Details

analyze687.0ms (6.2%)

Algorithm

1×

Search

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

Compiler

Compiled 31 to 24 computations (22.6% saved)

sample5.4s (49.1%)

Results

2.6s	2257×	body	1024	valid
1.1s	4006×	body	64	valid
997.0ms	1123×	body	512	valid
334.0ms	551×	body	256	valid
247.0ms	1137×	body	64	invalid
138.0ms	310×	body	128	valid
14.0ms	9×	body	2048	valid
2.0ms	2×	body	1024	invalid

preprocess64.0ms (0.6%)

Algorithm

2×	egg-herbie

Rules

763×	`fma-def_binary64`
568×	`unswap-sqr_binary64`
555×	`fma-neg_binary64`
386×	`distribute-neg-frac_binary64`
380×	`div-sub_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	140
1	138	112
2	339	112
3	808	112
4	2075	112
5	4823	112
6	6771	112
0	3	3

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1
2

Outputs
0
1
2

Call 2

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

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

Compiler

Compiled 30 to 23 computations (23.3% saved)

simplify57.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

632×	`distribute-rgt-neg-in_binary64`
586×	`div-sub_binary64`
474×	`fma-neg_binary64`
437×	`sub-neg_binary64`
411×	`distribute-lft-neg-in_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	23	35
1	49	28
2	105	28
3	215	28
4	494	28
5	1487	28
6	3884	28
7	6306	28
8	7588	28

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

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

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

prune5.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

10.4b

Counts

3 → 2

Alt Table

Status	Error	Program
▶	10.5b	(-.f64 (*.f64 F (/.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2) (sin.f64 B))) (/.f64 x (tan.f64 B)))
	14.6b	(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (.f64 F F) 2) (.f64 2 x)) (neg.f64 (/.f64 1 2)))))

Status

Error

Program

▶

10.5b

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

14.6b

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

Compiler

Compiled 153 to 109 computations (28.8% saved)

localize18.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 x (tan.f64 B))
✓	0.2b	(*.f64 F (/.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2) (sin.f64 B)))
✓	0.4b	(/.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2) (sin.f64 B))
✓	16.7b	(pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)

series48.0ms (0.4%)

Counts

4 → 104

Calls

30 calls:

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

rewrite78.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

723×	`log-prod_binary64`
393×	`pow2_binary64`
274×	`pow1/3_binary64`
270×	`expm1-udef_binary64`
270×	`log1p-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

4 → 130

Calls

Call 1

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

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

simplify105.0ms (1%)

Algorithm

1×	egg-herbie

Rules

822×	`distribute-rgt-in_binary64`
773×	`times-frac_binary64`
432×	`fma-def_binary64`
285×	`*-commutative_binary64`
247×	`associate-r_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	428	4825
1	1412	4166
2	4724	3804

