Details

analyze2.4s (23.4%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
0%	99.9%	0.1%	7
0%	93.6%	6.4%	8
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)

sample4.4s (43.1%)

Results

2.1s	2235×	body	1024	valid
1.0s	4268×	body	128	valid
782.0ms	1151×	body	512	valid
269.0ms	599×	body	256	valid
197.0ms	816×	body	128	invalid
4.0ms	3×	body	2048	valid
0.0ms	1×	body	256	invalid

preprocess31.0ms (0.3%)

Algorithm

2×	egg-herbie

Rules

240×	`rule-*a/cb-/a/bc_binary64`
238×	`rule-a-bc-nega-cb_binary64`
225×	`rule-ab-ba_binary64`
218×	`rule-/ab-*+aa/1/2b_binary64`
200×	`rule-a-*a1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	128
1	353	112
2	1216	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 (neg.f64 (/.f64 x (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 (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 x (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)))
(+.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 F (tan.f64 B))) (.f64 (/.f64 x (sin.f64 B)) (pow.f64 (+.f64 (fma.f64 x x 2) (.f64 F 2)) -1/2)))
(-.f64 (*.f64 (/.f64 x (sin.f64 B)) (pow.f64 (fma.f64 F 2 (fma.f64 x x 2)) -1/2)) (/.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 (tan.f64 x))) (.f64 (/.f64 F (sin.f64 x)) (pow.f64 (+.f64 (fma.f64 F F 2) (.f64 B 2)) -1/2)))
(-.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)

simplify24.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

315×	`rule-/ab-*+aa/1/2b_binary64`
302×	`rule-a-*a1_binary64`
302×	`rule-a--a0_binary64`
302×	`rule-a-+a0_binary64`
301×	`rule-a-/a1_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	23	32
1	134	28
2	419	28
3	1948	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 (neg.f64 (/.f64 x (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)))

prune5.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

16.0b

Counts

3 → 2

Alt Table

Status	Error	Program
	16.1b	(+.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)))))
▶	16.0b	(-.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)))

Status

Error

Program

16.1b

(+.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)))))

▶

16.0b

(-.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)))

Compiler

Compiled 153 to 108 computations (29.4% saved)

localize16.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 F (sin.f64 B))
✓	0.2b	(/.f64 x (tan.f64 B))
✓	8.8b	(*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2))
✓	18.7b	(pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)

series42.0ms (0.4%)

Counts

4 → 80

Calls

27 calls:

Time	Variable		Point	Expression
4.0ms	x	@	0	(/.f64 x (tan.f64 B))
3.0ms	B	@	0	(*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2))
3.0ms	F	@	0	(*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2))
2.0ms	x	@	inf	(*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2))
2.0ms	F	@	0	(pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)

rewrite65.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

282×	`rule-nega-*a-1_binary64`
161×	`add-sqr-sqrt_binary64`
154×	`pow1_binary64`
154×	`rules-30_binary64`
154×	`rules-31_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	44
1	362	44
2	4765	44

Stop Event

1×	node limit

Counts

4 → 141

Calls

Call 1

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

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

simplify84.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

562×	`rule-a-*a1_binary64`
562×	`rule-a--a0_binary64`
562×	`rule-a-+a0_binary64`
562×	`rule-a-/a1_binary64`
498×	`rule-+ab-+ba_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	366	3473
1	2713	3451

Stop Event

1×	node limit

Counts

221 → 242

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 (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)))))))
(/.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))
(/.f64 F B)
(+.f64 (.f64 1/6 (.f64 F B)) (/.f64 F B))
(+.f64 (.f64 -1 (.f64 (pow.f64 B 3) (+.f64 (.f64 1/120 F) (.f64 -1/36 F)))) (+.f64 (.f64 1/6 (.f64 F B)) (/.f64 F B)))
(+.f64 (.f64 -1 (.f64 (pow.f64 B 3) (+.f64 (.f64 1/120 F) (.f64 -1/36 F)))) (+.f64 (.f64 1/6 (.f64 F B)) (+.f64 (/.f64 F B) (.f64 -1 (.f64 (pow.f64 B 5) (+.f64 (.f64 1/6 (+.f64 (.f64 1/120 F) (.f64 -1/36 F))) (+.f64 (.f64 1/720 F) (*.f64 -1/5040 F))))))))

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

prune396.0ms (3.9%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	229	13	242
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	230	14	244

Error

0.0b

Counts

244 → 14

Alt Table

Status	Error	Program
	39.3b	(-.f64 (/.f64 (pow.f64 (.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2) (/.f64 F (sin.f64 B))) 3) (pow.f64 (.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2) (/.f64 F (sin.f64 B))) 2)) (/.f64 x (tan.f64 B)))
	16.1b	(+.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)))))
	16.0b	(-.f64 (.f64 (/.f64 F (sin.f64 B)) (.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))) (/.f64 x (tan.f64 B)))
	16.0b	(-.f64 (*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) 2)))) (/.f64 x (tan.f64 B)))
	16.4b	(-.f64 (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)) (pow.f64 (cbrt.f64 (/.f64 x (tan.f64 B))) 3))
	16.1b	(-.f64 (.f64 (/.f64 F (sin.f64 B)) (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)) (.f64 x (/.f64 (cos.f64 B) (sin.f64 B))))
	34.1b	(-.f64 (.f64 (/.f64 F (sin.f64 B)) (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)) (.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (tan.f64 B))))
	16.0b	(-.f64 (.f64 (/.f64 F (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)))
	31.4b	(-.f64 (/.f64 -1 (sin.f64 B)) (/.f64 x (tan.f64 B)))
	29.2b	(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))
	37.0b	(-.f64 (*.f64 (/.f64 F (sin.f64 B)) (/.f64 -1 F)) (/.f64 x (tan.f64 B)))
	35.2b	(-.f64 (*.f64 (/.f64 F (sin.f64 B)) (/.f64 1 F)) (/.f64 x (tan.f64 B)))
	16.3b	(-.f64 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2) (/.f64 F (sin.f64 B)))) 3) (/.f64 x (tan.f64 B)))
▶	10.6b	(-.f64 (/.f64 (*.f64 F (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)) (sin.f64 B)) (/.f64 x (tan.f64 B)))

