Details

analyze2.3s (19.9%)

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)

sample4.8s (42.1%)

Results

2.4s	2277×	body	1024	valid
1.1s	4349×	body	128	valid
741.0ms	1066×	body	512	valid
267.0ms	559×	body	256	valid
250.0ms	796×	body	128	invalid
8.0ms	5×	body	2048	valid
1.0ms	1×	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)

simplify27.0ms (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

10.0b

Counts

3 → 2

Alt Table

Status	Error	Program
	13.5b	(+.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)))))
▶	10.1b	(-.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)))

Status

Error

Program

13.5b

(+.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)))))

▶

10.1b

(-.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)))

Compiler

Compiled 153 to 109 computations (28.8% saved)

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(/.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))
✓	18.6b	(pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)

series254.0ms (2.2%)

Counts

4 → 104

Calls

30 calls:

20.0ms	(/.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)))	x	-inf
17.0ms	(/.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2) (sin.f64 B))	x	-inf
16.0ms	(*.f64 F (/.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2) (sin.f64 B)))	B	inf

rewrite64.0ms (0.6%)

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

simplify104.0ms (0.9%)

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

prune313.0ms (2.7%)

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	229	14	243
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	230	15	245

Error

0.0b

Counts

245 → 15

Alt Table

Status	Error	Program
	30.7b	(-.f64 (.f64 F (/.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2) (sin.f64 B))) (.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (tan.f64 B))))
	10.2b	(-.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)))
	10.4b	(-.f64 (/.f64 (/.f64 (*.f64 F (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)) (pow.f64 (cbrt.f64 (sin.f64 B)) 2)) (cbrt.f64 (sin.f64 B))) (/.f64 x (tan.f64 B)))
	29.0b	(-.f64 (*.f64 F (/.f64 (/.f64 1 F) (sin.f64 B))) (/.f64 x (tan.f64 B)))
	35.9b	(-.f64 (*.f64 F (/.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2) (sin.f64 B))) (pow.f64 (sqrt.f64 (/.f64 x (tan.f64 B))) 2))
	10.2b	(-.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)))
	31.1b	(-.f64 (.f64 F (/.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2) (sin.f64 B))) (.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (tan.f64 B)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (tan.f64 B)))))
	10.8b	(-.f64 (.f64 F (/.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2) (sin.f64 B))) (.f64 (/.f64 1 (pow.f64 (cbrt.f64 (tan.f64 B)) 2)) (/.f64 x (cbrt.f64 (tan.f64 B)))))
	13.5b	(+.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)))))
▶	10.1b	(-.f64 (*.f64 F (pow.f64 (/.f64 (sin.f64 B) (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)) -1)) (/.f64 x (tan.f64 B)))
	30.1b	(-.f64 (/.f64 -1 (sin.f64 B)) (/.f64 x (tan.f64 B)))
	27.3b	(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))
	21.7b	(-.f64 (expm1.f64 (log1p.f64 (/.f64 F (/.f64 (sin.f64 B) (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2))))) (/.f64 x (tan.f64 B)))
	10.2b	(-.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))
	10.7b	(-.f64 (*.f64 F (/.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2) (sin.f64 B))) (pow.f64 (cbrt.f64 (/.f64 x (tan.f64 B))) 3))

Compiler

Compiled 10295 to 6394 computations (37.9% saved)

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 F (pow.f64 (/.f64 (sin.f64 B) (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)) -1))
✓	0.3b	(pow.f64 (/.f64 (sin.f64 B) (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)) -1)
✓	0.4b	(/.f64 (sin.f64 B) (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2))
	18.6b	(pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)

series242.0ms (2.1%)

Counts

3 → 84

Calls

27 calls:

23.0ms	(pow.f64 (/.f64 (sin.f64 B) (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)) -1)	B	-inf
22.0ms	(pow.f64 (/.f64 (sin.f64 B) (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)) -1)	B	inf
19.0ms	(*.f64 F (pow.f64 (/.f64 (sin.f64 B) (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)) -1))	B	inf
18.0ms	(*.f64 F (pow.f64 (/.f64 (sin.f64 B) (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)) -1))	B	-inf
17.0ms	(*.f64 F (pow.f64 (/.f64 (sin.f64 B) (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)) -1))	x	-inf

rewrite63.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

629×	`log-prod_binary64`
245×	`expm1-udef_binary64`
245×	`log1p-udef_binary64`
225×	`log-pow_binary64`
141×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	60
1	290	52
2	3432	52

Stop Event

1×	node limit

Counts

3 → 100

simplify83.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

695×	`times-frac_binary64`
306×	`fma-neg_binary64`
305×	`fma-def_binary64`
190×	`*-commutative_binary64`
185×	`+-commutative_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	319	4328
1	1030	4020
2	3789	4020

