Details

analyze2.2s (19.2%)

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)

sample4.5s (39.1%)

Results

2.3s	2277×	body	1024	valid
1.0s	4264×	body	128	valid
743.0ms	1134×	body	512	valid
249.0ms	579×	body	256	valid
204.0ms	847×	body	128	invalid
3.0ms	2×	body	2048	valid
3.0ms	3×	body	1024	invalid

Compiler

Compiled 62 to 48 computations (22.6% saved)

preprocess45.0ms (0.4%)

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)

simplify28.0ms (0.2%)

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%)

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

11.0b

Counts

3 → 2

Alt Table

Status	Error	Program
▶	11.1b	(-.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)))
	15.0b	(+.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)))))

Status

Error

Program

▶

11.1b

(-.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)))

15.0b

(+.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)))))

Compiler

Compiled 153 to 109 computations (28.8% saved)

localize19.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 x (tan.f64 B))
✓	0.2b	(*.f64 F (/.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2) (sin.f64 B)))
✓	0.3b	(/.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2) (sin.f64 B))
✓	17.5b	(pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)

series273.0ms (2.4%)

Counts

4 → 104

Calls

30 calls:

19.0ms	(*.f64 F (/.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2) (sin.f64 B)))	B	-inf
19.0ms	(/.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2) (sin.f64 B))	B	inf
18.0ms	(*.f64 F (/.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2) (sin.f64 B)))	x	-inf
18.0ms	(/.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2) (sin.f64 B))	x	inf
18.0ms	(*.f64 F (/.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2) (sin.f64 B)))	B	inf

rewrite60.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

270×	`expm1-udef_binary64`
270×	`log1p-udef_binary64`
151×	`add-sqr-sqrt_binary64`
141×	`log1p-expm1-u_binary64`
141×	`expm1-log1p-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	55
1	299	55
2	3813	55

Stop Event

1×	node limit

Counts

4 → 108

simplify97.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

375×	`fma-def_binary64`
287×	`fma-neg_binary64`
246×	`+-commutative_binary64`
203×	`*-commutative_binary64`
190×	`associate-+r+_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	410	5102
1	1295	4787
2	4766	4787

Stop Event

1×	node limit

Counts

212 → 243

prune335.0ms (2.9%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	230	13	243
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	231	14	245

Error

0.0b

Counts

245 → 14

Alt Table

Status	Error	Program
	11.1b	(-.f64 (.f64 F (.f64 (sqrt.f64 (/.f64 1 (+.f64 2 (pow.f64 F 2)))) (/.f64 1 (sin.f64 B)))) (/.f64 x (tan.f64 B)))
	11.1b	(-.f64 (.f64 F (/.f64 (.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/4) (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/4)) (sin.f64 B))) (/.f64 x (tan.f64 B)))
	11.1b	(-.f64 (.f64 F (/.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2) (sin.f64 B))) (.f64 (/.f64 x (sin.f64 B)) (cos.f64 B)))
	33.0b	(-.f64 (*.f64 F (/.f64 (/.f64 -1 F) (sin.f64 B))) (/.f64 x (tan.f64 B)))
	11.1b	(-.f64 (.f64 F (/.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2) (sin.f64 B))) (/.f64 (.f64 x (cos.f64 B)) (sin.f64 B)))
	11.6b	(-.f64 (*.f64 F (/.f64 (exp.f64 (log.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2))) (sin.f64 B))) (/.f64 x (tan.f64 B)))
	31.3b	(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))
	33.0b	(-.f64 (.f64 F (/.f64 -1 (.f64 (sin.f64 B) F))) (/.f64 x (tan.f64 B)))
	33.4b	(-.f64 (.f64 F (/.f64 1 (.f64 (sin.f64 B) F))) (/.f64 x (tan.f64 B)))
▶	11.1b	(-.f64 (/.f64 1 (/.f64 (sin.f64 B) (*.f64 F (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)))) (/.f64 x (tan.f64 B)))
	11.1b	(-.f64 (*.f64 F (/.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2) (sin.f64 B))) (pow.f64 (/.f64 (tan.f64 B) x) -1))
	34.6b	(-.f64 (.f64 F (/.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2) (sin.f64 B))) (.f64 (/.f64 1 (sqrt.f64 (tan.f64 B))) (/.f64 x (sqrt.f64 (tan.f64 B)))))
	15.0b	(+.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)))))
	30.9b	(-.f64 (/.f64 -1 (sin.f64 B)) (/.f64 x (tan.f64 B)))

Compiler

Compiled 10171 to 6312 computations (37.9% saved)

localize17.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 1 (/.f64 (sin.f64 B) (*.f64 F (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2))))
✓	0.3b	(*.f64 F (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2))
✓	0.9b	(/.f64 (sin.f64 B) (*.f64 F (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)))
	17.5b	(pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)

series193.0ms (1.7%)