Compiler

Compiled 9249 to 5635 computations (39.1% saved)

localize16.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(/.f64 x (tan.f64 B))
✓	0.3b	(*.f64 F (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2))
✓	0.6b	(/.f64 (*.f64 F (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)) (sin.f64 B))
	18.7b	(pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)

series10.0ms (0.1%)

Counts

2 → 44

Calls

15 calls:

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

rewrite54.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

293×	`rule-aa-fabsaa_binary64`
237×	`rule-nega--0a_binary64`
237×	`rule-nega-/a-1_binary64`
237×	`rule-nega-*a-1_binary64`
137×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	35
1	311	35
2	4033	35

Stop Event

1×	node limit

Counts

2 → 74

Calls

Call 1

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

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

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

simplify47.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

363×	`rule-a-*a1_binary64`
363×	`rule-a--a0_binary64`
363×	`rule-a-+a0_binary64`
363×	`rule-a-/a1_binary64`
361×	`rule-ab-ba_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	235	2703
1	1810	2649

Stop Event

1×	node limit

Counts

118 → 144

Calls

Call 1

Inputs
(.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 (sqrt.f64 (/.f64 1 (+.f64 2 (.f64 2 x)))) F)
(+.f64 (.f64 -1/2 (.f64 (/.f64 (pow.f64 F 3) (+.f64 2 (.f64 2 x))) (sqrt.f64 (/.f64 1 (+.f64 (.f64 2 x) 2))))) (.f64 (sqrt.f64 (/.f64 1 (+.f64 2 (.f64 2 x)))) F))
(+.f64 (.f64 -1/2 (.f64 (/.f64 (pow.f64 F 3) (+.f64 2 (.f64 2 x))) (sqrt.f64 (/.f64 1 (+.f64 (.f64 2 x) 2))))) (+.f64 (.f64 1/2 (.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)) (sqrt.f64 (+.f64 (.f64 2 x) 2)))) (.f64 (sqrt.f64 (/.f64 1 (+.f64 2 (*.f64 2 x)))) F)))
(+.f64 (.f64 -1/2 (.f64 (/.f64 (pow.f64 F 3) (+.f64 2 (.f64 2 x))) (sqrt.f64 (/.f64 1 (+.f64 (.f64 2 x) 2))))) (+.f64 (.f64 -1/2 (.f64 (sqrt.f64 (+.f64 (.f64 2 x) 2)) (.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))))))) (+.f64 (.f64 1/2 (.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)) (sqrt.f64 (+.f64 (.f64 2 x) 2)))) (.f64 (sqrt.f64 (/.f64 1 (+.f64 2 (*.f64 2 x)))) F))))
1
(+.f64 1 (.f64 -1/2 (/.f64 (+.f64 2 (.f64 2 x)) (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)) (pow.f64 F 4))) (+.f64 1 (.f64 -1/2 (/.f64 (+.f64 2 (*.f64 2 x)) (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)) (pow.f64 F 4))) (+.f64 1 (+.f64 (.f64 -1/2 (/.f64 (+.f64 2 (.f64 2 x)) (pow.f64 F 2))) (.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))))) (pow.f64 F 6))))))
-1
(-.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 2 x) 2) (pow.f64 F 2))) 1)
(-.f64 (+.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 2 x) 2) (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)) (pow.f64 F 4)))) 1)
(-.f64 (+.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 2 x) 2) (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))) (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)) (pow.f64 F 4))))) 1)
(*.f64 F (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) 2))))
(+.f64 (.f64 -1 (.f64 (.f64 F x) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) 2) 3))))) (.f64 F (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) 2)))))
(+.f64 (.f64 -1 (.f64 (.f64 F x) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) 2) 3))))) (+.f64 (.f64 1/2 (.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))) (sqrt.f64 (+.f64 (pow.f64 F 2) 2)))) (.f64 F (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) 2))))))
(+.f64 (.f64 -1 (.f64 (.f64 F x) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) 2) 3))))) (+.f64 (.f64 1/2 (.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))) (sqrt.f64 (+.f64 (pow.f64 F 2) 2)))) (+.f64 (.f64 -1/2 (.f64 (.f64 F (.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)))))) (sqrt.f64 (+.f64 (pow.f64 F 2) 2)))) (.f64 F (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) 2)))))))

