{
  "meta": {
    "note": "True-shape nesting on the 13 classic ESICUP nesting sets turned into bin packing with the published convention (square sheets of 1.1, 1.5 and 2 × the largest piece dimension — Martinez-Sykora et al., EJOR 2017). `lbf` (default, synchronous) and `max` (asynchronous, 60 s) through the LIVE Engine API.",
    "convention": "d_max = the largest length or width of any piece in its initial orientation; SB/MB/LB = square sheets of side 1.1·d_max / 1.5·d_max / 2·d_max; unlimited supply; each set's own allowed rotations; no spacing.",
    "lowerBound": "ceil(total piece area / sheet area) — no plan can use fewer sheets; a weak bound for irregular shapes, so \"not on the bound\" does not mean \"not optimal\".",
    "determinism": "`lbf` is deterministic (one run). `max` is time-boxed; the file keeps every run and the page reports the worst run (maxSheets), never the best.",
    "validation": "Every layout re-placed from the response: all parts placed, every vertex on its sheet, no two parts overlapping by more than the per-instance rounding tolerance (triangulated pieces, separating-axis depth).",
    "source": "https://github.com/JeroenGar/jagua-rs/tree/d4046d5cd7395c2ed630bf9001fcce406a2df8ab/assets (the ESICUP sets in one JSON format; the ESICUP collection is CC0)",
    "sha256": {
      "albano": "cf26a244040ef1a49be1b5f9c947ab0ba14046dcaefdc844d6d57d96970a7542",
      "blaz1": "2f4afb682686de22a27970a8ff6bde586aa9624017b39d643c7d7d4e898aef58",
      "dagli": "e4f87dc490ba96467b0c1df3a0957212db3098813195d42fe5695c03aadea07a",
      "fu": "1bae041893a948bc18dd168c4868093fcb62ad11bdd04e5738008859237b0179",
      "jakobs1": "e6b9df65a387e2912b4fe04ecd619e92815d5096cab5537f757e2838dbdacc1d",
      "jakobs2": "779bd33733ef276ba849a155fb1b11323153564e346057edae9fb06e3c87c30d",
      "mao": "2041da1d6a51b48787d5eb96358b352b841f8e16f6930af961e60a35d6b02d42",
      "marques": "8229c324c3dc9e07e9e489d7e95a35f714d0674e6a3db5a62d95fa795b5a2768",
      "shapes0": "3d156bf8de95dd8b8f00cf37d23fdbd8e924594b33329142854507d557c01488",
      "shapes1": "dec476d6eb8e7132356a0e5560ec4c83787704fd327b76147020617e0d8353c5",
      "shirts": "3d35fc0b2127a6d07793bba3d867cdc7b4c88837b991207d849f8f3383598557",
      "swim": "b296788340a3489c3d304b79ad8ca561735fe4ee3f79554f5170da8fcc4f3a0d",
      "trousers": "c2a91d1f1687f540764ddc14103eb03dc5f54ac135194ab9c23b4d50c83bb68e"
    },
    "server": "https://api.cutoptim.com",
    "measuredAt": "2026-09-22",
    "engineVersion": "1.0.0+nest-d4046d5-3780cda5",
    "runsPerInstance": 2,
    "budgetMs": 60000,
    "script": "scripts/research/nest-esicup-benchmark.ts",
    "reproduce": "CO_KEY=<Engine API key> CACHE=<file> npx tsx scripts/research/nest-esicup-benchmark.ts (RUNS=2 by default)"
  },
  "summary": {
    "instances": 39,
    "valid": 39,
    "allPlaced": 39,
    "lbfOnBound": 7,
    "maxOnBound": 11,
    "maxFewerThanLbf": 4,
    "lbfSheets": 248,
    "maxSheetsWorst": 244,
    "boundSheets": 153
  },
  "rows": [
    {
      "id": "albano-SB",
      "set": "albano",
      "size": "SB",
      "side": 3337.4,
      "parts": 24,
      "bound": 4,
      "lbf": {
        "sheets": 6,
        "placed": 24,
        "density": 0.6383
      },
      "max": {
        "minSheets": 6,
        "maxSheets": 6,
        "sheets": [
          6,
          6
        ],
        "placed": 24
      },
      "valid": true,
      "maxPenetration": 0,
      "tol": 0.12196478596140954
    },
    {
      "id": "albano-MB",
      "set": "albano",
      "size": "MB",
      "side": 4551,
      "parts": 24,
