Details

Time bar (total: 6.1s)

sample186.0ms

Algorithm
intervals
Results
63.0ms93×body2560valid
54.0ms809×body80nan
33.0ms89×body1280valid
10.0ms43×body640valid
3.0ms19×body320valid
1.0msbody160valid
0.0msbody80valid

simplify51.0ms

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

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 32.3b

Counts
2 → 1

localize8.0ms

Local error

Found 2 expressions with local error:

2.2b
(fmod a (asin a))
28.9b
(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))
16.0ms
(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

prune58.0ms

Filtered
28 candidates to 21 candidates (75.0%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New27128
Fresh000
Picked011
Done000
Total27229

Merged error: 32.1b

Counts
29 → 2

localize10.0ms

Local error

Found 4 expressions with local error:

2.2b
(fmod a (asin a))
2.2b
(fmod a (asin a))
29.2b
(pow (atan (fmod a (asin a))) (/ (* a a) 2))
29.2b
(pow (atan (fmod a (asin a))) (/ (* a a) 2))

rewrite12.0ms

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))

series37.0ms

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))

simplify97.0ms

Algorithm
egg-herbie
Counts
68 → 68
Iterations

Useful iterations: 3 (91.0ms)

IterNodesCost
0137494
1515470
22532458
35001454

prune148.0ms

Filtered
68 candidates to 46 candidates (67.6%)
Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New68068
Fresh000
Picked011
Done011
Total68270

Merged error: 32.1b

Counts
70 → 2

regimes33.0ms

Accuracy

0% (0.0b remaining)

Error of 31.5b against oracle of 31.4b and baseline of 31.5b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0913

end0.0ms

sample5.4s

Algorithm
intervals
Results
2.0s2933×body2560valid
1.5s23780×body80nan
935.0ms2602×body1280valid
295.0ms1233×body640valid
109.0ms621×body320valid
40.0ms332×body160valid
22.0ms279×body80valid