in | out | A | A' | B | C | D | E | F | G | H | I | ord | deg | bytecount | meaning |
in-1.m | out-1.m | 0.71 | 7.45 | 1.41 | 16.11 | 6.56 | 5.88 | 4.98 | 6.66 | 4.47 | 392.61 | 3 | 11 | 3824 | aztec diamond edge gfun, [x^0 y^0] |
in-2.m | out-2.m | 5.90 | 11.03 | 7.89 | 51.75 | 11.06 | 10.90 | 9.30 | 10.93 | 6.36 | 957.27 | 4 | 13 | 4576 | aztec diamond edge gfun, [x^1 y^0] |
in-3.m | out-3.m | 1.16 | 34.96 | 7.30 | 61.89 | 12.21 | 12.48 | 11.42 | 22.64 | 15.54 | 990.96 | 4 | 15 | 5632 | aztec diamond edge gfun, [x^0 y^1] |
in-4.m | out-4.m | 5.96 | 11.87 | 7.82 | 52.97 | 11.38 | 11.15 | 9.09 | 12.47 | 6.79 | 652.16 | 4 | 13 | 4576 | aztec diamond edge gfun, [x^(-1) y^0] |
in-5.m | out-5.m | 0.73 | 6.32 | 1.66 | 21.57 | 6.19 | 5.63 | 4.79 | 12.58 | 6.44 | 457.73 | 3 | 10 | 3600 | aztec diamond edge gfun, [x^0 y^(-1)] |
in-6.m | out-6.m | 6.04 | 11.47 | 11.32 | 77.44 | 11.54 | 11.28 | 9.27 | 16.52 | 9.70 | 365.82 | 4 | 14 | 6104 | aztec diamond edge gfun, [x^(-1) y^(-1)] |
in-7.m | out-7.m | 6.04 | 32.20 | 11.24 | 52.98 | 11.90 | 11.59 | 11.49 | 29.96 | 18.55 | 583.24 | 4 | 14 | 5432 | aztec diamond edge gfun, [x^(-1) y^1] |
in-8.m | out-8.m | 5.98 | 11.06 | 11.54 | 60.53 | 11.11 | 11.04 | 9.39 | 14.96 | 8.37 | 596.67 | 4 | 14 | 6104 | aztec diamond edge gfun, [x^1 y^(-1)] |
in-9.m | out-9.m | 5.94 | 31.59 | 11.50 | 47.14 | 12.09 | 12.54 | 11.71 | 23.98 | 20.67 | 1309.75 | 4 | 14 | 5432 | aztec diamond edge gfun, [x^1 y^1] |
in-10.m | out-10.m | 34.02 | 495.75 | 23.72 | 465.36 | 69.87 | 87.31 | 60.35 | 63.51 | 87.62 | 8227.50 | 7 | 11 | 10368 | cores of a planar graph, [x^(2n)y^n] |
in-11.m | out-11.m | 2.89 | 147.87 | 2.33 | 32.67 | 1.63 | 1.68 | 1.76 | 1.31 | 1.22 | 2.57 | 4 | 6 | 4144 | cores of a planar graph, [x^n y^(2n)] |
in-12.m | out-12.m | 18.82 | 409.63 | 20.45 | 199.60 | 54.72 | 63.09 | 44.66 | 182.94 | 225.07 | 8441.65 | 6 | 9 | 7056 | cores of a planar graph, [x^(2n)y^(2n)] |
in-13.m | out-13.m | 314.34 | 2079.81 | 565.10 | 6022.78 | 6098.31 | 630.98 | 287.44 | 325.08 | 411.58 | >30h | 11 | 17 | 20928 | cores of a planar graph, [x^(3n)y^n] |
in-14.m | out-14.m | 1.82 | 55.74 | 1.57 | 16.63 | 17.88 | 1.57 | 1.84 | 0.94 | 0.94 | 2.32 | 3 | 4 | 2192 | cores of a planar graph, [x^n y^(3n)] |
in-15.m | out-15.m | 1385.74 | 5198.98 | 2434.02 | 44390.07 | 848.92 | 2491.66 | 1332.63 | 589.46 | 759.66 | >30h | 13 | 21 | 32392 | cores of a planar graph, [x^(4n)y^n] |
