Details

Time bar (total: 6.2s)

sample183.0ms

Algorithm
intervals
Results
63.0ms95×body2560valid
49.0ms736×body80nan
35.0ms85×body1280valid
10.0ms40×body640valid
4.0ms25×body320valid
1.0msbody80valid
0.0msbody160valid

simplify53.0ms

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

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 32.1b

Counts
2 → 1

localize8.0ms

Local error

Found 2 expressions with local error:

1.2b
(fmod a (asin a))
28.7b
(pow (atan (fmod a (asin a))) (* a a))

rewrite3.0ms

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:
1.0ms
(fmod a (asin a))
2.0ms
(pow (atan (fmod a (asin a))) (* a a))

series19.0ms

Counts
2 → 6
Calls
2 calls:
1.0ms
(fmod a (asin a))
18.0ms
(pow (atan (fmod a (asin a))) (* a a))

simplify55.0ms

Algorithm
egg-herbie
Counts
28 → 28
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
096180
1340169
21284169
35001169

prune62.0ms

Filtered
28 candidates to 21 candidates (75.0%)
Pruning

1 alts after pruning (0 fresh and 1 done)

PrunedKeptTotal
New28028
Fresh000
Picked011
Done000
Total28129

Merged error: 32.1b

Counts
29 → 1

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
065

end0.0ms

sample5.8s

Algorithm
intervals
Results
2.1s2993×body2560valid
1.6s23732×body80nan
1.0s2522×body1280valid
333.0ms1265×body640valid
110.0ms623×body320valid
39.0ms304×body160valid
25.0ms293×body80valid