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| {"case_id":"balanced_half-001","case_json":"{\"canonical_baseline\":21,\"canonical_orders\":8,\"contraction\":\"1/2\",\"dimension\":4,\"minimum_noncanonical_penalty_excess\":\"225/16\",\"minimum_unscaled_objective\":\"22\",\"normalization_R\":\"320\",\"normalized_decision_gap\":\"1/102400\",\"orders_enumerated\":720,\"partition_exists\":false,\"requests\":6,\"values\":[1,1,3]}","contains_float_diagnostics":false,"family":"balanced_half","observed_dimension":-1,"orders_checked":720,"request_count":6,"rho":"1/2","source_collection":"fixed_contraction_cases","source_index":1,"source_record":"verification/verification_results.json","state_dimension":4,"theorem_reference":"1.3","variation_rank":-1} |
| {"case_id":"balanced_half-002","case_json":"{\"canonical_baseline\":85,\"canonical_orders\":16,\"contraction\":\"1/2\",\"dimension\":5,\"minimum_noncanonical_penalty_excess\":\"225/16\",\"minimum_unscaled_objective\":\"85\",\"normalization_R\":\"2304\",\"normalized_decision_gap\":\"1/5308416\",\"orders_enumerated\":40320,\"partition_exists\":true,\"requests\":8,\"values\":[1,2,3,4]}","contains_float_diagnostics":false,"family":"balanced_half","observed_dimension":-1,"orders_checked":40320,"request_count":8,"rho":"1/2","source_collection":"fixed_contraction_cases","source_index":2,"source_record":"verification/verification_results.json","state_dimension":5,"theorem_reference":"1.3","variation_rank":-1} |
| {"case_id":"balanced_half-003","case_json":"{\"canonical_baseline\":85,\"canonical_orders\":16,\"contraction\":\"1/2\",\"dimension\":5,\"minimum_noncanonical_penalty_excess\":\"225/16\",\"minimum_unscaled_objective\":\"86\",\"normalization_R\":\"2304\",\"normalized_decision_gap\":\"1/5308416\",\"orders_enumerated\":40320,\"partition_exists\":false,\"requests\":8,\"values\":[1,2,4,8]}","contains_float_diagnostics":false,"family":"balanced_half","observed_dimension":-1,"orders_checked":40320,"request_count":8,"rho":"1/2","source_collection":"fixed_contraction_cases","source_index":3,"source_record":"verification/verification_results.json","state_dimension":5,"theorem_reference":"1.3","variation_rank":-1} |
| {"case_id":"balanced_general_rho-000","case_json":"{\"C\":1,\"K\":2,\"baseline\":21,\"minimum_objective\":\"21\",\"orders_enumerated\":720,\"partition_exists\":true,\"rho\":\"1/3\",\"values\":[1,2,3]}","contains_float_diagnostics":false,"family":"balanced_general_rho","observed_dimension":-1,"orders_checked":720,"request_count":6,"rho":"1/3","source_collection":"general_rho_cases","source_index":0,"source_record":"verification/verification_results.json","state_dimension":-1,"theorem_reference":"1.3","variation_rank":-1} |
| {"case_id":"balanced_general_rho-001","case_json":"{\"C\":1,\"K\":2,\"baseline\":21,\"minimum_objective\":\"22\",\"orders_enumerated\":720,\"partition_exists\":false,\"rho\":\"1/3\",\"values\":[1,1,3]}","contains_float_diagnostics":false,"family":"balanced_general_rho","observed_dimension":-1,"orders_checked":720,"request_count":6,"rho":"1/3","source_collection":"general_rho_cases","source_index":1,"source_record":"verification/verification_results.json","state_dimension":-1,"theorem_reference":"1.3","variation_rank":-1} |
| {"case_id":"balanced_general_rho-002","case_json":"{\"C\":2,\"K\":3,\"baseline\":364,\"minimum_objective\":\"364\",\"orders_enumerated\":720,\"partition_exists\":true,\"rho\":\"2/3\",\"values\":[1,2,3]}","contains_float_diagnostics":false,"family":"balanced_general_rho","observed_dimension":-1,"orders_checked":720,"request_count":6,"rho":"2/3","source_collection":"general_rho_cases","source_index":2,"source_record":"verification/verification_results.json","state_dimension":-1,"theorem_reference":"1.3","variation_rank":-1} |
| {"case_id":"balanced_general_rho-003","case_json":"{\"C\":2,\"K\":3,\"baseline\":364,\"minimum_objective\":\"365\",\"orders_enumerated\":720,\"partition_exists\":false,\"rho\":\"2/3\",\"values\":[1,1,3]}","contains_float_diagnostics":false,"family":"balanced_general_rho","observed_dimension":-1,"orders_checked":720,"request_count":6,"rho":"2/3","source_collection":"general_rho_cases","source_index":3,"source_record":"verification/verification_results.json","state_dimension":-1,"theorem_reference":"1.3","variation_rank":-1} |
| {"case_id":"balanced_general_rho-004","case_json":"{\"C\":5,\"K\":5,\"baseline\":16275,\"minimum_objective\":\"16275\",\"orders_enumerated\":720,\"partition_exists\":true,\"rho\":\"9/10\",\"values\":[1,2,3]}","contains_float_diagnostics":false,"family":"balanced_general_rho","observed_dimension":-1,"orders_checked":720,"request_count":6,"rho":"9/10","source_collection":"general_rho_cases","source_index":4,"source_record":"verification/verification_results.json","state_dimension":-1,"theorem_reference":"1.3","variation_rank":-1} |
| {"case_id":"balanced_general_rho-005","case_json":"{\"C\":5,\"K\":5,\"baseline\":16275,\"minimum_objective\":\"16276\",\"orders_enumerated\":720,\"partition_exists\":false,\"rho\":\"9/10\",\"values\":[1,1,3]}","contains_float_diagnostics":false,"family":"balanced_general_rho","observed_dimension":-1,"orders_checked":720,"request_count":6,"rho":"9/10","source_collection":"general_rho_cases","source_index":5,"source_record":"verification/verification_results.json","state_dimension":-1,"theorem_reference":"1.3","variation_rank":-1} |
