| Algorithm | SGAPlugin |
|---|---|
| Dataset | kdv |
| Expression | \( u_{t} = - 0.0025 u_{x xx} - 0.5 \left(u^{2} \right)_{x} \) |
| Best AIC | -19.4243 |
| R² | 0.999997 |
| NMSE | 2.704e-06 |
| Iterations | 200 |
| Early Stopped | False |
| config.algorithm | sga |
| config.num | 20 |
| config.p_var | 0.5 |
| config.p_mute | 0.3 |
| config.p_cro | 0.5 |
| config.p_rep | 1.0 |
| config.seed | 42 |
| config.depth | 4 |
| config.width | 5 |
| config.aic_ratio | 1.0 |
| config.lam | 0.0 |
| config.d_tol | 1.0 |
| config.maxit | 10 |
| config.str_iters | 10 |
| config.normalize | 2 |
| config.dedup_mode | pre_prune |
| config.use_autograd | False |
| config.field_model | None |
| config.autograd_train_epochs | 1000 |
| config.autograd_train_lr | 0.001 |
| config.autograd_train_patience | None |
| config.autograd_train_val_ratio | 0.0 |
| config.provider_kind | finite_diff |
Distinct candidate-expression count among this generation's evaluated offspring (the staged batch, post-dedup; failed evaluations count too). A collapsing count signals premature convergence / loss of search diversity. NOT a population statistic — the count can exceed the population size.
Mean number of STRidge-selected (non-zero) terms across this generation's valid offspring — a sparsity / bloat monitor for the evolving PDE candidates. All-invalid generations appear as gaps (nothing was measured).
Per-generation MEAN AIC over the surviving population's finite scores (lower is better). The platform 'convergence' plot draws the single best AIC; this curve shows the level of the whole surviving population — under elitist truncation it declines alongside the best curve, and the distance between the two is how far the population trails its optimum. Generations with no finite-scored survivors (e.g. an all-invalid start) appear as gaps (their +inf sentinel is masked).
FieldModel surrogate (D032 Layer-2 autograd source) training loss vs epoch (log-y): train and — when a validation split exists — validation MSE, with the best-validation epoch marked. The autograd derivatives (u_x, u_t) the GA reads from come from this network. Absent (No data panel) for finite-diff mode or when the surrogate was pre-trained (user-supplied field_model), not trained by the platform builder.
Raw GP genome of the best individual — operator names (*, ^2, d) as the genetic operators produced them, pre-canonicalization. Shows all evolved terms before STRidge pruning, so its term count may exceed the discovered equation's (Expression Tree). Unavailable for results loaded from disk (no live population).
{
"result_schema_version": 1,
"best_expression": "u_t = -0.0025*diff2_x(diff_x(u)) - 0.5*diff_x(mul(u, u))",
"best_score": -19.42425271135905,
"iterations": 200,
"early_stopped": false,
"final_eval": {
"mse": 8.193852699097616e-06,
"nmse": 2.7044565565140296e-06,
"r2": 0.9999972955434435,
"score": -19.42425271135905,
"complexity": 2,
"coefficients": [
0.0,
-0.0025000916551076915,
-0.4999985074958254,
0.0,
0.0,
0.0
],
"is_valid": true,
"error_message": "",
"invalid_reason": null,
"selected_indices": [
1,
2
],
"residuals": "[51456 elements]",
"terms": [
"u",
"diff2_x(diff_x(u))",
"diff_x(mul(u, u))",
"mul(x, x)",
"n3(x)",
"n3(x)"
],
"expression": "add(diff2_x(diff_x(u)), add(diff_x(mul(u, u)), add(mul(x, x), add(n3(x), n3(x)))))",
"lhs_name": null,
"condition_number": null,
"condition_number_computed": false
},
"actual": "[51456 elements]",
"predicted": "[51456 elements]",
"dataset_name": "kdv",
"algorithm_name": "SGAPlugin",
"config": {
"algorithm": "sga",
"num": 20,
"p_var": 0.5,
"p_mute": 0.3,
"p_cro": 0.5,
"p_rep": 1.0,
"seed": 42,
"depth": 4,
"width": 5,
"aic_ratio": 1.0,
"lam": 0.0,
"d_tol": 1.0,
"maxit": 10,
"str_iters": 10,
"normalize": 2,
"dedup_mode": "pre_prune",
"use_autograd": false,
"field_model": null,
"autograd_train_epochs": 1000,
"autograd_train_lr": 0.001,
"autograd_train_patience": null,
"autograd_train_val_ratio": 0.0,
"provider_kind": "finite_diff"
},
"recorder": {
"best_aic": [
-18.37657775848694,
-18.37657775848694,
-18.37657775848694,
-18.37657775848694,
-18.37657775848694,
-18.37657775848694,
-18.37657775848694,
-18.37657775848694,
-18.37657775848694,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905
],
"gen_best_aic": [
-18.37657775848694,
-18.37657775848694,
-18.37657775848694,
-18.37657775848694,
-18.37657775848694,
-18.37657775848694,
-18.37657775848694,
-18.37657775848694,
-18.37657775848694,
-19.42425271135905,
-19.42425271135905,
-18.37657775848694,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
1.3593132609599081,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
6.216527925119779,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-13.451331027860729,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
5.3191783862611395,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
3.351408303511024,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
