Upload verified_relations.json with huggingface_hub
Browse files- verified_relations.json +1123 -0
verified_relations.json
ADDED
|
@@ -0,0 +1,1123 @@
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
| 1 |
+
{
|
| 2 |
+
"spaces": {
|
| 3 |
+
"e5_mistral": {
|
| 4 |
+
"floor": -0.0003841130528599024,
|
| 5 |
+
"ab": {
|
| 6 |
+
"add_to_mul": {
|
| 7 |
+
"n_all": 434,
|
| 8 |
+
"coh_all": 0.6268640160560608,
|
| 9 |
+
"n_verified": 96,
|
| 10 |
+
"coh_verified": 0.8813189268112183,
|
| 11 |
+
"delta": 0.25445491075515747
|
| 12 |
+
},
|
| 13 |
+
"bot_to_top": {
|
| 14 |
+
"n_all": 192,
|
| 15 |
+
"coh_all": 0.5984025001525879,
|
| 16 |
+
"n_verified": 42,
|
| 17 |
+
"coh_verified": 0.8454735279083252,
|
| 18 |
+
"delta": 0.2470710277557373
|
| 19 |
+
},
|
| 20 |
+
"finset_to_set": {
|
| 21 |
+
"n_all": 423,
|
| 22 |
+
"coh_all": 0.06766097247600555,
|
| 23 |
+
"n_verified": 39,
|
| 24 |
+
"coh_verified": 0.7255710959434509,
|
| 25 |
+
"delta": 0.6579101234674454
|
| 26 |
+
},
|
| 27 |
+
"fst_to_snd": {
|
| 28 |
+
"n_all": 296,
|
| 29 |
+
"coh_all": 0.6748515367507935,
|
| 30 |
+
"n_verified": 47,
|
| 31 |
+
"coh_verified": 0.7777955532073975,
|
| 32 |
+
"delta": 0.102944016456604
|
| 33 |
+
},
|
| 34 |
+
"iInf_to_iSup": {
|
| 35 |
+
"n_all": 145,
|
| 36 |
+
"coh_all": 0.6409391164779663,
|
| 37 |
+
"n_verified": 39,
|
| 38 |
+
"coh_verified": 0.8146470189094543,
|
| 39 |
+
"delta": 0.17370790243148804
|
| 40 |
+
},
|
| 41 |
+
"inf_to_sup": {
|
| 42 |
+
"n_all": 208,
|
| 43 |
+
"coh_all": 0.6880270838737488,
|
| 44 |
+
"n_verified": 62,
|
| 45 |
+
"coh_verified": 0.8293848633766174,
|
| 46 |
+
"delta": 0.14135777950286865
|
| 47 |
+
},
|
| 48 |
+
"injective_to_surjective": {
|
| 49 |
+
"n_all": 101,
|
| 50 |
+
"coh_all": 0.7335938215255737,
|
| 51 |
+
"n_verified": 45,
|
| 52 |
+
"coh_verified": 0.8608223795890808,
|
| 53 |
+
"delta": 0.12722855806350708
|
| 54 |
+
},
|
| 55 |
+
"inl_to_inr": {
|
| 56 |
+
"n_all": 166,
|
| 57 |
+
"coh_all": 0.4526086151599884,
|
| 58 |
+
"n_verified": 11,
|
| 59 |
+
"coh_verified": 0.7443622946739197,
|
| 60 |
+
"delta": 0.2917536795139313
|
| 61 |
+
},
|
| 62 |
+
"interior_to_closure": {
|
| 63 |
+
"n_all": 25,
|
| 64 |
+
"coh_all": 0.7307056188583374,
|
| 65 |
+
"n_verified": 14,
|
| 66 |
+
"coh_verified": 0.8647757768630981,
|
| 67 |
+
"delta": 0.13407015800476074
|
| 68 |
+
},
|
| 69 |
+
"isOpen_to_isClosed": {
|
| 70 |
+
"n_all": 34,
|
| 71 |
+
"coh_all": 0.6462042927742004,
|
| 72 |
+
"n_verified": 15,
|
| 73 |
+
"coh_verified": 0.8805956244468689,
|
| 74 |
+
"delta": 0.23439133167266846
|
| 75 |
+
},
|
| 76 |
+
"le_to_lt": {
|
| 77 |
+
"n_all": 785,
|
| 78 |
+
"coh_all": 0.5481967329978943,
|
| 79 |
+
"n_verified": 284,
|
| 80 |
+
"coh_verified": 0.7536243796348572,
|
| 81 |
+
"delta": 0.2054276466369629
|
| 82 |
+
},
|
| 83 |
+
"left_to_right": {
|
| 84 |
+
"n_all": 1900,
|
| 85 |
+
"coh_all": 0.6030236482620239,
|
| 86 |
+
"n_verified": 18,
|
| 87 |
+
"coh_verified": 0.7984665036201477,
|
| 88 |
+
"delta": 0.19544285535812378
|
| 89 |
+
},
|
| 90 |
+
"list_to_multiset": {
|
| 91 |
+
"n_all": 182,
|
| 92 |
+
"coh_all": 0.31718194484710693,
|
| 93 |
+
"n_verified": 9,
|
| 94 |
+
"coh_verified": 0.1495593935251236,
|
| 95 |
+
"delta": -0.16762255132198334
|
| 96 |
+
},
|
| 97 |
+
"map_to_comap": {
|
| 98 |
+
"n_all": 148,
|
| 99 |
+
"coh_all": 0.49125880002975464,
|
| 100 |
+
"n_verified": 11,
|
| 101 |
+
"coh_verified": 0.7979682087898254,
|
| 102 |
+
"delta": 0.3067094087600708
|
| 103 |
+
},
|
| 104 |
+
"min_to_max": {
|
| 105 |
+
"n_all": 83,
|
| 106 |
+
"coh_all": 0.851881742477417,
|
| 107 |
+
"n_verified": 30,
|
| 108 |
+
"coh_verified": 0.9443461298942566,
|
| 109 |
+
"delta": 0.0924643874168396
|
| 110 |
+
},
|
| 111 |
+
"multiset_to_finset": {
|
| 112 |
+
"n_all": 241,
|
| 113 |
+
"coh_all": 0.19049127399921417,
|
| 114 |
+
"n_verified": 11,
|
| 115 |
+
"coh_verified": 0.7438671588897705,
|
| 116 |
+
"delta": 0.5533758848905563
|
| 117 |
+
},
|
| 118 |
+
"nat_to_int": {
|
| 119 |
+
"n_all": 204,
|
| 120 |
+
"coh_all": 0.09572257101535797,
|
| 121 |
+
"n_verified": 21,
|
| 122 |
+
"coh_verified": 0.4865734279155731,
|
| 123 |
+
"delta": 0.39085085690021515
|
| 124 |
+
},
|
| 125 |
+
"real_to_complex": {
|
| 126 |
+
"n_all": 169,
|
| 127 |
+
"coh_all": 0.14472059905529022,
|
| 128 |
+
"n_verified": 45,
|
| 129 |
+
"coh_verified": 0.6333882212638855,
|
| 130 |
+
"delta": 0.4886676222085953
|
| 131 |
+
},
|
| 132 |
+
"sInf_to_sSup": {
|
| 133 |
+
"n_all": 82,
|
| 134 |
+
"coh_all": 0.7039188146591187,
|
| 135 |
+
"n_verified": 20,
|
