Details

analyze2.5s (26.7%)

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
6.2%	87.4%	6.4%	9
10.9%	79.6%	9.5%	10
13.7%	73.7%	12.6%	11
17.7%	68.8%	13.4%	12
20.8%	64.1%	15.1%	13
23.1%	60.6%	16.4%	14

Compiler

Compiled 31 to 24 computations (22.6% saved)

sample4.7s (50.4%)

Results

2.3s	2312×	body	1024	valid
1.1s	4246×	body	128	valid
825.0ms	1129×	body	512	valid
281.0ms	564×	body	256	valid
203.0ms	803×	body	128	invalid
7.0ms	5×	body	2048	valid

preprocess46.0ms (0.5%)

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

Calls

Call 1

Inputs
0
1
2

Outputs
0
1
2

Call 2

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

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

Compiler

Compiled 30 to 23 computations (23.3% saved)

simplify32.0ms (0.3%)

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

Calls

Call 1

Inputs
(+.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)))))

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

eval1.0ms (0%)

Compiler: Compiled 49 to 33 computations (32.7% saved)

prune3.0ms (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

11.5b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	11.5b	(-.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)))
	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)))))

Status

Error

Program

▶

11.5b

(-.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)))

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)))))

Compiler

Compiled 104 to 76 computations (26.9% saved)

localize21.0ms (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))
✓	17.7b	(pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)

series51.0ms (0.5%)

Counts

4 → 104

Calls

30 calls:

Time	Variable		Point	Expression
3.0ms	B	@	0	(*.f64 F (/.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2) (sin.f64 B)))
3.0ms	B	@	-inf	(/.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2) (sin.f64 B))
3.0ms	x	@	inf	(/.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2) (sin.f64 B))
2.0ms	x	@	0	(/.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2) (sin.f64 B))
2.0ms	F	@	0	(/.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2) (sin.f64 B))

rewrite64.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

270×	`expm1-udef_binary64`
270×	`log1p-udef_binary64`
151×	`add-sqr-sqrt_binary64`
147×	`pow1_binary64`
146×	`*-un-lft-identity_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	55
1	299	55
2	3771	55

Stop Event

1×	node limit

Counts

4 → 108

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)) (cbrt.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1)) (cbrt.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .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))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 1 -1/2) (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x 2 (fma.f64 F F 2))) 2) -1/2) (pow.f64 (cbrt.f64 (fma.f64 x 2 (fma.f64 F F 2))) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (sqrt.f64 (fma.f64 x 2 (fma.f64 F F 2))) -1/2) (pow.f64 (sqrt.f64 (fma.f64 x 2 (fma.f64 F F 2))) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 -1/2 (log.f64 (fma.f64 x 2 (fma.f64 F F 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (*.f64 -1/2 (log.f64 (fma.f64 x 2 (fma.f64 F F 2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2) (sin.f64 B)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2) (/.f64 1 (sin.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2) (sin.f64 B)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2) (sin.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2) (sin.f64 B))) (cbrt.f64 (/.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1) (pow.f64 (sin.f64 B) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1) (pow.f64 (sin.f64 B) 2))) (cbrt.f64 (/.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2) (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1)) (.f64 (cbrt.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)) (/.f64 1 (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/4) (sqrt.f64 (sin.f64 B))) (/.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/4) (sqrt.f64 (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)) (/.f64 1 (neg.f64 (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (sin.f64 B)) (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/4) (.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/4) (/.f64 1 (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1)) 1) (/.f64 (cbrt.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)) (sin.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/4) 1) (/.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/4) (sin.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 B)) 2)) (/.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2) (cbrt.f64 (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1)) (pow.f64 (cbrt.f64 (sin.f64 B)) 2)) (cbrt.f64 (/.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2) (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/4) (pow.f64 (cbrt.f64 (sin.f64 B)) 2)) (/.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/4) (cbrt.f64 (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (sqrt.f64 (sin.f64 B))) (/.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2) (sqrt.f64 (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1)) (sqrt.f64 (sin.f64 B))) (/.f64 (cbrt.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)) (sqrt.f64 (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2) (sin.f64 B)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2) (sin.f64 B)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2) (sin.f64 B))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/4) (sqrt.f64 (sin.f64 B))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sin.f64 B) (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2) (neg.f64 (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1) (pow.f64 (sin.f64 B) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2) (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2) (sin.f64 B)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2) (sin.f64 B)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2) 3) (pow.f64 (sin.f64 B) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2) (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2) (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (/.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2) (sin.f64 B))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2) (sin.f64 B))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 F (/.f64 (sin.f64 B) (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 F (/.f64 (sin.f64 B) (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (sin.f64 B) (.f64 F (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 F (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)) (sin.f64 B))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (.f64 F (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2))) (neg.f64 (sin.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 F (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)) 1) (sin.f64 B))))) (#(struct:change #<rule egg-rr> (2) ((x /.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)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 F (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)) (sqrt.f64 (sin.f64 B))) (sqrt.f64 (sin.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (neg.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)) F) (neg.f64 (sin.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 F (neg.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2))) (neg.f64 (sin.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 F (/.f64 (sin.f64 B) (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 F (/.f64 (sin.f64 B) (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 F (/.f64 (sin.f64 B) (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 F (/.f64 (sin.f64 B) (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 F (/.f64 (sin.f64 B) (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (/.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2) (sin.f64 B))) F))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 F (/.f64 (sin.f64 B) (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 F (/.f64 (sin.f64 B) (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 F 3) (pow.f64 (/.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2) (sin.f64 B)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (/.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2) (sin.f64 B)) 3) (pow.f64 F 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 F (/.f64 (sin.f64 B) (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 F (/.f64 (sin.f64 B) (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 F (/.f64 (sin.f64 B) (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 F (/.f64 (sin.f64 B) (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 x (tan.f64 B)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 x (/.f64 1 (tan.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 x (tan.f64 B)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 x (tan.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 x (tan.f64 B))) (pow.f64 (cbrt.f64 (/.f64 x (tan.f64 B))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (/.f64 x (tan.f64 B))) 2) (cbrt.f64 (/.f64 x (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 x x)) (.f64 (cbrt.f64 x) (/.f64 1 (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (/.f64 x (tan.f64 B))) (sqrt.f64 (/.f64 x (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (/.f64 1 (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 x) (/.f64 1 (neg.f64 (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (tan.f64 B)) x)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 (.f64 x x)) 1) (/.f64 (cbrt.f64 x) (tan.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (tan.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (pow.f64 (cbrt.f64 (tan.f64 B)) 2)) (/.f64 x (cbrt.f64 (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 (.f64 x x)) (pow.f64 (cbrt.f64 (tan.f64 B)) 2)) (cbrt.f64 (/.f64 x (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (tan.f64 B)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (sqrt.f64 (tan.f64 B))) (/.f64 x (sqrt.f64 (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 (.f64 x x)) (sqrt.f64 (tan.f64 B))) (/.f64 (cbrt.f64 x) (sqrt.f64 (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 x (sin.f64 B)) (cos.f64 B))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (tan.f64 B)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 x (tan.f64 B)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 x (tan.f64 B))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 x (tan.f64 B))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (tan.f64 B) x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 x (neg.f64 (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 x (tan.f64 B)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 x (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 x (tan.f64 B)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 x (tan.f64 B)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (tan.f64 B) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 x (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 x (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 x (tan.f64 B))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 x (tan.f64 B))))))))

simplify95.0ms (1%)

Algorithm

1×	egg-herbie

Rules

769×	`times-frac_binary64`
437×	`fma-def_binary64`
287×	`*-commutative_binary64`
250×	`associate-r_binary64`
239×	`associate-l_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	437	4824
1	1457	4189
2	4753	4079

Stop Event

1×	node limit

Counts

212 → 245

Calls

Call 1

Inputs
(sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) 2)))
(+.f64 (.f64 -1 (.f64 x (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) 2) 3))))) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) 2))))
(+.f64 (.f64 -1 (.f64 x (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) 2) 3))))) (+.f64 (.f64 3/2 (.f64 (pow.f64 x 2) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) 2) 5))))) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) 2)))))
(+.f64 (.f64 -1 (.f64 x (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) 2) 3))))) (+.f64 (.f64 -5/2 (.f64 (pow.f64 x 3) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) 2) 7))))) (+.f64 (.f64 3/2 (.f64 (pow.f64 x 2) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) 2) 5))))) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) 2))))))
(exp.f64 (.f64 -1/2 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x))))))
(+.f64 (exp.f64 (.f64 -1/2 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x)))))) (.f64 -1/4 (/.f64 (.f64 (exp.f64 (.f64 -1/2 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x)))))) (+.f64 (pow.f64 F 2) 2)) x)))
(+.f64 (/.f64 (.f64 (exp.f64 (.f64 -1/2 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x)))))) (+.f64 (.f64 1/16 (pow.f64 (+.f64 (pow.f64 F 2) 2) 2)) (.f64 1/32 (pow.f64 (+.f64 (pow.f64 F 2) 2) 2)))) (pow.f64 x 2)) (+.f64 (exp.f64 (.f64 -1/2 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x)))))) (.f64 -1/4 (/.f64 (.f64 (exp.f64 (.f64 -1/2 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x)))))) (+.f64 (pow.f64 F 2) 2)) x))))
(+.f64 (/.f64 (.f64 (exp.f64 (.f64 -1/2 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x)))))) (+.f64 (.f64 1/16 (pow.f64 (+.f64 (pow.f64 F 2) 2) 2)) (.f64 1/32 (pow.f64 (+.f64 (pow.f64 F 2) 2) 2)))) (pow.f64 x 2)) (+.f64 (exp.f64 (.f64 -1/2 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x)))))) (+.f64 (.f64 -1/4 (/.f64 (.f64 (exp.f64 (.f64 -1/2 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x)))))) (+.f64 (pow.f64 F 2) 2)) x)) (/.f64 (.f64 (exp.f64 (.f64 -1/2 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x)))))) (+.f64 (.f64 -1/48 (pow.f64 (+.f64 (pow.f64 F 2) 2) 3)) (+.f64 (.f64 -1/384 (pow.f64 (+.f64 (pow.f64 F 2) 2) 3)) (*.f64 -1/64 (pow.f64 (+.f64 (pow.f64 F 2) 2) 3))))) (pow.f64 x 3)))))
(exp.f64 (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2))))
(+.f64 (exp.f64 (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2)))) (.f64 -1/4 (/.f64 (.f64 (exp.f64 (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2)))) (+.f64 (pow.f64 F 2) 2)) x)))
(+.f64 (/.f64 (.f64 (exp.f64 (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2)))) (+.f64 (.f64 1/16 (pow.f64 (+.f64 (pow.f64 F 2) 2) 2)) (.f64 1/32 (pow.f64 (+.f64 (pow.f64 F 2) 2) 2)))) (pow.f64 x 2)) (+.f64 (exp.f64 (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2)))) (.f64 -1/4 (/.f64 (.f64 (exp.f64 (.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2)))) (+.f64 (pow.f64 F 2) 2)) x))))
(+.f64 (/.f64 (.f64 (exp.f64 (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2)))) (+.f64 (.f64 1/16 (pow.f64 (+.f64 (pow.f64 F 2) 2) 2)) (.f64 1/32 (pow.f64 (+.f64 (pow.f64 F 2) 2) 2)))) (pow.f64 x 2)) (+.f64 (exp.f64 (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2)))) (+.f64 (.f64 -1/4 (/.f64 (.f64 (exp.f64 (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2)))) (+.f64 (pow.f64 F 2) 2)) x)) (.f64 -1 (/.f64 (.f64 (exp.f64 (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2)))) (+.f64 (.f64 1/48 (pow.f64 (+.f64 (pow.f64 F 2) 2) 3)) (+.f64 (.f64 1/64 (pow.f64 (+.f64 (pow.f64 F 2) 2) 3)) (.f64 1/384 (pow.f64 (+.f64 (pow.f64 F 2) 2) 3))))) (pow.f64 x 3))))))
(sqrt.f64 (/.f64 1 (+.f64 2 (*.f64 2 x))))
(+.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 2 (.f64 2 x)) 3))) (pow.f64 F 2))) (sqrt.f64 (/.f64 1 (+.f64 2 (.f64 2 x)))))
(+.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 2 (.f64 2 x)) 3))) (pow.f64 F 2))) (+.f64 (sqrt.f64 (/.f64 1 (+.f64 2 (.f64 2 x)))) (.f64 3/8 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 2 (*.f64 2 x)) 5))) (pow.f64 F 4)))))
(+.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 2 (.f64 2 x)) 3))) (pow.f64 F 2))) (+.f64 (sqrt.f64 (/.f64 1 (+.f64 2 (.f64 2 x)))) (+.f64 (.f64 3/8 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 2 (.f64 2 x)) 5))) (pow.f64 F 4))) (.f64 -5/16 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 2 (.f64 2 x)) 7))) (pow.f64 F 6))))))
(/.f64 1 F)
(+.f64 (.f64 -1/2 (/.f64 (+.f64 2 (.f64 2 x)) (pow.f64 F 3))) (/.f64 1 F))
(+.f64 (.f64 -1/2 (/.f64 (+.f64 2 (.f64 2 x)) (pow.f64 F 3))) (+.f64 (.f64 1/4 (/.f64 (pow.f64 (+.f64 2 (.f64 2 x)) 2) (pow.f64 F 5))) (+.f64 (.f64 1/8 (/.f64 (pow.f64 (+.f64 2 (.f64 2 x)) 2) (pow.f64 F 5))) (/.f64 1 F))))
(+.f64 (.f64 -1/2 (/.f64 (+.f64 2 (.f64 2 x)) (pow.f64 F 3))) (+.f64 (.f64 -1/6 (/.f64 (pow.f64 (+.f64 2 (.f64 2 x)) 3) (pow.f64 F 7))) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 (+.f64 2 (.f64 2 x)) 3) (pow.f64 F 7))) (+.f64 (.f64 -1/48 (/.f64 (pow.f64 (+.f64 2 (.f64 2 x)) 3) (pow.f64 F 7))) (+.f64 (.f64 1/4 (/.f64 (pow.f64 (+.f64 2 (.f64 2 x)) 2) (pow.f64 F 5))) (+.f64 (.f64 1/8 (/.f64 (pow.f64 (+.f64 2 (.f64 2 x)) 2) (pow.f64 F 5))) (/.f64 1 F)))))))
(/.f64 -1 F)
(-.f64 (.f64 1/2 (/.f64 (+.f64 2 (.f64 2 x)) (pow.f64 F 3))) (/.f64 1 F))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (+.f64 2 (.f64 2 x)) (pow.f64 F 3))) (.f64 -1 (/.f64 (+.f64 (.f64 1/4 (pow.f64 (+.f64 2 (.f64 2 x)) 2)) (.f64 1/8 (pow.f64 (+.f64 2 (*.f64 2 x)) 2))) (pow.f64 F 5)))) (/.f64 1 F))
(-.f64 (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1/8 (pow.f64 (+.f64 2 (.f64 2 x)) 3)) (+.f64 (.f64 -1/6 (pow.f64 (+.f64 2 (.f64 2 x)) 3)) (.f64 -1/48 (pow.f64 (+.f64 2 (.f64 2 x)) 3)))) (pow.f64 F 7))) (+.f64 (.f64 1/2 (/.f64 (+.f64 2 (.f64 2 x)) (pow.f64 F 3))) (.f64 -1 (/.f64 (+.f64 (.f64 1/4 (pow.f64 (+.f64 2 (.f64 2 x)) 2)) (.f64 1/8 (pow.f64 (+.f64 2 (.f64 2 x)) 2))) (pow.f64 F 5))))) (/.f64 1 F))
(*.f64 (/.f64 1 (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) 2))))
(+.f64 (.f64 (/.f64 1 (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) 2)))) (.f64 -1 (*.f64 (/.f64 x (sin.f64 B)) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) 2) 3))))))
(+.f64 (.f64 1/2 (.f64 (/.f64 (.f64 (-.f64 (.f64 4 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) 2) 3))) (pow.f64 (.f64 -1 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) 2) 3)))) 2)) (pow.f64 x 2)) (sin.f64 B)) (sqrt.f64 (+.f64 (pow.f64 F 2) 2)))) (+.f64 (.f64 (/.f64 1 (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) 2)))) (.f64 -1 (.f64 (/.f64 x (sin.f64 B)) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) 2) 3)))))))
(+.f64 (.f64 1/2 (.f64 (/.f64 (.f64 (-.f64 (.f64 4 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) 2) 3))) (pow.f64 (.f64 -1 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) 2) 3)))) 2)) (pow.f64 x 2)) (sin.f64 B)) (sqrt.f64 (+.f64 (pow.f64 F 2) 2)))) (+.f64 (.f64 (/.f64 1 (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) 2)))) (+.f64 (.f64 -1/2 (.f64 (/.f64 (.f64 (pow.f64 x 3) (+.f64 (.f64 8 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) 2) 4))) (.f64 -1 (/.f64 (-.f64 (.f64 4 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) 2) 3))) (pow.f64 (.f64 -1 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) 2) 3)))) 2)) (+.f64 (pow.f64 F 2) 2))))) (sin.f64 B)) (sqrt.f64 (+.f64 (pow.f64 F 2) 2)))) (.f64 -1 (*.f64 (/.f64 x (sin.f64 B)) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) 2) 3))))))))
(.f64 (/.f64 1 (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (.f64 2 x) 2))))
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(/.f64 1 (*.f64 (sin.f64 B) F))
(+.f64 (.f64 -1/2 (/.f64 (+.f64 2 (.f64 2 x)) (.f64 (sin.f64 B) (pow.f64 F 3)))) (/.f64 1 (.f64 (sin.f64 B) F)))
(+.f64 (.f64 -1/2 (/.f64 (+.f64 2 (.f64 2 x)) (.f64 (sin.f64 B) (pow.f64 F 3)))) (+.f64 (.f64 -1/2 (/.f64 (+.f64 (.f64 -1 (pow.f64 (+.f64 2 (.f64 2 x)) 2)) (pow.f64 (.f64 -1/2 (+.f64 (.f64 2 x) 2)) 2)) (.f64 (sin.f64 B) (pow.f64 F 5)))) (/.f64 1 (.f64 (sin.f64 B) F))))
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(/.f64 -1 (*.f64 (sin.f64 B) F))
(-.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 2 x) 2) (.f64 (sin.f64 B) (pow.f64 F 3)))) (/.f64 1 (.f64 (sin.f64 B) F)))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 -1 (pow.f64 (+.f64 (.f64 2 x) 2) 2)) (pow.f64 (.f64 -1/2 (+.f64 2 (.f64 2 x))) 2)) (.f64 (sin.f64 B) (pow.f64 F 5)))) (.f64 1/2 (/.f64 (+.f64 (.f64 2 x) 2) (.f64 (sin.f64 B) (pow.f64 F 3))))) (/.f64 1 (.f64 (sin.f64 B) F)))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 -1 (pow.f64 (+.f64 (.f64 2 x) 2) 2)) (pow.f64 (.f64 -1/2 (+.f64 2 (.f64 2 x))) 2)) (.f64 (sin.f64 B) (pow.f64 F 5)))) (+.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 1/2 (.f64 (+.f64 2 (.f64 2 x)) (+.f64 (.f64 -1 (pow.f64 (+.f64 2 (.f64 2 x)) 2)) (pow.f64 (.f64 -1/2 (+.f64 (.f64 2 x) 2)) 2)))) (.f64 (pow.f64 (+.f64 2 (.f64 2 x)) 2) (+.f64 (.f64 2 x) 2))) (.f64 (sin.f64 B) (pow.f64 F 7)))) (.f64 1/2 (/.f64 (+.f64 (.f64 2 x) 2) (.f64 (sin.f64 B) (pow.f64 F 3)))))) (/.f64 1 (.f64 (sin.f64 B) F)))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x))))) (/.f64 1 B))
(+.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x))))) (/.f64 1 B)) (.f64 1/6 (.f64 B (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (*.f64 2 x))))))))
(+.f64 (.f64 7/360 (.f64 (pow.f64 B 3) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x))))))) (+.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x))))) (/.f64 1 B)) (.f64 1/6 (.f64 B (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x)))))))))
(+.f64 (.f64 7/360 (.f64 (pow.f64 B 3) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x))))))) (+.f64 (.f64 31/15120 (.f64 (pow.f64 B 5) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x))))))) (+.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x))))) (/.f64 1 B)) (.f64 1/6 (.f64 B (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (*.f64 2 x))))))))))
(.f64 (/.f64 1 (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x))))))
(.f64 (/.f64 1 (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x))))))
(.f64 (/.f64 1 (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x))))))
(.f64 (/.f64 1 (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x))))))
(.f64 (/.f64 1 (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x))))))
(.f64 (/.f64 1 (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x))))))
(.f64 (/.f64 1 (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x))))))
(.f64 (/.f64 1 (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x))))))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 2 (.f64 2 x)))) (/.f64 F (sin.f64 B)))
(+.f64 (.f64 -1/2 (.f64 (/.f64 (pow.f64 F 3) (.f64 (+.f64 2 (.f64 2 x)) (sin.f64 B))) (sqrt.f64 (/.f64 1 (+.f64 (.f64 2 x) 2))))) (.f64 (sqrt.f64 (/.f64 1 (+.f64 2 (*.f64 2 x)))) (/.f64 F (sin.f64 B))))
(+.f64 (.f64 -1/2 (.f64 (/.f64 (pow.f64 F 3) (.f64 (+.f64 2 (.f64 2 x)) (sin.f64 B))) (sqrt.f64 (/.f64 1 (+.f64 (.f64 2 x) 2))))) (+.f64 (.f64 1/2 (.f64 (/.f64 (.f64 (-.f64 (/.f64 1 (.f64 (pow.f64 (+.f64 2 (.f64 2 x)) 2) (+.f64 (.f64 2 x) 2))) (pow.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 2 (.f64 2 x)))) (/.f64 1 (+.f64 (.f64 2 x) 2)))) 2)) (pow.f64 F 5)) (sin.f64 B)) (sqrt.f64 (+.f64 (.f64 2 x) 2)))) (.f64 (sqrt.f64 (/.f64 1 (+.f64 2 (.f64 2 x)))) (/.f64 F (sin.f64 B)))))
(+.f64 (.f64 -1/2 (.f64 (/.f64 (.f64 (pow.f64 F 7) (+.f64 (.f64 -1/2 (/.f64 (-.f64 (/.f64 1 (.f64 (+.f64 2 (.f64 2 x)) (pow.f64 (+.f64 (.f64 2 x) 2) 2))) (pow.f64 (.f64 -1/2 (.f64 (/.f64 1 (+.f64 2 (.f64 2 x))) (sqrt.f64 (/.f64 1 (+.f64 (.f64 2 x) 2))))) 2)) (+.f64 (.f64 2 x) 2))) (/.f64 1 (.f64 (pow.f64 (+.f64 2 (.f64 2 x)) 2) (pow.f64 (+.f64 (.f64 2 x) 2) 2))))) (sin.f64 B)) (sqrt.f64 (+.f64 (.f64 2 x) 2)))) (+.f64 (.f64 -1/2 (.f64 (/.f64 (pow.f64 F 3) (.f64 (+.f64 2 (.f64 2 x)) (sin.f64 B))) (sqrt.f64 (/.f64 1 (+.f64 (.f64 2 x) 2))))) (+.f64 (.f64 1/2 (.f64 (/.f64 (.f64 (-.f64 (/.f64 1 (.f64 (pow.f64 (+.f64 2 (.f64 2 x)) 2) (+.f64 (.f64 2 x) 2))) (pow.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 2 (.f64 2 x)))) (/.f64 1 (+.f64 (.f64 2 x) 2)))) 2)) (pow.f64 F 5)) (sin.f64 B)) (sqrt.f64 (+.f64 (.f64 2 x) 2)))) (.f64 (sqrt.f64 (/.f64 1 (+.f64 2 (.f64 2 x)))) (/.f64 F (sin.f64 B))))))
(/.f64 1 (sin.f64 B))
(+.f64 (.f64 -1/2 (/.f64 (+.f64 2 (.f64 2 x)) (*.f64 (sin.f64 B) (pow.f64 F 2)))) (/.f64 1 (sin.f64 B)))
(+.f64 (.f64 -1/2 (/.f64 (+.f64 2 (.f64 2 x)) (.f64 (sin.f64 B) (pow.f64 F 2)))) (+.f64 (.f64 -1/2 (/.f64 (+.f64 (.f64 -1 (pow.f64 (+.f64 2 (.f64 2 x)) 2)) (pow.f64 (.f64 -1/2 (+.f64 (.f64 2 x) 2)) 2)) (*.f64 (sin.f64 B) (pow.f64 F 4)))) (/.f64 1 (sin.f64 B))))
(+.f64 (.f64 -1/2 (/.f64 (+.f64 (.f64 (+.f64 2 (.f64 2 x)) (pow.f64 (+.f64 (.f64 2 x) 2) 2)) (.f64 1/2 (.f64 (+.f64 (.f64 2 x) 2) (+.f64 (.f64 -1 (pow.f64 (+.f64 (.f64 2 x) 2) 2)) (pow.f64 (.f64 -1/2 (+.f64 2 (.f64 2 x))) 2))))) (.f64 (sin.f64 B) (pow.f64 F 6)))) (+.f64 (.f64 -1/2 (/.f64 (+.f64 2 (.f64 2 x)) (.f64 (sin.f64 B) (pow.f64 F 2)))) (+.f64 (.f64 -1/2 (/.f64 (+.f64 (.f64 -1 (pow.f64 (+.f64 2 (.f64 2 x)) 2)) (pow.f64 (.f64 -1/2 (+.f64 (.f64 2 x) 2)) 2)) (*.f64 (sin.f64 B) (pow.f64 F 4)))) (/.f64 1 (sin.f64 B)))))
(/.f64 -1 (sin.f64 B))
(-.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 2 x) 2) (*.f64 (sin.f64 B) (pow.f64 F 2)))) (/.f64 1 (sin.f64 B)))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 2 x) 2) (.f64 (sin.f64 B) (pow.f64 F 2)))) (.f64 1/2 (/.f64 (+.f64 (.f64 -1 (pow.f64 (+.f64 (.f64 2 x) 2) 2)) (pow.f64 (.f64 -1/2 (+.f64 2 (.f64 2 x))) 2)) (*.f64 (sin.f64 B) (pow.f64 F 4))))) (/.f64 1 (sin.f64 B)))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 2 x) 2) (.f64 (sin.f64 B) (pow.f64 F 2)))) (+.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 1/2 (.f64 (+.f64 2 (.f64 2 x)) (+.f64 (.f64 -1 (pow.f64 (+.f64 2 (.f64 2 x)) 2)) (pow.f64 (.f64 -1/2 (+.f64 (.f64 2 x) 2)) 2)))) (.f64 (pow.f64 (+.f64 2 (.f64 2 x)) 2) (+.f64 (.f64 2 x) 2))) (.f64 (sin.f64 B) (pow.f64 F 6)))) (.f64 1/2 (/.f64 (+.f64 (.f64 -1 (pow.f64 (+.f64 (.f64 2 x) 2) 2)) (pow.f64 (.f64 -1/2 (+.f64 2 (.f64 2 x))) 2)) (*.f64 (sin.f64 B) (pow.f64 F 4)))))) (/.f64 1 (sin.f64 B)))
(*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) 2))))
(+.f64 (.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) 2)))) (.f64 -1 (.f64 (/.f64 (.f64 F x) (sin.f64 B)) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) 2) 3))))))
(+.f64 (.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) 2)))) (+.f64 (.f64 1/2 (.f64 (/.f64 (.f64 F (.f64 (-.f64 (.f64 4 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) 2) 3))) (pow.f64 (.f64 -1 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) 2) 3)))) 2)) (pow.f64 x 2))) (sin.f64 B)) (sqrt.f64 (+.f64 (pow.f64 F 2) 2)))) (.f64 -1 (.f64 (/.f64 (.f64 F x) (sin.f64 B)) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) 2) 3)))))))
(+.f64 (.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) 2)))) (+.f64 (.f64 1/2 (.f64 (/.f64 (.f64 F (.f64 (-.f64 (.f64 4 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) 2) 3))) (pow.f64 (.f64 -1 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) 2) 3)))) 2)) (pow.f64 x 2))) (sin.f64 B)) (sqrt.f64 (+.f64 (pow.f64 F 2) 2)))) (+.f64 (.f64 -1 (.f64 (/.f64 (.f64 F x) (sin.f64 B)) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) 2) 3))))) (.f64 -1/2 (.f64 (/.f64 (.f64 F (.f64 (+.f64 (.f64 8 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) 2) 4))) (.f64 -1 (/.f64 (-.f64 (.f64 4 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) 2) 3))) (pow.f64 (.f64 -1 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) 2) 3)))) 2)) (+.f64 (pow.f64 F 2) 2)))) (pow.f64 x 3))) (sin.f64 B)) (sqrt.f64 (+.f64 (pow.f64 F 2) 2)))))))
(.f64 (/.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x))))))
(+.f64 (.f64 (/.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x)))))) (.f64 1/6 (.f64 (.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x))))))))
(+.f64 (.f64 (/.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x)))))) (+.f64 (.f64 1/6 (.f64 (.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x))))))) (.f64 -1 (.f64 (.f64 (+.f64 (.f64 1/120 F) (.f64 -1/36 F)) (pow.f64 B 3)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x)))))))))
(+.f64 (.f64 (/.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x)))))) (+.f64 (.f64 1/6 (.f64 (.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x))))))) (+.f64 (.f64 -1 (.f64 (.f64 (+.f64 (.f64 1/6 (+.f64 (.f64 1/120 F) (.f64 -1/36 F))) (+.f64 (.f64 1/720 F) (.f64 -1/5040 F))) (pow.f64 B 5)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x))))))) (.f64 -1 (.f64 (.f64 (+.f64 (.f64 1/120 F) (.f64 -1/36 F)) (pow.f64 B 3)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (*.f64 2 x))))))))))
(.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x))))))
(.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x))))))
(.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x))))))
(.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x))))))
(.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x))))))
(.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x))))))
(.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x))))))
(.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x))))))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 x B)
(+.f64 (/.f64 x B) (.f64 -1/3 (.f64 B x)))
(+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1/9 x) (.f64 2/15 x)) (pow.f64 B 3))) (+.f64 (/.f64 x B) (.f64 -1/3 (.f64 B x))))
(+.f64 (.f64 -1 (.f64 (+.f64 (.f64 17/315 x) (+.f64 (.f64 -2/45 x) (.f64 -1/3 (+.f64 (.f64 -1/9 x) (.f64 2/15 x))))) (pow.f64 B 5))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1/9 x) (.f64 2/15 x)) (pow.f64 B 3))) (+.f64 (/.f64 x B) (.f64 -1/3 (*.f64 B x)))))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))