3.3530591327073838,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-18.37657775848694,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
5.868550561692929,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
4.2148392509548085,
-19.42425271135905,
-19.42425271135905,
-17.450835382444897,
-18.37657775848694,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-18.37657775848694,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
3.351408303511024,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
7.985919515986902,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
7.793167441470471,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905
],
"gen_mean_aic": [
3.592738586361191,
4.35775817224525,
5.3335478968094705,
-2.670304580546044,
3.642830923310788,
3.4160491547055893,
5.008767663279625,
2.1038439488542955,
0.6768887968105451,
0.05966712028181677,
4.764080926448093,
2.514608483545418,
0.3315829443825756,
3.8128169811959998,
2.8977939780549056,
2.595597468809907,
2.584736542194982,
5.766789984264459,
3.0718924897717965,
3.052452510600899,
4.35805975126126,
6.434031405899939,
5.995126979547943,
6.912001054258834,
2.3310994539642467,
2.937249298867436,
3.381952853383941,
-0.80710370679086,
2.9792994189632562,
3.721413462835798,
3.5490390443072357,
9.590949575072997,
6.704728297222798,
6.710271391782287,
0.9760078007135757,
0.5818723021669299,
5.612849130626801,
0.7638529003263805,
6.3941906477631445,
4.2104597731751054,
3.6706827039569547,
0.22936088336310217,
5.652443492179893,
9.124724654012779,
10.847224541662227,
8.57798017995394,
5.009575246679585,
2.2927700323248525,
6.642042107364214,
4.04338405399282,
3.7596152797332207,
6.501593235745327,
8.346878339682522,
7.254146977067707,
5.256604776211382,
5.237787513244932,
6.342318682977035,
7.8650762526098275,
3.7821478585624226,
9.81980724925874,
7.501520399919282,
9.122474056585569,
4.1884654589618355,
3.4640469400742315,
5.710825221532421,
7.142349357476152,
5.405191802670218,
7.295609695372705,
3.0987016489513577,
4.50102718980261,
6.5505744015275535,
5.276574473893358,
7.168998239902079,
4.269968756503354,
8.63899404353374,
8.162038421151841,
3.615815189502683,
6.062149505136158,
5.869184445982051,
5.118527492222925,
8.117566320787125,
8.314466157514197,
3.726309122194418,
5.828681661925412,
5.943475537096271,
7.270490018581918,
4.700376942606494,
10.464478645841497,
8.854345877906285,
3.53536727613448,
9.038025512516825,
2.996084577714715,
7.026712551534191,
7.183601307869154,
1.4193333193217548,
5.558433276015743,
9.873615144629907,
4.494642817435327,
6.049246886251991,
4.0974742113695175,
6.461011045450927,
6.269114822744833,
6.619248271076884,
5.142282852952919,
6.61326370293675,
9.869523820879193,
6.685304151583526,
3.7586718073428855,
6.7451986313676,
7.808326017602621,
8.023736083815717,
5.374028672595132,
6.1963897073867065,
8.328023639852503,
3.176828647443559,
6.1425613289354075,
5.786985637821209,
9.772433919006199,
8.377107054109887,
5.152805246882725,
-0.39947333070000574,
6.977470013155448,
3.5192527828990885,
-1.3299541904540413,
3.1298255799581574,
8.017470134183931,
5.787871209396469,
6.075149356950104,
10.416764075082199,
5.7242662548607415,
3.5976661144099866,
4.830132270935685,
7.243865907485008,
7.238361833385784,
5.966007997804005,
2.78053697136917,
9.62748010040102,
6.833950084874732,
5.46653844670762,
6.90901235657181,
8.423486712536924,
9.30185783432275,
4.660618188222133,
5.597649220911634,
4.944607677618899,
3.8977860599114402,
3.8071501105105363,
3.008577996533715,
6.11256291772903,
2.656021864930292,
7.769706766684209,
5.393386231303717,
8.37776712486365,
7.777812928187654,
7.133779590981798,
3.0110538606577064,
9.033060318651348,
-0.39902205955105546,
8.036463534017836,
9.849518178642672,
7.8578507508073745,
2.5987745353050697,
5.5546319982651875,
4.185527328605394,
8.736731609522849,
8.322498847191552,
4.800784063208189,
7.541852785310298,
5.17337394941482,
8.547316305183495,
8.418128574334597,
6.293728235707304,
5.672700287678039,
6.855716461184452,
4.368152638140503,
8.611594516640947,
9.72931466700432,
4.283838718389869,
7.2674941837960185,
8.22076242517997,
7.618683071988113,
11.298261665758499,
6.9596846172760864,
4.34872591678085,
9.156100070162367,
8.71233086101935,
6.337630588457021,
9.380208077684404,
4.017022523968228,
8.409310215323286,
7.595022884655645,
5.487573057050151,
7.806107893440141,
6.679734711957355,
10.675084463044154,
7.867249977435044,
7.5078908405977245,
7.892086615386456,
5.3552576539277075,
6.745640663791242
],
"gen_best_nmse": [
4.566460810826565e-06,
4.566460810826565e-06,
4.566460810826565e-06,
4.566460810826565e-06,
4.566460810826565e-06,
4.566460810826565e-06,
4.566460810826565e-06,
4.566460810826565e-06,
4.566460810826565e-06,
2.7044565565140296e-06,
2.7044565565140296e-06,
4.566460810826565e-06,
2.7044565565140296e-06,
2.7044565565140296e-06,
2.7044565565140296e-06,
2.7044565565140296e-06,
2.7044565565140296e-06,
2.7044565565140296e-06,