Outputs
(.f64 (sqrt.f64 (/.f64 1 (+.f64 2 (.f64 2 x)))) (/.f64 F (sin.f64 B)))
(*.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 x 2))) (/.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))))
(fma.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 x 2))) (/.f64 (pow.f64 F 3) (.f64 (fma.f64 2 x 2) (sin.f64 B)))) (*.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 x 2))) (/.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)))))
(fma.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 x 2))) (/.f64 (pow.f64 F 3) (.f64 (fma.f64 2 x 2) (sin.f64 B)))) (fma.f64 1/2 (.f64 (.f64 (pow.f64 F 5) (/.f64 (-.f64 (/.f64 1 (.f64 (fma.f64 2 x 2) (pow.f64 (fma.f64 2 x 2) 2))) (pow.f64 (.f64 -1/2 (/.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 x 2))) (fma.f64 2 x 2))) 2)) (sin.f64 B))) (sqrt.f64 (fma.f64 2 x 2))) (*.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 x 2))) (/.f64 F (sin.f64 B)))))
(fma.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 x 2))) (/.f64 (pow.f64 F 3) (.f64 (fma.f64 2 x 2) (sin.f64 B)))) (fma.f64 1/2 (.f64 (.f64 (-.f64 (/.f64 1 (.f64 (fma.f64 2 x 2) (pow.f64 (fma.f64 2 x 2) 2))) (pow.f64 (.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 x 2))) (/.f64 -1/2 (fma.f64 2 x 2))) 2)) (/.f64 (pow.f64 F 5) (sin.f64 B))) (sqrt.f64 (fma.f64 2 x 2))) (*.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 x 2))) (/.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))))))
(fma.f64 -1/2 (.f64 (sqrt.f64 (fma.f64 2 x 2)) (.f64 (fma.f64 -1/2 (/.f64 (-.f64 (/.f64 1 (.f64 (fma.f64 2 x 2) (pow.f64 (fma.f64 2 x 2) 2))) (pow.f64 (.f64 -1/2 (/.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 x 2))) (fma.f64 2 x 2))) 2)) (fma.f64 2 x 2)) (/.f64 1 (.f64 (pow.f64 (fma.f64 2 x 2) 2) (pow.f64 (fma.f64 2 x 2) 2)))) (/.f64 (pow.f64 F 7) (sin.f64 B)))) (fma.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 x 2))) (/.f64 (pow.f64 F 3) (.f64 (fma.f64 2 x 2) (sin.f64 B)))) (fma.f64 1/2 (.f64 (.f64 (pow.f64 F 5) (/.f64 (-.f64 (/.f64 1 (.f64 (fma.f64 2 x 2) (pow.f64 (fma.f64 2 x 2) 2))) (pow.f64 (.f64 -1/2 (/.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 x 2))) (fma.f64 2 x 2))) 2)) (sin.f64 B))) (sqrt.f64 (fma.f64 2 x 2))) (.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 x 2))) (/.f64 F (sin.f64 B))))))
(fma.f64 -1/2 (.f64 (sqrt.f64 (fma.f64 2 x 2)) (.f64 (pow.f64 F 7) (/.f64 (fma.f64 -1/2 (/.f64 (-.f64 (/.f64 1 (.f64 (fma.f64 2 x 2) (pow.f64 (fma.f64 2 x 2) 2))) (pow.f64 (.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 x 2))) (/.f64 -1/2 (fma.f64 2 x 2))) 2)) (fma.f64 2 x 2)) (/.f64 1 (.f64 (pow.f64 (fma.f64 2 x 2) 2) (pow.f64 (fma.f64 2 x 2) 2)))) (sin.f64 B)))) (fma.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 x 2))) (/.f64 (pow.f64 F 3) (.f64 (fma.f64 2 x 2) (sin.f64 B)))) (fma.f64 1/2 (.f64 (.f64 (-.f64 (/.f64 1 (.f64 (fma.f64 2 x 2) (pow.f64 (fma.f64 2 x 2) 2))) (pow.f64 (.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 x 2))) (/.f64 -1/2 (fma.f64 2 x 2))) 2)) (/.f64 (pow.f64 F 5) (sin.f64 B))) (sqrt.f64 (fma.f64 2 x 2))) (.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 x 2))) (/.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)))
(fma.f64 -1/2 (/.f64 (fma.f64 2 x 2) (.f64 (sin.f64 B) (.f64 F F))) (/.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))))
(fma.f64 -1/2 (/.f64 (fma.f64 2 x 2) (.f64 (sin.f64 B) (.f64 F F))) (fma.f64 -1/2 (/.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))))
(+.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)))))
(fma.f64 -1/2 (/.f64 (fma.f64 (fma.f64 2 x 2) (pow.f64 (fma.f64 2 x 2) 2) (.f64 (fma.f64 2 x 2) (.f64 1/2 (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 6))) (fma.f64 -1/2 (/.f64 (fma.f64 2 x 2) (.f64 (sin.f64 B) (.f64 F F))) (fma.f64 -1/2 (/.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 (.f64 (fma.f64 2 x 2) (+.f64 (pow.f64 (fma.f64 2 x 2) 2) (.f64 1/2 (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 6))) (fma.f64 -1/2 (/.f64 (fma.f64 2 x 2) (.f64 (sin.f64 B) (.f64 F F))) (fma.f64 -1/2 (/.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)))))
(/.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 1/2 (/.f64 (fma.f64 2 x 2) (.f64 (sin.f64 B) (*.f64 F F)))) (/.f64 1 (sin.f64 B)))
(-.f64 (/.f64 1/2 (.f64 (sin.f64 B) (/.f64 (.f64 F F) (fma.f64 2 x 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 (fma.f64 1/2 (/.f64 (fma.f64 2 x 2) (.f64 (sin.f64 B) (.f64 F F))) (.f64 1/2 (/.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)))
(-.f64 (.f64 1/2 (+.f64 (/.f64 (fma.f64 2 x 2) (.f64 (sin.f64 B) (.f64 F F))) (/.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)))
(-.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 (sin.f64 B) (.f64 F F))) (fma.f64 1/2 (/.f64 (fma.f64 (fma.f64 2 x 2) (pow.f64 (fma.f64 2 x 2) 2) (.f64 (fma.f64 2 x 2) (.f64 1/2 (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 6))) (.f64 1/2 (/.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)))
(-.f64 (fma.f64 1/2 (/.f64 (fma.f64 2 x 2) (.f64 (sin.f64 B) (.f64 F F))) (.f64 1/2 (+.f64 (/.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 (.f64 (fma.f64 2 x 2) (+.f64 (pow.f64 (fma.f64 2 x 2) 2) (.f64 1/2 (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 6)))))) (/.f64 1 (sin.f64 B)))
(*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) 2))))
(.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 2 (.f64 F F)))))