Outputs
(sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) 2)))
(sqrt.f64 (/.f64 1 (+.f64 2 (*.f64 F F))))
(sqrt.f64 (/.f64 1 (fma.f64 F F 2)))
(+.f64 (.f64 -1 (.f64 x (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) 2) 3))))) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) 2))))
(fma.f64 -1 (.f64 x (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 2 (.f64 F F)) 3)))) (sqrt.f64 (/.f64 1 (+.f64 2 (*.f64 F F)))))
(-.f64 (sqrt.f64 (/.f64 1 (fma.f64 F F 2))) (*.f64 x (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 F F 2) 3)))))
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(.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 F F) (fma.f64 2 x 2)))) (/.f64 F (sin.f64 B)))
(*.f64 (sqrt.f64 (/.f64 1 (fma.f64 F F (fma.f64 2 x 2)))) (/.f64 F (sin.f64 B)))
(.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x))))))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 F F) (fma.f64 2 x 2)))) (/.f64 F (sin.f64 B)))
(*.f64 (sqrt.f64 (/.f64 1 (fma.f64 F F (fma.f64 2 x 2)))) (/.f64 F (sin.f64 B)))
(.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x))))))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 F F) (fma.f64 2 x 2)))) (/.f64 F (sin.f64 B)))
(*.f64 (sqrt.f64 (/.f64 1 (fma.f64 F F (fma.f64 2 x 2)))) (/.f64 F (sin.f64 B)))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(/.f64 x B)
(+.f64 (/.f64 x B) (.f64 -1/3 (.f64 B x)))
(+.f64 (/.f64 x B) (.f64 -1/3 (.f64 x B)))
(fma.f64 -1/3 (*.f64 x B) (/.f64 x B))
(+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1/9 x) (.f64 2/15 x)) (pow.f64 B 3))) (+.f64 (/.f64 x B) (.f64 -1/3 (.f64 B x))))
(fma.f64 -1 (.f64 (pow.f64 B 3) (.f64 x 1/45)) (+.f64 (/.f64 x B) (.f64 -1/3 (.f64 x B))))
(-.f64 (fma.f64 -1/3 (.f64 x B) (/.f64 x B)) (.f64 x (*.f64 1/45 (pow.f64 B 3))))
(+.f64 (.f64 -1 (.f64 (+.f64 (.f64 17/315 x) (+.f64 (.f64 -2/45 x) (.f64 -1/3 (+.f64 (.f64 -1/9 x) (.f64 2/15 x))))) (pow.f64 B 5))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1/9 x) (.f64 2/15 x)) (pow.f64 B 3))) (+.f64 (/.f64 x B) (.f64 -1/3 (*.f64 B x)))))
(fma.f64 -1 (.f64 (pow.f64 B 5) (fma.f64 17/315 x (fma.f64 -2/45 x (.f64 -1/3 (.f64 x 1/45))))) (fma.f64 -1 (.f64 (pow.f64 B 3) (.f64 x 1/45)) (+.f64 (/.f64 x B) (.f64 -1/3 (*.f64 x B)))))
(-.f64 (-.f64 (fma.f64 -1/3 (.f64 x B) (/.f64 x B)) (.f64 x (.f64 1/45 (pow.f64 B 3)))) (.f64 (pow.f64 B 5) (+.f64 (.f64 x -1/135) (.f64 x 1/105))))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))

eval170.0ms (1.8%)

Compiler: Compiled 9475 to 6158 computations (35% saved)

prune120.0ms (1.3%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	231	14	245
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	233	14	247

Error

0.0b

Counts

247 → 14

Alt Table

Click to see full alt table

Status	Error	Program
	11.9b	(-.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)))
	11.6b	(-.f64 (*.f64 F (/.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2) (sin.f64 B))) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
	34.0b	(-.f64 (*.f64 F (/.f64 (/.f64 1 F) (sin.f64 B))) (/.f64 x (tan.f64 B)))
	11.6b	(-.f64 (.f64 F (/.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2) (sin.f64 B))) (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B)))
	32.8b	(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))
	11.6b	(-.f64 (.f64 F (.f64 (/.f64 1 (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) 2))))) (/.f64 x (tan.f64 B)))
	35.6b	(-.f64 (cbrt.f64 (*.f64 (pow.f64 (/.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2) (sin.f64 B)) 3) (pow.f64 F 3))) (/.f64 x (tan.f64 B)))
	11.6b	(-.f64 (.f64 F (/.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2) (sin.f64 B))) (.f64 (/.f64 1 (tan.f64 B)) x))
	11.5b	(-.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)))
	31.1b	(-.f64 (/.f64 -1 (sin.f64 B)) (/.f64 x (tan.f64 B)))
	11.6b	(-.f64 (.f64 F (.f64 (/.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/4) 1) (/.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/4) (sin.f64 B)))) (/.f64 x (tan.f64 B)))
	31.2b	(-.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))))
▶	11.5b	(-.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)))
	11.6b	(-.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))

Compiler

Compiled 650 to 454 computations (30.2% saved)

localize17.0ms (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 (sin.f64 B) (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)))
✓	0.3b	(/.f64 (sin.f64 B) (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2))
	17.7b	(pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)

series13.0ms (0.1%)

Counts

2 → 56

Calls

18 calls:

Time	Variable		Point	Expression
1.0ms	F	@	0	(/.f64 (sin.f64 B) (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2))
1.0ms	x	@	inf	(/.f64 (sin.f64 B) (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2))
1.0ms	B	@	0	(/.f64 (sin.f64 B) (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2))
1.0ms	F	@	inf	(/.f64 (sin.f64 B) (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2))
1.0ms	x	@	0	(/.f64 (sin.f64 B) (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2))

rewrite56.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

623×	`log-prod_binary64`
228×	`expm1-udef_binary64`
228×	`log1p-udef_binary64`
195×	`log-pow_binary64`
131×	`prod-diff_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	37
1	258	35
2	3298	35

Stop Event

1×	node limit

Counts

2 → 82

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (sin.f64 B) (sqrt.f64 (fma.f64 x 2 (fma.f64 F F 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (pow.f64 (exp.f64 (sin.f64 B)) (sqrt.f64 (fma.f64 x 2 (fma.f64 F F 2))))) (cbrt.f64 (pow.f64 (exp.f64 (sin.f64 B)) (sqrt.f64 (fma.f64 x 2 (fma.f64 F F 2))))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sin.f64 B)) (sqrt.f64 (fma.f64 x 2 (fma.f64 F F 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sin.f64 B)) (sqrt.f64 (fma.f64 x 2 (fma.f64 F F 2)))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sin.f64 B)) (sqrt.f64 (fma.f64 x 2 (fma.f64 F F 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (sin.f64 B) (sqrt.f64 (fma.f64 x 2 (fma.f64 F F 2)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sin.f64 B) (sqrt.f64 (fma.f64 x 2 (fma.f64 F F 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sin.f64 B) (sqrt.f64 (fma.f64 x 2 (fma.f64 F F 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (.f64 (sin.f64 B) (sqrt.f64 (fma.f64 x 2 (fma.f64 F F 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 (sin.f64 B) (sqrt.f64 (fma.f64 x 2 (fma.f64 F F 2))))) (cbrt.f64 (.f64 (pow.f64 (sin.f64 B) 2) (fma.f64 x 2 (fma.f64 F F 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 (pow.f64 (sin.f64 B) 2) (fma.f64 x 2 (fma.f64 F F 2)))) (cbrt.f64 (.f64 (sin.f64 B) (sqrt.f64 (fma.f64 x 2 (fma.f64 F F 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (sin.f64 B)) 2) (.f64 (cbrt.f64 (sin.f64 B)) (sqrt.f64 (fma.f64 x 2 (fma.f64 F F 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 (sin.f64 B) (sqrt.f64 (fma.f64 x 2 (fma.f64 F F 2))))) (sqrt.f64 (.f64 (sin.f64 B) (sqrt.f64 (fma.f64 x 2 (fma.f64 F F 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (fma.f64 x 2 (fma.f64 F F 2))) (sin.f64 B))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (sin.f64 B)) (.f64 (sqrt.f64 (sin.f64 B)) (sqrt.f64 (fma.f64 x 2 (fma.f64 F F 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (sin.f64 B)) (/.f64 1 (neg.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 B)) 2) 1) (/.f64 (cbrt.f64 (sin.f64 B)) (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (sin.f64 B)) 1) (/.f64 (sqrt.f64 (sin.f64 B)) (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (cbrt.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1))) (/.f64 (sin.f64 B) (cbrt.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 B)) 2) (cbrt.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1))) (cbrt.f64 (.f64 (sin.f64 B) (sqrt.f64 (fma.f64 x 2 (fma.f64 F F 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (sin.f64 B)) (cbrt.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1))) (/.f64 (sqrt.f64 (sin.f64 B)) (cbrt.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/4)) (/.f64 (sin.f64 B) (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 B)) 2) (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/4)) (/.f64 (cbrt.f64 (sin.f64 B)) (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (sin.f64 B) (sqrt.f64 (fma.f64 x 2 (fma.f64 F F 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (sin.f64 B) (sqrt.f64 (fma.f64 x 2 (fma.f64 F F 2)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 (sin.f64 B) (sqrt.f64 (fma.f64 x 2 (fma.f64 F F 2))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 (sin.f64 B) (sqrt.f64 (fma.f64 x 2 (fma.f64 F F 2))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2) (sin.f64 B)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (sin.f64 B) (neg.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 (pow.f64 (sin.f64 B) 2) (fma.f64 x 2 (fma.f64 F F 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (sin.f64 B)) (sqrt.f64 (fma.f64 x 2 (fma.f64 F F 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 (sin.f64 B) (sqrt.f64 (fma.f64 x 2 (fma.f64 F F 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 (sin.f64 B) (sqrt.f64 (fma.f64 x 2 (fma.f64 F F 2)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (sin.f64 B) 3) (pow.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 (sin.f64 B) (sqrt.f64 (fma.f64 x 2 (fma.f64 F F 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 (sin.f64 B) (sqrt.f64 (fma.f64 x 2 (fma.f64 F F 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 (sin.f64 B) (sqrt.f64 (fma.f64 x 2 (fma.f64 F F 2))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 x 2 (fma.f64 F F 2))))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 F (.f64 (sin.f64 B) (sqrt.f64 (fma.f64 x 2 (fma.f64 F F 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (/.f64 F (.f64 (sin.f64 B) (sqrt.f64 (fma.f64 x 2 (fma.f64 F F 2))))))) (cbrt.f64 (exp.f64 (/.f64 F (.f64 (sin.f64 B) (sqrt.f64 (fma.f64 x 2 (fma.f64 F F 2))))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 F (.f64 (sin.f64 B) (sqrt.f64 (fma.f64 x 2 (fma.f64 F F 2)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 F (.f64 (sin.f64 B) (sqrt.f64 (fma.f64 x 2 (fma.f64 F F 2)))))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 F (.f64 (sin.f64 B) (sqrt.f64 (fma.f64 x 2 (fma.f64 F F 2)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 F (.f64 (sin.f64 B) (sqrt.f64 (fma.f64 x 2 (fma.f64 F F 2))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 F (/.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2) (sin.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2) (/.f64 F (sin.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 F (.f64 (sin.f64 B) (sqrt.f64 (fma.f64 x 2 (fma.f64 F F 2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 F (.f64 (sin.f64 B) (sqrt.f64 (fma.f64 x 2 (fma.f64 F F 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 F (.f64 (sin.f64 B) (sqrt.f64 (fma.f64 x 2 (fma.f64 F F 2)))))) (pow.f64 (cbrt.f64 (/.f64 F (.f64 (sin.f64 B) (sqrt.f64 (fma.f64 x 2 (fma.f64 F F 2)))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (/.f64 F (.f64 (sin.f64 B) (sqrt.f64 (fma.f64 x 2 (fma.f64 F F 2)))))) 2) (cbrt.f64 (/.f64 F (.f64 (sin.f64 B) (sqrt.f64 (fma.f64 x 2 (fma.f64 F F 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 F) 2) (.f64 (cbrt.f64 F) (/.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2) (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) 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Outputs

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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 x 2 (fma.f64 F F 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 x 2 (fma.f64 F F 2))))))) (cbrt.f64 (exp.f64 (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 x 2 (fma.f64 F F 2))))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 x 2 (fma.f64 F F 2)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 x 2 (fma.f64 F F 2)))))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 x 2 (fma.f64 F F 2)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 x 2 (fma.f64 F F 2))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 F (/.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2) (sin.f64 B)))))) 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(pow.f64 (sin.f64 B) 2) (fma.f64 x 2 (fma.f64 F F 2))))) (/.f64 (sqrt.f64 F) (cbrt.f64 (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 x 2 (fma.f64 F F 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 x 2 (fma.f64 F F 2)))))) (/.f64 F (sqrt.f64 (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 x 2 (fma.f64 F F 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 F) 2) (sqrt.f64 (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 x 2 (fma.f64 F F 2)))))) (/.f64 (cbrt.f64 F) (sqrt.f64 (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 x 2 (fma.f64 F F 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 F 1) (/.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2) (sin.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 F (neg.f64 (sin.f64 B))) (neg.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 F (sin.f64 B)) 1) (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 F (sin.f64 B)) (cbrt.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1))) (cbrt.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 F (sin.f64 B)) (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))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 x 2 (fma.f64 F F 2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 x 2 (fma.f64 F F 2))))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 x 2 (fma.f64 F F 2)))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 x 2 (fma.f64 F F 2)))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sin.f64 B) (/.f64 F (sqrt.f64 (fma.f64 x 2 (fma.f64 F F 2))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 F (*.f64 (neg.f64 (sin.f64 B)) (sqrt.f64 (fma.f64 x 2 (fma.f64 F F 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 x 2 (fma.f64 F F 2))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 x 2 (fma.f64 F F 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 x 2 (fma.f64 F F 2))))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 x 2 (fma.f64 F F 2))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 F 3) (pow.f64 (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 x 2 (fma.f64 F F 2)))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 x 2 (fma.f64 F F 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 x 2 (fma.f64 F F 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 x 2 (fma.f64 F F 2)))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 x 2 (fma.f64 F F 2)))))))))))

simplify58.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

576×	`times-frac_binary64`
474×	`distribute-rgt-in_binary64`
256×	`fma-def_binary64`
198×	`*-commutative_binary64`
162×	`associate-r_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	264	2690
1	924	2368
2	2900	2167