2.7044565565140296e-06,
2.7044565565140296e-06,
2.7044565565140296e-06,
2.7044565565140296e-06,
2.7044565565140296e-06,
2.7044565565140296e-06,
2.7044565565140296e-06,
2.7044565565140296e-06,
2.7044565565140296e-06,
2.7044565565140296e-06,
2.7044565565140296e-06,
2.7044565565140296e-06,
2.7044565565140296e-06,
0.0881401971302826,
2.7044565565140296e-06,
2.7044565565140296e-06,
2.7044565565140296e-06,
2.7044565565140296e-06,
2.7044565565140296e-06,
2.7044565565140296e-06,
2.7044565565140296e-06,
2.7044565565140296e-06,
2.7044565565140296e-06,
2.7044565565140296e-06,
2.7044565565140296e-06,
2.7044565565140296e-06,
0.9997807731015538,
2.7044565565140296e-06,
2.7044565565140296e-06,
2.7044565565140296e-06,
2.7044565565140296e-06,
2.7044565565140296e-06,
2.7044565565140296e-06,
2.7044565565140296e-06,
2.7044565565140296e-06,
2.7044565565140296e-06,
2.7044565565140296e-06,
2.7044565565140296e-06,
2.7044565565140296e-06,
2.7044565565140296e-06,
2.7044565565140296e-06,
2.7044565565140296e-06,
2.7044565565140296e-06,
2.6680872516658987e-06,
2.7044565565140296e-06,
2.7044565565140296e-06,
2.7044565565140296e-06,
2.7044565565140296e-06,
2.7044565565140296e-06,
2.7044565565140296e-06,
2.7044565565140296e-06,
2.7044565565140296e-06,
2.7044565565140296e-06,
2.7044565565140296e-06,
2.7044565565140296e-06,
2.7044565565140296e-06,
2.7044565565140296e-06,
2.7044565565140296e-06,
2.7044565565140296e-06,
2.7044565565140296e-06,
2.7044565565140296e-06,
2.7044565565140296e-06,
2.7044565565140296e-06,
2.7044565565140296e-06,
2.7044565565140296e-06,
2.7044565565140296e-06,
2.7044565565140296e-06,
2.7044565565140296e-06,
2.7044565565140296e-06,
0.0863890782452019,
2.7044565565140296e-06,
2.7044565565140296e-06,
2.7044565565140296e-06,
2.7044565565140296e-06,
2.7044565565140296e-06,
2.7044565565140296e-06,
2.7044565565140296e-06,
2.7044565565140296e-06,
0.08779251243716316,
2.7044565565140296e-06,
2.7044565565140296e-06,
2.7044565565140296e-06,
2.7044565565140296e-06,
2.7044565565140296e-06,
2.7044565565140296e-06,
2.7044565565140296e-06,
2.7044565565140296e-06,
0.08786500757369572,
2.7044565565140296e-06,
2.7044565565140296e-06,
2.7044565565140296e-06,
2.7044565565140296e-06,
2.7044565565140296e-06,
2.7044565565140296e-06,
2.7044565565140296e-06,
2.7044565565140296e-06,
2.7044565565140296e-06,
2.7044565565140296e-06,
2.7044565565140296e-06,
4.566460810826565e-06,
2.7044565565140296e-06,
2.7044565565140296e-06,
2.7044565565140296e-06,
2.7044565565140296e-06,
2.7044565565140296e-06,
2.7044565565140296e-06,
2.7044565565140296e-06,
2.7044565565140296e-06,
2.7044565565140296e-06,
2.7044565565140296e-06,
0.8401221906656846,
2.7044565565140296e-06,
2.7044565565140296e-06,
2.7044565565140296e-06,
2.7044565565140296e-06,
2.7044565565140296e-06,
2.7044565565140296e-06,
2.7044565565140296e-06,
0.9989369773945993,
2.7044565565140296e-06,
2.7044565565140296e-06,
2.668748546212077e-06,
4.566460810826565e-06,
2.7044565565140296e-06,
2.7044565565140296e-06,
2.7044565565140296e-06,
2.7044565565140296e-06,
2.7044565565140296e-06,
2.7044565565140296e-06,
2.7044565565140296e-06,
2.7044565565140296e-06,
2.7044565565140296e-06,
2.7044565565140296e-06,
2.7044565565140296e-06,
2.7044565565140296e-06,
2.7044565565140296e-06,
2.7044565565140296e-06,
2.7044565565140296e-06,
2.7044565565140296e-06,
2.7044565565140296e-06,
2.7044565565140296e-06,
2.7044565565140296e-06,
2.7044565565140296e-06,
2.7044565565140296e-06,
2.7044565565140296e-06,
2.7044565565140296e-06,
2.7044565565140296e-06,
2.7044565565140296e-06,
2.7044565565140296e-06,
4.566460810826565e-06,
2.7044565565140296e-06,
2.7044565565140296e-06,
2.7044565565140296e-06,
2.7044565565140296e-06,
2.7044565565140296e-06,
2.7044565565140296e-06,
2.7044565565140296e-06,
2.7044565565140296e-06,
0.08779251243716316,
2.7044565565140296e-06,
2.7044565565140296e-06,
2.7044565565140296e-06,
2.7044565565140296e-06,
0.8908996754959034,
2.7044565565140296e-06,
2.7044565565140296e-06,
2.7044565565140296e-06,
2.7044565565140296e-06,
2.7044565565140296e-06,
2.7044565565140296e-06,
2.7044565565140296e-06,
2.7044565565140296e-06,
2.7044565565140296e-06,
2.7044565565140296e-06,
2.7044565565140296e-06,
2.7044565565140296e-06,
0.8090460084641732,
2.7044565565140296e-06,
2.7044565565140296e-06,
2.7044565565140296e-06,
2.7044565565140296e-06,
2.7044565565140296e-06
],
"n_valid": [
34,
32,
33,
38,
35,
37,
36,
29,
26,
28,
28,
29,
29,
32,
30,
33,
28,
34,
27,
33,
32,
34,
27,
27,
26,
27,
28,
29,
25,
29,
26,
21,
22,
26,
26,
26,
23,
25,
23,
20,
22,
25,
23,
21,
26,
21,
25,
23,
21,
21,
23,
21,
22,
19,
22,
21,
21,
20,
21,
20,
20,
19,
21,
22,
23,
20,
19,
22,
20,
19,
21,
23,
20,
21,
19,
21,
22,
21,
20,
21,
19,
20,
19,
19,
22,
22,
20,
21,
22,
22,
20,
20,
19,
20,
20,
19,
20,
19,
20,
21,
21,
21,
20,
21,
21,
20,
19,
20,
20,
19,
20,
20,
19,
21,
20,
19,
20,
20,
19,
19,
19,
19,
19,
18,
20,
21,
20,
19,
20,
22,
20,
19,
20,
19,
20,
21,
20,
20,
22,
19,
21,
20,
19,
20,
20,
19,
19,
19,
19,
21,
19,