Counts

3 → 72

Calls

24 calls:

18.0ms	(/.f64 1 (/.f64 (sin.f64 B) (*.f64 F (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2))))	B	-inf
18.0ms	(/.f64 1 (/.f64 (sin.f64 B) (*.f64 F (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2))))	x	-inf
18.0ms	(/.f64 1 (/.f64 (sin.f64 B) (*.f64 F (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2))))	B	inf
15.0ms	(/.f64 1 (/.f64 (sin.f64 B) (*.f64 F (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2))))	x	inf
14.0ms	(*.f64 F (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2))	x	inf

rewrite67.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

248×	`expm1-udef_binary64`
248×	`log1p-udef_binary64`
225×	`log-pow_binary64`
143×	`add-sqr-sqrt_binary64`
134×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	58
1	293	55
2	3618	55

Stop Event

1×	node limit

Counts

3 → 103

simplify76.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

991×	`times-frac_binary64`
261×	`fma-def_binary64`
258×	`fma-neg_binary64`
178×	`+-commutative_binary64`
166×	`*-commutative_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	303	3670
1	975	3452
2	3519	3452

Stop Event

1×	node limit

Counts

175 → 214

prune446.0ms (3.9%)

Pruning

15 alts after pruning (14 fresh and 1 done)

	Pruned	Kept	Total
New	274	2	276
Fresh	1	12	13
Picked	0	1	1
Done	0	0	0
Total	275	15	290

Error

0.0b

Counts

290 → 15

Alt Table

Status	Error	Program
	11.1b	(-.f64 (.f64 F (/.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2) (sin.f64 B))) (.f64 (/.f64 x (sin.f64 B)) (cos.f64 B)))
	33.0b	(-.f64 (*.f64 F (/.f64 (/.f64 -1 F) (sin.f64 B))) (/.f64 x (tan.f64 B)))
	11.1b	(-.f64 (.f64 F (/.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2) (sin.f64 B))) (/.f64 (.f64 x (cos.f64 B)) (sin.f64 B)))
	11.6b	(-.f64 (*.f64 F (/.f64 (exp.f64 (log.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2))) (sin.f64 B))) (/.f64 x (tan.f64 B)))
	22.9b	(-.f64 (cbrt.f64 (pow.f64 (/.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2) (/.f64 (sin.f64 B) F)) 3)) (/.f64 x (tan.f64 B)))
	11.1b	(-.f64 (*.f64 F (/.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2) (sin.f64 B))) (pow.f64 (/.f64 (tan.f64 B) x) -1))
	31.3b	(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))
	33.0b	(-.f64 (.f64 F (/.f64 -1 (.f64 (sin.f64 B) F))) (/.f64 x (tan.f64 B)))
	33.4b	(-.f64 (.f64 F (/.f64 1 (.f64 (sin.f64 B) F))) (/.f64 x (tan.f64 B)))
▶	11.1b	(-.f64 (.f64 F (/.f64 (.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/4) (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/4)) (sin.f64 B))) (/.f64 x (tan.f64 B)))
✓	11.1b	(-.f64 (/.f64 1 (/.f64 (sin.f64 B) (*.f64 F (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)))) (/.f64 x (tan.f64 B)))
	11.1b	(-.f64 (*.f64 (/.f64 1 (sin.f64 B)) (pow.f64 (/.f64 (/.f64 1 F) (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)) -1)) (/.f64 x (tan.f64 B)))
	34.6b	(-.f64 (.f64 F (/.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2) (sin.f64 B))) (.f64 (/.f64 1 (sqrt.f64 (tan.f64 B))) (/.f64 x (sqrt.f64 (tan.f64 B)))))
	15.0b	(+.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)))))
	30.9b	(-.f64 (/.f64 -1 (sin.f64 B)) (/.f64 x (tan.f64 B)))

Compiler

Compiled 11847 to 7354 computations (37.9% saved)

localize18.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 F (/.f64 (.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/4) (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/4)) (sin.f64 B)))
✓	0.3b	(/.f64 (*.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/4) (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/4)) (sin.f64 B))
✓	0.6b	(*.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/4) (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/4))
✓	18.0b	(pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/4)

series257.0ms (2.2%)

Counts

4 → 96

Calls

30 calls:

19.0ms	(/.f64 (*.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/4) (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/4)) (sin.f64 B))	B	-inf
18.0ms	(/.f64 (*.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/4) (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/4)) (sin.f64 B))	B	inf
18.0ms	(.f64 F (/.f64 (.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/4) (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/4)) (sin.f64 B)))	B	-inf
17.0ms	(.f64 F (/.f64 (.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/4) (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/4)) (sin.f64 B)))	B	inf
17.0ms	(.f64 F (/.f64 (.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/4) (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/4)) (sin.f64 B)))	x	-inf

rewrite61.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

239×	`expm1-udef_binary64`
239×	`log1p-udef_binary64`
221×	`log-pow_binary64`
136×	`add-sqr-sqrt_binary64`
128×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	61
1	278	61
2	3429	61

Stop Event

1×	node limit

Counts

4 → 98

simplify84.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

481×	`fma-def_binary64`
239×	`associate--l+_binary64`
230×	`associate-r_binary64`
219×	`associate-/r*_binary64`
195×	`associate--r+_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	512	5804
1	1630	5403

Stop Event

1×	node limit

Counts

194 → 256

prune522.0ms (4.5%)

Pruning

15 alts after pruning (13 fresh and 2 done)

	Pruned	Kept	Total
New	321	0	321
Fresh	0	13	13
Picked	0	1	1
Done	0	1	1
Total	321	15	336

Error

0.0b

Counts

336 → 15

Alt Table

Status	Error	Program
▶	11.1b	(-.f64 (.f64 F (/.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2) (sin.f64 B))) (.f64 (/.f64 x (sin.f64 B)) (cos.f64 B)))
	33.0b	(-.f64 (*.f64 F (/.f64 (/.f64 -1 F) (sin.f64 B))) (/.f64 x (tan.f64 B)))
	11.1b	(-.f64 (.f64 F (/.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2) (sin.f64 B))) (/.f64 (.f64 x (cos.f64 B)) (sin.f64 B)))
	11.6b	(-.f64 (*.f64 F (/.f64 (exp.f64 (log.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2))) (sin.f64 B))) (/.f64 x (tan.f64 B)))
	22.9b	(-.f64 (cbrt.f64 (pow.f64 (/.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2) (/.f64 (sin.f64 B) F)) 3)) (/.f64 x (tan.f64 B)))
	11.1b	(-.f64 (*.f64 F (/.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2) (sin.f64 B))) (pow.f64 (/.f64 (tan.f64 B) x) -1))
	31.3b	(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))
	33.0b	(-.f64 (.f64 F (/.f64 -1 (.f64 (sin.f64 B) F))) (/.f64 x (tan.f64 B)))
	33.4b	(-.f64 (.f64 F (/.f64 1 (.f64 (sin.f64 B) F))) (/.f64 x (tan.f64 B)))
✓	11.1b	(-.f64 (.f64 F (/.f64 (.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/4) (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/4)) (sin.f64 B))) (/.f64 x (tan.f64 B)))
✓	11.1b	(-.f64 (/.f64 1 (/.f64 (sin.f64 B) (*.f64 F (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)))) (/.f64 x (tan.f64 B)))
	11.1b	(-.f64 (*.f64 (/.f64 1 (sin.f64 B)) (pow.f64 (/.f64 (/.f64 1 F) (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)) -1)) (/.f64 x (tan.f64 B)))
	34.6b	(-.f64 (.f64 F (/.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2) (sin.f64 B))) (.f64 (/.f64 1 (sqrt.f64 (tan.f64 B))) (/.f64 x (sqrt.f64 (tan.f64 B)))))
	15.0b	(+.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)))))
	30.9b	(-.f64 (/.f64 -1 (sin.f64 B)) (/.f64 x (tan.f64 B)))

Compiler

Compiled 16124 to 10632 computations (34.1% saved)

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 x (sin.f64 B))
	0.2b	(*.f64 F (/.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2) (sin.f64 B)))
	0.3b	(/.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2) (sin.f64 B))
	17.5b	(pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)

series14.0ms (0.1%)

Counts

1 → 4

Calls

6 calls:

3.0ms	(/.f64 x (sin.f64 B))	x	-inf
3.0ms	(/.f64 x (sin.f64 B))	x	inf
3.0ms	(/.f64 x (sin.f64 B))	B	-inf
3.0ms	(/.f64 x (sin.f64 B))	x	0
2.0ms	(/.f64 x (sin.f64 B))	B	inf

rewrite36.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

512×	`log1p-expm1-u_binary64`
512×	`expm1-log1p-u_binary64`
341×	`unpow-prod-down_binary64`
269×	`log-prod_binary64`
143×	`pow2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	6
1	103	6
2	1363	6

Stop Event

1×	node limit

Counts

1 → 66

simplify61.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1310×	`fma-def_binary64`
532×	`associate-l_binary64`
416×	`unswap-sqr_binary64`
365×	`*-commutative_binary64`
305×	`associate-r_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	22	69
1	59	67
2	152	61
3	422	58
4	1030	58
5	2337	58
6	2783	58
7	3419	58
8	3535	58
9	3707	58
10	3926	58
11	4890	58