      "bound": 3,
      "lbf": {
        "sheets": 3,
        "placed": 24,
        "density": 0.6865
      },
      "max": {
        "minSheets": 3,
        "maxSheets": 3,
        "sheets": [
          3,
          3
        ],
        "placed": 24
      },
      "valid": true,
      "maxPenetration": 0,
      "tol": 0.12196478596140954
    },
    {
      "id": "albano-LB",
      "set": "albano",
      "size": "LB",
      "side": 6068,
      "parts": 24,
      "bound": 2,
      "lbf": {
        "sheets": 2,
        "placed": 24,
        "density": 0.5793
      },
      "max": {
        "minSheets": 2,
        "maxSheets": 2,
        "sheets": [
          2,
          2
        ],
        "placed": 24
      },
      "valid": true,
      "maxPenetration": 0,
      "tol": 0.12196478596140954
    },
    {
      "id": "blaz1-SB",
      "set": "blaz1",
      "size": "SB",
      "side": 5.5,
      "parts": 28,
      "bound": 11,
      "lbf": {
        "sheets": 20,
        "placed": 28,
        "density": 0.5355
      },
      "max": {
        "minSheets": 20,
        "maxSheets": 20,
        "sheets": [
          20,
          20
        ],
        "placed": 28
      },
      "valid": true,
      "maxPenetration": 0.0003162277660169188,
      "tol": 0.0030752539546438774
    },
    {
      "id": "blaz1-MB",
      "set": "blaz1",
      "size": "MB",
      "side": 7.5,
      "parts": 28,
      "bound": 6,
      "lbf": {
        "sheets": 14,
        "placed": 28,
        "density": 0.4114
      },
      "max": {
        "minSheets": 14,
        "maxSheets": 14,
        "sheets": [
          14,
          14
        ],
        "placed": 28
      },
      "valid": true,
      "maxPenetration": 8.881784197001252e-16,
      "tol": 0.0030752539546438774
    },
    {
      "id": "blaz1-LB",
      "set": "blaz1",
      "size": "LB",
      "side": 10,
      "parts": 28,
      "bound": 4,
      "lbf": {
        "sheets": 6,
        "placed": 28,
        "density": 0.54
      },
      "max": {
        "minSheets": 6,
        "maxSheets": 6,
        "sheets": [
          6,
          6
        ],
        "placed": 28
      },
      "valid": true,
      "maxPenetration": 0.00027735009811102884,
      "tol": 0.0030752539546438774
    },
    {
      "id": "dagli-SB",
      "set": "dagli",
      "size": "SB",
      "side": 36.3,
      "parts": 30,
      "bound": 3,
      "lbf": {
        "sheets": 4,
        "placed": 30,
        "density": 0.5757
      },
      "max": {
        "minSheets": 4,
        "maxSheets": 4,
        "sheets": [
          4,
          4
        ],
        "placed": 30
      },
      "valid": true,
      "maxPenetration": 0,
      "tol": 0.003982458042576163
    },
    {
      "id": "dagli-MB",
      "set": "dagli",
      "size": "MB",
      "side": 49.5,
      "parts": 30,
      "bound": 2,
      "lbf": {
        "sheets": 2,
        "placed": 30,
        "density": 0.6192
      },
      "max": {
        "minSheets": 2,
        "maxSheets": 2,
        "sheets": [
          2,
          2
        ],
        "placed": 30
      },
      "valid": true,
      "maxPenetration": 3.552713678800501e-15,
      "tol": 0.003982458042576163
    },
    {
      "id": "dagli-LB",
      "set": "dagli",
      "size": "LB",
      "side": 66,
      "parts": 30,
      "bound": 1,
      "lbf": {
        "sheets": 1,
        "placed": 30,
        "density": 0.6966
      },
      "max": {
        "minSheets": 1,
        "maxSheets": 1,
        "sheets": [
          1,
          1
        ],
        "placed": 30
      },
      "valid": true,
