{ "seed": 3127, "dimension": 8, "batch": 256, "a": 1.0, "decay": { "0": { "observed_log_r_slope": -1.0022730640957476, "expected": -1.0, "initial_r": 0.5168302750434426, "final_r": 5.979225751761933e-14, "max_abs_radial_identity_error": 6.080691505871982e-13 }, "1": { "observed_log_r_slope": -0.9647610542101159, "expected": -1.0, "initial_r": 0.5168302750434426, "final_r": 0.003393263246673666, "max_abs_radial_identity_error": 5.311306949806749e-13 }, "2": { "observed_log_r_slope": -0.47253242024365144, "expected": -0.5, "initial_r": 0.5168302750434426, "final_r": 0.0416372833874312, "max_abs_radial_identity_error": 6.821210263296962e-13 } }, "stability": { "0.01": { "baseline_final_max_norm": 5.643487323313148, "idea_final_max_norm": 0.7056281886173599, "baseline_peak_norm": 5.643487323313148, "idea_peak_norm": 1.3998189819417033, "idea_max_continuous_radial_violation": 6.935632623772392e-13, "baseline_max_radial_derivative": 12.391933485302292 }, "0.1": { "baseline_final_max_norm": 76.575355568081, "idea_final_max_norm": 0.2582046636210926, "baseline_peak_norm": 76.575355568081, "idea_peak_norm": 1.3998189819417033, "idea_max_continuous_radial_violation": 6.915717998268178e-13, "baseline_max_radial_derivative": 203.1892940845715 }, "0.5": { "baseline_final_max_norm": 407.74417922447793, "idea_final_max_norm": 0.15875827926131506, "baseline_peak_norm": 407.74417922447793, "idea_peak_norm": 1.3998189819417033, "idea_max_continuous_radial_violation": 6.815797926051914e-13, "baseline_max_radial_derivative": 1148.7475130953771 }, "1.0": { "baseline_final_max_norm": 830.4323895399839, "idea_final_max_norm": 0.1984991730485405, "baseline_peak_norm": 830.4323895399839, "idea_peak_norm": 1.4698253714895888, "idea_max_continuous_radial_violation": 6.753037799095418e-13, "baseline_max_radial_derivative": 2340.5317873012073 } }, "note": "Continuous radial identity is tested exactly; trajectory tests use explicit Euler." }