case_id stringlengths 29 49 | suite stringclasses 3
values | category stringclasses 8
values | arithmetic stringclasses 4
values | source_file stringclasses 3
values | source_pointer stringlengths 9 54 | record_json stringlengths 91 1.72k |
|---|---|---|---|---|---|---|
query_minimax:threshold_query:000 | query_minimax | threshold_query | high_precision_decimal | research/query_minimax_verification.json | /records/0 | {"case":"infinite_j^-2","certificate":"55/256","error":"0.0199416962427576865","error_times_Q_squared":"58.1499862438814138","origin_queries":19,"queries":54,"tau":"1/256"} |
query_minimax:threshold_query:001 | query_minimax | threshold_query | high_precision_decimal | research/query_minimax_verification.json | /records/1 | {"case":"infinite_j^-2","certificate":"19/512","error":"0.00506008537239635835","error_times_Q_squared":"115.375006576009367","origin_queries":27,"queries":151,"tau":"1/4096"} |
query_minimax:threshold_query:002 | query_minimax | threshold_query | high_precision_decimal | research/query_minimax_verification.json | /records/2 | {"case":"infinite_j^-2","certificate":"397/65536","error":"0.000908275819246270752","error_times_Q_squared":"142.432180870923194","origin_queries":35,"queries":396,"tau":"1/65536"} |
query_minimax:threshold_query:003 | query_minimax | threshold_query | high_precision_decimal | research/query_minimax_verification.json | /records/3 | {"case":"infinite_j^-2","certificate":"1011/1048576","error":"0.000146194752223024902","error_times_Q_squared":"149.133266742707702","origin_queries":43,"queries":1010,"tau":"1/1048576"} |
query_minimax:threshold_query:004 | query_minimax | threshold_query | high_precision_decimal | research/query_minimax_verification.json | /records/4 | {"case":"infinite_j^-2","certificate":"2563/16777216","error":"0.0000239800201480593200","error_times_Q_squared":"157.401111368718279","origin_queries":51,"queries":2562,"tau":"1/16777216"} |
query_minimax:threshold_query:005 | query_minimax | threshold_query | exact_rational | research/query_minimax_verification.json | /records/5 | {"case":"finite_rational_13","certificate":"43/256","error":"717362664331/63930746880000","queries":42,"tau":"1/256"} |
query_minimax:threshold_query:006 | query_minimax | threshold_query | exact_rational | research/query_minimax_verification.json | /records/6 | {"case":"finite_rational_13","certificate":"87/4096","error":"93038964331/63930746880000","queries":86,"tau":"1/4096"} |
query_minimax:threshold_query:007 | query_minimax | threshold_query | exact_rational | research/query_minimax_verification.json | /records/7 | {"case":"finite_rational_13","certificate":"145/65536","error":"24875799199/255722987520000","queries":144,"tau":"1/65536"} |
query_minimax:threshold_query:008 | query_minimax | threshold_query | exact_rational | research/query_minimax_verification.json | /records/8 | {"case":"finite_rational_47","certificate":"37/256","error":"90400104275126901096608557372971742511149/5701863800695994358739922897668065484800000","queries":36,"tau":"1/256"} |
query_minimax:threshold_query:009 | query_minimax | threshold_query | exact_rational | research/query_minimax_verification.json | /records/9 | {"case":"finite_rational_47","certificate":"91/4096","error":"15403055382915793655907056857379206379899/5701863800695994358739922897668065484800000","queries":90,"tau":"1/4096"} |
query_minimax:threshold_query:010 | query_minimax | threshold_query | exact_rational | research/query_minimax_verification.json | /records/10 | {"case":"finite_rational_47","certificate":"51/16384","error":"3922017833472849261725060745711900387923/11403727601391988717479845795336130969600000","queries":203,"tau":"1/65536"} |
query_minimax:threshold_query:011 | query_minimax | threshold_query | exact_rational | research/query_minimax_verification.json | /records/11 | {"case":"finite_rational_173","certificate":"39/256","error":"6451932916456290383672100401779601642727502916425969342961257470168761994398292777947692515608228694563131346968146746116973470994627004715099026214873/2957031034408013048168737964571058471808048480739075545776840765026830188348552460188353154671457845855549... |
query_minimax:threshold_query:012 | query_minimax | threshold_query | exact_rational | research/query_minimax_verification.json | /records/12 | {"case":"finite_rational_173","certificate":"103/4096","error":"15481292417377129663040145505489613839937387298049035419109924533609407005197572893775560316013024588874870350558907843038545990779895275996996042484843/4731249655052820877069980743313693554892877569182520873242945224042928301357683936301365047474332553368... |
query_minimax:threshold_query:013 | query_minimax | threshold_query | exact_rational | research/query_minimax_verification.json | /records/13 | {"case":"finite_rational_173","certificate":"239/65536","error":"2333116705913277700204906203792738249653187357751082934378305287259029855466613010674881158431499682223454957029362449029293090340467854645861308109843/4731249655052820877069980743313693554892877569182520873242945224042928301357683936301365047474332553368... |
constructive:graph_metric:000 | constructive | graph_metric | exact_rational | research/validation_v2/constructive_verification_results.json | /graphs/0 | {"cycle_matrix":[[1,-1,0,1,0,0],[1,0,-1,0,1,0],[0,1,-1,0,0,1]],"cycle_rank":3,"design_rank":6,"edges":6,"exact_recovered_lengths":["1/2","5/8","1","9/10","1/3","1/3"],"graph":"K4","lengths":["1/2","5/8","1","9/10","1/3","1/3"],"total_length":"443/120","vertices":4} |
