Recorded data and provenance for the associated calculation.
| started_utc | 2026-09-08T04:55:01.098399+00:00 |
|---|---|
| h | 0.07 |
| original_h | 0.04 |
| predictor_tangent_norm | 9.923189976630194 |
| predictor_unmatched_forcing | 4.710098289128562e-11 |
| period | 21.880357507078553 |
| status | numerically accepted |
| casimir_error | 4.440892098500626e-16 |
| seconds | 116.80768590210937 |
View complete data
{
"started_utc": "2026-09-08T04:55:01.098399+00:00",
"h": 0.07,
"original_h": 0.04,
"derivative_errors": {
"field": 4.547473508864641e-13,
"field_value": 7.105427357601002e-15,
"chart": 1.1294065682676546e-10,
"parameter": 2.8110491712141084e-10
},
"affine_gauge": [
[
8.91246637414005e-16,
-6.41277075653405e-17,
0.6492229427590448,
-0.17206596645029135,
-0.6595127687877519,
-0.030392408843406077,
0.04511908071495704,
0.2724504615183209,
-0.002211656994377518,
-0.03418917523118455,
0.1856493829875575,
-0.0321847650683363,
-0.009041792604256506
],
[
-2.991300162878888e-16,
1.3718583541285351e-16,
-0.026949719611623187,
0.01163852685077998,
0.2510958324240067,
0.011571280434051106,
-0.0006419501234630351,
0.6163681272814636,
0.000586924965315479,
-0.2296377511275896,
-0.06996883585675813,
-0.70597722019492,
0.0034424753365238044
]
],
"predictor_tangent_norm": 9.923189976630194,
"predictor_unmatched_forcing": 4.710098289128562e-11,
"state": [
0.9999999999999994,
6.484587782647384e-17,
-0.11934509344372699,
-0.5022580683118302,
0.12225554952591551,
-0.12698350890995858,
0.8856939700701446,
-0.04661233850836312,
1.71055184769288,
-0.860374211833069,
-0.01843907852433879,
-0.0011946025685680046,
0.34209618430066924,
1.4284051358462975
],
"variables": [
0.9999999999999994,
6.484587782647384e-17,
-0.11934509344372699,
-0.5022580683118302,
0.12225554952591551,
-0.12698350890995858,
0.8856939700701446,
-0.04661233850836312,
-0.04408421866247905,
-0.0058427558491786335,
0.4613726316072731,
-0.030277798209658143,
3.0855893168662964
],
"period": 21.880357507078553,
"history": [
{
"iteration": 0,
"residual": 0.7251588687881835,
"singular_values": [
67.94175405242615,
17.356175981971838,
8.618056473251354,
5.257972215419439,
3.7258858877660135,
2.9712126002917145,
1.268409866250811,
1.1731499910728664,
1.0942155128948199,
1.0093338044877485,
0.8546281438389314,
0.5765352223514872,
0.13785052244957435
],
"step_norm": 0.09999999999999999,
"predicted_residual": 0.633969941123575,
"fraction": 1.0,
"trial_residual": 0.6920929115754687,
"seconds": 10.243588377023116
},
{
"iteration": 1,
"residual": 0.6920929115770977,
"singular_values": [
68.37855726258586,
18.319886632326984,
9.351365658741152,
6.130496960546873,
4.010065414308841,
3.136029608511725,
1.2856789311178611,
1.179146546202148,
1.083374236071249,
1.0086162197689705,
0.8527972450420931,
0.5855703318578128,
0.16415167000615294
],
"step_norm": 0.1,
"predicted_residual": 0.53601326217154,
"fraction": 1.0,
"trial_residual": 0.5982711850456797,
"seconds": 10.683017816045322
},
{
"iteration": 2,
"residual": 0.598271185047368,
"singular_values": [
68.08668361882755,
19.55337824301453,
10.245979241237318,
7.071036564022761,
4.39429052998797,
3.3191829248365465,
1.2911897715609075,
1.1751039043769231,
1.0606767884563388,
1.0024554285048901,
0.8420956730938256,
0.5891034610749226,
0.19132252821515183
],
"step_norm": 0.1,
"predicted_residual": 0.12731814940436842,
"fraction": 1.0,
"trial_residual": 0.18443151999018895,
"seconds": 4.745830742991529
},
{
"iteration": 3,
"residual": 0.18443151999101634,
"singular_values": [
62.47339843019866,
20.91612638077497,
11.21938289144264,
7.4082282181899455,
5.456805090274177,
3.4577932446507864,
1.1949294768293797,
1.1431544961531812,
1.0063483118674994,
0.9959615698865247,
0.8204051239376463,
0.5748116955495652,
0.24443524028024288
],
"step_norm": 0.1,
"predicted_residual": 0.11340444451337861,
"fraction": 0.5,
"trial_residual": 0.16309066357041307,
"seconds": 11.147279354045168
},
{
"iteration": 4,
"residual": 0.1630906635723079,
"singular_values": [
61.87235434564681,
20.126105247506164,
10.713835677627436,
6.855616317983477,
5.307252814799471,
3.3528023173760704,
1.1785237332259488,
1.1413110624548146,
1.0085337345235756,