(+.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)))) (.f64 -1 (.f64 (.f64 x (/.f64 F (sin.f64 B))) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 2 (*.f64 F F)) 3))))))
(fma.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 2 (.f64 F F)))) (.f64 (.f64 x (/.f64 F (sin.f64 B))) (neg.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 2 (.f64 F F)) 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)))))))
(fma.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 2 (.f64 F F)))) (fma.f64 1/2 (.f64 (.f64 (.f64 (-.f64 (/.f64 4 (pow.f64 (+.f64 2 (.f64 F F)) 3)) (pow.f64 (.f64 -1 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 2 (.f64 F F)) 3)))) 2)) (.f64 x x)) (/.f64 F (sin.f64 B))) (sqrt.f64 (+.f64 2 (.f64 F F)))) (.f64 -1 (.f64 (.f64 x (/.f64 F (sin.f64 B))) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 2 (*.f64 F F)) 3)))))))
(fma.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 2 (.f64 F F)))) (fma.f64 1/2 (.f64 (.f64 (/.f64 F (sin.f64 B)) (.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 x x))) (sqrt.f64 (+.f64 2 (.f64 F F)))) (.f64 (.f64 x (/.f64 F (sin.f64 B))) (neg.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 2 (*.f64 F F)) 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)))))))
(fma.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 2 (.f64 F F)))) (fma.f64 1/2 (.f64 (.f64 (.f64 (-.f64 (/.f64 4 (pow.f64 (+.f64 2 (.f64 F F)) 3)) (pow.f64 (.f64 -1 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 2 (.f64 F F)) 3)))) 2)) (.f64 x x)) (/.f64 F (sin.f64 B))) (sqrt.f64 (+.f64 2 (.f64 F F)))) (fma.f64 -1 (.f64 (.f64 x (/.f64 F (sin.f64 B))) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 2 (.f64 F F)) 3)))) (.f64 -1/2 (.f64 (sqrt.f64 (+.f64 2 (.f64 F F))) (.f64 (.f64 (+.f64 (/.f64 8 (pow.f64 (+.f64 2 (.f64 F F)) 4)) (.f64 -1 (/.f64 (-.f64 (/.f64 4 (pow.f64 (+.f64 2 (.f64 F F)) 3)) (pow.f64 (.f64 -1 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 2 (.f64 F F)) 3)))) 2)) (+.f64 2 (*.f64 F F))))) (pow.f64 x 3)) (/.f64 F (sin.f64 B))))))))
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(*.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 x 2))) F)
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1
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-1
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(fma.f64 1/2 (/.f64 (fma.f64 2 x 2) (*.f64 F F)) -1)
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(*.f64 F (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) 2))))
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(+.f64 (.f64 -1 (.f64 (.f64 F x) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) 2) 3))))) (.f64 F (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) 2)))))
(fma.f64 -1 (.f64 (.f64 x F) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 2 (.f64 F F)) 3)))) (.f64 F (sqrt.f64 (/.f64 1 (+.f64 2 (*.f64 F F))))))
(+.f64 (.f64 -1 (.f64 (.f64 F x) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) 2) 3))))) (+.f64 (.f64 1/2 (.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))) (sqrt.f64 (+.f64 (pow.f64 F 2) 2)))) (.f64 F (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) 2))))))
(fma.f64 -1 (.f64 (.f64 x F) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 2 (.f64 F F)) 3)))) (fma.f64 1/2 (.f64 (.f64 F (.f64 (-.f64 (/.f64 4 (pow.f64 (+.f64 2 (.f64 F F)) 3)) (pow.f64 (.f64 -1 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 2 (.f64 F F)) 3)))) 2)) (.f64 x x))) (sqrt.f64 (+.f64 2 (.f64 F F)))) (.f64 F (sqrt.f64 (/.f64 1 (+.f64 2 (*.f64 F F)))))))
(fma.f64 -1 (.f64 (.f64 x F) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 2 (.f64 F F)) 3)))) (fma.f64 1/2 (.f64 (.f64 F (.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 x x))) (sqrt.f64 (+.f64 2 (.f64 F F)))) (.f64 F (sqrt.f64 (/.f64 1 (+.f64 2 (.f64 F F)))))))
(+.f64 (.f64 -1 (.f64 (.f64 F x) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) 2) 3))))) (+.f64 (.f64 1/2 (.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))) (sqrt.f64 (+.f64 (pow.f64 F 2) 2)))) (+.f64 (.f64 -1/2 (.f64 (.f64 F (.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)))))) (sqrt.f64 (+.f64 (pow.f64 F 2) 2)))) (.f64 F (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) 2)))))))
(fma.f64 -1 (.f64 (.f64 x F) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 2 (.f64 F F)) 3)))) (fma.f64 1/2 (.f64 (.f64 F (.f64 (-.f64 (/.f64 4 (pow.f64 (+.f64 2 (.f64 F F)) 3)) (pow.f64 (.f64 -1 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 2 (.f64 F F)) 3)))) 2)) (.f64 x x))) (sqrt.f64 (+.f64 2 (.f64 F F)))) (fma.f64 -1/2 (.f64 (sqrt.f64 (+.f64 2 (.f64 F F))) (.f64 F (.f64 (+.f64 (/.f64 8 (pow.f64 (+.f64 2 (.f64 F F)) 4)) (.f64 -1 (/.f64 (-.f64 (/.f64 4 (pow.f64 (+.f64 2 (.f64 F F)) 3)) (pow.f64 (.f64 -1 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 2 (.f64 F F)) 3)))) 2)) (+.f64 2 (.f64 F F))))) (pow.f64 x 3)))) (.f64 F (sqrt.f64 (/.f64 1 (+.f64 2 (*.f64 F F))))))))
(fma.f64 -1 (.f64 (.f64 x F) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 2 (.f64 F F)) 3)))) (fma.f64 1/2 (.f64 (.f64 F (.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 x x))) (sqrt.f64 (+.f64 2 (.f64 F F)))) (fma.f64 -1/2 (.f64 (sqrt.f64 (+.f64 2 (.f64 F F))) (.f64 F (.f64 (+.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))))) (pow.f64 x 3)))) (.f64 F (sqrt.f64 (/.f64 1 (+.f64 2 (.f64 F F))))))))

