.395}, "val": {"pass_at": [0.15384615384615385, 0.31952662721893493, 0.3431952662721893, 0.378698224852071, 0.3905325443786982], "identity_acc": 0.26627218934911245, "rescue_at1": 0.05325443786982249, "harm_at1": 0.16568047337278108, "nonident_top1": 1.0}}, {"params": {"program": 19, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 18, 19, 20, 21, 22, 23, 23, 24, 25, 26, 27], "train_prior": 0.3802}, "val": {"pass_at": [0.17751479289940827, 0.2958579881656805, 0.3254437869822485, 0.3668639053254438, 0.40828402366863903], "identity_acc": 0.26627218934911245, "rescue_at1": 0.04142011834319527, "harm_at1": 0.1301775147928994, "nonident_top1": 1.0}}, {"params": {"program": 27, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 15, 16, 17, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.3721}, "val": {"pass_at": [0.1834319526627219, 0.3254437869822485, 0.34911242603550297, 0.378698224852071, 0.40236686390532544], "identity_acc": 0.26627218934911245, "rescue_at1": 0.07100591715976332, "harm_at1": 0.15384615384615385, "nonident_top1": 1.0}}, {"params": {"program": 55, "layer_path": [0, 1, 2, 3, 4, 5, 6, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 19, 20, 21, 22, 22, 23, 24, 25, 26, 27], "train_prior": 0.3721}, "val": {"pass_at": [0.20118343195266272, 0.31952662721893493, 0.33727810650887574, 0.3727810650887574, 0.41420118343195267], "identity_acc": 0.26627218934911245, "rescue_at1": 0.07100591715976332, "harm_at1": 0.13609467455621302, "nonident_top1": 1.0}}, {"params": {"program": 58, "layer_path": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 14, 15, 16, 17, 18, 19, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.3643}, "val": {"pass_at": [0.13609467455621302, 0.27218934911242604, 0.3136094674556213, 0.34911242603550297, 0.3905325443786982], "identity_acc": 0.26627218934911245, "rescue_at1": 0.05325443786982249, "harm_at1": 0.1834319526627219, "nonident_top1": 1.0}}]}}}
polar_split/fixed_program/llama32_3b/polar_default/seed1/diff3/fold0.json ADDED
@@ -0,0 +1 @@
 
 
1
+ {"difficulty": 3, "menu_size": 153, "prompt_style": "raw", "samples": "/app/data/router_data/theirsplit_cv/l3b_lpselraws1_diff3_f0.json", "n": {"train": 987, "val": 197, "test": 395}, "methods": {"fixed": {"winner": {"program": 119, "layer_path": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.3343}, "val": {"pass_at": [0.18781725888324874, 0.2436548223350254, 0.28426395939086296, 0.3096446700507614, 0.3401015228426396], "identity_acc": 0.2436548223350254, "rescue_at1": 0.04568527918781726, "harm_at1": 0.10152284263959391, "nonident_top1": 1.0}, "test": {"pass_at": [0.17974683544303796, 0.27341772151898736, 0.3037974683544304, 0.32151898734177214, 0.3620253164556962], "identity_acc": 0.21012658227848102, "rescue_at1": 0.06582278481012659, "harm_at1": 0.09620253164556962, "nonident_top1": 1.0, "mcnemar_p": 0.16864291143970336, "n_distinct_top1": 1, "top_nonidentity": [{"layer_path": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "n": 395}], "per_question": [{"query_id": "MATH/train/algebra/1059.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/613.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/145.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/206.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1661.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/817.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/418.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/296.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/1066.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/698.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/60.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1205.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/168.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/711.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/algebra/861.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/107.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1486.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/427.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/509.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/348.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1541.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2110.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/362.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/353.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/1016.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/299.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/717.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1172.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1328.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/695.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/798.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/1572.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2656.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1603.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/precalculus/890.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/125.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/precalculus/630.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/1153.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/320.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/224.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/548.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1325.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/515.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/278.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/65.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/250.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/704.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1346.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/292.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/1882.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/770.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/189.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/1021.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/1809.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/687.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1330.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/876.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/523.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/algebra/439.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/1679.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/166.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/774.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1635.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/744.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/252.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/896.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/1056.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/2069.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/890.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2439.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/868.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/1068.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/24677.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/357.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1029.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/284.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/algebra/2302.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/320.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/474.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/273.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1371.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1201.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1941.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2319.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/860.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/306.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/2080.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/2174.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/precalculus/245.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1619.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/978.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/1901.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/680.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/660.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/24673.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/623.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/1906.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/578.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/112.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/precalculus/629.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1978.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/786.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1528.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2095.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/133.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/688.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/number_theory/1262.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/number_theory/25764.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1677.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/620.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/1910.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/241.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/939.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/number_theory/268.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/292.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/984.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/3.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/904.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/569.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1118.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/911.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/321.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/geometry/220.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/335.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/273.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2537.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2390.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/708.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/550.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1967.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/597.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/215.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/number_theory/265.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/508.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/447.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1417.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/161.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1250.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2535.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/1322.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/1107.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/129.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/284.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/521.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/precalculus/501.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/271.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/precalculus/948.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/918.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/geometry/622.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/1249.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/number_theory/944.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/705.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/24888.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/752.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/1473.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1756.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/932.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/153.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/418.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/1542.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/49.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1452.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1695.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/848.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/503.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/1263.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/337.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/664.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/29.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/909.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/647.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/2186.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2103.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/384.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/number_theory/568.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/geometry/789.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/435.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/1121.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/1221.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2138.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/geometry/1074.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/1052.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/951.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2717.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/381.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/1484.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/algebra/172.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1998.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/1013.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/600.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/599.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/687.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2190.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/248.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/458.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1064.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/755.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2676.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1193.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/636.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/geometry/479.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/514.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/146.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/algebra/310.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/941.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1521.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/659.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/2096.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1708.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/geometry/560.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/number_theory/697.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/precalculus/178.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/precalculus/405.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/627.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/958.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/1023.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/691.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/269.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2635.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/459.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/179.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/1076.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/611.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/551.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/824.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/1017.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2829.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/973.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/963.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1564.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1150.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2509.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/292.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/198.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1382.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/334.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/number_theory/723.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/1244.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/745.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/1273.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1557.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/204.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/number_theory/1170.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/algebra/751.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/799.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/1259.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1464.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1585.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/955.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/75.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/geometry/643.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/precalculus/14.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/818.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/867.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1278.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2079.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/15.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1518.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/558.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/geometry/919.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/957.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/1023.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/784.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/537.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1067.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/874.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/603.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1308.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/177.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1064.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/681.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/790.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/number_theory/195.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/695.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/350.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2425.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/algebra/274.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1987.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1139.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/511.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1674.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/796.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/277.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/80.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/448.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/111.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/615.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/1011.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/979.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/2173.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1619.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/263.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1180.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/226.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/191.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1079.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1509.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2561.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/328.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/335.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/956.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/791.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/383.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/526.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/995.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/192.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/607.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1428.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/precalculus/1012.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/314.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1508.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/667.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/2077.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2763.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/number_theory/158.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/56.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2410.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/388.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/574.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/534.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/248.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/548.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1632.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1925.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/221.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/228.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/21.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/783.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/geometry/555.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/1211.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/170.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/959.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/409.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/1459.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1378.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2532.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1723.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/730.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2488.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/698.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/1073.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/534.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/340.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/2057.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/502.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/763.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1113.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1329.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/924.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/732.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/380.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2739.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1046.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/900.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/105.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/691.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/geometry/182.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/74.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/420.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/1041.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/715.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/454.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/1024.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/424.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2272.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/928.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/456.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/674.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/554.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/7.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/369.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/2262.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1556.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/879.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/545.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/7.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/1712.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/651.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/1010.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/883.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2136.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1661.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/98.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/198.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/precalculus/694.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/937.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/687.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/852.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/geometry/422.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1214.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/493.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/180.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/538.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1878.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/49.json", "top1": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}]}, "all_val": [{"params": {"program": 46, "layer_path": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.5067}, "val": {"pass_at": [0.17258883248730963, 0.22842639593908629, 0.2639593908629442, 0.30456852791878175, 0.3248730964467005], "identity_acc": 0.2436548223350254, "rescue_at1": 0.03553299492385787, "harm_at1": 0.1065989847715736, "nonident_top1": 1.0}}, {"params": {"program": 23, "layer_path": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 23, 24, 25, 26, 27], "train_prior": 0.4947}, "val": {"pass_at": [0.1116751269035533, 0.22842639593908629, 0.2639593908629442, 0.30456852791878175, 0.3248730964467005], "identity_acc": 0.2436548223350254, "rescue_at1": 0.030456852791878174, "harm_at1": 0.16243654822335024, "nonident_top1": 1.0}}, {"params": {"program": 18, "layer_path": [0, 1, 2, 3, 4, 5, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 19, 20, 21, 22, 22, 23, 24, 26, 27], "train_prior": 0.4894}, "val": {"pass_at": [0.07614213197969544, 0.2182741116751269, 0.2639593908629442, 0.30456852791878175, 0.3248730964467005], "identity_acc": 0.2436548223350254, "rescue_at1": 0.025380710659898477, "harm_at1": 0.19289340101522842, "nonident_top1": 1.0}}, {"params": {"program": 49, "layer_path": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.4696}, "val": {"pass_at": [0.16243654822335024, 0.23857868020304568, 0.27918781725888325, 0.30456852791878175, 0.3248730964467005], "identity_acc": 0.2436548223350254, "rescue_at1": 0.05583756345177665, "harm_at1": 0.13705583756345177, "nonident_top1": 1.0}}, {"params": {"program": 60, "layer_path": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 14, 15, 16, 17, 18, 19, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.461}, "val": {"pass_at": [0.08121827411167512, 0.2182741116751269, 0.2639593908629442, 0.2893401015228426, 0.3248730964467005], "identity_acc": 0.2436548223350254, "rescue_at1": 0.04060913705583756, "harm_at1": 0.20304568527918782, "nonident_top1": 1.0}}, {"params": {"program": 66, "layer_path": [0, 1, 2, 3, 4, 5, 6, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 19, 20, 21, 22, 22, 23, 24, 26, 27], "train_prior": 0.4134}, "val": {"pass_at": [0.13705583756345177, 0.25380710659898476, 0.30456852791878175, 0.3248730964467005, 0.3604060913705584], "identity_acc": 0.2436548223350254, "rescue_at1": 0.05583756345177665, "harm_at1": 0.16243654822335024, "nonident_top1": 1.0}}, {"params": {"program": 41, "layer_path": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.392}, "val": {"pass_at": [0.09644670050761421, 0.20812182741116753, 0.25888324873096447, 0.2893401015228426, 0.3248730964467005], "identity_acc": 0.2436548223350254, "rescue_at1": 0.025380710659898477, "harm_at1": 0.17258883248730963, "nonident_top1": 1.0}}, {"params": {"program": 56, "layer_path": [0, 1, 2, 2, 3, 4, 5, 6, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.3872}, "val": {"pass_at": [0.09644670050761421, 0.2182741116751269, 0.2639593908629442, 0.29441624365482233, 0.3350253807106599], "identity_acc": 0.2436548223350254, "rescue_at1": 0.03553299492385787, "harm_at1": 0.18274111675126903, "nonident_top1": 1.0}}, {"params": {"program": 63, "layer_path": [0, 1, 2, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 24, 24, 25, 27], "train_prior": 0.3774}, "val": {"pass_at": [0.050761421319796954, 0.19796954314720813, 0.25380710659898476, 0.28426395939086296, 0.3197969543147208], "identity_acc": 0.2436548223350254, "rescue_at1": 0.015228426395939087, "harm_at1": 0.20812182741116753, "nonident_top1": 1.0}}, {"params": {"program": 57, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 19, 21, 22, 23, 24, 25, 26], "train_prior": 0.3723}, "val": {"pass_at": [0.06091370558375635, 0.19796954314720813, 0.24873096446700507, 0.27918781725888325, 0.3147208121827411], "identity_acc": 0.2436548223350254, "rescue_at1": 0.015228426395939087, "harm_at1": 0.19796954314720813, "nonident_top1": 1.0}}, {"params": {"program": 50, "layer_path": [0, 1, 2, 3, 4, 5, 6, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 19, 20, 21, 22, 22, 23, 24, 25, 26, 27], "train_prior": 0.3623}, "val": {"pass_at": [0.14213197969543148, 0.25380710659898476, 0.29441624365482233, 0.3147208121827411, 0.34517766497461927], "identity_acc": 0.2436548223350254, "rescue_at1": 0.030456852791878174, "harm_at1": 0.1319796954314721, "nonident_top1": 1.0}}, {"params": {"program": 17, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 18, 19, 20, 21, 22, 23, 23, 24, 25, 26, 27], "train_prior": 0.3593}, "val": {"pass_at": [0.1218274111675127, 0.2182741116751269, 0.2639593908629442, 0.29441624365482233, 0.3299492385786802], "identity_acc": 0.2436548223350254, "rescue_at1": 0.025380710659898477, "harm_at1": 0.14720812182741116, "nonident_top1": 1.0}}, {"params": {"program": 74, "layer_path": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 9, 10, 11, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 27], "train_prior": 0.3516}, "val": {"pass_at": [0.08629441624365482, 0.2182741116751269, 0.26903553299492383, 0.29949238578680204, 0.3299492385786802], "identity_acc": 0.2436548223350254, "rescue_at1": 0.04060913705583756, "harm_at1": 0.19796954314720813, "nonident_top1": 1.0}}, {"params": {"program": 15, "layer_path": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.3437}, "val": {"pass_at": [0.16243654822335024, 0.2436548223350254, 0.2893401015228426, 0.3147208121827411, 0.34517766497461927], "identity_acc": 0.2436548223350254, "rescue_at1": 0.03553299492385787, "harm_at1": 0.116751269035533, "nonident_top1": 1.0}}, {"params": {"program": 119, "layer_path": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.3343}, "val": {"pass_at": [0.18781725888324874, 0.2436548223350254, 0.28426395939086296, 0.3096446700507614, 0.3401015228426396], "identity_acc": 0.2436548223350254, "rescue_at1": 0.04568527918781726, "harm_at1": 0.10152284263959391, "nonident_top1": 1.0}}, {"params": {"program": 68, "layer_path": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 9, 10, 11, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.3339}, "val": {"pass_at": [0.09644670050761421, 0.22842639593908629, 0.27411167512690354, 0.30456852791878175, 0.3350253807106599], "identity_acc": 0.2436548223350254, "rescue_at1": 0.04568527918781726, "harm_at1": 0.19289340101522842, "nonident_top1": 1.0}}, {"params": {"program": 109, "layer_path": [0, 1, 2, 3, 4, 5, 6, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 15, 16, 17, 18, 18, 19, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.312}, "val": {"pass_at": [0.10152284263959391, 0.2233502538071066, 0.2639593908629442, 0.2893401015228426, 0.3197969543147208], "identity_acc": 0.2436548223350254, "rescue_at1": 0.015228426395939087, "harm_at1": 0.15736040609137056, "nonident_top1": 1.0}}, {"params": {"program": 62, "layer_path": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 24, 25, 26, 27], "train_prior": 0.31}, "val": {"pass_at": [0.07614213197969544, 0.2182741116751269, 0.25380710659898476, 0.27411167512690354, 0.3096446700507614], "identity_acc": 0.2436548223350254, "rescue_at1": 0.01015228426395939, "harm_at1": 0.17766497461928935, "nonident_top1": 1.0}}, {"params": {"program": 76, "layer_path": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 13, 14, 15, 15, 16, 17, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.3037}, "val": {"pass_at": [0.08121827411167512, 0.20812182741116753, 0.25888324873096447, 0.2893401015228426, 0.3299492385786802], "identity_acc": 0.2436548223350254, "rescue_at1": 0.025380710659898477, "harm_at1": 0.18781725888324874, "nonident_top1": 1.0}}, {"params": {"program": 37, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 19, 20, 21, 22, 23, 24, 25, 26], "train_prior": 0.3033}, "val": {"pass_at": [0.10152284263959391, 0.2233502538071066, 0.2639593908629442, 0.2893401015228426, 0.3299492385786802], "identity_acc": 0.2436548223350254, "rescue_at1": 0.02030456852791878, "harm_at1": 0.16243654822335024, "nonident_top1": 1.0}}]}}}
polar_split/fixed_program/llama32_3b/polar_default/seed1/diff3/fold1.json ADDED
@@ -0,0 +1 @@
 
 
1
+ {"difficulty": 3, "menu_size": 158, "prompt_style": "raw", "samples": "/app/data/router_data/theirsplit_cv/l3b_lpselraws1_diff3_f1.json", "n": {"train": 987, "val": 197, "test": 395}, "methods": {"fixed": {"winner": {"program": 49, "layer_path": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.4325}, "val": {"pass_at": [0.20812182741116753, 0.27918781725888325, 0.3147208121827411, 0.3299492385786802, 0.350253807106599], "identity_acc": 0.22842639593908629, "rescue_at1": 0.08121827411167512, "harm_at1": 0.10152284263959391, "nonident_top1": 1.0}, "test": {"pass_at": [0.18227848101265823, 0.22278481012658227, 0.26329113924050634, 0.28860759493670884, 0.3265822784810127], "identity_acc": 0.25063291139240507, "rescue_at1": 0.03291139240506329, "harm_at1": 0.10126582278481013, "nonident_top1": 1.0, "mcnemar_p": 0.0002685401188191605, "n_distinct_top1": 1, "top_nonidentity": [{"layer_path": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "n": 395}], "per_question": [{"query_id": "MATH/train/prealgebra/510.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/482.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/369.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1752.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/575.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/212.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2547.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2721.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1744.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1731.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/2828.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/algebra/105.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/1059.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/373.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/830.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/334.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/21.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/461.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/532.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2314.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1177.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/1139.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1504.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/194.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/298.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/343.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1949.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/812.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/1535.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/1001.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/geometry/446.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/2129.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/1225.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1396.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/367.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/precalculus/564.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1368.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/510.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/precalculus/73.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/1626.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/620.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/961.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/196.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1688.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1047.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1248.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/804.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/917.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1005.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/319.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1962.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/281.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/163.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1472.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/694.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/283.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1025.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/98.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/573.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/484.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1825.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1387.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/918.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1692.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1490.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/precalculus/1088.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/1854.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/457.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/1271.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/500.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/279.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/geometry/794.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/759.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/341.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/819.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/854.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/329.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/173.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/260.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/1351.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/148.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/83.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1081.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/geometry/213.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/24061.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1409.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/485.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/320.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/24917.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/775.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1319.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/931.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/291.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/684.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/precalculus/330.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/number_theory/238.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/number_theory/406.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1970.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/310.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/850.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/903.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/466.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/55.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/845.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/41.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/586.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/1382.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/140.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/precalculus/86.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/1992.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/769.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/698.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/309.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/617.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/79.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/algebra/2799.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/1188.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/407.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/1086.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/409.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/1721.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/641.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/448.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/674.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/126.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1930.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/564.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/366.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1395.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2337.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/511.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/245.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/626.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/1518.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/2034.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/249.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/227.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/1058.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/794.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2665.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/9.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/218.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1827.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/number_theory/939.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/947.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/738.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/431.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/1308.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/8.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/37.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/geometry/741.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1041.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/729.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/54.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/18.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/929.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/449.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/665.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/553.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/geometry/737.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/856.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/651.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/1234.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/2765.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/748.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/23993.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/764.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/912.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/714.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/370.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/499.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/872.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/1042.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/93.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/212.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/number_theory/1023.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/69.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/947.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/961.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/65.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/593.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/684.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1495.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/730.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2408.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/13.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2523.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1922.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/2026.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/number_theory/500.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/311.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1427.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/823.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1738.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1357.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/82.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/647.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1957.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1012.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1954.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1267.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/286.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/711.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/785.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/618.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/295.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/702.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/469.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/2079.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/precalculus/160.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/geometry/1094.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/854.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1336.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/500.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/1831.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/832.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/538.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/832.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1819.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/number_theory/528.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/483.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2280.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1348.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/381.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/number_theory/544.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/331.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/1080.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1196.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/1031.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1324.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/149.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/371.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/370.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/1471.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/25098.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/number_theory/509.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/719.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/216.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/894.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/79.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/1049.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/7.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/43.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1944.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/311.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/208.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1229.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/421.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/986.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/345.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/19.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1759.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/2249.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/number_theory/920.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/690.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/511.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1735.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/781.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/precalculus/574.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/423.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/276.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2029.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/25448.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1257.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/520.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/159.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/343.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/495.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/702.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/1244.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/77.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/219.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/1085.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/596.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/489.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/926.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/number_theory/1021.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/1054.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1682.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/975.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1121.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/24958.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/682.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/133.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/750.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/585.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/504.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/542.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/1399.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/300.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/734.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/592.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/57.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/701.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/897.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1735.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/772.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/691.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/518.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1488.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/2183.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1583.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/2000.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/201.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/567.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/2155.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/12.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/2043.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/number_theory/246.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/546.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/1006.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/637.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/705.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/geometry/225.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/2023.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1086.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/922.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/precalculus/896.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/455.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/number_theory/1198.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/359.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/222.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/814.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/945.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/898.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/96.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1858.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/62.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/1980.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/1182.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/4.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/447.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/861.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/145.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/250.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/precalculus/460.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/931.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/1832.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1863.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/358.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/893.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/2826.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/414.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1202.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/1608.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/431.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/104.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1100.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/403.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/833.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/866.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/algebra/1710.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/2127.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/837.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1359.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/323.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/92.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/1101.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2797.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/181.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/number_theory/204.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/number_theory/281.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/515.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/134.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/1093.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/2101.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/precalculus/889.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/165.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/1057.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/132.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/772.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1143.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1652.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1996.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/353.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1338.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/285.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/758.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/546.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/1075.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/520.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/182.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/algebra/1802.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/610.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/51.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/134.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/185.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/636.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/447.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/632.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/1003.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/460.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/2031.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1704.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/668.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}]}, "all_val": [{"params": {"program": 19, "layer_path": [0, 1, 2, 3, 4, 5, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 19, 20, 21, 22, 22, 23, 24, 26, 27], "train_prior": 0.5166}, "val": {"pass_at": [0.1116751269035533, 0.16751269035532995, 0.19796954314720813, 0.3299492385786802, 0.350253807106599], "identity_acc": 0.22842639593908629, "rescue_at1": 0.06091370558375635, "harm_at1": 0.17766497461928935, "nonident_top1": 1.0}}, {"params": {"program": 52, "layer_path": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 14, 15, 16, 17, 18, 19, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.4642}, "val": {"pass_at": [0.07614213197969544, 0.16751269035532995, 0.19796954314720813, 0.3299492385786802, 0.350253807106599], "identity_acc": 0.22842639593908629, "rescue_at1": 0.05583756345177665, "harm_at1": 0.20812182741116753, "nonident_top1": 1.0}}, {"params": {"program": 35, "layer_path": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.4388}, "val": {"pass_at": [0.07614213197969544, 0.16751269035532995, 0.19796954314720813, 0.3299492385786802, 0.350253807106599], "identity_acc": 0.22842639593908629, "rescue_at1": 0.04568527918781726, "harm_at1": 0.19796954314720813, "nonident_top1": 1.0}}, {"params": {"program": 49, "layer_path": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.4325}, "val": {"pass_at": [0.20812182741116753, 0.27918781725888325, 0.3147208121827411, 0.3299492385786802, 0.350253807106599], "identity_acc": 0.22842639593908629, "rescue_at1": 0.08121827411167512, "harm_at1": 0.10152284263959391, "nonident_top1": 1.0}}, {"params": {"program": 29, "layer_path": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 23, 24, 25, 26, 27], "train_prior": 0.4135}, "val": {"pass_at": [0.13705583756345177, 0.20812182741116753, 0.23857868020304568, 0.2436548223350254, 0.350253807106599], "identity_acc": 0.22842639593908629, "rescue_at1": 0.05583756345177665, "harm_at1": 0.14720812182741116, "nonident_top1": 1.0}}, {"params": {"program": 60, "layer_path": [0, 1, 2, 3, 4, 5, 6, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 19, 20, 21, 22, 22, 23, 24, 26, 27], "train_prior": 0.4132}, "val": {"pass_at": [0.1116751269035533, 0.18274111675126903, 0.233502538071066, 0.25888324873096447, 0.37055837563451777], "identity_acc": 0.22842639593908629, "rescue_at1": 0.06091370558375635, "harm_at1": 0.17766497461928935, "nonident_top1": 1.0}}, {"params": {"program": 58, "layer_path": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.3584}, "val": {"pass_at": [0.15736040609137056, 0.233502538071066, 0.26903553299492383, 0.28426395939086296, 0.3604060913705584], "identity_acc": 0.22842639593908629, "rescue_at1": 0.06598984771573604, "harm_at1": 0.13705583756345177, "nonident_top1": 1.0}}, {"params": {"program": 17, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 18, 19, 20, 21, 22, 23, 23, 24, 25, 26, 27], "train_prior": 0.3516}, "val": {"pass_at": [0.09137055837563451, 0.18781725888324874, 0.23857868020304568, 0.24873096446700507, 0.3604060913705584], "identity_acc": 0.22842639593908629, "rescue_at1": 0.02030456852791878, "harm_at1": 0.15736040609137056, "nonident_top1": 1.0}}, {"params": {"program": 14, "layer_path": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.336}, "val": {"pass_at": [0.15228426395939088, 0.233502538071066, 0.27411167512690354, 0.2893401015228426, 0.36548223350253806], "identity_acc": 0.22842639593908629, "rescue_at1": 0.04060913705583756, "harm_at1": 0.116751269035533, "nonident_top1": 1.0}}, {"params": {"program": 93, "layer_path": [0, 1, 2, 3, 4, 5, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 19, 20, 21, 22, 22, 23, 24, 24, 26, 27], "train_prior": 0.334}, "val": {"pass_at": [0.1116751269035533, 0.13705583756345177, 0.18274111675126903, 0.20812182741116753, 0.3350253807106599], "identity_acc": 0.22842639593908629, "rescue_at1": 0.050761421319796954, "harm_at1": 0.16751269035532995, "nonident_top1": 1.0}}, {"params": {"program": 97, "layer_path": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 16, 18, 19, 20, 23, 24, 25, 26, 27], "train_prior": 0.334}, "val": {"pass_at": [0.07614213197969544, 0.16751269035532995, 0.2182741116751269, 0.23857868020304568, 0.34517766497461927], "identity_acc": 0.22842639593908629, "rescue_at1": 0.03553299492385787, "harm_at1": 0.18781725888324874, "nonident_top1": 1.0}}, {"params": {"program": 112, "layer_path": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.334}, "val": {"pass_at": [0.19796954314720813, 0.24873096446700507, 0.27918781725888325, 0.29949238578680204, 0.38071065989847713], "identity_acc": 0.22842639593908629, "rescue_at1": 0.07106598984771574, "harm_at1": 0.10152284263959391, "nonident_top1": 1.0}}, {"params": {"program": 88, "layer_path": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 9, 10, 11, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 27], "train_prior": 0.3339}, "val": {"pass_at": [0.13705583756345177, 0.2233502538071066, 0.25380710659898476, 0.27918781725888325, 0.3604060913705584], "identity_acc": 0.22842639593908629, "rescue_at1": 0.05583756345177665, "harm_at1": 0.14720812182741116, "nonident_top1": 1.0}}, {"params": {"program": 50, "layer_path": [0, 1, 2, 3, 4, 5, 6, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 19, 20, 21, 22, 22, 23, 24, 25, 26, 27], "train_prior": 0.3336}, "val": {"pass_at": [0.13705583756345177, 0.2131979695431472, 0.25380710659898476, 0.27918781725888325, 0.38578680203045684], "identity_acc": 0.22842639593908629, "rescue_at1": 0.06598984771573604, "harm_at1": 0.15736040609137056, "nonident_top1": 1.0}}, {"params": {"program": 68, "layer_path": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 24, 25, 26, 27], "train_prior": 0.3198}, "val": {"pass_at": [0.10152284263959391, 0.18781725888324874, 0.22842639593908629, 0.2436548223350254, 0.34517766497461927], "identity_acc": 0.22842639593908629, "rescue_at1": 0.030456852791878174, "harm_at1": 0.15736040609137056, "nonident_top1": 1.0}}, {"params": {"program": 77, "layer_path": [0, 1, 2, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 24, 24, 25, 27], "train_prior": 0.3179}, "val": {"pass_at": [0.06091370558375635, 0.16243654822335024, 0.2131979695431472, 0.23857868020304568, 0.34517766497461927], "identity_acc": 0.22842639593908629, "rescue_at1": 0.025380710659898477, "harm_at1": 0.19289340101522842, "nonident_top1": 1.0}}, {"params": {"program": 104, "layer_path": [0, 1, 2, 3, 4, 5, 6, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 15, 16, 17, 18, 18, 19, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.3117}, "val": {"pass_at": [0.10152284263959391, 0.18781725888324874, 0.233502538071066, 0.24873096446700507, 0.37055837563451777], "identity_acc": 0.22842639593908629, "rescue_at1": 0.06091370558375635, "harm_at1": 0.18781725888324874, "nonident_top1": 1.0}}, {"params": {"program": 111, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 9, 9, 10, 11, 12, 13, 14, 16, 17, 18, 19, 20, 24, 25, 26, 27], "train_prior": 0.3117}, "val": {"pass_at": [0.02030456852791878, 0.12690355329949238, 0.17766497461928935, 0.20812182741116753, 0.3401015228426396], "identity_acc": 0.22842639593908629, "rescue_at1": 0.015228426395939087, "harm_at1": 0.2233502538071066, "nonident_top1": 1.0}}, {"params": {"program": 62, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 19, 21, 22, 23, 24, 25, 26], "train_prior": 0.307}, "val": {"pass_at": [0.05583756345177665, 0.14720812182741116, 0.20304568527918782, 0.233502538071066, 0.34517766497461927], "identity_acc": 0.22842639593908629, "rescue_at1": 0.02030456852791878, "harm_at1": 0.19289340101522842, "nonident_top1": 1.0}}, {"params": {"program": 75, "layer_path": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 9, 10, 11, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.3035}, "val": {"pass_at": [0.1218274111675127, 0.2182741116751269, 0.25888324873096447, 0.2893401015228426, 0.3756345177664975], "identity_acc": 0.22842639593908629, "rescue_at1": 0.050761421319796954, "harm_at1": 0.15736040609137056, "nonident_top1": 1.0}}]}}}
polar_split/fixed_program/llama32_3b/polar_default/seed1/diff3/fold2.json ADDED
@@ -0,0 +1 @@
 
 
1
+ {"difficulty": 3, "menu_size": 152, "prompt_style": "raw", "samples": "/app/data/router_data/theirsplit_cv/l3b_lpselraws1_diff3_f2.json", "n": {"train": 988, "val": 197, "test": 394}, "methods": {"fixed": {"winner": {"program": 58, "layer_path": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.376}, "val": {"pass_at": [0.20812182741116753, 0.27918781725888325, 0.3248730964467005, 0.3299492385786802, 0.350253807106599], "identity_acc": 0.22842639593908629, "rescue_at1": 0.08121827411167512, "harm_at1": 0.10152284263959391, "nonident_top1": 1.0}, "test": {"pass_at": [0.19035532994923857, 0.23857868020304568, 0.2817258883248731, 0.30456852791878175, 0.32741116751269034], "identity_acc": 0.2512690355329949, "rescue_at1": 0.04568527918781726, "harm_at1": 0.1065989847715736, "nonident_top1": 1.0, "mcnemar_p": 0.002670436282807066, "n_distinct_top1": 1, "top_nonidentity": [{"layer_path": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "n": 394}], "per_question": [{"query_id": "MATH/train/algebra/1612.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/2088.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/731.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/52.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/2147.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/2163.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/906.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/736.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/46.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/786.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/122.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/849.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/88.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/330.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/863.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/736.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/422.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1381.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2115.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1200.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/number_theory/352.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/20.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1775.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1614.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1734.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/2386.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/532.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/precalculus/164.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/502.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/number_theory/1086.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2460.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/203.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/620.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/1489.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/214.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/1039.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/727.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/333.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/136.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/929.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/2148.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/892.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/1057.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/773.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/1269.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/832.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/837.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/776.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/485.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/845.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/geometry/392.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/474.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/916.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/241.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/129.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/463.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/20.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/258.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/905.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/132.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/306.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/1080.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/algebra/1080.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/number_theory/588.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/602.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/1305.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1018.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/253.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/941.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/454.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/381.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/1700.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/2648.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2709.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/822.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/587.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2529.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/392.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/precalculus/570.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2089.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/259.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2125.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/545.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/335.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/954.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1711.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/957.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/420.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2371.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/665.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/688.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/153.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/536.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/100.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/610.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/algebra/700.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/878.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/24771.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/656.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1965.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2808.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/precalculus/771.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/754.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/539.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1797.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/468.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1584.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/precalculus/852.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/382.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2599.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/378.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/288.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1221.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/924.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/number_theory/1214.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1038.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1667.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/19.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/152.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1103.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/925.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/2462.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/472.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2474.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2053.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/974.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/445.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/67.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/897.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/2150.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/precalculus/1182.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/267.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1045.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/232.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/777.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/761.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/748.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1235.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1435.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/number_theory/25063.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/number_theory/245.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/813.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/604.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/algebra/2769.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1527.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/663.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/414.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/76.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/23.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/248.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/119.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/335.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/420.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1920.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/571.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1802.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2121.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/1828.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/804.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/168.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/404.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1661.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1716.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/856.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/740.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/268.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/222.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/571.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/308.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/2087.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1799.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/538.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/820.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/256.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/1913.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/1302.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/81.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1872.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/geometry/700.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/557.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/659.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/627.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/491.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/362.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/91.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/24973.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/462.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/275.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/geometry/252.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1601.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/726.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/953.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/635.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/1267.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2786.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/1127.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/1223.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/1294.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/629.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1300.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/504.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/1265.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/precalculus/614.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/150.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/420.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/471.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2402.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/800.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/933.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/40.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/1063.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1888.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1218.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2401.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1905.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/390.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1830.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/1871.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/937.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/1156.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1165.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/1014.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/772.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1647.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/802.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/849.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/2008.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/1030.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/681.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/1314.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/908.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/332.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1912.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/399.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1316.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1589.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/precalculus/115.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1868.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/25249.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/1135.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/712.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/1045.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/1246.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/24858.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/835.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/496.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1432.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/681.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/number_theory/25.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/926.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/869.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/166.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/17.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1822.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/84.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/526.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/2165.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1334.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/53.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2174.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/1159.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/384.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/419.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1358.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/749.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1754.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/449.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/280.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/638.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2774.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1549.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/1049.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1760.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1765.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/213.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/geometry/521.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/91.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/608.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1184.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/1069.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/826.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/205.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/142.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/895.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/312.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/124.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/562.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/599.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/104.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/227.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/624.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/225.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/129.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/2114.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/308.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2346.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/1446.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/142.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/487.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/175.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/192.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1609.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/73.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/479.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/625.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/98.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/number_theory/979.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1188.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/485.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/1866.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/237.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/448.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/precalculus/592.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/756.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/number_theory/285.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/precalculus/1020.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/1979.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/722.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/geometry/376.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/172.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/566.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/842.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/768.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/396.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/1499.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/809.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/770.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1160.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1076.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/precalculus/1025.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/654.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/number_theory/889.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/1247.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/1242.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/811.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/1204.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/690.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/945.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/2100.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/466.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/1089.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/841.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/1610.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/number_theory/705.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/1469.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1708.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/699.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1087.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2485.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/precalculus/1026.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/336.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/944.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/235.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1926.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/1979.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/123.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/497.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/15.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/647.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/400.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/134.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/336.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1478.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/725.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/457.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/413.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1237.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/895.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/372.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1547.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2224.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/316.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/344.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/number_theory/1091.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/606.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/321.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/325.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/number_theory/842.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1911.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/2060.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/1061.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/36.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/769.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/818.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/1086.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/2258.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1966.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2299.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/1011.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/number_theory/926.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/699.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/553.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/1141.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/geometry/518.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}]}, "all_val": [{"params": {"program": 18, "layer_path": [0, 1, 2, 3, 4, 5, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 19, 20, 21, 22, 22, 23, 24, 26, 27], "train_prior": 0.5484}, "val": {"pass_at": [0.1116751269035533, 0.20812182741116753, 0.2182741116751269, 0.2436548223350254, 0.28426395939086296], "identity_acc": 0.22842639593908629, "rescue_at1": 0.06091370558375635, "harm_at1": 0.17766497461928935, "nonident_top1": 1.0}}, {"params": {"program": 27, "layer_path": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 23, 24, 25, 26, 27], "train_prior": 0.4819}, "val": {"pass_at": [0.13705583756345177, 0.20812182741116753, 0.2182741116751269, 0.2436548223350254, 0.28426395939086296], "identity_acc": 0.22842639593908629, "rescue_at1": 0.05583756345177665, "harm_at1": 0.14720812182741116, "nonident_top1": 1.0}}, {"params": {"program": 39, "layer_path": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.4185}, "val": {"pass_at": [0.07614213197969544, 0.16751269035532995, 0.2182741116751269, 0.2436548223350254, 0.28426395939086296], "identity_acc": 0.22842639593908629, "rescue_at1": 0.04568527918781726, "harm_at1": 0.19796954314720813, "nonident_top1": 1.0}}, {"params": {"program": 62, "layer_path": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 14, 15, 16, 17, 18, 19, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.3825}, "val": {"pass_at": [0.07614213197969544, 0.16751269035532995, 0.23857868020304568, 0.2436548223350254, 0.28426395939086296], "identity_acc": 0.22842639593908629, "rescue_at1": 0.05583756345177665, "harm_at1": 0.20812182741116753, "nonident_top1": 1.0}}, {"params": {"program": 15, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 18, 19, 20, 21, 22, 23, 23, 24, 25, 26, 27], "train_prior": 0.3789}, "val": {"pass_at": [0.09137055837563451, 0.18781725888324874, 0.24873096446700507, 0.25888324873096447, 0.28426395939086296], "identity_acc": 0.22842639593908629, "rescue_at1": 0.02030456852791878, "harm_at1": 0.15736040609137056, "nonident_top1": 1.0}}, {"params": {"program": 58, "layer_path": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.376}, "val": {"pass_at": [0.20812182741116753, 0.27918781725888325, 0.3248730964467005, 0.3299492385786802, 0.350253807106599], "identity_acc": 0.22842639593908629, "rescue_at1": 0.08121827411167512, "harm_at1": 0.10152284263959391, "nonident_top1": 1.0}}, {"params": {"program": 59, "layer_path": [0, 1, 2, 2, 3, 4, 5, 6, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.376}, "val": {"pass_at": [0.09644670050761421, 0.17258883248730963, 0.25380710659898476, 0.25888324873096447, 0.28426395939086296], "identity_acc": 0.22842639593908629, "rescue_at1": 0.05583756345177665, "harm_at1": 0.18781725888324874, "nonident_top1": 1.0}}, {"params": {"program": 53, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 19, 21, 22, 23, 24, 25, 26], "train_prior": 0.3711}, "val": {"pass_at": [0.05583756345177665, 0.14720812182741116, 0.23857868020304568, 0.24873096446700507, 0.27411167512690354], "identity_acc": 0.22842639593908629, "rescue_at1": 0.02030456852791878, "harm_at1": 0.19289340101522842, "nonident_top1": 1.0}}, {"params": {"program": 73, "layer_path": [0, 1, 2, 3, 4, 5, 6, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 19, 20, 21, 22, 22, 23, 24, 26, 27], "train_prior": 0.3694}, "val": {"pass_at": [0.1116751269035533, 0.18274111675126903, 0.2639593908629442, 0.27411167512690354, 0.29441624365482233], "identity_acc": 0.22842639593908629, "rescue_at1": 0.06091370558375635, "harm_at1": 0.17766497461928935, "nonident_top1": 1.0}}, {"params": {"program": 35, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 19, 20, 21, 22, 23, 24, 25, 26], "train_prior": 0.3398}, "val": {"pass_at": [0.1116751269035533, 0.18781725888324874, 0.25888324873096447, 0.26903553299492383, 0.28426395939086296], "identity_acc": 0.22842639593908629, "rescue_at1": 0.04568527918781726, "harm_at1": 0.16243654822335024, "nonident_top1": 1.0}}, {"params": {"program": 55, "layer_path": [0, 1, 2, 3, 4, 5, 6, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 19, 20, 21, 22, 22, 23, 24, 25, 26, 27], "train_prior": 0.3327}, "val": {"pass_at": [0.13705583756345177, 0.2131979695431472, 0.28426395939086296, 0.29441624365482233, 0.3096446700507614], "identity_acc": 0.22842639593908629, "rescue_at1": 0.06598984771573604, "harm_at1": 0.15736040609137056, "nonident_top1": 1.0}}, {"params": {"program": 64, "layer_path": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.3326}, "val": {"pass_at": [0.15736040609137056, 0.233502538071066, 0.28426395939086296, 0.2893401015228426, 0.3147208121827411], "identity_acc": 0.22842639593908629, "rescue_at1": 0.06598984771573604, "harm_at1": 0.13705583756345177, "nonident_top1": 1.0}}, {"params": {"program": 76, "layer_path": [0, 1, 2, 3, 4, 5, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 19, 20, 21, 22, 23, 24, 25], "train_prior": 0.3323}, "val": {"pass_at": [0.07614213197969544, 0.15736040609137056, 0.23857868020304568, 0.2436548223350254, 0.2639593908629442], "identity_acc": 0.22842639593908629, "rescue_at1": 0.04568527918781726, "harm_at1": 0.19796954314720813, "nonident_top1": 1.0}}, {"params": {"program": 60, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 19, 20, 21, 22, 23, 24, 26], "train_prior": 0.3203}, "val": {"pass_at": [0.02030456852791878, 0.12690355329949238, 0.2233502538071066, 0.233502538071066, 0.24873096446700507], "identity_acc": 0.22842639593908629, "rescue_at1": 0.01015228426395939, "harm_at1": 0.2182741116751269, "nonident_top1": 1.0}}, {"params": {"program": 80, "layer_path": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 9, 10, 11, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.3138}, "val": {"pass_at": [0.1218274111675127, 0.2182741116751269, 0.28426395939086296, 0.29441624365482233, 0.3147208121827411], "identity_acc": 0.22842639593908629, "rescue_at1": 0.050761421319796954, "harm_at1": 0.15736040609137056, "nonident_top1": 1.0}}, {"params": {"program": 92, "layer_path": [0, 1, 2, 3, 4, 5, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 19, 20, 21, 22, 22, 23, 24, 24, 26, 27], "train_prior": 0.3099}, "val": {"pass_at": [0.1116751269035533, 0.13705583756345177, 0.2233502538071066, 0.22842639593908629, 0.24873096446700507], "identity_acc": 0.22842639593908629, "rescue_at1": 0.050761421319796954, "harm_at1": 0.16751269035532995, "nonident_top1": 1.0}}, {"params": {"program": 17, "layer_path": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.3067}, "val": {"pass_at": [0.15228426395939088, 0.233502538071066, 0.27411167512690354, 0.28426395939086296, 0.3096446700507614], "identity_acc": 0.22842639593908629, "rescue_at1": 0.04060913705583756, "harm_at1": 0.116751269035533, "nonident_top1": 1.0}}, {"params": {"program": 61, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 19, 20, 21, 22, 23, 24, 25], "train_prior": 0.306}, "val": {"pass_at": [0.116751269035533, 0.18781725888324874, 0.27411167512690354, 0.28426395939086296, 0.30456852791878175], "identity_acc": 0.22842639593908629, "rescue_at1": 0.050761421319796954, "harm_at1": 0.16243654822335024, "nonident_top1": 1.0}}, {"params": {"program": 98, "layer_path": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 18, 19, 20, 23, 24, 25, 26, 27], "train_prior": 0.2906}, "val": {"pass_at": [0.07614213197969544, 0.16243654822335024, 0.22842639593908629, 0.233502538071066, 0.25380710659898476], "identity_acc": 0.22842639593908629, "rescue_at1": 0.030456852791878174, "harm_at1": 0.18274111675126903, "nonident_top1": 1.0}}, {"params": {"program": 68, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 18, 19, 19, 20, 21, 22, 23, 24, 25, 26], "train_prior": 0.2891}, "val": {"pass_at": [0.10152284263959391, 0.19289340101522842, 0.25888324873096447, 0.26903553299492383, 0.28426395939086296], "identity_acc": 0.22842639593908629, "rescue_at1": 0.050761421319796954, "harm_at1": 0.17766497461928935, "nonident_top1": 1.0}}]}}}
polar_split/fixed_program/llama32_3b/polar_default/seed1/diff3/fold3.json ADDED
@@ -0,0 +1 @@
 
 
1
+ {"difficulty": 3, "menu_size": 150, "prompt_style": "raw", "samples": "/app/data/router_data/theirsplit_cv/l3b_lpselraws1_diff3_f3.json", "n": {"train": 987, "val": 197, "test": 395}, "methods": {"fixed": {"winner": {"program": 44, "layer_path": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.4904}, "val": {"pass_at": [0.20812182741116753, 0.27918781725888325, 0.3248730964467005, 0.34517766497461927, 0.350253807106599], "identity_acc": 0.22842639593908629, "rescue_at1": 0.08121827411167512, "harm_at1": 0.10152284263959391, "nonident_top1": 1.0}, "test": {"pass_at": [0.18227848101265823, 0.20253164556962025, 0.25569620253164554, 0.2911392405063291, 0.30886075949367087], "identity_acc": 0.2481012658227848, "rescue_at1": 0.05063291139240506, "harm_at1": 0.11645569620253164, "nonident_top1": 1.0, "mcnemar_p": 0.0018582303075658085, "n_distinct_top1": 1, "top_nonidentity": [{"layer_path": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "n": 395}], "per_question": [{"query_id": "MATH/train/algebra/1510.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/353.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/124.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/1931.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/199.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/983.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/120.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1113.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/97.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/1029.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/561.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2429.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/25020.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/233.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/457.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/920.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/2062.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/201.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/2037.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/number_theory/371.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/856.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/601.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1676.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/434.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/1012.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/207.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/34.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2819.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/254.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1913.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/1465.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/geometry/30.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/precalculus/909.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/228.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/673.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/101.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1567.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1501.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/1119.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/640.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/1539.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1118.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/604.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/precalculus/481.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/527.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/algebra/363.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1073.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/486.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/1150.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/1687.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/239.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/848.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/number_theory/599.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1637.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/448.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/701.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/301.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/51.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/391.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1535.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/geometry/715.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/862.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/881.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/224.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1565.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1595.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1211.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/geometry/193.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/549.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2562.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1248.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/number_theory/354.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/3.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/836.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/911.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/655.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/geometry/1110.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/895.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/2172.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1931.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/990.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2441.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/896.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/geometry/206.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/geometry/520.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/1099.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1826.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2652.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/987.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2419.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/610.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/434.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1028.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1159.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/310.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/103.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/767.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/263.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/2041.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1162.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2821.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2206.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/precalculus/660.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/964.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/236.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1694.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/762.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/689.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/884.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/1189.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/precalculus/210.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1000.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1676.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/9.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/1080.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/number_theory/424.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/573.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/584.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/952.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1913.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/57.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/693.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1653.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/268.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/precalculus/559.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/205.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1421.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/788.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/977.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1718.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/533.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/357.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/411.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/643.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/617.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1075.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/1011.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1546.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1012.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2170.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/231.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1851.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/841.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2830.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/204.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/326.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1473.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1441.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/378.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/188.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1333.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/1034.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/646.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/316.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/215.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/863.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1649.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1089.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/2129.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/696.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1120.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/899.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/544.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/682.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/565.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1853.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/1221.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/499.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/683.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/number_theory/213.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/number_theory/983.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/2154.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/944.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/1148.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/790.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/504.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/157.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/261.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/865.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/462.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1188.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/66.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/588.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1821.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/821.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/727.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/995.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/918.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1434.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/256.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/112.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/920.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/1040.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/361.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1532.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/849.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/160.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/872.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/877.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/454.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1314.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/5.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/477.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/2054.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/379.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2027.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/precalculus/286.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2444.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/2033.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/34.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/684.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1301.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/157.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1887.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/257.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/1015.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2746.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/929.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/1037.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/130.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1701.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/1504.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/259.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1601.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/367.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/precalculus/193.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2660.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1228.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1726.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/algebra/965.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/331.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2754.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1334.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/788.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/86.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/166.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/number_theory/535.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/327.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1138.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/1644.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/363.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/456.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/772.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/674.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/346.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/447.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/742.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1621.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/376.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2609.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/1028.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1194.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/693.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/algebra/984.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1088.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/276.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1420.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/number_theory/1075.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2569.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/296.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/841.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/218.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1414.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/1083.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/411.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/614.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/number_theory/1163.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/626.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/125.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/1313.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/277.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/1470.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/835.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/322.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/591.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/361.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/146.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/number_theory/387.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/precalculus/859.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1896.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/883.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/632.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/108.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/521.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/1521.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/5.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2820.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/824.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/233.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2005.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/993.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/882.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/553.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/1912.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1433.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/95.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/974.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/912.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/322.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/67.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1223.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/74.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/987.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/1565.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2369.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/569.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/288.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/143.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/number_theory/715.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/167.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/183.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/624.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1046.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/719.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/2761.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/1224.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/geometry/328.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/762.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/513.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/25040.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/111.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/210.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/geometry/791.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2162.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/2364.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/603.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/667.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/404.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/629.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/382.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/948.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/99.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/1903.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/precalculus/1159.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/864.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/435.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/70.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/1059.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/1180.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/191.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1005.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/22.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/703.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/135.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/198.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/269.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2396.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1150.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/725.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1901.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/888.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/number_theory/36.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/534.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/precalculus/922.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/789.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/198.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/409.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/1888.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/geometry/732.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/436.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/1341.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2442.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/88.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/950.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/97.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/89.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/2093.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/precalculus/421.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2428.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/672.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/46.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1635.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/1206.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/513.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/800.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1981.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/24014.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/780.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/374.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/22.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/370.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/17.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/360.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1367.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/1429.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/number_theory/1008.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/529.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/2083.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/number_theory/107.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/number_theory/248.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/879.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1556.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/290.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/precalculus/823.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1796.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}]}, "all_val": [{"params": {"program": 15, "layer_path": [0, 1, 2, 3, 4, 5, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 19, 20, 21, 22, 22, 23, 24, 26, 27], "train_prior": 0.5409}, "val": {"pass_at": [0.1116751269035533, 0.27918781725888325, 0.3248730964467005, 0.34517766497461927, 0.350253807106599], "identity_acc": 0.22842639593908629, "rescue_at1": 0.06091370558375635, "harm_at1": 0.17766497461928935, "nonident_top1": 1.0}}, {"params": {"program": 44, "layer_path": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.4904}, "val": {"pass_at": [0.20812182741116753, 0.27918781725888325, 0.3248730964467005, 0.34517766497461927, 0.350253807106599], "identity_acc": 0.22842639593908629, "rescue_at1": 0.08121827411167512, "harm_at1": 0.10152284263959391, "nonident_top1": 1.0}}, {"params": {"program": 23, "layer_path": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 23, 24, 25, 26, 27], "train_prior": 0.4855}, "val": {"pass_at": [0.13705583756345177, 0.20812182741116753, 0.3248730964467005, 0.34517766497461927, 0.350253807106599], "identity_acc": 0.22842639593908629, "rescue_at1": 0.05583756345177665, "harm_at1": 0.14720812182741116, "nonident_top1": 1.0}}, {"params": {"program": 50, "layer_path": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 14, 15, 16, 17, 18, 19, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.4693}, "val": {"pass_at": [0.07614213197969544, 0.16751269035532995, 0.3147208121827411, 0.34517766497461927, 0.350253807106599], "identity_acc": 0.22842639593908629, "rescue_at1": 0.05583756345177665, "harm_at1": 0.20812182741116753, "nonident_top1": 1.0}}, {"params": {"program": 32, "layer_path": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.4385}, "val": {"pass_at": [0.07614213197969544, 0.16751269035532995, 0.30456852791878175, 0.3299492385786802, 0.350253807106599], "identity_acc": 0.22842639593908629, "rescue_at1": 0.04568527918781726, "harm_at1": 0.19796954314720813, "nonident_top1": 1.0}}, {"params": {"program": 28, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 19, 20, 21, 22, 23, 24, 25, 26], "train_prior": 0.4346}, "val": {"pass_at": [0.1116751269035533, 0.18781725888324874, 0.3197969543147208, 0.3553299492385787, 0.37055837563451777], "identity_acc": 0.22842639593908629, "rescue_at1": 0.04568527918781726, "harm_at1": 0.16243654822335024, "nonident_top1": 1.0}}, {"params": {"program": 68, "layer_path": [0, 1, 2, 3, 4, 5, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 19, 20, 21, 22, 23, 24, 25], "train_prior": 0.4069}, "val": {"pass_at": [0.07614213197969544, 0.15736040609137056, 0.30456852791878175, 0.34517766497461927, 0.3604060913705584], "identity_acc": 0.22842639593908629, "rescue_at1": 0.04568527918781726, "harm_at1": 0.19796954314720813, "nonident_top1": 1.0}}, {"params": {"program": 76, "layer_path": [0, 1, 2, 3, 4, 5, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 19, 20, 21, 22, 22, 23, 24, 24, 26, 27], "train_prior": 0.396}, "val": {"pass_at": [0.1116751269035533, 0.13705583756345177, 0.28426395939086296, 0.3299492385786802, 0.350253807106599], "identity_acc": 0.22842639593908629, "rescue_at1": 0.050761421319796954, "harm_at1": 0.16751269035532995, "nonident_top1": 1.0}}, {"params": {"program": 80, "layer_path": [0, 1, 2, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 14, 14, 15, 16, 17, 18, 19, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.396}, "val": {"pass_at": [0.09137055837563451, 0.17258883248730963, 0.3096446700507614, 0.34517766497461927, 0.3553299492385787], "identity_acc": 0.22842639593908629, "rescue_at1": 0.06598984771573604, "harm_at1": 0.20304568527918782, "nonident_top1": 1.0}}, {"params": {"program": 73, "layer_path": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 9, 10, 11, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 27], "train_prior": 0.3866}, "val": {"pass_at": [0.13705583756345177, 0.2233502538071066, 0.3248730964467005, 0.3553299492385787, 0.37055837563451777], "identity_acc": 0.22842639593908629, "rescue_at1": 0.05583756345177665, "harm_at1": 0.14720812182741116, "nonident_top1": 1.0}}, {"params": {"program": 54, "layer_path": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.3833}, "val": {"pass_at": [0.15736040609137056, 0.233502538071066, 0.3197969543147208, 0.3553299492385787, 0.3756345177664975], "identity_acc": 0.22842639593908629, "rescue_at1": 0.06598984771573604, "harm_at1": 0.13705583756345177, "nonident_top1": 1.0}}, {"params": {"program": 48, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 19, 21, 22, 23, 24, 25, 26], "train_prior": 0.3784}, "val": {"pass_at": [0.05583756345177665, 0.14720812182741116, 0.29441624365482233, 0.3401015228426396, 0.3604060913705584], "identity_acc": 0.22842639593908629, "rescue_at1": 0.02030456852791878, "harm_at1": 0.19289340101522842, "nonident_top1": 1.0}}, {"params": {"program": 56, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 18, 19, 19, 20, 21, 22, 23, 24, 25, 26], "train_prior": 0.3743}, "val": {"pass_at": [0.10152284263959391, 0.19289340101522842, 0.3248730964467005, 0.3604060913705584, 0.3756345177664975], "identity_acc": 0.22842639593908629, "rescue_at1": 0.050761421319796954, "harm_at1": 0.17766497461928935, "nonident_top1": 1.0}}, {"params": {"program": 64, "layer_path": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 9, 10, 11, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.3638}, "val": {"pass_at": [0.1218274111675127, 0.2182741116751269, 0.3299492385786802, 0.37055837563451777, 0.38578680203045684], "identity_acc": 0.22842639593908629, "rescue_at1": 0.050761421319796954, "harm_at1": 0.15736040609137056, "nonident_top1": 1.0}}, {"params": {"program": 13, "layer_path": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.3555}, "val": {"pass_at": [0.15228426395939088, 0.233502538071066, 0.3299492385786802, 0.3553299492385787, 0.3756345177664975], "identity_acc": 0.22842639593908629, "rescue_at1": 0.04060913705583756, "harm_at1": 0.116751269035533, "nonident_top1": 1.0}}, {"params": {"program": 66, "layer_path": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 24, 25, 26, 27], "train_prior": 0.3493}, "val": {"pass_at": [0.10152284263959391, 0.18781725888324874, 0.3096446700507614, 0.3299492385786802, 0.350253807106599], "identity_acc": 0.22842639593908629, "rescue_at1": 0.030456852791878174, "harm_at1": 0.15736040609137056, "nonident_top1": 1.0}}, {"params": {"program": 55, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 19, 20, 21, 22, 23, 24, 25], "train_prior": 0.3476}, "val": {"pass_at": [0.116751269035533, 0.18781725888324874, 0.3350253807106599, 0.37055837563451777, 0.39086294416243655], "identity_acc": 0.22842639593908629, "rescue_at1": 0.050761421319796954, "harm_at1": 0.16243654822335024, "nonident_top1": 1.0}}, {"params": {"program": 17, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 18, 19, 20, 21, 22, 23, 23, 24, 25, 26, 27], "train_prior": 0.3401}, "val": {"pass_at": [0.09137055837563451, 0.18781725888324874, 0.3197969543147208, 0.350253807106599, 0.37055837563451777], "identity_acc": 0.22842639593908629, "rescue_at1": 0.02030456852791878, "harm_at1": 0.15736040609137056, "nonident_top1": 1.0}}, {"params": {"program": 95, "layer_path": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.338}, "val": {"pass_at": [0.10152284263959391, 0.19289340101522842, 0.3299492385786802, 0.3604060913705584, 0.3756345177664975], "identity_acc": 0.22842639593908629, "rescue_at1": 0.07106598984771574, "harm_at1": 0.19796954314720813, "nonident_top1": 1.0}}, {"params": {"program": 107, "layer_path": [0, 1, 2, 2, 3, 4, 5, 6, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 16, 17, 18, 19, 19, 20, 21, 22, 23, 24, 24, 25, 26, 27], "train_prior": 0.338}, "val": {"pass_at": [0.04060913705583756, 0.1319796954314721, 0.29441624365482233, 0.3401015228426396, 0.3604060913705584], "identity_acc": 0.22842639593908629, "rescue_at1": 0.015228426395939087, "harm_at1": 0.20304568527918782, "nonident_top1": 1.0}}]}}}
polar_split/fixed_program/llama32_3b/polar_default/seed1/diff4/fold0.json ADDED
@@ -0,0 +1 @@
 
 
1
+ {"difficulty": 4, "menu_size": 130, "prompt_style": "raw", "samples": "/app/data/router_data/theirsplit_cv/l3b_lpselraws1_diff4_f0.json", "n": {"train": 961, "val": 192, "test": 384}, "methods": {"fixed": {"winner": {"program": 48, "layer_path": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.4426}, "val": {"pass_at": [0.1875, 0.20833333333333334, 0.22916666666666666, 0.3177083333333333, 0.34375], "identity_acc": 0.21875, "rescue_at1": 0.06770833333333333, "harm_at1": 0.09895833333333333, "nonident_top1": 1.0}, "test": {"pass_at": [0.16927083333333334, 0.21354166666666666, 0.24739583333333334, 0.2838541666666667, 0.3020833333333333], "identity_acc": 0.23177083333333334, "rescue_at1": 0.046875, "harm_at1": 0.109375, "nonident_top1": 1.0, "mcnemar_p": 0.002670436282807066, "n_distinct_top1": 1, "top_nonidentity": [{"layer_path": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "n": 384}], "per_question": [{"query_id": "MATH/train/intermediate_algebra/1710.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1545.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1096.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/2081.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2107.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/32.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/560.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1875.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1232.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/557.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/489.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/precalculus/1170.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/923.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/432.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/727.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/1012.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/1095.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/802.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1100.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2296.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/755.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1536.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/1272.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/559.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/1623.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2757.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/560.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/683.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/426.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/295.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/490.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1574.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/geometry/648.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/920.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/2813.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/550.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/408.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/2003.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1319.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/664.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/959.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/971.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/141.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/927.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1657.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/733.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/124.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1660.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1087.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/992.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/117.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/163.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/276.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/464.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/1164.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/267.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/1896.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2650.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/196.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/geometry/1063.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/85.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/264.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/geometry/946.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/1015.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1731.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/774.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/precalculus/239.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1307.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/691.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/985.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/1131.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1951.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1613.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/655.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/1018.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2223.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/939.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/622.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/1947.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/2008.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/110.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/205.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/1635.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1259.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/245.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1563.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/22.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/573.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/574.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/284.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/675.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1614.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1356.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1675.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/25179.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/337.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/1216.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/122.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/1271.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/2594.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/568.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/952.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1277.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/628.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/1386.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1615.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1156.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/929.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/2043.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1134.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1783.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/860.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/2025.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/837.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/421.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/48.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/723.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/305.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/261.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/72.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1320.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/algebra/1321.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1581.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/358.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1648.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/2806.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/2108.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/precalculus/832.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/78.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1120.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/200.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/312.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1012.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/439.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1425.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1662.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/154.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/932.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1637.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/404.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/1111.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1006.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/1073.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/720.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/258.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/281.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/897.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/242.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/1030.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1242.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/1696.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/523.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/2076.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/183.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/303.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/819.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/geometry/1034.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1473.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1728.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/613.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1105.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/728.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/644.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/395.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/103.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1056.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/2598.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1198.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/722.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/415.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/293.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1795.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/467.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/1039.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/393.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2090.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/885.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/algebra/24993.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/geometry/481.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/731.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/557.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/198.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/number_theory/1245.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/666.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2368.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1537.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/837.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/376.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/precalculus/581.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/352.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/446.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/673.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/235.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1209.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/58.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1610.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1783.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1623.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/algebra/936.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1618.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/372.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/919.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/geometry/89.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/323.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/precalculus/280.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/870.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/775.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/number_theory/857.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/2445.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/375.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/number_theory/1209.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/10.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/744.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/23953.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2286.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/2065.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2473.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/449.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/484.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/120.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1212.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/84.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1055.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/351.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/1589.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/960.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/2615.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/675.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2313.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/321.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/2168.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/942.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/962.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/1413.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/1059.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/geometry/646.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1995.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/94.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/633.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/precalculus/759.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2018.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/879.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2516.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/379.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/54.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/283.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1682.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2567.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/2793.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/728.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/862.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/278.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/649.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/precalculus/167.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1557.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/geometry/617.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/753.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1307.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/441.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/918.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/637.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/415.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1341.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/1130.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1691.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/128.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/1091.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/2242.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1917.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/9999.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/1502.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2526.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/1015.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/557.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/2816.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/number_theory/1268.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/number_theory/1047.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/364.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1431.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1670.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/785.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1768.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/763.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1497.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/precalculus/863.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/1971.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2627.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/2099.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/1188.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/number_theory/630.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/1069.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/214.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/416.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/613.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/373.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/604.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1929.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1468.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1633.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/2087.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/geometry/36.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/158.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/1177.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/845.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1038.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/431.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/849.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/452.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/2513.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1737.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/672.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/24685.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/900.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/39.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/621.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/1983.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/330.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/396.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1132.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1002.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/1006.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/precalculus/68.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/1075.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/2613.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1085.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/number_theory/1293.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/393.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/470.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1224.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/409.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/360.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1960.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/2079.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/1087.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/1131.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/225.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/43.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/1237.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/654.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/precalculus/719.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/585.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/2244.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/73.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/524.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/number_theory/540.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1722.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1976.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/precalculus/728.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/2161.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/2188.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1666.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/299.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1659.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1237.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1938.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/369.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/653.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/592.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/25852.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1193.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/546.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/447.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1658.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2839.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/501.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/606.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2166.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/algebra/2522.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/geometry/63.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/599.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/1060.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2752.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1091.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1633.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/geometry/1123.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/1273.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/822.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/915.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/391.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/503.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/445.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/216.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/1090.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/precalculus/225.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}]}, "all_val": [{"params": {"program": 53, "layer_path": [0, 1, 2, 2, 3, 4, 5, 6, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.4538}, "val": {"pass_at": [0.078125, 0.13020833333333334, 0.22916666666666666, 0.3177083333333333, 0.34375], "identity_acc": 0.21875, "rescue_at1": 0.036458333333333336, "harm_at1": 0.17708333333333334, "nonident_top1": 1.0}}, {"params": {"program": 18, "layer_path": [0, 1, 2, 3, 4, 5, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 19, 20, 21, 22, 22, 23, 24, 26, 27], "train_prior": 0.4455}, "val": {"pass_at": [0.06770833333333333, 0.13020833333333334, 0.22916666666666666, 0.3177083333333333, 0.34375], "identity_acc": 0.21875, "rescue_at1": 0.020833333333333332, "harm_at1": 0.171875, "nonident_top1": 1.0}}, {"params": {"program": 48, "layer_path": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.4426}, "val": {"pass_at": [0.1875, 0.20833333333333334, 0.22916666666666666, 0.3177083333333333, 0.34375], "identity_acc": 0.21875, "rescue_at1": 0.06770833333333333, "harm_at1": 0.09895833333333333, "nonident_top1": 1.0}}, {"params": {"program": 13, "layer_path": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.4332}, "val": {"pass_at": [0.18229166666666666, 0.22916666666666666, 0.2552083333333333, 0.3177083333333333, 0.34375], "identity_acc": 0.21875, "rescue_at1": 0.06770833333333333, "harm_at1": 0.10416666666666667, "nonident_top1": 1.0}}, {"params": {"program": 23, "layer_path": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 23, 24, 25, 26, 27], "train_prior": 0.432}, "val": {"pass_at": [0.09375, 0.15625, 0.19791666666666666, 0.2708333333333333, 0.34375], "identity_acc": 0.21875, "rescue_at1": 0.026041666666666668, "harm_at1": 0.15104166666666666, "nonident_top1": 1.0}}, {"params": {"program": 50, "layer_path": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.4009}, "val": {"pass_at": [0.109375, 0.15104166666666666, 0.1875, 0.2552083333333333, 0.3333333333333333], "identity_acc": 0.21875, "rescue_at1": 0.052083333333333336, "harm_at1": 0.16145833333333334, "nonident_top1": 1.0}}, {"params": {"program": 51, "layer_path": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 24, 25, 26, 27], "train_prior": 0.3849}, "val": {"pass_at": [0.07291666666666667, 0.13541666666666666, 0.171875, 0.2604166666666667, 0.3333333333333333], "identity_acc": 0.21875, "rescue_at1": 0.020833333333333332, "harm_at1": 0.16666666666666666, "nonident_top1": 1.0}}, {"params": {"program": 46, "layer_path": [0, 1, 2, 3, 4, 5, 6, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 19, 20, 21, 22, 22, 23, 24, 25, 26, 27], "train_prior": 0.3663}, "val": {"pass_at": [0.125, 0.171875, 0.20833333333333334, 0.2864583333333333, 0.359375], "identity_acc": 0.21875, "rescue_at1": 0.041666666666666664, "harm_at1": 0.13541666666666666, "nonident_top1": 1.0}}, {"params": {"program": 28, "layer_path": [0, 1, 2, 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.3389}, "val": {"pass_at": [0.08854166666666667, 0.125, 0.16666666666666666, 0.25, 0.328125], "identity_acc": 0.21875, "rescue_at1": 0.036458333333333336, "harm_at1": 0.16666666666666666, "nonident_top1": 1.0}}, {"params": {"program": 24, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 15, 16, 17, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.3379}, "val": {"pass_at": [0.125, 0.16666666666666666, 0.21354166666666666, 0.296875, 0.3645833333333333], "identity_acc": 0.21875, "rescue_at1": 0.046875, "harm_at1": 0.140625, "nonident_top1": 1.0}}, {"params": {"program": 65, "layer_path": [0, 1, 2, 3, 4, 5, 6, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 19, 20, 21, 22, 22, 23, 24, 26, 27], "train_prior": 0.3307}, "val": {"pass_at": [0.09895833333333333, 0.15625, 0.1875, 0.2708333333333333, 0.3489583333333333], "identity_acc": 0.21875, "rescue_at1": 0.015625, "harm_at1": 0.13541666666666666, "nonident_top1": 1.0}}, {"params": {"program": 75, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 10, 11, 12, 13, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 24, 25, 26, 27], "train_prior": 0.3082}, "val": {"pass_at": [0.06770833333333333, 0.13541666666666666, 0.18229166666666666, 0.2708333333333333, 0.3333333333333333], "identity_acc": 0.21875, "rescue_at1": 0.026041666666666668, "harm_at1": 0.17708333333333334, "nonident_top1": 1.0}}, {"params": {"program": 31, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 19, 20, 21, 22, 23, 24, 25, 26], "train_prior": 0.2948}, "val": {"pass_at": [0.078125, 0.15104166666666666, 0.18229166666666666, 0.2604166666666667, 0.3333333333333333], "identity_acc": 0.21875, "rescue_at1": 0.026041666666666668, "harm_at1": 0.16666666666666666, "nonident_top1": 1.0}}, {"params": {"program": 26, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 15, 16, 17, 17, 18, 19, 20, 21, 22, 23, 24, 25, 25, 26, 27], "train_prior": 0.291}, "val": {"pass_at": [0.109375, 0.15104166666666666, 0.19791666666666666, 0.2760416666666667, 0.3489583333333333], "identity_acc": 0.21875, "rescue_at1": 0.03125, "harm_at1": 0.140625, "nonident_top1": 1.0}}, {"params": {"program": 93, "layer_path": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 9, 10, 11, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 27], "train_prior": 0.2889}, "val": {"pass_at": [0.046875, 0.10416666666666667, 0.14583333333333334, 0.23958333333333334, 0.3229166666666667], "identity_acc": 0.21875, "rescue_at1": 0.020833333333333332, "harm_at1": 0.19270833333333334, "nonident_top1": 1.0}}, {"params": {"program": 42, "layer_path": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.2869}, "val": {"pass_at": [0.078125, 0.13020833333333334, 0.17708333333333334, 0.265625, 0.3333333333333333], "identity_acc": 0.21875, "rescue_at1": 0.03125, "harm_at1": 0.171875, "nonident_top1": 1.0}}, {"params": {"program": 111, "layer_path": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.2787}, "val": {"pass_at": [0.10416666666666667, 0.15625, 0.19791666666666666, 0.2708333333333333, 0.3385416666666667], "identity_acc": 0.21875, "rescue_at1": 0.041666666666666664, "harm_at1": 0.15625, "nonident_top1": 1.0}}, {"params": {"program": 54, "layer_path": [0, 1, 2, 3, 4, 6, 7, 8, 9, 10, 11, 12, 10, 11, 12, 13, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.2782}, "val": {"pass_at": [0.0625, 0.109375, 0.15625, 0.25, 0.3229166666666667], "identity_acc": 0.21875, "rescue_at1": 0.03125, "harm_at1": 0.1875, "nonident_top1": 1.0}}, {"params": {"program": 62, "layer_path": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.2759}, "val": {"pass_at": [0.15104166666666666, 0.19791666666666666, 0.234375, 0.3072916666666667, 0.3645833333333333], "identity_acc": 0.21875, "rescue_at1": 0.052083333333333336, "harm_at1": 0.11979166666666667, "nonident_top1": 1.0}}, {"params": {"program": 86, "layer_path": [0, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 27], "train_prior": 0.2719}, "val": {"pass_at": [0.020833333333333332, 0.09375, 0.14583333333333334, 0.23958333333333334, 0.328125], "identity_acc": 0.21875, "rescue_at1": 0.015625, "harm_at1": 0.21354166666666666, "nonident_top1": 1.0}}]}}}
polar_split/fixed_program/llama32_3b/polar_default/seed1/diff4/fold1.json ADDED
@@ -0,0 +1 @@
 