| {"case_id":"stochastic_and_spd-000","case_json":"{\"B\":20,\"N\":7,\"distinct_matrix_orders\":105,\"modes\":{\"2\":{\"normalized_gap_log10\":-50.60156100150975,\"partition_exists\":true,\"raw_minimum\":\"1099513724929\",\"raw_threshold\":\"1099513724929\",\"regularized_minimum_below_threshold\":true},\"3\":{\"normalized_gap_log10\":-52.10671097982966,\"partition_exists\":true,\"raw_minimum\":\"4398071676964\",\"raw_threshold\":\"4398071676964\",\"regularized_minimum_below_threshold\":true}},\"values\":[6,6,6,6,8,8]}","contains_float_diagnostics":true,"family":"stochastic_and_spd","observed_dimension":-1,"orders_checked":105,"request_count":7,"rho":"","source_collection":"markov_and_spd_cases","source_index":0,"source_record":"verification/verification_results.json","state_dimension":-1,"theorem_reference":"15.1","variation_rank":-1} |
| {"case_id":"stochastic_and_spd-001","case_json":"{\"B\":20,\"N\":7,\"distinct_matrix_orders\":210,\"modes\":{\"2\":{\"normalized_gap_log10\":-50.60156100150975,\"partition_exists\":false,\"raw_minimum\":\"1099514249217\",\"raw_threshold\":\"1099513724929\",\"regularized_minimum_below_threshold\":false},\"3\":{\"normalized_gap_log10\":-52.10671097982966,\"partition_exists\":false,\"raw_minimum\":\"4398077968420\",\"raw_threshold\":\"4398071676964\",\"regularized_minimum_below_threshold\":false}},\"values\":[6,6,6,6,7,9]}","contains_float_diagnostics":true,"family":"stochastic_and_spd","observed_dimension":-1,"orders_checked":210,"request_count":7,"rho":"","source_collection":"markov_and_spd_cases","source_index":1,"source_record":"verification/verification_results.json","state_dimension":-1,"theorem_reference":"15.1","variation_rank":-1} |
| {"case_id":"stochastic_and_spd-002","case_json":"{\"B\":9,\"N\":3,\"distinct_matrix_orders\":1,\"modes\":{\"2\":{\"normalized_gap_log10\":-12.270985820470266,\"partition_exists\":true,\"raw_minimum\":\"513\",\"raw_threshold\":\"513\",\"regularized_minimum_below_threshold\":true},\"3\":{\"normalized_gap_log10\":-13.776135798790172,\"partition_exists\":true,\"raw_minimum\":\"1030\",\"raw_threshold\":\"1030\",\"regularized_minimum_below_threshold\":true}},\"values\":[3,3,3]}","contains_float_diagnostics":true,"family":"stochastic_and_spd","observed_dimension":-1,"orders_checked":1,"request_count":3,"rho":"","source_collection":"markov_and_spd_cases","source_index":2,"source_record":"verification/verification_results.json","state_dimension":-1,"theorem_reference":"15.1","variation_rank":-1} |
| {"case_id":"scalar_exact_hitting-000","case_json":"{\"canonical_orders\":8,\"centers\":[\"-86599672/173199857\",\"-86599928/173199857\",\"-84857786/173199857\",\"-84857914/173199857\",\"26626974/173199857\",\"26626926/173199857\"],\"guaranteed_endpoint_gap\":\"1/5542395424\",\"maximum_center_encoding_bits\":28,\"minimum_absolute_integer_residual\":\"0\",\"normalizer\":\"173199857\",\"orders\":720,\"partition_exists\":true,\"rho\":\"1/2\",\"values\":[1,2,3],\"zero_orders\":2}","contains_float_diagnostics":false,"family":"scalar_exact_hitting","observed_dimension":-1,"orders_checked":720,"request_count":6,"rho":"1/2","source_collection":"scalar_cases","source_index":0,"source_record":"verification/broadening_verification_results.json","state_dimension":-1,"theorem_reference":"1.2","variation_rank":-1} |
| {"case_id":"scalar_exact_hitting-001","case_json":"{\"canonical_orders\":8,\"centers\":[\"-73771000/147542513\",\"-73771256/147542513\",\"-72287194/147542513\",\"-72287258/147542513\",\"22682526/147542513\",\"22682478/147542513\"],\"guaranteed_endpoint_gap\":\"1/4721360416\",\"maximum_center_encoding_bits\":28,\"minimum_absolute_integer_residual\":\"64\",\"normalizer\":\"147542513\",\"orders\":720,\"partition_exists\":false,\"rho\":\"1/2\",\"values\":[1,1,3],\"zero_orders\":0}","contains_float_diagnostics":false,"family":"scalar_exact_hitting","observed_dimension":-1,"orders_checked":720,"request_count":6,"rho":"1/2","source_collection":"scalar_cases","source_index":1,"source_record":"verification/broadening_verification_results.json","state_dimension":-1,"theorem_reference":"1.2","variation_rank":-1} |
| {"case_id":"scalar_exact_hitting-002","case_json":"{\"canonical_orders\":8,\"centers\":[\"-635065082676/1270130182849\",\"-635065091424/1270130182849\",\"-633116311068/1270130182849\",\"-633116313012/1270130182849\",\"78186566772/1270130182849\",\"78186566448/1270130182849\"],\"guaranteed_endpoint_gap\":\"1/308641634432307\",\"maximum_center_encoding_bits\":41,\"minimum_absolute_integer_residual\":\"0\",\"normalizer\":\"1270130182849\",\"orders\":720,\"partition_exists\":true,\"rho\":\"1/3\",\"values\":[1,2,3],\"zero_orders\":2}","contains_float_diagnostics":false,"family":"scalar_exact_hitting","observed_dimension":-1,"orders_checked":720,"request_count":6,"rho":"1/3","source_collection":"scalar_cases","source_index":2,"source_record":"verification/broadening_verification_results.json","state_dimension":-1,"theorem_reference":"1.2","variation_rank":-1} |
| {"case_id":"scalar_exact_hitting-003","case_json":"{\"canonical_orders\":8,\"centers\":[\"-579029943636/1158059904769\",\"-579029952384/1158059904769\",\"-577253123202/1158059904769\",\"-577253124174/1158059904769\",\"71287754004/1158059904769\",\"71287753680/1158059904769\"],\"guaranteed_endpoint_gap\":\"1/281408556858867\",\"maximum_center_encoding_bits\":41,\"minimum_absolute_integer_residual\":\"5832\",\"normalizer\":\"1158059904769\",\"orders\":720,\"partition_exists\":false,\"rho\":\"1/3\",\"values\":[1,1,3],\"zero_orders\":0}","contains_float_diagnostics":false,"family":"scalar_exact_hitting","observed_dimension":-1,"orders_checked":720,"request_count":6,"rho":"1/3","source_collection":"scalar_cases","source_index":3,"source_record":"verification/broadening_verification_results.json","state_dimension":-1,"theorem_reference":"1.2","variation_rank":-1} |
