{
  "config": {
    "seeds": [
      42,
      123,
      456
    ],
    "num_layers": 8,
    "embed_dim": 16,
    "hidden_dim": 32,
    "num_context_pairs": 5,
    "training_grid_sizes": [
      16,
      24,
      32
    ],
    "eval_grid_sizes": [
      16,
      24,
      32,
      48
    ],
    "training_epochs": 500,
    "matrices_per_epoch": 4,
    "batch_size": 16,
    "learning_rate": 0.001,
    "gmres_restart": 30,
    "gmres_max_iters": 300,
    "gmres_rtol": 1e-06,
    "num_test_matrices": 20,
    "test_domains": [
      "diffusion",
      "advection",
      "graph_laplacian"
    ]
  },
  "seeds": [
    {
      "seed": 42,
      "models": [
        {
          "name": "No Preconditioner",
          "param_count": 0,
          "train_time": 0.0,
          "train_history": [],
          "eval": {
            "diffusion_16": {
              "iterations": [
                77,
                100,
                83,
                78,
                77,
                92,
                78,
                91,
                98,
                103,
                106,
                76,
                80,
                99,
                116,
                83,
                87,
                91,
                82,
                86
              ],
              "converged": [
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true
              ],
              "final_residuals": [
                9.179614471129425e-07,
                9.307896628594875e-07,
                9.921699109440827e-07,
                9.99998769557713e-07,
                9.889537123289207e-07,
                9.921715075464122e-07,
                9.692106875214645e-07,
                9.421424498564919e-07,
                8.965093469817251e-07,
                9.575377806002933e-07,
                9.410963601726259e-07,
                9.991855316116535e-07,
                8.185070662466136e-07,
                9.690136336394037e-07,
                9.525268265096137e-07,
                9.533396627751897e-07,
                9.969482963816195e-07,
                9.717944782725867e-07,
                9.392704034901964e-07,
                9.877302293946654e-07
              ],
              "solve_times": [
                0.44745184900011736,
                0.40369109599987496,
                0.354467977000013,
                0.31947231999993164,
                0.29921110999998746,
                0.3845594859999437,
                0.30467133499996635,
                0.39268080900001223,
                0.42976071300017793,
                0.41239398799984883,
                0.4451050180000493,
                0.29948487699994075,
                0.3166279619999841,
                0.4074307429998498,
                0.47950166900000113,
                0.3572854159999679,
                0.362164618999941,
                0.38067958999999973,
                0.3308385719999478,
                0.353500977000067
              ],
              "avg_iterations": 89.15,
              "convergence_rate": 1.0
            },
            "diffusion_24": {
              "iterations": [
                142,
                146,
                139,
                165,
                139,
                139,
                150,
                140,
                242,
                147,
                158,
                144,
                143,
                168,
                152,
                126,
                154,
                147,
                138,
                143
              ],
              "converged": [
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true
              ],
              "final_residuals": [
                9.550797302627224e-07,
                9.638133033394047e-07,
                9.918065186729356e-07,
                9.962314924890448e-07,
                9.745370592413457e-07,
                9.852604500385284e-07,
                9.937818806054518e-07,
                9.840449338564995e-07,
                9.924653103078892e-07,
                9.487556607305237e-07,
                9.977911497179985e-07,
                9.684746700230051e-07,
                9.83845112135166e-07,
                9.80670170211614e-07,
                9.98315888181575e-07,
                9.73714831753649e-07,
                9.978964018834824e-07,
                9.99541841649823e-07,
                9.565719625050466e-07,
                9.688421704240074e-07
              ],
              "solve_times": [
                0.5844251119999626,
                0.6157128479999301,
                0.5702100739999878,
                0.6729997770000864,
                0.5703174059999583,
                0.5810720049998963,
                0.6352486750001844,
                0.5728748359999827,
                1.0134547959999054,
                0.6089466549999543,
                0.6531791689999409,
                0.6205907860000934,
                0.5840170809999563,
                0.6902606999999534,
                0.6346904520000862,
                0.5210130500001924,
                0.6741939050000383,
                0.6149159670001154,
                0.5691747589999068,
                0.6336844569998448
              ],
              "avg_iterations": 151.1,
              "convergence_rate": 1.0
            },
            "diffusion_32": {
              "iterations": [
                179,
                278,
                175,
                180,
                172,
                178,
                174,
                212,
                231,
                200,
                187,
                212,
                162,
                201,
                207,
                143,
                148,
                158,
                149,
                215
              ],
              "converged": [
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true
              ],
              "final_residuals": [
                9.928013379450416e-07,
                9.942689405510014e-07,
                9.96744998707244e-07,
                9.806002060587168e-07,
                9.75985143561241e-07,
                9.933011468070365e-07,
                9.998093868007762e-07,
                9.931669523506382e-07,
                9.924823454882449e-07,
                9.917032929033768e-07,
                9.780001983902366e-07,
                9.849678361178901e-07,
                9.932049508981986e-07,
                9.625199157172413e-07,
                9.871267908537925e-07,
                9.577927202209473e-07,
                9.879061314542818e-07,
                9.966578326518832e-07,
                9.973922896936269e-07,
                9.998804553562674e-07
              ],
              "solve_times": [
                0.7638922789999469,
                1.1692977659999997,
                0.7324704660002226,
                0.7707722140000897,
                0.715077188999885,
                0.7598019510000995,
                0.733981692000043,
                0.9011414689998674,
                0.9706968529999358,
                0.8302443959998982,
                0.7856594980000864,
                0.922415122999837,
                0.6672300689999702,
                0.8477203299999019,
                0.8791495150001083,
                0.596640485999842,
                0.6324426179999136,
                0.6710116360000029,
                0.6669534519999161,
                0.9425675740001225
              ],
              "avg_iterations": 188.05,
              "convergence_rate": 1.0
            },
            "diffusion_48": {
              "iterations": [
                300,
                215,
                300,
                274,
                300,
                300,
                300,
                295,
                292,
                251,
                299,
                249,
                300,
                300,
                300,
                247,
                284,
                284,
                262,
                207
              ],
              "converged": [
                false,
                true,
                false,
                true,
                false,
                false,
                false,
                true,
                true,
                true,
                true,
                true,
                false,
                false,
                false,
                true,
                true,
                true,
                true,
                true
              ],
              "final_residuals": [
                1.5226702366480313e-06,
                9.990115919073803e-07,
                1.0623233174544554e-06,
                9.948729427983617e-07,
                1.0817656608488699e-06,
                1.035968736961434e-06,
                1.661800051892952e-06,
                9.971117046818385e-07,
                9.945606243450133e-07,
                9.933112955246432e-07,
                9.93156971009229e-07,
                9.941651570407788e-07,
                2.0046562025400765e-06,
                1.0571293042518113e-06,
                1.554181462924103e-06,
                9.873628918807974e-07,
                9.944357498175659e-07,
                9.992561530484318e-07,
                9.828028235672276e-07,
                9.839979451596332e-07
              ],
              "solve_times": [
                1.3054601149999598,
                0.9270705370001906,
                1.297089546000052,
                1.1699458820000928,
                1.284745669999893,
                1.2881911219999438,
                1.298067700000047,
                1.2547573269998793,
                1.2340666659999897,
                1.0520169710000573,
                1.2732318270000178,
                1.120624442999997,
                1.2829860659999213,
                1.2965432260000398,
                1.280548299999964,
                1.0463962650001122,
                1.195980524000106,
                1.2073571720000018,
                1.1229255240000384,
                0.9133181150000382
              ],
              "avg_iterations": 277.95,
              "convergence_rate": 0.6
            },
            "advection_16": {
              "iterations": [
                76,
                86,
                88,
                84,
                94,
                79,
                76,
                81,
                90,
                85,
                102,
                94,
                87,
                104,
                87,
                82,
                89,
                82,
                92,
                90
              ],
              "converged": [
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true
              ],
              "final_residuals": [
                9.287068025463184e-07,
                9.311696739338405e-07,
                9.908162259784056e-07,
                9.485003736137903e-07,
                8.971592726143367e-07,
                9.28849084789194e-07,
                9.62351334237261e-07,
                9.076933963443435e-07,
                8.911111449789587e-07,
                9.617029658757326e-07,
                9.224848485037185e-07,
                9.475224460988767e-07,
                9.31976981676081e-07,
                9.660662403167284e-07,
                9.862966272691832e-07,
                9.762900444326555e-07,
                9.78192363750478e-07,
                9.840002849783938e-07,
                9.632587771968494e-07,
                9.498876308045703e-07
              ],
              "solve_times": [
                0.29826542999990124,
                0.35207884399983413,
                0.3670342289999553,
                0.3430509489999167,
                0.3945223509999778,
                0.3250528410001152,
                0.31466913999997814,
                0.3231461830000626,
                0.37950736700008747,
                0.34416350100013915,
                0.4073982930001421,
                0.435988203000079,
                0.3582705559999795,
                0.4170312159999412,
                0.35920598699999573,
                0.32745280500012086,
                0.38478242199994384,
                0.327789889000087,
                0.38387916200008476,
                0.37890195299996776
              ],
              "avg_iterations": 87.4,
              "convergence_rate": 1.0
            },
            "advection_24": {
              "iterations": [
                173,
                126,
                139,
                126,
                158,
                132,
                139,
                150,
                147,
                129,
                152,
                119,
                114,
                153,
                126,
                144,
                126,
                140,
                123,
                127
              ],
              "converged": [
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true
              ],
              "final_residuals": [
                9.811891753359051e-07,
                9.990324112578737e-07,
                9.566955097755256e-07,
                9.848386677245694e-07,
                9.681355926644957e-07,
                9.742938385792895e-07,
                9.712269817842494e-07,
                9.635677714940236e-07,
                9.645223701160156e-07,
                9.704842198727884e-07,
                9.848354777965766e-07,
                9.532011805273377e-07,
                9.502528376842409e-07,
                9.605011722615076e-07,
                9.826371116130909e-07,
                9.7860171911828e-07,
                9.85636277323315e-07,
                9.52747397241912e-07,
                9.861554537632032e-07,
                9.860003352845887e-07
              ],
              "solve_times": [
                0.7100468839998939,
                0.5159746599999835,
                0.5612352309999551,
                0.5175124630000028,
                0.6449415359998056,
                0.5331839429998126,
                0.5636890860000676,
                0.6308425969998552,
                0.6093098940000345,
                0.5206999090000863,
                0.6465408599999591,
                0.49479215000019394,
                0.4728097220001928,
                0.6344236329998694,
                0.5207355089999055,
                0.5925105400001485,
                0.5167048660000546,
                0.5700471079999261,
                0.5079288670001461,
                0.5178073639999639
              ],
              "avg_iterations": 137.15,
              "convergence_rate": 1.0
            },
            "advection_32": {
              "iterations": [
                156,
                139,
                172,
                194,
                223,
                154,
                198,
                228,
                153,
                172,
                197,
                194,
                170,
                257,
                193,
                213,
                153,
                172,
                170,
                200
              ],
              "converged": [
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true
              ],
              "final_residuals": [
                9.439898195746504e-07,
                9.800750471890073e-07,
                9.871834627514019e-07,
                9.871412595886927e-07,
                9.985420535391717e-07,
                9.58532749358498e-07,
                9.89635885336821e-07,
                9.81444892958645e-07,
                9.95849663478244e-07,
                9.830049777379424e-07,
                9.880402715293613e-07,
                9.86044462097994e-07,
                9.981416568187473e-07,
                9.970744727907183e-07,
                9.772234643205413e-07,
                9.95791572788015e-07,
                9.73798723618909e-07,
                9.982718476314456e-07,
                9.960960365596553e-07,
                9.947252307889424e-07
              ],
              "solve_times": [
                0.6557663109999794,
                0.583601692000002,
                0.7421056489999955,
                0.8160426570000254,
                0.9430344300001252,
                0.6466548329999569,
                0.8193037649998587,
                0.9492108829999779,
                0.6393851729999369,
                0.7112159350001548,
                0.8581609850000405,
                0.8212504470000113,
                0.7044137969999156,
                1.1232372050001231,
                0.8050865689999682,
                0.9142885280000428,
                0.6427841249999346,
                0.712853652999911,
                0.7369824239999616,
                0.8365588770000159
              ],
              "avg_iterations": 185.4,
              "convergence_rate": 1.0
            },
            "advection_48": {
              "iterations": [
                300,
                212,
                255,
                263,
                274,
                247,
                257,
                248,
                290,
                300,
                294,
                277,
                300,
                300,
                222,
                243,
                279,
                242,
                300,
                249
              ],
              "converged": [
                false,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                false,
                false,
                true,
                true,
                true,
                true,
                false,
                true
              ],
              "final_residuals": [
                1.108894094530993e-06,
                9.812305140765766e-07,
                9.883909406966606e-07,
                9.995483381174946e-07,
                9.894326250519946e-07,
                9.913039594248355e-07,
                9.908699306225346e-07,
                9.862450786401145e-07,
                9.869475634640064e-07,
                9.849644038889709e-07,
                9.87940510110558e-07,
                9.87779593667715e-07,
                1.0259974019743e-06,
                1.2989660443676632e-06,
                9.947796317852797e-07,
                9.880721245409214e-07,
                9.985824355274345e-07,
                9.988269624497786e-07,
                1.9953645578325407e-06,
                9.940627652026235e-07
              ],
              "solve_times": [
                1.2967354970000997,
                0.9002720070000123,
                1.090484786999923,
                1.1400312170001143,
                1.1889561670000148,
                1.038210718000073,
                1.093355610000117,
                1.0535215299998981,
                1.2339048040000762,
                1.2735355639999852,
                1.2410742849999679,
                1.1704666410000755,
                1.2845993860000817,
                1.299308124999925,
                0.9377162789999147,
                1.025649630000089,
                1.194374315999994,
                1.046364193000045,
                1.2867493169999307,
                1.0441056640001989
              ],
              "avg_iterations": 267.6,
              "convergence_rate": 0.8
            },
            "graph_laplacian_16": {
              "iterations": [
                15,
                14,
                14,
                13,
                16,
                15,
                13,
                15,
                16,
                15,
                14,
                15,
                16,
                14,
                14,
                14,
                15,
                16,
                14,
                16
              ],
              "converged": [
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true
              ],
              "final_residuals": [
                6.517177302612887e-07,
                9.906250057667284e-07,
                3.4763045090526904e-07,
                8.708222020421609e-07,
                3.493562337808801e-07,
                6.014910037420963e-07,
                7.278892163263304e-07,
                8.466422077395969e-07,
                3.519609263892013e-07,
                7.812360611466873e-07,
                5.799588249940384e-07,
                8.030142651576926e-07,
                5.217388867951473e-07,
                6.3955992557235e-07,
                6.407020574238307e-07,
                6.889859726429568e-07,
                8.54727235156029e-07,
                5.242282590745187e-07,
                3.704735861073416e-07,
                3.615115913689225e-07
              ],
              "solve_times": [
                0.040559603000019706,
                0.036603439999908005,
                0.03637314000002334,
                0.03249076800011608,
                0.04454565100013497,
                0.040560447999951066,
                0.03253742700007933,
                0.040269710000075065,
                0.04461946299988995,
                0.04036234799991689,
                0.036284091000197805,
                0.04034678399989389,
                0.04450846700001421,
                0.03650211199988007,
                0.036359657999810224,
                0.03643698699988818,
                0.040590412000028664,
                0.0472657259999778,
                0.03676124300000083,
                0.045445050999887826
              ],
              "avg_iterations": 14.7,
              "convergence_rate": 1.0
            },
            "graph_laplacian_24": {
              "iterations": [
                16,
                15,
                15,
                14,
                12,
                14,
                14,
                13,
                15,
                14,
                15,
                15,
                15,
                15,
                15,
                14,
                14,
                14,
                15,
                16
              ],
              "converged": [
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true
              ],
              "final_residuals": [
                5.237797935481668e-07,
                3.9156414147882585e-07,
                5.62873496907854e-07,
                4.649438465412814e-07,
                5.136907474047354e-07,
                9.774475909705509e-07,
                9.44309040489831e-07,
                4.5221371811683764e-07,
                6.785309092868782e-07,
                2.7787418364121984e-07,
                5.248038961646618e-07,
                2.7085806305871976e-07,
                5.913823507846318e-07,
                5.861563221097455e-07,
                7.242045060068668e-07,
                6.949685314225813e-07,
                5.104288711665875e-07,
                4.21982834693953e-07,
                4.419309122127501e-07,
                5.288362096369524e-07
              ],
              "solve_times": [
                0.04519590700010667,
                0.04158761999997296,
                0.04147749200001272,
                0.03740551200007758,
                0.029242405000104554,
                0.03729955099993276,
                0.03742529600003763,
                0.032750557999861485,
                0.04152521500009243,
                0.03678292600011446,
                0.04078870100011045,
                0.04158361999998306,
                0.041596977000153856,
                0.041511632000037935,
                0.04079711200006386,
                0.03652685699989888,
                0.037384869000106846,
                0.03732646000003115,
                0.04130525799996576,
                0.04577731099993798
              ],
              "avg_iterations": 14.5,
              "convergence_rate": 1.0
            },
            "graph_laplacian_32": {
              "iterations": [
                15,
                14,
                15,
                15,
                16,
                16,
                13,
                15,
                16,
                15,
                15,
                16,
                16,
                16,
                15,
                14,
                15,
                14,
                13,
                14
              ],
              "converged": [
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true
              ],
              "final_residuals": [
                3.6865689178596327e-07,
                4.946584623295917e-07,
                4.1932523018524197e-07,
                7.164688828686661e-07,
                4.353878803959363e-07,
                3.50972999222881e-07,
                3.8972420818089976e-07,
                6.116275900607454e-07,
                4.5547649203366636e-07,
                7.339412554459222e-07,
                8.760642138476459e-07,
                4.488498302762755e-07,
                3.8104533582639865e-07,
                3.5605596604942724e-07,
                3.836809840854068e-07,
                7.086943035855099e-07,
                5.839675582131321e-07,
                7.519468111459164e-07,
                9.457085111180148e-07,
                6.65073774426213e-07
              ],
              "solve_times": [
                0.04143907999991825,
                0.039363331999993534,
                0.0435964679998051,
                0.04165191699985371,
                0.04589095799997267,
                0.045899624999947264,
                0.03332765799996196,
                0.04174349999993865,
                0.04594028800011074,
                0.04156368000008115,
                0.04145586899994669,
                0.04570339199995033,
                0.04586713599996983,
                0.04588855599990893,
                0.04161315900000773,
                0.037515922000011415,
                0.04294010100011292,
                0.037477330999990954,
                0.03355920800004242,
                0.03739441600009741
              ],
              "avg_iterations": 14.9,
              "convergence_rate": 1.0
            },
            "graph_laplacian_48": {
              "iterations": [
                15,
                15,
                15,
                13,
                14,
                13,
                15,
                15,
                13,
                13,
                15,
                13,
                15,
                15,
                15,
                15,
                14,
                12,
                15,
                14
              ],
              "converged": [
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true
              ],
              "final_residuals": [
                9.498723484015913e-07,
                7.972699293156366e-07,
                9.652253658174453e-07,
                9.388778758574475e-07,
                3.822383524860774e-07,
                5.548609675162621e-07,
                4.0157122504950856e-07,
                5.164922802438703e-07,
                7.149698436958878e-07,
                8.425976946817788e-07,
                6.118590986911301e-07,
                4.592220503361021e-07,
                3.2429975754424067e-07,
                8.960177643772931e-07,
                4.5121210216919147e-07,
                3.5127225173381064e-07,
                3.1247793952301107e-07,
                5.005714443309471e-07,
                6.706917234432125e-07,
                7.824911119364775e-07
              ],
              "solve_times": [
                0.044393680999974094,
                0.041429710999864255,
                0.04204542499996933,
                0.03345377400000871,
                0.03764086499995756,
                0.03365427199992155,
                0.04141958600007456,
                0.041569574000050125,
                0.033596727000031024,
                0.03344392999997581,
                0.04161255400003938,
                0.033302807999916695,
                0.0417616080001153,
                0.04234347100009472,
                0.041937688999951206,
                0.04178604300000188,
                0.03768831599995792,
                0.030009858000084932,
                0.04186199899982057,
                0.037712774999818066
              ],
              "avg_iterations": 14.2,
              "convergence_rate": 1.0
            }
          }
        },
        {
          "name": "Jacobi",
          "param_count": 0,
          "train_time": 0.0,
          "train_history": [],
          "eval": {
            "diffusion_16": {
              "iterations": [
                57,
                73,
                62,
                65,
                73,
                65,
                70,
                70,
                72,
                60,
                73,
                59,
                78,
                79,
                76,
                64,
                69,
                73,
                71,
                69
              ],
              "converged": [
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true
              ],
              "final_residuals": [
                9.116713241383724e-07,
                8.573587609046922e-07,
                9.012735867192169e-07,
                9.905418642259227e-07,
                9.571414683347686e-07,
                8.778904900500693e-07,
                9.499721052779067e-07,
                8.808873548273749e-07,
                9.150096065776823e-07,
                9.914574486799502e-07,
                9.913246167959444e-07,
                9.62940913745731e-07,
                8.965447425058104e-07,
                9.28333069964201e-07,
                8.570456551613251e-07,
                8.954662604968592e-07,
                9.173511618968722e-07,
                9.557303382284384e-07,
                9.940891159416134e-07,
                9.263931557347644e-07
              ],
              "solve_times": [
                0.26200283000002855,
                0.28688976300009017,
                0.26695022400008384,
                0.2644028330000765,
                0.2857456209999327,
                0.2877086480000344,
                0.2797552300000916,
                0.2780997849999949,
                0.2822884060001343,
                0.2549173819998032,
                0.2850969480000458,
                0.24907688600001165,
                0.3105980870000167,
                0.3887729109999327,
                0.30050416799986124,
                0.26282269900002575,
                0.28672208600005433,
                0.287436759000002,
                0.2798162469998715,
                0.2744563650001055
              ],
              "avg_iterations": 68.9,
              "convergence_rate": 1.0
            },
            "diffusion_24": {
              "iterations": [
                103,
                90,
                88,
                116,
                81,
                97,
                99,
                86,
                117,
                110,
                106,
                97,
                102,
                108,
                98,
                106,
                108,
                100,
                106,
                115
              ],
              "converged": [
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true
              ],
              "final_residuals": [
                9.426465485913453e-07,
                9.794601082529793e-07,
                9.915606941100913e-07,
                9.77564361664843e-07,
                9.024641578268581e-07,
                9.713734723271079e-07,
                9.556359514749124e-07,
                9.411366464182339e-07,
                9.05721718836348e-07,
                8.973530057967794e-07,
                9.469754497205923e-07,
                9.574607965025745e-07,
                9.634819819725642e-07,
                9.283085137594286e-07,
                9.971812080020057e-07,
                9.287713421938854e-07,
                9.072189052850782e-07,
                9.90212950766976e-07,
                9.007192892202676e-07,
                9.49056541751082e-07
              ],
              "solve_times": [
                0.41751440300004106,
                0.3839980499999456,
                0.3805581500000699,
                0.48043540000003304,
                0.33655909399999473,
                0.39626422599985744,
                0.401506315000006,
                0.3738498770001115,
                0.48800663699989855,
                0.4592308240000875,
                0.4266905050001242,
                0.39899095300006593,
                0.41558775500016054,
                0.4469349749999765,
                0.4264644649999809,
                0.4280583319998641,
                0.4357227169998623,
                0.4027557080000861,
                0.4362637460001224,
                0.47549340099999426
              ],
              "avg_iterations": 101.65,
              "convergence_rate": 1.0
            },
            "diffusion_32": {
              "iterations": [
                117,
                172,
                147,
                138,
                137,
                126,
                143,
                132,
                124,
                134,
                119,
                118,
                131,
                140,
                110,
                108,
                112,
                120,
                106,
                136
              ],
              "converged": [
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true
              ],
              "final_residuals": [
                9.870684950104492e-07,
                9.859384839228298e-07,
                9.375053201418817e-07,
                9.614404649908564e-07,
                9.98994522166671e-07,
                9.793633427291557e-07,
                9.879869185865998e-07,
                9.826741980306053e-07,
                9.929204322869886e-07,
                9.88654787000341e-07,
                9.978433087300625e-07,
                9.825213099699917e-07,
                9.831603279388614e-07,
                9.701422316996816e-07,
                9.589411834308628e-07,
                9.646581570477381e-07,
                9.882317386973369e-07,
                9.909563426262404e-07,
                9.663420694970224e-07,
                9.92657940317722e-07
              ],
              "solve_times": [
                0.492260535000014,
                0.7373942579999948,
                0.6275336899998365,
                0.5916687819999424,
                0.5910916489999636,
                0.5240099080001528,
                0.5955389229998218,
                0.5422207910000907,
                0.5495448019999003,
                0.5501701460000277,
                0.5080346879999524,
                0.5016487610000695,
                0.5432373370001642,
                0.5939437089998592,
                0.44997981000005893,
                0.4425199319998683,
                0.4684049810000488,
                0.5161831220000295,
                0.43053133300008994,
                0.5854625689999011
              ],
              "avg_iterations": 128.5,
              "convergence_rate": 1.0
            },
            "diffusion_48": {
              "iterations": [
                156,
                172,
                198,
                186,
                193,
                201,
                163,
                186,
                137,
                168,
                159,
                182,
                198,
                139,
                184,
                159,
                197,
                152,
                174,
                134
              ],
              "converged": [
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true
              ],
              "final_residuals": [
                9.889715609616788e-07,
                9.722331765790208e-07,
                9.826448215855052e-07,
                9.924857203501824e-07,
                9.849229223423932e-07,
                9.77898211383621e-07,
                9.983891914732597e-07,
                9.770870832872288e-07,
                9.968999638170824e-07,
                9.831217590540399e-07,
                9.934325735639293e-07,
                9.799992111727358e-07,
                9.987626923910707e-07,
                9.777762473439194e-07,
                9.929900257669678e-07,
                9.981956821553012e-07,
                9.714775078368389e-07,
                9.659994058016322e-07,
                9.921120388468384e-07,
                9.994852572670692e-07
              ],
              "solve_times": [
                0.6546998410001379,
                0.7205633169999146,
                0.8302411849999771,
                0.7872271860001092,
                0.8107860709999386,
                0.8457884609999837,
                0.6961175020001065,
                0.8170480179999231,
                0.572395798000116,
                0.7022506799999064,
                0.664620856999818,
                0.7951084649998847,
                0.8555264740000439,
                0.5803149609998854,
                0.7947906009999315,
                0.673834774999932,
                0.8212400039999466,
                0.6564177039999777,
                0.7326651400001083,
                0.5530228830000397
              ],
              "avg_iterations": 171.9,
              "convergence_rate": 1.0
            },
            "advection_16": {
              "iterations": [
                66,
                76,
                66,
                67,
                69,
                68,
                60,
                62,
                70,
                70,
                75,
                63,
                73,
                66,
                64,
                81,
                69,
                70,
                74,
                64
              ],
              "converged": [
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true
              ],
              "final_residuals": [
                9.190756636661966e-07,
                8.999912747035328e-07,
                9.736111288907432e-07,
                9.962575539979011e-07,
                9.211391443577691e-07,
                9.779542198104782e-07,
                8.932123801238199e-07,
                9.145296668951257e-07,
                9.385895593416365e-07,
                9.062198106765421e-07,
                9.79287815434272e-07,
                9.62548145072359e-07,
                8.701611348485595e-07,
                9.652681085122993e-07,
                8.079266004742788e-07,
                9.199267380056487e-07,
                9.385699792566602e-07,
                9.654687986560084e-07,
                9.537192201366846e-07,
                9.994512577142813e-07
              ],
              "solve_times": [
                0.2652953730000718,
                0.30287845600014407,
                0.26605577399982394,
                0.26770972100007384,
                0.2724299690000862,
                0.2698186049999549,
                0.25419629400016674,
                0.257906610000191,
                0.2760798760000398,
                0.27709215799995945,
                0.2940568680000979,
                0.2585443179998492,
                0.2858969189999243,
                0.27797679000013886,
                0.2608819390000008,
                0.32372175899990907,
                0.28492815000004157,
                0.31212628200000836,
                0.29029730199999904,
                0.26516163900009815
              ],
              "avg_iterations": 68.65,
              "convergence_rate": 1.0
            },
            "advection_24": {
              "iterations": [
                115,
                78,
                95,
                86,
                108,
                100,
                88,
                98,
                117,
                105,
                108,
                102,
                82,
                87,
                110,
                108,
                97,
                85,
                111,
                84
              ],
              "converged": [
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true
              ],
              "final_residuals": [
                9.684194203658014e-07,
                8.494088010526618e-07,
                9.410801168018567e-07,
                9.62499641739175e-07,
                9.467854228121772e-07,
                9.965556393562102e-07,
                9.923241160203754e-07,
                9.623554780955256e-07,
                9.771079261350061e-07,
                9.418589445964771e-07,
                9.99153891038353e-07,
                9.620197700546503e-07,
                9.268418272394635e-07,
                9.92396349346117e-07,
                9.64448100842906e-07,
                9.375023724670783e-07,
                9.771293145307184e-07,
                8.684465943424902e-07,
                9.368435761803467e-07,
                9.273493178223291e-07
              ],
              "solve_times": [
                0.4739760280001519,
                0.31210486500003753,
                0.3894340150000062,
                0.3531536150001102,
                0.5168970549998448,
                0.4048497539999971,
                0.3662895610000305,
                0.3967656560000705,
                0.4868620130000636,
                0.42196167899987813,
                0.43599506200007454,
                0.4108747070001755,
                0.32943246999980147,
                0.3629649470001368,
                0.4478998979998323,
                0.43600935600011326,
                0.397375645000011,
                0.3501666550000664,
                0.4544819860000189,
                0.34213864000003014
              ],
              "avg_iterations": 98.2,
              "convergence_rate": 1.0
            },
            "advection_32": {
              "iterations": [
                124,
                134,
                131,
                146,
                137,
                136,
                123,
                115,
                97,
                128,
                112,
                107,
                122,
                150,
                140,
                148,
                122,
                128,
                121,
                129
              ],
              "converged": [
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true
              ],
              "final_residuals": [
                9.609176868392165e-07,
                9.825042569261891e-07,
                9.863457274062992e-07,
                9.592827936077258e-07,
                9.699192306465128e-07,
                9.833602417556555e-07,
                9.96622126339458e-07,
                9.901422339884845e-07,
                9.448460143616437e-07,
                9.874893040764539e-07,
                9.839569000246914e-07,
                9.005209685409531e-07,
                9.972111627226567e-07,
                9.633698507475981e-07,
                9.670878247813808e-07,
                9.976232971310334e-07,
                9.907289686208929e-07,
                9.796904623100272e-07,
                9.914281017680938e-07,
                9.667106537510872e-07
              ],
              "solve_times": [
                0.5229000849999466,
                0.5824215019999883,
                0.539058544999989,
                0.6205160570000317,
                0.5648902980001367,
                0.5713023710000016,
                0.5190484429999742,
                0.496037835999914,
                0.4143262439999944,
                0.5453286649999427,
                0.46318213099993955,
                0.4389011329999448,
                0.5198757949999617,
                0.6724200880000808,
                0.6091048669998145,
                0.6271841550001227,
                0.5571711780000896,
                0.5299916339999982,
                0.5160046630001034,
                0.5351644219999798
              ],
              "avg_iterations": 127.5,
              "convergence_rate": 1.0
            },
            "advection_48": {
              "iterations": [
                155,
                176,
                160,
                198,
                192,
                173,
                156,
                171,
                195,
                161,
                195,
                142,
                168,
                167,
                175,
                171,
                177,
                164,
                228,
                184
              ],
              "converged": [
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true
              ],
              "final_residuals": [
                9.821203645693832e-07,
                9.93111701474099e-07,
                9.79197983818132e-07,
                9.698670380008065e-07,
                9.82410056190924e-07,
                9.785763021854113e-07,
                9.951157521720982e-07,
                9.943778725437127e-07,
                9.753761555632155e-07,
                9.877834708719855e-07,
                9.725606968979396e-07,
                9.912732187856053e-07,
                9.612541424850048e-07,
                9.965007451183427e-07,
                9.938162615164757e-07,
                9.87464560756202e-07,
                9.783816245205175e-07,
                9.910544320326078e-07,
                9.803969872942166e-07,
                9.96221251416152e-07
              ],
              "solve_times": [
                0.65160855299996,
                0.7474673449999045,
                0.6841815679999854,
                0.8240486649999639,
                0.8055540389998441,
                0.7397466540001005,
                0.6523806550001154,
                0.712971576999962,
                0.8142741889998888,
                0.6761286659998405,
                0.8160611339999377,
                0.595137277999811,
                0.7289244779999535,
                0.6962954699999955,
                0.7387162079999143,
                0.7404486679999991,
                0.7773092909999377,
                0.7245100519999141,
                0.9513709299999391,
                0.7779272080001647
              ],
              "avg_iterations": 175.4,
              "convergence_rate": 1.0
            },
            "graph_laplacian_16": {
              "iterations": [
                9,
                9,
                8,
                8,
                9,
                8,
                9,
                9,
                9,
                9,
                9,
                8,
                9,
                8,
                8,
                9,
                9,
                10,
                8,
                9
              ],
              "converged": [
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true
              ],
              "final_residuals": [
                1.7420285413593409e-07,
                4.997139235724146e-07,
                8.144287147965632e-07,
                7.242079964304028e-07,
                5.649874023318574e-07,
                7.124288519217436e-07,
                2.664506352783645e-07,
                7.784347069500871e-07,
                4.1143749066672667e-07,
                4.243669421914839e-07,
                6.608646182126055e-07,
                8.665653247266943e-07,
                3.5961860353591113e-07,
                3.929512472879537e-07,
                4.391481312849965e-07,
                2.7083553553711784e-07,
                2.532210423935556e-07,
                4.3727617621820046e-07,
                6.903216382097223e-07,
                3.3906448573932364e-07
              ],
              "solve_times": [
                0.020241910999857282,
                0.020399446000055832,
                0.0175760669999363,
                0.01733800099987093,
                0.020273416000009092,
                0.017676116999837177,
                0.020349221000060425,
                0.02018964900003084,
                0.02018060500017782,
                0.020337972999868725,
                0.020506767000142645,
                0.017513117999897077,
                0.02039325100008682,
                0.017429019000019252,
                0.017433770000025106,
                0.020294625999895288,
                0.020153687999936665,
                0.023214672999984032,
                0.01732959299988579,
                0.02026238899998134
              ],
              "avg_iterations": 8.7,
              "convergence_rate": 1.0
            },
            "graph_laplacian_24": {
              "iterations": [
                8,
                8,
                8,
                8,
                8,
                8,
                7,
                8,
                8,
                7,
                8,
                8,
                8,
                8,
                9,
                8,
                7,
                7,
                7,
                8
              ],
              "converged": [
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true
              ],
              "final_residuals": [
                9.8586800703803e-07,
                1.3377454953941056e-07,
                1.7262043354350576e-07,
                1.307889056665562e-07,
                2.106681312298466e-07,
                1.655686950743464e-07,
                6.166970023882232e-07,
                1.6490742081535865e-07,
                2.420692782720123e-07,
                8.499224079003791e-07,
                4.254074029155958e-07,
                1.5500481062804418e-07,
                2.1342480636601827e-07,
                3.987565395019653e-07,
                5.071305437951237e-07,
                3.5306763841161294e-07,
                7.696581492179967e-07,
                4.863846688816435e-07,
                6.359157013954147e-07,
                3.5937638201495065e-07
              ],
              "solve_times": [
                0.01740993799990065,
                0.017796064999856753,
                0.017796996000015497,
                0.01782388199990237,
                0.01728673599996,
                0.017809558999942965,
                0.015154024999901594,
                0.017384288000130255,
                0.017838277999999264,
                0.014621211000076073,
                0.017351522999888402,
                0.017845011999952476,
                0.017755635999947117,
                0.017759671000021626,
                0.020089446999918437,
                0.017178539000042292,
                0.015023280000150407,
                0.015004202999989502,
                0.015011330000106682,
                0.017935218000047826
              ],
              "avg_iterations": 7.8,
              "convergence_rate": 1.0
            },
            "graph_laplacian_32": {
              "iterations": [
                7,
                7,
                8,
                8,
                8,
                7,
                7,
                7,
                8,
                8,
                8,
                8,
                7,
                8,
                7,
                7,
                7,
                8,
                8,
                8
              ],
              "converged": [
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true
              ],
              "final_residuals": [
                7.150958888025382e-07,
                1.7846791983426322e-07,
                2.2820304040904384e-07,
                1.5778715649759596e-07,
                1.811466622012184e-07,
                6.786108297666502e-07,
                4.254546516636069e-07,
                9.614010961679e-07,
                2.413041158645352e-07,
                2.269255529868341e-07,
                1.4238971667486796e-07,
                3.869426901404848e-07,
                5.838870230085152e-07,
                4.919499305997862e-07,
                4.016956552688588e-07,
                3.510982541280301e-07,
                9.786213637257642e-07,
                1.4238693574293751e-07,
                3.364123181682492e-07,
                2.923890857396171e-07
              ],
              "solve_times": [
                0.01535982299992611,
                0.0152047969997966,
                0.017811904000154755,
                0.017847505999952773,
                0.017854440000064642,
                0.015115014000002702,
                0.015130836000025738,
                0.015048742999852038,
                0.017694980999976906,
                0.01772809099998085,
                0.017674709000175426,
                0.01791838999997708,
                0.015128801999935604,
                0.01776947200005452,
                0.01504068899998856,
                0.01503252399993471,
                0.019561506999934863,
                0.018012054000109856,
                0.017995564999864655,
                0.01789294299987887
              ],
              "avg_iterations": 7.55,
              "convergence_rate": 1.0
            },
            "graph_laplacian_48": {
              "iterations": [
                7,
                7,
                8,
                7,
                6,
                6,
