Details

Time bar (total: 15.1s)

sample390.0ms

Algorithm
intervals
Results
154.0ms94×body2560valid
105.0ms715×body80nan
76.0ms93×body1280valid
20.0ms32×body640valid
8.0ms17×body320valid
3.0ms13×body80valid
3.0msbody160valid

simplify42.0ms

Calls
1 calls:
Slowest
41.0ms
(pow (atan (fmod a (asin a))) (* a a))

prune14.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 29.2b

localize20.0ms

Local error

Found 2 expressions with local error:

30.6b
(pow (atan (fmod a (asin a))) (* a a))
1.7b
(fmod a (asin a))

rewrite2.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt pow1 unpow-prod-down *-un-lft-identity add-exp-log add-cube-cbrt
add-cbrt-cube insert-posit16 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))

series17.0ms

Calls
2 calls:
Slowest
15.0ms
(pow (atan (fmod a (asin a))) (* a a))
2.0ms
(fmod a (asin a))

simplify601.0ms

Calls
11 calls:
Slowest
528.0ms
(+ (* 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
(* (log (atan (fmod a (asin a)))) (* a a))
12.0ms
(pow (atan (fmod a (asin a))) (pow a 2))
11.0ms
(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))

prune304.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 29.2b

end0.0ms

sample13.7s

Algorithm
intervals
Results
4.9s3015×body2560valid
4.3s24129×body80nan
2.4s2540×body1280valid
1.1s1204×body640valid
322.0ms600×body320valid
120.0ms304×body160valid
89.0ms337×body80valid