 
1
+ {"difficulty": 4, "menu_size": 123, "prompt_style": "raw", "samples": "/app/data/router_data/theirsplit_cv/l3b_lpselraws1_diff4_f1.json", "n": {"train": 961, "val": 192, "test": 384}, "methods": {"fixed": {"winner": {"program": 61, "layer_path": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.3477}, "val": {"pass_at": [0.171875, 0.21875, 0.2552083333333333, 0.296875, 0.3125], "identity_acc": 0.20833333333333334, "rescue_at1": 0.052083333333333336, "harm_at1": 0.08854166666666667, "nonident_top1": 1.0}, "test": {"pass_at": [0.19010416666666666, 0.20572916666666666, 0.23958333333333334, 0.28125, 0.3333333333333333], "identity_acc": 0.21875, "rescue_at1": 0.0625, "harm_at1": 0.09114583333333333, "nonident_top1": 1.0, "mcnemar_p": 0.19252645776146274, "n_distinct_top1": 1, "top_nonidentity": [{"layer_path": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "n": 384}], "per_question": [{"query_id": "MATH/train/geometry/58.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/676.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/492.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1966.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/1135.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/230.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/252.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/656.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/53.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/580.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/866.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/1627.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1494.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/precalculus/790.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/1430.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/1090.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/474.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1514.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/963.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/966.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/892.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/1262.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/451.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1450.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/675.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/615.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/428.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/835.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/575.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/1225.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1801.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/501.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/147.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1461.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/155.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/929.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/algebra/1859.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/1154.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/639.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/384.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/123.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2803.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/505.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/822.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/372.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1057.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/precalculus/191.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/753.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/841.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1223.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/831.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/907.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/2388.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1370.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1785.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/2487.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/1101.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/371.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/899.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/1253.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/656.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/265.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1921.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/1263.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/geometry/590.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1917.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/874.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/367.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/2056.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/749.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/426.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/542.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1365.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1304.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1098.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2006.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1709.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/649.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/2778.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1953.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/precalculus/370.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2678.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/308.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/360.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/geometry/303.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/815.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/810.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/836.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/2791.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/181.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/541.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/number_theory/897.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/675.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/1028.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1415.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/2200.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2289.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/62.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/59.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/775.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/247.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/1104.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1764.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2607.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/584.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/1062.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/79.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/24022.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/759.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/326.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/precalculus/1010.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/959.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/24737.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1305.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/438.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/749.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/201.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/1735.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/412.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/662.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2447.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1517.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/precalculus/552.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/126.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/157.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/650.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/86.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/923.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1840.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/precalculus/706.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1599.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/634.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/309.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/811.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/1048.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/695.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/geometry/349.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1068.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/2.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/525.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/geometry/779.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/98.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/333.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/55.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/geometry/1099.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/419.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/787.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/385.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1049.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/264.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/72.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/238.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1025.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/810.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/number_theory/633.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1644.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/1242.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/858.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/375.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/97.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/215.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/350.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/2049.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/400.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/899.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/624.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/602.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/geometry/851.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/894.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/algebra/70.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/23928.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/512.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2504.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/935.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/2505.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/240.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1420.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/810.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1077.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/916.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/1205.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/precalculus/1190.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/1045.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/geometry/532.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/817.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/127.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2767.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/594.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1156.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/510.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/892.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/605.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/393.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/1249.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/988.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/782.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/algebra/1350.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/816.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/853.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/809.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/498.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/756.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1142.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/1250.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1774.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2266.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/algebra/1361.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/958.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/244.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1370.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/1108.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/1217.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/997.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1315.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/1906.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/299.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/868.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/25002.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/637.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/622.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/220.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/919.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/algebra/78.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/1154.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/1769.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1692.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1955.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/748.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/2180.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1525.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/349.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/1030.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/290.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1211.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/946.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2230.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/956.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/659.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/414.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1021.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/708.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/410.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/371.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/1141.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/2035.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/25192.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/1540.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/1190.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1908.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/655.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/1262.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/753.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/226.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/1020.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/precalculus/1258.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/109.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/839.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/2050.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/1012.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/459.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1161.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/1152.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/algebra/24884.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/1525.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1327.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/658.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1923.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/444.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/529.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/630.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/632.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/586.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/546.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/601.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1751.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1298.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/241.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/586.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/948.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/geometry/891.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/144.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/2016.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/203.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/441.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/445.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/1070.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/2071.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/945.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1848.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/461.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/2.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/geometry/506.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/1124.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1286.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/precalculus/745.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1671.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/869.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/561.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/566.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/precalculus/29.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/118.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/308.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/851.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2468.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/234.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/precalculus/1099.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/882.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2001.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/318.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/325.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/377.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/831.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1444.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/866.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/404.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/845.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1858.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/precalculus/1058.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/2080.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/607.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2727.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1939.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/565.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1603.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/25610.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/115.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/718.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/336.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/81.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/2044.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/1719.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1340.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/745.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/geometry/147.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/824.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/1055.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2668.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/974.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/979.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/882.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/486.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/1860.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1126.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/precalculus/95.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/860.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/1105.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/948.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1261.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/667.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/754.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1643.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1281.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/941.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/201.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/2107.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/35.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/975.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/47.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1819.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/1795.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/30.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/precalculus/429.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/1831.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1100.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/geometry/42.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/35.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/2185.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1013.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/389.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/129.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/553.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1613.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/precalculus/607.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/512.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/424.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/433.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/1425.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/808.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/707.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1767.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/887.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/1186.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/793.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/860.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}]}, "all_val": [{"params": {"program": 18, "layer_path": [0, 1, 2, 3, 4, 5, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 19, 20, 21, 22, 22, 23, 24, 26, 27], "train_prior": 0.5022}, "val": {"pass_at": [0.078125, 0.15104166666666666, 0.21875, 0.2708333333333333, 0.2760416666666667], "identity_acc": 0.20833333333333334, "rescue_at1": 0.046875, "harm_at1": 0.17708333333333334, "nonident_top1": 1.0}}, {"params": {"program": 53, "layer_path": [0, 1, 2, 2, 3, 4, 5, 6, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.4553}, "val": {"pass_at": [0.11458333333333333, 0.15104166666666666, 0.21875, 0.2708333333333333, 0.2760416666666667], "identity_acc": 0.20833333333333334, "rescue_at1": 0.052083333333333336, "harm_at1": 0.14583333333333334, "nonident_top1": 1.0}}, {"params": {"program": 28, "layer_path": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 23, 24, 25, 26, 27], "train_prior": 0.3779}, "val": {"pass_at": [0.10416666666666667, 0.16666666666666666, 0.21875, 0.2708333333333333, 0.2760416666666667], "identity_acc": 0.20833333333333334, "rescue_at1": 0.046875, "harm_at1": 0.15104166666666666, "nonident_top1": 1.0}}, {"params": {"program": 15, "layer_path": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.3716}, "val": {"pass_at": [0.13541666666666666, 0.18229166666666666, 0.23958333333333334, 0.2708333333333333, 0.2760416666666667], "identity_acc": 0.20833333333333334, "rescue_at1": 0.046875, "harm_at1": 0.11979166666666667, "nonident_top1": 1.0}}, {"params": {"program": 58, "layer_path": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 24, 25, 26, 27], "train_prior": 0.3604}, "val": {"pass_at": [0.08854166666666667, 0.14583333333333334, 0.20833333333333334, 0.234375, 0.2760416666666667], "identity_acc": 0.20833333333333334, "rescue_at1": 0.020833333333333332, "harm_at1": 0.140625, "nonident_top1": 1.0}}, {"params": {"program": 60, "layer_path": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.3477}, "val": {"pass_at": [0.13541666666666666, 0.18229166666666666, 0.21354166666666666, 0.2760416666666667, 0.3072916666666667], "identity_acc": 0.20833333333333334, "rescue_at1": 0.052083333333333336, "harm_at1": 0.125, "nonident_top1": 1.0}}, {"params": {"program": 61, "layer_path": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.3477}, "val": {"pass_at": [0.171875, 0.21875, 0.2552083333333333, 0.296875, 0.3125], "identity_acc": 0.20833333333333334, "rescue_at1": 0.052083333333333336, "harm_at1": 0.08854166666666667, "nonident_top1": 1.0}}, {"params": {"program": 43, "layer_path": [0, 1, 2, 3, 4, 6, 7, 8, 9, 10, 11, 12, 10, 11, 12, 13, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.3436}, "val": {"pass_at": [0.036458333333333336, 0.109375, 0.171875, 0.234375, 0.2864583333333333], "identity_acc": 0.20833333333333334, "rescue_at1": 0.005208333333333333, "harm_at1": 0.17708333333333334, "nonident_top1": 1.0}}, {"params": {"program": 54, "layer_path": [0, 1, 2, 3, 4, 5, 6, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 19, 20, 21, 22, 22, 23, 24, 25, 26, 27], "train_prior": 0.3204}, "val": {"pass_at": [0.078125, 0.125, 0.18229166666666666, 0.23958333333333334, 0.2864583333333333], "identity_acc": 0.20833333333333334, "rescue_at1": 0.020833333333333332, "harm_at1": 0.15104166666666666, "nonident_top1": 1.0}}, {"params": {"program": 84, "layer_path": [0, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 27], "train_prior": 0.31}, "val": {"pass_at": [0.010416666666666666, 0.08333333333333333, 0.15625, 0.22395833333333334, 0.2708333333333333], "identity_acc": 0.20833333333333334, "rescue_at1": 0.005208333333333333, "harm_at1": 0.203125, "nonident_top1": 1.0}}, {"params": {"program": 89, "layer_path": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 9, 10, 11, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 27], "train_prior": 0.31}, "val": {"pass_at": [0.06770833333333333, 0.140625, 0.19270833333333334, 0.25, 0.2916666666666667], "identity_acc": 0.20833333333333334, "rescue_at1": 0.026041666666666668, "harm_at1": 0.16666666666666666, "nonident_top1": 1.0}}, {"params": {"program": 30, "layer_path": [0, 1, 2, 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.3027}, "val": {"pass_at": [0.09895833333333333, 0.15625, 0.1875, 0.25, 0.2916666666666667], "identity_acc": 0.20833333333333334, "rescue_at1": 0.046875, "harm_at1": 0.15625, "nonident_top1": 1.0}}, {"params": {"program": 26, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 15, 16, 17, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.2977}, "val": {"pass_at": [0.13541666666666666, 0.19270833333333334, 0.23958333333333334, 0.28125, 0.3125], "identity_acc": 0.20833333333333334, "rescue_at1": 0.0625, "harm_at1": 0.13541666666666666, "nonident_top1": 1.0}}, {"params": {"program": 70, "layer_path": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 14, 15, 16, 17, 18, 19, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.2974}, "val": {"pass_at": [0.109375, 0.14583333333333334, 0.19270833333333334, 0.25, 0.2916666666666667], "identity_acc": 0.20833333333333334, "rescue_at1": 0.06770833333333333, "harm_at1": 0.16666666666666666, "nonident_top1": 1.0}}, {"params": {"program": 35, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 19, 20, 21, 22, 23, 24, 25, 26], "train_prior": 0.2953}, "val": {"pass_at": [0.07291666666666667, 0.13020833333333334, 0.1875, 0.25, 0.2916666666666667], "identity_acc": 0.20833333333333334, "rescue_at1": 0.026041666666666668, "harm_at1": 0.16145833333333334, "nonident_top1": 1.0}}, {"params": {"program": 29, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 15, 16, 17, 17, 18, 19, 20, 21, 22, 23, 24, 25, 25, 26, 27], "train_prior": 0.2826}, "val": {"pass_at": [0.11458333333333333, 0.171875, 0.234375, 0.2708333333333333, 0.3020833333333333], "identity_acc": 0.20833333333333334, "rescue_at1": 0.052083333333333336, "harm_at1": 0.14583333333333334, "nonident_top1": 1.0}}, {"params": {"program": 98, "layer_path": [0, 1, 2, 3, 4, 5, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 19, 20, 21, 22, 22, 23, 24, 24, 26, 27], "train_prior": 0.2808}, "val": {"pass_at": [0.041666666666666664, 0.078125, 0.15104166666666666, 0.21875, 0.2708333333333333], "identity_acc": 0.20833333333333334, "rescue_at1": 0.020833333333333332, "harm_at1": 0.1875, "nonident_top1": 1.0}}, {"params": {"program": 114, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 10, 11, 12, 13, 14, 15, 16, 17, 17, 18, 19, 19, 20, 21, 22, 23, 26, 27], "train_prior": 0.2808}, "val": {"pass_at": [0.03125, 0.10416666666666667, 0.171875, 0.23958333333333334, 0.2864583333333333], "identity_acc": 0.20833333333333334, "rescue_at1": 0.010416666666666666, "harm_at1": 0.1875, "nonident_top1": 1.0}}, {"params": {"program": 48, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 10, 11, 12, 13, 13, 14, 15, 16, 17, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.2757}, "val": {"pass_at": [0.10416666666666667, 0.16666666666666666, 0.21875, 0.2604166666666667, 0.3020833333333333], "identity_acc": 0.20833333333333334, "rescue_at1": 0.041666666666666664, "harm_at1": 0.14583333333333334, "nonident_top1": 1.0}}, {"params": {"program": 77, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 22, 23, 25, 26, 27], "train_prior": 0.2735}, "val": {"pass_at": [0.06770833333333333, 0.13020833333333334, 0.203125, 0.2552083333333333, 0.3020833333333333], "identity_acc": 0.20833333333333334, "rescue_at1": 0.03125, "harm_at1": 0.171875, "nonident_top1": 1.0}}]}}}
polar_split/fixed_program/llama32_3b/polar_default/seed1/diff4/fold2.json ADDED
@@ -0,0 +1 @@
 
 
1
+ {"difficulty": 4, "menu_size": 123, "prompt_style": "raw", "samples": "/app/data/router_data/theirsplit_cv/l3b_lpselraws1_diff4_f2.json", "n": {"train": 960, "val": 192, "test": 385}, "methods": {"fixed": {"winner": {"program": 45, "layer_path": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.4476}, "val": {"pass_at": [0.171875, 0.21875, 0.265625, 0.28125, 0.3229166666666667], "identity_acc": 0.20833333333333334, "rescue_at1": 0.052083333333333336, "harm_at1": 0.08854166666666667, "nonident_top1": 1.0}, "test": {"pass_at": [0.21298701298701297, 0.24155844155844156, 0.2779220779220779, 0.32987012987012987, 0.35584415584415585], "identity_acc": 0.23636363636363636, "rescue_at1": 0.07012987012987013, "harm_at1": 0.09350649350649351, "nonident_top1": 1.0, "mcnemar_p": 0.31350305329645284, "n_distinct_top1": 1, "top_nonidentity": [{"layer_path": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "n": 385}], "per_question": [{"query_id": "MATH/train/intermediate_algebra/1265.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/718.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/383.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1493.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2151.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/geometry/842.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/576.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/1048.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/algebra/1777.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/169.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/1751.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2355.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/516.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/number_theory/595.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/1821.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/877.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/24411.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/1106.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/605.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/1066.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/2061.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/1067.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/707.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1627.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/1363.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/843.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/719.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/898.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/394.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/425.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1308.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/2135.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/810.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/geometry/545.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/411.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/2140.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/233.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/precalculus/975.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/961.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/138.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/1212.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1588.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/397.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/537.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/94.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/geometry/926.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/288.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/1019.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/algebra/1122.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/number_theory/199.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/868.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/1292.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/674.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/149.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/algebra/910.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/38.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1654.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/124.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/2568.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2597.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/740.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/58.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2506.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/340.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/556.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2069.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/257.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/2178.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/541.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/271.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/871.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1720.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/973.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/240.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2352.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/647.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/number_theory/498.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/1013.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/564.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/precalculus/497.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/473.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/677.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/857.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/24548.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/641.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/algebra/1964.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2686.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/737.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/729.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/615.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1785.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/39.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/905.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/1469.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/25404.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/948.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/529.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/geometry/85.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/894.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/53.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/1066.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1201.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/1882.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1099.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/724.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/654.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/24417.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/1137.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/24524.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/205.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/294.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/2036.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/867.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1639.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/1164.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/26.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1083.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2304.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/768.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/738.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/2060.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/geometry/858.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1513.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/59.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/476.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/807.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/306.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2643.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1569.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/635.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1958.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/664.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/242.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/145.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/814.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/267.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/348.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1450.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/184.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1818.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/2177.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/1315.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/106.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1686.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/342.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/1709.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/751.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/500.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/192.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/geometry/1121.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/2120.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/232.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2068.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1790.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/517.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/739.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/160.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/927.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/geometry/896.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/713.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1345.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/496.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/2112.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/602.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/585.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/426.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/332.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/940.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/24959.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/2045.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/geometry/1139.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/1127.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1656.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/71.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/6.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/1210.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/2661.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/precalculus/750.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1242.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/2177.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1277.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1255.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/479.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/1567.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1713.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/402.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2384.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/680.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/91.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/329.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/1015.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/1378.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/algebra/1240.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2380.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1424.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1949.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/415.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1866.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/949.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/765.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/761.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1191.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/number_theory/731.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/797.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/1527.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/995.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/257.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/number_theory/934.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/1835.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1435.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/number_theory/432.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/geometry/441.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/968.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/774.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/903.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/560.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/687.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/274.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/466.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/geometry/4.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/980.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/764.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/geometry/358.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/1369.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/2063.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/741.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/619.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/798.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/997.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1409.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/950.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/2400.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/757.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/1173.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1984.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/907.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1726.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/645.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/geometry/511.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/302.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/411.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1429.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/1270.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/1119.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/213.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1329.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/125.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1715.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1297.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/410.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/985.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/434.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/361.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1224.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1844.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/940.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/49.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/2212.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/760.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/322.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/number_theory/1030.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/58.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/162.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1765.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/398.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/geometry/1143.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/542.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/algebra/2658.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/16.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/1245.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/1294.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/1296.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1630.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/343.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/809.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/571.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/848.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/1094.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/743.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/91.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1468.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/863.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/295.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/1243.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/437.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/550.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/619.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/24.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/103.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/122.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1257.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2131.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/1110.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/2327.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/1436.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/873.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1285.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/888.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1163.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/329.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/399.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/612.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/geometry/660.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/1026.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1191.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/306.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1856.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/precalculus/579.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/351.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/323.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/precalculus/223.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/1048.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/680.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1986.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/694.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/geometry/202.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/1258.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/572.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/764.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/625.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/262.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/1477.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/591.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/543.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/760.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1116.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/1063.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/precalculus/345.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/846.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/842.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/593.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/806.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/667.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1019.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1613.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/394.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/679.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/746.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1668.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1043.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1244.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/303.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/117.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/24607.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/1078.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/269.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1806.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/131.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/194.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1505.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/818.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/1003.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/1078.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/2179.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/28.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/1351.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/321.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1533.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/708.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/406.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1955.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1191.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/807.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/301.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1141.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/2229.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1810.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/284.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/683.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/2149.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/136.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/1149.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/1053.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1431.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/2076.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1101.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/41.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/746.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/806.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/1027.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/algebra/2233.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1970.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/2269.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1704.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/670.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}]}, "all_val": [{"params": {"program": 20, "layer_path": [0, 1, 2, 3, 4, 5, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 19, 20, 21, 22, 22, 23, 24, 26, 27], "train_prior": 0.5114}, "val": {"pass_at": [0.078125, 0.21875, 0.265625, 0.28125, 0.3229166666666667], "identity_acc": 0.20833333333333334, "rescue_at1": 0.046875, "harm_at1": 0.17708333333333334, "nonident_top1": 1.0}}, {"params": {"program": 45, "layer_path": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.4476}, "val": {"pass_at": [0.171875, 0.21875, 0.265625, 0.28125, 0.3229166666666667], "identity_acc": 0.20833333333333334, "rescue_at1": 0.052083333333333336, "harm_at1": 0.08854166666666667, "nonident_top1": 1.0}}, {"params": {"program": 25, "layer_path": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 23, 24, 25, 26, 27], "train_prior": 0.4116}, "val": {"pass_at": [0.10416666666666667, 0.16666666666666666, 0.265625, 0.28125, 0.3229166666666667], "identity_acc": 0.20833333333333334, "rescue_at1": 0.046875, "harm_at1": 0.15104166666666666, "nonident_top1": 1.0}}, {"params": {"program": 13, "layer_path": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.4003}, "val": {"pass_at": [0.13541666666666666, 0.18229166666666666, 0.25, 0.28125, 0.3229166666666667], "identity_acc": 0.20833333333333334, "rescue_at1": 0.046875, "harm_at1": 0.11979166666666667, "nonident_top1": 1.0}}, {"params": {"program": 52, "layer_path": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.3707}, "val": {"pass_at": [0.13541666666666666, 0.18229166666666666, 0.2708333333333333, 0.3125, 0.3229166666666667], "identity_acc": 0.20833333333333334, "rescue_at1": 0.052083333333333336, "harm_at1": 0.125, "nonident_top1": 1.0}}, {"params": {"program": 59, "layer_path": [0, 1, 2, 2, 3, 4, 5, 6, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.3637}, "val": {"pass_at": [0.11458333333333333, 0.15104166666666666, 0.2552083333333333, 0.296875, 0.3125], "identity_acc": 0.20833333333333334, "rescue_at1": 0.052083333333333336, "harm_at1": 0.14583333333333334, "nonident_top1": 1.0}}, {"params": {"program": 21, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 15, 16, 17, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.3543}, "val": {"pass_at": [0.13541666666666666, 0.19270833333333334, 0.2916666666666667, 0.3229166666666667, 0.328125], "identity_acc": 0.20833333333333334, "rescue_at1": 0.0625, "harm_at1": 0.13541666666666666, "nonident_top1": 1.0}}, {"params": {"program": 49, "layer_path": [0, 1, 2, 3, 4, 5, 6, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 19, 20, 21, 22, 22, 23, 24, 25, 26, 27], "train_prior": 0.3324}, "val": {"pass_at": [0.078125, 0.125, 0.22916666666666666, 0.2760416666666667, 0.2916666666666667], "identity_acc": 0.20833333333333334, "rescue_at1": 0.020833333333333332, "harm_at1": 0.15104166666666666, "nonident_top1": 1.0}}, {"params": {"program": 38, "layer_path": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.3247}, "val": {"pass_at": [0.08333333333333333, 0.140625, 0.25, 0.2864583333333333, 0.296875], "identity_acc": 0.20833333333333334, "rescue_at1": 0.046875, "harm_at1": 0.171875, "nonident_top1": 1.0}}, {"params": {"program": 65, "layer_path": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 24, 25, 26, 27], "train_prior": 0.3161}, "val": {"pass_at": [0.08854166666666667, 0.14583333333333334, 0.24479166666666666, 0.2708333333333333, 0.2864583333333333], "identity_acc": 0.20833333333333334, "rescue_at1": 0.020833333333333332, "harm_at1": 0.140625, "nonident_top1": 1.0}}, {"params": {"program": 24, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 15, 16, 17, 17, 18, 19, 20, 21, 22, 23, 24, 25, 25, 26, 27], "train_prior": 0.2902}, "val": {"pass_at": [0.11458333333333333, 0.171875, 0.2916666666666667, 0.3177083333333333, 0.3177083333333333], "identity_acc": 0.20833333333333334, "rescue_at1": 0.052083333333333336, "harm_at1": 0.14583333333333334, "nonident_top1": 1.0}}, {"params": {"program": 74, "layer_path": [0, 0, 1, 2, 3, 4, 5, 6, 7, 8, 10, 11, 12, 13, 14, 15, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.2899}, "val": {"pass_at": [0.020833333333333332, 0.09895833333333333, 0.22916666666666666, 0.2760416666666667, 0.2864583333333333], "identity_acc": 0.20833333333333334, "rescue_at1": 0.015625, "harm_at1": 0.203125, "nonident_top1": 1.0}}, {"params": {"program": 88, "layer_path": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 9, 10, 11, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 27], "train_prior": 0.2899}, "val": {"pass_at": [0.06770833333333333, 0.140625, 0.25, 0.2864583333333333, 0.3020833333333333], "identity_acc": 0.20833333333333334, "rescue_at1": 0.026041666666666668, "harm_at1": 0.16666666666666666, "nonident_top1": 1.0}}, {"params": {"program": 54, "layer_path": [0, 1, 2, 3, 4, 6, 7, 8, 9, 10, 11, 12, 10, 11, 12, 13, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.2879}, "val": {"pass_at": [0.036458333333333336, 0.109375, 0.234375, 0.2760416666666667, 0.2916666666666667], "identity_acc": 0.20833333333333334, "rescue_at1": 0.005208333333333333, "harm_at1": 0.17708333333333334, "nonident_top1": 1.0}}, {"params": {"program": 56, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 19, 20, 21, 22, 23, 24, 27], "train_prior": 0.2829}, "val": {"pass_at": [0.08333333333333333, 0.13020833333333334, 0.25, 0.2916666666666667, 0.3072916666666667], "identity_acc": 0.20833333333333334, "rescue_at1": 0.041666666666666664, "harm_at1": 0.16666666666666666, "nonident_top1": 1.0}}, {"params": {"program": 96, "layer_path": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.2798}, "val": {"pass_at": [0.08854166666666667, 0.15104166666666666, 0.265625, 0.296875, 0.3072916666666667], "identity_acc": 0.20833333333333334, "rescue_at1": 0.052083333333333336, "harm_at1": 0.171875, "nonident_top1": 1.0}}, {"params": {"program": 97, "layer_path": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.2798}, "val": {"pass_at": [0.15625, 0.203125, 0.2760416666666667, 0.3020833333333333, 0.3125], "identity_acc": 0.20833333333333334, "rescue_at1": 0.052083333333333336, "harm_at1": 0.10416666666666667, "nonident_top1": 1.0}}, {"params": {"program": 101, "layer_path": [0, 1, 2, 3, 4, 5, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 19, 20, 21, 22, 22, 23, 24, 25, 25, 26, 27], "train_prior": 0.2798}, "val": {"pass_at": [0.0625, 0.10416666666666667, 0.22395833333333334, 0.2708333333333333, 0.2864583333333333], "identity_acc": 0.20833333333333334, "rescue_at1": 0.026041666666666668, "harm_at1": 0.171875, "nonident_top1": 1.0}}, {"params": {"program": 80, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 10, 11, 12, 13, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 24, 25, 26, 27], "train_prior": 0.2728}, "val": {"pass_at": [0.06770833333333333, 0.13541666666666666, 0.25, 0.2864583333333333, 0.296875], "identity_acc": 0.20833333333333334, "rescue_at1": 0.026041666666666668, "harm_at1": 0.16666666666666666, "nonident_top1": 1.0}}, {"params": {"program": 85, "layer_path": [0, 1, 2, 3, 4, 5, 6, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 19, 20, 21, 22, 22, 23, 24, 26, 27], "train_prior": 0.2728}, "val": {"pass_at": [0.07291666666666667, 0.13020833333333334, 0.234375, 0.28125, 0.2916666666666667], "identity_acc": 0.20833333333333334, "rescue_at1": 0.010416666666666666, "harm_at1": 0.14583333333333334, "nonident_top1": 1.0}}]}}}
polar_split/fixed_program/llama32_3b/polar_default/seed1/diff4/fold3.json ADDED
@@ -0,0 +1 @@
 
 
1
+ {"difficulty": 4, "menu_size": 132, "prompt_style": "raw", "samples": "/app/data/router_data/theirsplit_cv/l3b_lpselraws1_diff4_f3.json", "n": {"train": 961, "val": 192, "test": 384}, "methods": {"fixed": {"winner": {"program": 94, "layer_path": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.2714}, "val": {"pass_at": [0.171875, 0.21875, 0.25, 0.28125, 0.2864583333333333], "identity_acc": 0.20833333333333334, "rescue_at1": 0.052083333333333336, "harm_at1": 0.08854166666666667, "nonident_top1": 1.0}, "test": {"pass_at": [0.19270833333333334, 0.22135416666666666, 0.2838541666666667, 0.3177083333333333, 0.3333333333333333], "identity_acc": 0.24479166666666666, "rescue_at1": 0.052083333333333336, "harm_at1": 0.10416666666666667, "nonident_top1": 1.0, "mcnemar_p": 0.01348929373119186, "n_distinct_top1": 1, "top_nonidentity": [{"layer_path": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "n": 384}], "per_question": [{"query_id": "MATH/train/algebra/563.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/1131.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/32.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1516.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1889.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/824.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/196.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/875.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/1016.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/828.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/727.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/513.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/616.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/precalculus/1189.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/24113.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/24964.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1677.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/299.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/geometry/651.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1579.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/2041.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2038.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/177.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/828.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/405.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/167.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/388.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/565.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1884.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/2.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2704.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/256.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1439.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1041.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/geometry/132.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/136.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/653.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/925.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/157.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1491.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/750.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/639.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1108.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/747.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/57.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/1110.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/488.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/283.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1106.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/410.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/1153.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1222.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/135.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/820.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/608.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/1186.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/203.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/307.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/287.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1867.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/34.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/1106.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/510.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1150.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/797.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/121.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1552.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1576.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1235.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/1041.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/556.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/25284.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/878.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/1246.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2773.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/758.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/958.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/224.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/geometry/1000.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/precalculus/590.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/2211.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1481.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/540.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/2422.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/866.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/1069.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/geometry/340.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/104.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/257.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/94.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/24005.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/350.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/1052.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/1175.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/24.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1058.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/731.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1719.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1554.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/1178.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2726.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2228.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/645.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/927.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1689.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1700.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/734.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/480.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/632.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/797.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/1307.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1006.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/2006.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/118.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/670.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/number_theory/31.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/2128.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/576.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/971.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/algebra/195.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/212.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/660.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1655.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1722.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/precalculus/550.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1556.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1403.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/425.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1336.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/125.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/precalculus/492.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/33.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/543.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/603.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/geometry/701.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/957.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/1838.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1037.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/221.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1673.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1322.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/precalculus/792.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2766.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/317.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/452.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1724.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1013.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/336.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/232.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/geometry/93.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/618.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/544.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2782.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/11.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/832.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/1641.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/geometry/716.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2181.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/280.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1139.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1175.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/531.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/619.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1325.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/precalculus/1180.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/442.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/925.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1359.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1643.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/471.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/1153.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/781.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/2085.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/1872.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2560.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/precalculus/839.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/367.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/geometry/799.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/63.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/580.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/18.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/37.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/697.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1398.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/457.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1005.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/811.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/1058.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/975.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/173.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/305.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1526.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/423.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/881.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/839.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/844.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/2042.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/geometry/908.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/311.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/601.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/2062.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/319.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/2032.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/213.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/24402.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/31.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/1852.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/number_theory/809.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/1280.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/1877.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/189.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/576.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/2617.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/898.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/1002.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1273.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/205.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1495.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/algebra/25370.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/116.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/315.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/1264.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2581.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1518.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/2067.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/93.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/462.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2622.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1337.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/754.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1993.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/555.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/455.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/1489.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/1630.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/297.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/385.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/743.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/657.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1871.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/377.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/709.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1164.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/318.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/25474.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/941.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1215.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/561.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/939.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/geometry/71.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/419.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1694.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/654.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/25295.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/224.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/625.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2219.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/978.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/540.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/777.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/765.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/2170.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/geometry/1001.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/158.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/176.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1719.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/1085.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/251.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/46.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/number_theory/1264.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/1008.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/251.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1402.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/112.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/659.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/476.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1522.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/428.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/2716.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/1079.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/231.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/202.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/556.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/801.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/733.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/249.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1431.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/914.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/934.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/881.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/geometry/144.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/555.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1515.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/535.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/978.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/187.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2345.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/2118.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/geometry/121.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/1696.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/number_theory/872.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/200.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/1109.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/652.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/678.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/886.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2624.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/299.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/149.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/number_theory/959.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/315.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2497.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/726.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/920.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/567.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2202.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/2334.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/2143.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/781.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/349.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/531.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/327.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1325.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/940.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1892.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/25.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/631.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/600.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/679.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/785.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/244.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/1036.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/349.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/934.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/355.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1515.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/527.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2372.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/1154.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/915.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/1883.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/802.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/1250.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/2087.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/938.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/0.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/114.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/528.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/240.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/geometry/525.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1997.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/geometry/944.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2426.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1167.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/491.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/geometry/657.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/precalculus/113.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2075.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/658.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2406.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/430.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/386.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/199.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/precalculus/275.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/number_theory/482.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/696.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/3.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2382.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/301.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/1102.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/295.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/887.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/296.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/1630.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1004.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/559.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/348.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1604.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/650.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/947.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/793.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1546.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/177.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/130.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}]}, "all_val": [{"params": {"program": 18, "layer_path": [0, 1, 2, 3, 4, 5, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 19, 20, 21, 22, 22, 23, 24, 26, 27], "train_prior": 0.5299}, "val": {"pass_at": [0.078125, 0.18229166666666666, 0.22395833333333334, 0.22916666666666666, 0.2760416666666667], "identity_acc": 0.20833333333333334, "rescue_at1": 0.046875, "harm_at1": 0.17708333333333334, "nonident_top1": 1.0}}, {"params": {"program": 13, "layer_path": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.3749}, "val": {"pass_at": [0.13541666666666666, 0.18229166666666666, 0.22395833333333334, 0.22916666666666666, 0.2760416666666667], "identity_acc": 0.20833333333333334, "rescue_at1": 0.046875, "harm_at1": 0.11979166666666667, "nonident_top1": 1.0}}, {"params": {"program": 27, "layer_path": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 23, 24, 25, 26, 27], "train_prior": 0.3723}, "val": {"pass_at": [0.10416666666666667, 0.16666666666666666, 0.22395833333333334, 0.22916666666666666, 0.2760416666666667], "identity_acc": 0.20833333333333334, "rescue_at1": 0.046875, "harm_at1": 0.15104166666666666, "nonident_top1": 1.0}}, {"params": {"program": 48, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 19, 20, 21, 22, 23, 24, 25], "train_prior": 0.3434}, "val": {"pass_at": [0.041666666666666664, 0.10416666666666667, 0.19270833333333334, 0.22916666666666666, 0.2760416666666667], "identity_acc": 0.20833333333333334, "rescue_at1": 0.010416666666666666, "harm_at1": 0.17708333333333334, "nonident_top1": 1.0}}, {"params": {"program": 65, "layer_path": [0, 1, 2, 2, 3, 4, 5, 6, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.3307}, "val": {"pass_at": [0.11458333333333333, 0.15104166666666666, 0.23958333333333334, 0.2708333333333333, 0.2760416666666667], "identity_acc": 0.20833333333333334, "rescue_at1": 0.052083333333333336, "harm_at1": 0.14583333333333334, "nonident_top1": 1.0}}, {"params": {"program": 26, "layer_path": [0, 1, 2, 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.3221}, "val": {"pass_at": [0.09895833333333333, 0.15625, 0.234375, 0.265625, 0.2708333333333333], "identity_acc": 0.20833333333333334, "rescue_at1": 0.046875, "harm_at1": 0.15625, "nonident_top1": 1.0}}, {"params": {"program": 24, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 15, 16, 17, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.3179}, "val": {"pass_at": [0.13541666666666666, 0.19270833333333334, 0.2552083333333333, 0.28125, 0.2864583333333333], "identity_acc": 0.20833333333333334, "rescue_at1": 0.0625, "harm_at1": 0.13541666666666666, "nonident_top1": 1.0}}, {"params": {"program": 81, "layer_path": [0, 1, 2, 3, 4, 5, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 19, 20, 21, 22, 22, 23, 24, 24, 26, 27], "train_prior": 0.3076}, "val": {"pass_at": [0.041666666666666664, 0.078125, 0.18229166666666666, 0.22395833333333334, 0.22916666666666666], "identity_acc": 0.20833333333333334, "rescue_at1": 0.020833333333333332, "harm_at1": 0.1875, "nonident_top1": 1.0}}, {"params": {"program": 61, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 19, 21, 22, 23, 24, 25, 26], "train_prior": 0.3046}, "val": {"pass_at": [0.041666666666666664, 0.11458333333333333, 0.203125, 0.234375, 0.23958333333333334], "identity_acc": 0.20833333333333334, "rescue_at1": 0.015625, "harm_at1": 0.18229166666666666, "nonident_top1": 1.0}}, {"params": {"program": 51, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "train_prior": 0.2971}, "val": {"pass_at": [0.09895833333333333, 0.15625, 0.22916666666666666, 0.2604166666666667, 0.265625], "identity_acc": 0.20833333333333334, "rescue_at1": 0.036458333333333336, "harm_at1": 0.14583333333333334, "nonident_top1": 1.0}}, {"params": {"program": 54, "layer_path": [0, 1, 2, 3, 4, 5, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 21, 22, 23, 24, 24, 25, 26, 27], "train_prior": 0.2971}, "val": {"pass_at": [0.020833333333333332, 0.09375, 0.19791666666666666, 0.23958333333333334, 0.24479166666666666], "identity_acc": 0.20833333333333334, "rescue_at1": 0.010416666666666666, "harm_at1": 0.19791666666666666, "nonident_top1": 1.0}}, {"params": {"program": 55, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 10, 11, 12, 14, 15, 16, 17, 18, 19, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.2971}, "val": {"pass_at": [0.06770833333333333, 0.140625, 0.21875, 0.2604166666666667, 0.265625], "identity_acc": 0.20833333333333334, "rescue_at1": 0.026041666666666668, "harm_at1": 0.16666666666666666, "nonident_top1": 1.0}}, {"params": {"program": 71, "layer_path": [0, 1, 2, 3, 4, 5, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 19, 20, 21, 22, 23, 24, 25], "train_prior": 0.2955}, "val": {"pass_at": [0.057291666666666664, 0.10416666666666667, 0.19270833333333334, 0.22916666666666666, 0.234375], "identity_acc": 0.20833333333333334, "rescue_at1": 0.026041666666666668, "harm_at1": 0.17708333333333334, "nonident_top1": 1.0}}, {"params": {"program": 34, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 19, 20, 21, 22, 23, 24, 25, 26], "train_prior": 0.2946}, "val": {"pass_at": [0.07291666666666667, 0.13020833333333334, 0.21354166666666666, 0.25, 0.2552083333333333], "identity_acc": 0.20833333333333334, "rescue_at1": 0.026041666666666668, "harm_at1": 0.16145833333333334, "nonident_top1": 1.0}}, {"params": {"program": 59, "layer_path": [0, 1, 2, 3, 4, 5, 6, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 19, 20, 21, 22, 22, 23, 24, 25, 26, 27], "train_prior": 0.2929}, "val": {"pass_at": [0.078125, 0.125, 0.203125, 0.23958333333333334, 0.24479166666666666], "identity_acc": 0.20833333333333334, "rescue_at1": 0.020833333333333332, "harm_at1": 0.15104166666666666, "nonident_top1": 1.0}}, {"params": {"program": 96, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 21, 22, 23, 23, 24, 25, 27], "train_prior": 0.2884}, "val": {"pass_at": [0.036458333333333336, 0.10416666666666667, 0.203125, 0.234375, 0.23958333333333334], "identity_acc": 0.20833333333333334, "rescue_at1": 0.010416666666666666, "harm_at1": 0.18229166666666666, "nonident_top1": 1.0}}, {"params": {"program": 127, "layer_path": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.278}, "val": {"pass_at": [0.10416666666666667, 0.15625, 0.20833333333333334, 0.24479166666666666, 0.25], "identity_acc": 0.20833333333333334, "rescue_at1": 0.052083333333333336, "harm_at1": 0.15625, "nonident_top1": 1.0}}, {"params": {"program": 77, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 22, 23, 25, 26, 27], "train_prior": 0.2714}, "val": {"pass_at": [0.06770833333333333, 0.13020833333333334, 0.22395833333333334, 0.2552083333333333, 0.2604166666666667], "identity_acc": 0.20833333333333334, "rescue_at1": 0.03125, "harm_at1": 0.171875, "nonident_top1": 1.0}}, {"params": {"program": 94, "layer_path": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.2714}, "val": {"pass_at": [0.171875, 0.21875, 0.25, 0.28125, 0.2864583333333333], "identity_acc": 0.20833333333333334, "rescue_at1": 0.052083333333333336, "harm_at1": 0.08854166666666667, "nonident_top1": 1.0}}, {"params": {"program": 98, "layer_path": [0, 1, 2, 3, 4, 5, 6, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 19, 20, 21, 22, 22, 23, 24, 26, 27], "train_prior": 0.2714}, "val": {"pass_at": [0.07291666666666667, 0.13020833333333334, 0.19791666666666666, 0.23958333333333334, 0.24479166666666666], "identity_acc": 0.20833333333333334, "rescue_at1": 0.010416666666666666, "harm_at1": 0.14583333333333334, "nonident_top1": 1.0}}]}}}
polar_split/fixed_program/llama32_3b/polar_default/seed1/diff5/fold0.json ADDED
@@ -0,0 +1 @@
 
 
1
+ {"difficulty": 5, "menu_size": 112, "prompt_style": "raw", "samples": "/app/data/router_data/theirsplit_cv/l3b_lpselraws1_diff5_f0.json", "n": {"train": 986, "val": 197, "test": 394}, "methods": {"fixed": {"winner": {"program": 46, "layer_path": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.4584}, "val": {"pass_at": [0.27411167512690354, 0.29441624365482233, 0.3197969543147208, 0.3248730964467005, 0.3299492385786802], "identity_acc": 0.28426395939086296, "rescue_at1": 0.08121827411167512, "harm_at1": 0.09137055837563451, "nonident_top1": 1.0}, "test": {"pass_at": [0.233502538071066, 0.2715736040609137, 0.2969543147208122, 0.3147208121827411, 0.31725888324873097], "identity_acc": 0.25380710659898476, "rescue_at1": 0.06598984771573604, "harm_at1": 0.08629441624365482, "nonident_top1": 1.0, "mcnemar_p": 0.36629400670329104, "n_distinct_top1": 1, "top_nonidentity": [{"layer_path": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "n": 394}], "per_question": [{"query_id": "MATH/train/algebra/1109.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/6081.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/1316.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/1110.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1989.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1311.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1415.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2311.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/1361.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/6191.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/2325.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/geometry/168.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/914.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/21.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1725.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/675.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/561.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/661.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/1091.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/6222.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/5118.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/2563.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/107.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/83.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/geometry/6161.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/1407.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/2051.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1649.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/569.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/2414.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/5032.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/geometry/6023.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1614.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/897.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1380.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/geometry/6001.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/519.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/2117.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1629.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/5092.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/5034.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/640.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/541.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/893.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/926.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/1031.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/571.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1866.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/422.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/902.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/81.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/126.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/1112.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/536.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/921.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1366.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/9.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/5094.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1740.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/278.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/523.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1175.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/28.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/6151.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1675.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1149.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/1078.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/429.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/848.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/20.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/626.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2394.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/863.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/259.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/algebra/1296.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/5017.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1664.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/geometry/6004.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/geometry/937.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/geometry/6159.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/899.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/855.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/481.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/6232.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/641.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1663.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/435.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/813.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/305.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/1669.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/671.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/1382.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/257.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/5109.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/737.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/1000.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/707.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2550.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1280.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1216.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/2260.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/382.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/440.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/5009.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1672.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/24753.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/2110.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/5077.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/1183.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/algebra/418.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/861.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/geometry/531.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/5096.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/geometry/6145.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/geometry/6116.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/923.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1632.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/309.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/627.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1471.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1369.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/24565.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/24123.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1978.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/730.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/2538.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/622.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1668.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/5100.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1503.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/250.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/geometry/523.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/324.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1404.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1549.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/6177.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/444.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/1628.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/724.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/943.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1085.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/478.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/301.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1927.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2326.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/111.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/118.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/631.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/94.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2189.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/5093.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1575.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/669.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/5049.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/geometry/6070.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/6094.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/6097.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/algebra/888.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/361.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/geometry/6125.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/geometry/6203.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/geometry/1006.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/397.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/343.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/199.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/5119.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/geometry/960.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/571.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1903.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/6061.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2630.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/2056.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/geometry/6085.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1972.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/986.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/geometry/264.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/585.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1530.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1695.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1879.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/geometry/6210.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/53.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/6226.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/2012.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2077.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/789.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1844.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/5131.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/949.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1759.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1258.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/859.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/873.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/388.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1892.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/537.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/588.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/6091.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1983.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1752.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/794.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/25516.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/644.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/1040.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/geometry/241.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2451.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1710.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/433.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2353.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/978.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/715.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1578.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/25480.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/621.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/106.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/geometry/6211.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/5133.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/2026.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/507.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/912.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/348.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/1844.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/6154.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/25272.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/6162.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/1271.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/774.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/297.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/498.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/geometry/412.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/711.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/geometry/721.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/6016.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/2178.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1618.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/714.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/544.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/490.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/6237.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/9017.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/1029.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/5085.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1590.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2297.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2182.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/1952.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2472.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/5022.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/881.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/5090.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/geometry/6068.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1605.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/1027.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/1041.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2681.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/2133.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/335.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/geometry/6142.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/762.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/5042.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/6019.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/737.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1130.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1080.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1304.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/971.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/geometry/767.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/2306.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2484.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1867.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/2092.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1466.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/5107.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/483.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/25039.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/886.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1234.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1201.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/485.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/360.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/5087.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1200.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/371.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/6201.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/587.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2143.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1822.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/algebra/1146.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1554.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2424.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/909.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1688.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/6027.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2663.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2600.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/1278.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/457.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/228.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/5125.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/408.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/681.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/17.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1551.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/241.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/206.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/24954.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/6024.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1276.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/23.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2832.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/669.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/261.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/6133.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/geometry/939.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/28.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/603.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1327.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2835.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/746.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/25569.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/783.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1883.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/6208.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/geometry/6003.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/772.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/909.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/281.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2411.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/1705.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1711.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/235.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1226.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1915.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/2052.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/1029.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/350.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/325.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/2067.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1177.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/geometry/191.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/6144.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1346.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/111.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2483.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1086.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/502.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1367.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/1106.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/5116.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/957.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/algebra/2632.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/9008.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/923.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/1533.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/164.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/6181.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/2156.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/6039.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/689.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/401.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/37.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/443.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/5033.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2149.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/1024.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/957.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/1712.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1687.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/6227.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/geometry/758.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/786.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/2052.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/165.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/356.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/669.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/5005.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/1017.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/872.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/2055.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/88.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/114.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/geometry/680.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1649.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/5129.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/713.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1219.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1942.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/6174.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/25846.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/algebra/1725.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/99.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2020.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2423.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2479.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}]}, "all_val": [{"params": {"program": 38, "layer_path": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 24, 25, 26, 27], "train_prior": 0.481}, "val": {"pass_at": [0.07614213197969544, 0.29441624365482233, 0.3197969543147208, 0.3248730964467005, 0.3299492385786802], "identity_acc": 0.28426395939086296, "rescue_at1": 0.030456852791878174, "harm_at1": 0.23857868020304568, "nonident_top1": 1.0}}, {"params": {"program": 46, "layer_path": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.4584}, "val": {"pass_at": [0.27411167512690354, 0.29441624365482233, 0.3197969543147208, 0.3248730964467005, 0.3299492385786802], "identity_acc": 0.28426395939086296, "rescue_at1": 0.08121827411167512, "harm_at1": 0.09137055837563451, "nonident_top1": 1.0}}, {"params": {"program": 22, "layer_path": [0, 1, 2, 3, 4, 5, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 19, 20, 21, 22, 22, 23, 24, 26, 27], "train_prior": 0.4254}, "val": {"pass_at": [0.08629441624365482, 0.13705583756345177, 0.3197969543147208, 0.3248730964467005, 0.3299492385786802], "identity_acc": 0.28426395939086296, "rescue_at1": 0.02030456852791878, "harm_at1": 0.2182741116751269, "nonident_top1": 1.0}}, {"params": {"program": 23, "layer_path": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 23, 24, 25, 26, 27], "train_prior": 0.3951}, "val": {"pass_at": [0.07106598984771574, 0.1065989847715736, 0.29949238578680204, 0.3248730964467005, 0.3299492385786802], "identity_acc": 0.28426395939086296, "rescue_at1": 0.01015228426395939, "harm_at1": 0.2233502538071066, "nonident_top1": 1.0}}, {"params": {"program": 52, "layer_path": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 24, 25, 26, 27], "train_prior": 0.3884}, "val": {"pass_at": [0.07106598984771574, 0.09644670050761421, 0.29949238578680204, 0.3248730964467005, 0.3299492385786802], "identity_acc": 0.28426395939086296, "rescue_at1": 0.02030456852791878, "harm_at1": 0.233502538071066, "nonident_top1": 1.0}}, {"params": {"program": 14, "layer_path": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.3727}, "val": {"pass_at": [0.18781725888324874, 0.20304568527918782, 0.34517766497461927, 0.37055837563451777, 0.37055837563451777], "identity_acc": 0.28426395939086296, "rescue_at1": 0.06091370558375635, "harm_at1": 0.15736040609137056, "nonident_top1": 1.0}}, {"params": {"program": 44, "layer_path": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.3295}, "val": {"pass_at": [0.09137055837563451, 0.12690355329949238, 0.30456852791878175, 0.3248730964467005, 0.3299492385786802], "identity_acc": 0.28426395939086296, "rescue_at1": 0.01015228426395939, "harm_at1": 0.20304568527918782, "nonident_top1": 1.0}}, {"params": {"program": 54, "layer_path": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.328}, "val": {"pass_at": [0.1116751269035533, 0.14720812182741116, 0.3147208121827411, 0.3350253807106599, 0.3401015228426396], "identity_acc": 0.28426395939086296, "rescue_at1": 0.030456852791878174, "harm_at1": 0.20304568527918782, "nonident_top1": 1.0}}, {"params": {"program": 85, "layer_path": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.3246}, "val": {"pass_at": [0.16751269035532995, 0.20812182741116753, 0.34517766497461927, 0.36548223350253806, 0.36548223350253806], "identity_acc": 0.28426395939086296, "rescue_at1": 0.04568527918781726, "harm_at1": 0.16243654822335024, "nonident_top1": 1.0}}, {"params": {"program": 24, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 19, 20, 21, 22, 23, 24, 25, 26], "train_prior": 0.3197}, "val": {"pass_at": [0.09137055837563451, 0.14720812182741116, 0.30456852791878175, 0.3197969543147208, 0.3248730964467005], "identity_acc": 0.28426395939086296, "rescue_at1": 0.015228426395939087, "harm_at1": 0.20812182741116753, "nonident_top1": 1.0}}, {"params": {"program": 51, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 19, 21, 22, 23, 24, 25, 26], "train_prior": 0.3052}, "val": {"pass_at": [0.050761421319796954, 0.1116751269035533, 0.3096446700507614, 0.3248730964467005, 0.3299492385786802], "identity_acc": 0.28426395939086296, "rescue_at1": 0.01015228426395939, "harm_at1": 0.2436548223350254, "nonident_top1": 1.0}}, {"params": {"program": 73, "layer_path": [0, 1, 2, 3, 4, 5, 5, 7, 7, 8, 9, 11, 12, 14, 15, 15, 16, 18, 19, 20, 23, 24, 25, 26, 27], "train_prior": 0.303}, "val": {"pass_at": [0.015228426395939087, 0.08629441624365482, 0.29441624365482233, 0.3197969543147208, 0.3248730964467005], "identity_acc": 0.28426395939086296, "rescue_at1": 0.005076142131979695, "harm_at1": 0.27411167512690354, "nonident_top1": 1.0}}, {"params": {"program": 13, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 18, 19, 20, 21, 22, 23, 23, 24, 25, 26, 27], "train_prior": 0.302}, "val": {"pass_at": [0.08121827411167512, 0.1319796954314721, 0.3147208121827411, 0.3350253807106599, 0.3401015228426396], "identity_acc": 0.28426395939086296, "rescue_at1": 0.02030456852791878, "harm_at1": 0.2233502538071066, "nonident_top1": 1.0}}, {"params": {"program": 57, "layer_path": [0, 1, 2, 3, 4, 5, 6, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 19, 20, 21, 22, 22, 23, 24, 25, 26, 27], "train_prior": 0.2975}, "val": {"pass_at": [0.1065989847715736, 0.15228426395939088, 0.3248730964467005, 0.3248730964467005, 0.3299492385786802], "identity_acc": 0.28426395939086296, "rescue_at1": 0.030456852791878174, "harm_at1": 0.20812182741116753, "nonident_top1": 1.0}}, {"params": {"program": 63, "layer_path": [0, 1, 2, 2, 3, 4, 5, 6, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.2918}, "val": {"pass_at": [0.08629441624365482, 0.13705583756345177, 0.3197969543147208, 0.3350253807106599, 0.3401015228426396], "identity_acc": 0.28426395939086296, "rescue_at1": 0.030456852791878174, "harm_at1": 0.22842639593908629, "nonident_top1": 1.0}}, {"params": {"program": 60, "layer_path": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.2845}, "val": {"pass_at": [0.15228426395939088, 0.19289340101522842, 0.3350253807106599, 0.350253807106599, 0.350253807106599], "identity_acc": 0.28426395939086296, "rescue_at1": 0.04568527918781726, "harm_at1": 0.17766497461928935, "nonident_top1": 1.0}}, {"params": {"program": 70, "layer_path": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 14, 15, 16, 17, 18, 19, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.2772}, "val": {"pass_at": [0.1065989847715736, 0.14720812182741116, 0.3350253807106599, 0.3553299492385787, 0.3604060913705584], "identity_acc": 0.28426395939086296, "rescue_at1": 0.04568527918781726, "harm_at1": 0.2233502538071066, "nonident_top1": 1.0}}, {"params": {"program": 110, "layer_path": [0, 1, 2, 3, 4, 5, 5, 7, 8, 9, 11, 12, 14, 16, 18, 19, 19, 20, 23, 24, 25, 26, 27], "train_prior": 0.2726}, "val": {"pass_at": [0.005076142131979695, 0.07614213197969544, 0.29441624365482233, 0.3197969543147208, 0.3248730964467005], "identity_acc": 0.28426395939086296, "rescue_at1": 0.0, "harm_at1": 0.27918781725888325, "nonident_top1": 1.0}}, {"params": {"program": 83, "layer_path": [0, 1, 2, 2, 3, 4, 5, 6, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 19, 20, 21, 22, 23, 24, 24, 25, 26, 27], "train_prior": 0.2673}, "val": {"pass_at": [0.08121827411167512, 0.12690355329949238, 0.3096446700507614, 0.3248730964467005, 0.3299492385786802], "identity_acc": 0.28426395939086296, "rescue_at1": 0.02030456852791878, "harm_at1": 0.2233502538071066, "nonident_top1": 1.0}}, {"params": {"program": 28, "layer_path": [0, 1, 2, 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.2556}, "val": {"pass_at": [0.1218274111675127, 0.17258883248730963, 0.3147208121827411, 0.3350253807106599, 0.3401015228426396], "identity_acc": 0.28426395939086296, "rescue_at1": 0.03553299492385787, "harm_at1": 0.19796954314720813, "nonident_top1": 1.0}}]}}}
polar_split/fixed_program/llama32_3b/polar_default/seed1/diff5/fold1.json ADDED
@@ -0,0 +1 @@
 
 
1
+ {"difficulty": 5, "menu_size": 120, "prompt_style": "raw", "samples": "/app/data/router_data/theirsplit_cv/l3b_lpselraws1_diff5_f1.json", "n": {"train": 986, "val": 197, "test": 394}, "methods": {"fixed": {"winner": {"program": 37, "layer_path": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.524}, "val": {"pass_at": [0.26903553299492383, 0.3096446700507614, 0.3553299492385787, 0.36548223350253806, 0.37055837563451777], "identity_acc": 0.28426395939086296, "rescue_at1": 0.05583756345177665, "harm_at1": 0.07106598984771574, "nonident_top1": 1.0}, "test": {"pass_at": [0.23096446700507614, 0.2512690355329949, 0.2715736040609137, 0.28426395939086296, 0.2893401015228426], "identity_acc": 0.2817258883248731, "rescue_at1": 0.0583756345177665, "harm_at1": 0.10913705583756345, "nonident_top1": 1.0, "mcnemar_p": 0.018657260354021005, "n_distinct_top1": 1, "top_nonidentity": [{"layer_path": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "n": 394}], "per_question": [{"query_id": "MATH/train/counting_and_probability/26.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/6033.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/algebra/25266.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1099.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/6165.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/657.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/477.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/880.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/88.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2707.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2777.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2184.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/280.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1810.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/5026.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/346.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/472.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/644.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/5023.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1685.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/759.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1752.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/5.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1427.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/geometry/1022.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/geometry/6170.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/592.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/6192.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/1841.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/6176.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1631.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/6131.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/739.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/1585.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/geometry/6119.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/algebra/1087.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/883.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/953.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1590.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/1116.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/494.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/1882.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/527.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/algebra/900.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1523.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/344.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/6148.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/geometry/659.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/510.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2837.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/9005.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/1767.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/geometry/395.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/1760.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/450.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/249.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1798.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1773.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/949.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/geometry/6105.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1376.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/830.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/308.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/255.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/825.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/622.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1528.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1901.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/280.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/917.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/5111.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/2184.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/5120.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/912.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/229.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/1489.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/2102.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/1089.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/2366.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/609.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/5001.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/698.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/6175.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/408.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/352.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/2056.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/6049.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/geometry/608.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/436.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/geometry/6215.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/667.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/463.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/6074.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/831.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/988.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/32.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/1482.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/6095.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/1701.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/1876.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/geometry/652.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1161.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2533.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1690.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1787.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2510.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/801.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/806.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1016.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/600.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1673.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/5040.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/25426.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1009.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/714.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1652.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/5031.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1697.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/891.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/9014.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/6231.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/6228.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/1829.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/8.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/625.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/401.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2197.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1204.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/6132.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/835.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1562.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/629.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2356.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/966.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/6072.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/757.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/24678.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/1878.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/5123.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/1768.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/2028.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/6103.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/5016.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1530.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/1395.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1720.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/geometry/1055.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/6046.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/106.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/613.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2800.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1046.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1627.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/geometry/6193.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/480.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/380.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/6008.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/5053.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/1685.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/geometry/6006.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/2501.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1225.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/2270.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/515.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/5065.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1780.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1370.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/6204.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/778.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/geometry/938.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1918.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/749.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/900.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/geometry/6238.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/geometry/964.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/5091.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/356.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/324.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1013.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/495.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/473.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2290.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/6055.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2405.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/623.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/697.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1190.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/1074.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1512.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1320.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/676.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/133.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/968.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1072.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/638.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1274.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/635.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/1371.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/25287.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/458.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/2134.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/443.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/166.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/5008.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/276.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/6166.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/2032.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/5110.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/5050.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/1455.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/298.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/71.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/565.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/556.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/5043.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1575.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1595.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/6200.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2169.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1474.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/2159.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/864.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/6112.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1774.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/1274.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/778.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/algebra/1405.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/9028.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/658.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/146.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/469.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/24038.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/837.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/5010.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/750.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/780.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/550.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/1066.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/852.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/6188.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/1830.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/6155.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/geometry/815.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/821.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/197.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1673.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/1113.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/6062.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/902.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2113.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1894.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/41.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/314.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1935.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/262.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/977.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2647.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/569.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1938.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2418.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/25087.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/512.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/557.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/6214.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1285.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1177.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/1358.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/1267.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/756.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/839.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1641.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1112.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/5071.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/geometry/6223.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/798.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/597.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/geometry/6048.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1189.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2377.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1140.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1426.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/5018.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/6216.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/2734.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/56.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1483.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1822.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/5011.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/308.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/988.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/5007.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/6194.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/geometry/980.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/72.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1064.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/geometry/570.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1798.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/6124.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/108.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/688.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/1931.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/387.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/195.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/884.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/279.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1926.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/geometry/6209.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/1753.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/289.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/897.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/5134.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/6086.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/2000.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/geometry/6178.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/802.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/662.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/583.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/368.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/946.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/geometry/725.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/5086.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/1263.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/geometry/832.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/102.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/138.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/1853.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/665.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2611.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2666.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/184.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/1520.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/925.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/464.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/5083.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/1771.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/714.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/256.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/805.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/25250.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/42.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1304.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1620.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/708.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1968.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/geometry/1116.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2616.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/590.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/627.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/1681.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/6109.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1817.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/geometry/403.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/612.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/5069.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/87.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/25090.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1500.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/1267.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1377.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/937.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1184.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/117.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/6106.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/792.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/918.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/5106.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/2071.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/5021.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/140.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1640.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/640.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/geometry/369.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/1039.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/709.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/784.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/5108.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/2737.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/506.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1756.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/6115.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/498.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/geometry/6207.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/1978.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/868.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/211.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/816.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/100.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/algebra/2705.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1860.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/6011.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/5.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/algebra/1625.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/2138.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/910.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}]}, "all_val": [{"params": {"program": 37, "layer_path": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.524}, "val": {"pass_at": [0.26903553299492383, 0.3096446700507614, 0.3553299492385787, 0.36548223350253806, 0.37055837563451777], "identity_acc": 0.28426395939086296, "rescue_at1": 0.05583756345177665, "harm_at1": 0.07106598984771574, "nonident_top1": 1.0}}, {"params": {"program": 19, "layer_path": [0, 1, 2, 3, 4, 5, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 19, 20, 21, 22, 22, 23, 24, 26, 27], "train_prior": 0.4613}, "val": {"pass_at": [0.10152284263959391, 0.3096446700507614, 0.3553299492385787, 0.36548223350253806, 0.37055837563451777], "identity_acc": 0.28426395939086296, "rescue_at1": 0.030456852791878174, "harm_at1": 0.2131979695431472, "nonident_top1": 1.0}}, {"params": {"program": 44, "layer_path": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 24, 25, 26, 27], "train_prior": 0.4577}, "val": {"pass_at": [0.1218274111675127, 0.3197969543147208, 0.3553299492385787, 0.36548223350253806, 0.37055837563451777], "identity_acc": 0.28426395939086296, "rescue_at1": 0.04060913705583756, "harm_at1": 0.20304568527918782, "nonident_top1": 1.0}}, {"params": {"program": 22, "layer_path": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 23, 24, 25, 26, 27], "train_prior": 0.4485}, "val": {"pass_at": [0.1116751269035533, 0.29949238578680204, 0.3299492385786802, 0.36548223350253806, 0.37055837563451777], "identity_acc": 0.28426395939086296, "rescue_at1": 0.04060913705583756, "harm_at1": 0.2131979695431472, "nonident_top1": 1.0}}, {"params": {"program": 45, "layer_path": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 24, 25, 26, 27], "train_prior": 0.4142}, "val": {"pass_at": [0.07106598984771574, 0.29441624365482233, 0.3299492385786802, 0.3604060913705584, 0.37055837563451777], "identity_acc": 0.28426395939086296, "rescue_at1": 0.025380710659898477, "harm_at1": 0.23857868020304568, "nonident_top1": 1.0}}, {"params": {"program": 48, "layer_path": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.3876}, "val": {"pass_at": [0.19289340101522842, 0.3147208121827411, 0.3401015228426396, 0.38071065989847713, 0.39086294416243655], "identity_acc": 0.28426395939086296, "rescue_at1": 0.06091370558375635, "harm_at1": 0.15228426395939088, "nonident_top1": 1.0}}, {"params": {"program": 14, "layer_path": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.3782}, "val": {"pass_at": [0.2131979695431472, 0.34517766497461927, 0.37055837563451777, 0.39086294416243655, 0.4010152284263959], "identity_acc": 0.28426395939086296, "rescue_at1": 0.06091370558375635, "harm_at1": 0.1319796954314721, "nonident_top1": 1.0}}, {"params": {"program": 43, "layer_path": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.3509}, "val": {"pass_at": [0.1116751269035533, 0.30456852791878175, 0.3401015228426396, 0.3756345177664975, 0.38578680203045684], "identity_acc": 0.28426395939086296, "rescue_at1": 0.02030456852791878, "harm_at1": 0.19289340101522842, "nonident_top1": 1.0}}, {"params": {"program": 25, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 19, 20, 21, 22, 23, 24, 25, 26], "train_prior": 0.3309}, "val": {"pass_at": [0.10152284263959391, 0.28426395939086296, 0.3197969543147208, 0.3604060913705584, 0.37055837563451777], "identity_acc": 0.28426395939086296, "rescue_at1": 0.015228426395939087, "harm_at1": 0.19796954314720813, "nonident_top1": 1.0}}, {"params": {"program": 56, "layer_path": [0, 1, 2, 2, 3, 4, 5, 6, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.3264}, "val": {"pass_at": [0.10152284263959391, 0.29441624365482233, 0.3248730964467005, 0.37055837563451777, 0.38071065989847713], "identity_acc": 0.28426395939086296, "rescue_at1": 0.025380710659898477, "harm_at1": 0.20812182741116753, "nonident_top1": 1.0}}, {"params": {"program": 82, "layer_path": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.3234}, "val": {"pass_at": [0.2436548223350254, 0.36548223350253806, 0.38071065989847713, 0.40609137055837563, 0.41624365482233505], "identity_acc": 0.28426395939086296, "rescue_at1": 0.07106598984771574, "harm_at1": 0.1116751269035533, "nonident_top1": 1.0}}, {"params": {"program": 61, "layer_path": [0, 1, 2, 2, 3, 4, 5, 6, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 19, 20, 21, 22, 23, 24, 24, 25, 26, 27], "train_prior": 0.3071}, "val": {"pass_at": [0.09137055837563451, 0.29441624365482233, 0.3248730964467005, 0.36548223350253806, 0.3756345177664975], "identity_acc": 0.28426395939086296, "rescue_at1": 0.02030456852791878, "harm_at1": 0.2131979695431472, "nonident_top1": 1.0}}, {"params": {"program": 13, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 18, 19, 20, 21, 22, 23, 23, 24, 25, 26, 27], "train_prior": 0.3037}, "val": {"pass_at": [0.12690355329949238, 0.30456852791878175, 0.3401015228426396, 0.37055837563451777, 0.38071065989847713], "identity_acc": 0.28426395939086296, "rescue_at1": 0.02030456852791878, "harm_at1": 0.17766497461928935, "nonident_top1": 1.0}}, {"params": {"program": 62, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 19, 20, 21, 22, 23, 24, 27], "train_prior": 0.2909}, "val": {"pass_at": [0.07106598984771574, 0.2893401015228426, 0.3248730964467005, 0.37055837563451777, 0.38071065989847713], "identity_acc": 0.28426395939086296, "rescue_at1": 0.02030456852791878, "harm_at1": 0.233502538071066, "nonident_top1": 1.0}}, {"params": {"program": 29, "layer_path": [0, 1, 2, 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.2741}, "val": {"pass_at": [0.13705583756345177, 0.3096446700507614, 0.3299492385786802, 0.37055837563451777, 0.3756345177664975], "identity_acc": 0.28426395939086296, "rescue_at1": 0.050761421319796954, "harm_at1": 0.19796954314720813, "nonident_top1": 1.0}}, {"params": {"program": 91, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "train_prior": 0.2714}, "val": {"pass_at": [0.19796954314720813, 0.36548223350253806, 0.38578680203045684, 0.4213197969543147, 0.43147208121827413], "identity_acc": 0.28426395939086296, "rescue_at1": 0.07106598984771574, "harm_at1": 0.15736040609137056, "nonident_top1": 1.0}}, {"params": {"program": 105, "layer_path": [0, 1, 2, 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 19, 20, 21, 22, 23, 24, 24, 25, 26, 27], "train_prior": 0.2714}, "val": {"pass_at": [0.09137055837563451, 0.29949238578680204, 0.3350253807106599, 0.3756345177664975, 0.38071065989847713], "identity_acc": 0.28426395939086296, "rescue_at1": 0.030456852791878174, "harm_at1": 0.2233502538071066, "nonident_top1": 1.0}}, {"params": {"program": 118, "layer_path": [0, 1, 2, 3, 4, 5, 5, 7, 8, 9, 11, 12, 14, 16, 18, 19, 19, 20, 23, 24, 25, 26, 27], "train_prior": 0.2714}, "val": {"pass_at": [0.005076142131979695, 0.27411167512690354, 0.3147208121827411, 0.3604060913705584, 0.37055837563451777], "identity_acc": 0.28426395939086296, "rescue_at1": 0.005076142131979695, "harm_at1": 0.28426395939086296, "nonident_top1": 1.0}}, {"params": {"program": 53, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 19, 21, 22, 23, 24, 25, 26], "train_prior": 0.2688}, "val": {"pass_at": [0.09137055837563451, 0.29441624365482233, 0.3299492385786802, 0.37055837563451777, 0.38071065989847713], "identity_acc": 0.28426395939086296, "rescue_at1": 0.015228426395939087, "harm_at1": 0.20812182741116753, "nonident_top1": 1.0}}, {"params": {"program": 72, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 24, 25, 26, 27], "train_prior": 0.2663}, "val": {"pass_at": [0.12690355329949238, 0.3248730964467005, 0.350253807106599, 0.38578680203045684, 0.39593908629441626], "identity_acc": 0.28426395939086296, "rescue_at1": 0.03553299492385787, "harm_at1": 0.19289340101522842, "nonident_top1": 1.0}}]}}}
polar_split/fixed_program/llama32_3b/polar_default/seed1/diff5/fold2.json ADDED
@@ -0,0 +1 @@
 
