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Open measurement

Benchmarks

Most cutting software quotes a yield percentage. A percentage is meaningless without knowing what was achievable — 80 % can be optimal on one job and wasteful on another. So we measure against the theoretical minimum instead: for every test job we compute a lower bound on the number of sheets or bars any plan could possibly use, then report how far our plan is from it. The inputs are published academic instances, the results are below, and you can re-run the whole thing yourself.

89.3 %
of panel jobs land on the bound or within one sheet of it
53.0 %
are provably optimal — exactly on the bound
1.48 %
average gap to the bound on linear jobs
1,259
test instances, 8 benchmark sets

Panel figures are the 553 canonical instances at kerf 0 with rotation disabled — the convention the literature uses, so they are comparable to published work on the same instances.

How the bound is computed

A lower bound is a number of sheets no plan can go below. If our plan matches it, the plan is provably optimal for that job — no better one exists. Two bounds are computed and the larger is used; both are reported per job so you can see what each contributes.

LB1 — area, corrected for the saw kerf

Give every placed piece a footprint enlarged by half a kerf on each side. In a guillotine layout any two pieces are separated by at least one cut, and every cut consumes a kerf, so those footprints never overlap — and they all fit inside the usable sheet grown by half a kerf on each side. Summing them gives a bound that no layout can beat. At kerf 0 this is the classical area bound.

LB1 = ceil( Σ (wᵢ + k)(hᵢ + k) / ((W + k)(H + k)) )

LB2 — dual feasible functions

The area bound is blind to shape: five pieces of 600 × 600 use only 1.8 sheets’ worth of area on a 1000 × 1000 sheet, yet only one fits per sheet, so five sheets are needed. A dual feasible function is a transformation of the sizes that preserves feasibility, which lets the area argument see that structure. Two families are used — Martello–Toth and Fekete–Schepers — applied independently to widths and heights, and the best result over the whole parameter grid is taken. Under rotation each piece is charged the smaller of its two orientations, otherwise the bound could exceed the true optimum.

LB2 = max over (f,g) of ceil( Σ f(wᵢ + k)·g(hᵢ + k) / (f(W + k)·g(H + k)) )

Why the instances are scaled

The published instances use small unit-less integers — some have a 10 × 10 bin. Our packer discards free strips thinner than one unit, which on a 10 × 10 bin would be a tenth of the sheet. Every instance is therefore multiplied by a whole number until its short side is at least 1000 units. Integer scaling is an exact transformation: the optimal number of sheets does not change, the instance just moves out of the reach of that floor.

Reproducibility

The optimizer is deterministic — the same input always produces the same plan. The whole corpus was run twice with caching disabled and every field except the timings came back byte-identical. The instance sources are pinned by SHA-256, so a re-run can prove it measured the same bytes. And every job is checked against the invariant that the bound never exceeds the plan actually produced; a single violation stops the run rather than publishing a number.

What these numbers do not say

  • Our bound is not the strongest one known. Stronger bounds exist in the literature, so the gap we report is an upper estimate of the real gap — a job we mark as “not on the bound” may in fact be optimal, and we simply cannot prove it.
  • Relative gaps exaggerate on small jobs. The median job here needs about a dozen sheets, so one extra sheet reads as a large percentage. The absolute column — how many sheets over the bound — is the honest one.
  • Two of the generated families are adversarial by construction: their pieces tile the bins exactly, leaving zero slack, so any imperfection costs a whole bin. They are a ceiling test, not a picture of typical work.
  • The 150-part boundary in the size table is not arbitrary — it is where both packers change strategy for speed. Jobs above it run a different code path, so a change there is a deliberate trade-off rather than a cliff.
  • The measurement calls the same functions the public Engine API runs, in-process rather than over HTTP — network latency would corrupt the timings. That equivalence is not assumed: a sample of instances is replayed against the live API and required to come back identical field for field.

By job size

Split by part count. Both packers drop their most expensive search strategy above 150 parts, so that boundary separates two different code paths.

PartsJobsOn the boundAvg gap when notp95 time
2D · <5021765.0 %21.0 %23.32 ms
2D · 50-15031547.6 %9.6 %77.34 ms
2D · 150+219.5 %10.1 %474.53 ms
1D · 50-1504835.4 %3.6 %7.12 ms
1D · 150+8633.7 %1.5 %280.55 ms

What was measured

Two corpora, never mixed into one number. The canonical sets are the instances the academic literature uses; they are downloaded and verified by hash rather than copied here, because their source states no licence that permits redistribution. The generated sets are ours to publish.

SetInstancesOriginIn this repo?
CLASS500JSHA-256 9f5ca94d6a…
BENG10MSHA-256 90536b0527…
A43RSHA-256 dd1804179a…
CLASS-R500Generated — built from the published generator parameters, our own seeds
PERFECT2D72Generated — built from the published generator parameters, our own seeds
UNIF1D40Generated — built from the published generator parameters, our own seeds
TRIPLET1D40Generated — built from the published generator parameters, our own seeds
RAND1D54Generated — built from the published generator parameters, our own seeds

Two generated families carry a proven optimum by construction: their pieces tile the bins exactly with zero waste, so the optimum is known and not merely bounded.

Strip-packing, knapsack and orthogonal-packing sets are excluded: they are different problems with different objectives, and a “bins used” figure is undefined for them. The one-dimensional BPPLIB collection is excluded on licence grounds — its authors publish it under CC BY-NC-ND, which does not permit use in a commercial product’s benchmark.

Every job

One row per instance at the headline settings. The other profiles, engines and orientations are in the downloadable results file.