Stop Event

1×	node limit

Counts

234 → 267

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

Outputs
(sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) 2)))
(sqrt.f64 (/.f64 1 (+.f64 2 (*.f64 F F))))
(sqrt.f64 (/.f64 1 (fma.f64 F F 2)))
(+.f64 (.f64 -1 (.f64 x (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) 2) 3))))) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) 2))))
(fma.f64 -1 (.f64 x (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 2 (.f64 F F)) 3)))) (sqrt.f64 (/.f64 1 (+.f64 2 (*.f64 F F)))))
(fma.f64 (neg.f64 x) (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 F F 2) 3))) (sqrt.f64 (/.f64 1 (fma.f64 F F 2))))
(+.f64 (.f64 -1 (.f64 x (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) 2) 3))))) (+.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)))))
(fma.f64 -1 (.f64 x (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 2 (.f64 F F)) 3)))) (fma.f64 3/2 (.f64 (.f64 x x) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 2 (.f64 F F)) 5)))) (sqrt.f64 (/.f64 1 (+.f64 2 (.f64 F F))))))
(-.f64 (fma.f64 3/2 (.f64 (.f64 x x) (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 F F 2) 5)))) (sqrt.f64 (/.f64 1 (fma.f64 F F 2)))) (*.f64 x (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 F F 2) 3)))))
(+.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))))))
(fma.f64 -1 (.f64 x (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 2 (.f64 F F)) 3)))) (fma.f64 -5/2 (.f64 (pow.f64 x 3) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 2 (.f64 F F)) 7)))) (fma.f64 3/2 (.f64 (.f64 x x) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 2 (.f64 F F)) 5)))) (sqrt.f64 (/.f64 1 (+.f64 2 (.f64 F F)))))))
(-.f64 (fma.f64 -5/2 (.f64 (pow.f64 x 3) (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 F F 2) 7)))) (fma.f64 3/2 (.f64 (.f64 x x) (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 F F 2) 5)))) (sqrt.f64 (/.f64 1 (fma.f64 F F 2))))) (.f64 x (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 F F 2) 3)))))
(exp.f64 (.f64 -1/2 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x))))))
(pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x)))))
(pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 2) (log.f64 x)))
(*.f64 (pow.f64 x -1/2) (pow.f64 2 -1/2))
(+.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 (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x))))) (.f64 -1/4 (/.f64 (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x))))) (/.f64 x (+.f64 2 (.f64 F F))))))
(fma.f64 -1/4 (*.f64 (/.f64 (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 2) (log.f64 x))) x) (fma.f64 F F 2)) (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 2) (log.f64 x))))
(fma.f64 -1/4 (.f64 (/.f64 (.f64 (pow.f64 x -1/2) (pow.f64 2 -1/2)) x) (fma.f64 F F 2)) (*.f64 (pow.f64 x -1/2) (pow.f64 2 -1/2)))
(+.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 (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x))))) (/.f64 (.f64 x x) (.f64 (pow.f64 (+.f64 2 (.f64 F F)) 2) 3/32))) (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x)))))) (.f64 -1/4 (/.f64 (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x))))) (/.f64 x (+.f64 2 (*.f64 F F))))))
(+.f64 (fma.f64 -1/4 (.f64 (/.f64 (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 2) (log.f64 x))) x) (fma.f64 F F 2)) (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 2) (log.f64 x)))) (.f64 (/.f64 (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 2) (log.f64 x))) x) (/.f64 (*.f64 (pow.f64 (fma.f64 F F 2) 2) 3/32) x)))
(+.f64 (fma.f64 -1/4 (.f64 (/.f64 (.f64 (pow.f64 x -1/2) (pow.f64 2 -1/2)) x) (fma.f64 F F 2)) (.f64 (pow.f64 x -1/2) (pow.f64 2 -1/2))) (/.f64 (.f64 (pow.f64 (fma.f64 F F 2) 2) 3/32) (*.f64 (/.f64 x (pow.f64 2 -1/2)) (/.f64 x (pow.f64 x -1/2)))))
(+.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)))))
(+.f64 (+.f64 (/.f64 (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x))))) (/.f64 (.f64 x x) (.f64 (pow.f64 (+.f64 2 (.f64 F F)) 2) 3/32))) (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x)))))) (fma.f64 -1/4 (/.f64 (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x))))) (/.f64 x (+.f64 2 (.f64 F F)))) (/.f64 (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x))))) (/.f64 (pow.f64 x 3) (fma.f64 -1/48 (pow.f64 (+.f64 2 (.f64 F F)) 3) (.f64 (pow.f64 (+.f64 2 (*.f64 F F)) 3) -7/384))))))
(+.f64 (fma.f64 -1/4 (.f64 (/.f64 (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 2) (log.f64 x))) x) (fma.f64 F F 2)) (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 2) (log.f64 x)))) (+.f64 (.f64 (/.f64 (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 2) (log.f64 x))) (pow.f64 x 3)) (.f64 (pow.f64 (fma.f64 F F 2) 3) -5/128)) (.f64 (/.f64 (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 2) (log.f64 x))) x) (/.f64 (*.f64 (pow.f64 (fma.f64 F F 2) 2) 3/32) x))))
(+.f64 (fma.f64 -1/4 (.f64 (/.f64 (.f64 (pow.f64 x -1/2) (pow.f64 2 -1/2)) x) (fma.f64 F F 2)) (.f64 (pow.f64 x -1/2) (pow.f64 2 -1/2))) (.f64 (.f64 (/.f64 (pow.f64 2 -1/2) x) (/.f64 (pow.f64 x -1/2) x)) (+.f64 (/.f64 (.f64 (pow.f64 (fma.f64 F F 2) 3) -5/128) x) (*.f64 (pow.f64 (fma.f64 F F 2) 2) 3/32))))
(exp.f64 (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2))))
(pow.f64 (exp.f64 -1/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -2)))
(pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -2) (log.f64 (/.f64 -1 x))))
(*.f64 (pow.f64 (/.f64 -1 x) 1/2) (pow.f64 -2 -1/2))
(+.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 (pow.f64 (exp.f64 -1/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -2))) (.f64 -1/4 (/.f64 (pow.f64 (exp.f64 -1/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -2))) (/.f64 x (+.f64 2 (.f64 F F))))))
(fma.f64 -1/4 (*.f64 (/.f64 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -2) (log.f64 (/.f64 -1 x)))) x) (fma.f64 F F 2)) (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -2) (log.f64 (/.f64 -1 x)))))
(fma.f64 -1/4 (.f64 (/.f64 (.f64 (pow.f64 (/.f64 -1 x) 1/2) (pow.f64 -2 -1/2)) x) (fma.f64 F F 2)) (*.f64 (pow.f64 (/.f64 -1 x) 1/2) (pow.f64 -2 -1/2)))
(+.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 (pow.f64 (exp.f64 -1/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -2))) (.f64 -1/4 (/.f64 (pow.f64 (exp.f64 -1/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -2))) (/.f64 x (+.f64 2 (.f64 F F)))))) (/.f64 (pow.f64 (exp.f64 -1/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -2))) (/.f64 (.f64 x x) (.f64 (pow.f64 (+.f64 2 (*.f64 F F)) 2) 3/32))))
(+.f64 (fma.f64 -1/4 (.f64 (/.f64 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -2) (log.f64 (/.f64 -1 x)))) x) (fma.f64 F F 2)) (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -2) (log.f64 (/.f64 -1 x))))) (.f64 (/.f64 (*.f64 (pow.f64 (fma.f64 F F 2) 2) 3/32) x) (/.f64 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -2) (log.f64 (/.f64 -1 x)))) x)))
(+.f64 (fma.f64 -1/4 (.f64 (/.f64 (.f64 (pow.f64 (/.f64 -1 x) 1/2) (pow.f64 -2 -1/2)) x) (fma.f64 F F 2)) (.f64 (pow.f64 (/.f64 -1 x) 1/2) (pow.f64 -2 -1/2))) (.f64 (.f64 (/.f64 (pow.f64 (/.f64 -1 x) 1/2) x) (/.f64 (pow.f64 -2 -1/2) x)) (.f64 (pow.f64 (fma.f64 F F 2) 2) 3/32)))
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(fma.f64 (sqrt.f64 (/.f64 1 (fma.f64 F F 2))) (/.f64 F (sin.f64 B)) (fma.f64 1/2 (/.f64 (.f64 F (sqrt.f64 (fma.f64 F F 2))) (/.f64 (/.f64 (sin.f64 B) (.f64 x x)) (-.f64 (/.f64 4 (pow.f64 (fma.f64 F F 2) 3)) (/.f64 1 (pow.f64 (fma.f64 F F 2) 3))))) (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 F F 2) 3))) (/.f64 (neg.f64 (.f64 F x)) (sin.f64 B)))))
(+.f64 (.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) 2)))) (+.f64 (.f64 1/2 (.f64 (/.f64 (.f64 F (.f64 (-.f64 (.f64 4 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) 2) 3))) (pow.f64 (.f64 -1 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) 2) 3)))) 2)) (pow.f64 x 2))) (sin.f64 B)) (sqrt.f64 (+.f64 (pow.f64 F 2) 2)))) (+.f64 (.f64 -1 (.f64 (/.f64 (.f64 F x) (sin.f64 B)) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) 2) 3))))) (.f64 -1/2 (.f64 (/.f64 (.f64 F (.f64 (+.f64 (.f64 8 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) 2) 4))) (.f64 -1 (/.f64 (-.f64 (.f64 4 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) 2) 3))) (pow.f64 (.f64 -1 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) 2) 3)))) 2)) (+.f64 (pow.f64 F 2) 2)))) (pow.f64 x 3))) (sin.f64 B)) (sqrt.f64 (+.f64 (pow.f64 F 2) 2)))))))
(fma.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 2 (.f64 F F)))) (fma.f64 1/2 (.f64 (sqrt.f64 (+.f64 2 (.f64 F F))) (/.f64 F (/.f64 (sin.f64 B) (.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)))))) (fma.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 2 (.f64 F F)) 3))) (/.f64 F (/.f64 (sin.f64 B) x))) (.f64 (.f64 -1/2 (/.f64 F (/.f64 (sin.f64 B) (.f64 (pow.f64 x 3) (+.f64 (/.f64 8 (pow.f64 (+.f64 2 (.f64 F F)) 4)) (neg.f64 (/.f64 (-.f64 (/.f64 4 (pow.f64 (+.f64 2 (.f64 F F)) 3)) (pow.f64 (neg.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 2 (.f64 F F)) 3)))) 2)) (+.f64 2 (.f64 F F))))))))) (sqrt.f64 (+.f64 2 (*.f64 F F)))))))
(fma.f64 (sqrt.f64 (/.f64 1 (fma.f64 F F 2))) (/.f64 F (sin.f64 B)) (fma.f64 1/2 (/.f64 (.f64 F (sqrt.f64 (fma.f64 F F 2))) (/.f64 (/.f64 (sin.f64 B) (.f64 x x)) (-.f64 (/.f64 4 (pow.f64 (fma.f64 F F 2) 3)) (pow.f64 (neg.f64 (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 F F 2) 3)))) 2)))) (-.f64 (.f64 (sqrt.f64 (fma.f64 F F 2)) (.f64 -1/2 (.f64 (/.f64 F (sin.f64 B)) (.f64 (pow.f64 x 3) (-.f64 (/.f64 8 (pow.f64 (fma.f64 F F 2) 4)) (-.f64 (/.f64 4 (pow.f64 (fma.f64 F F 2) 4)) (/.f64 (pow.f64 (neg.f64 (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 F F 2) 3)))) 2) (fma.f64 F F 2)))))))) (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 F F 2) 3))) (/.f64 (.f64 F x) (sin.f64 B))))))
(fma.f64 (sqrt.f64 (/.f64 1 (fma.f64 F F 2))) (/.f64 F (sin.f64 B)) (-.f64 (.f64 (sqrt.f64 (fma.f64 F F 2)) (+.f64 (/.f64 (.f64 1/2 F) (/.f64 (/.f64 (sin.f64 B) (.f64 x x)) (-.f64 (/.f64 4 (pow.f64 (fma.f64 F F 2) 3)) (/.f64 1 (pow.f64 (fma.f64 F F 2) 3))))) (.f64 -1/2 (.f64 (/.f64 F (sin.f64 B)) (.f64 (pow.f64 x 3) (-.f64 (/.f64 8 (pow.f64 (fma.f64 F F 2) 4)) (-.f64 (/.f64 4 (pow.f64 (fma.f64 F F 2) 4)) (/.f64 (/.f64 1 (pow.f64 (fma.f64 F F 2) 3)) (fma.f64 F F 2))))))))) (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 F F 2) 3))) (/.f64 (.f64 F x) (sin.f64 B)))))
(.f64 (/.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x))))))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 F F) (fma.f64 2 x 2)))) (/.f64 F B))
(*.f64 (sqrt.f64 (/.f64 1 (fma.f64 F F (fma.f64 2 x 2)))) (/.f64 F B))
(+.f64 (.f64 (/.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x)))))) (.f64 1/6 (.f64 (.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x))))))))
(fma.f64 (/.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 (.f64 F F) (fma.f64 2 x 2)))) (.f64 (.f64 1/6 (.f64 F B)) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 F F) (fma.f64 2 x 2))))))
(.f64 (sqrt.f64 (/.f64 1 (fma.f64 F F (fma.f64 2 x 2)))) (+.f64 (/.f64 F B) (.f64 1/6 (*.f64 F B))))
(+.f64 (.f64 (/.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x)))))) (+.f64 (.f64 1/6 (.f64 (.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x))))))) (.f64 -1 (.f64 (.f64 (+.f64 (.f64 1/120 F) (.f64 -1/36 F)) (pow.f64 B 3)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x)))))))))
(fma.f64 (/.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 (.f64 F F) (fma.f64 2 x 2)))) (fma.f64 1/6 (.f64 F (.f64 B (sqrt.f64 (/.f64 1 (+.f64 (.f64 F F) (fma.f64 2 x 2)))))) (neg.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 F F) (fma.f64 2 x 2)))) (.f64 (pow.f64 B 3) (.f64 F -7/360))))))
(fma.f64 (sqrt.f64 (/.f64 1 (fma.f64 F F (fma.f64 2 x 2)))) (/.f64 F B) (.f64 (sqrt.f64 (/.f64 1 (fma.f64 F F (fma.f64 2 x 2)))) (+.f64 (neg.f64 (.f64 F (.f64 -7/360 (pow.f64 B 3)))) (.f64 1/6 (*.f64 F B)))))
(.f64 (sqrt.f64 (/.f64 1 (fma.f64 F F (fma.f64 2 x 2)))) (-.f64 (+.f64 (/.f64 F B) (.f64 1/6 (.f64 F B))) (.f64 F (*.f64 -7/360 (pow.f64 B 3)))))
(+.f64 (.f64 (/.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x)))))) (+.f64 (.f64 1/6 (.f64 (.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x))))))) (+.f64 (.f64 -1 (.f64 (.f64 (+.f64 (.f64 1/6 (+.f64 (.f64 1/120 F) (.f64 -1/36 F))) (+.f64 (.f64 1/720 F) (.f64 -1/5040 F))) (pow.f64 B 5)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x))))))) (.f64 -1 (.f64 (.f64 (+.f64 (.f64 1/120 F) (.f64 -1/36 F)) (pow.f64 B 3)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (*.f64 2 x))))))))))
(fma.f64 (/.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 (.f64 F F) (fma.f64 2 x 2)))) (fma.f64 1/6 (.f64 F (.f64 B (sqrt.f64 (/.f64 1 (+.f64 (.f64 F F) (fma.f64 2 x 2)))))) (.f64 -1 (+.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 F F) (fma.f64 2 x 2)))) (.f64 (pow.f64 B 5) (fma.f64 1/6 (.f64 F -7/360) (.f64 F 1/840)))) (.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 F F) (fma.f64 2 x 2)))) (.f64 (pow.f64 B 3) (.f64 F -7/360)))))))
(+.f64 (neg.f64 (.f64 (sqrt.f64 (/.f64 1 (fma.f64 F F (fma.f64 2 x 2)))) (+.f64 (.f64 (pow.f64 B 5) (fma.f64 F 1/840 (.f64 F -7/2160))) (.f64 F (.f64 -7/360 (pow.f64 B 3)))))) (.f64 (sqrt.f64 (/.f64 1 (fma.f64 F F (fma.f64 2 x 2)))) (+.f64 (/.f64 F B) (.f64 1/6 (.f64 F B)))))
(.f64 (sqrt.f64 (/.f64 1 (fma.f64 F F (fma.f64 2 x 2)))) (+.f64 (-.f64 (.f64 (pow.f64 B 3) (.f64 F 7/360)) (.f64 (pow.f64 B 5) (.f64 F -31/15120))) (+.f64 (.f64 1/6 (*.f64 F B)) (/.f64 F B))))
(.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x))))))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 F F) (fma.f64 2 x 2)))) (/.f64 F (sin.f64 B)))
(*.f64 (sqrt.f64 (/.f64 1 (fma.f64 F F (fma.f64 2 x 2)))) (/.f64 F (sin.f64 B)))
(.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x))))))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 F F) (fma.f64 2 x 2)))) (/.f64 F (sin.f64 B)))
(*.f64 (sqrt.f64 (/.f64 1 (fma.f64 F F (fma.f64 2 x 2)))) (/.f64 F (sin.f64 B)))
(.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x))))))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 F F) (fma.f64 2 x 2)))) (/.f64 F (sin.f64 B)))
(*.f64 (sqrt.f64 (/.f64 1 (fma.f64 F F (fma.f64 2 x 2)))) (/.f64 F (sin.f64 B)))
(.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x))))))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 F F) (fma.f64 2 x 2)))) (/.f64 F (sin.f64 B)))
(*.f64 (sqrt.f64 (/.f64 1 (fma.f64 F F (fma.f64 2 x 2)))) (/.f64 F (sin.f64 B)))
(.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x))))))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 F F) (fma.f64 2 x 2)))) (/.f64 F (sin.f64 B)))
(*.f64 (sqrt.f64 (/.f64 1 (fma.f64 F F (fma.f64 2 x 2)))) (/.f64 F (sin.f64 B)))
(.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x))))))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 F F) (fma.f64 2 x 2)))) (/.f64 F (sin.f64 B)))
(*.f64 (sqrt.f64 (/.f64 1 (fma.f64 F F (fma.f64 2 x 2)))) (/.f64 F (sin.f64 B)))
(.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x))))))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 F F) (fma.f64 2 x 2)))) (/.f64 F (sin.f64 B)))
(*.f64 (sqrt.f64 (/.f64 1 (fma.f64 F F (fma.f64 2 x 2)))) (/.f64 F (sin.f64 B)))
(.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x))))))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 F F) (fma.f64 2 x 2)))) (/.f64 F (sin.f64 B)))
(*.f64 (sqrt.f64 (/.f64 1 (fma.f64 F F (fma.f64 2 x 2)))) (/.f64 F (sin.f64 B)))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(/.f64 x B)
(+.f64 (/.f64 x B) (.f64 -1/3 (.f64 B x)))
(+.f64 (/.f64 x B) (.f64 -1/3 (.f64 x B)))
(fma.f64 -1/3 (*.f64 x B) (/.f64 x B))
(+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1/9 x) (.f64 2/15 x)) (pow.f64 B 3))) (+.f64 (/.f64 x B) (.f64 -1/3 (.f64 B x))))
(fma.f64 -1 (.f64 (pow.f64 B 3) (.f64 x 1/45)) (+.f64 (/.f64 x B) (.f64 -1/3 (.f64 x B))))
(-.f64 (fma.f64 -1/3 (.f64 x B) (/.f64 x B)) (.f64 (*.f64 (pow.f64 B 3) x) 1/45))
(fma.f64 (.f64 x -1/45) (pow.f64 B 3) (fma.f64 -1/3 (.f64 x B) (/.f64 x B)))
(+.f64 (.f64 -1 (.f64 (+.f64 (.f64 17/315 x) (+.f64 (.f64 -2/45 x) (.f64 -1/3 (+.f64 (.f64 -1/9 x) (.f64 2/15 x))))) (pow.f64 B 5))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1/9 x) (.f64 2/15 x)) (pow.f64 B 3))) (+.f64 (/.f64 x B) (.f64 -1/3 (*.f64 B x)))))
(fma.f64 -1 (.f64 (pow.f64 B 5) (fma.f64 17/315 x (fma.f64 -2/45 x (.f64 -1/3 (.f64 x 1/45))))) (fma.f64 -1 (.f64 (pow.f64 B 3) (.f64 x 1/45)) (+.f64 (/.f64 x B) (.f64 -1/3 (*.f64 x B)))))
(-.f64 (-.f64 (fma.f64 -1/3 (.f64 x B) (/.f64 x B)) (.f64 (.f64 (pow.f64 B 3) x) 1/45)) (.f64 (pow.f64 B 5) (+.f64 (.f64 x -1/135) (.f64 x 1/105))))
(-.f64 (fma.f64 (.f64 x -1/45) (pow.f64 B 3) (fma.f64 -1/3 (.f64 x B) (/.f64 x B))) (.f64 (pow.f64 B 5) (.f64 x 2/945)))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)