20,
19,
19,
18,
20,
19,
20,
20,
19,
20,
19,
20,
19,
19,
19,
20,
19,
21,
19,
19,
20,
20,
19,
19,
19,
20,
20,
19,
19,
19,
20,
20,
20,
18,
20,
20,
19,
20,
19,
19,
19,
19,
18,
19,
19,
19,
19,
20,
19
],
"n_unique": [
33,
32,
33,
38,
35,
37,
36,
29,
26,
28,
28,
29,
29,
32,
30,
33,
28,
34,
27,
33,
32,
34,
27,
27,
26,
27,
28,
29,
25,
29,
26,
21,
22,
26,
26,
26,
23,
25,
23,
20,
22,
25,
23,
21,
26,
21,
25,
23,
21,
21,
23,
21,
22,
19,
22,
21,
21,
20,
21,
20,
20,
19,
21,
22,
23,
20,
19,
22,
20,
19,
21,
23,
20,
21,
19,
21,
22,
21,
20,
21,
19,
20,
19,
19,
22,
22,
20,
21,
22,
22,
20,
20,
19,
20,
20,
19,
20,
19,
20,
21,
21,
21,
20,
21,
21,
20,
19,
20,
20,
19,
20,
20,
19,
21,
20,
19,
20,
20,
19,
19,
19,
19,
19,
18,
20,
21,
20,
19,
20,
22,
20,
19,
20,
19,
20,
21,
20,
20,
22,
19,
21,
20,
19,
20,
20,
19,
19,
19,
19,
21,
19,
20,
19,
19,
18,
20,
19,
20,
20,
19,
20,
19,
20,
19,
19,
19,
20,
19,
21,
19,
19,
20,
20,
19,
19,
19,
20,
20,
19,
19,
19,
20,
20,
20,
18,
20,
20,
19,
20,
19,
19,
19,
19,
18,
19,
19,
19,
19,
20,
19
],
"gen_mean_complexity": [
1.8235294117647058,
2.34375,
3.242424242424242,
3.026315789473684,
3.6,
3.324324324324324,
3.9166666666666665,
3.7241379310344827,
3.3846153846153846,
3.2857142857142856,
3.9285714285714284,
3.3793103448275863,
3.5517241379310347,
3.65625,
3.7,
3.696969696969697,
3.607142857142857,
4.205882352941177,
3.814814814814815,
3.606060606060606,
4.09375,
4.0,
4.037037037037037,
4.037037037037037,
3.769230769230769,
3.6666666666666665,
3.5714285714285716,
3.5517241379310347,
3.64,
3.8620689655172415,
3.769230769230769,
4.190476190476191,
3.727272727272727,
4.384615384615385,
3.730769230769231,
3.4615384615384617,
3.782608695652174,
3.72,
4.0,
3.9,
3.8181818181818183,
3.32,
4.130434782608695,
4.333333333333333,
4.538461538461538,
4.190476190476191,
3.8,
3.6956521739130435,
3.9523809523809526,
3.619047619047619,
3.8260869565217392,
4.285714285714286,
4.454545454545454,
3.526315789473684,
4.181818181818182,
4.238095238095238,
4.142857142857143,
4.4,
3.8095238095238093,
4.65,
4.15,
4.631578947368421,
3.619047619047619,
3.727272727272727,
3.739130434782609,
4.05,
3.9473684210526314,
4.0,
3.8,
4.052631578947368,
3.7142857142857144,
4.0,
4.0,
3.9047619047619047,
4.2631578947368425,
4.428571428571429,
3.8181818181818183,
4.095238095238095,
4.0,
4.238095238095238,
4.526315789473684,
3.9,
3.6842105263157894,
4.2631578947368425,
4.409090909090909,
4.0,
4.15,
4.523809523809524,
4.181818181818182,
3.727272727272727,
4.3,
3.75,
3.9473684210526314,
4.1,
3.65,
4.105263157894737,
4.1,
3.473684210526316,
4.3,
3.5238095238095237,
4.285714285714286,
4.142857142857143,
4.05,
3.761904761904762,
3.857142857142857,
4.3,
3.9473684210526314,
3.65,
3.85,
4.473684210526316,
4.4,
3.95,
3.6315789473684212,
4.619047619047619,
3.15,
4.2631578947368425,
3.55,
4.75,
4.2105263157894735,
4.368421052631579,
3.263157894736842,
4.105263157894737,
3.526315789473684,
3.388888888888889,
3.2,
4.238095238095238,
4.1,
3.789473684210526,
4.4,
3.909090909090909,
3.75,
4.2105263157894735,
4.05,
4.2105263157894735,
4.15,
3.619047619047619,
4.0,
3.9,
4.2272727272727275,
4.105263157894737,
4.0,
4.55,
4.105263157894737,
4.15,
4.1,
3.736842105263158,
4.052631578947368,
3.8421052631578947,
3.6842105263157894,
3.6666666666666665,
3.9473684210526314,
3.7,
4.368421052631579,
3.789473684210526,
4.111111111111111,
3.8,
4.473684210526316,
3.45,
3.85,
4.684210526315789,
3.9,
3.8421052631578947,
3.8,
4.0,
4.315789473684211,
3.9473684210526314,
4.05,
4.157894736842105,
4.333333333333333,
4.157894736842105,
4.2105263157894735,
4.25,
3.8,
4.0,
4.0,
4.052631578947368,
4.2,
3.85,
4.052631578947368,
4.2105263157894735,
4.473684210526316,
4.85,
3.9,
3.9,
4.555555555555555,
4.2,
4.2,
4.526315789473684,
3.6,
4.157894736842105,
3.6315789473684212,
3.3684210526315788,
3.8421052631578947,
4.0,
4.526315789473684,
3.8421052631578947,
3.6315789473684212,
3.8421052631578947,
4.45,
4.105263157894737
],
"pop_mean_aic": [
-0.3805118233443191,
-3.8347934274924156,
-8.363397786085633,
-18.376577758486935,
-18.376577758486935,
-18.376577758486935,
-18.376577758486935,
-18.376577758486935,
-18.376577758486935,
-18.42896150613054,
-18.53372900141775,
-18.53372900141775,
-18.690880244348566,
-18.795647739635776,
-18.848031487279382,
-19.214717720784623,
-19.424252711359046,
-19.424252711359046,
-19.424252711359046,
-19.424252711359046,
-19.424252711359046,
-19.424252711359046,
-19.424252711359046,
-19.424252711359046,
-19.424252711359046,
-19.424252711359046,
-19.424252711359046,
-19.424252711359046,
-19.424252711359046,
-19.424252711359046,
-19.424252711359046,
-19.424252711359046,
-19.424252711359046,
-19.424252711359046,
-19.424252711359046,
-19.424252711359046,
-19.424252711359046,
-19.424252711359046,
-19.424252711359046,
-19.424252711359046,
-19.424252711359046,
-19.424252711359046,
-19.424252711359046,
-19.424252711359046,
-19.424252711359046,
-19.424252711359046,
-19.424252711359046,
-19.424252711359046,
-19.424252711359046,
