Details

sample336.0ms

Algorithm

intervals

Results

98.0ms	88×	body	2560	valid
90.0ms	83×	body	1280	valid
79.0ms	821×	body	80	nan
17.0ms	41×	body	640	valid
7.0ms	23×	body	320	valid
3.0ms	11×	body	160	valid
1.0ms	10×	body	80	valid

simplify626.0ms

Counts: 1 → 1

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 35.0b

localize19.0ms

Local error

Found 2 expressions with local error:

3.9b	(fmod a (asin a))
26.3b	(pow (atan (fmod a (asin a))) (* a a))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

3×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `unpow-prod-down` `*-un-lft-identity`
2×	`add-cbrt-cube` `add-log-exp`
1×	`pow-to-exp` `pow-unpow` `pow-pow` `pow-exp` `sqr-pow`

Counts

2 → 22

Calls

2 calls:

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

series37.0ms

Counts

2 → 6

Calls

2 calls:

3.0ms	(fmod a (asin a))
33.0ms	(pow (atan (fmod a (asin a))) (* a a))

simplify627.0ms

Counts: 28 → 28

prune106.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 34.8b

localize21.0ms

Local error

Found 4 expressions with local error:

3.9b	(fmod a (asin a))
3.9b	(fmod a (asin a))
26.5b	(pow (atan (fmod a (asin a))) (/ (* a a) 2))
26.5b	(pow (atan (fmod a (asin a))) (/ (* a a) 2))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

14×	`pow-unpow`
10×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`pow1` `add-exp-log` `unpow-prod-down` `times-frac`
4×	`add-cbrt-cube` `add-log-exp`
2×	`pow-to-exp` `pow-pow` `pow-exp` `div-inv` `sqr-pow`

Counts

4 → 56

Calls

4 calls:

0.0ms	(fmod a (asin a))
0.0ms	(fmod a (asin a))
5.0ms	(pow (atan (fmod a (asin a))) (/ (* a a) 2))
8.0ms	(pow (atan (fmod a (asin a))) (/ (* a a) 2))

series58.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(fmod a (asin a))
3.0ms	(fmod a (asin a))
31.0ms	(pow (atan (fmod a (asin a))) (/ (* a a) 2))
20.0ms	(pow (atan (fmod a (asin a))) (/ (* a a) 2))

simplify884.0ms

Counts: 68 → 68

prune247.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 34.8b

regimes36.0ms

Accuracy

100% (0.0b remaining)

Error of 31.2b against oracle of 31.2b and baseline of 31.2b

bsearch0.0ms

simplify643.0ms

end0.0ms

sample10.3s

Algorithm

intervals

Results

3.6s	2948×	body	2560	valid
3.3s	23838×	body	80	nan
1.6s	2545×	body	1280	valid
509.0ms	1248×	body	640	valid
215.0ms	637×	body	320	valid
65.0ms	329×	body	160	valid
37.0ms	293×	body	80	valid