| 136 |
+
"coh_verified": 0.9110825657844543,
|
| 137 |
+
"delta": 0.2071637511253357
|
| 138 |
+
},
|
| 139 |
+
"set_to_finset": {
|
| 140 |
+
"n_all": 423,
|
| 141 |
+
"coh_all": 0.06761801987886429,
|
| 142 |
+
"n_verified": 39,
|
| 143 |
+
"coh_verified": 0.7255710959434509,
|
| 144 |
+
"delta": 0.6579530760645866
|
| 145 |
+
},
|
| 146 |
+
"sub_to_div": {
|
| 147 |
+
"n_all": 102,
|
| 148 |
+
"coh_all": 0.5421707034111023,
|
| 149 |
+
"n_verified": 16,
|
| 150 |
+
"coh_verified": 0.7555559873580933,
|
| 151 |
+
"delta": 0.21338528394699097
|
| 152 |
+
},
|
| 153 |
+
"sum_to_prod": {
|
| 154 |
+
"n_all": 107,
|
| 155 |
+
"coh_all": 0.6369704008102417,
|
| 156 |
+
"n_verified": 18,
|
| 157 |
+
"coh_verified": 0.8863644003868103,
|
| 158 |
+
"delta": 0.2493939995765686
|
| 159 |
+
},
|
| 160 |
+
"union_to_inter": {
|
| 161 |
+
"n_all": 138,
|
| 162 |
+
"coh_all": 0.6195301413536072,
|
| 163 |
+
"n_verified": 40,
|
| 164 |
+
"coh_verified": 0.8183731436729431,
|
| 165 |
+
"delta": 0.19884300231933594
|
| 166 |
+
},
|
| 167 |
+
"unprimed_to_primed": {
|
| 168 |
+
"n_all": 2902,
|
| 169 |
+
"coh_all": 0.03264104947447777,
|
| 170 |
+
"n_verified": 20,
|
| 171 |
+
"coh_verified": 0.11106020212173462,
|
| 172 |
+
"delta": 0.07841915264725685
|
| 173 |
+
},
|
| 174 |
+
"zero_to_one": {
|
| 175 |
+
"n_all": 536,
|
| 176 |
+
"coh_all": 0.5759629607200623,
|
| 177 |
+
"n_verified": 18,
|
| 178 |
+
"coh_verified": 0.5784786343574524,
|
| 179 |
+
"delta": 0.0025156736373901367
|
| 180 |
+
}
|
| 181 |
+
},
|
| 182 |
+
"spearman_precision_coherence": 0.6974418286352402,
|
| 183 |
+
"substitution_groups": {
|
| 184 |
+
"\u2264\u2192<": {
|
| 185 |
+
"n": 359,
|
| 186 |
+
"coherence": 0.6465957164764404,
|
| 187 |
+
"relation": 0.9133333333333333,
|
| 188 |
+
"plain": 0.44,
|
| 189 |
+
"lift": 0.47333333333333333
|
| 190 |
+
},
|
| 191 |
+
"+\u2192-": {
|
| 192 |
+
"n": 344,
|
| 193 |
+
"coherence": 0.8104976415634155,
|
| 194 |
+
"relation": 0.9466666666666667,
|
| 195 |
+
"plain": 0.17333333333333334,
|
| 196 |
+
"lift": 0.7733333333333333
|
| 197 |
+
},
|
| 198 |
+
"/\u2192*": {
|
| 199 |
+
"n": 156,
|
| 200 |
+
"coherence": 0.7627715468406677,
|
| 201 |
+
"relation": 0.8866666666666667,
|
| 202 |
+
"plain": 0.1,
|
| 203 |
+
"lift": 0.7866666666666667
|
| 204 |
+
},
|
| 205 |
+
"Ico\u2192Ioc": {
|
| 206 |
+
"n": 130,
|
| 207 |
+
"coherence": 0.7363911271095276,
|
| 208 |
+
"relation": 0.9153846153846154,
|
| 209 |
+
"plain": 0.13076923076923078,
|
| 210 |
+
"lift": 0.7846153846153846
|
| 211 |
+
},
|
| 212 |
+
"\u2124\u2192\u2115": {
|
| 213 |
+
"n": 114,
|
| 214 |
+
"coherence": 0.6709709167480469,
|
| 215 |
+
"relation": 0.9385964912280702,
|
| 216 |
+
"plain": 0.6491228070175439,
|
| 217 |
+
"lift": 0.2894736842105263
|
| 218 |
+
},
|
| 219 |
+
"=\u2192\u2264": {
|
| 220 |
+
"n": 108,
|
| 221 |
+
"coherence": 0.625053346157074,
|
| 222 |
+
"relation": 0.8240740740740741,
|
| 223 |
+
"plain": 0.25925925925925924,
|
| 224 |
+
"lift": 0.5648148148148149
|
| 225 |
+
},
|
| 226 |
+
"+\u2192*": {
|
| 227 |
+
"n": 106,
|
| 228 |
+
"coherence": 0.8378828763961792,
|
| 229 |
+
"relation": 0.9716981132075472,
|
| 230 |
+
"plain": 0.24528301886792453,
|
| 231 |
+
"lift": 0.7264150943396226
|
| 232 |
+
},
|
| 233 |
+
"Ico\u2192Ioo": {
|
| 234 |
+
"n": 106,
|
| 235 |
+
"coherence": 0.7531511187553406,
|
| 236 |
+
"relation": 0.9528301886792453,
|
| 237 |
+
"plain": 0.1509433962264151,
|
| 238 |
+
"lift": 0.8018867924528302
|
| 239 |
+
},
|
| 240 |
+
"Ioc\u2192Ioo": {
|
| 241 |
+
"n": 104,
|
| 242 |
+
"coherence": 0.7551076412200928,
|
| 243 |
+
"relation": 0.9326923076923077,
|
| 244 |
+
"plain": 0.19230769230769232,
|
| 245 |
+
"lift": 0.7403846153846154
|
| 246 |
+
},
|
| 247 |
+
"Icc\u2192Ioc": {
|
| 248 |
+
"n": 89,
|
| 249 |
+
"coherence": 0.7643096446990967,
|
| 250 |
+
"relation": 0.9775280898876404,
|
| 251 |
+
"plain": 0.07865168539325842,
|
| 252 |
+
"lift": 0.898876404494382
|
| 253 |
+
},
|
| 254 |
+
"Icc\u2192Ico": {
|
| 255 |
+
"n": 85,
|
| 256 |
+
"coherence": 0.7798579335212708,
|
| 257 |
+
"relation": 0.9529411764705882,
|
| 258 |
+
"plain": 0.32941176470588235,
|
| 259 |
+
"lift": 0.6235294117647059
|
| 260 |
+
},
|
| 261 |
+
"Icc\u2192Ioo": {
|
| 262 |
+
"n": 78,
|
| 263 |
+
"coherence": 0.7967496514320374,
|
| 264 |
+
"relation": 0.9871794871794872,
|
| 265 |
+
"plain": 0.10256410256410256,
|
| 266 |
+
"lift": 0.8846153846153847
|
| 267 |
+
},
|
| 268 |
+
"\u2115\u2192\u2124": {
|
| 269 |
+
"n": 72,
|
| 270 |
+
"coherence": 0.6865551471710205,
|
| 271 |
+
"relation": 0.9305555555555556,
