{
  "format": "fastandaccurate-result",
  "formatVersion": 1,
  "problem": "laplace-dirichlet-2d",
  "problemVersion": 1,
  "instance": "square-corners",
  "spec": {
    "a": 0,
    "d": 0.25,
    "instance": "square-corners",
    "k": 0,
    "problem": "laplace-dirichlet-2d",
    "problemVersion": 1,
    "p": 100,
    "shape": "rounded-square"
  },
  "specHash": "4d945fc4e496e584d24975e6709a5bfeb73aa149f71a7ef875acd50e49b3f42a",
  "solver": {
    "id": "nystrom-dlp-mat",
    "version": "1.0.0",
    "backend": "cpu",
    "source": "builtin"
  },
  "environment": {
    "kind": "matlab",
    "runtime": "MATLAB 26.2.0.3320248 (R2026b) Prerelease Update 2",
    "os": "linux 6.12.101+deb13-amd64",
    "cpu": "13th Gen Intel(R) Core(TM) i7-1355U",
    "machineLabel": "linux laptop (i7-1355U)",
    "browserReproducible": false
  },
  "protocol": {
    "warmupRuns": 2,
    "minTimedRuns": 5,
    "timeBudgetSeconds": 0.5,
    "maxTimedRuns": 50,
    "statistic": "min",
    "timer": "matlab tic/toc"
  },
  "createdUtc": "2026-08-18T11:15:18.351Z",
  "points": [
    {
      "n": 64,
      "solveSeconds": 0.000459,
      "solveSecondsAll": [
        0.011525,
        0.000636,
        0.000636,
        0.00093,
        0.00158,
        0.00133,
        0.000746,
        0.000738,
        0.001679,
        0.001792,
        0.000866,
        0.001346,
        0.001879,
        0.00188,
        0.001695,
        0.00189,
        0.00192,
        0.001795,
        0.001658,
        0.001636,
        0.001253,
        0.001701,
        0.000859,
        0.000526,
        0.000552,
        0.000705,
        0.00071,
        0.000682,
        0.000821,
        0.000697,
        0.000733,
        0.00067,
        0.000643,
        0.000594,
        0.000634,
        0.000625,
        0.000626,
        0.00068,
        0.000638,
        0.00052,
        0.000589,
        0.000622,
        0.000573,
        0.000502,
        0.00057,
        0.00054,
        0.000552,
        0.000471,
        0.00055,
        0.000459
      ],
      "coldSeconds": 0.003409,
      "relMax": 2.863145739656076,
      "relL2": 0.6411353536694087
    },
    {
      "n": 96,
      "solveSeconds": 0.000559,
      "solveSecondsAll": [
        0.002536,
        0.001188,
        0.002569,
        0.000853,
        0.001173,
        0.001749,
        0.001691,
        0.001779,
        0.001745,
        0.001603,
        0.00162,
        0.001692,
        0.001498,
        0.001372,
        0.001441,
        0.001409,
        0.001343,
        0.001188,
        0.00114,
        0.001022,
        0.001024,
        0.000988,
        0.000963,
        0.00092,
        0.000914,
        0.00088,
        0.000879,
        0.000858,
        0.000842,
        0.000831,
        0.000836,
        0.000773,
        0.000795,
        0.000736,
        0.000778,
        0.00072,
        0.000699,
        0.000701,
        0.000681,
        0.000662,
        0.000654,
        0.000683,
        0.000642,
        0.000648,
        0.000678,
        0.000559,
        0.000611,
        0.000654,
        0.000612,
        0.000703
      ],
      "coldSeconds": 0.000966,
      "relMax": 2.18883584142697,
      "relL2": 0.4863389173131757
    },
    {
      "n": 128,
      "solveSeconds": 0.000734,
      "solveSecondsAll": [
        0.000876,
        0.000795,
        0.000865,
        0.000847,
        0.0008,
        0.000898,
        0.000874,
        0.000842,
        0.000734,
        0.000865,
        0.000784,
        0.000866,
        0.000836,
        0.000787,
        0.000783,
        0.000869,
        0.000869,
