Details

Time bar (total: 23.1s)

sample417.0ms

Algorithm
intervals
Results
137.0ms103×body2560valid
115.0ms773×body80nan
67.0ms81×body1280valid
52.0ms31×body640valid
9.0ms20×body320valid
4.0ms12×body160valid
2.0msbody80valid

simplify2.0s

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

localize32.0ms

Local error

Found 2 expressions with local error:

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

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt pow1 unpow-prod-down *-un-lft-identity add-exp-log add-cube-cbrt
add-cbrt-cube insert-posit16 add-log-exp
pow-to-exp pow-unpow pow-pow pow-exp sqr-pow
Counts
2 → 24
Calls
2 calls:
0.0ms
(fmod a (asin a))
6.0ms
(pow (atan (fmod a (asin a))) (* a a))

series26.0ms

Counts
2 → 6
Calls
2 calls:
2.0ms
(fmod a (asin a))
24.0ms
(pow (atan (fmod a (asin a))) (* a a))

simplify4.5s

Counts
30 → 30
Iterations
IterNodes
56481
41773
3633
2246
1108
048

prune210.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 30.9b

localize25.0ms

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))

rewrite12.0ms

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
add-cbrt-cube insert-posit16 add-log-exp
pow-to-exp pow-pow pow-exp div-inv sqr-pow
Counts
4 → 60
Calls
4 calls:
0.0ms
(fmod a (asin a))
0.0ms
(fmod a (asin a))
5.0ms
(pow (atan (fmod a (asin a))) (/ (* a a) 2))
5.0ms
(pow (atan (fmod a (asin a))) (/ (* a a) 2))

series48.0ms

Counts
4 → 12
Calls
4 calls:
2.0ms
(fmod a (asin a))
2.0ms
(fmod a (asin a))
20.0ms
(pow (atan (fmod a (asin a))) (/ (* a a) 2))
25.0ms
(pow (atan (fmod a (asin a))) (/ (* a a) 2))

simplify1.4s

Counts
72 → 72
Iterations
IterNodes
42922
31104
2384
1159
066

prune718.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 30.9b

regimes83.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations
IterNodes
19
09

end0.0ms

sample13.6s

Algorithm
intervals
Results
5.1s3060×body2560valid
4.4s23742×body80nan
2.4s2545×body1280valid
791.0ms1237×body640valid
253.0ms578×body320valid
96.0ms298×body160valid
53.0ms282×body80valid