in-16.m | out-16.m | 252.61 | 2052.27 | 454.48 | 3623.02 | 337.07 | 414.81 | 298.00 | 774.64 | 1465.19 | >30h | 10 | 16 | 19768 | cores of a planar graph, [x^(2n) y^(3n)] |
in-17.m | out-17.m | 13.47 | 194.59 | 9.54 | 98.62 | 29.84 | 33.49 | 25.17 | 102.89 | 79.84 | 6620.72 | 5 | 8 | 5904 | cores of a planar graph, [x^(3n) y^(2n)] |
in-18.m | out-18.m | 3.12 | 1751.68 | 2.38 | 56.55 | 1.10 | 1.17 | 1.69 | 2.00 | 1.99 | 3.00 | 4 | 6 | 4144 | cores of a planar graph, [x^n y^(4n)] |
in-19.m | out-19.m | >30h | 2.17 | 4431.06 | 399.11 | 21.43 | 22.10 | 23.40 | 56.27 | 55.93 | 155.31 | 3 | 6 | 4216 | artificial example from the paper |
in-20.m | out-20.m | 19.79 | 19.98 | 9.50 | 104.79 | 6.93 | 8.77 | 6.85 | 11.42 | 8.71 | 1841.74 | 4 | 9 | 6144 | random groves, [x^n y^n] |
in-21.m | out-21.m | 10712.13 | 125.60 | 421.60 | 5062.14 | 37.60 | 52.26 | 33.18 | 45.41 | 43.41 | 2739.10 | 7 | 20 | 19480 | random groves, [x^(2n) y^n] |
in-22.m | out-22.m | 117.96 | 11099.43 | 87.98 | 6060.53 | 37.11 | 54.08 | 33.48 | 45.87 | 43.24 | 2756.84 | 7 | 20 | 19480 | random groves, [x^n y^(2n)] |
in-23.m | out-23.m | >30h | 529.80 | 10946.79 | >30h | 166.86 | 403.41 | 173.14 | 170.91 | 202.49 | 7004.39 | 10 | 32 | 51904 | random groves, [x^(3n) y^n] |
in-24.m | out-24.m | 16773.93 | 14784.08 | 765.81 | 15679.77 | 759.26 | 758.02 | 1997.19 | 78485.99 | >30h | >30h | 7 | 27 | 31440 | random groves, [x^(2n) y^(2n)] |
in-25.m | out-25.m | 873.93 | >33h | 1125.10 | >30h | 168.78 | 244.90 | 158.93 | 167.70 | 193.23 | 6996.08 | 10 | 32 | 51904 | random groves, [x^n y^(3n)] |
in-26.m | out-26.m | 126.55 | 125.61 | 275.13 | 2655.64 | 2666.71 | 280.68 | 127.92 | >30h | >30h | >30h | 6 | 23 | 13224 | knight walks ending at (0,0) |
in-27.m | out-27.m | 4294.85 | 2227.09 | 31336.71 | >30h | 2178.55 | 3116.89 | 4378.15 | >30h | >30h | >30h | 12 | 76 | 89360 | knight walks ending at (1,0) |
in-28.m | out-28.m | 2164.31 | 4283.18 | 21465.62 | >30h | 4264.47 | 5166.89 | 65365.06 | >30h | >30h | >30h | 12 | 76 | 89752 | knight walks ending at (0,1) |
in-29.m | out-29.m | 4271.47 | 2303.72 | 37185.64 | >30h | 2287.83 | 3273.19 | 2376.63 | >30h | >30h | >30h | 12 | 76 | 90272 | knight walks ending at (-1,0) |
in-30.m | out-30.m | 2441.47 | 4247.27 | 43244.79 | >30h | 5386.17 | 6190.89 | 64508.09 | >30h | >30h | >30h | 12 | 76 | 89752 | knight walks ending at (0,-1) |
in-31.m | out-31.m | 8333.90 | 7494.64 | 39162.78 | >30h | 7419.98 | 7915.04 | 72994.38 | >30h | >30h | >30h | 12 | 74 | 87664 | knight walks ending at (-1,-1) |