Stop Event

1×	node limit

Counts

138 → 164

Calls

Call 1

Inputs
(.f64 (sqrt.f64 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x)))) B)
(+.f64 (.f64 -1/6 (.f64 (pow.f64 B 3) (sqrt.f64 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x)))))) (.f64 (sqrt.f64 (+.f64 (pow.f64 F 2) (+.f64 2 (*.f64 2 x)))) B))
(+.f64 (.f64 1/120 (.f64 (pow.f64 B 5) (sqrt.f64 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x)))))) (+.f64 (.f64 -1/6 (.f64 (pow.f64 B 3) (sqrt.f64 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x)))))) (.f64 (sqrt.f64 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x)))) B)))
(+.f64 (.f64 1/120 (.f64 (pow.f64 B 5) (sqrt.f64 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x)))))) (+.f64 (.f64 -1/6 (.f64 (pow.f64 B 3) (sqrt.f64 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x)))))) (+.f64 (.f64 -1/5040 (.f64 (pow.f64 B 7) (sqrt.f64 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x)))))) (.f64 (sqrt.f64 (+.f64 (pow.f64 F 2) (+.f64 2 (*.f64 2 x)))) B))))
(.f64 (sin.f64 B) (sqrt.f64 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x)))))
(.f64 (sin.f64 B) (sqrt.f64 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x)))))
(.f64 (sin.f64 B) (sqrt.f64 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x)))))
(.f64 (sin.f64 B) (sqrt.f64 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x)))))
(.f64 (sin.f64 B) (sqrt.f64 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x)))))
(.f64 (sin.f64 B) (sqrt.f64 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x)))))
(.f64 (sin.f64 B) (sqrt.f64 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x)))))
(.f64 (sin.f64 B) (sqrt.f64 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x)))))
(*.f64 (sin.f64 B) (sqrt.f64 (+.f64 (pow.f64 F 2) 2)))
(+.f64 (.f64 (.f64 (sin.f64 B) x) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) 2)))) (*.f64 (sin.f64 B) (sqrt.f64 (+.f64 (pow.f64 F 2) 2))))
(+.f64 (.f64 -1/2 (.f64 (.f64 (sin.f64 B) (pow.f64 x 2)) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) 2) 3))))) (+.f64 (.f64 (.f64 (sin.f64 B) x) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) 2)))) (.f64 (sin.f64 B) (sqrt.f64 (+.f64 (pow.f64 F 2) 2)))))
(+.f64 (.f64 1/2 (.f64 (.f64 (sin.f64 B) (pow.f64 x 3)) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) 2) 5))))) (+.f64 (.f64 -1/2 (.f64 (.f64 (sin.f64 B) (pow.f64 x 2)) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) 2) 3))))) (+.f64 (.f64 (.f64 (sin.f64 B) x) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) 2)))) (*.f64 (sin.f64 B) (sqrt.f64 (+.f64 (pow.f64 F 2) 2))))))
(.f64 (sqrt.f64 (+.f64 2 (.f64 2 x))) (sin.f64 B))
(+.f64 (.f64 1/2 (.f64 (.f64 (sin.f64 B) (pow.f64 F 2)) (sqrt.f64 (/.f64 1 (+.f64 (.f64 2 x) 2))))) (.f64 (sqrt.f64 (+.f64 2 (.f64 2 x))) (sin.f64 B)))
(+.f64 (.f64 1/2 (.f64 (.f64 (sin.f64 B) (pow.f64 F 2)) (sqrt.f64 (/.f64 1 (+.f64 (.f64 2 x) 2))))) (+.f64 (.f64 (sqrt.f64 (+.f64 2 (.f64 2 x))) (sin.f64 B)) (.f64 -1/8 (.f64 (/.f64 (.f64 (sin.f64 B) (pow.f64 F 4)) (+.f64 2 (.f64 2 x))) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 2 x) 2)))))))
(+.f64 (.f64 1/2 (.f64 (.f64 (sin.f64 B) (pow.f64 F 2)) (sqrt.f64 (/.f64 1 (+.f64 (.f64 2 x) 2))))) (+.f64 (.f64 1/16 (.f64 (/.f64 (.f64 (sin.f64 B) (pow.f64 F 6)) (+.f64 2 (.f64 2 x))) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 2 x) 2) 3))))) (+.f64 (.f64 (sqrt.f64 (+.f64 2 (.f64 2 x))) (sin.f64 B)) (.f64 -1/8 (.f64 (/.f64 (.f64 (sin.f64 B) (pow.f64 F 4)) (+.f64 2 (.f64 2 x))) (sqrt.f64 (/.f64 1 (+.f64 (.f64 2 x) 2))))))))
(*.f64 (sin.f64 B) F)
(+.f64 (.f64 (sin.f64 B) F) (.f64 1/2 (/.f64 (.f64 (+.f64 2 (.f64 2 x)) (sin.f64 B)) F)))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (sin.f64 B) (pow.f64 (+.f64 (.f64 2 x) 2) 2)) (pow.f64 F 3))) (+.f64 (.f64 (sin.f64 B) F) (.f64 1/2 (/.f64 (.f64 (+.f64 2 (*.f64 2 x)) (sin.f64 B)) F))))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (sin.f64 B) (pow.f64 (+.f64 (.f64 2 x) 2) 2)) (pow.f64 F 3))) (+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 (+.f64 2 (.f64 2 x)) 2) (.f64 (sin.f64 B) (+.f64 (.f64 2 x) 2))) (pow.f64 F 5))) (+.f64 (.f64 (sin.f64 B) F) (.f64 1/2 (/.f64 (.f64 (+.f64 2 (.f64 2 x)) (sin.f64 B)) F)))))
(.f64 -1 (.f64 (sin.f64 B) F))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (sin.f64 B) (+.f64 (.f64 2 x) 2)) F)) (.f64 -1 (*.f64 (sin.f64 B) F)))
(+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 (+.f64 2 (.f64 2 x)) 2) (sin.f64 B)) (pow.f64 F 3))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (sin.f64 B) (+.f64 (.f64 2 x) 2)) F)) (.f64 -1 (.f64 (sin.f64 B) F))))
(+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 (+.f64 2 (.f64 2 x)) 2) (sin.f64 B)) (pow.f64 F 3))) (+.f64 (.f64 -1/16 (/.f64 (.f64 (+.f64 2 (.f64 2 x)) (.f64 (sin.f64 B) (pow.f64 (+.f64 (.f64 2 x) 2) 2))) (pow.f64 F 5))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (sin.f64 B) (+.f64 (.f64 2 x) 2)) F)) (.f64 -1 (*.f64 (sin.f64 B) F)))))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 2 (.f64 2 x)))) (/.f64 F (sin.f64 B)))
(+.f64 (.f64 -1/2 (.f64 (/.f64 (pow.f64 F 3) (.f64 (+.f64 2 (.f64 2 x)) (sin.f64 B))) (sqrt.f64 (/.f64 1 (+.f64 (.f64 2 x) 2))))) (.f64 (sqrt.f64 (/.f64 1 (+.f64 2 (*.f64 2 x)))) (/.f64 F (sin.f64 B))))
(+.f64 (.f64 -1/2 (.f64 (/.f64 (pow.f64 F 3) (.f64 (+.f64 2 (.f64 2 x)) (sin.f64 B))) (sqrt.f64 (/.f64 1 (+.f64 (.f64 2 x) 2))))) (+.f64 (.f64 1/2 (.f64 (/.f64 (.f64 (-.f64 (/.f64 1 (.f64 (pow.f64 (+.f64 2 (.f64 2 x)) 2) (+.f64 (.f64 2 x) 2))) (pow.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 2 (.f64 2 x)))) (/.f64 1 (+.f64 (.f64 2 x) 2)))) 2)) (pow.f64 F 5)) (sin.f64 B)) (sqrt.f64 (+.f64 (.f64 2 x) 2)))) (.f64 (sqrt.f64 (/.f64 1 (+.f64 2 (.f64 2 x)))) (/.f64 F (sin.f64 B)))))
(+.f64 (.f64 -1/2 (.f64 (/.f64 (.f64 (pow.f64 F 7) (+.f64 (.f64 -1/2 (/.f64 (-.f64 (/.f64 1 (.f64 (+.f64 2 (.f64 2 x)) (pow.f64 (+.f64 (.f64 2 x) 2) 2))) (pow.f64 (.f64 -1/2 (.f64 (/.f64 1 (+.f64 2 (.f64 2 x))) (sqrt.f64 (/.f64 1 (+.f64 (.f64 2 x) 2))))) 2)) (+.f64 (.f64 2 x) 2))) (/.f64 1 (.f64 (pow.f64 (+.f64 2 (.f64 2 x)) 2) (pow.f64 (+.f64 (.f64 2 x) 2) 2))))) (sin.f64 B)) (sqrt.f64 (+.f64 (.f64 2 x) 2)))) (+.f64 (.f64 -1/2 (.f64 (/.f64 (pow.f64 F 3) (.f64 (+.f64 2 (.f64 2 x)) (sin.f64 B))) (sqrt.f64 (/.f64 1 (+.f64 (.f64 2 x) 2))))) (+.f64 (.f64 1/2 (.f64 (/.f64 (.f64 (-.f64 (/.f64 1 (.f64 (pow.f64 (+.f64 2 (.f64 2 x)) 2) (+.f64 (.f64 2 x) 2))) (pow.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 2 (.f64 2 x)))) (/.f64 1 (+.f64 (.f64 2 x) 2)))) 2)) (pow.f64 F 5)) (sin.f64 B)) (sqrt.f64 (+.f64 (.f64 2 x) 2)))) (.f64 (sqrt.f64 (/.f64 1 (+.f64 2 (.f64 2 x)))) (/.f64 F (sin.f64 B))))))
(/.f64 1 (sin.f64 B))
(+.f64 (.f64 -1/2 (/.f64 (+.f64 2 (.f64 2 x)) (*.f64 (sin.f64 B) (pow.f64 F 2)))) (/.f64 1 (sin.f64 B)))
(+.f64 (.f64 -1/2 (/.f64 (+.f64 2 (.f64 2 x)) (.f64 (sin.f64 B) (pow.f64 F 2)))) (+.f64 (.f64 -1/2 (/.f64 (+.f64 (.f64 -1 (pow.f64 (+.f64 2 (.f64 2 x)) 2)) (pow.f64 (.f64 -1/2 (+.f64 (.f64 2 x) 2)) 2)) (*.f64 (sin.f64 B) (pow.f64 F 4)))) (/.f64 1 (sin.f64 B))))
(+.f64 (.f64 -1/2 (/.f64 (+.f64 (.f64 (+.f64 2 (.f64 2 x)) (pow.f64 (+.f64 (.f64 2 x) 2) 2)) (.f64 1/2 (.f64 (+.f64 (.f64 2 x) 2) (+.f64 (.f64 -1 (pow.f64 (+.f64 (.f64 2 x) 2) 2)) (pow.f64 (.f64 -1/2 (+.f64 2 (.f64 2 x))) 2))))) (.f64 (sin.f64 B) (pow.f64 F 6)))) (+.f64 (.f64 -1/2 (/.f64 (+.f64 2 (.f64 2 x)) (.f64 (sin.f64 B) (pow.f64 F 2)))) (+.f64 (.f64 -1/2 (/.f64 (+.f64 (.f64 -1 (pow.f64 (+.f64 2 (.f64 2 x)) 2)) (pow.f64 (.f64 -1/2 (+.f64 (.f64 2 x) 2)) 2)) (*.f64 (sin.f64 B) (pow.f64 F 4)))) (/.f64 1 (sin.f64 B)))))
(/.f64 -1 (sin.f64 B))
(-.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 2 x) 2) (*.f64 (sin.f64 B) (pow.f64 F 2)))) (/.f64 1 (sin.f64 B)))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 2 x) 2) (.f64 (sin.f64 B) (pow.f64 F 2)))) (.f64 1/2 (/.f64 (+.f64 (.f64 -1 (pow.f64 (+.f64 (.f64 2 x) 2) 2)) (pow.f64 (.f64 -1/2 (+.f64 2 (.f64 2 x))) 2)) (*.f64 (sin.f64 B) (pow.f64 F 4))))) (/.f64 1 (sin.f64 B)))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 2 x) 2) (.f64 (sin.f64 B) (pow.f64 F 2)))) (+.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 1/2 (.f64 (+.f64 2 (.f64 2 x)) (+.f64 (.f64 -1 (pow.f64 (+.f64 2 (.f64 2 x)) 2)) (pow.f64 (.f64 -1/2 (+.f64 (.f64 2 x) 2)) 2)))) (.f64 (pow.f64 (+.f64 2 (.f64 2 x)) 2) (+.f64 (.f64 2 x) 2))) (.f64 (sin.f64 B) (pow.f64 F 6)))) (.f64 1/2 (/.f64 (+.f64 (.f64 -1 (pow.f64 (+.f64 (.f64 2 x) 2) 2)) (pow.f64 (.f64 -1/2 (+.f64 2 (.f64 2 x))) 2)) (*.f64 (sin.f64 B) (pow.f64 F 4)))))) (/.f64 1 (sin.f64 B)))
(.f64 (/.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x))))))
(+.f64 (.f64 (/.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x)))))) (.f64 1/6 (.f64 (.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x))))))))
(+.f64 (.f64 (/.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x)))))) (+.f64 (.f64 1/6 (.f64 (.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x))))))) (.f64 -1 (.f64 (.f64 (+.f64 (.f64 1/120 F) (.f64 -1/36 F)) (pow.f64 B 3)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x)))))))))
(+.f64 (.f64 (/.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x)))))) (+.f64 (.f64 1/6 (.f64 (.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x))))))) (+.f64 (.f64 -1 (.f64 (.f64 (+.f64 (.f64 1/6 (+.f64 (.f64 1/120 F) (.f64 -1/36 F))) (+.f64 (.f64 1/720 F) (.f64 -1/5040 F))) (pow.f64 B 5)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x))))))) (.f64 -1 (.f64 (.f64 (+.f64 (.f64 1/120 F) (.f64 -1/36 F)) (pow.f64 B 3)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (*.f64 2 x))))))))))
(.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x))))))
(.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x))))))
(.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x))))))
(.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x))))))
(.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x))))))
(.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x))))))
(.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x))))))
(.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x))))))
(*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) 2))))
(+.f64 (.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) 2)))) (.f64 -1 (.f64 (/.f64 (.f64 F x) (sin.f64 B)) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) 2) 3))))))
(+.f64 (.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) 2)))) (+.f64 (.f64 1/2 (.f64 (/.f64 (.f64 F (.f64 (-.f64 (.f64 4 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) 2) 3))) (pow.f64 (.f64 -1 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) 2) 3)))) 2)) (pow.f64 x 2))) (sin.f64 B)) (sqrt.f64 (+.f64 (pow.f64 F 2) 2)))) (.f64 -1 (.f64 (/.f64 (.f64 F x) (sin.f64 B)) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) 2) 3)))))))
(+.f64 (.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) 2)))) (+.f64 (.f64 1/2 (.f64 (/.f64 (.f64 F (.f64 (-.f64 (.f64 4 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) 2) 3))) (pow.f64 (.f64 -1 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) 2) 3)))) 2)) (pow.f64 x 2))) (sin.f64 B)) (sqrt.f64 (+.f64 (pow.f64 F 2) 2)))) (+.f64 (.f64 -1 (.f64 (/.f64 (.f64 F x) (sin.f64 B)) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) 2) 3))))) (.f64 -1/2 (.f64 (/.f64 (.f64 F (.f64 (+.f64 (.f64 8 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) 2) 4))) (.f64 -1 (/.f64 (-.f64 (.f64 4 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) 2) 3))) (pow.f64 (.f64 -1 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) 2) 3)))) 2)) (+.f64 (pow.f64 F 2) 2)))) (pow.f64 x 3))) (sin.f64 B)) (sqrt.f64 (+.f64 (pow.f64 F 2) 2)))))))

