The timings measured in Z on 2xOpteron-242 (1.6 Ghz) with 4Gb RAM

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The timings measured in on 2xOpteron-242 (1.6 Ghz) with 4Gb RAM

THIS IS OBSOLETE TIMINGS

Information in columns:

timins: JB: C program by Yanovich D.A.
FGb: the F4 implementation by J.-C.Faugere running under Maple 10 other timings are given for different GINV modules implementing selection strategies I ("deg") and II ("high" and "low") as described in paper "On Computing Janet Bases for Degree Compatible Orderings"[1] for Janet (J) and Janet-like (JL) divisions
cardinality: JB: Janet basis
JLB: Janet-like basis
GB:Groebner basis
JB Maple (FGb) degJ degJL highJ highJL lowJ lowJL JB JLB GB Hilbert polynomial
assur44 6.67 4.86 14.69 13.71 5.09 5.73 5.53 5.25 94 94 87
aubry2 29.02 1.13 67.24 56.79 15.23 27.32 19.21 28.51 135 123 79
augot
benchmark_D1 5.92 5.30 9.57 4.30 1.43 1.53 1.62 1.72 104 104 86
benchmark_i1 56.15 49.12 81.88 103.28 42.75 39.64 41.45 43.70 147 147 118
boon 0.00 0.04 0.01 0.01 0.00 0.01 0.00 0.00 12 12 12
butcher 0.04 0.06 0.10 0.10 0.04 0.04 0.06 0.05 52 52 27
butcher8 0.79 0.62 1.09 0.99 0.41 0.42 0.45 0.45 64 64 54
camera1s 0.08 0.53 0.08 0.07 0.10 0.09 0.10 0.08 35 32 26
caprasse 0.00 0.04 0.00 0.01 0.00 0.01 0.00 0.01 38 32 26
cassou 0.08 0.05 0.07 2.86 0.03 0.07 0.03 0.10 15 8 8
chandra4 0.00 0.04 0.00 0.00 0.00 0.00 0.00 0.00 8 8 8
chandra5 0.00 0.06 0.01 0.00 0.01 0.01 0.00 0.00 16 16 16
chandra6 0.02 0.17 0.03 0.03 0.03 0.03 0.03 0.03 32 32 32
chemequ 0.01 0.16 0.02 0.02 0.02 0.02 0.02 0.03 18 18 18
chemequs 0.37 3.88 0.40 0.41 0.37 0.37 0.40 0.40 20 20 20
chemkin 12.28 6.22 16.22 15.78 9.80 9.17 8.92 9.65 117 116 90
cohn2 0.08 0.10 0.10 0.11 0.08 0.08 0.10 0.09 33 29 23
cohn3 45.94 41.21 82.63 192.62 22.40 23.33 20.74 36.52 106 103 92
comb3000 0.00 0.10 0.01 0.01 0.01 0.01 0.00 0.01 34 22 20
comb3000s 0.03 0.44 0.04 0.04 0.03 0.03 0.03 0.04 34 22 20
conform1 0.00 0.02 0.01 0.00 0.00 0.00 0.00 0.00 10 10 10
cpdm5 1.59 0.84 2.00 1.94 2.05 2.13 2.06 2.06 83 83 77
cyclic5 0.00 0.02 0.01 0.01 0.01 0.00 0.01 0.02 23 21 20
cyclic6 0.14 0.10 0.25 0.25 0.14 0.14 0.16 0.16 46 45 45
cyclic7 50.15 10.00 87.76 77.71 72.89 69.73 64.33 67.32 210 210 209
cyclic8 9999.03 217.68 14056.89 17232.79 5376.18 4499.49 3863.73 2975.51 384 383 372
d1 6.00 5.29 9.67 4.29 1.41 1.53 1.58 1.67 104 104 86
des18_3 0.17 0.63 0.19 0.18 0.19 0.19 0.19 0.21 104 76 39
des22_24 0.55 0.84 0.59 0.60 0.73 0.71 0.75 0.65 129 115 45
dessin1 0.17 0.64 0.20 0.17 0.18 0.20 0.20 0.20 104 76 39
dessin2 0.48 0.99 0.51 0.48 0.66 0.52 0.66 0.49 122 105 46
discret3 11374.4 11772.97 15115.46 7415.81 8467.31 7945.25 10439.18 164 154 147
dl 247.1 6.06 412.91 491.86 101.69 105.97 101.06 133.61 538 491 323
ducos10
ducos7_3 33.58 1.89 68.23 52.72 25.39 27.25 29.95 40.29 135 122 80
ducos7_5 12464.30 2.48 483.94 696.12 276.09 261.92 252.43 257.44 1 1 1
