Details

Time bar (total: 7.5s)

sample222.0ms

Algorithm
intervals
Results
72.0ms97×body2560valid
67.0ms781×body80nan
37.0ms78×body1280valid
18.0ms48×body640valid
5.0ms20×body320valid
1.0msbody160valid
1.0msbody80valid

simplify52.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0105
1175
2405
31045
43285
519065
650025

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 33.1b

localize8.0ms

Local error

Found 2 expressions with local error:

1.7b
(fmod a (asin a))
27.7b
(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))

series19.0ms

Counts
2 → 6
Calls
2 calls:
1.0ms
(fmod a (asin a))
17.0ms
(pow (atan (fmod a (asin a))) (* a a))

simplify54.0ms

Algorithm
egg-herbie
Counts
28 → 28
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
096180
1340169
21284169
35001169

prune78.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 33.1b

localize12.0ms

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))
27.7b
(pow (atan (* (* (cbrt (fmod a (asin a))) (cbrt (fmod a (asin a)))) (cbrt (fmod a (asin a))))) (* a a))

rewrite3.0ms

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))
2.0ms
(pow (atan (* (* (cbrt (fmod a (asin a))) (cbrt (fmod a (asin a)))) (cbrt (fmod a (asin a))))) (* a a))

series23.0ms

Counts
4 → 12
Calls
4 calls:
1.0ms
(fmod a (asin a))
1.0ms
(fmod a (asin a))
1.0ms
(fmod a (asin a))
19.0ms
(pow (atan (* (* (cbrt (fmod a (asin a))) (cbrt (fmod a (asin a)))) (cbrt (fmod a (asin a))))) (* a a))

simplify59.0ms

Algorithm
egg-herbie
Counts
48 → 48
Iterations

Useful iterations: 3 (54.0ms)

IterNodesCost
0100432
1363402
21385348
35002330

prune148.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 33.1b

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01014
11014

end0.0ms

sample6.9s

Algorithm
intervals
Results
2.4s3070×body2560valid
2.1s23922×body80nan
1.2s2510×body1280valid
419.0ms1282×body640valid
130.0ms552×body320valid
49.0ms315×body80valid
49.0ms271×body160valid