Details

Time bar (total: 5.5s)

sample165.0ms

Algorithm
intervals
Results
57.0ms92×body2560valid
42.0ms895×body80nan
27.0ms82×body1280valid
9.0ms41×body640valid
3.0ms17×body320valid
1.0ms15×body80valid
1.0msbody160valid

simplify49.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0105
1175
2405
31045
43285
519065
650025

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 30.9b

localize8.0ms

Local error

Found 2 expressions with local error:

2.4b
(fmod a (asin a))
28.4b
(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
add-cbrt-cube add-log-exp
pow-to-exp pow-unpow pow-pow pow-exp sqr-pow
Counts
2 → 22
Calls
2 calls:
0.0ms
(fmod a (asin a))
3.0ms
(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

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 30.6b

localize11.0ms

Local error

Found 4 expressions with local error:

2.4b
(fmod a (asin a))
2.4b
(fmod a (asin a))
28.7b
(pow (atan (fmod a (asin a))) (/ (* a a) 2))
28.7b
(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
add-cbrt-cube add-log-exp
pow-to-exp pow-pow pow-exp div-inv sqr-pow
Counts
4 → 56
Calls
4 calls:
0.0ms
(fmod a (asin a))
0.0ms
(fmod a (asin a))
4.0ms
(pow (atan (fmod a (asin a))) (/ (* a a) 2))
4.0ms
(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))
17.0ms
(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

prune182.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 30.6b

regimes31.0ms

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

sample4.8s

Algorithm
intervals
Results
1.8s2946×body2560valid
1.1s24416×body80nan
856.0ms2566×body1280valid
269.0ms1266×body640valid
100.0ms642×body320valid
32.0ms286×body160valid
23.0ms294×body80valid