| {"case_id":"scalar_exact_hitting-004","case_json":"{\"canonical_orders\":8,\"centers\":[\"-5703694877637/11407389790267\",\"-5703694895133/11407389790267\",\"-5689663259574/11407389790267\",\"-5689663275126/11407389790267\",\"3655395015144/11407389790267\",\"3655395004776/11407389790267\"],\"guaranteed_endpoint_gap\":\"1/2771995719034881\",\"maximum_center_encoding_bits\":44,\"minimum_absolute_integer_residual\":\"0\",\"normalizer\":\"11407389790267\",\"orders\":720,\"partition_exists\":true,\"rho\":\"2/3\",\"values\":[1,2,3],\"zero_orders\":2}","contains_float_diagnostics":false,"family":"scalar_exact_hitting","observed_dimension":-1,"orders_checked":720,"request_count":6,"rho":"2/3","source_collection":"scalar_cases","source_index":4,"source_record":"verification/broadening_verification_results.json","state_dimension":-1,"theorem_reference":"1.2","variation_rank":-1} |
| {"case_id":"scalar_exact_hitting-005","case_json":"{\"canonical_orders\":8,\"centers\":[\"-4682137729797/9364275494587\",\"-4682137747293/9364275494587\",\"-4670619241062/9364275494587\",\"-4670619248838/9364275494587\",\"3000697494504/9364275494587\",\"3000697484136/9364275494587\"],\"guaranteed_endpoint_gap\":\"1/2275518945184641\",\"maximum_center_encoding_bits\":44,\"minimum_absolute_integer_residual\":\"46656\",\"normalizer\":\"9364275494587\",\"orders\":720,\"partition_exists\":false,\"rho\":\"2/3\",\"values\":[1,1,3],\"zero_orders\":0}","contains_float_diagnostics":false,"family":"scalar_exact_hitting","observed_dimension":-1,"orders_checked":720,"request_count":6,"rho":"2/3","source_collection":"scalar_cases","source_index":5,"source_record":"verification/broadening_verification_results.json","state_dimension":-1,"theorem_reference":"1.2","variation_rank":-1} |
| {"case_id":"scalar_exact_hitting-006","case_json":"{\"canonical_orders\":8,\"centers\":[\"-132347976527784769457439000/388069608340895875223239981\",\"-132347976527784771077439000/388069608340895875223239981\",\"-132347279963664626150553410/388069608340895875223239981\",\"-132347279963664628774953410/388069608340895875223239981\",\"194034804170447937611619990/388069608340895875223239981\",\"194034804170447934422973990/388069608340895875223239981\"],\"guaranteed_endpoint_gap\":\"1/38806960834089587522323998100000\",\"maximum_center_encoding_bits\":89,\"minimum_absolute_integer_residual\":\"0\",\"normalizer\":\"388069608340895875223239981\",\"orders\":720,\"partition_exists\":true,\"rho\":\"9/10\",\"values\":[1,2,3],\"zero_orders\":2}","contains_float_diagnostics":false,"family":"scalar_exact_hitting","observed_dimension":-1,"orders_checked":720,"request_count":6,"rho":"9/10","source_collection":"scalar_cases","source_index":6,"source_record":"verification/broadening_verification_results.json","state_dimension":-1,"theorem_reference":"1.2","variation_rank":-1} |
| {"case_id":"scalar_exact_hitting-007","case_json":"{\"canonical_orders\":8,\"centers\":[\"-108983797858668769457439000/319561362856484755223239981\",\"-108983797858668771077439000/319561362856484755223239981\",\"-108983224263172586806653410/319561362856484755223239981\",\"-108983224263172588118853410/319561362856484755223239981\",\"159780681428242377611619990/319561362856484755223239981\",\"159780681428242374422973990/319561362856484755223239981\"],\"guaranteed_endpoint_gap\":\"1/31956136285648475522323998100000\",\"maximum_center_encoding_bits\":89,\"minimum_absolute_integer_residual\":\"531441000000\",\"normalizer\":\"319561362856484755223239981\",\"orders\":720,\"partition_exists\":false,\"rho\":\"9/10\",\"values\":[1,1,3],\"zero_orders\":0}","contains_float_diagnostics":false,"family":"scalar_exact_hitting","observed_dimension":-1,"orders_checked":720,"request_count":6,"rho":"9/10","source_collection":"scalar_cases","source_index":7,"source_record":"verification/broadening_verification_results.json","state_dimension":-1,"theorem_reference":"1.2","variation_rank":-1} |
| {"case_id":"scalar_exact_hitting-008","case_json":"{\"canonical_orders\":16,\"centers\":[\"-92811823268344/185623646569457\",\"-92811823284728/185623646569457\",\"-92809951563770/185623646569457\",\"-92809951571962/185623646569457\",\"-92330794146810/185623646569457\",\"-92330794149882/185623646569457\",\"30333505249286/185623646569457\",\"30333505248262/185623646569457\"],\"guaranteed_endpoint_gap\":\"1/23759826760890496\",\"maximum_center_encoding_bits\":48,\"minimum_absolute_integer_residual\":\"0\",\"normalizer\":\"185623646569457\",\"orders\":40320,\"partition_exists\":true,\"rho\":\"1/2\",\"values\":[1,2,3,4],\"zero_orders\":2}","contains_float_diagnostics":false,"family":"scalar_exact_hitting","observed_dimension":-1,"orders_checked":40320,"request_count":8,"rho":"1/2","source_collection":"scalar_cases","source_index":8,"source_record":"verification/broadening_verification_results.json","state_dimension":-1,"theorem_reference":"1.2","variation_rank":-1} |
| {"case_id":"scalar_exact_hitting-009","case_json":"{\"canonical_orders\":16,\"centers\":[\"-99441237410296/198882474853361\",\"-99441237426680/198882474853361\",\"-99439232012282/198882474853361\",\"-99439232020474/198882474853361\",\"-98925849074170/198882474853361\",\"-98925849078266/198882474853361\",\"32500183605766/198882474853361\",\"32500183603718/198882474853361\"],\"guaranteed_endpoint_gap\":\"1/25456956781230208\",\"maximum_center_encoding_bits\":48,\"minimum_absolute_integer_residual\":\"4096\",\"normalizer\":\"198882474853361\",\"orders\":40320,\"partition_exists\":false,\"rho\":\"1/2\",\"values\":[1,2,4,8],\"zero_orders\":0}","contains_float_diagnostics":false,"family":"scalar_exact_hitting","observed_dimension":-1,"orders_checked":40320,"request_count":8,"rho":"1/2","source_collection":"scalar_cases","source_index":9,"source_record":"verification/broadening_verification_results.json","state_dimension":-1,"theorem_reference":"1.2","variation_rank":-1} |