prune928.0ms (8.4%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	253	14	267
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	255	14	269

Error

0.0b

Counts

269 → 14

Alt Table

Status	Error	Program
	10.5b	(-.f64 (.f64 F (/.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2) (sin.f64 B))) (.f64 x (/.f64 1 (tan.f64 B))))
	10.5b	(-.f64 (.f64 F (/.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2) (sin.f64 B))) (.f64 (/.f64 x (sin.f64 B)) (cos.f64 B)))
	31.1b	(-.f64 (/.f64 -1 (sin.f64 B)) (/.f64 x (tan.f64 B)))
	10.8b	(-.f64 (/.f64 (/.f64 (*.f64 F (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)) (pow.f64 (cbrt.f64 (sin.f64 B)) 2)) (cbrt.f64 (sin.f64 B))) (/.f64 x (tan.f64 B)))
	44.9b	(-.f64 (.f64 F (/.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2) (sin.f64 B))) (.f64 (/.f64 (cbrt.f64 (*.f64 x x)) (sqrt.f64 (tan.f64 B))) (/.f64 (cbrt.f64 x) (sqrt.f64 (tan.f64 B)))))
	10.5b	(-.f64 (/.f64 F (/.f64 (sin.f64 B) (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2))) (/.f64 x (tan.f64 B)))
	29.6b	(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))
	10.5b	(-.f64 (*.f64 F (/.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2) (sin.f64 B))) (pow.f64 (/.f64 (tan.f64 B) x) -1))
	30.2b	(-.f64 (*.f64 F (/.f64 (/.f64 1 F) (sin.f64 B))) (/.f64 x (tan.f64 B)))
	11.0b	(-.f64 (*.f64 F (/.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2) (sin.f64 B))) (pow.f64 (cbrt.f64 (/.f64 x (tan.f64 B))) 3))
▶	10.4b	(-.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)))
	10.7b	(-.f64 (pow.f64 (cbrt.f64 (/.f64 F (/.f64 (sin.f64 B) (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)))) 3) (/.f64 x (tan.f64 B)))
	10.5b	(-.f64 (.f64 F (/.f64 (.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/4) (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/4)) (sin.f64 B))) (/.f64 x (tan.f64 B)))
	31.7b	(-.f64 (.f64 F (/.f64 -1 (.f64 (sin.f64 B) F))) (/.f64 x (tan.f64 B)))

Compiler

Compiled 10543 to 6834 computations (35.2% saved)

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(/.f64 x (tan.f64 B))
✓	0.3b	(*.f64 F (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2))
✓	0.5b	(/.f64 (*.f64 F (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)) (sin.f64 B))
	16.7b	(pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)

series28.0ms (0.3%)

Counts

2 → 44

Calls

15 calls:

Time	Variable		Point	Expression
17.0ms	x	@	inf	(/.f64 (*.f64 F (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)) (sin.f64 B))
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	x	@	inf	(*.f64 F (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2))

rewrite56.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

598×	`log-prod_binary64`
342×	`pow-prod-down_binary64`
325×	`pow2_binary64`
226×	`pow1/3_binary64`
224×	`expm1-udef_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	12	35
1	252	35
2	3109	34

Stop Event

1×	node limit

Counts

2 → 73

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

Outputs

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

simplify64.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

446×	`distribute-lft-in_binary64`
446×	`distribute-rgt-in_binary64`
445×	`associate-/l*_binary64`
385×	`associate-/r*_binary64`
314×	`times-frac_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	235	2688
1	824	2307
2	2551	2066

Stop Event

1×	node limit

Counts

117 → 143

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

prune882.0ms (8%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	247	11	258
Fresh	11	2	13
Picked	1	0	1
Done	0	0	0
Total	259	13	272

Error

0.0b

Counts

272 → 13

Alt Table

Status	Error	Program
	29.6b	(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))
	10.9b	(-.f64 (/.f64 (*.f64 F (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)) (sin.f64 B)) (pow.f64 (cbrt.f64 (/.f64 x (tan.f64 B))) 3))
▶	10.4b	(-.f64 (.f64 (/.f64 1 (sin.f64 B)) (.f64 F (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2))) (/.f64 x (tan.f64 B)))
	10.5b	(-.f64 (/.f64 (.f64 F (.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/4) (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/4))) (sin.f64 B)) (/.f64 x (tan.f64 B)))
	10.5b	(-.f64 (/.f64 (*.f64 F (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)) (sin.f64 B)) (pow.f64 (/.f64 (tan.f64 B) x) -1))
	29.7b	(-.f64 (/.f64 (*.f64 F (/.f64 1 F)) (sin.f64 B)) (/.f64 x (tan.f64 B)))
	10.5b	(-.f64 (.f64 F (/.f64 (.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/4) (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/4)) (sin.f64 B))) (/.f64 x (tan.f64 B)))
	44.9b	(-.f64 (/.f64 (.f64 F (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)) (sin.f64 B)) (.f64 (/.f64 (cbrt.f64 (*.f64 x x)) (sqrt.f64 (tan.f64 B))) (/.f64 (cbrt.f64 x) (sqrt.f64 (tan.f64 B)))))
	10.5b	(-.f64 (/.f64 (.f64 F (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)) (sin.f64 B)) (.f64 x (/.f64 1 (tan.f64 B))))
	31.1b	(-.f64 (/.f64 -1 (sin.f64 B)) (/.f64 x (tan.f64 B)))
	10.4b	(-.f64 (/.f64 (.f64 F (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)) (sin.f64 B)) (.f64 (/.f64 x (sin.f64 B)) (cos.f64 B)))
	31.7b	(-.f64 (.f64 F (/.f64 -1 (.f64 (sin.f64 B) F))) (/.f64 x (tan.f64 B)))
	10.4b	(-.f64 (.f64 1 (/.f64 F (.f64 (sin.f64 B) (sqrt.f64 (fma.f64 x 2 (fma.f64 F F 2)))))) (/.f64 x (tan.f64 B)))

Compiler

Compiled 9992 to 6496 computations (35% saved)

localize18.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 1 (sin.f64 B))
	0.3b	(*.f64 F (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2))
✓	0.4b	(.f64 (/.f64 1 (sin.f64 B)) (.f64 F (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)))
	16.7b	(pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)

series5.0ms (0%)

Counts

2 → 32

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	B	@	0	(.f64 (/.f64 1 (sin.f64 B)) (.f64 F (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)))
1.0ms	F	@	0	(.f64 (/.f64 1 (sin.f64 B)) (.f64 F (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)))
1.0ms	x	@	-inf	(.f64 (/.f64 1 (sin.f64 B)) (.f64 F (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)))
1.0ms	x	@	inf	(.f64 (/.f64 1 (sin.f64 B)) (.f64 F (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)))
0.0ms	x	@	0	(.f64 (/.f64 1 (sin.f64 B)) (.f64 F (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)))

rewrite55.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

633×	`log-prod_binary64`
389×	`pow-prod-down_binary64`
347×	`pow2_binary64`
243×	`pow1/3_binary64`
240×	`expm1-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	26
1	286	26
2	3318	26

Stop Event

1×	node limit

Counts

2 → 63

Calls

Call 1

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

Outputs

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

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

simplify49.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

852×	`fma-def_binary64`
786×	`associate-l_binary64`
369×	`distribute-lft-in_binary64`
369×	`distribute-rgt-in_binary64`
336×	`associate-/l*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	195	1717
1	671	1484
2	2027	1321

Stop Event

1×	node limit

Counts

95 → 110

Calls

Call 1

Inputs
(.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)))) (/.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 1 B)
(+.f64 (*.f64 1/6 B) (/.f64 1 B))
(+.f64 (.f64 7/360 (pow.f64 B 3)) (+.f64 (.f64 1/6 B) (/.f64 1 B)))
(+.f64 (.f64 7/360 (pow.f64 B 3)) (+.f64 (.f64 1/6 B) (+.f64 (*.f64 31/15120 (pow.f64 B 5)) (/.f64 1 B))))

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

prune746.0ms (6.8%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	226	0	226
Fresh	0	12	12
Picked	0	1	1
Done	0	0	0
Total	226	13	239

Error

0.0b

Counts

239 → 13

Alt Table

Status	Error	Program
	29.6b	(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))
	10.9b	(-.f64 (/.f64 (*.f64 F (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)) (sin.f64 B)) (pow.f64 (cbrt.f64 (/.f64 x (tan.f64 B))) 3))
✓	10.4b	(-.f64 (.f64 (/.f64 1 (sin.f64 B)) (.f64 F (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2))) (/.f64 x (tan.f64 B)))
	10.5b	(-.f64 (/.f64 (.f64 F (.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/4) (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/4))) (sin.f64 B)) (/.f64 x (tan.f64 B)))
	10.5b	(-.f64 (/.f64 (*.f64 F (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)) (sin.f64 B)) (pow.f64 (/.f64 (tan.f64 B) x) -1))
	29.7b	(-.f64 (/.f64 (*.f64 F (/.f64 1 F)) (sin.f64 B)) (/.f64 x (tan.f64 B)))
	10.5b	(-.f64 (.f64 F (/.f64 (.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/4) (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/4)) (sin.f64 B))) (/.f64 x (tan.f64 B)))
	44.9b	(-.f64 (/.f64 (.f64 F (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)) (sin.f64 B)) (.f64 (/.f64 (cbrt.f64 (*.f64 x x)) (sqrt.f64 (tan.f64 B))) (/.f64 (cbrt.f64 x) (sqrt.f64 (tan.f64 B)))))
	10.5b	(-.f64 (/.f64 (.f64 F (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)) (sin.f64 B)) (.f64 x (/.f64 1 (tan.f64 B))))
	31.1b	(-.f64 (/.f64 -1 (sin.f64 B)) (/.f64 x (tan.f64 B)))
	10.4b	(-.f64 (/.f64 (.f64 F (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)) (sin.f64 B)) (.f64 (/.f64 x (sin.f64 B)) (cos.f64 B)))
	31.7b	(-.f64 (.f64 F (/.f64 -1 (.f64 (sin.f64 B) F))) (/.f64 x (tan.f64 B)))
▶	10.4b	(-.f64 (.f64 1 (/.f64 F (.f64 (sin.f64 B) (sqrt.f64 (fma.f64 x 2 (fma.f64 F F 2)))))) (/.f64 x (tan.f64 B)))