      "maxPenetration": 0.0004789131426115034,
      "tol": 0.003982458042576163
    },
    {
      "id": "fu-SB",
      "set": "fu",
      "size": "SB",
      "side": 15.4,
      "parts": 12,
      "bound": 5,
      "lbf": {
        "sheets": 9,
        "placed": 12,
        "density": 0.5074
      },
      "max": {
        "minSheets": 9,
        "maxSheets": 9,
        "sheets": [
          9,
          9
        ],
        "placed": 12
      },
      "valid": true,
      "maxPenetration": 0,
      "tol": 0.0035195422484597142
    },
    {
      "id": "fu-MB",
      "set": "fu",
      "size": "MB",
      "side": 21,
      "parts": 12,
      "bound": 3,
      "lbf": {
        "sheets": 5,
        "placed": 12,
        "density": 0.4912
      },
      "max": {
        "minSheets": 5,
        "maxSheets": 5,
        "sheets": [
          5,
          5
        ],
        "placed": 12
      },
      "valid": true,
      "maxPenetration": 0,
      "tol": 0.0035195422484597142
    },
    {
      "id": "fu-LB",
      "set": "fu",
      "size": "LB",
      "side": 28,
      "parts": 12,
      "bound": 2,
      "lbf": {
        "sheets": 3,
        "placed": 12,
        "density": 0.4605
      },
      "max": {
        "minSheets": 2,
        "maxSheets": 2,
        "sheets": [
          2,
          2
        ],
        "placed": 12
      },
      "valid": true,
      "maxPenetration": 1.7763568394002505e-15,
      "tol": 0.0035195422484597142
    },
    {
      "id": "jakobs1-SB",
      "set": "jakobs1",
      "size": "SB",
      "side": 8.8,
      "parts": 25,
      "bound": 6,
      "lbf": {
        "sheets": 9,
        "placed": 25,
        "density": 0.5624
      },
      "max": {
        "minSheets": 9,
        "maxSheets": 9,
        "sheets": [
          9,
          9
        ],
        "placed": 25
      },
      "valid": true,
      "maxPenetration": 0.0004472135955002621,
      "tol": 0.003140641112792445
    },
    {
      "id": "jakobs1-MB",
      "set": "jakobs1",
      "size": "MB",
      "side": 12,
      "parts": 25,
      "bound": 3,
      "lbf": {
        "sheets": 4,
        "placed": 25,
        "density": 0.6806
      },
      "max": {
        "minSheets": 4,
        "maxSheets": 4,
        "sheets": [
          4,
          4
        ],
        "placed": 25
      },
      "valid": true,
      "maxPenetration": 1.7763568394002505e-15,
      "tol": 0.003140641112792445
    },
    {
      "id": "jakobs1-LB",
      "set": "jakobs1",
      "size": "LB",
      "side": 16,
      "parts": 25,
      "bound": 2,
      "lbf": {
        "sheets": 3,
        "placed": 25,
        "density": 0.5104
      },
      "max": {
        "minSheets": 3,
        "maxSheets": 3,
        "sheets": [
          3,
          3
        ],
        "placed": 25
      },
      "valid": true,
      "maxPenetration": 0.00044721359549804163,
      "tol": 0.003140641112792445
    },
    {
      "id": "jakobs2-SB",
      "set": "jakobs2",
      "size": "SB",
      "side": 17.6,
      "parts": 25,
      "bound": 5,
      "lbf": {
        "sheets": 8,
        "placed": 25,
        "density": 0.5452
      },
      "max": {
        "minSheets": 8,
        "maxSheets": 8,
        "sheets": [
          8,
          8
        ],
        "placed": 25
      },
      "valid": true,
      "maxPenetration": 1.7763568394002505e-15,
      "tol": 0.0034249111113802623
    },
    {
      "id": "jakobs2-MB",
      "set": "jakobs2",
      "size": "MB",
      "side": 24,
      "parts": 25,
      "bound": 3,
      "lbf": {
        "sheets": 4,
        "placed": 25,
