{
  "seed": 7,
  "remainder_scaling": {
    "eps": [
      0.2,
      0.1,
      0.05,
      0.025,
      0.0125
    ],
    "errors": [
      0.0017621754139063393,
      0.0004625970685609112,
      0.00011797622505652003,
      2.9759507723248614e-05,
      7.4715264576591645e-06
    ],
    "loglog_slope": 1.9721811171070607,
    "halve_error_ratios": [
      3.8093095128948264,
      3.9211041745003308,
      3.9643204502457237,
      3.983055924635284
    ]
  },
  "stability_boundary": [
    {
      "a": 0.8,
      "rho": 0.8,
      "growth_factor": 0.00013292279957849188,
      "decays": true
    },
    {
      "a": 0.95,
      "rho": 0.95,
      "growth_factor": 0.12851215656510304,
      "decays": true
    },
    {
      "a": 0.99,
      "rho": 0.99,
      "growth_factor": 0.6689717585696802,
      "decays": true
    },
    {
      "a": 1.0,
      "rho": 1.0,
      "growth_factor": 1.0,
      "decays": false
    },
    {
      "a": 1.01,
      "rho": 1.01,
      "growth_factor": 1.4888637335882218,
      "decays": false
    },
    {
      "a": 1.1,
      "rho": 1.1,
      "growth_factor": 45.2592555681761,
      "decays": false
    }
  ],
  "mini_experiment": [
    {
      "radius": 0.03,
      "rho_at_start": 0.9428688512981775,
      "nonlinear_final_norm": 0.07638155591134918,
      "frozen_final_norm": 0.07557071914576116,
      "frozen_rmse": 0.001140473577503868,
      "clipped_frozen_rmse": 0.001140473577503868,
      "frozen_max_norm": 0.11490266154726733,
      "nonlinear_max_norm": 0.11466480234428626
    },
    {
      "radius": 0.1,
      "rho_at_start": 0.9409902794934899,
      "nonlinear_final_norm": 0.06888347640404392,
      "frozen_final_norm": 0.06991584206329184,
      "frozen_rmse": 0.002955624760528128,
      "clipped_frozen_rmse": 0.002955624760528128,
      "frozen_max_norm": 0.13715563476791875,
      "nonlinear_max_norm": 0.13675468567409152
    },
    {
      "radius": 0.25,
      "rho_at_start": 0.9368515524866491,
      "nonlinear_final_norm": 0.057830226087935886,
      "frozen_final_norm": 0.07089105545393747,
      "frozen_rmse": 0.01605656919598693,
      "clipped_frozen_rmse": 0.01605656919598693,
      "frozen_max_norm": 0.25,
      "nonlinear_max_norm": 0.25
    },
    {
      "radius": 0.5,
      "rho_at_start": 0.9298293599465564,
      "nonlinear_final_norm": 0.05859774019114713,
      "frozen_final_norm": 0.10929955881950869,
      "frozen_rmse": 0.06749822826064344,
      "clipped_frozen_rmse": 0.06749822826064344,
      "frozen_max_norm": 0.5,
      "nonlinear_max_norm": 0.5
    },
    {
      "radius": 0.9,
      "rho_at_start": 0.9218356064930746,
      "nonlinear_final_norm": 0.09238861304221982,
      "frozen_final_norm": 0.19817136513151218,
      "frozen_rmse": 0.16175709173536104,
      "clipped_frozen_rmse": 0.16175709173536104,
      "frozen_max_norm": 0.9,
      "nonlinear_max_norm": 0.9
    }
  ],
  "notes": "Frozen rollout uses exact local analytic Jacobian; clipping rescales A and recomputes c."
}