1{
2 "format": "fastandaccurate-result",
3 "formatVersion": 1,
4 "problem": "laplace-dirichlet-2d",
5 "problemVersion": 1,
6 "instance": "square-corners",
7 "spec": {
8 "a": 0,
9 "d": 0.25,
10 "instance": "square-corners",
11 "k": 0,
12 "problem": "laplace-dirichlet-2d",
13 "problemVersion": 1,
14 "p": 100,
15 "shape": "rounded-square"
16 },
17 "specHash": "4d945fc4e496e584d24975e6709a5bfeb73aa149f71a7ef875acd50e49b3f42a",
18 "solver": {
19 "id": "mfs-gpu",
20 "version": "1.0.0",
21 "backend": "gpu",
22 "source": "builtin"
23 },
24 "environment": {
25 "kind": "node",
26 "runtime": "node v24.14.1",
27 "gpu": "Intel open-source Mesa driver: Mesa 25.0.7-2+deb13u1 (node-webgpu (Google Dawn))",
28 "os": "linux 6.12.101+deb13-amd64",
29 "cpu": "13th Gen Intel(R) Core(TM) i7-1355U",
30 "machineLabel": "linux laptop (i7-1355U)",
31 "browserReproducible": true
32 },
33 "protocol": {
34 "warmupRuns": 2,
35 "minTimedRuns": 5,
36 "timeBudgetSeconds": 0.5,
37 "maxTimedRuns": 50,
38 "statistic": "min",
39 "timer": "host clock around submit and read-back"
40 },
41 "createdUtc": "2026-08-18T22:32:33.585Z",
42 "points": [
43 {
44 "n": 8,
45 "solveSeconds": 0.0005644109999993816,
46 "solveSecondsAll": [
47 0.0006662429999996675,
48 0.0007674570000017412,
49 0.000676620999998704,
50 0.0006424389999992855,
51 0.000779462999998941,
52 0.0007870100000000093,
53 0.0006481290000010631,
54 0.000627851000001101,
55 0.0006360170000007201,
56 0.0007811790000014299,
57 0.0007314310000001569,
58 0.0006612009999989823,
59 0.0006243240000003425,
60 0.000689766999999847,
61 0.0006296270000020741,
62 0.0006498090000022784,
63 0.0006140970000014931,
64 0.0006631229999984499,
65 0.000587720999999874,
66 0.0005918350000029023,
67 0.0005644109999993816,
68 0.0006687730000012379,
69 0.0005936880000008386,
70 0.0005916910000014469,
71 0.0005818859999999404,
72 0.000632793999997375,
73 0.0006581120000009832,
74 0.0005975049999979091,
75 0.0007295879999983299,
76 0.0006175379999986035,
77 0.0006089240000001155,
78 0.0005849589999997988,
79 0.0006197560000000521,
80 0.0005664660000002186,
81 0.0006023800000002666,
82 0.0007521020000021963,
83 0.0006050199999990582,
84 0.0005864149999979418,
85 0.0007210489999997662,
86 0.0006925259999989066,
87 0.0005780530000010913,
88 0.0006233709999978601,
89 0.0005878490000031888,
90 0.000717982000001939,
91 0.0006033669999997073,
92 0.0006280010000009498,
93 0.0005954219999985071,
94 0.0006992099999988568,
95 0.0005877450000007229,
96 0.0005750780000016675
97 ],
98 "coldSeconds": 0.0010289090000005672,
99 "relMax": 0.27734668038911403,
100 "relL2": 0.15329632011287772
101 },
102 {
103 "n": 12,
104 "solveSeconds": 0.0006956570000002103,
105 "solveSecondsAll": [
106 0.0007537880000018049,
107 0.0008110989999986487,
108 0.0007348500000007335,
109 0.0007950479999999516,
110 0.0007958160000016506,
111 0.0007261800000014773,
112 0.0007289499999969849,
113 0.0007732489999980317,
114 0.0007877410000000964,
115 0.0007977950000022247,
116 0.0008868860000002314,
117 0.0008230179999991379,
118 0.0007930269999997108,
119 0.00098215799999889,
120 0.0010583310000001802,
121 0.0008645529999994323,
122 0.0008335709999992104,
123 0.0008149730000004638,
124 0.0007880500000028405,
125 0.0008181760000006761,
126 0.0008011920000026293,
127 0.0007952089999998861,
128 0.0008070230000012088,
129 0.0007439100000010512,
130 0.0007492219999985537,
