Details

Time bar (total: 6.6s)

sample196.0ms

Algorithm
intervals
Results
70.0ms93×body2560valid
54.0ms809×body80nan
35.0ms89×body1280valid
11.0ms43×body640valid
3.0ms19×body320valid
1.0msbody160valid
0.0msbody80valid

simplify54.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0105
1175
2405
31045
43285
519065
650025

prune3.0ms

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))

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))

simplify58.0ms

Algorithm
egg-herbie
Counts
32 → 32
Iterations

Useful iterations: 3 (54.0ms)

IterNodesCost
0101197
1351186
21351186
35001185

prune81.0ms

Filtered
32 candidates to 25 candidates (78.1%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New31132
Fresh000
Picked011
Done000
Total31233

Merged error: 32.1b

Counts
33 → 2

localize15.0ms

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))

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))

series56.0ms

Counts
4 → 12
Calls
4 calls:
1.0ms
(fmod a (asin a))
1.0ms
(fmod a (asin a))
33.0ms
(pow (atan (fmod a (asin a))) (/ (* a a) 2))
20.0ms
(pow (atan (fmod a (asin a))) (/ (* a a) 2))

simplify110.0ms

Algorithm
egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 3 (102.0ms)

IterNodesCost
0142532
1529508
22602496
35002490

prune206.0ms

Filtered
76 candidates to 54 candidates (71.1%)
Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New76076
Fresh000
Picked011
Done011
Total76278

Merged error: 32.1b

Counts
78 → 2

regimes36.0ms

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

sample5.8s

Algorithm
intervals
Results
2.1s2933×body2560valid
1.6s23780×body80nan
994.0ms2602×body1280valid
314.0ms1233×body640valid
113.0ms621×body320valid
43.0ms332×body160valid
23.0ms279×body80valid