Details

Time bar (total: 16.6s)

sample479.0ms

Algorithm
intervals
Results
185.0ms94×body2560valid
123.0ms760×body80nan
91.0ms70×body1280valid
35.0ms49×body640valid
8.0ms19×body320valid
4.0ms13×body160valid
2.0ms11×body80valid

simplify59.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
58.0ms
(pow (atan (fmod a (asin a))) (* a a))

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 31.1b

localize30.0ms

Local error

Found 2 expressions with local error:

28.4b
(pow (atan (fmod a (asin a))) (* a a))
2.7b
(fmod a (asin a))

rewrite7.0ms

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

series53.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
50.0ms
(pow (atan (fmod a (asin a))) (* a a))
3.0ms
(fmod a (asin a))

simplify991.0ms

Counts
11 → 30
Calls
11 calls:
Slowest
368.0ms
(pow (* (cbrt (atan (fmod a (asin a)))) (cbrt (atan (fmod a (asin a))))) (* a a))
360.0ms
(+ (* 1/2 (* (pow a 4) (pow (log (atan (fmod a (asin a)))) 2))) (+ 1 (* (pow a 2) (log (atan (fmod a (asin a)))))))
117.0ms
(pow (sqrt (atan (fmod a (asin a)))) (* a a))
52.0ms
(pow (atan (fmod a (asin a))) (pow a 2))
45.0ms
(pow (atan (fmod a (asin a))) (pow a 2))

prune305.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 31.1b

end0.0ms

sample14.6s

Algorithm
intervals
Results
5.5s24056×body80nan
4.5s3010×body2560valid
2.6s2562×body1280valid
840.0ms1235×body640valid
299.0ms547×body320valid
105.0ms330×body160valid
69.0ms316×body80valid