Outputs
(.f64 (sqrt.f64 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x)))) B)
(.f64 (sqrt.f64 (+.f64 (.f64 F F) (fma.f64 2 x 2))) B)
(*.f64 (sqrt.f64 (fma.f64 F F (fma.f64 2 x 2))) B)
(*.f64 (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2))) B)
(+.f64 (.f64 -1/6 (.f64 (pow.f64 B 3) (sqrt.f64 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x)))))) (.f64 (sqrt.f64 (+.f64 (pow.f64 F 2) (+.f64 2 (*.f64 2 x)))) B))
(fma.f64 -1/6 (.f64 (sqrt.f64 (+.f64 (.f64 F F) (fma.f64 2 x 2))) (pow.f64 B 3)) (.f64 (sqrt.f64 (+.f64 (.f64 F F) (fma.f64 2 x 2))) B))
(.f64 (sqrt.f64 (fma.f64 F F (fma.f64 2 x 2))) (+.f64 (.f64 -1/6 (pow.f64 B 3)) B))
(.f64 (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2))) (+.f64 B (.f64 -1/6 (pow.f64 B 3))))
(+.f64 (.f64 1/120 (.f64 (pow.f64 B 5) (sqrt.f64 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x)))))) (+.f64 (.f64 -1/6 (.f64 (pow.f64 B 3) (sqrt.f64 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x)))))) (.f64 (sqrt.f64 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x)))) B)))
(fma.f64 1/120 (.f64 (sqrt.f64 (+.f64 (.f64 F F) (fma.f64 2 x 2))) (pow.f64 B 5)) (fma.f64 -1/6 (.f64 (sqrt.f64 (+.f64 (.f64 F F) (fma.f64 2 x 2))) (pow.f64 B 3)) (.f64 (sqrt.f64 (+.f64 (.f64 F F) (fma.f64 2 x 2))) B)))
(fma.f64 1/120 (.f64 (sqrt.f64 (fma.f64 F F (fma.f64 2 x 2))) (pow.f64 B 5)) (.f64 (sqrt.f64 (fma.f64 F F (fma.f64 2 x 2))) (+.f64 (*.f64 -1/6 (pow.f64 B 3)) B)))
(.f64 (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2))) (+.f64 (.f64 1/120 (pow.f64 B 5)) (+.f64 B (*.f64 -1/6 (pow.f64 B 3)))))
(+.f64 (.f64 1/120 (.f64 (pow.f64 B 5) (sqrt.f64 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x)))))) (+.f64 (.f64 -1/6 (.f64 (pow.f64 B 3) (sqrt.f64 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x)))))) (+.f64 (.f64 -1/5040 (.f64 (pow.f64 B 7) (sqrt.f64 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x)))))) (.f64 (sqrt.f64 (+.f64 (pow.f64 F 2) (+.f64 2 (*.f64 2 x)))) B))))
(fma.f64 1/120 (.f64 (sqrt.f64 (+.f64 (.f64 F F) (fma.f64 2 x 2))) (pow.f64 B 5)) (fma.f64 -1/6 (.f64 (sqrt.f64 (+.f64 (.f64 F F) (fma.f64 2 x 2))) (pow.f64 B 3)) (fma.f64 -1/5040 (.f64 (sqrt.f64 (+.f64 (.f64 F F) (fma.f64 2 x 2))) (pow.f64 B 7)) (.f64 (sqrt.f64 (+.f64 (.f64 F F) (fma.f64 2 x 2))) B))))
(+.f64 (.f64 (sqrt.f64 (fma.f64 F F (fma.f64 2 x 2))) (+.f64 B (.f64 -1/5040 (pow.f64 B 7)))) (.f64 (sqrt.f64 (fma.f64 F F (fma.f64 2 x 2))) (+.f64 (.f64 1/120 (pow.f64 B 5)) (*.f64 -1/6 (pow.f64 B 3)))))
(.f64 (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2))) (+.f64 (+.f64 B (.f64 -1/5040 (pow.f64 B 7))) (+.f64 (.f64 1/120 (pow.f64 B 5)) (.f64 -1/6 (pow.f64 B 3)))))
(.f64 (sin.f64 B) (sqrt.f64 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x)))))
(.f64 (sqrt.f64 (+.f64 (.f64 F F) (fma.f64 2 x 2))) (sin.f64 B))
(*.f64 (sqrt.f64 (fma.f64 F F (fma.f64 2 x 2))) (sin.f64 B))
(*.f64 (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2))) (sin.f64 B))
(.f64 (sin.f64 B) (sqrt.f64 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x)))))
(.f64 (sqrt.f64 (+.f64 (.f64 F F) (fma.f64 2 x 2))) (sin.f64 B))
(*.f64 (sqrt.f64 (fma.f64 F F (fma.f64 2 x 2))) (sin.f64 B))
(*.f64 (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2))) (sin.f64 B))
(.f64 (sin.f64 B) (sqrt.f64 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x)))))
(.f64 (sqrt.f64 (+.f64 (.f64 F F) (fma.f64 2 x 2))) (sin.f64 B))
(*.f64 (sqrt.f64 (fma.f64 F F (fma.f64 2 x 2))) (sin.f64 B))
(*.f64 (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2))) (sin.f64 B))
(.f64 (sin.f64 B) (sqrt.f64 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x)))))
(.f64 (sqrt.f64 (+.f64 (.f64 F F) (fma.f64 2 x 2))) (sin.f64 B))
(*.f64 (sqrt.f64 (fma.f64 F F (fma.f64 2 x 2))) (sin.f64 B))
(*.f64 (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2))) (sin.f64 B))
(.f64 (sin.f64 B) (sqrt.f64 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x)))))
(.f64 (sqrt.f64 (+.f64 (.f64 F F) (fma.f64 2 x 2))) (sin.f64 B))
(*.f64 (sqrt.f64 (fma.f64 F F (fma.f64 2 x 2))) (sin.f64 B))
(*.f64 (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2))) (sin.f64 B))
(.f64 (sin.f64 B) (sqrt.f64 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x)))))
(.f64 (sqrt.f64 (+.f64 (.f64 F F) (fma.f64 2 x 2))) (sin.f64 B))
(*.f64 (sqrt.f64 (fma.f64 F F (fma.f64 2 x 2))) (sin.f64 B))
(*.f64 (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2))) (sin.f64 B))
(.f64 (sin.f64 B) (sqrt.f64 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x)))))
(.f64 (sqrt.f64 (+.f64 (.f64 F F) (fma.f64 2 x 2))) (sin.f64 B))
(*.f64 (sqrt.f64 (fma.f64 F F (fma.f64 2 x 2))) (sin.f64 B))
(*.f64 (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2))) (sin.f64 B))
(.f64 (sin.f64 B) (sqrt.f64 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x)))))
(.f64 (sqrt.f64 (+.f64 (.f64 F F) (fma.f64 2 x 2))) (sin.f64 B))
(*.f64 (sqrt.f64 (fma.f64 F F (fma.f64 2 x 2))) (sin.f64 B))
(*.f64 (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2))) (sin.f64 B))
(*.f64 (sin.f64 B) (sqrt.f64 (+.f64 (pow.f64 F 2) 2)))
(.f64 (sin.f64 B) (sqrt.f64 (+.f64 2 (.f64 F F))))
(*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 F F 2)))
(+.f64 (.f64 (.f64 (sin.f64 B) x) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) 2)))) (*.f64 (sin.f64 B) (sqrt.f64 (+.f64 (pow.f64 F 2) 2))))
(fma.f64 (.f64 x (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 2 (.f64 F F)))) (.f64 (sin.f64 B) (sqrt.f64 (+.f64 2 (.f64 F F)))))
(.f64 (sin.f64 B) (+.f64 (sqrt.f64 (fma.f64 F F 2)) (.f64 x (sqrt.f64 (/.f64 1 (fma.f64 F F 2))))))
(+.f64 (.f64 -1/2 (.f64 (.f64 (sin.f64 B) (pow.f64 x 2)) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) 2) 3))))) (+.f64 (.f64 (.f64 (sin.f64 B) x) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) 2)))) (.f64 (sin.f64 B) (sqrt.f64 (+.f64 (pow.f64 F 2) 2)))))
(fma.f64 -1/2 (.f64 (sin.f64 B) (.f64 (.f64 x x) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 2 (.f64 F F)) 3))))) (fma.f64 (.f64 x (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 2 (.f64 F F)))) (.f64 (sin.f64 B) (sqrt.f64 (+.f64 2 (.f64 F F))))))
(fma.f64 -1/2 (.f64 (.f64 (sin.f64 B) (.f64 x x)) (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 F F 2) 3)))) (.f64 (sin.f64 B) (+.f64 (sqrt.f64 (fma.f64 F F 2)) (*.f64 x (sqrt.f64 (/.f64 1 (fma.f64 F F 2)))))))
(.f64 (sin.f64 B) (+.f64 (+.f64 (.f64 x (sqrt.f64 (/.f64 1 (fma.f64 F F 2)))) (sqrt.f64 (fma.f64 F F 2))) (.f64 (.f64 x (*.f64 x (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 F F 2) 3))))) -1/2)))
(+.f64 (.f64 1/2 (.f64 (.f64 (sin.f64 B) (pow.f64 x 3)) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) 2) 5))))) (+.f64 (.f64 -1/2 (.f64 (.f64 (sin.f64 B) (pow.f64 x 2)) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) 2) 3))))) (+.f64 (.f64 (.f64 (sin.f64 B) x) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) 2)))) (*.f64 (sin.f64 B) (sqrt.f64 (+.f64 (pow.f64 F 2) 2))))))
(fma.f64 1/2 (.f64 (sin.f64 B) (.f64 (pow.f64 x 3) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 2 (.f64 F F)) 5))))) (fma.f64 -1/2 (.f64 (sin.f64 B) (.f64 (.f64 x x) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 2 (.f64 F F)) 3))))) (fma.f64 (.f64 x (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 2 (.f64 F F)))) (.f64 (sin.f64 B) (sqrt.f64 (+.f64 2 (*.f64 F F)))))))
(fma.f64 1/2 (.f64 (.f64 (sin.f64 B) (pow.f64 x 3)) (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 F F 2) 5)))) (fma.f64 -1/2 (.f64 (.f64 (sin.f64 B) (.f64 x x)) (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 F F 2) 3)))) (.f64 (sin.f64 B) (+.f64 (sqrt.f64 (fma.f64 F F 2)) (*.f64 x (sqrt.f64 (/.f64 1 (fma.f64 F F 2))))))))
(fma.f64 1/2 (.f64 (.f64 (sin.f64 B) (pow.f64 x 3)) (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 F F 2) 5)))) (.f64 (sin.f64 B) (+.f64 (+.f64 (.f64 x (sqrt.f64 (/.f64 1 (fma.f64 F F 2)))) (sqrt.f64 (fma.f64 F F 2))) (.f64 (.f64 x (*.f64 x (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 F F 2) 3))))) -1/2))))
(.f64 (sqrt.f64 (+.f64 2 (.f64 2 x))) (sin.f64 B))
(*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 2 x 2)))
(+.f64 (.f64 1/2 (.f64 (.f64 (sin.f64 B) (pow.f64 F 2)) (sqrt.f64 (/.f64 1 (+.f64 (.f64 2 x) 2))))) (.f64 (sqrt.f64 (+.f64 2 (.f64 2 x))) (sin.f64 B)))
(fma.f64 1/2 (.f64 (sin.f64 B) (.f64 (.f64 F F) (sqrt.f64 (/.f64 1 (fma.f64 2 x 2))))) (.f64 (sin.f64 B) (sqrt.f64 (fma.f64 2 x 2))))
(fma.f64 (.f64 1/2 (.f64 (.f64 F F) (sin.f64 B))) (sqrt.f64 (/.f64 1 (fma.f64 2 x 2))) (.f64 (sin.f64 B) (sqrt.f64 (fma.f64 2 x 2))))
(.f64 (sin.f64 B) (+.f64 (sqrt.f64 (fma.f64 2 x 2)) (.f64 (.f64 F (.f64 F (sqrt.f64 (/.f64 1 (fma.f64 2 x 2))))) 1/2)))
(+.f64 (.f64 1/2 (.f64 (.f64 (sin.f64 B) (pow.f64 F 2)) (sqrt.f64 (/.f64 1 (+.f64 (.f64 2 x) 2))))) (+.f64 (.f64 (sqrt.f64 (+.f64 2 (.f64 2 x))) (sin.f64 B)) (.f64 -1/8 (.f64 (/.f64 (.f64 (sin.f64 B) (pow.f64 F 4)) (+.f64 2 (.f64 2 x))) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 2 x) 2)))))))
(fma.f64 1/2 (.f64 (sin.f64 B) (.f64 (.f64 F F) (sqrt.f64 (/.f64 1 (fma.f64 2 x 2))))) (fma.f64 (sqrt.f64 (fma.f64 2 x 2)) (sin.f64 B) (.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 x 2))) (/.f64 (sin.f64 B) (/.f64 (fma.f64 2 x 2) (pow.f64 F 4)))))))
(fma.f64 1/2 (.f64 (sin.f64 B) (.f64 (.f64 F F) (sqrt.f64 (/.f64 1 (fma.f64 2 x 2))))) (fma.f64 (.f64 -1/8 (.f64 (/.f64 (sin.f64 B) (fma.f64 2 x 2)) (pow.f64 F 4))) (sqrt.f64 (/.f64 1 (fma.f64 2 x 2))) (.f64 (sin.f64 B) (sqrt.f64 (fma.f64 2 x 2)))))
(+.f64 (.f64 (sin.f64 B) (sqrt.f64 (fma.f64 2 x 2))) (.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 x 2))) (+.f64 (.f64 1/2 (.f64 F (.f64 F (sin.f64 B)))) (/.f64 (.f64 -1/8 (sin.f64 B)) (/.f64 (fma.f64 2 x 2) (pow.f64 F 4))))))
(+.f64 (.f64 1/2 (.f64 (.f64 (sin.f64 B) (pow.f64 F 2)) (sqrt.f64 (/.f64 1 (+.f64 (.f64 2 x) 2))))) (+.f64 (.f64 1/16 (.f64 (/.f64 (.f64 (sin.f64 B) (pow.f64 F 6)) (+.f64 2 (.f64 2 x))) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 2 x) 2) 3))))) (+.f64 (.f64 (sqrt.f64 (+.f64 2 (.f64 2 x))) (sin.f64 B)) (.f64 -1/8 (.f64 (/.f64 (.f64 (sin.f64 B) (pow.f64 F 4)) (+.f64 2 (.f64 2 x))) (sqrt.f64 (/.f64 1 (+.f64 (.f64 2 x) 2))))))))
(fma.f64 1/2 (.f64 (sin.f64 B) (.f64 (.f64 F F) (sqrt.f64 (/.f64 1 (fma.f64 2 x 2))))) (fma.f64 1/16 (.f64 (/.f64 (sin.f64 B) (/.f64 (fma.f64 2 x 2) (pow.f64 F 6))) (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 2 x 2) 3)))) (fma.f64 (sqrt.f64 (fma.f64 2 x 2)) (sin.f64 B) (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 x 2))) (/.f64 (sin.f64 B) (/.f64 (fma.f64 2 x 2) (pow.f64 F 4))))))))
(fma.f64 1/2 (.f64 (sin.f64 B) (.f64 (.f64 F F) (sqrt.f64 (/.f64 1 (fma.f64 2 x 2))))) (fma.f64 1/16 (.f64 (.f64 (/.f64 (sin.f64 B) (fma.f64 2 x 2)) (pow.f64 F 6)) (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 2 x 2) 3)))) (fma.f64 (.f64 -1/8 (.f64 (/.f64 (sin.f64 B) (fma.f64 2 x 2)) (pow.f64 F 4))) (sqrt.f64 (/.f64 1 (fma.f64 2 x 2))) (.f64 (sin.f64 B) (sqrt.f64 (fma.f64 2 x 2))))))
(+.f64 (fma.f64 1/16 (.f64 (.f64 (/.f64 (sin.f64 B) (fma.f64 2 x 2)) (pow.f64 F 6)) (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 2 x 2) 3)))) (.f64 (sin.f64 B) (sqrt.f64 (fma.f64 2 x 2)))) (.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 x 2))) (+.f64 (/.f64 (.f64 -1/8 (sin.f64 B)) (/.f64 (fma.f64 2 x 2) (pow.f64 F 4))) (.f64 1/2 (.f64 F (.f64 F (sin.f64 B)))))))
(*.f64 (sin.f64 B) F)
(*.f64 F (sin.f64 B))
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(+.f64 (.f64 (/.f64 1/2 (sin.f64 B)) (+.f64 (/.f64 (.f64 (pow.f64 (fma.f64 2 x 2) 2) -3/4) (pow.f64 F 4)) (/.f64 (fma.f64 2 x 2) (*.f64 F F)))) (/.f64 -1 (sin.f64 B)))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 2 x) 2) (.f64 (sin.f64 B) (pow.f64 F 2)))) (+.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 1/2 (.f64 (+.f64 2 (.f64 2 x)) (+.f64 (.f64 -1 (pow.f64 (+.f64 2 (.f64 2 x)) 2)) (pow.f64 (.f64 -1/2 (+.f64 (.f64 2 x) 2)) 2)))) (.f64 (pow.f64 (+.f64 2 (.f64 2 x)) 2) (+.f64 (.f64 2 x) 2))) (.f64 (sin.f64 B) (pow.f64 F 6)))) (.f64 1/2 (/.f64 (+.f64 (.f64 -1 (pow.f64 (+.f64 (.f64 2 x) 2) 2)) (pow.f64 (.f64 -1/2 (+.f64 2 (.f64 2 x))) 2)) (*.f64 (sin.f64 B) (pow.f64 F 4)))))) (/.f64 1 (sin.f64 B)))
(-.f64 (fma.f64 1/2 (/.f64 (fma.f64 2 x 2) (.f64 (.f64 F F) (sin.f64 B))) (.f64 1/2 (+.f64 (/.f64 (fma.f64 1/2 (.f64 (fma.f64 2 x 2) (fma.f64 -1 (pow.f64 (fma.f64 2 x 2) 2) (pow.f64 (.f64 (fma.f64 2 x 2) -1/2) 2))) (pow.f64 (fma.f64 2 x 2) 3)) (.f64 (sin.f64 B) (pow.f64 F 6))) (/.f64 (fma.f64 -1 (pow.f64 (fma.f64 2 x 2) 2) (pow.f64 (.f64 (fma.f64 2 x 2) -1/2) 2)) (.f64 (sin.f64 B) (pow.f64 F 4)))))) (/.f64 1 (sin.f64 B)))
(fma.f64 1/2 (/.f64 (fma.f64 2 x 2) (.f64 (.f64 F F) (sin.f64 B))) (fma.f64 1/2 (+.f64 (/.f64 (-.f64 (pow.f64 (+.f64 -1 (.f64 x -1)) 2) (pow.f64 (fma.f64 2 x 2) 2)) (.f64 (sin.f64 B) (pow.f64 F 4))) (/.f64 (fma.f64 (.f64 (fma.f64 2 x 2) 1/2) (-.f64 (pow.f64 (+.f64 -1 (.f64 x -1)) 2) (pow.f64 (fma.f64 2 x 2) 2)) (pow.f64 (fma.f64 2 x 2) 3)) (*.f64 (sin.f64 B) (pow.f64 F 6)))) (/.f64 -1 (sin.f64 B))))
(+.f64 (.f64 (/.f64 1/2 (sin.f64 B)) (+.f64 (/.f64 (.f64 (pow.f64 (fma.f64 2 x 2) 2) -3/4) (pow.f64 F 4)) (/.f64 (fma.f64 1/2 (.f64 (fma.f64 2 x 2) (.f64 (pow.f64 (fma.f64 2 x 2) 2) -3/4)) (pow.f64 (fma.f64 2 x 2) 3)) (pow.f64 F 6)))) (fma.f64 1/2 (/.f64 (fma.f64 2 x 2) (.f64 F (.f64 F (sin.f64 B)))) (/.f64 -1 (sin.f64 B))))
(.f64 (/.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x))))))
(.f64 (/.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 (.f64 F F) (fma.f64 2 x 2)))))
(*.f64 (/.f64 F B) (sqrt.f64 (/.f64 1 (fma.f64 F F (fma.f64 2 x 2)))))
(+.f64 (.f64 (/.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x)))))) (.f64 1/6 (.f64 (.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x))))))))
(fma.f64 (/.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 (.f64 F F) (fma.f64 2 x 2)))) (.f64 (.f64 1/6 (.f64 F B)) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 F F) (fma.f64 2 x 2))))))
(.f64 (sqrt.f64 (/.f64 1 (fma.f64 F F (fma.f64 2 x 2)))) (+.f64 (/.f64 F B) (.f64 (*.f64 1/6 F) B)))
(+.f64 (.f64 (/.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x)))))) (+.f64 (.f64 1/6 (.f64 (.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x))))))) (.f64 -1 (.f64 (.f64 (+.f64 (.f64 1/120 F) (.f64 -1/36 F)) (pow.f64 B 3)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x)))))))))
(fma.f64 (/.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 (.f64 F F) (fma.f64 2 x 2)))) (fma.f64 1/6 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 F F) (fma.f64 2 x 2)))) (.f64 F B)) (neg.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 F F) (fma.f64 2 x 2)))) (.f64 (pow.f64 B 3) (.f64 F -7/360))))))
(-.f64 (.f64 (sqrt.f64 (/.f64 1 (fma.f64 F F (fma.f64 2 x 2)))) (+.f64 (/.f64 F B) (.f64 (.f64 1/6 F) B))) (.f64 (sqrt.f64 (/.f64 1 (fma.f64 F F (fma.f64 2 x 2)))) (.f64 F (.f64 -7/360 (pow.f64 B 3)))))
(.f64 (sqrt.f64 (/.f64 1 (fma.f64 F F (fma.f64 2 x 2)))) (-.f64 (+.f64 (/.f64 F B) (.f64 (.f64 1/6 F) B)) (.f64 F (*.f64 -7/360 (pow.f64 B 3)))))
(+.f64 (.f64 (/.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x)))))) (+.f64 (.f64 1/6 (.f64 (.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x))))))) (+.f64 (.f64 -1 (.f64 (.f64 (+.f64 (.f64 1/6 (+.f64 (.f64 1/120 F) (.f64 -1/36 F))) (+.f64 (.f64 1/720 F) (.f64 -1/5040 F))) (pow.f64 B 5)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x))))))) (.f64 -1 (.f64 (.f64 (+.f64 (.f64 1/120 F) (.f64 -1/36 F)) (pow.f64 B 3)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (*.f64 2 x))))))))))
(fma.f64 (/.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 (.f64 F F) (fma.f64 2 x 2)))) (fma.f64 1/6 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 F F) (fma.f64 2 x 2)))) (.f64 F B)) (.f64 -1 (+.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 F F) (fma.f64 2 x 2)))) (.f64 (pow.f64 B 5) (fma.f64 1/6 (.f64 F -7/360) (.f64 F 1/840)))) (.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 F F) (fma.f64 2 x 2)))) (.f64 (pow.f64 B 3) (.f64 F -7/360)))))))
(+.f64 (neg.f64 (.f64 (sqrt.f64 (/.f64 1 (fma.f64 F F (fma.f64 2 x 2)))) (+.f64 (.f64 (pow.f64 B 5) (fma.f64 F 1/840 (.f64 F -7/2160))) (.f64 F (.f64 -7/360 (pow.f64 B 3)))))) (.f64 (sqrt.f64 (/.f64 1 (fma.f64 F F (fma.f64 2 x 2)))) (+.f64 (/.f64 F B) (.f64 (.f64 1/6 F) B))))
(.f64 (sqrt.f64 (/.f64 1 (fma.f64 F F (fma.f64 2 x 2)))) (+.f64 (-.f64 (.f64 (pow.f64 B 3) (.f64 F 7/360)) (.f64 (pow.f64 B 5) (.f64 F -31/15120))) (+.f64 (/.f64 F B) (.f64 (*.f64 1/6 F) B))))
(.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x))))))
(.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (.f64 F F) (fma.f64 2 x 2)))))
(*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (fma.f64 F F (fma.f64 2 x 2)))))
(.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x))))))
(.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (.f64 F F) (fma.f64 2 x 2)))))
(*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (fma.f64 F F (fma.f64 2 x 2)))))
(.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x))))))
(.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (.f64 F F) (fma.f64 2 x 2)))))
(*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (fma.f64 F F (fma.f64 2 x 2)))))
(.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x))))))
(.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (.f64 F F) (fma.f64 2 x 2)))))
(*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (fma.f64 F F (fma.f64 2 x 2)))))
(.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x))))))
(.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (.f64 F F) (fma.f64 2 x 2)))))
(*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (fma.f64 F F (fma.f64 2 x 2)))))
(.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x))))))
(.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (.f64 F F) (fma.f64 2 x 2)))))
(*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (fma.f64 F F (fma.f64 2 x 2)))))
(.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x))))))
(.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (.f64 F F) (fma.f64 2 x 2)))))
(*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (fma.f64 F F (fma.f64 2 x 2)))))
(.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x))))))
(.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (.f64 F F) (fma.f64 2 x 2)))))
(*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (fma.f64 F F (fma.f64 2 x 2)))))
(*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) 2))))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 2 (.f64 F F)))) (/.f64 F (sin.f64 B)))
(/.f64 F (/.f64 (sin.f64 B) (sqrt.f64 (/.f64 1 (fma.f64 F F 2)))))
(*.f64 (sqrt.f64 (/.f64 1 (fma.f64 F F 2))) (/.f64 F (sin.f64 B)))
(+.f64 (.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) 2)))) (.f64 -1 (.f64 (/.f64 (.f64 F x) (sin.f64 B)) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) 2) 3))))))
(fma.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 2 (.f64 F F)))) (neg.f64 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 2 (*.f64 F F)) 3))) (/.f64 F (/.f64 (sin.f64 B) x)))))
(-.f64 (/.f64 F (/.f64 (sin.f64 B) (sqrt.f64 (/.f64 1 (fma.f64 F F 2))))) (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 F F 2) 3))) (/.f64 F (/.f64 (sin.f64 B) x))))
(-.f64 (.f64 (sqrt.f64 (/.f64 1 (fma.f64 F F 2))) (/.f64 F (sin.f64 B))) (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 F F 2) 3))) (/.f64 F (/.f64 (sin.f64 B) x))))
(+.f64 (.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) 2)))) (+.f64 (.f64 1/2 (.f64 (/.f64 (.f64 F (.f64 (-.f64 (.f64 4 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) 2) 3))) (pow.f64 (.f64 -1 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) 2) 3)))) 2)) (pow.f64 x 2))) (sin.f64 B)) (sqrt.f64 (+.f64 (pow.f64 F 2) 2)))) (.f64 -1 (.f64 (/.f64 (.f64 F x) (sin.f64 B)) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) 2) 3)))))))
(fma.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 2 (.f64 F F)))) (fma.f64 1/2 (.f64 (sqrt.f64 (+.f64 2 (.f64 F F))) (/.f64 (.f64 (.f64 F (-.f64 (/.f64 4 (pow.f64 (+.f64 2 (.f64 F F)) 3)) (pow.f64 (neg.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 2 (.f64 F F)) 3)))) 2))) (.f64 x x)) (sin.f64 B))) (neg.f64 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 2 (.f64 F F)) 3))) (/.f64 F (/.f64 (sin.f64 B) x))))))
(-.f64 (fma.f64 (sqrt.f64 (/.f64 1 (fma.f64 F F 2))) (/.f64 F (sin.f64 B)) (.f64 1/2 (/.f64 (.f64 F (sqrt.f64 (fma.f64 F F 2))) (/.f64 (/.f64 (sin.f64 B) (.f64 x x)) (-.f64 (/.f64 4 (pow.f64 (fma.f64 F F 2) 3)) (pow.f64 (neg.f64 (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 F F 2) 3)))) 2)))))) (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 F F 2) 3))) (/.f64 F (/.f64 (sin.f64 B) x))))
(fma.f64 (sqrt.f64 (/.f64 1 (fma.f64 F F 2))) (/.f64 F (sin.f64 B)) (fma.f64 (sqrt.f64 (fma.f64 F F 2)) (/.f64 (.f64 1/2 F) (/.f64 (/.f64 (sin.f64 B) (.f64 x x)) (-.f64 (/.f64 4 (pow.f64 (fma.f64 F F 2) 3)) (/.f64 1 (pow.f64 (fma.f64 F F 2) 3))))) (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 F F 2) 3))) (.f64 (/.f64 F (sin.f64 B)) (neg.f64 x)))))
(+.f64 (.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) 2)))) (+.f64 (.f64 1/2 (.f64 (/.f64 (.f64 F (.f64 (-.f64 (.f64 4 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) 2) 3))) (pow.f64 (.f64 -1 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) 2) 3)))) 2)) (pow.f64 x 2))) (sin.f64 B)) (sqrt.f64 (+.f64 (pow.f64 F 2) 2)))) (+.f64 (.f64 -1 (.f64 (/.f64 (.f64 F x) (sin.f64 B)) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) 2) 3))))) (.f64 -1/2 (.f64 (/.f64 (.f64 F (.f64 (+.f64 (.f64 8 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) 2) 4))) (.f64 -1 (/.f64 (-.f64 (.f64 4 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) 2) 3))) (pow.f64 (.f64 -1 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) 2) 3)))) 2)) (+.f64 (pow.f64 F 2) 2)))) (pow.f64 x 3))) (sin.f64 B)) (sqrt.f64 (+.f64 (pow.f64 F 2) 2)))))))
(fma.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 2 (.f64 F F)))) (fma.f64 1/2 (.f64 (sqrt.f64 (+.f64 2 (.f64 F F))) (/.f64 (.f64 (.f64 F (-.f64 (/.f64 4 (pow.f64 (+.f64 2 (.f64 F F)) 3)) (pow.f64 (neg.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 2 (.f64 F F)) 3)))) 2))) (.f64 x x)) (sin.f64 B))) (fma.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 2 (.f64 F F)) 3))) (/.f64 F (/.f64 (sin.f64 B) x))) (.f64 -1/2 (.f64 (sqrt.f64 (+.f64 2 (.f64 F F))) (/.f64 F (/.f64 (sin.f64 B) (.f64 (pow.f64 x 3) (+.f64 (/.f64 8 (pow.f64 (+.f64 2 (.f64 F F)) 4)) (neg.f64 (/.f64 (-.f64 (/.f64 4 (pow.f64 (+.f64 2 (.f64 F F)) 3)) (pow.f64 (neg.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 2 (.f64 F F)) 3)))) 2)) (+.f64 2 (.f64 F F)))))))))))))
(fma.f64 (sqrt.f64 (/.f64 1 (fma.f64 F F 2))) (/.f64 F (sin.f64 B)) (fma.f64 1/2 (/.f64 (.f64 F (sqrt.f64 (fma.f64 F F 2))) (/.f64 (/.f64 (sin.f64 B) (.f64 x x)) (-.f64 (/.f64 4 (pow.f64 (fma.f64 F F 2) 3)) (pow.f64 (neg.f64 (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 F F 2) 3)))) 2)))) (-.f64 (.f64 -1/2 (.f64 (sqrt.f64 (fma.f64 F F 2)) (.f64 (/.f64 F (sin.f64 B)) (.f64 (pow.f64 x 3) (-.f64 (/.f64 8 (pow.f64 (fma.f64 F F 2) 4)) (/.f64 (-.f64 (/.f64 4 (pow.f64 (fma.f64 F F 2) 3)) (pow.f64 (neg.f64 (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 F F 2) 3)))) 2)) (fma.f64 F F 2))))))) (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 F F 2) 3))) (/.f64 F (/.f64 (sin.f64 B) x))))))
(fma.f64 (sqrt.f64 (/.f64 1 (fma.f64 F F 2))) (/.f64 F (sin.f64 B)) (-.f64 (.f64 (sqrt.f64 (fma.f64 F F 2)) (+.f64 (/.f64 (.f64 1/2 F) (/.f64 (/.f64 (sin.f64 B) (.f64 x x)) (-.f64 (/.f64 4 (pow.f64 (fma.f64 F F 2) 3)) (/.f64 1 (pow.f64 (fma.f64 F F 2) 3))))) (.f64 -1/2 (.f64 (/.f64 F (sin.f64 B)) (.f64 (pow.f64 x 3) (-.f64 (/.f64 8 (pow.f64 (fma.f64 F F 2) 4)) (/.f64 (-.f64 (/.f64 4 (pow.f64 (fma.f64 F F 2) 3)) (/.f64 1 (pow.f64 (fma.f64 F F 2) 3))) (fma.f64 F F 2)))))))) (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 F F 2) 3))) (/.f64 F (/.f64 (sin.f64 B) x)))))

eval183.0ms (2%)

Compiler: Compiled 9373 to 5837 computations (37.7% saved)

prune145.0ms (1.5%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	262	8	270
Fresh	9	4	13
Picked	1	0	1
Done	0	0	0
Total	272	12	284

Error

0.0b

Counts

284 → 12

Alt Table

Click to see full alt table

Status	Error	Program
▶	6.0b	(-.f64 (/.f64 F (*.f64 (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2))) (sin.f64 B))) (/.f64 x (tan.f64 B)))
	31.1b	(-.f64 (/.f64 -1 (sin.f64 B)) (/.f64 x (tan.f64 B)))
	11.6b	(-.f64 (/.f64 F (/.f64 (sin.f64 B) (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2))) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
	11.6b	(-.f64 (/.f64 F (/.f64 (sin.f64 B) (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2))) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
	13.6b	(-.f64 (*.f64 (sqrt.f64 (/.f64 1 (fma.f64 F F 2))) (/.f64 F (sin.f64 B))) (/.f64 x (tan.f64 B)))
	11.6b	(-.f64 (/.f64 F (/.f64 (sin.f64 B) (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2))) (*.f64 (/.f64 1 (tan.f64 B)) x))
	34.0b	(-.f64 (*.f64 F (/.f64 (/.f64 1 F) (sin.f64 B))) (/.f64 x (tan.f64 B)))
	31.2b	(-.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))))
	11.6b	(-.f64 (.f64 F (.f64 (/.f64 1 (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) 2))))) (/.f64 x (tan.f64 B)))
	41.2b	(-.f64 (/.f64 F (+.f64 (.f64 1/120 (.f64 (pow.f64 B 5) (sqrt.f64 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x)))))) (+.f64 (.f64 -1/6 (.f64 (pow.f64 B 3) (sqrt.f64 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x)))))) (.f64 (sqrt.f64 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x)))) B)))) (/.f64 x (tan.f64 B)))
	32.8b	(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))
	11.6b	(-.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))

Compiler

Compiled 570 to 408 computations (28.4% saved)

localize14.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (/.f64 F (*.f64 (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2))) (sin.f64 B))) (/.f64 x (tan.f64 B)))
	0.1b	(/.f64 x (tan.f64 B))
✓	0.2b	(/.f64 F (*.f64 (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2))) (sin.f64 B)))
✓	0.2b	(*.f64 (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2))) (sin.f64 B))

series43.0ms (0.5%)

Counts

3 → 86

Calls

27 calls:

Time	Variable		Point	Expression
7.0ms	B	@	inf	(*.f64 (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2))) (sin.f64 B))
4.0ms	x	@	-inf	(/.f64 F (*.f64 (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2))) (sin.f64 B)))
3.0ms	x	@	inf	(/.f64 F (*.f64 (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2))) (sin.f64 B)))
3.0ms	x	@	-inf	(*.f64 (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2))) (sin.f64 B))
3.0ms	x	@	inf	(*.f64 (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2))) (sin.f64 B))

rewrite74.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

290×	`log1p-udef_binary64`
164×	`add-sqr-sqrt_binary64`
160×	`pow1_binary64`
159×	`*-un-lft-identity_binary64`
152×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	59
1	311	59
2	4548	59

Stop Event

1×	node limit

Counts

3 → 109

Calls

Call 1

Inputs

(*.f64 (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2))) (sin.f64 B))

(/.f64 F (*.f64 (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2))) (sin.f64 B)))

