{ "seed": 2698, "predictions": { "P1_boundary_predicted_q": 1.0, "P1_observed_operational_boundary_q": 1.01, "P2_radius_formula_mean_relative_error": 0.0006217884341362751, "P2_radius_sweep": [ { "q": 0.5, "predicted_radius": 0.2, "observed_tail_radius": 0.19999999999999996, "relative_error": 2.7755575615628914e-16, "diverged": false, "observed_log_growth_per_step": null, "predicted_log_growth_per_step": null }, { "q": 0.7, "predicted_radius": 0.3333333333333333, "observed_tail_radius": 0.3333333333333332, "relative_error": 3.3306690738754696e-16, "diverged": false, "observed_log_growth_per_step": null, "predicted_log_growth_per_step": null }, { "q": 0.85, "predicted_radius": 0.6666666666666666, "observed_tail_radius": 0.666666666666666, "relative_error": 9.992007221626409e-16, "diverged": false, "observed_log_growth_per_step": null, "predicted_log_growth_per_step": null }, { "q": 0.95, "predicted_radius": 1.9999999999999984, "observed_tail_radius": 1.9999999999996072, "relative_error": 1.9562129693895273e-13, "diverged": false, "observed_log_growth_per_step": null, "predicted_log_growth_per_step": null }, { "q": 0.99, "predicted_radius": 9.999999999999991, "observed_tail_radius": 9.96891057829515, "relative_error": 0.003108942170484144, "diverged": false, "observed_log_growth_per_step": null, "predicted_log_growth_per_step": null }, { "q": 1.01, "predicted_radius": Infinity, "observed_tail_radius": 3558.5011602879867, "relative_error": null, "diverged": false, "observed_log_growth_per_step": 0.00997852612857698, "predicted_log_growth_per_step": 0.009950330853168092 }, { "q": 1.1, "predicted_radius": Infinity, "observed_tail_radius": 3.206898210417796e+24, "relative_error": null, "diverged": true, "observed_log_growth_per_step": 0.09531017980432492, "predicted_log_growth_per_step": 0.09531017980432493 } ], "P3_projection_predicted_zero_violation": true, "P3_projection_result": { "fit_relative_A_error": 0.02199261297612363, "residual_axis_radii": [ 0.017713068251853953, 0.017371129634839475, 0.01809571771387283 ], "q_of_test_matrix": 1.1233710273386819, "raw_violation_rate": 0.9633333333333334, "projected_violation_rate": 0.0, "raw_max_ellipsoid_energy": 4113366436625564.5, "projected_max_ellipsoid_energy": 1.0000000000000004, "projected_violation_tolerance": 1e-10 } }, "boundary_sweep": [ { "q": 0.85, "max_abs_state": 0.06114625541025967 }, { "q": 0.86, "max_abs_state": 0.05630976750844183 }, { "q": 0.87, "max_abs_state": 0.07282218950425683 }, { "q": 0.88, "max_abs_state": 0.07404907353917659 }, { "q": 0.89, "max_abs_state": 0.08205584679813377 }, { "q": 0.8999999999999999, "max_abs_state": 0.06487309906543966 }, { "q": 0.9099999999999999, "max_abs_state": 0.06782524987406255 }, { "q": 0.9199999999999999, "max_abs_state": 0.07547386809642946 }, { "q": 0.9299999999999999, "max_abs_state": 0.07406111249908202 }, { "q": 0.94, "max_abs_state": 0.08223893163167081 }, { "q": 0.95, "max_abs_state": 0.09272348709961054 }, { "q": 0.96, "max_abs_state": 0.11205213501965554 }, { "q": 0.97, "max_abs_state": 0.1235121217306473 }, { "q": 0.98, "max_abs_state": 0.12283289990759465 }, { "q": 0.99, "max_abs_state": 0.16456728122008552 }, { "q": 1.0, "max_abs_state": 0.19272562643707053 }, { "q": 1.01, "max_abs_state": 2.8917749610059014 }, { "q": 1.02, "max_abs_state": 140.23637812443903 }, { "q": 1.03, "max_abs_state": 2282.096499633755 }, { "q": 1.04, "max_abs_state": 31224.038903073433 }, { "q": 1.0499999999999998, "max_abs_state": 2210850.6882364233 }, { "q": 1.06, "max_abs_state": 67672685.47108987 }, { "q": 1.0699999999999998, "max_abs_state": 7901516424.487625 }, { "q": 1.0799999999999998, "max_abs_state": 287957422635.1783 }, { "q": 1.0899999999999999, "max_abs_state": 40603124040173.55 }, { "q": 1.0999999999999999, "max_abs_state": 479536456504324.25 }, { "q": 1.1099999999999999, "max_abs_state": 4473106191506179.0 }, { "q": 1.1199999999999999, "max_abs_state": 8.181297681024831e+17 }, { "q": 1.13, "max_abs_state": 6.206024806083467e+19 }, { "q": 1.14, "max_abs_state": 2.784344718910944e+20 }, { "q": 1.15, "max_abs_state": 2.20212719964705e+22 } ] }