{
  "schema": "bethe-six-spinon-precision-comparison-v1",
  "scope": "Identical finite-domain tutorial query; arithmetic/cost comparison only, no sampling/domain convergence claim",
  "source": "b573fb4bba7d7fee9df6853fb29bc7cb051898da",
  "uni20": "1cb2474eb0a54e13ec7d5f2c1823752020b2425c",
  "compiler": "GNU 13.3.0 Release",
  "cpu": "12th Gen Intel(R) Core(TM) i7-12700KF",
  "host": "ryzen",
  "workers": 2,
  "timing_scope": "external complete-process CPU and wall, including setup and JSON output",
  "momentum": "1.57079632679489661923132169163975",
  "exchange": "1",
  "frequency_inputs": {
    "minimum": "1.8",
    "maximum": "2.2",
    "points": 3
  },
  "controls": {
    "Density absolute tolerance": "0",
    "Density relative tolerance": "1e-5",
    "Channel": "zz",
    "Exchange J": "1",
    "First density residue budget": "64",
    "First density tail order": "16",
    "Second density residue budget": "80",
    "Second density tail order": "20",
    "Recovery seconds per configuration": "60",
    "Samples per replicate": "32",
    "Selected spinon sectors": "6",
    "Six-spinon absolute rapidity cutoff": "8",
    "Six-spinon background weight": "0.5",
    "Six-spinon native soft fraction": "0.5",
    "Six-spinon one-pair center scale": "4",
    "Six-spinon one-pair gap scale": "0.5",
    "Six-spinon one-pair weight": "0.25",
    "Six-spinon replicates": "4",
    "Six-spinon seed": "42",
    "Six-spinon stream identities": "first_replicate=grid_index*replicates; distinct streams at each point",
    "Six-spinon two-pair center scale": "8",
    "Six-spinon two-pair gap scale": "1",
    "Six-spinon two-pair weight": "0.25",
    "Six-spinon uniform grid bits": "52",
    "Spectral points": "3"
  },
  "command": [
    "bethe-xxx-structure-factor-thermo",
    "--sectors",
    "6",
    "--momentum",
    "1.57079632679489661923132169163975",
    "--omega-min",
    "1.8",
    "--omega-max",
    "2.2",
    "--points",
    "3",
    "--six-cutoff",
    "8",
    "--replicates",
    "4",
    "--samples",
    "32",
    "--seed",
    "42",
    "--threads",
    "2",
    "--density-relative-tolerance",
    "1e-5",
    "--density-absolute-tolerance",
    "0",
    "--density-terms",
    "64",
    "--density-tail-order",
    "16",
    "--density-seconds",
    "60",
    "--diagnostics",
    "--replicate-output",
    "--format",
    "json",
    "--precision",
    "PRECISION"
  ],
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        "all declared recovery stages exhausted: subnormal density assembly requires a wider exponent range"
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        "replicate": "0",
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      "precision": "bits-384",
      "exit_code": 0,
      "wall_seconds": 59.113617073977366,
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      ],
      "max_relative_mean_change_from_384": "0",
      "max_relative_replicate_or_max_observation_change_from_384": "0",
      "all_counts_and_replicate_identities_match": true,
      "mean_changes_within_combined_numerical_diagnostics": true
    }
  ],
  "recommendation": "long-double on a platform with native extended80 for this exact small query; MPFR bits-128 is the checked alternative. Recheck expanded domains, grids or streams.",
  "caveats": [
    "Only 4 replicates of 32 draws per frequency; observed sampling SE remains66-76 percent.",
    "R8 omits substantial soft weight.",
    "bits-96 fails despite a wider guard because the default lower comparison has only 32 bits; native long-double compares 53/64 bits.",
    "FP128 uses a peer build at the same revision; other cases use the independent GCC13 review build."
  ]
}