1{
2 "format": "fastandaccurate-result",
3 "formatVersion": 1,
4 "problem": "laplace-dirichlet-2d",
5 "problemVersion": 1,
6 "instance": "star-medium",
7 "spec": {
8 "a": 0.2,
9 "d": 0.4,
10 "instance": "star-medium",
11 "k": 3,
12 "problem": "laplace-dirichlet-2d",
13 "problemVersion": 1
14 },
15 "specHash": "12e35e4a645cf2c72f224e1d6e24d2d01b881b46c77ccadb2f2b013c1eb2deae",
16 "solver": {
17 "id": "mfs-gpu",
18 "version": "1.0.0",
19 "backend": "gpu",
20 "source": "builtin"
21 },
22 "environment": {
23 "kind": "node",
24 "runtime": "node v24.14.1",
25 "gpu": "Intel open-source Mesa driver: Mesa 25.0.7-2+deb13u1 (node-webgpu (Google Dawn))",
26 "os": "linux 6.12.101+deb13-amd64",
27 "cpu": "13th Gen Intel(R) Core(TM) i7-1355U",
28 "machineLabel": "linux laptop (i7-1355U)",
29 "browserReproducible": true
30 },
31 "protocol": {
32 "warmupRuns": 2,
33 "minTimedRuns": 5,
34 "timeBudgetSeconds": 0.5,
35 "maxTimedRuns": 50,
36 "statistic": "min",
37 "timer": "host clock around submit and read-back"
38 },
39 "createdUtc": "2026-08-18T22:32:22.615Z",
40 "points": [
41 {
42 "n": 8,
43 "solveSeconds": 0.0005597659999993993,
44 "solveSecondsAll": [
45 0.0007015540000002147,
46 0.0006668190000000322,
47 0.000674431999999797,
48 0.0006317410000001474,
49 0.0006412470000004759,
50 0.0007390230000000884,
51 0.0006423139999997147,
52 0.0006025989999998274,
53 0.0006198879999992641,
54 0.0007036959999995816,
55 0.0006312950000001365,
56 0.000625332000000526,
57 0.0006325740000002043,
58 0.0006266179999993255,
59 0.0006629320000001826,
60 0.0008334230000000388,
61 0.000653730999999425,
62 0.000609958999999435,
63 0.0006733789999998407,
64 0.0006058849999999439,
65 0.0006405010000007679,
66 0.0006650559999998222,
67 0.0006114459999998871,
68 0.0006394820000004983,
69 0.0007581339999996998,
70 0.0008672139999998762,
71 0.000681496999999581,
72 0.0006571030000004611,
73 0.0006549349999995684,
74 0.0006530520000005708,
75 0.0006397610000003624,
76 0.0006079929999996238,
77 0.0006401220000007015,
78 0.0006405410000006668,
79 0.0008247660000006363,
80 0.0006831769999998869,
81 0.0006891829999995025,
82 0.0006211229999998978,
83 0.0006706639999993059,
84 0.0005782249999992928,
85 0.0006015500000003158,
86 0.0006182760000001508,
87 0.0006278999999994995,
88 0.0005919860000003609,
89 0.0005956020000003263,
90 0.0006430700000000797,
91 0.0005788179999999557,
92 0.0005597659999993993,
93 0.000702553999999509,
94 0.0005935639999997875
95 ],
96 "coldSeconds": 0.0011120410000003175,
97 "relMax": 0.2610542319917354,
98 "relL2": 0.10633388300176079
99 },
100 {
101 "n": 12,
102 "solveSeconds": 0.0006831670000001396,
103 "solveSecondsAll": [
104 0.0007305050000004485,
105 0.0007417220000006636,
106 0.0007138039999999819,
107 0.0007294069999998101,
108 0.0007490100000004531,
109 0.0007244210000008025,
110 0.0007109989999999016,
111 0.0007155869999996866,
112 0.0007239380000000893,
113 0.0006976899999999659,
114 0.0007153109999999287,
115 0.000705749000000651,
116 0.0007965369999992617,
117 0.0007888590000002296,
118 0.0007094970000007379,
119 0.0006841709999998784,
120 0.0006985839999997552,
121 0.000713116999999329,
122 0.0007257810000000972,
123 0.0007155750000001717,
124 0.0007232960000001185,
125 0.0006871120000005249,
126 0.0007105969999993249,
127 0.0007287610000003042,
