Tyrolean Complexity Tool
Small Polynomial Path Orders

Overview

MPO
LMPO
POP*
sPOP*
sPOP* (PS)
semantic (relative)
semantic + sPOP* (relative)
O(1)
---55-3
O(n^1)
---14194445
O(n^2)
---441311
POLY
--24----
ELEMENTARY
-29-----
PRIMREC
40------
Total YES
40292423285759
Total MAYBE
25026126626726288
Total TIMEOUT
-----225223
Strict Wins
1031----

Average Execution Time (in seconds)

MPO
LMPO
POP*
sPOP*
sPOP* (PS)
semantic (relative)
semantic + sPOP* (relative)
O(1)
-
-
-
0.123
0.117
-
0.116
O(n^1)
-
-
-
0.150
0.182
0.835
0.779
O(n^2)
-
-
-
0.204
0.205
2.041
1.935
POLY
-
-
0.111
-
-
-
-
ELEMENTARY
-
0.126
-
-
-
-
-
PRIMREC
0.173
-
-
-
-
-
-
Total YES
0.173
0.126
0.111
0.154
0.174
1.110
0.961
Total MAYBE
0.188
0.171
0.172
0.171
0.174
4.362
4.287

Details

Problem (all selected)
MPO
LMPO
POP*
sPOP*
sPOP* (PS)
semantic (relative)
semantic + sPOP* (relative)
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ELEMENTARY
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TIMEOUT
MAYBE
MAYBE
MAYBE
MAYBE
MAYBE
TIMEOUT
TIMEOUT
MAYBE
MAYBE
MAYBE
MAYBE
MAYBE
TIMEOUT
TIMEOUT
MAYBE
MAYBE
MAYBE
MAYBE
MAYBE
TIMEOUT
TIMEOUT
MAYBE
MAYBE
MAYBE
MAYBE
MAYBE
TIMEOUT
TIMEOUT
MAYBE
MAYBE
MAYBE
MAYBE
MAYBE
TIMEOUT
TIMEOUT
MAYBE
MAYBE
MAYBE
MAYBE
MAYBE
TIMEOUT
TIMEOUT
MAYBE
MAYBE
MAYBE
MAYBE
MAYBE
MAYBE
MAYBE
MAYBE
MAYBE
MAYBE
MAYBE
MAYBE
TIMEOUT
TIMEOUT
MAYBE
MAYBE
MAYBE
MAYBE
MAYBE
TIMEOUT
TIMEOUT
MAYBE
MAYBE
MAYBE
MAYBE
MAYBE
TIMEOUT
TIMEOUT
MAYBE
MAYBE
MAYBE
MAYBE
MAYBE
TIMEOUT
TIMEOUT
MAYBE
MAYBE
MAYBE
MAYBE
MAYBE
TIMEOUT
TIMEOUT
MAYBE
MAYBE
MAYBE
MAYBE
MAYBE
TIMEOUT
TIMEOUT
MAYBE
MAYBE
MAYBE
MAYBE
MAYBE
TIMEOUT
TIMEOUT
MAYBE
MAYBE
MAYBE
MAYBE
MAYBE
TIMEOUT
TIMEOUT
MAYBE
MAYBE
MAYBE
MAYBE
MAYBE
TIMEOUT
TIMEOUT
MAYBE
MAYBE
MAYBE
MAYBE
MAYBE
TIMEOUT
TIMEOUT
MAYBE
MAYBE
MAYBE
MAYBE
MAYBE
TIMEOUT
TIMEOUT
MAYBE
MAYBE
MAYBE
MAYBE
MAYBE
TIMEOUT
TIMEOUT
MAYBE
MAYBE
MAYBE
MAYBE
MAYBE
TIMEOUT
TIMEOUT
MAYBE
MAYBE
MAYBE
MAYBE
MAYBE
TIMEOUT
TIMEOUT
MAYBE
MAYBE
MAYBE
MAYBE
MAYBE
TIMEOUT
TIMEOUT
PRIMREC
ELEMENTARY
POLY
O(n^1)
O(n^1)
O(n^1)
O(n^1)
PRIMREC
ELEMENTARY
POLY
O(n^2)
O(n^2)
O(n^2)
O(n^2)
PRIMREC
ELEMENTARY
POLY
O(n^1)
O(n^1)
O(n^1)
O(n^1)
MAYBE
MAYBE
MAYBE