constructive:graph_metric:001 | constructive | graph_metric | exact_rational | research/validation_v2/constructive_verification_results.json | /graphs/1 | {"cycle_matrix":[[1,-1,0,-1,1,0,0,0,0],[1,0,-1,-1,0,1,0,0,0],[1,-1,0,0,0,0,-1,1,0],[1,0,-1,0,0,0,-1,0,1]],"cycle_rank":4,"design_rank":9,"edges":9,"exact_recovered_lengths":["3/5","4","9/2","1/10","7/3","9/7","4","8/3","2/7"],"graph":"K3_3","lengths":["3/5","4","9/2","1/10","7/3","9/7","4","8/3","2/7"],"total_length":"... |
constructive:graph_metric:002 | constructive | graph_metric | exact_rational | research/validation_v2/constructive_verification_results.json | /graphs/2 | {"cycle_matrix":[[1,1,-1,0,0,0,0,0,0],[-1,0,0,1,0,0,1,-1,0],[1,0,-1,0,1,0,0,1,-1],[0,0,-1,0,0,1,1,0,-1]],"cycle_rank":4,"design_rank":9,"edges":9,"exact_recovered_lengths":["4/11","5","7/12","1/4","7/2","3/2","1","9/11","2/9"],"graph":"triangular_prism","lengths":["4/11","5","7/12","1/4","7/2","3/2","1","9/11","2/9"],"... |
constructive:graph_metric:003 | constructive | graph_metric | exact_rational | research/validation_v2/constructive_verification_results.json | /graphs/3 | {"cycle_matrix":[[1,-1,0,0,0,1,0,0,0,0],[0,1,-1,0,0,0,1,0,0,0],[0,0,1,-1,0,0,0,1,0,0],[0,0,0,1,-1,0,0,0,1,0],[1,0,0,0,-1,0,0,0,0,1]],"cycle_rank":5,"design_rank":10,"edges":10,"exact_recovered_lengths":["2/9","2/9","1/6","1/4","4/5","5/6","2/5","1/4","3/10","3/4"],"graph":"wheel_W6","lengths":["2/9","2/9","1/6","1/4","... |
constructive:graph_metric:004 | constructive | graph_metric | exact_rational | research/validation_v2/constructive_verification_results.json | /graphs/4 | {"cycle_matrix":[[-1,1,0,-1,0,1,0,0,0,0,0,0],[-1,0,1,0,-1,0,0,0,1,0,0,0],[0,-1,1,0,0,0,-1,0,0,1,0,0],[0,0,0,-1,1,0,0,-1,0,0,1,0],[-1,1,0,-1,0,0,1,-1,0,0,0,1]],"cycle_rank":5,"design_rank":12,"edges":12,"exact_recovered_lengths":["2","4/9","3/2","1/2","2/5","5/8","2/3","1","7/11","1","1/5","7/2"],"graph":"cube","lengths... |
constructive:magnetic_fem:000 | constructive | magnetic_fem | floating_point | research/validation_v2/constructive_verification_results.json | /finite_element_normalization/0 | {"baseline_numerical_eigenvalue":-2.1351228886005174e-13,"epsilon_radians":0.01,"flux_direction":[1,0,0],"graph":"K4","observed_lambda_over_epsilon_squared":0.2054872794914963,"predicted_lambda_over_epsilon_squared":0.20548784770761228,"relative_error":2.7652054479314794e-06,"subdivisions_per_edge":4} |
constructive:magnetic_fem:001 | constructive | magnetic_fem | floating_point | research/validation_v2/constructive_verification_results.json | /finite_element_normalization/1 | {"baseline_numerical_eigenvalue":-2.1351228886005174e-13,"epsilon_radians":0.005,"flux_direction":[1,0,0],"graph":"K4","observed_lambda_over_epsilon_squared":0.2054877176100635,"predicted_lambda_over_epsilon_squared":0.20548784770761228,"relative_error":6.331155357399491e-07,"subdivisions_per_edge":4} |
constructive:magnetic_fem:002 | constructive | magnetic_fem | floating_point | research/validation_v2/constructive_verification_results.json | /finite_element_normalization/2 | {"baseline_numerical_eigenvalue":-2.1351228886005174e-13,"epsilon_radians":0.0025,"flux_direction":[1,0,0],"graph":"K4","observed_lambda_over_epsilon_squared":0.20548786710038297,"predicted_lambda_over_epsilon_squared":0.20548784770761228,"relative_error":9.43742946903708e-08,"subdivisions_per_edge":4} |
constructive:magnetic_fem:003 | constructive | magnetic_fem | floating_point | research/validation_v2/constructive_verification_results.json | /finite_element_normalization/3 | {"baseline_numerical_eigenvalue":-2.1351228886005174e-13,"epsilon_radians":0.01,"flux_direction":[0,1,0],"graph":"K4","observed_lambda_over_epsilon_squared":0.283605974677658,"predicted_lambda_over_epsilon_squared":0.2836062841819807,"relative_error":1.0913168710755784e-06,"subdivisions_per_edge":4} |
constructive:magnetic_fem:004 | constructive | magnetic_fem | floating_point | research/validation_v2/constructive_verification_results.json | /finite_element_normalization/4 | {"baseline_numerical_eigenvalue":-2.1351228886005174e-13,"epsilon_radians":0.005,"flux_direction":[0,1,0],"graph":"K4","observed_lambda_over_epsilon_squared":0.28360620876895537,"predicted_lambda_over_epsilon_squared":0.2836062841819807,"relative_error":2.659074552665531e-07,"subdivisions_per_edge":4} |
constructive:magnetic_fem:005 | constructive | magnetic_fem | floating_point | research/validation_v2/constructive_verification_results.json | /finite_element_normalization/5 | {"baseline_numerical_eigenvalue":-2.1351228886005174e-13,"epsilon_radians":0.0025,"flux_direction":[0,1,0],"graph":"K4","observed_lambda_over_epsilon_squared":0.2836062872503612,"predicted_lambda_over_epsilon_squared":0.2836062841819807,"relative_error":1.0819155516886517e-08,"subdivisions_per_edge":4} |
constructive:magnetic_fem:006 | constructive | magnetic_fem | floating_point | research/validation_v2/constructive_verification_results.json | /finite_element_normalization/6 | {"baseline_numerical_eigenvalue":-2.1351228886005174e-13,"epsilon_radians":0.01,"flux_direction":[1,-1,1],"graph":"K4","observed_lambda_over_epsilon_squared":1.6502663621285523,"predicted_lambda_over_epsilon_squared":1.6502932884528776,"relative_error":1.6316084246194823e-05,"subdivisions_per_edge":4} |
constructive:magnetic_fem:007 | constructive | magnetic_fem | floating_point | research/validation_v2/constructive_verification_results.json | /finite_element_normalization/7 | {"baseline_numerical_eigenvalue":-2.1351228886005174e-13,"epsilon_radians":0.005,"flux_direction":[1,-1,1],"graph":"K4","observed_lambda_over_epsilon_squared":1.6502865683954206,"predicted_lambda_over_epsilon_squared":1.6502932884528776,"relative_error":4.072038287960105e-06,"subdivisions_per_edge":4} |