Stop Event

1×	node limit

Counts

184 → 224

prune405.0ms (3.6%)

Pruning

15 alts after pruning (14 fresh and 1 done)

	Pruned	Kept	Total
New	284	2	286
Fresh	2	12	14
Picked	0	1	1
Done	0	0	0
Total	286	15	301

Error

0.0b

Counts

301 → 15

Alt Table

Status	Error	Program
	30.7b	(-.f64 (.f64 F (/.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2) (sin.f64 B))) (.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (tan.f64 B))))
	10.2b	(-.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)))
	10.4b	(-.f64 (/.f64 (/.f64 (*.f64 F (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)) (pow.f64 (cbrt.f64 (sin.f64 B)) 2)) (cbrt.f64 (sin.f64 B))) (/.f64 x (tan.f64 B)))
	29.0b	(-.f64 (*.f64 F (/.f64 (/.f64 1 F) (sin.f64 B))) (/.f64 x (tan.f64 B)))
	10.7b	(-.f64 (*.f64 F (/.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2) (sin.f64 B))) (pow.f64 (cbrt.f64 (/.f64 x (tan.f64 B))) 3))
	13.3b	(-.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 2 (fma.f64 F F (.f64 2 x))))) (/.f64 F (sin.f64 B))) (/.f64 x (tan.f64 B)))
	31.1b	(-.f64 (.f64 F (/.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2) (sin.f64 B))) (.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (tan.f64 B)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (tan.f64 B)))))
	10.8b	(-.f64 (.f64 F (/.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2) (sin.f64 B))) (.f64 (/.f64 1 (pow.f64 (cbrt.f64 (tan.f64 B)) 2)) (/.f64 x (cbrt.f64 (tan.f64 B)))))
✓	10.1b	(-.f64 (*.f64 F (pow.f64 (/.f64 (sin.f64 B) (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)) -1)) (/.f64 x (tan.f64 B)))
▶	10.1b	(-.f64 (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 x 2 (fma.f64 F F 2))))) (/.f64 x (tan.f64 B)))
	30.1b	(-.f64 (/.f64 -1 (sin.f64 B)) (/.f64 x (tan.f64 B)))
	27.3b	(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))
	21.7b	(-.f64 (expm1.f64 (log1p.f64 (/.f64 F (/.f64 (sin.f64 B) (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2))))) (/.f64 x (tan.f64 B)))
	10.2b	(-.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))
	35.9b	(-.f64 (*.f64 F (/.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2) (sin.f64 B))) (pow.f64 (sqrt.f64 (/.f64 x (tan.f64 B))) 2))

Compiler

Compiled 12458 to 7714 computations (38.1% saved)

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(/.f64 x (tan.f64 B))
✓	0.2b	(*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 x 2 (fma.f64 F F 2))))
✓	0.2b	(/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 x 2 (fma.f64 F F 2)))))
✓	18.6b	(sqrt.f64 (fma.f64 x 2 (fma.f64 F F 2)))

series159.0ms (1.4%)

Counts

3 → 72

Calls

24 calls:

17.0ms	(/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 x 2 (fma.f64 F F 2)))))	x	-inf
17.0ms	(/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 x 2 (fma.f64 F F 2)))))	B	-inf
16.0ms	(/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 x 2 (fma.f64 F F 2)))))	B	inf
15.0ms	(/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 x 2 (fma.f64 F F 2)))))	x	inf
8.0ms	(*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 x 2 (fma.f64 F F 2))))	x	-inf

rewrite58.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

559×	`log-prod_binary64`
203×	`expm1-udef_binary64`
203×	`log1p-udef_binary64`
186×	`log-pow_binary64`
113×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	46
1	226	46
2	2872	46

Stop Event

1×	node limit

Counts

3 → 89

simplify71.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

628×	`cancel-sign-sub-inv_binary64`
579×	`times-frac_binary64`
339×	`sub-neg_binary64`
269×	`fma-neg_binary64`
257×	`fma-def_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	287	3439
1	925	3227
2	3427	3227

Stop Event

1×	node limit

Counts

161 → 202

prune321.0ms (2.8%)

Pruning

15 alts after pruning (14 fresh and 1 done)

	Pruned	Kept	Total
New	236	8	244
Fresh	7	6	13
Picked	1	0	1
Done	0	1	1
Total	244	15	259

