Details

Time bar (total: 17.0s)

sample497.0ms

Algorithm
intervals
Results
160.0ms101×body2560valid
126.0ms736×body80nan
123.0ms69×body1280valid
42.0ms49×body640valid
12.0ms22×body320valid
3.0msbody160valid
2.0msbody80valid

simplify58.0ms

Calls
1 calls:
Slowest
58.0ms
(pow (atan (fmod a (asin a))) (* a a))

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 31.1b

localize24.0ms

Local error

Found 2 expressions with local error:

29.2b
(pow (atan (fmod a (asin a))) (* a a))
1.2b
(fmod a (asin a))

rewrite16.0ms

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
Calls
2 calls:
Slowest
16.0ms
(pow (atan (fmod a (asin a))) (* a a))
0.0ms
(fmod a (asin a))

series20.0ms

Calls
2 calls:
Slowest
18.0ms
(pow (atan (fmod a (asin a))) (* a a))
2.0ms
(fmod a (asin a))

simplify1.2s

Calls
11 calls:
Slowest
510.0ms
(+ (* 1/2 (* (pow a 4) (pow (log (atan (fmod a (asin a)))) 2))) (+ 1 (* (pow a 2) (log (atan (fmod a (asin a)))))))
401.0ms
(pow (* (cbrt (atan (fmod a (asin a)))) (cbrt (atan (fmod a (asin a))))) (* a a))
105.0ms
(pow (sqrt (atan (fmod a (asin a)))) (* a a))
66.0ms
(pow (atan (fmod a (asin a))) (pow a 2))
49.0ms
(pow (atan (fmod a (asin a))) (pow a 2))

prune351.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 31.1b

end0.0ms

sample14.8s

Algorithm
intervals
Results
4.8s3096×body2560valid
4.1s24268×body80nan
3.9s2454×body1280valid
924.0ms1214×body640valid
343.0ms610×body320valid
105.0ms321×body160valid
62.0ms305×body80valid