Details

sample820.0ms

Algorithm

intervals

Results

554.0ms	93×	body	2560	valid
115.0ms	781×	body	80	nan
78.0ms	78×	body	1280	valid
31.0ms	49×	body	640	valid
6.0ms	12×	body	320	valid
4.0ms	9×	body	160	valid
3.0ms	15×	body	80	valid

simplify72.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

72.0ms

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

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 30.9b

localize21.0ms

Local error

Found 2 expressions with local error:

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

rewrite7.0ms

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

6.0ms	(pow (atan (fmod a (asin a))) (* a a))
0.0ms	(fmod a (asin a))

series20.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

18.0ms	(pow (atan (fmod a (asin a))) (* a a))
2.0ms	(fmod a (asin a))

simplify1.1s

Counts

11 → 34

Calls

11 calls:

Slowest

454.0ms	(+ (* 1/2 (* (pow a 4) (pow (log (atan (fmod a (asin a)))) 2))) (+ 1 (* (pow a 2) (log (atan (fmod a (asin a)))))))
375.0ms	(pow (* (cbrt (atan (fmod a (asin a)))) (cbrt (atan (fmod a (asin a))))) (* a a))
110.0ms	(pow (sqrt (atan (fmod a (asin a)))) (* a a))
52.0ms	(pow (atan (fmod a (asin a))) (pow a 2))
43.0ms	(pow (atan (fmod a (asin a))) (pow a 2))

prune394.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 30.9b

end0.0ms

sample15.1s

Algorithm

intervals

Results

5.6s	23991×	body	80	nan
4.6s	3101×	body	2560	valid
2.7s	2507×	body	1280	valid
926.0ms	1174×	body	640	valid
378.0ms	614×	body	320	valid
133.0ms	311×	body	160	valid
63.0ms	293×	body	80	valid