{
  "scope": "Manufactured eta-independent profiles with regular axis and power-law compensation patch. Not a Navier-Stokes time integrator or full singular solution.",
  "target_source": "Cached moments of original profile; no unknown fine solution used.",
  "quadrature_setup_points": 1920,
  "quadrature_independent_check_points": 3840,
  "setup_seconds": 0.006263707997277379,
  "maxima_over_1000_steps": {
    "smallness": 0.1858704081118291,
    "matrix_condition": 218.6599018217844
  },
  "cases": [
    {
      "feature_amplitude": 0.0001,
      "increment_count": 1,
      "moments_naive_scaled_error": 2.807261019739996e-06,
      "moments_corrected_scaled_error": 3.8543256306208693e-16,
      "outer_naive_scaled_error": 2.9946364930462626e-06,
      "outer_corrected_scaled_error": 3.3306690738754696e-16,
      "intended_inner_edit_retention_fraction": 1.0,
      "maximum_relative_U_edit_inner": 0.00036910964296005266,
      "maximum_relative_E_edit_inner": 9.842923812282115e-05,
      "collateral_to_intended_profile_L2_ratio": 4.668746561808088,
      "max_relative_U_change_compensation_patch": 0.000312584913985392,
      "max_relative_E_change_compensation_patch": 0.0005914651263750327,
      "min_E_on_quadrature": 0.003950476953615887,
      "continuation_elapsed_seconds_including_checkpoints": 0.0015300409868359566,
      "newton_seconds_including_candidate_quadrature": 0.0003436249680817127,
      "newton_iterations": 4,
      "newton_coefficient_difference": 1.3552527156068805e-20
    },
    {
      "feature_amplitude": 0.001,
      "increment_count": 10,
      "moments_naive_scaled_error": 2.809354044661415e-05,
      "moments_corrected_scaled_error": 9.481562610951382e-16,
      "outer_naive_scaled_error": 2.9967730381093204e-05,
      "outer_corrected_scaled_error": 9.964237248562369e-16,
      "intended_inner_edit_retention_fraction": 1.0,
      "maximum_relative_U_edit_inner": 0.003691096429600804,
      "maximum_relative_E_edit_inner": 0.0009842923812267976,
      "collateral_to_intended_profile_L2_ratio": 4.543297375605399,
      "max_relative_U_change_compensation_patch": 0.0031231149666557934,
      "max_relative_E_change_compensation_patch": 0.005733573474646479,
      "min_E_on_quadrature": 0.003950476953615887,
      "continuation_elapsed_seconds_including_checkpoints": 0.006463957950472832,
      "newton_seconds_including_candidate_quadrature": 0.0001895419554784894,
      "newton_iterations": 5,
      "newton_coefficient_difference": 3.982382999756506e-15
    },
    {
      "feature_amplitude": 0.01,
      "increment_count": 100,
      "moments_naive_scaled_error": 0.00028302842957814015,
      "moments_corrected_scaled_error": 1.1061823046109945e-15,
      "outer_naive_scaled_error": 0.00030181384903301897,
      "outer_corrected_scaled_error": 1.1957084698274841e-15,
      "intended_inner_edit_retention_fraction": 1.0,
      "maximum_relative_U_edit_inner": 0.03691096429600749,
      "maximum_relative_E_edit_inner": 0.009842923812268506,
      "collateral_to_intended_profile_L2_ratio": 3.8271204096881704,
      "max_relative_U_change_compensation_patch": 0.030957732272228478,
      "max_relative_E_change_compensation_patch": 0.04671542917869218,
      "min_E_on_quadrature": 0.003950476953615887,
      "continuation_elapsed_seconds_including_checkpoints": 0.04067287489306182,
      "newton_seconds_including_candidate_quadrature": 0.00038770807441323996,
      "newton_iterations": 6,
      "newton_coefficient_difference": 9.129849654065936e-15
    },
    {
      "feature_amplitude": 0.1,
      "increment_count": 1000,
      "moments_naive_scaled_error": 0.003039586807325132,
      "moments_corrected_scaled_error": 9.481562610951382e-16,
      "outer_naive_scaled_error": 0.0032317930129516018,
      "outer_corrected_scaled_error": 9.964237248562369e-16,
      "intended_inner_edit_retention_fraction": 1.0,
      "maximum_relative_U_edit_inner": 0.3691096429600754,
      "maximum_relative_E_edit_inner": 0.09842923812268682,
      "collateral_to_intended_profile_L2_ratio": 2.7101817052980692,
      "max_relative_U_change_compensation_patch": 0.28223558325726344,
      "max_relative_E_change_compensation_patch": 0.37649329921552355,
      "min_E_on_quadrature": 0.003950476953615887,
      "continuation_elapsed_seconds_including_checkpoints": 0.35172749997582287,
      "newton_seconds_including_candidate_quadrature": 0.0002067919122055173,
      "newton_iterations": 8,
      "newton_coefficient_difference": 1.2701645291102182e-14
    }
  ],
  "cost_caveat": "Diagnostic single-run timings; no speedup, rendering-time savings, or customer savings measured.",
  "interpretation": "Proof-derived constraints enable local editing with outer-quantity preservation; Newton matches final edits and is much shorter. Compensation is substantial and may be visibly undesirable."
}