| {"case_id":"scalar_additive-000","case_json":"{\"centers\":[\"-1\",\"0\",\"1\"],\"epsilon\":\"1/2\",\"exact_optimum\":\"1/64\",\"initial\":\"0\",\"objective\":\"1/64\",\"order\":[0,2,1],\"rho\":\"1/2\",\"statistics\":{\"degree\":168,\"determinants\":920,\"fallback_rounds\":0,\"field_prime\":73009,\"oracle_calls\":8,\"repeats\":2},\"target\":\"0\"}","contains_float_diagnostics":false,"family":"scalar_additive","observed_dimension":-1,"orders_checked":-1,"request_count":3,"rho":"1/2","source_collection":"approximation_cases","source_index":0,"source_record":"verification/broadening_verification_results.json","state_dimension":-1,"theorem_reference":"6.1","variation_rank":-1} |
| {"case_id":"scalar_additive-001","case_json":"{\"centers\":[\"-1/2\",\"1/4\",\"3/4\"],\"epsilon\":\"1/2\",\"exact_optimum\":\"1225/11664\",\"initial\":\"1/4\",\"objective\":\"1225/11664\",\"order\":[2,1,0],\"rho\":\"2/3\",\"statistics\":{\"degree\":85,\"determinants\":578,\"fallback_rounds\":0,\"field_prime\":37159,\"oracle_calls\":12,\"repeats\":2},\"target\":\"-1/4\"}","contains_float_diagnostics":false,"family":"scalar_additive","observed_dimension":-1,"orders_checked":-1,"request_count":3,"rho":"2/3","source_collection":"approximation_cases","source_index":1,"source_record":"verification/broadening_verification_results.json","state_dimension":-1,"theorem_reference":"6.1","variation_rank":-1} |
| {"case_id":"scalar_additive-002","case_json":"{\"centers\":[\"-3/4\",\"-1/4\",\"1/4\",\"3/4\"],\"epsilon\":\"1/2\",\"exact_optimum\":\"1/4096\",\"initial\":\"0\",\"objective\":\"1/4096\",\"order\":[1,3,0,2],\"rho\":\"1/2\",\"statistics\":{\"degree\":180,\"determinants\":1942,\"fallback_rounds\":0,\"field_prime\":185359,\"oracle_calls\":14,\"repeats\":2},\"target\":\"0\"}","contains_float_diagnostics":false,"family":"scalar_additive","observed_dimension":-1,"orders_checked":-1,"request_count":4,"rho":"1/2","source_collection":"approximation_cases","source_index":2,"source_record":"verification/broadening_verification_results.json","state_dimension":-1,"theorem_reference":"6.1","variation_rank":-1} |
| {"case_id":"scalar_additive-003","case_json":"{\"centers\":[\"-1\",\"1/3\",\"2/3\",\"1\"],\"epsilon\":\"1/2\",\"exact_optimum\":\"203889841/400000000\",\"initial\":\"-1/2\",\"objective\":\"203889841/400000000\",\"order\":[0,1,2,3],\"rho\":\"9/10\",\"statistics\":{\"degree\":88,\"determinants\":468,\"fallback_rounds\":0,\"field_prime\":91139,\"oracle_calls\":8,\"repeats\":2},\"target\":\"1/2\"}","contains_float_diagnostics":false,"family":"scalar_additive","observed_dimension":-1,"orders_checked":-1,"request_count":4,"rho":"9/10","source_collection":"approximation_cases","source_index":3,"source_record":"verification/broadening_verification_results.json","state_dimension":-1,"theorem_reference":"6.1","variation_rank":-1} |
| {"case_id":"scalar_additive-004","case_json":"{\"centers\":[\"-1/2\",\"1/2\",\"3/4\"],\"epsilon\":\"1/4\",\"exact_optimum\":\"2209/2916\",\"initial\":\"1\",\"objective\":\"2209/2916\",\"order\":[2,1,0],\"rho\":\"1/3\",\"statistics\":{\"degree\":232,\"determinants\":1930,\"fallback_rounds\":0,\"field_prime\":100669,\"oracle_calls\":12,\"repeats\":2},\"target\":\"-1\"}","contains_float_diagnostics":false,"family":"scalar_additive","observed_dimension":-1,"orders_checked":-1,"request_count":3,"rho":"1/3","source_collection":"approximation_cases","source_index":4,"source_record":"verification/broadening_verification_results.json","state_dimension":-1,"theorem_reference":"6.1","variation_rank":-1} |
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| {"case_id":"sentinel_recurrence-001","case_json":"{\"new_zero_orders\":0,\"orders\":24,\"original_centers\":[\"1/3\"],\"original_zero_orders\":0,\"rho\":\"1/2\"}","contains_float_diagnostics":false,"family":"sentinel_recurrence","observed_dimension":-1,"orders_checked":24,"request_count":4,"rho":"1/2","source_collection":"direct_recurrence_cases","source_index":1,"source_record":"verification/revision3_scalar_verification_results.json","state_dimension":-1,"theorem_reference":"3.2","variation_rank":-1} |
| {"case_id":"sentinel_recurrence-002","case_json":"{\"new_zero_orders\":1,\"orders\":120,\"original_centers\":[\"1\",\"-1/2\"],\"original_zero_orders\":1,\"rho\":\"1/2\"}","contains_float_diagnostics":false,"family":"sentinel_recurrence","observed_dimension":-1,"orders_checked":120,"request_count":5,"rho":"1/2","source_collection":"direct_recurrence_cases","source_index":2,"source_record":"verification/revision3_scalar_verification_results.json","state_dimension":-1,"theorem_reference":"3.2","variation_rank":-1} |
| {"case_id":"sentinel_recurrence-003","case_json":"{\"new_zero_orders\":0,\"orders\":120,\"original_centers\":[\"1\",\"1\"],\"original_zero_orders\":0,\"rho\":\"1/2\"}","contains_float_diagnostics":false,"family":"sentinel_recurrence","observed_dimension":-1,"orders_checked":120,"request_count":5,"rho":"1/2","source_collection":"direct_recurrence_cases","source_index":3,"source_record":"verification/revision3_scalar_verification_results.json","state_dimension":-1,"theorem_reference":"3.2","variation_rank":-1} |