-19.424252711359046,
-19.424252711359046,
-19.424252711359046,
-19.424252711359046,
-19.424252711359046,
-19.424252711359046,
-19.424252711359046,
-19.424252711359046,
-19.424252711359046,
-19.424252711359046,
-19.424252711359046,
-19.424252711359046,
-19.424252711359046,
-19.424252711359046,
-19.424252711359046,
-19.424252711359046,
-19.424252711359046,
-19.424252711359046,
-19.424252711359046,
-19.424252711359046,
-19.424252711359046,
-19.424252711359046,
-19.424252711359046,
-19.424252711359046,
-19.424252711359046,
-19.424252711359046,
-19.424252711359046,
-19.424252711359046,
-19.424252711359046,
-19.424252711359046,
-19.424252711359046,
-19.424252711359046,
-19.424252711359046,
-19.424252711359046,
-19.424252711359046,
-19.424252711359046,
-19.424252711359046,
-19.424252711359046,
-19.424252711359046,
-19.424252711359046,
-19.424252711359046,
-19.424252711359046,
-19.424252711359046,
-19.424252711359046,
-19.424252711359046,
-19.424252711359046,
-19.424252711359046,
-19.424252711359046,
-19.424252711359046,
-19.424252711359046,
-19.424252711359046,
-19.424252711359046,
-19.424252711359046,
-19.424252711359046,
-19.424252711359046,
-19.424252711359046,
-19.424252711359046,
-19.424252711359046,
-19.424252711359046,
-19.424252711359046,
-19.424252711359046,
-19.424252711359046,
-19.424252711359046,
-19.424252711359046,
-19.424252711359046,
-19.424252711359046,
-19.424252711359046,
-19.424252711359046,
-19.424252711359046,
-19.424252711359046,
-19.424252711359046,
-19.424252711359046,
-19.424252711359046,
-19.424252711359046,
-19.424252711359046,
-19.424252711359046,
-19.424252711359046,
-19.424252711359046,
-19.424252711359046,
-19.424252711359046,
-19.424252711359046,
-19.424252711359046,
-19.424252711359046,
-19.424252711359046,
-19.424252711359046,
-19.424252711359046,
-19.424252711359046,
-19.424252711359046,
-19.424252711359046,
-19.424252711359046,
-19.424252711359046,
-19.424252711359046,
-19.424252711359046,
-19.424252711359046,
-19.424252711359046,
-19.424252711359046,
-19.424252711359046,
-19.424252711359046,
-19.424252711359046,
-19.424252711359046,
-19.424252711359046,
-19.424252711359046,
-19.424252711359046,
-19.424252711359046,
-19.424252711359046,
-19.424252711359046,
-19.424252711359046,
-19.424252711359046,
-19.424252711359046,
-19.424252711359046,
-19.424252711359046,
-19.424252711359046,
-19.424252711359046,
-19.424252711359046,
-19.424252711359046,
-19.424252711359046,
-19.424252711359046,
-19.424252711359046,
-19.424252711359046,
-19.424252711359046,
-19.424252711359046,
-19.424252711359046,
-19.424252711359046,
-19.424252711359046,
-19.424252711359046,
-19.424252711359046,
-19.424252711359046,
-19.424252711359046,
-19.424252711359046,
-19.424252711359046,
-19.424252711359046,
-19.424252711359046,
-19.424252711359046,
-19.424252711359046,
-19.424252711359046,
-19.424252711359046,
-19.424252711359046,
-19.424252711359046,
-19.424252711359046,
-19.424252711359046,
-19.424252711359046,
-19.424252711359046,
-19.424252711359046,
-19.424252711359046,
-19.424252711359046,
-19.424252711359046,
-19.424252711359046,
-19.424252711359046,
-19.424252711359046,
-19.424252711359046,
-19.424252711359046
],
"_best_score": [
-18.37657775848694,
-18.37657775848694,
-18.37657775848694,
-18.37657775848694,
-18.37657775848694,
-18.37657775848694,
-18.37657775848694,
-18.37657775848694,
-18.37657775848694,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905,
-19.42425271135905
],
"_best_expr": [
"u_t = -0.0025*diff2_x(diff_x(u)) - 1*mul(u_x, u)",
"u_t = -0.0025*diff2_x(diff_x(u)) - 1*mul(u_x, u)",
"u_t = -0.0025*diff2_x(diff_x(u)) - 1*mul(u_x, u)",
"u_t = -0.0025*diff2_x(diff_x(u)) - 1*mul(u_x, u)",
"u_t = -0.0025*diff2_x(diff_x(u)) - 1*mul(u_x, u)",
"u_t = -0.0025*diff2_x(diff_x(u)) - 1*mul(u_x, u)",
"u_t = -0.0025*diff2_x(diff_x(u)) - 1*mul(u_x, u)",
"u_t = -0.0025*diff2_x(diff_x(u)) - 1*mul(u_x, u)",
"u_t = -0.0025*diff2_x(diff_x(u)) - 1*mul(u_x, u)",
"u_t = -0.0025*diff2_x(diff_x(u)) - 0.5*diff_x(mul(u, u))",
"u_t = -0.0025*diff2_x(diff_x(u)) - 0.5*diff_x(mul(u, u))",
"u_t = -0.0025*diff2_x(diff_x(u)) - 0.5*diff_x(mul(u, u))",
"u_t = -0.0025*diff2_x(diff_x(u)) - 0.5*diff_x(mul(u, u))",
"u_t = -0.0025*diff2_x(diff_x(u)) - 0.5*diff_x(mul(u, u))",
"u_t = -0.0025*diff2_x(diff_x(u)) - 0.5*diff_x(mul(u, u))",
"u_t = -0.0025*diff2_x(diff_x(u)) - 0.5*diff_x(mul(u, u))",
"u_t = -0.0025*diff2_x(diff_x(u)) - 0.5*diff_x(mul(u, u))",
"u_t = -0.0025*diff2_x(diff_x(u)) - 0.5*diff_x(mul(u, u))",
"u_t = -0.0025*diff2_x(diff_x(u)) - 0.5*diff_x(mul(u, u))",
"u_t = -0.0025*diff2_x(diff_x(u)) - 0.5*diff_x(mul(u, u))",
"u_t = -0.0025*diff2_x(diff_x(u)) - 0.5*diff_x(mul(u, u))",
"u_t = -0.0025*diff2_x(diff_x(u)) - 0.5*diff_x(mul(u, u))",
"u_t = -0.0025*diff2_x(diff_x(u)) - 0.5*diff_x(mul(u, u))",
"u_t = -0.0025*diff2_x(diff_x(u)) - 0.5*diff_x(mul(u, u))",
"u_t = -0.0025*diff2_x(diff_x(u)) - 0.5*diff_x(mul(u, u))",
"u_t = -0.0025*diff2_x(diff_x(u)) - 0.5*diff_x(mul(u, u))",