131 0.0007226520000003802,
132 0.0007296600000008766,
133 0.0007252079999998386,
134 0.0007801370000015595,
135 0.0007593940000006114,
136 0.0007366710000023887,
137 0.0006969870000029914,
138 0.0007408099999993283,
139 0.0007808489999988524,
140 0.001211819000000105,
141 0.0011929999999993016,
142 0.0011739479999996548,
143 0.0008502039999984845,
144 0.0007544589999997697,
145 0.0007439100000010512,
146 0.0007474340000007942,
147 0.0007275469999985944,
148 0.0007399189999996452,
149 0.0007067769999994197,
150 0.0006985139999997046,
151 0.0006981440000017755,
152 0.0006989619999985734,
153 0.0007428039999977045,
154 0.0007623199999979988,
155 0.0006956570000002103
156 ],
157 "coldSeconds": 0.001111218000001827,
158 "relMax": 0.09503205923108013,
159 "relL2": 0.05851365016432417
160 },
161 {
162 "n": 16,
163 "solveSeconds": 0.000808391999999003,
164 "solveSecondsAll": [
165 0.0008684629999988829,
166 0.0010141030000013415,
167 0.001083518000003096,
168 0.0009310980000009295,
169 0.0008950330000006943,
170 0.0011470640000006823,
171 0.0008868279999987862,
172 0.0009505979999994452,
173 0.000921452999999019,
174 0.0008250289999996312,
175 0.0008602859999991779,
176 0.0008472409999994852,
177 0.0008721239999977115,
178 0.0008493200000011711,
179 0.0008488679999973101,
180 0.0008594019999982266,
181 0.0008723169999975653,
182 0.0008378240000020014,
183 0.0008390230000004522,
184 0.0008960599999991246,
185 0.000843949000001885,
186 0.0008769820000015898,
187 0.0008599729999987176,
188 0.0008391220000012253,
189 0.0008335300000035204,
190 0.0008810469999989437,
191 0.0008484720000014931,
192 0.0008266140000014275,
193 0.0008588540000018838,
194 0.0008234650000013061,
195 0.0008361320000003615,
196 0.0008215139999992971,
197 0.000833982999996806,
198 0.0008700529999987338,
199 0.0008343260000001464,
200 0.0008992340000004333,
201 0.0008496540000014648,
202 0.000808391999999003,
203 0.0008890989999999874,
204 0.0008660620000009658,
205 0.0008679999999985739,
206 0.00084242599999925,
207 0.0009117819999992208,
208 0.0008297139999995125,
209 0.0008232299999981478,
210 0.0008459280000024592,
211 0.000853570999999647,
212 0.0009059030000025814,
213 0.0008347599999979138,
214 0.0008999660000008589
215 ],
216 "coldSeconds": 0.0009435339999981807,
217 "relMax": 0.06666278172149001,
218 "relL2": 0.021558723509063474
219 },
220 {
221 "n": 24,
222 "solveSeconds": 0.00103476099999898,
223 "solveSecondsAll": [
224 0.0011611400000001596,
225 0.001132592999998451,
226 0.0010966760000010254,
227 0.0011581019999975979,
228 0.0011277339999978722,
229 0.0011015869999973801,
230 0.0011405180000001564,
231 0.0011120779999982916,
232 0.0010967270000001009,
233 0.001126947000000655,
234 0.0011116110000002663,
235 0.0010933989999975893,
236 0.0010841599999985192,
237 0.0010894569999982196,
238 0.0010985919999984617,
239 0.0010994719999980588,
240 0.0011039590000000317,
241 0.0011483560000015132,
242 0.0011312440000001516,
243 0.0010906929999982822,
244 0.0010919099999991886,
245 0.0011059889999996812,
246 0.0011051500000030501,
247 0.0017196579999981623,
248 0.0012261819999985163,
249 0.0012326339999999619,
250 0.0011364940000021307,
251 0.0011814740000008895,
252 0.0011241770000015095,
253 0.0011190190000015718,
254 0.0010988199999992503,
255 0.0011596660000031988,
256 0.0011111430000019028,
257 0.0011067069999990053,
258 0.0011114769999985583,