| {"case_id":"sentinel_recurrence-004","case_json":"{\"new_zero_orders\":2,\"orders\":720,\"original_centers\":[\"1\",\"-1/2\",\"0\"],\"original_zero_orders\":2,\"rho\":\"1/2\"}","contains_float_diagnostics":false,"family":"sentinel_recurrence","observed_dimension":-1,"orders_checked":720,"request_count":6,"rho":"1/2","source_collection":"direct_recurrence_cases","source_index":4,"source_record":"verification/revision3_scalar_verification_results.json","state_dimension":-1,"theorem_reference":"3.2","variation_rank":-1} |
| {"case_id":"sentinel_recurrence-005","case_json":"{\"new_zero_orders\":1,\"orders\":24,\"original_centers\":[\"0\"],\"original_zero_orders\":1,\"rho\":\"2/3\"}","contains_float_diagnostics":false,"family":"sentinel_recurrence","observed_dimension":-1,"orders_checked":24,"request_count":4,"rho":"2/3","source_collection":"direct_recurrence_cases","source_index":5,"source_record":"verification/revision3_scalar_verification_results.json","state_dimension":-1,"theorem_reference":"3.2","variation_rank":-1} |
| {"case_id":"sentinel_recurrence-006","case_json":"{\"new_zero_orders\":0,\"orders\":24,\"original_centers\":[\"1/3\"],\"original_zero_orders\":0,\"rho\":\"2/3\"}","contains_float_diagnostics":false,"family":"sentinel_recurrence","observed_dimension":-1,"orders_checked":24,"request_count":4,"rho":"2/3","source_collection":"direct_recurrence_cases","source_index":6,"source_record":"verification/revision3_scalar_verification_results.json","state_dimension":-1,"theorem_reference":"3.2","variation_rank":-1} |
| {"case_id":"sentinel_recurrence-007","case_json":"{\"new_zero_orders\":1,\"orders\":120,\"original_centers\":[\"1\",\"-2/3\"],\"original_zero_orders\":1,\"rho\":\"2/3\"}","contains_float_diagnostics":false,"family":"sentinel_recurrence","observed_dimension":-1,"orders_checked":120,"request_count":5,"rho":"2/3","source_collection":"direct_recurrence_cases","source_index":7,"source_record":"verification/revision3_scalar_verification_results.json","state_dimension":-1,"theorem_reference":"3.2","variation_rank":-1} |
| {"case_id":"sentinel_recurrence-008","case_json":"{\"new_zero_orders\":0,\"orders\":120,\"original_centers\":[\"1\",\"1\"],\"original_zero_orders\":0,\"rho\":\"2/3\"}","contains_float_diagnostics":false,"family":"sentinel_recurrence","observed_dimension":-1,"orders_checked":120,"request_count":5,"rho":"2/3","source_collection":"direct_recurrence_cases","source_index":8,"source_record":"verification/revision3_scalar_verification_results.json","state_dimension":-1,"theorem_reference":"3.2","variation_rank":-1} |
| {"case_id":"sentinel_recurrence-009","case_json":"{\"new_zero_orders\":2,\"orders\":720,\"original_centers\":[\"1\",\"-2/3\",\"0\"],\"original_zero_orders\":2,\"rho\":\"2/3\"}","contains_float_diagnostics":false,"family":"sentinel_recurrence","observed_dimension":-1,"orders_checked":720,"request_count":6,"rho":"2/3","source_collection":"direct_recurrence_cases","source_index":9,"source_record":"verification/revision3_scalar_verification_results.json","state_dimension":-1,"theorem_reference":"3.2","variation_rank":-1} |
| {"case_id":"sentinel_recurrence-010","case_json":"{\"new_zero_orders\":1,\"orders\":24,\"original_centers\":[\"0\"],\"original_zero_orders\":1,\"rho\":\"3/4\"}","contains_float_diagnostics":false,"family":"sentinel_recurrence","observed_dimension":-1,"orders_checked":24,"request_count":4,"rho":"3/4","source_collection":"direct_recurrence_cases","source_index":10,"source_record":"verification/revision3_scalar_verification_results.json","state_dimension":-1,"theorem_reference":"3.2","variation_rank":-1} |
| {"case_id":"sentinel_recurrence-011","case_json":"{\"new_zero_orders\":0,\"orders\":24,\"original_centers\":[\"1/3\"],\"original_zero_orders\":0,\"rho\":\"3/4\"}","contains_float_diagnostics":false,"family":"sentinel_recurrence","observed_dimension":-1,"orders_checked":24,"request_count":4,"rho":"3/4","source_collection":"direct_recurrence_cases","source_index":11,"source_record":"verification/revision3_scalar_verification_results.json","state_dimension":-1,"theorem_reference":"3.2","variation_rank":-1} |
| {"case_id":"sentinel_recurrence-012","case_json":"{\"new_zero_orders\":1,\"orders\":120,\"original_centers\":[\"1\",\"-3/4\"],\"original_zero_orders\":1,\"rho\":\"3/4\"}","contains_float_diagnostics":false,"family":"sentinel_recurrence","observed_dimension":-1,"orders_checked":120,"request_count":5,"rho":"3/4","source_collection":"direct_recurrence_cases","source_index":12,"source_record":"verification/revision3_scalar_verification_results.json","state_dimension":-1,"theorem_reference":"3.2","variation_rank":-1} |
| {"case_id":"sentinel_recurrence-013","case_json":"{\"new_zero_orders\":0,\"orders\":120,\"original_centers\":[\"1\",\"1\"],\"original_zero_orders\":0,\"rho\":\"3/4\"}","contains_float_diagnostics":false,"family":"sentinel_recurrence","observed_dimension":-1,"orders_checked":120,"request_count":5,"rho":"3/4","source_collection":"direct_recurrence_cases","source_index":13,"source_record":"verification/revision3_scalar_verification_results.json","state_dimension":-1,"theorem_reference":"3.2","variation_rank":-1} |
| {"case_id":"sentinel_recurrence-014","case_json":"{\"new_zero_orders\":2,\"orders\":720,\"original_centers\":[\"1\",\"-3/4\",\"0\"],\"original_zero_orders\":2,\"rho\":\"3/4\"}","contains_float_diagnostics":false,"family":"sentinel_recurrence","observed_dimension":-1,"orders_checked":720,"request_count":6,"rho":"3/4","source_collection":"direct_recurrence_cases","source_index":14,"source_record":"verification/revision3_scalar_verification_results.json","state_dimension":-1,"theorem_reference":"3.2","variation_rank":-1} |