Showing 1,259 of 1,259

InstanceSetPartsStockBoundUsedOverYieldms
CLASS/cl_01_020_01CLASS201000×1000888119.53
CLASS/cl_01_020_02CLASS201000×10005586.66.46
CLASS/cl_01_020_03CLASS201000×100089+172.229.33
CLASS/cl_01_020_04CLASS201000×100056+178.335.02
CLASS/cl_01_020_05CLASS201000×100066896.03
CLASS/cl_01_020_06CLASS201000×10009981.786.3
CLASS/cl_01_020_07CLASS201000×10006688.335.78
CLASS/cl_01_020_08CLASS201000×10006684.56
CLASS/cl_01_020_09CLASS201000×10008876.885.9
CLASS/cl_01_020_10CLASS201000×100088837.38
CLASS/cl_01_040_01CLASS401000×1000101089.513.33
CLASS/cl_01_040_02CLASS401000×10001112+189.1714.37
CLASS/cl_01_040_03CLASS401000×10001617+181.7616.15
CLASS/cl_01_040_04CLASS401000×1000141489.0717.8
CLASS/cl_01_040_05CLASS401000×1000151591.7313.51
CLASS/cl_01_040_06CLASS401000×1000141475.7916.6
CLASS/cl_01_040_07CLASS401000×10001112+189.513.19
CLASS/cl_01_040_08CLASS401000×10001819+176.5318.11
CLASS/cl_01_040_09CLASS401000×1000111191.6410.99
CLASS/cl_01_040_10CLASS401000×10001112+185.512.96
CLASS/cl_01_060_01CLASS601000×10002223+187.2629.24
CLASS/cl_01_060_02CLASS601000×1000191992.9520.99
CLASS/cl_01_060_03CLASS601000×1000212186.5223.26
CLASS/cl_01_060_04CLASS601000×1000222282.8625.76
CLASS/cl_01_060_05CLASS601000×1000191986.7927.32
CLASS/cl_01_060_06CLASS601000×10001718+192.1724.27
CLASS/cl_01_060_07CLASS601000×1000161692.524.47
CLASS/cl_01_060_08CLASS601000×1000212189.6731.67
CLASS/cl_01_060_09CLASS601000×10001819+191.4223.52
CLASS/cl_01_060_10CLASS601000×1000242487.8330.44
CLASS/cl_01_080_01CLASS801000×1000252590.9638.28
CLASS/cl_01_080_02CLASS801000×1000262692.5837.88
CLASS/cl_01_080_03CLASS801000×1000272785.1131.04
CLASS/cl_01_080_04CLASS801000×1000272790.329.38
CLASS/cl_01_080_05CLASS801000×1000262690.4636.19
CLASS/cl_01_080_06CLASS801000×1000282890.0437
CLASS/cl_01_080_07CLASS801000×1000313185.8138.29
CLASS/cl_01_080_08CLASS801000×1000292991.1732.01
CLASS/cl_01_080_09CLASS801000×10003031+189.934.21
CLASS/cl_01_080_10CLASS801000×1000262693.3132.58
CLASS/cl_01_100_01CLASS1001000×10002829+194.2448.5
CLASS/cl_01_100_02CLASS1001000×10003132+19544.88
CLASS/cl_01_100_03CLASS1001000×100029299246.75
CLASS/cl_01_100_04CLASS1001000×10003031+192.9446.07
CLASS/cl_01_100_05CLASS1001000×1000323294.2248.57
CLASS/cl_01_100_06CLASS1001000×1000373791.349.75
CLASS/cl_01_100_07CLASS1001000×10002829+194.3844.77
CLASS/cl_01_100_08CLASS1001000×10003334+191.7949.86
CLASS/cl_01_100_09CLASS1001000×10003132+193.3150.22
CLASS/cl_01_100_10CLASS1001000×1000383889.9257.65
CLASS/cl_02_020_01CLASS201020×102011726.31
CLASS/cl_02_020_02CLASS201020×10201148.118.85
CLASS/cl_02_020_03CLASS201020×10201172.225.54
CLASS/cl_02_020_04CLASS201020×10201152.228.84
CLASS/cl_02_020_05CLASS201020×10201159.338.18
CLASS/cl_02_020_06CLASS201020×10201181.784.56
CLASS/cl_02_020_07CLASS201020×10201158.898.36
CLASS/cl_02_020_08CLASS201020×10201156.338.29
CLASS/cl_02_020_09CLASS201020×10201168.337.28
CLASS/cl_02_020_10CLASS201020×10201173.786.94
CLASS/cl_02_040_01CLASS401020×102012+149.7220.98
CLASS/cl_02_040_02CLASS401020×10202259.4418.45
CLASS/cl_02_040_03CLASS401020×10202277.2213.63
CLASS/cl_02_040_04CLASS401020×10202269.2818.39
CLASS/cl_02_040_05CLASS401020×10202276.4411.72
CLASS/cl_02_040_06CLASS401020×10202258.9416.79
CLASS/cl_02_040_07CLASS401020×10202259.6716.32
CLASS/cl_02_040_08CLASS401020×10202280.7814.09
CLASS/cl_02_040_09CLASS401020×1020225619.51
CLASS/cl_02_040_10CLASS401020×1020225720.12
CLASS/cl_02_060_01CLASS601020×10203374.3328.33
CLASS/cl_02_060_02CLASS601020×102023+165.4130
CLASS/cl_02_060_03CLASS601020×10203367.329.32
CLASS/cl_02_060_04CLASS601020×10203367.5230.34
CLASS/cl_02_060_05CLASS601020×10202291.6115.38
CLASS/cl_02_060_06CLASS601020×10202292.1725.69
CLASS/cl_02_060_07CLASS601020×10202282.2220
CLASS/cl_02_060_08CLASS601020×10203369.7427.39
CLASS/cl_02_060_09CLASS601020×10202296.527.17
CLASS/cl_02_060_10CLASS601020×10203378.0722.72
CLASS/cl_02_080_01CLASS801020×10203384.2226.88
CLASS/cl_02_080_02CLASS801020×10203389.1527.56
CLASS/cl_02_080_03CLASS801020×10203385.1126.09
CLASS/cl_02_080_04CLASS801020×10203390.324.9
CLASS/cl_02_080_05CLASS801020×10203387.1126.33
CLASS/cl_02_080_06CLASS801020×10203393.3738.74
CLASS/cl_02_080_07CLASS801020×10203398.5236.5
CLASS/cl_02_080_08CLASS801020×10203397.9335.12
CLASS/cl_02_080_09CLASS801020×10204477.4235.06
CLASS/cl_02_080_10CLASS801020×10203389.8528.08
CLASS/cl_02_100_01CLASS1001020×10204475.9246.31
CLASS/cl_02_100_02CLASS1001020×10204484.4437.91
CLASS/cl_02_100_03CLASS1001020×102034+174.1147.32
CLASS/cl_02_100_04CLASS1001020×10204480.0336.11
CLASS/cl_02_100_05CLASS1001020×10204483.7534.85
CLASS/cl_02_100_06CLASS1001020×10204493.8333.74
CLASS/cl_02_100_07CLASS1001020×10204476.0345.32
CLASS/cl_02_100_08CLASS1001020×10204486.6936.84
CLASS/cl_02_100_09CLASS1001020×10204482.9438.86
CLASS/cl_02_100_10CLASS1001020×10204494.9239.09
CLASS/cl_03_020_01CLASS201000×100056+171.576.48
CLASS/cl_03_020_02CLASS201000×100034+165.146.35
CLASS/cl_03_020_03CLASS201000×100056+173.495.17
CLASS/cl_03_020_04CLASS201000×10004477.563.39