 
1
+ {"difficulty": 5, "menu_size": 122, "prompt_style": "raw", "samples": "/app/data/router_data/theirsplit_cv/l3b_lpselraws1_diff5_f2.json", "n": {"train": 985, "val": 197, "test": 395}, "methods": {"fixed": {"winner": {"program": 44, "layer_path": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.4336}, "val": {"pass_at": [0.26903553299492383, 0.3096446700507614, 0.3553299492385787, 0.3756345177664975, 0.40609137055837563], "identity_acc": 0.28426395939086296, "rescue_at1": 0.05583756345177665, "harm_at1": 0.07106598984771574, "nonident_top1": 1.0}, "test": {"pass_at": [0.20506329113924052, 0.22784810126582278, 0.2607594936708861, 0.2759493670886076, 0.3240506329113924], "identity_acc": 0.26329113924050634, "rescue_at1": 0.060759493670886074, "harm_at1": 0.1189873417721519, "nonident_top1": 1.0, "mcnemar_p": 0.008554538502693427, "n_distinct_top1": 1, "top_nonidentity": [{"layer_path": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "n": 395}], "per_question": [{"query_id": "MATH/train/counting_and_probability/333.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1754.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/6118.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/5063.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/475.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/6197.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/1471.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1693.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1832.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1427.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1406.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/959.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1214.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/9010.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/geometry/6130.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/2013.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/geometry/237.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1420.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/5122.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/algebra/1743.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/360.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/1717.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2256.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/943.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/2052.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/6206.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/606.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2323.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1769.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/333.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/51.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1096.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/1040.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/670.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/6163.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/algebra/1479.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/5081.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/6114.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/236.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/921.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/984.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1975.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/728.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/595.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/943.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/algebra/2725.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/739.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/679.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/6199.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/1581.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/992.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/1963.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/285.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/810.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/2125.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1538.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/327.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/837.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/836.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1163.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1632.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1655.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/1393.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/1068.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/1013.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/71.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2689.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/9027.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/geometry/6010.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2452.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/24731.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/5038.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/300.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/algebra/24106.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/9003.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/596.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/197.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/801.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2033.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2812.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/359.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/5089.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/1684.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/941.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/687.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2225.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/387.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/940.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/5117.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/1116.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1830.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/431.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/45.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/631.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2340.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/638.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1831.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/252.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/690.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/495.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/559.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1746.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/265.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1235.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/2156.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/geometry/6180.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/24377.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1476.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/961.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/geometry/247.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/685.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1923.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/1033.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/6000.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1813.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/533.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/1130.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/geometry/1045.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2324.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/9018.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2339.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1941.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/709.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/709.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/652.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/612.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/185.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/809.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/108.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/219.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/algebra/521.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/50.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/664.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/251.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/403.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1045.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1324.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/564.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/451.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/2503.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/274.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/380.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/6190.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/5019.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/783.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/999.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/234.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/1094.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/191.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/geometry/6080.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1629.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/163.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2030.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/6052.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/729.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1670.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/9004.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/752.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/1691.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/480.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/723.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/1025.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/5132.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/geometry/6220.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/1048.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/1961.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1749.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2785.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/5035.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/1021.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1426.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/geometry/277.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/5028.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/6065.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/896.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/geometry/6217.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1075.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1041.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/9021.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/9000.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/189.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2385.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/6202.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/566.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/522.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/324.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1211.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/854.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1059.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1946.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2508.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/1889.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1347.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1183.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/623.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1384.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/219.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/2054.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/769.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/26.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1677.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/278.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2282.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1802.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/703.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/177.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/826.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/geometry/6069.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/1344.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2275.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/6073.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/6185.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/514.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/algebra/179.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/913.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/176.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/geometry/915.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1271.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/596.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1816.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/988.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/geometry/6093.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/775.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/geometry/666.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/2086.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/854.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/geometry/6168.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/6078.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1691.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/874.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/424.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/19.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/geometry/983.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/1393.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/605.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/323.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/815.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1782.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/24079.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1062.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/743.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/789.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/25349.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/2349.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/999.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/9023.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1513.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1501.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1337.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/geometry/839.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/1324.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/1648.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/473.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/geometry/6051.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/geometry/793.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/552.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/6129.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/362.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/2770.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/207.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1076.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2601.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1516.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/2105.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/298.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/1741.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/9015.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/570.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/462.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2507.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/286.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1740.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/geometry/604.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/geometry/6041.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/geometry/6117.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/769.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/5064.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/611.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/2009.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1753.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/5039.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/1276.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/215.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/645.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/848.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/1353.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/375.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1004.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/geometry/955.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/77.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/9006.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/960.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/2055.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/200.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1404.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2208.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/152.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1205.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/156.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/geometry/6032.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1261.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/587.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/geometry/720.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2718.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/355.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/1061.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1532.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1257.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/733.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/517.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/787.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/213.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/1666.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1236.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1381.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/2005.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/1843.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1206.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/651.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/6015.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2834.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/5048.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1768.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1513.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1533.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/978.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/932.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/173.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1137.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/172.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1693.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1868.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1167.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1152.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/984.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1110.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/657.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1929.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/6113.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2713.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1027.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1818.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/357.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/1726.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/geometry/490.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/6012.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/692.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/2001.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/2344.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1722.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/11.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/479.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/973.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/615.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/geometry/6087.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/1147.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/72.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/9.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/6230.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/1514.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/146.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/89.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/2028.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/121.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/9016.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/geometry/6189.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/367.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/5062.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/157.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/558.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/2097.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/6164.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/1110.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1039.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/geometry/6225.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/599.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1412.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1833.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/6075.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/9024.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/112.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/395.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1264.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1319.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/85.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2142.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1835.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/217.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/411.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1925.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/436.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2833.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1815.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/760.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/algebra/1555.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}]}, "all_val": [{"params": {"program": 22, "layer_path": [0, 1, 2, 3, 4, 5, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 19, 20, 21, 22, 22, 23, 24, 26, 27], "train_prior": 0.489}, "val": {"pass_at": [0.10152284263959391, 0.3096446700507614, 0.3553299492385787, 0.3756345177664975, 0.40609137055837563], "identity_acc": 0.28426395939086296, "rescue_at1": 0.030456852791878174, "harm_at1": 0.2131979695431472, "nonident_top1": 1.0}}, {"params": {"program": 44, "layer_path": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.4336}, "val": {"pass_at": [0.26903553299492383, 0.3096446700507614, 0.3553299492385787, 0.3756345177664975, 0.40609137055837563], "identity_acc": 0.28426395939086296, "rescue_at1": 0.05583756345177665, "harm_at1": 0.07106598984771574, "nonident_top1": 1.0}}, {"params": {"program": 43, "layer_path": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 24, 25, 26, 27], "train_prior": 0.4148}, "val": {"pass_at": [0.1218274111675127, 0.18274111675126903, 0.3553299492385787, 0.3756345177664975, 0.40609137055837563], "identity_acc": 0.28426395939086296, "rescue_at1": 0.04060913705583756, "harm_at1": 0.20304568527918782, "nonident_top1": 1.0}}, {"params": {"program": 38, "layer_path": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.3979}, "val": {"pass_at": [0.1116751269035533, 0.17258883248730963, 0.3401015228426396, 0.3756345177664975, 0.40609137055837563], "identity_acc": 0.28426395939086296, "rescue_at1": 0.02030456852791878, "harm_at1": 0.19289340101522842, "nonident_top1": 1.0}}, {"params": {"program": 14, "layer_path": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.3942}, "val": {"pass_at": [0.2131979695431472, 0.25888324873096447, 0.37055837563451777, 0.39086294416243655, 0.40609137055837563], "identity_acc": 0.28426395939086296, "rescue_at1": 0.06091370558375635, "harm_at1": 0.1319796954314721, "nonident_top1": 1.0}}, {"params": {"program": 51, "layer_path": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.3882}, "val": {"pass_at": [0.16751269035532995, 0.19796954314720813, 0.34517766497461927, 0.38071065989847713, 0.39593908629441626], "identity_acc": 0.28426395939086296, "rescue_at1": 0.050761421319796954, "harm_at1": 0.16751269035532995, "nonident_top1": 1.0}}, {"params": {"program": 70, "layer_path": [0, 1, 2, 3, 4, 5, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 19, 20, 21, 22, 22, 23, 24, 25, 25, 26, 27], "train_prior": 0.3693}, "val": {"pass_at": [0.09137055837563451, 0.14213197969543148, 0.3248730964467005, 0.36548223350253806, 0.38578680203045684], "identity_acc": 0.28426395939086296, "rescue_at1": 0.030456852791878174, "harm_at1": 0.2233502538071066, "nonident_top1": 1.0}}, {"params": {"program": 26, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 19, 20, 21, 22, 23, 24, 25, 26], "train_prior": 0.3508}, "val": {"pass_at": [0.10152284263959391, 0.15736040609137056, 0.3197969543147208, 0.3604060913705584, 0.38071065989847713], "identity_acc": 0.28426395939086296, "rescue_at1": 0.015228426395939087, "harm_at1": 0.19796954314720813, "nonident_top1": 1.0}}, {"params": {"program": 53, "layer_path": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.3427}, "val": {"pass_at": [0.19289340101522842, 0.23857868020304568, 0.3401015228426396, 0.38071065989847713, 0.39086294416243655], "identity_acc": 0.28426395939086296, "rescue_at1": 0.06091370558375635, "harm_at1": 0.15228426395939088, "nonident_top1": 1.0}}, {"params": {"program": 25, "layer_path": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 23, 24, 25, 26, 27], "train_prior": 0.3373}, "val": {"pass_at": [0.1116751269035533, 0.16243654822335024, 0.3299492385786802, 0.36548223350253806, 0.38578680203045684], "identity_acc": 0.28426395939086296, "rescue_at1": 0.04060913705583756, "harm_at1": 0.2131979695431472, "nonident_top1": 1.0}}, {"params": {"program": 52, "layer_path": [0, 1, 2, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 19, 20, 21, 22, 23, 24, 25, 26], "train_prior": 0.3278}, "val": {"pass_at": [0.15736040609137056, 0.18781725888324874, 0.3553299492385787, 0.39593908629441626, 0.41624365482233505], "identity_acc": 0.28426395939086296, "rescue_at1": 0.050761421319796954, "harm_at1": 0.17766497461928935, "nonident_top1": 1.0}}, {"params": {"program": 74, "layer_path": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 13, 14, 15, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.3258}, "val": {"pass_at": [0.10152284263959391, 0.15736040609137056, 0.3197969543147208, 0.36548223350253806, 0.38071065989847713], "identity_acc": 0.28426395939086296, "rescue_at1": 0.02030456852791878, "harm_at1": 0.20304568527918782, "nonident_top1": 1.0}}, {"params": {"program": 82, "layer_path": [0, 1, 2, 3, 4, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.3242}, "val": {"pass_at": [0.07106598984771574, 0.13705583756345177, 0.3248730964467005, 0.37055837563451777, 0.39086294416243655], "identity_acc": 0.28426395939086296, "rescue_at1": 0.02030456852791878, "harm_at1": 0.233502538071066, "nonident_top1": 1.0}}, {"params": {"program": 84, "layer_path": [0, 1, 2, 3, 4, 5, 6, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 19, 20, 21, 22, 22, 23, 24, 26, 27], "train_prior": 0.3242}, "val": {"pass_at": [0.1218274111675127, 0.16751269035532995, 0.3553299492385787, 0.38578680203045684, 0.4010152284263959], "identity_acc": 0.28426395939086296, "rescue_at1": 0.04568527918781726, "harm_at1": 0.20812182741116753, "nonident_top1": 1.0}}, {"params": {"program": 28, "layer_path": [0, 1, 2, 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.3237}, "val": {"pass_at": [0.13705583756345177, 0.18781725888324874, 0.3299492385786802, 0.37055837563451777, 0.38071065989847713], "identity_acc": 0.28426395939086296, "rescue_at1": 0.050761421319796954, "harm_at1": 0.19796954314720813, "nonident_top1": 1.0}}, {"params": {"program": 13, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 18, 19, 20, 21, 22, 23, 23, 24, 25, 26, 27], "train_prior": 0.3231}, "val": {"pass_at": [0.12690355329949238, 0.17766497461928935, 0.3401015228426396, 0.37055837563451777, 0.38578680203045684], "identity_acc": 0.28426395939086296, "rescue_at1": 0.02030456852791878, "harm_at1": 0.17766497461928935, "nonident_top1": 1.0}}, {"params": {"program": 64, "layer_path": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 24, 25, 26, 27], "train_prior": 0.3077}, "val": {"pass_at": [0.07106598984771574, 0.14213197969543148, 0.3299492385786802, 0.3604060913705584, 0.38071065989847713], "identity_acc": 0.28426395939086296, "rescue_at1": 0.025380710659898477, "harm_at1": 0.23857868020304568, "nonident_top1": 1.0}}, {"params": {"program": 67, "layer_path": [0, 1, 2, 2, 3, 4, 5, 6, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.2915}, "val": {"pass_at": [0.10152284263959391, 0.15736040609137056, 0.3248730964467005, 0.37055837563451777, 0.39086294416243655], "identity_acc": 0.28426395939086296, "rescue_at1": 0.025380710659898477, "harm_at1": 0.20812182741116753, "nonident_top1": 1.0}}, {"params": {"program": 54, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 10, 11, 12, 14, 15, 16, 17, 18, 19, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.29}, "val": {"pass_at": [0.08629441624365482, 0.14720812182741116, 0.3401015228426396, 0.38578680203045684, 0.4010152284263959], "identity_acc": 0.28426395939086296, "rescue_at1": 0.02030456852791878, "harm_at1": 0.2182741116751269, "nonident_top1": 1.0}}, {"params": {"program": 29, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 15, 16, 17, 17, 18, 19, 20, 21, 22, 23, 24, 25, 25, 26, 27], "train_prior": 0.2763}, "val": {"pass_at": [0.1218274111675127, 0.17258883248730963, 0.350253807106599, 0.39086294416243655, 0.4010152284263959], "identity_acc": 0.28426395939086296, "rescue_at1": 0.025380710659898477, "harm_at1": 0.18781725888324874, "nonident_top1": 1.0}}]}}}
polar_split/fixed_program/llama32_3b/polar_default/seed1/diff5/fold3.json ADDED
@@ -0,0 +1 @@
 
 
1
+ {"difficulty": 5, "menu_size": 120, "prompt_style": "raw", "samples": "/app/data/router_data/theirsplit_cv/l3b_lpselraws1_diff5_f3.json", "n": {"train": 986, "val": 197, "test": 394}, "methods": {"fixed": {"winner": {"program": 44, "layer_path": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.4154}, "val": {"pass_at": [0.26903553299492383, 0.3197969543147208, 0.3299492385786802, 0.34517766497461927, 0.37055837563451777], "identity_acc": 0.28426395939086296, "rescue_at1": 0.05583756345177665, "harm_at1": 0.07106598984771574, "nonident_top1": 1.0}, "test": {"pass_at": [0.2182741116751269, 0.23857868020304568, 0.2563451776649746, 0.2817258883248731, 0.3020304568527919], "identity_acc": 0.2436548223350254, "rescue_at1": 0.050761421319796954, "harm_at1": 0.07614213197969544, "nonident_top1": 1.0, "mcnemar_p": 0.20263875106454066, "n_distinct_top1": 1, "top_nonidentity": [{"layer_path": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "n": 394}], "per_question": [{"query_id": "MATH/train/geometry/6173.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/1149.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/625.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1434.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1654.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/236.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/geometry/1132.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/870.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/951.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/98.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2309.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2387.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/6139.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/718.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/1037.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/geometry/6104.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/766.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1940.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1490.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/626.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/847.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1654.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/9013.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/914.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/68.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/641.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/2521.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/792.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/geometry/6079.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/482.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/597.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/889.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/268.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/390.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/5095.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/1607.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1536.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/1137.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/630.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/544.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/1136.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/61.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/243.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2750.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/25835.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/algebra/1131.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/483.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/184.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/6005.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/976.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/601.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1659.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/geometry/595.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/geometry/6198.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/geometry/703.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/831.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/529.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/9002.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/540.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/90.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1864.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/5056.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/947.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/1589.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1618.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1320.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/5121.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/algebra/2825.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2432.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/25484.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1432.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/253.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/5045.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1554.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/6235.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/5113.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/1501.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2067.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/6082.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/geometry/885.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2315.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/648.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/5124.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/768.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/868.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/516.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/24553.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/74.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2301.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/618.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1534.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/1024.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/algebra/1204.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/1057.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1030.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/686.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/6149.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/6099.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1216.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/2524.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/2086.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/64.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/72.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/geometry/614.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1671.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/125.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/890.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/1020.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/11.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/265.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/0.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/460.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1887.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1006.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/1531.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/6221.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/298.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/938.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/1823.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/6219.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/417.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1642.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/6150.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/581.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/6100.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1505.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/9020.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1946.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/geometry/6013.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/539.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/9001.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/187.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/463.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/331.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/1100.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/algebra/767.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/291.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1021.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2060.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/6137.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/geometry/6057.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/745.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2528.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/730.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/856.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/235.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/448.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/428.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/543.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/355.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/geometry/954.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/466.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/254.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/5128.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1361.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/algebra/1638.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/1111.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/204.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/688.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/1186.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1883.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/2801.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1110.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/99.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/6060.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/2077.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/9029.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/877.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/1309.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1957.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/6122.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/848.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1192.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/555.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/6212.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/312.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2449.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/758.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1559.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/232.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/372.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/306.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1758.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/445.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/463.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1964.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/836.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/444.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1322.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/871.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1604.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1738.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/403.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1573.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/807.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1233.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1406.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/629.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/geometry/620.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/324.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/736.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/9022.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1947.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/167.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1935.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/63.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2322.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/727.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/geometry/6171.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/171.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/algebra/1388.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/626.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1808.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/1022.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/934.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2494.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/691.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/788.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1378.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/490.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1550.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2436.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/572.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/416.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/225.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2463.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/2038.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/503.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/720.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/886.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/algebra/24942.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1452.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/724.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/1369.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/443.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1624.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/88.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/2014.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/1637.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/143.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/2698.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/701.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/643.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/6172.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/731.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/477.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/589.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/161.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2440.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/5103.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1269.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/5004.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/739.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/1109.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/825.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/217.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2434.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/341.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/1.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2073.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/geometry/428.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/18.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/9009.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1028.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/108.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/geometry/6229.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/5114.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/2090.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/6152.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/2194.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1357.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/1091.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/398.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/1464.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/5115.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/1509.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/755.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/607.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1498.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/1683.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/1795.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/519.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1571.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2733.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/25220.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1334.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/2194.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/1926.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/889.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/5057.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/982.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/597.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1515.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/712.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/732.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/682.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/609.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/5000.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/2032.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/917.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/995.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/310.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2222.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/6218.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/581.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/2176.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1728.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/455.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/925.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/1675.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/1079.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1736.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/24945.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1911.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/617.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/1771.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/741.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/239.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1058.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1287.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/955.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/2057.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2210.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/6224.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/1694.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2625.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/460.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/174.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1944.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/758.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1819.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1853.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/1017.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/456.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/5006.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/108.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/1086.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/596.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1011.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/782.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/1205.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/203.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/6090.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/318.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2263.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1200.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1745.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/1816.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/5061.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1443.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/6213.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/910.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1789.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/932.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/9007.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/579.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/911.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/6195.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/geometry/390.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2317.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/188.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/850.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/1058.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/1500.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1972.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/454.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2308.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/873.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2699.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/415.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1887.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1594.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/5027.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/695.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2281.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/723.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2591.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/5130.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2589.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1251.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/113.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/2122.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/44.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/893.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/773.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/6111.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/989.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1343.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/5054.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/1583.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/6156.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/751.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/6047.json", "top1": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}]}, "all_val": [{"params": {"program": 42, "layer_path": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 24, 25, 26, 27], "train_prior": 0.5026}, "val": {"pass_at": [0.1218274111675127, 0.14213197969543148, 0.3299492385786802, 0.34517766497461927, 0.37055837563451777], "identity_acc": 0.28426395939086296, "rescue_at1": 0.04060913705583756, "harm_at1": 0.20304568527918782, "nonident_top1": 1.0}}, {"params": {"program": 49, "layer_path": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 24, 25, 26, 27], "train_prior": 0.4503}, "val": {"pass_at": [0.07106598984771574, 0.14213197969543148, 0.3299492385786802, 0.34517766497461927, 0.37055837563451777], "identity_acc": 0.28426395939086296, "rescue_at1": 0.025380710659898477, "harm_at1": 0.23857868020304568, "nonident_top1": 1.0}}, {"params": {"program": 44, "layer_path": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.4154}, "val": {"pass_at": [0.26903553299492383, 0.3197969543147208, 0.3299492385786802, 0.34517766497461927, 0.37055837563451777], "identity_acc": 0.28426395939086296, "rescue_at1": 0.05583756345177665, "harm_at1": 0.07106598984771574, "nonident_top1": 1.0}}, {"params": {"program": 62, "layer_path": [0, 1, 2, 3, 4, 5, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 19, 20, 21, 22, 22, 23, 24, 25, 25, 26, 27], "train_prior": 0.4097}, "val": {"pass_at": [0.09137055837563451, 0.16751269035532995, 0.18274111675126903, 0.34517766497461927, 0.37055837563451777], "identity_acc": 0.28426395939086296, "rescue_at1": 0.030456852791878174, "harm_at1": 0.2233502538071066, "nonident_top1": 1.0}}, {"params": {"program": 25, "layer_path": [0, 1, 2, 3, 4, 5, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 19, 20, 21, 22, 22, 23, 24, 26, 27], "train_prior": 0.3991}, "val": {"pass_at": [0.10152284263959391, 0.18274111675126903, 0.19796954314720813, 0.3604060913705584, 0.37055837563451777], "identity_acc": 0.28426395939086296, "rescue_at1": 0.030456852791878174, "harm_at1": 0.2131979695431472, "nonident_top1": 1.0}}, {"params": {"program": 54, "layer_path": [0, 1, 2, 2, 3, 4, 5, 6, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.3777}, "val": {"pass_at": [0.10152284263959391, 0.17766497461928935, 0.19796954314720813, 0.350253807106599, 0.36548223350253806], "identity_acc": 0.28426395939086296, "rescue_at1": 0.025380710659898477, "harm_at1": 0.20812182741116753, "nonident_top1": 1.0}}, {"params": {"program": 50, "layer_path": [0, 1, 2, 2, 3, 4, 5, 4, 5, 6, 7, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.372}, "val": {"pass_at": [0.19289340101522842, 0.2639593908629442, 0.27411167512690354, 0.3604060913705584, 0.3756345177664975], "identity_acc": 0.28426395939086296, "rescue_at1": 0.06091370558375635, "harm_at1": 0.15228426395939088, "nonident_top1": 1.0}}, {"params": {"program": 24, "layer_path": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 23, 24, 25, 26, 27], "train_prior": 0.3555}, "val": {"pass_at": [0.1116751269035533, 0.18274111675126903, 0.19289340101522842, 0.34517766497461927, 0.3604060913705584], "identity_acc": 0.28426395939086296, "rescue_at1": 0.04060913705583756, "harm_at1": 0.2131979695431472, "nonident_top1": 1.0}}, {"params": {"program": 70, "layer_path": [0, 1, 2, 2, 3, 4, 5, 6, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 19, 20, 21, 22, 23, 24, 24, 25, 26, 27], "train_prior": 0.3472}, "val": {"pass_at": [0.09137055837563451, 0.15228426395939088, 0.17258883248730963, 0.34517766497461927, 0.3604060913705584], "identity_acc": 0.28426395939086296, "rescue_at1": 0.02030456852791878, "harm_at1": 0.2131979695431472, "nonident_top1": 1.0}}, {"params": {"program": 26, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 15, 16, 17, 17, 18, 19, 20, 21, 22, 23, 24, 25, 25, 26, 27], "train_prior": 0.3374}, "val": {"pass_at": [0.1218274111675127, 0.20812182741116753, 0.2182741116751269, 0.36548223350253806, 0.38071065989847713], "identity_acc": 0.28426395939086296, "rescue_at1": 0.025380710659898477, "harm_at1": 0.18781725888324874, "nonident_top1": 1.0}}, {"params": {"program": 87, "layer_path": [0, 1, 2, 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 19, 20, 21, 22, 23, 24, 24, 25, 26, 27], "train_prior": 0.3254}, "val": {"pass_at": [0.09137055837563451, 0.17258883248730963, 0.19289340101522842, 0.350253807106599, 0.36548223350253806], "identity_acc": 0.28426395939086296, "rescue_at1": 0.030456852791878174, "harm_at1": 0.2233502538071066, "nonident_top1": 1.0}}, {"params": {"program": 15, "layer_path": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.3242}, "val": {"pass_at": [0.2131979695431472, 0.25380710659898476, 0.25888324873096447, 0.36548223350253806, 0.38071065989847713], "identity_acc": 0.28426395939086296, "rescue_at1": 0.06091370558375635, "harm_at1": 0.1319796954314721, "nonident_top1": 1.0}}, {"params": {"program": 27, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 15, 16, 17, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.3192}, "val": {"pass_at": [0.15228426395939088, 0.2182741116751269, 0.233502538071066, 0.37055837563451777, 0.38578680203045684], "identity_acc": 0.28426395939086296, "rescue_at1": 0.04060913705583756, "harm_at1": 0.17258883248730963, "nonident_top1": 1.0}}, {"params": {"program": 53, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "train_prior": 0.3148}, "val": {"pass_at": [0.19796954314720813, 0.23857868020304568, 0.2436548223350254, 0.38071065989847713, 0.39593908629441626], "identity_acc": 0.28426395939086296, "rescue_at1": 0.050761421319796954, "harm_at1": 0.13705583756345177, "nonident_top1": 1.0}}, {"params": {"program": 55, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 19, 20, 21, 22, 23, 24, 27], "train_prior": 0.3148}, "val": {"pass_at": [0.07106598984771574, 0.16243654822335024, 0.18274111675126903, 0.350253807106599, 0.3604060913705584], "identity_acc": 0.28426395939086296, "rescue_at1": 0.02030456852791878, "harm_at1": 0.233502538071066, "nonident_top1": 1.0}}, {"params": {"program": 76, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "train_prior": 0.3037}, "val": {"pass_at": [0.19796954314720813, 0.25888324873096447, 0.27411167512690354, 0.40609137055837563, 0.41624365482233505], "identity_acc": 0.28426395939086296, "rescue_at1": 0.07106598984771574, "harm_at1": 0.15736040609137056, "nonident_top1": 1.0}}, {"params": {"program": 80, "layer_path": [0, 1, 2, 2, 3, 4, 5, 6, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 16, 17, 18, 19, 19, 20, 21, 22, 23, 24, 24, 25, 26, 27], "train_prior": 0.3037}, "val": {"pass_at": [0.05583756345177665, 0.16751269035532995, 0.18781725888324874, 0.3604060913705584, 0.3756345177664975], "identity_acc": 0.28426395939086296, "rescue_at1": 0.015228426395939087, "harm_at1": 0.2436548223350254, "nonident_top1": 1.0}}, {"params": {"program": 83, "layer_path": [0, 1, 2, 3, 4, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.3037}, "val": {"pass_at": [0.07106598984771574, 0.16243654822335024, 0.18274111675126903, 0.350253807106599, 0.36548223350253806], "identity_acc": 0.28426395939086296, "rescue_at1": 0.02030456852791878, "harm_at1": 0.233502538071066, "nonident_top1": 1.0}}, {"params": {"program": 56, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 19, 21, 22, 23, 24, 25, 26], "train_prior": 0.3022}, "val": {"pass_at": [0.09137055837563451, 0.16751269035532995, 0.18781725888324874, 0.350253807106599, 0.36548223350253806], "identity_acc": 0.28426395939086296, "rescue_at1": 0.015228426395939087, "harm_at1": 0.20812182741116753, "nonident_top1": 1.0}}, {"params": {"program": 13, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 18, 19, 20, 21, 22, 23, 23, 24, 25, 26, 27], "train_prior": 0.2979}, "val": {"pass_at": [0.12690355329949238, 0.18274111675126903, 0.20304568527918782, 0.34517766497461927, 0.3604060913705584], "identity_acc": 0.28426395939086296, "rescue_at1": 0.02030456852791878, "harm_at1": 0.17766497461928935, "nonident_top1": 1.0}}]}}}
polar_split/fixed_program/llama32_3b/polar_default/seed42/diff1/fold0.json ADDED
@@ -0,0 +1 @@
 
 
1
+ {"difficulty": 1, "menu_size": 122, "prompt_style": "raw", "samples": "/app/data/router_data/theirsplit_cv/l3b_lpselraw_diff1_f0.json", "n": {"train": 353, "val": 71, "test": 141}, "methods": {"fixed": {"winner": {"program": 16, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "train_prior": 0.5806}, "val": {"pass_at": [0.29577464788732394, 0.36619718309859156, 0.4225352112676056, 0.4647887323943662, 0.4788732394366197], "identity_acc": 0.352112676056338, "rescue_at1": 0.07042253521126761, "harm_at1": 0.1267605633802817, "nonident_top1": 1.0}, "test": {"pass_at": [0.3120567375886525, 0.41134751773049644, 0.5035460992907801, 0.524822695035461, 0.5390070921985816], "identity_acc": 0.36879432624113473, "rescue_at1": 0.06382978723404255, "harm_at1": 0.12056737588652482, "nonident_top1": 1.0, "mcnemar_p": 0.16863754391670227, "n_distinct_top1": 1, "top_nonidentity": [{"layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "n": 141}], "per_question": [{"query_id": "MATH/train/prealgebra/451.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/number_theory/519.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1875.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/geometry/436.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1067.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/541.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/974.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/828.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/geometry/471.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1696.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/238.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/82.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/829.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/667.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/algebra/1769.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/973.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/110.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/46.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2360.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/precalculus/856.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/847.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/963.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/835.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1038.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1573.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/584.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1323.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/358.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/954.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/111.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/139.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/1140.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/506.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/2771.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/61.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/692.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/precalculus/208.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/2633.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/15.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/481.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/535.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/780.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/57.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/178.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/200.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/2047.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/13.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/precalculus/236.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/905.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/2585.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/556.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/287.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2790.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/285.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/geometry/7.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/312.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1948.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/1429.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/223.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/735.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2614.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/814.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/1643.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/70.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/1821.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/576.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/803.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/2730.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/140.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/36.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/83.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1688.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/geometry/768.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2724.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2350.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/304.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/576.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/geometry/748.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/168.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/446.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/159.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1852.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/689.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/606.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/2039.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/number_theory/1031.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/1925.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/272.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1398.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/1317.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/171.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1450.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/1745.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1896.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/552.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/1636.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/792.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2179.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/828.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/136.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1076.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1400.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/precalculus/678.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/1.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1172.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/255.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/2781.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/643.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/77.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/189.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/624.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1077.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/181.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/472.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/49.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/25.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/563.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/342.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/20.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1391.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2703.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/497.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/12.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/806.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/991.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/1413.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/1744.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/525.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2514.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1857.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2673.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/310.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/1106.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/precalculus/163.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2448.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/185.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/538.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/number_theory/260.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/1290.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/186.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/749.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}]}, "all_val": [{"params": {"program": 9, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "train_prior": 0.6494}, "val": {"pass_at": [0.2676056338028169, 0.36619718309859156, 0.4225352112676056, 0.4647887323943662, 0.4788732394366197], "identity_acc": 0.352112676056338, "rescue_at1": 0.028169014084507043, "harm_at1": 0.11267605633802817, "nonident_top1": 1.0}}, {"params": {"program": 16, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "train_prior": 0.5806}, "val": {"pass_at": [0.29577464788732394, 0.36619718309859156, 0.4225352112676056, 0.4647887323943662, 0.4788732394366197], "identity_acc": 0.352112676056338, "rescue_at1": 0.07042253521126761, "harm_at1": 0.1267605633802817, "nonident_top1": 1.0}}, {"params": {"program": 29, "layer_path": [0, 1, 2, 3, 3, 4, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.5112}, "val": {"pass_at": [0.23943661971830985, 0.36619718309859156, 0.4225352112676056, 0.4647887323943662, 0.4788732394366197], "identity_acc": 0.352112676056338, "rescue_at1": 0.028169014084507043, "harm_at1": 0.14084507042253522, "nonident_top1": 1.0}}, {"params": {"program": 17, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "train_prior": 0.4939}, "val": {"pass_at": [0.28169014084507044, 0.36619718309859156, 0.4084507042253521, 0.4647887323943662, 0.4788732394366197], "identity_acc": 0.352112676056338, "rescue_at1": 0.08450704225352113, "harm_at1": 0.15492957746478872, "nonident_top1": 1.0}}, {"params": {"program": 25, "layer_path": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.4889}, "val": {"pass_at": [0.28169014084507044, 0.38028169014084506, 0.43661971830985913, 0.43661971830985913, 0.4788732394366197], "identity_acc": 0.352112676056338, "rescue_at1": 0.04225352112676056, "harm_at1": 0.11267605633802817, "nonident_top1": 1.0}}, {"params": {"program": 34, "layer_path": [0, 1, 2, 3, 3, 4, 4, 5, 6, 7, 8, 9, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.4854}, "val": {"pass_at": [0.18309859154929578, 0.352112676056338, 0.4225352112676056, 0.43661971830985913, 0.4788732394366197], "identity_acc": 0.352112676056338, "rescue_at1": 0.028169014084507043, "harm_at1": 0.19718309859154928, "nonident_top1": 1.0}}, {"params": {"program": 28, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 10, 11, 12, 13, 14, 15, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "train_prior": 0.4676}, "val": {"pass_at": [0.14084507042253522, 0.3380281690140845, 0.4084507042253521, 0.4647887323943662, 0.49295774647887325], "identity_acc": 0.352112676056338, "rescue_at1": 0.07042253521126761, "harm_at1": 0.28169014084507044, "nonident_top1": 1.0}}, {"params": {"program": 30, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 22, 23, 23, 24, 25, 26, 27], "train_prior": 0.426}, "val": {"pass_at": [0.28169014084507044, 0.3380281690140845, 0.4084507042253521, 0.4507042253521127, 0.49295774647887325], "identity_acc": 0.352112676056338, "rescue_at1": 0.028169014084507043, "harm_at1": 0.09859154929577464, "nonident_top1": 1.0}}, {"params": {"program": 56, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 21, 23, 24, 25, 26, 27], "train_prior": 0.4249}, "val": {"pass_at": [0.19718309859154928, 0.352112676056338, 0.4225352112676056, 0.4788732394366197, 0.5211267605633803], "identity_acc": 0.352112676056338, "rescue_at1": 0.04225352112676056, "harm_at1": 0.19718309859154928, "nonident_top1": 1.0}}, {"params": {"program": 32, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 11, 12, 14, 15, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.4089}, "val": {"pass_at": [0.15492957746478872, 0.323943661971831, 0.4084507042253521, 0.4507042253521127, 0.49295774647887325], "identity_acc": 0.352112676056338, "rescue_at1": 0.04225352112676056, "harm_at1": 0.23943661971830985, "nonident_top1": 1.0}}, {"params": {"program": 48, "layer_path": [0, 1, 2, 2, 3, 3, 4, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "train_prior": 0.4013}, "val": {"pass_at": [0.23943661971830985, 0.38028169014084506, 0.43661971830985913, 0.4647887323943662, 0.5070422535211268], "identity_acc": 0.352112676056338, "rescue_at1": 0.07042253521126761, "harm_at1": 0.18309859154929578, "nonident_top1": 1.0}}, {"params": {"program": 61, "layer_path": [0, 1, 2, 2, 3, 3, 4, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 24, 26, 27], "train_prior": 0.389}, "val": {"pass_at": [0.18309859154929578, 0.352112676056338, 0.4225352112676056, 0.43661971830985913, 0.4788732394366197], "identity_acc": 0.352112676056338, "rescue_at1": 0.028169014084507043, "harm_at1": 0.19718309859154928, "nonident_top1": 1.0}}, {"params": {"program": 73, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 6, 7, 8, 9, 10, 11, 12, 14, 15, 16, 17, 18, 19, 21, 23, 24, 25, 26, 27], "train_prior": 0.389}, "val": {"pass_at": [0.04225352112676056, 0.28169014084507044, 0.36619718309859156, 0.4225352112676056, 0.4647887323943662], "identity_acc": 0.352112676056338, "rescue_at1": 0.028169014084507043, "harm_at1": 0.3380281690140845, "nonident_top1": 1.0}}, {"params": {"program": 70, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 23, 23, 24, 25, 27], "train_prior": 0.3661}, "val": {"pass_at": [0.28169014084507044, 0.36619718309859156, 0.4507042253521127, 0.4788732394366197, 0.5070422535211268], "identity_acc": 0.352112676056338, "rescue_at1": 0.056338028169014086, "harm_at1": 0.1267605633802817, "nonident_top1": 1.0}}, {"params": {"program": 31, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.3651}, "val": {"pass_at": [0.28169014084507044, 0.352112676056338, 0.39436619718309857, 0.4507042253521127, 0.49295774647887325], "identity_acc": 0.352112676056338, "rescue_at1": 0.028169014084507043, "harm_at1": 0.09859154929577464, "nonident_top1": 1.0}}, {"params": {"program": 90, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 10, 11, 12, 13, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.3482}, "val": {"pass_at": [0.22535211267605634, 0.39436619718309857, 0.4788732394366197, 0.5211267605633803, 0.5352112676056338], "identity_acc": 0.352112676056338, "rescue_at1": 0.09859154929577464, "harm_at1": 0.22535211267605634, "nonident_top1": 1.0}}, {"params": {"program": 93, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.3482}, "val": {"pass_at": [0.2676056338028169, 0.38028169014084506, 0.4507042253521127, 0.49295774647887325, 0.5070422535211268], "identity_acc": 0.352112676056338, "rescue_at1": 0.07042253521126761, "harm_at1": 0.15492957746478872, "nonident_top1": 1.0}}, {"params": {"program": 67, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 11, 12, 13, 14, 15, 16, 17, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.3457}, "val": {"pass_at": [0.19718309859154928, 0.36619718309859156, 0.4084507042253521, 0.4507042253521127, 0.49295774647887325], "identity_acc": 0.352112676056338, "rescue_at1": 0.08450704225352113, "harm_at1": 0.23943661971830985, "nonident_top1": 1.0}}, {"params": {"program": 3, "layer_path": [0, 1, 3, 4, 5, 6, 7, 8, 9, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.3441}, "val": {"pass_at": [0.15492957746478872, 0.352112676056338, 0.43661971830985913, 0.4647887323943662, 0.5070422535211268], "identity_acc": 0.352112676056338, "rescue_at1": 0.056338028169014086, "harm_at1": 0.2535211267605634, "nonident_top1": 1.0}}, {"params": {"program": 38, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 22, 23, 23, 24, 25, 26, 27], "train_prior": 0.3426}, "val": {"pass_at": [0.14084507042253522, 0.3380281690140845, 0.39436619718309857, 0.43661971830985913, 0.4788732394366197], "identity_acc": 0.352112676056338, "rescue_at1": 0.04225352112676056, "harm_at1": 0.2535211267605634, "nonident_top1": 1.0}}]}}}
polar_split/fixed_program/llama32_3b/polar_default/seed42/diff1/fold1.json ADDED
@@ -0,0 +1 @@
 
 
1
+ {"difficulty": 1, "menu_size": 113, "prompt_style": "raw", "samples": "/app/data/router_data/theirsplit_cv/l3b_lpselraw_diff1_f1.json", "n": {"train": 353, "val": 71, "test": 141}, "methods": {"fixed": {"winner": {"program": 12, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "train_prior": 0.6246}, "val": {"pass_at": [0.36619718309859156, 0.4647887323943662, 0.5211267605633803, 0.5633802816901409, 0.5915492957746479], "identity_acc": 0.38028169014084506, "rescue_at1": 0.11267605633802817, "harm_at1": 0.1267605633802817, "nonident_top1": 1.0}, "test": {"pass_at": [0.3120567375886525, 0.40425531914893614, 0.44680851063829785, 0.5106382978723404, 0.524822695035461], "identity_acc": 0.3617021276595745, "rescue_at1": 0.07801418439716312, "harm_at1": 0.1276595744680851, "nonident_top1": 1.0, "mcnemar_p": 0.26493089646101, "n_distinct_top1": 1, "top_nonidentity": [{"layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "n": 141}], "per_question": [{"query_id": "MATH/train/algebra/1364.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1991.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1379.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/492.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/335.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1666.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/geometry/14.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/365.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/1084.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/180.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/precalculus/348.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/2690.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/569.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/887.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/756.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/precalculus/468.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/precalculus/965.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/2644.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/816.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/681.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/574.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1406.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/25015.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/636.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/985.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/465.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2140.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1327.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/284.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/509.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/430.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/1247.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1476.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/487.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/geometry/419.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/531.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/147.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/460.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/precalculus/437.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/656.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/45.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/precalculus/1293.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/399.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/511.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/234.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/geometry/576.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/12.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1274.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/228.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/131.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/324.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/119.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/49.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2234.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/764.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1601.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/266.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1054.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1869.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/548.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/1080.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1851.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/674.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2809.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/73.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/1310.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/734.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2595.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/740.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/779.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2682.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/113.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/579.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/number_theory/767.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/220.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/699.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/precalculus/246.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/266.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/197.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/number_theory/666.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1415.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/precalculus/71.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/1053.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/algebra/890.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1793.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/870.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1225.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1104.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1058.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/2011.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/algebra/162.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/number_theory/759.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/geometry/578.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/228.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/746.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/12.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/704.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1851.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/760.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/algebra/1487.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1939.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/779.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/number_theory/442.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/505.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/516.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/2564.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/181.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/1962.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/111.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/63.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/705.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/129.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/246.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1996.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/697.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/590.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/precalculus/718.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/777.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/77.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/precalculus/532.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/332.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/precalculus/962.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/177.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/518.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/347.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/2519.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/261.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/717.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/593.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1509.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1167.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/1157.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/35.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/796.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/469.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/14.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/number_theory/658.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/precalculus/854.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/33.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/527.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/625.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}]}, "all_val": [{"params": {"program": 12, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "train_prior": 0.6246}, "val": {"pass_at": [0.36619718309859156, 0.4647887323943662, 0.5211267605633803, 0.5633802816901409, 0.5915492957746479], "identity_acc": 0.38028169014084506, "rescue_at1": 0.11267605633802817, "harm_at1": 0.1267605633802817, "nonident_top1": 1.0}}, {"params": {"program": 17, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "train_prior": 0.5739}, "val": {"pass_at": [0.36619718309859156, 0.4647887323943662, 0.5211267605633803, 0.5633802816901409, 0.5915492957746479], "identity_acc": 0.38028169014084506, "rescue_at1": 0.09859154929577464, "harm_at1": 0.11267605633802817, "nonident_top1": 1.0}}, {"params": {"program": 25, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 10, 11, 12, 13, 14, 15, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "train_prior": 0.5098}, "val": {"pass_at": [0.18309859154929578, 0.4225352112676056, 0.5211267605633803, 0.5633802816901409, 0.5915492957746479], "identity_acc": 0.38028169014084506, "rescue_at1": 0.11267605633802817, "harm_at1": 0.30985915492957744, "nonident_top1": 1.0}}, {"params": {"program": 26, "layer_path": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.5098}, "val": {"pass_at": [0.29577464788732394, 0.4647887323943662, 0.5211267605633803, 0.5633802816901409, 0.5915492957746479], "identity_acc": 0.38028169014084506, "rescue_at1": 0.056338028169014086, "harm_at1": 0.14084507042253522, "nonident_top1": 1.0}}, {"params": {"program": 18, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "train_prior": 0.5056}, "val": {"pass_at": [0.30985915492957744, 0.39436619718309857, 0.49295774647887325, 0.5492957746478874, 0.5915492957746479], "identity_acc": 0.38028169014084506, "rescue_at1": 0.09859154929577464, "harm_at1": 0.16901408450704225, "nonident_top1": 1.0}}, {"params": {"program": 28, "layer_path": [0, 1, 2, 3, 3, 4, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.4874}, "val": {"pass_at": [0.23943661971830985, 0.43661971830985913, 0.5070422535211268, 0.5492957746478874, 0.5633802816901409], "identity_acc": 0.38028169014084506, "rescue_at1": 0.04225352112676056, "harm_at1": 0.18309859154929578, "nonident_top1": 1.0}}, {"params": {"program": 41, "layer_path": [0, 1, 2, 3, 3, 4, 4, 5, 6, 7, 8, 9, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.4118}, "val": {"pass_at": [0.16901408450704225, 0.39436619718309857, 0.4788732394366197, 0.5352112676056338, 0.5774647887323944], "identity_acc": 0.38028169014084506, "rescue_at1": 0.04225352112676056, "harm_at1": 0.2535211267605634, "nonident_top1": 1.0}}, {"params": {"program": 31, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 11, 12, 14, 15, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.4015}, "val": {"pass_at": [0.2112676056338028, 0.43661971830985913, 0.49295774647887325, 0.5352112676056338, 0.5774647887323944], "identity_acc": 0.38028169014084506, "rescue_at1": 0.07042253521126761, "harm_at1": 0.23943661971830985, "nonident_top1": 1.0}}, {"params": {"program": 85, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.3739}, "val": {"pass_at": [0.28169014084507044, 0.4647887323943662, 0.5211267605633803, 0.5774647887323944, 0.6056338028169014], "identity_acc": 0.38028169014084506, "rescue_at1": 0.04225352112676056, "harm_at1": 0.14084507042253522, "nonident_top1": 1.0}}, {"params": {"program": 53, "layer_path": [0, 1, 2, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 13, 14, 15, 16, 17, 18, 19, 19, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.3668}, "val": {"pass_at": [0.18309859154929578, 0.38028169014084506, 0.4647887323943662, 0.5211267605633803, 0.5633802816901409], "identity_acc": 0.38028169014084506, "rescue_at1": 0.0, "harm_at1": 0.19718309859154928, "nonident_top1": 1.0}}, {"params": {"program": 62, "layer_path": [0, 1, 2, 2, 3, 3, 4, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "train_prior": 0.3668}, "val": {"pass_at": [0.2676056338028169, 0.4225352112676056, 0.4788732394366197, 0.5352112676056338, 0.5633802816901409], "identity_acc": 0.38028169014084506, "rescue_at1": 0.056338028169014086, "harm_at1": 0.16901408450704225, "nonident_top1": 1.0}}, {"params": {"program": 63, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 21, 23, 24, 25, 26, 27], "train_prior": 0.3668}, "val": {"pass_at": [0.23943661971830985, 0.39436619718309857, 0.49295774647887325, 0.5492957746478874, 0.5915492957746479], "identity_acc": 0.38028169014084506, "rescue_at1": 0.04225352112676056, "harm_at1": 0.18309859154929578, "nonident_top1": 1.0}}, {"params": {"program": 49, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 22, 23, 23, 24, 25, 26, 27], "train_prior": 0.3618}, "val": {"pass_at": [0.352112676056338, 0.4788732394366197, 0.5070422535211268, 0.5633802816901409, 0.6056338028169014], "identity_acc": 0.38028169014084506, "rescue_at1": 0.04225352112676056, "harm_at1": 0.07042253521126761, "nonident_top1": 1.0}}, {"params": {"program": 32, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.3552}, "val": {"pass_at": [0.2676056338028169, 0.43661971830985913, 0.5070422535211268, 0.5633802816901409, 0.5915492957746479], "identity_acc": 0.38028169014084506, "rescue_at1": 0.04225352112676056, "harm_at1": 0.15492957746478872, "nonident_top1": 1.0}}, {"params": {"program": 77, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 23, 23, 24, 25, 27], "train_prior": 0.349}, "val": {"pass_at": [0.352112676056338, 0.49295774647887325, 0.5492957746478874, 0.6056338028169014, 0.6338028169014085], "identity_acc": 0.38028169014084506, "rescue_at1": 0.04225352112676056, "harm_at1": 0.07042253521126761, "nonident_top1": 1.0}}, {"params": {"program": 83, "layer_path": [0, 1, 2, 2, 3, 3, 4, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 24, 26, 27], "train_prior": 0.349}, "val": {"pass_at": [0.19718309859154928, 0.43661971830985913, 0.4788732394366197, 0.5352112676056338, 0.5633802816901409], "identity_acc": 0.38028169014084506, "rescue_at1": 0.028169014084507043, "harm_at1": 0.2112676056338028, "nonident_top1": 1.0}}, {"params": {"program": 84, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 6, 7, 8, 9, 10, 11, 12, 14, 15, 16, 17, 18, 19, 21, 23, 24, 25, 26, 27], "train_prior": 0.349}, "val": {"pass_at": [0.14084507042253522, 0.4084507042253521, 0.49295774647887325, 0.5492957746478874, 0.5915492957746479], "identity_acc": 0.38028169014084506, "rescue_at1": 0.028169014084507043, "harm_at1": 0.2676056338028169, "nonident_top1": 1.0}}, {"params": {"program": 3, "layer_path": [0, 1, 3, 4, 5, 6, 7, 8, 9, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.3353}, "val": {"pass_at": [0.14084507042253522, 0.39436619718309857, 0.4647887323943662, 0.5211267605633803, 0.5633802816901409], "identity_acc": 0.38028169014084506, "rescue_at1": 0.04225352112676056, "harm_at1": 0.28169014084507044, "nonident_top1": 1.0}}, {"params": {"program": 27, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "train_prior": 0.3302}, "val": {"pass_at": [0.16901408450704225, 0.4225352112676056, 0.5211267605633803, 0.5492957746478874, 0.5915492957746479], "identity_acc": 0.38028169014084506, "rescue_at1": 0.07042253521126761, "harm_at1": 0.28169014084507044, "nonident_top1": 1.0}}, {"params": {"program": 55, "layer_path": [0, 1, 2, 3, 4, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "train_prior": 0.3282}, "val": {"pass_at": [0.15492957746478872, 0.4084507042253521, 0.49295774647887325, 0.5352112676056338, 0.5774647887323944], "identity_acc": 0.38028169014084506, "rescue_at1": 0.09859154929577464, "harm_at1": 0.323943661971831, "nonident_top1": 1.0}}]}}}
polar_split/fixed_program/llama32_3b/polar_default/seed42/diff1/fold2.json ADDED
@@ -0,0 +1 @@
 
 
1
+ {"difficulty": 1, "menu_size": 124, "prompt_style": "raw", "samples": "/app/data/router_data/theirsplit_cv/l3b_lpselraw_diff1_f2.json", "n": {"train": 352, "val": 71, "test": 142}, "methods": {"fixed": {"winner": {"program": 19, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "train_prior": 0.4662}, "val": {"pass_at": [0.36619718309859156, 0.4647887323943662, 0.5070422535211268, 0.5070422535211268, 0.5070422535211268], "identity_acc": 0.38028169014084506, "rescue_at1": 0.09859154929577464, "harm_at1": 0.11267605633802817, "nonident_top1": 1.0}, "test": {"pass_at": [0.2676056338028169, 0.36619718309859156, 0.5, 0.5211267605633803, 0.528169014084507], "identity_acc": 0.3732394366197183, "rescue_at1": 0.07042253521126761, "harm_at1": 0.176056338028169, "nonident_top1": 1.0, "mcnemar_p": 0.01667384780012071, "n_distinct_top1": 1, "top_nonidentity": [{"layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "n": 142}], "per_question": [{"query_id": "MATH/train/intermediate_algebra/452.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/precalculus/39.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/1023.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/1672.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/2183.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2747.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/1454.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/geometry/104.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/algebra/2231.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/302.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/650.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/204.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/532.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/720.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/223.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1724.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/332.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/geometry/1095.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/25487.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/75.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/165.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/precalculus/42.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2413.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/361.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1008.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/615.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/592.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/number_theory/1054.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/646.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1945.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/339.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/534.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/873.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/652.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/108.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/372.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2654.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1949.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/663.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/106.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1816.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/62.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/1660.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/231.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/437.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1567.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/216.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/number_theory/464.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/446.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/353.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/number_theory/115.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/algebra/671.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/geometry/70.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/507.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/411.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/geometry/31.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1117.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2310.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/number_theory/21.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/963.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/443.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1920.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2692.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1051.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/959.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/precalculus/172.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/2187.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/number_theory/379.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1414.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/precalculus/147.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/344.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2239.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1804.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/309.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/141.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2461.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/146.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/384.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/101.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/85.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/1357.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/3.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/6.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1078.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2365.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/75.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/1036.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/56.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/number_theory/1137.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/1587.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/25423.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/696.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/699.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/513.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/600.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/703.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/1158.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1246.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/489.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/1964.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/786.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/25051.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/354.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1575.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/75.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/793.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2415.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1236.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/151.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/1330.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/245.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/204.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/989.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/566.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/1921.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/403.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/precalculus/777.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/773.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/938.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/1262.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1279.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1599.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/number_theory/436.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/949.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1061.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/92.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1954.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1385.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/233.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/546.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2063.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/156.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1780.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/algebra/1437.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/1196.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/729.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/253.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/2273.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/382.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/218.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/algebra/2534.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}]}, "all_val": [{"params": {"program": 13, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "train_prior": 0.5898}, "val": {"pass_at": [0.36619718309859156, 0.43661971830985913, 0.4507042253521127, 0.4647887323943662, 0.49295774647887325], "identity_acc": 0.38028169014084506, "rescue_at1": 0.11267605633802817, "harm_at1": 0.1267605633802817, "nonident_top1": 1.0}}, {"params": {"program": 29, "layer_path": [0, 1, 2, 3, 3, 4, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.4849}, "val": {"pass_at": [0.23943661971830985, 0.43661971830985913, 0.4507042253521127, 0.4647887323943662, 0.49295774647887325], "identity_acc": 0.38028169014084506, "rescue_at1": 0.04225352112676056, "harm_at1": 0.18309859154929578, "nonident_top1": 1.0}}, {"params": {"program": 44, "layer_path": [0, 1, 2, 2, 3, 3, 4, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "train_prior": 0.4814}, "val": {"pass_at": [0.2676056338028169, 0.4225352112676056, 0.4507042253521127, 0.4647887323943662, 0.49295774647887325], "identity_acc": 0.38028169014084506, "rescue_at1": 0.056338028169014086, "harm_at1": 0.16901408450704225, "nonident_top1": 1.0}}, {"params": {"program": 46, "layer_path": [0, 1, 2, 2, 3, 3, 4, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 24, 26, 27], "train_prior": 0.4814}, "val": {"pass_at": [0.19718309859154928, 0.43661971830985913, 0.4647887323943662, 0.4647887323943662, 0.49295774647887325], "identity_acc": 0.38028169014084506, "rescue_at1": 0.028169014084507043, "harm_at1": 0.2112676056338028, "nonident_top1": 1.0}}, {"params": {"program": 18, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "train_prior": 0.4679}, "val": {"pass_at": [0.30985915492957744, 0.39436619718309857, 0.4647887323943662, 0.4788732394366197, 0.49295774647887325], "identity_acc": 0.38028169014084506, "rescue_at1": 0.09859154929577464, "harm_at1": 0.16901408450704225, "nonident_top1": 1.0}}, {"params": {"program": 19, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "train_prior": 0.4662}, "val": {"pass_at": [0.36619718309859156, 0.4647887323943662, 0.5070422535211268, 0.5070422535211268, 0.5070422535211268], "identity_acc": 0.38028169014084506, "rescue_at1": 0.09859154929577464, "harm_at1": 0.11267605633802817, "nonident_top1": 1.0}}, {"params": {"program": 24, "layer_path": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.4351}, "val": {"pass_at": [0.29577464788732394, 0.4647887323943662, 0.4647887323943662, 0.4647887323943662, 0.4788732394366197], "identity_acc": 0.38028169014084506, "rescue_at1": 0.056338028169014086, "harm_at1": 0.14084507042253522, "nonident_top1": 1.0}}, {"params": {"program": 72, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 6, 7, 8, 9, 10, 11, 12, 14, 15, 16, 17, 18, 19, 21, 23, 24, 25, 26, 27], "train_prior": 0.4122}, "val": {"pass_at": [0.14084507042253522, 0.4084507042253521, 0.4788732394366197, 0.4788732394366197, 0.49295774647887325], "identity_acc": 0.38028169014084506, "rescue_at1": 0.028169014084507043, "harm_at1": 0.2676056338028169, "nonident_top1": 1.0}}, {"params": {"program": 45, "layer_path": [0, 1, 2, 3, 3, 4, 4, 5, 6, 7, 8, 9, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.4092}, "val": {"pass_at": [0.16901408450704225, 0.39436619718309857, 0.4647887323943662, 0.4647887323943662, 0.4788732394366197], "identity_acc": 0.38028169014084506, "rescue_at1": 0.04225352112676056, "harm_at1": 0.2535211267605634, "nonident_top1": 1.0}}, {"params": {"program": 32, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 10, 11, 12, 13, 14, 15, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "train_prior": 0.3993}, "val": {"pass_at": [0.18309859154929578, 0.4225352112676056, 0.4788732394366197, 0.49295774647887325, 0.5070422535211268], "identity_acc": 0.38028169014084506, "rescue_at1": 0.11267605633802817, "harm_at1": 0.30985915492957744, "nonident_top1": 1.0}}, {"params": {"program": 35, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.3993}, "val": {"pass_at": [0.2676056338028169, 0.43661971830985913, 0.4788732394366197, 0.49295774647887325, 0.5070422535211268], "identity_acc": 0.38028169014084506, "rescue_at1": 0.04225352112676056, "harm_at1": 0.15492957746478872, "nonident_top1": 1.0}}, {"params": {"program": 36, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 22, 23, 23, 24, 25, 26, 27], "train_prior": 0.3993}, "val": {"pass_at": [0.352112676056338, 0.4788732394366197, 0.5211267605633803, 0.5211267605633803, 0.5352112676056338], "identity_acc": 0.38028169014084506, "rescue_at1": 0.04225352112676056, "harm_at1": 0.07042253521126761, "nonident_top1": 1.0}}, {"params": {"program": 62, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 22, 23, 24, 25, 27], "train_prior": 0.3865}, "val": {"pass_at": [0.29577464788732394, 0.4647887323943662, 0.5211267605633803, 0.5211267605633803, 0.5352112676056338], "identity_acc": 0.38028169014084506, "rescue_at1": 0.04225352112676056, "harm_at1": 0.1267605633802817, "nonident_top1": 1.0}}, {"params": {"program": 57, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 11, 12, 14, 15, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.3781}, "val": {"pass_at": [0.2112676056338028, 0.43661971830985913, 0.49295774647887325, 0.5070422535211268, 0.5070422535211268], "identity_acc": 0.38028169014084506, "rescue_at1": 0.07042253521126761, "harm_at1": 0.23943661971830985, "nonident_top1": 1.0}}, {"params": {"program": 59, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 11, 12, 14, 15, 16, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.3637}, "val": {"pass_at": [0.22535211267605634, 0.4507042253521127, 0.4788732394366197, 0.4788732394366197, 0.49295774647887325], "identity_acc": 0.38028169014084506, "rescue_at1": 0.028169014084507043, "harm_at1": 0.18309859154929578, "nonident_top1": 1.0}}, {"params": {"program": 3, "layer_path": [0, 1, 3, 4, 5, 6, 7, 8, 9, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.3458}, "val": {"pass_at": [0.14084507042253522, 0.39436619718309857, 0.4647887323943662, 0.4788732394366197, 0.4788732394366197], "identity_acc": 0.38028169014084506, "rescue_at1": 0.04225352112676056, "harm_at1": 0.28169014084507044, "nonident_top1": 1.0}}, {"params": {"program": 74, "layer_path": [0, 1, 2, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 13, 14, 15, 16, 17, 18, 19, 19, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.3456}, "val": {"pass_at": [0.18309859154929578, 0.38028169014084506, 0.43661971830985913, 0.4507042253521127, 0.4647887323943662], "identity_acc": 0.38028169014084506, "rescue_at1": 0.0, "harm_at1": 0.19718309859154928, "nonident_top1": 1.0}}, {"params": {"program": 92, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 10, 11, 12, 13, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.3456}, "val": {"pass_at": [0.2535211267605634, 0.43661971830985913, 0.49295774647887325, 0.5070422535211268, 0.5070422535211268], "identity_acc": 0.38028169014084506, "rescue_at1": 0.056338028169014086, "harm_at1": 0.18309859154929578, "nonident_top1": 1.0}}, {"params": {"program": 93, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.3456}, "val": {"pass_at": [0.28169014084507044, 0.4647887323943662, 0.5211267605633803, 0.5211267605633803, 0.5352112676056338], "identity_acc": 0.38028169014084506, "rescue_at1": 0.04225352112676056, "harm_at1": 0.14084507042253522, "nonident_top1": 1.0}}, {"params": {"program": 73, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 21, 23, 24, 25, 26, 27], "train_prior": 0.3435}, "val": {"pass_at": [0.23943661971830985, 0.39436619718309857, 0.4647887323943662, 0.4788732394366197, 0.49295774647887325], "identity_acc": 0.38028169014084506, "rescue_at1": 0.04225352112676056, "harm_at1": 0.18309859154929578, "nonident_top1": 1.0}}]}}}
polar_split/fixed_program/llama32_3b/polar_default/seed42/diff1/fold3.json ADDED
@@ -0,0 +1 @@
 
 
1
+ {"difficulty": 1, "menu_size": 107, "prompt_style": "raw", "samples": "/app/data/router_data/theirsplit_cv/l3b_lpselraw_diff1_f3.json", "n": {"train": 353, "val": 71, "test": 141}, "methods": {"fixed": {"winner": {"program": 15, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "train_prior": 0.5859}, "val": {"pass_at": [0.36619718309859156, 0.4647887323943662, 0.49295774647887325, 0.5352112676056338, 0.5774647887323944], "identity_acc": 0.38028169014084506, "rescue_at1": 0.09859154929577464, "harm_at1": 0.11267605633802817, "nonident_top1": 1.0}, "test": {"pass_at": [0.3971631205673759, 0.49645390070921985, 0.5460992907801419, 0.6170212765957447, 0.6737588652482269], "identity_acc": 0.44680851063829785, "rescue_at1": 0.0851063829787234, "harm_at1": 0.1347517730496454, "nonident_top1": 1.0, "mcnemar_p": 0.28104151505976915, "n_distinct_top1": 1, "top_nonidentity": [{"layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "n": 141}], "per_question": [{"query_id": "MATH/train/prealgebra/610.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/322.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/284.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/998.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1172.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2669.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/653.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/811.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/781.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/886.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/243.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/1906.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/710.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/75.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1672.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/133.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1660.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/593.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/1027.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/precalculus/475.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/geometry/501.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/123.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/30.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/2006.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/630.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/231.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/314.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/671.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/25219.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/311.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2638.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1916.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/geometry/806.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/303.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/872.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/precalculus/1265.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/270.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/451.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/number_theory/438.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/1152.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/234.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/number_theory/548.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/555.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/934.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/296.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/1333.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2108.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/478.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/1943.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/1174.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/number_theory/421.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/173.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/algebra/1492.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/342.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/algebra/2751.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/141.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/656.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1314.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/313.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/210.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/23952.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2375.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/396.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/2655.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/1988.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/721.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/426.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/292.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/432.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1740.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/precalculus/226.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/36.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/269.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/1228.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/131.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/170.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/867.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/2491.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/112.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/653.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1968.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/808.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1292.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/344.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/number_theory/61.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/431.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1344.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/531.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/25244.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/107.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/989.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/222.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/237.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/544.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/34.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/geometry/350.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/97.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/383.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/1932.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/number_theory/1210.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/450.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/number_theory/223.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/121.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/1053.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1682.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2389.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1284.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/193.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/geometry/79.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/precalculus/372.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/50.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/precalculus/765.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/563.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/87.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/44.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/number_theory/628.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/24756.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/738.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/178.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/2105.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/2455.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/710.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/450.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/precalculus/543.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/geometry/598.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/24077.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/328.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/164.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/319.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/precalculus/176.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/858.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/722.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/820.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/539.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/1915.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/906.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/241.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/78.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/1662.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/294.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1412.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}]}, "all_val": [{"params": {"program": 15, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "train_prior": 0.5859}, "val": {"pass_at": [0.36619718309859156, 0.4647887323943662, 0.49295774647887325, 0.5352112676056338, 0.5774647887323944], "identity_acc": 0.38028169014084506, "rescue_at1": 0.09859154929577464, "harm_at1": 0.11267605633802817, "nonident_top1": 1.0}}, {"params": {"program": 12, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "train_prior": 0.5736}, "val": {"pass_at": [0.36619718309859156, 0.4647887323943662, 0.49295774647887325, 0.5352112676056338, 0.5774647887323944], "identity_acc": 0.38028169014084506, "rescue_at1": 0.11267605633802817, "harm_at1": 0.1267605633802817, "nonident_top1": 1.0}}, {"params": {"program": 17, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "train_prior": 0.4784}, "val": {"pass_at": [0.30985915492957744, 0.4225352112676056, 0.49295774647887325, 0.5352112676056338, 0.5774647887323944], "identity_acc": 0.38028169014084506, "rescue_at1": 0.09859154929577464, "harm_at1": 0.16901408450704225, "nonident_top1": 1.0}}, {"params": {"program": 36, "layer_path": [0, 1, 2, 3, 3, 4, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.4495}, "val": {"pass_at": [0.23943661971830985, 0.43661971830985913, 0.5070422535211268, 0.5352112676056338, 0.5774647887323944], "identity_acc": 0.38028169014084506, "rescue_at1": 0.04225352112676056, "harm_at1": 0.18309859154929578, "nonident_top1": 1.0}}, {"params": {"program": 32, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 22, 23, 23, 24, 25, 26, 27], "train_prior": 0.4329}, "val": {"pass_at": [0.352112676056338, 0.4507042253521127, 0.5070422535211268, 0.5352112676056338, 0.5774647887323944], "identity_acc": 0.38028169014084506, "rescue_at1": 0.04225352112676056, "harm_at1": 0.07042253521126761, "nonident_top1": 1.0}}, {"params": {"program": 33, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 22, 23, 23, 24, 25, 26, 27], "train_prior": 0.4329}, "val": {"pass_at": [0.19718309859154928, 0.4084507042253521, 0.49295774647887325, 0.5211267605633803, 0.5633802816901409], "identity_acc": 0.38028169014084506, "rescue_at1": 0.014084507042253521, "harm_at1": 0.19718309859154928, "nonident_top1": 1.0}}, {"params": {"program": 24, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 10, 11, 12, 13, 14, 15, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "train_prior": 0.4205}, "val": {"pass_at": [0.18309859154929578, 0.4507042253521127, 0.5211267605633803, 0.5492957746478874, 0.5774647887323944], "identity_acc": 0.38028169014084506, "rescue_at1": 0.11267605633802817, "harm_at1": 0.30985915492957744, "nonident_top1": 1.0}}, {"params": {"program": 43, "layer_path": [0, 1, 2, 3, 3, 4, 4, 5, 6, 7, 8, 9, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.3939}, "val": {"pass_at": [0.16901408450704225, 0.4084507042253521, 0.4788732394366197, 0.49295774647887325, 0.5352112676056338], "identity_acc": 0.38028169014084506, "rescue_at1": 0.04225352112676056, "harm_at1": 0.2535211267605634, "nonident_top1": 1.0}}, {"params": {"program": 35, "layer_path": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.3678}, "val": {"pass_at": [0.29577464788732394, 0.4507042253521127, 0.5211267605633803, 0.5492957746478874, 0.5492957746478874], "identity_acc": 0.38028169014084506, "rescue_at1": 0.056338028169014086, "harm_at1": 0.14084507042253522, "nonident_top1": 1.0}}, {"params": {"program": 52, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 16, 17, 18, 19, 20, 21, 22, 22, 23, 23, 24, 25, 26, 27], "train_prior": 0.3206}, "val": {"pass_at": [0.11267605633802817, 0.4084507042253521, 0.49295774647887325, 0.5211267605633803, 0.5633802816901409], "identity_acc": 0.38028169014084506, "rescue_at1": 0.028169014084507043, "harm_at1": 0.29577464788732394, "nonident_top1": 1.0}}, {"params": {"program": 5, "layer_path": [0, 1, 3, 4, 5, 6, 7, 8, 9, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.319}, "val": {"pass_at": [0.14084507042253522, 0.39436619718309857, 0.4647887323943662, 0.49295774647887325, 0.5352112676056338], "identity_acc": 0.38028169014084506, "rescue_at1": 0.04225352112676056, "harm_at1": 0.28169014084507044, "nonident_top1": 1.0}}, {"params": {"program": 57, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 22, 23, 24, 25, 27], "train_prior": 0.3182}, "val": {"pass_at": [0.29577464788732394, 0.49295774647887325, 0.5492957746478874, 0.5774647887323944, 0.6056338028169014], "identity_acc": 0.38028169014084506, "rescue_at1": 0.04225352112676056, "harm_at1": 0.1267605633802817, "nonident_top1": 1.0}}, {"params": {"program": 72, "layer_path": [0, 1, 2, 2, 3, 3, 4, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "train_prior": 0.3182}, "val": {"pass_at": [0.2676056338028169, 0.4225352112676056, 0.4788732394366197, 0.5070422535211268, 0.5352112676056338], "identity_acc": 0.38028169014084506, "rescue_at1": 0.056338028169014086, "harm_at1": 0.16901408450704225, "nonident_top1": 1.0}}, {"params": {"program": 11, "layer_path": [0, 1, 3, 4, 5, 6, 7, 8, 9, 10, 11, 10, 11, 12, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.306}, "val": {"pass_at": [0.19718309859154928, 0.38028169014084506, 0.4647887323943662, 0.49295774647887325, 0.5352112676056338], "identity_acc": 0.38028169014084506, "rescue_at1": 0.028169014084507043, "harm_at1": 0.2112676056338028, "nonident_top1": 1.0}}, {"params": {"program": 47, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 11, 12, 14, 15, 16, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.3045}, "val": {"pass_at": [0.22535211267605634, 0.43661971830985913, 0.5070422535211268, 0.5352112676056338, 0.5633802816901409], "identity_acc": 0.38028169014084506, "rescue_at1": 0.028169014084507043, "harm_at1": 0.18309859154929578, "nonident_top1": 1.0}}, {"params": {"program": 68, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 20, 21, 22, 23, 24, 25, 27], "train_prior": 0.2995}, "val": {"pass_at": [0.23943661971830985, 0.43661971830985913, 0.5211267605633803, 0.5492957746478874, 0.5915492957746479], "identity_acc": 0.38028169014084506, "rescue_at1": 0.08450704225352113, "harm_at1": 0.22535211267605634, "nonident_top1": 1.0}}, {"params": {"program": 16, "layer_path": [0, 1, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.2955}, "val": {"pass_at": [0.15492957746478872, 0.4225352112676056, 0.49295774647887325, 0.5211267605633803, 0.5492957746478874], "identity_acc": 0.38028169014084506, "rescue_at1": 0.028169014084507043, "harm_at1": 0.2535211267605634, "nonident_top1": 1.0}}, {"params": {"program": 82, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 9, 10, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "train_prior": 0.2922}, "val": {"pass_at": [0.15492957746478872, 0.38028169014084506, 0.4788732394366197, 0.5070422535211268, 0.5492957746478874], "identity_acc": 0.38028169014084506, "rescue_at1": 0.014084507042253521, "harm_at1": 0.23943661971830985, "nonident_top1": 1.0}}, {"params": {"program": 84, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 10, 11, 12, 14, 15, 15, 16, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.2922}, "val": {"pass_at": [0.15492957746478872, 0.4225352112676056, 0.49295774647887325, 0.5211267605633803, 0.5633802816901409], "identity_acc": 0.38028169014084506, "rescue_at1": 0.056338028169014086, "harm_at1": 0.28169014084507044, "nonident_top1": 1.0}}, {"params": {"program": 91, "layer_path": [0, 1, 2, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 16, 17, 18, 19, 20, 21, 22, 23, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.2922}, "val": {"pass_at": [0.19718309859154928, 0.4084507042253521, 0.5070422535211268, 0.5352112676056338, 0.5774647887323944], "identity_acc": 0.38028169014084506, "rescue_at1": 0.04225352112676056, "harm_at1": 0.22535211267605634, "nonident_top1": 1.0}}]}}}
polar_split/fixed_program/llama32_3b/polar_default/seed42/diff2/fold0.json ADDED
@@ -0,0 +1 @@
 
