1{
  2  "seed": 2208,
  3  "predictions": {
  4    "stability": "divergence when eta*(4+lambda)>2",
  5    "scaling": "eta_boundary*(4+lambda)=2",
  6    "continuation": "secant plus scalar correction tracks boundary"
  7  },
  8  "direct_sweep": [
  9    {
 10      "lambda": 0.0,
 11      "predicted_eta": 0.5,
 12      "measured_eta": 0.5,
 13      "relative_error": 0.0
 14    },
 15    {
 16      "lambda": 0.5,
 17      "predicted_eta": 0.4444444444444444,
 18      "measured_eta": 0.4445,
 19      "relative_error": 0.0001250000000000695
 20    },
 21    {
 22      "lambda": 1.0,
 23      "predicted_eta": 0.4,
 24      "measured_eta": 0.4,
 25      "relative_error": 0.0
 26    },
 27    {
 28      "lambda": 1.5,
 29      "predicted_eta": 0.36363636363636365,
 30      "measured_eta": 0.364,
 31      "relative_error": 0.0009999999999999454
 32    },
 33    {
 34      "lambda": 2.0,
 35      "predicted_eta": 0.3333333333333333,
 36      "measured_eta": 0.3335,
 37      "relative_error": 0.0005000000000001115
 38    },
 39    {
 40      "lambda": 2.5,
 41      "predicted_eta": 0.3076923076923077,
 42      "measured_eta": 0.308,
 43      "relative_error": 0.0009999999999999315
 44    },
 45    {
 46      "lambda": 3.0,
 47      "predicted_eta": 0.2857142857142857,
 48      "measured_eta": 0.28600000000000003,
 49      "relative_error": 0.0010000000000001674
 50    },
 51    {
 52      "lambda": 3.5,
 53      "predicted_eta": 0.26666666666666666,
 54      "measured_eta": 0.267,
 55      "relative_error": 0.0012500000000000705
 56    },
 57    {
 58      "lambda": 4.0,
 59      "predicted_eta": 0.25,
 60      "measured_eta": 0.25,
 61      "relative_error": 0.0
 62    }
 63  ],
 64  "mean_relative_boundary_error": 0.0005416666666666995,
 65  "scaling_mean": 2.0010833333333333,
 66  "scaling_relative_error": 0.0005416666666666625,
 67  "continuation": {
 68    "lambdas": [
 69      0.0,
 70      0.5,
 71      1.0,
 72      1.5,
 73      2.0,
 74      2.5,
 75      3.0,
 76      3.5,
 77      4.0
 78    ],
 79    "etas": [
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 81      0.4444444298744201,
 82      0.4000000173704902,
 83      0.36363631311344446,
 84      0.33333335346326864,
 85      0.30769232373339883,
 86      0.2857143731026445,
 87      0.26666672795588725,
 88      0.25000003280366434
 89    ],
 90    "relative_errors": [
 91      2.3841857821338408e-08,
 92      3.2782554670873765e-08,
 93      4.342622539343921e-08,
 94      1.3893802774944675e-07,
 95      6.038980598921384e-08,
 96      5.21335461467487e-08,
 97      3.0585925589465823e-07,
 98      2.2983457720338052e-07,
 99      1.3121465736176674e-07
100    ],
101    "mean_relative_error": 1.1315783424787402e-07,
102    "runs": 16,
103    "dense_grid_20x20_runs": 400,
104    "grid_mean_relative_error": 0.040443213296398814,
105    "grid_boundary_points": 20
106  },
107  "local_normal_check": {
108    "eta_below": 0.32999999999999996,
109    "F_below": -0.02020270731751968,
110    "eta_above": 0.33666666666666667,
111    "F_above": 0.0198026272961798,
112    "sign_switch": true
113  }
114}