128 0.0007023559999997815,
129 0.000781724999999824,
130 0.0007081289999996443,
131 0.0006983450000006997,
132 0.0007401639999998224,
133 0.0006967530000001716,
134 0.0007138199999999416,
135 0.0007085409999999684,
136 0.0007113120000003619,
137 0.0007086590000008072,
138 0.0007973620000002484,
139 0.0007995750000000044,
140 0.0006905870000000505,
141 0.0007067229999993288,
142 0.0006997529999998733,
143 0.0007852749999992739,
144 0.0007050550000003568,
145 0.0007014099999996689,
146 0.0007658039999996618,
147 0.000772675999999592,
148 0.0006831670000001396,
149 0.0007291180000001987,
150 0.0006959600000000137,
151 0.0007730789999995977,
152 0.0007183239999994839,
153 0.0007654500000007829
154 ],
155 "coldSeconds": 0.0007666290000006484,
156 "relMax": 0.06707308879215164,
157 "relL2": 0.027444695723973785
158 },
159 {
160 "n": 16,
161 "solveSeconds": 0.0008346350000001621,
162 "solveSecondsAll": [
163 0.0010829860000003465,
164 0.0011965259999997216,
165 0.0012828339999996388,
166 0.0015282450000004247,
167 0.001260949000000437,
168 0.0012651009999999588,
169 0.001252810999999383,
170 0.0011871079999991707,
171 0.0009855149999993954,
172 0.0009002300000001924,
173 0.0010183089999991353,
174 0.0008880810000000565,
175 0.0009534480000002077,
176 0.0008415080000004309,
177 0.0009689369999996416,
178 0.0009166370000002644,
179 0.0009265560000003461,
180 0.0010289079999993192,
181 0.001019854000000123,
182 0.0008964679999999135,
183 0.0009526240000004691,
184 0.0008670979999997144,
185 0.000861229999999523,
186 0.0009047309999996286,
187 0.0008346350000001621,
188 0.0008625110000002678,
189 0.0009361060000001089,
190 0.0008383469999998851,
191 0.0008422730000002047,
192 0.0009188690000000861,
193 0.0009314690000001065,
194 0.0008353319999996529,
195 0.0011977929999993648,
196 0.0009531680000000051,
197 0.0008888969999998153,
198 0.0009349660000007134,
199 0.0009779060000000754,
200 0.0008563879999992423,
201 0.0008994570000004387,
202 0.0009456630000004224,
203 0.0008746380000002319,
204 0.0008416889999998602,
205 0.0009165629999997691,
206 0.0008530729999993127,
207 0.0008392270000003918,
208 0.0008872530000007828,
209 0.0008417230000004565,
210 0.0009164900000005219,
211 0.0008581640000002153,
212 0.0009356809999999314
213 ],
214 "coldSeconds": 0.001140849000000344,
215 "relMax": 0.030352233154833236,
216 "relL2": 0.009245163066738941
217 },
218 {
219 "n": 24,
220 "solveSeconds": 0.0010182290000002468,
221 "solveSecondsAll": [
222 0.001295945999999276,
223 0.0012438560000000507,
224 0.0013024079999995593,
225 0.0012106119999998554,
226 0.0011615560000000187,
227 0.001130605999999716,
228 0.0011045130000002245,
229 0.0012043810000004669,
230 0.001094395999999506,
231 0.0011916339999997944,
232 0.0011253989999995611,
233 0.0011349339999997027,
234 0.00120453500000076,
235 0.0011483109999999215,
236 0.0011152460000002976,
237 0.0010785729999997784,
238 0.001110987000000023,
239 0.001102943000000778,
240 0.001100651000000653,
241 0.0011308099999996558,
242 0.0011107380000003105,
243 0.0010936279999996259,
244 0.001084606999999778,
245 0.0014195270000000163,
246 0.0011397720000004483,
247 0.0011674020000000383,
248 0.0011041789999999309,
249 0.001082368000000315,
250 0.0011627509999998437,
251 0.001138358999999582,
252 0.0011334429999997155,
253 0.0010963149999997767,