                7,
                7,
                6,
                6,
                7,
                7,
                7,
                7,
                7,
                6,
                7,
                6,
                7,
                7
              ],
              "converged": [
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true
              ],
              "final_residuals": [
                1.5342087172833514e-07,
                2.0517986336534045e-07,
                1.245112945221245e-07,
                1.1815624654289962e-07,
                9.13587558644445e-07,
                7.023801314608686e-07,
                6.174860548362909e-07,
                2.7310612641388853e-07,
                5.571442632469354e-07,
                4.989309223435956e-07,
                1.2956198714357808e-07,
                2.0182939957423235e-07,
                1.5394938196438187e-07,
                1.431117892633808e-07,
                1.4594456919502994e-07,
                4.636744181850636e-07,
                9.655252510493402e-08,
                4.3267337893779157e-07,
                2.988423244257842e-07,
                9.217635515020725e-08
              ],
              "solve_times": [
                0.01537937500006592,
                0.015404314999841517,
                0.018131141000139905,
                0.015433322000035332,
                0.013726648999863755,
                0.017442768999899272,
                0.020736349999879167,
                0.020728058000031524,
                0.01592264900000373,
                0.012713232000123753,
                0.015230657999836694,
                0.01509324500011644,
                0.015178885000068476,
                0.01517997800010562,
                0.015114454000013211,
                0.012691105999920183,
                0.015424577000203499,
                0.012666208999917217,
                0.015241691000028368,
                0.015207780999844545
              ],
              "avg_iterations": 6.75,
              "convergence_rate": 1.0
            }
          }
        },
        {
          "name": "GCN",
          "param_count": 11074,
          "train_time": 49.655776480999975,
          "train_history": [
            0.7935358583927155,
            0.778218075633049,
            0.7730331122875214,
            0.7608924359083176,
            0.7475612312555313,
            0.7295529693365097,
            0.7286791354417801,
            0.7103537321090698,
            0.7017166018486023,
            0.6971384584903717,
            0.6765235066413879,
            0.6671717613935471,
            0.6588984429836273,
            0.6368998438119888,
            0.6430396884679794,
            0.6344754844903946,
            0.6529315263032913,
            0.619440108537674,
            0.617936372756958,
            0.6408397406339645,
            0.5951267629861832,
            0.6088527143001556,
            0.5946164131164551,
            0.5806335955858231,
            0.5939241200685501,
            0.5923553556203842,
            0.5745873600244522,
            0.5921987742185593,
            0.5903087854385376,
            0.5644892752170563,
            0.5590151399374008,
            0.5818376839160919,
            0.5513491183519363,
            0.5594300925731659,
            0.5449898689985275,
            0.543792724609375,
            0.5603171736001968,
            0.5565917417407036,
            0.5317389219999313,
            0.5133040472865105,
            0.5322747007012367,
            0.5051363632082939,
            0.5105887353420258,
            0.5024767965078354,
            0.5067704617977142,
            0.4663490653038025,
            0.512416772544384,
            0.46289772540330887,
            0.4718856140971184,
            0.4692164212465286,
            0.49178359657526016,
            0.4390513524413109,
            0.45485101640224457,
            0.4860730320215225,
            0.45788394659757614,
            0.41838597506284714,
            0.4409032240509987,
            0.47712288796901703,
            0.44578320533037186,
            0.43884943425655365,
            0.461393840610981,
            0.44296786934137344,
            0.4275506064295769,
            0.43929967284202576,
            0.43010079115629196,
            0.40101225674152374,
            0.4041001871228218,
            0.474070206284523,
            0.43715011328458786,
            0.4316351190209389,
            0.43319664150476456,
            0.3913886770606041,
            0.40028131753206253,
            0.3696734458208084,
            0.43991854786872864,
            0.39275094866752625,
            0.4082917049527168,
            0.3977697864174843,
            0.34866365790367126,
            0.39137382060289383,
            0.3800971210002899,
            0.4019685164093971,
            0.3622058853507042,
            0.347640298306942,
            0.3495826870203018,
            0.3885272964835167,
            0.35870054364204407,
            0.3588021621108055,
            0.323916994035244,
            0.3508375734090805,
            0.39986739307641983,
            0.3316258639097214,
            0.3426859676837921,
            0.3337443992495537,
            0.37656355649232864,
            0.33103716373443604,
            0.347823828458786,
            0.3167624846100807,
            0.3108791708946228,
            0.31984908878803253,
            0.2903127670288086,
            0.3136552795767784,
            0.2880680486559868,
            0.29438672214746475,
            0.3218929171562195,
            0.3047088533639908,
            0.28325264900922775,
            0.3014036491513252,
            0.2951391860842705,
            0.30031558126211166,
            0.3091398775577545,
            0.2682599201798439,
            0.2866797596216202,
            0.3233330547809601,
            0.35350940003991127,
            0.29980723559856415,
            0.3235405534505844,
            0.3081291653215885,
            0.26050906628370285,
            0.2445608787238598,
            0.3031020723283291,
            0.2576114758849144,
            0.2752397321164608,
            0.24495386332273483,
            0.28547217696905136,
            0.36030803620815277,
            0.331834364682436,
            0.33067966252565384,
            0.22693903371691704,
            0.2534792572259903,
            0.3298637717962265,
            0.30698105692863464,
            0.2609015665948391,
            0.23685606569051743,
            0.22885219007730484,
            0.2844180166721344,
            0.2727886438369751,
            0.2643195800483227,
            0.27453960105776787,
            0.2860536016523838,
            0.2516855373978615,
            0.2720423489809036,
            0.21323996409773827,
            0.2982536256313324,
            0.2481665126979351,
            0.21435438469052315,
            0.2127835862338543,
            0.2923686280846596,
            0.26252149417996407,
            0.2792203202843666,
            0.22790146246552467,
            0.27144739776849747,
            0.26038240268826485,
            0.34309976547956467,
            0.28263551369309425,
            0.23569803684949875,
            0.26320425048470497,
            0.25826965644955635,
            0.269851453602314,
            0.22500504553318024,
            0.20550351589918137,
            0.2657276690006256,
            0.21185830235481262,
            0.23994603008031845,
            0.24411216005682945,
            0.25073758140206337,
            0.2976495772600174,
            0.2582658976316452,
            0.20884453132748604,
            0.20919285714626312,
            0.2205323539674282,
            0.22577056288719177,
            0.22768467292189598,
            0.20916755869984627,
            0.2330520935356617,
            0.21370607987046242,
            0.24775366485118866,
            0.28595859184861183,
            0.23796996846795082,
            0.2761247158050537,
            0.23984796926379204,
            0.1989930272102356,
            0.20334967225790024,
            0.22623133286833763,
            0.23899000510573387,
            0.19833384826779366,
            0.24874210730195045,
            0.2145054005086422,
            0.19918179512023926,
            0.1921219453215599,
            0.2223244234919548,
            0.2228357307612896,
            0.22449052706360817,
            0.1826152540743351,
            0.2537485882639885,
            0.25922464951872826,
            0.2331213690340519,
            0.23393844068050385,
            0.1969892978668213,
            0.21718085184693336,
            0.21987434476613998,
            0.2094435729086399,
            0.1973801590502262,
            0.2263813503086567,
            0.24820693209767342,
            0.21598757058382034,
            0.23576964065432549,
            0.20615676045417786,
            0.20215846225619316,
            0.22185052186250687,
            0.21288425475358963,
            0.17975867167115211,
            0.21190759912133217,
            0.16607847809791565,
            0.2108595035970211,
            0.1930367276072502,
            0.1753190252929926,
            0.23887493461370468,
            0.19758755713701248,
            0.18025001510977745,
            0.19043127074837685,
            0.1918584741652012,
            0.17259303480386734,
            0.18874072656035423,
            0.21690234169363976,
            0.2180251143872738,
            0.18219422921538353,
            0.1713818721473217,
            0.17385760508477688,
            0.196549691259861,
            0.1978093683719635,
            0.2067762166261673,
            0.19133612513542175,
            0.21568280458450317,
            0.16731950640678406,
            0.18512731418013573,
            0.1941426731646061,
            0.19420814141631126,
            0.18367938697338104,
            0.18698295950889587,
            0.19981525093317032,
            0.20920455083251,
            0.20819539576768875,
            0.19512125104665756,
            0.17803270369768143,
            0.1809247024357319,
            0.16407505795359612,
            0.16057152673602104,
            0.17691281251609325,
            0.18605945631861687,
            0.198688805103302,
            0.20304375141859055,
            0.1777243334800005,
            0.1573702786117792,
            0.16500503569841385,
            0.16117560490965843,
            0.18084190413355827,
            0.18410512804985046,
            0.15727293118834496,
            0.19126246497035027,
            0.18705348297953606,
            0.19212966412305832,
            0.14663242548704147,
            0.12392685748636723,
            0.17472000047564507,
            0.17981183528900146,
            0.1811656355857849,
            0.17287443950772285,
            0.1753123588860035,
            0.17207173630595207,
            0.1742941252887249,
            0.1739841103553772,
            0.17606911808252335,
            0.1718035489320755,
            0.16452269069850445,
            0.14930445700883865,
            0.1222654189914465,
            0.09784576296806335,
            0.1892792321741581,
            0.1754748336970806,
            0.15894706919789314,
            0.17009229212999344,
            0.1658318117260933,
            0.17314501106739044,
            0.1505375038832426,
            0.17718180641531944,
            0.17022182047367096,
            0.14447898790240288,
            0.15234415978193283,
            0.16275329515337944,
            0.1407689955085516,
            0.1361774280667305,
            0.17341946065425873,
            0.1415555775165558,
            0.1321045495569706,
            0.13716399110853672,
            0.1854051575064659,
            0.14481923915445805,
            0.16317748092114925,
            0.15603806264698505,
            0.18054189532995224,
            0.16411127150058746,
            0.1822674609720707,
            0.1743238903582096,
            0.1687796376645565,
            0.13815426640212536,
            0.15553679317235947,
            0.15237370505928993,
            0.14565903320908546,
            0.09999671392142773,
            0.14296836219727993,
            0.14583063684403896,
            0.14573160745203495,
            0.15861468017101288,
            0.166774470359087,
            0.15024173818528652,
            0.1649826355278492,
            0.17000077292323112,
            0.12257238291203976,
            0.14473181124776602,
            0.15492031536996365,
            0.17179017141461372,
            0.11427460238337517,
            0.13096624054014683,
            0.16866543143987656,
            0.1825873665511608,
            0.16930286586284637,
            0.1520139891654253,
            0.13860501162707806,
            0.15266965702176094,
            0.15005886368453503,
            0.16605745255947113,
            0.15366683527827263,
            0.12931912764906883,
            0.17097986489534378,
            0.12376502715051174,
            0.137306435033679,
            0.18213612586259842,
            0.15548956766724586,
            0.14931461960077286,
            0.1718299239873886,
            0.1595224365592003,
            0.16603068634867668,
            0.1379518210887909,
            0.1491563692688942,
            0.137457225471735,
            0.1494706952944398,
            0.1399292191490531,
            0.17101651802659035,
            0.12861918658018112,
            0.17045893892645836,
            0.12298238649964333,
            0.11658473312854767,
            0.17406994849443436,
            0.10623533371835947,
            0.17324410751461983,
            0.12343092449009418,
            0.11578640341758728,
            0.1508641056716442,
            0.1496044099330902,
            0.10591804701834917,
            0.16357232257723808,
            0.16978418454527855,
            0.11737993825227022,
            0.12133414205163717,
            0.16582076251506805,
            0.14349136129021645,
            0.16020899452269077,
            0.15773652493953705,
            0.1300876708701253,
            0.13868228904902935,
            0.17313700169324875,
            0.17037634924054146,
            0.16134903952479362,
            0.14939088560640812,
            0.1669880896806717,
            0.08710131049156189,
            0.14345641061663628,
            0.12007242441177368,
            0.13070614263415337,
            0.10450933501124382,
            0.15582317858934402,
            0.1701113022863865,
            0.1114752059802413,
            0.1543241012841463,
            0.13628192618489265,
            0.13870821241289377,
            0.14224225375801325,
            0.09417547658085823,
            0.16859279200434685,
            0.1523929461836815,
            0.12364359851926565,
            0.13365895673632622,
            0.13796715065836906,
            0.1491832360625267,
            0.1821041703224182,
            0.13370137941092253,
            0.13826200552284718,
            0.16244196519255638,
            0.11271825060248375,
            0.13637997955083847,
            0.17091533169150352,
            0.11097533069550991,
            0.1661508046090603,
            0.0966359842568636,
            0.12940573133528233,
            0.10382445156574249,
            0.09890574123710394,
            0.08459335565567017,
            0.14988255314528942,
            0.11504160426557064,
            0.13107819482684135,
            0.12584569677710533,
            0.14130627177655697,
            0.1655941791832447,
            0.11978886555880308,
            0.15907201915979385,
            0.13919242657721043,
            0.09940440766513348,
            0.07607683539390564,
            0.1797328032553196,
            0.15758090279996395,
            0.12887171283364296,
            0.10881987493485212,
            0.14643869176506996,
            0.08599267341196537,
            0.05414835084229708,
            0.18800712376832962,
            0.12563031911849976,
            0.15873725712299347,
            0.11648889351636171,
            0.11453167349100113,
            0.16032571345567703,
            0.1350922603160143,
            0.13985585048794746,
            0.1346782986074686,
            0.16646438464522362,
            0.13423420675098896,
            0.10821191035211086,
            0.16635394096374512,
            0.16994201764464378,
            0.16392628848552704,
            0.11894012242555618,
            0.17973186448216438,
            0.1141545008867979,
            0.11358378361910582,
            0.10707610659301281,
            0.12301348708570004,
            0.14675619825720787,
            0.15537776425480843,
            0.15121971629559994,
            0.11115996539592743,
            0.13846693560481071,
            0.11075612157583237,
            0.13568117655813694,
            0.14564971439540386,
            0.110431800596416,
            0.13690190482884645,
            0.17015064135193825,
            0.14173201192170382,
            0.13307736068964005,
            0.07328601647168398,
            0.11708895862102509,
            0.1353753488510847,
            0.14083675667643547,
            0.07430609595030546,
            0.12892175186425447,
            0.14866654574871063,
            0.10146702826023102,
            0.10512713249772787,
            0.15708207339048386,
            0.13016566447913647,
            0.07592131197452545,
            0.14359022676944733,
            0.10590487718582153,
            0.13410569354891777,
            0.1195224579423666,
            0.14882207103073597,
            0.1816629283130169,
            0.044896514154970646,
            0.1364855719730258,
            0.1420224104076624,
            0.14275595918297768,
            0.13814090564846992,
            0.11453809030354023,
            0.1210726723074913,
            0.06524205300956964,
            0.10676325764507055,
            0.08184184227138758,
            0.10159860737621784,
            0.14059343095868826,
            0.16069934144616127,
            0.1403089016675949,
            0.16062896326184273,
            0.10675012692809105,
            0.13238625787198544,
            0.1275441888719797,
            0.138222711160779,
            0.11852883361279964,
            0.13579757325351238
          ],
          "eval": {
            "diffusion_16": {
              "iterations": [
                28,
                28,
                34,
                26,
                29,
                27,
                30,
                30,
                42,
                35,
                37,
                27,
                37,
                34,
                40,
                34,
                34,
                37,
                28,
                29
              ],
              "converged": [
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true
              ],
              "final_residuals": [
                8.483246683522445e-07,
                7.517259141261131e-07,
                9.478996450191197e-07,
                8.60148456631544e-07,
                7.989739608571648e-07,
                7.106015763022941e-07,
                8.84385130941831e-07,
                9.81348603686374e-07,
                8.862004844278354e-07,
                8.196236016451087e-07,
                9.109553609433487e-07,
                6.85554985957277e-07,
                9.985330310422586e-07,
                8.980637150918273e-07,
                9.168564057639967e-07,
                9.623130654034627e-07,
                9.017988570795468e-07,
                5.794432751853767e-07,
                9.112976821842733e-07,
                8.559594670424556e-07
              ],
              "solve_times": [
                0.3323369880001792,
                0.3325447310000982,
                0.3957919149997906,
                0.29889701599995533,
                0.3417453580000256,
                0.3230334780000703,
                0.35851489299989225,
                0.35736021099978643,
                0.4906966510000075,
                0.40561714099999335,
                0.4254544360001091,
                0.3132258020000336,
                0.4223259570001119,
                0.4083774009998251,
                0.4568434109999089,
                0.3993328520000432,
                0.39356097900008535,
                0.43744214499997724,
                0.3471692719999737,
                0.34603068699993855
              ],
              "avg_iterations": 32.3,
              "convergence_rate": 1.0
            },
            "diffusion_24": {
              "iterations": [
                48,
                50,
                47,
                49,
                45,
                46,
                49,
                48,
                57,
                48,
                47,
                49,
                46,
                51,
                45,
                47,
                51,
                49,
                42,
                46
              ],
              "converged": [
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true
              ],
              "final_residuals": [
                9.615698469591144e-07,
                7.191491070655438e-07,
                9.155520568721135e-07,
                9.85170013249827e-07,
                9.809888119931063e-07,
                9.286234872065863e-07,
                9.261501846142391e-07,
                9.59344733934339e-07,
                9.184623627725056e-07,
                8.523137232882705e-07,
                9.490423467665643e-07,
                8.939224570235706e-07,
                9.741248101531835e-07,
                8.768508931724663e-07,
                8.811600639367014e-07,
                9.050284968258662e-07,
                9.309280914381517e-07,
                8.304835122252086e-07,
                9.112685200799297e-07,
                9.131643257282958e-07
              ],
              "solve_times": [
                0.5491378009999153,
                0.5762407409999923,
                0.54692225399981,
                0.56725883099989,
                0.5198960699999589,
                0.5283200689998466,
                0.5890954179999426,
                0.551919794000014,
                0.6665906690000156,
                0.5573669299999437,
                0.5328954770000109,
                0.5606066380000811,
                0.5210347080001156,
                0.5899332259998573,
                0.5103715060001832,
                0.5355552370001533,
                0.5859507830000439,
                0.576143778000187,
                0.47540720099982536,
                0.5221882240000468
              ],
              "avg_iterations": 48.0,
              "convergence_rate": 1.0
            },
            "diffusion_32": {
              "iterations": [
                50,
                70,
                54,
                48,
                51,
                57,
                53,
                59,
                57,
                59,
                53,
                58,
                53,
                55,
                53,
                45,
                49,
                50,
                52,
                54
              ],
              "converged": [
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true
              ],
              "final_residuals": [
                8.863432719685691e-07,
                8.875053228410017e-07,
                8.651095545745587e-07,
                9.159445346859769e-07,
                7.394689867188383e-07,
                8.328015589103759e-07,
                8.763938358335991e-07,
                9.383705236404991e-07,
                8.566723310339307e-07,
                9.969804217494621e-07,
                9.852468204419298e-07,
                8.528014942699889e-07,
                9.484099749398207e-07,
                9.644972410070843e-07,
                9.551662729954818e-07,
                8.50493368781227e-07,
                9.80026503431743e-07,
                9.152734680346053e-07,
                9.534760948727324e-07,
                9.56247801614537e-07
              ],
              "solve_times": [
                0.6102799119998963,
                0.8410743669999192,
                0.645977787999982,
                0.5657385899999099,
                0.6120485930000541,
                0.693678625000075,
                0.6464258389999031,
                0.721997133999821,
                0.6943839400000797,
                0.7250437179998244,
                0.6362728799999786,
                0.7281941510000252,
                0.6337822610000785,
                0.6697714800000085,
                0.6663538810000773,
                0.5402188460000161,
                0.5831840269997883,
                0.5962151910000557,
                0.6427299480001238,
                0.658801535999828
              ],
              "avg_iterations": 54.0,
              "convergence_rate": 1.0
            },
            "diffusion_48": {
              "iterations": [
                80,
                66,
                79,
                73,
                76,
                78,
                87,
                80,
                77,
                72,
                78,
                75,
                74,
                68,
                87,
                66,
                71,
                64,
                77,
                57
              ],
              "converged": [
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true
              ],
              "final_residuals": [
                9.758011561867102e-07,
                9.856907165721144e-07,
                9.023131613597007e-07,
                9.568144243025378e-07,
                9.095167192721208e-07,
                9.80712884547305e-07,
                9.987672494055947e-07,
                9.86043801860579e-07,
                9.867707375985512e-07,
                9.93413871262077e-07,
                9.044006374973662e-07,
                9.941547475537433e-07,
                9.088479283757521e-07,
                9.376101910176142e-07,
                9.9203734674701e-07,
                9.781838639230936e-07,
                9.420572828355345e-07,
                9.867596182494254e-07,
                9.313201304328932e-07,
                9.950897153998219e-07
              ],
              "solve_times": [
                0.9803664390001359,
                0.7996080360001088,
                0.9498996310001075,
                0.8817841800000679,
                0.9157784599999559,
                0.9434029149999787,
                1.0854654789998222,
                0.9752324000000954,
                0.9318291619999854,
                0.8742780759998823,
                0.9375996810001652,
                0.9254729760000373,
                0.8968947610001123,
                0.8409009110000625,
                1.0824259649998567,
                0.8056565889999092,
                0.8643719409999449,
                0.8194164950000413,
                0.9350480650000463,
                0.7012086709999039
              ],
              "avg_iterations": 74.25,
              "convergence_rate": 1.0
            },
            "advection_16": {
              "iterations": [
                30,
                34,
                29,
                32,
                57,
                35,
                34,
                34,
                86,
                56,
                30,
                31,
                64,
                69,
                36,
                30,
                87,
                30,
                57,
                36
              ],
              "converged": [
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true
              ],
              "final_residuals": [
                9.126283716790633e-07,
                7.882834708408202e-07,
                8.766071314669921e-07,
                9.138103159571185e-07,
                9.89425917498951e-07,
                9.65455982061219e-07,
                9.902812383693864e-07,
                8.119305807124492e-07,
                9.447095237147468e-07,
                9.147247836382363e-07,
                7.491665300617168e-07,
                9.874779296446778e-07,
                9.956363094163363e-07,
                9.994599782894274e-07,
                8.75104649388603e-07,
                7.791103485326588e-07,
                9.949872402284572e-07,
                8.651179421276775e-07,
                9.10260182183551e-07,
                8.818971674173212e-07
              ],
              "solve_times": [
                0.36086358300008214,
                0.39656177099982415,
                0.34906483300005675,
                0.3787557850000667,
                0.660800891000008,
                0.4051158659999601,
                0.400503345000061,
                0.4375325000000885,
                1.0020889929999157,
                0.6522453439999936,
                0.38810820499998044,
                0.3669330920001812,
                0.7433533010000701,
                0.833336534999944,
                0.41153754199990544,
                0.3565650549999191,
                1.0253212449999864,
                0.3806531059999543,
                0.674836563000099,
                0.4123971739998069
              ],
              "avg_iterations": 44.85,
              "convergence_rate": 1.0
            },
            "advection_24": {
              "iterations": [
                52,
                40,
                47,
                45,
                53,
                42,
                42,
                45,
                61,
                47,
                49,
                91,
                43,
                49,
                87,
                52,
                47,
                43,
                46,
                46
              ],
              "converged": [
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true
              ],
              "final_residuals": [
                8.645075449092328e-07,
                9.761807026031043e-07,
                9.64727817831127e-07,
                9.99776806828335e-07,
                8.677109023523537e-07,
                8.918048369514911e-07,
                8.652570181417203e-07,
                9.973500037889106e-07,
                9.948890580125595e-07,
                9.180295200080446e-07,
                9.458622246433579e-07,
                9.942965648516099e-07,
                9.195762040903847e-07,
                9.380848223761132e-07,
                9.625585774219284e-07,
                8.008326744848893e-07,
                8.445944715777305e-07,
                9.918042698681271e-07,
                8.497385253235917e-07,
                9.996561709563478e-07
              ],
              "solve_times": [
                0.601156058000015,
                0.4594560770001408,
                0.5487918089997947,
                0.5154253760001666,
                0.6353834490000736,
                0.4856974460001311,
                0.48463808699989386,
                0.5128255199999785,
                0.7226375000000189,
                0.5353063730001395,
                0.5625065679998897,
                1.079908191999948,
                0.49106397100013055,
                0.5742361299999175,
                1.01742431699995,
                0.6121434229999068,
                0.5291365390000919,
                0.4984231490000184,
                0.5220000060000984,
                0.5262480530000175
              ],
              "avg_iterations": 51.35,
              "convergence_rate": 1.0
            },
            "advection_32": {
              "iterations": [
                55,
                51,
                52,
                63,
                55,
                50,
                71,
                66,
                52,
                66,
                55,
                60,
                52,
                71,
                54,
                59,
                51,
                60,
                56,
                58
              ],
              "converged": [
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true
              ],
              "final_residuals": [
                9.110377456798602e-07,
                9.515932586581982e-07,
                9.743941616454374e-07,
                9.986111612290926e-07,
                9.119092134130341e-07,
                9.351903351166694e-07,
                8.740902627809077e-07,
                9.996411917794426e-07,
                8.732048841041201e-07,
                9.864526377035219e-07,
                9.805353543711172e-07,
                7.981581307785673e-07,
                9.723107592380465e-07,
                9.37088981164702e-07,
                9.082102713865108e-07,
                9.927538661768175e-07,
                9.692364394075615e-07,
                9.532340214748725e-07,
                9.405045050939323e-07,
                7.60861333438444e-07
              ],
              "solve_times": [
                0.6956123859999934,
                0.6162879799999246,
                0.6252471590000823,
                0.7872104969999327,
                0.6632280070000434,
                0.5938929239998743,
                0.8444874449999134,
                0.8020997830001306,
                0.6273950580000474,
                0.795277520000127,
                0.6715596599999571,
                0.7705719089999548,
                0.6210129139999481,
                0.8502840789999482,
                0.6604441910001242,
                0.7378941919998852,
                0.6243940279998696,
                0.757676500000116,
                0.7197989880000932,
                0.7156660559999182
              ],
              "avg_iterations": 57.85,
              "convergence_rate": 1.0
            },
            "advection_48": {
              "iterations": [
                81,
                77,
                68,
                76,
                78,
                76,
                68,
                75,
                72,
                77,
                59,
                73,
                85,
                67,
                69,
                75,
                71,
                82,
                86,
                64
              ],
              "converged": [
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true
              ],
              "final_residuals": [
                9.62924497044818e-07,
                9.295016672052076e-07,
                9.285911715412309e-07,
                9.45350527371096e-07,
                9.68328533323362e-07,
                8.815385776887379e-07,
                9.99445960248979e-07,
                9.958949455393868e-07,
                9.52689399807985e-07,
                9.298075359618098e-07,
                9.062790523046489e-07,
                9.514865315525391e-07,
                9.67047390050587e-07,
                9.985869760972547e-07,
                9.754965621090973e-07,
                9.299731830024585e-07,
                8.932956378380557e-07,
                9.753101214307438e-07,
                9.881300359413167e-07,
                9.318155802013568e-07
              ],
              "solve_times": [
                0.9881073750000269,
                0.9233397200000582,
                0.8293201569999837,
                0.918216159999929,
                0.9424758190000375,
                0.9201469510001061,
                0.8328140090000034,
                0.9229133220001131,
                0.8711458829998264,
                0.9411462799998844,
                0.728399637999928,
                0.874824935000106,
                1.075782166999943,
                0.8105399769999622,
                0.8477027040000849,
                0.9418750859999818,
                0.869373276000033,
                1.0071586970000226,
                1.055336036999961,
                0.7908350149998569
              ],
              "avg_iterations": 73.95,
              "convergence_rate": 1.0
            },
            "graph_laplacian_16": {
              "iterations": [
                8,
                8,
                9,
                8,
                8,
                8,
                9,
                8,
                8,
                8,
                9,
                8,
                8,
                9,
                8,
                9,
                8,
                8,
                9,
                8
              ],
              "converged": [
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true
              ],
              "final_residuals": [
                3.889306201144255e-07,
                8.336561373639633e-07,
                8.552589122862654e-07,
                4.006279410285994e-07,
                1.7484495065548585e-07,
                4.5721995607208966e-07,
                5.719809545584573e-07,
                3.636814090056641e-07,
                3.800337780258898e-07,
                1.345077049822739e-07,
                4.907251634468524e-07,
                2.6932123267617576e-07,
                3.155179895278039e-07,
                7.641082728412605e-07,
                7.246852220345838e-07,
                1.7921644043073075e-07,
                1.7016909357314253e-07,
                9.874563514283823e-07,
                7.165231675066756e-07,
                3.38027509377386e-07
              ],
              "solve_times": [
                0.08228074299995569,
                0.08105162499987273,
                0.09166311600006338,
                0.08145933199989486,
                0.08124815699989085,
                0.08526529599998867,
                0.10918937099995674,
                0.105158160999963,
                0.10191291099999944,
                0.08130815599997732,
                0.09132702100009737,
                0.08124796699985382,
                0.08090514800005622,
                0.09113086599995768,
                0.08419473499998276,
                0.09397549200002686,
                0.084750381999811,
                0.08371916999999485,
                0.09312421699996776,
                0.0820456890000969
              ],
              "avg_iterations": 8.3,
              "convergence_rate": 1.0
            },
            "graph_laplacian_24": {
              "iterations": [
                9,
                9,
                9,
                10,
                10,
                9,
                9,
                10,
                8,
                10,
                10,
                10,
                10,
                9,
                9,
                10,
                11,
                10,
                10,
                9
              ],
              "converged": [
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true
              ],
              "final_residuals": [
                6.035777969066353e-07,
                3.7973456367016814e-07,
                6.469512282938471e-07,
                3.483302583640276e-07,
                8.551636841782658e-07,
                3.8857842419283627e-07,
                3.15458326595749e-07,
                6.508261472257782e-07,
                6.86958322731849e-07,
                7.422056269235557e-07,
                5.514062884949947e-07,
                6.783652074178242e-07,
                3.247500074463966e-07,
                2.4242010994472125e-07,
                3.046356952506132e-07,
                4.616448847834453e-07,
                2.0040208192212382e-07,
                3.540651270471064e-07,
                3.3536983098807826e-07,
                4.1473583871114997e-07
              ],
              "solve_times": [
                0.09281960799989974,
                0.09594613900003424,
                0.09585412999990695,
                0.10742583299997932,
                0.10277351400009138,
                0.10031120600001486,
                0.09674139300000206,
                0.10817694600018513,
                0.08531132200005231,
                0.10259592900001735,
                0.10445701700018617,
                0.1075937900000099,
                0.10635862199978874,
                0.09542236099991896,
                0.09149346399999558,
                0.10431965600014337,
                0.11957584599986149,
                0.10886096200010797,
                0.1091481290000047,
                0.0966785800001162
              ],
              "avg_iterations": 9.55,
              "convergence_rate": 1.0
            },
            "graph_laplacian_32": {
              "iterations": [
                10,
                9,
                11,
                10,
                9,
                9,
                11,
                11,
                11,
                10,
                11,
                11,
                11,
                11,
                11,
                10,
                10,
                12,
                12,
                11
              ],
              "converged": [
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true
              ],
              "final_residuals": [
                9.069102746039804e-07,
                9.877155518357728e-07,
                6.17604962389926e-07,
                6.324457281656601e-07,
                4.492214168975757e-07,
                8.614286411819862e-07,
                9.800799654569027e-07,
                4.0759347512178255e-07,
                4.4253658898321044e-07,
                5.104263709353298e-07,
                3.3014324907515517e-07,
                4.886667298956487e-07,
                6.509031371485557e-07,
                6.480752575631511e-07,
                6.963925172240651e-07,
                6.268805490683138e-07,
                3.524697036201174e-07,
                2.1966990787689942e-07,
                2.5479493091501085e-07,
                6.317302358241878e-07
              ],
              "solve_times": [
                0.1076697780001723,
                0.09647066499996981,
                0.11821624399999564,
                0.1072109450001335,
                0.0965042689999791,
                0.09637093700007426,
                0.11854876600000352,
                0.11882022999998298,
                0.1204322339999635,
                0.10781127200016272,
                0.11840641399999186,
                0.1188261039999361,
                0.11882518499987782,
                0.11897676300009152,
                0.11818183200011845,
                0.10765276200004337,
                0.10734091100016485,
                0.13016080900001725,
                0.13269729399985408,
                0.11927766300004805
              ],
              "avg_iterations": 10.55,
              "convergence_rate": 1.0
            },
            "graph_laplacian_48": {
              "iterations": [
                11,
                12,
                11,
                12,
                12,
                12,
                12,
                11,
                12,
                12,
                11,
                11,
                12,
                12,
                12,
                11,
                12,
                12,
                11,
                12
              ],
              "converged": [
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true
              ],
              "final_residuals": [
                5.833346437513921e-07,
                8.564010026728536e-07,
                7.837465258535106e-07,
                7.224817695390618e-07,
                1.893640874526004e-07,
                4.7606746028669953e-07,
                4.2249918898628156e-07,
                9.042074399748645e-07,
                4.5020685533280685e-07,
                4.335743671571701e-07,
                4.169859080913163e-07,
                9.425125412736771e-07,
                6.26095775179692e-07,
                3.9808000666290466e-07,
                7.739713786320667e-07,
                8.540677206782903e-07,
                4.723241216414065e-07,
                9.550694712157987e-07,
                8.952351810227006e-07,
                5.180174894379411e-07
              ],
              "solve_times": [
                0.12029142400001547,
                0.1308261770000172,
                0.11967473000004247,
                0.13141274600002362,
                0.13755222399981903,
                0.13569605100019544,
                0.13049169699979757,
                0.11955803599994397,
                0.13087381500008632,
                0.14641652699992846,
                0.12517723699988892,
                0.12154352699985793,
                0.13376601100003427,
                0.13607377300013468,
                0.1314339169998675,
                0.11999615499985339,
                0.13111958400008916,
                0.13108540899997934,
                0.12277031899998292,
                0.13573861800000486
              ],
              "avg_iterations": 11.65,
              "convergence_rate": 1.0
            }
          }
        },
        {
          "name": "MPNN",
          "param_count": 15426,
          "train_time": 50.5344267989999,
          "train_history": [
            0.8054137825965881,
            0.7955625504255295,
            0.785322368144989,
            0.7867801785469055,
            0.7723849713802338,
            0.7667205482721329,
            0.7560642659664154,
            0.7800659388303757,
            0.7422308623790741,
            0.7168493270874023,
            0.7430289089679718,
            0.7232561558485031,
            0.7626873999834061,
            0.7364910244941711,
            0.6893958300352097,
            0.7343530505895615,
            0.6802048683166504,
            0.6661570072174072,
            0.7093410938978195,
            0.6550029218196869,
            0.5979824513196945,
            0.5824496001005173,
            0.7398357093334198,
            0.7358651459217072,
            0.6006783843040466,
            0.6665155291557312,
            0.6584954410791397,
            0.6517144814133644,
            0.6543219685554504,
            0.5639108940958977,
            0.7167152613401413,
            0.718261294066906,
            0.6274484172463417,
            0.5626979768276215,
            0.6238502860069275,
            0.5344804376363754,
            0.6193084195256233,
            0.6072980388998985,
            0.4084506556391716,
            0.5161412805318832,
            0.41515010595321655,
            0.7061532214283943,
            0.590425580739975,
            0.5884664207696915,
            0.5923745930194855,
            0.5756818279623985,
            0.5834546610713005,
            0.5754094496369362,
            0.6773462742567062,
            0.6893420144915581,
            0.5626632049679756,
            0.5530019849538803,
            0.30988774448633194,
            0.3116838186979294,
            0.30293168872594833,
            0.6750046238303185,
            0.5327424108982086,
            0.4106495603919029,
            0.5509685128927231,
            0.4284961000084877,
            0.3951926752924919,
            0.5374170243740082,
            0.39746639877557755,
            0.5339156687259674,
            0.25260043144226074,
            0.6581062227487564,
            0.650365199893713,
            0.27538153529167175,
            0.540381520986557,
            0.39778751879930496,
            0.2617564722895622,
            0.3793189711868763,
            0.23042979836463928,
            0.526323925703764,
            0.24664439633488655,
            0.22780536115169525,
            0.6571015678346157,
            0.6617849767208099,
            0.5318874195218086,
            0.5245625004172325,
            0.50625354424119,
            0.6497453823685646,
            0.38818955048918724,
            0.2406880408525467,
            0.24969661235809326,
            0.3804774358868599,
            0.2421732284128666,
            0.3699490800499916,
            0.508682943880558,
            0.518495112657547,
            0.5280406028032303,
            0.5158961825072765,
            0.5120938010513783,
            0.3822157457470894,
            0.2235259935259819,
            0.22954995185136795,
            0.5117085874080658,
            0.5055072419345379,
            0.36116620153188705,
            0.35911688581109047,
            0.3803236149251461,
            0.3589193634688854,
            0.19506226480007172,
            0.20294293761253357,
            0.3555389270186424,
            0.503840196877718,
            0.35700255259871483,
            0.35631611570715904,
            0.3528051786124706,
            0.3480909392237663,
            0.49934349581599236,
            0.22146740183234215,
            0.19306693598628044,
            0.6574433371424675,
            0.3493084944784641,
            0.49221792817115784,
            0.3533734604716301,
            0.33430246263742447,
            0.34640272334218025,
            0.4946059249341488,
            0.3504215180873871,
            0.34375353530049324,
            0.33393220603466034,
            0.348610520362854,
            0.3410276025533676,
            0.35477907955646515,
            0.49393288418650627,
            0.4881216697394848,
            0.507823720574379,
            0.35429713129997253,
            0.6509823948144913,
            0.4907887913286686,
            0.49424415826797485,
            0.484457828104496,
            0.33744099736213684,
            0.49254244938492775,
            0.5010000392794609,
            0.17941078916192055,
            0.3478536903858185,
            0.4923623278737068,
            0.1997307389974594,
            0.3475027345120907,
            0.33913643658161163,
            0.48606446385383606,
            0.6365523375570774,
            0.1954089105129242,
            0.4958084374666214,
            0.6385594680905342,
            0.4841897338628769,
            0.34546568989753723,
            0.5024078451097012,
            0.3434801660478115,
            0.19225331023335457,
            0.49163755774497986,
            0.18946287035942078,
            0.1760622300207615,
            0.48628685623407364,
            0.3297451213002205,
            0.4978730082511902,
            0.3430277071893215,
            0.33718057721853256,
            0.33834291622042656,
            0.49554264917969704,
            0.3446783423423767,
            0.18218721821904182,
            0.4912654645740986,
            0.4905436560511589,
            0.4928382858633995,
            0.33673955127596855,
            0.3258062042295933,
            0.4735531620681286,
            0.3327982574701309,
            0.17460064217448235,
            0.17664387449622154,
            0.3376591131091118,
            0.3485267423093319,
            0.49692991003394127,
            0.17029723525047302,
            0.17168764024972916,
            0.49213965982198715,
            0.34008996933698654,
            0.6360301487147808,
            0.17930205911397934,
            0.3323279358446598,
            0.32626645639538765,
            0.4809257462620735,
            0.16685358434915543,
            0.18079420924186707,
            0.4834928475320339,
            0.31966816633939743,
            0.3352561704814434,
            0.48085860162973404,
            0.4837293215095997,
            0.4849037192761898,
            0.3300657719373703,
            0.3198101073503494,
            0.31343426555395126,
            0.331771794706583,
            0.1875319853425026,
            0.4779537618160248,
            0.48106715083122253,
            0.4833005629479885,
            0.46963243931531906,
            0.347199235111475,
            0.47396136075258255,
            0.4933452755212784,
            0.3326013386249542,
            0.7734958529472351,
            0.32820429280400276,
            0.31686097756028175,
            0.6297223418951035,
            0.46947358548641205,
            0.3359438627958298,
            0.6262615509331226,
            0.32400280609726906,
            0.4802730455994606,
            0.6289074383676052,
            0.6325451135635376,
            0.3250378891825676,
            0.3257124237716198,
            0.3225761540234089,
            0.17238473892211914,
            0.4640391059219837,
            0.46428657695651054,
            0.3129406273365021,
            0.6278022602200508,
            0.46479275822639465,
            0.319722231477499,
            0.6137974783778191,
            0.19768298044800758,
            0.3254268616437912,
            0.35558411478996277,
            0.328487791121006,
            0.17169716209173203,
            0.4543847255408764,
            0.4555107168853283,
            0.476869635283947,
            0.47589073702692986,
            0.18710867688059807,
            0.16789629310369492,
            0.3122641146183014,
            0.4602786637842655,
            0.45608869567513466,
            0.6224879771471024,
            0.16865691542625427,
            0.3065861873328686,
            0.16581691056489944,
            0.1840469054877758,
            0.46586402133107185,
            0.4634358696639538,
            0.5896253138780594,
            0.4611559882760048,
            0.3210253417491913,
            0.3036065697669983,
            0.3179304786026478,
            0.32208435982465744,
            0.44639306515455246,
            0.32665958628058434,
