Details

Time bar (total: 4.9s)

sample148.0ms

Algorithm
intervals
Results
57.0ms100×body2560valid
34.0ms824×body80nan
27.0ms84×body1280valid
8.0ms41×body640valid
2.0ms14×body320valid
1.0ms11×body80valid
1.0msbody160valid

simplify48.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0105
1175
2405
31045
43285
519065
650025

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 29.2b

localize11.0ms

Local error

Found 2 expressions with local error:

1.7b
(fmod a (asin a))
31.1b
(pow (atan (fmod a (asin a))) (* a a))

rewrite2.0ms

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))
1.0ms
(pow (atan (fmod a (asin a))) (* a a))

series16.0ms

Counts
2 → 6
Calls
2 calls:
1.0ms
(fmod a (asin a))
15.0ms
(pow (atan (fmod a (asin a))) (* a a))

simplify50.0ms

Algorithm
egg-herbie
Counts
28 → 28
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
096180
1340169
21284169
35001169

prune64.0ms

Filtered
28 candidates to 21 candidates (75.0%)
Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 29.2b

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
065

end0.0ms

sample4.6s

Algorithm
intervals
Results
1.8s2982×body2560valid
1.0s24033×body80nan
840.0ms2503×body1280valid
260.0ms1223×body640valid
97.0ms652×body320valid
38.0ms340×body160valid
23.0ms300×body80valid