constructive:magnetic_fem:008 | constructive | magnetic_fem | floating_point | research/validation_v2/constructive_verification_results.json | /finite_element_normalization/8 | {"baseline_numerical_eigenvalue":-2.1351228886005174e-13,"epsilon_radians":0.0025,"flux_direction":[1,-1,1],"graph":"K4","observed_lambda_over_epsilon_squared":1.6502916418514646,"predicted_lambda_over_epsilon_squared":1.6502932884528776,"relative_error":9.977628973698576e-07,"subdivisions_per_edge":4} |
constructive:magnetic_fem:009 | constructive | magnetic_fem | floating_point | research/validation_v2/constructive_verification_results.json | /finite_element_normalization/9 | {"baseline_numerical_eigenvalue":-7.02000031876496e-13,"epsilon_radians":0.01,"flux_direction":[1,0,0],"graph":"K4","observed_lambda_over_epsilon_squared":0.20548728153728643,"predicted_lambda_over_epsilon_squared":0.20548784770761228,"relative_error":2.7552496761256807e-06,"subdivisions_per_edge":8} |
constructive:magnetic_fem:010 | constructive | magnetic_fem | floating_point | research/validation_v2/constructive_verification_results.json | /finite_element_normalization/10 | {"baseline_numerical_eigenvalue":-7.02000031876496e-13,"epsilon_radians":0.005,"flux_direction":[1,0,0],"graph":"K4","observed_lambda_over_epsilon_squared":0.20548775167979727,"predicted_lambda_over_epsilon_squared":0.20548784770761228,"relative_error":4.6731627235651205e-07,"subdivisions_per_edge":8} |
constructive:magnetic_fem:011 | constructive | magnetic_fem | floating_point | research/validation_v2/constructive_verification_results.json | /finite_element_normalization/11 | {"baseline_numerical_eigenvalue":-7.02000031876496e-13,"epsilon_radians":0.0025,"flux_direction":[1,0,0],"graph":"K4","observed_lambda_over_epsilon_squared":0.20548786881161465,"predicted_lambda_over_epsilon_squared":0.20548784770761228,"relative_error":1.0270194862816755e-07,"subdivisions_per_edge":8} |
constructive:magnetic_fem:012 | constructive | magnetic_fem | floating_point | research/validation_v2/constructive_verification_results.json | /finite_element_normalization/12 | {"baseline_numerical_eigenvalue":-7.02000031876496e-13,"epsilon_radians":0.01,"flux_direction":[0,1,0],"graph":"K4","observed_lambda_over_epsilon_squared":0.2836059655131683,"predicted_lambda_over_epsilon_squared":0.2836062841819807,"relative_error":1.1236309989133689e-06,"subdivisions_per_edge":8} |
constructive:magnetic_fem:013 | constructive | magnetic_fem | floating_point | research/validation_v2/constructive_verification_results.json | /finite_element_normalization/13 | {"baseline_numerical_eigenvalue":-7.02000031876496e-13,"epsilon_radians":0.005,"flux_direction":[0,1,0],"graph":"K4","observed_lambda_over_epsilon_squared":0.2836062430025651,"predicted_lambda_over_epsilon_squared":0.2836062841819807,"relative_error":1.451992353358596e-07,"subdivisions_per_edge":8} |
constructive:magnetic_fem:014 | constructive | magnetic_fem | floating_point | research/validation_v2/constructive_verification_results.json | /finite_element_normalization/14 | {"baseline_numerical_eigenvalue":-7.02000031876496e-13,"epsilon_radians":0.0025,"flux_direction":[0,1,0],"graph":"K4","observed_lambda_over_epsilon_squared":0.28360632166909044,"predicted_lambda_over_epsilon_squared":0.2836062841819807,"relative_error":1.3218010968211765e-07,"subdivisions_per_edge":8} |
constructive:magnetic_fem:015 | constructive | magnetic_fem | floating_point | research/validation_v2/constructive_verification_results.json | /finite_element_normalization/15 | {"baseline_numerical_eigenvalue":-7.02000031876496e-13,"epsilon_radians":0.01,"flux_direction":[1,-1,1],"graph":"K4","observed_lambda_over_epsilon_squared":1.6502657496355617,"predicted_lambda_over_epsilon_squared":1.6502932884528776,"relative_error":1.6687226148566868e-05,"subdivisions_per_edge":8} |
constructive:magnetic_fem:016 | constructive | magnetic_fem | floating_point | research/validation_v2/constructive_verification_results.json | /finite_element_normalization/16 | {"baseline_numerical_eigenvalue":-7.02000031876496e-13,"epsilon_radians":0.005,"flux_direction":[1,-1,1],"graph":"K4","observed_lambda_over_epsilon_squared":1.6502863947663633,"predicted_lambda_over_epsilon_squared":1.6502932884528776,"relative_error":4.1772493183683644e-06,"subdivisions_per_edge":8} |
constructive:magnetic_fem:017 | constructive | magnetic_fem | floating_point | research/validation_v2/constructive_verification_results.json | /finite_element_normalization/17 | {"baseline_numerical_eigenvalue":-7.02000031876496e-13,"epsilon_radians":0.0025,"flux_direction":[1,-1,1],"graph":"K4","observed_lambda_over_epsilon_squared":1.6502916635861,"predicted_lambda_over_epsilon_squared":1.6502932884528776,"relative_error":9.84592732056309e-07,"subdivisions_per_edge":8} |
constructive:magnetic_fem:018 | constructive | magnetic_fem | floating_point | research/validation_v2/constructive_verification_results.json | /finite_element_normalization/18 | {"baseline_numerical_eigenvalue":-3.4788754903867693e-13,"epsilon_radians":0.01,"flux_direction":[1,0,0,0],"graph":"K3_3","observed_lambda_over_epsilon_squared":0.01138613043095512,"predicted_lambda_over_epsilon_squared":0.011386154581995721,"relative_error":2.1210884172958467e-06,"subdivisions_per_edge":4} |
constructive:magnetic_fem:019 | constructive | magnetic_fem | floating_point | research/validation_v2/constructive_verification_results.json | /finite_element_normalization/19 | {"baseline_numerical_eigenvalue":-3.4788754903867693e-13,"epsilon_radians":0.005,"flux_direction":[1,0,0,0],"graph":"K3_3","observed_lambda_over_epsilon_squared":0.011386165623537368,"predicted_lambda_over_epsilon_squared":0.011386154581995721,"relative_error":9.69734036786411e-07,"subdivisions_per_edge":4} |