 
1
+ {"difficulty": 2, "menu_size": 172, "prompt_style": "raw", "samples": "/app/data/router_data/theirsplit_cv/l3b_lpselraw_diff2_f0.json", "n": {"train": 843, "val": 169, "test": 337}, "methods": {"fixed": {"winner": {"program": 68, "layer_path": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.4579}, "val": {"pass_at": [0.2603550295857988, 0.30177514792899407, 0.35502958579881655, 0.39644970414201186, 0.41420118343195267], "identity_acc": 0.27218934911242604, "rescue_at1": 0.05917159763313609, "harm_at1": 0.07100591715976332, "nonident_top1": 1.0}, "test": {"pass_at": [0.24629080118694363, 0.29376854599406527, 0.34124629080118696, 0.3887240356083086, 0.41543026706231456], "identity_acc": 0.26706231454005935, "rescue_at1": 0.0771513353115727, "harm_at1": 0.09792284866468842, "nonident_top1": 1.0, "mcnemar_p": 0.4349928051221534, "n_distinct_top1": 1, "top_nonidentity": [{"layer_path": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "n": 337}], "per_question": [{"query_id": "MATH/train/counting_and_probability/101.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1173.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1525.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1085.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/136.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1563.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1396.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/1078.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/384.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/291.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/1128.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1990.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1843.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/933.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/1041.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/1187.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/33.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/1136.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/1989.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/955.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/771.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/69.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/574.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/1205.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/precalculus/598.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/1170.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/663.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/413.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/algebra/467.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/381.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/algebra/1176.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/671.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/1143.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/24453.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/276.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2139.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/1966.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/475.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/633.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/45.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/720.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1689.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/43.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/25200.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2083.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/799.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/121.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1871.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/972.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/387.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/644.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1242.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/592.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/377.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1397.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/979.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/2162.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/282.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/516.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/347.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/32.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1158.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/294.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/503.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/74.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/467.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/453.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/855.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2443.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1366.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/precalculus/290.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/649.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1078.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2795.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/179.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/985.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2646.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/82.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/geometry/203.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1563.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2580.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/380.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1983.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/542.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/algebra/1761.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/precalculus/670.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/700.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/4.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/number_theory/741.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/180.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/549.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/408.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/2050.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/599.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/386.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/1516.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/1881.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/742.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/834.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/97.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1389.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/397.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/223.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/440.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/number_theory/485.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/751.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/229.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/geometry/1145.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2336.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1016.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/453.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/algebra/25115.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1496.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/401.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/geometry/25086.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/743.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/221.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/1127.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/geometry/52.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/algebra/501.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/570.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/154.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1313.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/31.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/286.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/268.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2679.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/736.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/760.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/1478.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1435.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/328.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1874.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1395.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/637.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/799.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/407.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/1054.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/precalculus/619.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/algebra/1127.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/geometry/548.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/86.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/57.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/24842.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/191.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2540.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/239.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1045.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/geometry/1030.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/534.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/822.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/798.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/843.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/87.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/970.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/243.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1449.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/60.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/geometry/744.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/number_theory/578.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/precalculus/171.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1338.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/9.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/1077.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/523.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/174.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/16.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/358.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/652.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/507.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/332.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/901.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/algebra/609.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/316.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/112.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/68.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/45.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/344.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/2062.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/1040.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/630.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/340.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/338.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/191.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/214.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/96.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/algebra/169.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/735.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/algebra/2118.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/precalculus/787.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1418.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1662.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/776.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1881.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/804.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/508.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/319.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1685.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/1100.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/899.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/533.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/222.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/precalculus/120.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/313.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/476.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1574.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/778.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/geometry/847.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/370.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/548.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/175.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/1061.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/116.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/156.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1161.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/677.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/precalculus/942.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/61.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/724.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1062.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/81.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/587.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1938.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/799.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/1491.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/440.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/2070.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/487.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/593.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/1047.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1256.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/692.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/91.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/1224.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/830.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/precalculus/480.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/558.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/670.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/87.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/1126.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/573.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/210.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1155.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/423.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/1051.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/665.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/1383.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/947.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/425.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1313.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/algebra/376.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/563.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/782.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/246.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/1451.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/376.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/16.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/490.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/1246.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1979.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/554.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/989.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/426.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/594.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/number_theory/797.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/number_theory/972.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/number_theory/484.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/487.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/313.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1092.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/1280.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/precalculus/264.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2134.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/349.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/376.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/728.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/precalculus/784.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1985.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1293.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1573.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/507.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/528.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/1266.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/757.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/1042.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/857.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/407.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1825.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/627.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/number_theory/399.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/174.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/648.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/313.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2571.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1383.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1621.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/number_theory/119.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/950.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1881.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/60.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/number_theory/799.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1394.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/439.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/precalculus/391.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/180.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1456.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1903.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/1259.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/290.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/814.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/120.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/899.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/number_theory/256.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/geometry/1019.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/577.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/128.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/546.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2291.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/97.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/2031.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/2446.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/339.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/685.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/840.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/231.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/precalculus/317.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1603.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/2072.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/355.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1738.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2450.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/392.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/522.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/130.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/20.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/915.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/236.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}]}, "all_val": [{"params": {"program": 20, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "train_prior": 0.5372}, "val": {"pass_at": [0.16568047337278108, 0.26627218934911245, 0.33727810650887574, 0.3609467455621302, 0.38461538461538464], "identity_acc": 0.27218934911242604, "rescue_at1": 0.04142011834319527, "harm_at1": 0.14792899408284024, "nonident_top1": 1.0}}, {"params": {"program": 65, "layer_path": [0, 1, 2, 3, 3, 4, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.488}, "val": {"pass_at": [0.17751479289940827, 0.26627218934911245, 0.33727810650887574, 0.3609467455621302, 0.38461538461538464], "identity_acc": 0.27218934911242604, "rescue_at1": 0.0650887573964497, "harm_at1": 0.15976331360946747, "nonident_top1": 1.0}}, {"params": {"program": 18, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "train_prior": 0.4736}, "val": {"pass_at": [0.1834319526627219, 0.27218934911242604, 0.33727810650887574, 0.3609467455621302, 0.38461538461538464], "identity_acc": 0.27218934911242604, "rescue_at1": 0.0650887573964497, "harm_at1": 0.15384615384615385, "nonident_top1": 1.0}}, {"params": {"program": 66, "layer_path": [0, 1, 2, 3, 5, 6, 7, 8, 9, 10, 11, 12, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 24, 25, 26, 27], "train_prior": 0.4579}, "val": {"pass_at": [0.17751479289940827, 0.25443786982248523, 0.3136094674556213, 0.3609467455621302, 0.38461538461538464], "identity_acc": 0.27218934911242604, "rescue_at1": 0.04142011834319527, "harm_at1": 0.13609467455621302, "nonident_top1": 1.0}}, {"params": {"program": 67, "layer_path": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.4579}, "val": {"pass_at": [0.15384615384615385, 0.23668639053254437, 0.2958579881656805, 0.3609467455621302, 0.38461538461538464], "identity_acc": 0.27218934911242604, "rescue_at1": 0.04142011834319527, "harm_at1": 0.15976331360946747, "nonident_top1": 1.0}}, {"params": {"program": 68, "layer_path": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.4579}, "val": {"pass_at": [0.2603550295857988, 0.30177514792899407, 0.35502958579881655, 0.39644970414201186, 0.41420118343195267], "identity_acc": 0.27218934911242604, "rescue_at1": 0.05917159763313609, "harm_at1": 0.07100591715976332, "nonident_top1": 1.0}}, {"params": {"program": 36, "layer_path": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.4308}, "val": {"pass_at": [0.15384615384615385, 0.24260355029585798, 0.28402366863905326, 0.34911242603550297, 0.3727810650887574], "identity_acc": 0.27218934911242604, "rescue_at1": 0.047337278106508875, "harm_at1": 0.16568047337278108, "nonident_top1": 1.0}}, {"params": {"program": 77, "layer_path": [0, 1, 1, 3, 4, 5, 6, 7, 8, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.3991}, "val": {"pass_at": [0.1242603550295858, 0.24260355029585798, 0.2958579881656805, 0.3668639053254438, 0.3905325443786982], "identity_acc": 0.27218934911242604, "rescue_at1": 0.047337278106508875, "harm_at1": 0.1952662721893491, "nonident_top1": 1.0}}, {"params": {"program": 80, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 6, 7, 8, 9, 10, 11, 12, 14, 15, 16, 17, 18, 19, 21, 23, 24, 25, 26, 27], "train_prior": 0.3991}, "val": {"pass_at": [0.08284023668639054, 0.21893491124260356, 0.30177514792899407, 0.3668639053254438, 0.38461538461538464], "identity_acc": 0.27218934911242604, "rescue_at1": 0.023668639053254437, "harm_at1": 0.21301775147928995, "nonident_top1": 1.0}}, {"params": {"program": 24, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "train_prior": 0.3659}, "val": {"pass_at": [0.14201183431952663, 0.20710059171597633, 0.2958579881656805, 0.3431952662721893, 0.3668639053254438], "identity_acc": 0.27218934911242604, "rescue_at1": 0.03550295857988166, "harm_at1": 0.16568047337278108, "nonident_top1": 1.0}}, {"params": {"program": 100, "layer_path": [0, 1, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 12, 13, 14, 15, 16, 17, 18, 19, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.3615}, "val": {"pass_at": [0.023668639053254437, 0.17751479289940827, 0.27218934911242604, 0.3431952662721893, 0.3668639053254438], "identity_acc": 0.27218934911242604, "rescue_at1": 0.011834319526627219, "harm_at1": 0.2603550295857988, "nonident_top1": 1.0}}, {"params": {"program": 76, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 11, 12, 14, 15, 16, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.3538}, "val": {"pass_at": [0.1301775147928994, 0.2603550295857988, 0.31952662721893493, 0.378698224852071, 0.39644970414201186], "identity_acc": 0.27218934911242604, "rescue_at1": 0.05325443786982249, "harm_at1": 0.1952662721893491, "nonident_top1": 1.0}}, {"params": {"program": 33, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "train_prior": 0.352}, "val": {"pass_at": [0.2485207100591716, 0.30177514792899407, 0.3609467455621302, 0.40236686390532544, 0.41420118343195267], "identity_acc": 0.27218934911242604, "rescue_at1": 0.047337278106508875, "harm_at1": 0.07100591715976332, "nonident_top1": 1.0}}, {"params": {"program": 130, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 9, 10, 11, 10, 11, 12, 13, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.3417}, "val": {"pass_at": [0.1242603550295858, 0.22485207100591717, 0.28994082840236685, 0.34911242603550297, 0.3668639053254438], "identity_acc": 0.27218934911242604, "rescue_at1": 0.01775147928994083, "harm_at1": 0.16568047337278108, "nonident_top1": 1.0}}, {"params": {"program": 93, "layer_path": [0, 1, 2, 3, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 24, 25, 26, 27], "train_prior": 0.3402}, "val": {"pass_at": [0.1893491124260355, 0.26627218934911245, 0.3254437869822485, 0.3727810650887574, 0.38461538461538464], "identity_acc": 0.27218934911242604, "rescue_at1": 0.05917159763313609, "harm_at1": 0.14201183431952663, "nonident_top1": 1.0}}, {"params": {"program": 57, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 16, 17, 18, 19, 20, 21, 22, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.3378}, "val": {"pass_at": [0.1301775147928994, 0.24260355029585798, 0.33136094674556216, 0.3905325443786982, 0.40236686390532544], "identity_acc": 0.27218934911242604, "rescue_at1": 0.023668639053254437, "harm_at1": 0.16568047337278108, "nonident_top1": 1.0}}, {"params": {"program": 15, "layer_path": [0, 1, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.3255}, "val": {"pass_at": [0.08284023668639054, 0.21301775147928995, 0.3076923076923077, 0.3609467455621302, 0.38461538461538464], "identity_acc": 0.27218934911242604, "rescue_at1": 0.029585798816568046, "harm_at1": 0.21893491124260356, "nonident_top1": 1.0}}, {"params": {"program": 72, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 21, 23, 24, 25, 26, 27], "train_prior": 0.3243}, "val": {"pass_at": [0.14201183431952663, 0.25443786982248523, 0.3254437869822485, 0.3727810650887574, 0.38461538461538464], "identity_acc": 0.27218934911242604, "rescue_at1": 0.05325443786982249, "harm_at1": 0.1834319526627219, "nonident_top1": 1.0}}, {"params": {"program": 78, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 10, 11, 12, 13, 14, 15, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "train_prior": 0.3231}, "val": {"pass_at": [0.08875739644970414, 0.20710059171597633, 0.30177514792899407, 0.3609467455621302, 0.378698224852071], "identity_acc": 0.27218934911242604, "rescue_at1": 0.04142011834319527, "harm_at1": 0.22485207100591717, "nonident_top1": 1.0}}, {"params": {"program": 83, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 7, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 25, 26, 27], "train_prior": 0.3231}, "val": {"pass_at": [0.14201183431952663, 0.2485207100591716, 0.3136094674556213, 0.35502958579881655, 0.3727810650887574], "identity_acc": 0.27218934911242604, "rescue_at1": 0.047337278106508875, "harm_at1": 0.17751479289940827, "nonident_top1": 1.0}}]}}}
polar_split/fixed_program/llama32_3b/polar_default/seed42/diff2/fold1.json ADDED
@@ -0,0 +1 @@
 
 
1
+ {"difficulty": 2, "menu_size": 166, "prompt_style": "raw", "samples": "/app/data/router_data/theirsplit_cv/l3b_lpselraw_diff2_f1.json", "n": {"train": 843, "val": 169, "test": 337}, "methods": {"fixed": {"winner": {"program": 126, "layer_path": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.3406}, "val": {"pass_at": [0.27218934911242604, 0.31952662721893493, 0.3727810650887574, 0.41420118343195267, 0.4437869822485207], "identity_acc": 0.26627218934911245, "rescue_at1": 0.08284023668639054, "harm_at1": 0.07692307692307693, "nonident_top1": 1.0}, "test": {"pass_at": [0.24925816023738873, 0.3293768545994065, 0.3798219584569733, 0.41543026706231456, 0.43026706231454004], "identity_acc": 0.3086053412462908, "rescue_at1": 0.05637982195845697, "harm_at1": 0.11572700296735905, "nonident_top1": 1.0, "mcnemar_p": 0.011928139715763175, "n_distinct_top1": 1, "top_nonidentity": [{"layer_path": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "n": 337}], "per_question": [{"query_id": "MATH/train/prealgebra/921.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/1141.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/287.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/538.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/281.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/494.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/732.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2354.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1596.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/609.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/algebra/1402.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/268.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/24403.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/959.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1159.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/precalculus/888.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/522.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/2575.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/773.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/225.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/1264.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2697.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1237.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1531.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/112.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/813.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/2198.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1763.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2454.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/number_theory/465.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/geometry/230.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1346.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/1105.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2124.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/2431.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1942.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/562.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1974.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/1277.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1943.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2802.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/642.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/27.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/precalculus/385.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/52.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/715.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/655.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/383.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/785.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/geometry/378.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/1062.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2811.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2636.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/24621.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1259.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/944.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/833.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1751.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/672.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/787.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1031.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/1780.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/539.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1561.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/90.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/906.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/368.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/precalculus/1269.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/700.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1963.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/787.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/891.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/algebra/1989.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1156.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2545.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1027.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/802.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/19.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/geometry/820.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/1340.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/1971.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/geometry/831.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1922.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/547.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/719.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/350.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/geometry/536.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2684.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/240.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/517.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/952.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/491.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1311.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1872.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1478.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/791.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/424.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/580.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/geometry/755.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2776.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/algebra/1559.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/1308.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/28.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/794.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/563.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/869.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1766.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/186.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/24139.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/226.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/1162.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1927.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/1410.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1747.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/278.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/529.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/208.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1307.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/820.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/249.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/819.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/827.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/721.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/93.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2132.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/549.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/819.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1690.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1916.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/2478.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/524.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1671.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1010.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/31.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/142.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/385.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/828.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/269.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/number_theory/906.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/465.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/1481.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1048.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/219.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1699.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/294.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/147.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/1140.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1885.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/823.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/60.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/121.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1293.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/707.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/389.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/number_theory/527.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2764.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/463.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/263.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/949.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/361.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2348.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/373.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/144.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/345.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/number_theory/550.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1482.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/525.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1756.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/742.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1681.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/algebra/24629.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2250.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/128.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/1065.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2158.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/170.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/540.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/853.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/875.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/52.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/211.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/363.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/number_theory/724.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/precalculus/104.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/54.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/92.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/565.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/631.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/767.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/2667.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2128.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/604.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/784.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/672.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/150.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/373.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/49.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1744.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/995.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/844.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/635.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/number_theory/1007.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/number_theory/401.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1651.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/568.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/606.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/20.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/683.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/1839.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1721.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/518.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/1766.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/precalculus/578.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1721.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/2069.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1089.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/774.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2034.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/algebra/1174.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/precalculus/9.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1540.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/976.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/531.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/541.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1718.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1939.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/746.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/218.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/geometry/987.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/743.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/457.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/1921.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/517.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/precalculus/813.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/2083.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1060.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/1015.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1196.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1538.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/286.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/1665.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/geometry/133.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/815.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1826.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/647.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/275.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/number_theory/176.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/1113.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/24503.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/827.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/precalculus/1075.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/120.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/943.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/716.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2312.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1138.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/194.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/405.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/315.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/25070.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/precalculus/795.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/number_theory/334.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/480.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/374.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/262.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/179.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/909.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/661.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/11.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/730.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/765.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/1453.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/75.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/precalculus/1116.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/118.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/1251.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/778.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/202.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/696.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/484.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/1584.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/418.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/680.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/precalculus/273.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/522.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/number_theory/197.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/number_theory/851.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/precalculus/231.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/668.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/precalculus/928.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1173.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/178.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/number_theory/282.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/1381.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/700.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/315.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/655.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/738.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/299.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/343.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/516.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/885.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/2775.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/precalculus/635.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2205.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/640.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/2343.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/800.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/386.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/geometry/821.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1847.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/994.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1653.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/algebra/2500.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/954.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/220.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1072.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/143.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/precalculus/134.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/209.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/52.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1653.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/2645.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/178.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/1094.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/407.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/120.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/6.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1956.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/1085.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/397.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/344.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/29.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/337.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/79.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/817.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/125.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}]}, "all_val": [{"params": {"program": 20, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "train_prior": 0.5057}, "val": {"pass_at": [0.20118343195266272, 0.3136094674556213, 0.378698224852071, 0.41420118343195267, 0.4437869822485207], "identity_acc": 0.26627218934911245, "rescue_at1": 0.04142011834319527, "harm_at1": 0.10650887573964497, "nonident_top1": 1.0}}, {"params": {"program": 51, "layer_path": [0, 1, 2, 3, 3, 4, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.4884}, "val": {"pass_at": [0.20710059171597633, 0.3136094674556213, 0.378698224852071, 0.41420118343195267, 0.4437869822485207], "identity_acc": 0.26627218934911245, "rescue_at1": 0.08875739644970414, "harm_at1": 0.14792899408284024, "nonident_top1": 1.0}}, {"params": {"program": 17, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "train_prior": 0.4662}, "val": {"pass_at": [0.24260355029585798, 0.28994082840236685, 0.378698224852071, 0.41420118343195267, 0.4437869822485207], "identity_acc": 0.26627218934911245, "rescue_at1": 0.08284023668639054, "harm_at1": 0.10650887573964497, "nonident_top1": 1.0}}, {"params": {"program": 32, "layer_path": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.4615}, "val": {"pass_at": [0.17159763313609466, 0.28402366863905326, 0.35502958579881655, 0.41420118343195267, 0.4437869822485207], "identity_acc": 0.26627218934911245, "rescue_at1": 0.07692307692307693, "harm_at1": 0.17159763313609466, "nonident_top1": 1.0}}, {"params": {"program": 63, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 10, 11, 12, 13, 14, 15, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "train_prior": 0.3986}, "val": {"pass_at": [0.09467455621301775, 0.24260355029585798, 0.34911242603550297, 0.40828402366863903, 0.4437869822485207], "identity_acc": 0.26627218934911245, "rescue_at1": 0.04142011834319527, "harm_at1": 0.21301775147928995, "nonident_top1": 1.0}}, {"params": {"program": 80, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 6, 7, 8, 9, 10, 11, 12, 14, 15, 16, 17, 18, 19, 21, 23, 24, 25, 26, 27], "train_prior": 0.3982}, "val": {"pass_at": [0.08284023668639054, 0.23076923076923078, 0.33136094674556216, 0.39644970414201186, 0.4319526627218935], "identity_acc": 0.26627218934911245, "rescue_at1": 0.04142011834319527, "harm_at1": 0.22485207100591717, "nonident_top1": 1.0}}, {"params": {"program": 73, "layer_path": [0, 1, 2, 3, 3, 4, 4, 5, 6, 7, 8, 9, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.3884}, "val": {"pass_at": [0.11834319526627218, 0.25443786982248523, 0.33727810650887574, 0.40236686390532544, 0.4319526627218935], "identity_acc": 0.26627218934911245, "rescue_at1": 0.03550295857988166, "harm_at1": 0.1834319526627219, "nonident_top1": 1.0}}, {"params": {"program": 60, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 11, 12, 14, 15, 16, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.3812}, "val": {"pass_at": [0.08875739644970414, 0.23668639053254437, 0.33136094674556216, 0.39644970414201186, 0.4319526627218935], "identity_acc": 0.26627218934911245, "rescue_at1": 0.023668639053254437, "harm_at1": 0.20118343195266272, "nonident_top1": 1.0}}, {"params": {"program": 69, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 23, 23, 24, 25, 27], "train_prior": 0.3699}, "val": {"pass_at": [0.14201183431952663, 0.26627218934911245, 0.3668639053254438, 0.4319526627218935, 0.46745562130177515], "identity_acc": 0.26627218934911245, "rescue_at1": 0.047337278106508875, "harm_at1": 0.17159763313609466, "nonident_top1": 1.0}}, {"params": {"program": 72, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 21, 23, 24, 25, 26, 27], "train_prior": 0.3699}, "val": {"pass_at": [0.1834319526627219, 0.28402366863905326, 0.3668639053254438, 0.4260355029585799, 0.46153846153846156], "identity_acc": 0.26627218934911245, "rescue_at1": 0.0650887573964497, "harm_at1": 0.14792899408284024, "nonident_top1": 1.0}}, {"params": {"program": 21, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "train_prior": 0.3601}, "val": {"pass_at": [0.17751479289940827, 0.24260355029585798, 0.3431952662721893, 0.39644970414201186, 0.4319526627218935], "identity_acc": 0.26627218934911245, "rescue_at1": 0.047337278106508875, "harm_at1": 0.13609467455621302, "nonident_top1": 1.0}}, {"params": {"program": 124, "layer_path": [0, 1, 2, 3, 5, 6, 7, 8, 9, 10, 11, 12, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 24, 25, 26, 27], "train_prior": 0.3406}, "val": {"pass_at": [0.11834319526627218, 0.26627218934911245, 0.3609467455621302, 0.40828402366863903, 0.4437869822485207], "identity_acc": 0.26627218934911245, "rescue_at1": 0.029585798816568046, "harm_at1": 0.17751479289940827, "nonident_top1": 1.0}}, {"params": {"program": 125, "layer_path": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.3406}, "val": {"pass_at": [0.21301775147928995, 0.27218934911242604, 0.33727810650887574, 0.39644970414201186, 0.4319526627218935], "identity_acc": 0.26627218934911245, "rescue_at1": 0.08284023668639054, "harm_at1": 0.13609467455621302, "nonident_top1": 1.0}}, {"params": {"program": 126, "layer_path": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.3406}, "val": {"pass_at": [0.27218934911242604, 0.31952662721893493, 0.3727810650887574, 0.41420118343195267, 0.4437869822485207], "identity_acc": 0.26627218934911245, "rescue_at1": 0.08284023668639054, "harm_at1": 0.07692307692307693, "nonident_top1": 1.0}}, {"params": {"program": 129, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 9, 10, 11, 10, 11, 12, 13, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.3406}, "val": {"pass_at": [0.14201183431952663, 0.2781065088757396, 0.3668639053254438, 0.42011834319526625, 0.44970414201183434], "identity_acc": 0.26627218934911245, "rescue_at1": 0.05325443786982249, "harm_at1": 0.17751479289940827, "nonident_top1": 1.0}}, {"params": {"program": 131, "layer_path": [0, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 13, 14, 15, 16, 17, 18, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.3406}, "val": {"pass_at": [0.05917159763313609, 0.2485207100591716, 0.3431952662721893, 0.40236686390532544, 0.4378698224852071], "identity_acc": 0.26627218934911245, "rescue_at1": 0.029585798816568046, "harm_at1": 0.23668639053254437, "nonident_top1": 1.0}}, {"params": {"program": 33, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "train_prior": 0.3357}, "val": {"pass_at": [0.23668639053254437, 0.2781065088757396, 0.3727810650887574, 0.4260355029585799, 0.44970414201183434], "identity_acc": 0.26627218934911245, "rescue_at1": 0.047337278106508875, "harm_at1": 0.07692307692307693, "nonident_top1": 1.0}}, {"params": {"program": 95, "layer_path": [0, 1, 2, 3, 4, 5, 6, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 17, 18, 19, 20, 21, 23, 24, 25, 26, 27], "train_prior": 0.3205}, "val": {"pass_at": [0.14201183431952663, 0.28402366863905326, 0.3668639053254438, 0.42011834319526625, 0.44970414201183434], "identity_acc": 0.26627218934911245, "rescue_at1": 0.05917159763313609, "harm_at1": 0.1834319526627219, "nonident_top1": 1.0}}, {"params": {"program": 66, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 22, 23, 23, 24, 25, 26, 27], "train_prior": 0.3132}, "val": {"pass_at": [0.22485207100591717, 0.30177514792899407, 0.3727810650887574, 0.41420118343195267, 0.44970414201183434], "identity_acc": 0.26627218934911245, "rescue_at1": 0.07100591715976332, "harm_at1": 0.11242603550295859, "nonident_top1": 1.0}}, {"params": {"program": 50, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "train_prior": 0.3053}, "val": {"pass_at": [0.07692307692307693, 0.23668639053254437, 0.33136094674556216, 0.39644970414201186, 0.4319526627218935], "identity_acc": 0.26627218934911245, "rescue_at1": 0.023668639053254437, "harm_at1": 0.21301775147928995, "nonident_top1": 1.0}}]}}}
polar_split/fixed_program/llama32_3b/polar_default/seed42/diff2/fold2.json ADDED
@@ -0,0 +1 @@
 
 
1
+ {"difficulty": 2, "menu_size": 166, "prompt_style": "raw", "samples": "/app/data/router_data/theirsplit_cv/l3b_lpselraw_diff2_f2.json", "n": {"train": 842, "val": 169, "test": 338}, "methods": {"fixed": {"winner": {"program": 71, "layer_path": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.4547}, "val": {"pass_at": [0.27218934911242604, 0.31952662721893493, 0.3727810650887574, 0.41420118343195267, 0.4437869822485207], "identity_acc": 0.26627218934911245, "rescue_at1": 0.08284023668639054, "harm_at1": 0.07692307692307693, "nonident_top1": 1.0}, "test": {"pass_at": [0.26331360946745563, 0.34023668639053256, 0.38461538461538464, 0.40236686390532544, 0.4319526627218935], "identity_acc": 0.28106508875739644, "rescue_at1": 0.06804733727810651, "harm_at1": 0.08579881656804733, "nonident_top1": 1.0, "mcnemar_p": 0.48845566937989204, "n_distinct_top1": 1, "top_nonidentity": [{"layer_path": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "n": 338}], "per_question": [{"query_id": "MATH/train/algebra/1074.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2044.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/518.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2634.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/730.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/427.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2175.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/1598.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/396.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/272.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/233.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1124.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2464.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/153.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/127.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/number_theory/164.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/1835.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/1219.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1537.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/18.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/1244.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/378.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/948.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/385.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/608.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/490.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1862.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/983.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/algebra/1230.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/127.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/762.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/314.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/693.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/417.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/267.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1120.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/716.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/1254.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/1817.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/168.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/1958.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/782.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/672.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/706.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/geometry/649.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/706.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/431.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/2106.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/448.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/366.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/1683.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1310.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/1266.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/40.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/1280.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/821.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/397.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/precalculus/220.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/179.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/1352.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1566.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/number_theory/189.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/420.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/1113.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/25337.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/982.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/966.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/491.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1298.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/25257.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/1960.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/2041.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/646.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/838.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/44.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/556.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/681.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/2012.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/1063.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/653.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/65.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/638.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/283.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/589.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1933.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/geometry/166.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/981.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1344.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1460.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1927.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/352.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/736.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/algebra/25473.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/142.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/precalculus/240.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/534.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/253.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1771.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/888.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/2137.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2123.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/197.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/776.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/198.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/2025.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/433.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/301.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1833.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1383.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/297.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/429.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/geometry/165.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1914.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/number_theory/52.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/32.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/186.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/algebra/2279.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/826.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/567.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/705.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/922.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/997.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/365.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/2164.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/754.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/291.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/130.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1440.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/1023.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/1230.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/62.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/317.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/679.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1711.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/23905.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1469.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/401.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/722.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/607.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/number_theory/44.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/algebra/766.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/464.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/377.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/159.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/1008.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/39.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/1268.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/491.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/235.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/562.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/precalculus/1197.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/669.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/325.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1171.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/277.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/18.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/369.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1867.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/444.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/number_theory/579.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/285.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/683.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/319.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/geometry/829.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/721.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/2639.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/273.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/246.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/131.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/1577.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1777.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/305.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/678.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/702.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/603.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/63.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/1285.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1371.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/1254.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/437.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/geometry/752.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/634.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/470.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/312.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/geometry/117.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/450.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2247.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1127.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/precalculus/339.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/980.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/364.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1051.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/number_theory/307.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/115.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/741.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1309.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/2116.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/2794.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1152.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1299.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/605.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/202.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/number_theory/662.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/2044.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/geometry/184.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/number_theory/712.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/905.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/76.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/678.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/410.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/353.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/1043.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/214.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/524.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/512.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/406.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/1583.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/691.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/algebra/1276.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/algebra/92.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/number_theory/78.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/90.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/number_theory/230.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/901.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/1079.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1094.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/273.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1904.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/400.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/175.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/1309.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/230.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/2181.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1393.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/400.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/916.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/930.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1394.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/193.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/38.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/precalculus/70.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1333.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/1919.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/642.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/282.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/59.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/precalculus/918.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/precalculus/1268.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/precalculus/64.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/1713.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1674.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/227.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/839.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/geometry/995.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/243.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/precalculus/384.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/113.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/767.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1873.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2204.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/202.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/272.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/680.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1326.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/293.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/2640.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/402.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/530.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/251.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/2007.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/precalculus/392.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/608.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/number_theory/264.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/geometry/1049.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/696.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/160.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/precalculus/689.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/833.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1116.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/1213.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/795.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1476.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1959.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/345.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/25348.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/821.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/precalculus/84.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/80.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1532.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/612.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/2758.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/306.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/164.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/720.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2722.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/634.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/800.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/1529.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/557.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/geometry/330.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/174.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/geometry/1011.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/64.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/46.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1127.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/514.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1766.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1081.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/42.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1465.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/algebra/2760.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/number_theory/241.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/822.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/433.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/717.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/precalculus/379.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1667.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/287.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/329.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/325.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1249.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/2104.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/617.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/173.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/2338.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/148.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/707.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/982.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/1040.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/401.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/473.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/752.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/geometry/394.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/83.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/893.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/36.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/155.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/1122.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}]}, "all_val": [{"params": {"program": 22, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "train_prior": 0.5054}, "val": {"pass_at": [0.20118343195266272, 0.3136094674556213, 0.378698224852071, 0.41420118343195267, 0.4319526627218935], "identity_acc": 0.26627218934911245, "rescue_at1": 0.04142011834319527, "harm_at1": 0.10650887573964497, "nonident_top1": 1.0}}, {"params": {"program": 54, "layer_path": [0, 1, 2, 3, 3, 4, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.4865}, "val": {"pass_at": [0.20710059171597633, 0.3136094674556213, 0.378698224852071, 0.41420118343195267, 0.4319526627218935], "identity_acc": 0.26627218934911245, "rescue_at1": 0.08875739644970414, "harm_at1": 0.14792899408284024, "nonident_top1": 1.0}}, {"params": {"program": 18, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "train_prior": 0.4781}, "val": {"pass_at": [0.24260355029585798, 0.28994082840236685, 0.378698224852071, 0.41420118343195267, 0.4319526627218935], "identity_acc": 0.26627218934911245, "rescue_at1": 0.08284023668639054, "harm_at1": 0.10650887573964497, "nonident_top1": 1.0}}, {"params": {"program": 32, "layer_path": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.4603}, "val": {"pass_at": [0.17159763313609466, 0.28402366863905326, 0.35502958579881655, 0.41420118343195267, 0.4319526627218935], "identity_acc": 0.26627218934911245, "rescue_at1": 0.07692307692307693, "harm_at1": 0.17159763313609466, "nonident_top1": 1.0}}, {"params": {"program": 70, "layer_path": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.4547}, "val": {"pass_at": [0.21301775147928995, 0.27218934911242604, 0.33727810650887574, 0.39644970414201186, 0.4319526627218935], "identity_acc": 0.26627218934911245, "rescue_at1": 0.08284023668639054, "harm_at1": 0.13609467455621302, "nonident_top1": 1.0}}, {"params": {"program": 71, "layer_path": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.4547}, "val": {"pass_at": [0.27218934911242604, 0.31952662721893493, 0.3727810650887574, 0.41420118343195267, 0.4437869822485207], "identity_acc": 0.26627218934911245, "rescue_at1": 0.08284023668639054, "harm_at1": 0.07692307692307693, "nonident_top1": 1.0}}, {"params": {"program": 81, "layer_path": [0, 1, 1, 3, 4, 5, 6, 7, 8, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.3959}, "val": {"pass_at": [0.1242603550295858, 0.26627218934911245, 0.33136094674556216, 0.39644970414201186, 0.4319526627218935], "identity_acc": 0.26627218934911245, "rescue_at1": 0.047337278106508875, "harm_at1": 0.1893491124260355, "nonident_top1": 1.0}}, {"params": {"program": 82, "layer_path": [0, 1, 2, 3, 5, 6, 7, 8, 9, 10, 11, 12, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 24, 25, 26, 27], "train_prior": 0.3959}, "val": {"pass_at": [0.11834319526627218, 0.26627218934911245, 0.3609467455621302, 0.40828402366863903, 0.4437869822485207], "identity_acc": 0.26627218934911245, "rescue_at1": 0.029585798816568046, "harm_at1": 0.17751479289940827, "nonident_top1": 1.0}}, {"params": {"program": 23, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "train_prior": 0.3574}, "val": {"pass_at": [0.17751479289940827, 0.24260355029585798, 0.3431952662721893, 0.39644970414201186, 0.4319526627218935], "identity_acc": 0.26627218934911245, "rescue_at1": 0.047337278106508875, "harm_at1": 0.13609467455621302, "nonident_top1": 1.0}}, {"params": {"program": 42, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 23, 24, 25, 26, 27], "train_prior": 0.3555}, "val": {"pass_at": [0.20710059171597633, 0.2781065088757396, 0.3609467455621302, 0.41420118343195267, 0.4437869822485207], "identity_acc": 0.26627218934911245, "rescue_at1": 0.05325443786982249, "harm_at1": 0.11242603550295859, "nonident_top1": 1.0}}, {"params": {"program": 26, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "train_prior": 0.3477}, "val": {"pass_at": [0.23668639053254437, 0.2781065088757396, 0.3727810650887574, 0.4260355029585799, 0.44970414201183434], "identity_acc": 0.26627218934911245, "rescue_at1": 0.047337278106508875, "harm_at1": 0.07692307692307693, "nonident_top1": 1.0}}, {"params": {"program": 115, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 6, 7, 8, 9, 10, 11, 12, 14, 15, 16, 17, 18, 19, 21, 23, 24, 25, 26, 27], "train_prior": 0.3379}, "val": {"pass_at": [0.08284023668639054, 0.23076923076923078, 0.33136094674556216, 0.39644970414201186, 0.4319526627218935], "identity_acc": 0.26627218934911245, "rescue_at1": 0.04142011834319527, "harm_at1": 0.22485207100591717, "nonident_top1": 1.0}}, {"params": {"program": 91, "layer_path": [0, 1, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 12, 13, 14, 15, 16, 17, 18, 19, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.3371}, "val": {"pass_at": [0.047337278106508875, 0.23076923076923078, 0.3254437869822485, 0.3905325443786982, 0.4260355029585799], "identity_acc": 0.26627218934911245, "rescue_at1": 0.01775147928994083, "harm_at1": 0.23668639053254437, "nonident_top1": 1.0}}, {"params": {"program": 77, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 10, 11, 12, 13, 14, 15, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "train_prior": 0.3365}, "val": {"pass_at": [0.09467455621301775, 0.24260355029585798, 0.34911242603550297, 0.40828402366863903, 0.4437869822485207], "identity_acc": 0.26627218934911245, "rescue_at1": 0.04142011834319527, "harm_at1": 0.21301775147928995, "nonident_top1": 1.0}}, {"params": {"program": 76, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 11, 12, 14, 15, 16, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.3205}, "val": {"pass_at": [0.08875739644970414, 0.23668639053254437, 0.33136094674556216, 0.39644970414201186, 0.4319526627218935], "identity_acc": 0.26627218934911245, "rescue_at1": 0.023668639053254437, "harm_at1": 0.20118343195266272, "nonident_top1": 1.0}}, {"params": {"program": 86, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 23, 23, 24, 25, 27], "train_prior": 0.3016}, "val": {"pass_at": [0.14201183431952663, 0.26627218934911245, 0.3668639053254438, 0.4319526627218935, 0.46745562130177515], "identity_acc": 0.26627218934911245, "rescue_at1": 0.047337278106508875, "harm_at1": 0.17159763313609466, "nonident_top1": 1.0}}, {"params": {"program": 78, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 23, 24, 24, 25, 26, 27], "train_prior": 0.2926}, "val": {"pass_at": [0.1952662721893491, 0.26627218934911245, 0.35502958579881655, 0.40828402366863903, 0.4437869822485207], "identity_acc": 0.26627218934911245, "rescue_at1": 0.04142011834319527, "harm_at1": 0.11242603550295859, "nonident_top1": 1.0}}, {"params": {"program": 141, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 23, 24, 25, 26, 27], "train_prior": 0.287}, "val": {"pass_at": [0.14201183431952663, 0.2603550295857988, 0.3609467455621302, 0.41420118343195267, 0.44970414201183434], "identity_acc": 0.26627218934911245, "rescue_at1": 0.047337278106508875, "harm_at1": 0.17159763313609466, "nonident_top1": 1.0}}, {"params": {"program": 145, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 23, 23, 24, 25, 26, 26, 27], "train_prior": 0.287}, "val": {"pass_at": [0.17751479289940827, 0.27218934911242604, 0.378698224852071, 0.4260355029585799, 0.4556213017751479], "identity_acc": 0.26627218934911245, "rescue_at1": 0.05917159763313609, "harm_at1": 0.14792899408284024, "nonident_top1": 1.0}}, {"params": {"program": 9, "layer_path": [0, 1, 3, 4, 5, 6, 7, 8, 9, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.2866}, "val": {"pass_at": [0.16568047337278108, 0.2958579881656805, 0.3668639053254438, 0.4260355029585799, 0.46153846153846156], "identity_acc": 0.26627218934911245, "rescue_at1": 0.0650887573964497, "harm_at1": 0.16568047337278108, "nonident_top1": 1.0}}]}}}
polar_split/fixed_program/llama32_3b/polar_default/seed42/diff2/fold3.json ADDED
@@ -0,0 +1 @@
 
 
1
+ {"difficulty": 2, "menu_size": 168, "prompt_style": "raw", "samples": "/app/data/router_data/theirsplit_cv/l3b_lpselraw_diff2_f3.json", "n": {"train": 843, "val": 169, "test": 337}, "methods": {"fixed": {"winner": {"program": 75, "layer_path": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.4558}, "val": {"pass_at": [0.27218934911242604, 0.31952662721893493, 0.3727810650887574, 0.38461538461538464, 0.39644970414201186], "identity_acc": 0.26627218934911245, "rescue_at1": 0.08284023668639054, "harm_at1": 0.07692307692307693, "nonident_top1": 1.0}, "test": {"pass_at": [0.2997032640949555, 0.3857566765578635, 0.42433234421364985, 0.4332344213649852, 0.456973293768546], "identity_acc": 0.3353115727002967, "rescue_at1": 0.0712166172106825, "harm_at1": 0.10682492581602374, "nonident_top1": 1.0, "mcnemar_p": 0.1550019040032606, "n_distinct_top1": 1, "top_nonidentity": [{"layer_path": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "n": 337}], "per_question": [{"query_id": "MATH/train/number_theory/730.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/217.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/number_theory/649.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/996.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/1049.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/211.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/278.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1664.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/1196.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1783.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/1889.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/887.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1763.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/453.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/71.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/551.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/2171.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/234.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1941.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1759.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/507.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/197.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/482.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1537.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/415.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/560.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/number_theory/1166.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/1463.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/346.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/961.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/geometry/840.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1636.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1539.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/600.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/precalculus/682.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/16.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/583.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/646.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/180.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/765.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/562.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/1158.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/671.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/number_theory/26.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/674.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/223.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/220.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/1296.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1720.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/665.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/precalculus/306.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/number_theory/152.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/2136.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/616.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/633.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/1622.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1645.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1285.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/1129.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/804.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2824.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/791.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/461.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/492.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/552.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/precalculus/446.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1647.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1021.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/1167.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2383.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/number_theory/6.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1944.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/2586.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/255.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1174.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/1841.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/529.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/315.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/369.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/256.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/54.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/102.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1228.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/753.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/1062.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/76.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/973.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/677.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/1229.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/434.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/2420.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/334.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/90.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1817.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/952.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/2053.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/417.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/27.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/753.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1010.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/213.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/535.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/1472.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/875.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/precalculus/99.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/2071.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/1414.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/982.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/algebra/1727.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/976.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/683.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1475.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/737.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/number_theory/286.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/precalculus/576.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/981.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/26.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/908.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/545.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/417.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/1018.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2379.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/860.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/468.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/835.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/474.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/number_theory/1100.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/precalculus/445.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/865.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/2004.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/270.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/505.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1207.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/precalculus/1053.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1692.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/561.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2347.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/1706.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1207.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/786.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/8.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/854.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/number_theory/478.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/precalculus/258.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/2016.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/381.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/number_theory/785.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1905.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/1219.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/169.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/137.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/292.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/871.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/543.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/678.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/942.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/891.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/1984.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/456.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/1059.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/871.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/190.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/1094.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/1042.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/533.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/1209.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/152.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/1590.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1832.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/355.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/1071.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/237.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1305.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/830.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/18.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/2180.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/942.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/2161.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/precalculus/368.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/2610.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1099.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/673.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1367.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2042.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/712.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/1972.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/365.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/307.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/465.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1335.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/1544.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/285.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/19.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/precalculus/414.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/333.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/330.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/950.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/338.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/367.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1412.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/precalculus/82.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/578.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/940.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/1690.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/892.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/658.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/79.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/precalculus/698.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1106.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/precalculus/472.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/1097.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/number_theory/217.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/920.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/290.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/904.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1245.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/geometry/298.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/358.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/550.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/118.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/209.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/algebra/2836.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/391.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/24118.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/1069.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/262.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1593.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1026.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/1027.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1017.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/precalculus/124.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/811.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/200.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/471.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1035.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/502.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/number_theory/522.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/66.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/precalculus/554.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1579.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/735.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/42.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2466.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2148.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1955.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/geometry/618.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/precalculus/358.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1481.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/316.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/346.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/291.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/148.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/287.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/95.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/2175.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/997.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/161.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/2492.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/14.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1384.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/1192.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/687.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/252.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/603.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/654.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/530.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/693.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/368.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1483.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/717.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1825.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/2729.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/229.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/38.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/29.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2367.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/2490.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1493.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/67.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/607.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/geometry/239.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/96.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/833.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/386.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2061.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/409.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/314.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/532.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/264.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/354.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1016.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/precalculus/502.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/number_theory/637.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/25190.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1222.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/705.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2059.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/62.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/47.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1377.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/943.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/729.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/611.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/precalculus/709.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/precalculus/340.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/2145.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1281.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/931.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/2608.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/783.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/1917.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/521.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2245.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/algebra/2573.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/2004.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/676.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/precalculus/232.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/564.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/427.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/precalculus/400.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/25326.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/589.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1228.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/582.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/361.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/89.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/precalculus/1068.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/1085.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1958.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1861.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/721.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/2085.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/399.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/610.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/1617.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/1039.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/number_theory/420.json", "top1": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}]}, "all_val": [{"params": {"program": 22, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "train_prior": 0.5058}, "val": {"pass_at": [0.20118343195266272, 0.3136094674556213, 0.3254437869822485, 0.3431952662721893, 0.35502958579881655], "identity_acc": 0.26627218934911245, "rescue_at1": 0.04142011834319527, "harm_at1": 0.10650887573964497, "nonident_top1": 1.0}}, {"params": {"program": 51, "layer_path": [0, 1, 2, 3, 3, 4, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.4875}, "val": {"pass_at": [0.20710059171597633, 0.3136094674556213, 0.3254437869822485, 0.3431952662721893, 0.35502958579881655], "identity_acc": 0.26627218934911245, "rescue_at1": 0.08875739644970414, "harm_at1": 0.14792899408284024, "nonident_top1": 1.0}}, {"params": {"program": 56, "layer_path": [0, 1, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 12, 13, 14, 15, 16, 17, 18, 19, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.4605}, "val": {"pass_at": [0.047337278106508875, 0.23076923076923078, 0.3254437869822485, 0.3431952662721893, 0.35502958579881655], "identity_acc": 0.26627218934911245, "rescue_at1": 0.01775147928994083, "harm_at1": 0.23668639053254437, "nonident_top1": 1.0}}, {"params": {"program": 73, "layer_path": [0, 1, 1, 3, 4, 5, 6, 7, 8, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.4558}, "val": {"pass_at": [0.1242603550295858, 0.26627218934911245, 0.33136094674556216, 0.3431952662721893, 0.35502958579881655], "identity_acc": 0.26627218934911245, "rescue_at1": 0.047337278106508875, "harm_at1": 0.1893491124260355, "nonident_top1": 1.0}}, {"params": {"program": 74, "layer_path": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.4558}, "val": {"pass_at": [0.21301775147928995, 0.27218934911242604, 0.33727810650887574, 0.34911242603550297, 0.35502958579881655], "identity_acc": 0.26627218934911245, "rescue_at1": 0.08284023668639054, "harm_at1": 0.13609467455621302, "nonident_top1": 1.0}}, {"params": {"program": 75, "layer_path": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.4558}, "val": {"pass_at": [0.27218934911242604, 0.31952662721893493, 0.3727810650887574, 0.38461538461538464, 0.39644970414201186], "identity_acc": 0.26627218934911245, "rescue_at1": 0.08284023668639054, "harm_at1": 0.07692307692307693, "nonident_top1": 1.0}}, {"params": {"program": 19, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "train_prior": 0.4356}, "val": {"pass_at": [0.24260355029585798, 0.28994082840236685, 0.378698224852071, 0.3905325443786982, 0.40828402366863903], "identity_acc": 0.26627218934911245, "rescue_at1": 0.08284023668639054, "harm_at1": 0.10650887573964497, "nonident_top1": 1.0}}, {"params": {"program": 90, "layer_path": [0, 1, 2, 3, 5, 6, 7, 8, 9, 10, 11, 12, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 24, 25, 26, 27], "train_prior": 0.397}, "val": {"pass_at": [0.11834319526627218, 0.26627218934911245, 0.3609467455621302, 0.3668639053254438, 0.378698224852071], "identity_acc": 0.26627218934911245, "rescue_at1": 0.029585798816568046, "harm_at1": 0.17751479289940827, "nonident_top1": 1.0}}, {"params": {"program": 69, "layer_path": [0, 1, 2, 3, 3, 4, 4, 5, 6, 7, 8, 9, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.3875}, "val": {"pass_at": [0.11834319526627218, 0.25443786982248523, 0.33727810650887574, 0.34911242603550297, 0.3609467455621302], "identity_acc": 0.26627218934911245, "rescue_at1": 0.03550295857988166, "harm_at1": 0.1834319526627219, "nonident_top1": 1.0}}, {"params": {"program": 47, "layer_path": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.3707}, "val": {"pass_at": [0.17159763313609466, 0.28402366863905326, 0.35502958579881655, 0.3668639053254438, 0.38461538461538464], "identity_acc": 0.26627218934911245, "rescue_at1": 0.07692307692307693, "harm_at1": 0.17159763313609466, "nonident_top1": 1.0}}, {"params": {"program": 68, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 10, 11, 12, 13, 14, 15, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "train_prior": 0.369}, "val": {"pass_at": [0.09467455621301775, 0.24260355029585798, 0.34911242603550297, 0.3609467455621302, 0.3727810650887574], "identity_acc": 0.26627218934911245, "rescue_at1": 0.04142011834319527, "harm_at1": 0.21301775147928995, "nonident_top1": 1.0}}, {"params": {"program": 96, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 6, 7, 8, 9, 10, 11, 12, 14, 15, 16, 17, 18, 19, 21, 23, 24, 25, 26, 27], "train_prior": 0.3593}, "val": {"pass_at": [0.08284023668639054, 0.23076923076923078, 0.33136094674556216, 0.3431952662721893, 0.35502958579881655], "identity_acc": 0.26627218934911245, "rescue_at1": 0.04142011834319527, "harm_at1": 0.22485207100591717, "nonident_top1": 1.0}}, {"params": {"program": 105, "layer_path": [0, 1, 2, 3, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 24, 25, 26, 27], "train_prior": 0.3382}, "val": {"pass_at": [0.15384615384615385, 0.28402366863905326, 0.3668639053254438, 0.3727810650887574, 0.38461538461538464], "identity_acc": 0.26627218934911245, "rescue_at1": 0.03550295857988166, "harm_at1": 0.14792899408284024, "nonident_top1": 1.0}}, {"params": {"program": 78, "layer_path": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 23, 24, 25, 26, 27], "train_prior": 0.3375}, "val": {"pass_at": [0.13609467455621302, 0.2781065088757396, 0.3609467455621302, 0.3727810650887574, 0.378698224852071], "identity_acc": 0.26627218934911245, "rescue_at1": 0.05325443786982249, "harm_at1": 0.1834319526627219, "nonident_top1": 1.0}}, {"params": {"program": 23, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "train_prior": 0.3295}, "val": {"pass_at": [0.17751479289940827, 0.24260355029585798, 0.3431952662721893, 0.35502958579881655, 0.3668639053254438], "identity_acc": 0.26627218934911245, "rescue_at1": 0.047337278106508875, "harm_at1": 0.13609467455621302, "nonident_top1": 1.0}}, {"params": {"program": 72, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 16, 17, 18, 19, 20, 21, 22, 23, 25, 26, 27], "train_prior": 0.3229}, "val": {"pass_at": [0.17751479289940827, 0.2781065088757396, 0.3668639053254438, 0.3727810650887574, 0.38461538461538464], "identity_acc": 0.26627218934911245, "rescue_at1": 0.047337278106508875, "harm_at1": 0.13609467455621302, "nonident_top1": 1.0}}, {"params": {"program": 93, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 11, 12, 14, 15, 16, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.3194}, "val": {"pass_at": [0.08875739644970414, 0.23668639053254437, 0.33136094674556216, 0.3431952662721893, 0.3609467455621302], "identity_acc": 0.26627218934911245, "rescue_at1": 0.023668639053254437, "harm_at1": 0.20118343195266272, "nonident_top1": 1.0}}, {"params": {"program": 16, "layer_path": [0, 1, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.3005}, "val": {"pass_at": [0.11242603550295859, 0.25443786982248523, 0.3431952662721893, 0.35502958579881655, 0.3727810650887574], "identity_acc": 0.26627218934911245, "rescue_at1": 0.04142011834319527, "harm_at1": 0.1952662721893491, "nonident_top1": 1.0}}, {"params": {"program": 32, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "train_prior": 0.2989}, "val": {"pass_at": [0.23668639053254437, 0.2781065088757396, 0.3727810650887574, 0.378698224852071, 0.39644970414201186], "identity_acc": 0.26627218934911245, "rescue_at1": 0.047337278106508875, "harm_at1": 0.07692307692307693, "nonident_top1": 1.0}}, {"params": {"program": 81, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 21, 23, 24, 25, 26, 27], "train_prior": 0.2935}, "val": {"pass_at": [0.1834319526627219, 0.28402366863905326, 0.3668639053254438, 0.378698224852071, 0.38461538461538464], "identity_acc": 0.26627218934911245, "rescue_at1": 0.0650887573964497, "harm_at1": 0.14792899408284024, "nonident_top1": 1.0}}]}}}
polar_split/fixed_program/llama32_3b/polar_default/seed42/diff3/fold0.json ADDED
The diff for this file is too large to render. See raw diff
 
polar_split/fixed_program/llama32_3b/polar_default/seed42/diff3/fold1.json ADDED
@@ -0,0 +1 @@
 
 
1
+ {"difficulty": 3, "menu_size": 161, "prompt_style": "raw", "samples": "/app/data/router_data/theirsplit_cv/l3b_lpselraw_diff3_f1.json", "n": {"train": 987, "val": 197, "test": 395}, "methods": {"fixed": {"winner": {"program": 23, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "train_prior": 0.3248}, "val": {"pass_at": [0.19289340101522842, 0.2436548223350254, 0.3147208121827411, 0.3756345177664975, 0.40609137055837563], "identity_acc": 0.22842639593908629, "rescue_at1": 0.07614213197969544, "harm_at1": 0.1116751269035533, "nonident_top1": 1.0}, "test": {"pass_at": [0.17215189873417722, 0.22531645569620254, 0.28354430379746837, 0.31139240506329113, 0.3240506329113924], "identity_acc": 0.25063291139240507, "rescue_at1": 0.05063291139240506, "harm_at1": 0.1291139240506329, "nonident_top1": 1.0, "mcnemar_p": 0.00030316341355849296, "n_distinct_top1": 1, "top_nonidentity": [{"layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "n": 395}], "per_question": [{"query_id": "MATH/train/prealgebra/510.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/482.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/369.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1752.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/575.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/212.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2547.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2721.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1744.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1731.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/2828.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/105.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/1059.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/373.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/830.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/334.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/21.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/461.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/532.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2314.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/1177.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/1139.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1504.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/194.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/298.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/343.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1949.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/812.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/1535.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/1001.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/geometry/446.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/2129.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/1225.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1396.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/367.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/precalculus/564.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1368.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/510.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/precalculus/73.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/1626.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/620.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/961.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/196.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1688.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1047.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1248.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/804.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/917.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1005.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/319.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1962.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/geometry/281.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/163.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1472.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/694.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/283.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1025.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/98.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/573.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/484.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1825.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1387.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/918.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1692.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1490.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/precalculus/1088.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/1854.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/457.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/1271.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/500.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/279.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/geometry/794.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/759.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/341.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/819.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/854.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/329.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/173.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/precalculus/260.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/1351.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/148.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/83.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1081.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/213.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/24061.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1409.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/485.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/320.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/24917.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/775.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1319.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/931.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/291.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/684.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/330.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/number_theory/238.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/number_theory/406.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1970.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/310.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/850.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/903.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/466.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/55.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/845.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/41.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/586.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/1382.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/140.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/precalculus/86.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/1992.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/769.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/698.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/309.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/617.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/79.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/algebra/2799.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/1188.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/407.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/1086.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/409.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/1721.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/641.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/448.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/674.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/126.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1930.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/564.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/366.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1395.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2337.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/511.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/245.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/626.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/1518.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/2034.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/249.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/227.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/1058.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/794.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2665.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/9.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/218.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1827.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/number_theory/939.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/947.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/738.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/431.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/1308.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/8.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/37.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/geometry/741.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1041.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/729.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/54.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/18.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/929.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/449.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/665.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/553.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/geometry/737.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/856.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/651.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/precalculus/1234.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/2765.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/748.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/23993.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/764.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/912.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/714.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/370.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/499.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/872.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/1042.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/93.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/212.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/number_theory/1023.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/69.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/947.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/961.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/65.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/593.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/684.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1495.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/730.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2408.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/13.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2523.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1922.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/2026.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/number_theory/500.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/311.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/algebra/1427.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/823.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1738.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1357.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/82.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/647.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1957.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1012.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1954.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1267.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/286.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/711.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/785.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/618.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/295.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/702.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/469.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/2079.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/precalculus/160.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/geometry/1094.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/854.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1336.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/500.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/1831.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/832.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/538.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/832.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1819.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/number_theory/528.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/483.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2280.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1348.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/381.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/number_theory/544.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/331.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/1080.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/algebra/1196.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/1031.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1324.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/149.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/371.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/370.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/1471.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/25098.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/number_theory/509.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/719.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/216.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/894.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/79.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/1049.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/7.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/43.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/algebra/1944.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/311.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/208.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1229.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/421.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/986.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/345.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/19.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1759.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/2249.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/number_theory/920.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/690.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/511.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1735.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/781.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/precalculus/574.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/423.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/276.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2029.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/25448.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1257.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/520.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/159.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/343.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/495.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/702.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/1244.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/77.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/219.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/1085.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/596.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/number_theory/489.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/926.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/number_theory/1021.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/1054.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1682.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/975.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/algebra/1121.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/24958.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/682.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/133.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/750.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/585.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/504.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/542.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/1399.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/300.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/734.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/592.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/57.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/701.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/897.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1735.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/772.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/691.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/518.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1488.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/2183.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/1583.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/2000.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/201.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/567.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/2155.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/12.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/2043.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/number_theory/246.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/546.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/1006.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/637.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/geometry/705.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/geometry/225.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/2023.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1086.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/922.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/precalculus/896.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/455.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/number_theory/1198.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/359.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/222.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/814.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/945.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/898.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/96.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1858.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/62.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/1980.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/1182.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/4.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/447.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/861.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/145.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/250.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/precalculus/460.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/931.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/1832.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1863.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/358.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/893.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/2826.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/414.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1202.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/1608.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/431.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/104.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/1100.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/403.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/833.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/866.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/algebra/1710.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/2127.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/837.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1359.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/323.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/92.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/1101.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2797.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/181.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/number_theory/204.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/number_theory/281.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/515.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/number_theory/134.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/1093.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/2101.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/889.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/165.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/1057.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/132.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/772.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1143.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1652.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1996.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/precalculus/353.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1338.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/285.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/758.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/546.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/1075.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/520.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/182.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/algebra/1802.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/610.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/51.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/134.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/185.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/geometry/636.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/447.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/632.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/1003.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/460.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/2031.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1704.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/668.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}]}, "all_val": [{"params": {"program": 31, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "train_prior": 0.4039}, "val": {"pass_at": [0.14213197969543148, 0.25380710659898476, 0.3248730964467005, 0.3756345177664975, 0.40609137055837563], "identity_acc": 0.22842639593908629, "rescue_at1": 0.07106598984771574, "harm_at1": 0.15736040609137056, "nonident_top1": 1.0}}, {"params": {"program": 35, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 22, 23, 23, 24, 25, 26, 27], "train_prior": 0.366}, "val": {"pass_at": [0.16751269035532995, 0.25380710659898476, 0.3248730964467005, 0.3756345177664975, 0.40609137055837563], "identity_acc": 0.22842639593908629, "rescue_at1": 0.06091370558375635, "harm_at1": 0.1218274111675127, "nonident_top1": 1.0}}, {"params": {"program": 71, "layer_path": [0, 1, 2, 3, 3, 4, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.3634}, "val": {"pass_at": [0.13705583756345177, 0.23857868020304568, 0.3248730964467005, 0.3756345177664975, 0.40609137055837563], "identity_acc": 0.22842639593908629, "rescue_at1": 0.07614213197969544, "harm_at1": 0.16751269035532995, "nonident_top1": 1.0}}, {"params": {"program": 23, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "train_prior": 0.3248}, "val": {"pass_at": [0.19289340101522842, 0.2436548223350254, 0.3147208121827411, 0.3756345177664975, 0.40609137055837563], "identity_acc": 0.22842639593908629, "rescue_at1": 0.07614213197969544, "harm_at1": 0.1116751269035533, "nonident_top1": 1.0}}, {"params": {"program": 30, "layer_path": [0, 1, 2, 3, 4, 4, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.3231}, "val": {"pass_at": [0.09137055837563451, 0.2131979695431472, 0.29949238578680204, 0.3604060913705584, 0.40609137055837563], "identity_acc": 0.22842639593908629, "rescue_at1": 0.050761421319796954, "harm_at1": 0.18781725888324874, "nonident_top1": 1.0}}, {"params": {"program": 33, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "train_prior": 0.3224}, "val": {"pass_at": [0.16751269035532995, 0.25380710659898476, 0.3197969543147208, 0.37055837563451777, 0.40609137055837563], "identity_acc": 0.22842639593908629, "rescue_at1": 0.03553299492385787, "harm_at1": 0.09644670050761421, "nonident_top1": 1.0}}, {"params": {"program": 79, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 10, 11, 12, 13, 14, 15, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "train_prior": 0.3079}, "val": {"pass_at": [0.09137055837563451, 0.20304568527918782, 0.29441624365482233, 0.3553299492385787, 0.40609137055837563], "identity_acc": 0.22842639593908629, "rescue_at1": 0.04568527918781726, "harm_at1": 0.18274111675126903, "nonident_top1": 1.0}}, {"params": {"program": 92, "layer_path": [0, 1, 1, 2, 3, 4, 5, 5, 6, 7, 8, 8, 13, 14, 15, 16, 17, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.3079}, "val": {"pass_at": [0.03553299492385787, 0.17766497461928935, 0.28426395939086296, 0.34517766497461927, 0.39593908629441626], "identity_acc": 0.22842639593908629, "rescue_at1": 0.030456852791878174, "harm_at1": 0.2233502538071066, "nonident_top1": 1.0}}, {"params": {"program": 51, "layer_path": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.3078}, "val": {"pass_at": [0.1116751269035533, 0.2182741116751269, 0.3147208121827411, 0.3350253807106599, 0.38578680203045684], "identity_acc": 0.22842639593908629, "rescue_at1": 0.06598984771573604, "harm_at1": 0.18274111675126903, "nonident_top1": 1.0}}, {"params": {"program": 94, "layer_path": [0, 1, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 12, 13, 14, 15, 16, 17, 18, 19, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.3028}, "val": {"pass_at": [0.03553299492385787, 0.17258883248730963, 0.27411167512690354, 0.34517766497461927, 0.39086294416243655], "identity_acc": 0.22842639593908629, "rescue_at1": 0.015228426395939087, "harm_at1": 0.20812182741116753, "nonident_top1": 1.0}}, {"params": {"program": 106, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 25, 26, 27], "train_prior": 0.3028}, "val": {"pass_at": [0.16751269035532995, 0.2436548223350254, 0.30456852791878175, 0.3604060913705584, 0.41116751269035534], "identity_acc": 0.22842639593908629, "rescue_at1": 0.07106598984771574, "harm_at1": 0.1319796954314721, "nonident_top1": 1.0}}, {"params": {"program": 63, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "train_prior": 0.3017}, "val": {"pass_at": [0.07106598984771574, 0.18781725888324874, 0.2893401015228426, 0.350253807106599, 0.4010152284263959], "identity_acc": 0.22842639593908629, "rescue_at1": 0.04568527918781726, "harm_at1": 0.20304568527918782, "nonident_top1": 1.0}}, {"params": {"program": 87, "layer_path": [0, 1, 2, 3, 4, 5, 7, 8, 9, 10, 11, 12, 13, 14, 16, 17, 18, 19, 20, 21, 22, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.2916}, "val": {"pass_at": [0.06598984771573604, 0.18781725888324874, 0.27918781725888325, 0.34517766497461927, 0.39593908629441626], "identity_acc": 0.22842639593908629, "rescue_at1": 0.03553299492385787, "harm_at1": 0.19796954314720813, "nonident_top1": 1.0}}, {"params": {"program": 29, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "train_prior": 0.2878}, "val": {"pass_at": [0.1116751269035533, 0.16243654822335024, 0.27411167512690354, 0.34517766497461927, 0.38578680203045684], "identity_acc": 0.22842639593908629, "rescue_at1": 0.050761421319796954, "harm_at1": 0.16751269035532995, "nonident_top1": 1.0}}, {"params": {"program": 103, "layer_path": [0, 1, 2, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 26, 27], "train_prior": 0.2838}, "val": {"pass_at": [0.1065989847715736, 0.19796954314720813, 0.29949238578680204, 0.3553299492385787, 0.4010152284263959], "identity_acc": 0.22842639593908629, "rescue_at1": 0.06091370558375635, "harm_at1": 0.18274111675126903, "nonident_top1": 1.0}}, {"params": {"program": 81, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 25, 26, 27], "train_prior": 0.2771}, "val": {"pass_at": [0.1116751269035533, 0.20304568527918782, 0.27411167512690354, 0.3350253807106599, 0.38071065989847713], "identity_acc": 0.22842639593908629, "rescue_at1": 0.04060913705583756, "harm_at1": 0.15736040609137056, "nonident_top1": 1.0}}, {"params": {"program": 91, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 11, 12, 14, 15, 16, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.2771}, "val": {"pass_at": [0.13705583756345177, 0.2436548223350254, 0.3401015228426396, 0.39086294416243655, 0.4365482233502538], "identity_acc": 0.22842639593908629, "rescue_at1": 0.08121827411167512, "harm_at1": 0.17258883248730963, "nonident_top1": 1.0}}, {"params": {"program": 126, "layer_path": [0, 1, 2, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 16, 17, 18, 19, 20, 21, 22, 23, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.2724}, "val": {"pass_at": [0.08121827411167512, 0.19796954314720813, 0.27411167512690354, 0.3350253807106599, 0.38578680203045684], "identity_acc": 0.22842639593908629, "rescue_at1": 0.030456852791878174, "harm_at1": 0.17766497461928935, "nonident_top1": 1.0}}, {"params": {"program": 130, "layer_path": [0, 1, 2, 3, 4, 5, 6, 6, 7, 8, 9, 10, 11, 12, 13, 14, 16, 20, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.2724}, "val": {"pass_at": [0.005076142131979695, 0.14720812182741116, 0.25888324873096447, 0.3299492385786802, 0.38071065989847713], "identity_acc": 0.22842639593908629, "rescue_at1": 0.005076142131979695, "harm_at1": 0.22842639593908629, "nonident_top1": 1.0}}, {"params": {"program": 145, "layer_path": [0, 1, 4, 5, 6, 8, 9, 10, 10, 11, 12, 13, 14, 15, 16, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "train_prior": 0.2724}, "val": {"pass_at": [0.02030456852791878, 0.16243654822335024, 0.26903553299492383, 0.3299492385786802, 0.38071065989847713], "identity_acc": 0.22842639593908629, "rescue_at1": 0.015228426395939087, "harm_at1": 0.2233502538071066, "nonident_top1": 1.0}}]}}}
polar_split/fixed_program/llama32_3b/polar_default/seed42/diff3/fold2.json ADDED
@@ -0,0 +1 @@
 