(-.f64 (/.f64 F (*.f64 (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2))) (sin.f64 B))) (/.f64 x (tan.f64 B)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2))) (sin.f64 B)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2))) (sin.f64 B)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2))) (sin.f64 B)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2))) (sin.f64 B))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2))) (sin.f64 B))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (sin.f64 B) 2) (fma.f64 F F (fma.f64 2 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (sin.f64 B)) (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2))) (sin.f64 B)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2))) (sin.f64 B)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2))) 3) (pow.f64 (sin.f64 B) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (sin.f64 B) 3) (pow.f64 (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2))) (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2))) (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2))) (sin.f64 B))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2))) (sin.f64 B))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 F (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2)))) (sin.f64 B)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 F (/.f64 (/.f64 1 (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2)))) (sin.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 F (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2)))) (sin.f64 B)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (/.f64 F (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2)))) (sin.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (/.f64 F (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2)))) (sin.f64 B))) (pow.f64 (cbrt.f64 (/.f64 (/.f64 F (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2)))) (sin.f64 B))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 F (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2)))) (sin.f64 B))) 2) (cbrt.f64 (/.f64 (/.f64 F (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2)))) (sin.f64 B))))))) (#(struct:change #<rule egg-rr> 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(sin.f64 B)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (/.f64 F (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2)))) (sin.f64 B)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (/.f64 F (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2)))) (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 F (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2)))) (sin.f64 B)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (/.f64 F (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2)))) (sin.f64 B)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (/.f64 F (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2)))) (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (/.f64 F (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2)))) (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 F (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2)))) (sin.f64 B))) 1))))) (#(struct:change 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (/.f64 F (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2)))) (sin.f64 B)) (/.f64 (neg.f64 x) (tan.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (/.f64 F (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2)))) (sin.f64 B)) (*.f64 (/.f64 (neg.f64 x) (tan.f64 B)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 (/.f64 F (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2)))) (sin.f64 B)) (/.f64 x (tan.f64 B))) (fma.f64 (neg.f64 (/.f64 1 (tan.f64 B))) x (/.f64 x (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 (/.f64 F (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2)))) (sin.f64 B)) (/.f64 x (tan.f64 B))) (fma.f64 (/.f64 (neg.f64 x) (tan.f64 B)) 1 (/.f64 x (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 (/.f64 F (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2)))) (sin.f64 B)) (/.f64 x (tan.f64 B))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 x (tan.f64 B)))) (pow.f64 (cbrt.f64 (/.f64 x (tan.f64 B))) 2) 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fma.f64 (sqrt.f64 (/.f64 (/.f64 F (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2)))) (sin.f64 B))) (sqrt.f64 (/.f64 (/.f64 F (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2)))) (sin.f64 B))) (/.f64 (neg.f64 x) (tan.f64 B)))))))

simplify91.0ms (1%)

Algorithm

1×	egg-herbie

Rules

935×	`times-frac_binary64`
464×	`fma-def_binary64`
271×	`*-commutative_binary64`
234×	`associate-r_binary64`
198×	`+-commutative_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	384	4730
1	1389	3953
2	4627	3937

Stop Event

1×	node limit

Counts

195 → 230

Calls

Call 1

Inputs
(.f64 (sqrt.f64 (+.f64 2 (.f64 2 x))) (sin.f64 B))
(+.f64 (.f64 1/2 (.f64 (.f64 (sin.f64 B) (pow.f64 F 2)) (sqrt.f64 (/.f64 1 (+.f64 (.f64 2 x) 2))))) (.f64 (sqrt.f64 (+.f64 2 (.f64 2 x))) (sin.f64 B)))
(+.f64 (.f64 1/2 (.f64 (.f64 (sin.f64 B) (pow.f64 F 2)) (sqrt.f64 (/.f64 1 (+.f64 (.f64 2 x) 2))))) (+.f64 (.f64 (sqrt.f64 (+.f64 2 (.f64 2 x))) (sin.f64 B)) (.f64 -1/8 (.f64 (/.f64 (.f64 (sin.f64 B) (pow.f64 F 4)) (+.f64 2 (.f64 2 x))) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 2 x) 2)))))))
(+.f64 (.f64 1/2 (.f64 (.f64 (sin.f64 B) (pow.f64 F 2)) (sqrt.f64 (/.f64 1 (+.f64 (.f64 2 x) 2))))) (+.f64 (.f64 1/16 (.f64 (/.f64 (.f64 (sin.f64 B) (pow.f64 F 6)) (+.f64 2 (.f64 2 x))) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 2 x) 2) 3))))) (+.f64 (.f64 (sqrt.f64 (+.f64 2 (.f64 2 x))) (sin.f64 B)) (.f64 -1/8 (.f64 (/.f64 (.f64 (sin.f64 B) (pow.f64 F 4)) (+.f64 2 (.f64 2 x))) (sqrt.f64 (/.f64 1 (+.f64 (.f64 2 x) 2))))))))
(*.f64 (sin.f64 B) F)
(+.f64 (.f64 1/2 (/.f64 (.f64 (sin.f64 B) (+.f64 (.f64 2 x) 2)) F)) (.f64 (sin.f64 B) F))
(+.f64 (.f64 1/2 (/.f64 (.f64 (sin.f64 B) (+.f64 (.f64 2 x) 2)) F)) (+.f64 (.f64 (sin.f64 B) F) (.f64 -1/8 (/.f64 (.f64 (pow.f64 (+.f64 2 (*.f64 2 x)) 2) (sin.f64 B)) (pow.f64 F 3)))))
(+.f64 (.f64 1/2 (/.f64 (.f64 (sin.f64 B) (+.f64 (.f64 2 x) 2)) F)) (+.f64 (.f64 (sin.f64 B) F) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 (+.f64 2 (.f64 2 x)) 2) (sin.f64 B)) (pow.f64 F 3))) (.f64 1/16 (/.f64 (.f64 (+.f64 2 (.f64 2 x)) (.f64 (sin.f64 B) (pow.f64 (+.f64 (.f64 2 x) 2) 2))) (pow.f64 F 5))))))
(.f64 -1 (.f64 (sin.f64 B) F))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (sin.f64 B) (+.f64 (.f64 2 x) 2)) F)) (.f64 -1 (*.f64 (sin.f64 B) F)))
(+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 (+.f64 2 (.f64 2 x)) 2) (sin.f64 B)) (pow.f64 F 3))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (sin.f64 B) (+.f64 (.f64 2 x) 2)) F)) (.f64 -1 (.f64 (sin.f64 B) F))))
(+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 (+.f64 2 (.f64 2 x)) 2) (sin.f64 B)) (pow.f64 F 3))) (+.f64 (.f64 -1/16 (/.f64 (.f64 (+.f64 2 (.f64 2 x)) (.f64 (sin.f64 B) (pow.f64 (+.f64 (.f64 2 x) 2) 2))) (pow.f64 F 5))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (sin.f64 B) (+.f64 (.f64 2 x) 2)) F)) (.f64 -1 (*.f64 (sin.f64 B) F)))))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2))) (sin.f64 B))
(+.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)))) (.f64 (sin.f64 B) x)) (*.f64 (sqrt.f64 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2))) (sin.f64 B)))
(+.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)))) (.f64 (sin.f64 B) x)) (+.f64 (.f64 (sqrt.f64 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2))) (sin.f64 B)) (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)) 3))) (.f64 (sin.f64 B) (pow.f64 x 2))))))
(+.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)))) (.f64 (sin.f64 B) x)) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)) 5))) (.f64 (sin.f64 B) (pow.f64 x 3)))) (+.f64 (.f64 (sqrt.f64 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2))) (sin.f64 B)) (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)) 3))) (*.f64 (sin.f64 B) (pow.f64 x 2)))))))
(.f64 (sqrt.f64 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x)))) B)
(+.f64 (.f64 -1/6 (.f64 (pow.f64 B 3) (sqrt.f64 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x)))))) (.f64 (sqrt.f64 (+.f64 (pow.f64 F 2) (+.f64 2 (*.f64 2 x)))) B))
(+.f64 (.f64 1/120 (.f64 (pow.f64 B 5) (sqrt.f64 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x)))))) (+.f64 (.f64 -1/6 (.f64 (pow.f64 B 3) (sqrt.f64 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x)))))) (.f64 (sqrt.f64 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x)))) B)))
(+.f64 (.f64 1/120 (.f64 (pow.f64 B 5) (sqrt.f64 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x)))))) (+.f64 (.f64 -1/6 (.f64 (pow.f64 B 3) (sqrt.f64 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x)))))) (+.f64 (.f64 -1/5040 (.f64 (pow.f64 B 7) (sqrt.f64 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x)))))) (.f64 (sqrt.f64 (+.f64 (pow.f64 F 2) (+.f64 2 (*.f64 2 x)))) B))))
(.f64 (sin.f64 B) (sqrt.f64 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x)))))
(.f64 (sin.f64 B) (sqrt.f64 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x)))))
(.f64 (sin.f64 B) (sqrt.f64 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x)))))
(.f64 (sin.f64 B) (sqrt.f64 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x)))))
(.f64 (sin.f64 B) (sqrt.f64 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x)))))
(.f64 (sin.f64 B) (sqrt.f64 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x)))))
(.f64 (sin.f64 B) (sqrt.f64 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x)))))
(.f64 (sin.f64 B) (sqrt.f64 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x)))))
(.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (.f64 2 x) 2))))
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(-.f64 (+.f64 (.f64 (/.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x)))))) (.f64 (-.f64 (.f64 1/3 x) (.f64 -1/6 (.f64 F (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (*.f64 2 x)))))))) B)) (/.f64 x B))
(-.f64 (+.f64 (.f64 (/.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x)))))) (+.f64 (.f64 (-.f64 (.f64 1/3 x) (.f64 -1/6 (.f64 F (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x)))))))) B) (.f64 (-.f64 (+.f64 (.f64 -1/9 x) (.f64 2/15 x)) (+.f64 (.f64 1/120 (.f64 F (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x))))))) (.f64 -1/36 (.f64 F (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x))))))))) (pow.f64 B 3)))) (/.f64 x B))
(-.f64 (+.f64 (.f64 (-.f64 (+.f64 (.f64 17/315 x) (+.f64 (.f64 -2/45 x) (.f64 -1/3 (+.f64 (.f64 -1/9 x) (.f64 2/15 x))))) (+.f64 (.f64 1/720 (.f64 F (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x))))))) (+.f64 (.f64 -1/5040 (.f64 F (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x))))))) (.f64 1/6 (+.f64 (.f64 1/120 (.f64 F (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x))))))) (.f64 -1/36 (.f64 F (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x)))))))))))) (pow.f64 B 5)) (+.f64 (.f64 (/.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x)))))) (+.f64 (.f64 (-.f64 (.f64 1/3 x) (.f64 -1/6 (.f64 F (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x)))))))) B) (.f64 (-.f64 (+.f64 (.f64 -1/9 x) (.f64 2/15 x)) (+.f64 (.f64 1/120 (.f64 F (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x))))))) (.f64 -1/36 (.f64 F (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (*.f64 2 x))))))))) (pow.f64 B 3))))) (/.f64 x B))
(-.f64 (.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x)))))) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x)))))) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x)))))) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x)))))) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x)))))) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x)))))) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x)))))) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x)))))) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))