259 0.0011073800000012853,
260 0.0010943200000001524,
261 0.0011244450000012876,
262 0.0011249680000000807,
263 0.0011018029999977444,
264 0.0010930330000010144,
265 0.0010910839999996825,
266 0.0010975040000012087,
267 0.0010714609999995445,
268 0.0010499300000010408,
269 0.0011218300000000454,
270 0.0010602709999984654,
271 0.00103476099999898,
272 0.0010688660000014352,
273 0.0010614339999992807
274 ],
275 "coldSeconds": 0.0012632949999970152,
276 "relMax": 0.02011405360806151,
277 "relL2": 0.006765404486835188
278 },
279 {
280 "n": 32,
281 "solveSeconds": 0.001288051000003179,
282 "solveSecondsAll": [
283 0.0013200389999983599,
284 0.0013815770000001066,
285 0.001423717999998189,
286 0.0013404029999983323,
287 0.0014279540000025008,
288 0.0013306210000009742,
289 0.0013504520000024059,
290 0.0013588029999991704,
291 0.0014024769999996351,
292 0.0013066690000014204,
293 0.0013623489999990853,
294 0.001308657999998104,
295 0.0014058160000022326,
296 0.0012978769999972429,
297 0.0013730270000014571,
298 0.0012921649999989313,
299 0.0013666750000011234,
300 0.001393880999999965,
301 0.0013136819999999716,
302 0.0013659270000025573,
303 0.001401903999998467,
304 0.0013037709999989603,
305 0.0012897460000021966,
306 0.001310907999999472,
307 0.0013648639999992156,
308 0.0012953839999972842,
309 0.0013733489999976883,
310 0.0013393470000009984,
311 0.001362316999999166,
312 0.001326296999999613,
313 0.001350772000001598,
314 0.0012899100000031468,
315 0.0013714040000013484,
316 0.001288051000003179,
317 0.001359625999997661,
318 0.0013088769999994839,
319 0.0013706819999970321,
320 0.001325544000002992,
321 0.0021837479999994684,
322 0.0017058179999985441,
323 0.0015430650000016611,
324 0.001340474999997241,
325 0.0013826159999989613,
326 0.0013322719999996479,
327 0.00140176799999972,
328 0.0013484499999976832,
329 0.0015740239999977347,
330 0.0015767699999996694,
331 0.0015460429999984626,
332 0.0014137569999984408
333 ],
334 "coldSeconds": 0.0014837220000008529,
335 "relMax": 0.00322719675919324,
336 "relL2": 0.0010699270902443773
337 },
338 {
339 "n": 48,
340 "solveSeconds": 0.0017372410000025412,
341 "solveSecondsAll": [
342 0.001960586000001058,
343 0.0018332240000017918,
344 0.0018892550000018673,
345 0.001828894999998738,
346 0.0018751589999992575,
347 0.001811705999996775,
348 0.0018697710000014922,
349 0.0018838329999998678,
350 0.0017926389999993262,
351 0.001872667999999976,
352 0.0018121480000008888,
353 0.0018952040000003762,
354 0.0018595470000000204,
355 0.001876619999999093,
356 0.0019654430000009596,
357 0.0019236069999969913,
358 0.001977075999999215,
359 0.002000399999997171,
360 0.001959999999999127,
361 0.0019366580000023533,
362 0.0018447720000003755,
363 0.0018966140000011365,
364 0.0018532820000000357,
365 0.001851520000000164,
366 0.0017992709999998624,
367 0.0018727560000006633,
368 0.019354387999999743,
369 0.0020327069999984816,
370 0.0018381670000017039,
371 0.0018853549999985262,
372 0.001778495999998995,
373 0.0018695259999985865,
374 0.0018507129999998143,
375 0.001775272999999288,
376 0.0017514440000013566,
377 0.0018505530000002181,
378 0.0017634610000022803,
379 0.0018068270000003396,
380 0.0017627339999999095,
381 0.0018110210000013467,
382 0.0018411710000000312,
383 0.0017464659999968718,
384 0.001819891999999527,
385 0.0017372410000025412,
386 0.0018358679999982996,
