Details

Time bar (total: 15.5s)

sample379.0ms

Algorithm
intervals
Results
167.0ms110×body2560valid
104.0ms717×body80nan
50.0ms67×body1280valid
26.0ms44×body640valid
8.0ms19×body320valid
2.0ms12×body80valid
1.0msbody160valid

simplify57.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
56.0ms
(pow (atan (fmod a (asin a))) (* a a))

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 26.0b

localize20.0ms

Local error

Found 2 expressions with local error:

33.3b
(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 sqr-pow
Counts
2 → 24
Calls
2 calls:
Slowest
3.0ms
(pow (atan (fmod a (asin a))) (* a a))
0.0ms
(fmod a (asin a))

series31.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
29.0ms
(pow (atan (fmod a (asin a))) (* a a))
2.0ms
(fmod a (asin a))

simplify1.0s

Counts
11 → 30
Calls
11 calls:
Slowest
428.0ms
(+ (* 1/2 (* (pow a 4) (pow (log (atan (fmod a (asin a)))) 2))) (+ 1 (* (pow a 2) (log (atan (fmod a (asin a)))))))
363.0ms
(pow (* (cbrt (atan (fmod a (asin a)))) (cbrt (atan (fmod a (asin a))))) (* a a))
96.0ms
(pow (sqrt (atan (fmod a (asin a)))) (* a a))
41.0ms
(pow (atan (fmod a (asin a))) (pow a 2))
35.0ms
(pow (atan (fmod a (asin a))) (pow a 2))

prune362.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 26.0b

end0.0ms

sample13.6s

Algorithm
intervals
Results
4.8s3033×body2560valid
4.2s23852×body80nan
2.8s2512×body1280valid
808.0ms1258×body640valid
251.0ms586×body320valid
92.0ms291×body160valid
92.0ms320×body80valid