        0.00091,
        0.000888,
        0.000932,
        0.001081,
        0.000802,
        0.000873,
        0.001418,
        0.001312,
        0.002456,
        0.000989,
        0.000857,
        0.00092,
        0.000872,
        0.000882,
        0.000811,
        0.000874,
        0.000933,
        0.000888,
        0.000978,
        0.001083,
        0.001041,
        0.001562,
        0.001115,
        0.00093,
        0.000912,
        0.000856,
        0.000879,
        0.000891,
        0.000933,
        0.000897,
        0.000907,
        0.000904,
        0.000899
      ],
      "coldSeconds": 0.000928,
      "relMax": 1.709665533106157,
      "relL2": 0.3761618266378366
    },
    {
      "n": 192,
      "solveSeconds": 0.001407,
      "solveSecondsAll": [
        0.00148,
        0.001407,
        0.001452,
        0.001441,
        0.001466,
        0.001423,
        0.001545,
        0.00201,
        0.001781,
        0.001924,
        0.001848,
        0.001816,
        0.001901,
        0.001715,
        0.001736,
        0.001743,
        0.001819,
        0.001761,
        0.001767,
        0.00178,
        0.00186,
        0.001803,
        0.002724,
        0.002001,
        0.001954,
        0.001903,
        0.001449,
        0.001476,
        0.001436,
        0.001584,
        0.001467,
        0.00189,
        0.001689,
        0.001887,
        0.001841,
        0.001943,
        0.00189,
        0.001904,
        0.002462,
        0.001807,
        0.002076,
        0.001943,
        0.001754,
        0.00179,
        0.001753,
        0.001755,
        0.001915,
        0.001893,
        0.001762,
        0.002171
      ],
      "coldSeconds": 0.001745,
      "relMax": 1.0872325900106483,
      "relL2": 0.2361869184687327
    },
    {
      "n": 256,
      "solveSeconds": 0.002041,
      "solveSecondsAll": [
        0.002454,
        0.002881,
        0.002111,
        0.002148,
        0.002248,
        0.002109,
        0.002121,
        0.002065,
        0.002041,
        0.002158,
        0.002139,
        0.002134,
        0.002063,
        0.002185,
        0.002162,
        0.002272,
        0.00217,
        0.002632,
        0.002876,
        0.003483,
        0.00271,
        0.002837,
        0.002882,
        0.002482,
        0.002109,
        0.002083,
        0.002137,
        0.002202,
        0.002185,
        0.002127,
        0.002418,
        0.002794,
        0.002519,
        0.002392,
        0.002361,
        0.002338,
        0.002763,
        0.003067,
        0.002681,
        0.002233,
        0.00232,
        0.002244,
        0.002298,
        0.002271,
        0.002695,
        0.002831,
        0.003261,
        0.003183,
        0.003027,
        0.00265
      ],
      "coldSeconds": 0.002883,
      "relMax": 0.7164525480412305,
      "relL2": 0.15506601852436075
    },
    {
      "n": 384,
      "solveSeconds": 0.003527,
      "solveSecondsAll": [
        0.003627,
        0.003575,
        0.004066,
        0.004118,
        0.003828,
        0.003745,
        0.003625,
        0.003561,
        0.003624,
        0.003731,
        0.003527,
        0.003933,
        0.004534,
        0.004618,
        0.004006,
        0.004723,
        0.005129,
        0.00481,
        0.00461,
        0.004336,
        0.003991,
        0.003931,
        0.003678,
        0.003719,
        0.003758,
        0.003607,
        0.003717,
        0.004294,
        0.004216,
        0.003924,
        0.004001,
        0.003824,
        0.003662,
        0.005437,
        0.005335,
        0.006975,
        0.005317,