ducos8 29.29 2.50 41.34 42.66 66.59 18.64 101.90 29.36 176 23 11
eco10 44.86 4.46 70.99 83.13 81.77 73.21 73.38 68.27 336 279 203
eco11 465.36 58.62 864.73 843.11 832.02 813.17 743.31 845.07 662 561 389
eco12 3737.13 573.51 9478.13 11691.61 12958.02 11919.20 13512.87 12179.72 1329 1109 743
eco7 0.05 0.06 0.08 0.08 0.07 0.07 0.08 0.07 45 38 32
eco8 0.38 0.23 0.52 0.56 0.54 0.55 0.51 0.55 86 75 59
eco9 3.22 0.84 7.49 8.56 6.15 5.43 6.04 6.10 172 147 106
el44 2.11 0.14 1.50 26.81 0.35 0.34 0.73 0.67 26 22 14
el50
extcyc4 0.01 0.05 0.01 0.01 0.01 0.01 0.02 0.02 25 24 24
extcyc5 1.2 0.50 2.03 2.22 1.47 1.39 1.50 1.95 102 102 102
extcyc6 219.53 36.57 188.99 171.33 195.37 212.52 162.21 134.10 243 242 242
extcyc7
extcyc8
f633 0.06 0.11 0.10 0.10 0.08 0.09 0.10 0.10 153 149 47
f744 4.43 0.46 10.13 10.26 2.52 2.51 3.05 3.15 162 159 87
f855 103.59 5.00 160.34 160.64 37.57 37.89 44.05 51.40 264 261 148
f966
fabrice24 60.92 7.27 134.91 137.36 5.05 5.00 5.45 5.48 55 55 54
filter9 18.62 3.29 7.20 6.40 1.04 1.09 3.58 2.95 232 226 153
geneig 0.01 0.07 0.02 0.02 0.01 0.01 0.02 0.01 16 16 16
hairer1 0.00 0.02 0.00 0.00 0.00 0.00 0.00 0.00 17 17 12
hairer2 52.00 6.20 109.04 142.09 138.14 178.87 136.56 134.55 453 389 128
hairer3 1.75 0.58 1.93 2.12 0.37 0.11 4.81 0.22 1 1 1
hairer4
hawes4
hcyclic5 0.00 0.05 0.02 0.01 0.01 0.00 0.01 0.01 52 44 38
hcyclic6 0.21 0.23 0.36 0.22 0.22 0.16 0.25 0.17 221 133 99
hcyclic7 56.12 18.40 100.19 68.17 79.38 58.93 89.59 64.28 1182 653 443
hcyclic8 5442.38 560.75 6395.24 4204.18 9871.78 7904.51 7800.25 4967.98 4392 2359 1182
heart 0.00 0.06 0.01 0.01 0.00 0.00 0.01 0.00 10 10 9
hemmecke 0.56 0.04 0.94 0.00 0.04 0.01 0.05 0.00 983 14 9
hf744 21.82 1.24 20.55 21.12 7.99 7.98 13.77 11.47 1244 1242 204
hf855 1992.07 55.90 906.15 932.55 821.12 628.41 1105.27 874.00 4745 4742 688
hietarinta1 0.71 0.34 1.06 1.10 0.37 0.38 1.10 0.96 52 52 51
hunecke 0.00 0.04 0.00 0.00 0.00 0.00 0.01 0.00 15 14 9
i1 54.49 48.99 88.00 103.71 42.51 39.37 41.97 44.54 147 147 118
ilias12
ilias13 723.07 183.44 6577.81 2058.79 2036.98 2011.34 2529.96 2593.16 285 285 246
ilias_k_2 208.02 28.06 479.12 495.06 349.44 350.64 208.16 215.40 185 183 125
ilias_k_3 275.22 51.93 597.28 603.66 813.70 809.95 429.22 427.09 205 202 140
issac97 0.00 0.06 0.00 0.00 0.00 0.01 0.00 0.00 12 12 12
jcf26 121.86 14.66 254.02 251.81 10.28 9.81 10.31 10.38 80 80 79
katsura10 3732.74 576.36 4784.14 4444.97 7195.53 7558.93 6078.84 6294.32 559 559 537
katsura6 0.17 0.22 0.20 0.18 0.21 0.20 0.20 0.20 43 43 41
katsura7 1.83 1.22 2.05 2.16 2.28 2.43 2.27 2.33 79 79 74
katsura8 22.24 7.80 30.87 30.57 34.86 31.31 32.45 28.50 151 151 143
katsura9 271.00 56.54 348.08 307.69 390.53 380.82 353.25 320.10 287 287 272
kin1 8.32 18.19 13.74 14.12 4.71 4.66 5.12 5.25 120 120 88
kinema 0.15 0.28 0.17 0.17 0.13 0.14 0.13 0.15 45 45 39
