Details

sample481.0ms

Algorithm

intervals

Results

186.0ms	92×	body	2560	valid
142.0ms	827×	body	80	nan
76.0ms	76×	body	1280	valid
34.0ms	48×	body	640	valid
9.0ms	16×	body	320	valid
5.0ms	14×	body	160	valid
2.0ms	10×	body	80	valid

simplify62.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

62.0ms

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

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 33.1b

localize25.0ms

Local error

Found 2 expressions with local error:

27.7b	(pow (atan (fmod a (asin a))) (* a a))
2.7b	(fmod a (asin a))

rewrite8.0ms

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

7.0ms	(pow (atan (fmod a (asin a))) (* a a))
0.0ms	(fmod a (asin a))

series20.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

19.0ms	(pow (atan (fmod a (asin a))) (* a a))
2.0ms	(fmod a (asin a))

simplify1.2s

Counts

11 → 34

Calls

11 calls:

Slowest

447.0ms	(pow (* (cbrt (atan (fmod a (asin a)))) (cbrt (atan (fmod a (asin a))))) (* a a))
442.0ms	(+ (* 1/2 (* (pow a 4) (pow (log (atan (fmod a (asin a)))) 2))) (+ 1 (* (pow a 2) (log (atan (fmod a (asin a)))))))
123.0ms	(pow (sqrt (atan (fmod a (asin a)))) (* a a))
58.0ms	(pow (atan (fmod a (asin a))) (pow a 2))
43.0ms	(pow (atan (fmod a (asin a))) (pow a 2))

prune371.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 33.1b

end0.0ms

sample14.9s

Algorithm

intervals

Results

5.3s	3068×	body	2560	valid
4.7s	23734×	body	80	nan
2.5s	2480×	body	1280	valid
821.0ms	1213×	body	640	valid
533.0ms	304×	body	80	valid
433.0ms	630×	body	320	valid
106.0ms	305×	body	160	valid