Details

Time bar (total: 17.2s)

sample433.0ms

Algorithm
intervals
Results
152.0ms111×body2560valid
105.0ms762×body80nan
82.0ms71×body1280valid
46.0ms25×body320valid
23.0ms34×body640valid
3.0msbody160valid
1.0msbody80valid

simplify39.0ms

Calls
1 calls:
Slowest
39.0ms
(pow (atan (fmod a (asin a))) (* a a))

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 31.1b

localize29.0ms

Local error

Found 2 expressions with local error:

30.1b
(pow (atan (fmod a (asin a))) (* a a))
2.2b
(fmod a (asin a))

rewrite18.0ms

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
6.0ms
(pow (atan (fmod a (asin a))) (* a a))
0.0ms
(fmod a (asin a))

series21.0ms

Calls
2 calls:
Slowest
19.0ms
(pow (atan (fmod a (asin a))) (* a a))
2.0ms
(fmod a (asin a))

simplify1.1s

Calls
11 calls:
Slowest
429.0ms
(pow (* (cbrt (atan (fmod a (asin a)))) (cbrt (atan (fmod a (asin a))))) (* a a))
394.0ms
(+ (* 1/2 (* (pow a 4) (pow (log (atan (fmod a (asin a)))) 2))) (+ 1 (* (pow a 2) (log (atan (fmod a (asin a)))))))
91.0ms
(pow (sqrt (atan (fmod a (asin a)))) (* a a))
61.0ms
(pow (atan (fmod a (asin a))) (pow a 2))
46.0ms
(pow (atan (fmod a (asin a))) (pow a 2))

prune397.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 31.1b

end0.0ms

sample15.2s

Algorithm
intervals
Results
5.3s3022×body2560valid
4.8s24289×body80nan
2.6s2424×body1280valid
1.3s1235×body640valid
369.0ms632×body320valid
117.0ms348×body160valid
70.0ms339×body80valid