387 0.001755988000000798,
388 0.0017975970000006782,
389 0.0017659939999975904,
390 0.0018224719999998342,
391 0.0017477790000011736
392 ],
393 "coldSeconds": 0.002044198999999935,
394 "relMax": 0.0007364983346222537,
395 "relL2": 0.00018310812116775557
396 },
397 {
398 "n": 64,
399 "solveSeconds": 0.0021790860000000974,
400 "solveSecondsAll": [
401 0.0023244909999993978,
402 0.002329015999999683,
403 0.0022371449999991455,
404 0.0022391720000014175,
405 0.0022229560000014315,
406 0.002279594999999972,
407 0.002622690000000148,
408 0.0024342880000003788,
409 0.0022424209999990126,
410 0.002327493999997387,
411 0.0022348629999978586,
412 0.002245722999999998,
413 0.0022864239999980784,
414 0.0022420750000019325,
415 0.002341882999997324,
416 0.0022453660000028323,
417 0.003145454000001337,
418 0.0029368880000001808,
419 0.002333867999997892,
420 0.0023036099999990257,
421 0.0022944160000006376,
422 0.002691733999999997,
423 0.0026058740000007674,
424 0.0023732159999999567,
425 0.002226984000000812,
426 0.0022129099999983735,
427 0.002183578000000125,
428 0.0023404849999969883,
429 0.0022279750000016064,
430 0.0022432730000000447,
431 0.0021984000000011294,
432 0.00226745099999971,
433 0.0023332050000026356,
434 0.0021895130000011706,
435 0.0022905290000016978,
436 0.0021910290000014356,
437 0.002273855999999796,
438 0.002205517999998847,
439 0.002196115999999165,
440 0.0021901059999981953,
441 0.0022198239999997897,
442 0.002295365000001766,
443 0.0022211019999995186,
444 0.00223325499999919,
445 0.0021860249999990627,
446 0.0022572670000008655,
447 0.0021790860000000974,
448 0.0022702210000024934,
449 0.0022119109999985086,
450 0.00219576799999777
451 ],
452 "coldSeconds": 0.0023755439999986264,
453 "relMax": 0.00042230165066934136,
454 "relL2": 0.00010670941290953595
455 },
456 {
457 "n": 96,
458 "solveSeconds": 0.00311377899999934,
459 "solveSecondsAll": [
460 0.0032952430000004825,
461 0.003216887000002316,
462 0.0035025709999972603,
463 0.0033459860000002663,
464 0.0031917970000031348,
465 0.003272499999999127,
466 0.0032419210000007295,
467 0.0031267809999990276,
468 0.0031631089999973484,
469 0.00311377899999934,
470 0.0032291560000012394,
471 0.003117592999999033,
472 0.003176727000001847,
473 0.003226169999998092,
474 0.003147443000001658,
475 0.0031932420000011915,
476 0.003206395999997767,
477 0.003404437000001053,
478 0.003482653000002756,
479 0.0035230940000001284,
480 0.0033216900000006717,
481 0.004102150000002439,
482 0.0034221010000001113,
483 0.003341647000001103,
484 0.0032947840000015277,
485 0.0034360559999986437,
486 0.0032151169999997363,
487 0.0033452260000012756,
488 0.0034161439999988944,
489 0.0033502059999991614,
490 0.0032034129999992727,
491 0.003173962000000756,
492 0.0031916700000001585,
493 0.003168692999999621,
494 0.003187014999999519,
495 0.0038723039999968025,
496 0.003326175999998668,
497 0.0034110470000014177,
498 0.003631158000000141,
499 0.003517609000002267,
500 0.003479451999999583,
501 0.003281283000000258,
502 0.0031670259999991685,
503 0.0031607760000006238,
504 0.00315008300000045,
505 0.0031510319999979402,
506 0.003215073999999731,
507 0.003193597999998019,
508 0.0032358600000006845,
509 0.0031268369999997957
510 ],
511 "coldSeconds": 0.003509832000003371,
512 "relMax": 0.00001825554776095848,
513 "relL2": 0.000005260687173168847
514 },
515 {
516 "n": 128,
