1{
2 "format": "fastandaccurate-result",
3 "formatVersion": 1,
4 "problem": "laplace-dirichlet-2d",
5 "problemVersion": 1,
6 "instance": "star-hard",
7 "spec": {
8 "a": 0.3,
9 "d": 0.08,
10 "instance": "star-hard",
11 "k": 5,
12 "problem": "laplace-dirichlet-2d",
13 "problemVersion": 1
14 },
15 "specHash": "cd0f3e5dc72e88da57eaf0a1696e04c32da1b28b439b79069dcf740b1cb70799",
16 "solver": {
17 "id": "nystrom-dlp-mat",
18 "version": "1.0.0",
19 "backend": "cpu",
20 "source": "builtin"
21 },
22 "environment": {
23 "kind": "matlab",
24 "runtime": "MATLAB 26.2.0.3320248 (R2026b) Prerelease Update 2",
25 "os": "linux 6.12.101+deb13-amd64",
26 "cpu": "13th Gen Intel(R) Core(TM) i7-1355U",
27 "machineLabel": "linux laptop (i7-1355U)",
28 "browserReproducible": false
29 },
30 "protocol": {
31 "warmupRuns": 2,
32 "minTimedRuns": 5,
33 "timeBudgetSeconds": 0.5,
34 "maxTimedRuns": 50,
35 "statistic": "min",
36 "timer": "matlab tic/toc"
37 },
38 "createdUtc": "2026-08-18T10:57:31.098Z",
39 "points": [
40 {
41 "n": 16,
42 "solveSeconds": 0.000054,
43 "solveSecondsAll": [
44 0.015147,
45 0.000487,
46 0.000292,
47 0.000263,
48 0.000466,
49 0.000296,
50 0.000273,
51 0.000146,
52 0.000083,
53 0.000127,
54 0.00009,
55 0.000073,
56 0.000082,
57 0.000068,
58 0.000064,
59 0.000062,
60 0.000056,
61 0.000058,
62 0.000061,
63 0.000055,
64 0.00006,
65 0.000057,
66 0.000058,
67 0.000057,
68 0.000082,
69 0.000085,
70 0.000069,
71 0.00007,
72 0.000059,
73 0.000055,
74 0.000061,
75 0.000056,
76 0.000057,
77 0.000054,
78 0.00006,
79 0.000056,
80 0.000057,
81 0.000064,
82 0.00008,
83 0.00008,
84 0.000079,
85 0.000068,
86 0.000077,
87 0.000069,
88 0.000074,
89 0.000075,
90 0.000077,
91 0.000085,
92 0.000077,
93 0.000069
94 ],
95 "coldSeconds": 0.002462,
96 "relMax": 3.9484368829407264,
97 "relL2": 0.989055658461907
98 },
99 {
100 "n": 24,
101 "solveSeconds": 0.0001,
102 "solveSecondsAll": [
103 0.000125,
104 0.000105,
105 0.000109,
106 0.000118,
107 0.000117,
108 0.000117,
109 0.000115,
110 0.000136,
111 0.000111,
112 0.000118,
113 0.0001,
114 0.00011,
115 0.000278,
116 0.00031,
117 0.000266,
118 0.000264,
119 0.000252,
120 0.00024,
121 0.000239,
122 0.000235,
123 0.000234,
124 0.000239,
125 0.00025,
126 0.000236,
127 0.00024,
128 0.000278,
129 0.000271,
130 0.000359,
131 0.00032,
132 0.000269,
133 0.000266,
134 0.000265,
135 0.000264,
136 0.00027,
137 0.000267,
138 0.000223,
139 0.000255,
140 0.000256,
141 0.000257,
142 0.000258,
143 0.000284,
144 0.000262,
145 0.000266,
146 0.000258,
147 0.000264,
148 0.000262,
149 0.000261,
150 0.000261,
151 0.000263,
152 0.000264
153 ],
154 "coldSeconds": 0.000328,
155 "relMax": 1.0083354802718882,
156 "relL2": 0.4108859955742018
157 },
158 {
159 "n": 32,
160 "solveSeconds": 0.000105,
161 "solveSecondsAll": [
162 0.00034,
163 0.000143,
