Details

Time bar (total: 10.3s)

sample344.0ms

Algorithm
intervals
Results
93.0ms101×body2560valid
64.0ms108×body2560nan
54.0ms584×body80nan
38.0ms75×body1280valid
31.0ms77×body1280nan
17.0ms45×body640valid
9.0ms41×body640nan
5.0ms22×body320valid
3.0msbody5120exit
2.0ms14×body320nan
2.0ms12×body160nan
1.0msbody160valid
1.0msbody80valid

simplify49.0ms

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: 30.9b

Counts
2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

1.9b
(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))

series21.0ms

Counts
2 → 6
Calls
2 calls:
1.0ms
(fmod a (asin a))
19.0ms
(pow (atan (fmod a (asin a))) (* a a))

simplify50.0ms

Algorithm
egg-herbie
Counts
28 → 28
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
096180
1340169
21284169
35001169

prune53.0ms

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: 30.6b

Counts
29 → 2

localize9.0ms

Local error

Found 4 expressions with local error:

1.9b
(fmod a (asin a))
1.9b
(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))

rewrite8.0ms

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))

series36.0ms

Counts
4 → 12
Calls
4 calls:
1.0ms
(fmod a (asin a))
1.0ms
(fmod a (asin a))
16.0ms
(pow (atan (fmod a (asin a))) (/ (* a a) 2))
17.0ms
(pow (atan (fmod a (asin a))) (/ (* a a) 2))

simplify91.0ms

Algorithm
egg-herbie
Counts
68 → 68
Iterations

Useful iterations: 3 (85.0ms)

IterNodesCost
0137494
1515470
22532458
35001454

prune136.0ms

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: 30.6b

Counts
70 → 2

regimes34.0ms

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

sample9.4s

Algorithm
intervals
Results
2.6s3033×body2560valid
1.6s2986×body2560nan
1.5s16064×body80nan
1.2s2485×body1280valid
860.0ms2530×body1280nan
436.0ms1280×body640valid
287.0ms1211×body640nan
150.0ms640×body320valid
110.0ms625×body320nan
78.0ms272×body5120exit
44.0ms277×body160valid
38.0ms304×body160nan
25.0ms285×body80valid

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