Details

analyze677.0ms (1.3%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
0%	0%	99.9%	0.1%	0%	0%	0%	4
0%	0%	99.9%	0.1%	0%	0%	0%	5
0%	0%	99.9%	0.1%	0%	0%	0%	6
0%	0%	99.9%	0.1%	0%	0%	0%	7
0%	0%	93.6%	0.1%	0%	6.2%	0%	8
6.7%	6.2%	87.4%	0.1%	0%	6.2%	0%	9
12.1%	10.9%	79.6%	0.1%	0%	9.4%	0%	10
15.6%	13.7%	73.7%	0.1%	0%	12.5%	0%	11
20.5%	17.7%	68.8%	0.1%	0.8%	12.5%	0%	12

Compiler

Compiled 31 to 24 computations (22.6% saved)

sample4.0s (7.9%)

Results

1.7s	2288×	body	1024	valid
1.4s	4799×	body	256	valid
552.0ms	1164×	body	512	valid
217.0ms	831×	body	256	infinite
70.0ms	339×	body	256	invalid
6.0ms	5×	body	2048	valid
1.0ms	2×	body	1024	infinite

Bogosity

preprocess84.0ms (0.2%)

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	347	112
3	815	112
4	2102	112
5	4853	112
6	6810	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)))
(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 (/.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 x (neg.f64 (/.f64 1 (tan.f64 F)))) (.f64 (/.f64 B (sin.f64 F)) (pow.f64 (+.f64 (*.f64 x 2) (fma.f64 B B 2)) -1/2)))
(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 (/.f64 B (sin.f64 F)) (pow.f64 (fma.f64 x 2 (fma.f64 B B 2)) -1/2)) (/.f64 x (tan.f64 F)))
(+.f64 (neg.f64 (.f64 F (/.f64 1 (tan.f64 B)))) (.f64 (/.f64 x (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (.f64 x x) 2) (.f64 2 F)) (neg.f64 (/.f64 1 2)))))
(+.f64 (.f64 (neg.f64 F) (/.f64 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 (*.f64 (/.f64 (pow.f64 (fma.f64 x x (fma.f64 F 2 2)) -1/2) (sin.f64 B)) x) (/.f64 F (tan.f64 B)))
(-.f64 (*.f64 x (/.f64 (pow.f64 (fma.f64 x x (fma.f64 F 2 2)) -1/2) (sin.f64 B))) (/.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 (.f64 B (neg.f64 (/.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 33 to 26 computations (21.2% saved)

simplify64.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

639×	`distribute-rgt-neg-in_binary64`
586×	`div-sub_binary64`
474×	`fma-neg_binary64`
426×	`distribute-lft-neg-in_binary64`
381×	`distribute-neg-frac_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	23	35
1	49	28
2	107	28
3	218	28
4	503	28
5	1505	28
6	3924	28
7	6363	28
8	7670	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 (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)))
(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)))

eval1.0ms (0%)

Compiler: Compiled 49 to 32 computations (34.7% saved)

prune2.0ms (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

13.7b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	13.7b	(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)))
▶	13.8b	(+.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

▶

13.7b

(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)))

▶

13.8b

(+.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 52 to 38 computations (26.9% saved)

localize53.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 1 (tan.f64 B))
✓	0.3b	(*.f64 x (/.f64 1 (tan.f64 B)))
✓	7.8b	(.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (.f64 F F) 2) (*.f64 2 x)) (neg.f64 (/.f64 1 2))))
✓	15.9b	(pow.f64 (+.f64 (+.f64 (.f64 F F) 2) (.f64 2 x)) (neg.f64 (/.f64 1 2)))

Compiler

Compiled 120 to 71 computations (40.8% saved)

series35.0ms (0.1%)

Counts

4 → 88

Calls

24 calls:

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

rewrite76.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

428×	`fma-def_binary64`
351×	`expm1-udef_binary64`
351×	`log1p-udef_binary64`
295×	`log-pow_binary64`
250×	`fma-neg_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	21	48
1	419	44
2	5402	44

Stop Event

1×	node limit

Counts

4 → 92

Calls

Call 1

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

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

simplify79.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

779×	`distribute-rgt-in_binary64`
606×	`times-frac_binary64`
350×	`fma-def_binary64`
228×	`*-commutative_binary64`
204×	`associate-l_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	371	3330
1	1201	2917
2	3952	2673

Stop Event

1×	node limit

Counts

180 → 195

Calls

Call 1

Inputs
(sqrt.f64 (/.f64 1 (+.f64 (*.f64 2 x) 2)))
(+.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 2 x) 2) 3))) (pow.f64 F 2))) (sqrt.f64 (/.f64 1 (+.f64 (.f64 2 x) 2))))
(+.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 2 x) 2) 3))) (pow.f64 F 2))) (+.f64 (.f64 3/8 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 2 x) 2) 5))) (pow.f64 F 4))) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 2 x) 2)))))
(+.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 2 x) 2) 3))) (pow.f64 F 2))) (+.f64 (.f64 3/8 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 2 x) 2) 5))) (pow.f64 F 4))) (+.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 2 x) 2))) (.f64 -5/16 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 2 x) 2) 7))) (pow.f64 F 6))))))
(/.f64 1 F)
(+.f64 (.f64 -1/2 (/.f64 (+.f64 2 (.f64 2 x)) (pow.f64 F 3))) (/.f64 1 F))
(+.f64 (.f64 -1/2 (/.f64 (+.f64 2 (.f64 2 x)) (pow.f64 F 3))) (+.f64 (.f64 1/4 (/.f64 (pow.f64 (+.f64 2 (.f64 2 x)) 2) (pow.f64 F 5))) (+.f64 (.f64 1/8 (/.f64 (pow.f64 (+.f64 2 (.f64 2 x)) 2) (pow.f64 F 5))) (/.f64 1 F))))
(+.f64 (.f64 -1/2 (/.f64 (+.f64 2 (.f64 2 x)) (pow.f64 F 3))) (+.f64 (.f64 -1/6 (/.f64 (pow.f64 (+.f64 2 (.f64 2 x)) 3) (pow.f64 F 7))) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 (+.f64 2 (.f64 2 x)) 3) (pow.f64 F 7))) (+.f64 (.f64 -1/48 (/.f64 (pow.f64 (+.f64 2 (.f64 2 x)) 3) (pow.f64 F 7))) (+.f64 (.f64 1/4 (/.f64 (pow.f64 (+.f64 2 (.f64 2 x)) 2) (pow.f64 F 5))) (+.f64 (.f64 1/8 (/.f64 (pow.f64 (+.f64 2 (.f64 2 x)) 2) (pow.f64 F 5))) (/.f64 1 F)))))))
(/.f64 -1 F)
(-.f64 (.f64 1/2 (/.f64 (+.f64 2 (.f64 2 x)) (pow.f64 F 3))) (/.f64 1 F))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (+.f64 2 (.f64 2 x)) (pow.f64 F 3))) (.f64 -1 (/.f64 (+.f64 (.f64 1/4 (pow.f64 (+.f64 2 (.f64 2 x)) 2)) (.f64 1/8 (pow.f64 (+.f64 2 (*.f64 2 x)) 2))) (pow.f64 F 5)))) (/.f64 1 F))
(-.f64 (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1/8 (pow.f64 (+.f64 2 (.f64 2 x)) 3)) (+.f64 (.f64 -1/6 (pow.f64 (+.f64 2 (.f64 2 x)) 3)) (.f64 -1/48 (pow.f64 (+.f64 2 (.f64 2 x)) 3)))) (pow.f64 F 7))) (+.f64 (.f64 1/2 (/.f64 (+.f64 2 (.f64 2 x)) (pow.f64 F 3))) (.f64 -1 (/.f64 (+.f64 (.f64 1/4 (pow.f64 (+.f64 2 (.f64 2 x)) 2)) (.f64 1/8 (pow.f64 (+.f64 2 (.f64 2 x)) 2))) (pow.f64 F 5))))) (/.f64 1 F))
(sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) 2)))
(+.f64 (.f64 -1 (.f64 x (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) 2) 3))))) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) 2))))
(+.f64 (.f64 -1 (.f64 x (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) 2) 3))))) (+.f64 (.f64 3/2 (.f64 (pow.f64 x 2) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) 2) 5))))) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) 2)))))
(+.f64 (.f64 -1 (.f64 x (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) 2) 3))))) (+.f64 (.f64 -5/2 (.f64 (pow.f64 x 3) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) 2) 7))))) (+.f64 (.f64 3/2 (.f64 (pow.f64 x 2) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) 2) 5))))) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) 2))))))
(exp.f64 (.f64 -1/2 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x))))))
(+.f64 (exp.f64 (.f64 -1/2 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x)))))) (.f64 -1/4 (/.f64 (.f64 (exp.f64 (.f64 -1/2 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x)))))) (+.f64 (pow.f64 F 2) 2)) x)))
(+.f64 (/.f64 (.f64 (exp.f64 (.f64 -1/2 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x)))))) (+.f64 (.f64 1/16 (pow.f64 (+.f64 (pow.f64 F 2) 2) 2)) (.f64 1/32 (pow.f64 (+.f64 (pow.f64 F 2) 2) 2)))) (pow.f64 x 2)) (+.f64 (exp.f64 (.f64 -1/2 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x)))))) (.f64 -1/4 (/.f64 (.f64 (exp.f64 (.f64 -1/2 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x)))))) (+.f64 (pow.f64 F 2) 2)) x))))
(+.f64 (/.f64 (.f64 (exp.f64 (.f64 -1/2 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x)))))) (+.f64 (.f64 1/16 (pow.f64 (+.f64 (pow.f64 F 2) 2) 2)) (.f64 1/32 (pow.f64 (+.f64 (pow.f64 F 2) 2) 2)))) (pow.f64 x 2)) (+.f64 (exp.f64 (.f64 -1/2 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x)))))) (+.f64 (.f64 -1/4 (/.f64 (.f64 (exp.f64 (.f64 -1/2 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x)))))) (+.f64 (pow.f64 F 2) 2)) x)) (/.f64 (.f64 (exp.f64 (.f64 -1/2 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x)))))) (+.f64 (.f64 -1/48 (pow.f64 (+.f64 (pow.f64 F 2) 2) 3)) (+.f64 (.f64 -1/384 (pow.f64 (+.f64 (pow.f64 F 2) 2) 3)) (*.f64 -1/64 (pow.f64 (+.f64 (pow.f64 F 2) 2) 3))))) (pow.f64 x 3)))))
(exp.f64 (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2))))
(+.f64 (exp.f64 (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2)))) (.f64 -1/4 (/.f64 (.f64 (exp.f64 (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2)))) (+.f64 (pow.f64 F 2) 2)) x)))
(+.f64 (/.f64 (.f64 (exp.f64 (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2)))) (+.f64 (.f64 1/16 (pow.f64 (+.f64 (pow.f64 F 2) 2) 2)) (.f64 1/32 (pow.f64 (+.f64 (pow.f64 F 2) 2) 2)))) (pow.f64 x 2)) (+.f64 (exp.f64 (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2)))) (.f64 -1/4 (/.f64 (.f64 (exp.f64 (.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2)))) (+.f64 (pow.f64 F 2) 2)) x))))
(+.f64 (/.f64 (.f64 (exp.f64 (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2)))) (+.f64 (.f64 1/16 (pow.f64 (+.f64 (pow.f64 F 2) 2) 2)) (.f64 1/32 (pow.f64 (+.f64 (pow.f64 F 2) 2) 2)))) (pow.f64 x 2)) (+.f64 (exp.f64 (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2)))) (+.f64 (.f64 -1/4 (/.f64 (.f64 (exp.f64 (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2)))) (+.f64 (pow.f64 F 2) 2)) x)) (.f64 -1 (/.f64 (.f64 (exp.f64 (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2)))) (+.f64 (.f64 1/48 (pow.f64 (+.f64 (pow.f64 F 2) 2) 3)) (+.f64 (.f64 1/64 (pow.f64 (+.f64 (pow.f64 F 2) 2) 3)) (.f64 1/384 (pow.f64 (+.f64 (pow.f64 F 2) 2) 3))))) (pow.f64 x 3))))))
(.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 (.f64 2 x) 2) (*.f64 (sin.f64 B) (pow.f64 F 2)))) (/.f64 1 (sin.f64 B)))
(+.f64 (.f64 -1/2 (/.f64 (+.f64 (.f64 -1 (pow.f64 (+.f64 (.f64 2 x) 2) 2)) (pow.f64 (.f64 -1/2 (+.f64 2 (.f64 2 x))) 2)) (.f64 (sin.f64 B) (pow.f64 F 4)))) (+.f64 (.f64 -1/2 (/.f64 (+.f64 (.f64 2 x) 2) (*.f64 (sin.f64 B) (pow.f64 F 2)))) (/.f64 1 (sin.f64 B))))
(+.f64 (.f64 -1/2 (/.f64 (+.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 (.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 (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 (.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 1/2 (/.f64 (+.f64 2 (.f64 2 x)) (*.f64 (sin.f64 B) (pow.f64 F 2))))) (/.f64 1 (sin.f64 B)))
(-.f64 (+.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 (.f64 1/2 (/.f64 (+.f64 2 (.f64 2 x)) (.f64 (sin.f64 B) (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))))) (*.f64 (sin.f64 B) (pow.f64 F 6)))))) (/.f64 1 (sin.f64 B)))
(.f64 (/.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x))))))
(+.f64 (.f64 (/.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x)))))) (.f64 1/6 (.f64 (.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x))))))))
(+.f64 (.f64 (/.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x)))))) (+.f64 (.f64 1/6 (.f64 (.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x))))))) (.f64 -1 (.f64 (.f64 (+.f64 (.f64 1/120 F) (.f64 -1/36 F)) (pow.f64 B 3)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x)))))))))
(+.f64 (.f64 (/.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x)))))) (+.f64 (.f64 1/6 (.f64 (.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x))))))) (+.f64 (.f64 -1 (.f64 (.f64 (+.f64 (.f64 1/6 (+.f64 (.f64 1/120 F) (.f64 -1/36 F))) (+.f64 (.f64 1/720 F) (.f64 -1/5040 F))) (pow.f64 B 5)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x))))))) (.f64 -1 (.f64 (.f64 (+.f64 (.f64 1/120 F) (.f64 -1/36 F)) (pow.f64 B 3)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (*.f64 2 x))))))))))
(.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x))))))
(.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x))))))
(.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x))))))
(.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x))))))
(.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x))))))
(.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x))))))
(.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x))))))
(.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x))))))
(*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) 2))))
(+.f64 (.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) 2)))) (.f64 -1 (.f64 (/.f64 (.f64 F x) (sin.f64 B)) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) 2) 3))))))
(+.f64 (.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) 2)))) (+.f64 (.f64 1/2 (.f64 (/.f64 (.f64 F (.f64 (-.f64 (.f64 4 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) 2) 3))) (pow.f64 (.f64 -1 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) 2) 3)))) 2)) (pow.f64 x 2))) (sin.f64 B)) (sqrt.f64 (+.f64 (pow.f64 F 2) 2)))) (.f64 -1 (.f64 (/.f64 (.f64 F x) (sin.f64 B)) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) 2) 3)))))))
(+.f64 (.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) 2)))) (+.f64 (.f64 1/2 (.f64 (/.f64 (.f64 F (.f64 (-.f64 (.f64 4 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) 2) 3))) (pow.f64 (.f64 -1 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) 2) 3)))) 2)) (pow.f64 x 2))) (sin.f64 B)) (sqrt.f64 (+.f64 (pow.f64 F 2) 2)))) (+.f64 (.f64 -1 (.f64 (/.f64 (.f64 F x) (sin.f64 B)) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) 2) 3))))) (.f64 -1/2 (.f64 (/.f64 (.f64 F (.f64 (+.f64 (.f64 8 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) 2) 4))) (.f64 -1 (/.f64 (-.f64 (.f64 4 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) 2) 3))) (pow.f64 (.f64 -1 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) 2) 3)))) 2)) (+.f64 (pow.f64 F 2) 2)))) (pow.f64 x 3))) (sin.f64 B)) (sqrt.f64 (+.f64 (pow.f64 F 2) 2)))))))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 x B)
(+.f64 (/.f64 x B) (.f64 -1/3 (.f64 B x)))
(+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1/9 x) (.f64 2/15 x)) (pow.f64 B 3))) (+.f64 (/.f64 x B) (.f64 -1/3 (.f64 B x))))
(+.f64 (.f64 -1 (.f64 (+.f64 (.f64 17/315 x) (+.f64 (.f64 -2/45 x) (.f64 -1/3 (+.f64 (.f64 -1/9 x) (.f64 2/15 x))))) (pow.f64 B 5))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1/9 x) (.f64 2/15 x)) (pow.f64 B 3))) (+.f64 (/.f64 x B) (.f64 -1/3 (*.f64 B x)))))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 1 B)
(+.f64 (*.f64 -1/3 B) (/.f64 1 B))
(+.f64 (.f64 -1/3 B) (+.f64 (.f64 -1/45 (pow.f64 B 3)) (/.f64 1 B)))
(+.f64 (.f64 -1/3 B) (+.f64 (.f64 -1/45 (pow.f64 B 3)) (+.f64 (*.f64 -2/945 (pow.f64 B 5)) (/.f64 1 B))))
(/.f64 (cos.f64 B) (sin.f64 B))
(/.f64 (cos.f64 B) (sin.f64 B))
(/.f64 (cos.f64 B) (sin.f64 B))
(/.f64 (cos.f64 B) (sin.f64 B))
(/.f64 (cos.f64 B) (sin.f64 B))
(/.f64 (cos.f64 B) (sin.f64 B))
(/.f64 (cos.f64 B) (sin.f64 B))
(/.f64 (cos.f64 B) (sin.f64 B))

