Details

analyze2.1s (31.4%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
0%	99.9%	0.1%	7
0%	93.6%	6.4%	8
9.4%	84.3%	6.4%	9
14.8%	75.7%	9.5%	10
16%	71.4%	12.6%	11
20.9%	65.7%	13.4%	12
24.2%	60.5%	15.3%	13
24.8%	58.6%	16.6%	14

Compiler

Compiled 31 to 24 computations (22.6% saved)

sample4.4s (63.8%)

Results

2.2s	2358×	body	1024	valid
936.0ms	4178×	body	128	valid
733.0ms	1146×	body	512	valid
234.0ms	567×	body	256	valid
188.0ms	866×	body	128	invalid
11.0ms	7×	body	2048	valid
1.0ms	1×	body	512	invalid

Compiler

Compiled 62 to 48 computations (22.6% saved)

preprocess42.0ms (0.6%)

Algorithm

2×	egg-herbie

Rules

523×	`fma-def_binary64`
440×	`fma-neg_binary64`
358×	`distribute-rgt-neg-in_binary64`
324×	`associate-/l*_binary64`
264×	`distribute-lft-neg-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	140
1	138	112
2	339	112
3	808	112
4	2075	112
5	4823	112
0	3	3

Stop Event

1×	saturated
1×	node limit

Compiler

Compiled 30 to 23 computations (23.3% saved)

simplify25.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

378×	`fma-def_binary64`
354×	`distribute-neg-frac_binary64`
310×	`distribute-rgt-neg-in_binary64`
302×	`fma-neg_binary64`
283×	`associate-/l*_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	23	35
1	49	28
2	105	28
3	215	28
4	494	28
5	1487	28
6	3884	28

Stop Event

1×	node limit

Counts

1 → 2

prune5.0ms (0.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Kept	Total
New	2	2
Fresh	1	1
Picked	0	0
Done	0	0
Total	3	3

Error

11.2b

Counts

3 → 2

Alt Table

Status	Error	Program
	13.7b	(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (.f64 F F) 2) (.f64 2 x)) (neg.f64 (/.f64 1 2)))))
▶	11.3b	(-.f64 (*.f64 F (/.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2) (sin.f64 B))) (/.f64 x (tan.f64 B)))

Status

Error

Program

13.7b

(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) 2) (*.f64 2 x)) (neg.f64 (/.f64 1 2)))))

▶

11.3b

(-.f64 (*.f64 F (/.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2) (sin.f64 B))) (/.f64 x (tan.f64 B)))

Compiler

Compiled 153 to 109 computations (28.8% saved)

localize15.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 x (tan.f64 B))
✓	0.3b	(*.f64 F (/.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2) (sin.f64 B)))
✓	0.4b	(/.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2) (sin.f64 B))
✓	17.9b	(pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)

series242.0ms (3.5%)

Counts

4 → 104

Calls

30 calls:

17.0ms	(*.f64 F (/.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2) (sin.f64 B)))	B	-inf
17.0ms	(/.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2) (sin.f64 B))	B	inf
17.0ms	(*.f64 F (/.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2) (sin.f64 B)))	B	inf
17.0ms	(/.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2) (sin.f64 B))	B	-inf
16.0ms	(/.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2) (sin.f64 B))	x	-inf

rewrite0.0ms (0%)

Algorithm

1×	batch-egg-rewrite

Details

analyze2.1s (31.4%)

sample4.4s (63.8%)

preprocess42.0ms (0.6%)

simplify25.0ms (0.4%)

prune5.0ms (0.1%)

localize15.0ms (0.2%)

series242.0ms (3.5%)

rewrite0.0ms (0%)

end0.0ms (0%)

Profiling