Details

Time bar (total: 16.2s)

sample280.0ms

Algorithm
intervals
Results
109.0ms100×body2560valid
64.0ms805×body80nan
49.0ms86×body1280valid
14.0ms36×body640valid
5.0ms20×body320valid
2.0ms10×body160valid
1.0msbody80valid

simplify682.0ms

Counts
1 → 1

prune40.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 31.9b

localize24.0ms

Local error

Found 2 expressions with local error:

1.7b
(fmod a (asin a))
29.4b
(pow (atan (fmod a (asin a))) (* a a))

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
pow1 add-exp-log add-sqr-sqrt add-cube-cbrt unpow-prod-down *-un-lft-identity
add-cbrt-cube add-log-exp
pow-to-exp pow-unpow pow-pow pow-exp sqr-pow
Counts
2 → 22
Calls
2 calls:
0.0ms
(fmod a (asin a))
7.0ms
(pow (atan (fmod a (asin a))) (* a a))

series35.0ms

Counts
2 → 6
Calls
2 calls:
3.0ms
(fmod a (asin a))
32.0ms
(pow (atan (fmod a (asin a))) (* a a))

simplify2.2s

Counts
28 → 28

prune100.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 31.9b

localize23.0ms

Local error

Found 4 expressions with local error:

1.7b
(fmod a (asin a))
1.7b
(fmod a (asin a))
1.7b
(fmod a (asin a))
29.4b
(pow (atan (* (* (cbrt (fmod a (asin a))) (cbrt (fmod a (asin a)))) (cbrt (fmod a (asin a))))) (* a a))

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
pow1 add-exp-log add-sqr-sqrt add-cube-cbrt *-un-lft-identity
add-cbrt-cube add-log-exp
unpow-prod-down
pow-to-exp pow-unpow pow-pow pow-exp sqr-pow
Counts
4 → 36
Calls
4 calls:
0.0ms
(fmod a (asin a))
0.0ms
(fmod a (asin a))
0.0ms
(fmod a (asin a))
8.0ms
(pow (atan (* (* (cbrt (fmod a (asin a))) (cbrt (fmod a (asin a)))) (cbrt (fmod a (asin a))))) (* a a))

series39.0ms

Counts
4 → 12
Calls
4 calls:
2.0ms
(fmod a (asin a))
2.0ms
(fmod a (asin a))
3.0ms
(fmod a (asin a))
32.0ms
(pow (atan (* (* (cbrt (fmod a (asin a))) (cbrt (fmod a (asin a)))) (cbrt (fmod a (asin a))))) (* a a))

simplify2.2s

Counts
48 → 48

prune236.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 31.9b

simplify710.0ms

end0.0ms

sample9.7s

Algorithm
intervals
Results
3.8s3070×body2560valid
2.2s24142×body80nan
1.9s2481×body1280valid
607.0ms1223×body640valid
241.0ms612×body320valid
58.0ms323×body160valid
34.0ms291×body80valid