Compiler

Compiled 9309 to 6252 computations (32.8% saved)

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(/.f64 x (tan.f64 B))
✓	0.2b	(/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 x 2 (fma.f64 F F 2)))))
✓	0.3b	(*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 x 2 (fma.f64 F F 2))))
✓	16.7b	(sqrt.f64 (fma.f64 x 2 (fma.f64 F F 2)))

series18.0ms (0.2%)

Counts

3 → 72

Calls

24 calls:

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

rewrite72.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

559×	`log-prod_binary64`
434×	`exp-prod_binary64`
331×	`pow-prod-down_binary64`
293×	`pow2_binary64`
206×	`pow1/3_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	46
1	226	46
2	2853	46

Stop Event

1×	node limit

Counts

3 → 116

Calls

Call 1

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

Outputs

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

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

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

simplify71.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

682×	`times-frac_binary64`
631×	`associate-/l*_binary64`
502×	`distribute-lft-in_binary64`
502×	`distribute-rgt-in_binary64`
318×	`fma-def_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	306	3213
1	1062	2854
2	3311	2630

Stop Event

1×	node limit

Counts

188 → 229

Calls

Call 1

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

Outputs
(sqrt.f64 (+.f64 (pow.f64 F 2) 2))
(sqrt.f64 (+.f64 2 (*.f64 F F)))
(sqrt.f64 (fma.f64 F F 2))
(+.f64 (sqrt.f64 (+.f64 (pow.f64 F 2) 2)) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) 2))) x))
(+.f64 (sqrt.f64 (+.f64 2 (.f64 F F))) (.f64 (sqrt.f64 (/.f64 1 (+.f64 2 (*.f64 F F)))) x))
(fma.f64 (sqrt.f64 (/.f64 1 (fma.f64 F F 2))) x (sqrt.f64 (fma.f64 F F 2)))
(+.f64 (sqrt.f64 (+.f64 (pow.f64 F 2) 2)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 x 2) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) 2) 3))))) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) 2))) x)))
(+.f64 (sqrt.f64 (+.f64 2 (.f64 F F))) (fma.f64 -1/2 (.f64 (.f64 x x) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 2 (.f64 F F)) 3)))) (.f64 (sqrt.f64 (/.f64 1 (+.f64 2 (.f64 F F)))) x)))
(+.f64 (sqrt.f64 (fma.f64 F F 2)) (fma.f64 (sqrt.f64 (/.f64 1 (fma.f64 F F 2))) x (.f64 -1/2 (.f64 (*.f64 x x) (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 F F 2) 3)))))))
(+.f64 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 F F 2) 3))) (.f64 -1/2 (*.f64 x x))) (fma.f64 (sqrt.f64 (/.f64 1 (fma.f64 F F 2))) x (sqrt.f64 (fma.f64 F F 2))))
(+.f64 (sqrt.f64 (+.f64 (pow.f64 F 2) 2)) (+.f64 (.f64 1/2 (.f64 (pow.f64 x 3) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) 2) 5))))) (+.f64 (.f64 -1/2 (.f64 (pow.f64 x 2) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) 2) 3))))) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) 2))) x))))
(+.f64 (sqrt.f64 (+.f64 2 (.f64 F F))) (fma.f64 1/2 (.f64 (pow.f64 x 3) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 2 (.f64 F F)) 5)))) (fma.f64 -1/2 (.f64 (.f64 x x) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 2 (.f64 F F)) 3)))) (.f64 (sqrt.f64 (/.f64 1 (+.f64 2 (.f64 F F)))) x))))
(+.f64 (sqrt.f64 (fma.f64 F F 2)) (fma.f64 1/2 (.f64 (pow.f64 x 3) (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 F F 2) 5)))) (fma.f64 (sqrt.f64 (/.f64 1 (fma.f64 F F 2))) x (.f64 -1/2 (.f64 (.f64 x x) (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 F F 2) 3))))))))
(+.f64 (fma.f64 (.f64 1/2 (pow.f64 x 3)) (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 F F 2) 5))) (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 F F 2) 3))) (.f64 -1/2 (.f64 x x)))) (fma.f64 (sqrt.f64 (/.f64 1 (fma.f64 F F 2))) x (sqrt.f64 (fma.f64 F F 2))))
(sqrt.f64 (+.f64 2 (*.f64 2 x)))
(sqrt.f64 (fma.f64 2 x 2))
(+.f64 (sqrt.f64 (+.f64 2 (.f64 2 x))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 2 x) 2))) (pow.f64 F 2))))
(+.f64 (.f64 1/2 (.f64 (*.f64 F F) (sqrt.f64 (/.f64 1 (fma.f64 2 x 2))))) (sqrt.f64 (fma.f64 2 x 2)))
(fma.f64 (.f64 1/2 (sqrt.f64 (/.f64 1 (fma.f64 2 x 2)))) (.f64 F F) (sqrt.f64 (fma.f64 2 x 2)))
(fma.f64 1/2 (.f64 (.f64 F F) (sqrt.f64 (/.f64 1 (fma.f64 2 x 2)))) (sqrt.f64 (fma.f64 2 x 2)))
(+.f64 (sqrt.f64 (+.f64 2 (.f64 2 x))) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 2 x) 2))) (pow.f64 F 2))) (.f64 -1/8 (.f64 (/.f64 (pow.f64 F 4) (+.f64 2 (.f64 2 x))) (sqrt.f64 (/.f64 1 (+.f64 (.f64 2 x) 2)))))))
(+.f64 (fma.f64 1/2 (.f64 (.f64 F F) (sqrt.f64 (/.f64 1 (fma.f64 2 x 2)))) (.f64 -1/8 (.f64 (/.f64 (pow.f64 F 4) (fma.f64 2 x 2)) (sqrt.f64 (/.f64 1 (fma.f64 2 x 2)))))) (sqrt.f64 (fma.f64 2 x 2)))
(+.f64 (fma.f64 (.f64 1/2 (sqrt.f64 (/.f64 1 (fma.f64 2 x 2)))) (.f64 F F) (sqrt.f64 (fma.f64 2 x 2))) (.f64 -1/8 (.f64 (/.f64 (pow.f64 F 4) (fma.f64 2 x 2)) (sqrt.f64 (/.f64 1 (fma.f64 2 x 2))))))
(+.f64 (.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 x 2))) (+.f64 (.f64 1/2 (.f64 F F)) (/.f64 (.f64 -1/8 (pow.f64 F 4)) (fma.f64 2 x 2)))) (sqrt.f64 (fma.f64 2 x 2)))
(+.f64 (sqrt.f64 (+.f64 2 (.f64 2 x))) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 2 x) 2))) (pow.f64 F 2))) (+.f64 (.f64 1/16 (.f64 (/.f64 (pow.f64 F 6) (+.f64 2 (.f64 2 x))) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 2 x) 2) 3))))) (.f64 -1/8 (.f64 (/.f64 (pow.f64 F 4) (+.f64 2 (.f64 2 x))) (sqrt.f64 (/.f64 1 (+.f64 (.f64 2 x) 2))))))))
(+.f64 (fma.f64 1/2 (.f64 (.f64 F F) (sqrt.f64 (/.f64 1 (fma.f64 2 x 2)))) (fma.f64 1/16 (.f64 (/.f64 (pow.f64 F 6) (fma.f64 2 x 2)) (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 2 x 2) 3)))) (.f64 -1/8 (*.f64 (/.f64 (pow.f64 F 4) (fma.f64 2 x 2)) (sqrt.f64 (/.f64 1 (fma.f64 2 x 2))))))) (sqrt.f64 (fma.f64 2 x 2)))
(+.f64 (fma.f64 (.f64 1/2 (sqrt.f64 (/.f64 1 (fma.f64 2 x 2)))) (.f64 F F) (sqrt.f64 (fma.f64 2 x 2))) (fma.f64 -1/8 (.f64 (/.f64 (pow.f64 F 4) (fma.f64 2 x 2)) (sqrt.f64 (/.f64 1 (fma.f64 2 x 2)))) (.f64 1/16 (*.f64 (/.f64 (pow.f64 F 6) (fma.f64 2 x 2)) (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 2 x 2) 3)))))))
(+.f64 (+.f64 (.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 x 2))) (+.f64 (.f64 1/2 (.f64 F F)) (/.f64 (.f64 -1/8 (pow.f64 F 4)) (fma.f64 2 x 2)))) (.f64 (/.f64 (.f64 (pow.f64 F 6) (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 2 x 2) 3)))) (+.f64 x 1)) 1/32)) (sqrt.f64 (fma.f64 2 x 2)))
F
(+.f64 F (.f64 1/2 (/.f64 (+.f64 (.f64 2 x) 2) F)))
(+.f64 F (/.f64 (*.f64 1/2 (fma.f64 2 x 2)) F))
(fma.f64 1/2 (/.f64 (fma.f64 2 x 2) F) F)
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 (+.f64 2 (.f64 2 x)) 2) (pow.f64 F 3))) (+.f64 F (.f64 1/2 (/.f64 (+.f64 (.f64 2 x) 2) F))))
(fma.f64 -1/8 (/.f64 (pow.f64 (fma.f64 2 x 2) 2) (pow.f64 F 3)) (+.f64 F (/.f64 (*.f64 1/2 (fma.f64 2 x 2)) F)))
(fma.f64 -1/8 (/.f64 (pow.f64 (fma.f64 2 x 2) 2) (pow.f64 F 3)) (fma.f64 1/2 (/.f64 (fma.f64 2 x 2) F) F))
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 (+.f64 2 (.f64 2 x)) 2) (pow.f64 F 3))) (+.f64 F (+.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 2 x) 2) F)) (.f64 1/16 (/.f64 (.f64 (+.f64 2 (.f64 2 x)) (pow.f64 (+.f64 (.f64 2 x) 2) 2)) (pow.f64 F 5))))))
(fma.f64 -1/8 (/.f64 (pow.f64 (fma.f64 2 x 2) 2) (pow.f64 F 3)) (+.f64 F (fma.f64 1/2 (/.f64 (fma.f64 2 x 2) F) (*.f64 1/16 (/.f64 (pow.f64 (fma.f64 2 x 2) 3) (pow.f64 F 5))))))
(+.f64 (fma.f64 1/2 (/.f64 (fma.f64 2 x 2) F) (*.f64 1/16 (/.f64 (pow.f64 (fma.f64 2 x 2) 3) (pow.f64 F 5)))) (fma.f64 -1/8 (/.f64 (pow.f64 (fma.f64 2 x 2) 2) (pow.f64 F 3)) F))
(+.f64 (fma.f64 -1/8 (/.f64 (pow.f64 (fma.f64 2 x 2) 2) (pow.f64 F 3)) (fma.f64 1/2 (/.f64 (fma.f64 2 x 2) F) F)) (*.f64 1/16 (/.f64 (pow.f64 (fma.f64 2 x 2) 3) (pow.f64 F 5))))
(*.f64 -1 F)
(neg.f64 F)
(+.f64 (.f64 -1/2 (/.f64 (+.f64 (.f64 2 x) 2) F)) (*.f64 -1 F))
(fma.f64 -1/2 (/.f64 (fma.f64 2 x 2) F) (neg.f64 F))
(-.f64 (/.f64 (+.f64 -1 (*.f64 x -1)) F) F)
(-.f64 (/.f64 (+.f64 -1 (neg.f64 x)) F) F)
(+.f64 (.f64 1/8 (/.f64 (pow.f64 (+.f64 2 (.f64 2 x)) 2) (pow.f64 F 3))) (+.f64 (.f64 -1/2 (/.f64 (+.f64 (.f64 2 x) 2) F)) (*.f64 -1 F)))
(fma.f64 1/8 (/.f64 (pow.f64 (fma.f64 2 x 2) 2) (pow.f64 F 3)) (fma.f64 -1/2 (/.f64 (fma.f64 2 x 2) F) (neg.f64 F)))
