Details

Time bar (total: 8.1s)

sample231.0ms

Algorithm
intervals
Results
74.0ms97×body2560valid
71.0ms781×body80nan
41.0ms78×body1280valid
16.0ms48×body640valid
5.0ms20×body320valid
1.0msbody80valid
1.0msbody160valid

simplify55.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

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
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:
0.0ms
(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))

simplify56.0ms

Algorithm
egg-herbie
Counts
32 → 32
Iterations

Useful iterations: 3 (53.0ms)

IterNodesCost
0101197
1351186
21351186
35001185

prune89.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 33.1b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (sqrt (fmod a (asin a))) (sqrt (fmod a (asin a))))
1.7b
(fmod a (asin a))
1.7b
(fmod a (asin a))
27.7b
(pow (atan (* (sqrt (fmod a (asin a))) (sqrt (fmod a (asin a))))) (* a a))

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
25×add-sqr-sqrt
20×pow1
18×sqrt-prod
13×add-cube-cbrt *-un-lft-identity
sqrt-pow1 pow1/2 swap-sqr
add-exp-log
associate-*r* associate-*l* add-cbrt-cube
pow-prod-up
expm1-log1p-u log1p-expm1-u add-log-exp unswap-sqr
unpow-prod-down pow-prod-down pow-sqr
pow2 pow-to-exp pow-unpow pow-pow pow-plus sqrt-unprod pow-exp prod-exp rem-square-sqrt *-commutative cbrt-unprod sqr-pow
Counts
4 → 86
Calls
4 calls:
7.0ms
(* (sqrt (fmod a (asin a))) (sqrt (fmod a (asin a))))
0.0ms
(fmod a (asin a))
0.0ms
(fmod a (asin a))
1.0ms
(pow (atan (* (sqrt (fmod a (asin a))) (sqrt (fmod a (asin a))))) (* a a))

series22.0ms

Counts
4 → 12
Calls
4 calls:
1.0ms
(* (sqrt (fmod a (asin a))) (sqrt (fmod a (asin a))))
1.0ms
(fmod a (asin a))
1.0ms
(fmod a (asin a))
18.0ms
(pow (atan (* (sqrt (fmod a (asin a))) (sqrt (fmod a (asin a))))) (* a a))

simplify240.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
0180560
1804490
24759474
35001474

prune226.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 33.1b

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0810

end0.0ms

sample7.1s

Algorithm
intervals
Results
2.5s3070×body2560valid
2.2s23922×body80nan
1.2s2510×body1280valid
434.0ms1282×body640valid
139.0ms552×body320valid
54.0ms271×body160valid
51.0ms315×body80valid