Details

sample361.0ms

Algorithm

intervals

Results

122.0ms	732×	body	80	nan
118.0ms	100×	body	2560	valid
61.0ms	73×	body	1280	valid
19.0ms	29×	body	640	valid
14.0ms	32×	body	320	valid
3.0ms	10×	body	160	valid
3.0ms	12×	body	80	valid

simplify402.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

402.0ms

(pow (atan (fmod a (asin a))) (* a a))

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 29.9b

localize14.0ms

Local error

Found 2 expressions with local error:

29.9b	(pow (atan (fmod a (asin a))) (* a a))
2.4b	(fmod a (asin a))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-sqr-sqrt` `pow1` `unpow-prod-down` `*-un-lft-identity` `add-exp-log` `add-cube-cbrt`
2×	`add-cbrt-cube` `insert-posit16` `add-log-exp`
1×	`pow-to-exp` `pow-unpow` `pow-pow` `pow-exp` `sqr-pow`

Counts

2 → 24

Calls

2 calls:

Slowest

5.0ms	(pow (atan (fmod a (asin a))) (* a a))
0.0ms	(fmod a (asin a))

series20.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

18.0ms	(pow (atan (fmod a (asin a))) (* a a))
2.0ms	(fmod a (asin a))

simplify1.0s

Counts

11 → 30

Calls

11 calls:

Slowest

422.0ms	(+ (* 1/2 (* (pow a 4) (pow (log (atan (fmod a (asin a)))) 2))) (+ 1 (* (pow a 2) (log (atan (fmod a (asin a)))))))
351.0ms	(pow (* (cbrt (atan (fmod a (asin a)))) (cbrt (atan (fmod a (asin a))))) (* a a))
141.0ms	(pow (sqrt (atan (fmod a (asin a)))) (* a a))
59.0ms	(pow (atan (fmod a (asin a))) (pow a 2))
37.0ms	(pow (atan (fmod a (asin a))) (pow a 2))

prune306.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 29.9b

end0.0ms

sample13.9s

Algorithm

intervals

Results

5.0s	3004×	body	2560	valid
4.6s	23745×	body	80	nan
2.3s	2457×	body	1280	valid
875.0ms	1281×	body	640	valid
305.0ms	642×	body	320	valid
228.0ms	316×	body	160	valid
57.0ms	300×	body	80	valid