Details

sample392.0ms

Algorithm

intervals

Results

147.0ms	95×	body	2560	valid
109.0ms	773×	body	80	nan
71.0ms	83×	body	1280	valid
29.0ms	44×	body	640	valid
5.0ms	12×	body	320	valid
4.0ms	11×	body	160	valid
2.0ms	11×	body	80	valid

simplify83.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

82.0ms

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

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 30.6b

localize16.0ms

Local error

Found 2 expressions with local error:

29.4b	(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×	`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

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

series17.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

15.0ms	(pow (atan (fmod a (asin a))) (* a a))
2.0ms	(fmod a (asin a))

simplify1.2s

Counts

11 → 34

Calls

11 calls:

Slowest

605.0ms	(+ (* 1/2 (* (pow a 4) (pow (log (atan (fmod a (asin a)))) 2))) (+ 1 (* (pow a 2) (log (atan (fmod a (asin a)))))))
319.0ms	(pow (* (cbrt (atan (fmod a (asin a)))) (cbrt (atan (fmod a (asin a))))) (* a a))
132.0ms	(pow (sqrt (atan (fmod a (asin a)))) (* a a))
70.0ms	(pow (atan (fmod a (asin a))) (pow a 2))
40.0ms	(pow (atan (fmod a (asin a))) (pow a 2))

prune301.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 30.6b

end0.0ms

sample13.6s

Algorithm

intervals

Results

5.1s	24335×	body	80	nan
4.2s	3000×	body	2560	valid
2.5s	2482×	body	1280	valid
788.0ms	1236×	body	640	valid
323.0ms	642×	body	320	valid
107.0ms	351×	body	160	valid
54.0ms	289×	body	80	valid