Outputs
(sqrt.f64 (/.f64 1 (+.f64 (*.f64 2 x) 2)))
(sqrt.f64 (/.f64 1 (fma.f64 2 x 2)))
(+.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 2 x) 2) 3))) (pow.f64 F 2))) (sqrt.f64 (/.f64 1 (+.f64 (.f64 2 x) 2))))
(fma.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 2 x 2) 3))) (.f64 F F)) (sqrt.f64 (/.f64 1 (fma.f64 2 x 2))))
(fma.f64 (.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 2 x 2) 3)))) (.f64 F F) (sqrt.f64 (/.f64 1 (fma.f64 2 x 2))))
(+.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 2 x) 2) 3))) (pow.f64 F 2))) (+.f64 (.f64 3/8 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 2 x) 2) 5))) (pow.f64 F 4))) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 2 x) 2)))))
(fma.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 2 x 2) 3))) (.f64 F F)) (fma.f64 3/8 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 2 x 2) 5))) (pow.f64 F 4)) (sqrt.f64 (/.f64 1 (fma.f64 2 x 2)))))
(+.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 2 x) 2) 3))) (pow.f64 F 2))) (+.f64 (.f64 3/8 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 2 x) 2) 5))) (pow.f64 F 4))) (+.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 2 x) 2))) (.f64 -5/16 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 2 x) 2) 7))) (pow.f64 F 6))))))
(fma.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 2 x 2) 3))) (.f64 F F)) (+.f64 (fma.f64 3/8 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 2 x 2) 5))) (pow.f64 F 4)) (sqrt.f64 (/.f64 1 (fma.f64 2 x 2)))) (.f64 (*.f64 -5/16 (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 2 x 2) 7)))) (pow.f64 F 6))))
(fma.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 2 x 2) 3))) (.f64 F F)) (fma.f64 3/8 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 2 x 2) 5))) (pow.f64 F 4)) (fma.f64 (.f64 -5/16 (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 2 x 2) 7)))) (pow.f64 F 6) (sqrt.f64 (/.f64 1 (fma.f64 2 x 2))))))
(fma.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 2 x 2) 3))) (.f64 F F)) (fma.f64 3/8 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 2 x 2) 5))) (pow.f64 F 4)) (fma.f64 -5/16 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 2 x 2) 7))) (pow.f64 F 6)) (sqrt.f64 (/.f64 1 (fma.f64 2 x 2))))))
(/.f64 1 F)
(+.f64 (.f64 -1/2 (/.f64 (+.f64 2 (.f64 2 x)) (pow.f64 F 3))) (/.f64 1 F))
(fma.f64 -1/2 (/.f64 (fma.f64 2 x 2) (pow.f64 F 3)) (/.f64 1 F))
(+.f64 (/.f64 1 F) (/.f64 (+.f64 -1 (neg.f64 x)) (pow.f64 F 3)))
(+.f64 (/.f64 1 F) (/.f64 (-.f64 -1 x) (pow.f64 F 3)))
(+.f64 (.f64 -1/2 (/.f64 (+.f64 2 (.f64 2 x)) (pow.f64 F 3))) (+.f64 (.f64 1/4 (/.f64 (pow.f64 (+.f64 2 (.f64 2 x)) 2) (pow.f64 F 5))) (+.f64 (.f64 1/8 (/.f64 (pow.f64 (+.f64 2 (.f64 2 x)) 2) (pow.f64 F 5))) (/.f64 1 F))))
(fma.f64 -1/2 (/.f64 (fma.f64 2 x 2) (pow.f64 F 3)) (fma.f64 1/4 (/.f64 (pow.f64 (fma.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 5)) (/.f64 1 F))))
(+.f64 (/.f64 (+.f64 -1 (neg.f64 x)) (pow.f64 F 3)) (+.f64 (/.f64 1 F) (*.f64 (/.f64 (pow.f64 (fma.f64 2 x 2) 2) (pow.f64 F 5)) 3/8)))
(+.f64 (/.f64 (-.f64 -1 x) (pow.f64 F 3)) (+.f64 (/.f64 1 F) (*.f64 (/.f64 (pow.f64 (fma.f64 2 x 2) 2) (pow.f64 F 5)) 3/8)))
(+.f64 (.f64 -1/2 (/.f64 (+.f64 2 (.f64 2 x)) (pow.f64 F 3))) (+.f64 (.f64 -1/6 (/.f64 (pow.f64 (+.f64 2 (.f64 2 x)) 3) (pow.f64 F 7))) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 (+.f64 2 (.f64 2 x)) 3) (pow.f64 F 7))) (+.f64 (.f64 -1/48 (/.f64 (pow.f64 (+.f64 2 (.f64 2 x)) 3) (pow.f64 F 7))) (+.f64 (.f64 1/4 (/.f64 (pow.f64 (+.f64 2 (.f64 2 x)) 2) (pow.f64 F 5))) (+.f64 (.f64 1/8 (/.f64 (pow.f64 (+.f64 2 (.f64 2 x)) 2) (pow.f64 F 5))) (/.f64 1 F)))))))
(fma.f64 -1/2 (/.f64 (fma.f64 2 x 2) (pow.f64 F 3)) (fma.f64 -1/6 (/.f64 (pow.f64 (fma.f64 2 x 2) 3) (pow.f64 F 7)) (fma.f64 -1/8 (/.f64 (pow.f64 (fma.f64 2 x 2) 3) (pow.f64 F 7)) (fma.f64 -1/48 (/.f64 (pow.f64 (fma.f64 2 x 2) 3) (pow.f64 F 7)) (fma.f64 1/4 (/.f64 (pow.f64 (fma.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 5)) (/.f64 1 F)))))))
(+.f64 (/.f64 (+.f64 -1 (neg.f64 x)) (pow.f64 F 3)) (fma.f64 -1/6 (/.f64 (pow.f64 (fma.f64 2 x 2) 3) (pow.f64 F 7)) (+.f64 (+.f64 (.f64 (/.f64 (pow.f64 (fma.f64 2 x 2) 3) (pow.f64 F 7)) -7/48) (.f64 (/.f64 (pow.f64 (fma.f64 2 x 2) 2) (pow.f64 F 5)) 3/8)) (/.f64 1 F))))
(+.f64 (/.f64 (-.f64 -1 x) (pow.f64 F 3)) (+.f64 (.f64 (/.f64 (pow.f64 (fma.f64 2 x 2) 3) (pow.f64 F 7)) -5/16) (+.f64 (/.f64 1 F) (.f64 (/.f64 (pow.f64 (fma.f64 2 x 2) 2) (pow.f64 F 5)) 3/8))))
(/.f64 -1 F)
(-.f64 (.f64 1/2 (/.f64 (+.f64 2 (.f64 2 x)) (pow.f64 F 3))) (/.f64 1 F))
(-.f64 (/.f64 (*.f64 1/2 (fma.f64 2 x 2)) (pow.f64 F 3)) (/.f64 1 F))
(fma.f64 (/.f64 (fma.f64 2 x 2) (pow.f64 F 3)) 1/2 (/.f64 -1 F))
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(*.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 (fma.f64 2 x 2) (.f64 F F)))))
(*.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 (fma.f64 2 x 2) (.f64 F F)))))
(*.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 (fma.f64 2 x 2) (.f64 F F)))))
(*.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 (fma.f64 2 x 2) (.f64 F F)))))
(*.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 (fma.f64 2 x 2) (.f64 F F)))))
(*.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 (neg.f64 (.f64 (/.f64 F (sin.f64 B)) x)) (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 F F 2) 3))) (.f64 (sqrt.f64 (/.f64 1 (fma.f64 F F 2))) (/.f64 F (sin.f64 B))))
(-.f64 (.f64 (sqrt.f64 (/.f64 1 (fma.f64 F F 2))) (/.f64 F (sin.f64 B))) (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 F F 2) 3))) (*.f64 (/.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 -1 (.f64 (/.f64 (.f64 F x) (sin.f64 B)) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) 2) 3)))))))
(fma.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 2 (.f64 F F)))) (fma.f64 1/2 (.f64 (/.f64 (.f64 (.f64 F (-.f64 (/.f64 4 (pow.f64 (+.f64 2 (.f64 F F)) 3)) (pow.f64 (neg.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 2 (.f64 F F)) 3)))) 2))) (.f64 x x)) (sin.f64 B)) (sqrt.f64 (+.f64 2 (.f64 F F)))) (neg.f64 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 2 (.f64 F F)) 3))) (/.f64 F (/.f64 (sin.f64 B) x))))))
(-.f64 (fma.f64 (sqrt.f64 (/.f64 1 (fma.f64 F F 2))) (/.f64 F (sin.f64 B)) (.f64 1/2 (.f64 (.f64 (/.f64 F (sin.f64 B)) (.f64 (.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)))) (sqrt.f64 (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)))
(-.f64 (fma.f64 (sqrt.f64 (/.f64 1 (fma.f64 F F 2))) (/.f64 F (sin.f64 B)) (/.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 F (-.f64 (/.f64 4 (pow.f64 (fma.f64 F F 2) 3)) (/.f64 1 (pow.f64 (fma.f64 F F 2) 3))))) (sqrt.f64 (fma.f64 F F 2))) 1/2) (sin.f64 B))) (.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 (/.f64 (.f64 (.f64 F (-.f64 (/.f64 4 (pow.f64 (+.f64 2 (.f64 F F)) 3)) (pow.f64 (neg.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 2 (.f64 F F)) 3)))) 2))) (.f64 x x)) (sin.f64 B)) (sqrt.f64 (+.f64 2 (.f64 F F)))) (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 (/.f64 F (sin.f64 B)) (.f64 (.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)))) (sqrt.f64 (fma.f64 F F 2))) (-.f64 (.f64 (sqrt.f64 (fma.f64 F F 2)) (/.f64 (.f64 -1/2 F) (/.f64 (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 (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 1/2 (.f64 (/.f64 F (sin.f64 B)) (.f64 x (.f64 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 (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 (*.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 (*.f64 B -1/3) x (/.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))))
(fma.f64 (neg.f64 (.f64 x 1/45)) (pow.f64 B 3) (fma.f64 (.f64 B -1/3) x (/.f64 x B)))
(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 (fma.f64 (neg.f64 (.f64 x 1/45)) (pow.f64 B 3) (fma.f64 (.f64 B -1/3) x (/.f64 x B))) (.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)
(/.f64 1 B)
(+.f64 (*.f64 -1/3 B) (/.f64 1 B))
(fma.f64 -1/3 B (/.f64 1 B))
(fma.f64 B -1/3 (/.f64 1 B))
(+.f64 (.f64 -1/3 B) (+.f64 (.f64 -1/45 (pow.f64 B 3)) (/.f64 1 B)))
(fma.f64 -1/3 B (fma.f64 -1/45 (pow.f64 B 3) (/.f64 1 B)))
(fma.f64 B -1/3 (fma.f64 (pow.f64 B 3) -1/45 (/.f64 1 B)))
(+.f64 (.f64 -1/3 B) (+.f64 (.f64 -1/45 (pow.f64 B 3)) (+.f64 (*.f64 -2/945 (pow.f64 B 5)) (/.f64 1 B))))
(fma.f64 -1/3 B (fma.f64 -1/45 (pow.f64 B 3) (fma.f64 -2/945 (pow.f64 B 5) (/.f64 1 B))))
(fma.f64 B -1/3 (fma.f64 (pow.f64 B 3) -1/45 (fma.f64 (pow.f64 B 5) -2/945 (/.f64 1 B))))
(/.f64 (cos.f64 B) (sin.f64 B))
(/.f64 (cos.f64 B) (sin.f64 B))
(/.f64 (cos.f64 B) (sin.f64 B))
(/.f64 (cos.f64 B) (sin.f64 B))
(/.f64 (cos.f64 B) (sin.f64 B))
(/.f64 (cos.f64 B) (sin.f64 B))
(/.f64 (cos.f64 B) (sin.f64 B))
(/.f64 (cos.f64 B) (sin.f64 B))

