Details

Time bar (total: 15.4s)

sample355.0ms

Algorithm
intervals
Results
112.0ms87×body2560valid
96.0ms745×body80nan
66.0ms82×body1280valid
29.0ms19×body320valid
25.0ms44×body640valid
4.0ms14×body160valid
2.0ms10×body80valid

simplify57.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
57.0ms
(pow (atan (fmod a (asin a))) (* a a))

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 34.5b

localize14.0ms

Local error

Found 2 expressions with local error:

25.8b
(pow (atan (fmod a (asin a))) (* a a))
1.9b
(fmod a (asin a))

rewrite3.0ms

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))

series18.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
16.0ms
(pow (atan (fmod a (asin a))) (* a a))
2.0ms
(fmod a (asin a))

simplify918.0ms

Counts
11 → 30
Calls
11 calls:
Slowest
343.0ms
(pow (* (cbrt (atan (fmod a (asin a)))) (cbrt (atan (fmod a (asin a))))) (* a a))
332.0ms
(+ (* 1/2 (* (pow a 4) (pow (log (atan (fmod a (asin a)))) 2))) (+ 1 (* (pow a 2) (log (atan (fmod a (asin a)))))))
110.0ms
(pow (sqrt (atan (fmod a (asin a)))) (* a a))
51.0ms
(pow (atan (fmod a (asin a))) (pow a 2))
49.0ms
(pow (atan (fmod a (asin a))) (pow a 2))

prune309.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 34.5b

end0.0ms

sample13.8s

Algorithm
intervals
Results
4.8s24001×body80nan
4.5s2954×body2560valid
2.6s2507×body1280valid
824.0ms1254×body640valid
306.0ms635×body320valid
102.0ms339×body160valid
58.0ms311×body80valid