Details

Time bar (total: 16.7s)

sample420.0ms

Algorithm
intervals
Results
168.0ms102×body2560valid
120.0ms775×body80nan
64.0ms74×body1280valid
30.0ms47×body640valid
9.0ms20×body320valid
2.0msbody160valid
1.0msbody80valid

simplify10.0ms

Calls
1 calls:
Slowest
10.0ms
(pow (atan (fmod a (asin a))) (* a a))

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 31.9b

localize14.0ms

Local error

Found 2 expressions with local error:

28.7b
(pow (atan (fmod a (asin a))) (* a a))
1.0b
(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
3.0ms
(pow (atan (fmod a (asin a))) (* a a))
0.0ms
(fmod a (asin a))

series23.0ms

Calls
2 calls:
Slowest
21.0ms
(pow (atan (fmod a (asin a))) (* a a))
2.0ms
(fmod a (asin a))

simplify235.0ms

Calls
11 calls:
Slowest
154.0ms
(+ (* 1/2 (* (pow a 4) (pow (log (atan (fmod a (asin a)))) 2))) (+ 1 (* (pow a 2) (log (atan (fmod a (asin a)))))))
20.0ms
(pow (* (cbrt (atan (fmod a (asin a)))) (cbrt (atan (fmod a (asin a))))) (* a a))
11.0ms
(* (log (atan (fmod a (asin a)))) (* a a))
10.0ms
(pow (sqrt (atan (fmod a (asin a)))) (* a a))
7.0ms
(pow 1 (* a a))

prune355.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 31.9b

end0.0ms

sample15.6s

Algorithm
intervals
Results
5.3s23860×body80nan
4.8s3037×body2560valid
3.4s2567×body1280valid
906.0ms1179×body640valid
340.0ms618×body320valid
135.0ms269×body160valid
103.0ms330×body80valid