Error

0.0b

Counts

259 → 15

Alt Table

Status	Error	Program
	10.4b	(-.f64 (/.f64 (/.f64 (*.f64 F (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)) (pow.f64 (cbrt.f64 (sin.f64 B)) 2)) (cbrt.f64 (sin.f64 B))) (/.f64 x (tan.f64 B)))
	29.0b	(-.f64 (*.f64 F (/.f64 (/.f64 1 F) (sin.f64 B))) (/.f64 x (tan.f64 B)))
	30.1b	(-.f64 (/.f64 -1 (sin.f64 B)) (/.f64 x (tan.f64 B)))
	31.0b	(-.f64 (/.f64 F (.f64 (sin.f64 B) (sqrt.f64 (fma.f64 x 2 (fma.f64 F F 2))))) (.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (tan.f64 B)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (tan.f64 B)))))
	21.7b	(-.f64 (expm1.f64 (log1p.f64 (/.f64 F (/.f64 (sin.f64 B) (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2))))) (/.f64 x (tan.f64 B)))
	10.7b	(-.f64 (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 x 2 (fma.f64 F F 2))))) (pow.f64 (cbrt.f64 (/.f64 x (tan.f64 B))) 3))
	10.1b	(-.f64 (/.f64 F (.f64 (sin.f64 B) (sqrt.f64 (fma.f64 x 2 (fma.f64 F F 2))))) (/.f64 (.f64 x (cos.f64 B)) (sin.f64 B)))
▶	10.1b	(-.f64 (/.f64 F (.f64 (sin.f64 B) (sqrt.f64 (fma.f64 x 2 (fma.f64 F F 2))))) (.f64 (/.f64 x (sin.f64 B)) (cos.f64 B)))
	31.8b	(-.f64 (/.f64 F (*.f64 (sin.f64 B) (neg.f64 F))) (/.f64 x (tan.f64 B)))
✓	10.1b	(-.f64 (*.f64 F (pow.f64 (/.f64 (sin.f64 B) (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)) -1)) (/.f64 x (tan.f64 B)))
	10.8b	(-.f64 (/.f64 F (.f64 (sin.f64 B) (sqrt.f64 (fma.f64 x 2 (fma.f64 F F 2))))) (.f64 (/.f64 1 (pow.f64 (cbrt.f64 (tan.f64 B)) 2)) (/.f64 x (cbrt.f64 (tan.f64 B)))))
	27.3b	(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))
	35.9b	(-.f64 (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 x 2 (fma.f64 F F 2))))) (pow.f64 (sqrt.f64 (/.f64 x (tan.f64 B))) 2))
	10.2b	(-.f64 (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 x 2 (fma.f64 F F 2))))) (pow.f64 (/.f64 (tan.f64 B) x) -1))
	13.3b	(-.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 2 (fma.f64 F F (.f64 2 x))))) (/.f64 F (sin.f64 B))) (/.f64 x (tan.f64 B)))

Compiler

Compiled 8720 to 4898 computations (43.8% saved)

localize19.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 x 2 (fma.f64 F F 2))))
✓	0.2b	(*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))
	0.2b	(/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 x 2 (fma.f64 F F 2)))))
	18.6b	(sqrt.f64 (fma.f64 x 2 (fma.f64 F F 2)))

series22.0ms (0.2%)

Counts

1 → 24

Calls

6 calls:

7.0ms	(*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))	x	-inf
4.0ms	(*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))	x	0
3.0ms	(*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))	x	inf
3.0ms	(*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))	B	-inf
3.0ms	(*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))	B	inf

rewrite38.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

716×	`log1p-expm1-u_binary64`
716×	`expm1-log1p-u_binary64`
137×	`expm1-udef_binary64`
137×	`log1p-udef_binary64`
75×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	144	11
2	1918	11

Stop Event

1×	node limit

Counts

1 → 25

simplify42.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

466×	`fma-def_binary64`
465×	`distribute-rgt-neg-in_binary64`
385×	`distribute-lft-neg-in_binary64`
321×	`cancel-sign-sub-inv_binary64`
246×	`*-commutative_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	27	293
1	74	291
2	212	284
3	760	282
4	2879	282
5	4539	282

Stop Event

1×	node limit

Counts

49 → 33

prune289.0ms (2.5%)

Pruning

15 alts after pruning (14 fresh and 1 done)

	Pruned	Kept	Total
New	232	3	235
Fresh	2	11	13
Picked	1	0	1
Done	0	1	1
Total	235	15	250

