{
  "core_checks": {
    "removable_pole": {
      "predicted_limit": 1.5,
      "observed_at_pole": 1.5,
      "exact_error": 0.0,
      "errors_eps_1e-2_to_1e-8": [
        0.0036941000906709487,
        0.00037443785141477726,
        3.749437535160993e-05,
        3.749943750408491e-06,
        3.7499943750241016e-07,
        3.749999444302432e-08,
        3.749999866187181e-09
      ],
      "median_loglog_slope": 0.9999967749687982,
      "prediction": "limit is nu*t and off-pole error scales linearly in |s-nu|"
    },
    "mixed_sign_crossover": {
      "rows": [
        {
          "t": 0.5,
          "predicted_root": 3.512862417252341,
          "observed_grid_root": 3.5128529743000003,
          "absolute_error": 9.442952340510402e-06,
          "f_at_nu": 0.5
        },
        {
          "t": 1.0,
          "predicted_root": 1.0,
          "observed_grid_root": 1.000008,
          "absolute_error": 8.000000000008e-06,
          "f_at_nu": 1.0
        },
        {
          "t": 1.5,
          "predicted_root": 0.4171883561340502,
          "observed_grid_root": 0.41720916560000004,
          "absolute_error": 2.0809465949844785e-05,
          "f_at_nu": 1.5
        },
        {
          "t": 2.0,
          "predicted_root": 0.2031878699803456,
          "observed_grid_root": 0.20320959360000002,
          "absolute_error": 2.1723619654412385e-05,
          "f_at_nu": 2.0
        },
        {
          "t": 3.0,
          "predicted_root": 0.059520209292640375,
          "observed_grid_root": 0.05950988100000001,
          "absolute_error": 1.032829264036722e-05,
          "f_at_nu": 3.0
        }
      ],
      "example_low_f": 0.580029230684137,
      "example_high_f": 1.5537396797031404,
      "mixed_sign_observed": true,
      "prediction": "crossover moves with t and f(nu)=nu*t crosses one at t=1/nu"
    },
    "euler_stability_boundary": {
      "s": 2.0,
      "nu": 1.0,
      "predicted_boundary": 2.0,
      "observed_sweep_boundary": 1.9997449744974498,
      "absolute_error": 0.00025502550255018797,
      "factor_below_boundary": -0.9987449744974499,
      "factor_above_boundary": -1.00074497449745,
      "prediction": "|1-eta*(s-nu)|<=1; instability beyond eta=2/(s-nu)"
    },
    "euler_to_flow": [
      {
        "eta": 0.1,
        "K": 15,
        "flow_g": 1.8943739516338962,
        "euler_g": 1.8598913886692154,
        "abs_error": 0.034482562964680774
      },
      {
        "eta": 0.05,
        "K": 30,
        "flow_g": 1.8943739516338962,
        "euler_g": 1.8769340683028501,
        "abs_error": 0.01743988333104607
      },
      {
        "eta": 0.02,
        "K": 75,
        "flow_g": 1.8943739516338962,
        "euler_g": 1.8873493737589937,
        "abs_error": 0.007024577874902516
      },
      {
        "eta": 0.01,
        "K": 150,
        "flow_g": 1.8943739516338962,
        "euler_g": 1.8908534767026537,
        "abs_error": 0.003520474931242523
      }
    ]
  },
  "regression": {
    "gd": {
      "test_mse": 0.5875058031380789,
      "train_mse": 0.46805317142206726,
      "parameter_norm": 0.3604185952076434
    },
    "positive-ridge": {
      "test_mse": 0.5859457806435189,
      "train_mse": 0.47587070710307783,
      "parameter_norm": 0.338812041044348
    },
    "ns-gd": {
      "test_mse": 0.6522977096728627,
      "train_mse": 0.3875421212350622,
      "parameter_norm": 0.734711950584183
    },
    "settings": {
      "K": 30,
      "eta": 0.05,
      "nu": 1.0,
      "n_train": 120,
      "dimension": 30
    }
  }
}