|
| 272 |
+
"plain": 0.7638888888888888,
|
| 273 |
+
"lift": 0.16666666666666674
|
| 274 |
+
},
|
| 275 |
+
"=\u2192\u2260": {
|
| 276 |
+
"n": 66,
|
| 277 |
+
"coherence": 0.576621949672699,
|
| 278 |
+
"relation": 0.8636363636363636,
|
| 279 |
+
"plain": 0.24242424242424243,
|
| 280 |
+
"lift": 0.6212121212121212
|
| 281 |
+
},
|
| 282 |
+
"\u2293\u2192\u2294": {
|
| 283 |
+
"n": 59,
|
| 284 |
+
"coherence": 0.8434174060821533,
|
| 285 |
+
"relation": 0.9152542372881356,
|
| 286 |
+
"plain": 0.3559322033898305,
|
| 287 |
+
"lift": 0.5593220338983051
|
| 288 |
+
},
|
| 289 |
+
"=\u2192<": {
|
| 290 |
+
"n": 56,
|
| 291 |
+
"coherence": 0.6379469037055969,
|
| 292 |
+
"relation": 0.8571428571428571,
|
| 293 |
+
"plain": 0.125,
|
| 294 |
+
"lift": 0.7321428571428571
|
| 295 |
+
},
|
| 296 |
+
"\u22a5\u2192\u22a4": {
|
| 297 |
+
"n": 53,
|
| 298 |
+
"coherence": 0.7814294695854187,
|
| 299 |
+
"relation": 0.9811320754716981,
|
| 300 |
+
"plain": 0.32075471698113206,
|
| 301 |
+
"lift": 0.6603773584905661
|
| 302 |
+
},
|
| 303 |
+
"\u2102\u2192\u211d": {
|
| 304 |
+
"n": 53,
|
| 305 |
+
"coherence": 0.6165192723274231,
|
| 306 |
+
"relation": 0.8301886792452831,
|
| 307 |
+
"plain": 0.6792452830188679,
|
| 308 |
+
"lift": 0.15094339622641517
|
| 309 |
+
},
|
| 310 |
+
"Finset\u2192Set": {
|
| 311 |
+
"n": 53,
|
| 312 |
+
"coherence": 0.6760136485099792,
|
| 313 |
+
"relation": 0.9433962264150944,
|
| 314 |
+
"plain": 0.7358490566037735,
|
| 315 |
+
"lift": 0.20754716981132082
|
| 316 |
+
},
|
| 317 |
+
"\u22c2\u2192\u22c3": {
|
| 318 |
+
"n": 51,
|
| 319 |
+
"coherence": 0.7899659872055054,
|
| 320 |
+
"relation": 1.0,
|
| 321 |
+
"plain": 0.35294117647058826,
|
| 322 |
+
"lift": 0.6470588235294117
|
| 323 |
+
},
|
| 324 |
+
"*\u2192-": {
|
| 325 |
+
"n": 46,
|
| 326 |
+
"coherence": 0.7841173410415649,
|
| 327 |
+
"relation": 0.9782608695652174,
|
| 328 |
+
"plain": 0.06521739130434782,
|
| 329 |
+
"lift": 0.9130434782608696
|
| 330 |
+
},
|
| 331 |
+
"\u2a05\u2192\u2a06": {
|
| 332 |
+
"n": 46,
|
| 333 |
+
"coherence": 0.7938015460968018,
|
| 334 |
+
"relation": 1.0,
|
| 335 |
+
"plain": 0.8260869565217391,
|
| 336 |
+
"lift": 0.17391304347826086
|
| 337 |
+
},
|
| 338 |
+
"ball\u2192closedBall": {
|
| 339 |
+
"n": 45,
|
| 340 |
+
"coherence": 0.7377602458000183,
|
| 341 |
+
"relation": 0.9777777777777777,
|
| 342 |
+
"plain": 0.4666666666666667,
|
| 343 |
+
"lift": 0.5111111111111111
|
| 344 |
+
},
|
| 345 |
+
"*\u2192\u2022": {
|
| 346 |
+
"n": 43,
|
| 347 |
+
"coherence": 0.7493042349815369,
|
| 348 |
+
"relation": 0.9767441860465116,
|
| 349 |
+
"plain": 0.37209302325581395,
|
| 350 |
+
"lift": 0.6046511627906976
|
| 351 |
+
},
|
| 352 |
+
"atBot\u2192atTop": {
|
| 353 |
+
"n": 43,
|
| 354 |
+
"coherence": 0.8263787031173706,
|
| 355 |
+
"relation": 0.9767441860465116,
|
| 356 |
+
"plain": 0.5348837209302325,
|
| 357 |
+
"lift": 0.4418604651162791
|
| 358 |
+
},
|
| 359 |
+
"Ici\u2192Ioi": {
|
| 360 |
+
"n": 42,
|
| 361 |
+
"coherence": 0.7654850482940674,
|
| 362 |
+
"relation": 0.9523809523809523,
|
| 363 |
+
"plain": 0.23809523809523808,
|
| 364 |
+
"lift": 0.7142857142857142
|
| 365 |
+
},
|
| 366 |
+
"HasDerivAt\u2192HasStrictDerivAt": {
|
| 367 |
+
"n": 42,
|
| 368 |
+
"coherence": 0.8336697220802307,
|
| 369 |
+
"relation": 0.9761904761904762,
|
| 370 |
+
"plain": 0.19047619047619047,
|
| 371 |
+
"lift": 0.7857142857142857
|
| 372 |
+
},
|
| 373 |
+
"\u2229\u2192\u222a": {
|
| 374 |
+
"n": 40,
|
| 375 |
+
"coherence": 0.822482705116272,
|
| 376 |
+
"relation": 0.95,
|
| 377 |
+
"plain": 0.3,
|
| 378 |
+
"lift": 0.6499999999999999
|
| 379 |
+
},
|
| 380 |
+
"Subring\u2192Subsemiring": {
|
| 381 |
+
"n": 40,
|
| 382 |
+
"coherence": 0.825373649597168,
|
| 383 |
+
"relation": 1.0,
|
| 384 |
+
"plain": 0.975,
|
| 385 |
+
"lift": 0.025000000000000022
|
| 386 |
+
},
|
| 387 |
+
"HasFDerivAt\u2192HasStrictFDerivAt": {
|
| 388 |
+
"n": 39,
|
| 389 |
+
"coherence": 0.8143962621688843,
|
| 390 |
+
"relation": 0.9487179487179487,
|
| 391 |
+
"plain": 0.46153846153846156,
|
| 392 |
+
"lift": 0.4871794871794871
|
| 393 |
+
},
|
| 394 |
+
"degree\u2192natDegree": {
|
| 395 |
+
"n": 38,
|
| 396 |
+
"coherence": 0.665617048740387,
|
| 397 |
+
"relation": 1.0,
|
| 398 |
+
"plain": 0.8947368421052632,
|
| 399 |
+
"lift": 0.10526315789473684
|
| 400 |
+
},
|
| 401 |
+
"dist\u2192nndist": {
|
| 402 |
+
"n": 37,
|
| 403 |
+
"coherence": 0.7960576415061951,
|
| 404 |
+
"relation": 1.0,
|
| 405 |
+
"plain": 0.4594594594594595,
|
| 406 |
+
"lift": 0.5405405405405406
|
| 407 |
+
},
|
