Details

Time bar (total: 10.4s)

sample306.0ms

Algorithm
intervals
Results
74.0ms92×body2560valid
51.0ms545×body80nan
45.0ms89×body2560nan
42.0ms84×body1280valid
29.0ms78×body1280nan
13.0ms39×body640valid
10.0ms39×body640nan
5.0ms18×body5120exit
5.0ms21×body320valid
3.0ms16×body320nan
1.0msbody160valid
1.0msbody160nan
1.0ms11×body80valid

simplify50.0ms

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: 32.1b

Counts
2 → 1

localize8.0ms

Local error

Found 2 expressions with local error:

1.9b
(fmod a (asin a))
28.2b
(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))

series17.0ms

Counts
2 → 6
Calls
2 calls:
1.0ms
(fmod a (asin a))
15.0ms
(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

prune57.0ms

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: 31.9b

Counts
29 → 2

localize10.0ms

Local error

Found 4 expressions with local error:

1.9b
(fmod a (asin a))
1.9b
(fmod a (asin a))
28.2b
(pow (atan (fmod a (asin a))) (/ (* a a) 2))
28.2b
(pow (atan (fmod a (asin a))) (/ (* a a) 2))

rewrite11.0ms

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))
6.0ms
(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))
18.0ms
(pow (atan (fmod a (asin a))) (/ (* a a) 2))
18.0ms
(pow (atan (fmod a (asin a))) (/ (* a a) 2))

simplify95.0ms

Algorithm
egg-herbie
Counts
68 → 68
Iterations

Useful iterations: 3 (89.0ms)

IterNodesCost
0137494
1515470
22532458
35001454

prune144.0ms

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: 31.9b

Counts
70 → 2

regimes33.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0913

end0.0ms

sample9.5s

Algorithm
intervals
Results
2.5s2977×body2560valid
1.6s3034×body2560nan
1.5s16278×body80nan
1.3s2488×body1280valid
837.0ms2461×body1280nan
440.0ms1281×body640valid
318.0ms1322×body640nan
159.0ms660×body320valid
112.0ms612×body320nan
94.0ms324×body5120exit
55.0ms306×body160valid
45.0ms353×body160nan
26.0ms288×body80valid

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