Details

sample244.0ms

Algorithm

intervals

Results

75.0ms	82×	body	2560	valid
62.0ms	808×	body	80	nan
46.0ms	96×	body	1280	valid
14.0ms	41×	body	640	valid
4.0ms	15×	body	320	valid
2.0ms	12×	body	160	valid
1.0ms	10×	body	80	valid

simplify3.5s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
6	4067
5	452
4	108
3	41
2	17
1	10
0	6

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 33.8b

localize25.0ms

Local error

Found 2 expressions with local error:

2.7b	(fmod a (asin a))
27.0b	(pow (atan (fmod a (asin a))) (* a a))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-sqr-sqrt` `pow1` `unpow-prod-down` `*-un-lft-identity` `add-exp-log` `add-cube-cbrt`
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))
5.0ms	(pow (atan (fmod a (asin a))) (* a a))

series35.0ms

Counts

2 → 6

Calls

2 calls:

2.0ms	(fmod a (asin a))
33.0ms	(pow (atan (fmod a (asin a))) (* a a))

simplify5.2s

Counts

28 → 28

Iterations

Iter	Nodes
done	5000
3	4952
2	544
1	113
0	46

prune169.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 33.6b

localize31.0ms

Local error

Found 4 expressions with local error:

2.7b	(fmod a (asin a))
2.7b	(fmod a (asin a))
27.0b	(pow (atan (fmod a (asin a))) (/ (* a a) 2))
27.0b	(pow (atan (fmod a (asin a))) (/ (* a a) 2))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

14×	`pow-unpow`
10×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
6×	`pow1` `unpow-prod-down` `times-frac` `add-exp-log`
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))
6.0ms	(pow (atan (fmod a (asin a))) (/ (* a a) 2))
6.0ms	(pow (atan (fmod a (asin a))) (/ (* a a) 2))

series68.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(fmod a (asin a))
3.0ms	(fmod a (asin a))
33.0ms	(pow (atan (fmod a (asin a))) (/ (* a a) 2))
27.0ms	(pow (atan (fmod a (asin a))) (/ (* a a) 2))

simplify3.9s

Counts

68 → 68

Iterations

Iter	Nodes
done	5000
3	4322
2	650
1	167
0	64

prune430.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 33.6b

regimes117.0ms

Accuracy

0% (0.0b remaining)

Error of 31.1b against oracle of 31.1b and baseline of 31.1b

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	9
0	9

end0.0ms

sample9.8s

Algorithm

intervals

Results

3.1s	2966×	body	2560	valid
2.8s	24124×	body	80	nan
1.6s	2493×	body	1280	valid
632.0ms	635×	body	320	valid
506.0ms	1263×	body	640	valid
101.0ms	311×	body	160	valid
42.0ms	332×	body	80	valid