| {"case_id":"sentinel_recurrence-015","case_json":"{\"new_zero_orders\":1,\"orders\":24,\"original_centers\":[\"0\"],\"original_zero_orders\":1,\"rho\":\"9/10\"}","contains_float_diagnostics":false,"family":"sentinel_recurrence","observed_dimension":-1,"orders_checked":24,"request_count":4,"rho":"9/10","source_collection":"direct_recurrence_cases","source_index":15,"source_record":"verification/revision3_scalar_verification_results.json","state_dimension":-1,"theorem_reference":"3.2","variation_rank":-1} |
| {"case_id":"sentinel_recurrence-016","case_json":"{\"new_zero_orders\":0,\"orders\":24,\"original_centers\":[\"1/3\"],\"original_zero_orders\":0,\"rho\":\"9/10\"}","contains_float_diagnostics":false,"family":"sentinel_recurrence","observed_dimension":-1,"orders_checked":24,"request_count":4,"rho":"9/10","source_collection":"direct_recurrence_cases","source_index":16,"source_record":"verification/revision3_scalar_verification_results.json","state_dimension":-1,"theorem_reference":"3.2","variation_rank":-1} |
| {"case_id":"sentinel_recurrence-017","case_json":"{\"new_zero_orders\":1,\"orders\":120,\"original_centers\":[\"1\",\"-9/10\"],\"original_zero_orders\":1,\"rho\":\"9/10\"}","contains_float_diagnostics":false,"family":"sentinel_recurrence","observed_dimension":-1,"orders_checked":120,"request_count":5,"rho":"9/10","source_collection":"direct_recurrence_cases","source_index":17,"source_record":"verification/revision3_scalar_verification_results.json","state_dimension":-1,"theorem_reference":"3.2","variation_rank":-1} |
| {"case_id":"sentinel_recurrence-018","case_json":"{\"new_zero_orders\":0,\"orders\":120,\"original_centers\":[\"1\",\"1\"],\"original_zero_orders\":0,\"rho\":\"9/10\"}","contains_float_diagnostics":false,"family":"sentinel_recurrence","observed_dimension":-1,"orders_checked":120,"request_count":5,"rho":"9/10","source_collection":"direct_recurrence_cases","source_index":18,"source_record":"verification/revision3_scalar_verification_results.json","state_dimension":-1,"theorem_reference":"3.2","variation_rank":-1} |
| {"case_id":"sentinel_recurrence-019","case_json":"{\"new_zero_orders\":2,\"orders\":720,\"original_centers\":[\"1\",\"-9/10\",\"0\"],\"original_zero_orders\":2,\"rho\":\"9/10\"}","contains_float_diagnostics":false,"family":"sentinel_recurrence","observed_dimension":-1,"orders_checked":720,"request_count":6,"rho":"9/10","source_collection":"direct_recurrence_cases","source_index":19,"source_record":"verification/revision3_scalar_verification_results.json","state_dimension":-1,"theorem_reference":"3.2","variation_rank":-1} |
| {"case_id":"sentinel_partition-000","case_json":"{\"direct_recurrences\":72,\"new_zero_orders\":2,\"orders\":5040,\"original_zero_orders\":2,\"rho\":\"1/2\",\"values\":[1,1]}","contains_float_diagnostics":false,"family":"sentinel_partition","observed_dimension":-1,"orders_checked":5040,"request_count":7,"rho":"1/2","source_collection":"partition_cases","source_index":0,"source_record":"verification/revision3_scalar_verification_results.json","state_dimension":-1,"theorem_reference":"3.3","variation_rank":-1} |
| {"case_id":"sentinel_partition-001","case_json":"{\"direct_recurrences\":72,\"new_zero_orders\":0,\"orders\":5040,\"original_zero_orders\":0,\"rho\":\"1/2\",\"values\":[1,2]}","contains_float_diagnostics":false,"family":"sentinel_partition","observed_dimension":-1,"orders_checked":5040,"request_count":7,"rho":"1/2","source_collection":"partition_cases","source_index":1,"source_record":"verification/revision3_scalar_verification_results.json","state_dimension":-1,"theorem_reference":"3.3","variation_rank":-1} |
| {"case_id":"sentinel_partition-002","case_json":"{\"direct_recurrences\":72,\"new_zero_orders\":2,\"orders\":5040,\"original_zero_orders\":2,\"rho\":\"2/3\",\"values\":[1,1]}","contains_float_diagnostics":false,"family":"sentinel_partition","observed_dimension":-1,"orders_checked":5040,"request_count":7,"rho":"2/3","source_collection":"partition_cases","source_index":2,"source_record":"verification/revision3_scalar_verification_results.json","state_dimension":-1,"theorem_reference":"3.3","variation_rank":-1} |
| {"case_id":"sentinel_partition-003","case_json":"{\"direct_recurrences\":72,\"new_zero_orders\":0,\"orders\":5040,\"original_zero_orders\":0,\"rho\":\"2/3\",\"values\":[1,2]}","contains_float_diagnostics":false,"family":"sentinel_partition","observed_dimension":-1,"orders_checked":5040,"request_count":7,"rho":"2/3","source_collection":"partition_cases","source_index":3,"source_record":"verification/revision3_scalar_verification_results.json","state_dimension":-1,"theorem_reference":"3.3","variation_rank":-1} |
| {"case_id":"sentinel_partition-004","case_json":"{\"direct_recurrences\":72,\"new_zero_orders\":2,\"orders\":5040,\"original_zero_orders\":2,\"rho\":\"3/4\",\"values\":[1,1]}","contains_float_diagnostics":false,"family":"sentinel_partition","observed_dimension":-1,"orders_checked":5040,"request_count":7,"rho":"3/4","source_collection":"partition_cases","source_index":4,"source_record":"verification/revision3_scalar_verification_results.json","state_dimension":-1,"theorem_reference":"3.3","variation_rank":-1} |
| {"case_id":"sentinel_partition-005","case_json":"{\"direct_recurrences\":72,\"new_zero_orders\":0,\"orders\":5040,\"original_zero_orders\":0,\"rho\":\"3/4\",\"values\":[1,2]}","contains_float_diagnostics":false,"family":"sentinel_partition","observed_dimension":-1,"orders_checked":5040,"request_count":7,"rho":"3/4","source_collection":"partition_cases","source_index":5,"source_record":"verification/revision3_scalar_verification_results.json","state_dimension":-1,"theorem_reference":"3.3","variation_rank":-1} |
