{
  "acceptance": {
    "decision_rule": "A cell is resolved only when every coarse/fine gate passes and, if selected, its centered finite-difference spot check passes.",
    "discrepancy_norms": {
      "finite_difference_gram": "||G_FD-G_fine||_F / max(1,||G_fine||_F), evaluated only at declared spots",
      "finite_difference_response": "||R_FD-R_fine||_F / max(1,||R_fine||_F), evaluated only at declared spots",
      "finite_difference_strongest_gain": "|sigma_max_FD-sigma_max_fine| / sigma_max_fine, evaluated only at declared spots",
      "finite_difference_weakest_gain": "|sigma_min_FD-sigma_min_fine| / sigma_min_fine, evaluated only at declared spots",
      "information_gram": "||G_coarse-G_fine||_F / max(1,||G_fine||_F)",
      "state": "||D^{-1}(z_coarse-z_fine)||_F / max(1,||D^{-1}z_fine||_F), D=diag(1,1,omega_scale,omega_scale)",
      "strongest_gain": "|sigma_max_coarse-sigma_max_fine| / sigma_max_fine",
      "tangent": "||Phi_coarse-Phi_fine||_F / max(1,||Phi_fine||_F)",
      "weakest_gain": "|sigma_min_coarse-sigma_min_fine| / sigma_min_fine",
      "weighted_response": "||R_coarse-R_fine||_F / max(1,||R_fine||_F)"
    },
    "finite_difference_gram_relative_tolerance": 4e-05,
    "finite_difference_response_relative_tolerance": 2e-05,
    "finite_difference_scope": "centered finite differences are evaluated only at the declared spot-check cells, not at every resolved grid cell",
    "finite_difference_strongest_gain_relative_tolerance": 2e-05,
    "finite_difference_weakest_gain_relative_tolerance": 2e-05,
    "gram_relative_tolerance": 4e-06,
    "response_relative_tolerance": 2e-06,
    "state_relative_tolerance": 2e-07,
    "strongest_gain_relative_tolerance": 2e-06,
    "tangent_relative_tolerance": 2e-06,
    "weakest_gain_relative_tolerance": 2e-06
  },
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      "method": "DOP853 with joint state/tangent integration",
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}