constructive:magnetic_fem:020 | constructive | magnetic_fem | floating_point | research/validation_v2/constructive_verification_results.json | /finite_element_normalization/20 | {"baseline_numerical_eigenvalue":-3.4788754903867693e-13,"epsilon_radians":0.0025,"flux_direction":[1,0,0,0],"graph":"K3_3","observed_lambda_over_epsilon_squared":0.01138629311889054,"predicted_lambda_over_epsilon_squared":0.011386154581995721,"relative_error":1.2167136307618371e-05,"subdivisions_per_edge":4} |
constructive:magnetic_fem:021 | constructive | magnetic_fem | floating_point | research/validation_v2/constructive_verification_results.json | /finite_element_normalization/21 | {"baseline_numerical_eigenvalue":-3.4788754903867693e-13,"epsilon_radians":0.01,"flux_direction":[0,1,0,0],"graph":"K3_3","observed_lambda_over_epsilon_squared":0.01696405516866394,"predicted_lambda_over_epsilon_squared":0.016964078329588454,"relative_error":1.3652922407622355e-06,"subdivisions_per_edge":4} |
constructive:magnetic_fem:022 | constructive | magnetic_fem | floating_point | research/validation_v2/constructive_verification_results.json | /finite_element_normalization/22 | {"baseline_numerical_eigenvalue":-3.4788754903867693e-13,"epsilon_radians":0.005,"flux_direction":[0,1,0,0],"graph":"K3_3","observed_lambda_over_epsilon_squared":0.01696410437244908,"predicted_lambda_over_epsilon_squared":0.016964078329588454,"relative_error":1.5351768672006526e-06,"subdivisions_per_edge":4} |
constructive:magnetic_fem:023 | constructive | magnetic_fem | floating_point | research/validation_v2/constructive_verification_results.json | /finite_element_normalization/23 | {"baseline_numerical_eigenvalue":-3.4788754903867693e-13,"epsilon_radians":0.0025,"flux_direction":[0,1,0,0],"graph":"K3_3","observed_lambda_over_epsilon_squared":0.01696398368470148,"predicted_lambda_over_epsilon_squared":0.016964078329588454,"relative_error":5.579135225265958e-06,"subdivisions_per_edge":4} |
constructive:magnetic_fem:024 | constructive | magnetic_fem | floating_point | research/validation_v2/constructive_verification_results.json | /finite_element_normalization/24 | {"baseline_numerical_eigenvalue":-3.4788754903867693e-13,"epsilon_radians":0.01,"flux_direction":[1,-1,1,-1],"graph":"K3_3","observed_lambda_over_epsilon_squared":0.020047207687618654,"predicted_lambda_over_epsilon_squared":0.02004725409205475,"relative_error":2.3147527278655855e-06,"subdivisions_per_edge":4} |
constructive:magnetic_fem:025 | constructive | magnetic_fem | floating_point | research/validation_v2/constructive_verification_results.json | /finite_element_normalization/25 | {"baseline_numerical_eigenvalue":-3.4788754903867693e-13,"epsilon_radians":0.005,"flux_direction":[1,-1,1,-1],"graph":"K3_3","observed_lambda_over_epsilon_squared":0.020047175249869056,"predicted_lambda_over_epsilon_squared":0.02004725409205475,"relative_error":3.932817199365819e-06,"subdivisions_per_edge":4} |
constructive:magnetic_fem:026 | constructive | magnetic_fem | floating_point | research/validation_v2/constructive_verification_results.json | /finite_element_normalization/26 | {"baseline_numerical_eigenvalue":-3.4788754903867693e-13,"epsilon_radians":0.0025,"flux_direction":[1,-1,1,-1],"graph":"K3_3","observed_lambda_over_epsilon_squared":0.020047378162408338,"predicted_lambda_over_epsilon_squared":0.02004725409205475,"relative_error":6.188895148356638e-06,"subdivisions_per_edge":4} |
constructive:magnetic_fem:027 | constructive | magnetic_fem | floating_point | research/validation_v2/constructive_verification_results.json | /finite_element_normalization/27 | {"baseline_numerical_eigenvalue":-4.277955496146241e-12,"epsilon_radians":0.01,"flux_direction":[1,0,0,0],"graph":"K3_3","observed_lambda_over_epsilon_squared":0.011386203671368897,"predicted_lambda_over_epsilon_squared":0.011386154581995721,"relative_error":4.311321510896978e-06,"subdivisions_per_edge":8} |
constructive:magnetic_fem:028 | constructive | magnetic_fem | floating_point | research/validation_v2/constructive_verification_results.json | /finite_element_normalization/28 | {"baseline_numerical_eigenvalue":-4.277955496146241e-12,"epsilon_radians":0.005,"flux_direction":[1,0,0,0],"graph":"K3_3","observed_lambda_over_epsilon_squared":0.011386370411002876,"predicted_lambda_over_epsilon_squared":0.011386154581995721,"relative_error":1.8955390566667597e-05,"subdivisions_per_edge":8} |
constructive:magnetic_fem:029 | constructive | magnetic_fem | floating_point | research/validation_v2/constructive_verification_results.json | /finite_element_normalization/29 | {"baseline_numerical_eigenvalue":-4.277955496146241e-12,"epsilon_radians":0.0025,"flux_direction":[1,0,0,0],"graph":"K3_3","observed_lambda_over_epsilon_squared":0.011385781816966471,"predicted_lambda_over_epsilon_squared":0.011386154581995721,"relative_error":3.273844796026838e-05,"subdivisions_per_edge":8} |
constructive:magnetic_fem:030 | constructive | magnetic_fem | floating_point | research/validation_v2/constructive_verification_results.json | /finite_element_normalization/30 | {"baseline_numerical_eigenvalue":-4.277955496146241e-12,"epsilon_radians":0.01,"flux_direction":[0,1,0,0],"graph":"K3_3","observed_lambda_over_epsilon_squared":0.016964108507424063,"predicted_lambda_over_epsilon_squared":0.016964078329588454,"relative_error":1.7789257407678955e-06,"subdivisions_per_edge":8} |
