Details

sample420.0ms

Algorithm

intervals

Results

162.0ms	93×	body	2560	valid
116.0ms	781×	body	80	nan
76.0ms	78×	body	1280	valid
32.0ms	49×	body	640	valid
6.0ms	12×	body	320	valid
3.0ms	15×	body	80	valid
3.0ms	9×	body	160	valid

simplify40.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

40.0ms

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

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 30.9b

localize33.0ms

Local error

Found 2 expressions with local error:

28.2b	(pow (atan (fmod a (asin a))) (* a a))
2.4b	(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))

series22.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

20.0ms	(pow (atan (fmod a (asin a))) (* a a))
2.0ms	(fmod a (asin a))

simplify964.0ms

Counts

11 → 30

Calls

11 calls:

Slowest

388.0ms	(+ (* 1/2 (* (pow a 4) (pow (log (atan (fmod a (asin a)))) 2))) (+ 1 (* (pow a 2) (log (atan (fmod a (asin a)))))))
348.0ms	(pow (* (cbrt (atan (fmod a (asin a)))) (cbrt (atan (fmod a (asin a))))) (* a a))
104.0ms	(pow (sqrt (atan (fmod a (asin a)))) (* a a))
51.0ms	(pow (atan (fmod a (asin a))) (pow a 2))
38.0ms	(pow (atan (fmod a (asin a))) (pow a 2))

prune299.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 30.9b

end0.0ms

sample13.1s

Algorithm

intervals

Results

4.4s	23991×	body	80	nan
4.3s	3101×	body	2560	valid
2.6s	2507×	body	1280	valid
837.0ms	1174×	body	640	valid
278.0ms	614×	body	320	valid
122.0ms	311×	body	160	valid
57.0ms	293×	body	80	valid