 
1
+ {"difficulty": 3, "menu_size": 142, "prompt_style": "raw", "samples": "/app/data/router_data/theirsplit_cv/l3b_lpselraw_diff3_f2.json", "n": {"train": 988, "val": 197, "test": 394}, "methods": {"fixed": {"winner": {"program": 21, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "train_prior": 0.3753}, "val": {"pass_at": [0.19289340101522842, 0.2436548223350254, 0.3197969543147208, 0.38071065989847713, 0.39086294416243655], "identity_acc": 0.22842639593908629, "rescue_at1": 0.07614213197969544, "harm_at1": 0.1116751269035533, "nonident_top1": 1.0}, "test": {"pass_at": [0.16243654822335024, 0.2233502538071066, 0.28426395939086296, 0.3553299492385787, 0.3756345177664975], "identity_acc": 0.2512690355329949, "rescue_at1": 0.048223350253807105, "harm_at1": 0.13705583756345177, "nonident_top1": 1.0, "mcnemar_p": 5.0622659111780655e-05, "n_distinct_top1": 1, "top_nonidentity": [{"layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "n": 394}], "per_question": [{"query_id": "MATH/train/algebra/1612.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/2088.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/731.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/52.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/2147.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/2163.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/906.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/736.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/46.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/786.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/122.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/849.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/88.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/330.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/863.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/736.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/422.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1381.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2115.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1200.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/352.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/20.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1775.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1614.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1734.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/2386.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/532.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/precalculus/164.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/502.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/number_theory/1086.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2460.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/203.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/620.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1489.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/214.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/1039.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/727.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/333.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/136.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/929.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/2148.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/892.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/1057.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/773.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/1269.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/832.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/837.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/776.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/485.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/845.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/geometry/392.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/474.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/916.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/241.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/129.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/463.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/20.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/258.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/905.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/132.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/306.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/1080.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/algebra/1080.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/number_theory/588.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/602.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/1305.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1018.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/253.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/941.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/454.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/381.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1700.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/2648.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2709.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/822.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/587.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2529.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/392.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/570.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2089.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/259.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2125.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/545.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/335.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/954.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1711.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/957.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/420.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2371.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/665.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/688.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/153.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/536.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/100.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/610.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/algebra/700.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/878.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/24771.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/656.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1965.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2808.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/precalculus/771.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/754.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/539.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1797.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/468.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1584.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/precalculus/852.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/382.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2599.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/number_theory/378.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/288.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1221.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/924.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/number_theory/1214.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1038.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1667.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/19.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/152.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1103.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/925.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/2462.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/472.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/algebra/2474.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2053.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/974.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/445.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/67.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/897.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/2150.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/precalculus/1182.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/267.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/algebra/1045.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/232.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/777.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/761.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/748.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1235.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/1435.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/number_theory/25063.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/number_theory/245.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/813.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/604.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2769.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1527.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/663.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/414.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/76.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/23.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/248.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/119.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/335.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/420.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1920.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/571.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1802.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2121.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/1828.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/804.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/168.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/404.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1661.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1716.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/856.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/740.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/268.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/222.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/571.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/308.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/2087.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1799.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/538.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/820.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/256.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/1913.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/1302.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/81.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1872.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/700.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/557.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/659.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/627.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/491.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/362.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/91.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/24973.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/462.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/275.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/252.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1601.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/726.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/953.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/635.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/1267.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2786.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/1127.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/1223.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/1294.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/629.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1300.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/504.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1265.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/precalculus/614.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/150.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/420.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/471.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2402.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/800.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/933.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/40.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/1063.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1888.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1218.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2401.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1905.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/390.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1830.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/1871.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/937.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/1156.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/1165.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/1014.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/772.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1647.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/802.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/849.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/2008.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/1030.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/681.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1314.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/908.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/332.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/1912.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/geometry/399.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1316.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1589.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/115.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1868.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/25249.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/1135.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/712.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/1045.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/1246.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/24858.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/835.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/496.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1432.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/681.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/number_theory/25.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/926.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/869.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/166.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/17.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1822.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/84.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/526.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/2165.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1334.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/53.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2174.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/1159.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/384.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/419.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1358.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/749.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/algebra/1754.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/449.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/280.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/638.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2774.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1549.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/1049.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1760.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1765.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/213.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/geometry/521.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/91.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/608.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1184.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/1069.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/826.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/205.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/142.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/algebra/895.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/312.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/124.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/562.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/599.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/104.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/227.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/624.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/225.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/129.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/2114.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/308.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2346.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/1446.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/142.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/487.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/175.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/192.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1609.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/73.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/479.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/625.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/98.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/number_theory/979.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1188.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/485.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1866.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/237.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/448.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/592.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/756.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/number_theory/285.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/precalculus/1020.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/1979.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/722.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/geometry/376.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/172.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/566.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/842.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/768.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/396.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/1499.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/809.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/770.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1160.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1076.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/precalculus/1025.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/654.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/number_theory/889.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/1247.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/1242.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/811.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/1204.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/690.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/945.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/2100.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/466.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/1089.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/841.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1610.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/number_theory/705.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/1469.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1708.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/699.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/1087.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2485.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/precalculus/1026.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/336.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/944.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/235.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1926.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1979.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/123.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/497.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/15.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/647.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/400.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/algebra/134.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/336.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1478.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/725.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/457.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/413.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1237.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/895.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/372.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1547.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2224.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/316.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/344.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/number_theory/1091.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/606.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/321.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/number_theory/325.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/number_theory/842.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1911.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/2060.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/1061.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/36.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/769.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/818.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/1086.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/2258.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1966.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2299.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/1011.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/number_theory/926.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/699.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/553.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/1141.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/geometry/518.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}]}, "all_val": [{"params": {"program": 28, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "train_prior": 0.3755}, "val": {"pass_at": [0.14213197969543148, 0.2436548223350254, 0.3197969543147208, 0.38071065989847713, 0.39086294416243655], "identity_acc": 0.22842639593908629, "rescue_at1": 0.07106598984771574, "harm_at1": 0.15736040609137056, "nonident_top1": 1.0}}, {"params": {"program": 21, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "train_prior": 0.3753}, "val": {"pass_at": [0.19289340101522842, 0.2436548223350254, 0.3197969543147208, 0.38071065989847713, 0.39086294416243655], "identity_acc": 0.22842639593908629, "rescue_at1": 0.07614213197969544, "harm_at1": 0.1116751269035533, "nonident_top1": 1.0}}, {"params": {"program": 86, "layer_path": [0, 1, 2, 3, 3, 4, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.3449}, "val": {"pass_at": [0.13705583756345177, 0.23857868020304568, 0.3197969543147208, 0.38071065989847713, 0.39086294416243655], "identity_acc": 0.22842639593908629, "rescue_at1": 0.07614213197969544, "harm_at1": 0.16751269035532995, "nonident_top1": 1.0}}, {"params": {"program": 25, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "train_prior": 0.3441}, "val": {"pass_at": [0.16751269035532995, 0.25380710659898476, 0.3147208121827411, 0.38071065989847713, 0.39086294416243655], "identity_acc": 0.22842639593908629, "rescue_at1": 0.03553299492385787, "harm_at1": 0.09644670050761421, "nonident_top1": 1.0}}, {"params": {"program": 70, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 21, 23, 24, 25, 26, 27], "train_prior": 0.343}, "val": {"pass_at": [0.116751269035533, 0.19796954314720813, 0.27918781725888325, 0.3401015228426396, 0.39086294416243655], "identity_acc": 0.22842639593908629, "rescue_at1": 0.050761421319796954, "harm_at1": 0.16243654822335024, "nonident_top1": 1.0}}, {"params": {"program": 95, "layer_path": [0, 1, 2, 3, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.3227}, "val": {"pass_at": [0.08629441624365482, 0.20304568527918782, 0.27918781725888325, 0.34517766497461927, 0.39593908629441626], "identity_acc": 0.22842639593908629, "rescue_at1": 0.025380710659898477, "harm_at1": 0.16751269035532995, "nonident_top1": 1.0}}, {"params": {"program": 96, "layer_path": [0, 1, 2, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 16, 17, 18, 19, 20, 21, 22, 23, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.3227}, "val": {"pass_at": [0.08121827411167512, 0.19796954314720813, 0.27411167512690354, 0.3350253807106599, 0.39086294416243655], "identity_acc": 0.22842639593908629, "rescue_at1": 0.030456852791878174, "harm_at1": 0.17766497461928935, "nonident_top1": 1.0}}, {"params": {"program": 61, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "train_prior": 0.3132}, "val": {"pass_at": [0.07106598984771574, 0.18781725888324874, 0.27918781725888325, 0.350253807106599, 0.40609137055837563], "identity_acc": 0.22842639593908629, "rescue_at1": 0.04568527918781726, "harm_at1": 0.20304568527918782, "nonident_top1": 1.0}}, {"params": {"program": 38, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 11, 12, 14, 15, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.3113}, "val": {"pass_at": [0.09137055837563451, 0.19796954314720813, 0.28426395939086296, 0.350253807106599, 0.4010152284263959], "identity_acc": 0.22842639593908629, "rescue_at1": 0.04568527918781726, "harm_at1": 0.18274111675126903, "nonident_top1": 1.0}}, {"params": {"program": 72, "layer_path": [0, 1, 2, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 26, 27], "train_prior": 0.3104}, "val": {"pass_at": [0.1065989847715736, 0.19796954314720813, 0.29441624365482233, 0.34517766497461927, 0.39593908629441626], "identity_acc": 0.22842639593908629, "rescue_at1": 0.06091370558375635, "harm_at1": 0.18274111675126903, "nonident_top1": 1.0}}, {"params": {"program": 57, "layer_path": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.3042}, "val": {"pass_at": [0.1116751269035533, 0.2182741116751269, 0.3096446700507614, 0.3350253807106599, 0.39086294416243655], "identity_acc": 0.22842639593908629, "rescue_at1": 0.06598984771573604, "harm_at1": 0.18274111675126903, "nonident_top1": 1.0}}, {"params": {"program": 40, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.3031}, "val": {"pass_at": [0.16243654822335024, 0.23857868020304568, 0.3147208121827411, 0.3756345177664975, 0.41116751269035534], "identity_acc": 0.22842639593908629, "rescue_at1": 0.06091370558375635, "harm_at1": 0.12690355329949238, "nonident_top1": 1.0}}, {"params": {"program": 97, "layer_path": [0, 1, 2, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 16, 17, 18, 19, 20, 21, 22, 23, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.3012}, "val": {"pass_at": [0.1065989847715736, 0.20304568527918782, 0.28426395939086296, 0.34517766497461927, 0.39593908629441626], "identity_acc": 0.22842639593908629, "rescue_at1": 0.050761421319796954, "harm_at1": 0.17258883248730963, "nonident_top1": 1.0}}, {"params": {"program": 52, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 22, 23, 23, 24, 25, 26, 27], "train_prior": 0.2839}, "val": {"pass_at": [0.16751269035532995, 0.25380710659898476, 0.3147208121827411, 0.3756345177664975, 0.40609137055837563], "identity_acc": 0.22842639593908629, "rescue_at1": 0.06091370558375635, "harm_at1": 0.1218274111675127, "nonident_top1": 1.0}}, {"params": {"program": 109, "layer_path": [0, 1, 2, 2, 3, 4, 5, 6, 7, 7, 8, 9, 10, 11, 11, 12, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 26, 27], "train_prior": 0.2824}, "val": {"pass_at": [0.116751269035533, 0.2131979695431472, 0.29949238578680204, 0.350253807106599, 0.40609137055837563], "identity_acc": 0.22842639593908629, "rescue_at1": 0.06598984771573604, "harm_at1": 0.17766497461928935, "nonident_top1": 1.0}}, {"params": {"program": 27, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "train_prior": 0.2792}, "val": {"pass_at": [0.1116751269035533, 0.16243654822335024, 0.25380710659898476, 0.3299492385786802, 0.39086294416243655], "identity_acc": 0.22842639593908629, "rescue_at1": 0.050761421319796954, "harm_at1": 0.16751269035532995, "nonident_top1": 1.0}}, {"params": {"program": 30, "layer_path": [0, 1, 2, 3, 4, 4, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.2782}, "val": {"pass_at": [0.09137055837563451, 0.2131979695431472, 0.29949238578680204, 0.36548223350253806, 0.41624365482233505], "identity_acc": 0.22842639593908629, "rescue_at1": 0.050761421319796954, "harm_at1": 0.18781725888324874, "nonident_top1": 1.0}}, {"params": {"program": 87, "layer_path": [0, 1, 2, 2, 3, 4, 5, 6, 7, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 26, 27], "train_prior": 0.2759}, "val": {"pass_at": [0.10152284263959391, 0.20812182741116753, 0.29949238578680204, 0.34517766497461927, 0.4010152284263959], "identity_acc": 0.22842639593908629, "rescue_at1": 0.050761421319796954, "harm_at1": 0.17766497461928935, "nonident_top1": 1.0}}, {"params": {"program": 88, "layer_path": [0, 1, 1, 2, 3, 4, 5, 5, 6, 7, 8, 8, 13, 14, 15, 16, 17, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.2759}, "val": {"pass_at": [0.03553299492385787, 0.17766497461928935, 0.27918781725888325, 0.3401015228426396, 0.4010152284263959], "identity_acc": 0.22842639593908629, "rescue_at1": 0.030456852791878174, "harm_at1": 0.2233502538071066, "nonident_top1": 1.0}}, {"params": {"program": 123, "layer_path": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 24, 25, 26, 27], "train_prior": 0.2706}, "val": {"pass_at": [0.116751269035533, 0.2233502538071066, 0.3147208121827411, 0.3604060913705584, 0.4213197969543147], "identity_acc": 0.22842639593908629, "rescue_at1": 0.08121827411167512, "harm_at1": 0.19289340101522842, "nonident_top1": 1.0}}]}}}
polar_split/fixed_program/llama32_3b/polar_default/seed42/diff3/fold3.json ADDED
@@ -0,0 +1 @@
 
 
1
+ {"difficulty": 3, "menu_size": 154, "prompt_style": "raw", "samples": "/app/data/router_data/theirsplit_cv/l3b_lpselraw_diff3_f3.json", "n": {"train": 987, "val": 197, "test": 395}, "methods": {"fixed": {"winner": {"program": 20, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "train_prior": 0.3427}, "val": {"pass_at": [0.19289340101522842, 0.24873096446700507, 0.27918781725888325, 0.34517766497461927, 0.39086294416243655], "identity_acc": 0.22842639593908629, "rescue_at1": 0.07614213197969544, "harm_at1": 0.1116751269035533, "nonident_top1": 1.0}, "test": {"pass_at": [0.17974683544303796, 0.25316455696202533, 0.27341772151898736, 0.3139240506329114, 0.3594936708860759], "identity_acc": 0.2481012658227848, "rescue_at1": 0.04556962025316456, "harm_at1": 0.11392405063291139, "nonident_top1": 1.0, "mcnemar_p": 0.0008980471786680215, "n_distinct_top1": 1, "top_nonidentity": [{"layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "n": 395}], "per_question": [{"query_id": "MATH/train/algebra/1510.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/353.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/124.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/1931.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/199.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/983.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/120.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1113.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/97.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/1029.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/561.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2429.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/25020.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/233.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/457.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/920.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/2062.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/201.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/2037.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/number_theory/371.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/856.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/601.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1676.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/434.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/1012.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/207.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/geometry/34.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2819.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/254.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1913.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/1465.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/geometry/30.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/precalculus/909.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/228.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/673.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/101.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1567.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1501.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1119.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/precalculus/640.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/1539.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1118.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/604.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/precalculus/481.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/527.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/363.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1073.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/486.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/1150.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/1687.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/239.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/848.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/number_theory/599.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1637.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/448.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/701.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/301.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/51.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/391.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/1535.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/geometry/715.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/862.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/881.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/224.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1565.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1595.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1211.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/geometry/193.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/549.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/algebra/2562.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1248.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/number_theory/354.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/3.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/836.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/911.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/655.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/geometry/1110.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/895.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/2172.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/1931.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/990.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2441.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/896.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/geometry/206.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/geometry/520.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/1099.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1826.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2652.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/987.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2419.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/610.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/434.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1028.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1159.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/310.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/103.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/767.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/263.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/2041.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1162.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2821.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2206.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/precalculus/660.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/964.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/236.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1694.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/762.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/689.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/884.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/1189.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/precalculus/210.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1000.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1676.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/9.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/1080.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/number_theory/424.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/573.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/584.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/952.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1913.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/57.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/693.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1653.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/268.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/precalculus/559.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/205.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1421.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/788.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/number_theory/977.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1718.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/533.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/357.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/411.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/643.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/617.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1075.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/1011.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/1546.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1012.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2170.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/231.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1851.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/841.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2830.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/204.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/326.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/1473.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1441.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/378.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/188.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1333.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/number_theory/1034.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/646.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/316.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/215.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/863.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/algebra/1649.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1089.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/2129.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/696.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1120.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/899.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/544.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/682.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/565.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1853.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/precalculus/1221.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/499.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/683.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/number_theory/213.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/number_theory/983.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/2154.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/944.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/1148.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/790.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/504.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/157.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/261.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/865.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/462.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1188.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/66.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/588.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1821.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/821.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/727.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/995.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/918.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1434.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/256.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/112.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/920.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/1040.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/361.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1532.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/849.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/160.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/872.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/algebra/877.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/454.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1314.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/5.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/477.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/2054.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/379.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2027.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/precalculus/286.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2444.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/2033.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/34.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/684.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1301.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/157.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1887.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/257.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/1015.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2746.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/929.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/1037.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/130.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1701.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/1504.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/259.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1601.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/367.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/193.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2660.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1228.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1726.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/965.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/331.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2754.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1334.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/788.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/86.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/166.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/number_theory/535.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/327.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1138.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/1644.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/363.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/456.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/772.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/674.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/346.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/447.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/742.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1621.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/376.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2609.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/1028.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1194.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/693.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/algebra/984.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1088.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/276.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1420.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/number_theory/1075.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2569.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/296.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/geometry/841.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/218.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1414.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/1083.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/411.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/614.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/number_theory/1163.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/626.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/125.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1313.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/277.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/1470.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/835.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/322.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/591.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/361.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/146.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/387.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/precalculus/859.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1896.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/883.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/632.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/108.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/521.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/1521.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/5.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2820.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/824.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/233.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2005.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/993.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/882.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/553.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/1912.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1433.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/95.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/974.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/912.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/322.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/67.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1223.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/geometry/74.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/987.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1565.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2369.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/569.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/288.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/143.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/number_theory/715.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/167.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/183.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/624.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1046.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/719.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/2761.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/1224.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/geometry/328.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/762.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/513.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/25040.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/111.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/210.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/791.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2162.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/2364.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/603.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/667.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/404.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/629.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/382.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/948.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/99.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/1903.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/precalculus/1159.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/864.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/435.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/70.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/1059.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/1180.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/191.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1005.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/22.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/703.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/135.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/198.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/269.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2396.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1150.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/725.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1901.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/888.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/number_theory/36.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/534.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/precalculus/922.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/789.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/198.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/409.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/1888.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/geometry/732.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/436.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1341.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2442.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/88.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/950.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/97.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/89.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/2093.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/421.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2428.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/672.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/46.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/1635.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/1206.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/513.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/800.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1981.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/24014.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/780.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/374.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/22.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/370.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/17.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/360.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1367.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1429.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/number_theory/1008.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/529.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/2083.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/number_theory/107.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/number_theory/248.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/879.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1556.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/290.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/823.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1796.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}]}, "all_val": [{"params": {"program": 65, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 21, 23, 24, 25, 26, 27], "train_prior": 0.4186}, "val": {"pass_at": [0.116751269035533, 0.19796954314720813, 0.29441624365482233, 0.34517766497461927, 0.350253807106599], "identity_acc": 0.22842639593908629, "rescue_at1": 0.050761421319796954, "harm_at1": 0.16243654822335024, "nonident_top1": 1.0}}, {"params": {"program": 32, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "train_prior": 0.3825}, "val": {"pass_at": [0.14213197969543148, 0.19796954314720813, 0.29441624365482233, 0.34517766497461927, 0.350253807106599], "identity_acc": 0.22842639593908629, "rescue_at1": 0.07106598984771574, "harm_at1": 0.15736040609137056, "nonident_top1": 1.0}}, {"params": {"program": 34, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 22, 23, 23, 24, 25, 26, 27], "train_prior": 0.347}, "val": {"pass_at": [0.16751269035532995, 0.24873096446700507, 0.29441624365482233, 0.34517766497461927, 0.350253807106599], "identity_acc": 0.22842639593908629, "rescue_at1": 0.06091370558375635, "harm_at1": 0.1218274111675127, "nonident_top1": 1.0}}, {"params": {"program": 89, "layer_path": [0, 1, 2, 3, 3, 4, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.3459}, "val": {"pass_at": [0.13705583756345177, 0.2131979695431472, 0.27411167512690354, 0.34517766497461927, 0.350253807106599], "identity_acc": 0.22842639593908629, "rescue_at1": 0.07614213197969544, "harm_at1": 0.16751269035532995, "nonident_top1": 1.0}}, {"params": {"program": 90, "layer_path": [0, 1, 2, 3, 3, 4, 4, 5, 6, 7, 8, 9, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.3459}, "val": {"pass_at": [0.08121827411167512, 0.17258883248730963, 0.23857868020304568, 0.3147208121827411, 0.350253807106599], "identity_acc": 0.22842639593908629, "rescue_at1": 0.03553299492385787, "harm_at1": 0.18274111675126903, "nonident_top1": 1.0}}, {"params": {"program": 20, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "train_prior": 0.3427}, "val": {"pass_at": [0.19289340101522842, 0.24873096446700507, 0.27918781725888325, 0.34517766497461927, 0.39086294416243655], "identity_acc": 0.22842639593908629, "rescue_at1": 0.07614213197969544, "harm_at1": 0.1116751269035533, "nonident_top1": 1.0}}, {"params": {"program": 27, "layer_path": [0, 1, 2, 3, 4, 4, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.3305}, "val": {"pass_at": [0.09137055837563451, 0.18781725888324874, 0.24873096446700507, 0.3299492385786802, 0.38071065989847713], "identity_acc": 0.22842639593908629, "rescue_at1": 0.050761421319796954, "harm_at1": 0.18781725888324874, "nonident_top1": 1.0}}, {"params": {"program": 58, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 16, 17, 18, 19, 20, 21, 22, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.3161}, "val": {"pass_at": [0.09137055837563451, 0.17766497461928935, 0.233502538071066, 0.3147208121827411, 0.36548223350253806], "identity_acc": 0.22842639593908629, "rescue_at1": 0.025380710659898477, "harm_at1": 0.16243654822335024, "nonident_top1": 1.0}}, {"params": {"program": 67, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 11, 12, 14, 15, 16, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.3139}, "val": {"pass_at": [0.13705583756345177, 0.2182741116751269, 0.27918781725888325, 0.36548223350253806, 0.40609137055837563], "identity_acc": 0.22842639593908629, "rescue_at1": 0.08121827411167512, "harm_at1": 0.17258883248730963, "nonident_top1": 1.0}}, {"params": {"program": 26, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "train_prior": 0.3107}, "val": {"pass_at": [0.16751269035532995, 0.233502538071066, 0.2893401015228426, 0.350253807106599, 0.38578680203045684], "identity_acc": 0.22842639593908629, "rescue_at1": 0.03553299492385787, "harm_at1": 0.09644670050761421, "nonident_top1": 1.0}}, {"params": {"program": 39, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 23, 24, 25, 26, 27], "train_prior": 0.3035}, "val": {"pass_at": [0.18781725888324874, 0.22842639593908629, 0.28426395939086296, 0.3604060913705584, 0.4010152284263959], "identity_acc": 0.22842639593908629, "rescue_at1": 0.08629441624365482, "harm_at1": 0.12690355329949238, "nonident_top1": 1.0}}, {"params": {"program": 68, "layer_path": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.3014}, "val": {"pass_at": [0.1116751269035533, 0.20304568527918782, 0.25888324873096447, 0.3401015228426396, 0.3553299492385787], "identity_acc": 0.22842639593908629, "rescue_at1": 0.06598984771573604, "harm_at1": 0.18274111675126903, "nonident_top1": 1.0}}, {"params": {"program": 63, "layer_path": [0, 1, 2, 3, 4, 5, 6, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.2791}, "val": {"pass_at": [0.17766497461928935, 0.2436548223350254, 0.29949238578680204, 0.3604060913705584, 0.39593908629441626], "identity_acc": 0.22842639593908629, "rescue_at1": 0.07106598984771574, "harm_at1": 0.1218274111675127, "nonident_top1": 1.0}}, {"params": {"program": 116, "layer_path": [0, 1, 4, 4, 5, 6, 6, 7, 8, 9, 10, 11, 12, 12, 13, 14, 15, 16, 17, 18, 19, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.2719}, "val": {"pass_at": [0.04060913705583756, 0.14720812182741116, 0.2233502538071066, 0.3096446700507614, 0.3604060913705584], "identity_acc": 0.22842639593908629, "rescue_at1": 0.02030456852791878, "harm_at1": 0.20812182741116753, "nonident_top1": 1.0}}, {"params": {"program": 129, "layer_path": [0, 1, 2, 3, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.2719}, "val": {"pass_at": [0.08629441624365482, 0.17766497461928935, 0.25380710659898476, 0.3401015228426396, 0.3756345177664975], "identity_acc": 0.22842639593908629, "rescue_at1": 0.025380710659898477, "harm_at1": 0.16751269035532995, "nonident_top1": 1.0}}, {"params": {"program": 145, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 22, 23, 24, 25, 25, 26, 27], "train_prior": 0.2719}, "val": {"pass_at": [0.14213197969543148, 0.2233502538071066, 0.27411167512690354, 0.3401015228426396, 0.38578680203045684], "identity_acc": 0.22842639593908629, "rescue_at1": 0.06598984771573604, "harm_at1": 0.15228426395939088, "nonident_top1": 1.0}}, {"params": {"program": 151, "layer_path": [0, 1, 2, 3, 4, 5, 7, 8, 9, 10, 11, 12, 13, 14, 16, 17, 17, 18, 19, 20, 21, 22, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.2719}, "val": {"pass_at": [0.06598984771573604, 0.16751269035532995, 0.2436548223350254, 0.3197969543147208, 0.36548223350253806], "identity_acc": 0.22842639593908629, "rescue_at1": 0.04060913705583756, "harm_at1": 0.20304568527918782, "nonident_top1": 1.0}}, {"params": {"program": 40, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 11, 12, 14, 15, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.2701}, "val": {"pass_at": [0.09137055837563451, 0.17258883248730963, 0.2436548223350254, 0.3197969543147208, 0.37055837563451777], "identity_acc": 0.22842639593908629, "rescue_at1": 0.04568527918781726, "harm_at1": 0.18274111675126903, "nonident_top1": 1.0}}, {"params": {"program": 102, "layer_path": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.2667}, "val": {"pass_at": [0.15228426395939088, 0.2436548223350254, 0.29441624365482233, 0.3553299492385787, 0.37055837563451777], "identity_acc": 0.22842639593908629, "rescue_at1": 0.07614213197969544, "harm_at1": 0.15228426395939088, "nonident_top1": 1.0}}, {"params": {"program": 88, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 23, 23, 24, 25, 27], "train_prior": 0.2636}, "val": {"pass_at": [0.17258883248730963, 0.22842639593908629, 0.29441624365482233, 0.36548223350253806, 0.41116751269035534], "identity_acc": 0.22842639593908629, "rescue_at1": 0.07106598984771574, "harm_at1": 0.12690355329949238, "nonident_top1": 1.0}}]}}}
polar_split/fixed_program/llama32_3b/polar_default/seed42/diff4/fold0.json ADDED
@@ -0,0 +1 @@
 
 
1
+ {"difficulty": 4, "menu_size": 121, "prompt_style": "raw", "samples": "/app/data/router_data/theirsplit_cv/l3b_lpselraw_diff4_f0.json", "n": {"train": 961, "val": 192, "test": 384}, "methods": {"fixed": {"winner": {"program": 31, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "train_prior": 0.273}, "val": {"pass_at": [0.1875, 0.23958333333333334, 0.2916666666666667, 0.3385416666666667, 0.3645833333333333], "identity_acc": 0.21875, "rescue_at1": 0.046875, "harm_at1": 0.078125, "nonident_top1": 1.0}, "test": {"pass_at": [0.15364583333333334, 0.21875, 0.2526041666666667, 0.296875, 0.3255208333333333], "identity_acc": 0.23177083333333334, "rescue_at1": 0.033854166666666664, "harm_at1": 0.11197916666666667, "nonident_top1": 1.0, "mcnemar_p": 7.333218396948782e-05, "n_distinct_top1": 1, "top_nonidentity": [{"layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "n": 384}], "per_question": [{"query_id": "MATH/train/intermediate_algebra/1710.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1545.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1096.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/2081.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2107.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/32.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/560.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1875.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1232.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/557.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/489.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/precalculus/1170.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/923.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/432.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/727.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/1012.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/1095.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/802.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1100.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2296.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/755.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1536.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/1272.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/559.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/1623.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2757.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/560.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/683.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/426.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/295.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/490.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/algebra/1574.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/648.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/920.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/2813.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/550.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/408.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/2003.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1319.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/664.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/959.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/algebra/971.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/141.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/927.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1657.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/733.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/124.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1660.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1087.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/992.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/117.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/163.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/276.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/464.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1164.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/267.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1896.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2650.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/196.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/geometry/1063.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/85.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/264.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/geometry/946.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/1015.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/1731.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/774.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/precalculus/239.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1307.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/691.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/985.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/1131.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1951.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1613.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/655.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/1018.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2223.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/939.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/622.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1947.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/2008.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/110.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/205.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/1635.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1259.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/245.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1563.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/22.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/573.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/574.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/284.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/675.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1614.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1356.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1675.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/25179.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/337.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/1216.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/122.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/1271.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/2594.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/568.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/952.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1277.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/628.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/1386.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1615.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1156.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/929.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/2043.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1134.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/1783.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/860.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/2025.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/837.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/421.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/48.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/723.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/305.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/261.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/72.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1320.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1321.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1581.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/358.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1648.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/2806.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/2108.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/precalculus/832.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/78.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1120.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/200.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/312.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1012.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/439.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1425.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1662.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/154.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/932.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/1637.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/404.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/1111.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1006.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/1073.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/720.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/258.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/281.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/897.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/242.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1030.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1242.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1696.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/523.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/2076.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/183.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/303.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/819.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/geometry/1034.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1473.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1728.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/613.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1105.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/728.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/644.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/395.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/103.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1056.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/2598.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1198.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/722.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/415.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/293.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1795.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/467.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/1039.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/393.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2090.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/885.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/24993.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/geometry/481.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/731.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/557.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/198.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/number_theory/1245.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/666.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2368.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1537.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/837.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/376.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/precalculus/581.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/352.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/446.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/673.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/235.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1209.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/58.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1610.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1783.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1623.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/936.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1618.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/372.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/919.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/89.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/323.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/280.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/870.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/775.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/number_theory/857.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/2445.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/375.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/number_theory/1209.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/10.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/744.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/23953.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2286.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/2065.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2473.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/449.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/484.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/120.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1212.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/algebra/84.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1055.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/351.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/1589.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/960.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/2615.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/675.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2313.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/321.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/2168.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/942.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/962.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/1413.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/1059.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/geometry/646.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1995.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/94.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/633.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/precalculus/759.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2018.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/879.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2516.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/379.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/54.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/283.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1682.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2567.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/2793.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/728.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/862.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/278.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/649.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/precalculus/167.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1557.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/617.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/753.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1307.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/441.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/918.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/637.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/415.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1341.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/1130.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/1691.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/128.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/1091.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/2242.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1917.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/9999.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/1502.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2526.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/geometry/1015.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/557.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/2816.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/number_theory/1268.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/number_theory/1047.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/364.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1431.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1670.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/785.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1768.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/763.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1497.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/863.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1971.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2627.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/2099.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/1188.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/number_theory/630.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/1069.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/214.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/416.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/613.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/373.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/604.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1929.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1468.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1633.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/2087.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/geometry/36.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/158.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/1177.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/845.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1038.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/431.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/849.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/452.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/2513.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1737.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/672.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/24685.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/900.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/39.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/621.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1983.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/330.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/396.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1132.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/1002.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/1006.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/precalculus/68.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/1075.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/2613.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1085.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/number_theory/1293.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/393.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/470.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1224.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/409.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/360.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1960.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/2079.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/1087.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/1131.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/225.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/43.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/1237.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/654.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/precalculus/719.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/585.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/2244.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/73.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/524.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/540.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1722.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1976.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/precalculus/728.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/2161.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/2188.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/algebra/1666.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/299.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1659.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1237.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1938.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/369.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/653.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/592.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/25852.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1193.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/546.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/447.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1658.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2839.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/501.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/606.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2166.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2522.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/geometry/63.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/geometry/599.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/1060.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2752.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1091.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1633.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/geometry/1123.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/1273.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/822.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/algebra/915.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/391.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/503.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/445.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/216.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/1090.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/precalculus/225.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}]}, "all_val": [{"params": {"program": 33, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 22, 23, 23, 24, 25, 26, 27], "train_prior": 0.4409}, "val": {"pass_at": [0.140625, 0.21875, 0.2864583333333333, 0.3125, 0.3541666666666667], "identity_acc": 0.21875, "rescue_at1": 0.046875, "harm_at1": 0.125, "nonident_top1": 1.0}}, {"params": {"program": 27, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "train_prior": 0.4343}, "val": {"pass_at": [0.11979166666666667, 0.21875, 0.2864583333333333, 0.3125, 0.3541666666666667], "identity_acc": 0.21875, "rescue_at1": 0.052083333333333336, "harm_at1": 0.15104166666666666, "nonident_top1": 1.0}}, {"params": {"program": 35, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 23, 24, 25, 26, 27], "train_prior": 0.4186}, "val": {"pass_at": [0.16145833333333334, 0.2552083333333333, 0.2864583333333333, 0.3125, 0.3541666666666667], "identity_acc": 0.21875, "rescue_at1": 0.07291666666666667, "harm_at1": 0.13020833333333334, "nonident_top1": 1.0}}, {"params": {"program": 78, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 21, 23, 24, 25, 26, 27], "train_prior": 0.3643}, "val": {"pass_at": [0.06770833333333333, 0.19270833333333334, 0.2604166666666667, 0.3125, 0.3541666666666667], "identity_acc": 0.21875, "rescue_at1": 0.041666666666666664, "harm_at1": 0.19270833333333334, "nonident_top1": 1.0}}, {"params": {"program": 22, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "train_prior": 0.3214}, "val": {"pass_at": [0.15104166666666666, 0.234375, 0.2760416666666667, 0.328125, 0.3541666666666667], "identity_acc": 0.21875, "rescue_at1": 0.052083333333333336, "harm_at1": 0.11979166666666667, "nonident_top1": 1.0}}, {"params": {"program": 61, "layer_path": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.3078}, "val": {"pass_at": [0.10416666666666667, 0.21354166666666666, 0.2760416666666667, 0.328125, 0.3489583333333333], "identity_acc": 0.21875, "rescue_at1": 0.0625, "harm_at1": 0.17708333333333334, "nonident_top1": 1.0}}, {"params": {"program": 67, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 23, 23, 24, 25, 27], "train_prior": 0.3036}, "val": {"pass_at": [0.10416666666666667, 0.19791666666666666, 0.2552083333333333, 0.296875, 0.3229166666666667], "identity_acc": 0.21875, "rescue_at1": 0.026041666666666668, "harm_at1": 0.140625, "nonident_top1": 1.0}}, {"params": {"program": 69, "layer_path": [0, 1, 2, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 26, 27], "train_prior": 0.3036}, "val": {"pass_at": [0.09375, 0.18229166666666666, 0.24479166666666666, 0.3072916666666667, 0.3333333333333333], "identity_acc": 0.21875, "rescue_at1": 0.036458333333333336, "harm_at1": 0.16145833333333334, "nonident_top1": 1.0}}, {"params": {"program": 50, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 9, 10, 11, 12, 13, 14, 16, 17, 18, 19, 20, 21, 23, 24, 25, 26, 27], "train_prior": 0.2986}, "val": {"pass_at": [0.0625, 0.17708333333333334, 0.2552083333333333, 0.3229166666666667, 0.34375], "identity_acc": 0.21875, "rescue_at1": 0.03125, "harm_at1": 0.1875, "nonident_top1": 1.0}}, {"params": {"program": 38, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.2957}, "val": {"pass_at": [0.140625, 0.234375, 0.2864583333333333, 0.3385416666666667, 0.359375], "identity_acc": 0.21875, "rescue_at1": 0.041666666666666664, "harm_at1": 0.11979166666666667, "nonident_top1": 1.0}}, {"params": {"program": 54, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 22, 23, 23, 24, 25, 26, 27], "train_prior": 0.2871}, "val": {"pass_at": [0.08333333333333333, 0.18229166666666666, 0.24479166666666666, 0.3125, 0.3385416666666667], "identity_acc": 0.21875, "rescue_at1": 0.036458333333333336, "harm_at1": 0.171875, "nonident_top1": 1.0}}, {"params": {"program": 88, "layer_path": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.279}, "val": {"pass_at": [0.09375, 0.19791666666666666, 0.2604166666666667, 0.3229166666666667, 0.3489583333333333], "identity_acc": 0.21875, "rescue_at1": 0.036458333333333336, "harm_at1": 0.16145833333333334, "nonident_top1": 1.0}}, {"params": {"program": 51, "layer_path": [0, 1, 2, 3, 4, 5, 6, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.2764}, "val": {"pass_at": [0.140625, 0.234375, 0.2916666666666667, 0.3489583333333333, 0.3645833333333333], "identity_acc": 0.21875, "rescue_at1": 0.046875, "harm_at1": 0.125, "nonident_top1": 1.0}}, {"params": {"program": 66, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 10, 11, 12, 14, 15, 15, 16, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.2732}, "val": {"pass_at": [0.07291666666666667, 0.18229166666666666, 0.2552083333333333, 0.3125, 0.3385416666666667], "identity_acc": 0.21875, "rescue_at1": 0.03125, "harm_at1": 0.17708333333333334, "nonident_top1": 1.0}}, {"params": {"program": 31, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "train_prior": 0.273}, "val": {"pass_at": [0.1875, 0.23958333333333334, 0.2916666666666667, 0.3385416666666667, 0.3645833333333333], "identity_acc": 0.21875, "rescue_at1": 0.046875, "harm_at1": 0.078125, "nonident_top1": 1.0}}, {"params": {"program": 11, "layer_path": [0, 1, 3, 4, 5, 6, 7, 8, 9, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.2687}, "val": {"pass_at": [0.07291666666666667, 0.1875, 0.2604166666666667, 0.3229166666666667, 0.34375], "identity_acc": 0.21875, "rescue_at1": 0.057291666666666664, "harm_at1": 0.203125, "nonident_top1": 1.0}}, {"params": {"program": 52, "layer_path": [0, 1, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.2666}, "val": {"pass_at": [0.052083333333333336, 0.171875, 0.23958333333333334, 0.3072916666666667, 0.3333333333333333], "identity_acc": 0.21875, "rescue_at1": 0.026041666666666668, "harm_at1": 0.19270833333333334, "nonident_top1": 1.0}}, {"params": {"program": 120, "layer_path": [0, 1, 2, 3, 3, 4, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.2665}, "val": {"pass_at": [0.109375, 0.203125, 0.2552083333333333, 0.3072916666666667, 0.3333333333333333], "identity_acc": 0.21875, "rescue_at1": 0.036458333333333336, "harm_at1": 0.14583333333333334, "nonident_top1": 1.0}}, {"params": {"program": 16, "layer_path": [0, 1, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.2631}, "val": {"pass_at": [0.057291666666666664, 0.17708333333333334, 0.24479166666666666, 0.3125, 0.3385416666666667], "identity_acc": 0.21875, "rescue_at1": 0.020833333333333332, "harm_at1": 0.18229166666666666, "nonident_top1": 1.0}}, {"params": {"program": 91, "layer_path": [0, 1, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 12, 13, 14, 15, 16, 17, 18, 19, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.2626}, "val": {"pass_at": [0.041666666666666664, 0.16145833333333334, 0.23958333333333334, 0.3072916666666667, 0.3333333333333333], "identity_acc": 0.21875, "rescue_at1": 0.020833333333333332, "harm_at1": 0.19791666666666666, "nonident_top1": 1.0}}]}}}
polar_split/fixed_program/llama32_3b/polar_default/seed42/diff4/fold1.json ADDED
@@ -0,0 +1 @@
 
 
1
+ {"difficulty": 4, "menu_size": 117, "prompt_style": "raw", "samples": "/app/data/router_data/theirsplit_cv/l3b_lpselraw_diff4_f1.json", "n": {"train": 961, "val": 192, "test": 384}, "methods": {"fixed": {"winner": {"program": 84, "layer_path": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.2479}, "val": {"pass_at": [0.15625, 0.21354166666666666, 0.2552083333333333, 0.28125, 0.3229166666666667], "identity_acc": 0.20833333333333334, "rescue_at1": 0.0625, "harm_at1": 0.11458333333333333, "nonident_top1": 1.0}, "test": {"pass_at": [0.109375, 0.18229166666666666, 0.2578125, 0.2994791666666667, 0.34375], "identity_acc": 0.21875, "rescue_at1": 0.052083333333333336, "harm_at1": 0.16145833333333334, "nonident_top1": 1.0, "mcnemar_p": 3.7146415938284177e-06, "n_distinct_top1": 1, "top_nonidentity": [{"layer_path": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "n": 384}], "per_question": [{"query_id": "MATH/train/geometry/58.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/676.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/492.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/1966.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/1135.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/230.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/252.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/656.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/53.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/580.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/866.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/1627.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1494.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/precalculus/790.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/1430.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/1090.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/474.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1514.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/963.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/geometry/966.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/892.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1262.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/451.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1450.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/675.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/615.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/428.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/835.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/575.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/1225.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1801.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/501.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/147.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1461.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/155.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/929.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1859.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/1154.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/639.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/384.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/123.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2803.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/505.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/822.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/372.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1057.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/precalculus/191.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/753.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/841.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1223.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/831.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/907.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/2388.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1370.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1785.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/2487.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/1101.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/371.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/899.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/1253.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/656.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/265.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1921.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/1263.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/590.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1917.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/874.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/367.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/2056.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/749.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/426.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/542.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1365.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1304.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1098.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2006.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1709.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/649.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/2778.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1953.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/precalculus/370.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2678.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/308.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/360.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/geometry/303.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/815.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/810.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/836.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/2791.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/181.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/541.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/897.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/675.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/1028.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1415.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/2200.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2289.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/62.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/59.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/775.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/247.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/1104.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1764.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2607.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/584.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/1062.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/79.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/24022.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/759.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/326.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/precalculus/1010.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/959.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/24737.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1305.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/438.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/749.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/201.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/1735.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/412.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/662.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2447.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1517.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/precalculus/552.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/126.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/157.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/650.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/86.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/923.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1840.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/precalculus/706.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1599.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/634.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/309.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/811.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/1048.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/695.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/geometry/349.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1068.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/2.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/525.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/779.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/98.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/333.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/55.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/geometry/1099.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/419.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/787.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/385.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1049.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/264.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/72.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/238.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1025.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/810.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/number_theory/633.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1644.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/1242.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/858.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/375.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/97.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/215.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/350.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/2049.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/400.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/899.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/algebra/624.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/algebra/602.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/851.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/894.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/70.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/23928.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/512.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2504.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/935.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/2505.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/240.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1420.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/810.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1077.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/916.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/1205.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/precalculus/1190.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/1045.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/geometry/532.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/817.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/127.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/algebra/2767.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/594.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/1156.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/510.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/892.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/605.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/393.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/1249.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/988.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/782.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1350.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/816.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/853.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/809.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/498.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/756.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1142.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/1250.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1774.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2266.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1361.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/958.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/244.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1370.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/1108.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/1217.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/997.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1315.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1906.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/299.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/868.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/25002.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/637.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/622.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/220.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/919.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/78.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1154.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1769.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1692.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1955.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/748.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/2180.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1525.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/349.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/1030.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/290.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1211.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/946.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2230.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/956.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/659.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/414.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/1021.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/708.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/410.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/371.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/1141.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/2035.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/25192.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1540.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/1190.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1908.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/655.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/1262.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/753.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/226.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/1020.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/precalculus/1258.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/109.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/839.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/2050.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/1012.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/459.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1161.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/1152.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/24884.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1525.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1327.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/658.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1923.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/algebra/444.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/529.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/630.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/632.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/586.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/546.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/601.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1751.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1298.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/241.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/586.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/948.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/geometry/891.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/144.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/2016.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/203.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/441.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/445.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/1070.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/2071.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/945.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1848.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/461.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/2.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/geometry/506.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/1124.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1286.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/precalculus/745.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1671.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/869.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/561.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/566.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/precalculus/29.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/118.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/308.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/851.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2468.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/234.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/precalculus/1099.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/882.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2001.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/318.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/325.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/377.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/831.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1444.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/866.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/404.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/845.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1858.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/precalculus/1058.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/2080.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/607.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2727.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1939.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/565.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1603.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/25610.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/115.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/718.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/336.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/81.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/2044.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/1719.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1340.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/745.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/geometry/147.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/824.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/1055.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2668.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/974.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/979.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/882.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/486.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/1860.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1126.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/precalculus/95.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/860.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/1105.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/948.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1261.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/667.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/754.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1643.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1281.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/941.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/201.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/2107.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/geometry/35.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/975.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/47.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1819.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/1795.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/30.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/429.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1831.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1100.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/geometry/42.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/35.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/2185.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1013.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/389.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/129.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/553.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1613.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/precalculus/607.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/512.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/424.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/433.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1425.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/808.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/707.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1767.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/887.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/1186.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/793.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/860.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}]}, "all_val": [{"params": {"program": 20, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "train_prior": 0.4704}, "val": {"pass_at": [0.08854166666666667, 0.16666666666666666, 0.20833333333333334, 0.265625, 0.3177083333333333], "identity_acc": 0.20833333333333334, "rescue_at1": 0.03125, "harm_at1": 0.15104166666666666, "nonident_top1": 1.0}}, {"params": {"program": 35, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 22, 23, 23, 24, 25, 26, 27], "train_prior": 0.3737}, "val": {"pass_at": [0.13020833333333334, 0.16666666666666666, 0.20833333333333334, 0.265625, 0.3177083333333333], "identity_acc": 0.20833333333333334, "rescue_at1": 0.036458333333333336, "harm_at1": 0.11458333333333333, "nonident_top1": 1.0}}, {"params": {"program": 70, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 21, 23, 24, 25, 26, 27], "train_prior": 0.3642}, "val": {"pass_at": [0.08854166666666667, 0.15104166666666666, 0.20833333333333334, 0.265625, 0.3177083333333333], "identity_acc": 0.20833333333333334, "rescue_at1": 0.036458333333333336, "harm_at1": 0.15625, "nonident_top1": 1.0}}, {"params": {"program": 19, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "train_prior": 0.355}, "val": {"pass_at": [0.109375, 0.16145833333333334, 0.22395833333333334, 0.265625, 0.3177083333333333], "identity_acc": 0.20833333333333334, "rescue_at1": 0.03125, "harm_at1": 0.13020833333333334, "nonident_top1": 1.0}}, {"params": {"program": 49, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 23, 24, 25, 26, 27], "train_prior": 0.3392}, "val": {"pass_at": [0.14583333333333334, 0.17708333333333334, 0.234375, 0.2708333333333333, 0.3177083333333333], "identity_acc": 0.20833333333333334, "rescue_at1": 0.046875, "harm_at1": 0.109375, "nonident_top1": 1.0}}, {"params": {"program": 81, "layer_path": [0, 1, 2, 3, 3, 4, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.3187}, "val": {"pass_at": [0.11979166666666667, 0.17708333333333334, 0.234375, 0.265625, 0.3072916666666667], "identity_acc": 0.20833333333333334, "rescue_at1": 0.041666666666666664, "harm_at1": 0.13020833333333334, "nonident_top1": 1.0}}, {"params": {"program": 87, "layer_path": [0, 1, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 12, 13, 14, 15, 16, 17, 18, 19, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.2975}, "val": {"pass_at": [0.015625, 0.10416666666666667, 0.17708333333333334, 0.21875, 0.2708333333333333], "identity_acc": 0.20833333333333334, "rescue_at1": 0.010416666666666666, "harm_at1": 0.203125, "nonident_top1": 1.0}}, {"params": {"program": 9, "layer_path": [0, 1, 3, 4, 5, 6, 7, 8, 9, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.2839}, "val": {"pass_at": [0.08333333333333333, 0.13541666666666666, 0.203125, 0.24479166666666666, 0.2916666666666667], "identity_acc": 0.20833333333333334, "rescue_at1": 0.03125, "harm_at1": 0.15625, "nonident_top1": 1.0}}, {"params": {"program": 54, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 23, 24, 24, 25, 26, 27], "train_prior": 0.281}, "val": {"pass_at": [0.08333333333333333, 0.13541666666666666, 0.19791666666666666, 0.23958333333333334, 0.2864583333333333], "identity_acc": 0.20833333333333334, "rescue_at1": 0.020833333333333332, "harm_at1": 0.14583333333333334, "nonident_top1": 1.0}}, {"params": {"program": 79, "layer_path": [0, 1, 2, 2, 3, 4, 5, 6, 7, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 20, 21, 22, 22, 23, 24, 25, 26, 27], "train_prior": 0.2789}, "val": {"pass_at": [0.036458333333333336, 0.11458333333333333, 0.18229166666666666, 0.22395833333333334, 0.28125], "identity_acc": 0.20833333333333334, "rescue_at1": 0.010416666666666666, "harm_at1": 0.18229166666666666, "nonident_top1": 1.0}}, {"params": {"program": 37, "layer_path": [0, 1, 2, 2, 3, 4, 5, 6, 7, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.2783}, "val": {"pass_at": [0.078125, 0.13541666666666666, 0.203125, 0.234375, 0.2916666666666667], "identity_acc": 0.20833333333333334, "rescue_at1": 0.03125, "harm_at1": 0.16145833333333334, "nonident_top1": 1.0}}, {"params": {"program": 78, "layer_path": [0, 1, 2, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 26, 27], "train_prior": 0.2625}, "val": {"pass_at": [0.09375, 0.14583333333333334, 0.21875, 0.25, 0.296875], "identity_acc": 0.20833333333333334, "rescue_at1": 0.041666666666666664, "harm_at1": 0.15625, "nonident_top1": 1.0}}, {"params": {"program": 23, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "train_prior": 0.2589}, "val": {"pass_at": [0.06770833333333333, 0.10416666666666667, 0.17708333333333334, 0.21875, 0.2708333333333333], "identity_acc": 0.20833333333333334, "rescue_at1": 0.010416666666666666, "harm_at1": 0.15104166666666666, "nonident_top1": 1.0}}, {"params": {"program": 18, "layer_path": [0, 1, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.2496}, "val": {"pass_at": [0.0625, 0.140625, 0.21354166666666666, 0.23958333333333334, 0.2916666666666667], "identity_acc": 0.20833333333333334, "rescue_at1": 0.036458333333333336, "harm_at1": 0.18229166666666666, "nonident_top1": 1.0}}, {"params": {"program": 30, "layer_path": [0, 1, 2, 3, 4, 5, 7, 8, 9, 10, 11, 12, 13, 14, 15, 17, 17, 18, 19, 20, 21, 22, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.2492}, "val": {"pass_at": [0.03125, 0.11458333333333333, 0.17708333333333334, 0.21875, 0.2760416666666667], "identity_acc": 0.20833333333333334, "rescue_at1": 0.005208333333333333, "harm_at1": 0.18229166666666666, "nonident_top1": 1.0}}, {"params": {"program": 84, "layer_path": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.2479}, "val": {"pass_at": [0.15625, 0.21354166666666666, 0.2552083333333333, 0.28125, 0.3229166666666667], "identity_acc": 0.20833333333333334, "rescue_at1": 0.0625, "harm_at1": 0.11458333333333333, "nonident_top1": 1.0}}, {"params": {"program": 104, "layer_path": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.2473}, "val": {"pass_at": [0.09895833333333333, 0.15625, 0.21875, 0.25, 0.296875], "identity_acc": 0.20833333333333334, "rescue_at1": 0.041666666666666664, "harm_at1": 0.15104166666666666, "nonident_top1": 1.0}}, {"params": {"program": 59, "layer_path": [0, 1, 2, 3, 4, 5, 6, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.2394}, "val": {"pass_at": [0.08333333333333333, 0.140625, 0.20833333333333334, 0.25, 0.3072916666666667], "identity_acc": 0.20833333333333334, "rescue_at1": 0.036458333333333336, "harm_at1": 0.16145833333333334, "nonident_top1": 1.0}}, {"params": {"program": 33, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 10, 11, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 27], "train_prior": 0.2325}, "val": {"pass_at": [0.06770833333333333, 0.14583333333333334, 0.203125, 0.23958333333333334, 0.296875], "identity_acc": 0.20833333333333334, "rescue_at1": 0.036458333333333336, "harm_at1": 0.17708333333333334, "nonident_top1": 1.0}}, {"params": {"program": 109, "layer_path": [0, 1, 2, 2, 3, 4, 5, 6, 7, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 17, 18, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.2308}, "val": {"pass_at": [0.015625, 0.09895833333333333, 0.171875, 0.21354166666666666, 0.2708333333333333], "identity_acc": 0.20833333333333334, "rescue_at1": 0.010416666666666666, "harm_at1": 0.203125, "nonident_top1": 1.0}}]}}}
polar_split/fixed_program/llama32_3b/polar_default/seed42/diff4/fold2.json ADDED
@@ -0,0 +1 @@
 
 
1
+ {"difficulty": 4, "menu_size": 118, "prompt_style": "raw", "samples": "/app/data/router_data/theirsplit_cv/l3b_lpselraw_diff4_f2.json", "n": {"train": 960, "val": 192, "test": 385}, "methods": {"fixed": {"winner": {"program": 30, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.3366}, "val": {"pass_at": [0.15625, 0.19791666666666666, 0.24479166666666666, 0.2916666666666667, 0.3177083333333333], "identity_acc": 0.20833333333333334, "rescue_at1": 0.0625, "harm_at1": 0.11458333333333333, "nonident_top1": 1.0}, "test": {"pass_at": [0.13506493506493505, 0.21038961038961038, 0.24935064935064935, 0.2779220779220779, 0.3090909090909091], "identity_acc": 0.23636363636363636, "rescue_at1": 0.04155844155844156, "harm_at1": 0.14285714285714285, "nonident_top1": 1.0, "mcnemar_p": 3.7532376885930504e-06, "n_distinct_top1": 1, "top_nonidentity": [{"layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "n": 385}], "per_question": [{"query_id": "MATH/train/intermediate_algebra/1265.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/718.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/383.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1493.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2151.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/842.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/576.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/1048.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1777.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/169.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/1751.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/algebra/2355.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/516.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/number_theory/595.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1821.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/877.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/24411.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/1106.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/605.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1066.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/2061.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/1067.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/707.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1627.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/1363.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/843.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/719.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/898.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/394.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/425.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1308.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/2135.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/810.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/geometry/545.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/411.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/2140.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/233.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/precalculus/975.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/961.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/138.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/1212.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1588.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/397.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/537.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/94.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/geometry/926.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/288.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/1019.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1122.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/199.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/868.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/1292.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/674.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/149.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/910.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/algebra/38.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1654.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/124.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/2568.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2597.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/740.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/58.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2506.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/340.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/556.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2069.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/257.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/2178.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/541.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/271.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/871.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1720.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/973.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/240.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2352.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/647.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/number_theory/498.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/1013.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/564.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/precalculus/497.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/473.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/677.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/857.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/24548.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/641.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/algebra/1964.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2686.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/737.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/729.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/615.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1785.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/39.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/905.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/1469.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/algebra/25404.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/948.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/529.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/geometry/85.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/894.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/53.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/1066.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1201.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/1882.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1099.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/724.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/654.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/24417.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/1137.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/24524.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/205.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/294.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/2036.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/867.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1639.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/1164.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/26.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1083.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/algebra/2304.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/768.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/738.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/2060.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/geometry/858.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1513.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/59.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/476.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/807.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/306.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2643.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1569.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/635.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1958.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/664.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/242.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/145.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/814.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/267.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/348.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1450.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/184.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1818.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/2177.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1315.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/106.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1686.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/342.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1709.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/751.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/500.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/192.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/geometry/1121.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/2120.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/232.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2068.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/algebra/1790.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/517.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/739.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/160.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/927.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/geometry/896.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/713.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1345.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/496.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/2112.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/602.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/585.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/426.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/332.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/940.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/24959.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/2045.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/geometry/1139.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/1127.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1656.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/71.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/6.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/1210.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/2661.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/750.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1242.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/2177.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1277.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1255.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/479.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1567.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1713.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/402.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2384.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/680.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/91.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/329.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/1015.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1378.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/algebra/1240.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2380.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/1424.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1949.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/415.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1866.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/949.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/765.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/761.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1191.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/number_theory/731.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/797.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/1527.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/995.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/257.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/number_theory/934.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1835.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1435.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/number_theory/432.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/geometry/441.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/968.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/774.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/903.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/560.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/687.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/274.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/466.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/geometry/4.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/980.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/764.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/geometry/358.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/1369.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/2063.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/741.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/619.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/798.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/997.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1409.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/950.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/2400.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/757.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/1173.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1984.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/907.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1726.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/645.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/geometry/511.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/302.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/geometry/411.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1429.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/1270.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/1119.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/213.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1329.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/125.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1715.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1297.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/410.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/985.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/434.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/361.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1224.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1844.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/940.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/49.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/2212.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/760.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/322.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/number_theory/1030.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/58.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/162.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1765.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/398.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/geometry/1143.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/542.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2658.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/16.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/1245.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/1294.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1296.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1630.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/343.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/809.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/571.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/848.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/1094.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/743.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/91.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1468.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/863.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/295.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/1243.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/437.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/550.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/619.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/24.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/103.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/122.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1257.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/algebra/2131.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/1110.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/2327.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/1436.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/873.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1285.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/888.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1163.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/329.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/399.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/612.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/geometry/660.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/1026.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1191.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/306.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1856.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/precalculus/579.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/351.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/323.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/precalculus/223.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/1048.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/680.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1986.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/694.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/geometry/202.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/1258.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/572.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/764.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/625.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/262.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/1477.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/591.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/543.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/760.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1116.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/1063.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/precalculus/345.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/846.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/842.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/593.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/806.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/667.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1019.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1613.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/394.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/679.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/746.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1668.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/1043.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1244.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/303.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/117.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/24607.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/1078.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/269.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1806.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/131.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/194.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1505.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/818.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/1003.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/1078.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/2179.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/28.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/1351.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/321.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1533.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/708.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/406.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1955.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1191.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/807.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/301.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1141.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/2229.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1810.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/284.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/683.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/2149.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/136.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/1149.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1053.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1431.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/2076.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1101.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/41.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/746.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/806.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/1027.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2233.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1970.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/2269.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1704.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/670.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}]}, "all_val": [{"params": {"program": 34, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "train_prior": 0.3632}, "val": {"pass_at": [0.08854166666666667, 0.15104166666666666, 0.21354166666666666, 0.24479166666666666, 0.296875], "identity_acc": 0.20833333333333334, "rescue_at1": 0.03125, "harm_at1": 0.15104166666666666, "nonident_top1": 1.0}}, {"params": {"program": 68, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 21, 23, 24, 25, 26, 27], "train_prior": 0.3629}, "val": {"pass_at": [0.08854166666666667, 0.15104166666666666, 0.21354166666666666, 0.24479166666666666, 0.296875], "identity_acc": 0.20833333333333334, "rescue_at1": 0.036458333333333336, "harm_at1": 0.15625, "nonident_top1": 1.0}}, {"params": {"program": 69, "layer_path": [0, 1, 2, 3, 3, 4, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.3629}, "val": {"pass_at": [0.11979166666666667, 0.17708333333333334, 0.21354166666666666, 0.24479166666666666, 0.296875], "identity_acc": 0.20833333333333334, "rescue_at1": 0.041666666666666664, "harm_at1": 0.13020833333333334, "nonident_top1": 1.0}}, {"params": {"program": 47, "layer_path": [0, 1, 2, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 26, 27], "train_prior": 0.3545}, "val": {"pass_at": [0.09375, 0.14583333333333334, 0.19270833333333334, 0.24479166666666666, 0.296875], "identity_acc": 0.20833333333333334, "rescue_at1": 0.041666666666666664, "harm_at1": 0.15625, "nonident_top1": 1.0}}, {"params": {"program": 50, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 23, 24, 25, 26, 27], "train_prior": 0.3545}, "val": {"pass_at": [0.14583333333333334, 0.17708333333333334, 0.21354166666666666, 0.2708333333333333, 0.296875], "identity_acc": 0.20833333333333334, "rescue_at1": 0.046875, "harm_at1": 0.109375, "nonident_top1": 1.0}}, {"params": {"program": 30, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.3366}, "val": {"pass_at": [0.15625, 0.19791666666666666, 0.24479166666666666, 0.2916666666666667, 0.3177083333333333], "identity_acc": 0.20833333333333334, "rescue_at1": 0.0625, "harm_at1": 0.11458333333333333, "nonident_top1": 1.0}}, {"params": {"program": 72, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 23, 23, 24, 25, 27], "train_prior": 0.3202}, "val": {"pass_at": [0.11979166666666667, 0.171875, 0.21875, 0.2604166666666667, 0.2864583333333333], "identity_acc": 0.20833333333333334, "rescue_at1": 0.052083333333333336, "harm_at1": 0.140625, "nonident_top1": 1.0}}, {"params": {"program": 36, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 11, 12, 14, 15, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.2951}, "val": {"pass_at": [0.109375, 0.16666666666666666, 0.21875, 0.2604166666666667, 0.28125], "identity_acc": 0.20833333333333334, "rescue_at1": 0.036458333333333336, "harm_at1": 0.13541666666666666, "nonident_top1": 1.0}}, {"params": {"program": 56, "layer_path": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.2802}, "val": {"pass_at": [0.11458333333333333, 0.16666666666666666, 0.21354166666666666, 0.24479166666666666, 0.2708333333333333], "identity_acc": 0.20833333333333334, "rescue_at1": 0.052083333333333336, "harm_at1": 0.14583333333333334, "nonident_top1": 1.0}}, {"params": {"program": 85, "layer_path": [0, 1, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 23, 23, 24, 25, 27], "train_prior": 0.2777}, "val": {"pass_at": [0.041666666666666664, 0.11458333333333333, 0.171875, 0.22916666666666666, 0.2552083333333333], "identity_acc": 0.20833333333333334, "rescue_at1": 0.020833333333333332, "harm_at1": 0.1875, "nonident_top1": 1.0}}, {"params": {"program": 62, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 10, 11, 12, 14, 15, 15, 16, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.2722}, "val": {"pass_at": [0.07291666666666667, 0.14583333333333334, 0.19270833333333334, 0.23958333333333334, 0.2604166666666667], "identity_acc": 0.20833333333333334, "rescue_at1": 0.026041666666666668, "harm_at1": 0.16145833333333334, "nonident_top1": 1.0}}, {"params": {"program": 57, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 22, 23, 23, 24, 25, 26, 27], "train_prior": 0.2685}, "val": {"pass_at": [0.13020833333333334, 0.16666666666666666, 0.20833333333333334, 0.265625, 0.296875], "identity_acc": 0.20833333333333334, "rescue_at1": 0.036458333333333336, "harm_at1": 0.11458333333333333, "nonident_top1": 1.0}}, {"params": {"program": 17, "layer_path": [0, 1, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.2672}, "val": {"pass_at": [0.0625, 0.140625, 0.1875, 0.23958333333333334, 0.265625], "identity_acc": 0.20833333333333334, "rescue_at1": 0.036458333333333336, "harm_at1": 0.18229166666666666, "nonident_top1": 1.0}}, {"params": {"program": 115, "layer_path": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.2649}, "val": {"pass_at": [0.09895833333333333, 0.16666666666666666, 0.21354166666666666, 0.2552083333333333, 0.28125], "identity_acc": 0.20833333333333334, "rescue_at1": 0.041666666666666664, "harm_at1": 0.15104166666666666, "nonident_top1": 1.0}}, {"params": {"program": 79, "layer_path": [0, 1, 2, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 10, 11, 12, 13, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "train_prior": 0.2614}, "val": {"pass_at": [0.07291666666666667, 0.13020833333333334, 0.18229166666666666, 0.24479166666666666, 0.2760416666666667], "identity_acc": 0.20833333333333334, "rescue_at1": 0.015625, "harm_at1": 0.15104166666666666, "nonident_top1": 1.0}}, {"params": {"program": 31, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "train_prior": 0.2611}, "val": {"pass_at": [0.109375, 0.16145833333333334, 0.21354166666666666, 0.2604166666666667, 0.2864583333333333], "identity_acc": 0.20833333333333334, "rescue_at1": 0.03125, "harm_at1": 0.13020833333333334, "nonident_top1": 1.0}}, {"params": {"program": 71, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 9, 10, 11, 12, 13, 14, 16, 17, 18, 19, 20, 21, 23, 24, 25, 26, 27], "train_prior": 0.2592}, "val": {"pass_at": [0.041666666666666664, 0.11458333333333333, 0.17708333333333334, 0.22395833333333334, 0.2552083333333333], "identity_acc": 0.20833333333333334, "rescue_at1": 0.015625, "harm_at1": 0.18229166666666666, "nonident_top1": 1.0}}, {"params": {"program": 38, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27], "train_prior": 0.2485}, "val": {"pass_at": [0.13541666666666666, 0.18229166666666666, 0.234375, 0.265625, 0.296875], "identity_acc": 0.20833333333333334, "rescue_at1": 0.03125, "harm_at1": 0.10416666666666667, "nonident_top1": 1.0}}, {"params": {"program": 64, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 23, 24, 24, 25, 26, 27], "train_prior": 0.2474}, "val": {"pass_at": [0.08333333333333333, 0.13541666666666666, 0.19270833333333334, 0.23958333333333334, 0.2708333333333333], "identity_acc": 0.20833333333333334, "rescue_at1": 0.020833333333333332, "harm_at1": 0.14583333333333334, "nonident_top1": 1.0}}, {"params": {"program": 82, "layer_path": [0, 1, 2, 2, 3, 4, 5, 6, 7, 7, 8, 9, 10, 11, 11, 12, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 26, 27], "train_prior": 0.2469}, "val": {"pass_at": [0.057291666666666664, 0.125, 0.1875, 0.234375, 0.2552083333333333], "identity_acc": 0.20833333333333334, "rescue_at1": 0.015625, "harm_at1": 0.16666666666666666, "nonident_top1": 1.0}}]}}}
polar_split/fixed_program/llama32_3b/polar_default/seed42/diff4/fold3.json ADDED
@@ -0,0 +1 @@
 