Outputs
(.f64 (sqrt.f64 (+.f64 2 (.f64 2 x))) (sin.f64 B))
(*.f64 (sqrt.f64 (fma.f64 2 x 2)) (sin.f64 B))
(+.f64 (.f64 1/2 (.f64 (.f64 (sin.f64 B) (pow.f64 F 2)) (sqrt.f64 (/.f64 1 (+.f64 (.f64 2 x) 2))))) (.f64 (sqrt.f64 (+.f64 2 (.f64 2 x))) (sin.f64 B)))
(fma.f64 1/2 (.f64 (.f64 (sin.f64 B) (.f64 F F)) (sqrt.f64 (/.f64 1 (fma.f64 2 x 2)))) (.f64 (sqrt.f64 (fma.f64 2 x 2)) (sin.f64 B)))
(fma.f64 (sqrt.f64 (fma.f64 2 x 2)) (sin.f64 B) (.f64 (sin.f64 B) (.f64 (.f64 F (.f64 F (sqrt.f64 (/.f64 1 (fma.f64 2 x 2))))) 1/2)))
(fma.f64 (sqrt.f64 (fma.f64 2 x 2)) (sin.f64 B) (.f64 (.f64 (sin.f64 B) (.f64 F F)) (.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 x 2))) 1/2)))
(+.f64 (.f64 1/2 (.f64 (.f64 (sin.f64 B) (pow.f64 F 2)) (sqrt.f64 (/.f64 1 (+.f64 (.f64 2 x) 2))))) (+.f64 (.f64 (sqrt.f64 (+.f64 2 (.f64 2 x))) (sin.f64 B)) (.f64 -1/8 (.f64 (/.f64 (.f64 (sin.f64 B) (pow.f64 F 4)) (+.f64 2 (.f64 2 x))) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 2 x) 2)))))))
(fma.f64 1/2 (.f64 (.f64 (sin.f64 B) (.f64 F F)) (sqrt.f64 (/.f64 1 (fma.f64 2 x 2)))) (fma.f64 (sqrt.f64 (fma.f64 2 x 2)) (sin.f64 B) (.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 x 2))) (/.f64 (sin.f64 B) (/.f64 (fma.f64 2 x 2) (pow.f64 F 4)))))))
(fma.f64 1/2 (.f64 (.f64 F F) (.f64 (sin.f64 B) (sqrt.f64 (/.f64 1 (fma.f64 2 x 2))))) (fma.f64 (sqrt.f64 (fma.f64 2 x 2)) (sin.f64 B) (.f64 (/.f64 (sin.f64 B) (/.f64 (fma.f64 2 x 2) (pow.f64 F 4))) (*.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 x 2))) -1/8))))
(fma.f64 1/2 (.f64 (.f64 F F) (.f64 (sin.f64 B) (sqrt.f64 (/.f64 1 (fma.f64 2 x 2))))) (fma.f64 (sqrt.f64 (fma.f64 2 x 2)) (sin.f64 B) (.f64 (/.f64 (.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 x 2))) (.f64 (sin.f64 B) (pow.f64 F 4))) (+.f64 x 1)) -1/16)))
(+.f64 (.f64 1/2 (.f64 (.f64 (sin.f64 B) (pow.f64 F 2)) (sqrt.f64 (/.f64 1 (+.f64 (.f64 2 x) 2))))) (+.f64 (.f64 1/16 (.f64 (/.f64 (.f64 (sin.f64 B) (pow.f64 F 6)) (+.f64 2 (.f64 2 x))) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 2 x) 2) 3))))) (+.f64 (.f64 (sqrt.f64 (+.f64 2 (.f64 2 x))) (sin.f64 B)) (.f64 -1/8 (.f64 (/.f64 (.f64 (sin.f64 B) (pow.f64 F 4)) (+.f64 2 (.f64 2 x))) (sqrt.f64 (/.f64 1 (+.f64 (.f64 2 x) 2))))))))
(fma.f64 1/2 (.f64 (.f64 (sin.f64 B) (.f64 F F)) (sqrt.f64 (/.f64 1 (fma.f64 2 x 2)))) (fma.f64 1/16 (.f64 (/.f64 (sin.f64 B) (/.f64 (fma.f64 2 x 2) (pow.f64 F 6))) (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 2 x 2) 3)))) (fma.f64 (sqrt.f64 (fma.f64 2 x 2)) (sin.f64 B) (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 x 2))) (/.f64 (sin.f64 B) (/.f64 (fma.f64 2 x 2) (pow.f64 F 4))))))))
(fma.f64 1/2 (.f64 (.f64 F F) (.f64 (sin.f64 B) (sqrt.f64 (/.f64 1 (fma.f64 2 x 2))))) (fma.f64 1/16 (.f64 (/.f64 (pow.f64 F 6) (/.f64 (fma.f64 2 x 2) (sin.f64 B))) (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 2 x 2) 3)))) (fma.f64 (sqrt.f64 (fma.f64 2 x 2)) (sin.f64 B) (.f64 (/.f64 (sin.f64 B) (/.f64 (fma.f64 2 x 2) (pow.f64 F 4))) (.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 x 2))) -1/8)))))
(fma.f64 1/2 (.f64 (.f64 F F) (.f64 (sin.f64 B) (sqrt.f64 (/.f64 1 (fma.f64 2 x 2))))) (fma.f64 1/16 (.f64 (.f64 (/.f64 (sin.f64 B) (fma.f64 2 x 2)) (pow.f64 F 6)) (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 2 x 2) 3)))) (fma.f64 (sqrt.f64 (fma.f64 2 x 2)) (sin.f64 B) (.f64 (/.f64 (.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 x 2))) (.f64 (sin.f64 B) (pow.f64 F 4))) (+.f64 x 1)) -1/16))))
(*.f64 (sin.f64 B) F)
(+.f64 (.f64 1/2 (/.f64 (.f64 (sin.f64 B) (+.f64 (.f64 2 x) 2)) F)) (.f64 (sin.f64 B) F))
(fma.f64 1/2 (/.f64 (sin.f64 B) (/.f64 F (fma.f64 2 x 2))) (*.f64 (sin.f64 B) F))
(fma.f64 1/2 (.f64 (/.f64 (sin.f64 B) F) (fma.f64 2 x 2)) (.f64 (sin.f64 B) F))
(+.f64 (.f64 1/2 (/.f64 (.f64 (sin.f64 B) (+.f64 (.f64 2 x) 2)) F)) (+.f64 (.f64 (sin.f64 B) F) (.f64 -1/8 (/.f64 (.f64 (pow.f64 (+.f64 2 (*.f64 2 x)) 2) (sin.f64 B)) (pow.f64 F 3)))))
(fma.f64 1/2 (/.f64 (sin.f64 B) (/.f64 F (fma.f64 2 x 2))) (fma.f64 (sin.f64 B) F (*.f64 -1/8 (/.f64 (pow.f64 (fma.f64 2 x 2) 2) (/.f64 (pow.f64 F 3) (sin.f64 B))))))
(fma.f64 1/2 (.f64 (/.f64 (sin.f64 B) F) (fma.f64 2 x 2)) (fma.f64 (sin.f64 B) F (.f64 -1/8 (*.f64 (/.f64 (pow.f64 (fma.f64 2 x 2) 2) (pow.f64 F 3)) (sin.f64 B)))))
(fma.f64 1/2 (.f64 (/.f64 (sin.f64 B) F) (fma.f64 2 x 2)) (fma.f64 (sin.f64 B) F (/.f64 (.f64 (*.f64 -1/8 (sin.f64 B)) (pow.f64 (fma.f64 2 x 2) 2)) (pow.f64 F 3))))
(+.f64 (.f64 1/2 (/.f64 (.f64 (sin.f64 B) (+.f64 (.f64 2 x) 2)) F)) (+.f64 (.f64 (sin.f64 B) F) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 (+.f64 2 (.f64 2 x)) 2) (sin.f64 B)) (pow.f64 F 3))) (.f64 1/16 (/.f64 (.f64 (+.f64 2 (.f64 2 x)) (.f64 (sin.f64 B) (pow.f64 (+.f64 (.f64 2 x) 2) 2))) (pow.f64 F 5))))))
(fma.f64 1/2 (/.f64 (sin.f64 B) (/.f64 F (fma.f64 2 x 2))) (fma.f64 (sin.f64 B) F (fma.f64 -1/8 (/.f64 (pow.f64 (fma.f64 2 x 2) 2) (/.f64 (pow.f64 F 3) (sin.f64 B))) (/.f64 (.f64 1/16 (.f64 (fma.f64 2 x 2) (*.f64 (sin.f64 B) (pow.f64 (fma.f64 2 x 2) 2)))) (pow.f64 F 5)))))
(fma.f64 1/2 (.f64 (/.f64 (sin.f64 B) F) (fma.f64 2 x 2)) (fma.f64 (sin.f64 B) F (fma.f64 -1/8 (.f64 (/.f64 (pow.f64 (fma.f64 2 x 2) 2) (pow.f64 F 3)) (sin.f64 B)) (/.f64 (.f64 1/16 (.f64 (sin.f64 B) (pow.f64 (fma.f64 2 x 2) 3))) (pow.f64 F 5)))))
(fma.f64 1/2 (.f64 (/.f64 (sin.f64 B) F) (fma.f64 2 x 2)) (fma.f64 (sin.f64 B) F (fma.f64 -1/8 (.f64 (/.f64 (pow.f64 (fma.f64 2 x 2) 2) (pow.f64 F 3)) (sin.f64 B)) (/.f64 1/16 (/.f64 (pow.f64 F 5) (*.f64 (sin.f64 B) (pow.f64 (fma.f64 2 x 2) 3)))))))
(.f64 -1 (.f64 (sin.f64 B) F))
(neg.f64 (*.f64 (sin.f64 B) F))
(*.f64 (sin.f64 B) (neg.f64 F))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (sin.f64 B) (+.f64 (.f64 2 x) 2)) F)) (.f64 -1 (*.f64 (sin.f64 B) F)))
(fma.f64 -1/2 (/.f64 (sin.f64 B) (/.f64 F (fma.f64 2 x 2))) (neg.f64 (*.f64 (sin.f64 B) F)))
(-.f64 (/.f64 (.f64 (.f64 (fma.f64 2 x 2) -1/2) (sin.f64 B)) F) (*.f64 (sin.f64 B) F))
(-.f64 (.f64 (.f64 (/.f64 (sin.f64 B) F) (fma.f64 2 x 2)) -1/2) (*.f64 (sin.f64 B) F))
(+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 (+.f64 2 (.f64 2 x)) 2) (sin.f64 B)) (pow.f64 F 3))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (sin.f64 B) (+.f64 (.f64 2 x) 2)) F)) (.f64 -1 (.f64 (sin.f64 B) F))))
(fma.f64 1/8 (/.f64 (pow.f64 (fma.f64 2 x 2) 2) (/.f64 (pow.f64 F 3) (sin.f64 B))) (fma.f64 -1/2 (/.f64 (sin.f64 B) (/.f64 F (fma.f64 2 x 2))) (neg.f64 (*.f64 (sin.f64 B) F))))
(-.f64 (fma.f64 (.f64 (/.f64 (pow.f64 (fma.f64 2 x 2) 2) (pow.f64 F 3)) (sin.f64 B)) 1/8 (/.f64 (.f64 (.f64 (fma.f64 2 x 2) -1/2) (sin.f64 B)) F)) (.f64 (sin.f64 B) F))
(fma.f64 (.f64 (/.f64 (pow.f64 (fma.f64 2 x 2) 2) (pow.f64 F 3)) (sin.f64 B)) 1/8 (-.f64 (.f64 (.f64 (/.f64 (sin.f64 B) F) (fma.f64 2 x 2)) -1/2) (.f64 (sin.f64 B) F)))
(+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 (+.f64 2 (.f64 2 x)) 2) (sin.f64 B)) (pow.f64 F 3))) (+.f64 (.f64 -1/16 (/.f64 (.f64 (+.f64 2 (.f64 2 x)) (.f64 (sin.f64 B) (pow.f64 (+.f64 (.f64 2 x) 2) 2))) (pow.f64 F 5))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (sin.f64 B) (+.f64 (.f64 2 x) 2)) F)) (.f64 -1 (*.f64 (sin.f64 B) F)))))
(fma.f64 1/8 (/.f64 (pow.f64 (fma.f64 2 x 2) 2) (/.f64 (pow.f64 F 3) (sin.f64 B))) (fma.f64 -1/16 (/.f64 (fma.f64 2 x 2) (/.f64 (pow.f64 F 5) (.f64 (sin.f64 B) (pow.f64 (fma.f64 2 x 2) 2)))) (fma.f64 -1/2 (/.f64 (sin.f64 B) (/.f64 F (fma.f64 2 x 2))) (neg.f64 (.f64 (sin.f64 B) F)))))
(fma.f64 (.f64 (/.f64 (pow.f64 (fma.f64 2 x 2) 2) (pow.f64 F 3)) (sin.f64 B)) 1/8 (-.f64 (fma.f64 (/.f64 (.f64 (sin.f64 B) (pow.f64 (fma.f64 2 x 2) 3)) (pow.f64 F 5)) -1/16 (/.f64 (.f64 (.f64 (fma.f64 2 x 2) -1/2) (sin.f64 B)) F)) (*.f64 (sin.f64 B) F)))
(fma.f64 (.f64 (/.f64 (pow.f64 (fma.f64 2 x 2) 2) (pow.f64 F 3)) (sin.f64 B)) 1/8 (-.f64 (fma.f64 (/.f64 (.f64 (sin.f64 B) (pow.f64 (fma.f64 2 x 2) 3)) (pow.f64 F 5)) -1/16 (.f64 (.f64 (/.f64 (sin.f64 B) F) (fma.f64 2 x 2)) -1/2)) (*.f64 (sin.f64 B) F)))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2))) (sin.f64 B))
(.f64 (sin.f64 B) (sqrt.f64 (+.f64 (.f64 F F) (pow.f64 (sqrt.f64 2) 2))))
(*.f64 (sin.f64 B) (hypot.f64 F (sqrt.f64 2)))
(+.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)))) (.f64 (sin.f64 B) x)) (*.f64 (sqrt.f64 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2))) (sin.f64 B)))
(fma.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 F F) (pow.f64 (sqrt.f64 2) 2)))) (.f64 x (sin.f64 B)) (.f64 (sin.f64 B) (sqrt.f64 (+.f64 (.f64 F F) (pow.f64 (sqrt.f64 2) 2)))))
(fma.f64 (sqrt.f64 (/.f64 1 (fma.f64 F F 2))) (.f64 x (sin.f64 B)) (.f64 (sin.f64 B) (hypot.f64 F (sqrt.f64 2))))
(fma.f64 (sin.f64 B) (hypot.f64 F (sqrt.f64 2)) (.f64 (sin.f64 B) (.f64 x (sqrt.f64 (/.f64 1 (fma.f64 F F 2))))))
(+.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)))) (.f64 (sin.f64 B) x)) (+.f64 (.f64 (sqrt.f64 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2))) (sin.f64 B)) (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)) 3))) (.f64 (sin.f64 B) (pow.f64 x 2))))))
(fma.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 F F) (pow.f64 (sqrt.f64 2) 2)))) (.f64 x (sin.f64 B)) (fma.f64 (sqrt.f64 (+.f64 (.f64 F F) (pow.f64 (sqrt.f64 2) 2))) (sin.f64 B) (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 F F) (pow.f64 (sqrt.f64 2) 2)) 3))) (.f64 (sin.f64 B) (.f64 x x))))))
(fma.f64 (sqrt.f64 (/.f64 1 (fma.f64 F F 2))) (.f64 x (sin.f64 B)) (fma.f64 (sin.f64 B) (hypot.f64 F (sqrt.f64 2)) (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 F F 2) 3))) (.f64 (.f64 x (*.f64 x (sin.f64 B))) -1/2))))
(fma.f64 (sqrt.f64 (/.f64 1 (fma.f64 F F 2))) (.f64 x (sin.f64 B)) (fma.f64 (.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 F F 2) 3)))) (.f64 x (.f64 x (sin.f64 B))) (*.f64 (sin.f64 B) (hypot.f64 F (sqrt.f64 2)))))
(+.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)))) (.f64 (sin.f64 B) x)) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)) 5))) (.f64 (sin.f64 B) (pow.f64 x 3)))) (+.f64 (.f64 (sqrt.f64 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2))) (sin.f64 B)) (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)) 3))) (*.f64 (sin.f64 B) (pow.f64 x 2)))))))
(fma.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 F F) (pow.f64 (sqrt.f64 2) 2)))) (.f64 x (sin.f64 B)) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 F F) (pow.f64 (sqrt.f64 2) 2)) 5))) (.f64 (sin.f64 B) (pow.f64 x 3))) (fma.f64 (sqrt.f64 (+.f64 (.f64 F F) (pow.f64 (sqrt.f64 2) 2))) (sin.f64 B) (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 F F) (pow.f64 (sqrt.f64 2) 2)) 3))) (.f64 (sin.f64 B) (*.f64 x x)))))))
(fma.f64 (sqrt.f64 (/.f64 1 (fma.f64 F F 2))) (.f64 x (sin.f64 B)) (fma.f64 1/2 (.f64 (sin.f64 B) (.f64 (pow.f64 x 3) (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 F F 2) 5))))) (fma.f64 (sin.f64 B) (hypot.f64 F (sqrt.f64 2)) (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 F F 2) 3))) (.f64 (.f64 x (*.f64 x (sin.f64 B))) -1/2)))))
(fma.f64 (sqrt.f64 (/.f64 1 (fma.f64 F F 2))) (.f64 x (sin.f64 B)) (fma.f64 1/2 (.f64 (sin.f64 B) (.f64 (pow.f64 x 3) (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 F F 2) 5))))) (fma.f64 (.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 F F 2) 3)))) (.f64 x (.f64 x (sin.f64 B))) (*.f64 (sin.f64 B) (hypot.f64 F (sqrt.f64 2))))))
(.f64 (sqrt.f64 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x)))) B)
(.f64 B (sqrt.f64 (+.f64 (fma.f64 2 x 2) (.f64 F F))))
(*.f64 B (sqrt.f64 (fma.f64 F F (fma.f64 2 x 2))))
(*.f64 B (hypot.f64 (sqrt.f64 (fma.f64 2 x 2)) F))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 B 3) (sqrt.f64 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x)))))) (.f64 (sqrt.f64 (+.f64 (pow.f64 F 2) (+.f64 2 (*.f64 2 x)))) B))
(fma.f64 -1/6 (.f64 (sqrt.f64 (+.f64 (fma.f64 2 x 2) (.f64 F F))) (pow.f64 B 3)) (.f64 B (sqrt.f64 (+.f64 (fma.f64 2 x 2) (.f64 F F)))))
(.f64 (sqrt.f64 (fma.f64 F F (fma.f64 2 x 2))) (+.f64 B (.f64 -1/6 (pow.f64 B 3))))
(.f64 (hypot.f64 (sqrt.f64 (fma.f64 2 x 2)) F) (+.f64 B (.f64 -1/6 (pow.f64 B 3))))
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(+.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)))) (/.f64 F (sin.f64 B))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)) 3))) (/.f64 F (sin.f64 B))) (/.f64 (cos.f64 B) (sin.f64 B))) x)) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)) 5))) (/.f64 F (sin.f64 B)))) (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)) 5))) (/.f64 F (sin.f64 B))))) (pow.f64 x 2))) (.f64 -1 (.f64 (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)) 5))) (/.f64 F (sin.f64 B)))) (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)) 5))) (/.f64 F (sin.f64 B))))) (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)))) (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)) 7))) (/.f64 F (sin.f64 B)))) (pow.f64 x 3))))))
(fma.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 F F) (pow.f64 (sqrt.f64 2) 2)))) (/.f64 F (sin.f64 B)) (fma.f64 -1 (.f64 x (fma.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 F F) (pow.f64 (sqrt.f64 2) 2)) 3))) (/.f64 F (sin.f64 B)) (/.f64 (cos.f64 B) (sin.f64 B)))) (.f64 -1 (+.f64 (.f64 (.f64 x x) (.f64 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 F F) (pow.f64 (sqrt.f64 2) 2)) 5))) (/.f64 F (sin.f64 B))) -3/2)) (.f64 (pow.f64 x 3) (fma.f64 -1 (/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 F F) (pow.f64 (sqrt.f64 2) 2)) 5))) (/.f64 F (sin.f64 B))) -3/2) (+.f64 (.f64 F F) (pow.f64 (sqrt.f64 2) 2))) (.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 F F) (pow.f64 (sqrt.f64 2) 2)) 7))))))))))
(fma.f64 (sqrt.f64 (/.f64 1 (fma.f64 F F 2))) (/.f64 F (sin.f64 B)) (-.f64 (neg.f64 (fma.f64 x (fma.f64 (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 F F 2) 3))) (/.f64 F (sin.f64 B)) (/.f64 (cos.f64 B) (sin.f64 B))) (.f64 x (.f64 x (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 F F 2) 5))) (.f64 (/.f64 F (sin.f64 B)) -3/2)))))) (.f64 (pow.f64 x 3) (fma.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 F F 2) 7))) (/.f64 (.f64 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 F F 2) 5))) (neg.f64 (/.f64 F (sin.f64 B)))) -3/2) (fma.f64 F F 2))))))
(fma.f64 (sqrt.f64 (/.f64 1 (fma.f64 F F 2))) (/.f64 F (sin.f64 B)) (-.f64 (neg.f64 (fma.f64 x (fma.f64 (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 F F 2) 3))) (/.f64 F (sin.f64 B)) (/.f64 (cos.f64 B) (sin.f64 B))) (.f64 x (.f64 x (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 F F 2) 5))) (.f64 (/.f64 F (sin.f64 B)) -3/2)))))) (.f64 (pow.f64 x 3) (-.f64 (.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 F F 2) 7)))) (/.f64 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 F F 2) 5))) (/.f64 F (sin.f64 B))) (/.f64 (fma.f64 F F 2) -3/2))))))
(.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B)))
(neg.f64 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(/.f64 (neg.f64 (cos.f64 B)) (/.f64 (sin.f64 B) x))
(.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B)))
(neg.f64 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(/.f64 (neg.f64 (cos.f64 B)) (/.f64 (sin.f64 B) x))
(/.f64 (-.f64 (.f64 F (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x)))))) x) B)
(/.f64 (-.f64 (.f64 F (sqrt.f64 (/.f64 1 (+.f64 (fma.f64 2 x 2) (.f64 F F))))) x) B)
(/.f64 (-.f64 (*.f64 F (sqrt.f64 (/.f64 1 (fma.f64 F F (fma.f64 2 x 2))))) x) B)
(/.f64 (fma.f64 F (sqrt.f64 (/.f64 1 (fma.f64 F F (fma.f64 2 x 2)))) (neg.f64 x)) B)
(-.f64 (+.f64 (.f64 (/.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x)))))) (.f64 (-.f64 (.f64 1/3 x) (.f64 -1/6 (.f64 F (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (*.f64 2 x)))))))) B)) (/.f64 x B))
(-.f64 (fma.f64 (/.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 (fma.f64 2 x 2) (.f64 F F)))) (.f64 B (+.f64 (.f64 x 1/3) (.f64 1/6 (.f64 F (sqrt.f64 (/.f64 1 (+.f64 (fma.f64 2 x 2) (.f64 F F))))))))) (/.f64 x B))
(+.f64 (.f64 B (fma.f64 x 1/3 (.f64 1/6 (.f64 F (sqrt.f64 (/.f64 1 (fma.f64 F F (fma.f64 2 x 2)))))))) (/.f64 (-.f64 (.f64 F (sqrt.f64 (/.f64 1 (fma.f64 F F (fma.f64 2 x 2))))) x) B))
(+.f64 (.f64 B (fma.f64 x 1/3 (.f64 (*.f64 1/6 F) (sqrt.f64 (/.f64 1 (fma.f64 F F (fma.f64 2 x 2))))))) (/.f64 (fma.f64 F (sqrt.f64 (/.f64 1 (fma.f64 F F (fma.f64 2 x 2)))) (neg.f64 x)) B))
(-.f64 (+.f64 (.f64 (/.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x)))))) (+.f64 (.f64 (-.f64 (.f64 1/3 x) (.f64 -1/6 (.f64 F (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x)))))))) B) (.f64 (-.f64 (+.f64 (.f64 -1/9 x) (.f64 2/15 x)) (+.f64 (.f64 1/120 (.f64 F (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x))))))) (.f64 -1/36 (.f64 F (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x))))))))) (pow.f64 B 3)))) (/.f64 x B))
(-.f64 (fma.f64 (/.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 (fma.f64 2 x 2) (.f64 F F)))) (fma.f64 (+.f64 (.f64 x 1/3) (.f64 1/6 (.f64 F (sqrt.f64 (/.f64 1 (+.f64 (fma.f64 2 x 2) (.f64 F F))))))) B (.f64 (pow.f64 B 3) (-.f64 (.f64 x 1/45) (.f64 (.f64 F (sqrt.f64 (/.f64 1 (+.f64 (fma.f64 2 x 2) (.f64 F F))))) -7/360))))) (/.f64 x B))
(+.f64 (fma.f64 B (fma.f64 x 1/3 (.f64 1/6 (.f64 F (sqrt.f64 (/.f64 1 (fma.f64 F F (fma.f64 2 x 2))))))) (.f64 (pow.f64 B 3) (fma.f64 x 1/45 (.f64 (.f64 F (sqrt.f64 (/.f64 1 (fma.f64 F F (fma.f64 2 x 2))))) 7/360)))) (/.f64 (-.f64 (.f64 F (sqrt.f64 (/.f64 1 (fma.f64 F F (fma.f64 2 x 2))))) x) B))
(+.f64 (fma.f64 (pow.f64 B 3) (fma.f64 x 1/45 (.f64 (.f64 F (sqrt.f64 (/.f64 1 (fma.f64 F F (fma.f64 2 x 2))))) 7/360)) (.f64 B (fma.f64 x 1/3 (.f64 (*.f64 1/6 F) (sqrt.f64 (/.f64 1 (fma.f64 F F (fma.f64 2 x 2)))))))) (/.f64 (fma.f64 F (sqrt.f64 (/.f64 1 (fma.f64 F F (fma.f64 2 x 2)))) (neg.f64 x)) B))
(-.f64 (+.f64 (.f64 (-.f64 (+.f64 (.f64 17/315 x) (+.f64 (.f64 -2/45 x) (.f64 -1/3 (+.f64 (.f64 -1/9 x) (.f64 2/15 x))))) (+.f64 (.f64 1/720 (.f64 F (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x))))))) (+.f64 (.f64 -1/5040 (.f64 F (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x))))))) (.f64 1/6 (+.f64 (.f64 1/120 (.f64 F (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x))))))) (.f64 -1/36 (.f64 F (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x)))))))))))) (pow.f64 B 5)) (+.f64 (.f64 (/.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x)))))) (+.f64 (.f64 (-.f64 (.f64 1/3 x) (.f64 -1/6 (.f64 F (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x)))))))) B) (.f64 (-.f64 (+.f64 (.f64 -1/9 x) (.f64 2/15 x)) (+.f64 (.f64 1/120 (.f64 F (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x))))))) (.f64 -1/36 (.f64 F (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (*.f64 2 x))))))))) (pow.f64 B 3))))) (/.f64 x B))
(-.f64 (fma.f64 (-.f64 (fma.f64 17/315 x (fma.f64 -2/45 x (.f64 (.f64 x 1/45) -1/3))) (fma.f64 1/720 (.f64 F (sqrt.f64 (/.f64 1 (+.f64 (fma.f64 2 x 2) (.f64 F F))))) (fma.f64 -1/5040 (.f64 F (sqrt.f64 (/.f64 1 (+.f64 (fma.f64 2 x 2) (.f64 F F))))) (.f64 1/6 (.f64 (.f64 F (sqrt.f64 (/.f64 1 (+.f64 (fma.f64 2 x 2) (.f64 F F))))) -7/360))))) (pow.f64 B 5) (fma.f64 (/.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 (fma.f64 2 x 2) (.f64 F F)))) (fma.f64 (+.f64 (.f64 x 1/3) (.f64 1/6 (.f64 F (sqrt.f64 (/.f64 1 (+.f64 (fma.f64 2 x 2) (.f64 F F))))))) B (.f64 (pow.f64 B 3) (-.f64 (.f64 x 1/45) (.f64 (.f64 F (sqrt.f64 (/.f64 1 (+.f64 (fma.f64 2 x 2) (.f64 F F))))) -7/360)))))) (/.f64 x B))
(fma.f64 (pow.f64 B 5) (+.f64 (.f64 x 1/105) (-.f64 (.f64 x -1/135) (+.f64 (.f64 (.f64 F (sqrt.f64 (/.f64 1 (fma.f64 F F (fma.f64 2 x 2))))) -7/2160) (.f64 (.f64 F (sqrt.f64 (/.f64 1 (fma.f64 F F (fma.f64 2 x 2))))) 1/840)))) (+.f64 (fma.f64 B (fma.f64 x 1/3 (.f64 1/6 (.f64 F (sqrt.f64 (/.f64 1 (fma.f64 F F (fma.f64 2 x 2))))))) (.f64 (pow.f64 B 3) (fma.f64 x 1/45 (.f64 (.f64 F (sqrt.f64 (/.f64 1 (fma.f64 F F (fma.f64 2 x 2))))) 7/360)))) (/.f64 (-.f64 (.f64 F (sqrt.f64 (/.f64 1 (fma.f64 F F (fma.f64 2 x 2))))) x) B)))
(fma.f64 (pow.f64 B 5) (+.f64 (.f64 x 1/105) (-.f64 (.f64 x -1/135) (+.f64 (.f64 (.f64 F (sqrt.f64 (/.f64 1 (fma.f64 F F (fma.f64 2 x 2))))) -7/2160) (.f64 (.f64 F (sqrt.f64 (/.f64 1 (fma.f64 F F (fma.f64 2 x 2))))) 1/840)))) (+.f64 (fma.f64 (pow.f64 B 3) (fma.f64 x 1/45 (.f64 (.f64 F (sqrt.f64 (/.f64 1 (fma.f64 F F (fma.f64 2 x 2))))) 7/360)) (.f64 B (fma.f64 x 1/3 (.f64 (*.f64 1/6 F) (sqrt.f64 (/.f64 1 (fma.f64 F F (fma.f64 2 x 2)))))))) (/.f64 (fma.f64 F (sqrt.f64 (/.f64 1 (fma.f64 F F (fma.f64 2 x 2)))) (neg.f64 x)) B)))
(-.f64 (.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x)))))) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(fma.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (fma.f64 2 x 2) (*.f64 F F)))) (neg.f64 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))))
(-.f64 (.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (fma.f64 F F (fma.f64 2 x 2))))) (.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x)))))) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(fma.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (fma.f64 2 x 2) (*.f64 F F)))) (neg.f64 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))))
(-.f64 (.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (fma.f64 F F (fma.f64 2 x 2))))) (.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x)))))) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(fma.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (fma.f64 2 x 2) (*.f64 F F)))) (neg.f64 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))))
(-.f64 (.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (fma.f64 F F (fma.f64 2 x 2))))) (.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x)))))) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(fma.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (fma.f64 2 x 2) (*.f64 F F)))) (neg.f64 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))))
(-.f64 (.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (fma.f64 F F (fma.f64 2 x 2))))) (.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x)))))) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(fma.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (fma.f64 2 x 2) (*.f64 F F)))) (neg.f64 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))))
(-.f64 (.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (fma.f64 F F (fma.f64 2 x 2))))) (.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x)))))) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(fma.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (fma.f64 2 x 2) (*.f64 F F)))) (neg.f64 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))))
(-.f64 (.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (fma.f64 F F (fma.f64 2 x 2))))) (.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x)))))) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(fma.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (fma.f64 2 x 2) (*.f64 F F)))) (neg.f64 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))))
(-.f64 (.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (fma.f64 F F (fma.f64 2 x 2))))) (.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x)))))) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(fma.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (fma.f64 2 x 2) (*.f64 F F)))) (neg.f64 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))))
(-.f64 (.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (fma.f64 F F (fma.f64 2 x 2))))) (.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))

eval167.0ms (1.8%)

Compiler: Compiled 10169 to 6130 computations (39.7% saved)

prune153.0ms (1.6%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	264	9	273
Fresh	9	2	11
Picked	1	0	1
Done	0	0	0
Total	274	11	285

Error

0.0b

Counts

285 → 11

Alt Table

Click to see full alt table

Status	Error	Program
	8.6b	(-.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 F) 2) (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2)))) (/.f64 (cbrt.f64 F) (sin.f64 B))) (/.f64 x (tan.f64 B)))
	15.3b	(/.f64 (/.f64 (-.f64 (.f64 F (tan.f64 B)) (.f64 (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2))) (.f64 (sin.f64 B) x))) (.f64 (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2))) (sin.f64 B))) (tan.f64 B))
	10.7b	(-.f64 (pow.f64 (/.f64 (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2))) (/.f64 F (sin.f64 B))) -1) (/.f64 x (tan.f64 B)))
	11.6b	(-.f64 (/.f64 F (/.f64 (sin.f64 B) (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2))) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
	6.0b	(+.f64 (-.f64 (/.f64 (/.f64 F (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2)))) (sin.f64 B)) (/.f64 x (tan.f64 B))) (fma.f64 (neg.f64 (/.f64 1 (tan.f64 B))) x (/.f64 x (tan.f64 B))))
	6.1b	(-.f64 (/.f64 F (*.f64 (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2))) (sin.f64 B))) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
	24.3b	(.f64 (-.f64 (.f64 F (tan.f64 B)) (.f64 (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2))) (.f64 (sin.f64 B) x))) (/.f64 1 (.f64 (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2))) (.f64 (sin.f64 B) (tan.f64 B)))))
	6.4b	(-.f64 (.f64 (/.f64 (pow.f64 (cbrt.f64 F) 2) 1) (/.f64 (cbrt.f64 F) (.f64 (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2))) (sin.f64 B)))) (/.f64 x (tan.f64 B)))
	6.0b	(-.f64 (*.f64 F (/.f64 (/.f64 1 (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2)))) (sin.f64 B))) (/.f64 x (tan.f64 B)))
▶	0.3b	(-.f64 (/.f64 F (*.f64 (sin.f64 B) (hypot.f64 F (sqrt.f64 2)))) (/.f64 x (tan.f64 B)))
	11.6b	(-.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))

Compiler

Compiled 578 to 390 computations (32.5% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (/.f64 F (*.f64 (sin.f64 B) (hypot.f64 F (sqrt.f64 2)))) (/.f64 x (tan.f64 B)))
	0.1b	(/.f64 x (tan.f64 B))
✓	0.2b	(/.f64 F (*.f64 (sin.f64 B) (hypot.f64 F (sqrt.f64 2))))
✓	0.3b	(*.f64 (sin.f64 B) (hypot.f64 F (sqrt.f64 2)))

series19.0ms (0.2%)

Counts

3 → 84

Calls

21 calls:

Time	Variable		Point	Expression
3.0ms	B	@	0	(/.f64 F (*.f64 (sin.f64 B) (hypot.f64 F (sqrt.f64 2))))
1.0ms	F	@	inf	(/.f64 F (*.f64 (sin.f64 B) (hypot.f64 F (sqrt.f64 2))))
1.0ms	F	@	-inf	(/.f64 F (*.f64 (sin.f64 B) (hypot.f64 F (sqrt.f64 2))))
1.0ms	B	@	0	(*.f64 (sin.f64 B) (hypot.f64 F (sqrt.f64 2)))
1.0ms	B	@	inf	(*.f64 (sin.f64 B) (hypot.f64 F (sqrt.f64 2)))

rewrite69.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

270×	`expm1-udef_binary64`
270×	`log1p-udef_binary64`
153×	`add-sqr-sqrt_binary64`
149×	`pow1_binary64`
148×	`*-un-lft-identity_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	47
1	290	47
2	4256	47

Stop Event

1×	node limit

Counts

3 → 109

Calls

Call 1

Inputs
(*.f64 (sin.f64 B) (hypot.f64 F (sqrt.f64 2)))
(/.f64 F (*.f64 (sin.f64 B) (hypot.f64 F (sqrt.f64 2))))
(-.f64 (/.f64 F (*.f64 (sin.f64 B) (hypot.f64 F (sqrt.f64 2)))) (/.f64 x (tan.f64 B)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 B) (hypot.f64 F (sqrt.f64 2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sin.f64 B) (hypot.f64 F (sqrt.f64 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sin.f64 B) (hypot.f64 F (sqrt.f64 2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sin.f64 B) (hypot.f64 F (sqrt.f64 2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sin.f64 B) (hypot.f64 F (sqrt.f64 2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (sin.f64 B) 2) (fma.f64 F F 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (sin.f64 B)) (hypot.f64 F (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 B) (hypot.f64 F (sqrt.f64 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sin.f64 B) (hypot.f64 F (sqrt.f64 2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (sin.f64 B) 3) (pow.f64 (hypot.f64 F (sqrt.f64 2)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (hypot.f64 F (sqrt.f64 2)) 3) (pow.f64 (sin.f64 B) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sin.f64 B) (hypot.f64 F (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sin.f64 B) (hypot.f64 F (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 B) (hypot.f64 F (sqrt.f64 2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sin.f64 B) (hypot.f64 F (sqrt.f64 2)))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 F (sin.f64 B)) (hypot.f64 F (sqrt.f64 2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 F (/.f64 (/.f64 1 (sin.f64 B)) (hypot.f64 F (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 F (sin.f64 B)) (hypot.f64 F (sqrt.f64 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (/.f64 F (sin.f64 B)) (hypot.f64 F (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (/.f64 F (sin.f64 B)) (hypot.f64 F (sqrt.f64 2)))) (pow.f64 (cbrt.f64 (/.f64 (/.f64 F (sin.f64 B)) (hypot.f64 F (sqrt.f64 2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 F (sin.f64 B)) (hypot.f64 F (sqrt.f64 2)))) 2) (cbrt.f64 (/.f64 (/.f64 F (sin.f64 B)) (hypot.f64 F (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 F) 2) (*.f64 (cbrt.f64 F) (/.f64 (/.f64 1 (sin.f64 B)) (hypot.f64 F (sqrt.f64 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(#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (/.f64 F (sin.f64 B)) (hypot.f64 F (sqrt.f64 2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (/.f64 F (sin.f64 B)) (hypot.f64 F (sqrt.f64 2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (hypot.f64 F (sqrt.f64 2)) (/.f64 F (sin.f64 B))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 F (*.f64 (hypot.f64 F (sqrt.f64 2)) (neg.f64 (sin.f64 B)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (/.f64 F (sin.f64 B)) (hypot.f64 F (sqrt.f64 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (/.f64 F (sin.f64 B)) (hypot.f64 F (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 F (sin.f64 B)) (hypot.f64 F (sqrt.f64 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (/.f64 F (sin.f64 B)) (hypot.f64 F (sqrt.f64 2))) 3))))) (#(struct:change #<rule 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (/.f64 F (sin.f64 B)) (hypot.f64 F (sqrt.f64 2))) (/.f64 (neg.f64 x) (tan.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (/.f64 F (sin.f64 B)) (hypot.f64 F (sqrt.f64 2))) (*.f64 (/.f64 (neg.f64 x) (tan.f64 B)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 (/.f64 F (sin.f64 B)) (hypot.f64 F (sqrt.f64 2))) (/.f64 x (tan.f64 B))) (fma.f64 (neg.f64 (/.f64 1 (tan.f64 B))) x (/.f64 x (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 (/.f64 F (sin.f64 B)) (hypot.f64 F (sqrt.f64 2))) (/.f64 x (tan.f64 B))) (fma.f64 (/.f64 (neg.f64 x) (tan.f64 B)) 1 (/.f64 x (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 (/.f64 F (sin.f64 B)) (hypot.f64 F (sqrt.f64 2))) (/.f64 x (tan.f64 B))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 x (tan.f64 B)))) (pow.f64 (cbrt.f64 (/.f64 x (tan.f64 B))) 2) (/.f64 x (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 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simplify69.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

