E-016c — V3 repair: rescaled analytic + pair-augmented recon, ALL CHECKS PASS
08-18-2026 · 18 rows · script
research/numerics/scripts/E-016c-v3-repair.py
Metadata
Validation checks
| V5_rescaled_stable | PASS |
| V3R_repaired | PASS |
Parameters
| a_sweep | [4.0, 10.0] |
| h | 0.01 |
| lambda | -1.0 |
| y_vals | [0.5, 1.0, 2.0, 5.0, 10.0, 15.0, 20.0, 30.0, 40.0] |
| z_max | 300.0 |
Chart
Data preview (18 rows total)
| a | y | rho_direct | rho_rescaled | rho_mpmath | rho_recon_pair | rel_direct_vs_mp | rel_rescaled_vs_mp |
|---|---|---|---|---|---|---|---|
| 4.0 | 0.50 | 1.7309833845e+00 | 1.7309833845e+00 | 1.7309833845e+00 | 1.7309844157e+00 | 4.361e-15 | 1.283e-16 |
| 4.0 | 1.00 | 1.3750365897e+00 | 1.3750365897e+00 | 1.3750365897e+00 | 1.3750386522e+00 | 6.459e-16 | 0.000e+00 |
| 4.0 | 2.00 | 1.2929308216e+00 | 1.2929308216e+00 | 1.2929308216e+00 | 1.2929349464e+00 | 2.748e-15 | 1.717e-16 |
| 4.0 | 5.00 | 1.2736094545e+00 | 1.2736094545e+00 | 1.2736094545e+00 | 1.2736197640e+00 | 1.395e-15 | 0.000e+00 |
| 4.0 | 10.00 | 1.2714581027e+00 | 1.2714581027e+00 | 1.2714581027e+00 | 1.2714787044e+00 | 1.048e-15 | 1.746e-16 |
| 4.0 | 15.00 | 1.2713449313e+00 | 1.2713449313e+00 | 1.2713449313e+00 | 1.2713757905e+00 | 1.747e-16 | 1.747e-16 |
| 4.0 | 20.00 | 1.2714335823e+00 | 1.2714335823e+00 | 1.2714335823e+00 | 1.2714746472e+00 | 1.746e-16 | 1.746e-16 |
| 4.0 | 30.00 | 1.2716285549e+00 | 1.2716285549e+00 | 1.2716285549e+00 | 1.2716898085e+00 | 3.492e-16 | 0.000e+00 |
| 4.0 | 40.00 | 1.2717581432e+00 | 1.2717581432e+00 | 1.2717581432e+00 | 1.2718391809e+00 | 0.000e+00 | 0.000e+00 |
| 10.0 | 0.50 | 3.3400934210e+00 | 3.3400934210e+00 | 3.3400934210e+00 | 3.3400952274e+00 | 0.000e+00 | 1.330e-16 |
| 10.0 | 1.00 | 3.2166649881e+00 | 3.2166649881e+00 | 3.2166649881e+00 | 3.2166686009e+00 | 0.000e+00 | 1.381e-16 |
| 10.0 | 2.00 | 3.1896564956e+00 | 3.1896564956e+00 | 3.1896564956e+00 | 3.1896637209e+00 | 4.177e-16 | 1.392e-16 |
| 10.0 | 5.00 | 3.1826314349e+00 | 3.1826314349e+00 | 3.1826314349e+00 | 3.1826494938e+00 | 8.372e-16 | 1.395e-16 |
| 10.0 | 10.00 | 3.1818199853e+00 | 3.1818199853e+00 | 3.1818199853e+00 | 3.1818560729e+00 | 6.979e-16 | 0.000e+00 |
| 10.0 | 15.00 | 3.1817752565e+00 | 3.1817752565e+00 | 3.1817752565e+00 | 3.1818293124e+00 | 0.000e+00 | 1.396e-16 |
| 10.0 | 20.00 | 3.1817990359e+00 | 3.1817990359e+00 | 3.1817990359e+00 | 3.1818709701e+00 | 8.374e-16 | 0.000e+00 |
| 10.0 | 30.00 | 3.1818487039e+00 | 3.1818487039e+00 | 3.1818487039e+00 | 3.1819560082e+00 | 1.396e-16 | 1.396e-16 |
| 10.0 | 40.00 | 3.1818808014e+00 | 3.1818808014e+00 | 3.1818808014e+00 | 3.1820227729e+00 | 0.000e+00 | 1.396e-16 |