            0.1714005172252655,
            0.43981966003775597,
            0.44791679084300995,
            0.31444263830780983,
            0.30540360510349274,
            0.3162613622844219,
            0.7126738280057907,
            0.3260794095695019,
            0.4525168538093567,
            0.5808181650936604,
            0.5675703138113022,
            0.4461270198225975,
            0.4396556057035923,
            0.30779070034623146,
            0.4357067011296749,
            0.16034598648548126,
            0.45506517589092255,
            0.19159246236085892,
            0.29513581469655037,
            0.4390061944723129,
            0.4331285431981087,
            0.31479810178279877,
            0.4344359338283539,
            0.1914972923696041,
            0.18046997115015984,
            0.29746608063578606,
            0.30744918808341026,
            0.5823118537664413,
            0.30041569098830223,
            0.2899032197892666,
            0.18478549644351006,
            0.28231577947735786,
            0.2946471534669399,
            0.41346464306116104,
            0.42000312358140945,
            0.4216512702405453,
            0.28427981212735176,
            0.16335269808769226,
            0.400422640144825,
            0.3036859557032585,
            0.40857645124197006,
            0.273305706679821,
            0.41050270944833755,
            0.2697325013577938,
            0.17885788902640343,
            0.25836894288659096,
            0.30460767820477486,
            0.38664504140615463,
            0.17942839860916138,
            0.18686696141958237,
            0.42910612747073174,
            0.29231782257556915,
            0.28531692922115326,
            0.28034305199980736,
            0.38235533237457275,
            0.5095144249498844,
            0.16930587962269783,
            0.46731092035770416,
            0.2705529108643532,
            0.2517800070345402,
            0.18148468062281609,
            0.2562071867287159,
            0.2996724955737591,
            0.387540515512228,
            0.26160159334540367,
            0.2689349614083767,
            0.3285004645586014,
            0.16362454369664192,
            0.24191133677959442,
            0.24786051362752914,
            0.2783297710120678,
            0.2528178319334984,
            0.25166432559490204,
            0.40579410642385483,
            0.33864329755306244,
            0.4939244017004967,
            0.3473377637565136,
            0.31852399185299873,
            0.2510823793709278,
            0.24646954983472824,
            0.173153817653656,
            0.2471764273941517,
            0.32576529309153557,
            0.24547990038990974,
            0.17233598977327347,
            0.24882479384541512,
            0.32390622794628143,
            0.17601578682661057,
            0.17630202323198318,
            0.3189631961286068,
            0.43193284422159195,
            0.25295137241482735,
            0.3249429129064083,
            0.17498793452978134,
            0.33371104300022125,
            0.2942168191075325,
            0.2675677575170994,
            0.25821055471897125,
            0.3160635307431221,
            0.33431364223361015,
            0.2380467839539051,
            0.32226602733135223,
            0.2458777092397213,
            0.15845532342791557,
            0.23944493383169174,
            0.3003191724419594,
            0.16133183985948563,
            0.2584221363067627,
            0.3054301179945469,
            0.15288160368800163,
            0.29481423273682594,
            0.2951510660350323,
            0.15671765431761742,
            0.24798722565174103,
            0.16118381544947624,
            0.2586267404258251,
            0.15756290405988693,
            0.2369973212480545,
            0.14562400430440903,
            0.31149591878056526,
            0.27006035298109055,
            0.3264368213713169,
            0.2232554815709591,
            0.2464107982814312,
            0.1533767580986023,
            0.3542233258485794,
            0.26530952751636505,
            0.2211192324757576,
            0.16240385919809341,
            0.31971971690654755,
            0.1786639578640461,
            0.21594129875302315,
            0.22869328036904335,
            0.1605001911520958,
            0.23414241522550583,
            0.3530474454164505,
            0.2777116112411022,
            0.3017491512000561,
            0.23508624732494354,
            0.15802686661481857,
            0.35675134882330894,
            0.1670774184167385,
            0.22666272521018982,
            0.16632715612649918,
            0.297821544110775,
            0.1744854748249054,
            0.21223922446370125,
            0.3244066350162029,
            0.21894799545407295,
            0.2566843703389168,
            0.26475008204579353,
            0.2199532799422741,
            0.21306123957037926,
            0.16688869521021843,
            0.2118600234389305,
            0.257167499512434,
            0.23594648018479347,
            0.205526452511549,
            0.21955157816410065,
            0.2883290909230709,
            0.22204511612653732,
            0.2673991173505783,
            0.1641460917890072,
            0.26658250018954277,
            0.1563270203769207,
            0.1686808317899704,
            0.20980623364448547,
            0.2126939743757248,
            0.2071547619998455,
            0.1690332405269146,
            0.22065477073192596,
            0.20602740719914436,
            0.24418918415904045,
            0.27942072227597237,
            0.2701456658542156,
            0.26260993629693985,
            0.31403035670518875,
            0.2576257362961769,
            0.21256909519433975,
            0.30131494253873825,
            0.30688144266605377,
            0.16895446181297302,
            0.193023893982172,
            0.2709018550813198,
            0.2725027985870838,
            0.23790686205029488,
            0.2413843870162964,
            0.15056614577770233,
            0.18887512013316154,
            0.2103339061141014,
            0.23164792358875275,
            0.3004671037197113,
            0.1541626751422882,
            0.15417029336094856,
            0.33370542898774147,
            0.3371277116239071,
            0.1978781744837761,
            0.27212122455239296,
            0.31316981464624405,
            0.2379910871386528,
            0.20185276493430138,
            0.21697435155510902,
            0.30998171120882034,
            0.28295428305864334,
            0.2448250949382782,
            0.226026501506567,
            0.15981905162334442,
            0.14823707193136215,
            0.18516185507178307,
            0.251619178801775,
            0.20621737837791443,
            0.28078216314315796,
            0.2664521224796772,
            0.19404945522546768,
            0.19812922179698944,
            0.21651681512594223,
            0.26584120094776154,
            0.1666930988430977,
            0.2061811313033104,
            0.26324961334466934,
            0.2645680047571659,
            0.1966661810874939,
            0.23404168710112572,
            0.18584447726607323,
            0.14617550745606422,
            0.2052190788090229,
            0.2842802666127682,
            0.28323500975966454,
            0.20756788551807404,
            0.23213087394833565,
            0.224412951618433,
            0.1514841727912426,
            0.18801148980855942,
            0.201511200517416,
            0.2832515835762024,
            0.1707363836467266,
            0.25108010694384575,
            0.23419104143977165,
            0.20140405371785164,
            0.19578281417489052,
            0.16466087102890015,
            0.25304947793483734
          ],
          "eval": {
            "diffusion_16": {
              "iterations": [
                69,
                72,
                65,
                76,
                57,
                74,
                61,
                67,
                73,
                78,
                83,
                55,
                70,
                70,
                77,
                83,
                69,
                61,
                80,
                60
              ],
              "converged": [
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true
              ],
              "final_residuals": [
                8.999422650831773e-07,
                8.657638847866589e-07,
                9.731910368141636e-07,
                9.53150798241619e-07,
                9.294821067332559e-07,
                9.261450421540078e-07,
                9.491649106071896e-07,
                7.893488954677287e-07,
                8.276220896496366e-07,
                9.84909535952111e-07,
                9.047610438130766e-07,
                9.685235430876892e-07,
                8.862593176152881e-07,
                9.71915280087563e-07,
                9.924009133876417e-07,
                9.136651695901282e-07,
                9.020530062462018e-07,
                9.641530293035251e-07,
                9.061143522882869e-07,
                9.09942057948534e-07
              ],
              "solve_times": [
                0.6837790749998476,
                0.705347219000032,
                0.6569338819999757,
                0.7427925670001514,
                0.5611233889999312,
                0.7196197769999344,
                0.6128930500001388,
                0.650197573000014,
                0.7165002360000017,
                0.7612759820001429,
                0.819368594000025,
                0.5345944420000706,
                0.6885221299999102,
                0.68552323300014,
                0.7386780419999468,
                0.8252719609999986,
                0.6702205660001255,
                0.6157507469999928,
                0.7925708180000584,
                0.6176075230000606
              ],
              "avg_iterations": 70.0,
              "convergence_rate": 1.0
            },
            "diffusion_24": {
              "iterations": [
                92,
                89,
                94,
                96,
                101,
                98,
                95,
                90,
                131,
                101,
                105,
                111,
                104,
                97,
                102,
                106,
                92,
                87,
                88,
                99
              ],
              "converged": [
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true
              ],
              "final_residuals": [
                9.969326594399929e-07,
                9.721439203469568e-07,
                9.604703068508751e-07,
                9.50171167911618e-07,
                9.053519623495902e-07,
                9.748795262103306e-07,
                9.688607549785546e-07,
                9.143722365596342e-07,
                9.739357320234869e-07,
                9.765495451632863e-07,
                9.788056012555976e-07,
                9.142379757718527e-07,
                9.734837477874627e-07,
                9.95350718054183e-07,
                9.434015705115943e-07,
                9.904372893407753e-07,
                9.751142674639335e-07,
                9.845810971492337e-07,
                8.49990688018164e-07,
                8.719223874670922e-07
              ],
              "solve_times": [
                0.9122202949999973,
                0.9161894540000048,
                0.9410027459998673,
                0.9716408250001223,
                0.9882171499998549,
                0.9595150709999416,
                0.9476586789999146,
                0.8928064710000854,
                1.298855354999887,
                0.98562886600007,
                1.0413627840000572,
                1.0907949089998965,
                1.0293347599999834,
                0.964197982000087,
                1.0231277150001006,
                1.042654728000116,
                0.9285619699999188,
                0.8603507119998994,
                0.8847211480001533,
                0.9605545869999332
              ],
              "avg_iterations": 98.9,
              "convergence_rate": 1.0
            },
            "diffusion_32": {
              "iterations": [
                131,
                143,
                116,
                97,
                108,
                113,
                114,
                138,
                113,
                119,
                120,
                139,
                104,
                116,
                121,
                186,
                116,
                104,
                98,
                139
              ],
              "converged": [
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true
              ],
              "final_residuals": [
                9.888679084867534e-07,
                9.645271463297798e-07,
                9.792718127486879e-07,
                9.845090201145855e-07,
                9.405367036192661e-07,
                9.735365523652231e-07,
                9.941312100291257e-07,
                9.858950958289025e-07,
                9.610088258492593e-07,
                9.719163344120886e-07,
                9.614918396256157e-07,
                9.773921905667586e-07,
                8.885306513285376e-07,
                9.273108139407423e-07,
                9.805696247735284e-07,
                9.942924027580188e-07,
                9.66323750312509e-07,
                9.333616048199936e-07,
                9.90481489577961e-07,
                9.989477655687977e-07
              ],
              "solve_times": [
                1.3151216549999845,
                1.4151850240000385,
                1.1515950400000747,
                0.9524407110000084,
                1.1110205950001273,
                1.1265626929998689,
                1.13558054300006,
                1.37197221800011,
                1.1189818039999864,
                1.2231398710000576,
                1.2336743900000329,
                1.4073985909999465,
                1.0414262949998374,
                1.175296231999937,
                1.2384585980000793,
                1.8512253819999387,
                1.1562211339999067,
                1.0407773800000086,
                0.9723950510001487,
                1.3894136419999086
              ],
              "avg_iterations": 121.75,
              "convergence_rate": 1.0
            },
            "diffusion_48": {
              "iterations": [
                157,
                142,
                164,
                165,
                158,
                290,
                208,
                167,
                121,
                131,
                193,
                163,
                169,
                153,
                172,
                137,
                145,
                149,
                169,
                120
              ],
              "converged": [
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true
              ],
              "final_residuals": [
                9.853678243539195e-07,
                9.976759388871977e-07,
                9.693016471544108e-07,
                9.658931185454157e-07,
                9.69317402346189e-07,
                9.890615210917011e-07,
                9.734201504112806e-07,
                9.553802595605813e-07,
                9.198622197945601e-07,
                9.954516447676257e-07,
                9.997656787223638e-07,
                9.758809143910963e-07,
                9.895822072657487e-07,
                9.889541679888793e-07,
                9.6083027062324e-07,
                9.697915817041625e-07,
                9.500458591443656e-07,
                9.759968066332585e-07,
                9.423532156231495e-07,
                9.943567109993676e-07
              ],
              "solve_times": [
                1.6121501650000027,
                1.4284102639999219,
                1.629891250000128,
                1.6529511189999084,
                1.5622902269999486,
                2.968037294999931,
                2.138699706999887,
                1.6608612319998883,
                1.2550873850000244,
                1.305414737000092,
                1.9546260170000096,
                1.6328210579999904,
                1.6828717399998823,
                1.5679676719998952,
                1.758064493999882,
                1.3456519249998564,
                1.457900365000114,
                1.5294603590000406,
                1.6932481900000766,
                1.216281773999981
              ],
              "avg_iterations": 163.65,
              "convergence_rate": 1.0
            },
            "advection_16": {
              "iterations": [
                78,
                81,
                70,
                300,
                300,
                300,
                300,
                300,
                300,
                300,
                300,
                82,
                300,
                300,
                300,
                300,
                300,
                300,
                300,
                300
              ],
              "converged": [
                true,
                true,
                true,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                true,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
              ],
              "final_residuals": [
                9.897284904045089e-07,
                9.980600107952898e-07,
                9.732714213866204e-07,
                1.5120506606210416e-06,
                1.4321381908041721e-05,
                5.780686545780582e-06,
                7.632119448833033e-06,
                6.848451664987644e-06,
                1.8752477836618353e-05,
                1.1514388720024134e-05,
                3.1347512032400963e-06,
                9.984100535616362e-07,
                1.7200060770308444e-05,
                1.6804639771083225e-05,
                3.7817378884938972e-06,
                2.838671408224079e-06,
                1.851957399974034e-05,
                3.710030823107577e-06,
                2.1939072637326026e-05,
                7.780938397150123e-06
              ],
              "solve_times": [
                0.7960410319999482,
                0.7893184280001151,
                0.6826908250000088,
                3.021231921000208,
                3.043764239999973,
                3.0203423349998957,
                3.0463645769998493,
                3.011885700999983,
                3.052744676999964,
                3.0112314909999895,
                2.99810978000005,
                0.7895953299998837,
                3.0061914520001665,
                3.0378591649998725,
                3.0240320080001766,
                3.0144575030001306,
                3.0528721749999477,
                3.011554751999938,
                3.000856089000081,
                2.9902109160000236
              ],
              "avg_iterations": 255.55,
              "convergence_rate": 0.2
            },
            "advection_24": {
              "iterations": [
                300,
                300,
                300,
                300,
                143,
                300,
                132,
                300,
                300,
                300,
                300,
                300,
                102,
                300,
                300,
                300,
                300,
                90,
                300,
                300
              ],
              "converged": [
                false,
                false,
                false,
                false,
                true,
                false,
                true,
                false,
                false,
                false,
                false,
                false,
                true,
                false,
                false,
                false,
                false,
                true,
                false,
                false
              ],
              "final_residuals": [
                2.2283300587140347e-06,
                2.7288732716390215e-06,
                1.4920459158901961e-06,
                9.70801265712691e-06,
                9.737947369178278e-07,
                7.66856235813427e-06,
                9.940344314595742e-07,
                8.120334233108579e-06,
                1.1962794750457839e-05,
                3.0241189144169555e-06,
                7.678090780683074e-06,
                1.4521603229895418e-05,
                9.86725113316842e-07,
                7.318560163753004e-06,
                1.2961368552256073e-05,
                1.4331361854659413e-06,
                1.529357029637334e-06,
                9.047813150983996e-07,
                1.6508805521193185e-06,
                9.73557511224411e-06
              ],
              "solve_times": [
                3.0199248869998883,
                2.9988200939999388,
                2.999150208999936,
                3.033579029000066,
                1.4169824569999037,
                3.003888948999929,
                1.293885562000014,
                3.094051636000131,
                3.025936600999785,
                3.021467378999887,
                3.0217261080001663,
                3.0297184070000185,
                1.0108157740000934,
                3.067604593000169,
                3.0505325699998593,
                3.0470138719999795,
                3.0410423650000666,
                0.9086894719998782,
                2.9989509770000495,
                3.01193843499982
              ],
              "avg_iterations": 263.35,
              "convergence_rate": 0.2
            },
            "advection_32": {
              "iterations": [
                300,
                102,
                300,
                300,
                134,
                122,
                300,
                300,
                121,
                300,
                112,
                300,
                300,
                300,
                300,
                118,
                145,
                300,
                300,
                300
              ],
              "converged": [
                false,
                true,
                false,
                false,
                true,
                true,
                false,
                false,
                true,
                false,
                true,
                false,
                false,
                false,
                false,
                true,
                true,
                false,
                false,
                false
              ],
              "final_residuals": [
                2.180182727506138e-06,
                9.527203548152225e-07,
                5.109000076148732e-06,
                6.377278283816432e-06,
                9.86581671390148e-07,
                9.92861569845424e-07,
                1.666829021293942e-06,
                6.003189340240578e-06,
                9.740467860531547e-07,
                6.521258787279751e-06,
                9.819120517146807e-07,
                5.4330063116411625e-06,
                1.769846102599798e-06,
                3.1405227471119704e-06,
                1.7933958546439372e-06,
                9.767710499573738e-07,
                9.617602604633263e-07,
                1.6816409325992597e-06,
                6.172054336390167e-06,
                4.970325558206445e-06
              ],
              "solve_times": [
                3.0127581299998383,
                1.026803899000015,
                3.0184040110000296,
                3.043226180999909,
                1.326001136000059,
                1.240446964999819,
                3.0714896649999446,
                3.0805875849998756,
                1.2807747159999963,
                3.036389698999983,
                1.1448248309998235,
                3.0275470400001723,
                3.0245563209998636,
                3.049937450000016,
                3.0265093000000434,
                1.184664008000027,
                1.4587542770000255,
                3.016120018000038,
                3.0845014380001885,
                3.015824957000177
              ],
              "avg_iterations": 237.7,
              "convergence_rate": 0.35
            },
            "advection_48": {
              "iterations": [
                300,
                300,
                300,
                300,
                229,
                300,
                140,
                300,
                139,
                300,
                300,
                137,
                295,
                180,
                300,
                300,
                300,
                300,
                286,
                173
              ],
              "converged": [
                false,
                false,
                false,
                false,
                true,
                false,
                true,
                false,
                true,
                false,
                false,
                true,
                true,
                true,
                false,
                false,
                false,
                false,
                true,
                true
              ],
              "final_residuals": [
                1.5054529553935736e-06,
                1.2311208103041914e-06,
                2.1436259996993406e-06,
                2.031183569588826e-06,
                9.98835832598692e-07,
                1.0555268168925889e-06,
                9.976823814467626e-07,
                3.0594839263568105e-06,
                9.731391454846215e-07,
                1.2629043280914527e-06,
                2.8574090596082877e-06,
                9.80548622632089e-07,
                9.929048042697613e-07,
                9.573132458038025e-07,
                2.508142000635862e-06,
                3.015160244359174e-06,
                1.0703080984487687e-06,
                1.9037711541949474e-06,
                9.989651442841925e-07,
                9.956388396294054e-07
              ],
              "solve_times": [
                3.036317419999932,
                3.0297372380000525,
                3.012694366000005,
                3.0519207229999665,
                2.297331424000049,
                3.0150133300001016,
                1.3958546229998774,
                3.042042763000154,
                1.3796654590000799,
                3.045426830999986,
                3.0027781549999872,
                1.3506032950001554,
                2.9984030379998785,
                1.8138913350001076,
                3.088558011000032,
                3.0595952999999554,
                3.0441005540001242,
                3.005558550999922,
                2.886597307999864,
                1.725074602999939
              ],
              "avg_iterations": 258.95,
              "convergence_rate": 0.4
            },
            "graph_laplacian_16": {
              "iterations": [
                53,
                55,
                84,
                58,
                45,
                209,
                56,
                43,
                80,
                61,
                57,
                300,
                60,
                300,
                208,
                72,
                111,
                66,
                89,
                89
              ],
              "converged": [
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                false,
                true,
                false,
                true,
                true,
                true,
                true,
                true,
                true
              ],
              "final_residuals": [
                9.450032180376881e-07,
                8.869883738381857e-07,
                8.821324704259466e-07,
                7.618591333770628e-07,
                8.161422030775822e-07,
                7.759373451161526e-07,
                8.46721116389891e-07,
                7.500332450229884e-07,
                7.991602122190549e-07,
                9.999205726672032e-07,
                7.58603752439221e-07,
                0.001968322924258971,
                8.783378587585874e-07,
                0.010818837521989923,
                7.778326247128186e-07,
                7.941717495795458e-07,
                9.465256191433261e-07,
                8.501940034739581e-07,
                9.126299645223366e-07,
                6.940037055705516e-07
              ],
              "solve_times": [
                0.517924788000073,
                0.5547450730000492,
                0.8322023939999781,
                0.5740751289999935,
                0.4499103149998973,
                2.0799380130001737,
                0.5466823589999876,
                0.4063637589999871,
                0.772491700999808,
                0.610255036999888,
                0.5586619609998706,
                3.0515283929998986,
                0.608172457999899,
                3.011942179000016,
                2.073009935000073,
                0.69679690199996,
                1.0880704720000267,
                0.7099389930001507,
                0.8785151100000803,
                0.8949856900001123
              ],
              "avg_iterations": 104.8,
              "convergence_rate": 0.9
            },
            "graph_laplacian_24": {
              "iterations": [
                300,
                300,
                300,
                300,
                300,
                300,
                300,
                300,
                300,
                300,
                300,
                300,
                300,
                300,
                90,
                300,
                300,
                300,
                300,
                300
              ],
              "converged": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                true,
                false,
                false,
                false,
                false,
                false
              ],
              "final_residuals": [
                0.0004374971890834039,
                0.6040789671961527,
                0.4065649067398822,
                0.47358994381494074,
                0.029341684586313928,
                0.6800091942746024,
                0.7628995371431608,
                0.07520939754382153,
                0.5709214439810117,
                0.2869961964985454,
                0.08933554646978734,
                0.6207318417522821,
                0.5597844996584104,
                0.2748059645912668,
                9.141072322616942e-07,
                0.009906812828553048,
                0.5374374269150103,
                0.8162291715300926,
                0.7567941899649336,
                0.5062188931976397
              ],
              "solve_times": [
                3.019601762000093,
                3.0182264480001777,
                3.030852897999921,
                3.0101202379998995,
                3.0483182749999287,
                3.0322207110000363,
                3.014694752999958,
                3.077664266999818,
                3.041049897999983,
                3.0083362170000782,
                3.0761014499998964,
                3.0338932260001457,
                3.029153684999983,
                3.017119273999924,
                0.9237154630000077,
                3.0457818359998328,
                3.02675932000011,
                3.0299853520000397,
                3.0900271760001488,
                3.023207156999888
              ],
              "avg_iterations": 289.5,
              "convergence_rate": 0.05
            },
            "graph_laplacian_32": {
              "iterations": [
                300,
                300,
                300,
                300,
                300,
                300,
                300,
                300,
                300,
                300,
                300,
                300,
                300,
                300,
                300,
                300,
                300,
                300,
                300,
                300
              ],
              "converged": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
              ],
              "final_residuals": [
                0.6598256005171362,
                0.9049028850856429,
                0.2392026137242978,
                0.5751282748176241,
                0.775183688296279,
                0.8528157228974581,
                0.48395690305852984,
                0.7075569035649535,
                0.28297585620165405,
                0.38386931651024075,
                0.7345677143371226,
                0.23352196635393244,
                0.8416663298594684,
                0.19302366634854837,
                0.41807214849017754,
                0.8147827936612108,
                0.6806281162890264,
                0.3703619272581114,
                0.0008101797521845597,
                0.015829047364601844
              ],
              "solve_times": [
                3.0505209580001065,
                3.020142527999951,
                3.0859798229998887,
                3.0294978990000345,
                3.0540288100000907,
                3.059748139000021,
                3.0190770949998296,
                3.029745240000011,
                3.040810689999944,
                3.0661673730000985,
                3.0179426659999535,
                3.02583894899999,
                3.0342683540000053,
                3.071576479999976,
                3.014756069999976,
                3.082687348000036,
                3.053864757999918,
                3.088872285000207,
                3.0168199730001106,
                3.069082098999843
              ],
              "avg_iterations": 300.0,
              "convergence_rate": 0.0
            },
            "graph_laplacian_48": {
              "iterations": [
                300,
                300,
                300,
                300,
                300,
                300,
                300,
                300,
                300,
                300,
                300,
                300,
                300,
                300,
                300,
                300,
                300,
                300,
                300,
                300
              ],
              "converged": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
              ],
              "final_residuals": [
                0.9248443621927372,
                0.9571321261284365,
                0.7118616234687976,
                0.6415868413200041,
                0.966423372178215,
                0.9049755057752384,
                0.4538850342251352,
                0.9493989198742939,
                0.9639297094780352,
                0.9556060662469822,
                0.9147334243065269,
                0.3299758673889182,
                0.9318946670980303,
                0.9474722166553907,
                0.8990309486489083,
                0.937554198004637,
                0.9346031296414058,
                0.9691931099546554,
                0.9252401781206325,
                0.935762884440761
              ],
              "solve_times": [
                3.0403706970000712,
                3.08123099799991,
                3.023686640000051,
                3.0945177500000227,
                3.004271077000112,
                3.002349564000042,
                3.040332681999871,
                3.0462741179999284,
                3.018194300999994,
                3.1338164309997865,
                2.9999838779999664,
                3.0252601080001114,
                3.0907697650000046,
                3.0092245779999303,
                3.0017715989999942,
                3.060165606999817,
                3.031494543000008,
                3.022460970000111,
                3.0352284379998764,
                3.0384002739999687
              ],
              "avg_iterations": 300.0,
              "convergence_rate": 0.0
            }
          }
        }
      ]
    },
    {
      "seed": 123,
      "models": [
        {
          "name": "No Preconditioner",
          "param_count": 0,
          "train_time": 0.0,
          "train_history": [],
          "eval": {
            "diffusion_16": {
              "iterations": [
                77,
                100,
                83,
                78,
                77,
                92,
                78,
                91,
                98,
                103,
                106,
                76,
                80,
                99,
                116,
                83,
                87,
                91,
                82,
                86
              ],
              "converged": [
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true
              ],
              "final_residuals": [
                9.179614471129425e-07,
                9.307896628594875e-07,
                9.921699109440827e-07,
                9.99998769557713e-07,
                9.889537123289207e-07,
                9.921715075464122e-07,
                9.692106875214645e-07,
                9.421424498564919e-07,
                8.965093469817251e-07,
                9.575377806002933e-07,
                9.410963601726259e-07,
                9.991855316116535e-07,
                8.185070662466136e-07,
                9.690136336394037e-07,
                9.525268265096137e-07,
                9.533396627751897e-07,
                9.969482963816195e-07,
                9.717944782725867e-07,
                9.392704034901964e-07,
                9.877302293946654e-07
              ],
              "solve_times": [
                0.3005185019999317,
                0.39580919300010464,
                0.3326701480000338,
                0.3028396919999068,
                0.30768182199994953,
                0.3860005000001365,
                0.30245267500004047,
                0.38312625999992633,
                0.3919339149999814,
                0.40533875000005537,
                0.43929470099988066,
                0.2948973519999072,
                0.31217554399995606,
                0.39635593999992125,
                0.47862841500000286,
                0.34025031500004843,
                0.3584803890000785,
                0.393269379000003,
                0.34967964600014056,
                0.3494238459998087
              ],
              "avg_iterations": 89.15,
              "convergence_rate": 1.0
            },
            "diffusion_24": {
              "iterations": [
                142,
                146,
                139,
                165,
                139,
                139,
                150,
                140,
                242,
                147,
                158,
                144,
                143,
                168,
                152,
                126,
                154,
                147,
                138,
                143
              ],
              "converged": [
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true
              ],
              "final_residuals": [
                9.550797302627224e-07,
                9.638133033394047e-07,
                9.918065186729356e-07,
                9.962314924890448e-07,
                9.745370592413457e-07,
                9.852604500385284e-07,
                9.937818806054518e-07,
                9.840449338564995e-07,
                9.924653103078892e-07,
                9.487556607305237e-07,
                9.977911497179985e-07,
                9.684746700230051e-07,
                9.83845112135166e-07,
                9.80670170211614e-07,
                9.98315888181575e-07,
                9.73714831753649e-07,
                9.978964018834824e-07,
                9.99541841649823e-07,
                9.565719625050466e-07,
                9.688421704240074e-07
              ],
              "solve_times": [
                0.5794390400001248,
                0.599677217000135,
                0.5625083759998688,
                0.669813245000114,
                0.5635014290000981,
                0.5772859840001274,
                0.6299025179998807,
                0.5810678210000333,
                1.0086333239999021,
                0.6374701029999414,
                0.6445296649999364,
                0.5954001889999745,
                0.5823744770000303,
                0.6916449499999544,
                0.6453393270001015,
                0.5144429909998962,
                0.7122514939999292,
                0.6140152510001826,
                0.5635112499999195,
                0.5880052899999555
              ],
              "avg_iterations": 151.1,
              "convergence_rate": 1.0
            },
            "diffusion_32": {
              "iterations": [
                179,
                278,
                175,
                180,
                172,
                178,
                174,
                212,
                231,
                200,
                187,
                212,
                162,
                201,
                207,
                143,
                148,
                158,
                149,
                215
              ],
              "converged": [
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true
              ],
              "final_residuals": [
                9.928013379450416e-07,
                9.942689405510014e-07,
                9.96744998707244e-07,
                9.806002060587168e-07,
                9.75985143561241e-07,
                9.933011468070365e-07,
                9.998093868007762e-07,
                9.931669523506382e-07,
                9.924823454882449e-07,
                9.917032929033768e-07,
                9.780001983902366e-07,
                9.849678361178901e-07,
                9.932049508981986e-07,
                9.625199157172413e-07,
                9.871267908537925e-07,
                9.577927202209473e-07,
                9.879061314542818e-07,
                9.966578326518832e-07,
                9.973922896936269e-07,
                9.998804553562674e-07
              ],
              "solve_times": [
                0.7506207180003912,
                1.1774361809998481,
                0.7281574300000102,
                0.7628779460001169,
                0.7186298870001337,
                0.7699789389998841,
                0.7216927540002871,
                0.8897155150002618,
                0.9604048910000529,
                0.8354804669997975,
                0.7840774000001147,
                0.9075513819998378,
                0.6652493900000991,
                0.8355420899997625,
                0.8666788270002144,
                0.5967319350002072,
                0.6295345839998845,
                0.6538939749998463,
                0.6360322569998971,
                0.9089981369997986
              ],
              "avg_iterations": 188.05,
              "convergence_rate": 1.0
            },
            "diffusion_48": {
              "iterations": [
                300,
                215,
                300,
                274,
                300,
                300,
                300,
                295,
                292,
                251,
                299,
                249,
                300,
                300,
                300,
                247,
                284,
                284,
                262,
                207
              ],
              "converged": [
                false,
                true,
                false,
                true,
                false,
                false,
                false,
                true,
                true,
                true,
                true,
                true,
                false,
                false,
                false,
                true,
                true,
                true,
                true,
                true
              ],
              "final_residuals": [
                1.5226702366480313e-06,
                9.990115919073803e-07,
                1.0623233174544554e-06,
                9.948729427983617e-07,
                1.0817656608488699e-06,
                1.035968736961434e-06,
                1.661800051892952e-06,
                9.971117046818385e-07,
                9.945606243450133e-07,
                9.933112955246432e-07,
                9.93156971009229e-07,
                9.941651570407788e-07,
                2.0046562025400765e-06,
                1.0571293042518113e-06,
                1.554181462924103e-06,
                9.873628918807974e-07,
                9.944357498175659e-07,
                9.992561530484318e-07,
                9.828028235672276e-07,
                9.839979451596332e-07
              ],
              "solve_times": [
                1.2849848509999902,
                0.9165848990000995,
                1.2879640810001547,
                1.1592246669997621,
                1.2831166030000531,
                1.2872210299997278,
                1.279860521000046,
                1.2441719660000672,
                1.2322458230000848,
                1.043794706999961,
                1.275248195000131,
                1.0382964270002049,
                1.2858851060000234,
                1.2836198969998804,
                1.3032518160002837,
                1.0725869279999642,
                1.2102505570001085,
                1.1797796040000321,
                1.1562921300001108,
                0.8719522630003667
              ],
              "avg_iterations": 277.95,
              "convergence_rate": 0.6
            },
            "advection_16": {
              "iterations": [
                76,
                86,
                88,
                84,
                94,
                79,
                76,
                81,
                90,
                85,
                102,
                94,
                87,
                104,
                87,
                82,
                89,
                82,
                92,
                90
              ],
              "converged": [
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true
              ],
              "final_residuals": [
                9.287068025463184e-07,
                9.311696739338405e-07,
                9.908162259784056e-07,
                9.485003736137903e-07,
                8.971592726143367e-07,
                9.28849084789194e-07,
                9.62351334237261e-07,
                9.076933963443435e-07,
                8.911111449789587e-07,
                9.617029658757326e-07,
                9.224848485037185e-07,
                9.475224460988767e-07,
                9.31976981676081e-07,
                9.660662403167284e-07,
                9.862966272691832e-07,
                9.762900444326555e-07,
                9.78192363750478e-07,
                9.840002849783938e-07,
                9.632587771968494e-07,
                9.498876308045703e-07
              ],
              "solve_times": [
                0.29660729499983063,
                0.3498734230001901,
                0.3616758469997876,
                0.33787389299959614,
                0.3812250210003185,
                0.32680275599977904,
                0.2970039739998356,
                0.31827767100003257,
                0.3739874200000486,
                0.3468989960001636,
                0.4037822599998435,
                0.38156002700043246,
                0.35353297299980113,
                0.4101621830000113,
                0.3544109459999163,
                0.3235280489998331,
                0.3666899650002051,
                0.3461248139997224,
                0.3796191629999157,
                0.3757904529998086
              ],
              "avg_iterations": 87.4,
              "convergence_rate": 1.0
            },
            "advection_24": {
              "iterations": [
                173,
                126,
                139,
                126,
                158,
                132,
                139,
                150,
                147,
                129,
                152,
                119,
                114,
                153,
                126,
                144,
                126,
                140,
                123,
                127
              ],
              "converged": [
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true
              ],
              "final_residuals": [
                9.811891753359051e-07,
                9.990324112578737e-07,
                9.566955097755256e-07,
                9.848386677245694e-07,
                9.681355926644957e-07,
                9.742938385792895e-07,
                9.712269817842494e-07,
                9.635677714940236e-07,
                9.645223701160156e-07,
                9.704842198727884e-07,
                9.848354777965766e-07,
                9.532011805273377e-07,
                9.502528376842409e-07,
                9.605011722615076e-07,
                9.826371116130909e-07,
                9.7860171911828e-07,
                9.85636277323315e-07,
                9.52747397241912e-07,
                9.861554537632032e-07,
                9.860003352845887e-07
              ],
              "solve_times": [
                0.7129201329998978,
                0.5168344969997634,
                0.5702656449998358,
                0.516060558999925,
                0.6616271960001541,
                0.5557694320000337,
                0.5628438000003371,
                0.6409544539997114,
                0.6096890019998682,
                0.5272641970000222,
                0.6427271039997322,
                0.512795135000033,
                0.46517916599987075,
                0.6357170569999653,
                0.5266499609997481,
                0.5939003680000496,
                0.5459875060000741,
                0.5626724349999677,
                0.5130573080000431,
                0.5185588969998207
              ],
              "avg_iterations": 137.15,
              "convergence_rate": 1.0
            },
            "advection_32": {
              "iterations": [
                156,
                139,
                172,
                194,
                223,
                154,
                198,
                228,
                153,
                172,
                197,
                194,
                170,
                257,
                193,
                213,
                153,
                172,
                170,
                200
              ],
              "converged": [
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true
              ],
              "final_residuals": [
                9.439898195746504e-07,
                9.800750471890073e-07,
                9.871834627514019e-07,
                9.871412595886927e-07,
                9.985420535391717e-07,
                9.58532749358498e-07,
                9.89635885336821e-07,
                9.81444892958645e-07,
                9.95849663478244e-07,
                9.830049777379424e-07,
                9.880402715293613e-07,
                9.86044462097994e-07,
                9.981416568187473e-07,
                9.970744727907183e-07,
                9.772234643205413e-07,
                9.95791572788015e-07,
                9.73798723618909e-07,
                9.982718476314456e-07,
                9.960960365596553e-07,
                9.947252307889424e-07
              ],
              "solve_times": [
                0.6474531670000943,
                0.6254308979996495,
                0.7091074599998137,
                0.8030086129997471,
                0.9246261470002537,
                0.6516186930002732,
                0.8252884059997996,
                0.9505585699998846,
                0.6432262819998869,
                0.7544943740003873,
                0.8142206130000886,
                0.7999244570000883,
                0.7037153050000597,
                1.0692341139997552,
                0.8322462400001314,
                0.894770890000018,
                0.6588214170001265,
                0.7089631600001667,
                0.7219033390001641,
                0.8341076130000147
              ],
              "avg_iterations": 185.4,
              "convergence_rate": 1.0
            },
            "advection_48": {
              "iterations": [
                300,
                212,
                255,
                263,
                274,
                247,
                257,
                248,
                290,
                300,
                294,
                277,
                300,
                300,
                222,
                243,
                279,
                242,
                300,
                249
              ],
              "converged": [
                false,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                false,
                false,
                true,
                true,
                true,
                true,
                false,
                true
              ],
              "final_residuals": [
                1.108894094530993e-06,
                9.812305140765766e-07,
                9.883909406966606e-07,
                9.995483381174946e-07,
                9.894326250519946e-07,
