Details

sample483.0ms

Algorithm

intervals

Results

153.0ms	94×	body	2560	valid
128.0ms	760×	body	80	nan
112.0ms	70×	body	1280	valid
36.0ms	49×	body	640	valid
14.0ms	19×	body	320	valid
4.0ms	13×	body	160	valid
3.0ms	11×	body	80	valid

simplify58.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

58.0ms

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

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 31.1b

localize33.0ms

Local error

Found 2 expressions with local error:

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

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-sqr-sqrt` `pow1` `unpow-prod-down` `*-un-lft-identity` `add-exp-log` `add-cube-cbrt`
2×	`expm1-log1p-u` `add-cbrt-cube` `insert-posit16` `log1p-expm1-u` `add-log-exp`
1×	`pow-to-exp` `pow-unpow` `pow-pow` `pow-exp` `sqr-pow`

Counts

2 → 28

Calls

2 calls:

Slowest

3.0ms	(pow (atan (fmod a (asin a))) (* a a))
0.0ms	(fmod a (asin a))

series23.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

20.0ms	(pow (atan (fmod a (asin a))) (* a a))
3.0ms	(fmod a (asin a))

simplify1.5s

Counts

11 → 34

Calls

11 calls:

Slowest

781.0ms	(pow (* (cbrt (atan (fmod a (asin a)))) (cbrt (atan (fmod a (asin a))))) (* a a))
517.0ms	(+ (* 1/2 (* (pow a 4) (pow (log (atan (fmod a (asin a)))) 2))) (+ 1 (* (pow a 2) (log (atan (fmod a (asin a)))))))
91.0ms	(pow (sqrt (atan (fmod a (asin a)))) (* a a))
69.0ms	(pow (atan (fmod a (asin a))) (pow a 2))
43.0ms	(pow (atan (fmod a (asin a))) (pow a 2))

prune378.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 31.1b

end0.0ms

sample15.2s

Algorithm

intervals

Results

4.8s	24056×	body	80	nan
4.6s	3010×	body	2560	valid
3.6s	2562×	body	1280	valid
913.0ms	1235×	body	640	valid
313.0ms	547×	body	320	valid
105.0ms	330×	body	160	valid
65.0ms	316×	body	80	valid