constructive:magnetic_fem:031 | constructive | magnetic_fem | floating_point | research/validation_v2/constructive_verification_results.json | /finite_element_normalization/31 | {"baseline_numerical_eigenvalue":-4.277955496146241e-12,"epsilon_radians":0.005,"flux_direction":[0,1,0,0],"graph":"K3_3","observed_lambda_over_epsilon_squared":0.016964075247402132,"predicted_lambda_over_epsilon_squared":0.016964078329588454,"relative_error":1.8168899378186962e-07,"subdivisions_per_edge":8} |
constructive:magnetic_fem:032 | constructive | magnetic_fem | floating_point | research/validation_v2/constructive_verification_results.json | /finite_element_normalization/32 | {"baseline_numerical_eigenvalue":-4.277955496146241e-12,"epsilon_radians":0.0025,"flux_direction":[0,1,0,0],"graph":"K3_3","observed_lambda_over_epsilon_squared":0.016964753796327385,"predicted_lambda_over_epsilon_squared":0.016964078329588454,"relative_error":3.9817473475861133e-05,"subdivisions_per_edge":8} |
constructive:magnetic_fem:033 | constructive | magnetic_fem | floating_point | research/validation_v2/constructive_verification_results.json | /finite_element_normalization/33 | {"baseline_numerical_eigenvalue":-4.277955496146241e-12,"epsilon_radians":0.01,"flux_direction":[1,-1,1,-1],"graph":"K3_3","observed_lambda_over_epsilon_squared":0.020047180438228476,"predicted_lambda_over_epsilon_squared":0.02004725409205475,"relative_error":3.6740107116865684e-06,"subdivisions_per_edge":8} |
constructive:magnetic_fem:034 | constructive | magnetic_fem | floating_point | research/validation_v2/constructive_verification_results.json | /finite_element_normalization/34 | {"baseline_numerical_eigenvalue":-4.277955496146241e-12,"epsilon_radians":0.005,"flux_direction":[1,-1,1,-1],"graph":"K3_3","observed_lambda_over_epsilon_squared":0.02004707230195879,"predicted_lambda_over_epsilon_squared":0.02004725409205475,"relative_error":9.068079604544517e-06,"subdivisions_per_edge":8} |
constructive:magnetic_fem:035 | constructive | magnetic_fem | floating_point | research/validation_v2/constructive_verification_results.json | /finite_element_normalization/35 | {"baseline_numerical_eigenvalue":-4.277955496146241e-12,"epsilon_radians":0.0025,"flux_direction":[1,-1,1,-1],"graph":"K3_3","observed_lambda_over_epsilon_squared":0.020047855994852842,"predicted_lambda_over_epsilon_squared":0.02004725409205475,"relative_error":3.0024201585351136e-05,"subdivisions_per_edge":8} |
constructive:magnetic_fem:036 | constructive | magnetic_fem | floating_point | research/validation_v2/constructive_verification_results.json | /finite_element_normalization/36 | {"baseline_numerical_eigenvalue":1.8621630041480606e-13,"epsilon_radians":0.01,"flux_direction":[1,0,0,0,0],"graph":"cube","observed_lambda_over_epsilon_squared":0.04220753526693166,"predicted_lambda_over_epsilon_squared":0.042207635297581904,"relative_error":2.369965754700724e-06,"subdivisions_per_edge":4} |
constructive:magnetic_fem:037 | constructive | magnetic_fem | floating_point | research/validation_v2/constructive_verification_results.json | /finite_element_normalization/37 | {"baseline_numerical_eigenvalue":1.8621630041480606e-13,"epsilon_radians":0.005,"flux_direction":[1,0,0,0,0],"graph":"cube","observed_lambda_over_epsilon_squared":0.0422075934376391,"predicted_lambda_over_epsilon_squared":0.042207635297581904,"relative_error":9.91762331828611e-07,"subdivisions_per_edge":4} |
constructive:magnetic_fem:038 | constructive | magnetic_fem | floating_point | research/validation_v2/constructive_verification_results.json | /finite_element_normalization/38 | {"baseline_numerical_eigenvalue":1.8621630041480606e-13,"epsilon_radians":0.0025,"flux_direction":[1,0,0,0,0],"graph":"cube","observed_lambda_over_epsilon_squared":0.04220761840458033,"predicted_lambda_over_epsilon_squared":0.042207635297581904,"relative_error":4.00235679039541e-07,"subdivisions_per_edge":4} |
constructive:magnetic_fem:039 | constructive | magnetic_fem | floating_point | research/validation_v2/constructive_verification_results.json | /finite_element_normalization/39 | {"baseline_numerical_eigenvalue":1.8621630041480606e-13,"epsilon_radians":0.01,"flux_direction":[0,1,0,0,0],"graph":"cube","observed_lambda_over_epsilon_squared":0.038919346230641395,"predicted_lambda_over_epsilon_squared":0.038919404254502375,"relative_error":1.4908722805834998e-06,"subdivisions_per_edge":4} |
constructive:magnetic_fem:040 | constructive | magnetic_fem | floating_point | research/validation_v2/constructive_verification_results.json | /finite_element_normalization/40 | {"baseline_numerical_eigenvalue":1.8621630041480606e-13,"epsilon_radians":0.005,"flux_direction":[0,1,0,0,0],"graph":"cube","observed_lambda_over_epsilon_squared":0.03891937498211227,"predicted_lambda_over_epsilon_squared":0.038919404254502375,"relative_error":7.521284218721185e-07,"subdivisions_per_edge":4} |
constructive:magnetic_fem:041 | constructive | magnetic_fem | floating_point | research/validation_v2/constructive_verification_results.json | /finite_element_normalization/41 | {"baseline_numerical_eigenvalue":1.8621630041480606e-13,"epsilon_radians":0.0025,"flux_direction":[0,1,0,0,0],"graph":"cube","observed_lambda_over_epsilon_squared":0.03891931782548621,"predicted_lambda_over_epsilon_squared":0.038919404254502375,"relative_error":2.220717860967257e-06,"subdivisions_per_edge":4} |
constructive:magnetic_fem:042 | constructive | magnetic_fem | floating_point | research/validation_v2/constructive_verification_results.json | /finite_element_normalization/42 | {"baseline_numerical_eigenvalue":1.8621630041480606e-13,"epsilon_radians":0.01,"flux_direction":[1,-1,1,-1,1],"graph":"cube","observed_lambda_over_epsilon_squared":0.4164963033564125,"predicted_lambda_over_epsilon_squared":0.41650184017850134,"relative_error":1.3293631755483213e-05,"subdivisions_per_edge":4} |