 
1
+ {"difficulty": 4, "menu_size": 119, "prompt_style": "raw", "samples": "/app/data/router_data/theirsplit_cv/l3b_lpselraw_diff4_f3.json", "n": {"train": 961, "val": 192, "test": 384}, "methods": {"fixed": {"winner": {"program": 70, "layer_path": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.3205}, "val": {"pass_at": [0.15625, 0.24479166666666666, 0.2708333333333333, 0.3020833333333333, 0.3125], "identity_acc": 0.20833333333333334, "rescue_at1": 0.0625, "harm_at1": 0.11458333333333333, "nonident_top1": 1.0}, "test": {"pass_at": [0.11197916666666667, 0.20052083333333334, 0.2578125, 0.3020833333333333, 0.3098958333333333], "identity_acc": 0.24479166666666666, "rescue_at1": 0.041666666666666664, "harm_at1": 0.17447916666666666, "nonident_top1": 1.0, "mcnemar_p": 1.3888556445417404e-08, "n_distinct_top1": 1, "top_nonidentity": [{"layer_path": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "n": 384}], "per_question": [{"query_id": "MATH/train/algebra/563.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/1131.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/32.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1516.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1889.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/824.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/196.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/875.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/1016.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/828.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/727.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/513.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/616.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/precalculus/1189.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/24113.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/24964.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1677.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/299.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/651.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1579.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/2041.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2038.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/177.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/828.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/405.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/167.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/388.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/565.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1884.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/2.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2704.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/256.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1439.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1041.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/geometry/132.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/136.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/653.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/925.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/157.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1491.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/750.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/639.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1108.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/747.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/57.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/1110.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/488.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/283.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1106.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/410.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/precalculus/1153.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1222.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/135.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/820.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/608.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1186.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/203.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/307.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/287.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1867.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/34.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/1106.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/510.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1150.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/797.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/121.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1552.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1576.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1235.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/1041.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/556.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/25284.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/878.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/1246.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2773.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/758.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/958.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/224.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/geometry/1000.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/precalculus/590.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/2211.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1481.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/540.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/2422.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/866.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/1069.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/geometry/340.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/104.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/257.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/94.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/24005.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/350.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/1052.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/1175.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/24.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1058.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/731.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1719.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1554.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/1178.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2726.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2228.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/645.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/927.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1689.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1700.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/734.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/480.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/632.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/797.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/1307.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1006.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/2006.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/118.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/670.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/number_theory/31.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/2128.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/576.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/971.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/algebra/195.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/212.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/660.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1655.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1722.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/550.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1556.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1403.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/425.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1336.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/125.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/precalculus/492.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/33.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/543.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/603.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/geometry/701.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/957.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1838.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1037.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/221.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1673.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1322.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/precalculus/792.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2766.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/317.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/452.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1724.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1013.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/336.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/232.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/geometry/93.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/618.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/544.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2782.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/11.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/832.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/1641.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/geometry/716.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2181.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/280.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/algebra/1139.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1175.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/531.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/619.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1325.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/precalculus/1180.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/442.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/925.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1359.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1643.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/471.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/1153.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/781.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/2085.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1872.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2560.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/precalculus/839.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/367.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/geometry/799.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/63.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/580.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/18.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/37.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/697.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1398.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/457.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1005.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/811.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/1058.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/975.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/173.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/305.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1526.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/423.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/881.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/839.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/844.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/2042.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/geometry/908.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/311.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/601.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/2062.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/319.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/2032.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/213.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/24402.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/31.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/1852.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/number_theory/809.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/1280.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/1877.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/189.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/576.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/2617.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/898.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/1002.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1273.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/205.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1495.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/25370.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/116.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/315.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/1264.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2581.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1518.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/2067.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/93.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/462.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2622.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1337.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/754.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/1993.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/555.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/455.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1489.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/1630.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/297.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/385.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/743.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/657.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1871.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/377.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/algebra/709.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1164.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/318.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/25474.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/941.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1215.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/561.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/939.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/geometry/71.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/419.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1694.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/654.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/25295.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/224.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/625.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2219.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/978.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/540.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/777.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/765.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/2170.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/1001.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/158.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/176.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1719.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/1085.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/251.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/46.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/number_theory/1264.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/1008.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/251.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1402.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/112.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/659.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/476.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1522.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/428.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/2716.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/1079.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/231.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/202.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/556.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/801.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/733.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/249.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1431.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/914.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/934.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/881.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/geometry/144.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/555.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1515.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/535.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/precalculus/978.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/187.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2345.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/2118.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/geometry/121.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1696.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/872.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/200.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/1109.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/652.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/678.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/886.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2624.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/299.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/149.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/959.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/315.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2497.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/726.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/920.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/567.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2202.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/2334.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/2143.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/781.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/349.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/531.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/327.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1325.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/940.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1892.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/25.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/631.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/600.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/679.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/785.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/244.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/1036.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/349.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/934.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/355.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1515.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/527.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2372.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/1154.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/915.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/1883.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/802.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/1250.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/2087.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/938.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/0.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/114.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/528.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/240.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/525.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1997.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/geometry/944.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2426.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1167.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/491.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/geometry/657.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/precalculus/113.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2075.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/658.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2406.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/430.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/386.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/199.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/precalculus/275.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/number_theory/482.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/696.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/3.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2382.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/301.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/1102.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/295.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/887.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/296.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1630.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1004.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/559.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/348.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/1604.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/650.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/947.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/793.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1546.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/177.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/130.json", "top1": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}]}, "all_val": [{"params": {"program": 31, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 23, 24, 25, 26, 27], "train_prior": 0.4788}, "val": {"pass_at": [0.14583333333333334, 0.17708333333333334, 0.22395833333333334, 0.23958333333333334, 0.28125], "identity_acc": 0.20833333333333334, "rescue_at1": 0.046875, "harm_at1": 0.109375, "nonident_top1": 1.0}}, {"params": {"program": 24, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "train_prior": 0.4378}, "val": {"pass_at": [0.08854166666666667, 0.17708333333333334, 0.22395833333333334, 0.23958333333333334, 0.28125], "identity_acc": 0.20833333333333334, "rescue_at1": 0.03125, "harm_at1": 0.15104166666666666, "nonident_top1": 1.0}}, {"params": {"program": 51, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 23, 23, 24, 25, 27], "train_prior": 0.4138}, "val": {"pass_at": [0.11979166666666667, 0.203125, 0.22395833333333334, 0.23958333333333334, 0.28125], "identity_acc": 0.20833333333333334, "rescue_at1": 0.052083333333333336, "harm_at1": 0.140625, "nonident_top1": 1.0}}, {"params": {"program": 41, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 9, 10, 11, 12, 13, 14, 16, 17, 18, 19, 20, 21, 23, 24, 25, 26, 27], "train_prior": 0.3634}, "val": {"pass_at": [0.041666666666666664, 0.18229166666666666, 0.19791666666666666, 0.23958333333333334, 0.28125], "identity_acc": 0.20833333333333334, "rescue_at1": 0.015625, "harm_at1": 0.18229166666666666, "nonident_top1": 1.0}}, {"params": {"program": 33, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 22, 23, 23, 24, 25, 26, 27], "train_prior": 0.3483}, "val": {"pass_at": [0.13020833333333334, 0.22395833333333334, 0.234375, 0.2708333333333333, 0.28125], "identity_acc": 0.20833333333333334, "rescue_at1": 0.036458333333333336, "harm_at1": 0.11458333333333333, "nonident_top1": 1.0}}, {"params": {"program": 57, "layer_path": [0, 1, 2, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 26, 27], "train_prior": 0.3224}, "val": {"pass_at": [0.09375, 0.203125, 0.21875, 0.265625, 0.28125], "identity_acc": 0.20833333333333334, "rescue_at1": 0.041666666666666664, "harm_at1": 0.15625, "nonident_top1": 1.0}}, {"params": {"program": 67, "layer_path": [0, 1, 2, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 10, 11, 12, 13, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "train_prior": 0.3205}, "val": {"pass_at": [0.07291666666666667, 0.16666666666666666, 0.19270833333333334, 0.234375, 0.25], "identity_acc": 0.20833333333333334, "rescue_at1": 0.015625, "harm_at1": 0.15104166666666666, "nonident_top1": 1.0}}, {"params": {"program": 70, "layer_path": [0, 1, 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.3205}, "val": {"pass_at": [0.15625, 0.24479166666666666, 0.2708333333333333, 0.3020833333333333, 0.3125], "identity_acc": 0.20833333333333334, "rescue_at1": 0.0625, "harm_at1": 0.11458333333333333, "nonident_top1": 1.0}}, {"params": {"program": 39, "layer_path": [0, 1, 2, 2, 3, 4, 5, 6, 7, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.3149}, "val": {"pass_at": [0.078125, 0.171875, 0.19791666666666666, 0.23958333333333334, 0.2552083333333333], "identity_acc": 0.20833333333333334, "rescue_at1": 0.03125, "harm_at1": 0.16145833333333334, "nonident_top1": 1.0}}, {"params": {"program": 23, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "train_prior": 0.2949}, "val": {"pass_at": [0.109375, 0.20833333333333334, 0.22916666666666666, 0.2760416666666667, 0.2864583333333333], "identity_acc": 0.20833333333333334, "rescue_at1": 0.03125, "harm_at1": 0.13020833333333334, "nonident_top1": 1.0}}, {"params": {"program": 65, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 10, 11, 12, 14, 15, 15, 16, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.2867}, "val": {"pass_at": [0.07291666666666667, 0.18229166666666666, 0.21354166666666666, 0.2552083333333333, 0.2708333333333333], "identity_acc": 0.20833333333333334, "rescue_at1": 0.026041666666666668, "harm_at1": 0.16145833333333334, "nonident_top1": 1.0}}, {"params": {"program": 16, "layer_path": [0, 1, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.2791}, "val": {"pass_at": [0.0625, 0.19791666666666666, 0.22395833333333334, 0.2708333333333333, 0.2864583333333333], "identity_acc": 0.20833333333333334, "rescue_at1": 0.036458333333333336, "harm_at1": 0.18229166666666666, "nonident_top1": 1.0}}, {"params": {"program": 76, "layer_path": [0, 1, 2, 2, 3, 4, 5, 6, 7, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 20, 21, 22, 22, 23, 24, 25, 26, 27], "train_prior": 0.278}, "val": {"pass_at": [0.036458333333333336, 0.16145833333333334, 0.19270833333333334, 0.234375, 0.25], "identity_acc": 0.20833333333333334, "rescue_at1": 0.010416666666666666, "harm_at1": 0.18229166666666666, "nonident_top1": 1.0}}, {"params": {"program": 88, "layer_path": [0, 1, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 12, 13, 14, 15, 16, 17, 18, 19, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.278}, "val": {"pass_at": [0.015625, 0.16145833333333334, 0.19270833333333334, 0.23958333333333334, 0.2552083333333333], "identity_acc": 0.20833333333333334, "rescue_at1": 0.010416666666666666, "harm_at1": 0.203125, "nonident_top1": 1.0}}, {"params": {"program": 45, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.2725}, "val": {"pass_at": [0.15625, 0.22916666666666666, 0.2552083333333333, 0.2916666666666667, 0.3020833333333333], "identity_acc": 0.20833333333333334, "rescue_at1": 0.0625, "harm_at1": 0.11458333333333333, "nonident_top1": 1.0}}, {"params": {"program": 50, "layer_path": [0, 1, 2, 3, 4, 5, 6, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.266}, "val": {"pass_at": [0.08333333333333333, 0.18229166666666666, 0.20833333333333334, 0.25, 0.2604166666666667], "identity_acc": 0.20833333333333334, "rescue_at1": 0.036458333333333336, "harm_at1": 0.16145833333333334, "nonident_top1": 1.0}}, {"params": {"program": 100, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 21, 23, 24, 25, 26, 27], "train_prior": 0.2652}, "val": {"pass_at": [0.08854166666666667, 0.19791666666666666, 0.21354166666666666, 0.2552083333333333, 0.2708333333333333], "identity_acc": 0.20833333333333334, "rescue_at1": 0.036458333333333336, "harm_at1": 0.15625, "nonident_top1": 1.0}}, {"params": {"program": 37, "layer_path": [0, 1, 2, 3, 4, 5, 7, 8, 9, 10, 11, 12, 13, 14, 15, 17, 17, 18, 19, 20, 21, 22, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.2624}, "val": {"pass_at": [0.03125, 0.16145833333333334, 0.19270833333333334, 0.22916666666666666, 0.24479166666666666], "identity_acc": 0.20833333333333334, "rescue_at1": 0.005208333333333333, "harm_at1": 0.18229166666666666, "nonident_top1": 1.0}}, {"params": {"program": 84, "layer_path": [0, 1, 2, 2, 3, 4, 5, 6, 7, 7, 8, 9, 10, 11, 11, 12, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 26, 27], "train_prior": 0.2616}, "val": {"pass_at": [0.057291666666666664, 0.1875, 0.203125, 0.24479166666666666, 0.2604166666666667], "identity_acc": 0.20833333333333334, "rescue_at1": 0.015625, "harm_at1": 0.16666666666666666, "nonident_top1": 1.0}}, {"params": {"program": 55, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 23, 24, 24, 25, 26, 27], "train_prior": 0.2579}, "val": {"pass_at": [0.08333333333333333, 0.18229166666666666, 0.20833333333333334, 0.2552083333333333, 0.265625], "identity_acc": 0.20833333333333334, "rescue_at1": 0.020833333333333332, "harm_at1": 0.14583333333333334, "nonident_top1": 1.0}}]}}}
polar_split/fixed_program/llama32_3b/polar_default/seed42/diff5/fold0.json ADDED
@@ -0,0 +1 @@
 
 
1
+ {"difficulty": 5, "menu_size": 106, "prompt_style": "raw", "samples": "/app/data/router_data/theirsplit_cv/l3b_lpselraw_diff5_f0.json", "n": {"train": 986, "val": 197, "test": 394}, "methods": {"fixed": {"winner": {"program": 43, "layer_path": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.305}, "val": {"pass_at": [0.16751269035532995, 0.233502538071066, 0.28426395939086296, 0.3197969543147208, 0.3248730964467005], "identity_acc": 0.28426395939086296, "rescue_at1": 0.050761421319796954, "harm_at1": 0.16751269035532995, "nonident_top1": 1.0}, "test": {"pass_at": [0.1548223350253807, 0.2233502538071066, 0.27411167512690354, 0.30710659898477155, 0.3147208121827411], "identity_acc": 0.25380710659898476, "rescue_at1": 0.048223350253807105, "harm_at1": 0.14720812182741116, "nonident_top1": 1.0, "mcnemar_p": 9.77507078797376e-06, "n_distinct_top1": 1, "top_nonidentity": [{"layer_path": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "n": 394}], "per_question": [{"query_id": "MATH/train/algebra/1109.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/6081.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1316.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/1110.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1989.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1311.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1415.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2311.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1361.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/6191.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/2325.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/geometry/168.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/914.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/21.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1725.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/675.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/561.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/661.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/1091.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/6222.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/5118.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/2563.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/107.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/83.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/geometry/6161.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/1407.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/2051.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1649.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/569.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/2414.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/5032.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/geometry/6023.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1614.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/897.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1380.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/geometry/6001.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/519.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/2117.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1629.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/5092.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/5034.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/640.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/541.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/893.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/926.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/1031.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/571.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1866.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/422.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/902.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/81.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/geometry/126.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1112.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/536.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/921.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1366.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/9.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/5094.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1740.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/278.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/523.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1175.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/28.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/6151.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1675.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1149.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/1078.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/429.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/848.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/20.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/626.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2394.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/863.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/259.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1296.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/5017.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1664.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/geometry/6004.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/geometry/937.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/geometry/6159.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/899.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/855.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/481.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/6232.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/641.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1663.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/435.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/813.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/305.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/1669.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/671.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1382.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/257.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/5109.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/737.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/1000.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/707.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2550.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1280.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1216.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/2260.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/382.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/440.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/5009.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1672.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/24753.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/2110.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/5077.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/1183.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/418.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/861.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/geometry/531.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/5096.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/geometry/6145.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/geometry/6116.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/923.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1632.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/309.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/627.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1471.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1369.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/24565.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/24123.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1978.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/730.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/2538.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/622.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1668.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/5100.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1503.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/250.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/geometry/523.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/324.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1404.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1549.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/6177.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/444.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/1628.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/724.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/943.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1085.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/478.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/301.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1927.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/algebra/2326.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/111.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/118.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/631.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/94.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2189.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/5093.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1575.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/669.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/5049.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/geometry/6070.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/6094.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/6097.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/888.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/361.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/geometry/6125.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/geometry/6203.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/geometry/1006.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/397.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/343.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/algebra/199.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/5119.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/geometry/960.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/571.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1903.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/6061.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2630.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/2056.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/geometry/6085.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1972.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/986.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/geometry/264.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/585.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1530.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1695.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1879.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/6210.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/53.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/6226.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/2012.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2077.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/789.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1844.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/5131.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/949.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1759.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1258.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/859.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/873.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/388.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1892.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/537.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/588.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/6091.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1983.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1752.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/794.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/25516.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/644.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/1040.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/geometry/241.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2451.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1710.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/433.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2353.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/978.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/algebra/715.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1578.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/25480.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/621.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/106.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/6211.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/5133.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/2026.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/507.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/912.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/348.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/1844.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/geometry/6154.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/25272.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/6162.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/1271.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/774.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/297.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/498.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/geometry/412.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/711.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/geometry/721.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/6016.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/2178.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1618.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/714.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/544.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/490.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/6237.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/9017.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/1029.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/5085.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1590.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2297.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2182.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/1952.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2472.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/5022.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/881.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/5090.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/6068.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1605.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/1027.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/1041.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2681.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/2133.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/335.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/geometry/6142.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/762.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/5042.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/6019.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/737.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1130.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/1080.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1304.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/971.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/geometry/767.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/2306.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2484.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1867.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/2092.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1466.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/5107.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/483.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/25039.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/886.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1234.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1201.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/485.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/360.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/5087.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1200.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/371.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/6201.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/587.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/algebra/2143.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1822.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1146.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1554.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2424.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/909.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/1688.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/6027.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2663.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2600.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1278.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/457.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/228.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/5125.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/408.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/681.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/17.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1551.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/241.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/206.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/24954.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/6024.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1276.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/23.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2832.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/669.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/261.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/6133.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/geometry/939.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/28.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/603.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1327.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2835.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/746.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/25569.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/783.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1883.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/6208.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/geometry/6003.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/772.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/909.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/281.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2411.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/1705.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1711.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/235.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1226.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1915.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/2052.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/1029.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/350.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/325.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/2067.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1177.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/geometry/191.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/6144.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1346.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/111.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2483.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1086.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/502.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1367.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/1106.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/5116.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/957.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2632.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/9008.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/923.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1533.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/164.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/6181.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/2156.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/6039.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/689.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/401.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/37.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/443.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/5033.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2149.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/1024.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/957.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/1712.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/algebra/1687.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/6227.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/geometry/758.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/786.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/2052.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/165.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/356.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/669.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/5005.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/1017.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/872.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/2055.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/88.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/114.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/geometry/680.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1649.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/5129.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/713.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1219.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1942.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/6174.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/25846.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1725.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/99.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2020.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2423.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2479.json", "top1": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}]}, "all_val": [{"params": {"program": 20, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "train_prior": 0.4434}, "val": {"pass_at": [0.12690355329949238, 0.19796954314720813, 0.2436548223350254, 0.24873096446700507, 0.27411167512690354], "identity_acc": 0.28426395939086296, "rescue_at1": 0.025380710659898477, "harm_at1": 0.18274111675126903, "nonident_top1": 1.0}}, {"params": {"program": 18, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "train_prior": 0.3924}, "val": {"pass_at": [0.14213197969543148, 0.19796954314720813, 0.2436548223350254, 0.24873096446700507, 0.27411167512690354], "identity_acc": 0.28426395939086296, "rescue_at1": 0.030456852791878174, "harm_at1": 0.17258883248730963, "nonident_top1": 1.0}}, {"params": {"program": 31, "layer_path": [0, 1, 2, 3, 4, 5, 6, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.3919}, "val": {"pass_at": [0.1116751269035533, 0.19289340101522842, 0.2436548223350254, 0.24873096446700507, 0.27411167512690354], "identity_acc": 0.28426395939086296, "rescue_at1": 0.030456852791878174, "harm_at1": 0.20304568527918782, "nonident_top1": 1.0}}, {"params": {"program": 21, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "train_prior": 0.3155}, "val": {"pass_at": [0.10152284263959391, 0.15228426395939088, 0.20812182741116753, 0.24873096446700507, 0.27411167512690354], "identity_acc": 0.28426395939086296, "rescue_at1": 0.015228426395939087, "harm_at1": 0.19796954314720813, "nonident_top1": 1.0}}, {"params": {"program": 64, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 11, 12, 14, 15, 16, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.3147}, "val": {"pass_at": [0.07106598984771574, 0.16751269035532995, 0.22842639593908629, 0.26903553299492383, 0.27411167512690354], "identity_acc": 0.28426395939086296, "rescue_at1": 0.02030456852791878, "harm_at1": 0.233502538071066, "nonident_top1": 1.0}}, {"params": {"program": 33, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 23, 24, 25, 26, 27], "train_prior": 0.3113}, "val": {"pass_at": [0.1065989847715736, 0.18274111675126903, 0.24873096446700507, 0.2893401015228426, 0.29441624365482233], "identity_acc": 0.28426395939086296, "rescue_at1": 0.02030456852791878, "harm_at1": 0.19796954314720813, "nonident_top1": 1.0}}, {"params": {"program": 43, "layer_path": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.305}, "val": {"pass_at": [0.16751269035532995, 0.233502538071066, 0.28426395939086296, 0.3197969543147208, 0.3248730964467005], "identity_acc": 0.28426395939086296, "rescue_at1": 0.050761421319796954, "harm_at1": 0.16751269035532995, "nonident_top1": 1.0}}, {"params": {"program": 40, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "train_prior": 0.2848}, "val": {"pass_at": [0.050761421319796954, 0.14213197969543148, 0.20812182741116753, 0.25380710659898476, 0.25888324873096447], "identity_acc": 0.28426395939086296, "rescue_at1": 0.015228426395939087, "harm_at1": 0.24873096446700507, "nonident_top1": 1.0}}, {"params": {"program": 78, "layer_path": [0, 1, 2, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 13, 14, 15, 16, 17, 18, 19, 19, 20, 21, 22, 23, 24, 26], "train_prior": 0.2753}, "val": {"pass_at": [0.01015228426395939, 0.12690355329949238, 0.19796954314720813, 0.2436548223350254, 0.24873096446700507], "identity_acc": 0.28426395939086296, "rescue_at1": 0.0, "harm_at1": 0.27411167512690354, "nonident_top1": 1.0}}, {"params": {"program": 96, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 22, 23, 24, 25, 25, 26, 27], "train_prior": 0.262}, "val": {"pass_at": [0.16243654822335024, 0.2436548223350254, 0.29441624365482233, 0.3147208121827411, 0.3197969543147208], "identity_acc": 0.28426395939086296, "rescue_at1": 0.050761421319796954, "harm_at1": 0.17258883248730963, "nonident_top1": 1.0}}, {"params": {"program": 100, "layer_path": [0, 1, 2, 2, 3, 3, 4, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "train_prior": 0.262}, "val": {"pass_at": [0.07614213197969544, 0.14720812182741116, 0.2131979695431472, 0.25888324873096447, 0.2639593908629442], "identity_acc": 0.28426395939086296, "rescue_at1": 0.01015228426395939, "harm_at1": 0.2182741116751269, "nonident_top1": 1.0}}, {"params": {"program": 102, "layer_path": [0, 1, 2, 2, 3, 3, 4, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 24, 26, 27], "train_prior": 0.262}, "val": {"pass_at": [0.07614213197969544, 0.16243654822335024, 0.2233502538071066, 0.26903553299492383, 0.27411167512690354], "identity_acc": 0.28426395939086296, "rescue_at1": 0.015228426395939087, "harm_at1": 0.2233502538071066, "nonident_top1": 1.0}}, {"params": {"program": 41, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 22, 23, 23, 24, 25, 26, 27], "train_prior": 0.2464}, "val": {"pass_at": [0.15736040609137056, 0.2233502538071066, 0.27918781725888325, 0.3147208121827411, 0.3197969543147208], "identity_acc": 0.28426395939086296, "rescue_at1": 0.03553299492385787, "harm_at1": 0.16243654822335024, "nonident_top1": 1.0}}, {"params": {"program": 57, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 16, 17, 18, 19, 20, 21, 22, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.2457}, "val": {"pass_at": [0.04568527918781726, 0.15736040609137056, 0.22842639593908629, 0.26903553299492383, 0.27411167512690354], "identity_acc": 0.28426395939086296, "rescue_at1": 0.02030456852791878, "harm_at1": 0.25888324873096447, "nonident_top1": 1.0}}, {"params": {"program": 80, "layer_path": [0, 1, 2, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 26, 27], "train_prior": 0.2433}, "val": {"pass_at": [0.04568527918781726, 0.15228426395939088, 0.2182741116751269, 0.25888324873096447, 0.2639593908629442], "identity_acc": 0.28426395939086296, "rescue_at1": 0.015228426395939087, "harm_at1": 0.25380710659898476, "nonident_top1": 1.0}}, {"params": {"program": 95, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 11, 12, 14, 15, 15, 16, 18, 19, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.2433}, "val": {"pass_at": [0.04568527918781726, 0.14213197969543148, 0.2131979695431472, 0.25380710659898476, 0.25888324873096447], "identity_acc": 0.28426395939086296, "rescue_at1": 0.01015228426395939, "harm_at1": 0.24873096446700507, "nonident_top1": 1.0}}, {"params": {"program": 50, "layer_path": [0, 1, 2, 2, 3, 4, 5, 6, 7, 8, 9, 9, 10, 11, 12, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 23, 24, 25, 26, 27], "train_prior": 0.2372}, "val": {"pass_at": [0.09137055837563451, 0.17766497461928935, 0.23857868020304568, 0.26903553299492383, 0.27411167512690354], "identity_acc": 0.28426395939086296, "rescue_at1": 0.030456852791878174, "harm_at1": 0.2233502538071066, "nonident_top1": 1.0}}, {"params": {"program": 36, "layer_path": [0, 1, 2, 2, 3, 4, 5, 6, 7, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.2335}, "val": {"pass_at": [0.1065989847715736, 0.18781725888324874, 0.2436548223350254, 0.27918781725888325, 0.28426395939086296], "identity_acc": 0.28426395939086296, "rescue_at1": 0.025380710659898477, "harm_at1": 0.20304568527918782, "nonident_top1": 1.0}}, {"params": {"program": 7, "layer_path": [0, 1, 3, 4, 5, 6, 7, 8, 9, 10, 11, 10, 11, 12, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.2331}, "val": {"pass_at": [0.12690355329949238, 0.2131979695431472, 0.25380710659898476, 0.29441624365482233, 0.29949238578680204], "identity_acc": 0.28426395939086296, "rescue_at1": 0.04568527918781726, "harm_at1": 0.20304568527918782, "nonident_top1": 1.0}}, {"params": {"program": 71, "layer_path": [0, 1, 2, 3, 4, 5, 6, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 17, 18, 19, 20, 21, 23, 24, 25, 26, 27], "train_prior": 0.2319}, "val": {"pass_at": [0.07614213197969544, 0.15736040609137056, 0.20812182741116753, 0.2436548223350254, 0.24873096446700507], "identity_acc": 0.28426395939086296, "rescue_at1": 0.01015228426395939, "harm_at1": 0.2182741116751269, "nonident_top1": 1.0}}]}}}
polar_split/fixed_program/llama32_3b/polar_default/seed42/diff5/fold1.json ADDED
@@ -0,0 +1 @@
 
 
1
+ {"difficulty": 5, "menu_size": 117, "prompt_style": "raw", "samples": "/app/data/router_data/theirsplit_cv/l3b_lpselraw_diff5_f1.json", "n": {"train": 986, "val": 197, "test": 394}, "methods": {"fixed": {"winner": {"program": 18, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "train_prior": 0.3648}, "val": {"pass_at": [0.19289340101522842, 0.23857868020304568, 0.26903553299492383, 0.3299492385786802, 0.3401015228426396], "identity_acc": 0.28426395939086296, "rescue_at1": 0.05583756345177665, "harm_at1": 0.14720812182741116, "nonident_top1": 1.0}, "test": {"pass_at": [0.13959390862944163, 0.17766497461928935, 0.19035532994923857, 0.24619289340101522, 0.2893401015228426], "identity_acc": 0.2817258883248731, "rescue_at1": 0.027918781725888325, "harm_at1": 0.1700507614213198, "nonident_top1": 1.0, "mcnemar_p": 6.11831045524052e-11, "n_distinct_top1": 1, "top_nonidentity": [{"layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "n": 394}], "per_question": [{"query_id": "MATH/train/counting_and_probability/26.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/6033.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/25266.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1099.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/6165.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/657.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/477.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/880.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/88.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2707.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2777.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2184.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/280.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1810.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/5026.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/346.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/472.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/644.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/5023.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1685.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/759.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1752.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/5.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1427.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/geometry/1022.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/geometry/6170.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/592.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/6192.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/1841.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/6176.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1631.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/6131.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/739.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1585.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/geometry/6119.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/algebra/1087.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/883.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/953.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1590.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/1116.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/494.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1882.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/527.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/900.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1523.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/344.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/6148.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/geometry/659.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/510.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2837.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/9005.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/1767.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/geometry/395.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1760.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/450.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/249.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1798.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1773.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/949.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/geometry/6105.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1376.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/830.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/geometry/308.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/255.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/825.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/622.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1528.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1901.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/280.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/917.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/5111.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/2184.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/5120.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/912.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/229.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/1489.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/2102.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/1089.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/2366.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/609.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/5001.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/698.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/6175.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/408.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/352.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/2056.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/6049.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/geometry/608.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/436.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/geometry/6215.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/667.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/463.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/geometry/6074.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/831.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/988.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/32.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/1482.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/6095.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/1701.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/1876.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/652.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1161.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2533.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/1690.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1787.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2510.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/801.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/806.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1016.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/600.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1673.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/5040.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/25426.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1009.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/714.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1652.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/5031.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1697.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/891.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/9014.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/6231.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/6228.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/1829.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/8.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/625.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/401.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2197.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1204.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/6132.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/835.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1562.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/629.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2356.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/966.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/6072.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/757.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/24678.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1878.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/5123.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/1768.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/2028.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/6103.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/5016.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1530.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/1395.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1720.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/geometry/1055.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/6046.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/106.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/613.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2800.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1046.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1627.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/geometry/6193.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/480.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/380.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/6008.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/5053.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1685.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/geometry/6006.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/2501.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1225.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/2270.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/515.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/5065.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1780.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1370.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/6204.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/778.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/geometry/938.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1918.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/749.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/900.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/6238.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/geometry/964.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/5091.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/356.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/324.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1013.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/495.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/473.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2290.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/6055.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2405.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/623.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/697.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1190.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/1074.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1512.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1320.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/676.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/133.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/968.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1072.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/638.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1274.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/635.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/1371.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/25287.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/458.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/2134.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/443.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/166.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/5008.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/276.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/6166.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/2032.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/5110.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/5050.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/1455.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/298.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/71.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/565.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/556.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/5043.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1575.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/1595.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/6200.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/algebra/2169.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1474.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/2159.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/864.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/6112.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1774.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/1274.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/778.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1405.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/9028.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/658.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/146.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/469.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/24038.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/837.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/5010.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/750.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/780.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/550.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/1066.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/852.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/6188.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/1830.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/6155.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/geometry/815.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/821.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/197.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/1673.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/1113.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/6062.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/902.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2113.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1894.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/41.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/314.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/1935.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/262.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/977.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2647.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/569.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1938.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2418.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/25087.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/512.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/557.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/6214.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1285.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1177.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/1358.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1267.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/756.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/839.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1641.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1112.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/5071.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/geometry/6223.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/798.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/597.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/geometry/6048.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/algebra/1189.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2377.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1140.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1426.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/5018.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/6216.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/2734.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/56.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1483.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1822.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/5011.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/308.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/988.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/5007.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/6194.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/geometry/980.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/72.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1064.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/570.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1798.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/6124.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/108.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/688.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/1931.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/387.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/195.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/884.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/279.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1926.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/geometry/6209.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1753.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/289.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/897.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/5134.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/6086.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/2000.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/geometry/6178.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/802.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/662.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/583.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/368.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/946.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/geometry/725.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/5086.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1263.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/geometry/832.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/102.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/138.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/1853.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/665.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2611.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2666.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/184.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/1520.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/925.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/464.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/5083.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/1771.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/714.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/256.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/805.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/25250.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/42.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1304.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1620.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/708.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1968.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/geometry/1116.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2616.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/590.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/627.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/1681.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/6109.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1817.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/geometry/403.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/612.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/5069.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/87.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/25090.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1500.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1267.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1377.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/937.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1184.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/117.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/6106.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/792.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/918.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/5106.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/2071.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/5021.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/140.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1640.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/640.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/369.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/1039.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/709.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/784.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/5108.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/2737.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/506.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1756.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/6115.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/498.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/geometry/6207.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/1978.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/868.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/211.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/816.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/100.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2705.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1860.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/6011.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/5.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1625.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/2138.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/910.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}]}, "all_val": [{"params": {"program": 24, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "train_prior": 0.4328}, "val": {"pass_at": [0.13705583756345177, 0.17766497461928935, 0.26903553299492383, 0.3299492385786802, 0.3401015228426396], "identity_acc": 0.28426395939086296, "rescue_at1": 0.04060913705583756, "harm_at1": 0.18781725888324874, "nonident_top1": 1.0}}, {"params": {"program": 34, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "train_prior": 0.3659}, "val": {"pass_at": [0.09644670050761421, 0.17766497461928935, 0.26903553299492383, 0.3299492385786802, 0.3401015228426396], "identity_acc": 0.28426395939086296, "rescue_at1": 0.03553299492385787, "harm_at1": 0.2233502538071066, "nonident_top1": 1.0}}, {"params": {"program": 18, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "train_prior": 0.3648}, "val": {"pass_at": [0.19289340101522842, 0.23857868020304568, 0.26903553299492383, 0.3299492385786802, 0.3401015228426396], "identity_acc": 0.28426395939086296, "rescue_at1": 0.05583756345177665, "harm_at1": 0.14720812182741116, "nonident_top1": 1.0}}, {"params": {"program": 38, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 23, 24, 25, 26, 27], "train_prior": 0.309}, "val": {"pass_at": [0.17258883248730963, 0.24873096446700507, 0.27411167512690354, 0.3299492385786802, 0.3401015228426396], "identity_acc": 0.28426395939086296, "rescue_at1": 0.06598984771573604, "harm_at1": 0.17766497461928935, "nonident_top1": 1.0}}, {"params": {"program": 39, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 25, 26, 27], "train_prior": 0.309}, "val": {"pass_at": [0.14213197969543148, 0.2131979695431472, 0.2436548223350254, 0.29949238578680204, 0.3401015228426396], "identity_acc": 0.28426395939086296, "rescue_at1": 0.030456852791878174, "harm_at1": 0.17258883248730963, "nonident_top1": 1.0}}, {"params": {"program": 72, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 11, 12, 14, 15, 16, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.2944}, "val": {"pass_at": [0.12690355329949238, 0.2131979695431472, 0.233502538071066, 0.2893401015228426, 0.34517766497461927], "identity_acc": 0.28426395939086296, "rescue_at1": 0.03553299492385787, "harm_at1": 0.19289340101522842, "nonident_top1": 1.0}}, {"params": {"program": 25, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "train_prior": 0.2759}, "val": {"pass_at": [0.15228426395939088, 0.18274111675126903, 0.2182741116751269, 0.2893401015228426, 0.350253807106599], "identity_acc": 0.28426395939086296, "rescue_at1": 0.04568527918781726, "harm_at1": 0.17766497461928935, "nonident_top1": 1.0}}, {"params": {"program": 61, "layer_path": [0, 1, 2, 3, 4, 5, 6, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.2708}, "val": {"pass_at": [0.13705583756345177, 0.2131979695431472, 0.2436548223350254, 0.3147208121827411, 0.3553299492385787], "identity_acc": 0.28426395939086296, "rescue_at1": 0.025380710659898477, "harm_at1": 0.17258883248730963, "nonident_top1": 1.0}}, {"params": {"program": 44, "layer_path": [0, 1, 2, 2, 3, 4, 5, 6, 7, 8, 9, 9, 10, 11, 12, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 23, 24, 25, 26, 27], "train_prior": 0.2674}, "val": {"pass_at": [0.116751269035533, 0.20304568527918782, 0.23857868020304568, 0.2893401015228426, 0.3350253807106599], "identity_acc": 0.28426395939086296, "rescue_at1": 0.04060913705583756, "harm_at1": 0.20812182741116753, "nonident_top1": 1.0}}, {"params": {"program": 105, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 22, 23, 24, 25, 25, 26, 27], "train_prior": 0.2628}, "val": {"pass_at": [0.14720812182741116, 0.2233502538071066, 0.24873096446700507, 0.3147208121827411, 0.3604060913705584], "identity_acc": 0.28426395939086296, "rescue_at1": 0.02030456852791878, "harm_at1": 0.15736040609137056, "nonident_top1": 1.0}}, {"params": {"program": 109, "layer_path": [0, 1, 2, 2, 3, 3, 4, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "train_prior": 0.2628}, "val": {"pass_at": [0.10152284263959391, 0.18781725888324874, 0.2131979695431472, 0.2893401015228426, 0.3401015228426396], "identity_acc": 0.28426395939086296, "rescue_at1": 0.02030456852791878, "harm_at1": 0.20304568527918782, "nonident_top1": 1.0}}, {"params": {"program": 110, "layer_path": [0, 1, 2, 3, 3, 4, 4, 5, 6, 7, 8, 9, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.2628}, "val": {"pass_at": [0.16751269035532995, 0.23857868020304568, 0.26903553299492383, 0.3299492385786802, 0.37055837563451777], "identity_acc": 0.28426395939086296, "rescue_at1": 0.04568527918781726, "harm_at1": 0.16243654822335024, "nonident_top1": 1.0}}, {"params": {"program": 111, "layer_path": [0, 1, 2, 2, 3, 3, 4, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 24, 26, 27], "train_prior": 0.2628}, "val": {"pass_at": [0.07614213197969544, 0.17258883248730963, 0.20812182741116753, 0.2893401015228426, 0.3401015228426396], "identity_acc": 0.28426395939086296, "rescue_at1": 0.02030456852791878, "harm_at1": 0.22842639593908629, "nonident_top1": 1.0}}, {"params": {"program": 70, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 13, 14, 15, 17, 18, 19, 20, 21, 22, 23, 24, 25, 25, 26, 27], "train_prior": 0.2598}, "val": {"pass_at": [0.05583756345177665, 0.15736040609137056, 0.19796954314720813, 0.27918781725888325, 0.3350253807106599], "identity_acc": 0.28426395939086296, "rescue_at1": 0.02030456852791878, "harm_at1": 0.24873096446700507, "nonident_top1": 1.0}}, {"params": {"program": 80, "layer_path": [0, 1, 2, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 13, 14, 15, 16, 17, 18, 19, 19, 20, 21, 22, 23, 24, 26], "train_prior": 0.2598}, "val": {"pass_at": [0.05583756345177665, 0.16751269035532995, 0.19796954314720813, 0.27411167512690354, 0.3299492385786802], "identity_acc": 0.28426395939086296, "rescue_at1": 0.005076142131979695, "harm_at1": 0.233502538071066, "nonident_top1": 1.0}}, {"params": {"program": 35, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.2557}, "val": {"pass_at": [0.18781725888324874, 0.23857868020304568, 0.25888324873096447, 0.3350253807106599, 0.3756345177664975], "identity_acc": 0.28426395939086296, "rescue_at1": 0.050761421319796954, "harm_at1": 0.14720812182741116, "nonident_top1": 1.0}}, {"params": {"program": 52, "layer_path": [0, 1, 2, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.2462}, "val": {"pass_at": [0.1116751269035533, 0.18274111675126903, 0.20812182741116753, 0.2893401015228426, 0.3401015228426396], "identity_acc": 0.28426395939086296, "rescue_at1": 0.02030456852791878, "harm_at1": 0.19289340101522842, "nonident_top1": 1.0}}, {"params": {"program": 94, "layer_path": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 22, 23, 24, 25, 26, 27], "train_prior": 0.244}, "val": {"pass_at": [0.09644670050761421, 0.18781725888324874, 0.2182741116751269, 0.2893401015228426, 0.3401015228426396], "identity_acc": 0.28426395939086296, "rescue_at1": 0.030456852791878174, "harm_at1": 0.2182741116751269, "nonident_top1": 1.0}}, {"params": {"program": 104, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 11, 12, 14, 15, 15, 16, 18, 19, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.244}, "val": {"pass_at": [0.050761421319796954, 0.17258883248730963, 0.19796954314720813, 0.28426395939086296, 0.3350253807106599], "identity_acc": 0.28426395939086296, "rescue_at1": 0.025380710659898477, "harm_at1": 0.25888324873096447, "nonident_top1": 1.0}}, {"params": {"program": 108, "layer_path": [0, 1, 2, 3, 3, 4, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.244}, "val": {"pass_at": [0.17258883248730963, 0.24873096446700507, 0.28426395939086296, 0.3553299492385787, 0.38578680203045684], "identity_acc": 0.28426395939086296, "rescue_at1": 0.050761421319796954, "harm_at1": 0.16243654822335024, "nonident_top1": 1.0}}]}}}
polar_split/fixed_program/llama32_3b/polar_default/seed42/diff5/fold2.json ADDED
@@ -0,0 +1 @@
 
 
1
+ {"difficulty": 5, "menu_size": 117, "prompt_style": "raw", "samples": "/app/data/router_data/theirsplit_cv/l3b_lpselraw_diff5_f2.json", "n": {"train": 985, "val": 197, "test": 395}, "methods": {"fixed": {"winner": {"program": 17, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "train_prior": 0.3761}, "val": {"pass_at": [0.19289340101522842, 0.23857868020304568, 0.2893401015228426, 0.3096446700507614, 0.350253807106599], "identity_acc": 0.28426395939086296, "rescue_at1": 0.05583756345177665, "harm_at1": 0.14720812182741116, "nonident_top1": 1.0}, "test": {"pass_at": [0.13164556962025317, 0.18734177215189873, 0.2582278481012658, 0.27848101265822783, 0.33164556962025316], "identity_acc": 0.26329113924050634, "rescue_at1": 0.035443037974683546, "harm_at1": 0.1670886075949367, "nonident_top1": 1.0, "mcnemar_p": 3.1365426901467503e-09, "n_distinct_top1": 1, "top_nonidentity": [{"layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "n": 395}], "per_question": [{"query_id": "MATH/train/counting_and_probability/333.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1754.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/6118.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/5063.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/475.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/6197.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/1471.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1693.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1832.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1427.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/1406.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/959.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1214.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/9010.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/geometry/6130.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/2013.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/geometry/237.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/1420.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/5122.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1743.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/360.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/1717.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2256.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/943.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/2052.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/6206.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/606.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2323.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1769.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/333.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/51.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1096.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/1040.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/670.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/6163.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1479.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/5081.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/6114.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/236.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/921.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/984.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1975.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/728.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/595.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/943.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2725.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/739.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/679.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/6199.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/1581.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/992.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/1963.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/285.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/810.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/2125.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1538.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/geometry/327.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/837.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/836.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1163.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1632.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1655.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/1393.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/1068.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/1013.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/71.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2689.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/9027.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/geometry/6010.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2452.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/24731.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/5038.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/300.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/24106.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/9003.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/596.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/197.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/801.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2033.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2812.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/359.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/5089.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/1684.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/941.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/687.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2225.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/387.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/940.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/5117.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/1116.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1830.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/431.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/45.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/631.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2340.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/638.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1831.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/252.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/690.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/495.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/559.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1746.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/265.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1235.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/2156.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/geometry/6180.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/24377.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1476.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/961.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/geometry/247.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/685.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1923.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/1033.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/6000.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1813.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/geometry/533.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/1130.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/geometry/1045.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/algebra/2324.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/9018.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2339.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1941.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/709.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/709.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/652.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/612.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/185.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/809.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/108.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/219.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/521.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/50.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/664.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/251.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/403.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1045.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1324.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/564.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/451.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/2503.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/274.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/380.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/6190.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/5019.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/783.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/999.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/234.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/1094.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/191.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/geometry/6080.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1629.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/163.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2030.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/6052.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/729.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1670.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/9004.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/752.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/1691.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/480.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/723.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/1025.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/5132.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/6220.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/1048.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/1961.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1749.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2785.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/5035.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/1021.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1426.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/geometry/277.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/5028.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/6065.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/896.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/geometry/6217.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/1075.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1041.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/9021.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/9000.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/189.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2385.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/6202.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/566.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/522.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/324.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1211.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/854.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1059.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1946.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2508.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1889.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1347.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1183.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/623.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1384.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/219.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/2054.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/769.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/26.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1677.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/278.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2282.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1802.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/703.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/177.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/826.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/geometry/6069.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/1344.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/algebra/2275.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/6073.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/6185.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/514.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/179.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/913.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/176.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/geometry/915.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1271.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/596.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1816.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/988.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/geometry/6093.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/775.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/geometry/666.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/2086.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/854.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/geometry/6168.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/6078.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1691.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/874.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/424.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/19.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/geometry/983.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/1393.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/605.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/323.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/815.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1782.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/24079.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1062.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/743.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/789.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/25349.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/2349.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/999.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/9023.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1513.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1501.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1337.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/geometry/839.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1324.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/1648.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/473.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/geometry/6051.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/geometry/793.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/552.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/6129.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/362.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/2770.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/207.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1076.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2601.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1516.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/2105.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/298.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/1741.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/9015.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/570.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/462.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2507.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/286.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1740.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/geometry/604.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/geometry/6041.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/geometry/6117.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/769.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/5064.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/611.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/2009.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1753.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/5039.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1276.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/215.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/645.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/848.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/1353.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/375.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1004.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/geometry/955.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/77.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/9006.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/960.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/2055.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/200.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1404.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/algebra/2208.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/152.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1205.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/156.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/geometry/6032.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1261.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/587.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/geometry/720.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2718.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/355.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/1061.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1532.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1257.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/733.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/517.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/787.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/213.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/1666.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1236.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1381.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/2005.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/1843.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1206.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/651.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/geometry/6015.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2834.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/5048.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1768.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1513.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1533.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/978.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/932.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/173.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1137.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/172.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1693.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1868.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1167.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1152.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/984.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1110.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/657.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1929.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/6113.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2713.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1027.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1818.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/357.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/1726.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/geometry/490.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/6012.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/692.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/2001.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/2344.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1722.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/11.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/479.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/973.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/615.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/geometry/6087.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/1147.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/72.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/9.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/6230.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/1514.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/146.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/89.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/2028.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/121.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/9016.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/geometry/6189.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/367.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/5062.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/157.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/558.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/2097.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/6164.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/1110.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1039.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/geometry/6225.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/599.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1412.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1833.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/6075.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/9024.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/112.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/395.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1264.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1319.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/85.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2142.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1835.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/217.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/411.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1925.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/436.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2833.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1815.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/760.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1555.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}]}, "all_val": [{"params": {"program": 21, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "train_prior": 0.4676}, "val": {"pass_at": [0.13705583756345177, 0.2131979695431472, 0.2893401015228426, 0.3096446700507614, 0.350253807106599], "identity_acc": 0.28426395939086296, "rescue_at1": 0.04060913705583756, "harm_at1": 0.18781725888324874, "nonident_top1": 1.0}}, {"params": {"program": 36, "layer_path": [0, 1, 2, 3, 4, 5, 6, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.3929}, "val": {"pass_at": [0.13705583756345177, 0.2131979695431472, 0.2893401015228426, 0.3096446700507614, 0.350253807106599], "identity_acc": 0.28426395939086296, "rescue_at1": 0.025380710659898477, "harm_at1": 0.17258883248730963, "nonident_top1": 1.0}}, {"params": {"program": 17, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "train_prior": 0.3761}, "val": {"pass_at": [0.19289340101522842, 0.23857868020304568, 0.2893401015228426, 0.3096446700507614, 0.350253807106599], "identity_acc": 0.28426395939086296, "rescue_at1": 0.05583756345177665, "harm_at1": 0.14720812182741116, "nonident_top1": 1.0}}, {"params": {"program": 30, "layer_path": [0, 1, 2, 2, 3, 4, 5, 6, 7, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.3687}, "val": {"pass_at": [0.116751269035533, 0.19796954314720813, 0.24873096446700507, 0.3096446700507614, 0.350253807106599], "identity_acc": 0.28426395939086296, "rescue_at1": 0.04060913705583756, "harm_at1": 0.20812182741116753, "nonident_top1": 1.0}}, {"params": {"program": 41, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 23, 24, 25, 26, 27], "train_prior": 0.3665}, "val": {"pass_at": [0.17258883248730963, 0.24873096446700507, 0.29441624365482233, 0.3401015228426396, 0.350253807106599], "identity_acc": 0.28426395939086296, "rescue_at1": 0.06598984771573604, "harm_at1": 0.17766497461928935, "nonident_top1": 1.0}}, {"params": {"program": 44, "layer_path": [0, 1, 2, 2, 3, 4, 5, 6, 7, 8, 9, 9, 10, 11, 12, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 23, 24, 25, 26, 27], "train_prior": 0.323}, "val": {"pass_at": [0.116751269035533, 0.20304568527918782, 0.2436548223350254, 0.29949238578680204, 0.3197969543147208], "identity_acc": 0.28426395939086296, "rescue_at1": 0.04060913705583756, "harm_at1": 0.20812182741116753, "nonident_top1": 1.0}}, {"params": {"program": 46, "layer_path": [0, 1, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.323}, "val": {"pass_at": [0.02030456852791878, 0.14720812182741116, 0.2233502538071066, 0.29441624365482233, 0.3147208121827411], "identity_acc": 0.28426395939086296, "rescue_at1": 0.005076142131979695, "harm_at1": 0.26903553299492383, "nonident_top1": 1.0}}, {"params": {"program": 61, "layer_path": [0, 1, 2, 2, 3, 4, 5, 6, 7, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 20, 21, 22, 22, 23, 24, 25, 26, 27], "train_prior": 0.3016}, "val": {"pass_at": [0.07106598984771574, 0.17766497461928935, 0.233502538071066, 0.30456852791878175, 0.3147208121827411], "identity_acc": 0.28426395939086296, "rescue_at1": 0.02030456852791878, "harm_at1": 0.233502538071066, "nonident_top1": 1.0}}, {"params": {"program": 66, "layer_path": [0, 1, 2, 3, 4, 5, 6, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 17, 18, 19, 20, 21, 23, 24, 25, 26, 27], "train_prior": 0.3016}, "val": {"pass_at": [0.1218274111675127, 0.2131979695431472, 0.23857868020304568, 0.29949238578680204, 0.3147208121827411], "identity_acc": 0.28426395939086296, "rescue_at1": 0.025380710659898477, "harm_at1": 0.18781725888324874, "nonident_top1": 1.0}}, {"params": {"program": 70, "layer_path": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.3016}, "val": {"pass_at": [0.16751269035532995, 0.23857868020304568, 0.27918781725888325, 0.350253807106599, 0.37055837563451777], "identity_acc": 0.28426395939086296, "rescue_at1": 0.04060913705583756, "harm_at1": 0.15736040609137056, "nonident_top1": 1.0}}, {"params": {"program": 25, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "train_prior": 0.2945}, "val": {"pass_at": [0.15228426395939088, 0.18274111675126903, 0.2436548223350254, 0.29949238578680204, 0.3197969543147208], "identity_acc": 0.28426395939086296, "rescue_at1": 0.04568527918781726, "harm_at1": 0.17766497461928935, "nonident_top1": 1.0}}, {"params": {"program": 57, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 10, 11, 12, 14, 15, 15, 16, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.2858}, "val": {"pass_at": [0.06598984771573604, 0.16751269035532995, 0.2233502538071066, 0.2893401015228426, 0.3096446700507614], "identity_acc": 0.28426395939086296, "rescue_at1": 0.015228426395939087, "harm_at1": 0.233502538071066, "nonident_top1": 1.0}}, {"params": {"program": 63, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 20, 21, 22, 23, 24, 26, 27], "train_prior": 0.2858}, "val": {"pass_at": [0.1218274111675127, 0.19289340101522842, 0.2436548223350254, 0.30456852791878175, 0.3248730964467005], "identity_acc": 0.28426395939086296, "rescue_at1": 0.030456852791878174, "harm_at1": 0.19289340101522842, "nonident_top1": 1.0}}, {"params": {"program": 6, "layer_path": [0, 1, 3, 4, 5, 6, 7, 8, 9, 10, 11, 10, 11, 12, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.2768}, "val": {"pass_at": [0.1319796954314721, 0.2182741116751269, 0.27411167512690354, 0.3350253807106599, 0.34517766497461927], "identity_acc": 0.28426395939086296, "rescue_at1": 0.04060913705583756, "harm_at1": 0.19289340101522842, "nonident_top1": 1.0}}, {"params": {"program": 93, "layer_path": [0, 1, 4, 5, 6, 7, 8, 8, 9, 10, 10, 11, 12, 13, 15, 16, 17, 18, 19, 20, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.2638}, "val": {"pass_at": [0.01015228426395939, 0.14213197969543148, 0.2131979695431472, 0.2893401015228426, 0.3096446700507614], "identity_acc": 0.28426395939086296, "rescue_at1": 0.0, "harm_at1": 0.27411167512690354, "nonident_top1": 1.0}}, {"params": {"program": 103, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 23, 24, 25, 26, 27], "train_prior": 0.2638}, "val": {"pass_at": [0.10152284263959391, 0.18274111675126903, 0.233502538071066, 0.30456852791878175, 0.3197969543147208], "identity_acc": 0.28426395939086296, "rescue_at1": 0.02030456852791878, "harm_at1": 0.20304568527918782, "nonident_top1": 1.0}}, {"params": {"program": 82, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 25, 26, 27], "train_prior": 0.2606}, "val": {"pass_at": [0.18274111675126903, 0.25380710659898476, 0.29949238578680204, 0.350253807106599, 0.3604060913705584], "identity_acc": 0.28426395939086296, "rescue_at1": 0.04060913705583756, "harm_at1": 0.14213197969543148, "nonident_top1": 1.0}}, {"params": {"program": 83, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 11, 12, 14, 15, 16, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.2606}, "val": {"pass_at": [0.12690355329949238, 0.2131979695431472, 0.2639593908629442, 0.3147208121827411, 0.3350253807106599], "identity_acc": 0.28426395939086296, "rescue_at1": 0.03553299492385787, "harm_at1": 0.19289340101522842, "nonident_top1": 1.0}}, {"params": {"program": 87, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 16, 17, 18, 19, 20, 21, 22, 23, 25, 26, 27], "train_prior": 0.2606}, "val": {"pass_at": [0.14213197969543148, 0.2131979695431472, 0.25888324873096447, 0.3248730964467005, 0.34517766497461927], "identity_acc": 0.28426395939086296, "rescue_at1": 0.050761421319796954, "harm_at1": 0.19289340101522842, "nonident_top1": 1.0}}, {"params": {"program": 49, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "train_prior": 0.2572}, "val": {"pass_at": [0.09644670050761421, 0.17766497461928935, 0.2436548223350254, 0.3147208121827411, 0.3350253807106599], "identity_acc": 0.28426395939086296, "rescue_at1": 0.03553299492385787, "harm_at1": 0.2233502538071066, "nonident_top1": 1.0}}]}}}
polar_split/fixed_program/llama32_3b/polar_default/seed42/diff5/fold3.json ADDED
@@ -0,0 +1 @@
 
 
1
+ {"difficulty": 5, "menu_size": 120, "prompt_style": "raw", "samples": "/app/data/router_data/theirsplit_cv/l3b_lpselraw_diff5_f3.json", "n": {"train": 986, "val": 197, "test": 394}, "methods": {"fixed": {"winner": {"program": 19, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "train_prior": 0.3922}, "val": {"pass_at": [0.19289340101522842, 0.23857868020304568, 0.2893401015228426, 0.3096446700507614, 0.3350253807106599], "identity_acc": 0.28426395939086296, "rescue_at1": 0.05583756345177665, "harm_at1": 0.14720812182741116, "nonident_top1": 1.0}, "test": {"pass_at": [0.12436548223350254, 0.16243654822335024, 0.20558375634517767, 0.24873096446700507, 0.2563451776649746], "identity_acc": 0.2436548223350254, "rescue_at1": 0.03553299492385787, "harm_at1": 0.1548223350253807, "nonident_top1": 1.0, "mcnemar_p": 3.807704084089984e-08, "n_distinct_top1": 1, "top_nonidentity": [{"layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "n": 394}], "per_question": [{"query_id": "MATH/train/geometry/6173.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1149.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/625.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1434.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1654.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/236.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/geometry/1132.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/870.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/951.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/98.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2309.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2387.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/6139.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/718.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/1037.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/geometry/6104.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/766.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1940.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/1490.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/626.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/847.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1654.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/9013.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/914.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/68.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/641.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/2521.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/792.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/geometry/6079.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/482.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/597.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/889.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/268.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/390.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/5095.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/1607.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1536.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/1137.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/630.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/544.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/1136.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/61.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/243.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2750.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/25835.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1131.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/483.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/184.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/6005.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/976.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/601.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1659.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/geometry/595.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/geometry/6198.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/geometry/703.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/831.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/529.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/9002.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/540.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/90.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1864.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/5056.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/947.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/1589.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1618.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1320.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/5121.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2825.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2432.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/25484.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1432.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/253.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/5045.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1554.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/6235.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/5113.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/1501.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2067.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/6082.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/geometry/885.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2315.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/648.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/5124.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/768.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/868.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/516.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/24553.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/74.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2301.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/618.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1534.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/1024.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1204.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/1057.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1030.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/686.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/6149.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/6099.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1216.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/2524.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/2086.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/64.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/72.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/geometry/614.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1671.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/125.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/890.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/1020.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/11.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/265.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/0.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/460.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1887.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1006.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1531.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/6221.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/298.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/938.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/1823.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/6219.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/417.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1642.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/6150.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/581.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/6100.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1505.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/9020.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1946.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/geometry/6013.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/539.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/9001.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/187.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/463.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/331.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/1100.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/767.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/291.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1021.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2060.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/6137.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/6057.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/745.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2528.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/730.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/856.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/235.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/448.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/428.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/543.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/355.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/geometry/954.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/466.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/254.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/5128.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1361.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1638.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/1111.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/204.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/688.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/1186.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1883.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/2801.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1110.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/99.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/6060.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/2077.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/9029.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/877.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/1309.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1957.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/6122.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/848.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1192.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/555.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/6212.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/312.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2449.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/758.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1559.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/232.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/372.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/306.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1758.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/445.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/463.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1964.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/836.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/444.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1322.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/871.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1604.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1738.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/403.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1573.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/807.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1233.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/1406.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/629.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/geometry/620.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/324.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/736.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/9022.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1947.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/167.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1935.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/63.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2322.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/727.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/geometry/6171.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/171.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1388.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/626.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1808.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/1022.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/934.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2494.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/691.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/788.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1378.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/490.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1550.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2436.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/572.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/416.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/225.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2463.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/2038.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/503.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/720.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/886.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/algebra/24942.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1452.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/724.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1369.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/443.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/1624.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/88.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/2014.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/1637.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/143.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/2698.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/701.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/643.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/6172.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/731.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/477.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/589.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/161.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2440.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/5103.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1269.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/5004.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/739.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/1109.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/825.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/217.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/algebra/2434.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/341.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/1.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2073.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/geometry/428.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/18.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/9009.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1028.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/108.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/geometry/6229.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/5114.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/2090.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/6152.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/2194.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1357.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/1091.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/398.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1464.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/5115.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/1509.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/755.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/607.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1498.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1683.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1795.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/519.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1571.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2733.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/25220.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1334.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/2194.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/1926.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/889.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/5057.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/982.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/597.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1515.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/712.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/732.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/682.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/609.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/5000.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/2032.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/917.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/995.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/310.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2222.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/6218.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/581.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/2176.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1728.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/455.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/925.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1675.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/1079.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1736.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/24945.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1911.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/617.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/1771.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/741.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/239.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1058.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1287.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/955.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/2057.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2210.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/geometry/6224.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1694.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2625.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/460.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/174.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1944.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/758.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1819.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1853.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/1017.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/456.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/5006.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/108.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1086.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/596.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1011.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/782.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1205.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/203.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/6090.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/318.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2263.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1200.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1745.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/1816.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/5061.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1443.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/6213.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/910.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1789.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/932.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/9007.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/579.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/911.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/6195.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/geometry/390.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2317.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/188.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/850.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/1058.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/1500.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1972.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/454.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2308.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/873.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2699.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/415.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1887.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1594.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/5027.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/695.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2281.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/723.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2591.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/5130.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2589.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1251.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/113.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/2122.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/44.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/893.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/773.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/6111.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/989.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1343.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/5054.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/1583.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/6156.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/751.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/6047.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "identity_correct": false, "top1_correct": false}]}, "all_val": [{"params": {"program": 21, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "train_prior": 0.5135}, "val": {"pass_at": [0.13705583756345177, 0.2131979695431472, 0.2893401015228426, 0.3096446700507614, 0.3350253807106599], "identity_acc": 0.28426395939086296, "rescue_at1": 0.04060913705583756, "harm_at1": 0.18781725888324874, "nonident_top1": 1.0}}, {"params": {"program": 41, "layer_path": [0, 1, 2, 3, 4, 5, 6, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.4015}, "val": {"pass_at": [0.13705583756345177, 0.2131979695431472, 0.2893401015228426, 0.3096446700507614, 0.3350253807106599], "identity_acc": 0.28426395939086296, "rescue_at1": 0.025380710659898477, "harm_at1": 0.17258883248730963, "nonident_top1": 1.0}}, {"params": {"program": 19, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "train_prior": 0.3922}, "val": {"pass_at": [0.19289340101522842, 0.23857868020304568, 0.2893401015228426, 0.3096446700507614, 0.3350253807106599], "identity_acc": 0.28426395939086296, "rescue_at1": 0.05583756345177665, "harm_at1": 0.14720812182741116, "nonident_top1": 1.0}}, {"params": {"program": 32, "layer_path": [0, 1, 2, 2, 3, 4, 5, 6, 7, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.326}, "val": {"pass_at": [0.116751269035533, 0.19796954314720813, 0.24873096446700507, 0.3096446700507614, 0.3350253807106599], "identity_acc": 0.28426395939086296, "rescue_at1": 0.04060913705583756, "harm_at1": 0.20812182741116753, "nonident_top1": 1.0}}, {"params": {"program": 38, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "train_prior": 0.3243}, "val": {"pass_at": [0.09644670050761421, 0.17766497461928935, 0.2436548223350254, 0.3147208121827411, 0.3350253807106599], "identity_acc": 0.28426395939086296, "rescue_at1": 0.03553299492385787, "harm_at1": 0.2233502538071066, "nonident_top1": 1.0}}, {"params": {"program": 43, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 23, 24, 25, 26, 27], "train_prior": 0.3231}, "val": {"pass_at": [0.17258883248730963, 0.24873096446700507, 0.29441624365482233, 0.3401015228426396, 0.350253807106599], "identity_acc": 0.28426395939086296, "rescue_at1": 0.06598984771573604, "harm_at1": 0.17766497461928935, "nonident_top1": 1.0}}, {"params": {"program": 23, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "train_prior": 0.3071}, "val": {"pass_at": [0.15228426395939088, 0.18274111675126903, 0.2436548223350254, 0.29949238578680204, 0.3197969543147208], "identity_acc": 0.28426395939086296, "rescue_at1": 0.04568527918781726, "harm_at1": 0.17766497461928935, "nonident_top1": 1.0}}, {"params": {"program": 53, "layer_path": [0, 1, 2, 2, 3, 4, 5, 6, 7, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 20, 21, 22, 22, 23, 24, 25, 26, 27], "train_prior": 0.3017}, "val": {"pass_at": [0.07106598984771574, 0.17766497461928935, 0.233502538071066, 0.30456852791878175, 0.3147208121827411], "identity_acc": 0.28426395939086296, "rescue_at1": 0.02030456852791878, "harm_at1": 0.233502538071066, "nonident_top1": 1.0}}, {"params": {"program": 39, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.272}, "val": {"pass_at": [0.18781725888324874, 0.23857868020304568, 0.27411167512690354, 0.3401015228426396, 0.350253807106599], "identity_acc": 0.28426395939086296, "rescue_at1": 0.050761421319796954, "harm_at1": 0.14720812182741116, "nonident_top1": 1.0}}, {"params": {"program": 55, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 25, 26, 27], "train_prior": 0.2586}, "val": {"pass_at": [0.14213197969543148, 0.2131979695431472, 0.2639593908629442, 0.3147208121827411, 0.3299492385786802], "identity_acc": 0.28426395939086296, "rescue_at1": 0.030456852791878174, "harm_at1": 0.17258883248730963, "nonident_top1": 1.0}}, {"params": {"program": 56, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 20, 21, 22, 23, 24, 26, 27], "train_prior": 0.2586}, "val": {"pass_at": [0.1218274111675127, 0.19289340101522842, 0.2436548223350254, 0.30456852791878175, 0.3248730964467005], "identity_acc": 0.28426395939086296, "rescue_at1": 0.030456852791878174, "harm_at1": 0.19289340101522842, "nonident_top1": 1.0}}, {"params": {"program": 60, "layer_path": [0, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.2586}, "val": {"pass_at": [0.16751269035532995, 0.23857868020304568, 0.27918781725888325, 0.350253807106599, 0.37055837563451777], "identity_acc": 0.28426395939086296, "rescue_at1": 0.04060913705583756, "harm_at1": 0.15736040609137056, "nonident_top1": 1.0}}, {"params": {"program": 70, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 23, 23, 24, 25, 27], "train_prior": 0.2462}, "val": {"pass_at": [0.14720812182741116, 0.2233502538071066, 0.27411167512690354, 0.3299492385786802, 0.34517766497461927], "identity_acc": 0.28426395939086296, "rescue_at1": 0.050761421319796954, "harm_at1": 0.18781725888324874, "nonident_top1": 1.0}}, {"params": {"program": 106, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 11, 12, 14, 15, 15, 16, 18, 19, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.2451}, "val": {"pass_at": [0.050761421319796954, 0.17258883248730963, 0.22842639593908629, 0.30456852791878175, 0.3197969543147208], "identity_acc": 0.28426395939086296, "rescue_at1": 0.025380710659898477, "harm_at1": 0.25888324873096447, "nonident_top1": 1.0}}, {"params": {"program": 54, "layer_path": [0, 1, 2, 2, 3, 4, 5, 6, 7, 8, 9, 9, 10, 11, 12, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 23, 24, 25, 26, 27], "train_prior": 0.2361}, "val": {"pass_at": [0.116751269035533, 0.20304568527918782, 0.2436548223350254, 0.29949238578680204, 0.3197969543147208], "identity_acc": 0.28426395939086296, "rescue_at1": 0.04060913705583756, "harm_at1": 0.20812182741116753, "nonident_top1": 1.0}}, {"params": {"program": 74, "layer_path": [0, 1, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.2332}, "val": {"pass_at": [0.02030456852791878, 0.14720812182741116, 0.2233502538071066, 0.29441624365482233, 0.3147208121827411], "identity_acc": 0.28426395939086296, "rescue_at1": 0.005076142131979695, "harm_at1": 0.26903553299492383, "nonident_top1": 1.0}}, {"params": {"program": 35, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 10, 11, 12, 14, 15, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.23}, "val": {"pass_at": [0.09137055837563451, 0.20812182741116753, 0.25888324873096447, 0.3248730964467005, 0.3401015228426396], "identity_acc": 0.28426395939086296, "rescue_at1": 0.030456852791878174, "harm_at1": 0.2233502538071066, "nonident_top1": 1.0}}, {"params": {"program": 81, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 13, 14, 15, 16, 17, 18, 19, 20, 20, 21, 22, 23, 24, 25, 27], "train_prior": 0.2288}, "val": {"pass_at": [0.14213197969543148, 0.22842639593908629, 0.27411167512690354, 0.3350253807106599, 0.350253807106599], "identity_acc": 0.28426395939086296, "rescue_at1": 0.05583756345177665, "harm_at1": 0.19796954314720813, "nonident_top1": 1.0}}, {"params": {"program": 91, "layer_path": [0, 1, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 23, 23, 24, 25, 27], "train_prior": 0.2288}, "val": {"pass_at": [0.1065989847715736, 0.20812182741116753, 0.26903553299492383, 0.3248730964467005, 0.3401015228426396], "identity_acc": 0.28426395939086296, "rescue_at1": 0.03553299492385787, "harm_at1": 0.2131979695431472, "nonident_top1": 1.0}}, {"params": {"program": 93, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 13, 14, 15, 17, 18, 19, 20, 21, 22, 23, 24, 25, 25, 26, 27], "train_prior": 0.2288}, "val": {"pass_at": [0.05583756345177665, 0.15736040609137056, 0.22842639593908629, 0.29949238578680204, 0.3096446700507614], "identity_acc": 0.28426395939086296, "rescue_at1": 0.02030456852791878, "harm_at1": 0.24873096446700507, "nonident_top1": 1.0}}]}}}
polar_split/fixed_program/llama32_3b/polar_default/seed7/diff1/fold0.json ADDED
@@ -0,0 +1 @@
 
