Details

Time bar (total: 7.0s)

sample194.0ms

Algorithm
intervals
Results
61.0ms86×body2560valid
55.0ms746×body80nan
37.0ms83×body1280valid
15.0ms54×body640valid
3.0ms15×body320valid
1.0ms12×body80valid
1.0msbody160valid

simplify51.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0105
1175
2405
31045
43285
519065
650025

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 32.6b

localize9.0ms

Local error

Found 2 expressions with local error:

1.5b
(fmod a (asin a))
27.2b
(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))

simplify54.0ms

Algorithm
egg-herbie
Counts
32 → 32
Iterations

Useful iterations: 3 (51.0ms)

IterNodesCost
0101197
1351186
21351186
35001185

prune88.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 32.3b

localize11.0ms

Local error

Found 4 expressions with local error:

1.5b
(fmod a (asin a))
1.5b
(fmod a (asin a))
27.5b
(pow (atan (fmod a (asin a))) (/ (* a a) 2))
27.5b
(pow (atan (fmod a (asin a))) (/ (* a a) 2))

rewrite10.0ms

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:
1.0ms
(fmod a (asin a))
1.0ms
(fmod a (asin a))
3.0ms
(pow (atan (fmod a (asin a))) (/ (* a a) 2))
4.0ms
(pow (atan (fmod a (asin a))) (/ (* a a) 2))

series40.0ms

Counts
4 → 12
Calls
4 calls:
1.0ms
(fmod a (asin a))
1.0ms
(fmod a (asin a))
18.0ms
(pow (atan (fmod a (asin a))) (/ (* a a) 2))
19.0ms
(pow (atan (fmod a (asin a))) (/ (* a a) 2))

simplify96.0ms

Algorithm
egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 3 (89.0ms)

IterNodesCost
0142532
1529508
22602496
35002490

prune215.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 32.3b

regimes36.0ms

Accuracy

0% (0.0b remaining)

Error of 31.0b against oracle of 31.0b and baseline of 31.0b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0913

end0.0ms

sample6.2s

Algorithm
intervals
Results
2.2s3027×body2560valid
1.8s24141×body80nan
1.1s2520×body1280valid
351.0ms1210×body640valid
125.0ms635×body320valid
44.0ms311×body160valid
27.0ms297×body80valid