Error

0.0b

Counts

250 → 15

Alt Table

Status	Error	Program
	10.7b	(-.f64 (/.f64 F (.f64 (sin.f64 B) (sqrt.f64 (fma.f64 x 2 (fma.f64 F F 2))))) (/.f64 (/.f64 (.f64 x (cos.f64 B)) (pow.f64 (cbrt.f64 (sin.f64 B)) 2)) (cbrt.f64 (sin.f64 B))))
✓	10.1b	(-.f64 (*.f64 F (pow.f64 (/.f64 (sin.f64 B) (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)) -1)) (/.f64 x (tan.f64 B)))
	10.4b	(-.f64 (/.f64 (/.f64 (*.f64 F (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)) (pow.f64 (cbrt.f64 (sin.f64 B)) 2)) (cbrt.f64 (sin.f64 B))) (/.f64 x (tan.f64 B)))
	29.0b	(-.f64 (*.f64 F (/.f64 (/.f64 1 F) (sin.f64 B))) (/.f64 x (tan.f64 B)))
	21.7b	(-.f64 (expm1.f64 (log1p.f64 (/.f64 F (/.f64 (sin.f64 B) (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2))))) (/.f64 x (tan.f64 B)))
	10.7b	(-.f64 (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 x 2 (fma.f64 F F 2))))) (pow.f64 (cbrt.f64 (/.f64 x (tan.f64 B))) 3))
	10.2b	(-.f64 (/.f64 F (.f64 (sin.f64 B) (sqrt.f64 (fma.f64 F F 2)))) (.f64 (/.f64 x (sin.f64 B)) (cos.f64 B)))
	31.8b	(-.f64 (/.f64 F (*.f64 (sin.f64 B) (neg.f64 F))) (/.f64 x (tan.f64 B)))
	35.3b	(-.f64 (/.f64 F (.f64 (sin.f64 B) (sqrt.f64 (fma.f64 x 2 (fma.f64 F F 2))))) (/.f64 (/.f64 (.f64 x (cos.f64 B)) (sqrt.f64 (sin.f64 B))) (sqrt.f64 (sin.f64 B))))
	10.8b	(-.f64 (/.f64 F (.f64 (sin.f64 B) (sqrt.f64 (fma.f64 x 2 (fma.f64 F F 2))))) (.f64 (/.f64 1 (pow.f64 (cbrt.f64 (tan.f64 B)) 2)) (/.f64 x (cbrt.f64 (tan.f64 B)))))
	30.1b	(-.f64 (/.f64 -1 (sin.f64 B)) (/.f64 x (tan.f64 B)))
	27.3b	(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))
	35.9b	(-.f64 (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 x 2 (fma.f64 F F 2))))) (pow.f64 (sqrt.f64 (/.f64 x (tan.f64 B))) 2))
	10.2b	(-.f64 (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 x 2 (fma.f64 F F 2))))) (pow.f64 (/.f64 (tan.f64 B) x) -1))
	13.3b	(-.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 2 (fma.f64 F F (.f64 2 x))))) (/.f64 F (sin.f64 B))) (/.f64 x (tan.f64 B)))

Compiler

Compiled 8827 to 4561 computations (48.3% saved)

regimes1.3s (11.1%)

Accuracy

Total 0.2b remaining (85.1%)

Threshold costs 0.2b (85.1%)

Counts

198 → 3

Compiler

Compiled 18612 to 13056 computations (29.9% saved)

bsearch138.0ms (1.2%)

Algorithm

2×	binary-search

Calls

2 calls:

98.0ms	F
33.0ms	F

Steps

Iters	Point		Range
1.9030236663567175e+42	∈ [	1.8710692571331446e+42	,	2.1265650426550467e+49	]
-4.651156632349768e+32	∈ [	-1.6005571123208928e+38	,	-7.2927087194113905e+31	]

Compiler

Compiled 4 to 3 computations (25% saved)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	77
1	46	77
2	63	77
3	73	77
4	80	77
5	82	77

Stop Event

1×

saturated

end252.0ms (2.2%)

Stop Event

1×

fuel

Compiler

Compiled 444 to 292 computations (34.2% saved)

Details

analyze2.3s (19.9%)

sample4.8s (42.1%)

preprocess45.0ms (0.4%)

simplify27.0ms (0.2%)

prune5.0ms (0%)

localize17.0ms (0.1%)

series254.0ms (2.2%)

rewrite64.0ms (0.6%)

simplify104.0ms (0.9%)

prune313.0ms (2.7%)

localize16.0ms (0.1%)

series242.0ms (2.1%)

rewrite63.0ms (0.6%)

simplify83.0ms (0.7%)

prune405.0ms (3.6%)

localize14.0ms (0.1%)

series159.0ms (1.4%)

rewrite58.0ms (0.5%)

simplify71.0ms (0.6%)

prune321.0ms (2.8%)

localize19.0ms (0.2%)

series22.0ms (0.2%)

rewrite38.0ms (0.3%)

simplify42.0ms (0.4%)

prune289.0ms (2.5%)

regimes1.3s (11.1%)

bsearch138.0ms (1.2%)

simplify4.0ms (0%)

end252.0ms (2.2%)

Profiling