"u_t = -0.0025*diff2_x(diff_x(u)) - 0.5*diff_x(mul(u, u))",
"u_t = -0.0025*diff2_x(diff_x(u)) - 0.5*diff_x(mul(u, u))",
"u_t = -0.0025*diff2_x(diff_x(u)) - 0.5*diff_x(mul(u, u))",
"u_t = -0.0025*diff2_x(diff_x(u)) - 0.5*diff_x(mul(u, u))",
"u_t = -0.0025*diff2_x(diff_x(u)) - 0.5*diff_x(mul(u, u))",
"u_t = -0.0025*diff2_x(diff_x(u)) - 0.5*diff_x(mul(u, u))",
"u_t = -0.0025*diff2_x(diff_x(u)) - 0.5*diff_x(mul(u, u))",
"u_t = -0.0025*diff2_x(diff_x(u)) - 0.5*diff_x(mul(u, u))",
"u_t = -0.0025*diff2_x(diff_x(u)) - 0.5*diff_x(mul(u, u))",
"u_t = -0.0025*diff2_x(diff_x(u)) - 0.5*diff_x(mul(u, u))",
"u_t = -0.0025*diff2_x(diff_x(u)) - 0.5*diff_x(mul(u, u))",
"u_t = -0.0025*diff2_x(diff_x(u)) - 0.5*diff_x(mul(u, u))",
"u_t = -0.0025*diff2_x(diff_x(u)) - 0.5*diff_x(mul(u, u))",
"u_t = -0.0025*diff2_x(diff_x(u)) - 0.5*diff_x(mul(u, u))",
"u_t = -0.0025*diff2_x(diff_x(u)) - 0.5*diff_x(mul(u, u))",
"u_t = -0.0025*diff2_x(diff_x(u)) - 0.5*diff_x(mul(u, u))",
"u_t = -0.0025*diff2_x(diff_x(u)) - 0.5*diff_x(mul(u, u))",
"u_t = -0.0025*diff2_x(diff_x(u)) - 0.5*diff_x(mul(u, u))",
"u_t = -0.0025*diff2_x(diff_x(u)) - 0.5*diff_x(mul(u, u))",
"u_t = -0.0025*diff2_x(diff_x(u)) - 0.5*diff_x(mul(u, u))",
"u_t = -0.0025*diff2_x(diff_x(u)) - 0.5*diff_x(mul(u, u))",
"u_t = -0.0025*diff2_x(diff_x(u)) - 0.5*diff_x(mul(u, u))",
"u_t = -0.0025*diff2_x(diff_x(u)) - 0.5*diff_x(mul(u, u))",
"u_t = -0.0025*diff2_x(diff_x(u)) - 0.5*diff_x(mul(u, u))",
"u_t = -0.0025*diff2_x(diff_x(u)) - 0.5*diff_x(mul(u, u))",
"u_t = -0.0025*diff2_x(diff_x(u)) - 0.5*diff_x(mul(u, u))",
"u_t = -0.0025*diff2_x(diff_x(u)) - 0.5*diff_x(mul(u, u))",
"u_t = -0.0025*diff2_x(diff_x(u)) - 0.5*diff_x(mul(u, u))",
"u_t = -0.0025*diff2_x(diff_x(u)) - 0.5*diff_x(mul(u, u))",
"u_t = -0.0025*diff2_x(diff_x(u)) - 0.5*diff_x(mul(u, u))",
"u_t = -0.0025*diff2_x(diff_x(u)) - 0.5*diff_x(mul(u, u))",
"u_t = -0.0025*diff2_x(diff_x(u)) - 0.5*diff_x(mul(u, u))",
"u_t = -0.0025*diff2_x(diff_x(u)) - 0.5*diff_x(mul(u, u))",
"u_t = -0.0025*diff2_x(diff_x(u)) - 0.5*diff_x(mul(u, u))",
"u_t = -0.0025*diff2_x(diff_x(u)) - 0.5*diff_x(mul(u, u))",
"u_t = -0.0025*diff2_x(diff_x(u)) - 0.5*diff_x(mul(u, u))",
"u_t = -0.0025*diff2_x(diff_x(u)) - 0.5*diff_x(mul(u, u))",
"u_t = -0.0025*diff2_x(diff_x(u)) - 0.5*diff_x(mul(u, u))",
"u_t = -0.0025*diff2_x(diff_x(u)) - 0.5*diff_x(mul(u, u))",
"u_t = -0.0025*diff2_x(diff_x(u)) - 0.5*diff_x(mul(u, u))",
"u_t = -0.0025*diff2_x(diff_x(u)) - 0.5*diff_x(mul(u, u))",
"u_t = -0.0025*diff2_x(diff_x(u)) - 0.5*diff_x(mul(u, u))",
"u_t = -0.0025*diff2_x(diff_x(u)) - 0.5*diff_x(mul(u, u))",
"u_t = -0.0025*diff2_x(diff_x(u)) - 0.5*diff_x(mul(u, u))",
"u_t = -0.0025*diff2_x(diff_x(u)) - 0.5*diff_x(mul(u, u))",
"u_t = -0.0025*diff2_x(diff_x(u)) - 0.5*diff_x(mul(u, u))",
"u_t = -0.0025*diff2_x(diff_x(u)) - 0.5*diff_x(mul(u, u))",
"u_t = -0.0025*diff2_x(diff_x(u)) - 0.5*diff_x(mul(u, u))",
"u_t = -0.0025*diff2_x(diff_x(u)) - 0.5*diff_x(mul(u, u))",
"u_t = -0.0025*diff2_x(diff_x(u)) - 0.5*diff_x(mul(u, u))",
"u_t = -0.0025*diff2_x(diff_x(u)) - 0.5*diff_x(mul(u, u))",
"u_t = -0.0025*diff2_x(diff_x(u)) - 0.5*diff_x(mul(u, u))",
"u_t = -0.0025*diff2_x(diff_x(u)) - 0.5*diff_x(mul(u, u))",
"u_t = -0.0025*diff2_x(diff_x(u)) - 0.5*diff_x(mul(u, u))",
"u_t = -0.0025*diff2_x(diff_x(u)) - 0.5*diff_x(mul(u, u))",
"u_t = -0.0025*diff2_x(diff_x(u)) - 0.5*diff_x(mul(u, u))",
"u_t = -0.0025*diff2_x(diff_x(u)) - 0.5*diff_x(mul(u, u))",
"u_t = -0.0025*diff2_x(diff_x(u)) - 0.5*diff_x(mul(u, u))",
"u_t = -0.0025*diff2_x(diff_x(u)) - 0.5*diff_x(mul(u, u))",
"u_t = -0.0025*diff2_x(diff_x(u)) - 0.5*diff_x(mul(u, u))",
"u_t = -0.0025*diff2_x(diff_x(u)) - 0.5*diff_x(mul(u, u))",
"u_t = -0.0025*diff2_x(diff_x(u)) - 0.5*diff_x(mul(u, u))",
"u_t = -0.0025*diff2_x(diff_x(u)) - 0.5*diff_x(mul(u, u))",
"u_t = -0.0025*diff2_x(diff_x(u)) - 0.5*diff_x(mul(u, u))",
"u_t = -0.0025*diff2_x(diff_x(u)) - 0.5*diff_x(mul(u, u))",
"u_t = -0.0025*diff2_x(diff_x(u)) - 0.5*diff_x(mul(u, u))",
"u_t = -0.0025*diff2_x(diff_x(u)) - 0.5*diff_x(mul(u, u))",
"u_t = -0.0025*diff2_x(diff_x(u)) - 0.5*diff_x(mul(u, u))",
"u_t = -0.0025*diff2_x(diff_x(u)) - 0.5*diff_x(mul(u, u))",
"u_t = -0.0025*diff2_x(diff_x(u)) - 0.5*diff_x(mul(u, u))",
"u_t = -0.0025*diff2_x(diff_x(u)) - 0.5*diff_x(mul(u, u))",
"u_t = -0.0025*diff2_x(diff_x(u)) - 0.5*diff_x(mul(u, u))",
"u_t = -0.0025*diff2_x(diff_x(u)) - 0.5*diff_x(mul(u, u))",
"u_t = -0.0025*diff2_x(diff_x(u)) - 0.5*diff_x(mul(u, u))",
"u_t = -0.0025*diff2_x(diff_x(u)) - 0.5*diff_x(mul(u, u))",
"u_t = -0.0025*diff2_x(diff_x(u)) - 0.5*diff_x(mul(u, u))",
"u_t = -0.0025*diff2_x(diff_x(u)) - 0.5*diff_x(mul(u, u))",
"u_t = -0.0025*diff2_x(diff_x(u)) - 0.5*diff_x(mul(u, u))",
"u_t = -0.0025*diff2_x(diff_x(u)) - 0.5*diff_x(mul(u, u))",
"u_t = -0.0025*diff2_x(diff_x(u)) - 0.5*diff_x(mul(u, u))",
"u_t = -0.0025*diff2_x(diff_x(u)) - 0.5*diff_x(mul(u, u))",
"u_t = -0.0025*diff2_x(diff_x(u)) - 0.5*diff_x(mul(u, u))",