CLASS/cl_03_020_05CLASS201000×100045+1697.62
CLASS/cl_03_020_06CLASS201000×100067+167.98.58
CLASS/cl_03_020_07CLASS201000×100045+168.098.69
CLASS/cl_03_020_08CLASS201000×10004480.613.76
CLASS/cl_03_020_09CLASS201000×100056+170.17.23
CLASS/cl_03_020_10CLASS201000×10007766.057.29
CLASS/cl_03_040_01CLASS401000×100067+180.0113.92
CLASS/cl_03_040_02CLASS401000×100089+179.1710.84
CLASS/cl_03_040_03CLASS401000×1000111182.5512.91
CLASS/cl_03_040_04CLASS401000×1000101082.3510.25
CLASS/cl_03_040_05CLASS401000×1000121278.6617.34
CLASS/cl_03_040_06CLASS401000×1000101069.7312.43
CLASS/cl_03_040_07CLASS401000×100089+180.714.89
CLASS/cl_03_040_08CLASS401000×10001314+170.9913.62
CLASS/cl_03_040_09CLASS401000×100078+183.6712.84
CLASS/cl_03_040_10CLASS401000×100079+274.7614.18
CLASS/cl_03_060_01CLASS601000×10001617+179.2925.75
CLASS/cl_03_060_02CLASS601000×10001214+281.3425.16
CLASS/cl_03_060_03CLASS601000×10001315+281.9324.44
CLASS/cl_03_060_04CLASS601000×10001416+276.8121
CLASS/cl_03_060_05CLASS601000×10001113+283.6924.03
CLASS/cl_03_060_06CLASS601000×10001213+185.1120.5
CLASS/cl_03_060_07CLASS601000×10001112+183.0126.61
CLASS/cl_03_060_08CLASS601000×1000151585.2223.83
CLASS/cl_03_060_09CLASS601000×10001314+182.6424.61
CLASS/cl_03_060_10CLASS601000×10001718+180.8830.46
CLASS/cl_03_080_01CLASS801000×10001718+184.2335.53
CLASS/cl_03_080_02CLASS801000×10001819+183.738.77
CLASS/cl_03_080_03CLASS801000×10001719+281.6832.44
CLASS/cl_03_080_04CLASS801000×10001819+185.9538.77
CLASS/cl_03_080_05CLASS801000×10001618+286.6638.81
CLASS/cl_03_080_06CLASS801000×10002021+181.7436.88
CLASS/cl_03_080_07CLASS801000×10002021+186.4241.99
CLASS/cl_03_080_08CLASS801000×100022228236.07
CLASS/cl_03_080_09CLASS801000×10002123+280.8642.56
CLASS/cl_03_080_10CLASS801000×10001820+281.0738.16
CLASS/cl_03_100_01CLASS1001000×10001920+189.7644.22
CLASS/cl_03_100_02CLASS1001000×10002223+190.3356.03
CLASS/cl_03_100_03CLASS1001000×10001820+288.252.97
CLASS/cl_03_100_04CLASS1001000×10002022+286.7252.01
CLASS/cl_03_100_05CLASS1001000×10002224+284.1859.79
CLASS/cl_03_100_06CLASS1001000×10002627+185.0955.79
CLASS/cl_03_100_07CLASS1001000×10002021+187.6351.69
CLASS/cl_03_100_08CLASS1001000×10002324+187.0452.84
CLASS/cl_03_100_09CLASS1001000×10002123+285.664.27
CLASS/cl_03_100_10CLASS1001000×10002930+177.4855.58
CLASS/cl_04_020_01CLASS201000×10001168.718.06
CLASS/cl_04_020_02CLASS201000×10001141.699.41
CLASS/cl_04_020_03CLASS201000×10001170.556.23
CLASS/cl_04_020_04CLASS201000×10001149.649.82
CLASS/cl_04_020_05CLASS201000×10001155.28.52
CLASS/cl_04_020_06CLASS201000×10001176.056.87
CLASS/cl_04_020_07CLASS201000×10001154.478.55
CLASS/cl_04_020_08CLASS201000×10001151.599.62
CLASS/cl_04_020_09CLASS201000×10001167.37.84
CLASS/cl_04_020_10CLASS201000×10001173.986.01
CLASS/cl_04_040_01CLASS401000×10001189.6823.94
CLASS/cl_04_040_02CLASS401000×1000225720.45
CLASS/cl_04_040_03CLASS401000×10002272.6418.08
CLASS/cl_04_040_04CLASS401000×10002265.8818.43
CLASS/cl_04_040_05CLASS401000×10002275.5116.86
CLASS/cl_04_040_06CLASS401000×10002255.7817.08
CLASS/cl_04_040_07CLASS401000×10002258.121.85
CLASS/cl_04_040_08CLASS401000×10002279.5113.79
CLASS/cl_04_040_09CLASS401000×10002253.5520.45
CLASS/cl_04_040_10CLASS401000×10002253.8323.66
CLASS/cl_04_060_01CLASS601000×10003371.8927.23
CLASS/cl_04_060_02CLASS601000×10002291.126.98
CLASS/cl_04_060_03CLASS601000×100023+165.5531.43
CLASS/cl_04_060_04CLASS601000×100023+165.5432.1
CLASS/cl_04_060_05CLASS601000×10002287.0325.09
CLASS/cl_04_060_06CLASS601000×10002288.5226.21
CLASS/cl_04_060_07CLASS601000×10002279.6827.66
CLASS/cl_04_060_08CLASS601000×10003368.1828.24
CLASS/cl_04_060_09CLASS601000×10002292.5530.54
CLASS/cl_04_060_10CLASS601000×10003377.6525.23
CLASS/cl_04_080_01CLASS801000×10003380.8635.47
CLASS/cl_04_080_02CLASS801000×10003384.8234.84
CLASS/cl_04_080_03CLASS801000×10003382.7735.16
CLASS/cl_04_080_04CLASS801000×10003387.0932.84
CLASS/cl_04_080_05CLASS801000×10003383.1936.69
CLASS/cl_04_080_06CLASS801000×10003391.5537.72
CLASS/cl_04_080_07CLASS801000×100034+172.5944.26
CLASS/cl_04_080_08CLASS801000×100034+172.1647.62
CLASS/cl_04_080_09CLASS801000×100034+174.3936.31
CLASS/cl_04_080_10CLASS801000×10003386.4831.45
CLASS/cl_04_100_01CLASS1001000×100034+171.8157.1
CLASS/cl_04_100_02CLASS1001000×10004483.149.72
CLASS/cl_04_100_03CLASS1001000×10003394.0849.28
CLASS/cl_04_100_04CLASS1001000×10004476.3152.56
CLASS/cl_04_100_05CLASS1001000×10004480.8247
CLASS/cl_04_100_06CLASS1001000×10004491.934.17
CLASS/cl_04_100_07CLASS1001000×100034+173.6156.27
CLASS/cl_04_100_08CLASS1001000×10004483.5646.1
CLASS/cl_04_100_09CLASS1001000×10004478.7552.47
CLASS/cl_04_100_10CLASS1001000×10004492.9753.37
CLASS/cl_05_020_01CLASS201000×100078+167.148.28
CLASS/cl_05_020_02CLASS201000×100045+164.738.93
CLASS/cl_05_020_03CLASS201000×10007778.914.89
CLASS/cl_05_020_04CLASS201000×10005577.784.29
CLASS/cl_05_020_05CLASS201000×100056+172.687.9
CLASS/cl_05_020_06CLASS201000×100089+166.8810.2
CLASS/cl_05_020_07CLASS201000×100056+171.097.23
CLASS/cl_05_020_08CLASS201000×10005580.937.2