                9.913039594248355e-07,
                9.908699306225346e-07,
                9.862450786401145e-07,
                9.869475634640064e-07,
                9.849644038889709e-07,
                9.87940510110558e-07,
                9.87779593667715e-07,
                1.0259974019743e-06,
                1.2989660443676632e-06,
                9.947796317852797e-07,
                9.880721245409214e-07,
                9.985824355274345e-07,
                9.988269624497786e-07,
                1.9953645578325407e-06,
                9.940627652026235e-07
              ],
              "solve_times": [
                1.2899473570000737,
                0.9301275090001582,
                1.0671242389998952,
                1.1123986800002967,
                1.180955977999929,
                1.0318798619996414,
                1.0797582870000042,
                1.0433421859997907,
                1.215230548999898,
                1.2840148049999698,
                1.2408070659998884,
                1.168200371000239,
                1.2998942900003385,
                1.275904642000114,
                0.9430234830001609,
                1.0223746020001272,
                1.228738517000238,
                1.0452960630000234,
                1.2970214319998377,
                1.0448259210002107
              ],
              "avg_iterations": 267.6,
              "convergence_rate": 0.8
            },
            "graph_laplacian_16": {
              "iterations": [
                15,
                14,
                14,
                13,
                16,
                15,
                13,
                15,
                16,
                15,
                14,
                15,
                16,
                14,
                14,
                14,
                15,
                16,
                14,
                16
              ],
              "converged": [
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true
              ],
              "final_residuals": [
                6.517177302612887e-07,
                9.906250057667284e-07,
                3.4763045090526904e-07,
                8.708222020421609e-07,
                3.493562337808801e-07,
                6.014910037420963e-07,
                7.278892163263304e-07,
                8.466422077395969e-07,
                3.519609263892013e-07,
                7.812360611466873e-07,
                5.799588249940384e-07,
                8.030142651576926e-07,
                5.217388867951473e-07,
                6.3955992557235e-07,
                6.407020574238307e-07,
                6.889859726429568e-07,
                8.54727235156029e-07,
                5.242282590745187e-07,
                3.704735861073416e-07,
                3.615115913689225e-07
              ],
              "solve_times": [
                0.04098299199995381,
                0.036398078000274836,
                0.03636904599989066,
                0.03259390999983225,
                0.04481876199997714,
                0.04111602100010714,
                0.036636278000059974,
                0.04091801499998837,
                0.044846760999917024,
                0.040715939000165235,
                0.036597077999886096,
                0.04068244300015067,
                0.04512541899975986,
                0.03687411999999313,
                0.036871914000130346,
                0.03687311400017279,
                0.040900431999943976,
                0.0449694730000374,
                0.03688517299997329,
                0.045912699999917095
              ],
              "avg_iterations": 14.7,
              "convergence_rate": 1.0
            },
            "graph_laplacian_24": {
              "iterations": [
                16,
                15,
                15,
                14,
                12,
                14,
                14,
                13,
                15,
                14,
                15,
                15,
                15,
                15,
                15,
                14,
                14,
                14,
                15,
                16
              ],
              "converged": [
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true
              ],
              "final_residuals": [
                5.237797935481668e-07,
                3.9156414147882585e-07,
                5.62873496907854e-07,
                4.649438465412814e-07,
                5.136907474047354e-07,
                9.774475909705509e-07,
                9.44309040489831e-07,
                4.5221371811683764e-07,
                6.785309092868782e-07,
                2.7787418364121984e-07,
                5.248038961646618e-07,
                2.7085806305871976e-07,
                5.913823507846318e-07,
                5.861563221097455e-07,
                7.242045060068668e-07,
                6.949685314225813e-07,
                5.104288711665875e-07,
                4.21982834693953e-07,
                4.419309122127501e-07,
                5.288362096369524e-07
              ],
              "solve_times": [
                0.044701454999994894,
                0.041412199000205874,
                0.041345939000166254,
                0.03736195700003009,
                0.03743925399976433,
                0.04765429299959578,
                0.05254110799978662,
                0.0460441510003875,
                0.054945418999977846,
                0.036789409999983036,
                0.04065200200011532,
                0.04152975399983916,
                0.0425468160001401,
                0.04163298499997836,
                0.04059263299996019,
                0.03689249400031258,
                0.037386489999789774,
                0.037345711000398296,
                0.041308080999897356,
                0.045690488000218465
              ],
              "avg_iterations": 14.5,
              "convergence_rate": 1.0
            },
            "graph_laplacian_32": {
              "iterations": [
                15,
                14,
                15,
                15,
                16,
                16,
                13,
                15,
                16,
                15,
                15,
                16,
                16,
                16,
                15,
                14,
                15,
                14,
                13,
                14
              ],
              "converged": [
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true
              ],
              "final_residuals": [
                3.6865689178596327e-07,
                4.946584623295917e-07,
                4.1932523018524197e-07,
                7.164688828686661e-07,
                4.353878803959363e-07,
                3.50972999222881e-07,
                3.8972420818089976e-07,
                6.116275900607454e-07,
                4.5547649203366636e-07,
                7.339412554459222e-07,
                8.760642138476459e-07,
                4.488498302762755e-07,
                3.8104533582639865e-07,
                3.5605596604942724e-07,
                3.836809840854068e-07,
                7.086943035855099e-07,
                5.839675582131321e-07,
                7.519468111459164e-07,
                9.457085111180148e-07,
                6.65073774426213e-07
              ],
              "solve_times": [
                0.04613227099980577,
                0.03779082799974276,
                0.04171758199981923,
                0.04131055200014089,
                0.046031252999910066,
                0.04574565700022504,
                0.03376626399995075,
                0.04137352699990515,
                0.045901836000211915,
                0.04203612700030135,
                0.041627633000189235,
                0.045920363000277575,
                0.04617560099995899,
                0.045860790999995515,
                0.041274485000030836,
                0.03729405800004315,
                0.041134591000172804,
                0.037247210999794333,
                0.033311192999917694,
                0.03724858400028097
              ],
              "avg_iterations": 14.9,
              "convergence_rate": 1.0
            },
            "graph_laplacian_48": {
              "iterations": [
                15,
                15,
                15,
                13,
                14,
                13,
                15,
                15,
                13,
                13,
                15,
                13,
                15,
                15,
                15,
                15,
                14,
                12,
                15,
                14
              ],
              "converged": [
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true
              ],
              "final_residuals": [
                9.498723484015913e-07,
                7.972699293156366e-07,
                9.652253658174453e-07,
                9.388778758574475e-07,
                3.822383524860774e-07,
                5.548609675162621e-07,
                4.0157122504950856e-07,
                5.164922802438703e-07,
                7.149698436958878e-07,
                8.425976946817788e-07,
                6.118590986911301e-07,
                4.592220503361021e-07,
                3.2429975754424067e-07,
                8.960177643772931e-07,
                4.5121210216919147e-07,
                3.5127225173381064e-07,
                3.1247793952301107e-07,
                5.005714443309471e-07,
                6.706917234432125e-07,
                7.824911119364775e-07
              ],
              "solve_times": [
                0.04162128699999812,
                0.04147238499990635,
                0.04134822600008192,
                0.03326709099974323,
                0.037288900000021385,
                0.033438009999827045,
                0.04119703300011679,
                0.041244438999910926,
                0.03323004300000321,
                0.03348835399992822,
                0.041762602999824594,
                0.03559463200008395,
                0.04155612100021244,
                0.04145608399994671,
                0.04131789699977162,
                0.04127939799991509,
                0.0371745990000818,
                0.029687662000014825,
                0.04117361799990249,
                0.037251403000027494
              ],
              "avg_iterations": 14.2,
              "convergence_rate": 1.0
            }
          }
        },
        {
          "name": "Jacobi",
          "param_count": 0,
          "train_time": 0.0,
          "train_history": [],
          "eval": {
            "diffusion_16": {
              "iterations": [
                57,
                73,
                62,
                65,
                73,
                65,
                70,
                70,
                72,
                60,
                73,
                59,
                78,
                79,
                76,
                64,
                69,
                73,
                71,
                69
              ],
              "converged": [
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true
              ],
              "final_residuals": [
                9.116713241383724e-07,
                8.573587609046922e-07,
                9.012735867192169e-07,
                9.905418642259227e-07,
                9.571414683347686e-07,
                8.778904900500693e-07,
                9.499721052779067e-07,
                8.808873548273749e-07,
                9.150096065776823e-07,
                9.914574486799502e-07,
                9.913246167959444e-07,
                9.62940913745731e-07,
                8.965447425058104e-07,
                9.28333069964201e-07,
                8.570456551613251e-07,
                8.954662604968592e-07,
                9.173511618968722e-07,
                9.557303382284384e-07,
                9.940891159416134e-07,
                9.263931557347644e-07
              ],
              "solve_times": [
                0.23070261799989566,
                0.28331410999999207,
                0.25902819700013424,
                0.26563532099999065,
                0.28526259299997037,
                0.2948695630000202,
                0.2801996840000811,
                0.27689099899998837,
                0.28101957300009417,
                0.2634137939999164,
                0.2864202729999761,
                0.24500343500017152,
                0.3229083690000607,
                0.3115979310000512,
                0.29779426000004605,
                0.2585427259998596,
                0.2720976430000519,
                0.28590502699989884,
                0.27655509600003825,
                0.27689407000002575
              ],
              "avg_iterations": 68.9,
              "convergence_rate": 1.0
            },
            "diffusion_24": {
              "iterations": [
                103,
                90,
                88,
                116,
                81,
                97,
                99,
                86,
                117,
                110,
                106,
                97,
                102,
                108,
                98,
                106,
                108,
                100,
                106,
                115
              ],
              "converged": [
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true
              ],
              "final_residuals": [
                9.426465485913453e-07,
                9.794601082529793e-07,
                9.915606941100913e-07,
                9.77564361664843e-07,
                9.024641578268581e-07,
                9.713734723271079e-07,
                9.556359514749124e-07,
                9.411366464182339e-07,
                9.05721718836348e-07,
                8.973530057967794e-07,
                9.469754497205923e-07,
                9.574607965025745e-07,
                9.634819819725642e-07,
                9.283085137594286e-07,
                9.971812080020057e-07,
                9.287713421938854e-07,
                9.072189052850782e-07,
                9.90212950766976e-07,
                9.007192892202676e-07,
                9.49056541751082e-07
              ],
              "solve_times": [
                0.4127833930001543,
                0.3798694990000513,
                0.3668555420001667,
                0.478583664000098,
                0.3319349939999938,
                0.3941289809999944,
                0.4041585700001633,
                0.36796521500014023,
                0.48532789399996545,
                0.46246405200008667,
                0.4248502830000689,
                0.39379583599998114,
                0.4092625060000046,
                0.4328126999998858,
                0.41055812300010075,
                0.4248219609999069,
                0.4448511589998816,
                0.40139164199990773,
                0.425234731999808,
                0.47242943999981435
              ],
              "avg_iterations": 101.65,
              "convergence_rate": 1.0
            },
            "diffusion_32": {
              "iterations": [
                117,
                172,
                147,
                138,
                137,
                126,
                143,
                132,
                124,
                134,
                119,
                118,
                131,
                140,
                110,
                108,
                112,
                120,
                106,
                136
              ],
              "converged": [
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true
              ],
              "final_residuals": [
                9.870684950104492e-07,
                9.859384839228298e-07,
                9.375053201418817e-07,
                9.614404649908564e-07,
                9.98994522166671e-07,
                9.793633427291557e-07,
                9.879869185865998e-07,
                9.826741980306053e-07,
                9.929204322869886e-07,
                9.88654787000341e-07,
                9.978433087300625e-07,
                9.825213099699917e-07,
                9.831603279388614e-07,
                9.701422316996816e-07,
                9.589411834308628e-07,
                9.646581570477381e-07,
                9.882317386973369e-07,
                9.909563426262404e-07,
                9.663420694970224e-07,
                9.92657940317722e-07
              ],
              "solve_times": [
                0.49027126800001497,
                0.7140094040000804,
                0.6776012289997198,
                0.574267492999752,
                0.5649464390003232,
                0.524890441000025,
                0.5965939899997466,
                0.5460816019999584,
                0.5227121490001991,
                0.5539854799999375,
                0.5045964070000082,
                0.506648789999872,
                0.5393317410002965,
                0.5771739120000348,
                0.4508768609998697,
                0.4454452660002062,
                0.47292233300004227,
                0.531500916999903,
                0.428579518999868,
                0.5550881919998574
              ],
              "avg_iterations": 128.5,
              "convergence_rate": 1.0
            },
            "diffusion_48": {
              "iterations": [
                156,
                172,
                198,
                186,
                193,
                201,
                163,
                186,
                137,
                168,
                159,
                182,
                198,
                139,
                184,
                159,
                197,
                152,
                174,
                134
              ],
              "converged": [
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true
              ],
              "final_residuals": [
                9.889715609616788e-07,
                9.722331765790208e-07,
                9.826448215855052e-07,
                9.924857203501824e-07,
                9.849229223423932e-07,
                9.77898211383621e-07,
                9.983891914732597e-07,
                9.770870832872288e-07,
                9.968999638170824e-07,
                9.831217590540399e-07,
                9.934325735639293e-07,
                9.799992111727358e-07,
                9.987626923910707e-07,
                9.777762473439194e-07,
                9.929900257669678e-07,
                9.981956821553012e-07,
                9.714775078368389e-07,
                9.659994058016322e-07,
                9.921120388468384e-07,
                9.994852572670692e-07
              ],
              "solve_times": [
                0.6614119529999698,
                0.7176722089998293,
                0.8612967530002607,
                0.8472172460001275,
                0.8189447969998582,
                0.8533682490001411,
                0.6738862650004194,
                0.7838773490002495,
                0.5809992650001732,
                0.695367941999848,
                0.6595648010002151,
                0.7759393410001394,
                0.8232098220000807,
                0.6024132949996783,
                0.7761903299997357,
                0.6643765509998047,
                0.8214543589997447,
                0.6477932150000925,
                0.7319672369999353,
                0.5683727289997478
              ],
              "avg_iterations": 171.9,
              "convergence_rate": 1.0
            },
            "advection_16": {
              "iterations": [
                66,
                76,
                66,
                67,
                69,
                68,
                60,
                62,
                70,
                70,
                75,
                63,
                73,
                66,
                64,
                81,
                69,
                70,
                74,
                64
              ],
              "converged": [
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true
              ],
              "final_residuals": [
                9.190756636661966e-07,
                8.999912747035328e-07,
                9.736111288907432e-07,
                9.962575539979011e-07,
                9.211391443577691e-07,
                9.779542198104782e-07,
                8.932123801238199e-07,
                9.145296668951257e-07,
                9.385895593416365e-07,
                9.062198106765421e-07,
                9.79287815434272e-07,
                9.62548145072359e-07,
                8.701611348485595e-07,
                9.652681085122993e-07,
                8.079266004742788e-07,
                9.199267380056487e-07,
                9.385699792566602e-07,
                9.654687986560084e-07,
                9.537192201366846e-07,
                9.994512577142813e-07
              ],
              "solve_times": [
                0.2800919559999784,
                0.2964625099998557,
                0.2625661920001221,
                0.2848330189999615,
                0.2733549720001065,
                0.26957549600001585,
                0.2544140449999759,
                0.2589884570002141,
                0.2755689830000847,
                0.2740351389998068,
                0.2930502469998828,
                0.2973312550002447,
                0.28363913000021057,
                0.2625141859998621,
                0.26253554499999154,
                0.32040299900018,
                0.26972083299961014,
                0.2728249870001491,
                0.36589031299990893,
                0.2588413580001543
              ],
              "avg_iterations": 68.65,
              "convergence_rate": 1.0
            },
            "advection_24": {
              "iterations": [
                115,
                78,
                95,
                86,
                108,
                100,
                88,
                98,
                117,
                105,
                108,
                102,
                82,
                87,
                110,
                108,
                97,
                85,
                111,
                84
              ],
              "converged": [
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true
              ],
              "final_residuals": [
                9.684194203658014e-07,
                8.494088010526618e-07,
                9.410801168018567e-07,
                9.62499641739175e-07,
                9.467854228121772e-07,
                9.965556393562102e-07,
                9.923241160203754e-07,
                9.623554780955256e-07,
                9.771079261350061e-07,
                9.418589445964771e-07,
                9.99153891038353e-07,
                9.620197700546503e-07,
                9.268418272394635e-07,
                9.92396349346117e-07,
                9.64448100842906e-07,
                9.375023724670783e-07,
                9.771293145307184e-07,
                8.684465943424902e-07,
                9.368435761803467e-07,
                9.273493178223291e-07
              ],
              "solve_times": [
                0.49655519499992806,
                0.3075011989999439,
                0.4114357299999938,
                0.3543132019999575,
                0.4350535150001633,
                0.4053574170002321,
                0.3673376990000179,
                0.40754207000009046,
                0.4853067489998466,
                0.42277186799992705,
                0.44170396299978165,
                0.4088322379998317,
                0.3474825130001591,
                0.3575797710000188,
                0.4448914680001508,
                0.43851072500001465,
                0.3967228330002399,
                0.35557639800026664,
                0.452382420000049,
                0.3552792280001995
              ],
              "avg_iterations": 98.2,
              "convergence_rate": 1.0
            },
            "advection_32": {
              "iterations": [
                124,
                134,
                131,
                146,
                137,
                136,
                123,
                115,
                97,
                128,
                112,
                107,
                122,
                150,
                140,
                148,
                122,
                128,
                121,
                129
              ],
              "converged": [
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true
              ],
              "final_residuals": [
                9.609176868392165e-07,
                9.825042569261891e-07,
                9.863457274062992e-07,
                9.592827936077258e-07,
                9.699192306465128e-07,
                9.833602417556555e-07,
                9.96622126339458e-07,
                9.901422339884845e-07,
                9.448460143616437e-07,
                9.874893040764539e-07,
                9.839569000246914e-07,
                9.005209685409531e-07,
                9.972111627226567e-07,
                9.633698507475981e-07,
                9.670878247813808e-07,
                9.976232971310334e-07,
                9.907289686208929e-07,
                9.796904623100272e-07,
                9.914281017680938e-07,
                9.667106537510872e-07
              ],
              "solve_times": [
                0.5264786480001931,
                0.5543527790000553,
                0.5475695669997549,
                0.6123553350003021,
                0.5628103690000898,
                0.554786366999906,
                0.5313521799998853,
                0.47699873900000966,
                0.4013792219998322,
                0.5253337469998769,
                0.4600643429998854,
                0.4395703400000457,
                0.5581082250000691,
                0.6353754579999986,
                0.5881492319999779,
                0.6222243610000078,
                0.5168536910000512,
                0.549623069000063,
                0.5414469810002629,
                0.5466576929998155
              ],
              "avg_iterations": 127.5,
              "convergence_rate": 1.0
            },
            "advection_48": {
              "iterations": [
                155,
                176,
                160,
                198,
                192,
                173,
                156,
                171,
                195,
                161,
                195,
                142,
                168,
                167,
                175,
                171,
                177,
                164,
                228,
                184
              ],
              "converged": [
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true
              ],
              "final_residuals": [
                9.821203645693832e-07,
                9.93111701474099e-07,
                9.79197983818132e-07,
                9.698670380008065e-07,
                9.82410056190924e-07,
                9.785763021854113e-07,
                9.951157521720982e-07,
                9.943778725437127e-07,
                9.753761555632155e-07,
                9.877834708719855e-07,
                9.725606968979396e-07,
                9.912732187856053e-07,
                9.612541424850048e-07,
                9.965007451183427e-07,
                9.938162615164757e-07,
                9.87464560756202e-07,
                9.783816245205175e-07,
                9.910544320326078e-07,
                9.803969872942166e-07,
                9.96221251416152e-07
              ],
              "solve_times": [
                0.6447732679998808,
                0.7424848929999825,
                0.673689934000322,
                0.8262305510002079,
                0.8009798690000025,
                0.7871988720003174,
                0.6593035500000042,
                0.733414459999949,
                0.8258521100001417,
                0.672044969000126,
                0.8236951760000011,
                0.586503938000078,
                0.6968114589999459,
                0.7060473930000626,
                0.7354610010002034,
                0.7176504139997633,
                0.7554224319997047,
                0.6928592610001942,
                0.9908855899998343,
                0.7726904209998793
              ],
              "avg_iterations": 175.4,
              "convergence_rate": 1.0
            },
            "graph_laplacian_16": {
              "iterations": [
                9,
                9,
                8,
                8,
                9,
                8,
                9,
                9,
                9,
                9,
                9,
                8,
                9,
                8,
                8,
                9,
                9,
                10,
                8,
                9
              ],
              "converged": [
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true
              ],
              "final_residuals": [
                1.7420285413593409e-07,
                4.997139235724146e-07,
                8.144287147965632e-07,
                7.242079964304028e-07,
                5.649874023318574e-07,
                7.124288519217436e-07,
                2.664506352783645e-07,
                7.784347069500871e-07,
                4.1143749066672667e-07,
                4.243669421914839e-07,
                6.608646182126055e-07,
                8.665653247266943e-07,
                3.5961860353591113e-07,
                3.929512472879537e-07,
                4.391481312849965e-07,
                2.7083553553711784e-07,
                2.532210423935556e-07,
                4.3727617621820046e-07,
                6.903216382097223e-07,
                3.3906448573932364e-07
              ],
              "solve_times": [
                0.02042535400005363,
                0.020253230999969674,
                0.017445377000058215,
                0.01764879700021993,
                0.020339596000212623,
                0.017369197999869357,
                0.02034847400000217,
                0.0203322920001483,
                0.02030450500024017,
                0.02038060899985794,
                0.020344195000234322,
                0.019712662000074488,
                0.020135607000156597,
                0.017164334999961284,
                0.01717311599986715,
                0.019852284000080545,
                0.01991369899997153,
                0.022975799000050756,
                0.017143062999821268,
                0.019978384999831178
              ],
              "avg_iterations": 8.7,
              "convergence_rate": 1.0
            },
            "graph_laplacian_24": {
              "iterations": [
                8,
                8,
                8,
                8,
                8,
                8,
                7,
                8,
                8,
                7,
                8,
                8,
                8,
                8,
                9,
                8,
                7,
                7,
                7,
                8
              ],
              "converged": [
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true
              ],
              "final_residuals": [
                9.8586800703803e-07,
                1.3377454953941056e-07,
                1.7262043354350576e-07,
                1.307889056665562e-07,
                2.106681312298466e-07,
                1.655686950743464e-07,
                6.166970023882232e-07,
                1.6490742081535865e-07,
                2.420692782720123e-07,
                8.499224079003791e-07,
                4.254074029155958e-07,
                1.5500481062804418e-07,
                2.1342480636601827e-07,
                3.987565395019653e-07,
                5.071305437951237e-07,
                3.5306763841161294e-07,
                7.696581492179967e-07,
                4.863846688816435e-07,
                6.359157013954147e-07,
                3.5937638201495065e-07
              ],
              "solve_times": [
                0.01738410699999804,
                0.017797126000004937,
                0.01777558100002352,
                0.01774854299992512,
                0.017351101000258495,
                0.017706814000121085,
                0.016050325999913184,
                0.017407770000318123,
                0.0178046699998049,
                0.014698676000080013,
                0.017330023999875266,
                0.017776220999621728,
                0.017805756000143447,
                0.01782885200009332,
                0.02006054599996787,
                0.01733804700006658,
                0.015100494000307663,
                0.015134216999740602,
                0.015025661999970907,
                0.01776359500036051
              ],
              "avg_iterations": 7.8,
              "convergence_rate": 1.0
            },
            "graph_laplacian_32": {
              "iterations": [
                7,
                7,
                8,
                8,
                8,
                7,
                7,
                7,
                8,
                8,
                8,
                8,
                7,
                8,
                7,
                7,
                7,
                8,
                8,
                8
              ],
              "converged": [
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true
              ],
              "final_residuals": [
                7.150958888025382e-07,
                1.7846791983426322e-07,
                2.2820304040904384e-07,
                1.5778715649759596e-07,
                1.811466622012184e-07,
                6.786108297666502e-07,
                4.254546516636069e-07,
                9.614010961679e-07,
                2.413041158645352e-07,
                2.269255529868341e-07,
                1.4238971667486796e-07,
                3.869426901404848e-07,
                5.838870230085152e-07,
                4.919499305997862e-07,
                4.016956552688588e-07,
                3.510982541280301e-07,
                9.786213637257642e-07,
                1.4238693574293751e-07,
                3.364123181682492e-07,
                2.923890857396171e-07
              ],
              "solve_times": [
                0.01507312900002944,
                0.015079762999903323,
                0.01774862899992513,
                0.01772376200005965,
                0.017715547000079823,
                0.01788495300024806,
                0.019585591000122804,
                0.015199368000139657,
                0.017763750000085565,
                0.017710053999962838,
                0.018392194000171003,
                0.020823021000069275,
                0.015554674999748386,
                0.017828042000019195,
                0.0151113950000763,
                0.015157199999976001,
                0.01508424500025285,
                0.017764064999937546,
                0.017734244999701332,
                0.017690073000267148
              ],
              "avg_iterations": 7.55,
              "convergence_rate": 1.0
            },
            "graph_laplacian_48": {
              "iterations": [
                7,
                7,
                8,
                7,
                6,
                6,
                7,
                7,
                6,
                6,
                7,
                7,
                7,
                7,
                7,
                6,
                7,
                6,
                7,
                7
              ],
              "converged": [
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true
              ],
              "final_residuals": [
                1.5342087172833514e-07,
                2.0517986336534045e-07,
                1.245112945221245e-07,
                1.1815624654289962e-07,
                9.13587558644445e-07,
                7.023801314608686e-07,
                6.174860548362909e-07,
                2.7310612641388853e-07,
                5.571442632469354e-07,
                4.989309223435956e-07,
                1.2956198714357808e-07,
                2.0182939957423235e-07,
                1.5394938196438187e-07,
                1.431117892633808e-07,
                1.4594456919502994e-07,
                4.636744181850636e-07,
                9.655252510493402e-08,
                4.3267337893779157e-07,
                2.988423244257842e-07,
                9.217635515020725e-08
              ],
              "solve_times": [
                0.015183674000127212,
                0.015156747999753861,
                0.0177172190001329,
                0.01502735699978075,
                0.012620494999737275,
                0.012511363999692549,
                0.015011307999884593,
                0.015037128000130906,
                0.012562107000121614,
                0.012541077000150835,
                0.015071957999680308,
                0.014998568999999407,
                0.015055081999889808,
                0.015066225999817107,
                0.015117503000055876,
                0.012615261000064493,
                0.015059966000080749,
                0.012600619999830087,
                0.015109895000023243,
                0.015056280999942828
              ],
              "avg_iterations": 6.75,
              "convergence_rate": 1.0
            }
          }
        },
        {
          "name": "GCN",
          "param_count": 11074,
          "train_time": 50.43345487700003,
          "train_history": [
            0.8096458315849304,
            0.7953789979219437,
            0.7897871732711792,
            0.7798723131418228,
            0.7684473097324371,
            0.7653894424438477,
            0.7453634142875671,
            0.748138964176178,
            0.7419881969690323,
            0.7353090345859528,
            0.7074182629585266,
            0.7027406394481659,
            0.7068094462156296,
            0.6887127012014389,
            0.671728253364563,
            0.676559254527092,
            0.6481678187847137,
            0.6284346282482147,
            0.6444981098175049,
            0.6275748461484909,
            0.6222331821918488,
            0.6424433141946793,
            0.6217519044876099,
            0.577955573797226,
            0.5964609980583191,
            0.5675354450941086,
            0.5756295472383499,
            0.5902947634458542,
            0.5517192780971527,
            0.5487323701381683,
            0.5589075833559036,
            0.52971450984478,
            0.5531986504793167,
            0.49474795162677765,
            0.544744461774826,
            0.5507175549864769,
            0.5245984941720963,
            0.5255731642246246,
            0.49620433151721954,
            0.4753774479031563,
            0.47799886763095856,
            0.5065359249711037,
            0.46970826387405396,
            0.4750075191259384,
            0.4353438764810562,
            0.4584675580263138,
            0.3993549197912216,
            0.46519437432289124,
            0.4288487136363983,
            0.4063979387283325,
            0.44477852433919907,
            0.4455363601446152,
            0.4145249053835869,
            0.4247489348053932,
            0.4142899289727211,
            0.43758608400821686,
            0.3903229385614395,
            0.42517002671957016,
            0.3924085274338722,
            0.4108719080686569,
            0.36927129328250885,
            0.3518121689558029,
            0.32893984764814377,
            0.34644923359155655,
            0.33687764406204224,
            0.3838585689663887,
            0.341220922768116,
            0.3719748631119728,
            0.39912454038858414,
            0.3644784316420555,
            0.379634790122509,
            0.32823290675878525,
            0.3015034794807434,
            0.41239333897829056,
            0.39241358637809753,
            0.379395455121994,
            0.2860010415315628,
            0.32335999608039856,
            0.329363077878952,
            0.31223437935113907,
            0.30934353172779083,
            0.2810094729065895,
            0.2906823679804802,
            0.2960185259580612,
            0.27015847712755203,
            0.25426073372364044,
            0.2839497923851013,
            0.33580566197633743,
            0.2489749975502491,
            0.29465462267398834,
            0.2701614461839199,
            0.3209676072001457,
            0.29994912073016167,
            0.3067438080906868,
            0.2945622242987156,
            0.28493577614426613,
            0.285812433809042,
            0.29436328262090683,
            0.28636614978313446,
            0.2879164442420006,
            0.3144502379000187,
            0.2514464817941189,
            0.3135546036064625,
            0.2766224667429924,
            0.264046385884285,
            0.23184305429458618,
            0.29332783818244934,
            0.22911837324500084,
            0.2742794267833233,
            0.261267963796854,
            0.2814736105501652,
            0.2213030382990837,
            0.2575598657131195,
            0.2759762369096279,
            0.26316624134778976,
            0.2740691863000393,
            0.26873617619276047,
            0.30667900294065475,
            0.29744747281074524,
            0.31290626525878906,
            0.2669839821755886,
            0.27744853124022484,
            0.23079222440719604,
            0.2428532913327217,
            0.2838997356593609,
            0.2829079292714596,
            0.2559117265045643,
            0.2624862715601921,
            0.2674010917544365,
            0.28306084871292114,
            0.2589721418917179,
            0.24938595667481422,
            0.21987127885222435,
            0.2868281379342079,
            0.2628541737794876,
            0.22319632023572922,
            0.21002817898988724,
            0.21042414382100105,
            0.24995772168040276,
            0.23463107272982597,
            0.21998713538050652,
            0.2332776039838791,
            0.21499019488692284,
            0.27995048463344574,
            0.21032045409083366,
            0.24178849533200264,
            0.21757632493972778,
            0.24564392864704132,
            0.20693333446979523,
            0.21323487162590027,
            0.23663216084241867,
            0.21658529341220856,
            0.2385399267077446,
            0.24221591651439667,
            0.20297223702073097,
            0.21006372198462486,
            0.20034632831811905,
            0.21078990399837494,
            0.22448688000440598,
            0.2227897308766842,
            0.21576832234859467,
            0.22205831855535507,
            0.20741435512900352,
            0.22938665375113487,
            0.2445577085018158,
            0.20605019852519035,
            0.23574727773666382,
            0.24086300283670425,
            0.23075087741017342,
            0.22606930881738663,
            0.2012757807970047,
            0.23776669800281525,
            0.2190239131450653,
            0.20468546450138092,
            0.22106356173753738,
            0.2125709131360054,
            0.20561043545603752,
            0.24195942282676697,
            0.20182505249977112,
            0.1924000345170498,
            0.22257358580827713,
            0.26893225684762,
            0.2164103426039219,
            0.2449309006333351,
            0.19109917059540749,
            0.20905227214097977,
            0.25105126202106476,
            0.26221567019820213,
            0.22204376012086868,
            0.2121850550174713,
            0.20354052260518074,
            0.18593407422304153,
            0.21433307230472565,
            0.21206535026431084,
            0.19996214658021927,
            0.2095472253859043,
            0.2122369259595871,
            0.19768613204360008,
            0.18256830796599388,
            0.23028339445590973,
            0.21484189108014107,
            0.21354981884360313,
            0.19763759151101112,
            0.21480442956089973,
            0.19444338604807854,
            0.2150798812508583,
            0.19373983144760132,
            0.18875908106565475,
            0.17967652529478073,
            0.21032090112566948,
            0.19985496625304222,
            0.19891202822327614,
            0.20037804916501045,
            0.1933702826499939,
            0.20262278988957405,
            0.17834866791963577,
            0.20336805656552315,
            0.2026151306927204,
            0.20291516557335854,
            0.18034299835562706,
            0.14651546627283096,
            0.17537686973810196,
            0.13323848322033882,
            0.15986241400241852,
            0.18124203383922577,
            0.19432271271944046,
            0.20814263075590134,
            0.18528122454881668,
            0.18248383328318596,
            0.19320755451917648,
            0.21316542476415634,
            0.19643914327025414,
            0.16961386427283287,
            0.14096461609005928,
            0.16472721844911575,
            0.19257807359099388,
            0.17682616785168648,
            0.15328610874712467,
            0.19816389679908752,
            0.19288023188710213,
            0.19425062462687492,
            0.18178195506334305,
            0.18657449632883072,
            0.19314566627144814,
            0.1887061893939972,
            0.17020838893949986,
            0.17301451414823532,
            0.17640816420316696,
            0.16391107439994812,
            0.15922692231833935,
            0.16631251573562622,
            0.15544494427740574,
            0.17153682187199593,
            0.15662815235555172,
            0.16666194051504135,
            0.15915535762906075,
            0.18181556835770607,
            0.20553265139460564,
            0.18900823965668678,
            0.15503810159862041,
            0.15218846686184406,
            0.11934491619467735,
            0.1563432477414608,
            0.16085311770439148,
            0.17401450499892235,
            0.16569498926401138,
            0.17843710631132126,
            0.16795245558023453,
            0.15570267289876938,
            0.17000222578644753,
            0.13138831220567226,
            0.18489453569054604,
            0.14592672139406204,
            0.17687731236219406,
            0.15737460181117058,
            0.15469374135136604,
            0.12239791452884674,
            0.18501361459493637,
            0.1586062591522932,
            0.17860426008701324,
            0.18230706825852394,
            0.15089941024780273,
            0.17106574773788452,
            0.17473960295319557,
            0.19094597920775414,
            0.1501673348248005,
            0.1854030340909958,
            0.12328374199569225,
            0.15134678594768047,
            0.14449965208768845,
            0.12447282299399376,
            0.17362326383590698,
            0.12075387500226498,
            0.18124141171574593,
            0.1599138341844082,
            0.15001115575432777,
            0.10091629810631275,
            0.1709795445203781,
            0.15186459012329578,
            0.16989097371697426,
            0.17475804314017296,
            0.09865173604339361,
            0.11443895287811756,
            0.13895159773528576,
            0.1450844369828701,
            0.19140271842479706,
            0.13930303044617176,
            0.1560429437085986,
            0.17549356818199158,
            0.16091164574027061,
            0.10220669955015182,
            0.13519337028265,
            0.11909505352377892,
            0.1229275381192565,
            0.1420058272778988,
            0.11428315751254559,
            0.12426458112895489,
            0.14813614822924137,
            0.11483663134276867,
            0.1816118024289608,
            0.12333084084093571,
            0.12288917973637581,
            0.17244385927915573,
            0.11988353915512562,
            0.1396405678242445,
            0.14946588315069675,
            0.10730567574501038,
            0.11343249306082726,
            0.17856891825795174,
            0.16598118469119072,
            0.10654210299253464,
            0.15669580455869436,
            0.1553356535732746,
            0.1573044639080763,
            0.11889417190104723,
            0.17522015050053596,
            0.15758155845105648,
            0.14311764761805534,
            0.13019482046365738,
            0.16001494228839874,
            0.18008022010326385,
            0.1753350868821144,
            0.14367262087762356,
            0.12748588994145393,
            0.08511457964777946,
            0.12371131964027882,
            0.17186734452843666,
            0.17652852460741997,
            0.10952453128993511,
            0.10784762911498547,
            0.17704931646585464,
            0.140859242528677,
            0.14356229361146688,
            0.17381761223077774,
            0.10616980399936438,
            0.17434408888220787,
            0.16743985936045647,
            0.16407296806573868,
            0.09570027329027653,
            0.14778102189302444,
            0.1815471388399601,
            0.18146194890141487,
            0.1759927049279213,
            0.11175398901104927,
            0.10732895135879517,
            0.17350996285676956,
            0.13925063703209162,
            0.09448025841265917,
            0.17258963361382484,
            0.08796880021691322,
            0.14271835330873728,
            0.1483384557068348,
            0.14417292550206184,
            0.14252050500363111,
            0.1679512895643711,
            0.12257192470133305,
            0.12398342788219452,
            0.09576207678765059,
            0.17229784652590752,
            0.14870696514844894,
            0.13758694101125002,
            0.15645593591034412,
            0.1188987921923399,
            0.1324058547616005,
            0.10769537277519703,
            0.12879242934286594,
            0.16871924698352814,
            0.13402327336370945,
            0.14278934337198734,
            0.049568694550544024,
            0.08806728199124336,
            0.09437483176589012,
            0.11326587107032537,
            0.14025798439979553,
            0.13280187919735909,
            0.13379310816526413,
            0.12162112724035978,
            0.1606258973479271,
            0.16547894105315208,
            0.10718800500035286,
            0.13890131749212742,
            0.17762693017721176,
            0.11305352300405502,
            0.14407296292483807,
            0.10057650413364172,
            0.16615352779626846,
            0.13428314961493015,
            0.11581375915557146,
            0.1447774302214384,
            0.1464679315686226,
            0.13707205280661583,
            0.09876025840640068,
            0.1392732337117195,
            0.17444070801138878,
            0.10228467173874378,
            0.12973854504525661,
            0.0669006290845573,
            0.14045501500368118,
            0.1659659408032894,
            0.13097916264086962,
            0.1392132705077529,
            0.10111780371516943,
            0.13724017422646284,
            0.10624646954238415,
            0.1594754494726658,
            0.10766906477510929,
            0.14651919715106487,
            0.08344363793730736,
            0.13803339935839176,
            0.09366320166736841,
            0.13938438519835472,
            0.16905972361564636,
            0.13435609359294176,
            0.11368163675069809,
            0.10612155683338642,
            0.1326539982110262,
            0.15793104097247124,
            0.1418642494827509,
            0.11317187827080488,
            0.10438148211687803,
            0.1251126378774643,
            0.08023157436400652,
            0.10740925185382366,
            0.08190228044986725,
            0.15377144888043404,
            0.1429308345541358,
            0.16477298364043236,
            0.11445882357656956,
            0.1115371398627758,
            0.13694064691662788,
            0.13615695480257273,
            0.18072335049510002,
            0.12056003790348768,
            0.0745890662074089,
            0.1120535684749484,
            0.1664305292069912,
            0.09687626641243696,
            0.10499255545437336,
            0.06474666204303503,
            0.16371963545680046,
            0.15130895748734474,
            0.14915413782000542,
            0.13817912340164185,
            0.11072514299303293,
            0.12988541182130575,
            0.15078615956008434,
            0.16807826235890388,
            0.08029734902083874,
            0.11431419104337692,
            0.11799869127571583,
            0.14240155555307865,
            0.15392105653882027,
            0.14318337012082338,
            0.1090980339795351,
            0.12170611880719662,
            0.15665877982974052,
            0.16136981546878815,
            0.1640331819653511,
            0.16221413761377335,
            0.10001861210912466,
            0.14452180452644825,
            0.1324833482503891,
            0.1364763341844082,
            0.09875745140016079,
            0.12722142599523067,
            0.16611812263727188,
            0.09844517428427935,
            0.15243509970605373,