254 0.001079131999999845,
255 0.001103226000000177,
256 0.0010832970000001297,
257 0.001087296000000606,
258 0.0010441529999998238,
259 0.0010375889999995707,
260 0.0010182290000002468,
261 0.0010595379999995202,
262 0.001100894000000153,
263 0.0011702839999998104,
264 0.0010992180000002918,
265 0.0011141509999997652,
266 0.0010656719999997222,
267 0.0010651229999994029,
268 0.0016160849999996571,
269 0.0017206599999999525,
270 0.001166163000000779,
271 0.0010867620000008173
272 ],
273 "coldSeconds": 0.001177307999999357,
274 "relMax": 0.008778767076929235,
275 "relL2": 0.002332705414075744
276 },
277 {
278 "n": 32,
279 "solveSeconds": 0.0012931549999993877,
280 "solveSecondsAll": [
281 0.0020156290000004446,
282 0.0014115170000004581,
283 0.0013649360000008528,
284 0.001331543000000238,
285 0.001346835999999712,
286 0.0013067670000000361,
287 0.00132235799999944,
288 0.0013016099999995276,
289 0.001352933000000121,
290 0.0013119400000005043,
291 0.001301980000000185,
292 0.0012931549999993877,
293 0.001346378999999615,
294 0.0013361740000000283,
295 0.0013192079999998895,
296 0.0013688979999997174,
297 0.0014006429999999454,
298 0.0021183000000000902,
299 0.0017168719999999668,
300 0.0023424859999995533,
301 0.0015233399999997346,
302 0.0015080189999998766,
303 0.0015070889999997234,
304 0.0017385390000008555,
305 0.0015724350000000413,
306 0.001852418999999827,
307 0.001881507000000056,
308 0.0014228439999997135,
309 0.0013993110000001252,
310 0.001582666999999674,
311 0.001415367999999944,
312 0.001329885000000104,
313 0.001407677999999578,
314 0.0013317250000000058,
315 0.001374695999999858,
316 0.001353769000000284,
317 0.0013798180000003412,
318 0.0013235679999997955,
319 0.001374149999999645,
320 0.0013271160000003874,
321 0.0013684739999998783,
322 0.0013449199999995471,
323 0.0021333089999998264,
324 0.0015332070000004024,
325 0.0014133670000001076,
326 0.0014114159999999174,
327 0.0014167379999998958,
328 0.0014026749999993626,
329 0.001415881000000809,
330 0.0013441869999996925
331 ],
332 "coldSeconds": 0.001762575000000652,
333 "relMax": 0.0007044457464333169,
334 "relL2": 0.00020854901801986193
335 },
336 {
337 "n": 48,
338 "solveSeconds": 0.0017502599999997983,
339 "solveSecondsAll": [
340 0.001868481999999858,
341 0.001832687000000078,
342 0.0018238219999993817,
343 0.0017784089999995558,
344 0.0018533129999996163,
345 0.001778015000000778,
346 0.0017502599999997983,
347 0.0018214769999995043,
348 0.0017749190000004092,
349 0.0018304000000007364,
350 0.0017837659999995594,
351 0.0017671000000000277,
352 0.0018718810000000303,
353 0.0017767180000000736,
354 0.0017928799999999683,
355 0.001827993000000788,
356 0.001781159999999545,
357 0.0017802110000002358,
358 0.00185006599999997,
359 0.00181403599999976,
360 0.019187324999999873,
361 0.0020922350000000733,
362 0.0020071760000000723,
363 0.002749007999999776,
364 0.0024614900000005948,
365 0.003124635000000126,
366 0.0021799750000000132,
367 0.0019992309999997816,
368 0.0019472020000002885,
369 0.0020450700000001236,
370 0.002159560000000056,
371 0.002544007999999849,
372 0.0021957720000000337,
373 0.0020910249999997175,
374 0.0019427270000005592,
375 0.001974685000000136,
376 0.001937616999999591,
377 0.0018999899999998888,
378 0.0019266769999994721,
379 0.0018637509999998656,