CLASS/cl_05_020_09CLASS201000×10007775.386.2
CLASS/cl_05_020_10CLASS201000×100078+173.029.76
CLASS/cl_05_040_01CLASS401000×100089+177.2415.04
CLASS/cl_05_040_02CLASS401000×10001011+181.0314.13
CLASS/cl_05_040_03CLASS401000×1000151576.9118.46
CLASS/cl_05_040_04CLASS401000×10001213+180.2220.7
CLASS/cl_05_040_05CLASS401000×10001315+279.3417.86
CLASS/cl_05_040_06CLASS401000×1000121273.1412.04
CLASS/cl_05_040_07CLASS401000×10001011+182.413.62
CLASS/cl_05_040_08CLASS401000×1000171773.5414.19
CLASS/cl_05_040_09CLASS401000×1000910+183.9814.93
CLASS/cl_05_040_10CLASS401000×10001011+176.8416.6
CLASS/cl_05_060_01CLASS601000×10001921+281.2724.76
CLASS/cl_05_060_02CLASS601000×10001618+280.1230.37
CLASS/cl_05_060_03CLASS601000×10001820+277.3431.61
CLASS/cl_05_060_04CLASS601000×1000202077.4628
CLASS/cl_05_060_05CLASS601000×10001516+185.4131.02
CLASS/cl_05_060_06CLASS601000×10001517+281.5627.1
CLASS/cl_05_060_07CLASS601000×10001415+183.0631.52
CLASS/cl_05_060_08CLASS601000×1000191984.7830.86
CLASS/cl_05_060_09CLASS601000×10001617+185.3832.27
CLASS/cl_05_060_10CLASS601000×10002324+176.4929.53
CLASS/cl_05_080_01CLASS801000×10002224+279.2737.27
CLASS/cl_05_080_02CLASS801000×10002224+283.6643.15
CLASS/cl_05_080_03CLASS801000×10002425+178.0843.26
CLASS/cl_05_080_04CLASS801000×10002425+181.839.72
CLASS/cl_05_080_05CLASS801000×10002224+281.7637.58
CLASS/cl_05_080_06CLASS801000×10002526+182.9746.66
CLASS/cl_05_080_07CLASS801000×10002728+181.2745.66
CLASS/cl_05_080_08CLASS801000×10002627+184.753.7
CLASS/cl_05_080_09CLASS801000×10002628+283.7743.29
CLASS/cl_05_080_10CLASS801000×10002224+284.8845
CLASS/cl_05_100_01CLASS1001000×10002326+386.862.24
CLASS/cl_05_100_02CLASS1001000×10002830+287.2672.72
CLASS/cl_05_100_03CLASS1001000×10002326+385.4165.61
CLASS/cl_05_100_04CLASS1001000×10002628+285.7257.85
CLASS/cl_05_100_05CLASS1001000×10002730+384.7464.41
CLASS/cl_05_100_06CLASS1001000×10003335+282.8568.83
CLASS/cl_05_100_07CLASS1001000×10002427+385.6161.84
CLASS/cl_05_100_08CLASS1001000×10002931+284.868.72
CLASS/cl_05_100_09CLASS1001000×10002729+285.960.19
CLASS/cl_05_100_10CLASS1001000×10003536+181.2667.84
CLASS/cl_06_020_01CLASS201200×12001159.689.38
CLASS/cl_06_020_02CLASS201200×12001135.969.17
CLASS/cl_06_020_03CLASS201200×12001161.378.35
CLASS/cl_06_020_04CLASS201200×12001143.219.71
CLASS/cl_06_020_05CLASS201200×12001148.4510.37
CLASS/cl_06_020_06CLASS201200×12001166.886.02
CLASS/cl_06_020_07CLASS201200×12001147.49.67
CLASS/cl_06_020_08CLASS201200×12001144.969.67
CLASS/cl_06_020_09CLASS201200×12001158.639.44
CLASS/cl_06_020_10CLASS201200×12001164.98.44
CLASS/cl_06_040_01CLASS401200×12001177.2416.02
CLASS/cl_06_040_02CLASS401200×120012+149.5222.73
CLASS/cl_06_040_03CLASS401200×12002264.119.12
CLASS/cl_06_040_04CLASS401200×12002257.9324.41
CLASS/cl_06_040_05CLASS401200×12002266.1217.83
CLASS/cl_06_040_06CLASS401200×120012+148.7622.31
CLASS/cl_06_040_07CLASS401200×12002250.3522.49
CLASS/cl_06_040_08CLASS401200×12002269.4516.84
CLASS/cl_06_040_09CLASS401200×120012+146.6619.81
CLASS/cl_06_040_10CLASS401200×120012+146.9628.71
CLASS/cl_06_060_01CLASS601200×120023+163.2139.24
CLASS/cl_06_060_02CLASS601200×12002280.1228.41
CLASS/cl_06_060_03CLASS601200×12002285.9332.26
CLASS/cl_06_060_04CLASS601200×12002286.0726.31
CLASS/cl_06_060_05CLASS601200×12002275.9230.93
CLASS/cl_06_060_06CLASS601200×12002277.0327.52
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CLASS-R/rcl_08_040_08CLASS-R401000×10001213+174.3821.26
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CLASS-R/rcl_08_060_09CLASS-R601000×1000151586.6329.68
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CLASS-R/rcl_08_080_07CLASS-R801000×1000191985.753.18
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CLASS-R/rcl_08_080_09CLASS-R801000×10002526+180.0546.58
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CLASS-R/rcl_09_020_04CLASS-R201000×1000121264.8110.29
CLASS-R/rcl_09_020_05CLASS-R201000×1000161670.418.79
CLASS-R/rcl_09_020_06CLASS-R201000×10001213+161.848.09
CLASS-R/rcl_09_020_07CLASS-R201000×1000101074.229.53
CLASS-R/rcl_09_020_08CLASS-R201000×1000151560.058.35
CLASS-R/rcl_09_020_09CLASS-R201000×1000161667.0910.77
CLASS-R/rcl_09_020_10CLASS-R201000×1000151562.049.25
CLASS-R/rcl_09_040_01CLASS-R401000×1000292967.9926.61
CLASS-R/rcl_09_040_02CLASS-R401000×10003435+158.8126.6
CLASS-R/rcl_09_040_03CLASS-R401000×1000242473.3619.28
CLASS-R/rcl_09_040_04CLASS-R401000×1000303058.1627.14
CLASS-R/rcl_09_040_05CLASS-R401000×1000272768.1126.56
CLASS-R/rcl_09_040_06CLASS-R401000×10003132+157.6629.46
CLASS-R/rcl_09_040_07CLASS-R401000×10002627+166.5921.61
CLASS-R/rcl_09_040_08CLASS-R401000×10002526+167.820.79
CLASS-R/rcl_09_040_09CLASS-R401000×1000212167.3320.24
CLASS-R/rcl_09_040_10CLASS-R401000×1000272767.5821.04
CLASS-R/rcl_09_060_01CLASS-R601000×1000484863.9851.85
CLASS-R/rcl_09_060_02CLASS-R601000×1000474760.741.33
CLASS-R/rcl_09_060_03CLASS-R601000×1000434363.4648.85
CLASS-R/rcl_09_060_04CLASS-R601000×1000454557.346.84
CLASS-R/rcl_09_060_05CLASS-R601000×1000424266.5142.76