(-.f64 (fma.f64 (/.f64 (pow.f64 (fma.f64 2 x 2) 2) (pow.f64 F 3)) 1/8 (/.f64 (+.f64 -1 (*.f64 x -1)) F)) F)
(-.f64 (fma.f64 (/.f64 (pow.f64 (fma.f64 2 x 2) 2) (pow.f64 F 3)) 1/8 (/.f64 (+.f64 -1 (neg.f64 x)) F)) F)
(+.f64 (.f64 -1/16 (/.f64 (.f64 (+.f64 2 (.f64 2 x)) (pow.f64 (+.f64 (.f64 2 x) 2) 2)) (pow.f64 F 5))) (+.f64 (.f64 1/8 (/.f64 (pow.f64 (+.f64 2 (.f64 2 x)) 2) (pow.f64 F 3))) (+.f64 (.f64 -1/2 (/.f64 (+.f64 (.f64 2 x) 2) F)) (*.f64 -1 F))))
(fma.f64 -1/16 (/.f64 (pow.f64 (fma.f64 2 x 2) 3) (pow.f64 F 5)) (fma.f64 1/8 (/.f64 (pow.f64 (fma.f64 2 x 2) 2) (pow.f64 F 3)) (fma.f64 -1/2 (/.f64 (fma.f64 2 x 2) F) (neg.f64 F))))
(fma.f64 (/.f64 (pow.f64 (fma.f64 2 x 2) 3) (pow.f64 F 5)) -1/16 (-.f64 (fma.f64 (/.f64 (pow.f64 (fma.f64 2 x 2) 2) (pow.f64 F 3)) 1/8 (/.f64 (+.f64 -1 (*.f64 x -1)) F)) F))
(fma.f64 (/.f64 (pow.f64 (fma.f64 2 x 2) 3) (pow.f64 F 5)) -1/16 (-.f64 (fma.f64 (/.f64 (pow.f64 (fma.f64 2 x 2) 2) (pow.f64 F 3)) 1/8 (/.f64 (+.f64 -1 (neg.f64 x)) F)) F))
(.f64 (sqrt.f64 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x)))) B)
(.f64 (sqrt.f64 (+.f64 (.f64 F F) (fma.f64 2 x 2))) B)
(*.f64 (sqrt.f64 (fma.f64 F F (fma.f64 2 x 2))) B)
(*.f64 (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2))) B)
(+.f64 (.f64 -1/6 (.f64 (pow.f64 B 3) (sqrt.f64 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x)))))) (.f64 (sqrt.f64 (+.f64 (pow.f64 F 2) (+.f64 2 (*.f64 2 x)))) B))
(fma.f64 -1/6 (.f64 (sqrt.f64 (+.f64 (.f64 F F) (fma.f64 2 x 2))) (pow.f64 B 3)) (.f64 (sqrt.f64 (+.f64 (.f64 F F) (fma.f64 2 x 2))) B))
(.f64 (sqrt.f64 (fma.f64 F F (fma.f64 2 x 2))) (+.f64 B (.f64 -1/6 (pow.f64 B 3))))
(.f64 (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2))) (+.f64 B (.f64 -1/6 (pow.f64 B 3))))
(+.f64 (.f64 1/120 (.f64 (pow.f64 B 5) (sqrt.f64 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x)))))) (+.f64 (.f64 -1/6 (.f64 (pow.f64 B 3) (sqrt.f64 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x)))))) (.f64 (sqrt.f64 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x)))) B)))
(fma.f64 1/120 (.f64 (sqrt.f64 (+.f64 (.f64 F F) (fma.f64 2 x 2))) (pow.f64 B 5)) (fma.f64 -1/6 (.f64 (sqrt.f64 (+.f64 (.f64 F F) (fma.f64 2 x 2))) (pow.f64 B 3)) (.f64 (sqrt.f64 (+.f64 (.f64 F F) (fma.f64 2 x 2))) B)))
(fma.f64 1/120 (.f64 (sqrt.f64 (fma.f64 F F (fma.f64 2 x 2))) (pow.f64 B 5)) (.f64 (sqrt.f64 (fma.f64 F F (fma.f64 2 x 2))) (+.f64 B (*.f64 -1/6 (pow.f64 B 3)))))
(.f64 (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2))) (+.f64 B (+.f64 (.f64 1/120 (pow.f64 B 5)) (*.f64 -1/6 (pow.f64 B 3)))))
(+.f64 (.f64 1/120 (.f64 (pow.f64 B 5) (sqrt.f64 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x)))))) (+.f64 (.f64 -1/6 (.f64 (pow.f64 B 3) (sqrt.f64 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x)))))) (+.f64 (.f64 -1/5040 (.f64 (pow.f64 B 7) (sqrt.f64 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x)))))) (.f64 (sqrt.f64 (+.f64 (pow.f64 F 2) (+.f64 2 (*.f64 2 x)))) B))))
(fma.f64 1/120 (.f64 (sqrt.f64 (+.f64 (.f64 F F) (fma.f64 2 x 2))) (pow.f64 B 5)) (fma.f64 -1/6 (.f64 (sqrt.f64 (+.f64 (.f64 F F) (fma.f64 2 x 2))) (pow.f64 B 3)) (fma.f64 -1/5040 (.f64 (sqrt.f64 (+.f64 (.f64 F F) (fma.f64 2 x 2))) (pow.f64 B 7)) (.f64 (sqrt.f64 (+.f64 (.f64 F F) (fma.f64 2 x 2))) B))))
(+.f64 (.f64 (sqrt.f64 (fma.f64 F F (fma.f64 2 x 2))) (+.f64 B (.f64 -1/5040 (pow.f64 B 7)))) (.f64 (sqrt.f64 (fma.f64 F F (fma.f64 2 x 2))) (+.f64 (.f64 1/120 (pow.f64 B 5)) (*.f64 -1/6 (pow.f64 B 3)))))
(.f64 (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2))) (+.f64 (+.f64 B (.f64 -1/5040 (pow.f64 B 7))) (+.f64 (.f64 1/120 (pow.f64 B 5)) (.f64 -1/6 (pow.f64 B 3)))))
(.f64 (sin.f64 B) (sqrt.f64 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x)))))
(.f64 (sqrt.f64 (+.f64 (.f64 F F) (fma.f64 2 x 2))) (sin.f64 B))
(*.f64 (sqrt.f64 (fma.f64 F F (fma.f64 2 x 2))) (sin.f64 B))
(*.f64 (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2))) (sin.f64 B))
(.f64 (sin.f64 B) (sqrt.f64 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x)))))
(.f64 (sqrt.f64 (+.f64 (.f64 F F) (fma.f64 2 x 2))) (sin.f64 B))
(*.f64 (sqrt.f64 (fma.f64 F F (fma.f64 2 x 2))) (sin.f64 B))
(*.f64 (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2))) (sin.f64 B))
(.f64 (sin.f64 B) (sqrt.f64 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x)))))
(.f64 (sqrt.f64 (+.f64 (.f64 F F) (fma.f64 2 x 2))) (sin.f64 B))
(*.f64 (sqrt.f64 (fma.f64 F F (fma.f64 2 x 2))) (sin.f64 B))
(*.f64 (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2))) (sin.f64 B))
(.f64 (sin.f64 B) (sqrt.f64 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x)))))
(.f64 (sqrt.f64 (+.f64 (.f64 F F) (fma.f64 2 x 2))) (sin.f64 B))
(*.f64 (sqrt.f64 (fma.f64 F F (fma.f64 2 x 2))) (sin.f64 B))
(*.f64 (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2))) (sin.f64 B))
(.f64 (sin.f64 B) (sqrt.f64 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x)))))
(.f64 (sqrt.f64 (+.f64 (.f64 F F) (fma.f64 2 x 2))) (sin.f64 B))
(*.f64 (sqrt.f64 (fma.f64 F F (fma.f64 2 x 2))) (sin.f64 B))
(*.f64 (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2))) (sin.f64 B))
(.f64 (sin.f64 B) (sqrt.f64 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x)))))
(.f64 (sqrt.f64 (+.f64 (.f64 F F) (fma.f64 2 x 2))) (sin.f64 B))
(*.f64 (sqrt.f64 (fma.f64 F F (fma.f64 2 x 2))) (sin.f64 B))
(*.f64 (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2))) (sin.f64 B))
(.f64 (sin.f64 B) (sqrt.f64 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x)))))
(.f64 (sqrt.f64 (+.f64 (.f64 F F) (fma.f64 2 x 2))) (sin.f64 B))
(*.f64 (sqrt.f64 (fma.f64 F F (fma.f64 2 x 2))) (sin.f64 B))
(*.f64 (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2))) (sin.f64 B))
(.f64 (sin.f64 B) (sqrt.f64 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x)))))
(.f64 (sqrt.f64 (+.f64 (.f64 F F) (fma.f64 2 x 2))) (sin.f64 B))
(*.f64 (sqrt.f64 (fma.f64 F F (fma.f64 2 x 2))) (sin.f64 B))
(*.f64 (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2))) (sin.f64 B))
(*.f64 (sin.f64 B) (sqrt.f64 (+.f64 (pow.f64 F 2) 2)))
(.f64 (sqrt.f64 (+.f64 2 (.f64 F F))) (sin.f64 B))
(*.f64 (sqrt.f64 (fma.f64 F F 2)) (sin.f64 B))
(+.f64 (.f64 (.f64 (sin.f64 B) x) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) 2)))) (*.f64 (sin.f64 B) (sqrt.f64 (+.f64 (pow.f64 F 2) 2))))
(fma.f64 (.f64 x (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 2 (.f64 F F)))) (.f64 (sqrt.f64 (+.f64 2 (.f64 F F))) (sin.f64 B)))
(*.f64 (sin.f64 B) (fma.f64 (sqrt.f64 (/.f64 1 (fma.f64 F F 2))) x (sqrt.f64 (fma.f64 F F 2))))
(+.f64 (.f64 -1/2 (.f64 (.f64 (sin.f64 B) (pow.f64 x 2)) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) 2) 3))))) (+.f64 (.f64 (.f64 (sin.f64 B) x) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) 2)))) (.f64 (sin.f64 B) (sqrt.f64 (+.f64 (pow.f64 F 2) 2)))))
(fma.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 2 (.f64 F F)) 3))) (.f64 (.f64 x x) (sin.f64 B))) (fma.f64 (.f64 x (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 2 (.f64 F F)))) (.f64 (sqrt.f64 (+.f64 2 (.f64 F F))) (sin.f64 B))))
(fma.f64 (.f64 (.f64 -1/2 (sin.f64 B)) (.f64 x x)) (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 F F 2) 3))) (.f64 (sin.f64 B) (fma.f64 (sqrt.f64 (/.f64 1 (fma.f64 F F 2))) x (sqrt.f64 (fma.f64 F F 2)))))
(.f64 (sin.f64 B) (+.f64 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 F F 2) 3))) (.f64 -1/2 (.f64 x x))) (fma.f64 (sqrt.f64 (/.f64 1 (fma.f64 F F 2))) x (sqrt.f64 (fma.f64 F F 2)))))
(+.f64 (.f64 1/2 (.f64 (.f64 (sin.f64 B) (pow.f64 x 3)) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) 2) 5))))) (+.f64 (.f64 -1/2 (.f64 (.f64 (sin.f64 B) (pow.f64 x 2)) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) 2) 3))))) (+.f64 (.f64 (.f64 (sin.f64 B) x) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) 2)))) (*.f64 (sin.f64 B) (sqrt.f64 (+.f64 (pow.f64 F 2) 2))))))
(fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 2 (.f64 F F)) 5))) (.f64 (pow.f64 x 3) (sin.f64 B))) (fma.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 2 (.f64 F F)) 3))) (.f64 (.f64 x x) (sin.f64 B))) (fma.f64 (.f64 x (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 2 (.f64 F F)))) (.f64 (sqrt.f64 (+.f64 2 (*.f64 F F))) (sin.f64 B)))))
(fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 F F 2) 5))) (.f64 (pow.f64 x 3) (sin.f64 B))) (fma.f64 (.f64 (.f64 -1/2 (sin.f64 B)) (.f64 x x)) (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 F F 2) 3))) (.f64 (sin.f64 B) (fma.f64 (sqrt.f64 (/.f64 1 (fma.f64 F F 2))) x (sqrt.f64 (fma.f64 F F 2))))))
(+.f64 (.f64 (sin.f64 B) (fma.f64 (sqrt.f64 (/.f64 1 (fma.f64 F F 2))) x (sqrt.f64 (fma.f64 F F 2)))) (.f64 (sin.f64 B) (fma.f64 (.f64 1/2 (pow.f64 x 3)) (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 F F 2) 5))) (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 F F 2) 3))) (.f64 -1/2 (.f64 x x))))))
(.f64 (sin.f64 B) (sqrt.f64 (+.f64 (.f64 2 x) 2)))
(*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 2 x 2)))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 2 (.f64 2 x)))) (.f64 (sin.f64 B) (pow.f64 F 2)))) (.f64 (sin.f64 B) (sqrt.f64 (+.f64 (.f64 2 x) 2))))
(fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 x 2))) (.f64 (.f64 F F) (sin.f64 B))) (.f64 (sin.f64 B) (sqrt.f64 (fma.f64 2 x 2))))
(fma.f64 1/2 (.f64 (.f64 F F) (.f64 (sin.f64 B) (sqrt.f64 (/.f64 1 (fma.f64 2 x 2))))) (.f64 (sin.f64 B) (sqrt.f64 (fma.f64 2 x 2))))
(.f64 (sin.f64 B) (fma.f64 1/2 (.f64 (*.f64 F F) (sqrt.f64 (/.f64 1 (fma.f64 2 x 2)))) (sqrt.f64 (fma.f64 2 x 2))))
(+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (+.f64 2 (.f64 2 x)))) (/.f64 (.f64 (sin.f64 B) (pow.f64 F 4)) (+.f64 (.f64 2 x) 2)))) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 2 (.f64 2 x)))) (.f64 (sin.f64 B) (pow.f64 F 2)))) (.f64 (sin.f64 B) (sqrt.f64 (+.f64 (*.f64 2 x) 2)))))
(fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 x 2))) (/.f64 (sin.f64 B) (/.f64 (fma.f64 2 x 2) (pow.f64 F 4)))) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 x 2))) (.f64 (.f64 F F) (sin.f64 B))) (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 2 x 2)))))
(fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 x 2))) (/.f64 (pow.f64 F 4) (/.f64 (fma.f64 2 x 2) (sin.f64 B)))) (fma.f64 1/2 (.f64 (.f64 F F) (.f64 (sin.f64 B) (sqrt.f64 (/.f64 1 (fma.f64 2 x 2))))) (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 2 x 2)))))
(+.f64 (.f64 (sin.f64 B) (sqrt.f64 (fma.f64 2 x 2))) (.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 x 2))) (+.f64 (.f64 1/2 (.f64 F (.f64 F (sin.f64 B)))) (.f64 -1/8 (*.f64 (/.f64 (pow.f64 F 4) (fma.f64 2 x 2)) (sin.f64 B))))))
(+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (+.f64 2 (.f64 2 x)))) (/.f64 (.f64 (sin.f64 B) (pow.f64 F 4)) (+.f64 (.f64 2 x) 2)))) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 2 (.f64 2 x)))) (.f64 (sin.f64 B) (pow.f64 F 2)))) (+.f64 (.f64 (sin.f64 B) (sqrt.f64 (+.f64 (.f64 2 x) 2))) (.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 2 (.f64 2 x)) 3))) (/.f64 (.f64 (sin.f64 B) (pow.f64 F 6)) (+.f64 (.f64 2 x) 2)))))))
(fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 x 2))) (/.f64 (sin.f64 B) (/.f64 (fma.f64 2 x 2) (pow.f64 F 4)))) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 x 2))) (.f64 (.f64 F F) (sin.f64 B))) (fma.f64 (sin.f64 B) (sqrt.f64 (fma.f64 2 x 2)) (.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 2 x 2) 3))) (/.f64 (sin.f64 B) (/.f64 (fma.f64 2 x 2) (pow.f64 F 6))))))))
(fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 x 2))) (/.f64 (pow.f64 F 4) (/.f64 (fma.f64 2 x 2) (sin.f64 B)))) (fma.f64 1/2 (.f64 (.f64 F F) (.f64 (sin.f64 B) (sqrt.f64 (/.f64 1 (fma.f64 2 x 2))))) (fma.f64 (sin.f64 B) (sqrt.f64 (fma.f64 2 x 2)) (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 2 x 2) 3))) (.f64 (*.f64 (/.f64 (sin.f64 B) (fma.f64 2 x 2)) (pow.f64 F 6)) 1/16)))))
(+.f64 (fma.f64 (sin.f64 B) (sqrt.f64 (fma.f64 2 x 2)) (.f64 (/.f64 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 2 x 2) 3))) (.f64 (pow.f64 F 6) (sin.f64 B))) (+.f64 x 1)) 1/32)) (.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 x 2))) (+.f64 (.f64 1/2 (.f64 F (.f64 F (sin.f64 B)))) (.f64 -1/8 (*.f64 (/.f64 (pow.f64 F 4) (fma.f64 2 x 2)) (sin.f64 B))))))
(*.f64 (sin.f64 B) F)
(*.f64 F (sin.f64 B))
(+.f64 (.f64 (sin.f64 B) F) (.f64 1/2 (/.f64 (.f64 (+.f64 2 (.f64 2 x)) (sin.f64 B)) F)))
(fma.f64 (sin.f64 B) F (/.f64 (.f64 1/2 (.f64 (fma.f64 2 x 2) (sin.f64 B))) F))
(fma.f64 F (sin.f64 B) (.f64 1/2 (.f64 (/.f64 (fma.f64 2 x 2) F) (sin.f64 B))))
(fma.f64 F (sin.f64 B) (.f64 (/.f64 1/2 F) (.f64 (fma.f64 2 x 2) (sin.f64 B))))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (sin.f64 B) (pow.f64 (+.f64 (.f64 2 x) 2) 2)) (pow.f64 F 3))) (+.f64 (.f64 (sin.f64 B) F) (.f64 1/2 (/.f64 (.f64 (+.f64 2 (*.f64 2 x)) (sin.f64 B)) F))))
(fma.f64 -1/8 (/.f64 (sin.f64 B) (/.f64 (pow.f64 F 3) (pow.f64 (fma.f64 2 x 2) 2))) (fma.f64 (sin.f64 B) F (/.f64 (.f64 1/2 (.f64 (fma.f64 2 x 2) (sin.f64 B))) F)))
(fma.f64 -1/8 (.f64 (/.f64 (sin.f64 B) (pow.f64 F 3)) (pow.f64 (fma.f64 2 x 2) 2)) (fma.f64 F (sin.f64 B) (.f64 1/2 (*.f64 (/.f64 (fma.f64 2 x 2) F) (sin.f64 B)))))
(fma.f64 -1/8 (.f64 (/.f64 (pow.f64 (fma.f64 2 x 2) 2) (pow.f64 F 3)) (sin.f64 B)) (fma.f64 F (sin.f64 B) (.f64 (/.f64 1/2 F) (*.f64 (fma.f64 2 x 2) (sin.f64 B)))))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (sin.f64 B) (pow.f64 (+.f64 (.f64 2 x) 2) 2)) (pow.f64 F 3))) (+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 (+.f64 2 (.f64 2 x)) 2) (.f64 (sin.f64 B) (+.f64 (.f64 2 x) 2))) (pow.f64 F 5))) (+.f64 (.f64 (sin.f64 B) F) (.f64 1/2 (/.f64 (.f64 (+.f64 2 (.f64 2 x)) (sin.f64 B)) F)))))
(fma.f64 -1/8 (/.f64 (sin.f64 B) (/.f64 (pow.f64 F 3) (pow.f64 (fma.f64 2 x 2) 2))) (fma.f64 1/16 (/.f64 (pow.f64 (fma.f64 2 x 2) 2) (/.f64 (pow.f64 F 5) (.f64 (fma.f64 2 x 2) (sin.f64 B)))) (fma.f64 (sin.f64 B) F (/.f64 (.f64 1/2 (*.f64 (fma.f64 2 x 2) (sin.f64 B))) F))))
(fma.f64 -1/8 (.f64 (/.f64 (sin.f64 B) (pow.f64 F 3)) (pow.f64 (fma.f64 2 x 2) 2)) (fma.f64 1/16 (/.f64 (.f64 (pow.f64 (fma.f64 2 x 2) 3) (sin.f64 B)) (pow.f64 F 5)) (fma.f64 F (sin.f64 B) (.f64 1/2 (.f64 (/.f64 (fma.f64 2 x 2) F) (sin.f64 B))))))
(fma.f64 -1/8 (.f64 (/.f64 (pow.f64 (fma.f64 2 x 2) 2) (pow.f64 F 3)) (sin.f64 B)) (fma.f64 1/16 (.f64 (/.f64 (pow.f64 (fma.f64 2 x 2) 3) (pow.f64 F 5)) (sin.f64 B)) (fma.f64 F (sin.f64 B) (.f64 (/.f64 1/2 F) (.f64 (fma.f64 2 x 2) (sin.f64 B))))))
(.f64 -1 (.f64 (sin.f64 B) F))
(neg.f64 (*.f64 F (sin.f64 B)))
(*.f64 F (neg.f64 (sin.f64 B)))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (+.f64 2 (.f64 2 x)) (sin.f64 B)) F)) (.f64 -1 (*.f64 (sin.f64 B) F)))
(fma.f64 -1/2 (/.f64 (fma.f64 2 x 2) (/.f64 F (sin.f64 B))) (neg.f64 (*.f64 F (sin.f64 B))))
(-.f64 (/.f64 (+.f64 -1 (.f64 x -1)) (/.f64 F (sin.f64 B))) (.f64 F (sin.f64 B)))
(-.f64 (/.f64 (+.f64 -1 (neg.f64 x)) (/.f64 F (sin.f64 B))) (*.f64 F (sin.f64 B)))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (+.f64 2 (.f64 2 x)) (sin.f64 B)) F)) (+.f64 (.f64 -1 (.f64 (sin.f64 B) F)) (.f64 1/8 (/.f64 (.f64 (sin.f64 B) (pow.f64 (+.f64 (.f64 2 x) 2) 2)) (pow.f64 F 3)))))
(fma.f64 -1/2 (/.f64 (fma.f64 2 x 2) (/.f64 F (sin.f64 B))) (fma.f64 -1 (.f64 F (sin.f64 B)) (.f64 1/8 (/.f64 (sin.f64 B) (/.f64 (pow.f64 F 3) (pow.f64 (fma.f64 2 x 2) 2))))))
(fma.f64 -1/2 (.f64 (/.f64 (fma.f64 2 x 2) F) (sin.f64 B)) (fma.f64 1/8 (.f64 (/.f64 (sin.f64 B) (pow.f64 F 3)) (pow.f64 (fma.f64 2 x 2) 2)) (*.f64 F (neg.f64 (sin.f64 B)))))
(+.f64 (/.f64 (+.f64 -1 (neg.f64 x)) (/.f64 F (sin.f64 B))) (-.f64 (.f64 (/.f64 (.f64 1/8 (sin.f64 B)) (pow.f64 F 3)) (pow.f64 (fma.f64 2 x 2) 2)) (*.f64 F (sin.f64 B))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (+.f64 2 (.f64 2 x)) (sin.f64 B)) F)) (+.f64 (.f64 -1 (.f64 (sin.f64 B) F)) (+.f64 (.f64 -1/16 (/.f64 (.f64 (pow.f64 (+.f64 2 (.f64 2 x)) 2) (.f64 (sin.f64 B) (+.f64 (.f64 2 x) 2))) (pow.f64 F 5))) (.f64 1/8 (/.f64 (.f64 (sin.f64 B) (pow.f64 (+.f64 (*.f64 2 x) 2) 2)) (pow.f64 F 3))))))
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(+.f64 (.f64 (/.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x)))))) (+.f64 (.f64 1/6 (.f64 (.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x))))))) (+.f64 (.f64 -1 (.f64 (.f64 (+.f64 (.f64 1/6 (+.f64 (.f64 1/120 F) (.f64 -1/36 F))) (+.f64 (.f64 1/720 F) (.f64 -1/5040 F))) (pow.f64 B 5)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x))))))) (.f64 -1 (.f64 (.f64 (+.f64 (.f64 1/120 F) (.f64 -1/36 F)) (pow.f64 B 3)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (*.f64 2 x))))))))))
