Details

Time bar (total: 6.4s)

sample198.0ms

Algorithm
intervals
Results
83.0ms105×body2560valid
48.0ms754×body80nan
25.0ms60×body1280valid
15.0ms48×body640valid
5.0ms24×body320valid
2.0ms11×body160valid
1.0msbody80valid

simplify50.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0105
1175
2405
31045
43285
519065
650025

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 32.6b

localize8.0ms

Local error

Found 2 expressions with local error:

2.2b
(fmod a (asin a))
28.2b
(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))

series17.0ms

Counts
2 → 6
Calls
2 calls:
1.0ms
(fmod a (asin a))
16.0ms
(pow (atan (fmod a (asin a))) (* a a))

simplify52.0ms

Algorithm
egg-herbie
Counts
28 → 28
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
096180
1340169
21284169
35001169

prune70.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 32.6b

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
065

end0.0ms

sample6.0s

Algorithm
intervals
Results
2.3s2992×body2560valid
1.5s24344×body80nan
1.1s2469×body1280valid
405.0ms1319×body640valid
142.0ms634×body320valid
53.0ms307×body160valid
30.0ms279×body80valid