{ "pair": { "sweep": [ { "T": 0.5, "d": 0.01, "slope": 0.9999999999999999, "intercept": -2.2204460492503132e-17, "max_identity_error": 0.0 }, { "T": 1.0, "d": 0.1, "slope": 1.0000000000000002, "intercept": 4.440892098500625e-17, "max_identity_error": 0.0 }, { "T": 2.0, "d": 1.9, "slope": 0.9999999999999999, "intercept": 2.2204460492503136e-16, "max_identity_error": 0.0 } ], "priority_slope": 0.7500000000000003 }, "fleet": [ { "N": 2, "f": "constant", "det": 1.0, "reciprocal_error": 0.0, "max_lambda": 1.0 }, { "N": 2, "f": "inverse_n", "det": 1.0, "reciprocal_error": 0.0, "max_lambda": 1.0 }, { "N": 2, "f": "sqrt_n", "det": 1.0, "reciprocal_error": 0.0, "max_lambda": 1.0 }, { "N": 3, "f": "constant", "det": 1.0, "reciprocal_error": 0.0, "max_lambda": 2.0 }, { "N": 3, "f": "inverse_n", "det": 1.0, "reciprocal_error": 0.0, "max_lambda": 4.0 }, { "N": 3, "f": "sqrt_n", "det": 1.0, "reciprocal_error": 0.0, "max_lambda": 2.8284271247461903 }, { "N": 4, "f": "constant", "det": 1.0, "reciprocal_error": 0.0, "max_lambda": 3.0 }, { "N": 4, "f": "inverse_n", "det": 1.0, "reciprocal_error": 0.0, "max_lambda": 9.0 }, { "N": 4, "f": "sqrt_n", "det": 1.0, "reciprocal_error": 0.0, "max_lambda": 5.196152422706631 }, { "N": 5, "f": "constant", "det": 1.0, "reciprocal_error": 0.0, "max_lambda": 4.0 }, { "N": 5, "f": "inverse_n", "det": 1.0, "reciprocal_error": 0.0, "max_lambda": 16.0 }, { "N": 5, "f": "sqrt_n", "det": 1.0, "reciprocal_error": 0.0, "max_lambda": 8.0 }, { "N": 6, "f": "constant", "det": 1.0, "reciprocal_error": 0.0, "max_lambda": 5.0 }, { "N": 6, "f": "inverse_n", "det": 1.0, "reciprocal_error": 0.0, "max_lambda": 25.0 }, { "N": 6, "f": "sqrt_n", "det": 1.0000000000000002, "reciprocal_error": 2.220446049250313e-16, "max_lambda": 11.180339887498949 }, { "N": 7, "f": "constant", "det": 1.0, "reciprocal_error": 0.0, "max_lambda": 6.0 }, { "N": 7, "f": "inverse_n", "det": 1.0, "reciprocal_error": 0.0, "max_lambda": 36.0 }, { "N": 7, "f": "sqrt_n", "det": 1.0000000000000007, "reciprocal_error": 2.220446049250313e-16, "max_lambda": 14.696938456699069 }, { "N": 8, "f": "constant", "det": 1.0, "reciprocal_error": 0.0, "max_lambda": 7.000000000000001 }, { "N": 8, "f": "inverse_n", "det": 1.0, "reciprocal_error": 1.1102230246251565e-16, "max_lambda": 49.0 }, { "N": 8, "f": "sqrt_n", "det": 1.0, "reciprocal_error": 0.0, "max_lambda": 18.520259177452136 }, { "N": 9, "f": "constant", "det": 1.0, "reciprocal_error": 0.0, "max_lambda": 8.0 }, { "N": 9, "f": "inverse_n", "det": 0.9999999999999999, "reciprocal_error": 1.1102230246251565e-16, "max_lambda": 64.0 }, { "N": 9, "f": "sqrt_n", "det": 1.0000000000000002, "reciprocal_error": 0.0, "max_lambda": 22.627416997969522 }, { "N": 10, "f": "constant", "det": 1.0, "reciprocal_error": 0.0, "max_lambda": 9.0 }, { "N": 10, "f": "inverse_n", "det": 1.0, "reciprocal_error": 1.1102230246251565e-16, "max_lambda": 81.0 }, { "N": 10, "f": "sqrt_n", "det": 1.0, "reciprocal_error": 2.220446049250313e-16, "max_lambda": 27.0 } ], "noise": { "m": 0.2, "sigmas": [ 0.004, 0.006, 0.009, 0.013, 0.019 ], "median_steps": [ 2863.0, 1254.0, 576.0, 266.0, 137.0 ], "loglog_exponent": -1.9619957234753482, "C_median": [ 1.1451999999999996, 1.1285999999999998, 1.1663999999999997, 1.1238499999999996, 1.2364249999999999 ], "C_median_mean": 1.1600949999999997, "median_ratio_sigma_.006_to_.012": 3.834862385321101 }, "comparison_20_cycles": { "initial_gap": 0.3, "anonymous_gap": 0.3, "priority_gap": 0.0009513635816801979 }, "prediction_checks": { "P1_pair_return_slope_predicted_1_observed": [ 0.9999999999999999, 1.0000000000000002, 0.9999999999999999 ], "P1_max_absolute_identity_error": 0.0, "P2_determinant_predicted_1_max_abs_error": 6.661338147750939e-16, "P2_reciprocal_eigenvalue_max_error": 2.220446049250313e-16, "P3_noise_exponent_predicted_-2_observed": -1.9619957234753482, "P3_sigma_doubling_lifetime_ratio_predicted_4_observed": 3.834862385321101, "all_mechanism_checks_pass": true } }