| 408 |
+
"<\u2192\u2264": {
|
| 409 |
+
"n": 36,
|
| 410 |
+
"coherence": 0.40801507234573364,
|
| 411 |
+
"relation": 0.6666666666666666,
|
| 412 |
+
"plain": 0.4722222222222222,
|
| 413 |
+
"lift": 0.19444444444444442
|
| 414 |
+
},
|
| 415 |
+
"Iic\u2192Iio": {
|
| 416 |
+
"n": 33,
|
| 417 |
+
"coherence": 0.8148989677429199,
|
| 418 |
+
"relation": 0.9393939393939394,
|
| 419 |
+
"plain": 0.18181818181818182,
|
| 420 |
+
"lift": 0.7575757575757576
|
| 421 |
+
},
|
| 422 |
+
"Monotone\u2192StrictMono": {
|
| 423 |
+
"n": 31,
|
| 424 |
+
"coherence": 0.7832505106925964,
|
| 425 |
+
"relation": 0.967741935483871,
|
| 426 |
+
"plain": 0.41935483870967744,
|
| 427 |
+
"lift": 0.5483870967741935
|
| 428 |
+
},
|
| 429 |
+
"dist\u2192edist": {
|
| 430 |
+
"n": 30,
|
| 431 |
+
"coherence": 0.7246049046516418,
|
| 432 |
+
"relation": 0.9333333333333333,
|
| 433 |
+
"plain": 0.5666666666666667,
|
| 434 |
+
"lift": 0.3666666666666667
|
| 435 |
+
},
|
| 436 |
+
"Injective\u2192Surjective": {
|
| 437 |
+
"n": 30,
|
| 438 |
+
"coherence": 0.8492690920829773,
|
| 439 |
+
"relation": 0.9666666666666667,
|
| 440 |
+
"plain": 0.13333333333333333,
|
| 441 |
+
"lift": 0.8333333333333334
|
| 442 |
+
},
|
| 443 |
+
"max\u2192min": {
|
| 444 |
+
"n": 29,
|
| 445 |
+
"coherence": 0.9426018595695496,
|
| 446 |
+
"relation": 1.0,
|
| 447 |
+
"plain": 0.20689655172413793,
|
| 448 |
+
"lift": 0.7931034482758621
|
| 449 |
+
},
|
| 450 |
+
"Ici\u2192Iic": {
|
| 451 |
+
"n": 28,
|
| 452 |
+
"coherence": 0.5957608819007874,
|
| 453 |
+
"relation": 0.9285714285714286,
|
| 454 |
+
"plain": 0.8928571428571429,
|
| 455 |
+
"lift": 0.0357142857142857
|
| 456 |
+
},
|
| 457 |
+
"\u2203\u2192\u2200": {
|
| 458 |
+
"n": 27,
|
| 459 |
+
"coherence": 0.7848517894744873,
|
| 460 |
+
"relation": 1.0,
|
| 461 |
+
"plain": 0.5185185185185185,
|
| 462 |
+
"lift": 0.4814814814814815
|
| 463 |
+
}
|
| 464 |
+
}
|
| 465 |
+
},
|
| 466 |
+
"e5_large": {
|
| 467 |
+
"floor": 2.350599243072793e-05,
|
| 468 |
+
"ab": {
|
| 469 |
+
"add_to_mul": {
|
| 470 |
+
"n_all": 434,
|
| 471 |
+
"coh_all": 0.4822538197040558,
|
| 472 |
+
"n_verified": 96,
|
| 473 |
+
"coh_verified": 0.7631449103355408,
|
| 474 |
+
"delta": 0.280891090631485
|
| 475 |
+
},
|
| 476 |
+
"bot_to_top": {
|
| 477 |
+
"n_all": 192,
|
| 478 |
+
"coh_all": 0.48669731616973877,
|
| 479 |
+
"n_verified": 42,
|
| 480 |
+
"coh_verified": 0.6894388198852539,
|
| 481 |
+
"delta": 0.20274150371551514
|
| 482 |
+
},
|
| 483 |
+
"finset_to_set": {
|
| 484 |
+
"n_all": 423,
|
| 485 |
+
"coh_all": 0.07716980576515198,
|
| 486 |
+
"n_verified": 39,
|
| 487 |
+
"coh_verified": 0.7707260847091675,
|
| 488 |
+
"delta": 0.6935562789440155
|
| 489 |
+
},
|
| 490 |
+
"fst_to_snd": {
|
| 491 |
+
"n_all": 296,
|
| 492 |
+
"coh_all": 0.7038806676864624,
|
| 493 |
+
"n_verified": 47,
|
| 494 |
+
"coh_verified": 0.8174880743026733,
|
| 495 |
+
"delta": 0.11360740661621094
|
| 496 |
+
},
|
| 497 |
+
"iInf_to_iSup": {
|
| 498 |
+
"n_all": 145,
|
| 499 |
+
"coh_all": 0.6514936685562134,
|
| 500 |
+
"n_verified": 39,
|
| 501 |
+
"coh_verified": 0.817909836769104,
|
| 502 |
+
"delta": 0.16641616821289062
|
| 503 |
+
},
|
| 504 |
+
"inf_to_sup": {
|
| 505 |
+
"n_all": 208,
|
| 506 |
+
"coh_all": 0.6312925219535828,
|
| 507 |
+
"n_verified": 62,
|
| 508 |
+
"coh_verified": 0.8222538232803345,
|
| 509 |
+
"delta": 0.1909613013267517
|
| 510 |
+
},
|
| 511 |
+
"injective_to_surjective": {
|
| 512 |
+
"n_all": 101,
|
| 513 |
+
"coh_all": 0.7218028903007507,
|
| 514 |
+
"n_verified": 45,
|
| 515 |
+
"coh_verified": 0.8800963163375854,
|
| 516 |
+
"delta": 0.15829342603683472
|
| 517 |
+
},
|
| 518 |
+
"inl_to_inr": {
|
| 519 |
+
"n_all": 166,
|
| 520 |
+
"coh_all": 0.4326772689819336,
|
| 521 |
+
"n_verified": 11,
|
| 522 |
+
"coh_verified": 0.7561802864074707,
|
| 523 |
+
"delta": 0.3235030174255371
|
| 524 |
+
},
|
| 525 |
+
"interior_to_closure": {
|
| 526 |
+
"n_all": 25,
|
| 527 |
+
"coh_all": 0.6777977347373962,
|
| 528 |
+
"n_verified": 14,
|
| 529 |
+
"coh_verified": 0.8487290740013123,
|
| 530 |
+
"delta": 0.17093133926391602
|
| 531 |
+
},
|
| 532 |
+
"isOpen_to_isClosed": {
|
| 533 |
+
"n_all": 34,
|
| 534 |
+
"coh_all": 0.6484023332595825,
|
| 535 |
+
"n_verified": 15,
|
| 536 |
+
"coh_verified": 0.8424046039581299,
|
| 537 |
+
"delta": 0.19400227069854736
|
| 538 |
+
},
|
| 539 |
+
"le_to_lt": {
|
| 540 |
+
"n_all": 785,
|
| 541 |
+
"coh_all": 0.4136693775653839,
|
| 542 |
+
"n_verified": 284,
|
| 543 |
+
"coh_verified": 0.6028161644935608,
|
| 544 |
+
"delta": 0.18914678692817688
|