        "density": 0.5864
      },
      "max": {
        "minSheets": 4,
        "maxSheets": 4,
        "sheets": [
          4,
          4
        ],
        "placed": 25
      },
      "valid": true,
      "maxPenetration": 0.0007071067811850185,
      "tol": 0.0034249111113802623
    },
    {
      "id": "jakobs2-LB",
      "set": "jakobs2",
      "size": "LB",
      "side": 32,
      "parts": 25,
      "bound": 2,
      "lbf": {
        "sheets": 3,
        "placed": 25,
        "density": 0.4398
      },
      "max": {
        "minSheets": 2,
        "maxSheets": 2,
        "sheets": [
          2,
          2
        ],
        "placed": 25
      },
      "valid": true,
      "maxPenetration": 0.000312347523777845,
      "tol": 0.0034249111113802623
    },
    {
      "id": "mao-SB",
      "set": "mao",
      "size": "SB",
      "side": 1206.7,
      "parts": 20,
      "bound": 3,
      "lbf": {
        "sheets": 4,
        "placed": 20,
        "density": 0.6453
      },
      "max": {
        "minSheets": 4,
        "maxSheets": 4,
        "sheets": [
          4,
          4
        ],
        "placed": 20
      },
      "valid": true,
      "maxPenetration": 0,
      "tol": 0.04291632629428063
    },
    {
      "id": "mao-MB",
      "set": "mao",
      "size": "MB",
      "side": 1645.5,
      "parts": 20,
      "bound": 2,
      "lbf": {
        "sheets": 3,
        "placed": 20,
        "density": 0.4627
      },
      "max": {
        "minSheets": 2,
        "maxSheets": 2,
        "sheets": [
          2,
          2
        ],
        "placed": 20
      },
      "valid": true,
      "maxPenetration": 0,
      "tol": 0.04291632629428063
    },
    {
      "id": "mao-LB",
      "set": "mao",
      "size": "LB",
      "side": 2194,
      "parts": 20,
      "bound": 1,
      "lbf": {
        "sheets": 2,
        "placed": 20,
        "density": 0.3904
      },
      "max": {
        "minSheets": 1,
        "maxSheets": 1,
        "sheets": [
          1,
          1
        ],
        "placed": 20
      },
      "valid": true,
      "maxPenetration": 0,
      "tol": 0.04291632629428063
    },
    {
      "id": "marques-SB",
      "set": "marques",
      "size": "SB",
      "side": 42.9,
      "parts": 24,
      "bound": 4,
      "lbf": {
        "sheets": 6,
        "placed": 24,
        "density": 0.6515
      },
      "max": {
        "minSheets": 6,
        "maxSheets": 6,
        "sheets": [
          6,
          6
        ],
        "placed": 24
      },
      "valid": true,
      "maxPenetration": 0.00019611613513603743,
      "tol": 0.00427357660838367
    },
    {
      "id": "marques-MB",
      "set": "marques",
      "size": "MB",
      "side": 58.5,
      "parts": 24,
      "bound": 3,
      "lbf": {
        "sheets": 3,
        "placed": 24,
        "density": 0.7007
      },
      "max": {
        "minSheets": 3,
        "maxSheets": 3,
        "sheets": [
          3,
          3
        ],
        "placed": 24
      },
      "valid": true,
      "maxPenetration": 0,
      "tol": 0.00427357660838367
    },
    {
      "id": "marques-LB",
      "set": "marques",
      "size": "LB",
      "side": 78,
      "parts": 24,
      "bound": 2,
      "lbf": {
        "sheets": 2,
        "placed": 24,
        "density": 0.5912
      },
      "max": {
        "minSheets": 2,
        "maxSheets": 2,
        "sheets": [
          2,
          2
        ],
        "placed": 24
      },
      "valid": true,
      "maxPenetration": 0,
      "tol": 0.00427357660838367
    },
    {
      "id": "shapes0-SB",
