[integrator checks] {'cube_L': 16, 'cheb_vs_dense_step_0p05': 1.1657341758564144e-15, 'cheb_vs_dense_step_2': 1.7486012637846216e-15}
[ring L=256, g=+0.02] finite-coupling bounds (8.5), (8.18): {'L': 256, 'D': 1, 'g_s_over_t_f': 0.02, 'lam_max': 50.0, 'max_abs_g_lam': 1.0, 'r': [0, 4, 16, 64, 120], 'max_ratio_remainder_to_bound_where_bound_gt_1em8': [0.09492095960815908, 0.04256794725317676, 0.003845342918318927, 0.00017566590686139761, 3.450004913079391e-05], 'max_excess_remainder_over_bound': [-3.1249503696922762e-06, -2.4309312492515043e-15, 7.494493331953011e-16, 2.7152124114028576e-16, 9.035994285527988e-16], 'max_ratio_total_to_bound': [0.4636677900592307, 0.24341931954257504, 0.9803322733807815, 0.25261672088908516, 0.45496285318752444], 'max_excess_total_over_bound': [-0.012344942409750329, -1.2665358875654602e-11, -1.0194210678046639e-19, -1.0651709916280511e-18, -5.682772445706443e-19], 'max_abs_remainder_phi': [0.15363315699879942, 0.015771596467097415, 0.012885870308884773, 0.0017568112154431083, 1.523453910427199e-08]}
[ring L=256, g=-0.02] finite-coupling bounds (8.5), (8.18): {'L': 256, 'D': 1, 'g_s_over_t_f': -0.02, 'lam_max': 50.0, 'max_abs_g_lam': 1.0, 'r': [0, 4, 16, 64, 120], 'max_ratio_remainder_to_bound_where_bound_gt_1em8': [0.09404828468116842, 0.042729225390749435, 0.0038561966251320443, 0.00017565200498807567, 3.45425680894142e-05], 'max_excess_remainder_over_bound': [-3.1249519957595583e-06, -2.6428161526081056e-15, 7.447026939541587e-16, 2.953013502622679e-16, 8.530707545027306e-16], 'max_ratio_total_to_bound': [0.4657519687822163, 0.24270735595191997, 0.2892495199999059, 0.4140410610155249, 0.3458086314295245], 'max_excess_total_over_bound': [-0.012344942247006017, -1.2665570760557958e-11, -1.1320325571905928e-19, -1.0570504965725465e-18, -5.614211846242189e-19], 'max_abs_remainder_phi': [0.16260836437553694, 0.017023598950343055, 0.013527825571285484, 0.0017527768509553003, 1.5416795148305023e-08]}
[cube L=16, g=+0.05] finite-coupling bounds (8.5), (8.18): {'L': 16, 'D': 3, 'g_s_over_t_f': 0.05, 'lam_max': 20.0, 'max_abs_g_lam': 1.0, 'r': [0, 2, 5, 8], 'max_ratio_remainder_to_bound_where_bound_gt_1em8': [0.25046651573069456, 0.11488137691091627, 0.05847436235803325, 0.045448871860764496], 'max_excess_remainder_over_bound': [-1.250036088122738e-06, -1.4325028139465872e-11, 3.4753364121612197e-19, 1.1231549794214747e-18], 'max_ratio_total_to_bound': [0.6004503883935556, 0.3396238964812866, 0.1873451215419922, 0.1868371056711763], 'max_excess_total_over_bound': [-0.004925883641815211, -6.204199438044588e-08, -1.0853430798871349e-16, -4.630818006903941e-19], 'max_abs_remainder_phi': [0.006421808389638073, 0.0008460464667096948, 0.0004670897857039047, 0.0005620403585798531]}