constructive:magnetic_fem:043 | constructive | magnetic_fem | floating_point | research/validation_v2/constructive_verification_results.json | /finite_element_normalization/43 | {"baseline_numerical_eigenvalue":1.8621630041480606e-13,"epsilon_radians":0.005,"flux_direction":[1,-1,1,-1,1],"graph":"cube","observed_lambda_over_epsilon_squared":0.4165004534898254,"predicted_lambda_over_epsilon_squared":0.41650184017850134,"relative_error":3.32936986628299e-06,"subdivisions_per_edge":4} |
constructive:magnetic_fem:044 | constructive | magnetic_fem | floating_point | research/validation_v2/constructive_verification_results.json | /finite_element_normalization/44 | {"baseline_numerical_eigenvalue":1.8621630041480606e-13,"epsilon_radians":0.0025,"flux_direction":[1,-1,1,-1,1],"graph":"cube","observed_lambda_over_epsilon_squared":0.4165014413987832,"predicted_lambda_over_epsilon_squared":0.41650184017850134,"relative_error":9.574500750466054e-07,"subdivisions_per_edge":4} |
constructive:magnetic_fem:045 | constructive | magnetic_fem | floating_point | research/validation_v2/constructive_verification_results.json | /finite_element_normalization/45 | {"baseline_numerical_eigenvalue":-5.85393713401609e-13,"epsilon_radians":0.01,"flux_direction":[1,0,0,0,0],"graph":"cube","observed_lambda_over_epsilon_squared":0.04220754523413942,"predicted_lambda_over_epsilon_squared":0.042207635297581904,"relative_error":2.1338187237131425e-06,"subdivisions_per_edge":8} |
constructive:magnetic_fem:046 | constructive | magnetic_fem | floating_point | research/validation_v2/constructive_verification_results.json | /finite_element_normalization/46 | {"baseline_numerical_eigenvalue":-5.85393713401609e-13,"epsilon_radians":0.005,"flux_direction":[1,0,0,0,0],"graph":"cube","observed_lambda_over_epsilon_squared":0.042207551829275464,"predicted_lambda_over_epsilon_squared":0.042207635297581904,"relative_error":1.977564150459856e-06,"subdivisions_per_edge":8} |
constructive:magnetic_fem:047 | constructive | magnetic_fem | floating_point | research/validation_v2/constructive_verification_results.json | /finite_element_normalization/47 | {"baseline_numerical_eigenvalue":-5.85393713401609e-13,"epsilon_radians":0.0025,"flux_direction":[1,0,0,0,0],"graph":"cube","observed_lambda_over_epsilon_squared":0.04220744397673577,"predicted_lambda_over_epsilon_squared":0.042207635297581904,"relative_error":4.53284920564963e-06,"subdivisions_per_edge":8} |
constructive:magnetic_fem:048 | constructive | magnetic_fem | floating_point | research/validation_v2/constructive_verification_results.json | /finite_element_normalization/48 | {"baseline_numerical_eigenvalue":-5.85393713401609e-13,"epsilon_radians":0.01,"flux_direction":[0,1,0,0,0],"graph":"cube","observed_lambda_over_epsilon_squared":0.038919371047773245,"predicted_lambda_over_epsilon_squared":0.038919404254502375,"relative_error":8.532178168291981e-07,"subdivisions_per_edge":8} |
constructive:magnetic_fem:049 | constructive | magnetic_fem | floating_point | research/validation_v2/constructive_verification_results.json | /finite_element_normalization/49 | {"baseline_numerical_eigenvalue":-5.85393713401609e-13,"epsilon_radians":0.005,"flux_direction":[0,1,0,0,0],"graph":"cube","observed_lambda_over_epsilon_squared":0.03891934693238444,"predicted_lambda_over_epsilon_squared":0.038919404254502375,"relative_error":1.4728416077338327e-06,"subdivisions_per_edge":8} |
constructive:magnetic_fem:050 | constructive | magnetic_fem | floating_point | research/validation_v2/constructive_verification_results.json | /finite_element_normalization/50 | {"baseline_numerical_eigenvalue":-5.85393713401609e-13,"epsilon_radians":0.0025,"flux_direction":[0,1,0,0,0],"graph":"cube","observed_lambda_over_epsilon_squared":0.03891935151247278,"predicted_lambda_over_epsilon_squared":0.038919404254502375,"relative_error":1.3551602499612459e-06,"subdivisions_per_edge":8} |
constructive:magnetic_fem:051 | constructive | magnetic_fem | floating_point | research/validation_v2/constructive_verification_results.json | /finite_element_normalization/51 | {"baseline_numerical_eigenvalue":-5.85393713401609e-13,"epsilon_radians":0.01,"flux_direction":[1,-1,1,-1,1],"graph":"cube","observed_lambda_over_epsilon_squared":0.4164959931277962,"predicted_lambda_over_epsilon_squared":0.41650184017850134,"relative_error":1.403847508237697e-05,"subdivisions_per_edge":8} |
constructive:magnetic_fem:052 | constructive | magnetic_fem | floating_point | research/validation_v2/constructive_verification_results.json | /finite_element_normalization/52 | {"baseline_numerical_eigenvalue":-5.85393713401609e-13,"epsilon_radians":0.005,"flux_direction":[1,-1,1,-1,1],"graph":"cube","observed_lambda_over_epsilon_squared":0.4165004882459936,"predicted_lambda_over_epsilon_squared":0.41650184017850134,"relative_error":3.2459220519675867e-06,"subdivisions_per_edge":8} |
constructive:magnetic_fem:053 | constructive | magnetic_fem | floating_point | research/validation_v2/constructive_verification_results.json | /finite_element_normalization/53 | {"baseline_numerical_eigenvalue":-5.85393713401609e-13,"epsilon_radians":0.0025,"flux_direction":[1,-1,1,-1,1],"graph":"cube","observed_lambda_over_epsilon_squared":0.4165017558655764,"predicted_lambda_over_epsilon_squared":0.41650184017850134,"relative_error":2.0243109822364992e-07,"subdivisions_per_edge":8} |