164 0.000137,
165 0.000134,
166 0.000138,
167 0.000118,
168 0.000108,
169 0.000105,
170 0.000109,
171 0.000107,
172 0.00028,
173 0.000328,
174 0.000344,
175 0.000348,
176 0.000309,
177 0.000306,
178 0.000321,
179 0.000297,
180 0.000305,
181 0.000305,
182 0.000299,
183 0.000302,
184 0.000295,
185 0.000296,
186 0.000299,
187 0.000315,
188 0.000291,
189 0.000273,
190 0.000292,
191 0.00027,
192 0.00028,
193 0.000305,
194 0.000288,
195 0.000288,
196 0.000283,
197 0.000285,
198 0.000279,
199 0.000273,
200 0.000275,
201 0.000276,
202 0.000258,
203 0.000259,
204 0.000259,
205 0.000267,
206 0.00026,
207 0.000261,
208 0.00028,
209 0.000265,
210 0.000256,
211 0.000272
212 ],
213 "coldSeconds": 0.00051,
214 "relMax": 1.2083651658775263,
215 "relL2": 0.3561150840328099
216 },
217 {
218 "n": 48,
219 "solveSeconds": 0.000189,
220 "solveSecondsAll": [
221 0.000195,
222 0.000194,
223 0.000189,
224 0.000191,
225 0.000194,
226 0.000302,
227 0.000351,
228 0.000332,
229 0.000321,
230 0.000319,
231 0.00032,
232 0.000319,
233 0.000315,
234 0.0003,
235 0.000296,
236 0.000299,
237 0.0003,
238 0.000306,
239 0.000295,
240 0.000322,
241 0.000324,
242 0.000294,
243 0.00029,
244 0.00029,
245 0.000305,
246 0.000288,
247 0.000288,
248 0.000287,
249 0.000276,
250 0.000272,
251 0.000274,
252 0.000284,
253 0.000267,
254 0.000279,
255 0.000269,
256 0.000262,
257 0.000262,
258 0.00026,
259 0.000259,
260 0.000262,
261 0.000256,
262 0.000251,
263 0.000249,
264 0.000244,
265 0.000247,
266 0.000251,
267 0.000258,
268 0.000244,
269 0.000235,
270 0.000253
271 ],
272 "coldSeconds": 0.000494,
273 "relMax": 0.4845642383555068,
274 "relL2": 0.15983504054082442
275 },
276 {
277 "n": 64,
278 "solveSeconds": 0.00032,
279 "solveSecondsAll": [
280 0.000489,
281 0.000498,
282 0.000419,
283 0.000476,
284 0.000441,
285 0.000499,
286 0.000432,
287 0.001323,
288 0.000545,
289 0.000467,
290 0.000392,
291 0.000425,
292 0.000467,
293 0.000343,
294 0.000427,
295 0.000494,
296 0.000487,
297 0.000412,
298 0.000356,
299 0.000435,
300 0.000428,
301 0.00035,
302 0.000421,
303 0.000431,
304 0.000364,
305 0.00039,
306 0.000334,
307 0.000376,
308 0.000358,
309 0.000391,
310 0.000404,
311 0.000341,
312 0.000346,
313 0.000362,
314 0.000322,
315 0.000335,
316 0.000331,
317 0.000343,
318 0.000438,
319 0.000438,
320 0.000445,
321 0.000323,
322 0.00032,
323 0.000376,
324 0.000331,
325 0.000375,
326 0.000327,
327 0.000342,
328 0.000358,
329 0.000381
330 ],
331 "coldSeconds": 0.000663,
332 "relMax": 0.18192005929931113,
333 "relL2": 0.05759811369023656
334 },
335 {
336 "n": 96,
337 "solveSeconds": 0.000444,
338 "solveSecondsAll": [
339 0.00047,
340 0.000453,
341 0.000449,
342 0.000459,
343 0.000464,
344 0.000453,
345 0.000452,
346 0.000447,
347 0.000447,
348 0.000496,
349 0.000449,
350 0.000447,
351 0.000477,
