Janet Basis

This table reflects the usefullness of reductions both in Groebner and involutive cases. The first column of each part of the table is "number of non-zero reductions/number of all reductions" and the second is "time of non-zero reductions/time of all reductions". Of course: the higher - the better :).
Thanks to our collaborator Vladimir Mityunin for his Groebner realization timings.
ExampleGroebnerInvolutive
assur44
0.22997
0.111111
0.836522
0.603554
chemequs
0.280488
0
0.695652
0.277778
chemkin
0.280488
0
0.852072
0.268173
cohn3
0.413302
0.471264
0.780446
0.503413
cpdm5
0.235795
0
0.801451
0.288732
cyclic7
0.324305
0.947009
0.95001
0.82568
d1
0.26971
0
0.705377
0.193258
des22_24
0.227273
0
0.675522
0.228956
dl
0.205255
0
0.707133
0.393243
eco8
0.255319
0
0.664352
0.191304
eco9
0.2325
0
0.653401
0.220801
eco10
0.204867
0
0.538025
0.0739095
eco11
0.191257
0.0131009
0.791794
0.113844
extcyc5
0.314286
0
0.919019
0.776557
extcyc6
0.377457
0.722025
0.945843
0.81925
f744
0.226858
0
0.585853
0.0787075
f855
0.284633
0
0.602315
0.0716471
fabrice24
0.235149
0.285714
0.926314
0.942179
filter9
0.451046
0
0.63665
0.367578
hairer2
0.370884
0.0443038
0.614226
0.0308511
hairer3
0.696995
1
0.744503
0.826087
hcyclic7
0.168121
0.771429
0.926624
0.684982
hf744
0.122596
0
0.54214
0.181631
hf855
0.0978106
0.0189162
0.622758
0.130333
i1
0.201058
0
0.625635
0.190237
ilias_k_2
0.35336
0.634029
0.62531
0.193811
ilias_k_3
0.316141
0.590187
0.736864
0.290079
jcf26
0.276347
0.270492
0.925353
0.942513
katsura7
0.165548
0
0.620519
0.136691
katsura8
0.140196
0
0.615464
0.0930805
katsura9
0.12132
0
0.622099
0.0598742
kin1
0.278894
0
0.729032
0.425369
kotsireas
0.334091
0
0.808337
0.527371
noon6
0.174115
0
0.481174
0.0179372
noon7
0.14645
0.0172414
0.487333
0.00885724
noon8
0.126777
0.0669759
0.488223
0.00132658
pinchon1
0.217765
0
0.861056
0.367347
rbpl
0.190244
0.00720807
0.829319
0.0103295
rbpl24
0.235149
0.285714
0.926314
0.942118
redcyc7
0.613793
0.135957
0.811042
0.786391
redeco10
0.143175
0
0.534103
0.022381
redeco11
0.125152
0
0.529088
0.01335
redeco12
0.111183
0.00125201
0.525286
0.00601395
reimer5
0.576271
0
0.653846
0.117647
reimer6
0.598258
0
0.612637
0.045977
virasoro
0.142222
0
0.732172
0.261578

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