| {"case_id":"sentinel_partition-006","case_json":"{\"direct_recurrences\":72,\"new_zero_orders\":2,\"orders\":5040,\"original_zero_orders\":2,\"rho\":\"9/10\",\"values\":[1,1]}","contains_float_diagnostics":false,"family":"sentinel_partition","observed_dimension":-1,"orders_checked":5040,"request_count":7,"rho":"9/10","source_collection":"partition_cases","source_index":6,"source_record":"verification/revision3_scalar_verification_results.json","state_dimension":-1,"theorem_reference":"3.3","variation_rank":-1} |
| {"case_id":"sentinel_partition-007","case_json":"{\"direct_recurrences\":72,\"new_zero_orders\":0,\"orders\":5040,\"original_zero_orders\":0,\"rho\":\"9/10\",\"values\":[1,2]}","contains_float_diagnostics":false,"family":"sentinel_partition","observed_dimension":-1,"orders_checked":5040,"request_count":7,"rho":"9/10","source_collection":"partition_cases","source_index":7,"source_record":"verification/revision3_scalar_verification_results.json","state_dimension":-1,"theorem_reference":"3.3","variation_rank":-1} |
| {"case_id":"one_interruption-000","case_json":"{\"centers\":[],\"distinct_endpoints\":1,\"initial\":\"0\",\"interval\":[\"0\",\"0\"],\"one_split_solutions\":0,\"requests\":0,\"retentions\":[],\"targets_audited\":3,\"unsplit_orders\":1}","contains_float_diagnostics":false,"family":"one_interruption","observed_dimension":-1,"orders_checked":1,"request_count":0,"rho":"","source_collection":"cases","source_index":0,"source_record":"verification/revision3_fluid_verification_results.json","state_dimension":-1,"theorem_reference":"9.3","variation_rank":-1} |
| {"case_id":"one_interruption-001","case_json":"{\"centers\":[\"2\"],\"distinct_endpoints\":1,\"initial\":\"-1/7\",\"interval\":[\"9/7\",\"9/7\"],\"one_split_solutions\":0,\"requests\":1,\"retentions\":[\"1/3\"],\"targets_audited\":3,\"unsplit_orders\":1}","contains_float_diagnostics":false,"family":"one_interruption","observed_dimension":-1,"orders_checked":1,"request_count":1,"rho":"","source_collection":"cases","source_index":1,"source_record":"verification/revision3_fluid_verification_results.json","state_dimension":-1,"theorem_reference":"9.3","variation_rank":-1} |
| {"case_id":"one_interruption-002","case_json":"{\"centers\":[\"-1\",\"1\"],\"distinct_endpoints\":2,\"initial\":\"0\",\"interval\":[\"-1/4\",\"1/4\"],\"one_split_solutions\":3,\"requests\":2,\"retentions\":[\"1/2\",\"1/2\"],\"targets_audited\":7,\"unsplit_orders\":2}","contains_float_diagnostics":false,"family":"one_interruption","observed_dimension":-1,"orders_checked":2,"request_count":2,"rho":"","source_collection":"cases","source_index":2,"source_record":"verification/revision3_fluid_verification_results.json","state_dimension":-1,"theorem_reference":"9.3","variation_rank":-1} |
| {"case_id":"one_interruption-003","case_json":"{\"centers\":[\"1\",\"-1\"],\"distinct_endpoints\":2,\"initial\":\"2/3\",\"interval\":[\"-1\",\"1\"],\"one_split_solutions\":3,\"requests\":2,\"retentions\":[\"0\",\"0\"],\"targets_audited\":7,\"unsplit_orders\":2}","contains_float_diagnostics":false,"family":"one_interruption","observed_dimension":-1,"orders_checked":2,"request_count":2,"rho":"","source_collection":"cases","source_index":3,"source_record":"verification/revision3_fluid_verification_results.json","state_dimension":-1,"theorem_reference":"9.3","variation_rank":-1} |
| {"case_id":"one_interruption-004","case_json":"{\"centers\":[\"1\",\"-1\",\"0\"],\"distinct_endpoints\":2,\"initial\":\"2/5\",\"interval\":[\"1/3\",\"1\"],\"one_split_solutions\":3,\"requests\":3,\"retentions\":[\"0\",\"2/3\",\"1\"],\"targets_audited\":7,\"unsplit_orders\":6}","contains_float_diagnostics":false,"family":"one_interruption","observed_dimension":-1,"orders_checked":6,"request_count":3,"rho":"","source_collection":"cases","source_index":4,"source_record":"verification/revision3_fluid_verification_results.json","state_dimension":-1,"theorem_reference":"9.3","variation_rank":-1} |
| {"case_id":"one_interruption-005","case_json":"{\"centers\":[\"1\",\"1\",\"-1\"],\"distinct_endpoints\":4,\"initial\":\"0\",\"interval\":[\"3/8\",\"19/24\"],\"one_split_solutions\":6,\"requests\":3,\"retentions\":[\"1/2\",\"1/3\",\"3/4\"],\"targets_audited\":11,\"unsplit_orders\":6}","contains_float_diagnostics":false,"family":"one_interruption","observed_dimension":-1,"orders_checked":6,"request_count":3,"rho":"","source_collection":"cases","source_index":5,"source_record":"verification/revision3_fluid_verification_results.json","state_dimension":-1,"theorem_reference":"9.3","variation_rank":-1} |
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| {"case_id":"one_interruption-007","case_json":"{\"centers\":[\"-1\",\"-1/3\",\"2/5\",\"1\"],\"distinct_endpoints\":22,\"initial\":\"0\",\"interval\":[\"-113/240\",\"119/240\"],\"one_split_solutions\":38,\"requests\":4,\"retentions\":[\"1/2\",\"1/2\",\"1/2\",\"1/2\"],\"targets_audited\":47,\"unsplit_orders\":24}","contains_float_diagnostics":false,"family":"one_interruption","observed_dimension":-1,"orders_checked":24,"request_count":4,"rho":"","source_collection":"cases","source_index":7,"source_record":"verification/revision3_fluid_verification_results.json","state_dimension":-1,"theorem_reference":"9.3","variation_rank":-1} |