Stop Event

1×	node limit

Counts

70 → 73

prune367.0ms (3.2%)

Pruning

14 alts after pruning (12 fresh and 2 done)

	Pruned	Kept	Total
New	273	1	274
Fresh	1	11	12
Picked	1	0	1
Done	0	2	2
Total	275	14	289

Error

0.0b

Counts

289 → 14

Alt Table

Status	Error	Program
	11.1b	(-.f64 (.f64 F (/.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2) (sin.f64 B))) (/.f64 (.f64 x (cos.f64 B)) (sin.f64 B)))
	11.6b	(-.f64 (*.f64 F (/.f64 (exp.f64 (log.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2))) (sin.f64 B))) (/.f64 x (tan.f64 B)))
	22.9b	(-.f64 (cbrt.f64 (pow.f64 (/.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2) (/.f64 (sin.f64 B) F)) 3)) (/.f64 x (tan.f64 B)))
	11.1b	(-.f64 (*.f64 F (/.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2) (sin.f64 B))) (pow.f64 (/.f64 (tan.f64 B) x) -1))
	30.9b	(-.f64 (/.f64 -1 (sin.f64 B)) (/.f64 x (tan.f64 B)))
	11.2b	(-.f64 (.f64 F (/.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2) (sin.f64 B))) (.f64 (pow.f64 (/.f64 (sin.f64 B) x) -1) (cos.f64 B)))
	31.3b	(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))
	33.0b	(-.f64 (.f64 F (/.f64 -1 (.f64 (sin.f64 B) F))) (/.f64 x (tan.f64 B)))
	33.4b	(-.f64 (.f64 F (/.f64 1 (.f64 (sin.f64 B) F))) (/.f64 x (tan.f64 B)))
✓	11.1b	(-.f64 (.f64 F (/.f64 (.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/4) (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/4)) (sin.f64 B))) (/.f64 x (tan.f64 B)))
	33.0b	(-.f64 (*.f64 F (/.f64 (/.f64 -1 F) (sin.f64 B))) (/.f64 x (tan.f64 B)))
✓	11.1b	(-.f64 (/.f64 1 (/.f64 (sin.f64 B) (*.f64 F (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)))) (/.f64 x (tan.f64 B)))
	11.1b	(-.f64 (*.f64 (/.f64 1 (sin.f64 B)) (pow.f64 (/.f64 (/.f64 1 F) (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)) -1)) (/.f64 x (tan.f64 B)))
	15.0b	(+.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)))))

Compiler

Compiled 11633 to 6653 computations (42.8% saved)

regimes1.4s (12%)

Accuracy

Total 0.2b remaining (83.4%)

Threshold costs 0.2b (83.4%)

Counts

193 → 3

Compiler

Compiled 19108 to 13516 computations (29.3% saved)

bsearch101.0ms (0.9%)

Algorithm

2×	binary-search

Calls

2 calls:

84.0ms	F
9.0ms	F

Steps

Iters	Point		Range
96080281.06105939	∈ [	23974.32389771295	,	1570723616.4550705	]
-7.469347970595743e+44	∈ [	-1.7061170287223597e+47	,	-3.416365280401503e+42	]

Compiler

Compiled 4 to 3 computations (25% saved)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Rules

5×	`+-commutative_binary64`
5×	`sub-neg_binary64`
2×	`*-commutative_binary64`
2×	`neg-sub0_binary64`
2×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	68
1	36	68
2	43	68
3	47	68
4	50	68
5	51	68

Stop Event

1×

saturated

end237.0ms (2%)

Stop Event

1×

fuel

Compiler

Compiled 407 to 274 computations (32.7% saved)

Details

analyze2.2s (19.2%)

sample4.5s (39.1%)

preprocess45.0ms (0.4%)

simplify28.0ms (0.2%)

prune5.0ms (0%)

localize19.0ms (0.2%)

series273.0ms (2.4%)

rewrite60.0ms (0.5%)

simplify97.0ms (0.8%)

prune335.0ms (2.9%)

localize17.0ms (0.2%)

series193.0ms (1.7%)

rewrite67.0ms (0.6%)

simplify76.0ms (0.7%)

prune446.0ms (3.9%)

localize18.0ms (0.2%)

series257.0ms (2.2%)

rewrite61.0ms (0.5%)

simplify84.0ms (0.7%)

prune522.0ms (4.5%)

localize16.0ms (0.1%)

series14.0ms (0.1%)

rewrite36.0ms (0.3%)

simplify61.0ms (0.5%)

prune367.0ms (3.2%)

regimes1.4s (12%)

bsearch101.0ms (0.9%)

simplify4.0ms (0%)

end237.0ms (2%)

Profiling