localize56.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 F (sin.f64 B))
✓	0.2b	(/.f64 (neg.f64 x) (tan.f64 B))
✓	7.7b	(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)))
✓	15.9b	(pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)

Compiler

Compiled 62 to 29 computations (53.2% saved)

series59.0ms (0.1%)

Counts

4 → 88

Calls

27 calls:

Time	Variable		Point	Expression
37.0ms	B	@	inf	(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)))
5.0ms	B	@	-inf	(/.f64 (neg.f64 x) (tan.f64 B))
2.0ms	B	@	0	(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)))
2.0ms	F	@	0	(pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)
1.0ms	x	@	inf	(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)))

rewrite153.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

709×	`log-prod_binary64`
361×	`prod-diff_binary64`
272×	`expm1-udef_binary64`
272×	`log1p-udef_binary64`
250×	`pow3_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	54
1	323	50
2	4198	50

Stop Event

1×	node limit

Counts

4 → 294

Calls

Call 1

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

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

simplify104.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

824×	`times-frac_binary64`
693×	`distribute-rgt-in_binary64`
685×	`distribute-lft-in_binary64`
383×	`fma-def_binary64`
204×	`associate-r_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	350	3726
1	1093	3265
2	4017	3021

Stop Event

1×	node limit

Counts

382 → 407

Calls

Call 1

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

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

eval462.0ms (0.9%)

Compiler: Compiled 25314 to 13509 computations (46.6% saved)

prune204.0ms (0.4%)

Pruning

23 alts after pruning (23 fresh and 0 done)

	Pruned	Kept	Total
New	579	23	602
Fresh	0	0	0
Picked	1	0	1
Done	1	0	1
Total	581	23	604

Error

0.0b

Counts

604 → 23

Alt Table

Click to see full alt table

Status	Error	Program
▶	50.8b	(/.f64 -1 (sin.f64 B))
▶	9.5b	(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 (.f64 F (pow.f64 (fma.f64 F F (fma.f64 2 x 2)) -1/2)) (sin.f64 B)))
	13.9b	(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (.f64 (/.f64 F (sin.f64 B)) (*.f64 (pow.f64 (fma.f64 F F (fma.f64 2 x 2)) -1/4) (pow.f64 (fma.f64 F F (fma.f64 2 x 2)) -1/4))))
	30.1b	(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 2 x) 2)))))
	24.9b	(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (cbrt.f64 (pow.f64 (.f64 (pow.f64 (fma.f64 F F (fma.f64 2 x 2)) -1/2) (/.f64 F (sin.f64 B))) 3)))
▶	9.5b	(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 (/.f64 (sin.f64 B) (.f64 F (pow.f64 (fma.f64 F F (fma.f64 2 x 2)) -1/2)))))
▶	36.0b	(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (.f64 (/.f64 F (sin.f64 B)) (/.f64 -1 F)))
	9.5b	(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 F (/.f64 (sin.f64 B) (pow.f64 (fma.f64 F F (fma.f64 2 x 2)) -1/2))))
	33.4b	(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (/.f64 (sin.f64 B) (cos.f64 B))))
	34.7b	(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (sqrt.f64 (.f64 (pow.f64 (/.f64 F (sin.f64 B)) 2) (pow.f64 (fma.f64 F F (fma.f64 2 x 2)) -1))))
	13.8b	(+.f64 (neg.f64 (.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)) (.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (.f64 F F) 2) (.f64 2 x)) (neg.f64 (/.f64 1 2)))))
	33.4b	(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 (sin.f64 B)))
▶	36.0b	(fma.f64 (/.f64 F (sin.f64 B)) (/.f64 -1 F) (/.f64 (neg.f64 x) (tan.f64 B)))
	34.3b	(+.f64 (neg.f64 (/.f64 (sqrt.f64 x) (/.f64 (tan.f64 B) (sqrt.f64 x)))) (.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (.f64 F F) 2) (*.f64 2 x)) (neg.f64 (/.f64 1 2)))))
	37.9b	(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (pow.f64 (.f64 (sqrt.f64 (/.f64 F (sin.f64 B))) (pow.f64 (fma.f64 F F (fma.f64 2 x 2)) -1/4)) 2))
	37.5b	(/.f64 (+.f64 (.f64 F (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x)))))) (*.f64 -1 x)) B)
	13.8b	(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (.f64 F F) 2) (*.f64 2 x)) (neg.f64 (/.f64 1 2)))))
	33.0b	(/.f64 (*.f64 x (neg.f64 (cos.f64 B))) (sin.f64 B))
	30.2b	(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 -1 (sin.f64 B)))
	30.5b	(+.f64 (neg.f64 (/.f64 x B)) (.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (.f64 F F) 2) (*.f64 2 x)) (neg.f64 (/.f64 1 2)))))
	53.3b	(/.f64 1 (sin.f64 B))
	38.4b	(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (.f64 (/.f64 F (sin.f64 B)) (/.f64 1 F)))
	13.4b	(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (.f64 (/.f64 F (sin.f64 B)) (*.f64 (pow.f64 (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2))) -1/2) (pow.f64 (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2))) -1/2))))

Compiler

Compiled 1044 to 778 computations (25.5% saved)

localize53.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(*.f64 F (pow.f64 (fma.f64 F F (fma.f64 2 x 2)) -1/2))
	0.3b	(*.f64 x (/.f64 1 (tan.f64 B)))
✓	0.5b	(/.f64 (*.f64 F (pow.f64 (fma.f64 F F (fma.f64 2 x 2)) -1/2)) (sin.f64 B))
✓	15.9b	(pow.f64 (fma.f64 F F (fma.f64 2 x 2)) -1/2)

Compiler

Compiled 97 to 58 computations (40.2% saved)

series147.0ms (0.3%)

Counts

3 → 68

Calls

21 calls:

Time	Variable		Point	Expression
132.0ms	F	@	inf	(pow.f64 (fma.f64 F F (fma.f64 2 x 2)) -1/2)
2.0ms	F	@	0	(/.f64 (*.f64 F (pow.f64 (fma.f64 F F (fma.f64 2 x 2)) -1/2)) (sin.f64 B))
1.0ms	F	@	0	(*.f64 F (pow.f64 (fma.f64 F F (fma.f64 2 x 2)) -1/2))
1.0ms	x	@	0	(*.f64 F (pow.f64 (fma.f64 F F (fma.f64 2 x 2)) -1/2))
1.0ms	x	@	-inf	(*.f64 F (pow.f64 (fma.f64 F F (fma.f64 2 x 2)) -1/2))

rewrite67.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

598×	`log-prod_binary64`
345×	`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	47
1	252	47
2	3110	45

Stop Event

1×	node limit

Counts

3 → 95

Calls

Call 1

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

Outputs

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

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

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

simplify112.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

784×	`distribute-rgt-in_binary64`
663×	`times-frac_binary64`
403×	`fma-def_binary64`
251×	`*-commutative_binary64`
239×	`associate-r_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	390	3888
1	1321	3427
2	4260	3078

