Details

Time bar (total: 13.0s)

sample365.0ms

Algorithm
intervals
Results
123.0ms101×body2560valid
94.0ms736×body80nan
87.0ms69×body1280valid
28.0ms49×body640valid
9.0ms22×body320valid
2.0msbody160valid
1.0msbody80valid

simplify5.0ms

Calls
1 calls:
Slowest
5.0ms
(pow (atan (fmod a (asin a))) (* a a))

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 31.1b

localize43.0ms

Local error

Found 2 expressions with local error:

29.2b
(pow (atan (fmod a (asin a))) (* a a))
1.2b
(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
4.0ms
(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))

simplify225.0ms

Calls
11 calls:
Slowest
156.0ms
(+ (* 1/2 (* (pow a 4) (pow (log (atan (fmod a (asin a)))) 2))) (+ 1 (* (pow a 2) (log (atan (fmod a (asin a)))))))
11.0ms
(pow (atan (fmod a (asin a))) (pow a 2))
10.0ms
(pow (atan (fmod a (asin a))) (pow a 2))
10.0ms
(pow 1 (* a a))
9.0ms
(* (log (atan (fmod a (asin a)))) (* a a))

prune278.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 31.1b

end0.0ms

sample12.0s

Algorithm
intervals
Results
4.3s3096×body2560valid
3.5s24268×body80nan
2.7s2454×body1280valid
732.0ms1214×body640valid
288.0ms610×body320valid
111.0ms321×body160valid
50.0ms305×body80valid