prune468.0ms (4.6%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	267	1	268
Fresh	2	11	13
Picked	1	0	1
Done	0	0	0
Total	270	12	282

Error

0.0b

Counts

282 → 12

Alt Table

Status	Error	Program
	39.3b	(-.f64 (/.f64 (pow.f64 (.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2) (/.f64 F (sin.f64 B))) 3) (pow.f64 (.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2) (/.f64 F (sin.f64 B))) 2)) (/.f64 x (tan.f64 B)))
	16.1b	(+.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)))))
	16.0b	(-.f64 (.f64 (/.f64 F (sin.f64 B)) (.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))) (/.f64 x (tan.f64 B)))
▶	10.6b	(-.f64 (/.f64 (*.f64 F (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) 2)))) (sin.f64 B)) (/.f64 x (tan.f64 B)))
	16.4b	(-.f64 (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)) (pow.f64 (cbrt.f64 (/.f64 x (tan.f64 B))) 3))
	16.1b	(-.f64 (.f64 (/.f64 F (sin.f64 B)) (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)) (.f64 x (/.f64 (cos.f64 B) (sin.f64 B))))
	34.1b	(-.f64 (.f64 (/.f64 F (sin.f64 B)) (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)) (.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (tan.f64 B))))
	16.0b	(-.f64 (.f64 (/.f64 F (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)))
	31.4b	(-.f64 (/.f64 -1 (sin.f64 B)) (/.f64 x (tan.f64 B)))
	29.2b	(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))
	37.0b	(-.f64 (*.f64 (/.f64 F (sin.f64 B)) (/.f64 -1 F)) (/.f64 x (tan.f64 B)))
	35.2b	(-.f64 (*.f64 (/.f64 F (sin.f64 B)) (/.f64 1 F)) (/.f64 x (tan.f64 B)))

Compiler

Compiled 10785 to 6972 computations (35.4% saved)

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 (*.f64 F (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) 2)))) (sin.f64 B))
✓	0.3b	(*.f64 F (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) 2))))
✓	0.4b	(/.f64 1 (+.f64 (pow.f64 F 2) 2))
✓	18.1b	(sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) 2)))

series11.0ms (0.1%)

Counts

4 → 60

Calls

15 calls:

Time	Variable		Point	Expression
2.0ms	F	@	0	(*.f64 F (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) 2))))
1.0ms	F	@	0	(sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) 2)))
1.0ms	B	@	inf	(/.f64 (*.f64 F (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) 2)))) (sin.f64 B))
1.0ms	B	@	0	(/.f64 (*.f64 F (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) 2)))) (sin.f64 B))
1.0ms	F	@	0	(/.f64 (*.f64 F (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) 2)))) (sin.f64 B))

rewrite67.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

292×	`rule-/ab-*+aa/1/2b_binary64`
281×	`rule-aa-fabsaa_binary64`
223×	`rule-nega-/a-1_binary64`
222×	`rule-nega-*a-1_binary64`
221×	`rule-nega--0a_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	57
1	312	41
2	4042	41