 
1
+ {"difficulty": 1, "menu_size": 212, "prompt_style": "raw", "samples": "/app/data/router_data/theirsplit_cv/l3b_lpselraws7_diff1_f0.json", "n": {"train": 353, "val": 71, "test": 141}, "methods": {"fixed": {"winner": {"program": 29, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.4668}, "val": {"pass_at": [0.352112676056338, 0.4225352112676056, 0.4647887323943662, 0.49295774647887325, 0.5492957746478874], "identity_acc": 0.352112676056338, "rescue_at1": 0.08450704225352113, "harm_at1": 0.08450704225352113, "nonident_top1": 1.0}, "test": {"pass_at": [0.36879432624113473, 0.44680851063829785, 0.49645390070921985, 0.5319148936170213, 0.5673758865248227], "identity_acc": 0.36879432624113473, "rescue_at1": 0.09929078014184398, "harm_at1": 0.09929078014184398, "nonident_top1": 1.0, "mcnemar_p": 1.0, "n_distinct_top1": 1, "top_nonidentity": [{"layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "n": 141}], "per_question": [{"query_id": "MATH/train/prealgebra/451.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/number_theory/519.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/1875.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/geometry/436.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1067.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/541.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/974.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/828.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/471.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1696.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/238.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/82.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/829.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/667.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/algebra/1769.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/973.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/110.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/46.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2360.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/precalculus/856.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/847.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/963.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/835.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1038.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/1573.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/584.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1323.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/358.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/954.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/111.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/139.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/1140.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/506.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/2771.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/61.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/692.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/precalculus/208.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/2633.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/15.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/481.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/535.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/780.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/57.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/178.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/200.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/2047.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/13.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/precalculus/236.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/905.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/2585.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/556.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/287.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/algebra/2790.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/285.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/geometry/7.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/312.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1948.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/1429.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/223.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/735.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2614.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/814.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/1643.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/70.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/1821.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/576.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/803.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/2730.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/140.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/36.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/83.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1688.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/geometry/768.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2724.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2350.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/304.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/576.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/geometry/748.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/168.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/446.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/159.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1852.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/689.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/606.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/2039.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/number_theory/1031.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/1925.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/272.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/1398.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/1317.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/171.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1450.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/1745.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1896.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/552.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/1636.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/792.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2179.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/828.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/136.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1076.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1400.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/precalculus/678.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/1.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1172.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/255.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/2781.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/643.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/77.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/189.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/624.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1077.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/181.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/472.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/49.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/25.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/563.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/342.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/20.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/algebra/1391.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2703.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/497.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/12.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/806.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/991.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/1413.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/1744.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/525.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2514.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1857.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2673.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/310.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/1106.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/163.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/algebra/2448.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/185.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/538.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/number_theory/260.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/1290.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/186.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/749.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}]}, "all_val": [{"params": {"program": 26, "layer_path": [0, 1, 2, 1, 2, 3, 4, 5, 6, 7, 7, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.5575}, "val": {"pass_at": [0.2112676056338028, 0.3380281690140845, 0.38028169014084506, 0.49295774647887325, 0.5211267605633803], "identity_acc": 0.352112676056338, "rescue_at1": 0.04225352112676056, "harm_at1": 0.18309859154929578, "nonident_top1": 1.0}}, {"params": {"program": 36, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 23, 24, 25, 26, 27], "train_prior": 0.5416}, "val": {"pass_at": [0.2676056338028169, 0.3380281690140845, 0.38028169014084506, 0.49295774647887325, 0.5211267605633803], "identity_acc": 0.352112676056338, "rescue_at1": 0.07042253521126761, "harm_at1": 0.15492957746478872, "nonident_top1": 1.0}}, {"params": {"program": 35, "layer_path": [0, 1, 2, 3, 4, 5, 2, 3, 4, 5, 6, 7, 8, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.5392}, "val": {"pass_at": [0.14084507042253522, 0.29577464788732394, 0.38028169014084506, 0.49295774647887325, 0.5211267605633803], "identity_acc": 0.352112676056338, "rescue_at1": 0.04225352112676056, "harm_at1": 0.2535211267605634, "nonident_top1": 1.0}}, {"params": {"program": 50, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 25, 26, 27], "train_prior": 0.5138}, "val": {"pass_at": [0.3380281690140845, 0.4084507042253521, 0.4647887323943662, 0.49295774647887325, 0.5211267605633803], "identity_acc": 0.352112676056338, "rescue_at1": 0.08450704225352113, "harm_at1": 0.09859154929577464, "nonident_top1": 1.0}}, {"params": {"program": 11, "layer_path": [0, 1, 2, 3, 1, 2, 3, 4, 5, 6, 7, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.5133}, "val": {"pass_at": [0.28169014084507044, 0.352112676056338, 0.4225352112676056, 0.4507042253521127, 0.5211267605633803], "identity_acc": 0.352112676056338, "rescue_at1": 0.07042253521126761, "harm_at1": 0.14084507042253522, "nonident_top1": 1.0}}, {"params": {"program": 33, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.5096}, "val": {"pass_at": [0.2535211267605634, 0.3380281690140845, 0.39436619718309857, 0.4225352112676056, 0.49295774647887325], "identity_acc": 0.352112676056338, "rescue_at1": 0.056338028169014086, "harm_at1": 0.15492957746478872, "nonident_top1": 1.0}}, {"params": {"program": 47, "layer_path": [0, 1, 2, 3, 4, 5, 2, 3, 4, 5, 6, 7, 8, 9, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 22, 23, 24, 25, 26, 27], "train_prior": 0.4958}, "val": {"pass_at": [0.1267605633802817, 0.29577464788732394, 0.36619718309859156, 0.39436619718309857, 0.5070422535211268], "identity_acc": 0.352112676056338, "rescue_at1": 0.056338028169014086, "harm_at1": 0.28169014084507044, "nonident_top1": 1.0}}, {"params": {"program": 54, "layer_path": [0, 1, 2, 3, 4, 5, 2, 3, 4, 5, 7, 8, 9, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 24, 26, 27], "train_prior": 0.4947}, "val": {"pass_at": [0.028169014084507043, 0.23943661971830985, 0.36619718309859156, 0.4084507042253521, 0.5211267605633803], "identity_acc": 0.352112676056338, "rescue_at1": 0.028169014084507043, "harm_at1": 0.352112676056338, "nonident_top1": 1.0}}, {"params": {"program": 78, "layer_path": [0, 1, 2, 3, 4, 5, 2, 3, 4, 5, 6, 7, 8, 9, 10, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "train_prior": 0.493}, "val": {"pass_at": [0.29577464788732394, 0.39436619718309857, 0.4507042253521127, 0.49295774647887325, 0.5633802816901409], "identity_acc": 0.352112676056338, "rescue_at1": 0.08450704225352113, "harm_at1": 0.14084507042253522, "nonident_top1": 1.0}}, {"params": {"program": 96, "layer_path": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 23, 24, 26, 27], "train_prior": 0.4921}, "val": {"pass_at": [0.23943661971830985, 0.323943661971831, 0.43661971830985913, 0.4647887323943662, 0.5211267605633803], "identity_acc": 0.352112676056338, "rescue_at1": 0.04225352112676056, "harm_at1": 0.15492957746478872, "nonident_top1": 1.0}}, {"params": {"program": 52, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 25, 26], "train_prior": 0.4768}, "val": {"pass_at": [0.2676056338028169, 0.38028169014084506, 0.4507042253521127, 0.49295774647887325, 0.5070422535211268], "identity_acc": 0.352112676056338, "rescue_at1": 0.07042253521126761, "harm_at1": 0.15492957746478872, "nonident_top1": 1.0}}, {"params": {"program": 29, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.4668}, "val": {"pass_at": [0.352112676056338, 0.4225352112676056, 0.4647887323943662, 0.49295774647887325, 0.5492957746478874], "identity_acc": 0.352112676056338, "rescue_at1": 0.08450704225352113, "harm_at1": 0.08450704225352113, "nonident_top1": 1.0}}, {"params": {"program": 49, "layer_path": [0, 1, 2, 3, 4, 5, 6, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.4624}, "val": {"pass_at": [0.2112676056338028, 0.323943661971831, 0.4084507042253521, 0.4507042253521127, 0.5070422535211268], "identity_acc": 0.352112676056338, "rescue_at1": 0.04225352112676056, "harm_at1": 0.18309859154929578, "nonident_top1": 1.0}}, {"params": {"program": 17, "layer_path": [0, 1, 2, 3, 1, 2, 3, 4, 5, 6, 7, 7, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.4599}, "val": {"pass_at": [0.23943661971830985, 0.30985915492957744, 0.4084507042253521, 0.43661971830985913, 0.5211267605633803], "identity_acc": 0.352112676056338, "rescue_at1": 0.07042253521126761, "harm_at1": 0.18309859154929578, "nonident_top1": 1.0}}, {"params": {"program": 120, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 23, 24, 25, 25, 26, 27], "train_prior": 0.4582}, "val": {"pass_at": [0.2535211267605634, 0.36619718309859156, 0.43661971830985913, 0.4647887323943662, 0.5211267605633803], "identity_acc": 0.352112676056338, "rescue_at1": 0.056338028169014086, "harm_at1": 0.15492957746478872, "nonident_top1": 1.0}}, {"params": {"program": 90, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 15, 16, 17, 18, 19, 20, 21, 22, 23, 22, 23, 24, 25, 26, 27], "train_prior": 0.4374}, "val": {"pass_at": [0.2535211267605634, 0.38028169014084506, 0.4507042253521127, 0.4788732394366197, 0.5352112676056338], "identity_acc": 0.352112676056338, "rescue_at1": 0.07042253521126761, "harm_at1": 0.16901408450704225, "nonident_top1": 1.0}}, {"params": {"program": 101, "layer_path": [0, 1, 2, 3, 4, 5, 2, 3, 4, 5, 6, 7, 8, 9, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 22, 23, 24, 25, 26, 26, 27], "train_prior": 0.4374}, "val": {"pass_at": [0.11267605633802817, 0.2676056338028169, 0.38028169014084506, 0.4084507042253521, 0.5211267605633803], "identity_acc": 0.352112676056338, "rescue_at1": 0.056338028169014086, "harm_at1": 0.29577464788732394, "nonident_top1": 1.0}}, {"params": {"program": 59, "layer_path": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 18, 18, 19, 20, 21, 22, 23, 24, 24, 25, 26, 26, 27], "train_prior": 0.4349}, "val": {"pass_at": [0.18309859154929578, 0.30985915492957744, 0.4225352112676056, 0.4507042253521127, 0.5070422535211268], "identity_acc": 0.352112676056338, "rescue_at1": 0.04225352112676056, "harm_at1": 0.2112676056338028, "nonident_top1": 1.0}}, {"params": {"program": 19, "layer_path": [0, 1, 2, 3, 4, 5, 2, 3, 4, 5, 6, 7, 8, 9, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26], "train_prior": 0.4343}, "val": {"pass_at": [0.14084507042253522, 0.2676056338028169, 0.352112676056338, 0.39436619718309857, 0.5070422535211268], "identity_acc": 0.352112676056338, "rescue_at1": 0.028169014084507043, "harm_at1": 0.23943661971830985, "nonident_top1": 1.0}}, {"params": {"program": 37, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26], "train_prior": 0.4326}, "val": {"pass_at": [0.11267605633802817, 0.2535211267605634, 0.36619718309859156, 0.39436619718309857, 0.49295774647887325], "identity_acc": 0.352112676056338, "rescue_at1": 0.014084507042253521, "harm_at1": 0.2535211267605634, "nonident_top1": 1.0}}]}}}
polar_split/fixed_program/llama32_3b/polar_default/seed7/diff1/fold1.json ADDED
@@ -0,0 +1 @@
 
 
1
+ {"difficulty": 1, "menu_size": 214, "prompt_style": "raw", "samples": "/app/data/router_data/theirsplit_cv/l3b_lpselraws7_diff1_f1.json", "n": {"train": 353, "val": 71, "test": 141}, "methods": {"fixed": {"winner": {"program": 30, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.4507}, "val": {"pass_at": [0.4084507042253521, 0.49295774647887325, 0.5352112676056338, 0.5633802816901409, 0.5774647887323944], "identity_acc": 0.38028169014084506, "rescue_at1": 0.1267605633802817, "harm_at1": 0.09859154929577464, "nonident_top1": 1.0}, "test": {"pass_at": [0.3333333333333333, 0.41134751773049644, 0.45390070921985815, 0.5177304964539007, 0.5460992907801419], "identity_acc": 0.3617021276595745, "rescue_at1": 0.07092198581560284, "harm_at1": 0.09929078014184398, "nonident_top1": 1.0, "mcnemar_p": 0.5412561893463135, "n_distinct_top1": 1, "top_nonidentity": [{"layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "n": 141}], "per_question": [{"query_id": "MATH/train/algebra/1364.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1991.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1379.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/492.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/335.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1666.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/14.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/365.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/1084.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/180.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/precalculus/348.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/2690.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/569.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/887.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/756.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/precalculus/468.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/precalculus/965.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/2644.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/816.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/681.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/574.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/algebra/1406.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/25015.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/636.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/985.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/465.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2140.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1327.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/284.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/509.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/430.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/1247.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1476.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/487.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/geometry/419.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/531.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/147.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/460.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/precalculus/437.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/656.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/45.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/precalculus/1293.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/399.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/511.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/234.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/geometry/576.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/12.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1274.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/228.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/131.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/324.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/119.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/49.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2234.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/764.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1601.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/266.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1054.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1869.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/548.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/1080.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1851.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/674.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2809.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/73.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/1310.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/734.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2595.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/740.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/779.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2682.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/113.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/579.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/767.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/220.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/699.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/precalculus/246.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/266.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/197.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/number_theory/666.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/1415.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/precalculus/71.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/1053.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/algebra/890.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1793.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/870.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1225.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1104.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1058.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/2011.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/162.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/number_theory/759.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/geometry/578.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/228.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/746.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/12.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/704.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1851.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/760.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1487.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1939.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/779.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/number_theory/442.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/505.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/516.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/2564.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/181.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/1962.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/111.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/63.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/705.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/129.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/246.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1996.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/697.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/590.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/precalculus/718.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/777.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/77.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/precalculus/532.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/number_theory/332.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/962.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/177.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/518.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/347.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/2519.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/261.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/717.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/593.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1509.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1167.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/1157.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/35.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/796.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/469.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/14.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/number_theory/658.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/854.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/33.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/527.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/625.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}]}, "all_val": [{"params": {"program": 25, "layer_path": [0, 1, 2, 1, 2, 3, 4, 5, 6, 7, 7, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.5363}, "val": {"pass_at": [0.323943661971831, 0.38028169014084506, 0.4507042253521127, 0.5070422535211268, 0.5492957746478874], "identity_acc": 0.38028169014084506, "rescue_at1": 0.08450704225352113, "harm_at1": 0.14084507042253522, "nonident_top1": 1.0}}, {"params": {"program": 63, "layer_path": [0, 1, 2, 3, 4, 5, 2, 3, 4, 5, 6, 7, 8, 9, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 22, 23, 24, 25, 26, 26, 27], "train_prior": 0.5205}, "val": {"pass_at": [0.18309859154929578, 0.38028169014084506, 0.4507042253521127, 0.5070422535211268, 0.5492957746478874], "identity_acc": 0.38028169014084506, "rescue_at1": 0.056338028169014086, "harm_at1": 0.2535211267605634, "nonident_top1": 1.0}}, {"params": {"program": 66, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 23, 24, 25, 26, 27], "train_prior": 0.5205}, "val": {"pass_at": [0.28169014084507044, 0.4084507042253521, 0.4507042253521127, 0.5070422535211268, 0.5492957746478874], "identity_acc": 0.38028169014084506, "rescue_at1": 0.056338028169014086, "harm_at1": 0.15492957746478872, "nonident_top1": 1.0}}, {"params": {"program": 41, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 23, 24, 25, 26, 27], "train_prior": 0.5126}, "val": {"pass_at": [0.2676056338028169, 0.4084507042253521, 0.4647887323943662, 0.5070422535211268, 0.5492957746478874], "identity_acc": 0.38028169014084506, "rescue_at1": 0.04225352112676056, "harm_at1": 0.15492957746478872, "nonident_top1": 1.0}}, {"params": {"program": 9, "layer_path": [0, 1, 2, 3, 1, 2, 3, 4, 5, 6, 7, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.5125}, "val": {"pass_at": [0.36619718309859156, 0.4647887323943662, 0.49295774647887325, 0.5211267605633803, 0.5492957746478874], "identity_acc": 0.38028169014084506, "rescue_at1": 0.056338028169014086, "harm_at1": 0.07042253521126761, "nonident_top1": 1.0}}, {"params": {"program": 33, "layer_path": [0, 1, 2, 3, 4, 5, 2, 3, 4, 5, 6, 7, 8, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.5111}, "val": {"pass_at": [0.23943661971830985, 0.39436619718309857, 0.43661971830985913, 0.49295774647887325, 0.5352112676056338], "identity_acc": 0.38028169014084506, "rescue_at1": 0.056338028169014086, "harm_at1": 0.19718309859154928, "nonident_top1": 1.0}}, {"params": {"program": 93, "layer_path": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 23, 24, 26, 27], "train_prior": 0.4931}, "val": {"pass_at": [0.28169014084507044, 0.4507042253521127, 0.4788732394366197, 0.49295774647887325, 0.5211267605633803], "identity_acc": 0.38028169014084506, "rescue_at1": 0.04225352112676056, "harm_at1": 0.14084507042253522, "nonident_top1": 1.0}}, {"params": {"program": 40, "layer_path": [0, 1, 2, 3, 4, 5, 2, 3, 4, 5, 6, 7, 8, 9, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 22, 23, 24, 25, 26, 27], "train_prior": 0.4815}, "val": {"pass_at": [0.2112676056338028, 0.4084507042253521, 0.4084507042253521, 0.4647887323943662, 0.5211267605633803], "identity_acc": 0.38028169014084506, "rescue_at1": 0.08450704225352113, "harm_at1": 0.2535211267605634, "nonident_top1": 1.0}}, {"params": {"program": 53, "layer_path": [0, 1, 2, 3, 4, 5, 2, 3, 4, 5, 7, 8, 9, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 24, 26, 27], "train_prior": 0.4756}, "val": {"pass_at": [0.11267605633802817, 0.38028169014084506, 0.43661971830985913, 0.49295774647887325, 0.5352112676056338], "identity_acc": 0.38028169014084506, "rescue_at1": 0.04225352112676056, "harm_at1": 0.30985915492957744, "nonident_top1": 1.0}}, {"params": {"program": 56, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 25, 26, 27], "train_prior": 0.4756}, "val": {"pass_at": [0.38028169014084506, 0.4647887323943662, 0.49295774647887325, 0.5070422535211268, 0.5352112676056338], "identity_acc": 0.38028169014084506, "rescue_at1": 0.056338028169014086, "harm_at1": 0.056338028169014086, "nonident_top1": 1.0}}, {"params": {"program": 62, "layer_path": [0, 1, 2, 3, 4, 5, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "train_prior": 0.4709}, "val": {"pass_at": [0.30985915492957744, 0.4225352112676056, 0.4788732394366197, 0.49295774647887325, 0.5211267605633803], "identity_acc": 0.38028169014084506, "rescue_at1": 0.07042253521126761, "harm_at1": 0.14084507042253522, "nonident_top1": 1.0}}, {"params": {"program": 64, "layer_path": [0, 1, 2, 3, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 24, 25, 26, 27], "train_prior": 0.4709}, "val": {"pass_at": [0.09859154929577464, 0.38028169014084506, 0.43661971830985913, 0.49295774647887325, 0.5352112676056338], "identity_acc": 0.38028169014084506, "rescue_at1": 0.028169014084507043, "harm_at1": 0.30985915492957744, "nonident_top1": 1.0}}, {"params": {"program": 75, "layer_path": [0, 1, 2, 3, 4, 5, 2, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 24, 25, 27], "train_prior": 0.4678}, "val": {"pass_at": [0.2676056338028169, 0.43661971830985913, 0.4647887323943662, 0.5070422535211268, 0.5492957746478874], "identity_acc": 0.38028169014084506, "rescue_at1": 0.07042253521126761, "harm_at1": 0.18309859154929578, "nonident_top1": 1.0}}, {"params": {"program": 18, "layer_path": [0, 1, 2, 3, 1, 2, 3, 4, 5, 6, 7, 7, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.4611}, "val": {"pass_at": [0.30985915492957744, 0.39436619718309857, 0.43661971830985913, 0.4788732394366197, 0.5352112676056338], "identity_acc": 0.38028169014084506, "rescue_at1": 0.09859154929577464, "harm_at1": 0.16901408450704225, "nonident_top1": 1.0}}, {"params": {"program": 108, "layer_path": [0, 1, 2, 2, 3, 4, 5, 6, 7, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.4593}, "val": {"pass_at": [0.30985915492957744, 0.4084507042253521, 0.4647887323943662, 0.4788732394366197, 0.5211267605633803], "identity_acc": 0.38028169014084506, "rescue_at1": 0.056338028169014086, "harm_at1": 0.1267605633802817, "nonident_top1": 1.0}}, {"params": {"program": 123, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 23, 24, 25, 25, 26, 27], "train_prior": 0.4593}, "val": {"pass_at": [0.36619718309859156, 0.4788732394366197, 0.5070422535211268, 0.5211267605633803, 0.5492957746478874], "identity_acc": 0.38028169014084506, "rescue_at1": 0.08450704225352113, "harm_at1": 0.09859154929577464, "nonident_top1": 1.0}}, {"params": {"program": 51, "layer_path": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 18, 18, 19, 20, 21, 22, 23, 24, 24, 25, 26, 26, 27], "train_prior": 0.4573}, "val": {"pass_at": [0.2112676056338028, 0.38028169014084506, 0.43661971830985913, 0.4788732394366197, 0.5211267605633803], "identity_acc": 0.38028169014084506, "rescue_at1": 0.0, "harm_at1": 0.16901408450704225, "nonident_top1": 1.0}}, {"params": {"program": 34, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.4565}, "val": {"pass_at": [0.23943661971830985, 0.39436619718309857, 0.4507042253521127, 0.5070422535211268, 0.5633802816901409], "identity_acc": 0.38028169014084506, "rescue_at1": 0.07042253521126761, "harm_at1": 0.2112676056338028, "nonident_top1": 1.0}}, {"params": {"program": 28, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 23, 24, 25, 26, 27], "train_prior": 0.4525}, "val": {"pass_at": [0.36619718309859156, 0.4647887323943662, 0.5211267605633803, 0.5352112676056338, 0.5492957746478874], "identity_acc": 0.38028169014084506, "rescue_at1": 0.09859154929577464, "harm_at1": 0.11267605633802817, "nonident_top1": 1.0}}, {"params": {"program": 30, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.4507}, "val": {"pass_at": [0.4084507042253521, 0.49295774647887325, 0.5352112676056338, 0.5633802816901409, 0.5774647887323944], "identity_acc": 0.38028169014084506, "rescue_at1": 0.1267605633802817, "harm_at1": 0.09859154929577464, "nonident_top1": 1.0}}]}}}
polar_split/fixed_program/llama32_3b/polar_default/seed7/diff1/fold2.json ADDED
@@ -0,0 +1 @@
 
 
1
+ {"difficulty": 1, "menu_size": 214, "prompt_style": "raw", "samples": "/app/data/router_data/theirsplit_cv/l3b_lpselraws7_diff1_f2.json", "n": {"train": 352, "val": 71, "test": 142}, "methods": {"fixed": {"winner": {"program": 56, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 25, 26, 27], "train_prior": 0.474}, "val": {"pass_at": [0.38028169014084506, 0.4507042253521127, 0.49295774647887325, 0.5352112676056338, 0.5774647887323944], "identity_acc": 0.38028169014084506, "rescue_at1": 0.056338028169014086, "harm_at1": 0.056338028169014086, "nonident_top1": 1.0}, "test": {"pass_at": [0.3028169014084507, 0.36619718309859156, 0.4647887323943662, 0.5, 0.5492957746478874], "identity_acc": 0.3732394366197183, "rescue_at1": 0.07042253521126761, "harm_at1": 0.14084507042253522, "nonident_top1": 1.0, "mcnemar_p": 0.09873714670538902, "n_distinct_top1": 1, "top_nonidentity": [{"layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 25, 26, 27], "n": 142}], "per_question": [{"query_id": "MATH/train/intermediate_algebra/452.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/precalculus/39.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1023.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/1672.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/2183.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2747.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/1454.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/geometry/104.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2231.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/302.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/650.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/204.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/532.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/720.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/223.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1724.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/332.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/1095.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/algebra/25487.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/75.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/165.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/precalculus/42.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/algebra/2413.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/361.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1008.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/615.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/592.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/number_theory/1054.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/646.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1945.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/339.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/534.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/873.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/652.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/108.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/372.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2654.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1949.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/663.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/106.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1816.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/62.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/1660.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/geometry/231.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/437.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1567.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/216.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/number_theory/464.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/446.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/353.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/number_theory/115.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/671.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/geometry/70.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/507.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/411.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/geometry/31.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/algebra/1117.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2310.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/21.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/963.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/443.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1920.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2692.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1051.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/959.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/precalculus/172.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/2187.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/number_theory/379.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1414.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/precalculus/147.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/344.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2239.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1804.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/309.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/141.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/1.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2461.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/146.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/384.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/101.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/85.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/1357.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/3.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/6.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1078.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2365.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/75.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/1036.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/56.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/1137.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/1587.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/25423.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/696.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/699.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/513.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/600.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/703.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1158.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1246.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/489.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/1964.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/786.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/25051.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/354.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1575.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/75.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/793.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2415.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1236.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/151.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/1330.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/245.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/204.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/989.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/566.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/1921.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/403.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/precalculus/777.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/773.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/938.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/1262.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1279.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1599.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/number_theory/436.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/949.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1061.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/92.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/1954.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1385.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/233.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/546.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2063.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/156.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/algebra/1780.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1437.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/precalculus/1196.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/729.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/253.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/2273.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/382.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/218.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2534.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 25, 26, 27], "identity_correct": true, "top1_correct": true}]}, "all_val": [{"params": {"program": 31, "layer_path": [0, 1, 2, 3, 4, 5, 2, 3, 4, 5, 6, 7, 8, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.6069}, "val": {"pass_at": [0.23943661971830985, 0.4084507042253521, 0.49295774647887325, 0.5492957746478874, 0.6056338028169014], "identity_acc": 0.38028169014084506, "rescue_at1": 0.056338028169014086, "harm_at1": 0.19718309859154928, "nonident_top1": 1.0}}, {"params": {"program": 9, "layer_path": [0, 1, 2, 3, 1, 2, 3, 4, 5, 6, 7, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.5505}, "val": {"pass_at": [0.36619718309859156, 0.4084507042253521, 0.49295774647887325, 0.5492957746478874, 0.6056338028169014], "identity_acc": 0.38028169014084506, "rescue_at1": 0.056338028169014086, "harm_at1": 0.07042253521126761, "nonident_top1": 1.0}}, {"params": {"program": 28, "layer_path": [0, 1, 2, 1, 2, 3, 4, 5, 6, 7, 7, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.5402}, "val": {"pass_at": [0.323943661971831, 0.39436619718309857, 0.49295774647887325, 0.5492957746478874, 0.6056338028169014], "identity_acc": 0.38028169014084506, "rescue_at1": 0.08450704225352113, "harm_at1": 0.14084507042253522, "nonident_top1": 1.0}}, {"params": {"program": 34, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.4958}, "val": {"pass_at": [0.23943661971830985, 0.352112676056338, 0.4647887323943662, 0.5492957746478874, 0.6056338028169014], "identity_acc": 0.38028169014084506, "rescue_at1": 0.07042253521126761, "harm_at1": 0.2112676056338028, "nonident_top1": 1.0}}, {"params": {"program": 86, "layer_path": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 23, 24, 26, 27], "train_prior": 0.4906}, "val": {"pass_at": [0.28169014084507044, 0.36619718309859156, 0.4788732394366197, 0.5492957746478874, 0.6056338028169014], "identity_acc": 0.38028169014084506, "rescue_at1": 0.04225352112676056, "harm_at1": 0.14084507042253522, "nonident_top1": 1.0}}, {"params": {"program": 42, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 6, 7, 8, 9, 10, 11, 12, 13, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.479}, "val": {"pass_at": [0.2676056338028169, 0.352112676056338, 0.4647887323943662, 0.5352112676056338, 0.5915492957746479], "identity_acc": 0.38028169014084506, "rescue_at1": 0.056338028169014086, "harm_at1": 0.16901408450704225, "nonident_top1": 1.0}}, {"params": {"program": 43, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 23, 24, 25, 26, 27], "train_prior": 0.479}, "val": {"pass_at": [0.2676056338028169, 0.39436619718309857, 0.4788732394366197, 0.5352112676056338, 0.5915492957746479], "identity_acc": 0.38028169014084506, "rescue_at1": 0.04225352112676056, "harm_at1": 0.15492957746478872, "nonident_top1": 1.0}}, {"params": {"program": 51, "layer_path": [0, 1, 2, 3, 4, 5, 6, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.4759}, "val": {"pass_at": [0.3380281690140845, 0.4225352112676056, 0.5070422535211268, 0.5633802816901409, 0.5915492957746479], "identity_acc": 0.38028169014084506, "rescue_at1": 0.08450704225352113, "harm_at1": 0.1267605633802817, "nonident_top1": 1.0}}, {"params": {"program": 52, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 6, 7, 8, 9, 10, 11, 12, 13, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 24, 25, 26, 27], "train_prior": 0.4759}, "val": {"pass_at": [0.2112676056338028, 0.3380281690140845, 0.4507042253521127, 0.5211267605633803, 0.5774647887323944], "identity_acc": 0.38028169014084506, "rescue_at1": 0.0, "harm_at1": 0.16901408450704225, "nonident_top1": 1.0}}, {"params": {"program": 53, "layer_path": [0, 1, 1, 2, 3, 4, 5, 6, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.4759}, "val": {"pass_at": [0.352112676056338, 0.4225352112676056, 0.5070422535211268, 0.5774647887323944, 0.6197183098591549], "identity_acc": 0.38028169014084506, "rescue_at1": 0.07042253521126761, "harm_at1": 0.09859154929577464, "nonident_top1": 1.0}}, {"params": {"program": 56, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 25, 26, 27], "train_prior": 0.474}, "val": {"pass_at": [0.38028169014084506, 0.4507042253521127, 0.49295774647887325, 0.5352112676056338, 0.5774647887323944], "identity_acc": 0.38028169014084506, "rescue_at1": 0.056338028169014086, "harm_at1": 0.056338028169014086, "nonident_top1": 1.0}}, {"params": {"program": 61, "layer_path": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 18, 18, 19, 20, 21, 22, 23, 24, 24, 25, 26, 26, 27], "train_prior": 0.4691}, "val": {"pass_at": [0.2112676056338028, 0.323943661971831, 0.4225352112676056, 0.49295774647887325, 0.5492957746478874], "identity_acc": 0.38028169014084506, "rescue_at1": 0.0, "harm_at1": 0.16901408450704225, "nonident_top1": 1.0}}, {"params": {"program": 63, "layer_path": [0, 1, 2, 3, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 24, 25, 26, 27], "train_prior": 0.4691}, "val": {"pass_at": [0.09859154929577464, 0.29577464788732394, 0.4225352112676056, 0.5070422535211268, 0.5492957746478874], "identity_acc": 0.38028169014084506, "rescue_at1": 0.028169014084507043, "harm_at1": 0.30985915492957744, "nonident_top1": 1.0}}, {"params": {"program": 100, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 15, 16, 17, 18, 19, 20, 21, 22, 23, 22, 23, 24, 25, 26, 27], "train_prior": 0.4618}, "val": {"pass_at": [0.36619718309859156, 0.4507042253521127, 0.5070422535211268, 0.5492957746478874, 0.5774647887323944], "identity_acc": 0.38028169014084506, "rescue_at1": 0.08450704225352113, "harm_at1": 0.09859154929577464, "nonident_top1": 1.0}}, {"params": {"program": 36, "layer_path": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 23, 24, 25, 26, 27], "train_prior": 0.4463}, "val": {"pass_at": [0.30985915492957744, 0.38028169014084506, 0.49295774647887325, 0.5492957746478874, 0.6056338028169014], "identity_acc": 0.38028169014084506, "rescue_at1": 0.07042253521126761, "harm_at1": 0.14084507042253522, "nonident_top1": 1.0}}, {"params": {"program": 77, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 20, 21, 22, 23, 23, 24, 25, 26, 27], "train_prior": 0.4425}, "val": {"pass_at": [0.19718309859154928, 0.352112676056338, 0.43661971830985913, 0.5070422535211268, 0.5633802816901409], "identity_acc": 0.38028169014084506, "rescue_at1": 0.014084507042253521, "harm_at1": 0.19718309859154928, "nonident_top1": 1.0}}, {"params": {"program": 18, "layer_path": [0, 1, 2, 3, 1, 2, 3, 4, 5, 6, 7, 7, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.4396}, "val": {"pass_at": [0.30985915492957744, 0.38028169014084506, 0.4788732394366197, 0.5352112676056338, 0.5774647887323944], "identity_acc": 0.38028169014084506, "rescue_at1": 0.09859154929577464, "harm_at1": 0.16901408450704225, "nonident_top1": 1.0}}, {"params": {"program": 84, "layer_path": [0, 1, 2, 3, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 24, 26, 27], "train_prior": 0.4361}, "val": {"pass_at": [0.11267605633802817, 0.29577464788732394, 0.43661971830985913, 0.5211267605633803, 0.5633802816901409], "identity_acc": 0.38028169014084506, "rescue_at1": 0.056338028169014086, "harm_at1": 0.323943661971831, "nonident_top1": 1.0}}, {"params": {"program": 60, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 25, 26], "train_prior": 0.434}, "val": {"pass_at": [0.323943661971831, 0.43661971830985913, 0.4788732394366197, 0.5352112676056338, 0.5774647887323944], "identity_acc": 0.38028169014084506, "rescue_at1": 0.07042253521126761, "harm_at1": 0.1267605633802817, "nonident_top1": 1.0}}, {"params": {"program": 47, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 25, 26, 27], "train_prior": 0.4328}, "val": {"pass_at": [0.29577464788732394, 0.4084507042253521, 0.5070422535211268, 0.5633802816901409, 0.5915492957746479], "identity_acc": 0.38028169014084506, "rescue_at1": 0.07042253521126761, "harm_at1": 0.15492957746478872, "nonident_top1": 1.0}}]}}}
polar_split/fixed_program/llama32_3b/polar_default/seed7/diff1/fold3.json ADDED
@@ -0,0 +1 @@
 
 
1
+ {"difficulty": 1, "menu_size": 204, "prompt_style": "raw", "samples": "/app/data/router_data/theirsplit_cv/l3b_lpselraws7_diff1_f3.json", "n": {"train": 353, "val": 71, "test": 141}, "methods": {"fixed": {"winner": {"program": 15, "layer_path": [0, 1, 2, 3, 1, 2, 3, 4, 5, 6, 7, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.4096}, "val": {"pass_at": [0.38028169014084506, 0.4647887323943662, 0.5070422535211268, 0.5211267605633803, 0.5633802816901409], "identity_acc": 0.38028169014084506, "rescue_at1": 0.08450704225352113, "harm_at1": 0.08450704225352113, "nonident_top1": 1.0}, "test": {"pass_at": [0.2765957446808511, 0.3829787234042553, 0.44680851063829785, 0.48226950354609927, 0.524822695035461], "identity_acc": 0.44680851063829785, "rescue_at1": 0.04964539007092199, "harm_at1": 0.2198581560283688, "nonident_top1": 1.0, "mcnemar_p": 0.00011616700794547796, "n_distinct_top1": 1, "top_nonidentity": [{"layer_path": [0, 1, 2, 3, 1, 2, 3, 4, 5, 6, 7, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 20, 21, 22, 23, 24, 25, 26, 27], "n": 141}], "per_question": [{"query_id": "MATH/train/prealgebra/610.json", "top1": [0, 1, 2, 3, 1, 2, 3, 4, 5, 6, 7, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/322.json", "top1": [0, 1, 2, 3, 1, 2, 3, 4, 5, 6, 7, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/284.json", "top1": [0, 1, 2, 3, 1, 2, 3, 4, 5, 6, 7, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/998.json", "top1": [0, 1, 2, 3, 1, 2, 3, 4, 5, 6, 7, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1172.json", "top1": [0, 1, 2, 3, 1, 2, 3, 4, 5, 6, 7, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2669.json", "top1": [0, 1, 2, 3, 1, 2, 3, 4, 5, 6, 7, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/653.json", "top1": [0, 1, 2, 3, 1, 2, 3, 4, 5, 6, 7, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/811.json", "top1": [0, 1, 2, 3, 1, 2, 3, 4, 5, 6, 7, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/781.json", "top1": [0, 1, 2, 3, 1, 2, 3, 4, 5, 6, 7, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/886.json", "top1": [0, 1, 2, 3, 1, 2, 3, 4, 5, 6, 7, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/243.json", "top1": [0, 1, 2, 3, 1, 2, 3, 4, 5, 6, 7, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/1906.json", "top1": [0, 1, 2, 3, 1, 2, 3, 4, 5, 6, 7, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/710.json", "top1": [0, 1, 2, 3, 1, 2, 3, 4, 5, 6, 7, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/75.json", "top1": [0, 1, 2, 3, 1, 2, 3, 4, 5, 6, 7, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1672.json", "top1": [0, 1, 2, 3, 1, 2, 3, 4, 5, 6, 7, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/133.json", "top1": [0, 1, 2, 3, 1, 2, 3, 4, 5, 6, 7, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1660.json", "top1": [0, 1, 2, 3, 1, 2, 3, 4, 5, 6, 7, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/593.json", "top1": [0, 1, 2, 3, 1, 2, 3, 4, 5, 6, 7, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/1027.json", "top1": [0, 1, 2, 3, 1, 2, 3, 4, 5, 6, 7, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/precalculus/475.json", "top1": [0, 1, 2, 3, 1, 2, 3, 4, 5, 6, 7, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/geometry/501.json", "top1": [0, 1, 2, 3, 1, 2, 3, 4, 5, 6, 7, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/123.json", "top1": [0, 1, 2, 3, 1, 2, 3, 4, 5, 6, 7, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/30.json", "top1": [0, 1, 2, 3, 1, 2, 3, 4, 5, 6, 7, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/2006.json", "top1": [0, 1, 2, 3, 1, 2, 3, 4, 5, 6, 7, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/630.json", "top1": [0, 1, 2, 3, 1, 2, 3, 4, 5, 6, 7, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/231.json", "top1": [0, 1, 2, 3, 1, 2, 3, 4, 5, 6, 7, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/314.json", "top1": [0, 1, 2, 3, 1, 2, 3, 4, 5, 6, 7, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/671.json", "top1": [0, 1, 2, 3, 1, 2, 3, 4, 5, 6, 7, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/25219.json", "top1": [0, 1, 2, 3, 1, 2, 3, 4, 5, 6, 7, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/311.json", "top1": [0, 1, 2, 3, 1, 2, 3, 4, 5, 6, 7, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2638.json", "top1": [0, 1, 2, 3, 1, 2, 3, 4, 5, 6, 7, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1916.json", "top1": [0, 1, 2, 3, 1, 2, 3, 4, 5, 6, 7, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/geometry/806.json", "top1": [0, 1, 2, 3, 1, 2, 3, 4, 5, 6, 7, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/303.json", "top1": [0, 1, 2, 3, 1, 2, 3, 4, 5, 6, 7, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/872.json", "top1": [0, 1, 2, 3, 1, 2, 3, 4, 5, 6, 7, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/precalculus/1265.json", "top1": [0, 1, 2, 3, 1, 2, 3, 4, 5, 6, 7, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/270.json", "top1": [0, 1, 2, 3, 1, 2, 3, 4, 5, 6, 7, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/451.json", "top1": [0, 1, 2, 3, 1, 2, 3, 4, 5, 6, 7, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/number_theory/438.json", "top1": [0, 1, 2, 3, 1, 2, 3, 4, 5, 6, 7, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/1152.json", "top1": [0, 1, 2, 3, 1, 2, 3, 4, 5, 6, 7, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/234.json", "top1": [0, 1, 2, 3, 1, 2, 3, 4, 5, 6, 7, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/number_theory/548.json", "top1": [0, 1, 2, 3, 1, 2, 3, 4, 5, 6, 7, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/555.json", "top1": [0, 1, 2, 3, 1, 2, 3, 4, 5, 6, 7, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/934.json", "top1": [0, 1, 2, 3, 1, 2, 3, 4, 5, 6, 7, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/296.json", "top1": [0, 1, 2, 3, 1, 2, 3, 4, 5, 6, 7, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/1333.json", "top1": [0, 1, 2, 3, 1, 2, 3, 4, 5, 6, 7, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/algebra/2108.json", "top1": [0, 1, 2, 3, 1, 2, 3, 4, 5, 6, 7, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/478.json", "top1": [0, 1, 2, 3, 1, 2, 3, 4, 5, 6, 7, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/1943.json", "top1": [0, 1, 2, 3, 1, 2, 3, 4, 5, 6, 7, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/1174.json", "top1": [0, 1, 2, 3, 1, 2, 3, 4, 5, 6, 7, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/number_theory/421.json", "top1": [0, 1, 2, 3, 1, 2, 3, 4, 5, 6, 7, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/173.json", "top1": [0, 1, 2, 3, 1, 2, 3, 4, 5, 6, 7, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1492.json", "top1": [0, 1, 2, 3, 1, 2, 3, 4, 5, 6, 7, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/342.json", "top1": [0, 1, 2, 3, 1, 2, 3, 4, 5, 6, 7, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2751.json", "top1": [0, 1, 2, 3, 1, 2, 3, 4, 5, 6, 7, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/141.json", "top1": [0, 1, 2, 3, 1, 2, 3, 4, 5, 6, 7, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/656.json", "top1": [0, 1, 2, 3, 1, 2, 3, 4, 5, 6, 7, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1314.json", "top1": [0, 1, 2, 3, 1, 2, 3, 4, 5, 6, 7, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/313.json", "top1": [0, 1, 2, 3, 1, 2, 3, 4, 5, 6, 7, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/210.json", "top1": [0, 1, 2, 3, 1, 2, 3, 4, 5, 6, 7, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/algebra/23952.json", "top1": [0, 1, 2, 3, 1, 2, 3, 4, 5, 6, 7, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2375.json", "top1": [0, 1, 2, 3, 1, 2, 3, 4, 5, 6, 7, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/396.json", "top1": [0, 1, 2, 3, 1, 2, 3, 4, 5, 6, 7, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/2655.json", "top1": [0, 1, 2, 3, 1, 2, 3, 4, 5, 6, 7, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/1988.json", "top1": [0, 1, 2, 3, 1, 2, 3, 4, 5, 6, 7, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/721.json", "top1": [0, 1, 2, 3, 1, 2, 3, 4, 5, 6, 7, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/426.json", "top1": [0, 1, 2, 3, 1, 2, 3, 4, 5, 6, 7, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/292.json", "top1": [0, 1, 2, 3, 1, 2, 3, 4, 5, 6, 7, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/432.json", "top1": [0, 1, 2, 3, 1, 2, 3, 4, 5, 6, 7, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1740.json", "top1": [0, 1, 2, 3, 1, 2, 3, 4, 5, 6, 7, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/226.json", "top1": [0, 1, 2, 3, 1, 2, 3, 4, 5, 6, 7, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/36.json", "top1": [0, 1, 2, 3, 1, 2, 3, 4, 5, 6, 7, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/269.json", "top1": [0, 1, 2, 3, 1, 2, 3, 4, 5, 6, 7, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/1228.json", "top1": [0, 1, 2, 3, 1, 2, 3, 4, 5, 6, 7, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/131.json", "top1": [0, 1, 2, 3, 1, 2, 3, 4, 5, 6, 7, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/170.json", "top1": [0, 1, 2, 3, 1, 2, 3, 4, 5, 6, 7, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/867.json", "top1": [0, 1, 2, 3, 1, 2, 3, 4, 5, 6, 7, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/2491.json", "top1": [0, 1, 2, 3, 1, 2, 3, 4, 5, 6, 7, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/112.json", "top1": [0, 1, 2, 3, 1, 2, 3, 4, 5, 6, 7, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/653.json", "top1": [0, 1, 2, 3, 1, 2, 3, 4, 5, 6, 7, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1968.json", "top1": [0, 1, 2, 3, 1, 2, 3, 4, 5, 6, 7, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/808.json", "top1": [0, 1, 2, 3, 1, 2, 3, 4, 5, 6, 7, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1292.json", "top1": [0, 1, 2, 3, 1, 2, 3, 4, 5, 6, 7, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/344.json", "top1": [0, 1, 2, 3, 1, 2, 3, 4, 5, 6, 7, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/number_theory/61.json", "top1": [0, 1, 2, 3, 1, 2, 3, 4, 5, 6, 7, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/431.json", "top1": [0, 1, 2, 3, 1, 2, 3, 4, 5, 6, 7, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/1344.json", "top1": [0, 1, 2, 3, 1, 2, 3, 4, 5, 6, 7, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/531.json", "top1": [0, 1, 2, 3, 1, 2, 3, 4, 5, 6, 7, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/25244.json", "top1": [0, 1, 2, 3, 1, 2, 3, 4, 5, 6, 7, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/107.json", "top1": [0, 1, 2, 3, 1, 2, 3, 4, 5, 6, 7, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/989.json", "top1": [0, 1, 2, 3, 1, 2, 3, 4, 5, 6, 7, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/222.json", "top1": [0, 1, 2, 3, 1, 2, 3, 4, 5, 6, 7, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/237.json", "top1": [0, 1, 2, 3, 1, 2, 3, 4, 5, 6, 7, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/544.json", "top1": [0, 1, 2, 3, 1, 2, 3, 4, 5, 6, 7, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/34.json", "top1": [0, 1, 2, 3, 1, 2, 3, 4, 5, 6, 7, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/geometry/350.json", "top1": [0, 1, 2, 3, 1, 2, 3, 4, 5, 6, 7, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/97.json", "top1": [0, 1, 2, 3, 1, 2, 3, 4, 5, 6, 7, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/383.json", "top1": [0, 1, 2, 3, 1, 2, 3, 4, 5, 6, 7, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/1932.json", "top1": [0, 1, 2, 3, 1, 2, 3, 4, 5, 6, 7, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/1210.json", "top1": [0, 1, 2, 3, 1, 2, 3, 4, 5, 6, 7, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/450.json", "top1": [0, 1, 2, 3, 1, 2, 3, 4, 5, 6, 7, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/number_theory/223.json", "top1": [0, 1, 2, 3, 1, 2, 3, 4, 5, 6, 7, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/121.json", "top1": [0, 1, 2, 3, 1, 2, 3, 4, 5, 6, 7, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/1053.json", "top1": [0, 1, 2, 3, 1, 2, 3, 4, 5, 6, 7, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1682.json", "top1": [0, 1, 2, 3, 1, 2, 3, 4, 5, 6, 7, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/algebra/2389.json", "top1": [0, 1, 2, 3, 1, 2, 3, 4, 5, 6, 7, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1284.json", "top1": [0, 1, 2, 3, 1, 2, 3, 4, 5, 6, 7, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/193.json", "top1": [0, 1, 2, 3, 1, 2, 3, 4, 5, 6, 7, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/geometry/79.json", "top1": [0, 1, 2, 3, 1, 2, 3, 4, 5, 6, 7, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/precalculus/372.json", "top1": [0, 1, 2, 3, 1, 2, 3, 4, 5, 6, 7, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/50.json", "top1": [0, 1, 2, 3, 1, 2, 3, 4, 5, 6, 7, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/precalculus/765.json", "top1": [0, 1, 2, 3, 1, 2, 3, 4, 5, 6, 7, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/563.json", "top1": [0, 1, 2, 3, 1, 2, 3, 4, 5, 6, 7, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/87.json", "top1": [0, 1, 2, 3, 1, 2, 3, 4, 5, 6, 7, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/44.json", "top1": [0, 1, 2, 3, 1, 2, 3, 4, 5, 6, 7, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/number_theory/628.json", "top1": [0, 1, 2, 3, 1, 2, 3, 4, 5, 6, 7, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/24756.json", "top1": [0, 1, 2, 3, 1, 2, 3, 4, 5, 6, 7, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/738.json", "top1": [0, 1, 2, 3, 1, 2, 3, 4, 5, 6, 7, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/178.json", "top1": [0, 1, 2, 3, 1, 2, 3, 4, 5, 6, 7, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/2105.json", "top1": [0, 1, 2, 3, 1, 2, 3, 4, 5, 6, 7, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/2455.json", "top1": [0, 1, 2, 3, 1, 2, 3, 4, 5, 6, 7, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/710.json", "top1": [0, 1, 2, 3, 1, 2, 3, 4, 5, 6, 7, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/algebra/450.json", "top1": [0, 1, 2, 3, 1, 2, 3, 4, 5, 6, 7, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/precalculus/543.json", "top1": [0, 1, 2, 3, 1, 2, 3, 4, 5, 6, 7, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/geometry/598.json", "top1": [0, 1, 2, 3, 1, 2, 3, 4, 5, 6, 7, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/24077.json", "top1": [0, 1, 2, 3, 1, 2, 3, 4, 5, 6, 7, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/328.json", "top1": [0, 1, 2, 3, 1, 2, 3, 4, 5, 6, 7, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/164.json", "top1": [0, 1, 2, 3, 1, 2, 3, 4, 5, 6, 7, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/319.json", "top1": [0, 1, 2, 3, 1, 2, 3, 4, 5, 6, 7, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/precalculus/176.json", "top1": [0, 1, 2, 3, 1, 2, 3, 4, 5, 6, 7, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/858.json", "top1": [0, 1, 2, 3, 1, 2, 3, 4, 5, 6, 7, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/722.json", "top1": [0, 1, 2, 3, 1, 2, 3, 4, 5, 6, 7, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/820.json", "top1": [0, 1, 2, 3, 1, 2, 3, 4, 5, 6, 7, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/539.json", "top1": [0, 1, 2, 3, 1, 2, 3, 4, 5, 6, 7, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1915.json", "top1": [0, 1, 2, 3, 1, 2, 3, 4, 5, 6, 7, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/906.json", "top1": [0, 1, 2, 3, 1, 2, 3, 4, 5, 6, 7, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/241.json", "top1": [0, 1, 2, 3, 1, 2, 3, 4, 5, 6, 7, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/78.json", "top1": [0, 1, 2, 3, 1, 2, 3, 4, 5, 6, 7, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/1662.json", "top1": [0, 1, 2, 3, 1, 2, 3, 4, 5, 6, 7, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/294.json", "top1": [0, 1, 2, 3, 1, 2, 3, 4, 5, 6, 7, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1412.json", "top1": [0, 1, 2, 3, 1, 2, 3, 4, 5, 6, 7, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}]}, "all_val": [{"params": {"program": 27, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.5828}, "val": {"pass_at": [0.23943661971830985, 0.39436619718309857, 0.43661971830985913, 0.5211267605633803, 0.5492957746478874], "identity_acc": 0.38028169014084506, "rescue_at1": 0.07042253521126761, "harm_at1": 0.2112676056338028, "nonident_top1": 1.0}}, {"params": {"program": 26, "layer_path": [0, 1, 2, 1, 2, 3, 4, 5, 6, 7, 7, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.5393}, "val": {"pass_at": [0.323943661971831, 0.39436619718309857, 0.43661971830985913, 0.5211267605633803, 0.5492957746478874], "identity_acc": 0.38028169014084506, "rescue_at1": 0.08450704225352113, "harm_at1": 0.14084507042253522, "nonident_top1": 1.0}}, {"params": {"program": 57, "layer_path": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 18, 18, 19, 20, 21, 22, 23, 24, 24, 25, 26, 26, 27], "train_prior": 0.4876}, "val": {"pass_at": [0.2112676056338028, 0.323943661971831, 0.43661971830985913, 0.5211267605633803, 0.5492957746478874], "identity_acc": 0.38028169014084506, "rescue_at1": 0.0, "harm_at1": 0.16901408450704225, "nonident_top1": 1.0}}, {"params": {"program": 14, "layer_path": [0, 1, 2, 3, 1, 2, 3, 4, 5, 6, 7, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.4714}, "val": {"pass_at": [0.36619718309859156, 0.43661971830985913, 0.5211267605633803, 0.5211267605633803, 0.5492957746478874], "identity_acc": 0.38028169014084506, "rescue_at1": 0.056338028169014086, "harm_at1": 0.07042253521126761, "nonident_top1": 1.0}}, {"params": {"program": 47, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 25, 26, 27], "train_prior": 0.4714}, "val": {"pass_at": [0.38028169014084506, 0.4507042253521127, 0.5070422535211268, 0.5070422535211268, 0.5492957746478874], "identity_acc": 0.38028169014084506, "rescue_at1": 0.056338028169014086, "harm_at1": 0.056338028169014086, "nonident_top1": 1.0}}, {"params": {"program": 35, "layer_path": [0, 1, 2, 3, 4, 5, 2, 3, 4, 5, 6, 7, 8, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.4665}, "val": {"pass_at": [0.23943661971830985, 0.352112676056338, 0.4507042253521127, 0.4788732394366197, 0.5492957746478874], "identity_acc": 0.38028169014084506, "rescue_at1": 0.056338028169014086, "harm_at1": 0.19718309859154928, "nonident_top1": 1.0}}, {"params": {"program": 58, "layer_path": [0, 1, 2, 3, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 24, 25, 26, 27], "train_prior": 0.4664}, "val": {"pass_at": [0.09859154929577464, 0.2676056338028169, 0.4225352112676056, 0.4647887323943662, 0.5352112676056338], "identity_acc": 0.38028169014084506, "rescue_at1": 0.028169014084507043, "harm_at1": 0.30985915492957744, "nonident_top1": 1.0}}, {"params": {"program": 62, "layer_path": [0, 1, 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 24, 25, 25, 26, 27], "train_prior": 0.4632}, "val": {"pass_at": [0.2535211267605634, 0.38028169014084506, 0.4788732394366197, 0.4788732394366197, 0.5352112676056338], "identity_acc": 0.38028169014084506, "rescue_at1": 0.028169014084507043, "harm_at1": 0.15492957746478872, "nonident_top1": 1.0}}, {"params": {"program": 69, "layer_path": [0, 1, 2, 3, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 24, 26, 27], "train_prior": 0.4594}, "val": {"pass_at": [0.11267605633802817, 0.28169014084507044, 0.43661971830985913, 0.4788732394366197, 0.5633802816901409], "identity_acc": 0.38028169014084506, "rescue_at1": 0.056338028169014086, "harm_at1": 0.323943661971831, "nonident_top1": 1.0}}, {"params": {"program": 71, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 23, 24, 25, 26, 27], "train_prior": 0.4594}, "val": {"pass_at": [0.28169014084507044, 0.38028169014084506, 0.4647887323943662, 0.49295774647887325, 0.5492957746478874], "identity_acc": 0.38028169014084506, "rescue_at1": 0.056338028169014086, "harm_at1": 0.15492957746478872, "nonident_top1": 1.0}}, {"params": {"program": 41, "layer_path": [0, 1, 2, 3, 4, 5, 6, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.4576}, "val": {"pass_at": [0.3380281690140845, 0.39436619718309857, 0.49295774647887325, 0.5070422535211268, 0.5633802816901409], "identity_acc": 0.38028169014084506, "rescue_at1": 0.08450704225352113, "harm_at1": 0.1267605633802817, "nonident_top1": 1.0}}, {"params": {"program": 42, "layer_path": [0, 1, 1, 2, 3, 4, 5, 6, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.4576}, "val": {"pass_at": [0.352112676056338, 0.43661971830985913, 0.5352112676056338, 0.5492957746478874, 0.5915492957746479], "identity_acc": 0.38028169014084506, "rescue_at1": 0.07042253521126761, "harm_at1": 0.09859154929577464, "nonident_top1": 1.0}}, {"params": {"program": 34, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26], "train_prior": 0.4546}, "val": {"pass_at": [0.2535211267605634, 0.29577464788732394, 0.4225352112676056, 0.4507042253521127, 0.5352112676056338], "identity_acc": 0.38028169014084506, "rescue_at1": 0.04225352112676056, "harm_at1": 0.16901408450704225, "nonident_top1": 1.0}}, {"params": {"program": 65, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 23, 24, 25, 26, 27], "train_prior": 0.4422}, "val": {"pass_at": [0.2676056338028169, 0.38028169014084506, 0.4788732394366197, 0.49295774647887325, 0.5633802816901409], "identity_acc": 0.38028169014084506, "rescue_at1": 0.04225352112676056, "harm_at1": 0.15492957746478872, "nonident_top1": 1.0}}, {"params": {"program": 100, "layer_path": [0, 1, 2, 3, 4, 5, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "train_prior": 0.4205}, "val": {"pass_at": [0.30985915492957744, 0.38028169014084506, 0.4647887323943662, 0.4788732394366197, 0.5352112676056338], "identity_acc": 0.38028169014084506, "rescue_at1": 0.07042253521126761, "harm_at1": 0.14084507042253522, "nonident_top1": 1.0}}, {"params": {"program": 126, "layer_path": [0, 1, 2, 3, 4, 5, 2, 3, 4, 5, 6, 7, 8, 9, 10, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "train_prior": 0.4205}, "val": {"pass_at": [0.323943661971831, 0.4084507042253521, 0.5211267605633803, 0.5211267605633803, 0.5774647887323944], "identity_acc": 0.38028169014084506, "rescue_at1": 0.08450704225352113, "harm_at1": 0.14084507042253522, "nonident_top1": 1.0}}, {"params": {"program": 73, "layer_path": [0, 1, 2, 3, 4, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 25, 26, 27], "train_prior": 0.4156}, "val": {"pass_at": [0.28169014084507044, 0.4225352112676056, 0.5211267605633803, 0.5211267605633803, 0.5633802816901409], "identity_acc": 0.38028169014084506, "rescue_at1": 0.07042253521126761, "harm_at1": 0.16901408450704225, "nonident_top1": 1.0}}, {"params": {"program": 76, "layer_path": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 13, 14, 15, 16, 17, 18, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 27], "train_prior": 0.4156}, "val": {"pass_at": [0.18309859154929578, 0.352112676056338, 0.49295774647887325, 0.5070422535211268, 0.5633802816901409], "identity_acc": 0.38028169014084506, "rescue_at1": 0.08450704225352113, "harm_at1": 0.28169014084507044, "nonident_top1": 1.0}}, {"params": {"program": 15, "layer_path": [0, 1, 2, 3, 1, 2, 3, 4, 5, 6, 7, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.4096}, "val": {"pass_at": [0.38028169014084506, 0.4647887323943662, 0.5070422535211268, 0.5211267605633803, 0.5633802816901409], "identity_acc": 0.38028169014084506, "rescue_at1": 0.08450704225352113, "harm_at1": 0.08450704225352113, "nonident_top1": 1.0}}, {"params": {"program": 146, "layer_path": [0, 1, 2, 2, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 25, 26, 27], "train_prior": 0.4091}, "val": {"pass_at": [0.08450704225352113, 0.28169014084507044, 0.4225352112676056, 0.4647887323943662, 0.5492957746478874], "identity_acc": 0.38028169014084506, "rescue_at1": 0.028169014084507043, "harm_at1": 0.323943661971831, "nonident_top1": 1.0}}]}}}
polar_split/fixed_program/llama32_3b/polar_default/seed7/diff2/fold0.json ADDED
@@ -0,0 +1 @@
 
 
1
+ {"difficulty": 2, "menu_size": 278, "prompt_style": "raw", "samples": "/app/data/router_data/theirsplit_cv/l3b_lpselraws7_diff2_f0.json", "n": {"train": 843, "val": 169, "test": 337}, "methods": {"fixed": {"winner": {"program": 23, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.4595}, "val": {"pass_at": [0.25443786982248523, 0.2781065088757396, 0.33727810650887574, 0.3609467455621302, 0.39644970414201186], "identity_acc": 0.27218934911242604, "rescue_at1": 0.05917159763313609, "harm_at1": 0.07692307692307693, "nonident_top1": 1.0}, "test": {"pass_at": [0.2166172106824926, 0.29376854599406527, 0.3353115727002967, 0.3857566765578635, 0.4065281899109792], "identity_acc": 0.26706231454005935, "rescue_at1": 0.06231454005934718, "harm_at1": 0.11275964391691394, "nonident_top1": 1.0, "mcnemar_p": 0.036343179957053884, "n_distinct_top1": 1, "top_nonidentity": [{"layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "n": 337}], "per_question": [{"query_id": "MATH/train/counting_and_probability/101.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1173.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1525.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1085.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/136.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1563.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1396.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/1078.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/384.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/291.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/1128.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1990.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1843.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/933.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/1041.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/1187.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/33.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/1136.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/1989.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/955.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/771.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/69.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/574.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/1205.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/precalculus/598.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1170.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/663.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/413.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/467.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/381.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1176.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/671.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/1143.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/24453.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/276.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2139.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/1966.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/475.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/633.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/45.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/720.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1689.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/43.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/25200.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2083.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/799.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/121.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1871.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/972.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/387.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/644.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1242.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/592.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/377.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1397.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/979.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/2162.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/282.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/516.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/347.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/32.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1158.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/294.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/503.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/74.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/467.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/453.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/855.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2443.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1366.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/precalculus/290.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/649.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1078.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2795.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/179.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/geometry/985.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2646.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/number_theory/82.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/geometry/203.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1563.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2580.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/380.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/1983.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/542.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1761.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/precalculus/670.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/700.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/4.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/number_theory/741.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/180.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/549.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/408.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/2050.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/599.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/386.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/1516.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/1881.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/742.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/834.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/97.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1389.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/397.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/223.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/440.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/number_theory/485.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/751.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/229.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/geometry/1145.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2336.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1016.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/453.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/25115.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/algebra/1496.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/401.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/geometry/25086.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/743.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/221.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/1127.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/52.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/501.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/570.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/154.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1313.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/31.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/286.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/268.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2679.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/736.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/760.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/1478.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1435.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/328.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1874.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1395.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/637.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/799.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/407.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/geometry/1054.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/precalculus/619.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1127.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/geometry/548.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/86.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/57.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/24842.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/191.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2540.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/239.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1045.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/1030.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/534.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/822.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/798.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/843.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/87.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/970.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/243.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1449.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/60.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/744.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/number_theory/578.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/precalculus/171.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1338.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/9.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/1077.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/523.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/174.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/16.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/number_theory/358.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/652.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/507.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/332.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/901.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/609.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/316.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/112.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/68.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/45.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/344.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/2062.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/1040.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/630.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/340.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/338.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/191.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/214.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/96.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/169.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/735.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2118.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/787.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/1418.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1662.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/776.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1881.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/804.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/508.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/319.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1685.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/1100.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/899.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/533.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/222.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/precalculus/120.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/313.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/476.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/1574.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/geometry/778.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/geometry/847.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/370.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/548.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/geometry/175.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/1061.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/116.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/156.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1161.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/677.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/precalculus/942.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/61.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/724.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1062.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/81.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/587.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1938.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/799.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/1491.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/440.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/2070.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/487.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/593.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/1047.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1256.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/692.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/91.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/1224.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/830.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/precalculus/480.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/558.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/670.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/87.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/1126.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/573.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/210.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1155.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/423.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/1051.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/665.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/1383.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/947.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/geometry/425.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1313.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/376.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/563.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/782.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/246.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/1451.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/376.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/16.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/490.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/precalculus/1246.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/1979.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/554.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/989.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/426.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/594.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/number_theory/797.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/972.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/number_theory/484.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/487.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/313.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1092.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/1280.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/precalculus/264.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2134.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/349.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/376.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/728.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/784.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1985.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1293.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1573.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/507.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/528.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/1266.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/757.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/1042.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/857.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/407.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1825.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/627.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/number_theory/399.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/174.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/648.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/313.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2571.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1383.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1621.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/number_theory/119.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/950.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1881.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/60.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/number_theory/799.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1394.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/439.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/precalculus/391.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/180.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1456.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1903.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/number_theory/1259.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/290.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/814.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/120.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/899.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/number_theory/256.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/geometry/1019.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/577.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/128.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/546.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2291.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/97.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/2031.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/2446.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/339.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/685.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/840.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/231.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/317.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1603.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/2072.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/355.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1738.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2450.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/392.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/522.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/130.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/20.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/915.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/236.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}]}, "all_val": [{"params": {"program": 40, "layer_path": [0, 1, 2, 3, 4, 5, 2, 3, 4, 5, 6, 7, 8, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.5508}, "val": {"pass_at": [0.10650887573964497, 0.21893491124260356, 0.26627218934911245, 0.30177514792899407, 0.39644970414201186], "identity_acc": 0.27218934911242604, "rescue_at1": 0.029585798816568046, "harm_at1": 0.1952662721893491, "nonident_top1": 1.0}}, {"params": {"program": 31, "layer_path": [0, 1, 2, 1, 2, 3, 4, 5, 6, 7, 7, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.539}, "val": {"pass_at": [0.16568047337278108, 0.21893491124260356, 0.26627218934911245, 0.30177514792899407, 0.39644970414201186], "identity_acc": 0.27218934911242604, "rescue_at1": 0.0650887573964497, "harm_at1": 0.17159763313609466, "nonident_top1": 1.0}}, {"params": {"program": 30, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.4936}, "val": {"pass_at": [0.14201183431952663, 0.1952662721893491, 0.26627218934911245, 0.30177514792899407, 0.39644970414201186], "identity_acc": 0.27218934911242604, "rescue_at1": 0.05325443786982249, "harm_at1": 0.1834319526627219, "nonident_top1": 1.0}}, {"params": {"program": 67, "layer_path": [0, 1, 2, 3, 4, 5, 2, 3, 4, 5, 6, 7, 8, 9, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 22, 23, 24, 25, 26, 26, 27], "train_prior": 0.4827}, "val": {"pass_at": [0.10650887573964497, 0.15384615384615385, 0.2603550295857988, 0.30177514792899407, 0.39644970414201186], "identity_acc": 0.27218934911242604, "rescue_at1": 0.047337278106508875, "harm_at1": 0.21301775147928995, "nonident_top1": 1.0}}, {"params": {"program": 36, "layer_path": [0, 1, 2, 3, 4, 5, 6, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.4622}, "val": {"pass_at": [0.21301775147928995, 0.2603550295857988, 0.33727810650887574, 0.3668639053254438, 0.39644970414201186], "identity_acc": 0.27218934911242604, "rescue_at1": 0.09467455621301775, "harm_at1": 0.15384615384615385, "nonident_top1": 1.0}}, {"params": {"program": 37, "layer_path": [0, 1, 1, 2, 3, 4, 5, 6, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.4622}, "val": {"pass_at": [0.1834319526627219, 0.23668639053254437, 0.3076923076923077, 0.33727810650887574, 0.3727810650887574], "identity_acc": 0.27218934911242604, "rescue_at1": 0.07100591715976332, "harm_at1": 0.15976331360946747, "nonident_top1": 1.0}}, {"params": {"program": 23, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.4595}, "val": {"pass_at": [0.25443786982248523, 0.2781065088757396, 0.33727810650887574, 0.3609467455621302, 0.39644970414201186], "identity_acc": 0.27218934911242604, "rescue_at1": 0.05917159763313609, "harm_at1": 0.07692307692307693, "nonident_top1": 1.0}}, {"params": {"program": 86, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 23, 24, 25, 26, 27], "train_prior": 0.456}, "val": {"pass_at": [0.1834319526627219, 0.23076923076923078, 0.28994082840236685, 0.3254437869822485, 0.35502958579881655], "identity_acc": 0.27218934911242604, "rescue_at1": 0.047337278106508875, "harm_at1": 0.13609467455621302, "nonident_top1": 1.0}}, {"params": {"program": 45, "layer_path": [0, 1, 2, 3, 4, 5, 2, 3, 4, 5, 6, 7, 8, 9, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 22, 23, 24, 25, 26, 27], "train_prior": 0.4531}, "val": {"pass_at": [0.13609467455621302, 0.17159763313609466, 0.26627218934911245, 0.30177514792899407, 0.3076923076923077], "identity_acc": 0.27218934911242604, "rescue_at1": 0.04142011834319527, "harm_at1": 0.17751479289940827, "nonident_top1": 1.0}}, {"params": {"program": 79, "layer_path": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 13, 14, 15, 16, 17, 18, 19, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 27], "train_prior": 0.4413}, "val": {"pass_at": [0.07692307692307693, 0.14792899408284024, 0.24260355029585798, 0.2781065088757396, 0.3136094674556213], "identity_acc": 0.27218934911242604, "rescue_at1": 0.01775147928994083, "harm_at1": 0.21301775147928995, "nonident_top1": 1.0}}, {"params": {"program": 87, "layer_path": [0, 1, 2, 3, 4, 5, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "train_prior": 0.4362}, "val": {"pass_at": [0.14201183431952663, 0.1834319526627219, 0.27218934911242604, 0.2958579881656805, 0.33136094674556216], "identity_acc": 0.27218934911242604, "rescue_at1": 0.05325443786982249, "harm_at1": 0.1834319526627219, "nonident_top1": 1.0}}, {"params": {"program": 104, "layer_path": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 13, 14, 15, 16, 17, 18, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 27], "train_prior": 0.4301}, "val": {"pass_at": [0.10650887573964497, 0.17751479289940827, 0.2603550295857988, 0.2958579881656805, 0.33136094674556216], "identity_acc": 0.27218934911242604, "rescue_at1": 0.04142011834319527, "harm_at1": 0.20710059171597633, "nonident_top1": 1.0}}, {"params": {"program": 46, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 23, 24, 25, 26, 27], "train_prior": 0.4229}, "val": {"pass_at": [0.21893491124260356, 0.26627218934911245, 0.3431952662721893, 0.3609467455621302, 0.39644970414201186], "identity_acc": 0.27218934911242604, "rescue_at1": 0.05325443786982249, "harm_at1": 0.10650887573964497, "nonident_top1": 1.0}}, {"params": {"program": 114, "layer_path": [0, 1, 1, 2, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.4227}, "val": {"pass_at": [0.08875739644970414, 0.17159763313609466, 0.2603550295857988, 0.3076923076923077, 0.3431952662721893], "identity_acc": 0.27218934911242604, "rescue_at1": 0.04142011834319527, "harm_at1": 0.22485207100591717, "nonident_top1": 1.0}}, {"params": {"program": 19, "layer_path": [0, 1, 2, 3, 4, 5, 2, 3, 4, 5, 6, 7, 8, 9, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26], "train_prior": 0.4163}, "val": {"pass_at": [0.14201183431952663, 0.17751479289940827, 0.26627218934911245, 0.28994082840236685, 0.31952662721893493], "identity_acc": 0.27218934911242604, "rescue_at1": 0.047337278106508875, "harm_at1": 0.17751479289940827, "nonident_top1": 1.0}}, {"params": {"program": 34, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 16, 17, 18, 19, 19, 20, 21, 22, 23, 24, 23, 24, 25, 26, 27], "train_prior": 0.4104}, "val": {"pass_at": [0.11834319526627218, 0.20710059171597633, 0.28994082840236685, 0.31952662721893493, 0.35502958579881655], "identity_acc": 0.27218934911242604, "rescue_at1": 0.047337278106508875, "harm_at1": 0.20118343195266272, "nonident_top1": 1.0}}, {"params": {"program": 82, "layer_path": [0, 1, 2, 3, 4, 5, 3, 4, 5, 6, 7, 8, 9, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26], "train_prior": 0.394}, "val": {"pass_at": [0.1301775147928994, 0.17751479289940827, 0.26627218934911245, 0.30177514792899407, 0.33136094674556216], "identity_acc": 0.27218934911242604, "rescue_at1": 0.05325443786982249, "harm_at1": 0.1952662721893491, "nonident_top1": 1.0}}, {"params": {"program": 98, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 20, 21, 22, 23, 23, 24, 25, 26, 27], "train_prior": 0.3927}, "val": {"pass_at": [0.10650887573964497, 0.17159763313609466, 0.26627218934911245, 0.3076923076923077, 0.3431952662721893], "identity_acc": 0.27218934911242604, "rescue_at1": 0.04142011834319527, "harm_at1": 0.20710059171597633, "nonident_top1": 1.0}}, {"params": {"program": 138, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 23, 24, 25, 26, 27], "train_prior": 0.3907}, "val": {"pass_at": [0.20710059171597633, 0.24260355029585798, 0.2958579881656805, 0.3254437869822485, 0.3609467455621302], "identity_acc": 0.27218934911242604, "rescue_at1": 0.047337278106508875, "harm_at1": 0.11242603550295859, "nonident_top1": 1.0}}, {"params": {"program": 75, "layer_path": [0, 1, 2, 2, 4, 5, 6, 7, 8, 9, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.3881}, "val": {"pass_at": [0.11834319526627218, 0.17159763313609466, 0.2603550295857988, 0.3076923076923077, 0.33727810650887574], "identity_acc": 0.27218934911242604, "rescue_at1": 0.03550295857988166, "harm_at1": 0.1893491124260355, "nonident_top1": 1.0}}]}}}
polar_split/fixed_program/llama32_3b/polar_default/seed7/diff2/fold1.json ADDED
@@ -0,0 +1 @@
 