[ring L=1024] small checks: {'L': 1024, 'D': 1, 'g_s_over_t_f': 1e-05, 'sector_dim': 513, 'S2': 1491322.3110961812, 'static_sector_vs_fourier': 1.011841277431813e-09, 'exact_vs_first_order_rel': 3.726315205278744e-05, 'infinite_lambda_average_vs_static_rel': 0.0011086535721447658, 'sum_rule_max_abs': 8.98329188814273e-11, 'running_average': {'1.0L^2/t': {'max_dev_from_static_phi': 1.4317079589048944, 'max_dev_from_exact_average_phi': 1.337102944304334, 'bound_S2_over_tLambda': 1.4222357855760395}, '4.0L^2/t': {'max_dev_from_static_phi': 0.34670475364595177, 'max_dev_from_exact_average_phi': 0.2520997390453914, 'bound_S2_over_tLambda': 0.35555894639400987}, '16.0L^2/t': {'max_dev_from_static_phi': 0.06918124562714922, 'max_dev_from_exact_average_phi': 0.025423768973411143, 'bound_S2_over_tLambda': 0.08888973659850247}}}
[ring L=16384] front (19s): {'criterion': 'first lam with |delta rho| >= eps (n g/t) rho^-p, i.e. |phi| >= (eps/2) rho^-p; eps=0.1, p=0.5', 'rho': [16, 24, 32, 48, 64, 96, 128, 160, 192, 256, 320, 384], 'arrival': [6.98, 10.34, 13.9, 21.54, 29.32, 44.980000000000004, 60.68, 76.38, 92.10000000000001, 123.54, 155.0, 186.46], 'arrival_times_2t_over_rho': [0.8725, 0.8616666666666667, 0.86875, 0.8975, 0.91625, 0.9370833333333334, 0.948125, 0.95475, 0.9593750000000001, 0.96515625, 0.96875, 0.9711458333333334], 'speed_linear_fit': 2.0360702950292646, 'fit_min_rho': 64, 'max_ratio_to_kapteyn_bound_ahead': 0.009475899030120078, 'front_peak_phi': [0.1674100375901452, 0.12204377600133479, 0.12691022406173483, 0.09721629770150894, 0.08492597222554239, 0.07822560580393277, 0.07059831347325946, 0.06266475217545564, 0.05948913604695868, 0.054734860499988894, 0.049979182561704104, 0.047550509581685156], 'front_peak_exponent': -0.33966603429607595, 'front_peak_prefactor': 0.35792690396462695, 'front_form_rel_dev': {64: 0.4365704506239316, 96: 0.41015798553722904, 128: 0.3330413609999929, 160: 0.32502148999876584, 192: 0.31630494990823294, 256: 0.2730170434845023, 320: 0.23867323731924908, 384: 0.2368827519256438}, 'front_peak_times_rho_pD': [0.42184686064703186, 0.3520351669932374, 0.4029148463622355, 0.35330747302462334, 0.3397038889021695, 0.3581838603844977, 0.35579320492814565, 0.34019661448922156, 0.3431927236067404, 0.34754470054806, 0.3418528000603097, 0.3456200406421682], 'lower_bound_cD_over_2': 0.2386131833114005, 'front_peak_times_d13': [0.42184686064703186, 0.3520351669932374, 0.4029148463622355, 0.35330747302462334, 0.3397038889021695, 0.3581838603844977, 0.35579320492814565, 0.34019661448922156, 0.3431927236067404, 0.34754470054806, 0.3418528000603097, 0.3456200406421682], 'max_abs_phi_for_2tlam_le_0p8rho': {16: 0.0062214097159159765, 24: 0.0023345187086564736, 32: 0.0009023619947283656, 48: 0.00014259708600368532, 64: 2.357178066212203e-05, 96: 1.3017510287766479e-06, 128: 9.831789069008096e-08, 160: 5.398602538954514e-09, 192: 2.4047380273646905e-10, 256: 2.8427714976523403e-13, 320: 7.477058317984161e-16, 384: 3.065963628453758e-18}}
[ring L=16384] formation sudden (52s): {'window_end': 7372.8, 'eps': 0.2, 'zeta_star': 0.0604200987916, 'd': [6, 8, 12, 16, 24, 32, 40], 'lam_form': [148.0, 263.0, 589.5, 1045.0, 2334.5, 4122.5, 6397.0], 'lam_form_pred': [148.9570553507807, 264.81254284583235, 595.8282214031228, 1059.2501713833294, 2383.3128856124913, 4237.000685533318, 6620.31357114581], 'fit_exponent': 1.9805096044375017, 'fit_min_d': 12, 'fit_prefactor': 4.304176126675169, 'pred_prefactor': 4.1376959819661305, 'max_dev_from_scaling_fn_zeta_le_0p5': {6: 0.0056142199301002504, 8: 0.002969782745715688, 12: 0.0016758425134041355, 16: 0.0014784878513551813, 24: 0.002197879565406513, 32: 0.0029271254655802714, 40: 0.003630470467515745}}