352 0.000483,
353 0.000471,
354 0.000497,
355 0.000477,
356 0.000467,
357 0.000454,
358 0.000473,
359 0.000444,
360 0.000468,
361 0.000505,
362 0.000501,
363 0.000474,
364 0.000477,
365 0.000494,
366 0.000478,
367 0.000491,
368 0.001075,
369 0.000448,
370 0.000633,
371 0.000791,
372 0.001925,
373 0.000515,
374 0.000562,
375 0.000561,
376 0.000624,
377 0.000518,
378 0.000675,
379 0.000505,
380 0.000497,
381 0.000532,
382 0.000522,
383 0.000492,
384 0.000534,
385 0.000492,
386 0.000491,
387 0.000511,
388 0.000562
389 ],
390 "coldSeconds": 0.000598,
391 "relMax": 0.018745802515798222,
392 "relL2": 0.007812571351046512
393 },
394 {
395 "n": 128,
396 "solveSeconds": 0.000657,
397 "solveSecondsAll": [
398 0.001037,
399 0.000839,
400 0.000752,
401 0.000765,
402 0.00076,
403 0.000728,
404 0.000774,
405 0.000692,
406 0.000736,
407 0.000731,
408 0.000683,
409 0.000743,
410 0.00074,
411 0.00075,
412 0.000663,
413 0.000657,
414 0.000772,
415 0.000782,
416 0.002304,
417 0.001331,
418 0.001293,
419 0.001318,
420 0.002382,
421 0.00134,
422 0.001486,
423 0.001412,
424 0.001353,
425 0.001357,
426 0.00129,
427 0.001316,
428 0.001256,
429 0.001294,
430 0.001206,
431 0.001203,
432 0.001207,
433 0.001235,
434 0.001242,
435 0.001397,
436 0.001262,
437 0.001248,
438 0.001301,
439 0.001269,
440 0.001244,
441 0.001324,
442 0.00125,
443 0.001337,
444 0.001482,
445 0.001342,
446 0.001309,
447 0.005349
448 ],
449 "coldSeconds": 0.000954,
450 "relMax": 0.037545460779171,
451 "relL2": 0.01031876924950462
452 },
453 {
454 "n": 192,
455 "solveSeconds": 0.001081,
456 "solveSecondsAll": [
457 0.001173,
458 0.001126,
459 0.001144,
460 0.001126,
461 0.001166,
462 0.001119,
463 0.001157,
464 0.001137,
465 0.001101,
466 0.001085,
467 0.001151,
468 0.001124,
469 0.001115,
470 0.001081,
471 0.001295,
472 0.001786,
473 0.001214,
474 0.001292,
475 0.001201,
476 0.001188,
477 0.00118,
478 0.001218,
479 0.001191,
480 0.001237,
481 0.001242,
482 0.001231,
483 0.001166,
484 0.001191,
485 0.001126,
486 0.001126,
487 0.001138,
488 0.001149,
489 0.001173,
490 0.001236,
491 0.001161,
492 0.001136,
493 0.001162,
494 0.002406,
495 0.001202,
496 0.00118,
497 0.001134,
498 0.00117,
499 0.001738,
500 0.001166,
501 0.001159,
502 0.001327,
503 0.001396,
504 0.00135,
505 0.00127,
506 0.001275
507 ],
508 "coldSeconds": 0.006047,
509 "relMax": 0.008805577252009086,
510 "relL2": 0.0024960775145143822
511 },
512 {
513 "n": 256,
514 "solveSeconds": 0.001545,
515 "solveSecondsAll": [
516 0.001545,
517 0.00158,
518 0.001643,
519 0.001624,
520 0.001607,
521 0.001617,
522 0.001638,
523 0.00164,
524 0.001664,
525 0.001759,
526 0.001727,
527 0.001724,
528 0.004384,
529 0.001961,
530 0.001745,
531 0.001853,
532 0.001786,
533 0.001697,
534 0.001705,
535 0.001966,
536 0.001757,
537 0.001777,
538 0.001759,