constructive:determinant_examples:000 | constructive | determinant_examples | exact_rational | research/validation_v2/constructive_verification_results.json | /critical_coupling/determinant_examples/0 | {"T_diagonal":["8","11","15","20"],"alphas":["1","409408/411727"],"interaction_commutes_with_T":false,"positive_axis_ratios":[["1","1836929658611/1846222158611"],["1","13391028939644704/13465970797066579"],["1","446638650884345544164/449165467490585778539"]],"rank_bound":1,"reconstructed_D_T_coefficients":["1","439/132... |
constructive:determinant_examples:001 | constructive | determinant_examples | exact_rational | research/validation_v2/constructive_verification_results.json | /critical_coupling/determinant_examples/1 | {"T_diagonal":["8","11","15","20"],"alphas":["1","32737784272/32934419017","32410420377/32934419017"],"interaction_commutes_with_T":false,"positive_axis_ratios":[["1","141015068697322583471423/141785268781565429096423","744559883140810372015921/755505640912581432015921"],["1","899471418925000999551657863/90482025830681... |
constructive:determinant_examples:002 | constructive | determinant_examples | exact_rational | research/validation_v2/constructive_verification_results.json | /critical_coupling/determinant_examples/2 | {"T_diagonal":["8","11","15","20"],"alphas":["1","51118780571008/51451353512047","50567376082263/51451353512047","49801449344512/51451353512047"],"interaction_commutes_with_T":false,"positive_axis_ratios":[["1","32253342444321695398202747723/32442628472074044320689763348","1361298532042711142493271690253/13827582060162... |
constructive:critical_cutoff_inertia_examples:000 | constructive | critical_cutoff_inertia_examples | exact_rational | research/validation_v2/constructive_verification_results.json | /critical_coupling/critical_cutoff_inertia_examples/0 | {"a":"1/4","effective_count_below_cutoff_over_a":0,"physical_count_below_cutoff":0,"u":"1"} |
constructive:critical_cutoff_inertia_examples:001 | constructive | critical_cutoff_inertia_examples | exact_rational | research/validation_v2/constructive_verification_results.json | /critical_coupling/critical_cutoff_inertia_examples/1 | {"a":"1/9","effective_count_below_cutoff_over_a":1,"physical_count_below_cutoff":1,"u":"1"} |
constructive:critical_cutoff_inertia_examples:002 | constructive | critical_cutoff_inertia_examples | exact_rational | research/validation_v2/constructive_verification_results.json | /critical_coupling/critical_cutoff_inertia_examples/2 | {"a":"1/16","effective_count_below_cutoff_over_a":3,"physical_count_below_cutoff":3,"u":"1"} |
constructive:critical_cutoff_inertia_examples:003 | constructive | critical_cutoff_inertia_examples | exact_rational | research/validation_v2/constructive_verification_results.json | /critical_coupling/critical_cutoff_inertia_examples/3 | {"a":"1/25","effective_count_below_cutoff_over_a":4,"physical_count_below_cutoff":4,"u":"1"} |
constructive:critical_cutoff_inertia_examples:004 | constructive | critical_cutoff_inertia_examples | exact_rational | research/validation_v2/constructive_verification_results.json | /critical_coupling/critical_cutoff_inertia_examples/4 | {"a":"1/100","effective_count_below_cutoff_over_a":4,"physical_count_below_cutoff":4,"u":"1"} |
constructive:critical_cutoff_inertia_examples:005 | constructive | critical_cutoff_inertia_examples | exact_rational | research/validation_v2/constructive_verification_results.json | /critical_coupling/critical_cutoff_inertia_examples/5 | {"a":"1/4","effective_count_below_cutoff_over_a":0,"physical_count_below_cutoff":0,"u":"4"} |
constructive:critical_cutoff_inertia_examples:006 | constructive | critical_cutoff_inertia_examples | exact_rational | research/validation_v2/constructive_verification_results.json | /critical_coupling/critical_cutoff_inertia_examples/6 | {"a":"1/9","effective_count_below_cutoff_over_a":1,"physical_count_below_cutoff":1,"u":"4"} |
constructive:critical_cutoff_inertia_examples:007 | constructive | critical_cutoff_inertia_examples | exact_rational | research/validation_v2/constructive_verification_results.json | /critical_coupling/critical_cutoff_inertia_examples/7 | {"a":"1/16","effective_count_below_cutoff_over_a":3,"physical_count_below_cutoff":3,"u":"4"} |
constructive:critical_cutoff_inertia_examples:008 | constructive | critical_cutoff_inertia_examples | exact_rational | research/validation_v2/constructive_verification_results.json | /critical_coupling/critical_cutoff_inertia_examples/8 | {"a":"1/25","effective_count_below_cutoff_over_a":4,"physical_count_below_cutoff":4,"u":"4"} |
constructive:critical_cutoff_inertia_examples:009 | constructive | critical_cutoff_inertia_examples | exact_rational | research/validation_v2/constructive_verification_results.json | /critical_coupling/critical_cutoff_inertia_examples/9 | {"a":"1/100","effective_count_below_cutoff_over_a":4,"physical_count_below_cutoff":4,"u":"4"} |
constructive:critical_cutoff_inertia_examples:010 | constructive | critical_cutoff_inertia_examples | exact_rational | research/validation_v2/constructive_verification_results.json | /critical_coupling/critical_cutoff_inertia_examples/10 | {"a":"1/4","effective_count_below_cutoff_over_a":0,"physical_count_below_cutoff":0,"u":"9"} |
constructive:critical_cutoff_inertia_examples:011 | constructive | critical_cutoff_inertia_examples | exact_rational | research/validation_v2/constructive_verification_results.json | /critical_coupling/critical_cutoff_inertia_examples/11 | {"a":"1/9","effective_count_below_cutoff_over_a":1,"physical_count_below_cutoff":1,"u":"9"} |
constructive:critical_cutoff_inertia_examples:012 | constructive | critical_cutoff_inertia_examples | exact_rational | research/validation_v2/constructive_verification_results.json | /critical_coupling/critical_cutoff_inertia_examples/12 | {"a":"1/16","effective_count_below_cutoff_over_a":3,"physical_count_below_cutoff":3,"u":"9"} |
