{
  "meta": {
    "generatedFor": "CutOptim Engine API 2D + 1D",
    "engineVersion": "1.0.0+f0a8fe46",
    "contractVersion": "1",
    "canonicalAvailable": true,
    "cacheUsed": false,
    "freshSolves": 9268,
    "cachedSolves": 0,
    "lowerBoundNote": "lower_bound = max(LB1, LB2). LB1 is the kerf-corrected area bound; LB2 is a dual-feasible-function bound whose grid contains the identity, so LB2 >= LB1 by construction. Neither is the strongest bound in the literature (Martello-Vigo 1998, Carlier-Clautiaux-Moukrim are stronger), so `gap` is an UPPER estimate of the true gap and a job that is not on the bound may still be optimal. `on_optimum` is only reported where the instance construction proves the optimum.",
    "bucketNote": "Size buckets are <50 / 50-150 / 150+ parts. The 150 boundary is where both packers change strategy (pack-2d.ts:542 drops the O(n^2) guillotineBest search, pack-1d.ts:408 drops subset-sum), so the 150+ bucket measures a different code path — a deliberate speed trade-off, not an algorithmic cliff.",
    "scalingNote": "Every instance is scaled by an integer factor so the bin's short side is at least 1000 units. pack-2d.ts discards free rectangles thinner than 1 unit (MIN_FREE), which on a literature 10x10 bin would be 10% of the bin. Integer scaling is an exact bijection, so the optimum in bins is unchanged."
  },
  "corpus": {
    "CLASS": {
      "instances": 500,
      "dim": "2d",
      "corpus": "canonical"
    },
    "BENG": {
      "instances": 10,
      "dim": "2d",
      "corpus": "canonical"
    },
    "A": {
      "instances": 43,
      "dim": "2d",
      "corpus": "canonical"
    },
    "CLASS-R": {
      "instances": 500,
      "dim": "2d",
      "corpus": "regenerated"
    },
    "PERFECT2D": {
      "instances": 72,
      "dim": "2d",
      "corpus": "regenerated"
    },
    "UNIF1D": {
      "instances": 40,
      "dim": "1d",
      "corpus": "regenerated"
    },
    "TRIPLET1D": {
      "instances": 40,
      "dim": "1d",
      "corpus": "regenerated"
    },
    "RAND1D": {
      "instances": 54,
      "dim": "1d",
      "corpus": "regenerated"
    }
  },
  "excluded": [],
  "groups": [
    {
      "key": {
        "corpus": "canonical",
        "dim": "2d",
        "profile": "literature",
        "engine": "balanced",
        "orientation": "oriented"
      },
      "overall": {
        "jobs": 553,
        "on_bound": 282,
        "on_bound_pct": 50.99,
        "avg_gap_when_not_on_bound": 0.1374,
        "worst_gap": 1,
        "optimum_jobs": 0,
        "on_optimum": 0,
        "on_optimum_pct": null,
        "runtime_ms": {
          "median": 0.08,
          "p95": 0.26
        }
      },
      "by_size": {
        "<50": {
          "jobs": 217,
          "on_bound": 130,
          "on_bound_pct": 59.91,
          "avg_gap_when_not_on_bound": 0.2091,
          "worst_gap": 1,
          "optimum_jobs": 0,
          "on_optimum": 0,
          "on_optimum_pct": null,
          "runtime_ms": {
            "median": 0.04,
            "p95": 0.09
          }
        },
        "50-150": {
          "jobs": 315,
          "on_bound": 150,
          "on_bound_pct": 47.62,
          "avg_gap_when_not_on_bound": 0.1045,
          "worst_gap": 0.5,
          "optimum_jobs": 0,
          "on_optimum": 0,
          "on_optimum_pct": null,
          "runtime_ms": {
            "median": 0.1,
            "p95": 0.24
          }
        },
        "150+": {
          "jobs": 21,
          "on_bound": 2,
          "on_bound_pct": 9.52,
          "avg_gap_when_not_on_bound": 0.0947,
          "worst_gap": 0.1667,
          "optimum_jobs": 0,
          "on_optimum": 0,
          "on_optimum_pct": null,
          "runtime_ms": {
            "median": 0.31,
            "p95": 1.19
          }
        }
      },
      "by_dataset": {
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          "jobs": 43,
          "on_bound": 11,
          "on_bound_pct": 25.58,
          "avg_gap_when_not_on_bound": 0.1296,
          "worst_gap": 0.5,
          "optimum_jobs": 0,
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          "on_optimum_pct": null,
          "runtime_ms": {
            "median": 0.15,
            "p95": 1.04
          }
        },
        "BENG": {
          "jobs": 10,
          "on_bound": 8,
          "on_bound_pct": 80,
          "avg_gap_when_not_on_bound": 0.1288,
          "worst_gap": 0.1667,
          "optimum_jobs": 0,
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          "runtime_ms": {
            "median": 0.08,
            "p95": 0.27
          }
        },
        "CLASS": {
          "jobs": 500,
          "on_bound": 263,
          "on_bound_pct": 52.6,
          "avg_gap_when_not_on_bound": 0.1385,
          "worst_gap": 1,
          "optimum_jobs": 0,
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          "runtime_ms": {
            "median": 0.08,
            "p95": 0.22
          }
        }
      }
    },
    {
      "key": {
        "corpus": "canonical",
        "dim": "2d",
        "profile": "literature",
        "engine": "balanced",
        "orientation": "rotatable"
      },
      "overall": {
        "jobs": 553,
        "on_bound": 324,
        "on_bound_pct": 58.59,
        "avg_gap_when_not_on_bound": 0.1436,
        "worst_gap": 1,
        "optimum_jobs": 0,
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        "runtime_ms": {
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          "p95": 0.28
        }
      },
      "by_size": {
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          "jobs": 217,
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          "on_bound_pct": 71.43,
          "avg_gap_when_not_on_bound": 0.2455,
          "worst_gap": 1,
          "optimum_jobs": 0,
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          "runtime_ms": {
            "median": 0.04,
            "p95": 0.1
          }
        },
        "50-150": {
          "jobs": 315,
          "on_bound": 167,