(fma.f64 (/.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 (.f64 F F) (fma.f64 2 x 2)))) (fma.f64 1/6 (.f64 F (.f64 B (sqrt.f64 (/.f64 1 (+.f64 (.f64 F F) (fma.f64 2 x 2)))))) (.f64 -1 (+.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 F F) (fma.f64 2 x 2)))) (.f64 (pow.f64 B 5) (fma.f64 1/6 (.f64 F -7/360) (.f64 F 1/840)))) (.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 F F) (fma.f64 2 x 2)))) (.f64 (pow.f64 B 3) (.f64 F -7/360)))))))
(+.f64 (neg.f64 (.f64 (sqrt.f64 (/.f64 1 (fma.f64 F F (fma.f64 2 x 2)))) (+.f64 (.f64 (pow.f64 B 5) (fma.f64 F 1/840 (.f64 F -7/2160))) (.f64 F (.f64 -7/360 (pow.f64 B 3)))))) (.f64 (sqrt.f64 (/.f64 1 (fma.f64 F F (fma.f64 2 x 2)))) (+.f64 (/.f64 F B) (.f64 1/6 (.f64 F B)))))
(.f64 (sqrt.f64 (/.f64 1 (fma.f64 F F (fma.f64 2 x 2)))) (+.f64 (-.f64 (.f64 (pow.f64 B 3) (.f64 F 7/360)) (.f64 (pow.f64 B 5) (.f64 F -31/15120))) (+.f64 (/.f64 F B) (.f64 1/6 (*.f64 F B)))))
(.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x))))))
(.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (.f64 F F) (fma.f64 2 x 2)))))
(*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (fma.f64 F F (fma.f64 2 x 2)))))
(.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x))))))
(.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (.f64 F F) (fma.f64 2 x 2)))))
(*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (fma.f64 F F (fma.f64 2 x 2)))))
(.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x))))))
(.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (.f64 F F) (fma.f64 2 x 2)))))
(*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (fma.f64 F F (fma.f64 2 x 2)))))
(.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x))))))
(.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (.f64 F F) (fma.f64 2 x 2)))))
(*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (fma.f64 F F (fma.f64 2 x 2)))))
(.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x))))))
(.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (.f64 F F) (fma.f64 2 x 2)))))
(*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (fma.f64 F F (fma.f64 2 x 2)))))
(.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x))))))
(.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (.f64 F F) (fma.f64 2 x 2)))))
(*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (fma.f64 F F (fma.f64 2 x 2)))))
(.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x))))))
(.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (.f64 F F) (fma.f64 2 x 2)))))
(*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (fma.f64 F F (fma.f64 2 x 2)))))
(.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x))))))
(.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (.f64 F F) (fma.f64 2 x 2)))))
(*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (fma.f64 F F (fma.f64 2 x 2)))))
(*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) 2))))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 2 (.f64 F F)))) (/.f64 F (sin.f64 B)))
(*.f64 (sqrt.f64 (/.f64 1 (fma.f64 F F 2))) (/.f64 F (sin.f64 B)))
(+.f64 (.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) 2)))) (.f64 -1 (.f64 (/.f64 (.f64 F x) (sin.f64 B)) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) 2) 3))))))
(fma.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 2 (.f64 F F)))) (neg.f64 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 2 (*.f64 F F)) 3))) (/.f64 F (/.f64 (sin.f64 B) x)))))
(fma.f64 (sqrt.f64 (/.f64 1 (fma.f64 F F 2))) (/.f64 F (sin.f64 B)) (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 F F 2) 3))) (/.f64 (neg.f64 F) (/.f64 (sin.f64 B) x))))
(fma.f64 (sqrt.f64 (/.f64 1 (fma.f64 F F 2))) (/.f64 F (sin.f64 B)) (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 F F 2) 3))) (.f64 (/.f64 F (sin.f64 B)) (neg.f64 x))))
(+.f64 (.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) 2)))) (+.f64 (.f64 1/2 (.f64 (/.f64 (.f64 F (.f64 (-.f64 (.f64 4 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) 2) 3))) (pow.f64 (.f64 -1 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) 2) 3)))) 2)) (pow.f64 x 2))) (sin.f64 B)) (sqrt.f64 (+.f64 (pow.f64 F 2) 2)))) (.f64 -1 (.f64 (/.f64 (.f64 F x) (sin.f64 B)) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) 2) 3)))))))
(fma.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 2 (.f64 F F)))) (fma.f64 1/2 (.f64 (sqrt.f64 (+.f64 2 (.f64 F F))) (/.f64 F (/.f64 (sin.f64 B) (.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)))))) (neg.f64 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 2 (*.f64 F F)) 3))) (/.f64 F (/.f64 (sin.f64 B) x))))))
(-.f64 (fma.f64 (sqrt.f64 (/.f64 1 (fma.f64 F F 2))) (/.f64 F (sin.f64 B)) (.f64 1/2 (/.f64 (.f64 F (sqrt.f64 (fma.f64 F F 2))) (/.f64 (/.f64 (sin.f64 B) (.f64 x x)) (-.f64 (/.f64 4 (pow.f64 (fma.f64 F F 2) 3)) (pow.f64 (neg.f64 (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 F F 2) 3)))) 2)))))) (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 F F 2) 3))) (*.f64 (/.f64 F (sin.f64 B)) x)))
(-.f64 (fma.f64 (sqrt.f64 (/.f64 1 (fma.f64 F F 2))) (/.f64 F (sin.f64 B)) (.f64 (sqrt.f64 (fma.f64 F F 2)) (.f64 (/.f64 (.f64 1/2 F) (/.f64 (sin.f64 B) (.f64 x x))) (-.f64 (/.f64 4 (pow.f64 (fma.f64 F F 2) 3)) (/.f64 1 (pow.f64 (fma.f64 F F 2) 3)))))) (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 F F 2) 3))) (.f64 (/.f64 F (sin.f64 B)) x)))
(+.f64 (.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) 2)))) (+.f64 (.f64 1/2 (.f64 (/.f64 (.f64 F (.f64 (-.f64 (.f64 4 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) 2) 3))) (pow.f64 (.f64 -1 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) 2) 3)))) 2)) (pow.f64 x 2))) (sin.f64 B)) (sqrt.f64 (+.f64 (pow.f64 F 2) 2)))) (+.f64 (.f64 -1 (.f64 (/.f64 (.f64 F x) (sin.f64 B)) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) 2) 3))))) (.f64 -1/2 (.f64 (/.f64 (.f64 F (.f64 (+.f64 (.f64 8 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) 2) 4))) (.f64 -1 (/.f64 (-.f64 (.f64 4 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) 2) 3))) (pow.f64 (.f64 -1 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) 2) 3)))) 2)) (+.f64 (pow.f64 F 2) 2)))) (pow.f64 x 3))) (sin.f64 B)) (sqrt.f64 (+.f64 (pow.f64 F 2) 2)))))))
(fma.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 2 (.f64 F F)))) (fma.f64 1/2 (.f64 (sqrt.f64 (+.f64 2 (.f64 F F))) (/.f64 F (/.f64 (sin.f64 B) (.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)))))) (fma.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 2 (.f64 F F)) 3))) (/.f64 F (/.f64 (sin.f64 B) x))) (.f64 -1/2 (/.f64 (.f64 (.f64 (.f64 F (+.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)) (sqrt.f64 (+.f64 2 (.f64 F F)))) (sin.f64 B))))))
(fma.f64 (sqrt.f64 (/.f64 1 (fma.f64 F F 2))) (/.f64 F (sin.f64 B)) (fma.f64 1/2 (/.f64 (.f64 F (sqrt.f64 (fma.f64 F F 2))) (/.f64 (/.f64 (sin.f64 B) (.f64 x x)) (-.f64 (/.f64 4 (pow.f64 (fma.f64 F F 2) 3)) (pow.f64 (neg.f64 (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 F F 2) 3)))) 2)))) (-.f64 (.f64 -1/2 (.f64 (sqrt.f64 (fma.f64 F F 2)) (.f64 (/.f64 F (sin.f64 B)) (.f64 (pow.f64 x 3) (-.f64 (/.f64 8 (pow.f64 (fma.f64 F F 2) 4)) (/.f64 (-.f64 (/.f64 4 (pow.f64 (fma.f64 F F 2) 3)) (pow.f64 (neg.f64 (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 F F 2) 3)))) 2)) (fma.f64 F F 2))))))) (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 F F 2) 3))) (.f64 (/.f64 F (sin.f64 B)) x)))))
(fma.f64 (sqrt.f64 (/.f64 1 (fma.f64 F F 2))) (/.f64 F (sin.f64 B)) (-.f64 (.f64 (sqrt.f64 (fma.f64 F F 2)) (+.f64 (.f64 (/.f64 (.f64 1/2 F) (/.f64 (sin.f64 B) (.f64 x x))) (-.f64 (/.f64 4 (pow.f64 (fma.f64 F F 2) 3)) (/.f64 1 (pow.f64 (fma.f64 F F 2) 3)))) (.f64 (/.f64 (.f64 -1/2 F) (sin.f64 B)) (.f64 (pow.f64 x 3) (-.f64 (/.f64 8 (pow.f64 (fma.f64 F F 2) 4)) (/.f64 (-.f64 (/.f64 4 (pow.f64 (fma.f64 F F 2) 3)) (/.f64 1 (pow.f64 (fma.f64 F F 2) 3))) (fma.f64 F F 2))))))) (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 F F 2) 3))) (*.f64 (/.f64 F (sin.f64 B)) x))))