307×	`cancel-sign-sub-inv_binary64`
298×	`fma-def_binary64`
178×	`distribute-rgt-in_binary64`
167×	`distribute-lft-in_binary64`
156×	`associate-r_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	258	3551
1	831	2646
2	3063	2511

Stop Event

1×	node limit

Counts

193 → 208

Calls

Call 1

Inputs
(*.f64 (sqrt.f64 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2))) B)
(+.f64 (.f64 -1/6 (.f64 (sqrt.f64 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2))) (pow.f64 B 3))) (*.f64 (sqrt.f64 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2))) B))
(+.f64 (.f64 1/120 (.f64 (sqrt.f64 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2))) (pow.f64 B 5))) (+.f64 (.f64 -1/6 (.f64 (sqrt.f64 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2))) (pow.f64 B 3))) (*.f64 (sqrt.f64 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2))) B)))
(+.f64 (.f64 1/120 (.f64 (sqrt.f64 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2))) (pow.f64 B 5))) (+.f64 (.f64 -1/6 (.f64 (sqrt.f64 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2))) (pow.f64 B 3))) (+.f64 (.f64 (sqrt.f64 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2))) B) (.f64 -1/5040 (*.f64 (sqrt.f64 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2))) (pow.f64 B 7))))))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2))) (sin.f64 B))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2))) (sin.f64 B))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2))) (sin.f64 B))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2))) (sin.f64 B))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2))) (sin.f64 B))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2))) (sin.f64 B))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2))) (sin.f64 B))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2))) (sin.f64 B))
(*.f64 (sqrt.f64 2) (sin.f64 B))
(+.f64 (.f64 1/2 (/.f64 (.f64 (sin.f64 B) (pow.f64 F 2)) (sqrt.f64 2))) (*.f64 (sqrt.f64 2) (sin.f64 B)))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (sin.f64 B) (pow.f64 F 4)) (pow.f64 (sqrt.f64 2) 3))) (+.f64 (.f64 1/2 (/.f64 (.f64 (sin.f64 B) (pow.f64 F 2)) (sqrt.f64 2))) (*.f64 (sqrt.f64 2) (sin.f64 B))))
(+.f64 (.f64 1/16 (/.f64 (.f64 (sin.f64 B) (pow.f64 F 6)) (pow.f64 (sqrt.f64 2) 5))) (+.f64 (.f64 -1/8 (/.f64 (.f64 (sin.f64 B) (pow.f64 F 4)) (pow.f64 (sqrt.f64 2) 3))) (+.f64 (.f64 1/2 (/.f64 (.f64 (sin.f64 B) (pow.f64 F 2)) (sqrt.f64 2))) (*.f64 (sqrt.f64 2) (sin.f64 B)))))
(*.f64 (sin.f64 B) F)
(+.f64 (.f64 (sin.f64 B) F) (.f64 1/2 (/.f64 (*.f64 (pow.f64 (sqrt.f64 2) 2) (sin.f64 B)) F)))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 (sqrt.f64 2) 4) (sin.f64 B)) (pow.f64 F 3))) (+.f64 (.f64 (sin.f64 B) F) (.f64 1/2 (/.f64 (*.f64 (pow.f64 (sqrt.f64 2) 2) (sin.f64 B)) F))))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 (sqrt.f64 2) 4) (sin.f64 B)) (pow.f64 F 3))) (+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 (sqrt.f64 2) 6) (sin.f64 B)) (pow.f64 F 5))) (+.f64 (.f64 (sin.f64 B) F) (.f64 1/2 (/.f64 (*.f64 (pow.f64 (sqrt.f64 2) 2) (sin.f64 B)) F)))))
(.f64 -1 (.f64 (sin.f64 B) F))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 (sqrt.f64 2) 2) (sin.f64 B)) F)) (.f64 -1 (.f64 (sin.f64 B) F)))
(+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 (sqrt.f64 2) 4) (sin.f64 B)) (pow.f64 F 3))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 (sqrt.f64 2) 2) (sin.f64 B)) F)) (.f64 -1 (.f64 (sin.f64 B) F))))
(+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 (sqrt.f64 2) 4) (sin.f64 B)) (pow.f64 F 3))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 (sqrt.f64 2) 2) (sin.f64 B)) F)) (+.f64 (.f64 -1/16 (/.f64 (.f64 (pow.f64 (sqrt.f64 2) 6) (sin.f64 B)) (pow.f64 F 5))) (.f64 -1 (.f64 (sin.f64 B) F)))))
(/.f64 F (*.f64 (sqrt.f64 2) (sin.f64 B)))
(+.f64 (/.f64 F (.f64 (sqrt.f64 2) (sin.f64 B))) (.f64 -1/2 (/.f64 (pow.f64 F 3) (*.f64 (pow.f64 (sqrt.f64 2) 3) (sin.f64 B)))))
(+.f64 (/.f64 F (.f64 (sqrt.f64 2) (sin.f64 B))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 F 3) (.f64 (pow.f64 (sqrt.f64 2) 3) (sin.f64 B)))) (.f64 3/8 (/.f64 (pow.f64 F 5) (*.f64 (pow.f64 (sqrt.f64 2) 5) (sin.f64 B))))))
(+.f64 (/.f64 F (.f64 (sqrt.f64 2) (sin.f64 B))) (+.f64 (.f64 -5/16 (/.f64 (pow.f64 F 7) (.f64 (pow.f64 (sqrt.f64 2) 7) (sin.f64 B)))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 F 3) (.f64 (pow.f64 (sqrt.f64 2) 3) (sin.f64 B)))) (.f64 3/8 (/.f64 (pow.f64 F 5) (*.f64 (pow.f64 (sqrt.f64 2) 5) (sin.f64 B)))))))
(/.f64 1 (sin.f64 B))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 (sin.f64 B) (pow.f64 F 2)))) (/.f64 1 (sin.f64 B)))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 (sin.f64 B) (pow.f64 F 2)))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1/4 (/.f64 (pow.f64 (sqrt.f64 2) 4) (sin.f64 B))) (*.f64 -1/8 (/.f64 (pow.f64 (sqrt.f64 2) 4) (sin.f64 B)))) (pow.f64 F 4))) (/.f64 1 (sin.f64 B))))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 (sin.f64 B) (pow.f64 F 2)))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1/2 (.f64 (pow.f64 (sqrt.f64 2) 2) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 (sqrt.f64 2) 4) (sin.f64 B))) (.f64 -1/8 (/.f64 (pow.f64 (sqrt.f64 2) 4) (sin.f64 B)))))) (.f64 1/8 (/.f64 (pow.f64 (sqrt.f64 2) 6) (sin.f64 B)))) (pow.f64 F 6))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1/4 (/.f64 (pow.f64 (sqrt.f64 2) 4) (sin.f64 B))) (*.f64 -1/8 (/.f64 (pow.f64 (sqrt.f64 2) 4) (sin.f64 B)))) (pow.f64 F 4))) (/.f64 1 (sin.f64 B)))))
(/.f64 -1 (sin.f64 B))
(-.f64 (.f64 1/2 (/.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 (sin.f64 B) (pow.f64 F 2)))) (/.f64 1 (sin.f64 B)))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 (sin.f64 B) (pow.f64 F 2)))) (.f64 -1 (/.f64 (+.f64 (.f64 1/4 (/.f64 (pow.f64 (sqrt.f64 2) 4) (sin.f64 B))) (*.f64 1/8 (/.f64 (pow.f64 (sqrt.f64 2) 4) (sin.f64 B)))) (pow.f64 F 4)))) (/.f64 1 (sin.f64 B)))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 (sin.f64 B) (pow.f64 F 2)))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1/8 (/.f64 (pow.f64 (sqrt.f64 2) 6) (sin.f64 B))) (.f64 -1/2 (.f64 (pow.f64 (sqrt.f64 2) 2) (+.f64 (.f64 1/4 (/.f64 (pow.f64 (sqrt.f64 2) 4) (sin.f64 B))) (.f64 1/8 (/.f64 (pow.f64 (sqrt.f64 2) 4) (sin.f64 B))))))) (pow.f64 F 6))) (.f64 -1 (/.f64 (+.f64 (.f64 1/4 (/.f64 (pow.f64 (sqrt.f64 2) 4) (sin.f64 B))) (*.f64 1/8 (/.f64 (pow.f64 (sqrt.f64 2) 4) (sin.f64 B)))) (pow.f64 F 4))))) (/.f64 1 (sin.f64 B)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)))) (/.f64 F B))
(+.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)))) (/.f64 F B)) (.f64 1/6 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)))) (.f64 F B))))
(+.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)))) (/.f64 F B)) (+.f64 (.f64 1/6 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)))) (.f64 F B))) (.f64 -1 (.f64 (pow.f64 B 3) (+.f64 (.f64 -1/36 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)))) F)) (.f64 1/120 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)))) F)))))))
(+.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)))) (/.f64 F B)) (+.f64 (.f64 1/6 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)))) (.f64 F B))) (+.f64 (.f64 -1 (.f64 (pow.f64 B 5) (+.f64 (.f64 1/720 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)))) F)) (+.f64 (.f64 -1/5040 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)))) F)) (.f64 1/6 (+.f64 (.f64 -1/36 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)))) F)) (.f64 1/120 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)))) F)))))))) (.f64 -1 (.f64 (pow.f64 B 3) (+.f64 (.f64 -1/36 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)))) F)) (.f64 1/120 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)))) F))))))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)))) (/.f64 F (sin.f64 B)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)))) (/.f64 F (sin.f64 B)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)))) (/.f64 F (sin.f64 B)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)))) (/.f64 F (sin.f64 B)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)))) (/.f64 F (sin.f64 B)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)))) (/.f64 F (sin.f64 B)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)))) (/.f64 F (sin.f64 B)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)))) (/.f64 F (sin.f64 B)))
(.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B)))
(+.f64 (/.f64 F (.f64 (sqrt.f64 2) (sin.f64 B))) (.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))))
(+.f64 (/.f64 F (.f64 (sqrt.f64 2) (sin.f64 B))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 F 3) (.f64 (pow.f64 (sqrt.f64 2) 3) (sin.f64 B)))) (.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))))
(+.f64 (/.f64 F (.f64 (sqrt.f64 2) (sin.f64 B))) (+.f64 (.f64 3/8 (/.f64 (pow.f64 F 5) (.f64 (pow.f64 (sqrt.f64 2) 5) (sin.f64 B)))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 F 3) (.f64 (pow.f64 (sqrt.f64 2) 3) (sin.f64 B)))) (.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))))))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (+.f64 (.f64 -1/2 (/.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 (sin.f64 B) (pow.f64 F 2)))) (/.f64 1 (sin.f64 B))) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (+.f64 (.f64 -1/2 (/.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 (sin.f64 B) (pow.f64 F 2)))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1/8 (/.f64 (pow.f64 (sqrt.f64 2) 4) (sin.f64 B))) (.f64 -1/4 (/.f64 (pow.f64 (sqrt.f64 2) 4) (sin.f64 B)))) (pow.f64 F 4))) (/.f64 1 (sin.f64 B)))) (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (+.f64 (.f64 -1/2 (/.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 (sin.f64 B) (pow.f64 F 2)))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1/2 (.f64 (pow.f64 (sqrt.f64 2) 2) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 (sqrt.f64 2) 4) (sin.f64 B))) (.f64 -1/4 (/.f64 (pow.f64 (sqrt.f64 2) 4) (sin.f64 B)))))) (.f64 1/8 (/.f64 (pow.f64 (sqrt.f64 2) 6) (sin.f64 B)))) (pow.f64 F 6))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1/8 (/.f64 (pow.f64 (sqrt.f64 2) 4) (sin.f64 B))) (.f64 -1/4 (/.f64 (pow.f64 (sqrt.f64 2) 4) (sin.f64 B)))) (pow.f64 F 4))) (/.f64 1 (sin.f64 B))))) (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B)))
(.f64 -1 (+.f64 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B)) (/.f64 1 (sin.f64 B))))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 (sin.f64 B) (pow.f64 F 2)))) (.f64 -1 (+.f64 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B)) (/.f64 1 (sin.f64 B)))))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 (sin.f64 B) (pow.f64 F 2)))) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 (sqrt.f64 2) 4) (.f64 (sin.f64 B) (pow.f64 F 4)))) (+.f64 (.f64 -1 (+.f64 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B)) (/.f64 1 (sin.f64 B)))) (.f64 -1/4 (/.f64 (pow.f64 (sqrt.f64 2) 4) (.f64 (sin.f64 B) (pow.f64 F 4)))))))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 (sin.f64 B) (pow.f64 F 2)))) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 (sqrt.f64 2) 4) (.f64 (sin.f64 B) (pow.f64 F 4)))) (+.f64 (.f64 -1 (+.f64 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B)) (/.f64 1 (sin.f64 B)))) (+.f64 (.f64 1/8 (/.f64 (pow.f64 (sqrt.f64 2) 6) (.f64 (sin.f64 B) (pow.f64 F 6)))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 (sqrt.f64 2) 2) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 (sqrt.f64 2) 4) (sin.f64 B))) (.f64 -1/8 (/.f64 (pow.f64 (sqrt.f64 2) 4) (sin.f64 B))))) (pow.f64 F 6))) (.f64 -1/4 (/.f64 (pow.f64 (sqrt.f64 2) 4) (.f64 (sin.f64 B) (pow.f64 F 4)))))))))
(/.f64 (-.f64 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)))) F) x) B)
(-.f64 (+.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)))) (/.f64 F B)) (.f64 (-.f64 (.f64 1/3 x) (.f64 -1/6 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)))) F))) B)) (/.f64 x B))
(-.f64 (+.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)))) (/.f64 F B)) (+.f64 (.f64 (-.f64 (.f64 1/3 x) (.f64 -1/6 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)))) F))) B) (.f64 (-.f64 (+.f64 (.f64 -1/9 x) (.f64 2/15 x)) (+.f64 (.f64 -1/36 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)))) F)) (.f64 1/120 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)))) F)))) (pow.f64 B 3)))) (/.f64 x B))
(-.f64 (+.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)))) (/.f64 F B)) (+.f64 (.f64 (-.f64 (.f64 1/3 x) (.f64 -1/6 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)))) F))) B) (+.f64 (.f64 (-.f64 (+.f64 (.f64 17/315 x) (+.f64 (.f64 -2/45 x) (.f64 -1/3 (+.f64 (.f64 -1/9 x) (.f64 2/15 x))))) (+.f64 (.f64 1/720 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)))) F)) (+.f64 (.f64 -1/5040 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)))) F)) (.f64 1/6 (+.f64 (.f64 -1/36 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)))) F)) (.f64 1/120 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)))) F))))))) (pow.f64 B 5)) (.f64 (-.f64 (+.f64 (.f64 -1/9 x) (.f64 2/15 x)) (+.f64 (.f64 -1/36 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)))) F)) (.f64 1/120 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)))) F)))) (pow.f64 B 3))))) (/.f64 x B))
(-.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)))) (/.f64 F (sin.f64 B))) (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)))) (/.f64 F (sin.f64 B))) (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)))) (/.f64 F (sin.f64 B))) (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)))) (/.f64 F (sin.f64 B))) (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)))) (/.f64 F (sin.f64 B))) (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)))) (/.f64 F (sin.f64 B))) (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)))) (/.f64 F (sin.f64 B))) (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)))) (/.f64 F (sin.f64 B))) (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)))) (/.f64 F (sin.f64 B)))
(+.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)))) (/.f64 F (sin.f64 B))) (.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))))
(+.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)))) (/.f64 F (sin.f64 B))) (.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))))
(+.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)))) (/.f64 F (sin.f64 B))) (.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))))
(.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B)))
(+.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)))) (/.f64 F (sin.f64 B))) (.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))))
(+.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)))) (/.f64 F (sin.f64 B))) (.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))))
(+.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)))) (/.f64 F (sin.f64 B))) (.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))))
(.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B)))
(+.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)))) (/.f64 F (sin.f64 B))) (.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))))
(+.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)))) (/.f64 F (sin.f64 B))) (.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))))
(+.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)))) (/.f64 F (sin.f64 B))) (.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))))

