Details

Time bar (total: 13.6s)

sample290.0ms

Algorithm
intervals
Results
101.0ms102×body2560valid
80.0ms775×body80nan
64.0ms74×body1280valid
21.0ms47×body640valid
6.0ms20×body320valid
1.0msbody80valid
1.0msbody160valid

simplify4.0ms

Calls
1 calls:
Slowest
4.0ms
(pow (atan (fmod a (asin a))) (* a a))

prune30.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 31.9b

localize20.0ms

Local error

Found 2 expressions with local error:

28.7b
(pow (atan (fmod a (asin a))) (* a a))
1.0b
(fmod a (asin a))

rewrite4.0ms

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
3.0ms
(pow (atan (fmod a (asin a))) (* a a))
0.0ms
(fmod a (asin a))

series22.0ms

Calls
2 calls:
Slowest
20.0ms
(pow (atan (fmod a (asin a))) (* a a))
2.0ms
(fmod a (asin a))

simplify129.0ms

Calls
11 calls:
Slowest
80.0ms
(+ (* 1/2 (* (pow a 4) (pow (log (atan (fmod a (asin a)))) 2))) (+ 1 (* (pow a 2) (log (atan (fmod a (asin a)))))))
10.0ms
(* (log (atan (fmod a (asin a)))) (* a a))
7.0ms
(pow (atan (fmod a (asin a))) (pow a 2))
6.0ms
(pow (* (cbrt (atan (fmod a (asin a)))) (cbrt (atan (fmod a (asin a))))) (* a a))
6.0ms
(pow (atan (fmod a (asin a))) (pow a 2))

prune254.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 31.9b

end0.0ms

sample12.9s

Algorithm
intervals
Results
4.7s3037×body2560valid
3.8s23860×body80nan
2.6s2567×body1280valid
814.0ms1179×body640valid
282.0ms618×body320valid
75.0ms269×body160valid
61.0ms330×body80valid