[cube L=32] small checks: {'L': 32, 'D': 3, 'g_s_over_t_f': 0.001, 'sector_dim': 969, 'S2': 0.3511206004823627, 'static_sector_vs_fourier': 2.6281060661048627e-16, 'exact_vs_first_order_rel': 0.0007924266710725847, 'infinite_lambda_average_vs_static_rel': 0.00036877777109378413, 'sum_rule_max_abs': 2.1021958045847056e-12, 'running_average': {'1.0L^2/t': {'max_dev_from_static_phi': 0.0001920063806787886, 'max_dev_from_exact_average_phi': 0.00010140632972222008, 'bound_S2_over_tLambda': 0.00034289121140855733}, '4.0L^2/t': {'max_dev_from_static_phi': 0.00011942975113926613, 'max_dev_from_exact_average_phi': 2.8829700182697593e-05, 'bound_S2_over_tLambda': 8.572280285213933e-05}}}
[cube L=160] front (59s): {'criterion': 'first lam with |delta rho| >= eps (n g/t) rho^-p, i.e. |phi| >= (eps/2) rho^-p; eps=0.1, p=1.5', 'rho': [6, 8, 10, 12, 16, 20, 24, 32, 40, 48, 56, 64], 'arrival': [3.4000000000000004, 3.5500000000000003, 5.0, 6.550000000000001, 8.15, 9.75, 11.350000000000001, 16.0, 19.200000000000003, 23.85, 27.05, 31.700000000000003], 'arrival_times_2t_over_rho': [1.1333333333333335, 0.8875000000000001, 1.0, 1.0916666666666668, 1.01875, 0.975, 0.9458333333333334, 1.0, 0.9600000000000002, 0.99375, 0.9660714285714286, 0.9906250000000001], 'speed_linear_fit': 2.06060606060606, 'fit_min_rho': 12, 'max_ratio_to_kapteyn_bound_ahead': 0.01987861417441258, 'front_peak_phi': [0.00862912806508322, 0.004911684401296083, 0.0036820559721112366, 0.003407901423775105, 0.0020354836204727563, 0.0015134686193860128, 0.0013398425281674062, 0.0007958311642241178, 0.0006575362135385711, 0.0005172951630419191, 0.0003987845763149355, 0.0003593053169458446], 'front_peak_exponent': -1.3219039649855904, 'front_peak_prefactor': 0.08420233054477115, 'front_form_rel_dev': {12: 0.4042522805625016, 16: 0.46697375142564107, 20: 0.4914701217756972, 24: 0.2863570242543003, 32: 0.40468709210128295, 40: 0.3459014832059986, 48: 0.24138091319133723, 56: 0.3202457871438159, 64: 0.2809289315131325}, 'front_peak_times_rho_pD': [0.09408099783149083, 0.07858695042073731, 0.07932749116955516, 0.09362575912831535, 0.08206555712479527, 0.08216371765249927, 0.09275459090539359, 0.08085140654582024, 0.08994968873758628, 0.09023881856024929, 0.08543891453904973, 0.09198216113813619], 'lower_bound_cD_over_2': 0.03797646761090194}
[cube L=160] formation sudden (66s): {'window_end': 72.0, 'eps': 0.1, 'zeta_star': 0.406850091863, 'd': [3, 4, 5, 6, 7, 8, 9], 'lam_form': [5.4, 9.9, 14.9, 22.5, 30.5, 41.2, 49.5], 'lam_form_pred': [5.530292471354905, 9.831631060186497, 15.3619235315414, 22.12116988541962, 30.109370121821147, 39.32652424074599, 49.77263224219414], 'fit_exponent': 2.0303021166495148, 'fit_min_d': 4, 'fit_prefactor': 0.5858435040494757, 'pred_prefactor': 0.6144769412616561, 'max_dev_from_scaling_fn_zeta_le_0p5': {3: 0.03911795620843894, 4: 0.032423869745063616, 5: 0.016226510382659542, 6: 0.015007091061028044, 7: 0.009171727229514648, 8: 0.00928872610734377, 9: 0.007503161680561865}}
total time 200s