Stop Event

1×	node limit

Counts

4 → 176

Calls

Call 1

Inputs
(sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) 2)))
(/.f64 1 (+.f64 (pow.f64 F 2) 2))
(*.f64 F (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) 2))))
(/.f64 (*.f64 F (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) 2)))) (sin.f64 B))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (fma.f64 F F 2) -1/2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (fma.f64 F F 2) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (log1p.f64 (pow.f64 (fma.f64 F F 2) -1/2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (pow.f64 (fma.f64 F F 2) -1/2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (pow.f64 (fma.f64 F F 2) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (fma.f64 F F 2) -1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (pow.f64 (fma.f64 F F 2) -1/2) (pow.f64 (fma.f64 F F 2) -1/2)) (pow.f64 (fma.f64 F F 2) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (pow.f64 (fma.f64 F F 2) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (/.f64 1/2 (sqrt.f64 (fma.f64 F F 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (fma.f64 F F 2) -1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (fma.f64 F F 2) -1/2) (pow.f64 1 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (pow.f64 (fma.f64 F F 2) -1/2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (fma.f64 F F 2) -1/2)) (cbrt.f64 (/.f64 1 (fma.f64 F F 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 1 (fma.f64 F F 2))) (cbrt.f64 (pow.f64 (fma.f64 F F 2) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (pow.f64 (fma.f64 F F 2) -1/2)) (sqrt.f64 (pow.f64 (fma.f64 F F 2) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 2) (sqrt.f64 (/.f64 1/2 (fma.f64 F F 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 2) (pow.f64 (/.f64 1/2 (fma.f64 F F 2)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 F F 2) -2))) (sqrt.f64 (cbrt.f64 (/.f64 1 (fma.f64 F F 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (pow.f64 (fma.f64 F F 2) -1/2) (pow.f64 (fma.f64 F F 2) -1/2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 F F 2) -2)) 1/2) (pow.f64 (cbrt.f64 (/.f64 1 (fma.f64 F F 2))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (neg.f64 (pow.f64 (fma.f64 F F 2) -1/2)) (neg.f64 (pow.f64 (fma.f64 F F 2) -1/2))) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (/.f64 1 (fma.f64 F F 2)) 3/2) (pow.f64 (/.f64 1 (fma.f64 F F 2)) 3/2)) (/.f64 1/2 (/.f64 1 (fma.f64 F F 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (sqrt.f64 (fma.f64 F F 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (fma.f64 F F 2) -1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (pow.f64 (fma.f64 F F 2) -1/2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (/.f64 1 (fma.f64 F F 2)) 3/2) (/.f64 1 (fma.f64 F F 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 F F 2) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (fma.f64 F F 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 F F 2) -1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1 (fma.f64 F F 2)) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 (fma.f64 F F 2) -1/2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (pow.f64 (fma.f64 F F 2) -1/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 F F 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (pow.f64 (fma.f64 F F 2) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (pow.f64 (fma.f64 F F 2) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (fma.f64 F F 2) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (fma.f64 F F 2) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 (fma.f64 F F 2)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (fma.f64 F F 2) -1/2) 1 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 1 (fma.f64 F F 2))) (cbrt.f64 (pow.f64 (fma.f64 F F 2) -1/2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (pow.f64 (fma.f64 F F 2) -1/2)) (sqrt.f64 (pow.f64 (fma.f64 F F 2) -1/2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (fma.f64 F F 2) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (pow.f64 (fma.f64 F F 2) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (fma.f64 F F 2) -1/2)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (fma.f64 F F 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1 (fma.f64 F F 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (log1p.f64 (/.f64 1 (fma.f64 F F 2)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (fma.f64 F F 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (/.f64 1 (fma.f64 F F 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (fma.f64 F F 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 1 (fma.f64 F F 2)) (/.f64 1 (fma.f64 F F 2))) (/.f64 1 (fma.f64 F F 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 1 (fma.f64 F F 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (/.f64 1/2 (fma.f64 F F 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (fma.f64 F F 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (fma.f64 F F 2) -1/2) (pow.f64 (fma.f64 F F 2) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (pow.f64 (fma.f64 F F 2) -1/2)) (neg.f64 (pow.f64 (fma.f64 F F 2) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (/.f64 1 (fma.f64 F F 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -2 (/.f64 1/2 (neg.f64 (fma.f64 F F 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 4 (/.f64 1/2 (/.f64 (fma.f64 F F 2) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 1 (fma.f64 F F 2))) (cbrt.f64 (pow.f64 (fma.f64 F F 2) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 1 (fma.f64 F F 2))) (.f64 (pow.f64 (fma.f64 F F 2) -1/2) (cbrt.f64 (pow.f64 (fma.f64 F F 2) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (fma.f64 F F 2) -2)) (cbrt.f64 (/.f64 1 (fma.f64 F F 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (pow.f64 (fma.f64 F F 2) -1/2)) (.f64 (pow.f64 (fma.f64 F F 2) -1/2) (sqrt.f64 (pow.f64 (fma.f64 F F 2) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1/2 (fma.f64 F F 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (pow.f64 (fma.f64 F F 2) -1/2) (pow.f64 (fma.f64 F F 2) -1/2)) (/.f64 1/2 (sqrt.f64 (fma.f64 F F 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (pow.f64 (fma.f64 F F 2) -1/2) (pow.f64 (fma.f64 F F 2) -1/2)) (/.f64 1/2 (/.f64 1 (pow.f64 (fma.f64 F F 2) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (/.f64 1 (fma.f64 F F 2)) (/.f64 1 (fma.f64 F F 2))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 F F 2)) 2) -1) (pow.f64 (cbrt.f64 (fma.f64 F F 2)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (+.f64 (pow.f64 F 4) (-.f64 4 (.f64 2 (.f64 F F)))) (+.f64 (pow.f64 F 4) (-.f64 4 (.f64 2 (.f64 F F))))) (/.f64 1/2 (+.f64 8 (pow.f64 F 6))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (pow.f64 (/.f64 1 (fma.f64 F F 2)) 3) (pow.f64 (/.f64 1 (fma.f64 F F 2)) 3)) (/.f64 1/2 (pow.f64 (fma.f64 F F 2) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (neg.f64 (/.f64 1 (fma.f64 F F 2))) (neg.f64 (/.f64 1 (fma.f64 F F 2)))) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 F F 2)) 2)) (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 F F 2)) 2))) (/.f64 1/2 (cbrt.f64 (fma.f64 F F 2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 F F 2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (fma.f64 F F 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 F F 2) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 F F 2) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1 (fma.f64 F F 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 1 (fma.f64 F F 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (/.f64 1 (fma.f64 F F 2))))))) (#(struct:change #<rule egg-rr> (2) ((x 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (/.f64 F (sqrt.f64 (fma.f64 F F 2))) (sin.f64 B)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (/.f64 F (sqrt.f64 (fma.f64 F F 2))) (sin.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 F (sqrt.f64 (fma.f64 F F 2))) (sin.f64 B)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (/.f64 F (sqrt.f64 (fma.f64 F F 2))) (sin.f64 B)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (/.f64 (/.f64 F (sqrt.f64 (fma.f64 F F 2))) (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 F (sqrt.f64 (fma.f64 F F 2))) (sin.f64 B)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 (/.f64 F (sqrt.f64 (fma.f64 F F 2))) (sin.f64 B)) (/.f64 (/.f64 F (sqrt.f64 (fma.f64 F F 2))) (sin.f64 B))) (/.f64 (/.f64 F (sqrt.f64 (fma.f64 F F 2))) (sin.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 (/.f64 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B)) 3) (pow.f64 (/.f64 (/.f64 F (sqrt.f64 (fma.f64 F F 2))) (sin.f64 B)) 3)) (/.f64 1/2 (pow.f64 (/.f64 (/.f64 F (sqrt.f64 (fma.f64 F F 2))) (sin.f64 B)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (.f64 1/2 (.f64 (pow.f64 (fma.f64 F F 2) -1/2) (+.f64 F F))) (.f64 1/2 (.f64 (pow.f64 (fma.f64 F F 2) -1/2) (+.f64 F F)))) (/.f64 1/2 (sin.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (/.f64 (/.f64 F (sqrt.f64 (fma.f64 F F 2))) (pow.f64 (cbrt.f64 (sin.f64 B)) 2)) (/.f64 (/.f64 F (sqrt.f64 (fma.f64 F F 2))) (pow.f64 (cbrt.f64 (sin.f64 B)) 2))) (/.f64 1/2 (cbrt.f64 (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (/.f64 (/.f64 F (sqrt.f64 (fma.f64 F F 2))) (sqrt.f64 (sin.f64 B))) (/.f64 (/.f64 F (sqrt.f64 (fma.f64 F F 2))) (sqrt.f64 (sin.f64 B)))) (/.f64 1/2 (sqrt.f64 (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 F (sqrt.f64 (fma.f64 F F 2))) (sin.f64 B)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (/.f64 F (sqrt.f64 (fma.f64 F F 2))) (sin.f64 B)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (/.f64 F (sqrt.f64 (fma.f64 F F 2))) (sin.f64 B))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (/.f64 F (sqrt.f64 (fma.f64 F F 2))) (sin.f64 B))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (/.f64 (/.f64 F (sqrt.f64 (fma.f64 F F 2))) (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (/.f64 F (sqrt.f64 (fma.f64 F F 2))) (sin.f64 B)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (/.f64 (/.f64 F (sqrt.f64 (fma.f64 F F 2))) (sin.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (/.f64 F (sqrt.f64 (fma.f64 F F 2))) (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 F (sqrt.f64 (fma.f64 F F 2))) (sin.f64 B)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (/.f64 F (sqrt.f64 (fma.f64 F F 2))) (sin.f64 B)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (/.f64 F (sqrt.f64 (fma.f64 F F 2))) 3) (pow.f64 (sin.f64 B) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (fma.f64 F F 2) -1/2) (/.f64 F (sin.f64 B)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (/.f64 F (sqrt.f64 (fma.f64 F F 2))) (sin.f64 B)) 1 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 F (sqrt.f64 (fma.f64 F F 2))) (sin.f64 B))) 2) (cbrt.f64 (/.f64 (/.f64 F (sqrt.f64 (fma.f64 F F 2))) (sin.f64 B))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 (/.f64 F (sqrt.f64 (fma.f64 F F 2))) (sin.f64 B))) (sqrt.f64 (/.f64 (/.f64 F (sqrt.f64 (fma.f64 F F 2))) (sin.f64 B))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (pow.f64 (fma.f64 F F 2) -1/2) (+.f64 F F)) (/.f64 1/2 (sin.f64 B)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (/.f64 F (sqrt.f64 (fma.f64 F F 2))) (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (/.f64 F (sqrt.f64 (fma.f64 F F 2))) (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (/.f64 F (sqrt.f64 (fma.f64 F F 2))) (sin.f64 B))))))))

