Details

sample406.0ms

Algorithm

intervals

Results

118.0ms	87×	body	2560	valid
114.0ms	82×	body	1280	valid
107.0ms	745×	body	80	nan
27.0ms	44×	body	640	valid
9.0ms	19×	body	320	valid
5.0ms	14×	body	160	valid
2.0ms	10×	body	80	valid

simplify34.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

34.0ms

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

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 34.5b

localize28.0ms

Local error

Found 2 expressions with local error:

25.8b	(pow (atan (fmod a (asin a))) (* a a))
1.9b	(fmod a (asin a))

rewrite21.0ms

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

21.0ms	(pow (atan (fmod a (asin a))) (* a a))
0.0ms	(fmod a (asin a))

series21.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

18.0ms	(pow (atan (fmod a (asin a))) (* a a))
3.0ms	(fmod a (asin a))

simplify1.1s

Counts

11 → 34

Calls

11 calls:

Slowest

433.0ms	(+ (* 1/2 (* (pow a 4) (pow (log (atan (fmod a (asin a)))) 2))) (+ 1 (* (pow a 2) (log (atan (fmod a (asin a)))))))
400.0ms	(pow (* (cbrt (atan (fmod a (asin a)))) (cbrt (atan (fmod a (asin a))))) (* a a))
105.0ms	(pow (sqrt (atan (fmod a (asin a)))) (* a a))
53.0ms	(pow (atan (fmod a (asin a))) (pow a 2))
50.0ms	(pow (atan (fmod a (asin a))) (pow a 2))

prune362.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 34.5b

end0.0ms

sample14.5s

Algorithm

intervals

Results

4.8s	2954×	body	2560	valid
4.3s	24001×	body	80	nan
3.3s	2507×	body	1280	valid
900.0ms	1254×	body	640	valid
293.0ms	635×	body	320	valid
134.0ms	339×	body	160	valid
87.0ms	311×	body	80	valid