            0.1425388902425766,
            0.13031567260622978,
            0.10792620293796062,
            0.1273088762536645,
            0.11110544856637716,
            0.1594153232872486,
            0.13124051969498396,
            0.12741121277213097,
            0.1633148118853569,
            0.09879296831786633,
            0.09612733917310834,
            0.1286221705377102
          ],
          "eval": {
            "diffusion_16": {
              "iterations": [
                25,
                28,
                28,
                23,
                26,
                27,
                23,
                28,
                29,
                28,
                31,
                25,
                29,
                30,
                32,
                28,
                29,
                29,
                28,
                27
              ],
              "converged": [
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true
              ],
              "final_residuals": [
                8.439087436932259e-07,
                5.620487590444203e-07,
                7.964755028137373e-07,
                9.947487724128782e-07,
                6.41494078654283e-07,
                8.335101031648857e-07,
                9.803030587295122e-07,
                9.166490759455046e-07,
                9.078313164990469e-07,
                8.134095451272668e-07,
                8.254928582360203e-07,
                9.827586518242695e-07,
                6.979932699290299e-07,
                8.389137081601409e-07,
                6.750347614439259e-07,
                9.424651543994674e-07,
                6.132322879035042e-07,
                6.166875004628254e-07,
                7.744734290401593e-07,
                8.448631423560858e-07
              ],
              "solve_times": [
                0.2872890759999791,
                0.3318821489999664,
                0.33349316900012127,
                0.26800627800002985,
                0.3036852820000604,
                0.3361899799999719,
                0.27493297399996663,
                0.3290899090000039,
                0.3461592470000596,
                0.3339577869999175,
                0.36996052099993904,
                0.284828583000035,
                0.351364144000172,
                0.3595477980002215,
                0.3795406130000174,
                0.3369711400000597,
                0.3433435960000679,
                0.3447031690000131,
                0.3301854320000075,
                0.31560549900018486
              ],
              "avg_iterations": 27.65,
              "convergence_rate": 1.0
            },
            "diffusion_24": {
              "iterations": [
                37,
                40,
                40,
                45,
                38,
                38,
                42,
                34,
                45,
                41,
                42,
                40,
                41,
                42,
                37,
                37,
                46,
                40,
                36,
                42
              ],
              "converged": [
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true
              ],
              "final_residuals": [
                9.429095930808813e-07,
                9.79783564424274e-07,
                9.512489941826482e-07,
                9.82482818577122e-07,
                9.589939182286597e-07,
                7.901012829518964e-07,
                8.161922381536544e-07,
                8.134001683020896e-07,
                9.980604298129936e-07,
                9.478566574514217e-07,
                9.852873314376107e-07,
                9.086296580504362e-07,
                8.495102800796789e-07,
                9.76802199234224e-07,
                8.816337136919478e-07,
                9.530137281694416e-07,
                8.524087340950964e-07,
                7.901103597358229e-07,
                9.927789102871863e-07,
                9.767416687781559e-07
              ],
              "solve_times": [
                0.4286818499999754,
                0.45926711899983275,
                0.4662301070002286,
                0.5353066380002929,
                0.4448167089999515,
                0.45622066199985056,
                0.4727679799998441,
                0.40111057700005404,
                0.513219477000348,
                0.469013879999693,
                0.4795924009999908,
                0.46471064900015335,
                0.4673026420000497,
                0.4811663150003369,
                0.4274318550001226,
                0.42741985800012117,
                0.5321953780003241,
                0.4571446200002356,
                0.41634483400002864,
                0.4779645070002516
              ],
              "avg_iterations": 40.15,
              "convergence_rate": 1.0
            },
            "diffusion_32": {
              "iterations": [
                48,
                58,
                51,
                47,
                49,
                48,
                49,
                52,
                54,
                52,
                48,
                49,
                42,
                52,
                46,
                46,
                45,
                41,
                43,
                50
              ],
              "converged": [
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true
              ],
              "final_residuals": [
                9.89919819830508e-07,
                8.80485402296311e-07,
                8.084556527365308e-07,
                9.899401467779337e-07,
                9.60310839817383e-07,
                9.490696241575555e-07,
                9.174729444906659e-07,
                8.88334355581345e-07,
                9.390925033239249e-07,
                9.32716931026139e-07,
                9.637138058864289e-07,
                9.748219234454214e-07,
                9.500863637658346e-07,
                9.738085356593487e-07,
                7.604264889553725e-07,
                9.249195099667604e-07,
                8.014070577894397e-07,
                9.480142429711863e-07,
                8.645706246149807e-07,
                8.950035355504056e-07
              ],
              "solve_times": [
                0.570608545000141,
                0.7110989329999029,
                0.6087829520001833,
                0.5621518349998951,
                0.5823689109997758,
                0.5729440289997001,
                0.5856405509998694,
                0.6286201060001986,
                0.6640847979997488,
                0.6298302499999409,
                0.5668950180001957,
                0.5940923410003052,
                0.49594534399966506,
                0.6272287750002761,
                0.5451239750000241,
                0.5569653669999752,
                0.5322591289996126,
                0.4943414889999076,
                0.5162541099998634,
                0.6020286879997911
              ],
              "avg_iterations": 48.5,
              "convergence_rate": 1.0
            },
            "diffusion_48": {
              "iterations": [
                59,
                53,
                70,
                61,
                65,
                60,
                65,
                62,
                63,
                59,
                61,
                65,
                67,
                63,
                69,
                58,
                69,
                57,
                59,
                56
              ],
              "converged": [
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true
              ],
              "final_residuals": [
                8.893786908304183e-07,
                9.140853057626151e-07,
                9.499118664393775e-07,
                9.488033983214946e-07,
                9.54571494149447e-07,
                9.510417595742939e-07,
                9.973618246321032e-07,
                9.428634759607838e-07,
                9.86381910903818e-07,
                9.06643647972793e-07,
                9.711691559055474e-07,
                9.488972692693324e-07,
                9.612504265532385e-07,
                9.667954936245348e-07,
                9.750060997194543e-07,
                9.316463123253797e-07,
                9.412612173457902e-07,
                8.986052802767747e-07,
                9.023776478130992e-07,
                9.84090358834016e-07
              ],
              "solve_times": [
                0.7914471999997659,
                0.6506075869997403,
                0.8458806849998837,
                0.752361091000239,
                0.8004410739999912,
                0.7529419809998217,
                0.7917656879999413,
                0.7629677909999373,
                0.7703385210002125,
                0.7238075750001371,
                0.760765875999823,
                0.7909232469996823,
                0.8396176619999096,
                0.7726098910002293,
                0.8507545629995548,
                0.7384037849997185,
                0.8362272160002249,
                0.6947201650000352,
                0.7339499340000657,
                0.6863933549998364
              ],
              "avg_iterations": 62.05,
              "convergence_rate": 1.0
            },
            "advection_16": {
              "iterations": [
                26,
                28,
                25,
                25,
                29,
                28,
                26,
                27,
                26,
                24,
                27,
                29,
                25,
                28,
                30,
                26,
                29,
                25,
                55,
                27
              ],
              "converged": [
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true
              ],
              "final_residuals": [
                9.750712414531387e-07,
                5.831537983994922e-07,
                8.959411445574354e-07,
                9.572569853272006e-07,
                6.590466371700061e-07,
                7.978275682508409e-07,
                8.375490823066332e-07,
                7.799865571682185e-07,
                9.73399533593235e-07,
                9.278890547036425e-07,
                7.97157017230628e-07,
                8.374285437373661e-07,
                5.838432873291667e-07,
                8.74663668086975e-07,
                7.731996292622456e-07,
                7.649389141228324e-07,
                8.45968221898175e-07,
                6.558698279240043e-07,
                9.758426748502668e-07,
                9.610730879464436e-07
              ],
              "solve_times": [
                0.30258655400029966,
                0.3497035959999266,
                0.28544920700005605,
                0.2851483899999039,
                0.3458985699999175,
                0.32267406699975254,
                0.2963024119999318,
                0.31678609799973856,
                0.2999636240001564,
                0.27173892400014665,
                0.31224334400030784,
                0.3416205620001165,
                0.28361579500005973,
                0.3286750540000867,
                0.37377732999993896,
                0.30025539500002196,
                0.34211783199998536,
                0.28727644700029487,
                0.6336383269999715,
                0.31817113900024196
              ],
              "avg_iterations": 28.25,
              "convergence_rate": 1.0
            },
            "advection_24": {
              "iterations": [
                48,
                35,
                40,
                38,
                46,
                37,
                34,
                40,
                44,
                40,
                45,
                35,
                35,
                43,
                41,
                42,
                38,
                37,
                38,
                39
              ],
              "converged": [
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true
              ],
              "final_residuals": [
                8.791193383028984e-07,
                9.430044901522167e-07,
                8.918034955829236e-07,
                9.109214010845472e-07,
                9.420956772648464e-07,
                8.206472698602154e-07,
                9.457347048403169e-07,
                9.264040980044575e-07,
                9.183049946072658e-07,
                9.273780350351859e-07,
                8.495532634546818e-07,
                9.702271396156472e-07,
                8.561224358809067e-07,
                9.161915672217153e-07,
                9.029789529270851e-07,
                8.832306751300223e-07,
                9.439069492860194e-07,
                9.237728677205356e-07,
                9.956178860202468e-07,
                8.496467298623442e-07
              ],
              "solve_times": [
                0.5520432630000869,
                0.4048856950003028,
                0.4623529430000417,
                0.4384778059998098,
                0.5268945460002215,
                0.4211590290001368,
                0.4413025320000088,
                0.45455482699981076,
                0.5059045329999208,
                0.45753393800032427,
                0.5383831120002469,
                0.408333981999931,
                0.42648271600000953,
                0.4927266729996518,
                0.4695922710002378,
                0.48033393099967725,
                0.43423256799997034,
                0.4259796249998544,
                0.4324305580003056,
                0.4573067739997896
              ],
              "avg_iterations": 39.75,
              "convergence_rate": 1.0
            },
            "advection_32": {
              "iterations": [
                46,
                43,
                46,
                51,
                52,
                44,
                50,
                53,
                46,
                49,
                50,
                49,
                49,
                57,
                48,
                53,
                48,
                48,
                46,
                52
              ],
              "converged": [
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true
              ],
              "final_residuals": [
                9.362029285296071e-07,
                9.315019593143478e-07,
                9.68352476110221e-07,
                9.225017987154682e-07,
                8.406292007730836e-07,
                9.719690284771231e-07,
                9.914107943151694e-07,
                9.665334145124558e-07,
                8.738893286323716e-07,
                9.70948128290737e-07,
                8.7758557322109e-07,
                9.80196963682247e-07,
                8.720396565252549e-07,
                9.7619907710987e-07,
                9.664986334261014e-07,
                9.439232104951855e-07,
                8.81874230465114e-07,
                8.481539374395363e-07,
                9.459538351117597e-07,
                8.412912107282978e-07
              ],
              "solve_times": [
                0.5494863640001313,
                0.5319774460003828,
                0.5472278309998728,
                0.646337881999898,
                0.6648099349999939,
                0.5254642720001357,
                0.6041571689997909,
                0.6381542409999383,
                0.5621840720000364,
                0.5916377710000233,
                0.6022402700000384,
                0.5922673079999186,
                0.585084186000131,
                0.6923210899999503,
                0.5740505009998742,
                0.6425675199998295,
                0.5741803470000377,
                0.5712207219999073,
                0.5514827689999038,
                0.6243304730001
              ],
              "avg_iterations": 49.0,
              "convergence_rate": 1.0
            },
            "advection_48": {
              "iterations": [
                60,
                61,
                58,
                61,
                60,
                55,
                56,
                59,
                66,
                70,
                63,
                54,
                58,
                61,
                59,
                61,
                55,
                64,
                76,
                64
              ],
              "converged": [
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true
              ],
              "final_residuals": [
                9.425961605632719e-07,
                9.68568324631614e-07,
                8.727926304504281e-07,
                9.88535293091872e-07,
                9.275401543765341e-07,
                9.941790316379962e-07,
                9.516219448483949e-07,
                9.181162826880824e-07,
                9.934332599746073e-07,
                9.507059956933814e-07,
                9.10772070380285e-07,
                8.902183244779024e-07,
                9.322741179715068e-07,
                9.803553441987455e-07,
                9.341945232943639e-07,
                9.728107097628127e-07,
                9.159064354690436e-07,
                9.97746953250823e-07,
                9.786102827844407e-07,
                9.800085340649265e-07
              ],
              "solve_times": [
                0.744688338999822,
                0.7740905770001518,
                0.7148195469999337,
                0.7405041080000956,
                0.7494054429998869,
                0.6689969750000273,
                0.6903741159999299,
                0.7418863429998055,
                0.841464423999696,
                0.8640917919997264,
                0.782630059999974,
                0.671908225000152,
                0.7175724300000184,
                0.7536759849999726,
                0.74848032600039,
                0.7493428299999323,
                0.6693781710000621,
                0.7892510160004349,
                0.9192305839997061,
                0.7866451840000082
              ],
              "avg_iterations": 61.05,
              "convergence_rate": 1.0
            },
            "graph_laplacian_16": {
              "iterations": [
                6,
                6,
                6,
                6,
                6,
                6,
                6,
                7,
                6,
                6,
                6,
                6,
                6,
                6,
                6,
                6,
                7,
                7,
                6,
                7
              ],
              "converged": [
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true
              ],
              "final_residuals": [
                6.042679276265159e-07,
                5.317366199703114e-07,
                5.07075951307744e-07,
                1.2203019447125012e-07,
                5.376027297715704e-07,
                6.355429832537394e-07,
                2.46462524484968e-07,
                7.352326456468271e-08,
                9.582786384559295e-07,
                5.693072613043551e-07,
                3.5021763934644514e-07,
                5.760116381324302e-07,
                8.717410567607734e-07,
                1.7828141694051408e-07,
                3.027098514618163e-07,
                3.8548852214060395e-07,
                8.633639397844386e-08,
                1.1336815172067256e-07,
                2.1153325481734848e-07,
                9.156327000655163e-08
              ],
              "solve_times": [
                0.06388274499977342,
                0.062161450000076,
                0.06127407499980109,
                0.061388520000036806,
                0.06180023699971571,
                0.06169186199986143,
                0.06147742500024833,
                0.07173136499977772,
                0.06193171099994288,
                0.06237230200031263,
                0.06145266700013963,
                0.06125193700017917,
                0.06374811200021213,
                0.06125497799985169,
                0.06116304399984074,
                0.06478920600011406,
                0.0744866230002117,
                0.07135241000014503,
                0.061314002000017354,
                0.07113348600023528
              ],
              "avg_iterations": 6.2,
              "convergence_rate": 1.0
            },
            "graph_laplacian_24": {
              "iterations": [
                6,
                6,
                6,
                6,
                6,
                6,
                6,
                6,
                6,
                6,
                6,
                6,
                6,
                6,
                6,
                6,
                6,
                6,
                6,
                6
              ],
              "converged": [
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true
              ],
              "final_residuals": [
                7.466285343907076e-07,
                4.670318568112538e-07,
                8.997923122237535e-07,
                2.651951169175653e-07,
                2.3187761242685048e-07,
                6.887758742857852e-07,
                3.70691791489511e-07,
                2.2862136803199895e-07,
                5.195585574365976e-07,
                3.4428511247814213e-07,
                3.169386432313879e-07,
                1.950214256679491e-07,
                6.438144483378288e-07,
                6.04279229723006e-07,
                8.30115839407218e-07,
                3.692624085636618e-07,
                5.145906171928012e-07,
                3.641587241766179e-07,
                3.5009146124800155e-07,
                7.034332039967172e-07
              ],
              "solve_times": [
                0.06265241999972204,
                0.06460941199975423,
                0.06476636799970947,
                0.06732023299991852,
                0.06161522699994748,
                0.06456440000010844,
                0.06403193399955853,
                0.06138370799999393,
                0.06413572500014197,
                0.06166308499996376,
                0.06125293700006296,
                0.06413073699968663,
                0.06396054400011053,
                0.06385423500023535,
                0.06123819399999775,
                0.06231066700001975,
                0.06475850600008926,
                0.07054967800013401,
                0.0675938579997819,
                0.06546127699994031
              ],
              "avg_iterations": 6.0,
              "convergence_rate": 1.0
            },
            "graph_laplacian_32": {
              "iterations": [
                6,
                6,
                6,
                6,
                6,
                6,
                6,
                6,
                6,
                6,
                6,
                6,
                6,
                6,
                6,
                6,
                6,
                6,
                6,
                6
              ],
              "converged": [
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true
              ],
              "final_residuals": [
                5.650377539110998e-07,
                3.390923685622616e-07,
                2.3619702178871913e-07,
                6.071272873587024e-07,
                5.423446085146741e-07,
                5.822718594514482e-07,
                4.037932887404823e-07,
                5.781753604811277e-07,
                4.163422426342031e-07,
                5.069211747897995e-07,
                5.84682172501845e-07,
                3.6160179655047243e-07,
                5.250975007104909e-07,
                4.956308003335736e-07,
                4.3342719018319264e-07,
                4.1636370856185104e-07,
                4.842735566221083e-07,
                4.84829721679029e-07,
                2.6996951256363304e-07,
                4.627184738339434e-07
              ],
              "solve_times": [
                0.06517409399975804,
                0.06465443899969614,
                0.06550874699996712,
                0.06456240299985438,
                0.06479699299961794,
                0.0650761980000425,
                0.06476541100028044,
                0.06446522800024468,
                0.06460149800022918,
                0.06438642100010838,
                0.06474533699974927,
                0.06446397099989554,
                0.06508201200040276,
                0.06823016599992116,
                0.06436175900034868,
                0.06451299500031382,
                0.06468723999978465,
                0.06447984599981282,
                0.06423406799967779,
                0.06433492199994362
              ],
              "avg_iterations": 6.0,
              "convergence_rate": 1.0
            },
            "graph_laplacian_48": {
              "iterations": [
                6,
                6,
                6,
                6,
                6,
                6,
                6,
                6,
                6,
                6,
                6,
                6,
                6,
                6,
                6,
                6,
                6,
                6,
                6,
                6
              ],
              "converged": [
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true
              ],
              "final_residuals": [
                3.3736091953553785e-07,
                4.152814817545544e-07,
                4.475780149744737e-07,
                3.2042524932786966e-07,
                2.1156135062497267e-07,
                2.2037165945411558e-07,
                3.946660533842115e-07,
                3.7702128667471556e-07,
                3.108397973514696e-07,
                1.9716845650250414e-07,
                4.438307468090591e-07,
                4.289784678456401e-07,
                3.933549935988214e-07,
                3.757099757353013e-07,
                4.0185944209860047e-07,
                3.9382274711508237e-07,
                3.53040420579598e-07,
                4.679152468512126e-07,
                3.199744314370661e-07,
                3.7184323951673946e-07
              ],
              "solve_times": [
                0.06505145299979631,
                0.06443525200029399,
                0.06415200199990068,
                0.06422036399999342,
                0.06593134600007033,
                0.06993377499975395,
                0.06650217000014891,
                0.06551276400023198,
                0.06549332899976434,
                0.06537267100020472,
                0.0650974310001402,
                0.06462012200017853,
                0.065071486999841,
                0.06498089599972445,
                0.06487311400042017,
                0.06496649900009288,
                0.0649695970000721,
                0.0652406020003582,
                0.06503668999994261,
                0.06560706699974617
              ],
              "avg_iterations": 6.0,
              "convergence_rate": 1.0
            }
          }
        },
        {
          "name": "MPNN",
          "param_count": 15426,
          "train_time": 52.85773778499993,
          "train_history": [
            0.8093460947275162,
            0.8002568632364273,
            0.7946861088275909,
            0.7860847115516663,
            0.7906290292739868,
            0.773890808224678,
            0.7700061202049255,
            0.7711670249700546,
            0.7293110638856888,
            0.7417300492525101,
            0.7241079658269882,
            0.6749522238969803,
            0.6518145799636841,
            0.7143510431051254,
            0.6719111502170563,
            0.6153154820203781,
            0.6389559954404831,
            0.6247911006212234,
            0.6724811792373657,
            0.678751215338707,
            0.5781530737876892,
            0.659931018948555,
            0.6463705375790596,
            0.6475630030035973,
            0.625620886683464,
            0.6425797119736671,
            0.5464115515351295,
            0.7196406498551369,
            0.45773428678512573,
            0.7218947112560272,
            0.5071433782577515,
            0.49020130187273026,
            0.707998089492321,
            0.512613981962204,
            0.5848704352974892,
            0.4758235886693001,
            0.46428827196359634,
            0.37022173404693604,
            0.359313003718853,
            0.44705088436603546,
            0.4440525770187378,
            0.33029593527317047,
            0.5631729289889336,
            0.3164157122373581,
            0.5560018792748451,
            0.676191657781601,
            0.32760025560855865,
            0.5464354306459427,
            0.6778865680098534,
            0.6689291968941689,
            0.41638341546058655,
            0.28602634370326996,
            0.41191571950912476,
            0.4022163972258568,
            0.5455340147018433,
            0.533867672085762,
            0.4028652496635914,
            0.3861832320690155,
            0.398405522108078,
            0.2380836457014084,
            0.2387622706592083,
            0.5142557397484779,
            0.5300618931651115,
            0.37639469280838966,
            0.5135285742580891,
            0.5303772985935211,
            0.36910945177078247,
            0.36344627663493156,
            0.36709703505039215,
            0.6425383910536766,
            0.5120609737932682,
            0.5120013430714607,
            0.3609127178788185,
            0.3700605295598507,
            0.5159675665199757,
            0.34864525496959686,
            0.37067990005016327,
            0.3623718209564686,
            0.4995906837284565,
            0.5011902153491974,
            0.35787394642829895,
            0.6457996182143688,
            0.3653598986566067,
            0.34541022032499313,
            0.3685942254960537,
            0.49991410225629807,
            0.21273795887827873,
            0.48484940454363823,
            0.5058309957385063,
            0.3530045673251152,
            0.5032839924097061,
            0.49978866800665855,
            0.3541831523180008,
            0.5084873586893082,
            0.197003535926342,
            0.6403985172510147,
            0.5125770084559917,
            0.34485849365592003,
            0.33259114995598793,
            0.4905611611902714,
            0.49006107822060585,
            0.48867543414235115,
            0.4872315786778927,
            0.34766898676753044,
            0.3449534624814987,
            0.19262578710913658,
            0.3404392749071121,
            0.6335592232644558,
            0.19228066504001617,
            0.4854167103767395,
            0.780139684677124,
            0.34664686769247055,
            0.194172665476799,
            0.3278328701853752,
            0.1854596957564354,
            0.4768291190266609,
            0.19681785628199577,
            0.6259990856051445,
            0.4841996915638447,
            0.4783053360879421,
            0.33445628359913826,
            0.18119879439473152,
            0.3358560688793659,
            0.3406933769583702,
            0.34358419477939606,
            0.5180848725140095,
            0.1883564181625843,
            0.20675943419337273,
            0.3402126729488373,
            0.46186641603708267,
            0.2168147675693035,
            0.4883427880704403,
            0.3250201977789402,
            0.19146712869405746,
            0.467286117374897,
            0.18657541647553444,
            0.18291456252336502,
            0.322717759758234,
            0.19935525208711624,
            0.34036192670464516,
            0.1721934899687767,
            0.4611572399735451,
            0.44686251878738403,
            0.30785471946001053,
            0.17761504277586937,
            0.17911872267723083,
            0.4579176567494869,
            0.3164704330265522,
            0.45942509919404984,
            0.16891595348715782,
            0.4474422410130501,
            0.4466659389436245,
            0.5964233353734016,
            0.17639519646763802,
            0.4529721513390541,
            0.32280994951725006,
            0.30267003551125526,
            0.3355545327067375,
            0.4403715878725052,
            0.3253559581935406,
            0.4680246487259865,
            0.31000130623579025,
            0.46918514743447304,
            0.3230157792568207,
            0.31557706370949745,
            0.3077079653739929,
            0.4360850565135479,
            0.32831841334700584,
            0.32104992866516113,
            0.44875483959913254,
            0.30663837864995,
            0.32513755187392235,
            0.43922601267695427,
            0.17175056412816048,
            0.16942968219518661,
            0.43757669255137444,
            0.17284511029720306,
            0.30019301921129227,
            0.28981392830610275,
            0.42778896167874336,
            0.17990446835756302,
            0.2935594320297241,
            0.28991303220391273,
            0.4116818904876709,
            0.5607415251433849,
            0.5517862290143967,
            0.29964248090982437,
            0.29871532693505287,
            0.17446986958384514,
            0.31662918999791145,
            0.30983715131878853,
            0.28709402680397034,
            0.30075402557849884,
            0.2880336456000805,
            0.28260811418294907,
            0.308322936296463,
            0.41995687410235405,
            0.299576710909605,
            0.4326411597430706,
            0.30403121188282967,
            0.2935230955481529,
            0.2775298282504082,
            0.17507488653063774,
            0.2809607610106468,
            0.407248180359602,
            0.4010140933096409,
            0.27521655708551407,
            0.29048943519592285,
            0.3987417593598366,
            0.4005915969610214,
            0.28430604189634323,
            0.28532814234495163,
            0.17043178156018257,
            0.17383721843361855,
            0.4378836378455162,
            0.3998964764177799,
            0.2779184579849243,
            0.17251970246434212,
            0.42464296519756317,
            0.29856308177113533,
            0.36770907416939735,
            0.35652780160307884,
            0.3748754970729351,
            0.1773894652724266,
            0.25608713179826736,
            0.36482883989810944,
            0.43792419135570526,
            0.29322992265224457,
            0.3697301633656025,
            0.3542650304734707,
            0.40012428909540176,
            0.4290092960000038,
            0.25112708285450935,
            0.2032901681959629,
            0.35190000385046005,
            0.2693563401699066,
            0.2537517063319683,
            0.23844023421406746,
            0.4219413846731186,
            0.24980730935931206,
            0.4307173863053322,
            0.1833280362188816,
            0.25600022822618484,
            0.3400155268609524,
            0.25645066052675247,
            0.32568420842289925,
            0.3249862380325794,
            0.25808635726571083,
            0.2485332004725933,
            0.4217795245349407,
            0.20018349587917328,
            0.2686849273741245,
            0.3981160745024681,
            0.19016914442181587,
            0.18195239827036858,
            0.31048858910799026,
            0.20374520868062973,
            0.32264265790581703,
            0.40650488063693047,
            0.3803381510078907,
            0.24307822436094284,
            0.31622520834207535,
            0.17764746025204659,
            0.16069349274039268,
            0.3631843440234661,
            0.18517304211854935,
            0.35661256313323975,
            0.25661471486091614,
            0.3048514649271965,
            0.23720726370811462,
            0.23653003573417664,
            0.22527270019054413,
            0.25050774961709976,
            0.2549377828836441,
            0.25446752831339836,
            0.38114821910858154,
            0.25471706315875053,
            0.23851695284247398,
            0.28233181685209274,
            0.22976238280534744,
            0.16508570685982704,
            0.2310386225581169,
            0.24680031836032867,
            0.28245681896805763,
            0.2791125811636448,
            0.18366296961903572,
            0.22516604512929916,
            0.26989494264125824,
            0.28377901017665863,
            0.2251490317285061,
            0.38989394903182983,
            0.2113121561706066,
            0.27362263947725296,
            0.24237503856420517,
            0.24401017278432846,
            0.26536235585808754,
            0.1961130052804947,
            0.21215330064296722,
            0.3173190914094448,
            0.20006348937749863,
            0.3034876361489296,
            0.3055127412080765,
            0.17366116866469383,
            0.21736565232276917,
            0.2002716287970543,
            0.273639228194952,
            0.17446384206414223,
            0.19274017587304115,
            0.2624395452439785,
            0.32934829220175743,
            0.2383567951619625,
            0.23123931512236595,
            0.28443533182144165,
            0.22277959063649178,
            0.28390316665172577,
            0.30128366127610207,
            0.22830109298229218,
            0.18945098295807838,
            0.26411738246679306,
            0.20294742286205292,
            0.30401379615068436,
            0.3651357665657997,
            0.17133336141705513,
            0.28109242767095566,
            0.16477013379335403,
            0.22586243972182274,
            0.2256747968494892,
            0.27876346185803413,
            0.2422148883342743,
            0.3056589663028717,
            0.2950870022177696,
            0.22205594554543495,
            0.22297007963061333,
            0.2305908314883709,
            0.20600448176264763,
            0.25894859060645103,
            0.1904727779328823,
            0.2656141556799412,
            0.23041671141982079,
            0.18201231211423874,
            0.2298593446612358,
            0.3027257062494755,
            0.28804878145456314,
            0.18716685473918915,
            0.22548271715641022,
            0.26044247671961784,
            0.167480930685997,
            0.1681738756597042,
            0.22052261233329773,
            0.251107394695282,
            0.26754941418766975,
            0.1669599488377571,
            0.2933199517428875,
            0.24323759227991104,
            0.16842874139547348,
            0.25435518845915794,
            0.19170089066028595,
            0.23302589356899261,
            0.2385624721646309,
            0.18979784473776817,
            0.2113456167280674,
            0.2044774293899536,
            0.15820515900850296,
            0.18422645330429077,
            0.20492927357554436,
            0.2803255058825016,
            0.18525461107492447,
            0.22516300529241562,
            0.2788570448756218,
            0.20292145758867264,
            0.28557639569044113,
            0.2401915192604065,
            0.19078077748417854,
            0.15989551693201065,
            0.15009881183505058,
            0.2678254172205925,
            0.22080326080322266,
            0.23472514748573303,
            0.27479540929198265,
            0.20147448778152466,
            0.23811424151062965,
            0.20023741200566292,
            0.21007537469267845,
            0.22696181014180183,
            0.261504415422678,
            0.21276706457138062,
            0.24027911946177483,
            0.23350880295038223,
            0.1736830472946167,
            0.20226022228598595,
            0.18260427191853523,
            0.2298228144645691,
            0.14991703629493713,
            0.2482007034122944,
            0.27528251707553864,
            0.22745316103100777,
            0.23169207572937012,
            0.2371184378862381,
            0.21944690123200417,
            0.21362806111574173,
            0.20205897465348244,
            0.2644422873854637,
            0.1761762723326683,
            0.21102402731776237,
            0.23378058522939682,
            0.1770705096423626,
            0.2284972183406353,
            0.22011889517307281,
            0.2516920194029808,
            0.19350284710526466,
            0.2501755394041538,
            0.2585969306528568,
            0.23137681558728218,
            0.1812192015349865,
            0.1873776577413082,
            0.2814902886748314,
            0.1931777261197567,
            0.1566874422132969,
            0.22274506837129593,
            0.20859476923942566,
            0.21976932883262634,
            0.21969961747527122,
            0.24396951124072075,
            0.22993594780564308,
            0.15926270186901093,
            0.3160496801137924,
            0.2384418249130249,
            0.23825226351618767,
            0.16473205015063286,
            0.17402615770697594,
            0.2483731023967266,
            0.19970587641000748,
            0.17011882737278938,
            0.176292072981596,
            0.1987009383738041,
            0.1788703054189682,
            0.1465410217642784,
            0.2177700661122799,
            0.17038319259881973,
            0.17340770363807678,
            0.22202404588460922,
            0.18947241082787514,
            0.17976897954940796,
            0.21537888795137405,
            0.19594760611653328,
            0.2125658132135868,
            0.1826723925769329,
            0.1836349293589592,
            0.19074857234954834,
            0.16238737851381302,
            0.16380992531776428,
            0.24205220490694046,
            0.19599280133843422,
            0.17459933832287788,
            0.21760030090808868,
            0.17858151718974113,
            0.17572082951664925,
            0.21842222660779953,
            0.18701299279928207,
            0.19231374561786652,
            0.21843336522579193,
            0.17176175490021706,
            0.18131516501307487,
            0.18196415901184082,
            0.21020089089870453,
            0.161732017993927,
            0.1713186353445053,
            0.19867395982146263,
            0.2113748900592327,
            0.195168636739254,
            0.14657487720251083,
            0.19943742454051971,
            0.17398065328598022,
            0.14296231046319008,
            0.1709139496088028,
            0.19425800070166588,
            0.16517477482557297,
            0.1677219122648239,
            0.17467573285102844,
            0.2208244539797306,
            0.20296350121498108,
            0.19178156554698944,
            0.19987313076853752,
            0.15771635249257088,
            0.15765711665153503,
            0.17358164489269257,
            0.22245506197214127,
            0.1711132861673832,
            0.16946132853627205,
            0.2162128910422325,
            0.2088465541601181,
            0.1840428039431572,
            0.1680724360048771,
            0.20786546543240547,
            0.19881819188594818,
            0.1743161827325821,
            0.18603770434856415,
            0.20260591059923172,
            0.19391772896051407,
            0.19817699491977692
          ],
          "eval": {
            "diffusion_16": {
              "iterations": [
                59,
                64,
                71,
                68,
                59,
                61,
                57,
                58,
                61,
                72,
                74,
                57,
                68,
                74,
                70,
                71,
                58,
                59,
                73,
                58
              ],
              "converged": [
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true
              ],
              "final_residuals": [
                9.298415476588011e-07,
                9.876561517657849e-07,
                9.55947023505387e-07,
                9.128299758318468e-07,
                9.317473384346362e-07,
                9.865466189665344e-07,
                9.419039626931814e-07,
                9.550597285127721e-07,
                9.5853921840748e-07,
                8.923764901652726e-07,
                9.880165917002077e-07,
                8.941370738974549e-07,
                8.789350291155278e-07,
                9.641702863221593e-07,
                9.183771469479892e-07,
                8.718449316353082e-07,
                9.662137947487788e-07,
                9.68190230055099e-07,
                8.95023954442255e-07,
                6.980930600022498e-07
              ],
              "solve_times": [
                0.6197788760000549,
                0.6326967180000338,
                0.7012509639998825,
                0.726743671000122,
                0.5884885670000131,
                0.629319932000044,
                0.5638720879999255,
                0.5733258539999042,
                0.6264292060000116,
                0.7208976500000972,
                0.7161711919998197,
                0.5616404709999188,
                0.6560779330000059,
                0.7740168550001272,
                0.6794660929999736,
                0.6886709010000232,
                0.5752348649998567,
                0.6128072010001233,
                0.7153671650000888,
                0.5749664620000203
              ],
              "avg_iterations": 64.6,
              "convergence_rate": 1.0
            },
            "diffusion_24": {
              "iterations": [
                81,
                88,
                76,
                94,
                104,
                88,
                105,
                89,
                115,
                86,
                96,
                104,
                90,
                91,
                100,
                102,
                91,
                97,
                82,
                98
              ],
              "converged": [
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true
              ],
              "final_residuals": [
                9.239322537163809e-07,
                9.802705195957999e-07,
                9.702899261798712e-07,
                9.843244735511654e-07,
                9.160900004833954e-07,
                9.532779780515427e-07,
                9.588940418552743e-07,
                8.435323346325334e-07,
                8.189631939698107e-07,
                9.393794371960035e-07,
                9.400701009428038e-07,
                8.858440669068872e-07,
                8.887391309790719e-07,
                9.416472867810112e-07,
                9.08199663669413e-07,
                9.052076939586015e-07,
                9.485249255372225e-07,
                9.62358261398518e-07,
                9.966015361312863e-07,
                9.9953023414944e-07
              ],
              "solve_times": [
                0.792399710999689,
                0.876573136999923,
                0.7473862480001117,
                0.9696157849998599,
                1.0205039709999255,
                0.8714248680003038,
                1.0238214060000246,
                0.8880042639998464,
                1.1541896530002305,
                0.8516210389998378,
                0.9467667220001204,
                1.0187473089999912,
                0.9058776759998182,
                0.9177370529996551,
                0.9890103679999811,
                0.9951931289997447,
                0.9083059459999276,
                0.9661759440000424,
                0.8032904280003095,
                0.979188927999985
              ],
              "avg_iterations": 93.85,
              "convergence_rate": 1.0
            },
            "diffusion_32": {
              "iterations": [
                141,
                139,
                111,
                103,
                101,
                117,
                107,
                128,
                120,
                110,
                113,
                134,
                103,
                108,
                113,
                175,
                140,
                100,
                90,
                141
              ],
              "converged": [
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true
              ],
              "final_residuals": [
                9.267808943516449e-07,
                9.53877903593301e-07,
                8.582288991998683e-07,
                9.635131951686748e-07,
                8.670577363660733e-07,
                9.886956926539217e-07,
                9.924851585739836e-07,
                9.468721933976222e-07,
                9.418789588439384e-07,
                9.531756402915538e-07,
                9.741461998671996e-07,
                9.747912254833246e-07,
                9.335756359378479e-07,
                9.618052687607723e-07,
                9.769440959346578e-07,
                9.679203704556526e-07,
                9.925124215115705e-07,
                9.937902952480985e-07,
                9.356866775451234e-07,
                9.356022493975815e-07
              ],
              "solve_times": [
                1.398864202000368,
                1.438134036000065,
                1.1226163609999276,
                1.0219239609996293,
                1.014559563000148,
                1.1775465149999036,
                1.0629209139997329,
                1.31350502100031,
                1.2181401420002658,
                1.0945158139998057,
                1.1193175009998413,
                1.3287804270003107,
                1.0047399560003214,
                1.078877016000206,
                1.1757641760000297,
                1.7449754869999197,
                1.4000545290000446,
                0.9930082460000449,
                0.9063396840001587,
                1.396616830000312
              ],
              "avg_iterations": 119.7,
              "convergence_rate": 1.0
            },
            "diffusion_48": {
              "iterations": [
                179,
                150,
                145,
                162,
                159,
                300,
                216,
                167,
                134,
                140,
                211,
                173,
                177,
                160,
                121,
                138,
                142,
                147,
                174,
                129
              ],
              "converged": [
                true,
                true,
                true,
                true,
                true,
                false,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true
              ],
              "final_residuals": [
                9.760705807824239e-07,
                9.899395738358393e-07,
                9.880550931894238e-07,
                9.846647075074685e-07,
                9.415305707240998e-07,
                5.914089283374029e-06,
                9.86408592713416e-07,
                9.85486321273507e-07,
                9.433565181615171e-07,
                9.568351796716824e-07,
                9.567476446335308e-07,
                9.679658731255649e-07,
                9.649853319493688e-07,
                9.768478362910587e-07,
                9.797198623179674e-07,
                9.841947826229309e-07,
                9.85535548219337e-07,
                9.785455339885772e-07,
                9.83234403409225e-07,
                9.409528246644279e-07
              ],
              "solve_times": [
                1.8172324039996965,
                1.5171126630002618,
                1.498916451000241,
                1.6205813030001082,
                1.6209192419996725,
                3.038762422000218,
                2.1706763329998466,
                1.692658150999705,
                1.3758805460001895,
                1.3964647020002303,
                2.153137372999936,
                1.7460222380000232,
                1.781077199000265,
                1.6256584009997823,
                1.2217815459998747,
                1.3723314580001897,
                1.4940412529999776,
                1.4849698660000286,
                1.7602493670001422,
                1.3190367579995836
              ],
              "avg_iterations": 166.2,
              "convergence_rate": 0.95
            },
            "advection_16": {
              "iterations": [
                79,
                70,
                63,
                300,
                300,
                300,
                300,
                300,
                300,
                300,
                300,
                77,
                300,
                300,
                300,
                300,
                300,
                300,
                300,
                300
              ],
              "converged": [
                true,
                true,
                true,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                true,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
              ],
              "final_residuals": [
                9.946548289120408e-07,
                9.972083071460923e-07,
                9.925610597555705e-07,
                1.5302797129077674e-06,
                1.4853147804963567e-05,
                5.965558020402448e-06,
                5.94448776947971e-06,