539 0.001764,
540 0.001753,
541 0.001749,
542 0.001737,
543 0.001705,
544 0.002053,
545 0.003023,
546 0.002924,
547 0.002509,
548 0.002362,
549 0.002905,
550 0.005687,
551 0.001853,
552 0.002407,
553 0.002509,
554 0.001746,
555 0.001874,
556 0.004349,
557 0.002084,
558 0.001924,
559 0.002222,
560 0.001941,
561 0.001899,
562 0.003463,
563 0.002175,
564 0.002445,
565 0.0024
566 ],
567 "coldSeconds": 0.001715,
568 "relMax": 0.0006278943139185422,
569 "relL2": 0.00015651789060589554
570 },
571 {
572 "n": 384,
573 "solveSeconds": 0.003014,
574 "solveSecondsAll": [
575 0.005524,
576 0.004694,
577 0.004253,
578 0.003789,
579 0.004189,
580 0.003997,
581 0.004106,
582 0.004012,
583 0.003781,
584 0.004128,
585 0.004255,
586 0.004019,
587 0.005624,
588 0.003014,
589 0.003541,
590 0.003428,
591 0.00318,
592 0.004523,
593 0.003489,
594 0.003375,
595 0.00309,
596 0.003344,
597 0.003889,
598 0.003909,
599 0.004263,
600 0.003918,
601 0.006682,
602 0.004288,
603 0.004821,
604 0.004519,
605 0.003497,
606 0.003748,
607 0.003614,
608 0.003988,
609 0.003571,
610 0.003519,
611 0.003239,
612 0.004067,
613 0.004246,
614 0.003826,
615 0.00322,
616 0.003155,
617 0.003108,
618 0.003983,
619 0.004083,
620 0.00463,
621 0.003678,
622 0.003514,
623 0.004207,
624 0.004138
625 ],
626 "coldSeconds": 0.003866,
627 "relMax": 0.000021782103827861526,
628 "relL2": 0.000006247134931339279
629 },
630 {
631 "n": 512,
632 "solveSeconds": 0.006542,
633 "solveSecondsAll": [
634 0.008955,
635 0.00876,
636 0.008658,
637 0.008813,
638 0.009001,
639 0.009035,
640 0.008004,
641 0.00725,
642 0.007174,
643 0.006944,
644 0.017308,
645 0.008877,
646 0.019321,
647 0.010134,
648 0.008999,
649 0.008678,
650 0.00975,
651 0.008621,
652 0.011184,
653 0.0095,
654 0.008432,
655 0.008356,
656 0.006905,
657 0.007586,
658 0.00664,
659 0.006542,
660 0.008637,
661 0.008608,
662 0.00991,
663 0.008045,
664 0.008077,
665 0.009391,
666 0.047006,
667 0.00816,
668 0.008989,
669 0.006656,
670 0.006894,
671 0.006577,
672 0.007775,
673 0.006944,
674 0.007901,
675 0.007064,
676 0.006706,
677 0.009608,
678 0.008205,
679 0.008871,
680 0.018351,
681 0.00782,
682 0.007452,
683 0.006983
684 ],
685 "coldSeconds": 0.00911,
686 "relMax": 5.115084982196151e-7,
687 "relL2": 1.0422166452303962e-7
688 },
689 {
690 "n": 768,
691 "solveSeconds": 0.018607,
692 "solveSecondsAll": [
693 0.025746,
694 0.021896,
695 0.019283,
696 0.023541,
697 0.021552,
698 0.022806,
699 0.021586,
700 0.022178,
701 0.019323,
702 0.022809,
703 0.020154,
704 0.020864,
705 0.021974,
706 0.020555,
707 0.021085,
708 0.01986,
709 0.019928,
710 0.022099,
711 0.01905,
712 0.018607,
713 0.020633,
714 0.019968,
715 0.021583,
716 0.019309
717 ],
718 "coldSeconds": 0.024358,
719 "relMax": 1.484477290962824e-10,
720 "relL2": 3.491924284354514e-11
721 }
722 ]
723}