        0.004409,
        0.004089,
        0.004714,
        0.004337,
        0.00449,
        0.004827,
        0.004485,
        0.004269,
        0.004203,
        0.004066,
        0.003871,
        0.005982,
        0.005385
      ],
      "coldSeconds": 0.003629,
      "relMax": 0.33328135092225547,
      "relL2": 0.07144368708504326
    },
    {
      "n": 512,
      "solveSeconds": 0.006507,
      "solveSecondsAll": [
        0.006676,
        0.006881,
        0.00711,
        0.006895,
        0.006759,
        0.006507,
        0.006884,
        0.007303,
        0.007437,
        0.006691,
        0.006697,
        0.006806,
        0.007473,
        0.007495,
        0.007131,
        0.007429,
        0.007229,
        0.007576,
        0.007799,
        0.007383,
        0.008549,
        0.007588,
        0.007532,
        0.006973,
        0.00718,
        0.007669,
        0.0073,
        0.007155,
        0.007834,
        0.016861,
        0.007607,
        0.007027,
        0.007917,
        0.007523,
        0.007352,
        0.006724,
        0.007563,
        0.016242,
        0.007435,
        0.006844,
        0.036186,
        0.008627,
        0.007433,
        0.008565,
        0.008605,
        0.008729,
        0.00694,
        0.006905,
        0.006516,
        0.006793
      ],
      "coldSeconds": 0.008728,
      "relMax": 0.16539760757817354,
      "relL2": 0.03552444030506169
    },
    {
      "n": 768,
      "solveSeconds": 0.018662,
      "solveSecondsAll": [
        0.020029,
        0.022786,
        0.027101,
        0.021155,
        0.036658,
        0.021796,
        0.027324,
        0.027138,
        0.036973,
        0.021599,
        0.02509,
        0.020699,
        0.018662,
        0.036637,
        0.0248,
        0.024516,
        0.023236,
        0.020119,
        0.022669,
        0.021712
      ],
      "coldSeconds": 0.023034,
      "relMax": 0.04554029343700318,
      "relL2": 0.009620120323947703
    },
    {
      "n": 1024,
      "solveSeconds": 0.028336,
      "solveSecondsAll": [
        0.034087,
        0.033941,
        0.063779,
        0.034348,
        0.040838,
        0.046626,
        0.048154,
        0.029984,
        0.028338,
        0.028336,
        0.033086,
        0.031906,
        0.034068,
        0.036307
      ],
      "coldSeconds": 0.040028,
      "relMax": 0.013366296792625262,
      "relL2": 0.0028206037009742115
    },
    {
      "n": 1536,
      "solveSeconds": 0.10389,
      "solveSecondsAll": [
        0.124124,
        0.104102,
        0.104132,
        0.10389,
        0.111191
      ],
      "coldSeconds": 0.106693,
      "relMax": 0.001202860109490264,
      "relL2": 0.00025379689758792725
    },
    {
      "n": 2048,
      "solveSeconds": 0.244718,
      "solveSecondsAll": [
        0.302583,
        0.273966,
        0.244718,
        0.276534,
        0.281116
      ],
      "coldSeconds": 0.244574,
      "relMax": 0.00010921638746077781,
      "relL2": 0.00002304405546853593
    },
    {
      "n": 3072,
      "solveSeconds": 0.472443,
      "solveSecondsAll": [
        0.500343,
        0.556459,
        0.472443,
        0.515149,
        0.491804
      ],
      "coldSeconds": 0.48274,
      "relMax": 9.01755589884286e-7,
      "relL2": 1.9026545616975062e-7
    },
    {
      "n": 4096,
      "solveSeconds": 1.048958,
      "solveSecondsAll": [
        1.10629,
        1.182119,
        1.105386,
        1.048958,
        1.087501
      ],
      "coldSeconds": 1.115023,
      "relMax": 7.4459688365643635e-9,
      "relL2": 1.5710583623527977e-9
    }
  ]
}