| 545 |
+
},
|
| 546 |
+
"left_to_right": {
|
| 547 |
+
"n_all": 1900,
|
| 548 |
+
"coh_all": 0.4745333194732666,
|
| 549 |
+
"n_verified": 18,
|
| 550 |
+
"coh_verified": 0.6654923558235168,
|
| 551 |
+
"delta": 0.19095903635025024
|
| 552 |
+
},
|
| 553 |
+
"list_to_multiset": {
|
| 554 |
+
"n_all": 182,
|
| 555 |
+
"coh_all": 0.28757527470588684,
|
| 556 |
+
"n_verified": 9,
|
| 557 |
+
"coh_verified": 0.2795344591140747,
|
| 558 |
+
"delta": -0.008040815591812134
|
| 559 |
+
},
|
| 560 |
+
"map_to_comap": {
|
| 561 |
+
"n_all": 148,
|
| 562 |
+
"coh_all": 0.5341430306434631,
|
| 563 |
+
"n_verified": 11,
|
| 564 |
+
"coh_verified": 0.8058093190193176,
|
| 565 |
+
"delta": 0.2716662883758545
|
| 566 |
+
},
|
| 567 |
+
"min_to_max": {
|
| 568 |
+
"n_all": 83,
|
| 569 |
+
"coh_all": 0.7295923233032227,
|
| 570 |
+
"n_verified": 30,
|
| 571 |
+
"coh_verified": 0.8737574219703674,
|
| 572 |
+
"delta": 0.14416509866714478
|
| 573 |
+
},
|
| 574 |
+
"multiset_to_finset": {
|
| 575 |
+
"n_all": 241,
|
| 576 |
+
"coh_all": 0.18640351295471191,
|
| 577 |
+
"n_verified": 11,
|
| 578 |
+
"coh_verified": 0.6827372908592224,
|
| 579 |
+
"delta": 0.4963337779045105
|
| 580 |
+
},
|
| 581 |
+
"nat_to_int": {
|
| 582 |
+
"n_all": 204,
|
| 583 |
+
"coh_all": 0.025138190016150475,
|
| 584 |
+
"n_verified": 21,
|
| 585 |
+
"coh_verified": 0.10562224686145782,
|
| 586 |
+
"delta": 0.08048405684530735
|
| 587 |
+
},
|
| 588 |
+
"real_to_complex": {
|
| 589 |
+
"n_all": 169,
|
| 590 |
+
"coh_all": 0.11302293837070465,
|
| 591 |
+
"n_verified": 45,
|
| 592 |
+
"coh_verified": 0.6297206282615662,
|
| 593 |
+
"delta": 0.5166976898908615
|
| 594 |
+
},
|
| 595 |
+
"sInf_to_sSup": {
|
| 596 |
+
"n_all": 82,
|
| 597 |
+
"coh_all": 0.7137559056282043,
|
| 598 |
+
"n_verified": 20,
|
| 599 |
+
"coh_verified": 0.9035665392875671,
|
| 600 |
+
"delta": 0.1898106336593628
|
| 601 |
+
},
|
| 602 |
+
"set_to_finset": {
|
| 603 |
+
"n_all": 423,
|
| 604 |
+
"coh_all": 0.07495389133691788,
|
| 605 |
+
"n_verified": 39,
|
| 606 |
+
"coh_verified": 0.7707260847091675,
|
| 607 |
+
"delta": 0.6957721933722496
|
| 608 |
+
},
|
| 609 |
+
"sub_to_div": {
|
| 610 |
+
"n_all": 102,
|
| 611 |
+
"coh_all": 0.4193488359451294,
|
| 612 |
+
"n_verified": 16,
|
| 613 |
+
"coh_verified": 0.6554885506629944,
|
| 614 |
+
"delta": 0.236139714717865
|
| 615 |
+
},
|
| 616 |
+
"sum_to_prod": {
|
| 617 |
+
"n_all": 107,
|
| 618 |
+
"coh_all": 0.45830243825912476,
|
| 619 |
+
"n_verified": 18,
|
| 620 |
+
"coh_verified": 0.8170503973960876,
|
| 621 |
+
"delta": 0.3587479591369629
|
| 622 |
+
},
|
| 623 |
+
"union_to_inter": {
|
| 624 |
+
"n_all": 138,
|
| 625 |
+
"coh_all": 0.5352969169616699,
|
| 626 |
+
"n_verified": 40,
|
| 627 |
+
"coh_verified": 0.7454476356506348,
|
| 628 |
+
"delta": 0.21015071868896484
|
| 629 |
+
},
|
| 630 |
+
"unprimed_to_primed": {
|
| 631 |
+
"n_all": 2902,
|
| 632 |
+
"coh_all": 0.055043112486600876,
|
| 633 |
+
"n_verified": 20,
|
| 634 |
+
"coh_verified": 0.11715192347764969,
|
| 635 |
+
"delta": 0.06210881099104881
|
| 636 |
+
},
|
| 637 |
+
"zero_to_one": {
|
| 638 |
+
"n_all": 536,
|
| 639 |
+
"coh_all": 0.5011156797409058,
|
| 640 |
+
"n_verified": 18,
|
| 641 |
+
"coh_verified": 0.47756505012512207,
|
| 642 |
+
"delta": -0.02355062961578369
|
| 643 |
+
}
|
| 644 |
+
},
|
| 645 |
+
"spearman_precision_coherence": 0.5989613497987143,
|
| 646 |
+
"substitution_groups": {
|
| 647 |
+
"\u2264\u2192<": {
|
| 648 |
+
"n": 359,
|
| 649 |
+
"coherence": 0.48619017004966736,
|
| 650 |
+
"relation": 0.8266666666666667,
|
| 651 |
+
"plain": 0.4666666666666667,
|
| 652 |
+
"lift": 0.36
|
| 653 |
+
},
|
| 654 |
+
"+\u2192-": {
|
| 655 |
+
"n": 344,
|
| 656 |
+
"coherence": 0.7670065760612488,
|
| 657 |
+
"relation": 0.9533333333333334,
|
| 658 |
+
"plain": 0.38,
|
| 659 |
+
"lift": 0.5733333333333334
|
| 660 |
+
},
|
| 661 |
+
"/\u2192*": {
|
| 662 |
+
"n": 156,
|
| 663 |
+
"coherence": 0.7070245742797852,
|
| 664 |
+
"relation": 0.8266666666666667,
|
| 665 |
+
"plain": 0.26666666666666666,
|
| 666 |
+
"lift": 0.56
|
| 667 |
+
},
|
| 668 |
+
"Ico\u2192Ioc": {
|
| 669 |
+
"n": 130,
|
| 670 |
+
"coherence": 0.8087640404701233,
|
| 671 |
+
"relation": 0.9076923076923077,
|
| 672 |
+
"plain": 0.15384615384615385,
|
| 673 |
+
"lift": 0.7538461538461538
|
| 674 |
+
},
|
| 675 |
+
"\u2124\u2192\u2115": {
|
| 676 |
+
"n": 114,
|
| 677 |
+
"coherence": 0.4371128976345062,
|
| 678 |
+
"relation": 0.9210526315789473,
|
| 679 |
+
"plain": 0.6491228070175439,
|
| 680 |
+
"lift": 0.27192982456140347
|
| 681 |
+
},
|
| 682 |
+
