Details

Time bar (total: 6.1s)

sample183.0ms

Algorithm
intervals
Results
65.0ms96×body2560valid
53.0ms848×body80nan
31.0ms87×body1280valid
9.0ms38×body640valid
3.0ms16×body320valid
1.0ms11×body160valid
1.0msbody80valid

simplify48.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0105
1175
2405
31045
43285
519065
650025

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 29.9b

localize8.0ms

Local error

Found 2 expressions with local error:

2.4b
(fmod a (asin a))
30.4b
(pow (atan (fmod a (asin a))) (* a a))

rewrite3.0ms

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:
1.0ms
(fmod a (asin a))
2.0ms
(pow (atan (fmod a (asin a))) (* a a))

series18.0ms

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

simplify52.0ms

Algorithm
egg-herbie
Counts
28 → 28
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
096180
1340169
21284169
35001169

prune74.0ms

Filtered
28 candidates to 21 candidates (75.0%)
Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 29.4b

localize10.0ms

Local error

Found 4 expressions with local error:

2.4b
(fmod a (asin a))
2.4b
(fmod a (asin a))
30.6b
(pow (atan (fmod a (asin a))) (/ (* a a) 2))
30.6b
(pow (atan (fmod a (asin a))) (/ (* a a) 2))

rewrite9.0ms

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
add-cbrt-cube add-log-exp
pow-to-exp pow-pow pow-exp div-inv sqr-pow
Counts
4 → 56
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))
3.0ms
(pow (atan (fmod a (asin a))) (/ (* a a) 2))

series38.0ms

Counts
4 → 12
Calls
4 calls:
1.0ms
(fmod a (asin a))
1.0ms
(fmod a (asin a))
17.0ms
(pow (atan (fmod a (asin a))) (/ (* a a) 2))
18.0ms
(pow (atan (fmod a (asin a))) (/ (* a a) 2))

simplify91.0ms

Algorithm
egg-herbie
Counts
68 → 68
Iterations

Useful iterations: 3 (86.0ms)

IterNodesCost
0137494
1515470
22532458
35001454

prune172.0ms

Filtered
68 candidates to 46 candidates (67.6%)
Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 29.4b

regimes32.0ms

Accuracy

0% (0.0b remaining)

Error of 30.3b against oracle of 30.3b and baseline of 30.3b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0913

end0.0ms

sample5.4s

Algorithm
intervals
Results
2.0s3045×body2560valid
1.5s24086×body80nan
926.0ms2525×body1280valid
289.0ms1217×body640valid
103.0ms595×body320valid
37.0ms301×body160valid
25.0ms317×body80valid