1{
  2  "seed": 7,
  3  "remainder_scaling": {
  4    "eps": [
  5      0.2,
  6      0.1,
  7      0.05,
  8      0.025,
  9      0.0125
 10    ],
 11    "errors": [
 12      0.0017621754139063393,
 13      0.0004625970685609112,
 14      0.00011797622505652003,
 15      2.9759507723248614e-05,
 16      7.4715264576591645e-06
 17    ],
 18    "loglog_slope": 1.9721811171070607,
 19    "halve_error_ratios": [
 20      3.8093095128948264,
 21      3.9211041745003308,
 22      3.9643204502457237,
 23      3.983055924635284
 24    ]
 25  },
 26  "stability_boundary": [
 27    {
 28      "a": 0.8,
 29      "rho": 0.8,
 30      "growth_factor": 0.00013292279957849188,
 31      "decays": true
 32    },
 33    {
 34      "a": 0.95,
 35      "rho": 0.95,
 36      "growth_factor": 0.12851215656510304,
 37      "decays": true
 38    },
 39    {
 40      "a": 0.99,
 41      "rho": 0.99,
 42      "growth_factor": 0.6689717585696802,
 43      "decays": true
 44    },
 45    {
 46      "a": 1.0,
 47      "rho": 1.0,
 48      "growth_factor": 1.0,
 49      "decays": false
 50    },
 51    {
 52      "a": 1.01,
 53      "rho": 1.01,
 54      "growth_factor": 1.4888637335882218,
 55      "decays": false
 56    },
 57    {
 58      "a": 1.1,
 59      "rho": 1.1,
 60      "growth_factor": 45.2592555681761,
 61      "decays": false
 62    }
 63  ],
 64  "mini_experiment": [
 65    {
 66      "radius": 0.03,
 67      "rho_at_start": 0.9428688512981775,
 68      "nonlinear_final_norm": 0.07638155591134918,
 69      "frozen_final_norm": 0.07557071914576116,
 70      "frozen_rmse": 0.001140473577503868,
 71      "clipped_frozen_rmse": 0.001140473577503868,
 72      "frozen_max_norm": 0.11490266154726733,
 73      "nonlinear_max_norm": 0.11466480234428626
 74    },
 75    {
 76      "radius": 0.1,
 77      "rho_at_start": 0.9409902794934899,
 78      "nonlinear_final_norm": 0.06888347640404392,
 79      "frozen_final_norm": 0.06991584206329184,
 80      "frozen_rmse": 0.002955624760528128,
 81      "clipped_frozen_rmse": 0.002955624760528128,
 82      "frozen_max_norm": 0.13715563476791875,
 83      "nonlinear_max_norm": 0.13675468567409152
 84    },
 85    {
 86      "radius": 0.25,
 87      "rho_at_start": 0.9368515524866491,
 88      "nonlinear_final_norm": 0.057830226087935886,
 89      "frozen_final_norm": 0.07089105545393747,
 90      "frozen_rmse": 0.01605656919598693,
 91      "clipped_frozen_rmse": 0.01605656919598693,
 92      "frozen_max_norm": 0.25,
 93      "nonlinear_max_norm": 0.25
 94    },
 95    {
 96      "radius": 0.5,
 97      "rho_at_start": 0.9298293599465564,
 98      "nonlinear_final_norm": 0.05859774019114713,
 99      "frozen_final_norm": 0.10929955881950869,
100      "frozen_rmse": 0.06749822826064344,
101      "clipped_frozen_rmse": 0.06749822826064344,
102      "frozen_max_norm": 0.5,
103      "nonlinear_max_norm": 0.5
104    },
105    {
106      "radius": 0.9,
107      "rho_at_start": 0.9218356064930746,
108      "nonlinear_final_norm": 0.09238861304221982,
109      "frozen_final_norm": 0.19817136513151218,
110      "frozen_rmse": 0.16175709173536104,
111      "clipped_frozen_rmse": 0.16175709173536104,
112      "frozen_max_norm": 0.9,
113      "nonlinear_max_norm": 0.9
114    }
115  ],
116  "notes": "Frozen rollout uses exact local analytic Jacobian; clipping rescales A and recomputes c."
117}