517 "solveSeconds": 0.004058090999998967,
518 "solveSecondsAll": [
519 0.004146132999998372,
520 0.004219186000002082,
521 0.0042759110000006335,
522 0.004105494000003091,
523 0.004088104000002204,
524 0.004150736999999936,
525 0.00409452699999747,
526 0.004167662000003475,
527 0.004119434000000183,
528 0.004092941000002611,
529 0.0040747830000000245,
530 0.005416722999998455,
531 0.005443360999997822,
532 0.004132907999999588,
533 0.00409197999999742,
534 0.004058090999998967,
535 0.004104003000000376,
536 0.004096730000001116,
537 0.004142360999998346,
538 0.004188755999999558,
539 0.004133480000000418,
540 0.004348622999998043,
541 0.004583600000001752,
542 0.004308004999998957,
543 0.0041492230000003474,
544 0.004153556999997818,
545 0.004139358000000357,
546 0.004187842999999703,
547 0.004711382999998023,
548 0.004793613999998342,
549 0.005678868999999395,
550 0.004488035999998829,
551 0.004366316999999981,
552 0.004498648000000685,
553 0.004384821999999985,
554 0.005391773999999714,
555 0.005241145999996661,
556 0.004738138000000618,
557 0.004411389000000781,
558 0.004322537000000011,
559 0.004285289999999805,
560 0.004223086999998486,
561 0.0042099429999980205,
562 0.004093355999997584,
563 0.00412566599999991,
564 0.004125101999998151,
565 0.004109530000001541,
566 0.004265287999998691,
567 0.004444955000002665,
568 0.0044442890000027544
569 ],
570 "coldSeconds": 0.0042756599999993344,
571 "relMax": 0.000002734779031869817,
572 "relL2": 0.0000015823031187675969
573 },
574 {
575 "n": 192,
576 "solveSeconds": 0.006259785000002012,
577 "solveSecondsAll": [
578 0.0067986339999988555,
579 0.006754897000002529,
580 0.006830531000003247,
581 0.0067076000000015484,
582 0.0066474930000003955,
583 0.006651021999998193,
584 0.006652515000001586,
585 0.006687200000000303,
586 0.006585517999999866,
587 0.006542543999999907,
588 0.0068674639999990175,
589 0.006669562999999471,
590 0.006616281999999046,
591 0.006526539999998931,
592 0.00638963700000022,
593 0.006313643999998021,
594 0.006318253000001278,
595 0.006259785000002012,
596 0.006287069999998494,
597 0.006272754000001442,
598 0.006279284000000189,
599 0.006262932000001456,
600 0.006303165999997873,
601 0.0064803409999985885,
602 0.007069166999997833,
603 0.006644314999997732,
604 0.007338905000000523,
605 0.020098191999997652,
606 0.006931172000000515,
607 0.006899272999999084,
608 0.006968668000001344,
609 0.006685950999999477,
610 0.006609717999999702,
611 0.006616324999999051,
612 0.006656596999997419,
613 0.007076199999999517,
614 0.0065180960000034245,
615 0.006418078999999125,
616 0.0062989219999981284,
617 0.00638146400000187,
618 0.006396020000000135,
619 0.0064014810000007855,
620 0.006486190999999962,
621 0.006361340999999811,
622 0.006642941999998584,
623 0.006480749000002106,
624 0.006491298999997525,
625 0.00635116200000266,
626 0.0063677190000016705,
627 0.006438885999999911
628 ],
629 "coldSeconds": 0.006927052999999433,
630 "relMax": 0.000006969887695094335,
631 "relL2": 0.000006891067229458201
632 },
633 {
634 "n": 256,
635 "solveSeconds": 0.008593946000000869,
636 "solveSecondsAll": [
637 0.00864929100000154,
638 0.008654140999999073,
639 0.008682818000001135,
640 0.008743103000000701,
641 0.008644819999997708,
642 0.008644726000002266,
643 0.00930925500000012,
644 0.009146161000000574,
645 0.009075762000000395,
646 0.00895278799999869,