          "on_bound_pct": 53.02,
          "avg_gap_when_not_on_bound": 0.1076,
          "worst_gap": 0.5,
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          "runtime_ms": {
            "median": 0.12,
            "p95": 0.26
          }
        },
        "150+": {
          "jobs": 21,
          "on_bound": 2,
          "on_bound_pct": 9.52,
          "avg_gap_when_not_on_bound": 0.0914,
          "worst_gap": 0.1667,
          "optimum_jobs": 0,
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          "runtime_ms": {
            "median": 0.39,
            "p95": 2.02
          }
        }
      },
      "by_dataset": {
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          "avg_gap_when_not_on_bound": 0.1345,
          "worst_gap": 0.5,
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          "runtime_ms": {
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          }
        },
        "BENG": {
          "jobs": 10,
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          "on_bound_pct": 70,
          "avg_gap_when_not_on_bound": 0.1229,
          "worst_gap": 0.1667,
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          "runtime_ms": {
            "median": 0.08,
            "p95": 0.35
          }
        },
        "CLASS": {
          "jobs": 500,
          "on_bound": 306,
          "on_bound_pct": 61.2,
          "avg_gap_when_not_on_bound": 0.1454,
          "worst_gap": 1,
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          "runtime_ms": {
            "median": 0.09,
            "p95": 0.22
          }
        }
      }
    },
    {
      "key": {
        "corpus": "canonical",
        "dim": "2d",
        "profile": "literature",
        "engine": "heuristic",
        "orientation": "oriented"
      },
      "overall": {
        "jobs": 553,
        "on_bound": 283,
        "on_bound_pct": 51.18,
        "avg_gap_when_not_on_bound": 0.1296,
        "worst_gap": 1,
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        "runtime_ms": {
          "median": 10.16,
          "p95": 38.76
        }
      },
      "by_size": {
        "<50": {
          "jobs": 217,
          "on_bound": 139,
          "on_bound_pct": 64.06,
          "avg_gap_when_not_on_bound": 0.2079,
          "worst_gap": 1,
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          "runtime_ms": {
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            "p95": 8.1
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        },
        "50-150": {
          "jobs": 315,
          "on_bound": 142,
          "on_bound_pct": 45.08,
          "avg_gap_when_not_on_bound": 0.096,
          "worst_gap": 0.5,
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          "runtime_ms": {
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            "p95": 39.62
          }
        },
        "150+": {
          "jobs": 21,
          "on_bound": 2,
          "on_bound_pct": 9.52,
          "avg_gap_when_not_on_bound": 0.1141,
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            "p95": 125.05
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        }
      },
      "by_dataset": {
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        },
        "BENG": {
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          "avg_gap_when_not_on_bound": 0.1667,
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        },
        "CLASS": {
          "jobs": 500,
          "on_bound": 260,
          "on_bound_pct": 52,
          "avg_gap_when_not_on_bound": 0.1301,
          "worst_gap": 1,
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          "runtime_ms": {
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            "p95": 37.98
          }
        }
      }
    },
    {
      "key": {
        "corpus": "canonical",
        "dim": "2d",
        "profile": "literature",
        "engine": "heuristic",
        "orientation": "rotatable"
      },
      "overall": {
        "jobs": 553,
        "on_bound": 326,
        "on_bound_pct": 58.95,
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        "worst_gap": 1,
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        "runtime_ms": {
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      },
      "by_size": {
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          "jobs": 217,
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          "avg_gap_when_not_on_bound": 0.232,
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          "runtime_ms": {
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        },
        "50-150": {
          "jobs": 315,
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          "avg_gap_when_not_on_bound": 0.1057,
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            "p95": 38.79
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        },
        "150+": {
          "jobs": 21,
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          "on_bound_pct": 9.52,
          "avg_gap_when_not_on_bound": 0.0985,
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          "runtime_ms": {
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            "p95": 159.21
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        }
      },
      "by_dataset": {
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          "runtime_ms": {
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            "p95": 125.33
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        },
        "BENG": {
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        },
        "CLASS": {
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          "runtime_ms": {
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            "p95": 37.38
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        }
      }
    },
    {
      "key": {
        "corpus": "canonical",
        "dim": "2d",
        "profile": "workshop",
