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  ],
  "global_factor_not_estimated": true,
  "method": "Original Helmholtz local assembler and LocalProblem condensation; structural-zero sparse coupling storage; exact polynomial trace restriction",
  "verification_scope": "Four macro rectangles for each H=20,40,80 m, actual pinned Marmousi material, unit point functional at (5000,50) m; local patch top y=40 m Dirichlet zero and other sides absorbing",
  "geometry": "bounds=(4980,4980+2H,40,40+2H) m, two macro rectangles in each coordinate",
  "source_sha256": {
    "examples/helmholtz_compact_family.py": "8d698487dd8960c387fdfb5150d587fcf579425782ce52ebc25afec17b24b139",
    "examples/helmholtz_trace_family.py": "75c426bd3630d4f6c1e65e1e733ebb2981a863c6d6795ab1bdb586c9351bcbfe",
    "src/pymhm/helmholtz.py": "256aa1f84dd947569898dae45951b5acdce1de646e33895c5ae2f4ed8acbc65b",
    "src/pymhm/hybrid.py": "288f85a41eeda946fe7b6a2fc9299c2c9dfc9f1d7bd61a4cc1a625708dae998d"
  },
  "comparison": "All five restricted trace degrees compared with independent calls to solve_helmholtz using the same Q3 local grid and quadrature nine",
  "timing_scope": "Four-macro patch observations only; no full-domain speedup claim",
  "storage_scope": "Retained numerical array buffers extrapolated by macro count; excludes Python overhead and global matrix factorization"
}