prune1.0s (9.5%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	275	3	278
Fresh	4	7	11
Picked	1	0	1
Done	1	0	1
Total	281	10	291

Error

0.0b

Counts

291 → 10

Alt Table

Status	Error	Program
	10.5b	(-.f64 (/.f64 (*.f64 F (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)) (sin.f64 B)) (pow.f64 (/.f64 (tan.f64 B) x) -1))
	29.7b	(-.f64 (/.f64 (*.f64 F (/.f64 1 F)) (sin.f64 B)) (/.f64 x (tan.f64 B)))
	4.2b	(-.f64 (.f64 1 (/.f64 F (.f64 (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2))) (sin.f64 B)))) (/.f64 x (tan.f64 B)))
	44.9b	(-.f64 (/.f64 (.f64 F (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)) (sin.f64 B)) (.f64 (/.f64 (cbrt.f64 (*.f64 x x)) (sqrt.f64 (tan.f64 B))) (/.f64 (cbrt.f64 x) (sqrt.f64 (tan.f64 B)))))
	10.5b	(-.f64 (.f64 1 (/.f64 F (.f64 (sin.f64 B) (pow.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) 1/4) 2)))) (/.f64 x (tan.f64 B)))
	10.4b	(-.f64 (/.f64 (.f64 F (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)) (sin.f64 B)) (.f64 (/.f64 x (sin.f64 B)) (cos.f64 B)))
	10.9b	(-.f64 (/.f64 (*.f64 F (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)) (sin.f64 B)) (pow.f64 (cbrt.f64 (/.f64 x (tan.f64 B))) 3))
	10.5b	(-.f64 (/.f64 (.f64 F (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)) (sin.f64 B)) (.f64 x (/.f64 1 (tan.f64 B))))
	31.1b	(-.f64 (/.f64 -1 (sin.f64 B)) (/.f64 x (tan.f64 B)))
	14.5b	(-.f64 (*.f64 1 (+.f64 0 (/.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (fma.f64 x 2 (fma.f64 F F 2)))))) (/.f64 x (tan.f64 B)))

Compiler

Compiled 9430 to 5805 computations (38.4% saved)

regimes173.0ms (1.6%)

Accuracy

Total -60.6b remaining (-34496.2%)

Threshold costs -60.6b (-34496.2%)

Counts

30 → 3

Calls

Call 1

Inputs
(-.f64 (.f64 1 (/.f64 F (.f64 (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2))) (sin.f64 B)))) (/.f64 x (tan.f64 B)))
(-.f64 (.f64 1 (/.f64 F (.f64 (sin.f64 B) (pow.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) 1/4) 2)))) (/.f64 x (tan.f64 B)))
(-.f64 (*.f64 1 (+.f64 0 (/.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (fma.f64 x 2 (fma.f64 F F 2)))))) (/.f64 x (tan.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))
(-.f64 (/.f64 (*.f64 F (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)) (sin.f64 B)) (pow.f64 (cbrt.f64 (/.f64 x (tan.f64 B))) 3))
(-.f64 (.f64 (/.f64 1 (sin.f64 B)) (.f64 F (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2))) (/.f64 x (tan.f64 B)))
(-.f64 (/.f64 (.f64 F (.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/4) (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/4))) (sin.f64 B)) (/.f64 x (tan.f64 B)))
(-.f64 (/.f64 (*.f64 F (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)) (sin.f64 B)) (pow.f64 (/.f64 (tan.f64 B) x) -1))
(-.f64 (/.f64 (*.f64 F (/.f64 1 F)) (sin.f64 B)) (/.f64 x (tan.f64 B)))
(-.f64 (/.f64 (.f64 F (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)) (sin.f64 B)) (.f64 (/.f64 (cbrt.f64 (*.f64 x x)) (sqrt.f64 (tan.f64 B))) (/.f64 (cbrt.f64 x) (sqrt.f64 (tan.f64 B)))))
(-.f64 (/.f64 (.f64 F (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)) (sin.f64 B)) (.f64 x (/.f64 1 (tan.f64 B))))
(-.f64 (/.f64 -1 (sin.f64 B)) (/.f64 x (tan.f64 B)))
(-.f64 (/.f64 (.f64 F (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)) (sin.f64 B)) (.f64 (/.f64 x (sin.f64 B)) (cos.f64 B)))
(-.f64 (.f64 1 (/.f64 F (.f64 (sin.f64 B) (sqrt.f64 (fma.f64 x 2 (fma.f64 F F 2)))))) (/.f64 x (tan.f64 B)))
(-.f64 (.f64 F (/.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2) (sin.f64 B))) (.f64 x (/.f64 1 (tan.f64 B))))
(-.f64 (.f64 F (/.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2) (sin.f64 B))) (.f64 (/.f64 x (sin.f64 B)) (cos.f64 B)))
(-.f64 (/.f64 -1 (sin.f64 B)) (/.f64 x (tan.f64 B)))
(-.f64 (/.f64 (/.f64 (*.f64 F (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)) (pow.f64 (cbrt.f64 (sin.f64 B)) 2)) (cbrt.f64 (sin.f64 B))) (/.f64 x (tan.f64 B)))
(-.f64 (.f64 F (/.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2) (sin.f64 B))) (.f64 (/.f64 (cbrt.f64 (*.f64 x x)) (sqrt.f64 (tan.f64 B))) (/.f64 (cbrt.f64 x) (sqrt.f64 (tan.f64 B)))))
(-.f64 (/.f64 F (/.f64 (sin.f64 B) (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2))) (/.f64 x (tan.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))
(-.f64 (*.f64 F (/.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2) (sin.f64 B))) (pow.f64 (/.f64 (tan.f64 B) x) -1))
(-.f64 (*.f64 F (/.f64 (/.f64 1 F) (sin.f64 B))) (/.f64 x (tan.f64 B)))
(-.f64 (*.f64 F (/.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2) (sin.f64 B))) (pow.f64 (cbrt.f64 (/.f64 x (tan.f64 B))) 3))
(-.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)))
(-.f64 (pow.f64 (cbrt.f64 (/.f64 F (/.f64 (sin.f64 B) (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)))) 3) (/.f64 x (tan.f64 B)))
(-.f64 (.f64 F (/.f64 (.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/4) (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/4)) (sin.f64 B))) (/.f64 x (tan.f64 B)))
(-.f64 (.f64 F (/.f64 -1 (.f64 (sin.f64 B) F))) (/.f64 x (tan.f64 B)))
(-.f64 (*.f64 F (/.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2) (sin.f64 B))) (/.f64 x (tan.f64 B)))
(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (.f64 F F) 2) (.f64 2 x)) (neg.f64 (/.f64 1 2)))))

Outputs

(-.f64 (/.f64 -1 (sin.f64 B)) (/.f64 x (tan.f64 B)))

(-.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)))

(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))

Results

39.0ms	0.2b	`F`
38.0ms	3.1b	`B`
28.0ms	0.4b	`x`
52.0ms	0.9b	`(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (.f64 F F) 2) (.f64 2 x)) (neg.f64 (/.f64 1 2)))))`

Compiler

Compiled 647 to 338 computations (47.8% saved)

bsearch268.0ms (2.4%)

Algorithm

2×	binary-search

Calls

2 calls:

136.0ms	F
131.0ms	F

Steps

Iters	Point		Range
354.2425957352531	∈ [	354.2425957352531	,	333535111.2703783	]
-1.0514161882821268e+79	∈ [	-1.0514161882821268e+79	,	-4.894251565234721e+77	]

Compiler

Compiled 36 to 28 computations (22.2% saved)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	68
1	35	68
2	42	68
3	46	68
4	49	68
5	50	68

Stop Event

1×

saturated

Calls

Call 1

Inputs

(if (<=.f64 F -10514161882821268100036233677639171165675602029519401995448048862909786914553856) (-.f64 (/.f64 -1 (sin.f64 B)) (/.f64 x (tan.f64 B))) (if (<=.f64 F 3115950824515709/8796093022208) (-.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))) (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))))

Outputs

(if (<=.f64 F -10514161882821268100036233677639171165675602029519401995448048862909786914553856) (-.f64 (/.f64 -1 (sin.f64 B)) (/.f64 x (tan.f64 B))) (if (<=.f64 F 3115950824515709/8796093022208) (-.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))) (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))))

end28.0ms (0.3%)

Stop Event

1×

fuel

Compiler

Compiled 96 to 54 computations (43.8% saved)

Details

analyze687.0ms (6.2%)

sample5.4s (49.1%)

preprocess64.0ms (0.6%)

simplify57.0ms (0.5%)

prune5.0ms (0%)

localize18.0ms (0.2%)

series48.0ms (0.4%)

rewrite78.0ms (0.7%)

simplify105.0ms (1%)

prune928.0ms (8.4%)

localize15.0ms (0.1%)

series28.0ms (0.3%)

rewrite56.0ms (0.5%)

simplify64.0ms (0.6%)

prune882.0ms (8%)

localize18.0ms (0.2%)

series5.0ms (0%)

rewrite55.0ms (0.5%)

simplify49.0ms (0.4%)

prune746.0ms (6.8%)

localize15.0ms (0.1%)

series18.0ms (0.2%)

rewrite72.0ms (0.7%)

simplify71.0ms (0.6%)

prune1.0s (9.5%)

regimes173.0ms (1.6%)

bsearch268.0ms (2.4%)

simplify4.0ms (0%)

end28.0ms (0.3%)

Profiling