CLASS-R/rcl_09_060_06CLASS-R601000×1000414162.8843.25
CLASS-R/rcl_09_060_07CLASS-R601000×1000454563.8135.46
CLASS-R/rcl_09_060_08CLASS-R601000×1000363662.8339.24
CLASS-R/rcl_09_060_09CLASS-R601000×1000373766.0642.62
CLASS-R/rcl_09_060_10CLASS-R601000×1000464659.4251.21
CLASS-R/rcl_09_080_01CLASS-R801000×1000565664.0864.06
CLASS-R/rcl_09_080_02CLASS-R801000×1000585862.3782.98
CLASS-R/rcl_09_080_03CLASS-R801000×10005758+165.0872.67
CLASS-R/rcl_09_080_04CLASS-R801000×1000616162.8971.54
CLASS-R/rcl_09_080_05CLASS-R801000×1000555559.4169.65
CLASS-R/rcl_09_080_06CLASS-R801000×100052526567.08
CLASS-R/rcl_09_080_07CLASS-R801000×10004647+166.5370.81
CLASS-R/rcl_09_080_08CLASS-R801000×10005556+162.8767.6
CLASS-R/rcl_09_080_09CLASS-R801000×1000515165.5572.84
CLASS-R/rcl_09_080_10CLASS-R801000×1000555564.5557.63
CLASS-R/rcl_09_100_01CLASS-R1001000×1000727263.16103.02
CLASS-R/rcl_09_100_02CLASS-R1001000×1000626265.0386.7
CLASS-R/rcl_09_100_03CLASS-R1001000×1000737366.51107.25
CLASS-R/rcl_09_100_04CLASS-R1001000×1000646464.796.05
CLASS-R/rcl_09_100_05CLASS-R1001000×1000696960.12110.26
CLASS-R/rcl_09_100_06CLASS-R1001000×1000656564.55102.37
CLASS-R/rcl_09_100_07CLASS-R1001000×1000767663.2594.15
CLASS-R/rcl_09_100_08CLASS-R1001000×10006869+162.24108.1
CLASS-R/rcl_09_100_09CLASS-R1001000×1000808060.35123.89
CLASS-R/rcl_09_100_10CLASS-R1001000×10007677+162.55103.18
CLASS-R/rcl_10_020_01CLASS-R201000×10004482.236.87
CLASS-R/rcl_10_020_02CLASS-R201000×10003377.695.49
CLASS-R/rcl_10_020_03CLASS-R201000×100056+174.298.8
CLASS-R/rcl_10_020_04CLASS-R201000×10004486.987.03
CLASS-R/rcl_10_020_05CLASS-R201000×10004475.266.45
CLASS-R/rcl_10_020_06CLASS-R201000×100034+165.46.77
CLASS-R/rcl_10_020_07CLASS-R201000×100056+163.719.9
CLASS-R/rcl_10_020_08CLASS-R201000×10003389.197.43
CLASS-R/rcl_10_020_09CLASS-R201000×10002283.387.67
CLASS-R/rcl_10_020_10CLASS-R201000×10003379.436.59
CLASS-R/rcl_10_040_01CLASS-R401000×10006688.5916.7
CLASS-R/rcl_10_040_02CLASS-R401000×100056+169.7417.51
CLASS-R/rcl_10_040_03CLASS-R401000×100056+181.7713.95
CLASS-R/rcl_10_040_04CLASS-R401000×100067+179.9216.76
CLASS-R/rcl_10_040_05CLASS-R401000×10006686.5815.09
CLASS-R/rcl_10_040_06CLASS-R401000×10005584.6419.31
CLASS-R/rcl_10_040_07CLASS-R401000×10007786.7717.17
CLASS-R/rcl_10_040_08CLASS-R401000×1000910+178.816.02
CLASS-R/rcl_10_040_09CLASS-R401000×10007785.1711.25
CLASS-R/rcl_10_040_10CLASS-R401000×100067+182.616.81
CLASS-R/rcl_10_060_01CLASS-R601000×1000101089.0724.99
CLASS-R/rcl_10_060_02CLASS-R601000×10001011+189.225.45
CLASS-R/rcl_10_060_03CLASS-R601000×1000910+183.8624.85
CLASS-R/rcl_10_060_04CLASS-R601000×100089+182.0624.38
CLASS-R/rcl_10_060_05CLASS-R601000×100078+180.2526.42
CLASS-R/rcl_10_060_06CLASS-R601000×10001112+189.1831.78
CLASS-R/rcl_10_060_07CLASS-R601000×10001011+184.0631.21
CLASS-R/rcl_10_060_08CLASS-R601000×1000161678.7632.21
CLASS-R/rcl_10_060_09CLASS-R601000×100067+183.1225.15
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CLASS-R/rcl_10_080_01CLASS-R801000×1000910+186.9729.42
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CLASS-R/rcl_10_080_05CLASS-R801000×10001112+185.8838.98
CLASS-R/rcl_10_080_06CLASS-R801000×10001516+183.7236.9
CLASS-R/rcl_10_080_07CLASS-R801000×10001213+185.4837.54
CLASS-R/rcl_10_080_08CLASS-R801000×10001112+185.0340.2
CLASS-R/rcl_10_080_09CLASS-R801000×10001516+188.6839.67
CLASS-R/rcl_10_080_10CLASS-R801000×10001112+185.5439
CLASS-R/rcl_10_100_01CLASS-R1001000×10002021+185.8958.35
CLASS-R/rcl_10_100_02CLASS-R1001000×10001617+190.7357.87
CLASS-R/rcl_10_100_03CLASS-R1001000×10001415+187.2354.59
CLASS-R/rcl_10_100_04CLASS-R1001000×10001415+191.4852.8
CLASS-R/rcl_10_100_05CLASS-R1001000×10001820+285.8164.95
CLASS-R/rcl_10_100_06CLASS-R1001000×10001719+285.0560.12
CLASS-R/rcl_10_100_07CLASS-R1001000×10001617+191.2954.94
CLASS-R/rcl_10_100_08CLASS-R1001000×10001415+186.755.61
CLASS-R/rcl_10_100_09CLASS-R1001000×10001314+192.5949.49
CLASS-R/rcl_10_100_10CLASS-R1001000×10001415+190.9257.59
PERFECT2D/p_100x100_k2_n8_1PERFECT2D161000×1000221003.8
PERFECT2D/p_100x100_k2_n8_2PERFECT2D161000×100023+166.674.4
PERFECT2D/p_100x100_k2_n16_1PERFECT2D321000×100023+166.6711.05
PERFECT2D/p_100x100_k2_n16_2PERFECT2D321000×100023+166.6712.75
PERFECT2D/p_100x100_k2_n30_1PERFECT2D601000×100023+166.6726.25
PERFECT2D/p_100x100_k2_n30_2PERFECT2D601000×100023+166.6728.59
PERFECT2D/p_100x100_k3_n8_1PERFECT2D241000×100034+1756.56
PERFECT2D/p_100x100_k3_n8_2PERFECT2D241000×100034+1757.41
PERFECT2D/p_100x100_k3_n16_1PERFECT2D481000×100034+17516.58
PERFECT2D/p_100x100_k3_n16_2PERFECT2D481000×100034+17517.28
PERFECT2D/p_100x100_k3_n30_1PERFECT2D901000×100034+17544.03
PERFECT2D/p_100x100_k3_n30_2PERFECT2D901000×100034+17550.94
PERFECT2D/p_100x100_k5_n8_1PERFECT2D401000×100056+183.3310.77
PERFECT2D/p_100x100_k5_n8_2PERFECT2D401000×100056+183.3311.69
PERFECT2D/p_100x100_k5_n16_1PERFECT2D801000×100056+183.3331.95
PERFECT2D/p_100x100_k5_n16_2PERFECT2D801000×100056+183.3340.47
PERFECT2D/p_100x100_k5_n30_1PERFECT2D1501000×100056+183.3381.51
PERFECT2D/p_100x100_k5_n30_2PERFECT2D1501000×100056+183.3383.66