647 0.00902805200000148,
648 0.009007015999999566,
649 0.008850642000001244,
650 0.0088927700000022,
651 0.008980203999999502,
652 0.008757910000000266,
653 0.008744386999998823,
654 0.008922252000000299,
655 0.009688919000000169,
656 0.009290972999999212,
657 0.00906202100000155,
658 0.008894436999999016,
659 0.008894512999999278,
660 0.008924746000000596,
661 0.00888193599999795,
662 0.008923061999998027,
663 0.008981218000000808,
664 0.009200482999996894,
665 0.009338120000000345,
666 0.009148793000000295,
667 0.009160181999999623,
668 0.009120154000000184,
669 0.009085869999998976,
670 0.009550774999999703,
671 0.008951681999998982,
672 0.009913424999998824,
673 0.009120242000000871,
674 0.009033978999999817,
675 0.009075981999998475,
676 0.008970053000000916,
677 0.009357992000001104,
678 0.008816878999998152,
679 0.00869599499999822,
680 0.00869454599999881,
681 0.008698129000000335,
682 0.008593946000000869,
683 0.00874007200000051,
684 0.008845016000002943,
685 0.008698904999997467,
686 0.008824023999997734
687 ],
688 "coldSeconds": 0.008856181999999536,
689 "relMax": 0.00011608276550116216,
690 "relL2": 0.00009957615490454414
691 },
692 {
693 "n": 384,
694 "solveSeconds": 0.014763376999999309,
695 "solveSecondsAll": [
696 0.01821636000000217,
697 0.015527259000002232,
698 0.015306776000001264,
699 0.01561589300000196,
700 0.015176472999999533,
701 0.015851663999997982,
702 0.015254548000000796,
703 0.015204972999999882,
704 0.015142744000000676,
705 0.014945118999999977,
706 0.014942778999997245,
707 0.015013338000000659,
708 0.014887618000000657,
709 0.014763376999999309,
710 0.01492046400000254,
711 0.01480786900000021,
712 0.015128747999999177,
713 0.015006562000002305,
714 0.014984284999998636,
715 0.014974879000001239,
716 0.015808004999998956,
717 0.015546855000000505,
718 0.016036251000001358,
719 0.01584470599999986,
720 0.01661015699999916,
721 0.0156686460000019,
722 0.017114232999996603,
723 0.015619366999999329,
724 0.015554851999997482,
725 0.015681977000000187,
726 0.015440821000000143,
727 0.015412872000000789,
728 0.015567091000000801
729 ],
730 "coldSeconds": 0.016840453999997406,
731 "relMax": 0.000005197162763646802,
732 "relL2": 0.000006322123661562843
733 },
734 {
735 "n": 512,
736 "solveSeconds": 0.02301895499999955,
737 "solveSecondsAll": [
738 0.023029718999998294,
739 0.02301895499999955,
740 0.02305626900000061,
741 0.023573601999996755,
742 0.024422903999999107,
743 0.024074635000000854,
744 0.023743335999999546,
745 0.023361880000000383,
746 0.023438395000001038,
747 0.02351458199999979,
748 0.023325876999999308,
749 0.023919214000001375,
750 0.023578880000000937,
751 0.024358562000001256,
752 0.02448886499999935,
753 0.024454937999998948,
754 0.024031919000000925,
755 0.024255865999999515,
756 0.023909717999998976,
757 0.02485964199999944,
758 0.023927975999999036
759 ],
760 "coldSeconds": 0.023044389999999113,
761 "relMax": 0.0000108117633306554,
762 "relL2": 0.000010661486099567272
763 },
764 {
765 "n": 768,
766 "solveSeconds": 0.04311788300000262,
767 "solveSecondsAll": [
768 0.04396434600000066,
769 0.04535766199999853,
770 0.04698756000000139,
771 0.04710324899999978,
772 0.04904578200000105,
773 0.2628698409999997,
774 0.04311788300000262
775 ],
776 "coldSeconds": 0.045936093000000254,
777 "relMax": 0.00003170688756973602,
778 "relL2": 0.000023695407399701162
779 }
780 ]
781}