380 0.0019763899999998102,
381 0.0018983799999996336,
382 0.0019629439999998793,
383 0.0018728119999996125,
384 0.0019708490000002713,
385 0.0018764890000002197,
386 0.001983556999999564,
387 0.0018974779999998644,
388 0.0018986329999997906,
389 0.0019479129999999713
390 ],
391 "coldSeconds": 0.0019249820000004547,
392 "relMax": 0.000017442738660985642,
393 "relL2": 0.000005376960639534771
394 },
395 {
396 "n": 64,
397 "solveSeconds": 0.0022299659999998767,
398 "solveSecondsAll": [
399 0.002442851000000701,
400 0.0023444399999998497,
401 0.002378396000000066,
402 0.002426021000000219,
403 0.0023285540000006224,
404 0.002296736999999666,
405 0.0022878679999994347,
406 0.002284648000000743,
407 0.0023858030000001237,
408 0.002327252000000044,
409 0.0022910889999993743,
410 0.0023113139999995837,
411 0.002392703999999867,
412 0.002367048000000068,
413 0.002292765000000145,
414 0.0022712979999996606,
415 0.002249840999999833,
416 0.0023350419999997028,
417 0.0022600050000000918,
418 0.0023660680000002687,
419 0.0022389039999998204,
420 0.0022486920000001193,
421 0.002253754999999728,
422 0.0023437489999996613,
423 0.0026368409999995494,
424 0.0025164510000004157,
425 0.0025806880000000094,
426 0.0028942100000003846,
427 0.0024170070000000122,
428 0.002357716999999866,
429 0.002306163999999626,
430 0.0024228579999999054,
431 0.0025396849999997357,
432 0.0030876820000003136,
433 0.0027461910000001807,
434 0.002437832000000526,
435 0.0023750690000006215,
436 0.0022753699999993843,
437 0.002320668999999725,
438 0.0022653230000005352,
439 0.002248728999999912,
440 0.002242181999999957,
441 0.0022849910000004455,
442 0.002250878000000739,
443 0.0023664950000002135,
444 0.0022447009999996227,
445 0.0022459859999999026,
446 0.0022299659999998767,
447 0.002316165999999612,
448 0.0022701660000002447
449 ],
450 "coldSeconds": 0.0024214000000001763,
451 "relMax": 0.00000161727764080065,
452 "relL2": 5.1530446722271e-7
453 },
454 {
455 "n": 96,
456 "solveSeconds": 0.0031711959999993268,
457 "solveSecondsAll": [
458 0.0033911719999996422,
459 0.003258855999999469,
460 0.0033077839999996286,
461 0.004503611000000091,
462 0.003520231000000422,
463 0.0035093380000007527,
464 0.0044204179999997,
465 0.004171900999999707,
466 0.00397175900000002,
467 0.0037343989999999395,
468 0.0035999570000003586,
469 0.0034898489999995947,
470 0.003818887000000359,
471 0.0037576349999999367,
472 0.003636688999999933,
473 0.0036559470000001966,
474 0.003636072999999669,
475 0.003549250000000029,
476 0.0035651340000003983,
477 0.0035551910000003774,
478 0.0036244830000005095,
479 0.0036669330000004266,
480 0.0035680069999998523,
481 0.0034706599999999527,
482 0.003325184000000263,
483 0.003366324999999961,
484 0.003820201999999881,
485 0.00361799499999961,
486 0.0034671589999998105,
487 0.0034386869999998453,
488 0.0034320159999997484,
489 0.0033920500000003814,
490 0.0032915269999994052,
491 0.003321305000000393,
492 0.0032800340000003416,
493 0.003424971999999798,
494 0.0032128339999999297,
495 0.0032751180000004754,
496 0.0031711959999993268,
497 0.003317645999999513,
498 0.0032881670000006126,
499 0.0033102520000002186,
500 0.00317846499999996,
501 0.003326172000000042,
502 0.0035001149999998233,
503 0.0033129600000002027,
504 0.003373964000000342,
505 0.003425546000000395,
506 0.003515911999999844,