                6.764032911842769e-06,
                2.0223329825172453e-05,
                1.2892363956377748e-05,
                3.199478447389229e-06,
                9.952122174695711e-07,
                1.7446574743931035e-05,
                1.93266866071349e-05,
                3.6244901265094714e-06,
                3.1889251179805144e-06,
                1.9767042077876928e-05,
                3.744727241499333e-06,
                2.241652758937034e-05,
                8.056267969394623e-06
              ],
              "solve_times": [
                0.7707133330000033,
                0.6826263650000328,
                0.6269003649999831,
                3.017505317999621,
                3.018433422000271,
                3.0427687230003357,
                3.0257446000000527,
                3.0090803630000664,
                3.0306243879999784,
                3.0016001599997253,
                3.0627151600001525,
                0.75649808199978,
                2.9980933870001536,
                3.036682467999981,
                3.085577127000306,
                3.024166457999854,
                3.0105809350002346,
                3.0436917839997477,
                3.0575053830002616,
                3.0425699959996564
              ],
              "avg_iterations": 254.45,
              "convergence_rate": 0.2
            },
            "advection_24": {
              "iterations": [
                300,
                300,
                300,
                300,
                207,
                300,
                179,
                300,
                300,
                300,
                300,
                300,
                98,
                300,
                300,
                300,
                300,
                100,
                300,
                300
              ],
              "converged": [
                false,
                false,
                false,
                false,
                true,
                false,
                true,
                false,
                false,
                false,
                false,
                false,
                true,
                false,
                false,
                false,
                false,
                true,
                false,
                false
              ],
              "final_residuals": [
                2.360377039093736e-06,
                2.4962939979434895e-06,
                1.4074933230557277e-06,
                9.712780324151201e-06,
                9.821333830341561e-07,
                7.847723721860267e-06,
                9.998955646260596e-07,
                8.861773763752442e-06,
                1.2241753409016367e-05,
                2.9612144714027597e-06,
                7.931810568209186e-06,
                1.5205538971401263e-05,
                8.366291444868418e-07,
                7.547010079907138e-06,
                1.4075697534322135e-05,
                1.4779590064539195e-06,
                1.6674459167983726e-06,
                9.243740354093028e-07,
                1.6103326397531323e-06,
                8.241150280379686e-06
              ],
              "solve_times": [
                3.060090778000358,
                3.046530162000181,
                3.0122767920001934,
                3.0351828269999714,
                2.099707603999832,
                3.071181438000167,
                1.7970350609998604,
                3.022809190999851,
                3.069359416000225,
                3.036100680000345,
                3.0008622830000604,
                3.030538340000021,
                0.9672123820000706,
                3.0625812389998828,
                3.0799493250001433,
                3.0095818049999252,
                3.0332067680001273,
                1.0305396349999683,
                3.071185502999924,
                3.0259963929997866
              ],
              "avg_iterations": 269.2,
              "convergence_rate": 0.2
            },
            "advection_32": {
              "iterations": [
                300,
                88,
                300,
                300,
                90,
                112,
                300,
                300,
                142,
                300,
                116,
                300,
                300,
                300,
                300,
                108,
                194,
                300,
                300,
                300
              ],
              "converged": [
                false,
                true,
                false,
                false,
                true,
                true,
                false,
                false,
                true,
                false,
                true,
                false,
                false,
                false,
                false,
                true,
                true,
                false,
                false,
                false
              ],
              "final_residuals": [
                2.15661307459177e-06,
                9.258721987691195e-07,
                5.047717092568302e-06,
                7.26608325915201e-06,
                9.47600281426817e-07,
                9.756956144014045e-07,
                1.7493941064102652e-06,
                5.25773238516982e-06,
                9.990275164540437e-07,
                6.839951220903429e-06,
                9.774627493285245e-07,
                5.888957698131562e-06,
                1.8212227209181948e-06,
                3.105559568273678e-06,
                1.910249147594415e-06,
                9.920848001493884e-07,
                9.975026866663947e-07,
                1.6932696137071365e-06,
                6.490920935342717e-06,
                5.022736104306225e-06
              ],
              "solve_times": [
                3.084194742999898,
                0.8914112389998081,
                3.070547217999774,
                3.053148731999954,
                0.9132326730000386,
                1.1201467529999718,
                3.057519614999819,
                3.0241954729999634,
                1.4138556769999013,
                3.0253211100002773,
                1.2066352490001009,
                3.0619107970001096,
                3.0479946150003343,
                3.040285552000114,
                3.1099493910001,
                1.0982745960000102,
                1.947775669999828,
                3.040109994999966,
                3.076188317999822,
                3.040052856999864
              ],
              "avg_iterations": 237.5,
              "convergence_rate": 0.35
            },
            "advection_48": {
              "iterations": [
                300,
                129,
                300,
                300,
                181,
                300,
                132,
                300,
                168,
                300,
                300,
                170,
                286,
                156,
                300,
                300,
                300,
                300,
                195,
                173
              ],
              "converged": [
                false,
                true,
                false,
                false,
                true,
                false,
                true,
                false,
                true,
                false,
                false,
                true,
                true,
                true,
                false,
                false,
                false,
                false,
                true,
                true
              ],
              "final_residuals": [
                1.4532383299875791e-06,
                9.858454156460833e-07,
                2.273713176646588e-06,
                2.1035982510302376e-06,
                9.421864929683191e-07,
                1.0367552532997575e-06,
                9.919574029812754e-07,
                3.0718209395962746e-06,
                9.98872532310932e-07,
                1.2535798117279277e-06,
                2.6802785932818804e-06,
                9.7495079229384e-07,
                9.934725856546433e-07,
                9.784068650692122e-07,
                2.361991549202002e-06,
                2.8713763019798e-06,
                1.1700224396915994e-06,
                1.953623121545197e-06,
                9.916781466640146e-07,
                9.995827472698112e-07
              ],
              "solve_times": [
                3.0592588599997725,
                1.3143182509998041,
                3.0609144560003188,
                3.070721188999869,
                1.8426768239996818,
                3.083716254999672,
                1.3186543470001197,
                3.0539769000001797,
                1.6893704180001805,
                3.0607918870000503,
                3.0461825519996637,
                1.7129456600000594,
                2.9608431329997984,
                1.5623945249999451,
                3.0412073679999594,
                3.0506727160000082,
                3.0522941909998735,
                3.059177006000027,
                1.9351759060000404,
                1.7345874249999724
              ],
              "avg_iterations": 244.5,
              "convergence_rate": 0.45
            },
            "graph_laplacian_16": {
              "iterations": [
                38,
                39,
                48,
                29,
                30,
                52,
                40,
                46,
                55,
                46,
                42,
                84,
                51,
                53,
                51,
                43,
                83,
                39,
                46,
                50
              ],
              "converged": [
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true
              ],
              "final_residuals": [
                6.587761486595889e-07,
                9.479783221159131e-07,
                6.928462261992866e-07,
                9.18614760919465e-07,
                8.536550804321689e-07,
                8.572586419206229e-07,
                9.917060954159293e-07,
                6.860060877240729e-07,
                7.059604593464447e-07,
                7.581700849660853e-07,
                8.40647413161333e-07,
                9.681813621754644e-07,
                4.5432525962450154e-07,
                7.043067653343267e-07,
                5.453136802158145e-07,
                9.519903788875504e-07,
                9.651411264346454e-07,
                9.71455252586451e-07,
                7.993087589135981e-07,
                9.907379640560013e-07
              ],
              "solve_times": [
                0.36751919200014527,
                0.37457650199985437,
                0.46049659299978885,
                0.2892336879999675,
                0.3303389109996715,
                0.5023534980000477,
                0.38137789299980795,
                0.4385326139999961,
                0.5558540339998217,
                0.4445577900000899,
                0.3925368770001114,
                0.8200413609997668,
                0.4885901059997195,
                0.5139567659998647,
                0.4930574609998075,
                0.40909298499991564,
                0.820211289999861,
                0.3707428110001274,
                0.45280894999996235,
                0.48587977700026386
              ],
              "avg_iterations": 48.25,
              "convergence_rate": 1.0
            },
            "graph_laplacian_24": {
              "iterations": [
                83,
                300,
                300,
                300,
                56,
                300,
                300,
                78,
                300,
                293,
                86,
                300,
                300,
                300,
                57,
                76,
                300,
                300,
                300,
                300
              ],
              "converged": [
                true,
                false,
                false,
                false,
                true,
                false,
                false,
                true,
                false,
                true,
                true,
                false,
                false,
                false,
                true,
                true,
                false,
                false,
                false,
                false
              ],
              "final_residuals": [
                7.249938313362589e-07,
                0.07528164928335085,
                0.0011274314936026199,
                0.1694630815073787,
                9.974888643028831e-07,
                0.21285687391689678,
                0.6948029002772336,
                7.95942548839846e-07,
                0.07323700879381456,
                9.674877205970883e-07,
                7.854382899984377e-07,
                0.06863899198291992,
                0.10621610626519569,
                1.706070118352376e-06,
                9.704110954045215e-07,
                9.412448427295031e-07,
                0.1135287635933489,
                0.7881378556869425,
                0.5479198422313596,
                0.039011815750718506
              ],
              "solve_times": [
                0.8213607620000403,
                3.0499122149999494,
                3.039117731999795,
                3.0494868199998564,
                0.5464310580000529,
                3.046214550000059,
                3.0345582129998547,
                0.7625508339997396,
                3.0547354119999,
                2.973208218000309,
                0.8745189750002282,
                3.0211925489998066,
                3.0656824640000195,
                3.0649687499999345,
                0.5850810020001518,
                0.7382680030000301,
                3.0526657669997803,
                3.03293419099964,
                3.0111629360003462,
                3.0681116310001926
              ],
              "avg_iterations": 231.45,
              "convergence_rate": 0.35
            },
            "graph_laplacian_32": {
              "iterations": [
                300,
                300,
                300,
                300,
                300,
                300,
                300,
                300,
                300,
                300,
                300,
                300,
                300,
                300,
                300,
                300,
                300,
                300,
                117,
                179
              ],
              "converged": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                true,
                true
              ],
              "final_residuals": [
                0.2841663067749354,
                0.9087294663612094,
                3.188136224993651e-05,
                0.1540954233806589,
                0.6103399130404663,
                0.7910661664481604,
                0.1268215013326048,
                0.3180766634345617,
                3.31698827027713e-05,
                0.010955872433371837,
                0.40753413096841784,
                9.225313944038482e-05,
                0.8533346088752314,
                3.828049805368996e-06,
                0.027723508116260596,
                0.8495371818663532,
                0.2192048428967199,
                0.042108972350512176,
                9.606789355985532e-07,
                6.982038395820805e-07
              ],
              "solve_times": [
                3.0396622309999657,
                3.0733518870001717,
                3.064117075000013,
                3.081667663999724,
                3.0746712139998635,
                3.1014943630002563,
                3.0491691979996176,
                3.0545095970001057,
                3.052074229000027,
                3.0823974210002234,
                3.059849009000118,
                3.0573784830003206,
                3.0526265869998497,
                3.0842806240002574,
                3.0305367099999785,
                3.0656414749996657,
                3.0511682269998346,
                3.0284255980000125,
                1.1790799760001391,
                1.848824804999822
              ],
              "avg_iterations": 284.8,
              "convergence_rate": 0.1
            },
            "graph_laplacian_48": {
              "iterations": [
                300,
                300,
                300,
                300,
                300,
                300,
                300,
                300,
                300,
                300,
                300,
                300,
                300,
                300,
                300,
                300,
                300,
                300,
                300,
                300
              ],
              "converged": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
              ],
              "final_residuals": [
                0.934476210318962,
                0.9660856290749918,
                0.49443692419574997,
                0.43891011737814767,
                0.967054792944326,
                0.9315075732871952,
                0.1821671497443169,
                0.9483261062090357,
                0.9623850926241058,
                0.9578628793938172,
                0.9277974269293876,
                0.013562590852642527,
                0.9437632968360707,
                0.9529283164491285,
                0.932939044935896,
                0.9422416596595131,
                0.9492341448892577,
                0.9665523674641052,
                0.9290325191978867,
                0.9367669892975967
              ],
              "solve_times": [
                3.117087846999766,
                3.041929615999834,
                3.0376896349998788,
                3.0258208360000935,
                3.064932241000406,
                3.046990248000384,
                3.013432003000162,
                3.047573414999988,
                3.0312061529998573,
                3.0389551520001987,
                3.02482117999989,
                3.0349490220000916,
                3.0474542109996037,
                3.0548308710003766,
                3.0391047819998676,
                3.0608445040002152,
                3.0395592780000698,
                3.035174612999981,
                3.0301294490000146,
                3.058758522000062
              ],
              "avg_iterations": 300.0,
              "convergence_rate": 0.0
            }
          }
        }
      ]
    },
    {
      "seed": 456,
      "models": [
        {
          "name": "No Preconditioner",
          "param_count": 0,
          "train_time": 0.0,
          "train_history": [],
          "eval": {
            "diffusion_16": {
              "iterations": [
                77,
                100,
                83,
                78,
                77,
                92,
                78,
                91,
                98,
                103,
                106,
                76,
                80,
                99,
                116,
                83,
                87,
                91,
                82,
                86
              ],
              "converged": [
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true
              ],
              "final_residuals": [
                9.179614471129425e-07,
                9.307896628594875e-07,
                9.921699109440827e-07,
                9.99998769557713e-07,
                9.889537123289207e-07,
                9.921715075464122e-07,
                9.692106875214645e-07,
                9.421424498564919e-07,
                8.965093469817251e-07,
                9.575377806002933e-07,
                9.410963601726259e-07,
                9.991855316116535e-07,
                8.185070662466136e-07,
                9.690136336394037e-07,
                9.525268265096137e-07,
                9.533396627751897e-07,
                9.969482963816195e-07,
                9.717944782725867e-07,
                9.392704034901964e-07,
                9.877302293946654e-07
              ],
              "solve_times": [
                0.3058735169997817,
                0.40569791999996596,
                0.3363286369999514,
                0.3074096760001339,
                0.30315854799982844,
                0.38591653000003134,
                0.30656321900005423,
                0.3882511719998547,
                0.3944088680000277,
                0.40995715100007146,
                0.43713924900021084,
                0.29560567299995455,
                0.31376036399979057,
                0.40941608600041945,
                0.478197266999814,
                0.3370013540002219,
                0.358258909000142,
                0.38095702400005393,
                0.33078147599962904,
                0.3506589509997866
              ],
              "avg_iterations": 89.15,
              "convergence_rate": 1.0
            },
            "diffusion_24": {
              "iterations": [
                142,
                146,
                139,
                165,
                139,
                139,
                150,
                140,
                242,
                147,
                158,
                144,
                143,
                168,
                152,
                126,
                154,
                147,
                138,
                143
              ],
              "converged": [
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true
              ],
              "final_residuals": [
                9.550797302627224e-07,
                9.638133033394047e-07,
                9.918065186729356e-07,
                9.962314924890448e-07,
                9.745370592413457e-07,
                9.852604500385284e-07,
                9.937818806054518e-07,
                9.840449338564995e-07,
                9.924653103078892e-07,
                9.487556607305237e-07,
                9.977911497179985e-07,
                9.684746700230051e-07,
                9.83845112135166e-07,
                9.80670170211614e-07,
                9.98315888181575e-07,
                9.73714831753649e-07,
                9.978964018834824e-07,
                9.99541841649823e-07,
                9.565719625050466e-07,
                9.688421704240074e-07
              ],
              "solve_times": [
                0.5788332830002219,
                0.620749416000308,
                0.5910373849997086,
                0.673195921000115,
                0.6125428270001976,
                0.5606841540002279,
                0.6388015160000577,
                0.5738730729999588,
                1.0388035519999903,
                0.6299769459997151,
                0.6490493560004325,
                0.5906589699998221,
                0.5867686730002788,
                0.6998048460000064,
                0.6346015980002448,
                0.5175464130002183,
                0.6645519740000054,
                0.6075952490000418,
                0.5622678529998666,
                0.5840080610000769
              ],
              "avg_iterations": 151.1,
              "convergence_rate": 1.0
            },
            "diffusion_32": {
              "iterations": [
                179,
                278,
                175,
                180,
                172,
                178,
                174,
                212,
                231,
                200,
                187,
                212,
                162,
                201,
                207,
                143,
                148,
                158,
                149,
                215
              ],
              "converged": [
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true
              ],
              "final_residuals": [
                9.928013379450416e-07,
                9.942689405510014e-07,
                9.96744998707244e-07,
                9.806002060587168e-07,
                9.75985143561241e-07,
                9.933011468070365e-07,
                9.998093868007762e-07,
                9.931669523506382e-07,
                9.924823454882449e-07,
                9.917032929033768e-07,
                9.780001983902366e-07,
                9.849678361178901e-07,
                9.932049508981986e-07,
                9.625199157172413e-07,
                9.871267908537925e-07,
                9.577927202209473e-07,
                9.879061314542818e-07,
                9.966578326518832e-07,
                9.973922896936269e-07,
                9.998804553562674e-07
              ],
              "solve_times": [
                0.76109913900018,
                1.2436493830000472,
                0.7352073440001732,
                0.764689983000153,
                0.720509858999776,
                0.7504600679999385,
                0.723510415000419,
                0.9056171939996602,
                0.9680289460002314,
                0.8308220189996973,
                0.7834065209999608,
                0.9008217119999244,
                0.6721813109998038,
                0.8424997340002847,
                0.9068186170002264,
                0.5929926349999732,
                0.6267368940002598,
                0.6587245149999035,
                0.632054749999952,
                0.9196249370002079
              ],
              "avg_iterations": 188.05,
              "convergence_rate": 1.0
            },
            "diffusion_48": {
              "iterations": [
                300,
                215,
                300,
                274,
                300,
                300,
                300,
                295,
                292,
                251,
                299,
                249,
                300,
                300,
                300,
                247,
                284,
                284,
                262,
                207
              ],
              "converged": [
                false,
                true,
                false,
                true,
                false,
                false,
                false,
                true,
                true,
                true,
                true,
                true,
                false,
                false,
                false,
                true,
                true,
                true,
                true,
                true
              ],
              "final_residuals": [
                1.5226702366480313e-06,
                9.990115919073803e-07,
                1.0623233174544554e-06,
                9.948729427983617e-07,
                1.0817656608488699e-06,
                1.035968736961434e-06,
                1.661800051892952e-06,
                9.971117046818385e-07,
                9.945606243450133e-07,
                9.933112955246432e-07,
                9.93156971009229e-07,
                9.941651570407788e-07,
                2.0046562025400765e-06,
                1.0571293042518113e-06,
                1.554181462924103e-06,
                9.873628918807974e-07,
                9.944357498175659e-07,
                9.992561530484318e-07,
                9.828028235672276e-07,
                9.839979451596332e-07
              ],
              "solve_times": [
                1.2879628030000276,
                0.902605400000084,
                1.2803188150001006,
                1.161807225999837,
                1.2826810540000224,
                1.2976125059999504,
                1.2871367590000773,
                1.2421870189996298,
                1.263675893999789,
                1.0644398030003686,
                1.270575479999934,
                1.050327803000073,
                1.2748578900000211,
                1.278562709000198,
                1.3099370750001071,
                1.0464837569998053,
                1.1927213070002836,
                1.1842136370000844,
                1.1093457859997216,
                0.8880686940001397
              ],
              "avg_iterations": 277.95,
              "convergence_rate": 0.6
            },
            "advection_16": {
              "iterations": [
                76,
                86,
                88,
                84,
                94,
                79,
                76,
                81,
                90,
                85,
                102,
                94,
                87,
                104,
                87,
                82,
                89,
                82,
                92,
                90
              ],
              "converged": [
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true
              ],
              "final_residuals": [
                9.287068025463184e-07,
                9.311696739338405e-07,
                9.908162259784056e-07,
                9.485003736137903e-07,
                8.971592726143367e-07,
                9.28849084789194e-07,
                9.62351334237261e-07,
                9.076933963443435e-07,
                8.911111449789587e-07,
                9.617029658757326e-07,
                9.224848485037185e-07,
                9.475224460988767e-07,
                9.31976981676081e-07,
                9.660662403167284e-07,
                9.862966272691832e-07,
                9.762900444326555e-07,
                9.78192363750478e-07,
                9.840002849783938e-07,
                9.632587771968494e-07,
                9.498876308045703e-07
              ],
              "solve_times": [
                0.3063156049997815,
                0.3502068540001346,
                0.3623206150000442,
                0.3403647219997765,
                0.396264371000143,
                0.319550025999888,
                0.31865644599974985,
                0.32329718900018634,
                0.38078733900010775,
                0.3454573439998967,
                0.40403080300029615,
                0.39116619000014907,
                0.3567044680003164,
                0.41508282899985716,
                0.35810698300019794,
                0.3258472839997921,
                0.3836211929997262,
                0.3947916800002531,
                0.3797865040000943,
                0.3772259600000325
              ],
              "avg_iterations": 87.4,
              "convergence_rate": 1.0
            },
            "advection_24": {
              "iterations": [
                173,
                126,
                139,
                126,
                158,
                132,
                139,
                150,
                147,
                129,
                152,
                119,
                114,
                153,
                126,
                144,
                126,
                140,
                123,
                127
              ],
              "converged": [
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true
              ],
              "final_residuals": [
                9.811891753359051e-07,
                9.990324112578737e-07,
                9.566955097755256e-07,
                9.848386677245694e-07,
                9.681355926644957e-07,
                9.742938385792895e-07,
                9.712269817842494e-07,
                9.635677714940236e-07,
                9.645223701160156e-07,
                9.704842198727884e-07,
                9.848354777965766e-07,
                9.532011805273377e-07,
                9.502528376842409e-07,
                9.605011722615076e-07,
                9.826371116130909e-07,
                9.7860171911828e-07,
                9.85636277323315e-07,
                9.52747397241912e-07,
                9.861554537632032e-07,
                9.860003352845887e-07
              ],
              "solve_times": [
                0.7149969989995952,
                0.5136593289998928,
                0.5867372530001376,
                0.5154056839996883,
                0.6485023599998385,
                0.5319308529997215,
                0.5722955709998132,
                0.6361796559999675,
                0.6304824310000186,
                0.5523719460002212,
                0.6459306130000186,
                0.5021007069999541,
                0.47219438100000843,
                0.6509426220000023,
                0.5162080579998474,
                0.59156442099993,
                0.5934736789999988,
                0.5674311520001538,
                0.5086994629996298,
                0.5168561969999246
              ],
              "avg_iterations": 137.15,
              "convergence_rate": 1.0
            },
            "advection_32": {
              "iterations": [
                156,
                139,
                172,
                194,
                223,
                154,
                198,
                228,
                153,
                172,
                197,
                194,
                170,
                257,
                193,
                213,
                153,
                172,
                170,
                200
              ],
              "converged": [
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true
              ],
              "final_residuals": [
                9.439898195746504e-07,
                9.800750471890073e-07,
                9.871834627514019e-07,
                9.871412595886927e-07,
                9.985420535391717e-07,
                9.58532749358498e-07,
                9.89635885336821e-07,
                9.81444892958645e-07,
                9.95849663478244e-07,
                9.830049777379424e-07,
                9.880402715293613e-07,
                9.86044462097994e-07,
                9.981416568187473e-07,
                9.970744727907183e-07,
                9.772234643205413e-07,
                9.95791572788015e-07,
                9.73798723618909e-07,
                9.982718476314456e-07,
                9.960960365596553e-07,
                9.947252307889424e-07
              ],
              "solve_times": [
                0.6544595719997233,
                0.5705672959998083,
                0.7251552650000122,
                0.7995330159997138,
                0.9849101909999263,
                0.6459857099998771,
                0.8334369149997656,
                0.9464172560001316,
                0.6425172119998024,
                0.7186341320002612,
                0.8118091559999812,
                0.8583759230000396,
                0.7027301090001856,
                1.067730290000327,
                0.8056795920001605,
                0.9116763480001282,
                0.6682774440000685,
                0.7152754679996178,
                0.6997883670001102,
                0.8964862530001483
              ],
              "avg_iterations": 185.4,
              "convergence_rate": 1.0
            },
            "advection_48": {
              "iterations": [
                300,
                212,
                255,
                263,
                274,
                247,
                257,
                248,
                290,
                300,
                294,
                277,
                300,
                300,
                222,
                243,
                279,
                242,
                300,
                249
              ],
              "converged": [
                false,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                false,
                false,
                true,
                true,
                true,
                true,
                false,
                true
              ],
              "final_residuals": [
                1.108894094530993e-06,
                9.812305140765766e-07,
                9.883909406966606e-07,
                9.995483381174946e-07,
                9.894326250519946e-07,
                9.913039594248355e-07,
                9.908699306225346e-07,
                9.862450786401145e-07,
                9.869475634640064e-07,
                9.849644038889709e-07,
                9.87940510110558e-07,
                9.87779593667715e-07,
                1.0259974019743e-06,
                1.2989660443676632e-06,
                9.947796317852797e-07,
                9.880721245409214e-07,
                9.985824355274345e-07,
                9.988269624497786e-07,
                1.9953645578325407e-06,
                9.940627652026235e-07
              ],
              "solve_times": [
                1.2985733129999062,
                0.9128997699999672,
                1.064783319000071,
                1.1143478349999896,
                1.169342745999984,
                1.0569285990000026,
                1.095344151000063,
                1.0448375959999794,
                1.21485444200016,
                1.296410336000008,
                1.265112532999865,
                1.1723316769998746,
                1.300418368999999,
                1.3129344799999672,
                0.9475164499999664,
                1.0292888160001894,
                1.1759403669998392,
                1.053460320999875,
                1.2884306569999353,
                1.0620289290000073
              ],
              "avg_iterations": 267.6,
              "convergence_rate": 0.8
            },
            "graph_laplacian_16": {
              "iterations": [
                15,
                14,
                14,
                13,
                16,
                15,
                13,
                15,
                16,
                15,
                14,
                15,
                16,
                14,
                14,
                14,
                15,
                16,
                14,
                16
              ],
              "converged": [
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true
              ],
              "final_residuals": [
                6.517177302612887e-07,
                9.906250057667284e-07,
                3.4763045090526904e-07,
                8.708222020421609e-07,
                3.493562337808801e-07,
                6.014910037420963e-07,
                7.278892163263304e-07,
                8.466422077395969e-07,
                3.519609263892013e-07,
                7.812360611466873e-07,
                5.799588249940384e-07,
                8.030142651576926e-07,
                5.217388867951473e-07,
                6.3955992557235e-07,
                6.407020574238307e-07,
                6.889859726429568e-07,
                8.54727235156029e-07,
                5.242282590745187e-07,
                3.704735861073416e-07,
                3.615115913689225e-07
              ],
              "solve_times": [
                0.04480022200004896,
                0.03673024399995484,
                0.036613996000141924,
                0.03267444899984184,
                0.044948348999696464,
                0.04121920900024634,
                0.03289651400018556,
                0.04050507500005551,
                0.04495483899972896,
                0.040603578000173,
                0.03662620600016453,
                0.04056770899978801,
                0.044860265999886906,
                0.036589119999916875,
                0.03662688300028094,
                0.03657988600025419,
                0.040667131999725825,
                0.044750200000180484,
                0.0365177879998555,
                0.04489321400023982
              ],
              "avg_iterations": 14.7,
              "convergence_rate": 1.0
            },
            "graph_laplacian_24": {
              "iterations": [
                16,
                15,
                15,
                14,
                12,
                14,
                14,
                13,
                15,
                14,
                15,
                15,
                15,
                15,
                15,
                14,
                14,
                14,
                15,
                16
              ],
              "converged": [
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true
              ],
              "final_residuals": [
                5.237797935481668e-07,
                3.9156414147882585e-07,
                5.62873496907854e-07,
                4.649438465412814e-07,
                5.136907474047354e-07,
                9.774475909705509e-07,
                9.44309040489831e-07,
                4.5221371811683764e-07,
                6.785309092868782e-07,
                2.7787418364121984e-07,
                5.248038961646618e-07,
                2.7085806305871976e-07,
                5.913823507846318e-07,
                5.861563221097455e-07,
                7.242045060068668e-07,
                6.949685314225813e-07,
                5.104288711665875e-07,
                4.21982834693953e-07,
                4.419309122127501e-07,
                5.288362096369524e-07
              ],
              "solve_times": [
                0.04488514300010138,
                0.04144816300004095,
                0.04141047700022682,
                0.03736775500010481,
                0.02920556499975646,
                0.037323032999665884,
                0.037272007999945345,
                0.03302864800025418,
                0.041750798000066425,
                0.03682931000003009,
                0.041255204999743,
                0.04171341499977643,
                0.041359662000104436,
                0.04122086000006675,
                0.04034988600005818,
                0.03630396600010499,
                0.03717158999961612,
                0.037067967999973916,
                0.04108212100027231,
                0.04547156900025584
              ],
              "avg_iterations": 14.5,
              "convergence_rate": 1.0
            },
            "graph_laplacian_32": {
              "iterations": [
                15,
                14,
                15,
                15,
                16,
                16,
                13,
                15,
                16,
                15,
                15,
                16,
                16,
                16,
                15,
                14,
                15,
                14,
                13,
                14
              ],
              "converged": [
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true
              ],
              "final_residuals": [
                3.6865689178596327e-07,
                4.946584623295917e-07,
                4.1932523018524197e-07,
                7.164688828686661e-07,
                4.353878803959363e-07,
                3.50972999222881e-07,
                3.8972420818089976e-07,
                6.116275900607454e-07,
                4.5547649203366636e-07,
                7.339412554459222e-07,
                8.760642138476459e-07,
                4.488498302762755e-07,
                3.8104533582639865e-07,
                3.5605596604942724e-07,
                3.836809840854068e-07,
                7.086943035855099e-07,
                5.839675582131321e-07,
                7.519468111459164e-07,
                9.457085111180148e-07,
                6.65073774426213e-07
              ],
              "solve_times": [
                0.041493514999729086,
                0.037410417000046436,
                0.04142651099982686,
                0.041343555000366905,
                0.04569913800014547,
                0.04554436299986264,
                0.033372323000094184,
                0.04135743500000899,
                0.04573230200003309,
                0.04142221200027052,
                0.04141236800023762,
                0.04559844699997484,
                0.04578767599969069,
                0.04583003200013991,
                0.041337426000154665,
                0.037234724999962054,
                0.0413966710002569,
                0.03783096300003308,
                0.03364197199971386,
                0.03747254100017017
              ],
              "avg_iterations": 14.9,
              "convergence_rate": 1.0
            },
            "graph_laplacian_48": {
              "iterations": [
                15,
                15,
                15,
                13,
                14,
                13,
                15,
                15,
                13,
                13,
                15,
                13,
                15,
                15,
                15,
                15,
                14,
                12,
                15,
                14
              ],
              "converged": [
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true
              ],
              "final_residuals": [
                9.498723484015913e-07,
                7.972699293156366e-07,
                9.652253658174453e-07,
                9.388778758574475e-07,
                3.822383524860774e-07,
                5.548609675162621e-07,
                4.0157122504950856e-07,
                5.164922802438703e-07,
                7.149698436958878e-07,
                8.425976946817788e-07,
                6.118590986911301e-07,
                4.592220503361021e-07,
                3.2429975754424067e-07,
                8.960177643772931e-07,
                4.5121210216919147e-07,
                3.5127225173381064e-07,
                3.1247793952301107e-07,
                5.005714443309471e-07,
                6.706917234432125e-07,
                7.824911119364775e-07
              ],
              "solve_times": [
                0.041984069000136515,
                0.04213493199995355,
                0.04195815799994307,
                0.03371912099964902,
                0.03782699800012779,
                0.03373827799987339,
                0.041936475000056816,
                0.042081195000264415,
                0.03441234000001714,
                0.03377715500027989,
                0.04192417000012938,
                0.033498398999654455,
                0.04264991199988799,
                0.041804916000273806,
                0.04354204999981448,
                0.04171450299963908,
                0.037615103000007366,
                0.029814849000104005,
                0.041820106000159285,
                0.03757407300008708
              ],
              "avg_iterations": 14.2,
              "convergence_rate": 1.0
            }
          }
        },
        {
          "name": "Jacobi",
          "param_count": 0,
          "train_time": 0.0,
          "train_history": [],
          "eval": {
            "diffusion_16": {
              "iterations": [
                57,
                73,
                62,
                65,
                73,
                65,
                70,
                70,
                72,
                60,
                73,
                59,
                78,
                79,
                76,
                64,
                69,
                73,
                71,
                69
              ],
              "converged": [
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true
              ],
              "final_residuals": [
                9.116713241383724e-07,
                8.573587609046922e-07,
                9.012735867192169e-07,
                9.905418642259227e-07,
                9.571414683347686e-07,
                8.778904900500693e-07,
                9.499721052779067e-07,
                8.808873548273749e-07,
                9.150096065776823e-07,
                9.914574486799502e-07,
                9.913246167959444e-07,
                9.62940913745731e-07,
                8.965447425058104e-07,
                9.28333069964201e-07,
                8.570456551613251e-07,
                8.954662604968592e-07,
                9.173511618968722e-07,
                9.557303382284384e-07,
                9.940891159416134e-07,
                9.263931557347644e-07
              ],
              "solve_times": [
                0.23271269199995004,
                0.2857480839998061,
                0.2604768950000107,
                0.2632227009999042,
                0.2871383619999506,
                0.29096496499960267,
                0.27490214900035426,
                0.27586590999999316,
                0.28122848000020895,
                0.2567733710002358,
                0.29174450499976956,
                0.2485192429999188,
                0.31345378400010304,
                0.31655858700014505,
                0.30064009199986685,
                0.26371596400031194,
                0.29934535800020967,
                0.2881104950001827,
                0.28323373300008825,
                0.2783242870000322
              ],
              "avg_iterations": 68.9,
              "convergence_rate": 1.0
            },
            "diffusion_24": {
              "iterations": [
                103,
                90,
                88,
                116,
                81,
                97,
                99,
                86,
                117,
                110,
                106,
                97,
                102,
                108,
                98,
                106,
                108,
                100,
                106,
                115
              ],
              "converged": [
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true
              ],
              "final_residuals": [
                9.426465485913453e-07,
                9.794601082529793e-07,
                9.915606941100913e-07,
                9.77564361664843e-07,
                9.024641578268581e-07,
                9.713734723271079e-07,
                9.556359514749124e-07,
                9.411366464182339e-07,
                9.05721718836348e-07,
                8.973530057967794e-07,
                9.469754497205923e-07,
                9.574607965025745e-07,
                9.634819819725642e-07,
                9.283085137594286e-07,
                9.971812080020057e-07,
                9.287713421938854e-07,
                9.072189052850782e-07,
                9.90212950766976e-07,
                9.007192892202676e-07,
                9.49056541751082e-07
              ],
              "solve_times": [
                0.42548127099962585,
                0.3836522699998568,
                0.37329893499963873,
                0.4840476439999293,
                0.3249992719997863,
                0.3990799279999919,
                0.39874534899990977,
                0.35866754500011666,
                0.48873896299983244,
                0.4450036150001324,
                0.4439841000003071,
                0.39347483399978955,
                0.4133518219996404,
                0.43294362500000716,
                0.4027208829998017,
                0.4244986550002068,
                0.4382435729999088,
                0.40662609100036207,
                0.42496346200005064,
                0.4816721300003337
              ],
              "avg_iterations": 101.65,
              "convergence_rate": 1.0
            },
            "diffusion_32": {
              "iterations": [
                117,
                172,
                147,
                138,
                137,
                126,
                143,
                132,
                124,
                134,
                119,
                118,
                131,
                140,
                110,
                108,
                112,
                120,
                106,
                136
              ],
              "converged": [
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true
              ],
              "final_residuals": [
                9.870684950104492e-07,
                9.859384839228298e-07,
                9.375053201418817e-07,
                9.614404649908564e-07,
                9.98994522166671e-07,
                9.793633427291557e-07,
                9.879869185865998e-07,
                9.826741980306053e-07,
                9.929204322869886e-07,
                9.88654787000341e-07,
                9.978433087300625e-07,
                9.825213099699917e-07,
                9.831603279388614e-07,
                9.701422316996816e-07,
                9.589411834308628e-07,
                9.646581570477381e-07,
                9.882317386973369e-07,
                9.909563426262404e-07,
                9.663420694970224e-07,
                9.92657940317722e-07
              ],
              "solve_times": [
                0.5001584780002304,
                0.7350960409999061,
                0.6200270460003594,
                0.573852189000263,
                0.562702389000151,
                0.5317623139999341,
                0.6099058839999998,
                0.5471412359997885,
                0.5319936030000463,
                0.5490124630000537,
                0.5145293149998906,
                0.499684060999698,
                0.5545281499998964,
                0.5779054780000479,
                0.45498434299997825,
                0.4394157649999215,
                0.4879650929997297,
                0.51203185400027,
                0.43958978199998455,
                0.5577086349999263
              ],
              "avg_iterations": 128.5,
              "convergence_rate": 1.0
            },
            "diffusion_48": {
              "iterations": [
                156,
                172,
                198,
                186,
                193,
                201,
