Details

sample365.0ms

Algorithm

intervals

Results

163.0ms	110×	body	2560	valid
94.0ms	717×	body	80	nan
48.0ms	67×	body	1280	valid
25.0ms	44×	body	640	valid
8.0ms	19×	body	320	valid
2.0ms	12×	body	80	valid
1.0ms	4×	body	160	valid

simplify43.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

43.0ms

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

prune28.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 26.0b

localize16.0ms

Local error

Found 2 expressions with local error:

33.3b	(pow (atan (fmod a (asin a))) (* a a))
1.0b	(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×	`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

4.0ms	(pow (atan (fmod a (asin a))) (* a a))
0.0ms	(fmod a (asin a))

series34.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

31.0ms	(pow (atan (fmod a (asin a))) (* a a))
3.0ms	(fmod a (asin a))

simplify1.1s

Counts

11 → 34

Calls

11 calls:

Slowest

429.0ms	(+ (* 1/2 (* (pow a 4) (pow (log (atan (fmod a (asin a)))) 2))) (+ 1 (* (pow a 2) (log (atan (fmod a (asin a)))))))
364.0ms	(pow (* (cbrt (atan (fmod a (asin a)))) (cbrt (atan (fmod a (asin a))))) (* a a))
116.0ms	(pow (sqrt (atan (fmod a (asin a)))) (* a a))
47.0ms	(pow (atan (fmod a (asin a))) (pow a 2))
44.0ms	(pow (atan (fmod a (asin a))) (pow a 2))

prune329.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 26.0b

end0.0ms

sample14.7s

Algorithm

intervals

Results

5.2s	3033×	body	2560	valid
4.5s	23852×	body	80	nan
2.9s	2512×	body	1280	valid
897.0ms	1258×	body	640	valid
404.0ms	586×	body	320	valid
124.0ms	291×	body	160	valid
66.0ms	320×	body	80	valid