in-32.m | out-32.m | 8392.92 | 7465.50 | 36957.55 | >30h | 7276.75 | 7938.35 | 74181.14 | >30h | >30h | >30h | 12 | 74 | 87664 | knight walks ending at (-1,1) |
in-33.m | out-33.m | 7754.31 | 8209.88 | 34464.58 | >30h | 8528.18 | 7808.53 | 72216.13 | >30h | >30h | >30h | 12 | 74 | 86952 | knight walks ending at (1,-1) |
in-34.m | out-34.m | 7436.03 | 10732.05 | 34075.48 | >30h | 10663.64 | 7756.55 | 71008.12 | >30h | >30h | >30h | 12 | 74 | 86952 | knight walks ending at (1,1) |
in-35.m | out-35.m | 9.75 | 9.86 | 12.99 | 28.70 | 9.71 | 9.85 | 7.47 | 34.83 | 16.11 | 992.58 | 4 | 9 | 3592 | quantum random walks ending at (0,0) |
in-36.m | out-36.m | 5.53 | 5.81 | 3.74 | 11.70 | 5.55 | 5.46 | 3.99 | 29.22 | 13.70 | 1852.53 | 3 | 9 | 3600 | quantum random walks ending at (1,0) |
in-37.m | out-37.m | 5.85 | 5.62 | 3.88 | 10.57 | 5.41 | 5.36 | 4.01 | 23.17 | 17.56 | 795.27 | 3 | 9 | 3520 | quantum random walks ending at (0,1) |
in-38.m | out-38.m | 6.89 | 6.22 | 6.93 | 19.09 | 5.77 | 5.35 | 3.89 | 23.13 | 11.19 | 834.99 | 3 | 11 | 4200 | quantum random walks ending at (-1,0) |
in-39.m | out-39.m | 6.00 | 6.62 | 4.92 | 13.98 | 6.61 | 6.33 | 5.44 | 70.45 | 45.13 | 2220.32 | 3 | 11 | 4056 | quantum random walks ending at (0,-1) |
in-40.m | out-40.m | 11.41 | 11.16 | 13.95 | 53.75 | 11.06 | 11.25 | 9.25 | 86.82 | 55.38 | 1995.38 | 4 | 13 | 5104 | quantum random walks ending at (-1,-1) |
in-41.m | out-41.m | 6.64 | 5.98 | 7.18 | 12.90 | 5.67 | 5.22 | 3.82 | 31.08 | 21.17 | 873.72 | 3 | 12 | 4432 | quantum random walks ending at (-1,1) |
in-42.m | out-42.m | 5.97 | 6.33 | 6.91 | 13.03 | 6.16 | 6.35 | 5.41 | 70.97 | 46.69 | 2069.46 | 3 | 12 | 4576 | quantum random walks ending at (1,-1) |
in-43.m | out-43.m | 10.26 | 10.37 | 9.80 | 35.48 | 10.05 | 10.56 | 7.52 | 33.66 | 23.73 | 1348.67 | 4 | 9 | 3592 | quantum random walks ending at (1,1) |
in-44.m | out-44.m | 3.48 | 2.61 | 2.59 | 24.55 | 0.36 | 0.40 | 0.59 | 0.63 | 0.60 | 470.72 | 3 | 5 | 3072 | diagonal of 3d-rooks |
in-45.m | out-45.m | 27.89 | 30.74 | 65.50 | 206.58 | 1.51 | 1.59 | 2.50 | 2.43 | 2.40 | 1538.17 | 4 | 21 | 15688 | diagonal of 3d-rooks (variation) |
in-46.m | out-46.m | 4838.00 | 4986.07 | 8019.37 | >30h | 543.69 | 580.05 | 479.52 | >30h | >30h | >30h | 6 | 45 | 49352 | diagonal of 3d-rooks (variation) |
in-47.m | out-47.m | 3.05 | 5.72 | 1.69 | 29.06 | 0.55 | 0.61 | 0.89 | 1.42 | 1.43 | 1120.87 | 3 | 10 | 3424 | diagonal of 3d-rooks (variation) |