constructive:critical_cutoff_inertia_examples:013 | constructive | critical_cutoff_inertia_examples | exact_rational | research/validation_v2/constructive_verification_results.json | /critical_coupling/critical_cutoff_inertia_examples/13 | {"a":"1/25","effective_count_below_cutoff_over_a":4,"physical_count_below_cutoff":4,"u":"9"} |
constructive:critical_cutoff_inertia_examples:014 | constructive | critical_cutoff_inertia_examples | exact_rational | research/validation_v2/constructive_verification_results.json | /critical_coupling/critical_cutoff_inertia_examples/14 | {"a":"1/100","effective_count_below_cutoff_over_a":4,"physical_count_below_cutoff":4,"u":"9"} |
noisy_counterexamples:moment_certificate:000 | noisy_counterexamples | moment_certificate | exact_rational_with_log_display | research/validation_v2/noisy_counterexamples_results.json | /certified_examples/0 | {"band_X":"1","base_scale":"1/64","common_component":"23/32","d1":{"exact":"1/16","log10":-1.2041199826559248},"data_midpoint_noise_radius":{"exact":"66097687601/33836960317440","log10":-2.7092050759075814},"envelope_squared_A":"1","envelope_squared_B":"25/32","first_unmatched_even_degree":4,"m":1,"matched_even_degrees... |
noisy_counterexamples:moment_certificate:001 | noisy_counterexamples | moment_certificate | exact_rational_with_log_display | research/validation_v2/noisy_counterexamples_results.json | /certified_examples/1 | {"band_X":"10","base_scale":"1/64","common_component":"23/32","d1":{"exact":"1/16","log10":-1.2041199826559248},"data_midpoint_noise_radius":{"exact":"6689106875/39337984","log10":2.2305560355820715},"envelope_squared_A":"1","envelope_squared_B":"25/32","first_unmatched_even_degree":4,"m":1,"matched_even_degrees":[2],"... |
noisy_counterexamples:moment_certificate:002 | noisy_counterexamples | moment_certificate | exact_rational_with_log_display | research/validation_v2/noisy_counterexamples_results.json | /certified_examples/2 | {"band_X":"1","base_scale":"1/64","common_component":"311/320","d1":{"exact":"1/160","log10":-2.204119982655925},"data_midpoint_noise_radius":{"exact":"5676547628081/33836960317440000000","log10":-6.77530705597704},"envelope_squared_A":"311/320","envelope_squared_B":"311/320","first_unmatched_even_degree":4,"m":1,"matc... |
noisy_counterexamples:moment_certificate:003 | noisy_counterexamples | moment_certificate | exact_rational_with_log_display | research/validation_v2/noisy_counterexamples_results.json | /certified_examples/3 | {"band_X":"10","base_scale":"1/64","common_component":"311/320","d1":{"exact":"1/160","log10":-2.204119982655925},"data_midpoint_noise_radius":{"exact":"66097687601/33836960317440","log10":-2.7092050759075814},"envelope_squared_A":"311/320","envelope_squared_B":"311/320","first_unmatched_even_degree":4,"m":1,"matched_e... |
noisy_counterexamples:moment_certificate:004 | noisy_counterexamples | moment_certificate | exact_rational_with_log_display | research/validation_v2/noisy_counterexamples_results.json | /certified_examples/4 | {"band_X":"1","base_scale":"1/64","common_component":"3191/3200","d1":{"exact":"1/1600","log10":-3.204119982655925},"data_midpoint_noise_radius":{"exact":"566721541676081/33836960317440000000000000","log10":-10.776021621113603},"envelope_squared_A":"3191/3200","envelope_squared_B":"3191/3200","first_unmatched_even_degr... |
noisy_counterexamples:moment_certificate:005 | noisy_counterexamples | moment_certificate | exact_rational_with_log_display | research/validation_v2/noisy_counterexamples_results.json | /certified_examples/5 | {"band_X":"10","base_scale":"1/64","common_component":"3191/3200","d1":{"exact":"1/1600","log10":-3.204119982655925},"data_midpoint_noise_radius":{"exact":"5676547628081/33836960317440000000","log10":-6.77530705597704},"envelope_squared_A":"3191/3200","envelope_squared_B":"3191/3200","first_unmatched_even_degree":4,"m"... |
noisy_counterexamples:moment_certificate:006 | noisy_counterexamples | moment_certificate | exact_rational_with_log_display | research/validation_v2/noisy_counterexamples_results.json | /certified_examples/6 | {"band_X":"1","base_scale":"1/64","common_component":"319991/320000","d1":{"exact":"1/160000","log10":-5.204119982655925},"data_midpoint_noise_radius":{"exact":"5667121161426476081/33836960317440000000000000000000000000","log10":-18.776028844222132},"envelope_squared_A":"319991/320000","envelope_squared_B":"319991/3200... |
noisy_counterexamples:moment_certificate:007 | noisy_counterexamples | moment_certificate | exact_rational_with_log_display | research/validation_v2/noisy_counterexamples_results.json | /certified_examples/7 | {"band_X":"10","base_scale":"1/64","common_component":"319991/320000","d1":{"exact":"1/160000","log10":-5.204119982655925},"data_midpoint_noise_radius":{"exact":"56671220946476081/33836960317440000000000000000000","log10":-14.776028772705615},"envelope_squared_A":"319991/320000","envelope_squared_B":"319991/320000","fi... |
noisy_counterexamples:moment_certificate:008 | noisy_counterexamples | moment_certificate | exact_rational_with_log_display | research/validation_v2/noisy_counterexamples_results.json | /certified_examples/8 | {"band_X":"1","base_scale":"1/1728","common_component":"61/72","d1":{"exact":"1/108","log10":-2.03342375548695},"data_midpoint_noise_radius":{"exact":"749817288530787865201/35243970664138365141641110487040","log10":-10.67212938135376},"envelope_squared_A":"845/864","envelope_squared_B":"1","first_unmatched_even_degree"... |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.