PERFECT2D/p_120x80_k2_n8_1PERFECT2D161560×104023+166.673.61
PERFECT2D/p_120x80_k2_n8_2PERFECT2D161560×104023+166.674.88
PERFECT2D/p_120x80_k2_n16_1PERFECT2D321560×104023+166.6712.55
PERFECT2D/p_120x80_k2_n16_2PERFECT2D321560×104023+166.6711.31
PERFECT2D/p_120x80_k2_n30_1PERFECT2D601560×104023+166.6728.79
PERFECT2D/p_120x80_k2_n30_2PERFECT2D601560×104023+166.6728.06
PERFECT2D/p_120x80_k3_n8_1PERFECT2D241560×104034+1757.43
PERFECT2D/p_120x80_k3_n8_2PERFECT2D241560×104034+1759.02
PERFECT2D/p_120x80_k3_n16_1PERFECT2D481560×104034+17514.88
PERFECT2D/p_120x80_k3_n16_2PERFECT2D481560×104034+17516.36
PERFECT2D/p_120x80_k3_n30_1PERFECT2D901560×104034+17548.19
PERFECT2D/p_120x80_k3_n30_2PERFECT2D901560×104034+17542.48
PERFECT2D/p_120x80_k5_n8_1PERFECT2D401560×104056+183.338.61
PERFECT2D/p_120x80_k5_n8_2PERFECT2D401560×104056+183.3311.24
PERFECT2D/p_120x80_k5_n16_1PERFECT2D801560×104056+183.3333.04
PERFECT2D/p_120x80_k5_n16_2PERFECT2D801560×104056+183.3332.04
PERFECT2D/p_120x80_k5_n30_1PERFECT2D1501560×104056+183.3388
PERFECT2D/p_120x80_k5_n30_2PERFECT2D1501560×104056+183.3386.98
PERFECT2D/p_250x150_k2_n8_1PERFECT2D161750×105023+166.675.5
PERFECT2D/p_250x150_k2_n8_2PERFECT2D161750×105023+166.674.99
PERFECT2D/p_250x150_k2_n16_1PERFECT2D321750×105023+166.6712.54
PERFECT2D/p_250x150_k2_n16_2PERFECT2D321750×105023+166.6710.63
PERFECT2D/p_250x150_k2_n30_1PERFECT2D601750×105023+166.6729.92
PERFECT2D/p_250x150_k2_n30_2PERFECT2D601750×105023+166.6730.07
PERFECT2D/p_250x150_k3_n8_1PERFECT2D241750×105034+1756.47
PERFECT2D/p_250x150_k3_n8_2PERFECT2D241750×105034+1756.98
PERFECT2D/p_250x150_k3_n16_1PERFECT2D481750×105034+17520.5
PERFECT2D/p_250x150_k3_n16_2PERFECT2D481750×105034+17519.23
PERFECT2D/p_250x150_k3_n30_1PERFECT2D901750×105034+17543.53
PERFECT2D/p_250x150_k3_n30_2PERFECT2D901750×105034+17549.68
PERFECT2D/p_250x150_k5_n8_1PERFECT2D401750×105057+271.4314.81
PERFECT2D/p_250x150_k5_n8_2PERFECT2D401750×105056+183.338.86
PERFECT2D/p_250x150_k5_n16_1PERFECT2D801750×105056+183.3333.97
PERFECT2D/p_250x150_k5_n16_2PERFECT2D801750×105056+183.3334.59
PERFECT2D/p_250x150_k5_n30_1PERFECT2D1501750×105056+183.3395.87
PERFECT2D/p_250x150_k5_n30_2PERFECT2D1501750×105056+183.3390.32
PERFECT2D/p_300x300_k2_n8_1PERFECT2D161200×1200221004.19
PERFECT2D/p_300x300_k2_n8_2PERFECT2D161200×120023+166.673.41
PERFECT2D/p_300x300_k2_n16_1PERFECT2D321200×120023+166.6711.62
PERFECT2D/p_300x300_k2_n16_2PERFECT2D321200×120023+166.6711.9
PERFECT2D/p_300x300_k2_n30_1PERFECT2D601200×120023+166.6729.61
PERFECT2D/p_300x300_k2_n30_2PERFECT2D601200×120023+166.6731.47
PERFECT2D/p_300x300_k3_n8_1PERFECT2D241200×120034+1756.85
PERFECT2D/p_300x300_k3_n8_2PERFECT2D241200×120034+1756.11
PERFECT2D/p_300x300_k3_n16_1PERFECT2D481200×120034+17518.53
PERFECT2D/p_300x300_k3_n16_2PERFECT2D481200×120034+17518.3
PERFECT2D/p_300x300_k3_n30_1PERFECT2D901200×120034+17546.08
PERFECT2D/p_300x300_k3_n30_2PERFECT2D901200×120034+17549.58
PERFECT2D/p_300x300_k5_n8_1PERFECT2D401200×120056+183.3311.55
PERFECT2D/p_300x300_k5_n8_2PERFECT2D401200×120056+183.3313.62
PERFECT2D/p_300x300_k5_n16_1PERFECT2D801200×120056+183.3331.67
PERFECT2D/p_300x300_k5_n16_2PERFECT2D801200×120056+183.3329.66
PERFECT2D/p_300x300_k5_n30_1PERFECT2D1501200×120056+183.3394.05
PERFECT2D/p_300x300_k5_n30_2PERFECT2D1501200×120056+183.3396.34
UNIF1D/u120_01UNIF1D1201050474798.757.75
UNIF1D/u120_02UNIF1D12010504849+197.655.49
UNIF1D/u120_03UNIF1D12010504849+196.754.99
UNIF1D/u120_04UNIF1D1201050525298.1711.44
UNIF1D/u120_05UNIF1D1201050515198.074.13
UNIF1D/u120_06UNIF1D12010505052+295.914.52
UNIF1D/u120_07UNIF1D12010505152+198.054.68
UNIF1D/u120_08UNIF1D12010504950+197.434.14
UNIF1D/u120_09UNIF1D12010505152+196.824.76
UNIF1D/u120_10UNIF1D1201050454598.434.42
UNIF1D/u250_01UNIF1D250105099101+297.919.47
UNIF1D/u250_02UNIF1D2501050102104+297.5318.79
UNIF1D/u250_03UNIF1D2501050959599.1619.77
UNIF1D/u250_04UNIF1D2501050102103+198.5222.85
UNIF1D/u250_05UNIF1D2501050104106+298.0919.32
UNIF1D/u250_06UNIF1D2501050101103+297.6119.05
UNIF1D/u250_07UNIF1D250105010010099.2516.68
UNIF1D/u250_08UNIF1D2501050105106+198.4118.45
UNIF1D/u250_09UNIF1D2501050102103+198.4321.17
UNIF1D/u250_10UNIF1D250105098100+297.6118.34
UNIF1D/u500_01UNIF1D5001050199200+199.4479.63
UNIF1D/u500_02UNIF1D500105019619699.9480.92
UNIF1D/u500_03UNIF1D5001050204206+298.6379.14
UNIF1D/u500_04UNIF1D5001050196198+298.9579.26
UNIF1D/u500_05UNIF1D500105019919999.6778.27
UNIF1D/u500_06UNIF1D500105020420499.7279.14
UNIF1D/u500_07UNIF1D5001050202205+398.5378.48
UNIF1D/u500_08UNIF1D5001050200202+298.5979
UNIF1D/u500_09UNIF1D500105020020099.7474
UNIF1D/u500_10UNIF1D500105019719799.776.38
UNIF1D/u1000_01UNIF1D1000105040340399.96292.33
UNIF1D/u1000_02UNIF1D10001050398399+199.52309.11
UNIF1D/u1000_03UNIF1D1000105040140199.95303.68
UNIF1D/u1000_04UNIF1D10001050392393+199.66280.55
UNIF1D/u1000_05UNIF1D10001050399400+199.73280.16
UNIF1D/u1000_06UNIF1D10001050403404+199.63278.34
UNIF1D/u1000_07UNIF1D10001050409410+199.65295.87
UNIF1D/u1000_08UNIF1D1000105039839899.85277.36
