Details

Time bar (total: 16.4s)

sample457.0ms

Algorithm
intervals
Results
171.0ms780×body80nan
150.0ms101×body2560valid
74.0ms87×body1280valid
18.0ms29×body640valid
8.0ms19×body320valid
3.0msbody160valid
2.0ms11×body80valid

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: 26.7b

localize29.0ms

Local error

Found 2 expressions with local error:

33.3b
(pow (atan (fmod a (asin a))) (* a a))
2.2b
(fmod a (asin a))

rewrite6.0ms

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
4.0ms
(pow (atan (fmod a (asin a))) (* a a))
1.0ms
(fmod a (asin a))

series37.0ms

Calls
2 calls:
Slowest
34.0ms
(pow (atan (fmod a (asin a))) (* a a))
3.0ms
(fmod a (asin a))

simplify269.0ms

Calls
11 calls:
Slowest
191.0ms
(+ (* 1/2 (* (pow a 4) (pow (log (atan (fmod a (asin a)))) 2))) (+ 1 (* (pow a 2) (log (atan (fmod a (asin a)))))))
18.0ms
(pow (sqrt (atan (fmod a (asin a)))) (* a a))
13.0ms
(pow 1 (* a a))
10.0ms
(* (log (atan (fmod a (asin a)))) (* a a))
10.0ms
(pow (atan (fmod a (asin a))) (pow a 2))

prune361.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 26.7b

end0.0ms

sample15.2s

Algorithm
intervals
Results
5.3s3064×body2560valid
4.2s24161×body80nan
3.2s2555×body1280valid
1.4s1211×body640valid
335.0ms632×body320valid
120.0ms283×body160valid
53.0ms255×body80valid