Details

Time bar (total: 15.3s)Debug log

sample421.0ms

Algorithm
intervals
Results
152.0ms834×body80nan
138.0ms93×body2560valid
62.0ms73×body1280valid
25.0ms41×body640valid
14.0ms31×body320valid
3.0ms8×body160valid
2.0ms10×body80valid

simplify2.0ms

Calls
1 calls:
Slowest
2.0ms
(pow (atan (fmod a (asin a))) (* a a))

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 33.3b

localize18.0ms

Local error

Found 2 expressions with local error:

27.2b
(pow (atan (fmod a (asin a))) (* a a))
2.4b
(fmod a (asin a))

rewrite4.0ms

Algorithm
rewrite-expression-head
Rules
3×add-cube-cbrt
3×add-exp-log
3×*-un-lft-identity
3×unpow-prod-down
3×pow1
3×add-sqr-sqrt
2×add-log-exp
2×add-cbrt-cube
1×pow-exp
1×pow-pow
1×pow-unpow
1×pow-to-exp
Calls
2 calls:
Slowest
3.0ms
(pow (atan (fmod a (asin a))) (* a a))
0.0ms
(fmod a (asin a))

series22.0ms

Calls
2 calls:
Slowest
19.0ms
(pow (atan (fmod a (asin a))) (* a a))
3.0ms
(fmod a (asin a))

simplify76.0ms

Calls
11 calls:
Slowest
50.0ms
(+ (* 1/2 (* (pow a 4) (pow (log (atan (fmod a (asin a)))) 2))) (+ 1 (* (pow a 2) (log (atan (fmod a (asin a)))))))
8.0ms
(* (log (atan (fmod a (asin a)))) (* a a))
3.0ms
(pow 1 (* a a))
3.0ms
(pow (atan (fmod a (asin a))) (pow a 2))
3.0ms
(pow (* (cbrt (atan (fmod a (asin a)))) (cbrt (atan (fmod a (asin a))))) (* a a))

prune240.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 33.3b

end0.0ms

sample14.5s

Algorithm
intervals
Results
5.0s24569×body80nan
4.4s2996×body2560valid
2.5s2470×body1280valid
1.0s1299×body640valid
758.0ms649×body320valid
193.0ms302×body160valid
55.0ms284×body80valid