      "set": "shapes0",
      "size": "SB",
      "side": 15.4,
      "parts": 43,
      "bound": 7,
      "lbf": {
        "sheets": 17,
        "placed": 43,
        "density": 0.3959
      },
      "max": {
        "minSheets": 17,
        "maxSheets": 17,
        "sheets": [
          17,
          17
        ],
        "placed": 43
      },
      "valid": true,
      "maxPenetration": 0.0007071067811867948,
      "tol": 0.0033473508176832642
    },
    {
      "id": "shapes0-MB",
      "set": "shapes0",
      "size": "MB",
      "side": 21,
      "parts": 43,
      "bound": 4,
      "lbf": {
        "sheets": 10,
        "placed": 43,
        "density": 0.3619
      },
      "max": {
        "minSheets": 10,
        "maxSheets": 10,
        "sheets": [
          10,
          10
        ],
        "placed": 43
      },
      "valid": true,
      "maxPenetration": 8.374377580278036e-16,
      "tol": 0.0033473508176832642
    },
    {
      "id": "shapes0-LB",
      "set": "shapes0",
      "size": "LB",
      "side": 28,
      "parts": 43,
      "bound": 3,
      "lbf": {
        "sheets": 5,
        "placed": 43,
        "density": 0.4071
      },
      "max": {
        "minSheets": 5,
        "maxSheets": 5,
        "sheets": [
          5,
          5
        ],
        "placed": 43
      },
      "valid": true,
      "maxPenetration": 0,
      "tol": 0.0033473508176832642
    },
    {
      "id": "shapes1-SB",
      "set": "shapes1",
      "size": "SB",
      "side": 15.4,
      "parts": 43,
      "bound": 7,
      "lbf": {
        "sheets": 15,
        "placed": 43,
        "density": 0.4486
      },
      "max": {
        "minSheets": 15,
        "maxSheets": 15,
        "sheets": [
          15,
          15
        ],
        "placed": 43
      },
      "valid": true,
      "maxPenetration": 0,
      "tol": 0.0033473508176832642
    },
    {
      "id": "shapes1-MB",
      "set": "shapes1",
      "size": "MB",
      "side": 21,
      "parts": 43,
      "bound": 4,
      "lbf": {
        "sheets": 8,
        "placed": 43,
        "density": 0.4524
      },
      "max": {
        "minSheets": 8,
        "maxSheets": 8,
        "sheets": [
          8,
          8
        ],
        "placed": 43
      },
      "valid": true,
      "maxPenetration": 3.552713678800501e-15,
      "tol": 0.0033473508176832642
    },
    {
      "id": "shapes1-LB",
      "set": "shapes1",
      "size": "LB",
      "side": 28,
      "parts": 43,
      "bound": 3,
      "lbf": {
        "sheets": 4,
        "placed": 43,
        "density": 0.5089
      },
      "max": {
        "minSheets": 4,
        "maxSheets": 4,
        "sheets": [
          4,
          4
        ],
        "placed": 43
      },
      "valid": true,
      "maxPenetration": 8.881784197001252e-16,
      "tol": 0.0033473508176832642
    },
    {
      "id": "shirts-SB",
      "set": "shirts",
      "size": "SB",
      "side": 14.3,
      "parts": 99,
      "bound": 11,
      "lbf": {
        "sheets": 16,
        "placed": 99,
        "density": 0.6602
      },
      "max": {
        "minSheets": 16,
        "maxSheets": 16,
        "sheets": [
          16,
          16
        ],
        "placed": 99
      },
      "valid": true,
      "maxPenetration": 0.00044721359549804163,
      "tol": 0.003303208011726874
    },
    {
      "id": "shirts-MB",
      "set": "shirts",
      "size": "MB",
      "side": 19.5,
      "parts": 99,
      "bound": 6,
      "lbf": {
        "sheets": 9,
        "placed": 99,
        "density": 0.6312
      },
      "max": {