0.9964067680492009,
0.8231465338964842,
0.5741675693497076,
0.2371961259896451
],
"step_norm": 0.1,
"predicted_residual": 0.08759368318378917,
"fraction": 0.5,
"trial_residual": 0.14023245830683037,
"seconds": 13.153753704042174
},
{
"iteration": 5,
"residual": 0.14023245830946132,
"singular_values": [
61.30013993776487,
19.49807127853347,
10.276021040593225,
6.349564505990034,
5.155957315994181,
3.271206054334507,
1.1758846837222419,
1.125862156678364,
1.0081678126726337,
0.9962354778358717,
0.8225612934408373,
0.5718115394380827,
0.22862981636699323
],
"step_norm": 0.1,
"predicted_residual": 0.059032718393917306,
"fraction": 0.5,
"trial_residual": 0.11509686765237374,
"seconds": 18.303240339038894
},
{
"iteration": 6,
"residual": 0.1150968676541883,
"singular_values": [
60.761054721709,
18.99972320996866,
9.896681250118627,
5.885259432120612,
5.004382804123038,
3.2089630742609643,
1.182031658918259,
1.1010433935529733,
1.0062747392329388,
0.9954242961145856,
0.8184689082525947,
0.5672624845375744,
0.21916609192137212
],
"step_norm": 0.1,
"predicted_residual": 0.025966231195337412,
"fraction": 0.5,
"trial_residual": 0.08636049332588747,
"seconds": 6.649954144028015
},
{
"iteration": 7,
"residual": 0.08636049332727336,
"singular_values": [
60.25538982007148,
18.610619462662253,
9.569961427441331,
5.457085071472916,
4.856334814002586,
3.1628580214075797,
1.1904949525585447,
1.073124931365513,
1.0037759362588556,
0.9934640706259988,
0.8107199302506061,
0.5597158515027791,
0.20927013172996925
],
"step_norm": 0.08301177698770323,
"predicted_residual": 0.004129968521562438,
"fraction": 1.0,
"trial_residual": 0.04729762847690373,
"seconds": 4.84728967002593
},
{
"iteration": 8,
"residual": 0.047297628478919204,
"singular_values": [
59.68397969273643,
18.12876887226713,
9.112237409416068,
4.844266303108098,
4.5947147225583995,
3.109735687292292,
1.2038101071358696,
1.0325863075135424,
1.0002810064516157,
0.9844236703752662,
0.7917030874964743,
0.5413952277005435,
0.19055473038233536
],
"step_norm": 0.005997174213716989,
"predicted_residual": 0.0008181901820088025,
"fraction": 1.0,
"trial_residual": 0.0007280282740152917,
"seconds": 4.504602462053299
},
{
"iteration": 9,
"residual": 0.0007280282760354172,
"singular_values": [
59.32588297040145,
18.228989280462535,
9.15189814257904,
4.758236378464345,
4.6619491999632965,
3.121624430745635,
1.2078659682553063,
1.0263898766485071,
1.0004615703320856,
0.9761140368721755,
0.7858935792079749,
0.5291215060701526,
0.19579876701987278
],
"step_norm": 0.0009197251399217215,
"predicted_residual": 2.205810806674646e-07,
"fraction": 1.0,
"trial_residual": 1.3246623212944263e-05,
"seconds": 4.52996081195306
},
{
"iteration": 10,
"residual": 1.3246625921168294e-05,
"singular_values": [
59.30233632412823,
18.231702570740662,
9.151185735806902,
4.755231825396338,
4.657719474727346,
3.1211741756630693,
1.2081180699445235,
1.0262900999336362,
1.0004678571957202,
0.9761002519879948,
0.7855288019366974,
0.5294179876493192,
0.19558420175560542
],
"step_norm": 1.7372497966345957e-06,
"predicted_residual": 6.24322794202221e-11,
"fraction": 1.0,
"trial_residual": 1.884643748864017e-11,
"seconds": 4.628788962960243
},
{
"iteration": 11,
"residual": 1.6933183518197585e-11,
"singular_values": [
59.302296992608525,
18.23168474081153,
9.151185919285929,
4.755235698669281,
4.6577337127928145,
3.1211692021614645,
1.2081190375666915,
1.0262887899100757,
1.0004678662858562,
0.9760991662814699,
0.785528601400121,
0.5294204607989976,
0.19558501700716346
],
"step_norm": 3.229980286455285e-11,
"predicted_residual": 8.414410537308929e-14
}
],
"status": "numerically accepted",
"casimir_error": 4.440892098500626e-16,
"verification": {
"runs": [
{
"rtol": 3e-09,
"atol": 3e-11,
"substeps": 180,
"residual": 3.4337975977039565e-06
},
{
"rtol": 1e-12,
"atol": 1e-14,
"substeps": 1200,
"residual": 5.544464784243377e-10
},
{
"rtol": 2.5e-14,
"atol": 1e-15,
"substeps": 2400,
"residual": 5.242104722686883e-09
}
],
"endpoint_refinement": 4.689601407589378e-09,
"coarse_endpoint_error": 3.439016232596519e-06,
"recurrence_tolerance": 1e-07,
"numerically_accepted": true
},
"seconds": 116.80768590210937
}