in-48.m | out-48.m | 44.63 | 62.06 | 104.79 | 498.45 | 2.02 | 2.12 | 3.38 | 5.64 | 6.22 | 1888.39 | 4 | 30 | 22552 | diagonal of 3d-rooks (variation) |
in-49.m | out-49.m | 12109.41 | 12318.27 | 39640.75 | >30h | 1252.31 | 1452.92 | 1186.72 | >30h | >30h | >30h | 6 | 71 | 92552 | diagonal of 3d-queens |
in-50.m | out-50.m | 2.87 | 3.48 | 1.59 | 19.93 | 0.42 | 0.46 | 0.67 | 0.86 | 0.75 | 554.30 | 3 | 5 | 3072 | diagonal of 3d-rooks |
in-51.m | out-51.m | 31.38 | 28.82 | 42.98 | 182.97 | 1.40 | 1.53 | 2.39 | 2.39 | 2.72 | 2007.43 | 4 | 21 | 15688 | diagonal of 3d-rooks (variation) |
in-52.m | out-52.m | 5226.95 | 4912.46 | 8242.97 | >30h | 536.11 | 602.07 | 479.23 | >30h | >30h | >30h | 6 | 45 | 49352 | diagonal of 3d-rooks (variation) |
in-53.m | out-53.m | 5.76 | 3.03 | 6.69 | 24.42 | 0.39 | 0.44 | 0.64 | 0.85 | 0.89 | 551.16 | 3 | 10 | 3424 | diagonal of 3d-rooks (variation) |
in-54.m | out-54.m | 60.18 | 44.90 | 211.31 | 420.31 | 1.82 | 1.91 | 3.02 | 4.32 | 4.47 | 2233.15 | 4 | 30 | 22552 | diagonal of 3d-rooks (variation) |
in-55.m | out-55.m | 11797.54 | 11598.18 | 38827.70 | >30h | 1260.61 | 1453.87 | 1201.81 | >30h | >30h | >30h | 6 | 71 | 92552 | diagonal of 3d-queens |
in-56.m | out-56.m | 2.80 | 2.77 | 1.60 | 22.96 | 22.69 | 1.55 | 2.58 | 0.72 | 0.73 | 489.17 | 3 | 5 | 2952 | diagonal of 3d-rooks |
in-57.m | out-57.m | 31.48 | 32.27 | 42.25 | 198.90 | 201.68 | 42.73 | 31.40 | 2.56 | 2.42 | 1532.73 | 4 | 21 | 15352 | diagonal of 3d-rooks (variation) |
in-58.m | out-58.m | 5195.78 | 5082.99 | 8270.46 | >30h | 571.67 | 8262.68 | 5086.82 | >30h | >30h | >30h | 6 | 45 | 49048 | diagonal of 3d-rooks (variation) |
in-59.m | out-59.m | 6.47 | 5.91 | 7.53 | 28.93 | 0.54 | 0.71 | 0.88 | 1.40 | 1.43 | 1077.43 | 3 | 10 | 3424 | diagonal of 3d-rooks (variation) |
in-60.m | out-60.m | 65.59 | 61.88 | 208.60 | 1270.58 | 2.06 | 2.14 | 3.70 | 5.90 | 6.06 | 1904.77 | 4 | 30 | 22552 | diagonal of 3d-rooks (variation) |
in-61.m | out-61.m | 11805.01 | 11975.58 | 39649.67 | >30h | 1268.54 | 1416.92 | 1203.11 | >30h | >30h | >30h | 6 | 71 | 92552 | diagonal of 3d-queens |
in-62.m | out-62.m | 95.64 | 8.89 | 42.94 | 400.03 | 2.47 | 2.52 | 94.70 | 2.59 | 3.28 | 772.53 | 5 | 14 | 10128 | 2-1-1 diagonal of 3d-rooks |
in-63.m | out-63.m | >30h | 477.99 | 48682.20 | 86435.48 | 99.49 | 97.23 | 151.46 | 57.61 | 57.71 | 3486.60 | 8 | 60 | 87760 | 2-1-1 diagonal of 3d-rooks (variation) |
in-65.m | out-65.m | 709.68 | 3.91 | 30.30 | 57.40 | 0.54 | 0.58 | 0.87 | 1.59 | 1.24 | 1010.77 | 3 | 4 | 2712 | 2-1-1 diagonal of 3d-rooks (variation) |