Stop Event

1×	node limit

Counts

163 → 211

Calls

Call 1

Inputs
(sqrt.f64 (/.f64 1 (+.f64 (*.f64 2 x) 2)))
(+.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 2 x) 2) 3))) (pow.f64 F 2))) (sqrt.f64 (/.f64 1 (+.f64 (.f64 2 x) 2))))
(+.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 2 x) 2) 3))) (pow.f64 F 2))) (+.f64 (.f64 3/8 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 2 x) 2) 5))) (pow.f64 F 4))) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 2 x) 2)))))
(+.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 2 x) 2) 3))) (pow.f64 F 2))) (+.f64 (.f64 3/8 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 2 x) 2) 5))) (pow.f64 F 4))) (+.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 2 x) 2))) (.f64 -5/16 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 2 x) 2) 7))) (pow.f64 F 6))))))
(/.f64 1 F)
(+.f64 (.f64 -1/2 (/.f64 (+.f64 (.f64 2 x) 2) (pow.f64 F 3))) (/.f64 1 F))
(+.f64 (.f64 1/8 (/.f64 (pow.f64 (+.f64 (.f64 2 x) 2) 2) (pow.f64 F 5))) (+.f64 (.f64 -1/2 (/.f64 (+.f64 (.f64 2 x) 2) (pow.f64 F 3))) (+.f64 (.f64 1/4 (/.f64 (pow.f64 (+.f64 (.f64 2 x) 2) 2) (pow.f64 F 5))) (/.f64 1 F))))
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 (+.f64 (.f64 2 x) 2) 3) (pow.f64 F 7))) (+.f64 (.f64 1/8 (/.f64 (pow.f64 (+.f64 (.f64 2 x) 2) 2) (pow.f64 F 5))) (+.f64 (.f64 -1/6 (/.f64 (pow.f64 (+.f64 (.f64 2 x) 2) 3) (pow.f64 F 7))) (+.f64 (.f64 -1/48 (/.f64 (pow.f64 (+.f64 (.f64 2 x) 2) 3) (pow.f64 F 7))) (+.f64 (.f64 -1/2 (/.f64 (+.f64 (.f64 2 x) 2) (pow.f64 F 3))) (+.f64 (.f64 1/4 (/.f64 (pow.f64 (+.f64 (.f64 2 x) 2) 2) (pow.f64 F 5))) (/.f64 1 F)))))))
(/.f64 -1 F)
(-.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 2 x) 2) (pow.f64 F 3))) (/.f64 1 F))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 2 x) 2) (pow.f64 F 3))) (.f64 -1 (/.f64 (+.f64 (.f64 1/8 (pow.f64 (+.f64 (.f64 2 x) 2) 2)) (.f64 1/4 (pow.f64 (+.f64 (*.f64 2 x) 2) 2))) (pow.f64 F 5)))) (/.f64 1 F))
(-.f64 (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1/48 (pow.f64 (+.f64 (.f64 2 x) 2) 3)) (+.f64 (.f64 -1/6 (pow.f64 (+.f64 (.f64 2 x) 2) 3)) (.f64 -1/8 (pow.f64 (+.f64 (.f64 2 x) 2) 3)))) (pow.f64 F 7))) (+.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 2 x) 2) (pow.f64 F 3))) (.f64 -1 (/.f64 (+.f64 (.f64 1/8 (pow.f64 (+.f64 (.f64 2 x) 2) 2)) (.f64 1/4 (pow.f64 (+.f64 (.f64 2 x) 2) 2))) (pow.f64 F 5))))) (/.f64 1 F))
(sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) 2)))
(+.f64 (.f64 -1 (.f64 x (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) 2) 3))))) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) 2))))
(+.f64 (.f64 -1 (.f64 x (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) 2) 3))))) (+.f64 (.f64 3/2 (.f64 (pow.f64 x 2) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) 2) 5))))) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) 2)))))
(+.f64 (.f64 -1 (.f64 x (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) 2) 3))))) (+.f64 (.f64 -5/2 (.f64 (pow.f64 x 3) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) 2) 7))))) (+.f64 (.f64 3/2 (.f64 (pow.f64 x 2) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) 2) 5))))) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) 2))))))
(exp.f64 (.f64 -1/2 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x))))))
(+.f64 (exp.f64 (.f64 -1/2 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x)))))) (.f64 -1/4 (/.f64 (.f64 (exp.f64 (.f64 -1/2 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x)))))) (+.f64 (pow.f64 F 2) 2)) x)))
(+.f64 (/.f64 (.f64 (exp.f64 (.f64 -1/2 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x)))))) (+.f64 (.f64 1/16 (pow.f64 (+.f64 (pow.f64 F 2) 2) 2)) (.f64 1/32 (pow.f64 (+.f64 (pow.f64 F 2) 2) 2)))) (pow.f64 x 2)) (+.f64 (exp.f64 (.f64 -1/2 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x)))))) (.f64 -1/4 (/.f64 (.f64 (exp.f64 (.f64 -1/2 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x)))))) (+.f64 (pow.f64 F 2) 2)) x))))
(+.f64 (/.f64 (.f64 (exp.f64 (.f64 -1/2 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x)))))) (+.f64 (.f64 1/16 (pow.f64 (+.f64 (pow.f64 F 2) 2) 2)) (.f64 1/32 (pow.f64 (+.f64 (pow.f64 F 2) 2) 2)))) (pow.f64 x 2)) (+.f64 (exp.f64 (.f64 -1/2 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x)))))) (+.f64 (.f64 -1/4 (/.f64 (.f64 (exp.f64 (.f64 -1/2 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x)))))) (+.f64 (pow.f64 F 2) 2)) x)) (/.f64 (.f64 (exp.f64 (.f64 -1/2 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x)))))) (+.f64 (.f64 -1/48 (pow.f64 (+.f64 (pow.f64 F 2) 2) 3)) (+.f64 (.f64 -1/384 (pow.f64 (+.f64 (pow.f64 F 2) 2) 3)) (*.f64 -1/64 (pow.f64 (+.f64 (pow.f64 F 2) 2) 3))))) (pow.f64 x 3)))))
(exp.f64 (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2))))
(+.f64 (exp.f64 (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2)))) (.f64 -1/4 (/.f64 (.f64 (exp.f64 (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2)))) (+.f64 (pow.f64 F 2) 2)) x)))
(+.f64 (/.f64 (.f64 (exp.f64 (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2)))) (+.f64 (.f64 1/16 (pow.f64 (+.f64 (pow.f64 F 2) 2) 2)) (.f64 1/32 (pow.f64 (+.f64 (pow.f64 F 2) 2) 2)))) (pow.f64 x 2)) (+.f64 (exp.f64 (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2)))) (.f64 -1/4 (/.f64 (.f64 (exp.f64 (.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2)))) (+.f64 (pow.f64 F 2) 2)) x))))
(+.f64 (/.f64 (.f64 (exp.f64 (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2)))) (+.f64 (.f64 1/16 (pow.f64 (+.f64 (pow.f64 F 2) 2) 2)) (.f64 1/32 (pow.f64 (+.f64 (pow.f64 F 2) 2) 2)))) (pow.f64 x 2)) (+.f64 (exp.f64 (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2)))) (+.f64 (.f64 -1/4 (/.f64 (.f64 (exp.f64 (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2)))) (+.f64 (pow.f64 F 2) 2)) x)) (.f64 -1 (/.f64 (.f64 (exp.f64 (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2)))) (+.f64 (.f64 1/48 (pow.f64 (+.f64 (pow.f64 F 2) 2) 3)) (+.f64 (.f64 1/64 (pow.f64 (+.f64 (pow.f64 F 2) 2) 3)) (.f64 1/384 (pow.f64 (+.f64 (pow.f64 F 2) 2) 3))))) (pow.f64 x 3))))))
(.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (.f64 2 x) 2))))
(+.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 2 (.f64 2 x)))) (/.f64 (pow.f64 F 3) (.f64 (sin.f64 B) (+.f64 (.f64 2 x) 2))))) (.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 2 x) 2)))))
(+.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 2 (.f64 2 x)))) (/.f64 (pow.f64 F 3) (.f64 (sin.f64 B) (+.f64 (.f64 2 x) 2))))) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (+.f64 2 (.f64 2 x))) (/.f64 (.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)) (pow.f64 F 5)) (sin.f64 B)))) (.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (.f64 2 x) 2))))))
(+.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 2 (.f64 2 x)))) (/.f64 (pow.f64 F 3) (.f64 (sin.f64 B) (+.f64 (.f64 2 x) 2))))) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (+.f64 2 (.f64 2 x))) (/.f64 (.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)) (pow.f64 F 5)) (sin.f64 B)))) (+.f64 (.f64 -1/2 (.f64 (sqrt.f64 (+.f64 2 (.f64 2 x))) (/.f64 (.f64 (+.f64 (/.f64 1 (.f64 (pow.f64 (+.f64 2 (.f64 2 x)) 2) (pow.f64 (+.f64 (.f64 2 x) 2) 2))) (.f64 -1/2 (/.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)) (+.f64 2 (.f64 2 x))))) (pow.f64 F 7)) (sin.f64 B)))) (.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (.f64 2 x) 2)))))))
(/.f64 1 (sin.f64 B))
(+.f64 (.f64 -1/2 (/.f64 (+.f64 (.f64 2 x) 2) (*.f64 (sin.f64 B) (pow.f64 F 2)))) (/.f64 1 (sin.f64 B)))
(+.f64 (.f64 -1/2 (/.f64 (+.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 (.f64 -1/2 (/.f64 (+.f64 (.f64 2 x) 2) (*.f64 (sin.f64 B) (pow.f64 F 2)))) (/.f64 1 (sin.f64 B))))
(+.f64 (.f64 -1/2 (/.f64 (+.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 (.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 (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 (.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 1/2 (/.f64 (+.f64 2 (.f64 2 x)) (*.f64 (sin.f64 B) (pow.f64 F 2))))) (/.f64 1 (sin.f64 B)))
(-.f64 (+.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 (.f64 1/2 (/.f64 (+.f64 2 (.f64 2 x)) (.f64 (sin.f64 B) (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))))) (*.f64 (sin.f64 B) (pow.f64 F 6)))))) (/.f64 1 (sin.f64 B)))
(*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) 2))))
(+.f64 (.f64 (/.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 (.f64 2 x) 2) (pow.f64 F 2))))
(+.f64 1 (+.f64 (.f64 -1/2 (/.f64 (+.f64 (.f64 -1 (pow.f64 (+.f64 (.f64 2 x) 2) 2)) (pow.f64 (.f64 -1/2 (+.f64 2 (.f64 2 x))) 2)) (pow.f64 F 4))) (.f64 -1/2 (/.f64 (+.f64 (*.f64 2 x) 2) (pow.f64 F 2)))))
(+.f64 1 (+.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 (.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))) (.f64 -1/2 (/.f64 (+.f64 (.f64 2 x) 2) (pow.f64 F 2))))))
-1
(-.f64 (.f64 1/2 (/.f64 (+.f64 2 (.f64 2 x)) (pow.f64 F 2))) 1)
(-.f64 (+.f64 (.f64 1/2 (/.f64 (+.f64 2 (.f64 2 x)) (pow.f64 F 2))) (.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)))) 1)
(-.f64 (+.f64 (.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 1/2 (/.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 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
(sqrt.f64 (/.f64 1 (+.f64 (*.f64 2 x) 2)))
(sqrt.f64 (/.f64 1 (fma.f64 2 x 2)))