507 0.003291548999999577
508 ],
509 "coldSeconds": 0.003375275999999758,
510 "relMax": 4.145522578821808e-7,
511 "relL2": 2.906739620210247e-7
512 },
513 {
514 "n": 128,
515 "solveSeconds": 0.004361590000000433,
516 "solveSecondsAll": [
517 0.004414941999999428,
518 0.004405811999999969,
519 0.0043627219999998485,
520 0.004599758999999722,
521 0.004538246000000072,
522 0.004520198000000164,
523 0.004465012999999999,
524 0.004635334999999941,
525 0.004663767000000007,
526 0.004606751999999687,
527 0.004608970000000227,
528 0.004731971000000158,
529 0.004689229999999952,
530 0.0045807930000000855,
531 0.0047917890000007905,
532 0.004612750999999662,
533 0.004938673000000563,
534 0.0047082650000002104,
535 0.004583160999999563,
536 0.004596583999999893,
537 0.0045717380000005504,
538 0.004535498999999618,
539 0.005137094000000616,
540 0.004528150000000096,
541 0.00443468700000085,
542 0.004413238000000092,
543 0.004437842000000273,
544 0.004542604999999639,
545 0.004625898000000234,
546 0.00447163399999954,
547 0.004403178999999909,
548 0.004479366999999911,
549 0.004397979999999734,
550 0.004361590000000433,
551 0.004384157000000414,
552 0.0044651519999997615,
553 0.004408930999999939,
554 0.004405164000000695,
555 0.004423109000000295,
556 0.00442669400000068,
557 0.004402430000000095,
558 0.004397879000000103,
559 0.004455911000000015,
560 0.004798619999999573,
561 0.004742497000000185,
562 0.00551618099999996,
563 0.00507162100000005,
564 0.005584794000000329,
565 0.23691178300000046,
566 0.0047902199999998625
567 ],
568 "coldSeconds": 0.004523669999999583,
569 "relMax": 4.021796447814052e-7,
570 "relL2": 4.0912691023672964e-7
571 },
572 {
573 "n": 192,
574 "solveSeconds": 0.007003732000000127,
575 "solveSecondsAll": [
576 0.007483967000000121,
577 0.007655875999999807,
578 0.007242694000000483,
579 0.007174344999999448,
580 0.008160163999999895,
581 0.008005019999999604,
582 0.0073732340000005935,
583 0.007204346999999871,
584 0.007155109999999695,
585 0.007082625000000007,
586 0.00705909900000006,
587 0.00705795500000022,
588 0.007058497999999418,
589 0.007022199000000001,
590 0.00707808599999953,
591 0.007014694000000418,
592 0.007003732000000127,
593 0.007051220000000285,
594 0.007087510000000293,
595 0.0070868389999995994,
596 0.007243241999999555,
597 0.0070485939999998665,
598 0.007772234000000025,
599 0.007867656999999782,
600 0.007423268000000462,
601 0.0072599309999995965,
602 0.007326352999999472,
603 0.007199212999999873,
604 0.007130583000000115,
605 0.00713192700000036,
606 0.007494808000000376,
607 0.007592161999999916,
608 0.007214645000000019,
609 0.007285633999999846,
610 0.007272185000000718,
611 0.0071419280000000075,
612 0.007256679999999505,
613 0.007956462000000102,
614 0.0073560569999999645,
615 0.008104489999999714,
616 0.007631374999999934,
617 0.007594570000000203,
618 0.007549106000000393,
619 0.007413919000000533,
620 0.00731470999999965,
621 0.007344139000000723,
622 0.007412048000000141,
623 0.0074497870000004695,
624 0.007423984000000019,
625 0.008169613000000027
626 ],
627 "coldSeconds": 0.00739546700000028,
628 "relMax": 0.000003409202636830936,
629 "relL2": 0.000002552413337007861
630 },
631 {
632 "n": 256,
633 "solveSeconds": 0.010246052999999847,
634 "solveSecondsAll": [
635 0.010477442000000338,
