Details

sample362.0ms

Algorithm

intervals

Results

141.0ms	90×	body	2560	valid
108.0ms	779×	body	80	nan
49.0ms	69×	body	1280	valid
27.0ms	53×	body	640	valid
11.0ms	26×	body	320	valid
2.0ms	9×	body	160	valid
2.0ms	9×	body	80	valid

simplify45.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

45.0ms

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

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 34.8b

localize24.0ms

Local error

Found 2 expressions with local error:

26.7b	(pow (atan (fmod a (asin a))) (* a a))
3.2b	(fmod a (asin a))

rewrite8.0ms

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

7.0ms	(pow (atan (fmod a (asin a))) (* a a))
0.0ms	(fmod a (asin a))

series48.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

45.0ms	(pow (atan (fmod a (asin a))) (* a a))
3.0ms	(fmod a (asin a))

simplify1.1s

Counts

11 → 34

Calls

11 calls:

Slowest

430.0ms	(+ (* 1/2 (* (pow a 4) (pow (log (atan (fmod a (asin a)))) 2))) (+ 1 (* (pow a 2) (log (atan (fmod a (asin a)))))))
409.0ms	(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))
73.0ms	(pow (atan (fmod a (asin a))) (pow a 2))
56.0ms	(pow (atan (fmod a (asin a))) (pow a 2))

prune419.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 34.8b

end0.0ms

sample15.4s

Algorithm

intervals

Results

4.8s	23851×	body	80	nan
4.8s	2978×	body	2560	valid
2.8s	2526×	body	1280	valid
1.9s	1272×	body	640	valid
293.0ms	618×	body	320	valid
107.0ms	313×	body	160	valid
64.0ms	293×	body	80	valid