kotsireas 4.68 2.80 9.58 9.47 4.71 5.07 4.60 5.04 78 78 70
ku10 0.00 0.04 0.01 0.01 0.00 0.01 0.00 0.00 10 10 10
lanconelli 0.00 0.04 0.00 0.00 0.00 0.00 0.00 0.01 10 8 6
lichtblau 0.08 1.22 0.08 0.09 0.08 0.08 0.08 0.09 16 16 16
liu 0.00 0.02 0.00 0.01 0.00 0.01 0.00 0.00 19 19 12
lorentz 0.00 0.02 0.00 0.00 0.00 0.00 0.00 0.00 13 13 12
matrix 12.54 0.55 6.69 5.85 0.67 0.85 1.79 2.23 1324 1249 161
mckay 132778.00 7.40 * * 6624.61 6648.29 3895.01 3914.28 126 63 51
mckay.gls50mod
mickey 0.00 0.02 0.00 0.00 0.00 0.00 0.00 0.00 3 2 2
morgenstern 0.01 0.05 0.02 0.01 0.02 0.02 0.01 0.01 72 69 27
noon5 0.06 0.16 0.09 0.08 0.06 0.08 0.07 0.09 137 84 72
noon6 0.98 0.86 1.76 1.97 1.43 1.97 1.42 2.11 399 234 187
noon7 24.13 6.65 46.62 65.50 42.42 69.33 42.19 79.56 1157 651 495
noon8 1237.66 66.49 2564.97 5748.63 3709.50 7086.76 3281.98 6834.83 3385 1818 1338
noon9
pinchon1 8.54 2.47 15.83 14.99 13.15 12.50 13.17 13.66 145 122 108
puma 0.00 0.08 0.01 0.00 0.01 0.01 0.00 0.00 32 19 16
quadfor2 0.00 0.02 0.00 0.01 0.00 0.00 0.00 0.00 4 4 4
quadgrid 0.00 0.04 0.01 0.01 0.00 0.00 0.00 0.01 8 8 8
rabmo 0.72 0.18 0.62 0.56 2.08 2.38 2.86 3.26 28 28 20
rbpl 155.70 30.10 157.83 157.59 156.02 128.69 155.63 152.71 309 148 126
rbpl24 60.84 7.29 133.16 134.37 5.11 5.07 5.37 5.52 55 55 54
redcyc5 0.01 0.02 0.01 0.01 0.01 0.01 0.00 0.01 23 14 10
redcyc6 0.17 0.27 0.26 0.14 0.15 0.17 0.17 46 31 21
redcyc7 510.31 2.18 749.17 56234.83 51.12 47.22 55.56 63.69 210 126 78
redcyc8
redeco10 15.09 2.24 25.52 22.35 30.19 26.59 29.03 24.51 384 384 257
redeco11 145.88 11.83 250.43 249.51 299.67 311.78 283.29 254.73 768 768 513
redeco12 1370.75 80.86 2642.87 2631.55 5466.67 6098.63 3662.07 4267.28 1536 1536 1025
redeco7 0.02 0.04 0.03 0.02 0.02 0.02 0.03 0.03 48 48 33
redeco8 0.17 0.15 0.21 0.21 0.23 0.22 0.23 0.22 96 96 65
redeco9 1.62 0.55 2.30 2.30 2.59 2.37 2.48 2.30 192 192 129
reif 0.00 0.05 0.01 0.02 0.05 0.05 0.01 0.01 1 1 1
reimer4 0.01 0.05 0.04 0.03 0.02 0.02 0.02 0.01 19 17 17
reimer5 0.22 0.18 0.42 0.36 0.53 0.45 0.40 0.36 55 42 38
reimer6 10.54 3.21 29.35 19.70 28.72 21.24 29.87 22.30 199 118 95
reimer7 765.97 75.88 3963.38 2236.61 5275.00 3358.18 4584.26 2865.22 775 337 227
reimer8
rose 0.00 0.07 0.01 0.01 0.01 0.01 0.01 0.01 45 29 18
s9_1 0.00 0.04 0.01 0.00 0.00 0.00 0.00 0.00 15 15 15
solotarev 0.00 0.03 0.00 0.00 0.00 0.00 0.00 0.00 10 9 9
sparse5 0.00 0.04 0.00 0.00 0.00 0.00 0.00 0.00 31 5 5
speer 0.07 0.16 0.17 0.24 0.08 0.07 0.08 0.09 49 49 44
tangents 0.04 0.11 0.04 0.04 0.04 0.03 0.04 0.04 25 25 25
test 0.00 0.02 0.00 0.00 0.00 0.00 0.01 0.00 23 7 5
uteshev_bikker 0.02 0.16 0.02 0.02 0.02 0.02 0.02 0.02 17 17 17
vermeer 0.01 0.04 0.02 0.03 0.01 0.01 0.02 0.02 36 25 20
vernov1
virasoro 8.13 2.38 10.01 11.55 13.10 11.35 12.98 13.20 136 136 128
wang16 0.01 0.05 0.02 0.01 0.01 0.01 0.02 0.01 20 20 18
wright 0.00 0.02 0.00 0.00 0.00 0.00 0.00 0.00 31 5 5