simplify40.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

363×	`fma-def_binary64`
363×	`fma-neg_binary64`
278×	`rule-a-*a1_binary64`
278×	`rule-a--a0_binary64`
278×	`rule-a-+a0_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	180	1583
1	1314	1513

Stop Event

1×	node limit

Counts

236 → 263

Calls

Call 1

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

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

prune429.0ms (4.2%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	262	1	263
Fresh	1	10	11
Picked	0	1	1
Done	0	0	0
Total	263	12	275

Error

0.0b

Counts

275 → 12

Alt Table

Status	Error	Program
	16.0b	(-.f64 (.f64 (/.f64 F (sin.f64 B)) (.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))) (/.f64 x (tan.f64 B)))
✓	10.6b	(-.f64 (/.f64 (*.f64 F (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) 2)))) (sin.f64 B)) (/.f64 x (tan.f64 B)))
	16.4b	(-.f64 (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)) (pow.f64 (cbrt.f64 (/.f64 x (tan.f64 B))) 3))
	16.1b	(-.f64 (.f64 (/.f64 F (sin.f64 B)) (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)) (.f64 x (/.f64 (cos.f64 B) (sin.f64 B))))
	34.1b	(-.f64 (.f64 (/.f64 F (sin.f64 B)) (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)) (.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (tan.f64 B))))
	16.0b	(-.f64 (.f64 (/.f64 F (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)))
	31.4b	(-.f64 (/.f64 -1 (sin.f64 B)) (/.f64 x (tan.f64 B)))
	29.2b	(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))
	37.0b	(-.f64 (*.f64 (/.f64 F (sin.f64 B)) (/.f64 -1 F)) (/.f64 x (tan.f64 B)))
	35.2b	(-.f64 (*.f64 (/.f64 F (sin.f64 B)) (/.f64 1 F)) (/.f64 x (tan.f64 B)))
	16.1b	(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (.f64 F F) 2) (.f64 2 x)) (neg.f64 (/.f64 1 2)))))
▶	10.6b	(-.f64 (/.f64 (/.f64 F (sqrt.f64 (fma.f64 F F 2))) (sin.f64 B)) (/.f64 x (tan.f64 B)))

Compiler

Compiled 6824 to 3962 computations (41.9% saved)

localize17.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

series6.0ms (0.1%)

Counts

3 → 48

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	F	@	0	(sqrt.f64 (fma.f64 F F 2))
1.0ms	B	@	inf	(/.f64 (/.f64 F (sqrt.f64 (fma.f64 F F 2))) (sin.f64 B))
0.0ms	F	@	0	(/.f64 (/.f64 F (sqrt.f64 (fma.f64 F F 2))) (sin.f64 B))
0.0ms	F	@	inf	(sqrt.f64 (fma.f64 F F 2))
0.0ms	B	@	0	(/.f64 (/.f64 F (sqrt.f64 (fma.f64 F F 2))) (sin.f64 B))

rewrite64.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

271×	`rule-/ab-*+aa/1/2b_binary64`
226×	`rule-aa-fabsaa_binary64`
181×	`rule-nega--0a_binary64`
181×	`rule-nega-/a-1_binary64`
181×	`rule-nega-*a-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	32
1	233	32
2	3155	32