UNIF1D/u1000_09UNIF1D1000105039939999.98279.3
UNIF1D/u1000_10UNIF1D10001050403405+299.42271.44
TRIPLET1D/t60_01TRIPLET1D6010002021+195.247.12
TRIPLET1D/t60_02TRIPLET1D6010002021+195.240.87
TRIPLET1D/t60_03TRIPLET1D6010002021+195.240.89
TRIPLET1D/t60_04TRIPLET1D6010002021+195.240.84
TRIPLET1D/t60_05TRIPLET1D6010002021+195.241.14
TRIPLET1D/t60_06TRIPLET1D6010002021+195.240.92
TRIPLET1D/t60_07TRIPLET1D6010002021+195.240.82
TRIPLET1D/t60_08TRIPLET1D6010002021+195.240.82
TRIPLET1D/t60_09TRIPLET1D6010002021+195.240.82
TRIPLET1D/t60_10TRIPLET1D6010002021+195.240.82
TRIPLET1D/t120_01TRIPLET1D12010004041+197.562.92
TRIPLET1D/t120_02TRIPLET1D12010004041+197.563.01
TRIPLET1D/t120_03TRIPLET1D12010004041+197.562.96
TRIPLET1D/t120_04TRIPLET1D12010004041+197.563.32
TRIPLET1D/t120_05TRIPLET1D12010004041+197.563.23
TRIPLET1D/t120_06TRIPLET1D12010004041+197.562.88
TRIPLET1D/t120_07TRIPLET1D12010004041+197.563
TRIPLET1D/t120_08TRIPLET1D12010004041+197.562.9
TRIPLET1D/t120_09TRIPLET1D12010004041+197.563.34
TRIPLET1D/t120_10TRIPLET1D12010004041+197.562.91
TRIPLET1D/t249_01TRIPLET1D24910008386+396.5116.84
TRIPLET1D/t249_02TRIPLET1D24910008384+198.8111.79
TRIPLET1D/t249_03TRIPLET1D24910008385+297.6512.07
TRIPLET1D/t249_04TRIPLET1D24910008386+396.5118.21
TRIPLET1D/t249_05TRIPLET1D24910008385+297.6512.73
TRIPLET1D/t249_06TRIPLET1D24910008385+297.6512.29
TRIPLET1D/t249_07TRIPLET1D24910008385+297.6512.18
TRIPLET1D/t249_08TRIPLET1D24910008385+297.6512.11
TRIPLET1D/t249_09TRIPLET1D24910008385+297.6512.01
TRIPLET1D/t249_10TRIPLET1D24910008385+297.6511.76
TRIPLET1D/t501_01TRIPLET1D5011000167171+497.6653.07
TRIPLET1D/t501_02TRIPLET1D5011000167171+497.6646.74
TRIPLET1D/t501_03TRIPLET1D5011000167171+497.6646.6
TRIPLET1D/t501_04TRIPLET1D5011000167171+497.6651.66
TRIPLET1D/t501_05TRIPLET1D5011000167171+497.6655.78
TRIPLET1D/t501_06TRIPLET1D5011000167170+398.2455.08
TRIPLET1D/t501_07TRIPLET1D5011000167171+497.6652.44
TRIPLET1D/t501_08TRIPLET1D5011000167171+497.6646.9
TRIPLET1D/t501_09TRIPLET1D5011000167171+497.6646.52
TRIPLET1D/t501_10TRIPLET1D5011000167171+497.6654.43
RAND1D/r_50_100_0.1_0.7_1RAND1D5010002122+194.593.18
RAND1D/r_50_100_0.1_0.7_2RAND1D501000212196.571.62
RAND1D/r_50_100_0.1_0.7_3RAND1D5010002020971.49
RAND1D/r_50_100_0.2_0.8_1RAND1D501000282890.611.49
RAND1D/r_50_100_0.2_0.8_2RAND1D5010002626931.39
RAND1D/r_50_100_0.2_0.8_3RAND1D5010002324+194.631.4
RAND1D/r_50_150_0.1_0.7_1RAND1D501050202095.831.53
RAND1D/r_50_150_0.1_0.7_2RAND1D501050202095.631.39
RAND1D/r_50_150_0.1_0.7_3RAND1D5010502223+194.71.5
RAND1D/r_50_150_0.2_0.8_1RAND1D501050313180.691.63
RAND1D/r_50_150_0.2_0.8_2RAND1D501050303085.185.51
RAND1D/r_50_150_0.2_0.8_3RAND1D501050252595.761.23
RAND1D/r_50_1000_0.1_0.7_1RAND1D5010002122+193.10.68
RAND1D/r_50_1000_0.1_0.7_2RAND1D5010002021+194.890.63
RAND1D/r_50_1000_0.1_0.7_3RAND1D501000212196.710.67
RAND1D/r_50_1000_0.2_0.8_1RAND1D501000292988.750.71
RAND1D/r_50_1000_0.2_0.8_2RAND1D501000303089.930.71
RAND1D/r_50_1000_0.2_0.8_3RAND1D501000282891.310.64
RAND1D/r_200_100_0.1_0.7_1RAND1D20010007879+197.759.76
RAND1D/r_200_100_0.1_0.7_2RAND1D20010007879+198.6211.04
RAND1D/r_200_100_0.1_0.7_3RAND1D2001000828298.9911.08
RAND1D/r_200_100_0.2_0.8_1RAND1D200100010110198.1914.01
RAND1D/r_200_100_0.2_0.8_2RAND1D200100011011092.949.21
RAND1D/r_200_100_0.2_0.8_3RAND1D200100010810894.889.27
RAND1D/r_200_150_0.1_0.7_1RAND1D2001050828298.8510.62
RAND1D/r_200_150_0.1_0.7_2RAND1D20010507778+198.3610.73
RAND1D/r_200_150_0.1_0.7_3RAND1D20010508081+198.219.84
RAND1D/r_200_150_0.2_0.8_1RAND1D200105010010097.079.6
RAND1D/r_200_150_0.2_0.8_2RAND1D2001050101102+196.9314.27
RAND1D/r_200_150_0.2_0.8_3RAND1D200105010010098.069.41
RAND1D/r_200_1000_0.1_0.7_1RAND1D20010008485+198.489.5
RAND1D/r_200_1000_0.1_0.7_2RAND1D20010007677+198.029.56
RAND1D/r_200_1000_0.1_0.7_3RAND1D20010008081+197.859.03
RAND1D/r_200_1000_0.2_0.8_1RAND1D20010009899+198.158.85
RAND1D/r_200_1000_0.2_0.8_2RAND1D200100010610695.248.67
RAND1D/r_200_1000_0.2_0.8_3RAND1D200100010810894.29.4
RAND1D/r_500_100_0.1_0.7_1RAND1D5001000196197+199.3264.83
RAND1D/r_500_100_0.1_0.7_2RAND1D500100020420499.969.21
RAND1D/r_500_100_0.1_0.7_3RAND1D500100020020099.6970.26
RAND1D/r_500_100_0.2_0.8_1RAND1D5001000263264+196.4362.33
RAND1D/r_500_100_0.2_0.8_2RAND1D5001000249250+198.5462.99
RAND1D/r_500_100_0.2_0.8_3RAND1D500100025625697.5364.82
RAND1D/r_500_150_0.1_0.7_1RAND1D500105020220299.8971.84
RAND1D/r_500_150_0.1_0.7_2RAND1D500105020420499.6573.46
RAND1D/r_500_150_0.1_0.7_3RAND1D500105019219299.7575.24
RAND1D/r_500_150_0.2_0.8_1RAND1D500105026126196.7264.54
RAND1D/r_500_150_0.2_0.8_2RAND1D500105025025098.8764.97
RAND1D/r_500_150_0.2_0.8_3RAND1D500105027027095.2663.52
RAND1D/r_500_1000_0.1_0.7_1RAND1D5001000194196+298.6659.23
RAND1D/r_500_1000_0.1_0.7_2RAND1D5001000198201+398.4462.32
RAND1D/r_500_1000_0.1_0.7_3RAND1D5001000199200+199.0957.15
RAND1D/r_500_1000_0.2_0.8_1RAND1D5001000260261+196.9264.69
RAND1D/r_500_1000_0.2_0.8_2RAND1D5001000261262+196.262.77
RAND1D/r_500_1000_0.2_0.8_3RAND1D5001000259262+396.3258.46

