Details

Time bar (total: 27.4s)

sample440.0ms

Algorithm
intervals
Results
152.0ms773×body80nan
149.0ms103×body2560valid
74.0ms81×body1280valid
19.0ms31×body640valid
9.0ms20×body320valid
5.0ms12×body160valid
2.0msbody80valid

simplify1.7s

Counts
1 → 1
Iterations
IterNodes
72330
6670
5239
4101
341
217
110
06

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 31.4b

localize30.0ms

Local error

Found 2 expressions with local error:

2.2b
(fmod a (asin a))
29.2b
(pow (atan (fmod a (asin a))) (* a a))

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt pow1 unpow-prod-down *-un-lft-identity add-exp-log add-cube-cbrt
expm1-log1p-u add-cbrt-cube insert-posit16 log1p-expm1-u add-log-exp
pow-to-exp pow-unpow pow-pow pow-exp sqr-pow
Counts
2 → 28
Calls
2 calls:
1.0ms
(fmod a (asin a))
7.0ms
(pow (atan (fmod a (asin a))) (* a a))

series44.0ms

Counts
2 → 6
Calls
2 calls:
3.0ms
(fmod a (asin a))
41.0ms
(pow (atan (fmod a (asin a))) (* a a))

simplify7.3s

Counts
34 → 34
Iterations
IterNodes
57059
41802
3688
2267
1114
052

prune331.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 30.9b

localize27.0ms

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))

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
14×pow-unpow
10×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
pow1 unpow-prod-down times-frac add-exp-log
expm1-log1p-u add-cbrt-cube insert-posit16 log1p-expm1-u add-log-exp
pow-to-exp pow-pow pow-exp div-inv sqr-pow
Counts
4 → 68
Calls
4 calls:
0.0ms
(fmod a (asin a))
0.0ms
(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))

series45.0ms

Counts
4 → 12
Calls
4 calls:
2.0ms
(fmod a (asin a))
2.0ms
(fmod a (asin a))
21.0ms
(pow (atan (fmod a (asin a))) (/ (* a a) 2))
20.0ms
(pow (atan (fmod a (asin a))) (/ (* a a) 2))

simplify2.3s

Counts
80 → 80
Iterations
IterNodes
43576
31235
2393
1164
070

prune883.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 30.9b

regimes89.0ms

Accuracy

0% (0.0b remaining)

Error of 30.7b against oracle of 30.7b and baseline of 30.7b

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
19
09

end0.0ms

sample14.1s

Algorithm
intervals
Results
4.7s3060×body2560valid
3.8s23742×body80nan
2.8s2545×body1280valid
1.6s1237×body640valid
308.0ms578×body320valid
113.0ms282×body80valid
90.0ms298×body160valid