"=\u2192\u2264": {
|
| 683 |
+
"n": 108,
|
| 684 |
+
"coherence": 0.49171721935272217,
|
| 685 |
+
"relation": 0.8888888888888888,
|
| 686 |
+
"plain": 0.49074074074074076,
|
| 687 |
+
"lift": 0.3981481481481481
|
| 688 |
+
},
|
| 689 |
+
"+\u2192*": {
|
| 690 |
+
"n": 106,
|
| 691 |
+
"coherence": 0.726822555065155,
|
| 692 |
+
"relation": 0.9245283018867925,
|
| 693 |
+
"plain": 0.49056603773584906,
|
| 694 |
+
"lift": 0.4339622641509434
|
| 695 |
+
},
|
| 696 |
+
"Ico\u2192Ioo": {
|
| 697 |
+
"n": 106,
|
| 698 |
+
"coherence": 0.8073529005050659,
|
| 699 |
+
"relation": 0.9433962264150944,
|
| 700 |
+
"plain": 0.41509433962264153,
|
| 701 |
+
"lift": 0.5283018867924528
|
| 702 |
+
},
|
| 703 |
+
"Ioc\u2192Ioo": {
|
| 704 |
+
"n": 104,
|
| 705 |
+
"coherence": 0.8068601489067078,
|
| 706 |
+
"relation": 0.9326923076923077,
|
| 707 |
+
"plain": 0.36538461538461536,
|
| 708 |
+
"lift": 0.5673076923076923
|
| 709 |
+
},
|
| 710 |
+
"Icc\u2192Ioc": {
|
| 711 |
+
"n": 89,
|
| 712 |
+
"coherence": 0.8757834434509277,
|
| 713 |
+
"relation": 0.9550561797752809,
|
| 714 |
+
"plain": 0.33707865168539325,
|
| 715 |
+
"lift": 0.6179775280898876
|
| 716 |
+
},
|
| 717 |
+
"Icc\u2192Ico": {
|
| 718 |
+
"n": 85,
|
| 719 |
+
"coherence": 0.8453145623207092,
|
| 720 |
+
"relation": 0.9411764705882353,
|
| 721 |
+
"plain": 0.10588235294117647,
|
| 722 |
+
"lift": 0.8352941176470589
|
| 723 |
+
},
|
| 724 |
+
"Icc\u2192Ioo": {
|
| 725 |
+
"n": 78,
|
| 726 |
+
"coherence": 0.8895298838615417,
|
| 727 |
+
"relation": 0.9743589743589743,
|
| 728 |
+
"plain": 0.0641025641025641,
|
| 729 |
+
"lift": 0.9102564102564102
|
| 730 |
+
},
|
| 731 |
+
"\u2115\u2192\u2124": {
|
| 732 |
+
"n": 72,
|
| 733 |
+
"coherence": 0.5176446437835693,
|
| 734 |
+
"relation": 0.9166666666666666,
|
| 735 |
+
"plain": 0.5972222222222222,
|
| 736 |
+
"lift": 0.3194444444444444
|
| 737 |
+
},
|
| 738 |
+
"=\u2192\u2260": {
|
| 739 |
+
"n": 66,
|
| 740 |
+
"coherence": 0.5264987349510193,
|
| 741 |
+
"relation": 0.8181818181818182,
|
| 742 |
+
"plain": 0.3333333333333333,
|
| 743 |
+
"lift": 0.4848484848484849
|
| 744 |
+
},
|
| 745 |
+
"\u2293\u2192\u2294": {
|
| 746 |
+
"n": 59,
|
| 747 |
+
"coherence": 0.8000405430793762,
|
| 748 |
+
"relation": 0.8983050847457628,
|
| 749 |
+
"plain": 0.711864406779661,
|
| 750 |
+
"lift": 0.18644067796610175
|
| 751 |
+
},
|
| 752 |
+
"=\u2192<": {
|
| 753 |
+
"n": 56,
|
| 754 |
+
"coherence": 0.5411009788513184,
|
| 755 |
+
"relation": 0.8392857142857143,
|
| 756 |
+
"plain": 0.10714285714285714,
|
| 757 |
+
"lift": 0.7321428571428572
|
| 758 |
+
},
|
| 759 |
+
"\u22a5\u2192\u22a4": {
|
| 760 |
+
"n": 53,
|
| 761 |
+
"coherence": 0.5864933729171753,
|
| 762 |
+
"relation": 0.9811320754716981,
|
| 763 |
+
"plain": 0.7547169811320755,
|
| 764 |
+
"lift": 0.2264150943396226
|
| 765 |
+
},
|
| 766 |
+
"\u2102\u2192\u211d": {
|
| 767 |
+
"n": 53,
|
| 768 |
+
"coherence": 0.5640135407447815,
|
| 769 |
+
"relation": 0.9056603773584906,
|
| 770 |
+
"plain": 0.6415094339622641,
|
| 771 |
+
"lift": 0.26415094339622647
|
| 772 |
+
},
|
| 773 |
+
"Finset\u2192Set": {
|
| 774 |
+
"n": 53,
|
| 775 |
+
"coherence": 0.7394764423370361,
|
| 776 |
+
"relation": 0.9245283018867925,
|
| 777 |
+
"plain": 0.2830188679245283,
|
| 778 |
+
"lift": 0.6415094339622642
|
| 779 |
+
},
|
| 780 |
+
"\u22c2\u2192\u22c3": {
|
| 781 |
+
"n": 51,
|
| 782 |
+
"coherence": 0.5189153552055359,
|
| 783 |
+
"relation": 0.9019607843137255,
|
| 784 |
+
"plain": 0.6666666666666666,
|
| 785 |
+
"lift": 0.23529411764705888
|
| 786 |
+
},
|
| 787 |
+
"*\u2192-": {
|
| 788 |
+
"n": 46,
|
| 789 |
+
"coherence": 0.746860146522522,
|
| 790 |
+
"relation": 0.9782608695652174,
|
| 791 |
+
"plain": 0.1956521739130435,
|
| 792 |
+
"lift": 0.782608695652174
|
| 793 |
+
},
|
| 794 |
+
"\u2a05\u2192\u2a06": {
|
| 795 |
+
"n": 46,
|
| 796 |
+
"coherence": 0.6639409065246582,
|
| 797 |
+
"relation": 1.0,
|
| 798 |
+
"plain": 0.7391304347826086,
|
| 799 |
+
"lift": 0.26086956521739135
|
| 800 |
+
},
|
| 801 |
+
"ball\u2192closedBall": {
|
| 802 |
+
"n": 45,
|
| 803 |
+
"coherence": 0.7699567079544067,
|
| 804 |
+
"relation": 0.8888888888888888,
|
| 805 |
+
"plain": 0.35555555555555557,
|
| 806 |
+
"lift": 0.5333333333333332
|
| 807 |
+
},
|
| 808 |
+
"*\u2192\u2022": {
|
| 809 |
+
"n": 43,
|
| 810 |
+
"coherence": 0.8292984962463379,
|
| 811 |
+
"relation": 0.9767441860465116,
|
| 812 |
+
"plain": 0.27906976744186046,
|
| 813 |
+
"lift": 0.6976744186046511
|
| 814 |
+
},
|
| 815 |
+
"atBot\u2192atTop": {
|
| 816 |
+
"n": 43,
|
| 817 |
+