"u_t = -0.0025*diff2_x(diff_x(u)) - 0.5*diff_x(mul(u, u))",
"u_t = -0.0025*diff2_x(diff_x(u)) - 0.5*diff_x(mul(u, u))",
"u_t = -0.0025*diff2_x(diff_x(u)) - 0.5*diff_x(mul(u, u))",
"u_t = -0.0025*diff2_x(diff_x(u)) - 0.5*diff_x(mul(u, u))",
"u_t = -0.0025*diff2_x(diff_x(u)) - 0.5*diff_x(mul(u, u))",
"u_t = -0.0025*diff2_x(diff_x(u)) - 0.5*diff_x(mul(u, u))",
"u_t = -0.0025*diff2_x(diff_x(u)) - 0.5*diff_x(mul(u, u))",
"u_t = -0.0025*diff2_x(diff_x(u)) - 0.5*diff_x(mul(u, u))",
"u_t = -0.0025*diff2_x(diff_x(u)) - 0.5*diff_x(mul(u, u))",
"u_t = -0.0025*diff2_x(diff_x(u)) - 0.5*diff_x(mul(u, u))",
"u_t = -0.0025*diff2_x(diff_x(u)) - 0.5*diff_x(mul(u, u))",
"u_t = -0.0025*diff2_x(diff_x(u)) - 0.5*diff_x(mul(u, u))",
"u_t = -0.0025*diff2_x(diff_x(u)) - 0.5*diff_x(mul(u, u))",
"u_t = -0.0025*diff2_x(diff_x(u)) - 0.5*diff_x(mul(u, u))",
"u_t = -0.0025*diff2_x(diff_x(u)) - 0.5*diff_x(mul(u, u))",
"u_t = -0.0025*diff2_x(diff_x(u)) - 0.5*diff_x(mul(u, u))",
"u_t = -0.0025*diff2_x(diff_x(u)) - 0.5*diff_x(mul(u, u))",
"u_t = -0.0025*diff2_x(diff_x(u)) - 0.5*diff_x(mul(u, u))",
"u_t = -0.0025*diff2_x(diff_x(u)) - 0.5*diff_x(mul(u, u))",
"u_t = -0.0025*diff2_x(diff_x(u)) - 0.5*diff_x(mul(u, u))",
"u_t = -0.0025*diff2_x(diff_x(u)) - 0.5*diff_x(mul(u, u))",
"u_t = -0.0025*diff2_x(diff_x(u)) - 0.5*diff_x(mul(u, u))",
"u_t = -0.0025*diff2_x(diff_x(u)) - 0.5*diff_x(mul(u, u))",
"u_t = -0.0025*diff2_x(diff_x(u)) - 0.5*diff_x(mul(u, u))",
"u_t = -0.0025*diff2_x(diff_x(u)) - 0.5*diff_x(mul(u, u))",
"u_t = -0.0025*diff2_x(diff_x(u)) - 0.5*diff_x(mul(u, u))",
"u_t = -0.0025*diff2_x(diff_x(u)) - 0.5*diff_x(mul(u, u))",
"u_t = -0.0025*diff2_x(diff_x(u)) - 0.5*diff_x(mul(u, u))",
"u_t = -0.0025*diff2_x(diff_x(u)) - 0.5*diff_x(mul(u, u))",
"u_t = -0.0025*diff2_x(diff_x(u)) - 0.5*diff_x(mul(u, u))",
"u_t = -0.0025*diff2_x(diff_x(u)) - 0.5*diff_x(mul(u, u))",
"u_t = -0.0025*diff2_x(diff_x(u)) - 0.5*diff_x(mul(u, u))",
"u_t = -0.0025*diff2_x(diff_x(u)) - 0.5*diff_x(mul(u, u))",
"u_t = -0.0025*diff2_x(diff_x(u)) - 0.5*diff_x(mul(u, u))",
"u_t = -0.0025*diff2_x(diff_x(u)) - 0.5*diff_x(mul(u, u))",
"u_t = -0.0025*diff2_x(diff_x(u)) - 0.5*diff_x(mul(u, u))",
"u_t = -0.0025*diff2_x(diff_x(u)) - 0.5*diff_x(mul(u, u))",
"u_t = -0.0025*diff2_x(diff_x(u)) - 0.5*diff_x(mul(u, u))",
"u_t = -0.0025*diff2_x(diff_x(u)) - 0.5*diff_x(mul(u, u))",
"u_t = -0.0025*diff2_x(diff_x(u)) - 0.5*diff_x(mul(u, u))",
"u_t = -0.0025*diff2_x(diff_x(u)) - 0.5*diff_x(mul(u, u))",
"u_t = -0.0025*diff2_x(diff_x(u)) - 0.5*diff_x(mul(u, u))",
"u_t = -0.0025*diff2_x(diff_x(u)) - 0.5*diff_x(mul(u, u))",
"u_t = -0.0025*diff2_x(diff_x(u)) - 0.5*diff_x(mul(u, u))",
"u_t = -0.0025*diff2_x(diff_x(u)) - 0.5*diff_x(mul(u, u))",
"u_t = -0.0025*diff2_x(diff_x(u)) - 0.5*diff_x(mul(u, u))",
"u_t = -0.0025*diff2_x(diff_x(u)) - 0.5*diff_x(mul(u, u))",
"u_t = -0.0025*diff2_x(diff_x(u)) - 0.5*diff_x(mul(u, u))",
"u_t = -0.0025*diff2_x(diff_x(u)) - 0.5*diff_x(mul(u, u))",
"u_t = -0.0025*diff2_x(diff_x(u)) - 0.5*diff_x(mul(u, u))",
"u_t = -0.0025*diff2_x(diff_x(u)) - 0.5*diff_x(mul(u, u))",
"u_t = -0.0025*diff2_x(diff_x(u)) - 0.5*diff_x(mul(u, u))",
"u_t = -0.0025*diff2_x(diff_x(u)) - 0.5*diff_x(mul(u, u))",
"u_t = -0.0025*diff2_x(diff_x(u)) - 0.5*diff_x(mul(u, u))",
"u_t = -0.0025*diff2_x(diff_x(u)) - 0.5*diff_x(mul(u, u))",
"u_t = -0.0025*diff2_x(diff_x(u)) - 0.5*diff_x(mul(u, u))",
"u_t = -0.0025*diff2_x(diff_x(u)) - 0.5*diff_x(mul(u, u))",
"u_t = -0.0025*diff2_x(diff_x(u)) - 0.5*diff_x(mul(u, u))",
"u_t = -0.0025*diff2_x(diff_x(u)) - 0.5*diff_x(mul(u, u))",
"u_t = -0.0025*diff2_x(diff_x(u)) - 0.5*diff_x(mul(u, u))",
"u_t = -0.0025*diff2_x(diff_x(u)) - 0.5*diff_x(mul(u, u))",
"u_t = -0.0025*diff2_x(diff_x(u)) - 0.5*diff_x(mul(u, u))",
"u_t = -0.0025*diff2_x(diff_x(u)) - 0.5*diff_x(mul(u, u))",
"u_t = -0.0025*diff2_x(diff_x(u)) - 0.5*diff_x(mul(u, u))",
"u_t = -0.0025*diff2_x(diff_x(u)) - 0.5*diff_x(mul(u, u))",
"u_t = -0.0025*diff2_x(diff_x(u)) - 0.5*diff_x(mul(u, u))",
"u_t = -0.0025*diff2_x(diff_x(u)) - 0.5*diff_x(mul(u, u))",
"u_t = -0.0025*diff2_x(diff_x(u)) - 0.5*diff_x(mul(u, u))",
"u_t = -0.0025*diff2_x(diff_x(u)) - 0.5*diff_x(mul(u, u))",
"u_t = -0.0025*diff2_x(diff_x(u)) - 0.5*diff_x(mul(u, u))",
"u_t = -0.0025*diff2_x(diff_x(u)) - 0.5*diff_x(mul(u, u))",
"u_t = -0.0025*diff2_x(diff_x(u)) - 0.5*diff_x(mul(u, u))",
"u_t = -0.0025*diff2_x(diff_x(u)) - 0.5*diff_x(mul(u, u))",
"u_t = -0.0025*diff2_x(diff_x(u)) - 0.5*diff_x(mul(u, u))",
"u_t = -0.0025*diff2_x(diff_x(u)) - 0.5*diff_x(mul(u, u))",
"u_t = -0.0025*diff2_x(diff_x(u)) - 0.5*diff_x(mul(u, u))",
"u_t = -0.0025*diff2_x(diff_x(u)) - 0.5*diff_x(mul(u, u))",
"u_t = -0.0025*diff2_x(diff_x(u)) - 0.5*diff_x(mul(u, u))",
"u_t = -0.0025*diff2_x(diff_x(u)) - 0.5*diff_x(mul(u, u))",
"u_t = -0.0025*diff2_x(diff_x(u)) - 0.5*diff_x(mul(u, u))",
"u_t = -0.0025*diff2_x(diff_x(u)) - 0.5*diff_x(mul(u, u))",
"u_t = -0.0025*diff2_x(diff_x(u)) - 0.5*diff_x(mul(u, u))",
"u_t = -0.0025*diff2_x(diff_x(u)) - 0.5*diff_x(mul(u, u))",