636 0.010657420999999886,
637 0.010823190000000068,
638 0.01063164599999982,
639 0.01027024900000015,
640 0.01052639100000033,
641 0.010865450000000236,
642 0.010818415000000641,
643 0.011871814000000086,
644 0.011095057999999882,
645 0.010723002000000634,
646 0.010743424000000232,
647 0.010763186999999562,
648 0.01066709499999979,
649 0.01053088200000002,
650 0.010246052999999847,
651 0.010290390000000116,
652 0.010942931000000499,
653 0.011091498999999203,
654 0.011020140000000537,
655 0.01068098000000009,
656 0.01039921400000003,
657 0.011061821999999666,
658 0.012546008000000256,
659 0.010608505999999579,
660 0.010534507999999733,
661 0.010539072999999916,
662 0.0103107059999993,
663 0.010309242000000267,
664 0.010531395999999403,
665 0.010875434000000496,
666 0.01043315100000018,
667 0.010388855000000148,
668 0.01049073800000042,
669 0.010465586999999686,
670 0.010686267000000043,
671 0.011281487000000198,
672 0.01117783800000052,
673 0.011070953999999801,
674 0.010987030999999661,
675 0.010857554000000163,
676 0.01141039499999988,
677 0.011237954000000173,
678 0.011209406000000853,
679 0.011372252999999546,
680 0.011222141000000192,
681 0.011340926000000763
682 ],
683 "coldSeconds": 0.011279580000000351,
684 "relMax": 0.0000018170237620166348,
685 "relL2": 0.000001900651879749191
686 },
687 {
688 "n": 384,
689 "solveSeconds": 0.018906600000000252,
690 "solveSecondsAll": [
691 0.019643444000000274,
692 0.019133014000000004,
693 0.01897003500000028,
694 0.019362825000000156,
695 0.018941302000000177,
696 0.019881955000000742,
697 0.019947479999999813,
698 0.018906600000000252,
699 0.021602941999999528,
700 0.019260127000000467,
701 0.019148591000000124,
702 0.019097312999999304,
703 0.019341161000000284,
704 0.019289475000000493,
705 0.019908712000000377,
706 0.019598792000000684,
707 0.01895769399999972,
708 0.020631494999999632,
709 0.02020804500000031,
710 0.019166282999999566,
711 0.019186615000000528,
712 0.019003905000001396,
713 0.01919489500000054,
714 0.019097572000000583,
715 0.019227202000000033,
716 0.0190754309999993
717 ],
718 "coldSeconds": 0.01896340800000053,
719 "relMax": 0.000004089761826660501,
720 "relL2": 0.0000033926269228204246
721 },
722 {
723 "n": 512,
724 "solveSeconds": 0.023792885000000753,
725 "solveSecondsAll": [
726 0.025551467999999657,
727 0.025426767000000836,
728 0.02582985600000029,
729 0.03374285500000042,
730 0.025629085999999007,
731 0.026360467000000425,
732 0.027454603000000133,
733 0.02743966400000136,
734 0.0270865419999991,
735 0.026923635999999532,
736 0.026991751000001386,
737 0.02808913399999983,
738 0.02770208199999979,
739 0.02677257600000121,
740 0.026920350000000325,
741 0.023792885000000753,
742 0.02721110899999985,
743 0.02494865700000082,
744 0.03022251099999994
745 ],
746 "coldSeconds": 0.029132673000000067,
747 "relMax": 0.000019203591741141715,
748 "relL2": 0.000013966655323875798
749 },
750 {
751 "n": 768,
752 "solveSeconds": 0.06192474399999992,
753 "solveSecondsAll": [
754 0.06192474399999992,
755 0.06330850099999952,
756 0.071395305,
757 0.06731779099999949,
758 0.065868437000001,
759 0.06594469600000048,
760 0.06568757100000039,
761 0.06692883500000062
762 ],
763 "coldSeconds": 0.06570213200000034,
764 "relMax": 0.000009239614233040577,
765 "relL2": 0.000008816788796418358
766 }
767 ]
768}