"coherence": 0.7942320108413696,
|
| 818 |
+
"relation": 0.9767441860465116,
|
| 819 |
+
"plain": 0.5348837209302325,
|
| 820 |
+
"lift": 0.4418604651162791
|
| 821 |
+
},
|
| 822 |
+
"Ici\u2192Ioi": {
|
| 823 |
+
"n": 42,
|
| 824 |
+
"coherence": 0.8466202616691589,
|
| 825 |
+
"relation": 0.9523809523809523,
|
| 826 |
+
"plain": 0.8095238095238095,
|
| 827 |
+
"lift": 0.1428571428571428
|
| 828 |
+
},
|
| 829 |
+
"HasDerivAt\u2192HasStrictDerivAt": {
|
| 830 |
+
"n": 42,
|
| 831 |
+
"coherence": 0.8288893103599548,
|
| 832 |
+
"relation": 0.9761904761904762,
|
| 833 |
+
"plain": 0.19047619047619047,
|
| 834 |
+
"lift": 0.7857142857142857
|
| 835 |
+
},
|
| 836 |
+
"\u2229\u2192\u222a": {
|
| 837 |
+
"n": 40,
|
| 838 |
+
"coherence": 0.7474983334541321,
|
| 839 |
+
"relation": 0.925,
|
| 840 |
+
"plain": 0.625,
|
| 841 |
+
"lift": 0.30000000000000004
|
| 842 |
+
},
|
| 843 |
+
"Subring\u2192Subsemiring": {
|
| 844 |
+
"n": 40,
|
| 845 |
+
"coherence": 0.8345739841461182,
|
| 846 |
+
"relation": 1.0,
|
| 847 |
+
"plain": 0.65,
|
| 848 |
+
"lift": 0.35
|
| 849 |
+
},
|
| 850 |
+
"HasFDerivAt\u2192HasStrictFDerivAt": {
|
| 851 |
+
"n": 39,
|
| 852 |
+
"coherence": 0.8387573957443237,
|
| 853 |
+
"relation": 0.9487179487179487,
|
| 854 |
+
"plain": 0.23076923076923078,
|
| 855 |
+
"lift": 0.7179487179487178
|
| 856 |
+
},
|
| 857 |
+
"degree\u2192natDegree": {
|
| 858 |
+
"n": 38,
|
| 859 |
+
"coherence": 0.8151981234550476,
|
| 860 |
+
"relation": 1.0,
|
| 861 |
+
"plain": 0.3157894736842105,
|
| 862 |
+
"lift": 0.6842105263157895
|
| 863 |
+
},
|
| 864 |
+
"dist\u2192nndist": {
|
| 865 |
+
"n": 37,
|
| 866 |
+
"coherence": 0.8908321261405945,
|
| 867 |
+
"relation": 1.0,
|
| 868 |
+
"plain": 0.1891891891891892,
|
| 869 |
+
"lift": 0.8108108108108107
|
| 870 |
+
},
|
| 871 |
+
"<\u2192\u2264": {
|
| 872 |
+
"n": 36,
|
| 873 |
+
"coherence": 0.28637152910232544,
|
| 874 |
+
"relation": 0.5833333333333334,
|
| 875 |
+
"plain": 0.3333333333333333,
|
| 876 |
+
"lift": 0.25000000000000006
|
| 877 |
+
},
|
| 878 |
+
"Iic\u2192Iio": {
|
| 879 |
+
"n": 33,
|
| 880 |
+
"coherence": 0.7874578237533569,
|
| 881 |
+
"relation": 0.9393939393939394,
|
| 882 |
+
"plain": 0.7575757575757576,
|
| 883 |
+
"lift": 0.18181818181818188
|
| 884 |
+
},
|
| 885 |
+
"Monotone\u2192StrictMono": {
|
| 886 |
+
"n": 31,
|
| 887 |
+
"coherence": 0.8461023569107056,
|
| 888 |
+
"relation": 1.0,
|
| 889 |
+
"plain": 0.16129032258064516,
|
| 890 |
+
"lift": 0.8387096774193549
|
| 891 |
+
},
|
| 892 |
+
"dist\u2192edist": {
|
| 893 |
+
"n": 30,
|
| 894 |
+
"coherence": 0.8355993628501892,
|
| 895 |
+
"relation": 0.9666666666666667,
|
| 896 |
+
"plain": 0.3333333333333333,
|
| 897 |
+
"lift": 0.6333333333333333
|
| 898 |
+
},
|
| 899 |
+
"Injective\u2192Surjective": {
|
| 900 |
+
"n": 30,
|
| 901 |
+
"coherence": 0.835148274898529,
|
| 902 |
+
"relation": 0.9666666666666667,
|
| 903 |
+
"plain": 0.43333333333333335,
|
| 904 |
+
"lift": 0.5333333333333333
|
| 905 |
+
},
|
| 906 |
+
"max\u2192min": {
|
| 907 |
+
"n": 29,
|
| 908 |
+
"coherence": 0.8703583478927612,
|
| 909 |
+
"relation": 1.0,
|
| 910 |
+
"plain": 0.5862068965517241,
|
| 911 |
+
"lift": 0.4137931034482759
|
| 912 |
+
},
|
| 913 |
+
"Ici\u2192Iic": {
|
| 914 |
+
"n": 28,
|
| 915 |
+
"coherence": 0.8490850925445557,
|
| 916 |
+
"relation": 1.0,
|
| 917 |
+
"plain": 0.25,
|
| 918 |
+
"lift": 0.75
|
| 919 |
+
},
|
| 920 |
+
"\u2203\u2192\u2200": {
|
| 921 |
+
"n": 27,
|
| 922 |
+
"coherence": 0.7297785878181458,
|
| 923 |
+
"relation": 1.0,
|
| 924 |
+
"plain": 0.5555555555555556,
|
| 925 |
+
"lift": 0.4444444444444444
|
| 926 |
+
}
|
| 927 |
+
}
|
| 928 |
+
}
|
| 929 |
+
},
|
| 930 |
+
"n_verified": 7731,
|
| 931 |
+
"rule_precision": {
|
| 932 |
+
"add_to_mul": {
|
| 933 |
+
"n": 434,
|
| 934 |
+
"verified": 96,
|
| 935 |
+
"precision": 0.22119815668202766
|
| 936 |
+
},
|
| 937 |
+
"bot_to_top": {
|
| 938 |
+
"n": 192,
|
| 939 |
+
"verified": 42,
|
| 940 |
+
"precision": 0.21875
|
| 941 |
+
},
|
| 942 |
+
"filter_to_set": {
|
| 943 |
+
"n": 31,
|
| 944 |
+
"verified": 0,
|
| 945 |
+
"precision": 0.0
|
| 946 |
+
},
|
| 947 |
+
"finite_to_infinite": {
|
| 948 |
+
"n": 12,
|
| 949 |
+
"verified": 1,
|
| 950 |
+
"precision": 0.08333333333333333
|
| 951 |
+
},
|
| 952 |
+
"finset_to_set": {
|
| 953 |
+
"n": 423,
|
| 954 |
+
"verified": 39,
|
| 955 |
+
"precision": 0.09219858156028368
|
| 956 |
+
},
|
| 957 |
+
"fst_to_snd": {
|
| 958 |
+
"n": 296,
|
| 959 |
+
"verified": 47,
|
| 960 |
+
"precision": 0.15878378378378377
|
| 961 |
+
},
|
| 962 |
+
"head_to_tail": {
