Details

Time bar (total: 5.9s)

sample168.0ms

Algorithm
intervals
Results
74.0ms114×body2560valid
34.0ms745×body80nan
24.0ms76×body1280valid
9.0ms39×body640valid
2.0ms14×body320valid
1.0msbody160valid
0.0msbody80valid

simplify58.0ms

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: 27.5b

localize14.0ms

Local error

Found 2 expressions with local error:

1.5b
(fmod a (asin a))
33.8b
(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:
0.0ms
(fmod a (asin a))
4.0ms
(pow (atan (fmod a (asin a))) (* a a))

series20.0ms

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

simplify63.0ms

Algorithm
egg-herbie
Counts
32 → 32
Iterations

Useful iterations: 3 (59.0ms)

IterNodesCost
0101197
1351186
21351186
35001185

prune93.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 27.2b

localize11.0ms

Local error

Found 4 expressions with local error:

1.5b
(fmod a (asin a))
1.5b
(fmod a (asin a))
34.0b
(pow (atan (fmod a (asin a))) (/ (* a a) 2))
34.0b
(pow (atan (fmod a (asin a))) (/ (* a a) 2))

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
14×pow-unpow
10×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
pow1 add-exp-log unpow-prod-down times-frac
expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
pow-to-exp pow-pow pow-exp div-inv sqr-pow
Counts
4 → 64
Calls
4 calls:
0.0ms
(fmod a (asin a))
0.0ms
(fmod a (asin a))
4.0ms
(pow (atan (fmod a (asin a))) (/ (* a a) 2))
4.0ms
(pow (atan (fmod a (asin a))) (/ (* a a) 2))

series43.0ms

Counts
4 → 12
Calls
4 calls:
1.0ms
(fmod a (asin a))
1.0ms
(fmod a (asin a))
20.0ms
(pow (atan (fmod a (asin a))) (/ (* a a) 2))
21.0ms
(pow (atan (fmod a (asin a))) (/ (* a a) 2))

simplify109.0ms

Algorithm
egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 3 (102.0ms)

IterNodesCost
0142532
1529508
22602496
35002490

prune222.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 27.2b

regimes36.0ms

Accuracy

0% (0.0b remaining)

Error of 30.9b against oracle of 30.9b and baseline of 30.9b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0913

end0.0ms

sample5.0s

Algorithm
intervals
Results
2.0s3009×body2560valid
1.1s23455×body80nan
890.0ms2579×body1280valid
266.0ms1176×body640valid
96.0ms614×body320valid
36.0ms307×body160valid
25.0ms315×body80valid