(+.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 2 x) 2) 3))) (pow.f64 F 2))) (sqrt.f64 (/.f64 1 (+.f64 (.f64 2 x) 2))))
(fma.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 2 x 2) 3))) (.f64 F F)) (sqrt.f64 (/.f64 1 (fma.f64 2 x 2))))
(+.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 2 x) 2) 3))) (pow.f64 F 2))) (+.f64 (.f64 3/8 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 2 x) 2) 5))) (pow.f64 F 4))) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 2 x) 2)))))
(fma.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 2 x 2) 3))) (.f64 F F)) (fma.f64 3/8 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 2 x 2) 5))) (pow.f64 F 4)) (sqrt.f64 (/.f64 1 (fma.f64 2 x 2)))))
(fma.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 2 x 2) 3))) (.f64 F F)) (fma.f64 (*.f64 3/8 (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 2 x 2) 5)))) (pow.f64 F 4) (sqrt.f64 (/.f64 1 (fma.f64 2 x 2)))))
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(+.f64 (.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 x 2))) (+.f64 F (.f64 -1/2 (/.f64 (pow.f64 F 3) (fma.f64 2 x 2))))) (.f64 1/2 (.f64 (pow.f64 F 5) (.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)) (sqrt.f64 (fma.f64 2 x 2))))))
(+.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))))
(fma.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 x 2))) (/.f64 (pow.f64 F 3) (fma.f64 2 x 2))) (fma.f64 -1/2 (.f64 (.f64 (sqrt.f64 (fma.f64 2 x 2)) (pow.f64 F 7)) (fma.f64 -1/2 (/.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))) (/.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 (/.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))) (/.f64 1 (fma.f64 2 x 2)))) 2)) (.f64 (pow.f64 F 5) (sqrt.f64 (fma.f64 2 x 2)))) (*.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 x 2))) F))))
(+.f64 (fma.f64 (.f64 -1/2 (sqrt.f64 (fma.f64 2 x 2))) (.f64 (pow.f64 F 7) (fma.f64 -1/2 (-.f64 (/.f64 1 (pow.f64 (fma.f64 2 x 2) 4)) (/.f64 (pow.f64 (.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 x 2))) (/.f64 -1/2 (fma.f64 2 x 2))) 2) (fma.f64 2 x 2))) (/.f64 1 (pow.f64 (fma.f64 2 x 2) 4)))) (.f64 1/2 (.f64 (pow.f64 F 5) (.f64 (-.f64 (/.f64 1 (pow.f64 (fma.f64 2 x 2) 3)) (pow.f64 (.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 x 2))) (/.f64 -1/2 (fma.f64 2 x 2))) 2)) (sqrt.f64 (fma.f64 2 x 2)))))) (.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 x 2))) (+.f64 F (*.f64 -1/2 (/.f64 (pow.f64 F 3) (fma.f64 2 x 2))))))
(+.f64 (.f64 (sqrt.f64 (fma.f64 2 x 2)) (+.f64 (.f64 (.f64 1/2 (-.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))) (pow.f64 F 5)) (.f64 -1/2 (.f64 (pow.f64 F 7) (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 (sqrt.f64 (/.f64 1 (fma.f64 2 x 2))) (+.f64 F (*.f64 -1/2 (/.f64 (pow.f64 F 3) (fma.f64 2 x 2))))))
1
(+.f64 1 (.f64 -1/2 (/.f64 (+.f64 (.f64 2 x) 2) (pow.f64 F 2))))
(+.f64 1 (.f64 -1/2 (/.f64 (fma.f64 2 x 2) (.f64 F F))))
(fma.f64 -1/2 (/.f64 (fma.f64 2 x 2) (*.f64 F F)) 1)
(+.f64 1 (/.f64 (-.f64 -1 x) (*.f64 F F)))
(+.f64 1 (+.f64 (.f64 -1/2 (/.f64 (+.f64 (.f64 -1 (pow.f64 (+.f64 (.f64 2 x) 2) 2)) (pow.f64 (.f64 -1/2 (+.f64 2 (.f64 2 x))) 2)) (pow.f64 F 4))) (.f64 -1/2 (/.f64 (+.f64 (*.f64 2 x) 2) (pow.f64 F 2)))))
(+.f64 1 (.f64 -1/2 (+.f64 (/.f64 (fma.f64 -1 (pow.f64 (fma.f64 2 x 2) 2) (pow.f64 (.f64 (fma.f64 2 x 2) -1/2) 2)) (pow.f64 F 4)) (/.f64 (fma.f64 2 x 2) (*.f64 F F)))))
(fma.f64 -1/2 (+.f64 (/.f64 (fma.f64 2 x 2) (*.f64 F F)) (/.f64 (-.f64 (pow.f64 (+.f64 -1 (neg.f64 x)) 2) (pow.f64 (fma.f64 2 x 2) 2)) (pow.f64 F 4))) 1)
(+.f64 1 (fma.f64 -1/2 (/.f64 (.f64 (pow.f64 (fma.f64 2 x 2) 2) -3/4) (pow.f64 F 4)) (/.f64 (-.f64 -1 x) (.f64 F F))))
(+.f64 1 (+.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 (.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))) (.f64 -1/2 (/.f64 (+.f64 (.f64 2 x) 2) (pow.f64 F 2))))))
(+.f64 1 (fma.f64 -1/2 (/.f64 (fma.f64 1/2 (.f64 (fma.f64 2 x 2) (fma.f64 -1 (pow.f64 (fma.f64 2 x 2) 2) (pow.f64 (.f64 (fma.f64 2 x 2) -1/2) 2))) (pow.f64 (fma.f64 2 x 2) 3)) (pow.f64 F 6)) (.f64 -1/2 (+.f64 (/.f64 (fma.f64 -1 (pow.f64 (fma.f64 2 x 2) 2) (pow.f64 (.f64 (fma.f64 2 x 2) -1/2) 2)) (pow.f64 F 4)) (/.f64 (fma.f64 2 x 2) (*.f64 F F))))))
(+.f64 1 (fma.f64 -1/2 (/.f64 (fma.f64 (.f64 (fma.f64 2 x 2) 1/2) (-.f64 (pow.f64 (+.f64 -1 (neg.f64 x)) 2) (pow.f64 (fma.f64 2 x 2) 2)) (pow.f64 (fma.f64 2 x 2) 3)) (pow.f64 F 6)) (fma.f64 -1/2 (/.f64 (-.f64 (pow.f64 (+.f64 -1 (neg.f64 x)) 2) (pow.f64 (fma.f64 2 x 2) 2)) (pow.f64 F 4)) (/.f64 (+.f64 -1 (neg.f64 x)) (.f64 F F)))))
(+.f64 1 (fma.f64 -1/2 (/.f64 (fma.f64 (.f64 (fma.f64 2 x 2) 1/2) (.f64 (pow.f64 (fma.f64 2 x 2) 2) -3/4) (pow.f64 (fma.f64 2 x 2) 3)) (pow.f64 F 6)) (fma.f64 -1/2 (/.f64 (.f64 (pow.f64 (fma.f64 2 x 2) 2) -3/4) (pow.f64 F 4)) (/.f64 (-.f64 -1 x) (.f64 F F)))))
-1
(-.f64 (.f64 1/2 (/.f64 (+.f64 2 (.f64 2 x)) (pow.f64 F 2))) 1)
(fma.f64 1/2 (/.f64 (fma.f64 2 x 2) (*.f64 F F)) -1)
(-.f64 (+.f64 (.f64 1/2 (/.f64 (+.f64 2 (.f64 2 x)) (pow.f64 F 2))) (.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)))) 1)
(+.f64 (.f64 1/2 (+.f64 (/.f64 (fma.f64 2 x 2) (.f64 F F)) (/.f64 (fma.f64 -1 (pow.f64 (fma.f64 2 x 2) 2) (pow.f64 (*.f64 (fma.f64 2 x 2) -1/2) 2)) (pow.f64 F 4)))) -1)
(fma.f64 1/2 (+.f64 (/.f64 (fma.f64 2 x 2) (*.f64 F F)) (/.f64 (-.f64 (pow.f64 (+.f64 -1 (neg.f64 x)) 2) (pow.f64 (fma.f64 2 x 2) 2)) (pow.f64 F 4))) -1)
(fma.f64 1/2 (+.f64 (/.f64 (fma.f64 2 x 2) (.f64 F F)) (/.f64 (.f64 (pow.f64 (fma.f64 2 x 2) 2) -3/4) (pow.f64 F 4))) -1)
(-.f64 (+.f64 (.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 1/2 (/.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 (fma.f64 1/2 (/.f64 (fma.f64 2 x 2) (.f64 F F)) (.f64 1/2 (+.f64 (/.f64 (fma.f64 -1 (pow.f64 (fma.f64 2 x 2) 2) (pow.f64 (.f64 (fma.f64 2 x 2) -1/2) 2)) (pow.f64 F 4)) (/.f64 (fma.f64 1/2 (.f64 (fma.f64 2 x 2) (fma.f64 -1 (pow.f64 (fma.f64 2 x 2) 2) (pow.f64 (*.f64 (fma.f64 2 x 2) -1/2) 2))) (pow.f64 (fma.f64 2 x 2) 3)) (pow.f64 F 6))))) -1)
(fma.f64 1/2 (/.f64 (fma.f64 2 x 2) (.f64 F F)) (fma.f64 1/2 (+.f64 (/.f64 (fma.f64 (.f64 (fma.f64 2 x 2) 1/2) (-.f64 (pow.f64 (+.f64 -1 (neg.f64 x)) 2) (pow.f64 (fma.f64 2 x 2) 2)) (pow.f64 (fma.f64 2 x 2) 3)) (pow.f64 F 6)) (/.f64 (-.f64 (pow.f64 (+.f64 -1 (neg.f64 x)) 2) (pow.f64 (fma.f64 2 x 2) 2)) (pow.f64 F 4))) -1))
(fma.f64 1/2 (+.f64 (/.f64 (fma.f64 2 x 2) (.f64 F F)) (+.f64 (/.f64 (fma.f64 (.f64 (fma.f64 2 x 2) 1/2) (.f64 (pow.f64 (fma.f64 2 x 2) 2) -3/4) (pow.f64 (fma.f64 2 x 2) 3)) (pow.f64 F 6)) (/.f64 (.f64 (pow.f64 (fma.f64 2 x 2) 2) -3/4) (pow.f64 F 4)))) -1)
(*.f64 F (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) 2))))
(.f64 F (sqrt.f64 (/.f64 1 (+.f64 2 (.f64 F F)))))
(*.f64 F (sqrt.f64 (/.f64 1 (fma.f64 F F 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)))))
(fma.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 2 (.f64 F F)) 3))) (.f64 x F)) (.f64 F (sqrt.f64 (/.f64 1 (+.f64 2 (*.f64 F F))))))
(-.f64 (.f64 F (sqrt.f64 (/.f64 1 (fma.f64 F F 2)))) (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 F F 2) 3))) (*.f64 x F)))
(.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))))))
(+.f64 (.f64 -1 (.f64 (.f64 F x) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) 2) 3))))) (+.f64 (.f64 1/2 (.f64 (.f64 F (.f64 (-.f64 (.f64 4 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) 2) 3))) (pow.f64 (.f64 -1 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) 2) 3)))) 2)) (pow.f64 x 2))) (sqrt.f64 (+.f64 (pow.f64 F 2) 2)))) (.f64 F (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) 2))))))
(fma.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 2 (.f64 F F)) 3))) (.f64 x F)) (fma.f64 1/2 (.f64 (.f64 F (.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)))) (sqrt.f64 (+.f64 2 (.f64 F F)))) (.f64 F (sqrt.f64 (/.f64 1 (+.f64 2 (.f64 F F)))))))
(-.f64 (fma.f64 F (sqrt.f64 (/.f64 1 (fma.f64 F F 2))) (.f64 1/2 (.f64 (.f64 F (-.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 x x) (sqrt.f64 (fma.f64 F F 2)))))) (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 F F 2) 3))) (*.f64 x F)))
(+.f64 (.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)))))) (.f64 (.f64 (-.f64 (/.f64 4 (pow.f64 (fma.f64 F F 2) 3)) (/.f64 1 (pow.f64 (fma.f64 F F 2) 3))) (.f64 (.f64 x x) F)) (*.f64 (sqrt.f64 (fma.f64 F F 2)) 1/2)))
(+.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)))))))
(fma.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 2 (.f64 F F)) 3))) (.f64 x F)) (fma.f64 1/2 (.f64 (.f64 F (.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)))) (sqrt.f64 (+.f64 2 (.f64 F F)))) (fma.f64 -1/2 (.f64 F (.f64 (.f64 (pow.f64 x 3) (+.f64 (/.f64 8 (pow.f64 (+.f64 2 (.f64 F F)) 4)) (neg.f64 (/.f64 (-.f64 (/.f64 4 (pow.f64 (+.f64 2 (.f64 F F)) 3)) (pow.f64 (neg.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 2 (.f64 F F)) 3)))) 2)) (+.f64 2 (.f64 F F)))))) (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 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 F) (.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 (.f64 F (sqrt.f64 (/.f64 1 (fma.f64 F F 2)))) (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 F F 2) 3))) (*.f64 x F))))
(+.f64 (.f64 (sqrt.f64 (fma.f64 F F 2)) (.f64 F (+.f64 (.f64 1/2 (.f64 (.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 (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 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)))))))

