Details

Time bar (total: 5.5s)

sample161.0ms

Algorithm
intervals
Results
58.0ms92×body2560valid
38.0ms895×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

localize11.0ms

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
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:
0.0ms
(fmod a (asin a))
3.0ms
(pow (atan (fmod a (asin a))) (* a a))

series16.0ms

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

simplify53.0ms

Algorithm
egg-herbie
Counts
32 → 32
Iterations

Useful iterations: 3 (50.0ms)

IterNodesCost
0101197
1351186
21351186
35001185

prune79.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 30.6b

localize10.0ms

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))

rewrite9.0ms

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:
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))

series35.0ms

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))

simplify92.0ms

Algorithm
egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 3 (86.0ms)

IterNodesCost
0142532
1529508
22602496
35002490

prune192.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 30.6b

regimes32.0ms

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
847.0ms2566×body1280valid
273.0ms1266×body640valid
99.0ms642×body320valid
32.0ms286×body160valid
23.0ms294×body80valid