Details

Time bar (total: 6.3s)

sample187.0ms

Algorithm
intervals
Results
67.0ms87×body2560valid
48.0ms687×body80nan
35.0ms86×body1280valid
11.0ms41×body640valid
4.0ms20×body320valid
2.0ms12×body160valid
1.0ms10×body80valid

simplify55.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0105
1175
2405
31045
43285
519065
650025

prune3.0ms

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: 34.0b

Counts
2 → 1

localize8.0ms

Local error

Found 2 expressions with local error:

2.4b
(fmod a (asin a))
26.7b
(pow (atan (fmod a (asin a))) (* a a))

rewrite4.0ms

Algorithm
rewrite-expression-head
Rules
pow1 add-exp-log add-sqr-sqrt add-cube-cbrt unpow-prod-down *-un-lft-identity
expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
pow-to-exp pow-unpow pow-pow pow-exp sqr-pow
Counts
2 → 26
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))

simplify57.0ms

Algorithm
egg-herbie
Counts
32 → 32
Iterations

Useful iterations: 3 (54.0ms)

IterNodesCost
0101197
1351186
21351186
35001185

prune72.0ms

Filtered
32 candidates to 25 candidates (78.1%)
Pruning

1 alts after pruning (0 fresh and 1 done)

PrunedKeptTotal
New32032
Fresh000
Picked011
Done000
Total32133

Merged error: 34.0b

Counts
33 → 1

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
065

end0.0ms

sample5.9s

Algorithm
intervals
Results
2.2s2974×body2560valid
1.6s24149×body80nan
1.0s2449×body1280valid
356.0ms1276×body640valid
129.0ms655×body320valid
48.0ms316×body160valid
29.0ms330×body80valid