localize6.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 -1 (sin.f64 B))

Compiler

Compiled 11 to 7 computations (36.4% saved)

series3.0ms (0%)

Counts

1 → 4

Calls

3 calls:

Time	Variable		Point	Expression
2.0ms	B	@	inf	(/.f64 -1 (sin.f64 B))
1.0ms	B	@	-inf	(/.f64 -1 (sin.f64 B))
0.0ms	B	@	0	(/.f64 -1 (sin.f64 B))

rewrite33.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

457×	`pow1_binary64`
440×	`add-sqr-sqrt_binary64`
434×	`*-un-lft-identity_binary64`
419×	`add-log-exp_binary64`
419×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	6
1	99	6
2	1142	6

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

Inputs
(/.f64 -1 (sin.f64 B))

Outputs

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

simplify69.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

523×	`cancel-sign-sub-inv_binary64`
522×	`fma-def_binary64`
441×	`neg-mul-1_binary64`
430×	`neg-sub0_binary64`
416×	`unswap-sqr_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	21	55
1	51	49
2	112	49
3	305	49
4	718	49
5	1827	49
6	4135	49
7	5444	49
8	6815	49

Stop Event

1×	node limit

Counts

25 → 28

Calls

Call 1

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

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

localize24.0ms (0%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(/.f64 F (sin.f64 B))
	0.1b	(/.f64 1 (tan.f64 B))
	0.3b	(*.f64 x (/.f64 1 (tan.f64 B)))
✓	7.9b	(*.f64 (/.f64 F (sin.f64 B)) (/.f64 -1 F))

Compiler

Compiled 60 to 30 computations (50% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	F	@	0	(*.f64 (/.f64 F (sin.f64 B)) (/.f64 -1 F))
0.0ms	F	@	-inf	(*.f64 (/.f64 F (sin.f64 B)) (/.f64 -1 F))
0.0ms	B	@	-inf	(*.f64 (/.f64 F (sin.f64 B)) (/.f64 -1 F))
0.0ms	B	@	0	(*.f64 (/.f64 F (sin.f64 B)) (/.f64 -1 F))
0.0ms	F	@	inf	(*.f64 (/.f64 F (sin.f64 B)) (/.f64 -1 F))

rewrite47.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

913×	`pow1_binary64`
843×	`add-log-exp_binary64`
843×	`log1p-expm1-u_binary64`
843×	`expm1-log1p-u_binary64`
824×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	12
1	170	11
2	2352	11

Stop Event

1×	node limit

Counts

1 → 44

Calls

Call 1

Inputs
(*.f64 (/.f64 F (sin.f64 B)) (/.f64 -1 F))

Outputs

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

simplify74.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

524×	`fma-def_binary64`
523×	`cancel-sign-sub-inv_binary64`
442×	`neg-mul-1_binary64`
431×	`neg-sub0_binary64`
416×	`unswap-sqr_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	23	175
1	53	169
2	114	169
3	311	169
4	732	169
5	1846	169
6	4159	169
7	5467	169
8	6856	169

Stop Event

1×	node limit

Counts

68 → 52

Calls

Call 1

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

Outputs
(/.f64 -1 (sin.f64 B))
(/.f64 -1 (sin.f64 B))
(/.f64 -1 (sin.f64 B))
(/.f64 -1 (sin.f64 B))
(/.f64 -1 (sin.f64 B))
(/.f64 -1 (sin.f64 B))
(/.f64 -1 (sin.f64 B))
(/.f64 -1 (sin.f64 B))
(/.f64 -1 (sin.f64 B))
(/.f64 -1 (sin.f64 B))
(/.f64 -1 (sin.f64 B))
(/.f64 -1 (sin.f64 B))
(/.f64 -1 B)
(-.f64 (*.f64 -1/6 B) (/.f64 1 B))
(-.f64 (*.f64 B -1/6) (/.f64 1 B))
(fma.f64 B -1/6 (/.f64 -1 B))
(-.f64 (+.f64 (.f64 -7/360 (pow.f64 B 3)) (.f64 -1/6 B)) (/.f64 1 B))
(-.f64 (fma.f64 -7/360 (pow.f64 B 3) (*.f64 B -1/6)) (/.f64 1 B))
(fma.f64 -7/360 (pow.f64 B 3) (fma.f64 B -1/6 (/.f64 -1 B)))
(fma.f64 B -1/6 (fma.f64 -7/360 (pow.f64 B 3) (/.f64 -1 B)))
(fma.f64 B (fma.f64 B (*.f64 B -7/360) -1/6) (/.f64 -1 B))
(-.f64 (+.f64 (.f64 -31/15120 (pow.f64 B 5)) (+.f64 (.f64 -7/360 (pow.f64 B 3)) (*.f64 -1/6 B))) (/.f64 1 B))
(-.f64 (fma.f64 -31/15120 (pow.f64 B 5) (fma.f64 -7/360 (pow.f64 B 3) (*.f64 B -1/6))) (/.f64 1 B))
(fma.f64 -31/15120 (pow.f64 B 5) (fma.f64 -7/360 (pow.f64 B 3) (fma.f64 B -1/6 (/.f64 -1 B))))
(fma.f64 -31/15120 (pow.f64 B 5) (fma.f64 B -1/6 (fma.f64 -7/360 (pow.f64 B 3) (/.f64 -1 B))))
(fma.f64 B -1/6 (fma.f64 -7/360 (pow.f64 B 3) (fma.f64 -31/15120 (pow.f64 B 5) (/.f64 -1 B))))
(/.f64 -1 (sin.f64 B))
(/.f64 -1 (sin.f64 B))
(/.f64 -1 (sin.f64 B))
(/.f64 -1 (sin.f64 B))
(/.f64 -1 (sin.f64 B))
(/.f64 -1 (sin.f64 B))
(/.f64 -1 (sin.f64 B))
(/.f64 -1 (sin.f64 B))

localize20.0ms (0%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.1b	(/.f64 F (sin.f64 B))
	0.2b	(/.f64 (neg.f64 x) (tan.f64 B))
✓	7.8b	(fma.f64 (/.f64 F (sin.f64 B)) (/.f64 -1 F) (/.f64 (neg.f64 x) (tan.f64 B)))

Compiler

Compiled 38 to 14 computations (63.2% saved)

series6.0ms (0%)

Counts

1 → 36

Calls

9 calls:

Time	Variable		Point	Expression
2.0ms	F	@	0	(fma.f64 (/.f64 F (sin.f64 B)) (/.f64 -1 F) (/.f64 (neg.f64 x) (tan.f64 B)))
1.0ms	F	@	inf	(fma.f64 (/.f64 F (sin.f64 B)) (/.f64 -1 F) (/.f64 (neg.f64 x) (tan.f64 B)))
1.0ms	B	@	0	(fma.f64 (/.f64 F (sin.f64 B)) (/.f64 -1 F) (/.f64 (neg.f64 x) (tan.f64 B)))
1.0ms	B	@	inf	(fma.f64 (/.f64 F (sin.f64 B)) (/.f64 -1 F) (/.f64 (neg.f64 x) (tan.f64 B)))
1.0ms	x	@	0	(fma.f64 (/.f64 F (sin.f64 B)) (/.f64 -1 F) (/.f64 (neg.f64 x) (tan.f64 B)))

rewrite193.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

594×	`log-prod_binary64`
342×	`prod-diff_binary64`
313×	`pow2_binary64`
219×	`pow1/3_binary64`
215×	`expm1-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	20
1	254	18
2	3478	18

Stop Event

1×	node limit

Counts

1 → 208

Calls

Call 1

Inputs
(fma.f64 (/.f64 F (sin.f64 B)) (/.f64 -1 F) (/.f64 (neg.f64 x) (tan.f64 B)))

Outputs

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

simplify96.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

676×	`sub-neg_binary64`
416×	`distribute-rgt-in_binary64`
412×	`distribute-lft-in_binary64`
391×	`distribute-neg-in_binary64`
372×	`associate--l+_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	64	769
1	173	727
2	475	683
3	2013	670
4	6169	612

Stop Event

1×	node limit

Counts

244 → 221

Calls

Call 1

Inputs
(-.f64 (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))) (/.f64 1 (sin.f64 B)))
(-.f64 (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))) (/.f64 1 (sin.f64 B)))
(-.f64 (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))) (/.f64 1 (sin.f64 B)))
(-.f64 (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))) (/.f64 1 (sin.f64 B)))
(-.f64 (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))) (/.f64 1 (sin.f64 B)))
(-.f64 (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))) (/.f64 1 (sin.f64 B)))
(-.f64 (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))) (/.f64 1 (sin.f64 B)))
(-.f64 (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))) (/.f64 1 (sin.f64 B)))
(-.f64 (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))) (/.f64 1 (sin.f64 B)))
(-.f64 (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))) (/.f64 1 (sin.f64 B)))
(-.f64 (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))) (/.f64 1 (sin.f64 B)))
(-.f64 (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))) (/.f64 1 (sin.f64 B)))
(/.f64 (-.f64 (*.f64 -1 x) 1) B)
(-.f64 (+.f64 (.f64 (-.f64 (.f64 1/3 x) 1/6) B) (*.f64 -1 (/.f64 x B))) (/.f64 1 B))
(-.f64 (+.f64 (.f64 (-.f64 (.f64 1/3 x) 1/6) B) (+.f64 (.f64 -1 (/.f64 x B)) (.f64 (-.f64 (+.f64 (.f64 -1/9 x) (.f64 2/15 x)) 7/360) (pow.f64 B 3)))) (/.f64 1 B))
(-.f64 (+.f64 (.f64 (-.f64 (.f64 1/3 x) 1/6) B) (+.f64 (.f64 (+.f64 (.f64 17/315 x) (+.f64 1/840 (+.f64 (.f64 1/6 (/.f64 (+.f64 (.f64 1/120 F) (.f64 -1/36 F)) F)) (+.f64 (.f64 -1/3 (+.f64 (.f64 -1/9 x) (.f64 2/15 x))) (.f64 -2/45 x))))) (pow.f64 B 5)) (+.f64 (.f64 -1 (/.f64 x B)) (.f64 (-.f64 (+.f64 (.f64 -1/9 x) (*.f64 2/15 x)) 7/360) (pow.f64 B 3))))) (/.f64 1 B))
(-.f64 (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))) (/.f64 1 (sin.f64 B)))
(-.f64 (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))) (/.f64 1 (sin.f64 B)))
(-.f64 (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))) (/.f64 1 (sin.f64 B)))
(-.f64 (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))) (/.f64 1 (sin.f64 B)))
(-.f64 (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))) (/.f64 1 (sin.f64 B)))
(-.f64 (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))) (/.f64 1 (sin.f64 B)))
(-.f64 (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))) (/.f64 1 (sin.f64 B)))
(-.f64 (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))) (/.f64 1 (sin.f64 B)))
(/.f64 -1 (sin.f64 B))
(-.f64 (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))) (/.f64 1 (sin.f64 B)))
(-.f64 (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))) (/.f64 1 (sin.f64 B)))
(-.f64 (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))) (/.f64 1 (sin.f64 B)))
(.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))) (/.f64 1 (sin.f64 B)))
(-.f64 (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))) (/.f64 1 (sin.f64 B)))
(-.f64 (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))) (/.f64 1 (sin.f64 B)))
(.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))) (/.f64 1 (sin.f64 B)))
(-.f64 (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))) (/.f64 1 (sin.f64 B)))
(-.f64 (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))) (/.f64 1 (sin.f64 B)))

