Details

sample406.0ms

Algorithm

intervals

Results

144.0ms	105×	body	2560	valid
121.0ms	634×	body	80	nan
80.0ms	83×	body	1280	valid
21.0ms	33×	body	640	valid
12.0ms	21×	body	320	valid
3.0ms	8×	body	160	valid
1.0ms	6×	body	80	valid

simplify63.0ms

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: 28.2b

localize14.0ms

Local error

Found 2 expressions with local error:

32.8b	(pow (atan (fmod a (asin a))) (* a a))
1.5b	(fmod a (asin a))

rewrite3.0ms

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

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

series25.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

23.0ms	(pow (atan (fmod a (asin a))) (* a a))
2.0ms	(fmod a (asin a))

simplify981.0ms

Counts

11 → 30

Calls

11 calls:

Slowest

408.0ms	(+ (* 1/2 (* (pow a 4) (pow (log (atan (fmod a (asin a)))) 2))) (+ 1 (* (pow a 2) (log (atan (fmod a (asin a)))))))
342.0ms	(pow (* (cbrt (atan (fmod a (asin a)))) (cbrt (atan (fmod a (asin a))))) (* a a))
89.0ms	(pow (sqrt (atan (fmod a (asin a)))) (* a a))
66.0ms	(pow (atan (fmod a (asin a))) (pow a 2))
48.0ms	(pow (atan (fmod a (asin a))) (pow a 2))

prune316.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 28.2b

end0.0ms

sample14.4s

Algorithm

intervals

Results

5.3s	23777×	body	80	nan
4.8s	3018×	body	2560	valid
2.4s	2475×	body	1280	valid
909.0ms	1248×	body	640	valid
281.0ms	647×	body	320	valid
93.0ms	300×	body	160	valid
58.0ms	312×	body	80	valid