MAYBE
MAYBE
TIMEOUT
TIMEOUT
PRIMREC
MAYBE
MAYBE
MAYBE
MAYBE
TIMEOUT
TIMEOUT
PRIMREC
MAYBE
MAYBE
MAYBE
MAYBE
TIMEOUT
TIMEOUT
PRIMREC
MAYBE
MAYBE
MAYBE
MAYBE
TIMEOUT
TIMEOUT
MAYBE
MAYBE
MAYBE
MAYBE
O(n^1)
O(n^2)
O(n^1)
MAYBE
MAYBE
MAYBE
MAYBE
O(n^1)
O(n^1)
O(n^1)
PRIMREC
ELEMENTARY
POLY
MAYBE
MAYBE
TIMEOUT
TIMEOUT
MAYBE
MAYBE
MAYBE
MAYBE
MAYBE
O(n^1)
O(n^1)
MAYBE
MAYBE
MAYBE
MAYBE
MAYBE
TIMEOUT
TIMEOUT
PRIMREC
MAYBE
MAYBE
MAYBE
MAYBE
TIMEOUT
TIMEOUT
MAYBE
MAYBE
MAYBE
MAYBE
MAYBE
TIMEOUT
TIMEOUT
MAYBE
MAYBE
MAYBE
MAYBE
MAYBE
TIMEOUT
TIMEOUT
MAYBE
MAYBE
MAYBE
MAYBE
MAYBE
TIMEOUT
TIMEOUT
PRIMREC
ELEMENTARY
POLY
O(1)
O(1)
O(n^1)
O(n^1)
PRIMREC
MAYBE
MAYBE
MAYBE
MAYBE
TIMEOUT
TIMEOUT
PRIMREC
ELEMENTARY
POLY
O(1)
O(1)
O(n^1)
O(1)
PRIMREC
ELEMENTARY
POLY
O(n^1)
O(n^1)
O(n^1)
O(n^1)
MAYBE
MAYBE
MAYBE
MAYBE
MAYBE
O(n^1)
O(n^1)
PRIMREC
ELEMENTARY
POLY
O(1)
O(1)
O(n^1)
O(n^1)
PRIMREC
ELEMENTARY
POLY
O(1)
O(1)
O(n^1)
O(1)
MAYBE
MAYBE
MAYBE
MAYBE
MAYBE
O(n^1)
O(n^1)
MAYBE
MAYBE
MAYBE
MAYBE
MAYBE
TIMEOUT
TIMEOUT
PRIMREC
ELEMENTARY
POLY
O(n^2)
O(n^2)
O(n^2)
O(n^2)
MAYBE
MAYBE
MAYBE
MAYBE
MAYBE
O(n^1)
O(n^1)
PRIMREC
ELEMENTARY
POLY
O(n^1)
O(n^1)
O(n^1)
O(n^1)
MAYBE
MAYBE
MAYBE
MAYBE
MAYBE
TIMEOUT
TIMEOUT
MAYBE
MAYBE
MAYBE
MAYBE
MAYBE
TIMEOUT
TIMEOUT
MAYBE
MAYBE
MAYBE
MAYBE
MAYBE
TIMEOUT
TIMEOUT
MAYBE
MAYBE
MAYBE
MAYBE
MAYBE
TIMEOUT
TIMEOUT
MAYBE
MAYBE
MAYBE
MAYBE
MAYBE
TIMEOUT
TIMEOUT
MAYBE
MAYBE
MAYBE
MAYBE
MAYBE
TIMEOUT
TIMEOUT
MAYBE
MAYBE
MAYBE
MAYBE
MAYBE
TIMEOUT
TIMEOUT
MAYBE
MAYBE
MAYBE
MAYBE
MAYBE
TIMEOUT
TIMEOUT
MAYBE
MAYBE
MAYBE
MAYBE
MAYBE
TIMEOUT
TIMEOUT
MAYBE
MAYBE
MAYBE
MAYBE
MAYBE
TIMEOUT
TIMEOUT
MAYBE
MAYBE
MAYBE
MAYBE
MAYBE
TIMEOUT
TIMEOUT
MAYBE
MAYBE
MAYBE
MAYBE
MAYBE
TIMEOUT
TIMEOUT
MAYBE
MAYBE
MAYBE
MAYBE
MAYBE
TIMEOUT
TIMEOUT
MAYBE
MAYBE
MAYBE
MAYBE
MAYBE
TIMEOUT
TIMEOUT
MAYBE
MAYBE
MAYBE
MAYBE
MAYBE
TIMEOUT
TIMEOUT
MAYBE
MAYBE
MAYBE
MAYBE
MAYBE
TIMEOUT
TIMEOUT
MAYBE
MAYBE
MAYBE
MAYBE
MAYBE
TIMEOUT
TIMEOUT
PRIMREC
MAYBE
MAYBE
MAYBE
MAYBE
TIMEOUT
TIMEOUT
MAYBE
MAYBE
MAYBE
MAYBE
MAYBE
TIMEOUT
TIMEOUT
MAYBE
MAYBE
MAYBE
MAYBE
MAYBE
TIMEOUT
TIMEOUT
MAYBE
MAYBE
MAYBE
MAYBE
MAYBE
TIMEOUT
TIMEOUT
MAYBE
MAYBE
MAYBE
MAYBE
MAYBE
TIMEOUT
TIMEOUT