True-shape nesting

The numbers above are the guillotine packer, which cuts rectangles. True-shape nesting is a different engine for a different problem: it packs ARBITRARY POLYGONS — for laser, plasma and waterjet — letting parts interlock into each other’s concave pockets. On a representative 272-part job it uses 6 sheets, where the exact same parts fed to a rectangular packer by their bounding box need 9 — a third less material, from the shape alone.

6
sheets · true-shape
5
sheets · max engine, 60 s
9
sheets · bounding box
4
sheets · theoretical minimum

Why we report sheet count, not density

A bounding-box packer counts the notch-air inside each part’s rectangle as solid, so its “yield” reads higher for a worse result — the 9-sheet plan looks denser than the 6-sheet one. The only honest, cross-comparable metric is the number of sheets the same physical parts actually need. That is the number above.

The 6-sheet plan is the fast default engine, which answers in the same request. The asynchronous max engine (engine:"max") then keeps searching for fewer sheets: measured on our production server on September 22, 2026, it used 5 sheets across 4 runs with its default 60-second budget, and 5 across 2 runs with the 180-second maximum. It is time-boxed, so one run can end differently from another — we show the range over every run, not the best one. Each layout was checked independently: every part placed and on its sheet, no two parts overlapping by more than 0.01 mm — a margin for the rounded coordinates the API returns, since parts that touch can otherwise appear to cross by a few thousandths of a millimetre.

A theoretical lower bound on this job is 4 sheets — the total part area divided by one sheet. No plan can use fewer; with irregular shapes, air between the parts means a plan rarely reaches it.

Those figures have no gap between parts. With a 5 mm gap between parts and at the sheet edge, a common laser setting, the same job needs 6 sheets with the default engine and 5–6 with max (2 runs, 60 s each).

The classic ESICUP nesting sets

The job above is one we built. So that the engine can also be checked on problems we did not choose, we ran it on the 13 classic ESICUP nesting sets, the public irregular-packing instances the research literature uses. They are strip-packing problems; we turn them into sheet problems the way the bin-packing literature does, with three square sheet sizes per set, which gives 39 instances. Across all of them the default engine uses 248 sheets and the max engine 244 (the worse of 2 runs, 60 s each), against a lower bound of 153. The default reaches the bound on 7 instances and max on 11. Max needs fewer sheets than the default on 4 instances, in every run.

How it was measured, on our production server on September 22, 2026: each sheet is a square whose side is 1.1, 1.5 or 2 times the largest piece dimension (the convention of Martinez-Sykora et al., 2017); each set keeps its own allowed rotations; there is no gap between parts, as in the literature; max runs with its default 60-second budget and we report its worse run. The lower bound, the total part area divided by one sheet, is weak for irregular shapes, so a result above it is not necessarily beaten by anything. Every layout was checked outside the engine: 39 of 39 are valid, with every part placed on its sheet and no two parts overlapping beyond the rounding of the returned coordinates. The instances come from the jagua-rs repository at the revision our engine is built from (the ESICUP collection is CC0), and the script that measured them is in our repository.

All 39 instances
SetSheet side (× largest piece)PartsLower boundDefaultMax · 60 s
albano1.124466
albano1.524333
albano224222
blaz11.128112020
blaz11.52861414
blaz1228466
dagli1.130344
dagli1.530222
dagli230111
fu1.112599
fu1.512355
fu212232
jakobs11.125699
jakobs11.525344
jakobs1225233
jakobs21.125588
jakobs21.525344
jakobs2225232
mao1.120344
mao1.520232
mao220121
marques1.124466
marques1.524333
marques224222
shapes01.14371717
shapes01.54341010
shapes0243355
shapes11.14371515
shapes11.543488
shapes1243344
shirts1.199111616
shirts1.599699
shirts299455
swim1.14861212
swim1.548466
swim248233
trousers1.164566
trousers1.564344
trousers264222

Per-instance results (JSON)

True-shape nesting on the Engine API →

The max tier — closer to the proven optimum

The figures above are the default engine, which returns instantly. The optional async max engine (engine:"max") runs a tree search instead: on the same public 2DPackLib instances, judged by the same lower bound, it reaches the PROVEN minimum on 12–13 percentage points more jobs than the default, with a smaller gap on the ones that miss. The trade is time — see below.

CorpusEngineOn the boundAvg gap (off-bound)
A + BENG · 106default · heuristic44.3 %11.1 %
max · PackingSolver57.1 %6.9 %
CLASS (sample) · 168default · heuristic57.7 %12.8 %
max · PackingSolver69.6 %10.4 %

Why the max tier is asynchronous

The default engine solves in about 30 ms and runs in your browser. The max engine takes seconds to a minute per job — too long to hold an HTTP request open — so it is asynchronous: POST with engine:"max" returns a job id, and you poll until it finishes. Same public corpus, same lower-bound method, both our own engines — no competitor data.

One honest caveat: the max engine is time-boxed, so on the very hardest instances the search is cut off at the cap — a few jobs may not finish (1 of 274 here) and its figures can move by about a point between runs. The default engine is fully deterministic and always returns a plan.

The max tier on the Engine API →

Data

The complete measurement, not a summary of it.

  • results.jsonl — All results — every job, profile, engine and orientation
  • summary.json — Aggregates — the numbers on this page
  • table.json — This table as JSON
  • corpus.json — The generated input instances — the actual problems the runner solved. The canonical academic sets are fetched and hash-verified rather than copied here, because their source grants no redistribution.

To reproduce: clone the repository, run npm run bench:fetch to download the canonical instances and verify their hashes, then npm run bench. The generated corpus needs no download.

The files above are published under CC BY 4.0 — reuse them, commercially included, with credit to CutOptim. That covers our own measurement and the generated corpus. The canonical academic instances are not ours to license and are not distributed from here.

Run your own job

The only number that matters is the one your own material list produces.