        "engine": "balanced",
        "orientation": "oriented"
      },
      "overall": {
        "jobs": 553,
        "on_bound": 280,
        "on_bound_pct": 50.63,
        "avg_gap_when_not_on_bound": 0.1382,
        "worst_gap": 1,
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        "runtime_ms": {
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      },
      "by_size": {
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          "jobs": 217,
          "on_bound": 138,
          "on_bound_pct": 63.59,
          "avg_gap_when_not_on_bound": 0.201,
          "worst_gap": 1,
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          "runtime_ms": {
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        },
        "50-150": {
          "jobs": 315,
          "on_bound": 140,
          "on_bound_pct": 44.44,
          "avg_gap_when_not_on_bound": 0.1153,
          "worst_gap": 0.5,
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          "runtime_ms": {
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            "p95": 0.27
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        },
        "150+": {
          "jobs": 21,
          "on_bound": 2,
          "on_bound_pct": 9.52,
          "avg_gap_when_not_on_bound": 0.0888,
          "worst_gap": 0.1333,
          "optimum_jobs": 0,
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          "runtime_ms": {
            "median": 0.3,
            "p95": 1.02
          }
        }
      },
      "by_dataset": {
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          "avg_gap_when_not_on_bound": 0.1269,
          "worst_gap": 0.5,
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          "runtime_ms": {
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        },
        "BENG": {
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          "avg_gap_when_not_on_bound": 0.1752,
          "worst_gap": 0.3333,
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        },
        "CLASS": {
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          "avg_gap_when_not_on_bound": 0.1391,
          "worst_gap": 1,
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          "runtime_ms": {
            "median": 0.09,
            "p95": 0.24
          }
        }
      }
    },
    {
      "key": {
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        "dim": "2d",
        "profile": "workshop",
        "engine": "balanced",
        "orientation": "rotatable"
      },
      "overall": {
        "jobs": 553,
        "on_bound": 294,
        "on_bound_pct": 53.16,
        "avg_gap_when_not_on_bound": 0.1401,
        "worst_gap": 1,
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        "runtime_ms": {
          "median": 0.09,
          "p95": 0.3
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      },
      "by_size": {
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          "jobs": 217,
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          "avg_gap_when_not_on_bound": 0.2131,
          "worst_gap": 1,
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          "runtime_ms": {
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        },
        "50-150": {
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          "worst_gap": 0.5,
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          "runtime_ms": {
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            "p95": 0.28
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        },
        "150+": {
          "jobs": 21,
          "on_bound": 2,
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          "avg_gap_when_not_on_bound": 0.0847,
          "worst_gap": 0.1333,
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          "runtime_ms": {
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        }
      },
      "by_dataset": {
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          "runtime_ms": {
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        "BENG": {
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          "avg_gap_when_not_on_bound": 0.0982,
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          "runtime_ms": {
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        "CLASS": {
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          "avg_gap_when_not_on_bound": 0.1414,
          "worst_gap": 1,
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          "runtime_ms": {
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        }
      }
    },
    {
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        "dim": "2d",
        "profile": "workshop",
        "engine": "heuristic",
        "orientation": "oriented"
      },
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        "on_bound": 261,
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        "runtime_ms": {
          "median": 14.58,
          "p95": 44.27
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      },
      "by_size": {
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          "runtime_ms": {
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        },
        "50-150": {
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          "on_bound_pct": 38.1,
          "avg_gap_when_not_on_bound": 0.1258,
          "worst_gap": 0.5,
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          "runtime_ms": {
            "median": 24.88,
            "p95": 45.08
          }
        },
        "150+": {
          "jobs": 21,
          "on_bound": 2,
          "on_bound_pct": 9.52,
          "avg_gap_when_not_on_bound": 0.1101,
          "worst_gap": 0.2,
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          "runtime_ms": {
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            "p95": 128.54
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        }
      },
      "by_dataset": {
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