in-66.m | out-66.m | >30h | 1166.03 | >30h | >30h | 183.22 | 183.68 | 242.61 | 111.48 | 75.88 | 6271.12 | 9 | 93 | 167008 | 2-1-1 diagonal of 3d-rooks (variation) |
in-68.m | out-68.m | 225.47 | 271.87 | 515.36 | 1517.94 | 259.35 | 204.20 | 1704.81 | 57583.62 | 61792.83 | >30h | 4 | 40 | 24936 | randomly generated input |
in-69.m | out-69.m | 216.96 | 243.07 | 466.36 | 1374.09 | 249.16 | 202.67 | 989.00 | 51819.31 | 54077.99 | >30h | 4 | 40 | 24360 | randomly generated input |
in-70.m | out-70.m | 221.35 | 45.30 | 436.84 | 1232.80 | 43.09 | 38.34 | 26.76 | 1133.48 | 200.49 | 6024.10 | 4 | 40 | 24144 | randomly generated input |
in-71.m | out-71.m | 37.21 | 238.57 | 447.21 | 3060.84 | 48.05 | 32.82 | 27.33 | 933.03 | 205.61 | 5548.89 | 4 | 40 | 24632 | randomly generated input |
in-72.m | out-72.m | 227.78 | 257.81 | 494.57 | 1357.72 | 263.46 | 210.24 | 1012.61 | 57982.13 | 64668.30 | >30h | 4 | 40 | 24752 | randomly generated input |
in-73.m | out-73.m | 36.77 | 231.64 | 351.79 | 2540.32 | 44.68 | 49.84 | 26.82 | 1487.15 | 225.44 | 5850.57 | 4 | 40 | 24120 | randomly generated input |
in-74.m | out-74.m | 225.23 | 242.18 | 438.31 | 1319.19 | 235.85 | 191.66 | 1185.38 | 51913.45 | 54944.86 | >30h | 4 | 40 | 24104 | randomly generated input |
in-75.m | out-75.m | 2.01 | 1.78 | 1.60 | 6.98 | 1.68 | 1.90 | 1.35 | 3.71 | 2.12 | 37.42 | 3 | 4 | 2776 | restricted 2D lattice walks with small steps |
in-76.m | out-76.m | 1.75 | 1.73 | 1.60 | 11.84 | 1.72 | 2.19 | 1.30 | 7.89 | 2.51 | 101.73 | 3 | 5 | 3392 | restricted 2D lattice walks with small steps |
in-77.m | out-77.m | 2.06 | 2.05 | 2.05 | 12.81 | 1.95 | 2.71 | 1.66 | 9.11 | 5.46 | 118.09 | 3 | 8 | 4680 | restricted 2D lattice walks with small steps |
in-78.m | out-78.m | 2.72 | 2.34 | 1.79 | 12.43 | 2.32 | 3.31 | 1.83 | 12.41 | 5.28 | 223.65 | 3 | 6 | 4000 | restricted 2D lattice walks with small steps |
in-79.m | out-79.m | 38.02 | 31.55 | 18.15 | 330.90 | 13.45 | 21.02 | 11.49 | 6.43 | 6.29 | 383.01 | 5 | 16 | 13368 | restricted 2D lattice walks with small steps |
in-80.m | out-80.m | 64.94 | 66.18 | 46.34 | 505.83 | 25.49 | 37.43 | 20.48 | 12.91 | 12.04 | 553.63 | 5 | 20 | 17680 | restricted 2D lattice walks with small steps |
in-81.m | out-81.m | 42.14 | 32.90 | 19.45 | 334.40 | 14.15 | 21.84 | 11.90 | 7.25 | 6.11 | 386.41 | 5 | 15 | 13120 | restricted 2D lattice walks with small steps |