"u_t = -0.0025*diff2_x(diff_x(u)) - 0.5*diff_x(mul(u, u))",
"u_t = -0.0025*diff2_x(diff_x(u)) - 0.5*diff_x(mul(u, u))",
"u_t = -0.0025*diff2_x(diff_x(u)) - 0.5*diff_x(mul(u, u))",
"u_t = -0.0025*diff2_x(diff_x(u)) - 0.5*diff_x(mul(u, u))",
"u_t = -0.0025*diff2_x(diff_x(u)) - 0.5*diff_x(mul(u, u))",
"u_t = -0.0025*diff2_x(diff_x(u)) - 0.5*diff_x(mul(u, u))",
"u_t = -0.0025*diff2_x(diff_x(u)) - 0.5*diff_x(mul(u, u))",
"u_t = -0.0025*diff2_x(diff_x(u)) - 0.5*diff_x(mul(u, u))",
"u_t = -0.0025*diff2_x(diff_x(u)) - 0.5*diff_x(mul(u, u))"
],
"_n_candidates": [
34,
32,
33,
38,
35,
37,
36,
29,
26,
28,
28,
29,
29,
32,
30,
33,
28,
34,
27,
33,
32,
34,
27,
27,
26,
27,
28,
29,
25,
29,
26,
21,
22,
26,
26,
26,
23,
25,
23,
20,
22,
25,
23,
21,
26,
21,
25,
23,
21,
21,
23,
21,
22,
19,
22,
21,
21,
20,
21,
20,
20,
19,
21,
22,
23,
20,
19,
22,
20,
19,
21,
23,
20,
21,
19,
21,
22,
21,
20,
21,
19,
20,
19,
19,
22,
22,
20,
21,
22,
22,
20,
20,
19,
20,
20,
19,
20,
19,
20,
21,
21,
21,
20,
21,
21,
20,
19,
20,
20,
19,
20,
20,
19,
21,
20,
19,
20,
20,
19,
19,
19,
19,
19,
18,
20,
21,
20,
19,
20,
22,
20,
19,
20,
19,
20,
21,
20,
20,
22,
19,
21,
20,
19,
20,
20,
19,
19,
19,
19,
21,
19,
20,
19,
19,
18,
20,
19,
20,
20,
19,
20,
19,
20,
19,
19,
19,
20,
19,
21,
19,
19,
20,
20,
19,
19,
19,
20,
20,
19,
19,
19,
20,
20,
20,
18,
20,
20,
19,
20,
19,
19,
19,
19,
18,
19,
19,
19,
19,
20,
19
]
},
"lhs_label": "u_t",
"equation": {
"form": "EVOLUTION",
"lhs_spec": {
"field": "u",
"axis": "t",
"order": 1
},
"terms": [
[
"u",
{
"kind": "Scalar",
"value": 0.0
}
],
[
"diff2_x(diff_x(u))",
{
"kind": "Scalar",
"value": -0.0025000916551076915
}
],
[
"diff_x(mul(u, u))",
{
"kind": "Scalar",
"value": -0.4999985074958254
}
],
[
"mul(x, x)",
{
"kind": "Scalar",
"value": 0.0
}
],
[
"n3(x)",
{
"kind": "Scalar",
"value": 0.0
}
],
[
"n3(x)",
{
"kind": "Scalar",
"value": 0.0
}
]
],
"attrs": null,
"active_indices": [
1,
2
]
},
"manifest": {
"dataset_cache_fingerprint": "kdv:grid:u:t:lhs_order=1:x,t:periodic=t=N,x=N_u(256, 201)_136ebae0",
"kd_version": "0.6.0",
"seed": 42,
"terms": null,
"artifacts": null,
"resumed": false,
"resume_source": null
},
"run_record": {
"schema_version": 2,
"evidence_hash_scheme": "kd-evidence-v1",
"created_at": "2026-08-20T16:33:04+00:00",
"cost": {
"wallclock_seconds": 166.25545699428767,
"search_seconds": 166.2511900612153,
"boundary_results": 4369,
"boundary_invalid_results": 0,
"preprocessing_seconds": 0.00426693307235837,
"surrogate_train_seconds": null,
"cpu_seconds": 306.307354,
"tokens_in": null,
"tokens_out": null,
"tokens_cached": null,
"api_cost_usd": null
},
"evidence": {
"instrument": "sga",
"dataset_name": "kdv",
"dataset_cache_fingerprint": "kdv:grid:u:t:lhs_order=1:x,t:periodic=t=N,x=N_u(256, 201)_136ebae0",
"seed": 42,
"is_valid": true,
"expression": "u_t = -0.0025*diff2_x(diff_x(u)) - 0.5*diff_x(mul(u, u))",
"score_kind": "AIC",
"score_direction": "min",
"headline_coefficient_source": "native",
"catalog_fit": {
"form": "EVOLUTION",
"lhs_spec": {
"field": "u",
"axis": "t",
"order": 1
},
"terms": [
[
"u",
{
"kind": "Scalar",
"value": 0.0
}
],
[
"diff2_x(diff_x(u))",
{
"kind": "Scalar",
"value": -0.0025000916551076915
}
],
[
"diff_x(mul(u, u))",
{
"kind": "Scalar",
"value": -0.4999985074958254
}
],
[
"mul(x, x)",
{
"kind": "Scalar",
"value": 0.0
}
],
[
"n3(x)",
{
"kind": "Scalar",
"value": 0.0
}
],
[
"n3(x)",
{
"kind": "Scalar",
"value": 0.0
}
]
],
"attrs": null,
"active_indices": [
1,
2
]
},
"support": [
"diff2_x(diff_x(u))",
"diff_x(mul(u, u))"
],
"coefficients": [
-0.0025000916551076915,
-0.4999985074958254
],
"complexity": 2,
"mse": 8.193852699097616e-06,
"nmse": 2.7044565565140296e-06,
"r2": 0.9999972955434435,
"score": -19.42425271135905,
"residual_stats": {
"mean": 7.39553926372636e-06,
"std": 0.002862508907778989,
"max_abs": 0.09435883648220617,
"n": 51456
},
"invalid_reason": null,
"error_detail": null
},
"evidence_hash": "c978127e43b2cb36f69e86200a891463b9c67bd475aa15fc3222fe3b86bac91b",
"run_spec": {
"kd_version": "0.6.0",
"config": {
"aic_ratio": 1.0,
"algorithm": "sga",
"autograd_train_epochs": 1000,
"autograd_train_lr": 0.001,
"autograd_train_patience": null,
"autograd_train_val_ratio": 0.0,
"d_tol": 1.0,
"dedup_mode": "pre_prune",
"depth": 4,
"field_model": null,
"lam": 0.0,
"maxit": 10,
"normalize": 2,
"num": 20,
"p_cro": 0.5,
"p_mute": 0.3,
"p_rep": 1.0,
"p_var": 0.5,
"provider_kind": "finite_diff",
"seed": 42,
"str_iters": 10,
"use_autograd": false,
"width": 5
},
"dataset_cache_fingerprint": "kdv:grid:u:t:lhs_order=1:x,t:periodic=t=N,x=N_u(256, 201)_136ebae0",
"library_fingerprint": null,
"artifacts": null,
"config_canon_scheme": "kd-config-v1"
},
"run_spec_hash": "a9bff9d8248174817f308f975436550643ea8fd8e2741e45205d92e8eb100a00",
"run_spec_hash_scheme": "kd-runspec-v1",
"record_hash": "92d66f9fb89b71311b7ced0eb4aa83a3ec60bd227643e2d464b21f381e2e4044",
"record_hash_scheme": "kd-record-v1"
},
"score_kind": "AIC",
"score_direction": "min"
}