Outputs
(-.f64 (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))) (/.f64 1 (sin.f64 B)))
(-.f64 (neg.f64 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) (/.f64 1 (sin.f64 B)))
(fma.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)) (/.f64 -1 (sin.f64 B)))
(-.f64 (/.f64 -1 (sin.f64 B)) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B))))
(-.f64 (/.f64 -1 (sin.f64 B)) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(.f64 (+.f64 (.f64 (cos.f64 B) x) 1) (/.f64 -1 (sin.f64 B)))
(-.f64 (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))) (/.f64 1 (sin.f64 B)))
(-.f64 (neg.f64 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) (/.f64 1 (sin.f64 B)))
(fma.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)) (/.f64 -1 (sin.f64 B)))
(-.f64 (/.f64 -1 (sin.f64 B)) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B))))
(-.f64 (/.f64 -1 (sin.f64 B)) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(.f64 (+.f64 (.f64 (cos.f64 B) x) 1) (/.f64 -1 (sin.f64 B)))
(-.f64 (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))) (/.f64 1 (sin.f64 B)))
(-.f64 (neg.f64 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) (/.f64 1 (sin.f64 B)))
(fma.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)) (/.f64 -1 (sin.f64 B)))
(-.f64 (/.f64 -1 (sin.f64 B)) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B))))
(-.f64 (/.f64 -1 (sin.f64 B)) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(.f64 (+.f64 (.f64 (cos.f64 B) x) 1) (/.f64 -1 (sin.f64 B)))
(-.f64 (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))) (/.f64 1 (sin.f64 B)))
(-.f64 (neg.f64 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) (/.f64 1 (sin.f64 B)))
(fma.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)) (/.f64 -1 (sin.f64 B)))
(-.f64 (/.f64 -1 (sin.f64 B)) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B))))
(-.f64 (/.f64 -1 (sin.f64 B)) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(.f64 (+.f64 (.f64 (cos.f64 B) x) 1) (/.f64 -1 (sin.f64 B)))
(-.f64 (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))) (/.f64 1 (sin.f64 B)))
(-.f64 (neg.f64 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) (/.f64 1 (sin.f64 B)))
(fma.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)) (/.f64 -1 (sin.f64 B)))
(-.f64 (/.f64 -1 (sin.f64 B)) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B))))
(-.f64 (/.f64 -1 (sin.f64 B)) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(.f64 (+.f64 (.f64 (cos.f64 B) x) 1) (/.f64 -1 (sin.f64 B)))
(-.f64 (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))) (/.f64 1 (sin.f64 B)))
(-.f64 (neg.f64 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) (/.f64 1 (sin.f64 B)))
(fma.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)) (/.f64 -1 (sin.f64 B)))
(-.f64 (/.f64 -1 (sin.f64 B)) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B))))
(-.f64 (/.f64 -1 (sin.f64 B)) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(.f64 (+.f64 (.f64 (cos.f64 B) x) 1) (/.f64 -1 (sin.f64 B)))
(-.f64 (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))) (/.f64 1 (sin.f64 B)))
(-.f64 (neg.f64 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) (/.f64 1 (sin.f64 B)))
(fma.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)) (/.f64 -1 (sin.f64 B)))
(-.f64 (/.f64 -1 (sin.f64 B)) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B))))
(-.f64 (/.f64 -1 (sin.f64 B)) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(.f64 (+.f64 (.f64 (cos.f64 B) x) 1) (/.f64 -1 (sin.f64 B)))
(-.f64 (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))) (/.f64 1 (sin.f64 B)))
(-.f64 (neg.f64 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) (/.f64 1 (sin.f64 B)))
(fma.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)) (/.f64 -1 (sin.f64 B)))
(-.f64 (/.f64 -1 (sin.f64 B)) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B))))
(-.f64 (/.f64 -1 (sin.f64 B)) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(.f64 (+.f64 (.f64 (cos.f64 B) x) 1) (/.f64 -1 (sin.f64 B)))
(-.f64 (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))) (/.f64 1 (sin.f64 B)))
(-.f64 (neg.f64 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) (/.f64 1 (sin.f64 B)))
(fma.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)) (/.f64 -1 (sin.f64 B)))
(-.f64 (/.f64 -1 (sin.f64 B)) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B))))
(-.f64 (/.f64 -1 (sin.f64 B)) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(.f64 (+.f64 (.f64 (cos.f64 B) x) 1) (/.f64 -1 (sin.f64 B)))
(-.f64 (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))) (/.f64 1 (sin.f64 B)))
(-.f64 (neg.f64 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) (/.f64 1 (sin.f64 B)))
(fma.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)) (/.f64 -1 (sin.f64 B)))
(-.f64 (/.f64 -1 (sin.f64 B)) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B))))
(-.f64 (/.f64 -1 (sin.f64 B)) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(.f64 (+.f64 (.f64 (cos.f64 B) x) 1) (/.f64 -1 (sin.f64 B)))
(-.f64 (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))) (/.f64 1 (sin.f64 B)))
(-.f64 (neg.f64 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) (/.f64 1 (sin.f64 B)))
(fma.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)) (/.f64 -1 (sin.f64 B)))
(-.f64 (/.f64 -1 (sin.f64 B)) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B))))
(-.f64 (/.f64 -1 (sin.f64 B)) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(.f64 (+.f64 (.f64 (cos.f64 B) x) 1) (/.f64 -1 (sin.f64 B)))
(-.f64 (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))) (/.f64 1 (sin.f64 B)))
(-.f64 (neg.f64 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) (/.f64 1 (sin.f64 B)))
(fma.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)) (/.f64 -1 (sin.f64 B)))
(-.f64 (/.f64 -1 (sin.f64 B)) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B))))
(-.f64 (/.f64 -1 (sin.f64 B)) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(.f64 (+.f64 (.f64 (cos.f64 B) x) 1) (/.f64 -1 (sin.f64 B)))
(/.f64 (-.f64 (*.f64 -1 x) 1) B)
(/.f64 (fma.f64 -1 x -1) B)
(/.f64 (-.f64 -1 x) B)
(-.f64 (+.f64 (.f64 (-.f64 (.f64 1/3 x) 1/6) B) (*.f64 -1 (/.f64 x B))) (/.f64 1 B))
(+.f64 (*.f64 B (fma.f64 1/3 x -1/6)) (/.f64 (fma.f64 -1 x -1) B))
(fma.f64 B (fma.f64 x 1/3 -1/6) (/.f64 (fma.f64 -1 x -1) B))
(fma.f64 B (fma.f64 x 1/3 -1/6) (/.f64 (-.f64 -1 x) B))
(-.f64 (+.f64 (.f64 (-.f64 (.f64 1/3 x) 1/6) B) (+.f64 (.f64 -1 (/.f64 x B)) (.f64 (-.f64 (+.f64 (.f64 -1/9 x) (.f64 2/15 x)) 7/360) (pow.f64 B 3)))) (/.f64 1 B))
(-.f64 (fma.f64 (fma.f64 1/3 x -1/6) B (fma.f64 -1 (/.f64 x B) (.f64 (+.f64 (.f64 x 1/45) -7/360) (pow.f64 B 3)))) (/.f64 1 B))
(fma.f64 B (fma.f64 x 1/3 -1/6) (+.f64 (*.f64 (fma.f64 x 1/45 -7/360) (pow.f64 B 3)) (/.f64 (fma.f64 -1 x -1) B)))
(fma.f64 B (fma.f64 x 1/3 -1/6) (fma.f64 (fma.f64 x 1/45 -7/360) (pow.f64 B 3) (/.f64 (-.f64 -1 x) B)))
(-.f64 (+.f64 (.f64 (-.f64 (.f64 1/3 x) 1/6) B) (+.f64 (.f64 (+.f64 (.f64 17/315 x) (+.f64 1/840 (+.f64 (.f64 1/6 (/.f64 (+.f64 (.f64 1/120 F) (.f64 -1/36 F)) F)) (+.f64 (.f64 -1/3 (+.f64 (.f64 -1/9 x) (.f64 2/15 x))) (.f64 -2/45 x))))) (pow.f64 B 5)) (+.f64 (.f64 -1 (/.f64 x B)) (.f64 (-.f64 (+.f64 (.f64 -1/9 x) (*.f64 2/15 x)) 7/360) (pow.f64 B 3))))) (/.f64 1 B))
(-.f64 (fma.f64 (fma.f64 1/3 x -1/6) B (fma.f64 (fma.f64 17/315 x (+.f64 1/840 (fma.f64 1/6 (/.f64 (.f64 F -7/360) F) (fma.f64 -1/3 (.f64 x 1/45) (.f64 x -2/45))))) (pow.f64 B 5) (fma.f64 -1 (/.f64 x B) (.f64 (+.f64 (*.f64 x 1/45) -7/360) (pow.f64 B 3))))) (/.f64 1 B))
(+.f64 (fma.f64 B (fma.f64 x 1/3 -1/6) (fma.f64 (+.f64 (fma.f64 1/6 (/.f64 F (/.f64 F -7/360)) (fma.f64 x -2/45 (*.f64 x -1/135))) (fma.f64 x 17/315 1/840)) (pow.f64 B 5) (fma.f64 (fma.f64 x 1/45 -7/360) (pow.f64 B 3) (/.f64 (neg.f64 x) B)))) (/.f64 -1 B))
(fma.f64 B (fma.f64 x 1/3 -1/6) (fma.f64 (+.f64 1/840 (fma.f64 x 17/315 (+.f64 (/.f64 (.f64 F -7/2160) F) (.f64 x -7/135)))) (pow.f64 B 5) (fma.f64 (fma.f64 x 1/45 -7/360) (pow.f64 B 3) (/.f64 (-.f64 -1 x) B))))
(fma.f64 B (fma.f64 x 1/3 -1/6) (fma.f64 (+.f64 -31/15120 (*.f64 x 2/945)) (pow.f64 B 5) (fma.f64 (fma.f64 x 1/45 -7/360) (pow.f64 B 3) (/.f64 (-.f64 -1 x) B))))
(-.f64 (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))) (/.f64 1 (sin.f64 B)))
(-.f64 (neg.f64 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) (/.f64 1 (sin.f64 B)))
(fma.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)) (/.f64 -1 (sin.f64 B)))
(-.f64 (/.f64 -1 (sin.f64 B)) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B))))
(-.f64 (/.f64 -1 (sin.f64 B)) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(.f64 (+.f64 (.f64 (cos.f64 B) x) 1) (/.f64 -1 (sin.f64 B)))
(-.f64 (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))) (/.f64 1 (sin.f64 B)))
(-.f64 (neg.f64 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) (/.f64 1 (sin.f64 B)))
(fma.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)) (/.f64 -1 (sin.f64 B)))
(-.f64 (/.f64 -1 (sin.f64 B)) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B))))
(-.f64 (/.f64 -1 (sin.f64 B)) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(.f64 (+.f64 (.f64 (cos.f64 B) x) 1) (/.f64 -1 (sin.f64 B)))
(-.f64 (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))) (/.f64 1 (sin.f64 B)))
(-.f64 (neg.f64 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) (/.f64 1 (sin.f64 B)))
(fma.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)) (/.f64 -1 (sin.f64 B)))
(-.f64 (/.f64 -1 (sin.f64 B)) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B))))
(-.f64 (/.f64 -1 (sin.f64 B)) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(.f64 (+.f64 (.f64 (cos.f64 B) x) 1) (/.f64 -1 (sin.f64 B)))
(-.f64 (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))) (/.f64 1 (sin.f64 B)))
(-.f64 (neg.f64 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) (/.f64 1 (sin.f64 B)))
(fma.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)) (/.f64 -1 (sin.f64 B)))
(-.f64 (/.f64 -1 (sin.f64 B)) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B))))
(-.f64 (/.f64 -1 (sin.f64 B)) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(.f64 (+.f64 (.f64 (cos.f64 B) x) 1) (/.f64 -1 (sin.f64 B)))
(-.f64 (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))) (/.f64 1 (sin.f64 B)))
(-.f64 (neg.f64 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) (/.f64 1 (sin.f64 B)))
(fma.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)) (/.f64 -1 (sin.f64 B)))
(-.f64 (/.f64 -1 (sin.f64 B)) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B))))
(-.f64 (/.f64 -1 (sin.f64 B)) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(.f64 (+.f64 (.f64 (cos.f64 B) x) 1) (/.f64 -1 (sin.f64 B)))
(-.f64 (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))) (/.f64 1 (sin.f64 B)))
(-.f64 (neg.f64 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) (/.f64 1 (sin.f64 B)))
(fma.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)) (/.f64 -1 (sin.f64 B)))
(-.f64 (/.f64 -1 (sin.f64 B)) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B))))
(-.f64 (/.f64 -1 (sin.f64 B)) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(.f64 (+.f64 (.f64 (cos.f64 B) x) 1) (/.f64 -1 (sin.f64 B)))
(-.f64 (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))) (/.f64 1 (sin.f64 B)))
(-.f64 (neg.f64 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) (/.f64 1 (sin.f64 B)))
(fma.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)) (/.f64 -1 (sin.f64 B)))
(-.f64 (/.f64 -1 (sin.f64 B)) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B))))
(-.f64 (/.f64 -1 (sin.f64 B)) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(.f64 (+.f64 (.f64 (cos.f64 B) x) 1) (/.f64 -1 (sin.f64 B)))
(-.f64 (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))) (/.f64 1 (sin.f64 B)))
(-.f64 (neg.f64 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) (/.f64 1 (sin.f64 B)))
(fma.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)) (/.f64 -1 (sin.f64 B)))
(-.f64 (/.f64 -1 (sin.f64 B)) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B))))
(-.f64 (/.f64 -1 (sin.f64 B)) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(.f64 (+.f64 (.f64 (cos.f64 B) x) 1) (/.f64 -1 (sin.f64 B)))
(/.f64 -1 (sin.f64 B))
(-.f64 (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))) (/.f64 1 (sin.f64 B)))
(-.f64 (neg.f64 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) (/.f64 1 (sin.f64 B)))
(fma.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)) (/.f64 -1 (sin.f64 B)))
(-.f64 (/.f64 -1 (sin.f64 B)) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B))))
(-.f64 (/.f64 -1 (sin.f64 B)) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(.f64 (+.f64 (.f64 (cos.f64 B) x) 1) (/.f64 -1 (sin.f64 B)))
(-.f64 (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))) (/.f64 1 (sin.f64 B)))
(-.f64 (neg.f64 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) (/.f64 1 (sin.f64 B)))
(fma.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)) (/.f64 -1 (sin.f64 B)))
(-.f64 (/.f64 -1 (sin.f64 B)) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B))))
(-.f64 (/.f64 -1 (sin.f64 B)) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(.f64 (+.f64 (.f64 (cos.f64 B) x) 1) (/.f64 -1 (sin.f64 B)))
(-.f64 (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))) (/.f64 1 (sin.f64 B)))
(-.f64 (neg.f64 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) (/.f64 1 (sin.f64 B)))
(fma.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)) (/.f64 -1 (sin.f64 B)))
(-.f64 (/.f64 -1 (sin.f64 B)) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B))))
(-.f64 (/.f64 -1 (sin.f64 B)) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(.f64 (+.f64 (.f64 (cos.f64 B) x) 1) (/.f64 -1 (sin.f64 B)))
(.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B)))
(neg.f64 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(/.f64 (*.f64 (neg.f64 x) (cos.f64 B)) (sin.f64 B))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (neg.f64 x))
(*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B)))
(/.f64 (neg.f64 x) (/.f64 (sin.f64 B) (cos.f64 B)))
(-.f64 (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))) (/.f64 1 (sin.f64 B)))
(-.f64 (neg.f64 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) (/.f64 1 (sin.f64 B)))
(fma.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)) (/.f64 -1 (sin.f64 B)))
(-.f64 (/.f64 -1 (sin.f64 B)) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B))))
(-.f64 (/.f64 -1 (sin.f64 B)) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(.f64 (+.f64 (.f64 (cos.f64 B) x) 1) (/.f64 -1 (sin.f64 B)))
(-.f64 (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))) (/.f64 1 (sin.f64 B)))
(-.f64 (neg.f64 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) (/.f64 1 (sin.f64 B)))
(fma.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)) (/.f64 -1 (sin.f64 B)))
(-.f64 (/.f64 -1 (sin.f64 B)) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B))))
(-.f64 (/.f64 -1 (sin.f64 B)) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(.f64 (+.f64 (.f64 (cos.f64 B) x) 1) (/.f64 -1 (sin.f64 B)))
(-.f64 (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))) (/.f64 1 (sin.f64 B)))
(-.f64 (neg.f64 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) (/.f64 1 (sin.f64 B)))
(fma.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)) (/.f64 -1 (sin.f64 B)))
(-.f64 (/.f64 -1 (sin.f64 B)) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B))))
(-.f64 (/.f64 -1 (sin.f64 B)) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(.f64 (+.f64 (.f64 (cos.f64 B) x) 1) (/.f64 -1 (sin.f64 B)))
(.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B)))
(neg.f64 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(/.f64 (*.f64 (neg.f64 x) (cos.f64 B)) (sin.f64 B))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (neg.f64 x))
(*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B)))
(/.f64 (neg.f64 x) (/.f64 (sin.f64 B) (cos.f64 B)))
(-.f64 (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))) (/.f64 1 (sin.f64 B)))
(-.f64 (neg.f64 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) (/.f64 1 (sin.f64 B)))
(fma.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)) (/.f64 -1 (sin.f64 B)))
(-.f64 (/.f64 -1 (sin.f64 B)) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B))))
(-.f64 (/.f64 -1 (sin.f64 B)) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(.f64 (+.f64 (.f64 (cos.f64 B) x) 1) (/.f64 -1 (sin.f64 B)))
(-.f64 (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))) (/.f64 1 (sin.f64 B)))
(-.f64 (neg.f64 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) (/.f64 1 (sin.f64 B)))
(fma.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)) (/.f64 -1 (sin.f64 B)))
(-.f64 (/.f64 -1 (sin.f64 B)) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B))))
(-.f64 (/.f64 -1 (sin.f64 B)) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(.f64 (+.f64 (.f64 (cos.f64 B) x) 1) (/.f64 -1 (sin.f64 B)))
(-.f64 (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))) (/.f64 1 (sin.f64 B)))
(-.f64 (neg.f64 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) (/.f64 1 (sin.f64 B)))
(fma.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)) (/.f64 -1 (sin.f64 B)))
(-.f64 (/.f64 -1 (sin.f64 B)) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B))))
(-.f64 (/.f64 -1 (sin.f64 B)) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(.f64 (+.f64 (.f64 (cos.f64 B) x) 1) (/.f64 -1 (sin.f64 B)))