in-82.m | out-82.m | 69.64 | 72.50 | 50.74 | 474.22 | 25.45 | 37.29 | 20.01 | 11.88 | 10.99 | 708.43 | 5 | 18 | 13688 | restricted 2D lattice walks with small steps |
in-83.m | out-83.m | 99.65 | 68.21 | 64.35 | 751.13 | 27.78 | 39.20 | 22.80 | 26.39 | 23.50 | 399.55 | 5 | 24 | 21328 | restricted 2D lattice walks with small steps |
in-84.m | out-84.m | 114.51 | 81.38 | 99.00 | 866.63 | 26.04 | 35.92 | 21.49 | 43.66 | 27.27 | 1132.38 | 5 | 24 | 21328 | restricted 2D lattice walks with small steps |
in-85.m | out-85.m | 36.02 | 23.29 | 35.90 | 192.23 | 6.38 | 6.97 | 4.94 | 5.65 | 5.34 | 190.02 | 5 | 15 | 12936 | restricted 2D lattice walks with small steps |
in-86.m | out-86.m | 57.41 | 45.51 | 26.76 | 250.46 | 18.21 | 19.23 | 13.63 | 11.99 | 10.68 | 322.24 | 5 | 18 | 15600 | restricted 2D lattice walks with small steps |
in-87.m | out-87.m | 109.70 | 65.87 | 71.00 | 775.62 | 29.81 | 42.23 | 24.04 | 21.39 | 15.43 | 381.87 | 5 | 24 | 21328 | restricted 2D lattice walks with small steps |
in-88.m | out-88.m | 136.23 | 79.23 | 101.06 | 863.12 | 27.99 | 39.03 | 23.40 | 27.83 | 17.88 | 625.52 | 5 | 24 | 21328 | restricted 2D lattice walks with small steps |
in-89.m | out-89.m | 30.51 | 22.46 | 30.68 | 162.53 | 6.03 | 6.76 | 4.85 | 5.51 | 5.31 | 198.36 | 5 | 16 | 13848 | restricted 2D lattice walks with small steps |
in-90.m | out-90.m | 51.72 | 43.52 | 25.63 | 228.03 | 17.87 | 19.34 | 13.61 | 11.66 | 10.22 | 347.50 | 5 | 19 | 16512 | restricted 2D lattice walks with small steps |
in-91.m | out-91.m | 396.82 | 363.07 | 11.36 | 66.08 | 6.29 | 6.85 | 3.91 | 5.19 | 5.03 | 768.18 | 3 | 4 | 2928 | restricted 2D lattice walks with small steps |
in-92.m | out-92.m | 0.21 | 0.27 | 0.46 | 1.68 | 0.13 | 0.21 | 0.38 | 0.14 | 0.18 | 47.81 | 2 | 3 | 2160 | diagonal of Szego's ratfun |
in-93.m | out-93.m | 8.99 | 0.81 | 9.03 | 40.33 | 0.83 | 0.85 | 1.06 | 1.02 | 1.08 | 241.80 | 4 | 10 | 7496 | 2-1-1 diagonal of Szego's ratfun |
in-94.m | out-94.m | 0.76 | 11.96 | 2.97 | 33.38 | 0.91 | 0.73 | 0.91 | 1.50 | 1.60 | 248.73 | 4 | 10 | 7496 | 1-2-1 diagonal of Szego's ratfun |
in-95.m | out-95.m | 200.42 | 7.82 | 103.93 | 510.25 | 9.78 | 7.54 | 10.41 | 4.57 | 4.31 | 401.69 | 6 | 15 | 16032 | 3-1-1 diagonal of Szego's ratfun |
in-96.m | out-96.m | 12.37 | 13.81 | 16.10 | 81.62 | 17.77 | 14.17 | 51.66 | 1627.46 | 1869.53 | >30h | 4 | 11 | 9464 | 2-2-1 diagonal of Szego's ratfun |
in-97.m | out-97.m | 6.01 | 206.22 | 17.49 | 579.80 | 10.30 | 10.10 | 10.62 | 4.78 | 4.78 | 419.63 | 6 | 15 | 16032 | 1-3-1 diagonal of Szego's ratfun |