                163,
                186,
                137,
                168,
                159,
                182,
                198,
                139,
                184,
                159,
                197,
                152,
                174,
                134
              ],
              "converged": [
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true
              ],
              "final_residuals": [
                9.889715609616788e-07,
                9.722331765790208e-07,
                9.826448215855052e-07,
                9.924857203501824e-07,
                9.849229223423932e-07,
                9.77898211383621e-07,
                9.983891914732597e-07,
                9.770870832872288e-07,
                9.968999638170824e-07,
                9.831217590540399e-07,
                9.934325735639293e-07,
                9.799992111727358e-07,
                9.987626923910707e-07,
                9.777762473439194e-07,
                9.929900257669678e-07,
                9.981956821553012e-07,
                9.714775078368389e-07,
                9.659994058016322e-07,
                9.921120388468384e-07,
                9.994852572670692e-07
              ],
              "solve_times": [
                0.6710280859997511,
                0.7160295920002682,
                0.8214264449998154,
                0.8000835289999486,
                0.8133152189998327,
                0.8466473089997635,
                0.6746520239998972,
                0.7880119279998326,
                0.57252553599983,
                0.7028024880000885,
                0.6687656079998305,
                0.7822014710000076,
                0.8305122309998296,
                0.5786812350002037,
                0.7829783239999415,
                0.6743791150001925,
                0.8359733879997293,
                0.6408313189999717,
                0.7508814159996291,
                0.5611294759996781
              ],
              "avg_iterations": 171.9,
              "convergence_rate": 1.0
            },
            "advection_16": {
              "iterations": [
                66,
                76,
                66,
                67,
                69,
                68,
                60,
                62,
                70,
                70,
                75,
                63,
                73,
                66,
                64,
                81,
                69,
                70,
                74,
                64
              ],
              "converged": [
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true
              ],
              "final_residuals": [
                9.190756636661966e-07,
                8.999912747035328e-07,
                9.736111288907432e-07,
                9.962575539979011e-07,
                9.211391443577691e-07,
                9.779542198104782e-07,
                8.932123801238199e-07,
                9.145296668951257e-07,
                9.385895593416365e-07,
                9.062198106765421e-07,
                9.79287815434272e-07,
                9.62548145072359e-07,
                8.701611348485595e-07,
                9.652681085122993e-07,
                8.079266004742788e-07,
                9.199267380056487e-07,
                9.385699792566602e-07,
                9.654687986560084e-07,
                9.537192201366846e-07,
                9.994512577142813e-07
              ],
              "solve_times": [
                0.26490815199986173,
                0.29683649399976275,
                0.2647624569999607,
                0.28559581599984085,
                0.2733154379998268,
                0.2682083029999376,
                0.2834151669999301,
                0.25830827899972064,
                0.27496001300005446,
                0.2845438409999588,
                0.31443622000006144,
                0.25766883599999346,
                0.28353825500016683,
                0.26483243099983156,
                0.2608123479999449,
                0.3214376790001552,
                0.2750474619997476,
                0.2836353370003053,
                0.29046853299996656,
                0.2596063790001608
              ],
              "avg_iterations": 68.65,
              "convergence_rate": 1.0
            },
            "advection_24": {
              "iterations": [
                115,
                78,
                95,
                86,
                108,
                100,
                88,
                98,
                117,
                105,
                108,
                102,
                82,
                87,
                110,
                108,
                97,
                85,
                111,
                84
              ],
              "converged": [
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true
              ],
              "final_residuals": [
                9.684194203658014e-07,
                8.494088010526618e-07,
                9.410801168018567e-07,
                9.62499641739175e-07,
                9.467854228121772e-07,
                9.965556393562102e-07,
                9.923241160203754e-07,
                9.623554780955256e-07,
                9.771079261350061e-07,
                9.418589445964771e-07,
                9.99153891038353e-07,
                9.620197700546503e-07,
                9.268418272394635e-07,
                9.92396349346117e-07,
                9.64448100842906e-07,
                9.375023724670783e-07,
                9.771293145307184e-07,
                8.684465943424902e-07,
                9.368435761803467e-07,
                9.273493178223291e-07
              ],
              "solve_times": [
                0.49812369600022066,
                0.30717098600007375,
                0.390001817999746,
                0.35274630300000354,
                0.4333220000003166,
                0.4626952700000402,
                0.3833203979997961,
                0.4261868650000906,
                0.48546919799991883,
                0.4254823579999538,
                0.4350382139996327,
                0.4110262550002517,
                0.3319802589999199,
                0.359944927000015,
                0.4444029640003464,
                0.43456113399997776,
                0.39526978999992934,
                0.34591721900005723,
                0.44940717200006475,
                0.34524110000029395
              ],
              "avg_iterations": 98.2,
              "convergence_rate": 1.0
            },
            "advection_32": {
              "iterations": [
                124,
                134,
                131,
                146,
                137,
                136,
                123,
                115,
                97,
                128,
                112,
                107,
                122,
                150,
                140,
                148,
                122,
                128,
                121,
                129
              ],
              "converged": [
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true
              ],
              "final_residuals": [
                9.609176868392165e-07,
                9.825042569261891e-07,
                9.863457274062992e-07,
                9.592827936077258e-07,
                9.699192306465128e-07,
                9.833602417556555e-07,
                9.96622126339458e-07,
                9.901422339884845e-07,
                9.448460143616437e-07,
                9.874893040764539e-07,
                9.839569000246914e-07,
                9.005209685409531e-07,
                9.972111627226567e-07,
                9.633698507475981e-07,
                9.670878247813808e-07,
                9.976232971310334e-07,
                9.907289686208929e-07,
                9.796904623100272e-07,
                9.914281017680938e-07,
                9.667106537510872e-07
              ],
              "solve_times": [
                0.540657631999693,
                0.5539735949996611,
                0.5391570020001382,
                0.614403085000049,
                0.5638804830000481,
                0.5581029840000156,
                0.5196550099999513,
                0.4785759739997957,
                0.3990216900001542,
                0.5290670200001841,
                0.49502098200036926,
                0.4354771860002984,
                0.5430361660000926,
                0.641768676999618,
                0.5970165260000613,
                0.6256489689999398,
                0.5169220889997632,
                0.5429003049998755,
                0.5147957829999541,
                0.5443675579999763
              ],
              "avg_iterations": 127.5,
              "convergence_rate": 1.0
            },
            "advection_48": {
              "iterations": [
                155,
                176,
                160,
                198,
                192,
                173,
                156,
                171,
                195,
                161,
                195,
                142,
                168,
                167,
                175,
                171,
                177,
                164,
                228,
                184
              ],
              "converged": [
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true
              ],
              "final_residuals": [
                9.821203645693832e-07,
                9.93111701474099e-07,
                9.79197983818132e-07,
                9.698670380008065e-07,
                9.82410056190924e-07,
                9.785763021854113e-07,
                9.951157521720982e-07,
                9.943778725437127e-07,
                9.753761555632155e-07,
                9.877834708719855e-07,
                9.725606968979396e-07,
                9.912732187856053e-07,
                9.612541424850048e-07,
                9.965007451183427e-07,
                9.938162615164757e-07,
                9.87464560756202e-07,
                9.783816245205175e-07,
                9.910544320326078e-07,
                9.803969872942166e-07,
                9.96221251416152e-07
              ],
              "solve_times": [
                0.6608690510001907,
                0.7814122549998501,
                0.6888341750000109,
                0.8365090869997402,
                0.8030329960001836,
                0.7357181330003186,
                0.6703440780001984,
                0.7316467319997173,
                0.8124115499999789,
                0.66861926699994,
                0.8120695399998112,
                0.6101310889998786,
                0.6976946120003049,
                0.6932615390001047,
                0.7402883639997526,
                0.7157037460001447,
                0.7989680799996677,
                0.7135005729996919,
                0.9603744270002608,
                0.7803736539999591
              ],
              "avg_iterations": 175.4,
              "convergence_rate": 1.0
            },
            "graph_laplacian_16": {
              "iterations": [
                9,
                9,
                8,
                8,
                9,
                8,
                9,
                9,
                9,
                9,
                9,
                8,
                9,
                8,
                8,
                9,
                9,
                10,
                8,
                9
              ],
              "converged": [
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true
              ],
              "final_residuals": [
                1.7420285413593409e-07,
                4.997139235724146e-07,
                8.144287147965632e-07,
                7.242079964304028e-07,
                5.649874023318574e-07,
                7.124288519217436e-07,
                2.664506352783645e-07,
                7.784347069500871e-07,
                4.1143749066672667e-07,
                4.243669421914839e-07,
                6.608646182126055e-07,
                8.665653247266943e-07,
                3.5961860353591113e-07,
                3.929512472879537e-07,
                4.391481312849965e-07,
                2.7083553553711784e-07,
                2.532210423935556e-07,
                4.3727617621820046e-07,
                6.903216382097223e-07,
                3.3906448573932364e-07
              ],
              "solve_times": [
                0.02011102899996331,
                0.020061376000285236,
                0.01714201000004323,
                0.01707752700031051,
                0.01995955899974433,
                0.020938057999956072,
                0.02189840999972148,
                0.024642708000101265,
                0.020060518000263983,
                0.020109606000005442,
                0.02023515500013673,
                0.017428145999929257,
                0.02004474700015635,
                0.017184014999656938,
                0.0171267139999145,
                0.01997644199991555,
                0.019962118999956147,
                0.02296492400000716,
                0.017154456000298524,
                0.019998711999960506
              ],
              "avg_iterations": 8.7,
              "convergence_rate": 1.0
            },
            "graph_laplacian_24": {
              "iterations": [
                8,
                8,
                8,
                8,
                8,
                8,
                7,
                8,
                8,
                7,
                8,
                8,
                8,
                8,
                9,
                8,
                7,
                7,
                7,
                8
              ],
              "converged": [
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true
              ],
              "final_residuals": [
                9.8586800703803e-07,
                1.3377454953941056e-07,
                1.7262043354350576e-07,
                1.307889056665562e-07,
                2.106681312298466e-07,
                1.655686950743464e-07,
                6.166970023882232e-07,
                1.6490742081535865e-07,
                2.420692782720123e-07,
                8.499224079003791e-07,
                4.254074029155958e-07,
                1.5500481062804418e-07,
                2.1342480636601827e-07,
                3.987565395019653e-07,
                5.071305437951237e-07,
                3.5306763841161294e-07,
                7.696581492179967e-07,
                4.863846688816435e-07,
                6.359157013954147e-07,
                3.5937638201495065e-07
              ],
              "solve_times": [
                0.017271244999847113,
                0.018514988999868365,
                0.018612506999943434,
                0.017922692999945866,
                0.01712018399985027,
                0.017577882000296086,
                0.014864913999645069,
                0.017053537999800028,
                0.017703294000057213,
                0.01447352300010607,
                0.01705691300003309,
                0.017576042999735364,
                0.017564620000030118,
                0.017641332000039256,
                0.019891932000064116,
                0.017084832999898936,
                0.014864872000089235,
                0.01483442600010676,
                0.014780592000079196,
                0.017541872000037984
              ],
              "avg_iterations": 7.8,
              "convergence_rate": 1.0
            },
            "graph_laplacian_32": {
              "iterations": [
                7,
                7,
                8,
                8,
                8,
                7,
                7,
                7,
                8,
                8,
                8,
                8,
                7,
                8,
                7,
                7,
                7,
                8,
                8,
                8
              ],
              "converged": [
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true
              ],
              "final_residuals": [
                7.150958888025382e-07,
                1.7846791983426322e-07,
                2.2820304040904384e-07,
                1.5778715649759596e-07,
                1.811466622012184e-07,
                6.786108297666502e-07,
                4.254546516636069e-07,
                9.614010961679e-07,
                2.413041158645352e-07,
                2.269255529868341e-07,
                1.4238971667486796e-07,
                3.869426901404848e-07,
                5.838870230085152e-07,
                4.919499305997862e-07,
                4.016956552688588e-07,
                3.510982541280301e-07,
                9.786213637257642e-07,
                1.4238693574293751e-07,
                3.364123181682492e-07,
                2.923890857396171e-07
              ],
              "solve_times": [
                0.015214819999982865,
                0.015170099999977538,
                0.01784466600020096,
                0.01778194700000313,
                0.017881904999740073,
                0.015204928999992262,
                0.015136464000079286,
                0.01511306499969578,
                0.017902182999932847,
                0.01944925299994793,
                0.017838836000009906,
                0.01791255900025135,
                0.015199849999589787,
                0.01781889100038825,
                0.01510825700006535,
                0.015056322999953409,
                0.015069406999828061,
                0.017820761000166385,
                0.017880958000205283,
                0.019395015000100102
              ],
              "avg_iterations": 7.55,
              "convergence_rate": 1.0
            },
            "graph_laplacian_48": {
              "iterations": [
                7,
                7,
                8,
                7,
                6,
                6,
                7,
                7,
                6,
                6,
                7,
                7,
                7,
                7,
                7,
                6,
                7,
                6,
                7,
                7
              ],
              "converged": [
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true
              ],
              "final_residuals": [
                1.5342087172833514e-07,
                2.0517986336534045e-07,
                1.245112945221245e-07,
                1.1815624654289962e-07,
                9.13587558644445e-07,
                7.023801314608686e-07,
                6.174860548362909e-07,
                2.7310612641388853e-07,
                5.571442632469354e-07,
                4.989309223435956e-07,
                1.2956198714357808e-07,
                2.0182939957423235e-07,
                1.5394938196438187e-07,
                1.431117892633808e-07,
                1.4594456919502994e-07,
                4.636744181850636e-07,
                9.655252510493402e-08,
                4.3267337893779157e-07,
                2.988423244257842e-07,
                9.217635515020725e-08
              ],
              "solve_times": [
                0.015387449999707314,
                0.015251337999870884,
                0.017863757999748486,
                0.015083549999872048,
                0.012674920999870665,
                0.012671568000314437,
                0.015018447999864293,
                0.015177513999788061,
                0.012763797999923554,
                0.012645851999877777,
                0.01512835499988796,
                0.014973194000049261,
                0.015180123000391177,
                0.015222094999899127,
                0.015177120999851468,
                0.01274672899990037,
                0.015166852999755065,
                0.012774822999745084,
                0.015248153999891656,
                0.015296213000056014
              ],
              "avg_iterations": 6.75,
              "convergence_rate": 1.0
            }
          }
        },
        {
          "name": "GCN",
          "param_count": 11074,
          "train_time": 50.93641504399966,
          "train_history": [
            0.8038979917764664,
            0.7869995981454849,
            0.7737970650196075,
            0.7629721760749817,
            0.775407999753952,
            0.7389567047357559,
            0.7367002815008163,
            0.7381964772939682,
            0.7167091220617294,
            0.7006402462720871,
            0.6780074834823608,
            0.6612513959407806,
            0.664827898144722,
            0.677371546626091,
            0.6422175914049149,
            0.6583142578601837,
            0.6210677176713943,
            0.6414513438940048,
            0.6145508587360382,
            0.6019297987222672,
            0.582982525229454,
            0.5782671570777893,
            0.5919485539197922,
            0.5810458660125732,
            0.5790320485830307,
            0.5525340884923935,
            0.5325301140546799,
            0.551519900560379,
            0.5014729127287865,
            0.5450265407562256,
            0.4892418533563614,
            0.49984539300203323,
            0.4915874972939491,
            0.4967169538140297,
            0.4758599102497101,
            0.4924970865249634,
            0.45741261541843414,
            0.4153268113732338,
            0.46195514500141144,
            0.4288954958319664,
            0.4030492603778839,
            0.44121506065130234,
            0.4322349727153778,
            0.4102303311228752,
            0.43317195028066635,
            0.39923907816410065,
            0.428193598985672,
            0.39879532903432846,
            0.4613906815648079,
            0.3992483764886856,
            0.3866560682654381,
            0.4671064466238022,
            0.3655439093708992,
            0.37724118679761887,
            0.40469977259635925,
            0.38319290429353714,
            0.3745262622833252,
            0.41896139085292816,
            0.36089329421520233,
            0.38162899762392044,
            0.35540207475423813,
            0.30569204688072205,
            0.2836737483739853,
            0.31148529797792435,
            0.2952091693878174,
            0.3440778777003288,
            0.3341076299548149,
            0.41511671990156174,
            0.30545610934495926,
            0.29005957394838333,
            0.3030932620167732,
            0.29989708214998245,
            0.2644434869289398,
            0.33834853768348694,
            0.30102523788809776,
            0.3301428332924843,
            0.2714759185910225,
            0.3319421336054802,
            0.29855040460824966,
            0.2652275152504444,
            0.2859942875802517,
            0.24359982088208199,
            0.3228941336274147,
            0.3251973092556,
            0.2750513069331646,
            0.26744286343455315,
            0.3057989701628685,
            0.24385381489992142,
            0.22943777218461037,
            0.23565997928380966,
            0.2750033363699913,
            0.23438967764377594,
            0.2636611871421337,
            0.25198814272880554,
            0.2377599962055683,
            0.2641999162733555,
            0.28647151589393616,
            0.224534559994936,
            0.22883137688040733,
            0.2733772285282612,
            0.22624635696411133,
            0.31008776277303696,
            0.3078433573246002,
            0.27389034628868103,
            0.26963575184345245,
            0.2678265906870365,
            0.2827531509101391,
            0.28139635920524597,
            0.21500524878501892,
            0.28201502189040184,
            0.24386648833751678,
            0.2544707618653774,
            0.27878009527921677,
            0.27370699122548103,
            0.25341997668147087,
            0.25950708612799644,
            0.2678118646144867,
            0.2725121006369591,
            0.21920591592788696,
            0.2407476156949997,
            0.2668035700917244,
            0.26493262499570847,
            0.2907622382044792,
            0.2068575657904148,
            0.25749336555600166,
            0.21244261413812637,
            0.24570447206497192,
            0.21290339529514313,
            0.2356589064002037,
            0.23656971007585526,
            0.20573299005627632,
            0.21723132207989693,
            0.2117195688188076,
            0.22555070742964745,
            0.28453372046351433,
            0.2854897305369377,
            0.23525211215019226,
            0.24587306380271912,
            0.25189468637108803,
            0.23667873069643974,
            0.2764865942299366,
            0.26554494351148605,
            0.2536783069372177,
            0.23285485431551933,
            0.22985174134373665,
            0.21413476392626762,
            0.2706080339848995,
            0.2278093434870243,
            0.23684390634298325,
            0.2141934260725975,
            0.24044474586844444,
            0.26387209072709084,
            0.2399083562195301,
            0.2247452698647976,
            0.20676275715231895,
            0.2495807595551014,
            0.2014545127749443,
            0.1941276714205742,
            0.2872770018875599,
            0.2326900213956833,
            0.213413055986166,
            0.2438829503953457,
            0.21790136024355888,
            0.20729195699095726,
            0.2317434325814247,
            0.22182394936680794,
            0.21356840059161186,
            0.24051878973841667,
            0.2148759923875332,
            0.21215669810771942,
            0.2043336145579815,
            0.2527954690158367,
            0.2307921014726162,
            0.21238351613283157,
            0.20696429535746574,
            0.23853499069809914,
            0.26218123361468315,
            0.19168954715132713,
            0.2248394377529621,
            0.202083557844162,
            0.2024453543126583,
            0.2419198416173458,
            0.24016239866614342,
            0.20751848444342613,
            0.20609137415885925,
            0.19198689609766006,
            0.20415255799889565,
            0.20902901515364647,
            0.20993029326200485,
            0.23252218216657639,
            0.20464883744716644,
            0.1928410492837429,
            0.1837746426463127,
            0.2174404039978981,
            0.1893339864909649,
            0.19293906539678574,
            0.16746070608496666,
            0.19858988001942635,
            0.19264498353004456,
            0.18571218103170395,
            0.1638275533914566,
            0.17934362962841988,
            0.18982510641217232,
            0.18654988333582878,
            0.18623214215040207,
            0.17497985064983368,
            0.18664079532027245,
            0.18202513828873634,
            0.19032006338238716,
            0.18423104658722878,
            0.18508918583393097,
            0.18233969062566757,
            0.18136850744485855,
            0.1808343566954136,
            0.1704907864332199,
            0.20164566487073898,
            0.1942325308918953,
            0.18999725580215454,
            0.17235222458839417,
            0.1900671198964119,
            0.14378532022237778,
            0.18138087168335915,
            0.19414446875452995,
            0.21849408000707626,
            0.15272874757647514,
            0.1882387511432171,
            0.1804356649518013,
            0.18451360240578651,
            0.1534734070301056,
            0.18449346721172333,
            0.19566947221755981,
            0.1735386624932289,
            0.18979940563440323,
            0.17746736481785774,
            0.20737190544605255,
            0.19220109656453133,
            0.18206799775362015,
            0.16868964955210686,
            0.16690186969935894,
            0.18765448778867722,
            0.1761634387075901,
            0.17805209383368492,
            0.1810104176402092,
            0.165906747803092,
            0.19020360335707664,
            0.16026078164577484,
            0.17093735001981258,
            0.16086684353649616,
            0.17832108587026596,
            0.12601983919739723,
            0.20102155581116676,
            0.19148799404501915,
            0.16255275532603264,
            0.193782526999712,
            0.1780017502605915,
            0.1785939410328865,
            0.12568705715239048,
            0.17153003998100758,
            0.1436778623610735,
            0.17914308235049248,
            0.1783866249024868,
            0.15283587202429771,
            0.17596133053302765,
            0.16905027627944946,
            0.18090995773673058,
            0.1787510383874178,
            0.17517220973968506,
            0.1768961250782013,
            0.17519450560212135,
            0.17092807963490486,
            0.1861761249601841,
            0.17697906121611595,
            0.15161062590777874,
            0.15655721724033356,
            0.1716228760778904,
            0.10306882672011852,
            0.16822101548314095,
            0.16287213377654552,
            0.1255531646311283,
            0.19772270321846008,
            0.1489179991185665,
            0.16898537799715996,
            0.1630241535604,
            0.1879747286438942,
            0.17883971706032753,
            0.16806787997484207,
            0.13275911659002304,
            0.143949868157506,
            0.18199428543448448,
            0.18410320952534676,
            0.16541016846895218,
            0.15578261949121952,
            0.14453750476241112,
            0.166141951456666,
            0.15232596639543772,
            0.17241200804710388,
            0.1663675643503666,
            0.16176583990454674,
            0.15876702964305878,
            0.1437932252883911,
            0.13279738277196884,
            0.18216942995786667,
            0.14580178074538708,
            0.15190940350294113,
            0.17377758026123047,
            0.17078085243701935,
            0.12906333804130554,
            0.12908453680574894,
            0.1661071628332138,
            0.11469296924769878,
            0.16576412320137024,
            0.10719085671007633,
            0.15449951775372028,
            0.11434264294803143,
            0.11046988610178232,
            0.1335464082658291,
            0.09735940769314766,
            0.12521055899560452,
            0.15685964561998844,
            0.12182587943971157,
            0.1616864800453186,
            0.11547360476106405,
            0.08179792575538158,
            0.14189746975898743,
            0.1540743038058281,
            0.11771680973470211,
            0.14988017827272415,
            0.16271767020225525,
            0.11447271332144737,
            0.1349708866328001,
            0.10346787702292204,
            0.14090735092759132,
            0.1555948667228222,
            0.15791454538702965,
            0.1637730523943901,
            0.13967990037053823,
            0.131538356654346,
            0.1116063455119729,
            0.17049246653914452,
            0.1378926821053028,
            0.1128810252994299,
            0.14263999834656715,
            0.0845089154317975,
            0.1595417931675911,
            0.13982556574046612,
            0.1614767275750637,
            0.12535446416586637,
            0.13205758994445205,
            0.13397297449409962,
            0.11186542548239231,
            0.13221690338104963,
            0.17429454252123833,
            0.12223474681377411,
            0.170530054718256,
            0.10198504105210304,
            0.11969820037484169,
            0.16766786202788353,
            0.1102731954306364,
            0.13773471489548683,
            0.17073222249746323,
            0.08628147840499878,
            0.11486862413585186,
            0.1140733864158392,
            0.1684434972703457,
            0.1598573885858059,
            0.1553283892571926,
            0.13795256614685059,
            0.16181576997041702,
            0.14918291568756104,
            0.10824269521981478,
            0.11976571381092072,
            0.1437949649989605,
            0.12326270155608654,
            0.15258542448282242,
            0.16146329417824745,
            0.09407762344926596,
            0.10779676958918571,
            0.1665874607861042,
            0.12553986348211765,
            0.15670037269592285,
            0.10840885899960995,
            0.08098900597542524,
            0.17502077296376228,
            0.17564649134874344,
            0.13487563002854586,
            0.14303131308406591,
            0.12442773208022118,
            0.1470706518739462,
            0.16630999371409416,
            0.13516788557171822,
            0.1080979835242033,
            0.1175616905093193,
            0.1223403001204133,
            0.1163689037784934,
            0.14900758489966393,
            0.10844409838318825,
            0.1450593713670969,
            0.15021829679608345,
            0.17112065106630325,
            0.0697514982894063,
            0.1385943368077278,
            0.11841223202645779,
            0.12112035602331161,
            0.11314418818801641,
            0.08149546105414629,
            0.19742736592888832,
            0.15194639563560486,
            0.17027504369616508,
            0.16151868924498558,
            0.13928124401718378,
            0.1731734611093998,
            0.1429125340655446,
            0.10284676216542721,
            0.1445724256336689,
            0.14813447184860706,
            0.12776291277259588,
            0.1297260681167245,
            0.15853488445281982,
            0.16646592319011688,
            0.12229740060865879,
            0.10039314161986113,
            0.057765332981944084,
            0.07918046228587627,
            0.14004036597907543,
            0.1338312942534685,
            0.13704933039844036,
            0.1085076816380024,
            0.10896794497966766,
            0.07467831298708916,
            0.1609445922076702,
            0.0994577007368207,
            0.09616191824898124,
            0.13085781503468752,
            0.1571366973221302,
            0.16681383550167084,
            0.15483387559652328,
            0.13449999317526817,
            0.09705903846770525,
            0.13529539108276367,
            0.13029836304485798,
            0.13438479788601398,
            0.12923663854599,
            0.1387778464704752,
            0.12949666660279036,
            0.08523891028016806,
            0.16322742402553558,
            0.13824994303286076,
            0.12775196507573128,
            0.15090161934494972,
            0.11106737330555916,
            0.16225655004382133,
            0.13752271980047226,
            0.1418818235397339,
            0.12794502824544907,
            0.12916127406060696,
            0.11345210298895836,
            0.15395358577370644,
            0.13172784727066755,
            0.16117047145962715,
            0.10550942365080118,
            0.13527715392410755,
            0.1251493338495493,
            0.17147798463702202,
            0.09711976163089275,
            0.15800872072577477,
            0.1340321283787489,
            0.16078320145606995,
            0.15659452602267265,
            0.15219899266958237,
            0.15783806145191193,
            0.03167887916788459,
            0.0992704015225172,
            0.10036418680101633,
            0.12879102118313313,
            0.15733424574136734,
            0.09348529297858477,
            0.15560835227370262,
            0.12383017875254154,
            0.107365807518363,
            0.13215821888297796,
            0.15152372419834137,
            0.07117563672363758,
            0.12298971135169268,
            0.15350811928510666,
            0.10851830895990133,
            0.1285343747586012,
            0.13982469588518143,
            0.12783025857061148,
            0.12828765623271465,
            0.12148958537727594,
            0.06828520027920604,
            0.1306636743247509,
            0.1411788985133171,
            0.105481693521142,
            0.147127415984869,
            0.1195944081991911,
            0.12589065544307232,
            0.09131221426650882,
            0.12703950982540846,
            0.12815352622419596
          ],
          "eval": {
            "diffusion_16": {
              "iterations": [
                23,
                30,
                29,
                26,
                26,
                28,
                24,
                29,
                33,
                30,
                29,
                24,
                30,
                31,
                36,
                27,
                30,
                30,
                29,
                27
              ],
              "converged": [
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true
              ],
              "final_residuals": [
                7.925285845293446e-07,
                5.805020515770622e-07,
                7.696673969401408e-07,
                6.41326158648916e-07,
                9.983186684273622e-07,
                9.413304847975026e-07,
                9.131185526244739e-07,
                7.015135632033825e-07,
                9.852145388690297e-07,
                9.360759885025616e-07,
                9.089410030159855e-07,
                7.130693717886078e-07,
                8.482927484884488e-07,
                9.841003764125806e-07,
                9.373421500535151e-07,
                9.186334178544788e-07,
                8.575659507026112e-07,
                6.854244782852029e-07,
                5.892144174068324e-07,
                9.00776289760452e-07
              ],
              "solve_times": [
                0.26069861999985733,
                0.35913111900026706,
                0.3433240660001502,
                0.30012133000036556,
                0.3027155469999343,
                0.34786811100002524,
                0.2830505679999078,
                0.34435162799991303,
                0.3872051260000262,
                0.36128163599960317,
                0.3460437040002944,
                0.2795123259998036,
                0.3610648889998629,
                0.3678385499997603,
                0.41700301599985323,
                0.31814880199999607,
                0.35840830000006463,
                0.38156332800008386,
                0.3446578570001293,
                0.3145044450002388
              ],
              "avg_iterations": 28.55,
              "convergence_rate": 1.0
            },
            "diffusion_24": {
              "iterations": [
                37,
                41,
                44,
                46,
                35,
                44,
                44,
                40,
                46,
                42,
                41,
                44,
                41,
                46,
                39,
                39,
                47,
                42,
                41,
                46
              ],
              "converged": [
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true
              ],
              "final_residuals": [
                7.905703581603314e-07,
                8.543597301591849e-07,
                8.728812021735928e-07,
                8.564918547776569e-07,
                9.646326481616917e-07,
                8.443778286427644e-07,
                9.034246183186639e-07,
                9.439979694891866e-07,
                8.89304217209992e-07,
                9.884047662518196e-07,
                9.735802571497405e-07,
                9.995149030902862e-07,
                9.218674100436569e-07,
                8.770156448819665e-07,
                9.822862511543068e-07,
                8.548722964862686e-07,
                9.072349898276438e-07,
                8.711269947447591e-07,
                8.166889728466321e-07,
                8.34537580016074e-07
              ],
              "solve_times": [
                0.42769807999957266,
                0.47488449699994817,
                0.5011586370001169,
                0.5402391560000979,
                0.4038062910003646,
                0.5011580460000005,
                0.49896070900013,
                0.4628145219999169,
                0.5309227719999399,
                0.4881501310001113,
                0.4697396189999381,
                0.5062552370000049,
                0.471025563999774,
                0.5266143869998814,
                0.4497908359999201,
                0.447270792999916,
                0.5436782619999576,
                0.483054773999811,
                0.47168373499971494,
                0.5244313630000761
              ],
              "avg_iterations": 42.25,
              "convergence_rate": 1.0
            },
            "diffusion_32": {
              "iterations": [
                49,
                60,
                53,
                48,
                52,
                51,
                49,
                54,
                52,
                54,
                53,
                59,
                49,
                55,
                52,
                48,
                47,
                52,
                46,
                51
              ],
              "converged": [
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true
              ],
              "final_residuals": [
                9.276518384676405e-07,
                9.573432104916465e-07,
                9.012596907202825e-07,
                8.983060193414993e-07,
                9.618614986476104e-07,
                9.3151580088111e-07,
                9.849075385734651e-07,
                8.830681241679605e-07,
                9.936495990722965e-07,
                9.64283953823904e-07,
                9.440611464365597e-07,
                8.896346385398001e-07,
                8.970693382656403e-07,
                8.047421667816755e-07,
                9.586869515897427e-07,
                9.652048401536688e-07,
                8.547850258216517e-07,
                8.865353241423261e-07,
                7.77772428419571e-07,
                9.376036845484163e-07
              ],
              "solve_times": [
                0.5875208790002944,
                0.7401757689999613,
                0.6411615060001168,
                0.5765719109999736,
                0.6183770640000148,
                0.6370946310003092,
                0.5882945200000904,
                0.6510432189998028,
                0.6310753120001209,
                0.6512812639998629,
                0.6529950300000564,
                0.7452519230000689,
                0.6005566650001128,
                0.6699141869999039,
                0.6413993849996587,
                0.5780476950003504,
                0.5613965150000695,
                0.6324700830000438,
                0.5474047140000948,
                0.6185181470000316
              ],
              "avg_iterations": 51.7,
              "convergence_rate": 1.0
            },
            "diffusion_48": {
              "iterations": [
                67,
                66,
                70,
                70,
                73,
                67,
                75,
                73,
                70,
                66,
                77,
                68,
                63,
                72,
                53,
                56,
                60,
                64,
                60,
                52
              ],
              "converged": [
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true
              ],
              "final_residuals": [
                9.70511508258309e-07,
                9.594394593900675e-07,
                9.993514442962715e-07,
                8.810617195540411e-07,
                9.737633990835426e-07,
                9.647692918516158e-07,
                9.992455415950502e-07,
                9.379995077294639e-07,
                9.375774164981172e-07,
                9.83038238841489e-07,
                9.52222108514768e-07,
                9.821874866462328e-07,
                9.87734565279685e-07,
                9.080253729687451e-07,
                9.311312497894215e-07,
                8.993300719791366e-07,
                8.494625379158029e-07,
                9.620494383407536e-07,
                9.233521974789595e-07,
                9.615988676962465e-07
              ],
              "solve_times": [
                0.8197449600002074,
                0.8175041879999299,
                0.8547971600000892,
                0.8483490840003469,
                0.8922081699997761,
                0.8102409429998261,
                0.9354855790002148,
                0.8806712590003372,
                0.8469613510001182,
                0.8223895920000359,
                0.9282655369997883,
                0.8290839050000613,
                0.7730454440002177,
                0.8673315270002604,
                0.6433395230001224,
                0.7366297150001628,
                0.7630228269999861,
                0.7824010630001794,
                0.7607759190000252,
                0.6362456659999225
              ],
              "avg_iterations": 66.1,
              "convergence_rate": 1.0
            },
            "advection_16": {
              "iterations": [
                29,
                29,
                26,
                30,
                31,
                26,
                28,
                26,
                31,
                29,
                33,
                28,
                27,
                32,
                29,
                28,
                30,
                25,
                32,
                27
              ],
              "converged": [
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true
              ],
              "final_residuals": [
                7.520520224402034e-07,
                8.223773044044014e-07,
                6.896917788998714e-07,
                7.496784203914121e-07,
                8.277693483604365e-07,
                8.981659144755601e-07,
                8.712814231019952e-07,
                8.2363094164229e-07,
                9.134564860512968e-07,
                6.204566056896748e-07,
                9.297529504273307e-07,
                9.521079841722653e-07,
                7.551322407981987e-07,
                9.266697803032434e-07,
                8.52780617848557e-07,
                8.96468257684339e-07,
                5.36414920512293e-07,
                8.955793534501827e-07,
                8.596854325106306e-07,
                9.337794626978795e-07
              ],
              "solve_times": [
                0.35485374000018055,
                0.3605648319999091,
                0.30305175600005896,
                0.377559408000252,
                0.38622676299974046,
                0.3493624540001292,
                0.3374048010000479,
                0.30157782700007374,
                0.36726836599973467,
                0.3424215899999581,
                0.3842276049999782,
                0.3267485400001533,
                0.31789837899987106,
                0.3759523030003038,
                0.34264679600028103,
                0.34308383999996295,
                0.3556696010000451,
                0.2952531129999443,
                0.3794415900001695,
                0.31448795100004645
              ],
              "avg_iterations": 28.8,
              "convergence_rate": 1.0
            },
            "advection_24": {
              "iterations": [
                47,
                37,
                43,
                37,
                46,
                37,
                44,
                42,
                45,
                42,
                47,
                37,
                41,
                44,
                45,
                43,
                41,
                36,
                43,
                43
              ],
              "converged": [
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true
              ],
              "final_residuals": [
                9.30972099230519e-07,
                8.383961991543234e-07,
                9.75238488744486e-07,
                9.323365801146642e-07,
                9.147105614897683e-07,
                8.896759299877796e-07,
                8.720819667177245e-07,
                7.749423531239831e-07,
                8.291731069183493e-07,
                8.953356599097256e-07,
                9.736367386425579e-07,
                8.602727565985527e-07,
                9.16541386064345e-07,
                9.570885621743875e-07,
                9.171204828771123e-07,
                9.035434069636329e-07,
                9.344687871412333e-07,
                8.893758433171002e-07,
                7.835786875706252e-07,
                9.45740248682662e-07
              ],
              "solve_times": [
                0.6069659519998822,
                0.4242778640000324,
                0.49619041200003267,
                0.47340930200016373,
                0.5309400529999948,
                0.4443217389998608,
                0.5006724330000907,
                0.47767015200042806,
                0.5081054580000455,
                0.5161023030000251,
                0.5356714729996384,
                0.42542765899997903,
                0.4745794380000916,
                0.50017597499982,
                0.5184069970000564,
                0.4926380010001594,
                0.49257993099990927,
                0.41966866899974775,
                0.5014351189997797,
                0.48959772099988186
              ],
              "avg_iterations": 42.0,
              "convergence_rate": 1.0
            },
            "advection_32": {
              "iterations": [
                50,
                51,
                52,
                53,
                48,
                45,
                54,
                54,
                43,
                56,
                51,
                50,
                48,
                58,
                50,
                56,
                41,
                50,
                49,
                52
              ],
              "converged": [
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true
              ],
              "final_residuals": [
                7.847521632327318e-07,
                9.425716022927948e-07,
                9.457527434630251e-07,
                9.27238436361535e-07,
                8.905818410973876e-07,
                9.631755778929931e-07,
                9.52287334876515e-07,
                9.919448752600942e-07,
                8.729000872054548e-07,
                9.733527388913774e-07,
                8.802022406187431e-07,
                9.799285954139022e-07,
                9.04297950975254e-07,
                8.764937135492635e-07,
                9.527813184503453e-07,
                9.557232750656146e-07,
                8.371530981519004e-07,
                9.803036404033817e-07,
                9.721924799337472e-07,
                9.587698971170652e-07
              ],
              "solve_times": [
                0.6046427029996266,
                0.6176851099999112,
                0.6295685430000049,
                0.6451776579997386,
                0.5872770949999904,
                0.5378032710000298,
                0.6553068020002684,
                0.6631354779997309,
                0.5110351349999291,
                0.6972694209998735,
                0.6092834139999468,
                0.6062861860000339,
                0.5709013360001336,
                0.7048868680003579,
                0.5964619649998895,
                0.6846363849999761,
                0.48513219699998444,
                0.605594690000089,
                0.583076212999913,
                0.6390637200001947
              ],
              "avg_iterations": 50.55,
              "convergence_rate": 1.0
            },
            "advection_48": {
              "iterations": [
                69,
                63,
                66,
                68,
                74,
                74,
                58,
                63,
                74,
                69,
                66,
                61,
                74,
                74,
                70,
                68,
                62,
                69,
                81,
                68
              ],
              "converged": [
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true
              ],
              "final_residuals": [
                9.542997979832887e-07,
                9.540078980084034e-07,
                9.948104827512086e-07,
                9.972027033189843e-07,
                9.829046779285006e-07,
                9.365648646821852e-07,
                9.998765448752438e-07,
                9.743276621576941e-07,
                9.580239053814801e-07,
                9.855309595669548e-07,
                9.672755498441776e-07,
                9.790246869499477e-07,
                9.71918099634407e-07,
                9.927060519033158e-07,
                9.671095365253759e-07,
                9.79733987277402e-07,
                9.505983254823672e-07,
                9.91449072031278e-07,
                9.669748839214597e-07,
                9.748631208158194e-07
              ],
              "solve_times": [
                0.8529904579995673,
                0.7738204100000985,
                0.8035329979998096,
                0.8331199880003624,