 
1
+ {"difficulty": 2, "menu_size": 270, "prompt_style": "raw", "samples": "/app/data/router_data/theirsplit_cv/l3b_lpselraws7_diff2_f1.json", "n": {"train": 843, "val": 169, "test": 337}, "methods": {"fixed": {"winner": {"program": 23, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.4641}, "val": {"pass_at": [0.23668639053254437, 0.3254437869822485, 0.3727810650887574, 0.41420118343195267, 0.42011834319526625], "identity_acc": 0.26627218934911245, "rescue_at1": 0.0650887573964497, "harm_at1": 0.09467455621301775, "nonident_top1": 1.0}, "test": {"pass_at": [0.2551928783382789, 0.32047477744807124, 0.36795252225519287, 0.39762611275964393, 0.40059347181008903], "identity_acc": 0.3086053412462908, "rescue_at1": 0.06231454005934718, "harm_at1": 0.11572700296735905, "nonident_top1": 1.0, "mcnemar_p": 0.027340133868077935, "n_distinct_top1": 1, "top_nonidentity": [{"layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "n": 337}], "per_question": [{"query_id": "MATH/train/prealgebra/921.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/1141.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/287.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/538.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/281.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/494.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/732.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2354.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1596.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/609.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1402.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/268.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/24403.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/959.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1159.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/precalculus/888.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/522.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/2575.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/773.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/225.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/1264.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2697.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1237.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1531.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/geometry/112.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/813.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/2198.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1763.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2454.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/number_theory/465.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/geometry/230.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1346.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/1105.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2124.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/2431.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1942.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/562.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1974.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/1277.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1943.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2802.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/642.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/27.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/precalculus/385.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/52.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/715.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/655.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/383.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/785.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/geometry/378.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/1062.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2811.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2636.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/24621.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1259.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/944.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/geometry/833.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1751.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/672.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/787.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1031.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/1780.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/539.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/1561.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/90.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/906.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/368.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/precalculus/1269.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/700.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1963.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/787.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/891.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1989.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1156.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2545.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1027.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/802.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/19.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/geometry/820.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1340.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/1971.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/geometry/831.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1922.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/547.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/719.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/350.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/geometry/536.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2684.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/240.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/517.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/952.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/number_theory/491.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1311.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1872.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1478.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/791.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/424.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/580.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/755.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2776.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/algebra/1559.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/1308.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/28.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/794.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/563.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/869.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/1766.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/186.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/algebra/24139.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/226.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/1162.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1927.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/1410.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1747.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/278.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/529.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/208.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1307.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/820.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/249.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/819.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/827.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/721.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/93.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2132.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/549.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/819.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1690.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1916.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/2478.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/524.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/1671.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1010.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/31.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/142.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/385.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/828.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/269.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/number_theory/906.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/465.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1481.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1048.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/219.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1699.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/294.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/147.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/1140.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1885.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/823.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/60.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/121.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1293.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/707.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/389.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/number_theory/527.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2764.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/463.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/263.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/949.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/361.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2348.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/373.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/144.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/345.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/number_theory/550.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1482.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/525.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1756.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/742.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1681.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/24629.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2250.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/128.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/1065.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2158.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/170.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/540.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/precalculus/853.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/875.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/52.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/211.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/363.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/number_theory/724.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/precalculus/104.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/54.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/92.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/565.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/631.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/767.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/2667.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2128.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/604.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/784.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/672.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/150.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/373.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/49.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1744.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/995.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/844.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/number_theory/635.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/number_theory/1007.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/number_theory/401.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/algebra/1651.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/568.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/algebra/606.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/20.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/683.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/1839.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1721.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/518.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/1766.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/precalculus/578.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1721.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/2069.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1089.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/774.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2034.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1174.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/precalculus/9.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1540.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/976.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/531.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/541.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1718.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/1939.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/746.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/218.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/geometry/987.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/743.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/457.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1921.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/517.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/precalculus/813.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/2083.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1060.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/1015.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1196.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1538.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/geometry/286.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/1665.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/geometry/133.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/815.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/1826.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/647.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/275.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/number_theory/176.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/1113.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/24503.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/827.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/precalculus/1075.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/120.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/943.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/716.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2312.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1138.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/194.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/405.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/315.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/25070.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/precalculus/795.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/number_theory/334.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/480.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/374.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/262.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/179.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/909.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/661.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/11.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/730.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/765.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/1453.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/75.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/precalculus/1116.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/118.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/1251.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/778.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/202.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/696.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/484.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/1584.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/418.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/680.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/precalculus/273.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/522.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/number_theory/197.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/number_theory/851.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/precalculus/231.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/668.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/precalculus/928.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1173.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/178.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/282.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/1381.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/700.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/315.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/655.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/738.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/299.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/343.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/516.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/885.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/2775.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/precalculus/635.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2205.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/640.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/2343.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/800.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/386.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/geometry/821.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1847.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/994.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1653.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2500.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/954.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/220.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1072.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/143.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/precalculus/134.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/209.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/52.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1653.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/2645.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/178.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/1094.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/407.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/120.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/6.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1956.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/1085.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/397.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/344.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/algebra/29.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/337.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/79.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/817.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/125.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}]}, "all_val": [{"params": {"program": 34, "layer_path": [0, 1, 2, 3, 4, 5, 2, 3, 4, 5, 6, 7, 8, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.5962}, "val": {"pass_at": [0.14792899408284024, 0.23668639053254437, 0.3136094674556213, 0.41420118343195267, 0.42011834319526625], "identity_acc": 0.26627218934911245, "rescue_at1": 0.0650887573964497, "harm_at1": 0.1834319526627219, "nonident_top1": 1.0}}, {"params": {"program": 30, "layer_path": [0, 1, 2, 1, 2, 3, 4, 5, 6, 7, 7, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.5559}, "val": {"pass_at": [0.13609467455621302, 0.23668639053254437, 0.3136094674556213, 0.41420118343195267, 0.42011834319526625], "identity_acc": 0.26627218934911245, "rescue_at1": 0.047337278106508875, "harm_at1": 0.17751479289940827, "nonident_top1": 1.0}}, {"params": {"program": 27, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.5208}, "val": {"pass_at": [0.17751479289940827, 0.2603550295857988, 0.3136094674556213, 0.41420118343195267, 0.42011834319526625], "identity_acc": 0.26627218934911245, "rescue_at1": 0.05325443786982249, "harm_at1": 0.14201183431952663, "nonident_top1": 1.0}}, {"params": {"program": 23, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.4641}, "val": {"pass_at": [0.23668639053254437, 0.3254437869822485, 0.3727810650887574, 0.41420118343195267, 0.42011834319526625], "identity_acc": 0.26627218934911245, "rescue_at1": 0.0650887573964497, "harm_at1": 0.09467455621301775, "nonident_top1": 1.0}}, {"params": {"program": 108, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 12, 13, 14, 15, 16, 13, 14, 15, 16, 18, 19, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.4456}, "val": {"pass_at": [0.07692307692307693, 0.17751479289940827, 0.2603550295857988, 0.31952662721893493, 0.42011834319526625], "identity_acc": 0.26627218934911245, "rescue_at1": 0.03550295857988166, "harm_at1": 0.22485207100591717, "nonident_top1": 1.0}}, {"params": {"program": 73, "layer_path": [0, 1, 2, 3, 4, 5, 2, 3, 4, 5, 6, 6, 7, 8, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.4409}, "val": {"pass_at": [0.14201183431952663, 0.1893491124260355, 0.26627218934911245, 0.3254437869822485, 0.42011834319526625], "identity_acc": 0.26627218934911245, "rescue_at1": 0.047337278106508875, "harm_at1": 0.17159763313609466, "nonident_top1": 1.0}}, {"params": {"program": 137, "layer_path": [0, 1, 1, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 19, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "train_prior": 0.4389}, "val": {"pass_at": [0.14201183431952663, 0.25443786982248523, 0.3254437869822485, 0.38461538461538464, 0.44970414201183434], "identity_acc": 0.26627218934911245, "rescue_at1": 0.05325443786982249, "harm_at1": 0.17751479289940827, "nonident_top1": 1.0}}, {"params": {"program": 38, "layer_path": [0, 1, 1, 2, 3, 4, 5, 6, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.438}, "val": {"pass_at": [0.17159763313609466, 0.26627218934911245, 0.31952662721893493, 0.3668639053254438, 0.4260355029585799], "identity_acc": 0.26627218934911245, "rescue_at1": 0.0650887573964497, "harm_at1": 0.15976331360946747, "nonident_top1": 1.0}}, {"params": {"program": 87, "layer_path": [0, 1, 2, 3, 4, 5, 2, 3, 4, 5, 6, 7, 8, 9, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 22, 23, 24, 25, 26, 26, 27], "train_prior": 0.4357}, "val": {"pass_at": [0.14201183431952663, 0.23076923076923078, 0.28402366863905326, 0.33727810650887574, 0.4319526627218935], "identity_acc": 0.26627218934911245, "rescue_at1": 0.0650887573964497, "harm_at1": 0.1893491124260355, "nonident_top1": 1.0}}, {"params": {"program": 98, "layer_path": [0, 1, 2, 3, 4, 5, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "train_prior": 0.4296}, "val": {"pass_at": [0.1242603550295858, 0.21301775147928995, 0.28994082840236685, 0.33136094674556216, 0.41420118343195267], "identity_acc": 0.26627218934911245, "rescue_at1": 0.023668639053254437, "harm_at1": 0.16568047337278108, "nonident_top1": 1.0}}, {"params": {"program": 79, "layer_path": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 13, 14, 15, 16, 17, 18, 19, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 27], "train_prior": 0.4239}, "val": {"pass_at": [0.14201183431952663, 0.2485207100591716, 0.3076923076923077, 0.3609467455621302, 0.44970414201183434], "identity_acc": 0.26627218934911245, "rescue_at1": 0.04142011834319527, "harm_at1": 0.16568047337278108, "nonident_top1": 1.0}}, {"params": {"program": 47, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 23, 24, 25, 26, 27], "train_prior": 0.4191}, "val": {"pass_at": [0.17751479289940827, 0.26627218934911245, 0.3254437869822485, 0.3727810650887574, 0.44970414201183434], "identity_acc": 0.26627218934911245, "rescue_at1": 0.04142011834319527, "harm_at1": 0.1301775147928994, "nonident_top1": 1.0}}, {"params": {"program": 42, "layer_path": [0, 1, 2, 3, 4, 5, 6, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.4171}, "val": {"pass_at": [0.1301775147928994, 0.22485207100591717, 0.2781065088757396, 0.33136094674556216, 0.42011834319526625], "identity_acc": 0.26627218934911245, "rescue_at1": 0.029585798816568046, "harm_at1": 0.16568047337278108, "nonident_top1": 1.0}}, {"params": {"program": 104, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 20, 21, 22, 23, 23, 24, 25, 26, 27], "train_prior": 0.4101}, "val": {"pass_at": [0.11834319526627218, 0.21893491124260356, 0.28994082840236685, 0.34911242603550297, 0.4319526627218935], "identity_acc": 0.26627218934911245, "rescue_at1": 0.023668639053254437, "harm_at1": 0.17159763313609466, "nonident_top1": 1.0}}, {"params": {"program": 17, "layer_path": [0, 1, 2, 3, 4, 5, 2, 3, 4, 5, 6, 7, 8, 9, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26], "train_prior": 0.4089}, "val": {"pass_at": [0.1301775147928994, 0.20118343195266272, 0.2781065088757396, 0.33136094674556216, 0.4260355029585799], "identity_acc": 0.26627218934911245, "rescue_at1": 0.04142011834319527, "harm_at1": 0.17751479289940827, "nonident_top1": 1.0}}, {"params": {"program": 160, "layer_path": [0, 1, 2, 2, 3, 4, 5, 6, 7, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 24, 25, 26, 27], "train_prior": 0.4014}, "val": {"pass_at": [0.15976331360946747, 0.2603550295857988, 0.3136094674556213, 0.3609467455621302, 0.4378698224852071], "identity_acc": 0.26627218934911245, "rescue_at1": 0.047337278106508875, "harm_at1": 0.15384615384615385, "nonident_top1": 1.0}}, {"params": {"program": 161, "layer_path": [0, 1, 2, 2, 3, 4, 5, 6, 7, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.4014}, "val": {"pass_at": [0.20118343195266272, 0.28994082840236685, 0.3254437869822485, 0.3668639053254438, 0.4437869822485207], "identity_acc": 0.26627218934911245, "rescue_at1": 0.047337278106508875, "harm_at1": 0.11242603550295859, "nonident_top1": 1.0}}, {"params": {"program": 110, "layer_path": [0, 1, 2, 3, 4, 5, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 25, 26, 27], "train_prior": 0.4011}, "val": {"pass_at": [0.04142011834319527, 0.17159763313609466, 0.2485207100591716, 0.31952662721893493, 0.42011834319526625], "identity_acc": 0.26627218934911245, "rescue_at1": 0.01775147928994083, "harm_at1": 0.24260355029585798, "nonident_top1": 1.0}}, {"params": {"program": 35, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 16, 17, 18, 19, 19, 20, 21, 22, 23, 24, 23, 24, 25, 26, 27], "train_prior": 0.4004}, "val": {"pass_at": [0.15976331360946747, 0.26627218934911245, 0.33136094674556216, 0.378698224852071, 0.46153846153846156], "identity_acc": 0.26627218934911245, "rescue_at1": 0.04142011834319527, "harm_at1": 0.14792899408284024, "nonident_top1": 1.0}}, {"params": {"program": 59, "layer_path": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 22, 23, 24, 25, 26, 27], "train_prior": 0.3852}, "val": {"pass_at": [0.1834319526627219, 0.2781065088757396, 0.3136094674556213, 0.3668639053254438, 0.44970414201183434], "identity_acc": 0.26627218934911245, "rescue_at1": 0.047337278106508875, "harm_at1": 0.1301775147928994, "nonident_top1": 1.0}}]}}}
polar_split/fixed_program/llama32_3b/polar_default/seed7/diff2/fold2.json ADDED
@@ -0,0 +1 @@
 
 
1
+ {"difficulty": 2, "menu_size": 261, "prompt_style": "raw", "samples": "/app/data/router_data/theirsplit_cv/l3b_lpselraws7_diff2_f2.json", "n": {"train": 842, "val": 169, "test": 338}, "methods": {"fixed": {"winner": {"program": 24, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.4378}, "val": {"pass_at": [0.23668639053254437, 0.3076923076923077, 0.3609467455621302, 0.40236686390532544, 0.4319526627218935], "identity_acc": 0.26627218934911245, "rescue_at1": 0.0650887573964497, "harm_at1": 0.09467455621301775, "nonident_top1": 1.0}, "test": {"pass_at": [0.2485207100591716, 0.3047337278106509, 0.34023668639053256, 0.3727810650887574, 0.40236686390532544], "identity_acc": 0.28106508875739644, "rescue_at1": 0.05917159763313609, "harm_at1": 0.09171597633136094, "nonident_top1": 1.0, "mcnemar_p": 0.16077960181198847, "n_distinct_top1": 1, "top_nonidentity": [{"layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "n": 338}], "per_question": [{"query_id": "MATH/train/algebra/1074.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2044.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/518.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2634.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/730.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/427.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2175.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/1598.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/396.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/272.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/233.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1124.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2464.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/153.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/127.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/number_theory/164.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/1835.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/1219.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1537.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/18.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/1244.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/378.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/948.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/385.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/608.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/490.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1862.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/983.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1230.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/127.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/762.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/314.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/693.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/417.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/267.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1120.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/716.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/1254.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1817.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/168.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/1958.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/782.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/672.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/706.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/geometry/649.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/706.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/431.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/2106.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/448.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/366.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/1683.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1310.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/1266.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/40.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/1280.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/821.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/397.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/precalculus/220.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/179.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/1352.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1566.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/number_theory/189.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/420.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/1113.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/25337.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/982.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/966.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/491.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1298.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/25257.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/1960.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/2041.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/646.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/838.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/44.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/556.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/681.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/2012.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/1063.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/653.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/65.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/638.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/283.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/589.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1933.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/geometry/166.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/981.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1344.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1460.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1927.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/352.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/736.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/25473.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/142.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/precalculus/240.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/534.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/253.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1771.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/888.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/2137.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2123.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/197.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/number_theory/776.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/precalculus/198.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/2025.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/433.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/301.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1833.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1383.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/297.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/429.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/geometry/165.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/1914.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/number_theory/52.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/32.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/186.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2279.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/826.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/567.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/705.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/922.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/997.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/365.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/2164.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/754.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/291.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/130.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1440.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/1023.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/1230.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/62.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/317.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/679.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1711.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/23905.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1469.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/401.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/722.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/607.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/number_theory/44.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/766.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/464.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/377.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/159.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/1008.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/39.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/1268.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/491.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/235.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/562.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/precalculus/1197.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/669.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/325.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1171.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/277.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/18.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/369.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/1867.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/444.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/number_theory/579.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/285.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/683.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/319.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/geometry/829.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/721.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/2639.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/273.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/246.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/131.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/1577.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1777.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/305.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/678.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/702.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/603.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/63.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/1285.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1371.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/1254.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/437.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/geometry/752.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/634.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/470.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/312.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/geometry/117.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/450.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2247.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1127.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/precalculus/339.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/algebra/980.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/364.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1051.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/number_theory/307.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/115.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/741.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1309.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/2116.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/2794.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1152.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1299.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/605.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/202.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/number_theory/662.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/2044.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/geometry/184.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/number_theory/712.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/905.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/76.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/678.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/410.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/353.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1043.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/214.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/524.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/512.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/406.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1583.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/691.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/algebra/1276.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/92.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/number_theory/78.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/90.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/number_theory/230.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/901.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/1079.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1094.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/273.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1904.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/400.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/175.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/1309.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/precalculus/230.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/2181.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1393.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/geometry/400.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/916.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/930.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1394.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/193.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/38.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/precalculus/70.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1333.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1919.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/642.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/282.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/59.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/precalculus/918.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/precalculus/1268.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/precalculus/64.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/1713.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1674.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/227.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/839.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/geometry/995.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/243.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/precalculus/384.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/113.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/767.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/algebra/1873.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2204.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/202.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/272.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/680.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1326.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/293.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/2640.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/402.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/530.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/251.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/2007.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/precalculus/392.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/608.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/number_theory/264.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/geometry/1049.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/696.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/160.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/precalculus/689.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/833.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1116.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1213.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/795.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1476.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1959.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/345.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/25348.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/821.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/84.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/80.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1532.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/612.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/2758.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/306.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/164.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/720.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2722.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/634.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/800.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1529.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/557.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/geometry/330.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/174.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/geometry/1011.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/64.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/46.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/1127.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/514.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1766.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1081.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/42.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1465.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2760.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/241.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/822.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/433.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/717.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/precalculus/379.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1667.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/287.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/329.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/325.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1249.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/2104.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/617.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/173.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/2338.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/148.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/707.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/982.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/1040.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/401.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/473.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/752.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/geometry/394.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/83.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/893.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/36.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/155.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/1122.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}]}, "all_val": [{"params": {"program": 26, "layer_path": [0, 1, 2, 1, 2, 3, 4, 5, 6, 7, 7, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.5638}, "val": {"pass_at": [0.13609467455621302, 0.25443786982248523, 0.30177514792899407, 0.33727810650887574, 0.3668639053254438], "identity_acc": 0.26627218934911245, "rescue_at1": 0.047337278106508875, "harm_at1": 0.17751479289940827, "nonident_top1": 1.0}}, {"params": {"program": 29, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.5446}, "val": {"pass_at": [0.17751479289940827, 0.25443786982248523, 0.30177514792899407, 0.33727810650887574, 0.3668639053254438], "identity_acc": 0.26627218934911245, "rescue_at1": 0.05325443786982249, "harm_at1": 0.14201183431952663, "nonident_top1": 1.0}}, {"params": {"program": 62, "layer_path": [0, 1, 2, 3, 4, 5, 2, 3, 4, 5, 6, 7, 8, 9, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 22, 23, 24, 25, 26, 26, 27], "train_prior": 0.5396}, "val": {"pass_at": [0.14201183431952663, 0.21893491124260356, 0.30177514792899407, 0.33727810650887574, 0.3668639053254438], "identity_acc": 0.26627218934911245, "rescue_at1": 0.0650887573964497, "harm_at1": 0.1893491124260355, "nonident_top1": 1.0}}, {"params": {"program": 34, "layer_path": [0, 1, 2, 3, 4, 5, 2, 3, 4, 5, 6, 7, 8, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.5391}, "val": {"pass_at": [0.14792899408284024, 0.23668639053254437, 0.3136094674556213, 0.33727810650887574, 0.3668639053254438], "identity_acc": 0.26627218934911245, "rescue_at1": 0.0650887573964497, "harm_at1": 0.1834319526627219, "nonident_top1": 1.0}}, {"params": {"program": 51, "layer_path": [0, 1, 2, 3, 4, 5, 2, 3, 4, 5, 6, 7, 8, 9, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 22, 23, 24, 25, 26, 27], "train_prior": 0.5009}, "val": {"pass_at": [0.17159763313609466, 0.24260355029585798, 0.3136094674556213, 0.33136094674556216, 0.3668639053254438], "identity_acc": 0.26627218934911245, "rescue_at1": 0.05325443786982249, "harm_at1": 0.14792899408284024, "nonident_top1": 1.0}}, {"params": {"program": 38, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 16, 17, 18, 19, 19, 20, 21, 22, 23, 24, 23, 24, 25, 26, 27], "train_prior": 0.4488}, "val": {"pass_at": [0.15976331360946747, 0.2485207100591716, 0.33136094674556216, 0.3668639053254438, 0.39644970414201186], "identity_acc": 0.26627218934911245, "rescue_at1": 0.04142011834319527, "harm_at1": 0.14792899408284024, "nonident_top1": 1.0}}, {"params": {"program": 81, "layer_path": [0, 1, 2, 3, 4, 5, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "train_prior": 0.4412}, "val": {"pass_at": [0.1242603550295858, 0.23076923076923078, 0.28402366863905326, 0.3254437869822485, 0.35502958579881655], "identity_acc": 0.26627218934911245, "rescue_at1": 0.023668639053254437, "harm_at1": 0.16568047337278108, "nonident_top1": 1.0}}, {"params": {"program": 36, "layer_path": [0, 1, 2, 3, 4, 5, 6, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.4412}, "val": {"pass_at": [0.1301775147928994, 0.20710059171597633, 0.28402366863905326, 0.3254437869822485, 0.35502958579881655], "identity_acc": 0.26627218934911245, "rescue_at1": 0.029585798816568046, "harm_at1": 0.16568047337278108, "nonident_top1": 1.0}}, {"params": {"program": 37, "layer_path": [0, 1, 1, 2, 3, 4, 5, 6, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.4412}, "val": {"pass_at": [0.17159763313609466, 0.24260355029585798, 0.3254437869822485, 0.3609467455621302, 0.38461538461538464], "identity_acc": 0.26627218934911245, "rescue_at1": 0.0650887573964497, "harm_at1": 0.15976331360946747, "nonident_top1": 1.0}}, {"params": {"program": 24, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.4378}, "val": {"pass_at": [0.23668639053254437, 0.3076923076923077, 0.3609467455621302, 0.40236686390532544, 0.4319526627218935], "identity_acc": 0.26627218934911245, "rescue_at1": 0.0650887573964497, "harm_at1": 0.09467455621301775, "nonident_top1": 1.0}}, {"params": {"program": 88, "layer_path": [0, 1, 2, 3, 4, 5, 2, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 24, 25, 27], "train_prior": 0.4361}, "val": {"pass_at": [0.1893491124260355, 0.26627218934911245, 0.3431952662721893, 0.3727810650887574, 0.39644970414201186], "identity_acc": 0.26627218934911245, "rescue_at1": 0.05917159763313609, "harm_at1": 0.13609467455621302, "nonident_top1": 1.0}}, {"params": {"program": 98, "layer_path": [0, 1, 2, 3, 4, 5, 3, 4, 5, 6, 7, 8, 9, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26], "train_prior": 0.43}, "val": {"pass_at": [0.14201183431952663, 0.23668639053254437, 0.3076923076923077, 0.3254437869822485, 0.34911242603550297], "identity_acc": 0.26627218934911245, "rescue_at1": 0.05917159763313609, "harm_at1": 0.1834319526627219, "nonident_top1": 1.0}}, {"params": {"program": 78, "layer_path": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 13, 14, 15, 16, 17, 18, 19, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 27], "train_prior": 0.4243}, "val": {"pass_at": [0.14201183431952663, 0.24260355029585798, 0.3136094674556213, 0.35502958579881655, 0.38461538461538464], "identity_acc": 0.26627218934911245, "rescue_at1": 0.04142011834319527, "harm_at1": 0.16568047337278108, "nonident_top1": 1.0}}, {"params": {"program": 111, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 12, 13, 14, 15, 16, 13, 14, 15, 16, 18, 19, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.4227}, "val": {"pass_at": [0.07692307692307693, 0.1834319526627219, 0.27218934911242604, 0.3136094674556213, 0.3431952662721893], "identity_acc": 0.26627218934911245, "rescue_at1": 0.03550295857988166, "harm_at1": 0.22485207100591717, "nonident_top1": 1.0}}, {"params": {"program": 13, "layer_path": [0, 1, 2, 3, 1, 2, 3, 4, 5, 6, 7, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.4169}, "val": {"pass_at": [0.20710059171597633, 0.24260355029585798, 0.3076923076923077, 0.34911242603550297, 0.378698224852071], "identity_acc": 0.26627218934911245, "rescue_at1": 0.05917159763313609, "harm_at1": 0.11834319526627218, "nonident_top1": 1.0}}, {"params": {"program": 107, "layer_path": [0, 1, 1, 2, 4, 5, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.4105}, "val": {"pass_at": [0.14201183431952663, 0.22485207100591717, 0.3076923076923077, 0.34911242603550297, 0.378698224852071], "identity_acc": 0.26627218934911245, "rescue_at1": 0.07100591715976332, "harm_at1": 0.1952662721893491, "nonident_top1": 1.0}}, {"params": {"program": 20, "layer_path": [0, 1, 2, 3, 1, 2, 3, 4, 5, 6, 7, 7, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.4097}, "val": {"pass_at": [0.11242603550295859, 0.1893491124260355, 0.28402366863905326, 0.33136094674556216, 0.35502958579881655], "identity_acc": 0.26627218934911245, "rescue_at1": 0.04142011834319527, "harm_at1": 0.1952662721893491, "nonident_top1": 1.0}}, {"params": {"program": 22, "layer_path": [0, 1, 2, 3, 4, 5, 2, 3, 4, 5, 6, 7, 8, 9, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26], "train_prior": 0.3986}, "val": {"pass_at": [0.1301775147928994, 0.22485207100591717, 0.2958579881656805, 0.31952662721893493, 0.3431952662721893], "identity_acc": 0.26627218934911245, "rescue_at1": 0.04142011834319527, "harm_at1": 0.17751479289940827, "nonident_top1": 1.0}}, {"params": {"program": 73, "layer_path": [0, 1, 2, 3, 4, 5, 2, 3, 4, 5, 6, 6, 7, 8, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.394}, "val": {"pass_at": [0.14201183431952663, 0.23668639053254437, 0.30177514792899407, 0.3254437869822485, 0.3431952662721893], "identity_acc": 0.26627218934911245, "rescue_at1": 0.047337278106508875, "harm_at1": 0.17159763313609466, "nonident_top1": 1.0}}, {"params": {"program": 96, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 23, 24, 25, 26, 27], "train_prior": 0.3926}, "val": {"pass_at": [0.1834319526627219, 0.25443786982248523, 0.3431952662721893, 0.38461538461538464, 0.41420118343195267], "identity_acc": 0.26627218934911245, "rescue_at1": 0.047337278106508875, "harm_at1": 0.1301775147928994, "nonident_top1": 1.0}}]}}}
polar_split/fixed_program/llama32_3b/polar_default/seed7/diff2/fold3.json ADDED
@@ -0,0 +1 @@
 
 
1
+ {"difficulty": 2, "menu_size": 266, "prompt_style": "raw", "samples": "/app/data/router_data/theirsplit_cv/l3b_lpselraws7_diff2_f3.json", "n": {"train": 843, "val": 169, "test": 337}, "methods": {"fixed": {"winner": {"program": 26, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.4132}, "val": {"pass_at": [0.23668639053254437, 0.3254437869822485, 0.3727810650887574, 0.41420118343195267, 0.4319526627218935], "identity_acc": 0.26627218934911245, "rescue_at1": 0.0650887573964497, "harm_at1": 0.09467455621301775, "nonident_top1": 1.0}, "test": {"pass_at": [0.2551928783382789, 0.3293768545994065, 0.37091988130563797, 0.39465875370919884, 0.42433234421364985], "identity_acc": 0.3353115727002967, "rescue_at1": 0.05934718100890208, "harm_at1": 0.1394658753709199, "nonident_top1": 1.0, "mcnemar_p": 0.0013071686857636005, "n_distinct_top1": 1, "top_nonidentity": [{"layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "n": 337}], "per_question": [{"query_id": "MATH/train/number_theory/730.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/217.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/number_theory/649.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/996.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/1049.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/211.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/278.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1664.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/1196.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1783.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/1889.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/887.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/1763.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/453.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/number_theory/71.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/551.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/2171.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/234.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1941.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1759.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/507.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/197.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/482.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1537.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/415.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/560.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/number_theory/1166.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1463.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/346.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/961.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/geometry/840.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1636.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1539.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/600.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/precalculus/682.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/16.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/583.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/646.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/180.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/765.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/562.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/1158.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/671.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/number_theory/26.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/674.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/223.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/220.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/1296.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1720.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/665.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/precalculus/306.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/152.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/2136.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/616.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/633.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/1622.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1645.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1285.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/1129.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/804.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2824.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/791.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/461.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/492.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/geometry/552.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/precalculus/446.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1647.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1021.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/precalculus/1167.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2383.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/number_theory/6.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1944.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/2586.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/255.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1174.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1841.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/529.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/315.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/369.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/256.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/54.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/102.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1228.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/753.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/1062.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/precalculus/76.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/973.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/677.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/1229.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/algebra/434.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/2420.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/334.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/90.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1817.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/952.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/2053.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/417.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/27.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/753.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1010.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/213.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/535.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/1472.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/algebra/875.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/precalculus/99.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/2071.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/1414.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/982.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1727.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/976.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/683.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1475.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/737.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/number_theory/286.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/precalculus/576.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/981.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/26.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/908.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/545.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/417.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/1018.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2379.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/860.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/468.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/835.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/474.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/1100.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/precalculus/445.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/865.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/2004.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/270.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/505.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/1207.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/1053.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1692.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/561.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2347.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1706.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1207.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/786.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/8.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/854.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/number_theory/478.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/precalculus/258.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/2016.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/381.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/number_theory/785.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1905.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/1219.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/169.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/137.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/292.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/871.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/543.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/678.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/942.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/891.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/1984.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/456.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/1059.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/871.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/190.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/1094.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/1042.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/533.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/1209.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/152.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/1590.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1832.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/355.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/1071.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/237.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/1305.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/830.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/18.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/2180.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/942.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/2161.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/precalculus/368.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/2610.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1099.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/673.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1367.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2042.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/712.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/1972.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/365.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/307.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/465.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1335.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/1544.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/285.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/19.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/precalculus/414.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/333.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/330.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/950.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/338.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/367.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1412.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/82.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/578.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/940.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/1690.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/892.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/658.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/79.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/precalculus/698.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1106.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/precalculus/472.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/1097.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/number_theory/217.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/920.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/algebra/290.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/904.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1245.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/geometry/298.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/358.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/550.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/118.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/209.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2836.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/391.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/24118.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/1069.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/262.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1593.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1026.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/1027.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1017.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/precalculus/124.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/811.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/200.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/471.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1035.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/502.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/number_theory/522.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/66.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/precalculus/554.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1579.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/735.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/42.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/algebra/2466.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2148.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1955.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/geometry/618.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/precalculus/358.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1481.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/316.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/346.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/291.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/148.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/287.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/95.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/2175.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/997.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/161.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/2492.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/14.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1384.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/1192.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/687.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/252.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/603.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/654.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/530.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/693.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/368.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/1483.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/717.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1825.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/2729.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/229.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/38.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/29.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2367.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/2490.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1493.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/67.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/algebra/607.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/geometry/239.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/96.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/833.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/386.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2061.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/409.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/314.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/532.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/264.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/354.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1016.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/precalculus/502.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/number_theory/637.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/25190.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1222.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/705.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2059.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/62.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/47.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1377.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/943.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/729.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/611.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/precalculus/709.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/precalculus/340.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/2145.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1281.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/931.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/2608.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/783.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1917.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/521.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2245.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2573.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/2004.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/676.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/232.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/564.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/427.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/precalculus/400.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/25326.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/589.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1228.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/582.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/361.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/89.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/precalculus/1068.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/1085.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1958.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1861.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/721.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/2085.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/399.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/610.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/1617.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/1039.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/number_theory/420.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}]}, "all_val": [{"params": {"program": 34, "layer_path": [0, 1, 2, 3, 4, 5, 2, 3, 4, 5, 6, 7, 8, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.5803}, "val": {"pass_at": [0.14792899408284024, 0.23668639053254437, 0.28402366863905326, 0.33727810650887574, 0.3668639053254438], "identity_acc": 0.26627218934911245, "rescue_at1": 0.0650887573964497, "harm_at1": 0.1834319526627219, "nonident_top1": 1.0}}, {"params": {"program": 28, "layer_path": [0, 1, 2, 1, 2, 3, 4, 5, 6, 7, 7, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.5647}, "val": {"pass_at": [0.13609467455621302, 0.23668639053254437, 0.28402366863905326, 0.33727810650887574, 0.3668639053254438], "identity_acc": 0.26627218934911245, "rescue_at1": 0.047337278106508875, "harm_at1": 0.17751479289940827, "nonident_top1": 1.0}}, {"params": {"program": 62, "layer_path": [0, 1, 2, 3, 4, 5, 2, 3, 4, 5, 6, 7, 8, 9, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 22, 23, 24, 25, 26, 26, 27], "train_prior": 0.556}, "val": {"pass_at": [0.14201183431952663, 0.23076923076923078, 0.28402366863905326, 0.33727810650887574, 0.3668639053254438], "identity_acc": 0.26627218934911245, "rescue_at1": 0.0650887573964497, "harm_at1": 0.1893491124260355, "nonident_top1": 1.0}}, {"params": {"program": 33, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.492}, "val": {"pass_at": [0.17751479289940827, 0.2603550295857988, 0.3136094674556213, 0.33727810650887574, 0.3668639053254438], "identity_acc": 0.26627218934911245, "rescue_at1": 0.05325443786982249, "harm_at1": 0.14201183431952663, "nonident_top1": 1.0}}, {"params": {"program": 44, "layer_path": [0, 1, 2, 3, 4, 5, 2, 3, 4, 5, 6, 7, 8, 9, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 22, 23, 24, 25, 26, 27], "train_prior": 0.4654}, "val": {"pass_at": [0.17159763313609466, 0.24260355029585798, 0.30177514792899407, 0.31952662721893493, 0.3668639053254438], "identity_acc": 0.26627218934911245, "rescue_at1": 0.05325443786982249, "harm_at1": 0.14792899408284024, "nonident_top1": 1.0}}, {"params": {"program": 35, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 16, 17, 18, 19, 19, 20, 21, 22, 23, 24, 23, 24, 25, 26, 27], "train_prior": 0.4485}, "val": {"pass_at": [0.15976331360946747, 0.26627218934911245, 0.33136094674556216, 0.3668639053254438, 0.39644970414201186], "identity_acc": 0.26627218934911245, "rescue_at1": 0.04142011834319527, "harm_at1": 0.14792899408284024, "nonident_top1": 1.0}}, {"params": {"program": 70, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 23, 24, 25, 26, 27], "train_prior": 0.4449}, "val": {"pass_at": [0.1834319526627219, 0.28994082840236685, 0.33136094674556216, 0.3727810650887574, 0.41420118343195267], "identity_acc": 0.26627218934911245, "rescue_at1": 0.047337278106508875, "harm_at1": 0.1301775147928994, "nonident_top1": 1.0}}, {"params": {"program": 71, "layer_path": [0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 13, 14, 15, 16, 17, 18, 19, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 27], "train_prior": 0.4449}, "val": {"pass_at": [0.14201183431952663, 0.2485207100591716, 0.3076923076923077, 0.34911242603550297, 0.38461538461538464], "identity_acc": 0.26627218934911245, "rescue_at1": 0.04142011834319527, "harm_at1": 0.16568047337278108, "nonident_top1": 1.0}}, {"params": {"program": 91, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 12, 13, 14, 15, 16, 13, 14, 15, 16, 18, 19, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.4292}, "val": {"pass_at": [0.07692307692307693, 0.17751479289940827, 0.2603550295857988, 0.3076923076923077, 0.3431952662721893], "identity_acc": 0.26627218934911245, "rescue_at1": 0.03550295857988166, "harm_at1": 0.22485207100591717, "nonident_top1": 1.0}}, {"params": {"program": 100, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 20, 21, 22, 23, 23, 24, 25, 26, 27], "train_prior": 0.4292}, "val": {"pass_at": [0.11834319526627218, 0.21893491124260356, 0.28994082840236685, 0.33136094674556216, 0.3727810650887574], "identity_acc": 0.26627218934911245, "rescue_at1": 0.023668639053254437, "harm_at1": 0.17159763313609466, "nonident_top1": 1.0}}, {"params": {"program": 66, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 25, 26, 27], "train_prior": 0.4198}, "val": {"pass_at": [0.15976331360946747, 0.2485207100591716, 0.3076923076923077, 0.33727810650887574, 0.3727810650887574], "identity_acc": 0.26627218934911245, "rescue_at1": 0.023668639053254437, "harm_at1": 0.1301775147928994, "nonident_top1": 1.0}}, {"params": {"program": 43, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.4169}, "val": {"pass_at": [0.1952662721893491, 0.2958579881656805, 0.3431952662721893, 0.378698224852071, 0.41420118343195267], "identity_acc": 0.26627218934911245, "rescue_at1": 0.05325443786982249, "harm_at1": 0.1242603550295858, "nonident_top1": 1.0}}, {"params": {"program": 26, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.4132}, "val": {"pass_at": [0.23668639053254437, 0.3254437869822485, 0.3727810650887574, 0.41420118343195267, 0.4319526627218935], "identity_acc": 0.26627218934911245, "rescue_at1": 0.0650887573964497, "harm_at1": 0.09467455621301775, "nonident_top1": 1.0}}, {"params": {"program": 27, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 23, 24, 25, 26, 27], "train_prior": 0.4119}, "val": {"pass_at": [0.20710059171597633, 0.2958579881656805, 0.33727810650887574, 0.3727810650887574, 0.40828402366863903], "identity_acc": 0.26627218934911245, "rescue_at1": 0.047337278106508875, "harm_at1": 0.10650887573964497, "nonident_top1": 1.0}}, {"params": {"program": 21, "layer_path": [0, 1, 2, 3, 4, 5, 2, 3, 4, 5, 6, 7, 8, 9, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26], "train_prior": 0.4099}, "val": {"pass_at": [0.1301775147928994, 0.20118343195266272, 0.2781065088757396, 0.30177514792899407, 0.3431952662721893], "identity_acc": 0.26627218934911245, "rescue_at1": 0.04142011834319527, "harm_at1": 0.17751479289940827, "nonident_top1": 1.0}}, {"params": {"program": 81, "layer_path": [0, 1, 2, 3, 4, 5, 3, 4, 5, 6, 7, 8, 9, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26], "train_prior": 0.4079}, "val": {"pass_at": [0.14201183431952663, 0.20710059171597633, 0.28402366863905326, 0.3076923076923077, 0.34911242603550297], "identity_acc": 0.26627218934911245, "rescue_at1": 0.05917159763313609, "harm_at1": 0.1834319526627219, "nonident_top1": 1.0}}, {"params": {"program": 161, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 11, 12, 12, 13, 14, 15, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 24, 25, 26, 27], "train_prior": 0.4008}, "val": {"pass_at": [0.14792899408284024, 0.2485207100591716, 0.3136094674556213, 0.3609467455621302, 0.39644970414201186], "identity_acc": 0.26627218934911245, "rescue_at1": 0.0650887573964497, "harm_at1": 0.1834319526627219, "nonident_top1": 1.0}}, {"params": {"program": 116, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 23, 24, 25, 26, 27], "train_prior": 0.4006}, "val": {"pass_at": [0.1834319526627219, 0.26627218934911245, 0.31952662721893493, 0.35502958579881655, 0.39644970414201186], "identity_acc": 0.26627218934911245, "rescue_at1": 0.05917159763313609, "harm_at1": 0.14201183431952663, "nonident_top1": 1.0}}, {"params": {"program": 86, "layer_path": [0, 1, 2, 3, 4, 5, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "train_prior": 0.4005}, "val": {"pass_at": [0.1242603550295858, 0.21301775147928995, 0.28994082840236685, 0.3254437869822485, 0.35502958579881655], "identity_acc": 0.26627218934911245, "rescue_at1": 0.023668639053254437, "harm_at1": 0.16568047337278108, "nonident_top1": 1.0}}, {"params": {"program": 76, "layer_path": [0, 1, 2, 3, 4, 5, 2, 3, 4, 5, 6, 6, 7, 8, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.3933}, "val": {"pass_at": [0.14201183431952663, 0.1893491124260355, 0.26627218934911245, 0.30177514792899407, 0.3431952662721893], "identity_acc": 0.26627218934911245, "rescue_at1": 0.047337278106508875, "harm_at1": 0.17159763313609466, "nonident_top1": 1.0}}]}}}
polar_split/fixed_program/llama32_3b/polar_default/seed7/diff4/fold1.json ADDED
@@ -0,0 +1 @@
 
 
1
+ {"difficulty": 4, "menu_size": 218, "prompt_style": "raw", "samples": "/app/data/router_data/theirsplit_cv/l3b_lpselraws7_diff4_f1.json", "n": {"train": 961, "val": 192, "test": 384}, "methods": {"fixed": {"winner": {"program": 28, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.5041}, "val": {"pass_at": [0.140625, 0.16666666666666666, 0.21875, 0.2760416666666667, 0.3125], "identity_acc": 0.20833333333333334, "rescue_at1": 0.078125, "harm_at1": 0.14583333333333334, "nonident_top1": 1.0}, "test": {"pass_at": [0.12239583333333333, 0.1640625, 0.2109375, 0.2890625, 0.3203125], "identity_acc": 0.21875, "rescue_at1": 0.0546875, "harm_at1": 0.15104166666666666, "nonident_top1": 1.0, "mcnemar_p": 3.761512780416608e-05, "n_distinct_top1": 1, "top_nonidentity": [{"layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "n": 384}], "per_question": [{"query_id": "MATH/train/geometry/58.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/676.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/492.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1966.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/1135.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/230.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/252.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/656.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/53.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/580.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/866.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/1627.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1494.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/precalculus/790.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/1430.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/1090.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/474.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/1514.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/963.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/geometry/966.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/892.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1262.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/451.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1450.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/675.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/615.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/428.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/835.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/575.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/1225.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1801.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/501.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/147.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1461.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/155.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/929.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1859.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/1154.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/639.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/384.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/123.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2803.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/505.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/822.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/372.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1057.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/precalculus/191.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/753.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/841.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/1223.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/831.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/907.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/2388.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1370.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1785.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/2487.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/1101.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/371.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/899.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/1253.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/656.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/265.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1921.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/1263.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/590.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1917.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/874.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/367.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/2056.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/749.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/426.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/542.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1365.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1304.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1098.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2006.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1709.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/649.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/2778.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1953.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/precalculus/370.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2678.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/308.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/360.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/geometry/303.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/815.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/810.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/836.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/2791.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/181.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/541.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/897.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/geometry/675.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/1028.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1415.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/2200.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2289.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/62.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/59.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/775.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/247.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/1104.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1764.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2607.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/584.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/1062.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/79.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/24022.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/759.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/326.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/precalculus/1010.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/959.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/24737.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1305.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/438.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/749.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/201.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/1735.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/412.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/662.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2447.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1517.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/precalculus/552.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/126.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/157.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/650.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/86.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/923.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1840.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/precalculus/706.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1599.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/634.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/309.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/811.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/1048.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/695.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/geometry/349.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1068.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/2.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/525.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/779.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/98.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/333.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/55.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/geometry/1099.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/419.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/787.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/385.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1049.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/264.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/72.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/238.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1025.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/810.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/number_theory/633.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1644.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/1242.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/858.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/375.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/97.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/215.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/350.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/2049.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/400.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/899.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/624.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/602.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/851.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/894.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/70.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/23928.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/512.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2504.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/935.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/2505.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/240.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1420.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/810.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1077.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/916.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/1205.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/1190.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/1045.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/geometry/532.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/817.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/127.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2767.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/594.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1156.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/510.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/892.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/605.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/393.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/1249.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/988.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/782.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/algebra/1350.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/816.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/853.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/809.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/498.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/756.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1142.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/1250.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1774.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2266.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1361.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/958.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/244.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1370.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/1108.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/1217.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/997.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1315.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/1906.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/299.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/868.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/25002.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/637.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/622.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/220.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/919.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/78.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1154.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1769.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1692.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/algebra/1955.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/748.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/2180.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1525.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/349.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/1030.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/290.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1211.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/946.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2230.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/956.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/659.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/414.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/1021.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/708.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/410.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/371.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/1141.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/2035.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/algebra/25192.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1540.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/1190.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1908.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/655.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/1262.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/753.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/226.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/1020.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/precalculus/1258.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/109.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/839.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/2050.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/1012.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/459.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1161.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/1152.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/24884.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1525.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1327.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/658.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1923.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/444.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/529.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/630.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/632.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/586.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/546.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/601.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1751.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1298.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/241.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/586.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/948.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/geometry/891.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/144.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/2016.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/203.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/441.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/445.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/1070.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/2071.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/945.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1848.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/461.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/2.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/geometry/506.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/1124.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1286.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/precalculus/745.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/1671.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/869.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/561.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/566.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/precalculus/29.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/118.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/308.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/851.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2468.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/234.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/precalculus/1099.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/882.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2001.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/318.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/325.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/algebra/377.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/831.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1444.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/866.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/404.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/845.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1858.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/precalculus/1058.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/2080.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/607.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2727.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1939.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/number_theory/565.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1603.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/25610.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/115.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/718.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/336.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/81.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/2044.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/1719.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1340.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/745.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/geometry/147.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/824.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/1055.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2668.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/974.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/979.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/882.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/486.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/1860.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1126.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/precalculus/95.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/860.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/1105.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/948.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1261.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/667.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/754.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1643.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1281.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/941.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/201.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/2107.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/35.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/975.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/47.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/1819.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/1795.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/30.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/precalculus/429.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1831.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1100.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/42.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/35.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/2185.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1013.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/389.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/129.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/553.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1613.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/precalculus/607.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/512.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/424.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/433.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1425.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/808.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/707.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1767.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/887.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/1186.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/793.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/860.json", "top1": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "identity_correct": false, "top1_correct": true}]}, "all_val": [{"params": {"program": 42, "layer_path": [0, 1, 2, 3, 4, 5, 2, 3, 4, 5, 7, 8, 9, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 24, 26, 27], "train_prior": 0.5075}, "val": {"pass_at": [0.052083333333333336, 0.16666666666666666, 0.21875, 0.2760416666666667, 0.3125], "identity_acc": 0.20833333333333334, "rescue_at1": 0.052083333333333336, "harm_at1": 0.20833333333333334, "nonident_top1": 1.0}}, {"params": {"program": 28, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.5041}, "val": {"pass_at": [0.140625, 0.16666666666666666, 0.21875, 0.2760416666666667, 0.3125], "identity_acc": 0.20833333333333334, "rescue_at1": 0.078125, "harm_at1": 0.14583333333333334, "nonident_top1": 1.0}}, {"params": {"program": 34, "layer_path": [0, 1, 2, 1, 2, 3, 4, 5, 6, 7, 7, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.4721}, "val": {"pass_at": [0.08333333333333333, 0.13541666666666666, 0.21875, 0.2760416666666667, 0.3125], "identity_acc": 0.20833333333333334, "rescue_at1": 0.03125, "harm_at1": 0.15625, "nonident_top1": 1.0}}, {"params": {"program": 39, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 23, 24, 25, 26, 27], "train_prior": 0.4456}, "val": {"pass_at": [0.125, 0.16145833333333334, 0.23958333333333334, 0.2760416666666667, 0.3125], "identity_acc": 0.20833333333333334, "rescue_at1": 0.052083333333333336, "harm_at1": 0.13541666666666666, "nonident_top1": 1.0}}, {"params": {"program": 81, "layer_path": [0, 1, 2, 3, 4, 5, 2, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 24, 25, 27], "train_prior": 0.4287}, "val": {"pass_at": [0.13020833333333334, 0.15625, 0.234375, 0.2604166666666667, 0.3125], "identity_acc": 0.20833333333333334, "rescue_at1": 0.057291666666666664, "harm_at1": 0.13541666666666666, "nonident_top1": 1.0}}, {"params": {"program": 65, "layer_path": [0, 1, 2, 3, 4, 5, 2, 3, 4, 5, 6, 7, 8, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.4049}, "val": {"pass_at": [0.07291666666666667, 0.08854166666666667, 0.1875, 0.234375, 0.2760416666666667], "identity_acc": 0.20833333333333334, "rescue_at1": 0.052083333333333336, "harm_at1": 0.1875, "nonident_top1": 1.0}}, {"params": {"program": 76, "layer_path": [0, 1, 2, 3, 4, 5, 3, 4, 5, 6, 7, 8, 9, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26], "train_prior": 0.3962}, "val": {"pass_at": [0.125, 0.16666666666666666, 0.234375, 0.2708333333333333, 0.3020833333333333], "identity_acc": 0.20833333333333334, "rescue_at1": 0.046875, "harm_at1": 0.13020833333333334, "nonident_top1": 1.0}}, {"params": {"program": 91, "layer_path": [0, 1, 2, 3, 4, 5, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "train_prior": 0.3951}, "val": {"pass_at": [0.11458333333333333, 0.15104166666666666, 0.22916666666666666, 0.2552083333333333, 0.3020833333333333], "identity_acc": 0.20833333333333334, "rescue_at1": 0.046875, "harm_at1": 0.140625, "nonident_top1": 1.0}}, {"params": {"program": 13, "layer_path": [0, 1, 2, 3, 1, 2, 3, 4, 5, 6, 7, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.3931}, "val": {"pass_at": [0.11979166666666667, 0.16145833333333334, 0.234375, 0.265625, 0.3072916666666667], "identity_acc": 0.20833333333333334, "rescue_at1": 0.036458333333333336, "harm_at1": 0.125, "nonident_top1": 1.0}}, {"params": {"program": 44, "layer_path": [0, 1, 1, 2, 3, 4, 5, 6, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.3873}, "val": {"pass_at": [0.09895833333333333, 0.140625, 0.22395833333333334, 0.2708333333333333, 0.3072916666666667], "identity_acc": 0.20833333333333334, "rescue_at1": 0.057291666666666664, "harm_at1": 0.16666666666666666, "nonident_top1": 1.0}}, {"params": {"program": 16, "layer_path": [0, 1, 2, 2, 3, 5, 6, 7, 8, 9, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 19, 20, 21, 22, 23, 24, 24, 25, 26, 27], "train_prior": 0.3861}, "val": {"pass_at": [0.07291666666666667, 0.109375, 0.19791666666666666, 0.24479166666666666, 0.2916666666666667], "identity_acc": 0.20833333333333334, "rescue_at1": 0.041666666666666664, "harm_at1": 0.17708333333333334, "nonident_top1": 1.0}}, {"params": {"program": 50, "layer_path": [0, 1, 2, 3, 4, 5, 2, 3, 4, 5, 6, 7, 8, 9, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 22, 23, 24, 25, 26, 27], "train_prior": 0.3854}, "val": {"pass_at": [0.07291666666666667, 0.10416666666666667, 0.19270833333333334, 0.234375, 0.2864583333333333], "identity_acc": 0.20833333333333334, "rescue_at1": 0.046875, "harm_at1": 0.18229166666666666, "nonident_top1": 1.0}}, {"params": {"program": 31, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 16, 17, 18, 19, 19, 20, 21, 22, 23, 24, 23, 24, 25, 26, 27], "train_prior": 0.3825}, "val": {"pass_at": [0.09895833333333333, 0.14583333333333334, 0.22916666666666666, 0.2708333333333333, 0.3125], "identity_acc": 0.20833333333333334, "rescue_at1": 0.03125, "harm_at1": 0.140625, "nonident_top1": 1.0}}, {"params": {"program": 70, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 25, 26, 27], "train_prior": 0.379}, "val": {"pass_at": [0.125, 0.171875, 0.23958333333333334, 0.2708333333333333, 0.3177083333333333], "identity_acc": 0.20833333333333334, "rescue_at1": 0.041666666666666664, "harm_at1": 0.125, "nonident_top1": 1.0}}, {"params": {"program": 104, "layer_path": [0, 1, 2, 3, 4, 5, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27], "train_prior": 0.3573}, "val": {"pass_at": [0.052083333333333336, 0.10416666666666667, 0.21354166666666666, 0.234375, 0.2864583333333333], "identity_acc": 0.20833333333333334, "rescue_at1": 0.020833333333333332, "harm_at1": 0.17708333333333334, "nonident_top1": 1.0}}, {"params": {"program": 68, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 20, 21, 22, 23, 23, 24, 25, 26, 27], "train_prior": 0.347}, "val": {"pass_at": [0.09375, 0.13541666666666666, 0.21354166666666666, 0.25, 0.2916666666666667], "identity_acc": 0.20833333333333334, "rescue_at1": 0.03125, "harm_at1": 0.14583333333333334, "nonident_top1": 1.0}}, {"params": {"program": 130, "layer_path": [0, 1, 2, 2, 3, 4, 5, 6, 7, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.3369}, "val": {"pass_at": [0.125, 0.171875, 0.234375, 0.2552083333333333, 0.296875], "identity_acc": 0.20833333333333334, "rescue_at1": 0.036458333333333336, "harm_at1": 0.11979166666666667, "nonident_top1": 1.0}}, {"params": {"program": 131, "layer_path": [0, 1, 2, 1, 2, 3, 4, 5, 6, 7, 7, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 20, 21, 22, 23, 23, 24, 25, 26, 27], "train_prior": 0.3369}, "val": {"pass_at": [0.052083333333333336, 0.10416666666666667, 0.19270833333333334, 0.22395833333333334, 0.2760416666666667], "identity_acc": 0.20833333333333334, "rescue_at1": 0.020833333333333332, "harm_at1": 0.17708333333333334, "nonident_top1": 1.0}}, {"params": {"program": 151, "layer_path": [0, 1, 2, 3, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 25, 26, 26, 27], "train_prior": 0.3369}, "val": {"pass_at": [0.09895833333333333, 0.140625, 0.21875, 0.2552083333333333, 0.3020833333333333], "identity_acc": 0.20833333333333334, "rescue_at1": 0.046875, "harm_at1": 0.15625, "nonident_top1": 1.0}}, {"params": {"program": 92, "layer_path": [0, 1, 2, 3, 4, 5, 2, 3, 4, 5, 6, 7, 8, 9, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 22, 23, 24, 25, 26, 26, 27], "train_prior": 0.3358}, "val": {"pass_at": [0.0625, 0.09895833333333333, 0.19791666666666666, 0.24479166666666666, 0.2916666666666667], "identity_acc": 0.20833333333333334, "rescue_at1": 0.03125, "harm_at1": 0.17708333333333334, "nonident_top1": 1.0}}]}}}
polar_split/fixed_program/llama32_3b/polar_default/seed7/diff4/fold2.json ADDED
@@ -0,0 +1 @@
 
 
1
+ {"difficulty": 4, "menu_size": 198, "prompt_style": "raw", "samples": "/app/data/router_data/theirsplit_cv/l3b_lpselraws7_diff4_f2.json", "n": {"train": 960, "val": 192, "test": 385}, "methods": {"fixed": {"winner": {"program": 37, "layer_path": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "train_prior": 0.3526}, "val": {"pass_at": [0.16666666666666666, 0.203125, 0.21875, 0.23958333333333334, 0.23958333333333334], "identity_acc": 0.20833333333333334, "rescue_at1": 0.041666666666666664, "harm_at1": 0.08333333333333333, "nonident_top1": 1.0}, "test": {"pass_at": [0.21558441558441557, 0.23376623376623376, 0.24935064935064935, 0.2779220779220779, 0.2857142857142857], "identity_acc": 0.23636363636363636, "rescue_at1": 0.06493506493506493, "harm_at1": 0.08571428571428572, "nonident_top1": 1.0, "mcnemar_p": 0.3581433018061379, "n_distinct_top1": 1, "top_nonidentity": [{"layer_path": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "n": 385}], "per_question": [{"query_id": "MATH/train/intermediate_algebra/1265.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/718.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/383.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1493.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2151.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/842.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/576.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/1048.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1777.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/169.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/1751.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2355.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/516.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/number_theory/595.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1821.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/877.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/24411.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/1106.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/605.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1066.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/2061.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/1067.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/precalculus/707.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1627.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/1363.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/843.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/719.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/898.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/394.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/425.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1308.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/2135.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/810.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/geometry/545.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/411.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/2140.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/233.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/precalculus/975.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/961.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/138.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/1212.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1588.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/397.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/537.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/94.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/geometry/926.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/288.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/1019.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1122.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/199.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/868.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/1292.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/674.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/149.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/algebra/910.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/algebra/38.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1654.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/124.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/2568.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2597.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/740.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/58.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2506.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/340.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/556.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2069.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/257.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/2178.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/541.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/271.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/871.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1720.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/973.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/240.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2352.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/647.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/number_theory/498.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/1013.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/564.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/precalculus/497.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/473.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/677.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/857.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/24548.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/641.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1964.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2686.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/precalculus/737.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/729.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/615.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1785.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/39.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/905.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/1469.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/25404.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/948.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/529.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/85.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/894.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/53.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/1066.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1201.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/1882.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/1099.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/724.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/654.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/24417.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/1137.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/24524.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/205.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/294.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/2036.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/867.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1639.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/1164.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/26.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1083.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2304.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/768.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/738.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/2060.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/geometry/858.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1513.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/59.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/476.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/807.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/306.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2643.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1569.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/635.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1958.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/664.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/242.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/145.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/814.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/267.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/348.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1450.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/184.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1818.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/2177.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1315.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/106.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/algebra/1686.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/342.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/1709.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/751.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/500.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/192.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/geometry/1121.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/2120.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/232.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2068.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1790.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/517.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/739.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/160.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/927.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/geometry/896.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/713.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1345.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/496.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/2112.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/602.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/585.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/426.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/332.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/940.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/24959.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/2045.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/geometry/1139.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/1127.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1656.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/71.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/6.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/1210.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/2661.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/750.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1242.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/2177.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1277.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1255.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/479.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/1567.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1713.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/402.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2384.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/680.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/91.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/329.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/1015.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1378.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/algebra/1240.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2380.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1424.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1949.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/415.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1866.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/949.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/765.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/761.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1191.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/number_theory/731.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/797.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/1527.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/algebra/995.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/257.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/number_theory/934.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/1835.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1435.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/number_theory/432.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/geometry/441.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/968.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/774.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/903.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/560.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/687.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/274.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/466.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/geometry/4.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/980.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/764.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/geometry/358.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/1369.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/2063.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/741.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/619.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/798.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/997.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1409.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/950.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/2400.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/757.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/1173.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1984.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/907.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1726.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/645.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/geometry/511.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/302.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/411.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1429.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/1270.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/1119.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/213.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1329.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/125.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1715.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1297.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/410.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/985.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/434.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/361.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1224.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1844.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/940.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/49.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/2212.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/760.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/322.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/number_theory/1030.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/58.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/162.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1765.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/398.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/geometry/1143.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/542.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2658.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/16.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/1245.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1294.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/1296.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1630.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/343.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/809.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/571.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/848.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/1094.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/743.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/91.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1468.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/863.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/295.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/1243.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/437.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/550.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/619.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/24.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/103.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/122.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1257.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2131.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/1110.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/2327.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/1436.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/873.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1285.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/888.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1163.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/329.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/399.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/612.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/geometry/660.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/1026.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1191.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/306.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1856.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/precalculus/579.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/351.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/323.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/precalculus/223.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/1048.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/680.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1986.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/694.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/geometry/202.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/1258.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/572.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/764.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/625.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/262.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/1477.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/591.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/543.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/760.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1116.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/1063.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/precalculus/345.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/846.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/842.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/593.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/806.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/667.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1019.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1613.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/394.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/679.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/746.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1668.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1043.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1244.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/303.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/117.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/24607.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/1078.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/269.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1806.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/131.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/194.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1505.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/818.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/1003.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/1078.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/2179.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/28.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/1351.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/321.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/prealgebra/1533.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/708.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/406.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1955.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1191.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/807.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": false, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/301.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1141.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": true, "top1_correct": false}, {"query_id": "MATH/train/algebra/2229.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1810.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/counting_and_probability/284.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/683.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/intermediate_algebra/2149.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/geometry/136.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/number_theory/1149.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1053.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/intermediate_algebra/1431.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/2076.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1101.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/precalculus/41.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/746.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/806.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/counting_and_probability/1027.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/2233.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/1970.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": true, "top1_correct": true}, {"query_id": "MATH/train/algebra/2269.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/prealgebra/1704.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": false, "top1_correct": false}, {"query_id": "MATH/train/algebra/670.json", "top1": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "identity_correct": false, "top1_correct": false}]}, "all_val": [{"params": {"program": 33, "layer_path": [0, 1, 2, 3, 4, 5, 2, 3, 4, 5, 7, 8, 9, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 24, 26, 27], "train_prior": 0.601}, "val": {"pass_at": [0.052083333333333336, 0.08854166666666667, 0.15104166666666666, 0.15625, 0.20833333333333334], "identity_acc": 0.20833333333333334, "rescue_at1": 0.052083333333333336, "harm_at1": 0.20833333333333334, "nonident_top1": 1.0}}, {"params": {"program": 53, "layer_path": [0, 1, 2, 3, 4, 5, 2, 3, 4, 5, 6, 7, 8, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.5057}, "val": {"pass_at": [0.07291666666666667, 0.08854166666666667, 0.15104166666666666, 0.15625, 0.20833333333333334], "identity_acc": 0.20833333333333334, "rescue_at1": 0.052083333333333336, "harm_at1": 0.1875, "nonident_top1": 1.0}}, {"params": {"program": 50, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 20, 21, 22, 23, 23, 24, 25, 26, 27], "train_prior": 0.5053}, "val": {"pass_at": [0.09375, 0.13541666666666666, 0.15104166666666666, 0.15625, 0.20833333333333334], "identity_acc": 0.20833333333333334, "rescue_at1": 0.03125, "harm_at1": 0.14583333333333334, "nonident_top1": 1.0}}, {"params": {"program": 78, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "train_prior": 0.4796}, "val": {"pass_at": [0.03125, 0.078125, 0.09375, 0.15625, 0.20833333333333334], "identity_acc": 0.20833333333333334, "rescue_at1": 0.010416666666666666, "harm_at1": 0.1875, "nonident_top1": 1.0}}, {"params": {"program": 36, "layer_path": [0, 1, 2, 1, 2, 3, 4, 5, 6, 7, 7, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.414}, "val": {"pass_at": [0.08333333333333333, 0.13541666666666666, 0.16145833333333334, 0.203125, 0.20833333333333334], "identity_acc": 0.20833333333333334, "rescue_at1": 0.03125, "harm_at1": 0.15625, "nonident_top1": 1.0}}, {"params": {"program": 30, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.4075}, "val": {"pass_at": [0.140625, 0.16666666666666666, 0.1875, 0.22395833333333334, 0.22916666666666666], "identity_acc": 0.20833333333333334, "rescue_at1": 0.078125, "harm_at1": 0.14583333333333334, "nonident_top1": 1.0}}, {"params": {"program": 43, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 23, 24, 25, 26, 27], "train_prior": 0.3955}, "val": {"pass_at": [0.125, 0.16145833333333334, 0.16145833333333334, 0.19270833333333334, 0.19270833333333334], "identity_acc": 0.20833333333333334, "rescue_at1": 0.052083333333333336, "harm_at1": 0.13541666666666666, "nonident_top1": 1.0}}, {"params": {"program": 67, "layer_path": [0, 1, 2, 2, 4, 5, 6, 7, 8, 9, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.3705}, "val": {"pass_at": [0.08333333333333333, 0.13020833333333334, 0.16145833333333334, 0.203125, 0.203125], "identity_acc": 0.20833333333333334, "rescue_at1": 0.026041666666666668, "harm_at1": 0.15104166666666666, "nonident_top1": 1.0}}, {"params": {"program": 96, "layer_path": [0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "train_prior": 0.3685}, "val": {"pass_at": [0.08854166666666667, 0.13020833333333334, 0.15104166666666666, 0.19791666666666666, 0.19791666666666666], "identity_acc": 0.20833333333333334, "rescue_at1": 0.03125, "harm_at1": 0.15104166666666666, "nonident_top1": 1.0}}, {"params": {"program": 32, "layer_path": [0, 1, 2, 3, 4, 5, 2, 3, 4, 5, 7, 8, 9, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 24, 25, 26, 27], "train_prior": 0.3666}, "val": {"pass_at": [0.046875, 0.0625, 0.09375, 0.15625, 0.16145833333333334], "identity_acc": 0.20833333333333334, "rescue_at1": 0.041666666666666664, "harm_at1": 0.203125, "nonident_top1": 1.0}}, {"params": {"program": 37, "layer_path": [0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27], "train_prior": 0.3526}, "val": {"pass_at": [0.16666666666666666, 0.203125, 0.21875, 0.23958333333333334, 0.23958333333333334], "identity_acc": 0.20833333333333334, "rescue_at1": 0.041666666666666664, "harm_at1": 0.08333333333333333, "nonident_top1": 1.0}}, {"params": {"program": 102, "layer_path": [0, 1, 2, 3, 4, 5, 2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27], "train_prior": 0.352}, "val": {"pass_at": [0.11458333333333333, 0.15104166666666666, 0.171875, 0.21354166666666666, 0.21875], "identity_acc": 0.20833333333333334, "rescue_at1": 0.046875, "harm_at1": 0.140625, "nonident_top1": 1.0}}, {"params": {"program": 92, "layer_path": [0, 1, 2, 3, 4, 5, 2, 3, 4, 5, 6, 7, 8, 9, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 22, 23, 24, 25, 26, 26, 27], "train_prior": 0.3491}, "val": {"pass_at": [0.0625, 0.09895833333333333, 0.11979166666666667, 0.18229166666666666, 0.18229166666666666], "identity_acc": 0.20833333333333334, "rescue_at1": 0.03125, "harm_at1": 0.17708333333333334, "nonident_top1": 1.0}}, {"params": {"program": 12, "layer_path": [0, 1, 2, 3, 1, 2, 3, 4, 5, 6, 7, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.3434}, "val": {"pass_at": [0.11979166666666667, 0.16145833333333334, 0.17708333333333334, 0.22916666666666666, 0.234375], "identity_acc": 0.20833333333333334, "rescue_at1": 0.036458333333333336, "harm_at1": 0.125, "nonident_top1": 1.0}}, {"params": {"program": 57, "layer_path": [0, 1, 2, 3, 4, 5, 2, 3, 4, 5, 6, 7, 8, 9, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 22, 23, 24, 25, 26, 27], "train_prior": 0.3323}, "val": {"pass_at": [0.07291666666666667, 0.10416666666666667, 0.125, 0.18229166666666666, 0.1875], "identity_acc": 0.20833333333333334, "rescue_at1": 0.046875, "harm_at1": 0.18229166666666666, "nonident_top1": 1.0}}, {"params": {"program": 106, "layer_path": [0, 1, 2, 3, 4, 5, 2, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 24, 25, 27], "train_prior": 0.3313}, "val": {"pass_at": [0.13020833333333334, 0.15625, 0.18229166666666666, 0.21875, 0.22395833333333334], "identity_acc": 0.20833333333333334, "rescue_at1": 0.057291666666666664, "harm_at1": 0.13541666666666666, "nonident_top1": 1.0}}, {"params": {"program": 116, "layer_path": [0, 1, 2, 3, 4, 5, 2, 3, 4, 5, 6, 7, 8, 9, 11, 11, 12, 13, 14, 15, 16, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26], "train_prior": 0.3313}, "val": {"pass_at": [0.078125, 0.11979166666666667, 0.140625, 0.1875, 0.1875], "identity_acc": 0.20833333333333334, "rescue_at1": 0.036458333333333336, "harm_at1": 0.16666666666666666, "nonident_top1": 1.0}}, {"params": {"program": 29, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27], "train_prior": 0.3286}, "val": {"pass_at": [0.15625, 0.20833333333333334, 0.22395833333333334, 0.2552083333333333, 0.2552083333333333], "identity_acc": 0.20833333333333334, "rescue_at1": 0.041666666666666664, "harm_at1": 0.09375, "nonident_top1": 1.0}}, {"params": {"program": 34, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 16, 17, 18, 19, 19, 20, 21, 22, 23, 24, 23, 24, 25, 26, 27], "train_prior": 0.3269}, "val": {"pass_at": [0.09895833333333333, 0.14583333333333334, 0.16666666666666666, 0.21875, 0.21875], "identity_acc": 0.20833333333333334, "rescue_at1": 0.03125, "harm_at1": 0.140625, "nonident_top1": 1.0}}, {"params": {"program": 88, "layer_path": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 25, 26, 27], "train_prior": 0.3158}, "val": {"pass_at": [0.125, 0.171875, 0.1875, 0.22395833333333334, 0.22395833333333334], "identity_acc": 0.20833333333333334, "rescue_at1": 0.041666666666666664, "harm_at1": 0.125, "nonident_top1": 1.0}}]}}}