        "minSheets": 9,
        "maxSheets": 9,
        "sheets": [
          9,
          9
        ],
        "placed": 99
      },
      "valid": true,
      "maxPenetration": 0.0004472135955033707,
      "tol": 0.003303208011726874
    },
    {
      "id": "shirts-LB",
      "set": "shirts",
      "size": "LB",
      "side": 26,
      "parts": 99,
      "bound": 4,
      "lbf": {
        "sheets": 5,
        "placed": 99,
        "density": 0.6391
      },
      "max": {
        "minSheets": 5,
        "maxSheets": 5,
        "sheets": [
          5,
          5
        ],
        "placed": 99
      },
      "valid": true,
      "maxPenetration": 0.00019611613513781379,
      "tol": 0.003303208011726874
    },
    {
      "id": "swim-SB",
      "set": "swim",
      "size": "SB",
      "side": 2133.61,
      "parts": 48,
      "bound": 6,
      "lbf": {
        "sheets": 12,
        "placed": 48,
        "density": 0.4658
      },
      "max": {
        "minSheets": 12,
        "maxSheets": 12,
        "sheets": [
          12,
          12
        ],
        "placed": 48
      },
      "valid": true,
      "maxPenetration": 0,
      "tol": 0.0665773037769639
    },
    {
      "id": "swim-MB",
      "set": "swim",
      "size": "MB",
      "side": 2909.468,
      "parts": 48,
      "bound": 4,
      "lbf": {
        "sheets": 6,
        "placed": 48,
        "density": 0.501
      },
      "max": {
        "minSheets": 6,
        "maxSheets": 6,
        "sheets": [
          6,
          6
        ],
        "placed": 48
      },
      "valid": true,
      "maxPenetration": 0.00021937184465059545,
      "tol": 0.0665773037769639
    },
    {
      "id": "swim-LB",
      "set": "swim",
      "size": "LB",
      "side": 3879.29,
      "parts": 48,
      "bound": 2,
      "lbf": {
        "sheets": 3,
        "placed": 48,
        "density": 0.5636
      },
      "max": {
        "minSheets": 3,
        "maxSheets": 3,
        "sheets": [
          3,
          3
        ],
        "placed": 48
      },
      "valid": true,
      "maxPenetration": 0,
      "tol": 0.0665773037769639
    },
    {
      "id": "trousers-SB",
      "set": "trousers",
      "size": "SB",
      "side": 64.9,
      "parts": 64,
      "bound": 5,
      "lbf": {
        "sheets": 6,
        "placed": 64,
        "density": 0.6809
      },
      "max": {
        "minSheets": 6,
        "maxSheets": 6,
        "sheets": [
          6,
          6
        ],
        "placed": 64
      },
      "valid": true,
      "maxPenetration": 2.6645352591003757e-15,
      "tol": 0.004937316483836881
    },
    {
      "id": "trousers-MB",
      "set": "trousers",
      "size": "MB",
      "side": 88.5,
      "parts": 64,
      "bound": 3,
      "lbf": {
        "sheets": 4,
        "placed": 64,
        "density": 0.5492
      },
      "max": {
        "minSheets": 4,
        "maxSheets": 4,
        "sheets": [
          4,
          4
        ],
        "placed": 64
      },
      "valid": true,
      "maxPenetration": 0.00024253562503417925,
      "tol": 0.004937316483836881
    },
    {
      "id": "trousers-LB",
      "set": "trousers",
      "size": "LB",
      "side": 118,
      "parts": 64,
      "bound": 2,
      "lbf": {
        "sheets": 2,
        "placed": 64,
        "density": 0.6179
      },
      "max": {
        "minSheets": 2,
        "maxSheets": 2,
        "sheets": [
          2,
          2
        ],
        "placed": 64
      },
      "valid": true,
      "maxPenetration": 0.00024253562503773196,
      "tol": 0.004937316483836881
    }
  ]
}