                0.8898456369997803,
                0.8960847359999207,
                0.7159422220001943,
                0.77216421500043,
                0.8924883770000633,
                0.8704841909998322,
                0.8482783329995982,
                0.7603161560000444,
                0.9283615080003074,
                0.8895748429999912,
                0.8429056429999946,
                0.8294973590000154,
                0.7617191219997039,
                0.8489323390003847,
                0.9770467799999096,
                0.8189064680000229
              ],
              "avg_iterations": 68.55,
              "convergence_rate": 1.0
            },
            "graph_laplacian_16": {
              "iterations": [
                6,
                6,
                6,
                6,
                6,
                6,
                6,
                6,
                6,
                6,
                6,
                6,
                6,
                6,
                6,
                6,
                6,
                6,
                6,
                6
              ],
              "converged": [
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true
              ],
              "final_residuals": [
                2.0728680959214053e-07,
                2.084719312515729e-07,
                1.6750117891846784e-07,
                1.5133038228202854e-07,
                2.6126572790232606e-07,
                1.6177036078586217e-07,
                1.6234233523129525e-07,
                3.16084840117557e-07,
                1.795111114157538e-07,
                1.9732099200237367e-07,
                1.7887002929320513e-07,
                2.2153903004233922e-07,
                2.3509690824698074e-07,
                1.3326288863364273e-07,
                1.7181130121028396e-07,
                1.4454547742535193e-07,
                2.5450366475531983e-07,
                3.013078295642693e-07,
                2.1406830598140835e-07,
                2.4685702513390504e-07
              ],
              "solve_times": [
                0.06208479799988709,
                0.06129450399976122,
                0.06064360800019131,
                0.06055705599965222,
                0.0605137279999326,
                0.061097266000160744,
                0.06086671999992177,
                0.06104187099981573,
                0.061286232999918866,
                0.06264313099973151,
                0.06138608399987788,
                0.06188209800029654,
                0.06971736399964357,
                0.06215703299994857,
                0.061432879000221874,
                0.061415054999997665,
                0.06159438999975464,
                0.06178446000012627,
                0.06100019399991652,
                0.06092542799979128
              ],
              "avg_iterations": 6.0,
              "convergence_rate": 1.0
            },
            "graph_laplacian_24": {
              "iterations": [
                6,
                6,
                6,
                6,
                6,
                6,
                6,
                6,
                6,
                6,
                6,
                6,
                6,
                6,
                6,
                6,
                6,
                6,
                6,
                6
              ],
              "converged": [
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true
              ],
              "final_residuals": [
                1.618398601364709e-07,
                1.1767124040803665e-07,
                1.679462665193864e-07,
                1.251936128931514e-07,
                1.0778082476225583e-07,
                1.7359680971478015e-07,
                1.370569819885574e-07,
                8.328366983250927e-08,
                1.713577250084427e-07,
                1.3120649845266142e-07,
                1.406105420730861e-07,
                1.514367894322165e-07,
                1.6667367228214914e-07,
                1.5636382267556735e-07,
                1.9248907220429582e-07,
                1.2559092723107533e-07,
                1.115600315616415e-07,
                1.2434315003116248e-07,
                1.106527269049188e-07,
                2.068694594325732e-07
              ],
              "solve_times": [
                0.06108756000003268,
                0.06347474999984115,
                0.06326601799992204,
                0.06335251100017558,
                0.061851626000134274,
                0.0637965439996151,
                0.06350344099973881,
                0.06095463900010145,
                0.063673222000034,
                0.060842846000014106,
                0.06085977099974116,
                0.06964451799967719,
                0.06500462799976958,
                0.06471159400007309,
                0.06185564700035684,
                0.06151244600005157,
                0.06464535500026614,
                0.06432440199978373,
                0.06430975900002522,
                0.0646248459997878
              ],
              "avg_iterations": 6.0,
              "convergence_rate": 1.0
            },
            "graph_laplacian_32": {
              "iterations": [
                6,
                6,
                6,
                6,
                6,
                6,
                6,
                6,
                6,
                6,
                6,
                6,
                6,
                6,
                6,
                6,
                6,
                6,
                6,
                6
              ],
              "converged": [
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true
              ],
              "final_residuals": [
                1.216535835120505e-07,
                1.6514586437934466e-07,
                1.3202603768050312e-07,
                1.3669370348846776e-07,
                1.6058432044910412e-07,
                1.340371757522175e-07,
                7.840360735483099e-08,
                1.2316716065822687e-07,
                1.1931980074143258e-07,
                1.1284218473392844e-07,
                1.2437465870553967e-07,
                1.1822505137719219e-07,
                1.4427993389316928e-07,
                1.7016208981824994e-07,
                9.314626878779903e-08,
                1.0343547497893641e-07,
                1.5690127325439194e-07,
                1.0412456211116173e-07,
                1.816541311291866e-07,
                1.2422825889155562e-07
              ],
              "solve_times": [
                0.0710731429999214,
                0.06595753999999943,
                0.06491053199988528,
                0.06470190400023057,
                0.06508549699992727,
                0.06504530200027148,
                0.06462061899992477,
                0.06468832300015492,
                0.0660453039999993,
                0.06491784500030917,
                0.06493247700018401,
                0.0649973280001177,
                0.0654136930002096,
                0.06473425199965277,
                0.06452224999975442,
                0.06471810099992581,
                0.06498206100013704,
                0.06471467599976677,
                0.06502197500003604,
                0.06468427899972085
              ],
              "avg_iterations": 6.0,
              "convergence_rate": 1.0
            },
            "graph_laplacian_48": {
              "iterations": [
                6,
                6,
                6,
                6,
                6,
                6,
                6,
                6,
                5,
                5,
                6,
                6,
                5,
                6,
                6,
                6,
                6,
                6,
                6,
                6
              ],
              "converged": [
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true
              ],
              "final_residuals": [
                6.789697247024907e-08,
                1.255319721512449e-07,
                1.1161401070740874e-07,
                1.4831512046741528e-07,
                6.732130968843367e-08,
                6.958079477545829e-08,
                7.361340450904894e-08,
                8.381800137521183e-08,
                8.40724922671371e-07,
                7.430472981247079e-07,
                9.187748409746901e-08,
                1.2843891792904338e-07,
                9.90321817428229e-07,
                8.462266616155546e-08,
                8.748913569944148e-08,
                1.4641801328844114e-07,
                1.296461504206758e-07,
                2.1528702196286654e-07,
                9.026752219406737e-08,
                7.300048435282988e-08
              ],
              "solve_times": [
                0.06614934200024436,
                0.06535684700020283,
                0.06505704199980755,
                0.06516182699988349,
                0.06692971199981912,
                0.06586420799976622,
                0.06563766900035262,
                0.07010612899966873,
                0.05763872399984393,
                0.05489173999967534,
                0.06531506999999692,
                0.06487039399962669,
                0.054822582000269904,
                0.06509822899988649,
                0.06524663200025316,
                0.06556790600006934,
                0.06494436299999506,
                0.06474101499998142,
                0.06492826600015178,
                0.06490948500004379
              ],
              "avg_iterations": 5.85,
              "convergence_rate": 1.0
            }
          }
        },
        {
          "name": "MPNN",
          "param_count": 15426,
          "train_time": 53.15231011199967,
          "train_history": [
            0.7968373447656631,
            0.7958450764417648,
            0.7932145446538925,
            0.7821089029312134,
            0.7713172733783722,
            0.7618812173604965,
            0.7620742917060852,
            0.7881202846765518,
            0.7605763524770737,
            0.7458642423152924,
            0.7563237696886063,
            0.7282168418169022,
            0.7432230114936829,
            0.688409760594368,
            0.6739532500505447,
            0.6735029369592667,
            0.6649793833494186,
            0.6610585004091263,
            0.714491993188858,
            0.7227871865034103,
            0.646526888012886,
            0.706721842288971,
            0.647575855255127,
            0.7398674935102463,
            0.7498056143522263,
            0.6859897077083588,
            0.6907454133033752,
            0.5523403435945511,
            0.6100523918867111,
            0.6751830726861954,
            0.5847986042499542,
            0.5220643281936646,
            0.5119930282235146,
            0.5671205595135689,
            0.5725997909903526,
            0.6558845043182373,
            0.6413029581308365,
            0.544725276529789,
            0.622305154800415,
            0.5285872742533684,
            0.533149316906929,
            0.5304249152541161,
            0.49969402700662613,
            0.4214714393019676,
            0.4941429868340492,
            0.5960185080766678,
            0.6873098164796829,
            0.38679442554712296,
            0.5877863168716431,
            0.47192028909921646,
            0.5748241245746613,
            0.4595501273870468,
            0.36946842819452286,
            0.5603552684187889,
            0.321747787296772,
            0.4493490979075432,
            0.44572605192661285,
            0.4426001235842705,
            0.42955463379621506,
            0.4335377886891365,
            0.6679147779941559,
            0.3021150529384613,
            0.41572780162096024,
            0.40242689847946167,
            0.5339283421635628,
            0.5264023616909981,
            0.5182874538004398,
            0.40036441385746,
            0.5564869567751884,
            0.38160445913672447,
            0.24187564477324486,
            0.3992142006754875,
            0.3756434731185436,
            0.2618717849254608,
            0.38723013177514076,
            0.38703353703022003,
            0.23967808857560158,
            0.3728497326374054,
            0.38905295729637146,
            0.37283507362008095,
            0.5110455229878426,
            0.5024934001266956,
            0.378726989030838,
            0.4922487698495388,
            0.23898114264011383,
            0.4872022904455662,
            0.35758841037750244,
            0.6336241848766804,
            0.4909452460706234,
            0.3594019375741482,
            0.3490338437259197,
            0.3700171150267124,
            0.2557414174079895,
            0.21420105919241905,
            0.3451966717839241,
            0.6181892193853855,
            0.4635562151670456,
            0.35676221549510956,
            0.3304927945137024,
            0.21763021498918533,
            0.4498293660581112,
            0.3452754244208336,
            0.3466302305459976,
            0.32943659648299217,
            0.6104806959629059,
            0.33268116042017937,
            0.3400879539549351,
            0.44489067047834396,
            0.2112240009009838,
            0.34870418161153793,
            0.20160946995019913,
            0.4637378454208374,
            0.32216280698776245,
            0.40546634420752525,
            0.293205089867115,
            0.29686088487505913,
            0.2994021251797676,
            0.20846546813845634,
            0.3093582093715668,
            0.22512587532401085,
            0.40659723058342934,
            0.4517923891544342,
            0.4231722801923752,
            0.30673276633024216,
            0.46924688667058945,
            0.38863516598939896,
            0.28202780708670616,
            0.2119014896452427,
            0.2944231145083904,
            0.3680151551961899,
            0.2067083716392517,
            0.3533128798007965,
            0.27257131040096283,
            0.20437053591012955,
            0.26647328585386276,
            0.28942764177918434,
            0.2662234455347061,
            0.4052289016544819,
            0.2807546444237232,
            0.4512907415628433,
            0.3885062411427498,
            0.2831350788474083,
            0.4614804573357105,
            0.20597190037369728,
            0.18935925886034966,
            0.2683676555752754,
            0.29411081969738007,
            0.26667410880327225,
            0.26741014048457146,
            0.3406752794981003,
            0.34797724336385727,
            0.26915911957621574,
            0.314258873462677,
            0.3511350601911545,
            0.25676658377051353,
            0.20305665582418442,
            0.27188799157738686,
            0.20335250720381737,
            0.40217894315719604,
            0.18970861285924911,
            0.25365814939141273,
            0.2040928490459919,
            0.35650407895445824,
            0.3433894068002701,
            0.35122066736221313,
            0.19930274039506912,
            0.3713521361351013,
            0.21223513782024384,
            0.2749982140958309,
            0.24184449762105942,
            0.25214339047670364,
            0.3254721648991108,
            0.3177585117518902,
            0.31229786202311516,
            0.26540790498256683,
            0.2500223368406296,
            0.36076637357473373,
            0.2533319219946861,
            0.24921517446637154,
            0.23566268011927605,
            0.3802425190806389,
            0.32861870154738426,
            0.2664278410375118,
            0.2709162160754204,
            0.27108651399612427,
            0.2776460200548172,
            0.34008169919252396,
            0.20099621638655663,
            0.2542230300605297,
            0.2597775459289551,
            0.19474613294005394,
            0.3721315898001194,
            0.16976163908839226,
            0.30157963559031487,
            0.20222466066479683,
            0.24361388012766838,
            0.20014148578047752,
            0.23004981875419617,
            0.37087060883641243,
            0.23014618456363678,
            0.2579015865921974,
            0.18140772357583046,
            0.36106570065021515,
            0.3612515293061733,
            0.25220948085188866,
            0.23314889892935753,
            0.256556898355484,
            0.3559325225651264,
            0.20873906463384628,
            0.27521755918860435,
            0.2388150915503502,
            0.2999809645116329,
            0.28068770840764046,
            0.281354196369648,
            0.2855205871164799,
            0.22342736274003983,
            0.1833472028374672,
            0.1918606460094452,
            0.2462206445634365,
            0.2168150320649147,
            0.31637606024742126,
            0.22738194465637207,
            0.22920015454292297,
            0.1718188114464283,
            0.18922998756170273,
            0.27390432357788086,
            0.2869606800377369,
            0.18370937183499336,
            0.2509915642440319,
            0.22717219963669777,
            0.2505871541798115,
            0.3197886496782303,
            0.23890714719891548,
            0.19569844007492065,
            0.3414875231683254,
            0.1739572435617447,
            0.20377406477928162,
            0.25192761048674583,
            0.22346149757504463,
            0.2603175565600395,
            0.21710219606757164,
            0.21495172008872032,
            0.1782500483095646,
            0.22523465007543564,
            0.20271534100174904,
            0.23264045640826225,
            0.2019950896501541,
            0.20205241069197655,
            0.18884707987308502,
            0.23808211460709572,
            0.1705762855708599,
            0.16221071034669876,
            0.2753399573266506,
            0.21990539133548737,
            0.25515054538846016,
            0.18283351510763168,
            0.2663066163659096,
            0.18111809715628624,
            0.28254201635718346,
            0.22829587757587433,
            0.2845218703150749,
            0.21027275174856186,
            0.27188699319958687,
            0.2004023902118206,
            0.2365768738090992,
            0.2396671548485756,
            0.28942035511136055,
            0.1914547234773636,
            0.17304691299796104,
            0.21182741597294807,
            0.21231945604085922,
            0.2593500576913357,
            0.25014185905456543,
            0.21207289025187492,
            0.260723739862442,
            0.23502986133098602,
            0.17300472408533096,
            0.22350311651825905,
            0.21802746132016182,
            0.21997718513011932,
            0.3655579723417759,
            0.24344348534941673,
            0.3211372382938862,
            0.24397369846701622,
            0.3273722268640995,
            0.3078532926738262,
            0.2161785513162613,
            0.3278619460761547,
            0.23637930303812027,
            0.22152920812368393,
            0.195252176374197,
            0.24615495279431343,
            0.2583586871623993,
            0.23281212896108627,
            0.2596227079629898,
            0.20696522295475006,
            0.27157747000455856,
            0.18382388353347778,
            0.17246539890766144,
            0.17946045100688934,
            0.19767022505402565,
            0.17856528982520103,
            0.20315294340252876,
            0.3075486868619919,
            0.2607823982834816,
            0.2787748984992504,
            0.26118839904665947,
            0.2704140990972519,
            0.26366082206368446,
            0.21882182732224464,
            0.21527958288788795,
            0.17845872044563293,
            0.2530403137207031,
            0.2026580087840557,
            0.23010268807411194,
            0.1972540281713009,
            0.2103290930390358,
            0.19752905145287514,
            0.24577895179390907,
            0.22201664745807648,
            0.20372289046645164,
            0.2574121803045273,
            0.23362786322832108,
            0.23715080320835114,
            0.1967269331216812,
            0.17661184445023537,
            0.31971926987171173,
            0.21355441212654114,
            0.2492222636938095,
            0.18726914376020432,
            0.19525917246937752,
            0.236654132604599,
            0.23170530796051025,
            0.19965284690260887,
            0.1871180720627308,
            0.1615108586847782,
            0.19462286680936813,
            0.1747470498085022,
            0.2037668079137802,
            0.20919446274638176,
            0.23368821293115616,
            0.18184740468859673,
            0.1806417964398861,
            0.21889187023043633,
            0.17100797966122627,
            0.19507819786667824,
            0.24920496717095375,
            0.19573858380317688,
            0.1921103149652481,
            0.19097770005464554,
            0.17587647214531898,
            0.19175836071372032,
            0.2032473422586918,
            0.17170428857207298,
            0.18588534742593765,
            0.17271067574620247,
            0.23153377324342728,
            0.21589012816548347,
            0.22931665927171707,
            0.23326079919934273,
            0.17996108531951904,
            0.22000214457511902,
            0.21185680106282234,
            0.18875287473201752,
            0.22002775594592094,
            0.20925402641296387,
            0.18234584107995033,
            0.22443535923957825,
            0.19075695052742958,
            0.259891826659441,
            0.24963975697755814,
            0.1997935250401497,
            0.2534422501921654,
            0.21238968148827553,
            0.2232210338115692,
            0.2316531054675579,
            0.2085261195898056,
            0.21838317811489105,
            0.21696016937494278,
            0.2453194037079811,
            0.17610813677310944,
            0.22534241527318954,
            0.21659284830093384,
            0.19914535805583,
            0.20824870839715004,
            0.18836049735546112,
            0.19728778675198555,
            0.18167253956198692,
            0.21526697278022766,
            0.24103006720542908,
            0.1959358975291252,
            0.18854600936174393,
            0.1631985493004322,
            0.2206476368010044,
            0.23967434093356133,
            0.22064173221588135,
            0.21751408651471138,
            0.19552236050367355,
            0.23074907809495926,
            0.20173217356204987,
            0.21490488946437836,
            0.18715057522058487,
            0.17665046080946922,
            0.16940992698073387,
            0.18755259737372398,
            0.1916416995227337,
            0.18289471417665482,
            0.19719741865992546,
            0.19308490306138992,
            0.19886737316846848,
            0.17476727440953255,
            0.18263152614235878,
            0.18974171206355095,
            0.1645994633436203,
            0.17414068803191185,
            0.2308117039501667,
            0.1851806454360485,
            0.16482527926564217,
            0.1997629925608635,
            0.20105108246207237,
            0.22343701496720314,
            0.1702784225344658,
            0.19154977798461914,
            0.23351620510220528,
            0.19692909345030785,
            0.194747194647789,
            0.19985323026776314,
            0.2642795033752918,
            0.19589167460799217,
            0.19671161472797394,
            0.19719026237726212,
            0.22511758655309677,
            0.21236149966716766,
            0.20073971524834633,
            0.19565729796886444,
            0.17573358118534088,
            0.1768958903849125,
            0.18253526836633682,
            0.17178984731435776,
            0.1632165163755417,
            0.17845531925559044,
            0.1833130121231079,
            0.17081888765096664,
            0.16813671216368675,
            0.1931161768734455,
            0.19774332270026207,
            0.16039111092686653,
            0.1633180007338524,
            0.16471094638109207,
            0.1989859901368618,
            0.1507304050028324,
            0.17164292186498642,
            0.16400033608078957,
            0.18390587717294693,
            0.1640137992799282,
            0.15758232027292252,
            0.16178417205810547,
            0.17756084352731705,
            0.1749708354473114,
            0.16525822132825851,
            0.17124134674668312,
            0.1885850504040718,
            0.17313963919878006,
            0.1781369224190712,
            0.18525994941592216,
            0.18476611003279686,
            0.19987865909934044,
            0.17171958461403847,
            0.16872699931263924,
            0.15657906979322433,
            0.1554037369787693,
            0.16957508772611618,
            0.15681902691721916,
            0.15983231738209724,
            0.1680048331618309,
            0.16546010971069336,
            0.160566046833992,
            0.16427411511540413,
            0.1787930279970169,
            0.17379821464419365,
            0.17489515617489815,
            0.19492299482226372,
            0.21977100148797035,
            0.183980792760849,
            0.1844024956226349,
            0.16172289475798607,
            0.167735505849123,
            0.1649429202079773,
            0.1774069406092167,
            0.18764575570821762,
            0.17691560462117195,
            0.15551961585879326,
            0.16745731979608536,
            0.17490589246153831,
            0.16861527785658836,
            0.2008364163339138,
            0.157942246645689,
            0.18253079056739807,
            0.18377024307847023,
            0.17673519253730774
          ],
          "eval": {
            "diffusion_16": {
              "iterations": [
                53,
                60,
                67,
                65,
                56,
                58,
                63,
                57,
                70,
                58,
                63,
                55,
                66,
                70,
                65,
                65,
                68,
                60,
                65,
                60
              ],
              "converged": [
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true
              ],
              "final_residuals": [
                9.29186321201745e-07,
                9.636568096152613e-07,
                9.699931395109392e-07,
                8.901313199235036e-07,
                8.853013855793946e-07,
                9.55550607941238e-07,
                9.696399817985677e-07,
                8.403422993983711e-07,
                8.89633462435156e-07,
                8.292752170502224e-07,
                8.882955116339895e-07,
                9.426774221955821e-07,
                9.104785499067531e-07,
                9.424403699535282e-07,
                9.454926431426295e-07,
                9.801328331374581e-07,
                9.54850671367606e-07,
                9.392802917182393e-07,
                9.968414372391293e-07,
                9.199701235237264e-07
              ],
              "solve_times": [
                0.517056725999737,
                0.6043846770003256,
                0.6564774190001117,
                0.6484789730002376,
                0.5468149540001832,
                0.6161783279999327,
                0.6266306489997078,
                0.5617064970001593,
                0.6939076730000124,
                0.5733820880000167,
                0.622808325999813,
                0.545494950000375,
                0.6465124779997495,
                0.6796121690003929,
                0.6431377809999503,
                0.642671688000064,
                0.710033962000125,
                0.6159184769999229,
                0.6575113710000551,
                0.6019028290002097
              ],
              "avg_iterations": 62.2,
              "convergence_rate": 1.0
            },
            "diffusion_24": {
              "iterations": [
                88,
                81,
                83,
                100,
                92,
                86,
                84,
                83,
                114,
                84,
                90,
                91,
                82,
                100,
                92,
                89,
                87,
                88,
                83,
                95
              ],
              "converged": [
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true
              ],
              "final_residuals": [
                9.162604401076124e-07,
                9.18720240500411e-07,
                9.250823540214318e-07,
                9.517098915804252e-07,
                9.903767736048501e-07,
                9.646726108699007e-07,
                8.855430467787369e-07,
                9.213831568660037e-07,
                9.761913617292748e-07,
                9.002568682224543e-07,
                9.825712184723502e-07,
                9.674709931541214e-07,
                8.401751432640533e-07,
                9.736078928751897e-07,
                9.802567990670643e-07,
                9.537556753956547e-07,
                9.75913705800871e-07,
                9.929762565125965e-07,
                9.683210044872422e-07,
                9.885046918419837e-07
              ],
              "solve_times": [
                0.8838026020002872,
                0.7893643610000254,
                0.8292637600002308,
                0.9842389850000473,
                0.9184748990001026,
                0.8807329830001436,
                0.838462914000047,
                0.8314682740001444,
                1.1495336839998345,
                0.8446322049999253,
                0.9174168680001458,
                0.9526028999998744,
                0.8124793760002831,
                0.9853163560001121,
                0.9250139220002893,
                0.898257152000042,
                0.8676291990000209,
                0.8842418760000328,
                0.8161015800001223,
                0.958426837999923
              ],
              "avg_iterations": 89.6,
              "convergence_rate": 1.0
            },
            "diffusion_32": {
              "iterations": [
                101,
                142,
                111,
                116,
                99,
                95,
                114,
                109,
                108,
                110,
                116,
                160,
                106,
                101,
                120,
                136,
                111,
                106,
                99,
                95
              ],
              "converged": [
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true
              ],
              "final_residuals": [
                9.272068544384264e-07,
                9.913085205362256e-07,
                9.369012305278086e-07,
                9.955831342809063e-07,
                9.97952800937823e-07,
                9.466323669383288e-07,
                9.575873969397574e-07,
                9.768935423478334e-07,
                9.805883931073815e-07,
                9.763088347469447e-07,
                9.596498347948536e-07,
                9.604884900520852e-07,
                9.364704055242152e-07,
                9.367921427380568e-07,
                9.953397376028779e-07,
                9.963924946478557e-07,
                9.407962386737543e-07,
                9.336538163601325e-07,
                9.935091877830454e-07,
                9.623515579223209e-07
              ],
              "solve_times": [
                1.0028071259998796,
                1.4242342630000167,
                1.1044053870000425,
                1.1731508489997395,
                0.9950526289999289,
                0.9641137789999448,
                1.1503795730000093,
                1.0884224820001691,
                1.073134669999945,
                1.0993615730003512,
                1.1639565310001672,
                1.6006935800000974,
                1.0514766340002097,
                1.010284031000083,
                1.2186444999997548,
                1.357042717999775,
                1.146849143000054,
                1.0689014899999165,
                0.9856952940003794,
                0.9508725709997634
              ],
              "avg_iterations": 112.75,
              "convergence_rate": 1.0
            },
            "diffusion_48": {
              "iterations": [
                151,
                142,
                144,
                147,
                144,
                221,
                190,
                161,
                126,
                110,
                151,
                161,
                138,
                157,
                164,
                130,
                147,
                144,
                151,
                151
              ],
              "converged": [
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true
              ],
              "final_residuals": [
                9.614131505692594e-07,
                9.79314234686472e-07,
                9.941831713572999e-07,
                9.443544214383663e-07,
                9.874732271832704e-07,
                9.943592415191376e-07,
                9.882816659298112e-07,
                9.949419864270444e-07,
                9.931503301840688e-07,
                9.535739087487671e-07,
                9.470243916035158e-07,
                9.894961565341212e-07,
                9.94759278071887e-07,
                9.76536019288946e-07,
                9.979272701722463e-07,
                9.724514088687326e-07,
                9.866079148294626e-07,
                9.80595780589707e-07,
                9.428860218710624e-07,
                9.803016456574266e-07
              ],
              "solve_times": [
                1.522765628000343,
                1.4366393010000138,
                1.4420510370000557,
                1.519668165999974,
                1.4386333500001456,
                2.2461701719998928,
                1.913069837000421,
                1.6140646240000933,
                1.260406349999812,
                1.0924834739998914,
                1.5479089790001126,
                1.6031196649996673,
                1.393708331000198,
                1.5980682549998164,
                1.6396384129998296,
                1.3214431249998597,
                1.4956447570002638,
                1.4519507810000505,
                1.523847742000271,
                1.5189434459998665
              ],
              "avg_iterations": 151.5,
              "convergence_rate": 1.0
            },
            "advection_16": {
              "iterations": [
                64,
                65,
                54,
                60,
                66,
                63,
                74,
                70,
                67,
                53,
                67,
                64,
                64,
                77,
                73,
                56,
                63,
                56,
                62,
                64
              ],
              "converged": [
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true
              ],
              "final_residuals": [
                9.858644567283333e-07,
                9.964540077255195e-07,
                8.962657805597538e-07,
                8.034094988971585e-07,
                9.686000088547945e-07,
                9.198017210781564e-07,
                8.95915555556572e-07,
                9.426763188368052e-07,
                9.829597340392737e-07,
                9.618855677746355e-07,
                9.805280948083335e-07,
                9.62690451617643e-07,
                9.456545991129351e-07,
                9.992726157554877e-07,
                8.896076464808487e-07,
                8.882405660304003e-07,
                9.870737226294994e-07,
                8.686719994175256e-07,
                9.680864176784332e-07,
                9.829374614993e-07
              ],
              "solve_times": [
                0.6456228390002252,
                0.6364475150003273,
                0.5278598889999557,
                0.6115942009996616,
                0.7033139960003609,
                0.6275151489999189,
                0.7081690840000192,
                0.6774604409997664,
                0.6613672329999645,
                0.5190300909998768,
                0.6670983869998963,
                0.6342103430001771,
                0.6323863009997694,
                0.7645752749999701,
                0.7086710430003222,
                0.5479379289999997,
                0.6335163809999358,
                0.5491720309996708,
                0.6184157930001675,
                0.6380654220001816
              ],
              "avg_iterations": 64.1,
              "convergence_rate": 1.0
            },
            "advection_24": {
              "iterations": [
                86,
                77,
                76,
                88,
                100,
                79,
                86,
                90,
                95,
                80,
                85,
                88,
                80,
                88,
                85,
                90,
                80,
                86,
                88,
                87
              ],
              "converged": [
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true
              ],
              "final_residuals": [
                9.771516647452678e-07,
                9.341356635015887e-07,
                9.157661104561918e-07,
                9.256680585420719e-07,
                9.63982863010546e-07,
                9.284610670346e-07,
                9.432314741980542e-07,
                9.850322191736873e-07,
                9.964912609363341e-07,
                9.494612495496508e-07,
                9.639490279125735e-07,
                9.388334979400456e-07,
                9.503288256267792e-07,
                9.96488928184462e-07,
                9.91783165601158e-07,
                9.909239002676963e-07,
                8.912618843432664e-07,
                9.82850884228536e-07,
                9.711183278835595e-07,
                9.851716873125973e-07
              ],
              "solve_times": [
                0.8621306089999052,
                0.7518281390002812,
                0.7469250069998452,
                0.880572162000135,
                0.9897403199997825,
                0.7696519139999509,
                0.8479465660002461,
                0.9088315950002652,
                0.9395267639997655,
                0.7846347919999062,
                0.84300211999971,
                0.8821343710001202,
                0.787730971000201,
                0.8792831659998228,
                0.8479660539996985,
                0.9001452620000236,
                0.7859667359998639,
                0.8511479469998449,
                0.8841435330000422,
                0.8837589629997638
              ],
              "avg_iterations": 85.7,
              "convergence_rate": 1.0
            },
            "advection_32": {
              "iterations": [
                104,
                112,
                103,
                116,
                111,
                110,
                131,
                107,
                101,
                118,
                118,
                100,
                103,
                126,
                108,
                110,
                107,
                114,
                107,
                107
              ],
              "converged": [
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true
              ],
              "final_residuals": [
                9.582866840429026e-07,
                9.397105368562707e-07,
                9.76299391311989e-07,
                9.415281657367343e-07,
                9.807070091891034e-07,
                9.321207254089322e-07,
                9.953254217319278e-07,
                9.988569270628986e-07,
                9.937568478216935e-07,
                9.60947758955342e-07,
                9.965833163879828e-07,
                9.970254447616492e-07,
                9.631380577970904e-07,
                9.64568358987273e-07,
                9.177363288888038e-07,
                9.895266443251142e-07,
                9.740001475161337e-07,
                8.974704431716094e-07,
                9.903398767403139e-07,
                9.972528520378474e-07
              ],
              "solve_times": [
                1.0428492430000915,
                1.1663577760000408,
                1.017525502999888,
                1.1628115259995866,
                1.1114170199998625,
                1.1155228829998123,
                1.314597731000049,
                1.0725580969997281,
                0.9980132699997739,
                1.1924604329997237,
                1.1902461169997878,
                1.001506206999693,
                1.0126753200001986,
                1.2620423230000597,
                1.1079084279999734,
                1.1496375759998045,
                1.0561370609998448,
                1.1414380690002872,
                1.0564335900003243,
                1.0560711670000273
              ],
              "avg_iterations": 110.65,
              "convergence_rate": 1.0
            },
            "advection_48": {
              "iterations": [
                134,
                211,
                174,
                148,
                203,
                115,
                147,
                136,
                149,
                142,
                154,
                147,
                203,
                167,
                153,
                155,
                150,
                207,
                214,
                143
              ],
              "converged": [
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true
              ],
              "final_residuals": [
                9.95695675954584e-07,
                9.437813309150259e-07,
                9.875085301754217e-07,
                9.971981733147996e-07,
                9.981330024422076e-07,
                9.564774985830913e-07,
                9.87483686091364e-07,
                9.986303555683974e-07,
                9.912061413983777e-07,
                9.494007610143247e-07,
                9.967032115077383e-07,
                9.660309465505104e-07,
                9.895947395618957e-07,
                9.993846054015627e-07,
                9.943706028810837e-07,
                9.864030103978968e-07,
                9.920372123410147e-07,
                9.8891960957839e-07,
                9.926656401715535e-07,
                9.941356062665354e-07
              ],
              "solve_times": [
                1.3203408829999717,
                2.1450513610002417,
                1.7426500920000763,
                1.4847930350001661,
                2.044443343000239,
                1.1377573479999228,
                1.5008445729999949,
                1.3552322330001516,
                1.5135578249996797,
                1.4416432549996898,
                1.55821534100005,
                1.4825351479998972,
                2.047784548999971,
                1.6788719839996702,
                1.5383635869998216,
                1.5536157199999252,
                1.5614512550000654,
                2.0983884120000766,
                2.171920766000312,
                1.4404663099999198
              ],
              "avg_iterations": 162.6,
              "convergence_rate": 1.0
            },
            "graph_laplacian_16": {
              "iterations": [
                23,
                18,
                27,
                23,
                20,
                37,
                17,
                25,
                25,
                21,
                21,
                57,
                28,
                42,
                30,
                19,
                49,
                18,
                21,
                21
              ],
              "converged": [
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true,
                true
              ],
              "final_residuals": [
                4.941424643555577e-07,
                5.496415905148491e-07,
                5.75993403137067e-07,
                5.266008861098353e-07,
                9.191128682461554e-07,
                9.465796500285926e-07,
                8.865236393590371e-07,
                5.280394068098447e-07,
                4.5551615465533686e-07,
                7.146122038196326e-07,
                9.290398579673948e-07,
                6.684501044866514e-07,
                8.343709421525665e-07,
                9.323763880605318e-07,
                5.355010036845382e-07,
                5.892858100569307e-07,
                5.027996336427595e-07,
                8.358598036505231e-07,
                7.789601528149732e-07,
                5.614191440479764e-07
              ],
              "solve_times": [
                0.2153646460001255,
                0.1649320749997969,
                0.2715943220000554,
                0.21487284400018325,
                0.1817491660003725,
                0.35471969900027034,
                0.15174379700010832,
                0.2391349720001017,
                0.2375962860000982,
                0.19167619699965144,
                0.19147702999998728,
                0.5704174590000548,
                0.27796911299992644,
                0.4042408579998664,
                0.3109884979999151,
                0.17530878399975336,
                0.47444526899971606,
                0.16094110499989256,
                0.19437408100020548,
                0.19344269700013683
              ],
              "avg_iterations": 27.1,
              "convergence_rate": 1.0
            },
            "graph_laplacian_24": {
              "iterations": [
                46,
                300,
                240,
                300,
                36,
                300,
                300,
                36,
                300,
                102,
                46,
                300,
                300,
                88,
                24,
                49,
                300,
                300,
                300,
                300
              ],
              "converged": [
                true,
                false,
                true,
                false,
                true,
                false,
                false,
                true,
                false,
                true,
                true,
                false,
                false,
                true,
                true,
                true,
                false,
                false,
                false,
                false
              ],
              "final_residuals": [
                5.968270781416069e-07,
                0.08509933204795225,
                7.37569931947471e-07,
                0.0025509025524067938,
                8.043625462518267e-07,
                0.07653460043408551,
                0.16375994255172266,
                8.809871777127408e-07,
                0.05956923111710808,
                8.056237406136645e-07,
                8.141046692030427e-07,
                0.013113603476665146,
                0.011511268585859592,
                9.376407160002953e-07,
                6.118498903400704e-07,
                5.460154110323174e-07,
                0.025431546938875182,
                0.27859192558531454,
                0.3130180757806178,
                0.008983343475241948
              ],
              "solve_times": [
                0.4419331530002637,
                3.0444181200000457,
                2.4139630539998507,
                3.0621163069999966,
                0.35018085699994117,
                3.015199260999907,
                3.037793667999722,
                0.34860185100023955,
                3.0294564490000084,
                1.041237123999963,
                0.44221627500019167,
                3.0344538379999904,
                3.0138514000000214,
                0.88721793600007,
                0.22918188399989958,
                0.472435040000164,
                3.059458245999849,
                3.046564668999963,
                3.048380126000211,
                3.037344206999933
              ],
              "avg_iterations": 198.35,
              "convergence_rate": 0.45
            },
            "graph_laplacian_32": {
              "iterations": [
                300,
                300,
                148,
                300,
                300,
                300,
                300,
                300,
                177,
                300,
                300,
                88,
                300,
                118,
                300,
                300,
                300,
                300,
                35,
                56
              ],
              "converged": [
                false,
                false,
                true,
                false,
                false,
                false,
                false,
                false,
                true,
                false,
                false,
                true,
                false,
                true,
                false,
                false,
                false,
                false,
                true,
                true
              ],
              "final_residuals": [
                0.1958689647343604,
                0.7846022496512338,
                5.239435920864746e-07,
                0.06356986223619344,
                0.2240062399237999,
                0.5009867944184474,
                0.09454639431718942,
                0.15544718981269026,
                9.989617407215935e-07,
                4.0728891213987415e-05,
                0.17505100908868063,
                9.620520226312493e-07,
                0.6316646901600167,
                6.573099441986456e-07,
                6.3785989966432575e-06,
                0.4146894975600248,
                0.12577160958587708,
                3.1225834096569975e-06,
                6.990319684781959e-07,
                7.518013487583353e-07
              ],
              "solve_times": [
                3.059725051999976,
                3.0243980129998818,
                1.4753282929996203,
                3.0537142230000427,
                3.076167632000306,
                3.023638069000299,
                3.1017075489999115,
                3.036784534999697,
                1.7939992960000382,
                3.0659960689999934,
                3.0524274599997625,
                0.9010215089997473,
                3.05191535799986,
                1.185761108999941,
                3.0125779469999543,
                3.0573798180002996,
                3.028664168999967,
                3.04024213699995,
                0.3443413199997849,
                0.5619673350001904
              ],
              "avg_iterations": 241.1,
              "convergence_rate": 0.3
            },
            "graph_laplacian_48": {
              "iterations": [
                300,
                300,
                300,
                300,
                300,
                300,
                300,
                300,
                300,
                300,
                300,
                300,
                300,
                300,
                300,
                300,
                300,
                300,
                300,
                300
              ],
              "converged": [
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false,
                false
              ],
              "final_residuals": [
                0.8768610403174992,
                0.9350691891408521,
                0.1295730900747679,
                0.40038059594997844,
                0.9490903744755482,
                0.5188701809718425,
                0.006168094168137257,
                0.8565117992846634,
                0.9386908490332252,
                0.9110344128668119,
                0.8943671869718772,
                0.000398107224252418,
                0.8553118553625243,
                0.9336846259024192,
                0.5150859636573315,
                0.9008036050314749,
                0.7130157576308506,
                0.832622785309249,
                0.7601376735312801,
                0.9161792735367127
              ],
              "solve_times": [
                3.0715937750001103,
                3.0763593289998425,
                3.0339006999997764,
                3.0319936040000357,
                3.046606034999968,
                3.08472154600031,
                3.0368739649998133,
                3.0329220309999982,
                3.0302559400001883,
                3.061983419000171,
                3.038252769999872,
                3.057610702999682,
                3.0823870029998943,
                3.0272872410000673,
                3.0671944219998295,
                3.019524955000179,
                3.0466186720000223,
                3.0344986029999745,
                3.03595045100019,
                3.017461893000018
              ],
              "avg_iterations": 300.0,
              "convergence_rate": 0.0
            }
          }
        }
      ]
    }
  ]
}