Details

Time bar (total: 15.6s)

sample352.0ms

Algorithm
intervals
Results
121.0ms101×body2560valid
115.0ms736×body80nan
54.0ms69×body1280valid
27.0ms49×body640valid
9.0ms22×body320valid
2.0msbody160valid
1.0msbody80valid

simplify9.0ms

Calls
1 calls:
Slowest
9.0ms
(pow (atan (fmod a (asin a))) (* a a))

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 31.1b

localize47.0ms

Local error

Found 2 expressions with local error:

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

rewrite3.0ms

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
Calls
2 calls:
Slowest
2.0ms
(pow (atan (fmod a (asin a))) (* a a))
0.0ms
(fmod a (asin a))

series32.0ms

Calls
2 calls:
Slowest
29.0ms
(pow (atan (fmod a (asin a))) (* a a))
3.0ms
(fmod a (asin a))

simplify242.0ms

Calls
11 calls:
Slowest
175.0ms
(+ (* 1/2 (* (pow a 4) (pow (log (atan (fmod a (asin a)))) 2))) (+ 1 (* (pow a 2) (log (atan (fmod a (asin a)))))))
14.0ms
(* (log (atan (fmod a (asin a)))) (* a a))
7.0ms
(pow 1 (* a a))
7.0ms
(pow (* (cbrt (atan (fmod a (asin a)))) (cbrt (atan (fmod a (asin a))))) (* a a))
7.0ms
(pow (atan (fmod a (asin a))) (pow a 2))

prune377.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 31.1b

end0.0ms

sample14.5s

Algorithm
intervals
Results
5.4s3096×body2560valid
4.6s24268×body80nan
2.6s2454×body1280valid
788.0ms1214×body640valid
310.0ms610×body320valid
131.0ms321×body160valid
93.0ms305×body80valid