Outputs
(*.f64 (sqrt.f64 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2))) B)
(.f64 (sqrt.f64 (+.f64 (.f64 F F) (pow.f64 (sqrt.f64 2) 2))) B)
(*.f64 (hypot.f64 F (sqrt.f64 2)) B)
(+.f64 (.f64 -1/6 (.f64 (sqrt.f64 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2))) (pow.f64 B 3))) (*.f64 (sqrt.f64 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2))) B))
(fma.f64 -1/6 (.f64 (sqrt.f64 (+.f64 (.f64 F F) (pow.f64 (sqrt.f64 2) 2))) (pow.f64 B 3)) (.f64 (sqrt.f64 (+.f64 (.f64 F F) (pow.f64 (sqrt.f64 2) 2))) B))
(fma.f64 (hypot.f64 F (sqrt.f64 2)) B (.f64 (hypot.f64 F (sqrt.f64 2)) (.f64 (pow.f64 B 3) -1/6)))
(.f64 (hypot.f64 F (sqrt.f64 2)) (+.f64 B (.f64 -1/6 (pow.f64 B 3))))
(+.f64 (.f64 1/120 (.f64 (sqrt.f64 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2))) (pow.f64 B 5))) (+.f64 (.f64 -1/6 (.f64 (sqrt.f64 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2))) (pow.f64 B 3))) (*.f64 (sqrt.f64 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2))) B)))
(fma.f64 1/120 (.f64 (sqrt.f64 (+.f64 (.f64 F F) (pow.f64 (sqrt.f64 2) 2))) (pow.f64 B 5)) (fma.f64 -1/6 (.f64 (sqrt.f64 (+.f64 (.f64 F F) (pow.f64 (sqrt.f64 2) 2))) (pow.f64 B 3)) (.f64 (sqrt.f64 (+.f64 (.f64 F F) (pow.f64 (sqrt.f64 2) 2))) B)))
(fma.f64 1/120 (.f64 (hypot.f64 F (sqrt.f64 2)) (pow.f64 B 5)) (fma.f64 (hypot.f64 F (sqrt.f64 2)) B (.f64 (hypot.f64 F (sqrt.f64 2)) (*.f64 (pow.f64 B 3) -1/6))))
(fma.f64 1/120 (.f64 (hypot.f64 F (sqrt.f64 2)) (pow.f64 B 5)) (.f64 (hypot.f64 F (sqrt.f64 2)) (+.f64 B (*.f64 -1/6 (pow.f64 B 3)))))
(+.f64 (.f64 1/120 (.f64 (sqrt.f64 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2))) (pow.f64 B 5))) (+.f64 (.f64 -1/6 (.f64 (sqrt.f64 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2))) (pow.f64 B 3))) (+.f64 (.f64 (sqrt.f64 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2))) B) (.f64 -1/5040 (*.f64 (sqrt.f64 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2))) (pow.f64 B 7))))))
(fma.f64 1/120 (.f64 (sqrt.f64 (+.f64 (.f64 F F) (pow.f64 (sqrt.f64 2) 2))) (pow.f64 B 5)) (fma.f64 -1/6 (.f64 (sqrt.f64 (+.f64 (.f64 F F) (pow.f64 (sqrt.f64 2) 2))) (pow.f64 B 3)) (fma.f64 (sqrt.f64 (+.f64 (.f64 F F) (pow.f64 (sqrt.f64 2) 2))) B (.f64 -1/5040 (.f64 (sqrt.f64 (+.f64 (.f64 F F) (pow.f64 (sqrt.f64 2) 2))) (pow.f64 B 7))))))
(fma.f64 1/120 (.f64 (hypot.f64 F (sqrt.f64 2)) (pow.f64 B 5)) (fma.f64 (.f64 (hypot.f64 F (sqrt.f64 2)) -1/6) (pow.f64 B 3) (fma.f64 (hypot.f64 F (sqrt.f64 2)) B (.f64 (hypot.f64 F (sqrt.f64 2)) (.f64 (pow.f64 B 7) -1/5040)))))
(+.f64 (.f64 (hypot.f64 F (sqrt.f64 2)) (+.f64 B (.f64 -1/6 (pow.f64 B 3)))) (.f64 (hypot.f64 F (sqrt.f64 2)) (+.f64 (.f64 -1/5040 (pow.f64 B 7)) (*.f64 1/120 (pow.f64 B 5)))))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2))) (sin.f64 B))
(.f64 (sqrt.f64 (+.f64 (.f64 F F) (pow.f64 (sqrt.f64 2) 2))) (sin.f64 B))
(*.f64 (hypot.f64 F (sqrt.f64 2)) (sin.f64 B))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2))) (sin.f64 B))
(.f64 (sqrt.f64 (+.f64 (.f64 F F) (pow.f64 (sqrt.f64 2) 2))) (sin.f64 B))
(*.f64 (hypot.f64 F (sqrt.f64 2)) (sin.f64 B))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2))) (sin.f64 B))
(.f64 (sqrt.f64 (+.f64 (.f64 F F) (pow.f64 (sqrt.f64 2) 2))) (sin.f64 B))
(*.f64 (hypot.f64 F (sqrt.f64 2)) (sin.f64 B))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2))) (sin.f64 B))
(.f64 (sqrt.f64 (+.f64 (.f64 F F) (pow.f64 (sqrt.f64 2) 2))) (sin.f64 B))
(*.f64 (hypot.f64 F (sqrt.f64 2)) (sin.f64 B))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2))) (sin.f64 B))
(.f64 (sqrt.f64 (+.f64 (.f64 F F) (pow.f64 (sqrt.f64 2) 2))) (sin.f64 B))
(*.f64 (hypot.f64 F (sqrt.f64 2)) (sin.f64 B))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2))) (sin.f64 B))
(.f64 (sqrt.f64 (+.f64 (.f64 F F) (pow.f64 (sqrt.f64 2) 2))) (sin.f64 B))
(*.f64 (hypot.f64 F (sqrt.f64 2)) (sin.f64 B))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2))) (sin.f64 B))
(.f64 (sqrt.f64 (+.f64 (.f64 F F) (pow.f64 (sqrt.f64 2) 2))) (sin.f64 B))
(*.f64 (hypot.f64 F (sqrt.f64 2)) (sin.f64 B))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2))) (sin.f64 B))
(.f64 (sqrt.f64 (+.f64 (.f64 F F) (pow.f64 (sqrt.f64 2) 2))) (sin.f64 B))
(*.f64 (hypot.f64 F (sqrt.f64 2)) (sin.f64 B))
(*.f64 (sqrt.f64 2) (sin.f64 B))
(+.f64 (.f64 1/2 (/.f64 (.f64 (sin.f64 B) (pow.f64 F 2)) (sqrt.f64 2))) (*.f64 (sqrt.f64 2) (sin.f64 B)))
(fma.f64 1/2 (/.f64 (.f64 (.f64 F F) (sin.f64 B)) (sqrt.f64 2)) (*.f64 (sqrt.f64 2) (sin.f64 B)))
(fma.f64 (sqrt.f64 2) (sin.f64 B) (.f64 1/2 (/.f64 (.f64 (*.f64 F F) (sin.f64 B)) (sqrt.f64 2))))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (sin.f64 B) (pow.f64 F 4)) (pow.f64 (sqrt.f64 2) 3))) (+.f64 (.f64 1/2 (/.f64 (.f64 (sin.f64 B) (pow.f64 F 2)) (sqrt.f64 2))) (*.f64 (sqrt.f64 2) (sin.f64 B))))
(fma.f64 -1/8 (/.f64 (.f64 (sin.f64 B) (pow.f64 F 4)) (pow.f64 (sqrt.f64 2) 3)) (fma.f64 1/2 (/.f64 (.f64 (.f64 F F) (sin.f64 B)) (sqrt.f64 2)) (.f64 (sqrt.f64 2) (sin.f64 B))))
(+.f64 (fma.f64 (sqrt.f64 2) (sin.f64 B) (.f64 1/2 (/.f64 (.f64 (.f64 F F) (sin.f64 B)) (sqrt.f64 2)))) (.f64 -1/16 (/.f64 (*.f64 (sin.f64 B) (pow.f64 F 4)) (sqrt.f64 2))))
(+.f64 (.f64 1/16 (/.f64 (.f64 (sin.f64 B) (pow.f64 F 6)) (pow.f64 (sqrt.f64 2) 5))) (+.f64 (.f64 -1/8 (/.f64 (.f64 (sin.f64 B) (pow.f64 F 4)) (pow.f64 (sqrt.f64 2) 3))) (+.f64 (.f64 1/2 (/.f64 (.f64 (sin.f64 B) (pow.f64 F 2)) (sqrt.f64 2))) (*.f64 (sqrt.f64 2) (sin.f64 B)))))
(fma.f64 1/16 (/.f64 (.f64 (sin.f64 B) (pow.f64 F 6)) (pow.f64 (sqrt.f64 2) 5)) (fma.f64 -1/8 (/.f64 (.f64 (sin.f64 B) (pow.f64 F 4)) (pow.f64 (sqrt.f64 2) 3)) (fma.f64 1/2 (/.f64 (.f64 (.f64 F F) (sin.f64 B)) (sqrt.f64 2)) (*.f64 (sqrt.f64 2) (sin.f64 B)))))
(fma.f64 1/16 (.f64 (/.f64 (sin.f64 B) (pow.f64 (sqrt.f64 2) 5)) (pow.f64 F 6)) (+.f64 (fma.f64 (sqrt.f64 2) (sin.f64 B) (.f64 1/2 (/.f64 (.f64 (.f64 F F) (sin.f64 B)) (sqrt.f64 2)))) (.f64 -1/16 (/.f64 (.f64 (sin.f64 B) (pow.f64 F 4)) (sqrt.f64 2)))))
(*.f64 (sin.f64 B) F)
(*.f64 F (sin.f64 B))
(+.f64 (.f64 (sin.f64 B) F) (.f64 1/2 (/.f64 (*.f64 (pow.f64 (sqrt.f64 2) 2) (sin.f64 B)) F)))
(fma.f64 (sin.f64 B) F (*.f64 1/2 (/.f64 (pow.f64 (sqrt.f64 2) 2) (/.f64 F (sin.f64 B)))))
(fma.f64 F (sin.f64 B) (/.f64 1 (/.f64 F (sin.f64 B))))
(fma.f64 F (sin.f64 B) (/.f64 (sin.f64 B) F))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 (sqrt.f64 2) 4) (sin.f64 B)) (pow.f64 F 3))) (+.f64 (.f64 (sin.f64 B) F) (.f64 1/2 (/.f64 (*.f64 (pow.f64 (sqrt.f64 2) 2) (sin.f64 B)) F))))
(fma.f64 -1/8 (/.f64 (pow.f64 (sqrt.f64 2) 4) (/.f64 (pow.f64 F 3) (sin.f64 B))) (fma.f64 (sin.f64 B) F (*.f64 1/2 (/.f64 (pow.f64 (sqrt.f64 2) 2) (/.f64 F (sin.f64 B))))))
(+.f64 (fma.f64 F (sin.f64 B) (/.f64 1 (/.f64 F (sin.f64 B)))) (/.f64 -1/2 (/.f64 (pow.f64 F 3) (sin.f64 B))))
(+.f64 (fma.f64 F (sin.f64 B) (/.f64 (sin.f64 B) F)) (/.f64 -1/2 (/.f64 (pow.f64 F 3) (sin.f64 B))))
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(-.f64 (fma.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 F F) (pow.f64 (sqrt.f64 2) 2)))) (/.f64 F B) (fma.f64 (-.f64 (.f64 x 1/3) (.f64 -1/6 (.f64 F (sqrt.f64 (/.f64 1 (+.f64 (.f64 F F) (pow.f64 (sqrt.f64 2) 2))))))) B (fma.f64 (-.f64 (fma.f64 17/315 x (fma.f64 -2/45 x (.f64 (.f64 x 1/45) -1/3))) (fma.f64 1/720 (.f64 F (sqrt.f64 (/.f64 1 (+.f64 (.f64 F F) (pow.f64 (sqrt.f64 2) 2))))) (fma.f64 -1/5040 (.f64 F (sqrt.f64 (/.f64 1 (+.f64 (.f64 F F) (pow.f64 (sqrt.f64 2) 2))))) (.f64 1/6 (.f64 (.f64 F (sqrt.f64 (/.f64 1 (+.f64 (.f64 F F) (pow.f64 (sqrt.f64 2) 2))))) -7/360))))) (pow.f64 B 5) (.f64 (pow.f64 B 3) (-.f64 (.f64 x 1/45) (.f64 (.f64 F (sqrt.f64 (/.f64 1 (+.f64 (.f64 F F) (pow.f64 (sqrt.f64 2) 2))))) -7/360)))))) (/.f64 x B))
(+.f64 (fma.f64 B (fma.f64 x 1/3 (.f64 (.f64 1/6 F) (sqrt.f64 (/.f64 1 (fma.f64 F F 2))))) (fma.f64 (pow.f64 B 3) (fma.f64 x 1/45 (.f64 (.f64 F (sqrt.f64 (/.f64 1 (fma.f64 F F 2)))) 7/360)) (.f64 (pow.f64 B 5) (-.f64 (-.f64 (+.f64 (.f64 x -1/135) (.f64 x 1/105)) (.f64 (.f64 F (sqrt.f64 (/.f64 1 (fma.f64 F F 2)))) 1/840)) (.f64 (*.f64 F (sqrt.f64 (/.f64 1 (fma.f64 F F 2)))) -7/2160))))) (/.f64 (fma.f64 F (sqrt.f64 (/.f64 1 (fma.f64 F F 2))) (neg.f64 x)) B))
(+.f64 (fma.f64 B (fma.f64 x 1/3 (.f64 (.f64 1/6 F) (sqrt.f64 (/.f64 1 (fma.f64 F F 2))))) (fma.f64 (pow.f64 B 3) (fma.f64 x 1/45 (.f64 (.f64 F (sqrt.f64 (/.f64 1 (fma.f64 F F 2)))) 7/360)) (.f64 (pow.f64 B 5) (-.f64 (.f64 x 2/945) (.f64 (.f64 F (sqrt.f64 (/.f64 1 (fma.f64 F F 2)))) -31/15120))))) (/.f64 (fma.f64 F (sqrt.f64 (/.f64 1 (fma.f64 F F 2))) (neg.f64 x)) B))
(-.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)))) (/.f64 F (sin.f64 B))) (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 F F) (pow.f64 (sqrt.f64 2) 2)))) (/.f64 F (sin.f64 B))) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(-.f64 (.f64 (sqrt.f64 (/.f64 1 (fma.f64 F F 2))) (/.f64 F (sin.f64 B))) (.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)))) (/.f64 F (sin.f64 B))) (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 F F) (pow.f64 (sqrt.f64 2) 2)))) (/.f64 F (sin.f64 B))) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(-.f64 (.f64 (sqrt.f64 (/.f64 1 (fma.f64 F F 2))) (/.f64 F (sin.f64 B))) (.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)))) (/.f64 F (sin.f64 B))) (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 F F) (pow.f64 (sqrt.f64 2) 2)))) (/.f64 F (sin.f64 B))) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(-.f64 (.f64 (sqrt.f64 (/.f64 1 (fma.f64 F F 2))) (/.f64 F (sin.f64 B))) (.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)))) (/.f64 F (sin.f64 B))) (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 F F) (pow.f64 (sqrt.f64 2) 2)))) (/.f64 F (sin.f64 B))) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(-.f64 (.f64 (sqrt.f64 (/.f64 1 (fma.f64 F F 2))) (/.f64 F (sin.f64 B))) (.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)))) (/.f64 F (sin.f64 B))) (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 F F) (pow.f64 (sqrt.f64 2) 2)))) (/.f64 F (sin.f64 B))) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(-.f64 (.f64 (sqrt.f64 (/.f64 1 (fma.f64 F F 2))) (/.f64 F (sin.f64 B))) (.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)))) (/.f64 F (sin.f64 B))) (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 F F) (pow.f64 (sqrt.f64 2) 2)))) (/.f64 F (sin.f64 B))) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(-.f64 (.f64 (sqrt.f64 (/.f64 1 (fma.f64 F F 2))) (/.f64 F (sin.f64 B))) (.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)))) (/.f64 F (sin.f64 B))) (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 F F) (pow.f64 (sqrt.f64 2) 2)))) (/.f64 F (sin.f64 B))) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(-.f64 (.f64 (sqrt.f64 (/.f64 1 (fma.f64 F F 2))) (/.f64 F (sin.f64 B))) (.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)))) (/.f64 F (sin.f64 B))) (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 F F) (pow.f64 (sqrt.f64 2) 2)))) (/.f64 F (sin.f64 B))) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(-.f64 (.f64 (sqrt.f64 (/.f64 1 (fma.f64 F F 2))) (/.f64 F (sin.f64 B))) (.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)))) (/.f64 F (sin.f64 B)))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 F F) (pow.f64 (sqrt.f64 2) 2)))) (/.f64 F (sin.f64 B)))
(*.f64 (sqrt.f64 (/.f64 1 (fma.f64 F F 2))) (/.f64 F (sin.f64 B)))
(+.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)))) (/.f64 F (sin.f64 B))) (.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))))
(-.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 F F) (pow.f64 (sqrt.f64 2) 2)))) (/.f64 F (sin.f64 B))) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(-.f64 (.f64 (sqrt.f64 (/.f64 1 (fma.f64 F F 2))) (/.f64 F (sin.f64 B))) (.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(+.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)))) (/.f64 F (sin.f64 B))) (.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))))
(-.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 F F) (pow.f64 (sqrt.f64 2) 2)))) (/.f64 F (sin.f64 B))) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(-.f64 (.f64 (sqrt.f64 (/.f64 1 (fma.f64 F F 2))) (/.f64 F (sin.f64 B))) (.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(+.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)))) (/.f64 F (sin.f64 B))) (.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))))
(-.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 F F) (pow.f64 (sqrt.f64 2) 2)))) (/.f64 F (sin.f64 B))) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(-.f64 (.f64 (sqrt.f64 (/.f64 1 (fma.f64 F F 2))) (/.f64 F (sin.f64 B))) (.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B)))
(neg.f64 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(/.f64 (neg.f64 (cos.f64 B)) (/.f64 (sin.f64 B) x))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (neg.f64 x))
(+.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)))) (/.f64 F (sin.f64 B))) (.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))))
(-.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 F F) (pow.f64 (sqrt.f64 2) 2)))) (/.f64 F (sin.f64 B))) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(-.f64 (.f64 (sqrt.f64 (/.f64 1 (fma.f64 F F 2))) (/.f64 F (sin.f64 B))) (.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(+.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)))) (/.f64 F (sin.f64 B))) (.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))))
(-.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 F F) (pow.f64 (sqrt.f64 2) 2)))) (/.f64 F (sin.f64 B))) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(-.f64 (.f64 (sqrt.f64 (/.f64 1 (fma.f64 F F 2))) (/.f64 F (sin.f64 B))) (.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(+.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)))) (/.f64 F (sin.f64 B))) (.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))))
(-.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 F F) (pow.f64 (sqrt.f64 2) 2)))) (/.f64 F (sin.f64 B))) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(-.f64 (.f64 (sqrt.f64 (/.f64 1 (fma.f64 F F 2))) (/.f64 F (sin.f64 B))) (.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B)))
(neg.f64 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(/.f64 (neg.f64 (cos.f64 B)) (/.f64 (sin.f64 B) x))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (neg.f64 x))
(+.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)))) (/.f64 F (sin.f64 B))) (.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))))
(-.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 F F) (pow.f64 (sqrt.f64 2) 2)))) (/.f64 F (sin.f64 B))) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(-.f64 (.f64 (sqrt.f64 (/.f64 1 (fma.f64 F F 2))) (/.f64 F (sin.f64 B))) (.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(+.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)))) (/.f64 F (sin.f64 B))) (.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))))
(-.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 F F) (pow.f64 (sqrt.f64 2) 2)))) (/.f64 F (sin.f64 B))) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(-.f64 (.f64 (sqrt.f64 (/.f64 1 (fma.f64 F F 2))) (/.f64 F (sin.f64 B))) (.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(+.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)))) (/.f64 F (sin.f64 B))) (.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))))
(-.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 F F) (pow.f64 (sqrt.f64 2) 2)))) (/.f64 F (sin.f64 B))) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(-.f64 (.f64 (sqrt.f64 (/.f64 1 (fma.f64 F F 2))) (/.f64 F (sin.f64 B))) (.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))

eval106.0ms (1.1%)

Compiler: Compiled 6912 to 3825 computations (44.7% saved)

prune129.0ms (1.4%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	242	9	251
Fresh	9	1	10
Picked	1	0	1
Done	0	0	0
Total	252	10	262

Error

Counts

262 → 10

Alt Table

Click to see full alt table

Status	Error	Program
	11.6b	(-.f64 (/.f64 F (/.f64 (sin.f64 B) (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2))) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
	0.7b	(-.f64 (.f64 (pow.f64 (cbrt.f64 F) 2) (.f64 (cbrt.f64 F) (/.f64 (/.f64 1 (sin.f64 B)) (hypot.f64 F (sqrt.f64 2))))) (/.f64 x (tan.f64 B)))
	8.6b	(/.f64 (/.f64 (-.f64 (.f64 F (tan.f64 B)) (.f64 (sin.f64 B) (.f64 (hypot.f64 F (sqrt.f64 2)) x))) (.f64 (sin.f64 B) (hypot.f64 F (sqrt.f64 2)))) (tan.f64 B))
	5.7b	(-.f64 (pow.f64 (/.f64 (hypot.f64 F (sqrt.f64 2)) (/.f64 F (sin.f64 B))) -1) (/.f64 x (tan.f64 B)))
	0.3b	(-.f64 (/.f64 F (.f64 (sin.f64 B) (hypot.f64 F (sqrt.f64 2)))) (.f64 (/.f64 x (sin.f64 B)) (cos.f64 B)))
	0.3b	(-.f64 (/.f64 F (*.f64 (sin.f64 B) (hypot.f64 F (sqrt.f64 2)))) (pow.f64 (/.f64 (tan.f64 B) x) -1))
	0.3b	(-.f64 (/.f64 F (*.f64 (sin.f64 B) (hypot.f64 F (sqrt.f64 2)))) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
	29.7b	(-.f64 (/.f64 F (pow.f64 (sqrt.f64 (*.f64 (sin.f64 B) (hypot.f64 F (sqrt.f64 2)))) 2)) (/.f64 x (tan.f64 B)))
	2.9b	(-.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 F) 2) (hypot.f64 F (sqrt.f64 2))) (/.f64 (cbrt.f64 F) (sin.f64 B))) (/.f64 x (tan.f64 B)))
	11.8b	(/.f64 (-.f64 (.f64 (/.f64 F (sin.f64 B)) (tan.f64 B)) (.f64 (hypot.f64 F (sqrt.f64 2)) x)) (*.f64 (hypot.f64 F (sqrt.f64 2)) (tan.f64 B)))

Compiler

Compiled 224 to 154 computations (31.3% saved)

regimes105.0ms (1.1%)

Accuracy

Total -62.5b remaining (-24603.4%)

Threshold costs -62.5b (-24603.4%)

Counts

42 → 1

Calls

Call 1

Inputs
(-.f64 (.f64 (pow.f64 (cbrt.f64 F) 2) (.f64 (cbrt.f64 F) (/.f64 (/.f64 1 (sin.f64 B)) (hypot.f64 F (sqrt.f64 2))))) (/.f64 x (tan.f64 B)))
(/.f64 (/.f64 (-.f64 (.f64 F (tan.f64 B)) (.f64 (sin.f64 B) (.f64 (hypot.f64 F (sqrt.f64 2)) x))) (.f64 (sin.f64 B) (hypot.f64 F (sqrt.f64 2)))) (tan.f64 B))
(-.f64 (pow.f64 (/.f64 (hypot.f64 F (sqrt.f64 2)) (/.f64 F (sin.f64 B))) -1) (/.f64 x (tan.f64 B)))
(-.f64 (/.f64 F (.f64 (sin.f64 B) (hypot.f64 F (sqrt.f64 2)))) (.f64 (/.f64 x (sin.f64 B)) (cos.f64 B)))
(-.f64 (/.f64 F (*.f64 (sin.f64 B) (hypot.f64 F (sqrt.f64 2)))) (pow.f64 (/.f64 (tan.f64 B) x) -1))
(-.f64 (/.f64 F (*.f64 (sin.f64 B) (hypot.f64 F (sqrt.f64 2)))) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(-.f64 (/.f64 F (pow.f64 (sqrt.f64 (*.f64 (sin.f64 B) (hypot.f64 F (sqrt.f64 2)))) 2)) (/.f64 x (tan.f64 B)))
(-.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 F) 2) (hypot.f64 F (sqrt.f64 2))) (/.f64 (cbrt.f64 F) (sin.f64 B))) (/.f64 x (tan.f64 B)))
(/.f64 (-.f64 (.f64 (/.f64 F (sin.f64 B)) (tan.f64 B)) (.f64 (hypot.f64 F (sqrt.f64 2)) x)) (*.f64 (hypot.f64 F (sqrt.f64 2)) (tan.f64 B)))
(-.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 F) 2) (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2)))) (/.f64 (cbrt.f64 F) (sin.f64 B))) (/.f64 x (tan.f64 B)))
(/.f64 (/.f64 (-.f64 (.f64 F (tan.f64 B)) (.f64 (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2))) (.f64 (sin.f64 B) x))) (.f64 (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2))) (sin.f64 B))) (tan.f64 B))
(-.f64 (pow.f64 (/.f64 (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2))) (/.f64 F (sin.f64 B))) -1) (/.f64 x (tan.f64 B)))
(+.f64 (-.f64 (/.f64 (/.f64 F (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2)))) (sin.f64 B)) (/.f64 x (tan.f64 B))) (fma.f64 (neg.f64 (/.f64 1 (tan.f64 B))) x (/.f64 x (tan.f64 B))))
(-.f64 (/.f64 F (*.f64 (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2))) (sin.f64 B))) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(.f64 (-.f64 (.f64 F (tan.f64 B)) (.f64 (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2))) (.f64 (sin.f64 B) x))) (/.f64 1 (.f64 (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2))) (.f64 (sin.f64 B) (tan.f64 B)))))
(-.f64 (.f64 (/.f64 (pow.f64 (cbrt.f64 F) 2) 1) (/.f64 (cbrt.f64 F) (.f64 (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2))) (sin.f64 B)))) (/.f64 x (tan.f64 B)))
(-.f64 (*.f64 F (/.f64 (/.f64 1 (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2)))) (sin.f64 B))) (/.f64 x (tan.f64 B)))
(-.f64 (/.f64 F (*.f64 (sin.f64 B) (hypot.f64 F (sqrt.f64 2)))) (/.f64 x (tan.f64 B)))
(-.f64 (/.f64 F (*.f64 (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2))) (sin.f64 B))) (/.f64 x (tan.f64 B)))
(-.f64 (/.f64 -1 (sin.f64 B)) (/.f64 x (tan.f64 B)))
(-.f64 (/.f64 F (/.f64 (sin.f64 B) (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2))) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (/.f64 F (/.f64 (sin.f64 B) (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2))) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(-.f64 (*.f64 (sqrt.f64 (/.f64 1 (fma.f64 F F 2))) (/.f64 F (sin.f64 B))) (/.f64 x (tan.f64 B)))
(-.f64 (/.f64 F (/.f64 (sin.f64 B) (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2))) (*.f64 (/.f64 1 (tan.f64 B)) x))
(-.f64 (/.f64 F (+.f64 (.f64 1/120 (.f64 (pow.f64 B 5) (sqrt.f64 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x)))))) (+.f64 (.f64 -1/6 (.f64 (pow.f64 B 3) (sqrt.f64 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x)))))) (.f64 (sqrt.f64 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x)))) B)))) (/.f64 x (tan.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))
(-.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)))
(-.f64 (*.f64 F (/.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2) (sin.f64 B))) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(-.f64 (*.f64 F (/.f64 (/.f64 1 F) (sin.f64 B))) (/.f64 x (tan.f64 B)))
(-.f64 (.f64 F (/.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2) (sin.f64 B))) (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))
(-.f64 (.f64 F (.f64 (/.f64 1 (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) 2))))) (/.f64 x (tan.f64 B)))
(-.f64 (cbrt.f64 (*.f64 (pow.f64 (/.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2) (sin.f64 B)) 3) (pow.f64 F 3))) (/.f64 x (tan.f64 B)))
(-.f64 (.f64 F (/.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2) (sin.f64 B))) (.f64 (/.f64 1 (tan.f64 B)) x))
(-.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)))
(-.f64 (/.f64 -1 (sin.f64 B)) (/.f64 x (tan.f64 B)))
(-.f64 (.f64 F (.f64 (/.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/4) 1) (/.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/4) (sin.f64 B)))) (/.f64 x (tan.f64 B)))
(-.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))))
(-.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)))
(-.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))
(-.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)))
(+.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)))))

Outputs
(-.f64 (/.f64 F (*.f64 (sin.f64 B) (hypot.f64 F (sqrt.f64 2)))) (/.f64 x (tan.f64 B)))

Results

Time	Error	Segments	Branch
22.0ms	0.3b	1	`F`
20.0ms	0.3b	1	`B`
19.0ms	0.3b	1	`x`
20.0ms	0.3b	1	`(+.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 929 to 489 computations (47.4% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	22
1	16	22
2	23	22
3	27	22
4	30	22
5	31	22

Stop Event

1×

saturated

Calls

Call 1

Inputs
(-.f64 (/.f64 F (*.f64 (sin.f64 B) (hypot.f64 F (sqrt.f64 2)))) (/.f64 x (tan.f64 B)))

Outputs
(-.f64 (/.f64 F (*.f64 (sin.f64 B) (hypot.f64 F (sqrt.f64 2)))) (/.f64 x (tan.f64 B)))

end19.0ms (0.2%)

Stop Event

1×

fuel

Compiler

Compiled 34 to 24 computations (29.4% saved)

Details

analyze2.5s (26.7%)

sample4.7s (50.4%)

preprocess46.0ms (0.5%)

simplify32.0ms (0.3%)

eval1.0ms (0%)

prune3.0ms (0%)

localize21.0ms (0.2%)

series51.0ms (0.5%)

rewrite64.0ms (0.7%)

simplify95.0ms (1%)

eval170.0ms (1.8%)

prune120.0ms (1.3%)

localize17.0ms (0.2%)

series13.0ms (0.1%)

rewrite56.0ms (0.6%)

simplify58.0ms (0.6%)

eval183.0ms (2%)

prune145.0ms (1.5%)

localize14.0ms (0.2%)

series43.0ms (0.5%)

rewrite74.0ms (0.8%)

simplify91.0ms (1%)

eval167.0ms (1.8%)

prune153.0ms (1.6%)

localize11.0ms (0.1%)

series19.0ms (0.2%)

rewrite69.0ms (0.7%)

simplify69.0ms (0.7%)

eval106.0ms (1.1%)

prune129.0ms (1.4%)

regimes105.0ms (1.1%)

simplify2.0ms (0%)

end19.0ms (0.2%)

Profiling