Details

Time bar (total: 14.9s)

sample406.0ms

Algorithm
intervals
Results
151.0ms838×body80nan
111.0ms78×body2560valid
78.0ms96×body1280valid
22.0ms35×body640valid
11.0ms22×body320valid
4.0ms12×body160valid
2.0ms13×body80valid

simplify92.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
92.0ms
(pow (atan (fmod a (asin a))) (* a a))

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 35.3b

localize28.0ms

Local error

Found 2 expressions with local error:

25.3b
(pow (atan (fmod a (asin a))) (* a a))
3.9b
(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))

series34.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
30.0ms
(pow (atan (fmod a (asin a))) (* a a))
3.0ms
(fmod a (asin a))

simplify1.1s

Counts
11 → 30
Calls
11 calls:
Slowest
463.0ms
(+ (* 1/2 (* (pow a 4) (pow (log (atan (fmod a (asin a)))) 2))) (+ 1 (* (pow a 2) (log (atan (fmod a (asin a)))))))
409.0ms
(pow (* (cbrt (atan (fmod a (asin a)))) (cbrt (atan (fmod a (asin a))))) (* a a))
115.0ms
(pow (sqrt (atan (fmod a (asin a)))) (* a a))
58.0ms
(pow (atan (fmod a (asin a))) (pow a 2))
39.0ms
(pow (atan (fmod a (asin a))) (pow a 2))

prune319.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 35.3b

end0.0ms

sample12.8s

Algorithm
intervals
Results
4.0s2950×body2560valid
3.8s24014×body80nan
3.2s2452×body1280valid
750.0ms1274×body640valid
395.0ms675×body320valid
101.0ms344×body160valid
76.0ms305×body80valid