Stop Event

1×	node limit

Counts

3 → 164

Calls

Call 1

Inputs
(sqrt.f64 (fma.f64 F F 2))
(/.f64 (/.f64 F (sqrt.f64 (fma.f64 F F 2))) (sin.f64 B))
(/.f64 F (sqrt.f64 (fma.f64 F F 2)))

Outputs

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

simplify57.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

323×	`fma-def_binary64`
317×	`fma-neg_binary64`
254×	`rule-a-*a1_binary64`
254×	`rule-a--a0_binary64`
254×	`rule-a-+a0_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	160	1290
1	1179	1216
2	4973	1215

Stop Event

1×	node limit

Counts

212 → 239

Calls

Call 1

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

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

prune288.0ms (2.8%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	281	4	285
Fresh	4	6	10
Picked	1	0	1
Done	0	1	1
Total	286	11	297

Error

0.0b

Counts

297 → 11

Alt Table

Status	Error	Program
	35.2b	(-.f64 (*.f64 (/.f64 F (sin.f64 B)) (/.f64 1 F)) (/.f64 x (tan.f64 B)))
	10.6b	(-.f64 (/.f64 (/.f64 F (sqrt.f64 (fma.f64 F F 2))) (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
	16.0b	(-.f64 (.f64 (/.f64 F (sin.f64 B)) (.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))) (/.f64 x (tan.f64 B)))
✓	10.6b	(-.f64 (/.f64 (*.f64 F (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) 2)))) (sin.f64 B)) (/.f64 x (tan.f64 B)))
	11.1b	(-.f64 (/.f64 (/.f64 F (sqrt.f64 (fma.f64 F F 2))) (sin.f64 B)) (pow.f64 (cbrt.f64 (/.f64 x (tan.f64 B))) 3))
	31.4b	(-.f64 (/.f64 -1 (sin.f64 B)) (/.f64 x (tan.f64 B)))
	29.2b	(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))
	37.0b	(-.f64 (*.f64 (/.f64 F (sin.f64 B)) (/.f64 -1 F)) (/.f64 x (tan.f64 B)))
	10.7b	(-.f64 (/.f64 (/.f64 F (sqrt.f64 (fma.f64 F F 2))) (sin.f64 B)) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B))))
	16.1b	(+.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)))))
	31.3b	(-.f64 (/.f64 (/.f64 F (sqrt.f64 (fma.f64 F F 2))) (sin.f64 B)) (*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (tan.f64 B))))

Compiler

Compiled 6988 to 4049 computations (42.1% saved)

regimes270.0ms (2.7%)

Accuracy

Total -48.8b remaining (-4877.2%)

Threshold costs -48.8b (-4877.2%)

Counts

71 → 3

Compiler

Compiled 1444 to 713 computations (50.6% saved)

bsearch741.0ms (7.3%)

Algorithm

2×	binary-search

Calls

2 calls:

600.0ms	F
140.0ms	F

Steps

Iters	Point		Range
4.3e-16	∈ [	4.241007122373028e-16	,	1.4341952378650318e-10	]
-1.8286206712943697e+158	∈ [	-1.8286206712943697e+158	,	-2.296494076823067e+152	]

Compiler

Compiled 324 to 235 computations (27.5% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Rules

1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	63
1	28	63

Stop Event

1×

saturated

Calls

Call 1

Inputs

(if (<=.f64 F -182862067129436973125418763986353257417435333320624742449691646984705979072532075030238808485261396631308018552530136030221664356992508709623222286868153368576) (-.f64 (/.f64 -1 (sin.f64 B)) (/.f64 x (tan.f64 B))) (if (<=.f64 F 4360718064785109/10141204801825835211973625643008) (-.f64 (/.f64 (/.f64 F (sqrt.f64 (fma.f64 F F 2))) (sin.f64 B)) (/.f64 x (tan.f64 B))) (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))))

Outputs

(if (<=.f64 F -182862067129436973125418763986353257417435333320624742449691646984705979072532075030238808485261396631308018552530136030221664356992508709623222286868153368576) (-.f64 (/.f64 -1 (sin.f64 B)) (/.f64 x (tan.f64 B))) (if (<=.f64 F 4360718064785109/10141204801825835211973625643008) (-.f64 (/.f64 (/.f64 F (sqrt.f64 (fma.f64 F F 2))) (sin.f64 B)) (/.f64 x (tan.f64 B))) (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))))

end134.0ms (1.3%)

Stop Event

1×

fuel

Compiler

Compiled 279 to 140 computations (49.8% saved)

Details

analyze2.4s (23.4%)

sample4.4s (43.1%)

preprocess31.0ms (0.3%)

simplify24.0ms (0.2%)

prune5.0ms (0%)

localize16.0ms (0.2%)

series42.0ms (0.4%)

rewrite65.0ms (0.6%)

simplify84.0ms (0.8%)

prune396.0ms (3.9%)

localize16.0ms (0.2%)

series10.0ms (0.1%)

rewrite54.0ms (0.5%)

simplify47.0ms (0.5%)

prune468.0ms (4.6%)

localize15.0ms (0.1%)

series11.0ms (0.1%)

rewrite67.0ms (0.7%)

simplify40.0ms (0.4%)

prune429.0ms (4.2%)

localize17.0ms (0.2%)

series6.0ms (0.1%)

rewrite64.0ms (0.6%)

simplify57.0ms (0.6%)

prune288.0ms (2.8%)

regimes270.0ms (2.7%)

bsearch741.0ms (7.3%)

simplify2.0ms (0%)

end134.0ms (1.3%)

Profiling