|
| 963 |
+
"n": 35,
|
| 964 |
+
"verified": 4,
|
| 965 |
+
"precision": 0.11428571428571428
|
| 966 |
+
},
|
| 967 |
+
"iInf_to_iSup": {
|
| 968 |
+
"n": 145,
|
| 969 |
+
"verified": 39,
|
| 970 |
+
"precision": 0.2689655172413793
|
| 971 |
+
},
|
| 972 |
+
"image_to_preimage": {
|
| 973 |
+
"n": 180,
|
| 974 |
+
"verified": 2,
|
| 975 |
+
"precision": 0.011111111111111112
|
| 976 |
+
},
|
| 977 |
+
"inf_to_sup": {
|
| 978 |
+
"n": 208,
|
| 979 |
+
"verified": 62,
|
| 980 |
+
"precision": 0.2980769230769231
|
| 981 |
+
},
|
| 982 |
+
"injective_to_surjective": {
|
| 983 |
+
"n": 101,
|
| 984 |
+
"verified": 45,
|
| 985 |
+
"precision": 0.44554455445544555
|
| 986 |
+
},
|
| 987 |
+
"inl_to_inr": {
|
| 988 |
+
"n": 166,
|
| 989 |
+
"verified": 11,
|
| 990 |
+
"precision": 0.06626506024096386
|
| 991 |
+
},
|
| 992 |
+
"insert_to_erase": {
|
| 993 |
+
"n": 40,
|
| 994 |
+
"verified": 0,
|
| 995 |
+
"precision": 0.0
|
| 996 |
+
},
|
| 997 |
+
"interior_to_closure": {
|
| 998 |
+
"n": 25,
|
| 999 |
+
"verified": 14,
|
| 1000 |
+
"precision": 0.56
|
| 1001 |
+
},
|
| 1002 |
+
"isOpen_to_isClosed": {
|
| 1003 |
+
"n": 34,
|
| 1004 |
+
"verified": 15,
|
| 1005 |
+
"precision": 0.4411764705882353
|
| 1006 |
+
},
|
| 1007 |
+
"le_to_lt": {
|
| 1008 |
+
"n": 785,
|
| 1009 |
+
"verified": 284,
|
| 1010 |
+
"precision": 0.36178343949044584
|
| 1011 |
+
},
|
| 1012 |
+
"left_to_right": {
|
| 1013 |
+
"n": 1900,
|
| 1014 |
+
"verified": 18,
|
| 1015 |
+
"precision": 0.009473684210526316
|
| 1016 |
+
},
|
| 1017 |
+
"liminf_to_limsup": {
|
| 1018 |
+
"n": 21,
|
| 1019 |
+
"verified": 6,
|
| 1020 |
+
"precision": 0.2857142857142857
|
| 1021 |
+
},
|
| 1022 |
+
"list_to_multiset": {
|
| 1023 |
+
"n": 182,
|
| 1024 |
+
"verified": 9,
|
| 1025 |
+
"precision": 0.04945054945054945
|
| 1026 |
+
},
|
| 1027 |
+
"lt_to_gt": {
|
| 1028 |
+
"n": 43,
|
| 1029 |
+
"verified": 2,
|
| 1030 |
+
"precision": 0.046511627906976744
|
| 1031 |
+
},
|
| 1032 |
+
"map_to_comap": {
|
| 1033 |
+
"n": 148,
|
| 1034 |
+
"verified": 11,
|
| 1035 |
+
"precision": 0.07432432432432433
|
| 1036 |
+
},
|
| 1037 |
+
"mem_to_notMem": {
|
| 1038 |
+
"n": 58,
|
| 1039 |
+
"verified": 2,
|
| 1040 |
+
"precision": 0.034482758620689655
|
| 1041 |
+
},
|
| 1042 |
+
"min_to_max": {
|
| 1043 |
+
"n": 83,
|
| 1044 |
+
"verified": 30,
|
| 1045 |
+
"precision": 0.3614457831325301
|
| 1046 |
+
},
|
| 1047 |
+
"mono_to_antitone": {
|
| 1048 |
+
"n": 28,
|
| 1049 |
+
"verified": 5,
|
| 1050 |
+
"precision": 0.17857142857142858
|
| 1051 |
+
},
|
| 1052 |
+
"multiset_to_finset": {
|
| 1053 |
+
"n": 241,
|
| 1054 |
+
"verified": 11,
|
| 1055 |
+
"precision": 0.04564315352697095
|
| 1056 |
+
},
|
| 1057 |
+
"nat_to_int": {
|
| 1058 |
+
"n": 204,
|
| 1059 |
+
"verified": 21,
|
| 1060 |
+
"precision": 0.10294117647058823
|
| 1061 |
+
},
|
| 1062 |
+
"neg_to_inv": {
|
| 1063 |
+
"n": 77,
|
| 1064 |
+
"verified": 0,
|
| 1065 |
+
"precision": 0.0
|
| 1066 |
+
},
|
| 1067 |
+
"nnreal_to_ennreal": {
|
| 1068 |
+
"n": 103,
|
| 1069 |
+
"verified": 0,
|
| 1070 |
+
"precision": 0.0
|
| 1071 |
+
},
|
| 1072 |
+
"pos_to_neg": {
|
| 1073 |
+
"n": 130,
|
| 1074 |
+
"verified": 1,
|
| 1075 |
+
"precision": 0.007692307692307693
|
| 1076 |
+
},
|
| 1077 |
+
"real_to_complex": {
|
| 1078 |
+
"n": 169,
|
| 1079 |
+
"verified": 45,
|
| 1080 |
+
"precision": 0.26627218934911245
|
| 1081 |
+
},
|
| 1082 |
+
"sInf_to_sSup": {
|
| 1083 |
+
"n": 82,
|
| 1084 |
+
"verified": 20,
|
| 1085 |
+
"precision": 0.24390243902439024
|
| 1086 |
+
},
|
| 1087 |
+
"set_to_finset": {
|
| 1088 |
+
"n": 423,
|
| 1089 |
+
"verified": 39,
|
| 1090 |
+
"precision": 0.09219858156028368
|
| 1091 |
+
},
|
| 1092 |
+
"sub_to_div": {
|
| 1093 |
+
"n": 102,
|
| 1094 |
+
"verified": 16,
|
| 1095 |
+
"precision": 0.1568627450980392
|
| 1096 |
+
},
|
| 1097 |
+
"succ_to_pred": {
|
| 1098 |
+
"n": 53,
|
| 1099 |
+
"verified": 7,
|
| 1100 |
+
"precision": 0.1320754716981132
|
| 1101 |
+
},
|
| 1102 |
+
"sum_to_prod": {
|
| 1103 |
+
"n": 107,
|
| 1104 |
+
"verified": 18,
|
| 1105 |
+
"precision": 0.16822429906542055
|
| 1106 |
+
},
|
| 1107 |
+
"union_to_inter": {
|
| 1108 |
+
"n": 138,
|
| 1109 |
+
"verified": 40,
|
| 1110 |
+
"precision": 0.2898550724637681
|
| 1111 |
+
},
|
| 1112 |
+
"unprimed_to_primed": {
|
| 1113 |
+
"n": 2902,
|
| 1114 |
+
"verified": 20,
|
| 1115 |
+
"precision": 0.006891798759476223
|
| 1116 |
+
},
|
| 1117 |
+
"zero_to_one": {
|
| 1118 |
+
"n": 536,
|
| 1119 |
+
"verified": 18,
|
| 1120 |
+
"precision": 0.033582089552238806
|
| 1121 |
+
}
|
| 1122 |
+
}
|
| 1123 |
+
}
|