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| {"case_id":"observable_rank-002","case_json":"{\"ambient_dimension\":3,\"exact_optimum\":\"40000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001/2560000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000\",\"maximum_coordinate\":\"1\",\"maximum_gram_determinant\":\"9/655360000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000\",\"name\":\"nearly-singular-exact-rational\",\"orders\":6,\"rounded_degree\":1017072,\"size\":3,\"variation_rank\":2}","contains_float_diagnostics":false,"family":"observable_rank","observed_dimension":-1,"orders_checked":6,"request_count":3,"rho":"","source_collection":"assignment_cases","source_index":2,"source_record":"verification/revision3_observable_results.json","state_dimension":3,"theorem_reference":"7.1","variation_rank":2} |
| {"case_id":"observable_rank-003","case_json":"{\"ambient_dimension\":2,\"exact_optimum\":\"305/16384\",\"maximum_coordinate\":\"0\",\"maximum_gram_determinant\":\"1\",\"name\":\"zero-variation-rank\",\"orders\":6,\"rounded_degree\":0,\"size\":3,\"variation_rank\":0}","contains_float_diagnostics":false,"family":"observable_rank","observed_dimension":-1,"orders_checked":6,"request_count":3,"rho":"","source_collection":"assignment_cases","source_index":3,"source_record":"verification/revision3_observable_results.json","state_dimension":2,"theorem_reference":"7.1","variation_rank":0} |
| {"case_id":"observable_rank-004","case_json":"{\"ambient_dimension\":7,\"exact_optimum\":\"2329/147456\",\"maximum_coordinate\":\"1\",\"maximum_gram_determinant\":\"25/2304\",\"name\":\"ambient-seven-rank-one\",\"orders\":6,\"rounded_degree\":504,\"size\":3,\"variation_rank\":1}","contains_float_diagnostics":false,"family":"observable_rank","observed_dimension":-1,"orders_checked":6,"request_count":3,"rho":"","source_collection":"assignment_cases","source_index":4,"source_record":"verification/revision3_observable_results.json","state_dimension":7,"theorem_reference":"7.1","variation_rank":1} |
| {"case_id":"observable_quotient-000","case_json":"{\"hidden_dimension\":7,\"increment_defect\":\"0\",\"initial_defect\":\"0\",\"maximum_endpoint_error_squared\":\"0\",\"name\":\"exact-closure\",\"observed_dimension\":1,\"orders\":24,\"response_defect\":\"0\",\"surrogate_optimum\":\"1/16384\",\"terminal_mismatch_bound\":\"0\",\"true_optimum\":\"1/16384\"}","contains_float_diagnostics":false,"family":"observable_quotient","observed_dimension":1,"orders_checked":24,"request_count":-1,"rho":"","source_collection":"quotient_cases","source_index":0,"source_record":"verification/revision3_observable_results.json","state_dimension":7,"theorem_reference":"8.1","variation_rank":-1} |
| {"case_id":"observable_quotient-001","case_json":"{\"hidden_dimension\":7,\"increment_defect\":\"0\",\"initial_defect\":\"0\",\"maximum_endpoint_error_squared\":\"1521/1099511627776\",\"name\":\"response-defect\",\"observed_dimension\":1,\"orders\":24,\"response_defect\":\"1/1024\",\"surrogate_optimum\":\"1/16384\",\"terminal_mismatch_bound\":\"175/65536\",\"true_optimum\":\"1069093809/17592186044416\"}","contains_float_diagnostics":false,"family":"observable_quotient","observed_dimension":1,"orders_checked":24,"request_count":-1,"rho":"","source_collection":"quotient_cases","source_index":1,"source_record":"verification/revision3_observable_results.json","state_dimension":7,"theorem_reference":"8.1","variation_rank":-1} |
| {"case_id":"observable_quotient-002","case_json":"{\"hidden_dimension\":7,\"increment_defect\":\"1/2048\",\"initial_defect\":\"0\",\"maximum_endpoint_error_squared\":\"81/268435456\",\"name\":\"increment-defect\",\"observed_dimension\":1,\"orders\":24,\"response_defect\":\"0\",\"surrogate_optimum\":\"14161/268435456\",\"terminal_mismatch_bound\":\"175/131072\",\"true_optimum\":\"1/16384\"}","contains_float_diagnostics":false,"family":"observable_quotient","observed_dimension":1,"orders_checked":24,"request_count":-1,"rho":"","source_collection":"quotient_cases","source_index":2,"source_record":"verification/revision3_observable_results.json","state_dimension":7,"theorem_reference":"8.1","variation_rank":-1} |
| {"case_id":"observable_quotient-003","case_json":"{\"hidden_dimension\":7,\"increment_defect\":\"0\",\"initial_defect\":\"1/4096\",\"maximum_endpoint_error_squared\":\"1/4294967296\",\"name\":\"initial-defect\",\"observed_dimension\":1,\"orders\":24,\"response_defect\":\"0\",\"surrogate_optimum\":\"261121/4294967296\",\"terminal_mismatch_bound\":\"81/1048576\",\"true_optimum\":\"1/16384\"}","contains_float_diagnostics":false,"family":"observable_quotient","observed_dimension":1,"orders_checked":24,"request_count":-1,"rho":"","source_collection":"quotient_cases","source_index":3,"source_record":"verification/revision3_observable_results.json","state_dimension":7,"theorem_reference":"8.1","variation_rank":-1} |
| {"case_id":"observable_quotient-004","case_json":"{\"hidden_dimension\":7,\"increment_defect\":\"1/2048\",\"initial_defect\":\"1/4096\",\"maximum_endpoint_error_squared\":\"6145441/17592186044416\",\"name\":\"combined-defects\",\"observed_dimension\":1,\"orders\":24,\"response_defect\":\"1/1024\",\"surrogate_optimum\":\"225625/4294967296\",\"terminal_mismatch_bound\":\"4281/1048576\",\"true_optimum\":\"1069093809/17592186044416\"}","contains_float_diagnostics":false,"family":"observable_quotient","observed_dimension":1,"orders_checked":24,"request_count":-1,"rho":"","source_collection":"quotient_cases","source_index":4,"source_record":"verification/revision3_observable_results.json","state_dimension":7,"theorem_reference":"8.1","variation_rank":-1} |
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