localize58.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 1 (/.f64 (sin.f64 B) (*.f64 F (pow.f64 (fma.f64 F F (fma.f64 2 x 2)) -1/2))))
	0.3b	(*.f64 x (/.f64 1 (tan.f64 B)))
✓	0.5b	(/.f64 (sin.f64 B) (*.f64 F (pow.f64 (fma.f64 F F (fma.f64 2 x 2)) -1/2)))
	15.9b	(pow.f64 (fma.f64 F F (fma.f64 2 x 2)) -1/2)

Compiler

Compiled 115 to 70 computations (39.1% saved)

series25.0ms (0%)

Counts

2 → 56

Calls

18 calls:

Time	Variable		Point	Expression
14.0ms	F	@	inf	(/.f64 (sin.f64 B) (*.f64 F (pow.f64 (fma.f64 F F (fma.f64 2 x 2)) -1/2)))
1.0ms	F	@	0	(/.f64 (sin.f64 B) (*.f64 F (pow.f64 (fma.f64 F F (fma.f64 2 x 2)) -1/2)))
1.0ms	B	@	0	(/.f64 (sin.f64 B) (*.f64 F (pow.f64 (fma.f64 F F (fma.f64 2 x 2)) -1/2)))
1.0ms	x	@	inf	(/.f64 (sin.f64 B) (*.f64 F (pow.f64 (fma.f64 F F (fma.f64 2 x 2)) -1/2)))
1.0ms	x	@	0	(/.f64 (sin.f64 B) (*.f64 F (pow.f64 (fma.f64 F F (fma.f64 2 x 2)) -1/2)))

rewrite65.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

671×	`log-prod_binary64`
360×	`pow2_binary64`
250×	`pow1/3_binary64`
248×	`expm1-udef_binary64`
248×	`log1p-udef_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	14	43
1	293	40
2	3599	38

Stop Event

1×	node limit

Counts

2 → 105

Calls

Call 1

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

Outputs

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

simplify101.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

869×	`times-frac_binary64`
663×	`associate-/l*_binary64`
479×	`distribute-rgt-in_binary64`
478×	`distribute-lft-in_binary64`
251×	`fma-def_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	276	2782
1	938	2488
2	2921	2263

Stop Event

1×	node limit

Counts

161 → 185

Calls

Call 1

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

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

eval572.0ms (1.1%)

Compiler: Compiled 35345 to 19737 computations (44.2% saved)

prune180.0ms (0.4%)

Pruning

33 alts after pruning (31 fresh and 2 done)

	Pruned	Kept	Total
New	1019	23	1042
Fresh	10	8	18
Picked	1	0	1
Done	2	2	4
Total	1032	33	1065

Error

0.0b

Counts

1065 → 33

Alt Table

Click to see full alt table

Status	Error	Program
	30.2b	(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 -1 (sin.f64 B)))
▶	55.3b	(/.f64 -1 B)
✓	50.8b	(/.f64 -1 (sin.f64 B))
	35.6b	(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 (/.f64 -1 F) (/.f64 (sin.f64 B) F)))
	50.8b	(-.f64 (+.f64 1 (/.f64 -1 (sin.f64 B))) 1)
	32.7b	(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 -1 B))
▶	30.9b	(-.f64 (/.f64 F (*.f64 (sin.f64 B) (neg.f64 F))) (/.f64 x (tan.f64 B)))
▶	49.1b	(+.f64 (neg.f64 (/.f64 x B)) (*.f64 (/.f64 F (sin.f64 B)) (/.f64 -1 F)))
	30.2b	(.f64 (+.f64 (.f64 (cos.f64 B) x) 1) (/.f64 -1 (sin.f64 B)))
	30.1b	(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 2 x) 2)))))
	33.4b	(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 (sin.f64 B)))
	36.0b	(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (*.f64 (/.f64 F (sin.f64 B)) (/.f64 -1 F)))
	30.5b	(+.f64 (neg.f64 (/.f64 x B)) (.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (.f64 F F) 2) (*.f64 2 x)) (neg.f64 (/.f64 1 2)))))
	35.6b	(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 -1 (.f64 (/.f64 (sin.f64 B) F) F)))
	13.8b	(+.f64 (neg.f64 (.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)) (.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (.f64 F F) 2) (.f64 2 x)) (neg.f64 (/.f64 1 2)))))
	38.2b	(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (.f64 (/.f64 F B) (/.f64 -1 F)))
✓	36.0b	(fma.f64 (/.f64 F (sin.f64 B)) (/.f64 -1 F) (/.f64 (neg.f64 x) (tan.f64 B)))
▶	37.5b	(/.f64 (+.f64 (.f64 F (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x)))))) (*.f64 -1 x)) B)
	31.0b	(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 F (/.f64 (sin.f64 B) (/.f64 -1 F))))
	29.6b	(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 2 (*.f64 2 x)))) F) (sin.f64 B)))
	38.4b	(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (.f64 (/.f64 F (sin.f64 B)) (/.f64 1 F)))
	9.6b	(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 (.f64 F (*.f64 (pow.f64 (fma.f64 F F (fma.f64 2 x 2)) -1/4) (pow.f64 (fma.f64 F F (fma.f64 2 x 2)) -1/4))) (sin.f64 B)))
	33.0b	(/.f64 (neg.f64 x) (/.f64 (sin.f64 B) (cos.f64 B)))
	48.4b	(-.f64 (+.f64 (.f64 (-.f64 (.f64 1/3 x) 1/6) B) (*.f64 -1 (/.f64 x B))) (/.f64 1 B))
	30.1b	(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 (.f64 (sqrt.f64 (+.f64 2 (*.f64 2 x))) (/.f64 (sin.f64 B) F))))
	55.4b	(cbrt.f64 (pow.f64 (/.f64 -1 (sin.f64 B)) 3))
	47.8b	(/.f64 (-.f64 -1 x) B)
▶	6.3b	(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (+.f64 0 (/.f64 F (.f64 (sin.f64 B) (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2)))))))
	30.3b	(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 (/.f64 (sin.f64 B) (.f64 F (/.f64 -1 F)))))
	55.5b	(-.f64 (*.f64 -1/6 B) (/.f64 1 B))
	33.0b	(/.f64 (*.f64 x (neg.f64 (cos.f64 B))) (sin.f64 B))
	53.3b	(/.f64 1 (sin.f64 B))
	45.6b	(+.f64 (neg.f64 (/.f64 (sqrt.f64 x) (/.f64 (tan.f64 B) (sqrt.f64 x)))) (*.f64 (/.f64 F (sin.f64 B)) (/.f64 -1 F)))

Compiler

Compiled 1125 to 849 computations (24.5% saved)

localize44.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 104 to 65 computations (37.5% saved)

series23.0ms (0%)

Counts

2 → 56

Calls

18 calls:

Time	Variable		Point	Expression
6.0ms	x	@	inf	(/.f64 F (*.f64 (sin.f64 B) (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2)))))
2.0ms	x	@	0	(/.f64 F (*.f64 (sin.f64 B) (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2)))))
2.0ms	F	@	0	(/.f64 F (*.f64 (sin.f64 B) (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2)))))
2.0ms	x	@	-inf	(/.f64 F (*.f64 (sin.f64 B) (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2)))))
1.0ms	F	@	inf	(/.f64 F (*.f64 (sin.f64 B) (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2)))))

rewrite60.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	33
1	227	33
2	2861	33

Stop Event

1×	node limit

Counts

2 → 78

Calls

Call 1

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

Outputs

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

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

simplify67.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

560×	`distribute-rgt-in_binary64`
557×	`distribute-lft-in_binary64`
511×	`times-frac_binary64`
444×	`associate-/l*_binary64`
385×	`associate-/r*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	279	2832
1	964	2321
2	3363	2188

Stop Event

1×	node limit

Counts

134 → 160

Calls

Call 1

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

Outputs
(.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (.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 (pow.f64 F 3) (.f64 (+.f64 2 (.f64 2 x)) (sin.f64 B))) (sqrt.f64 (/.f64 1 (+.f64 (.f64 2 x) 2))))) (.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 2 x) 2)))))
(fma.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 x 2))) (/.f64 (pow.f64 F 3) (.f64 (sin.f64 B) (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 (pow.f64 F 3) (*.f64 (sin.f64 B) (fma.f64 2 x 2)))) (/.f64 F (sin.f64 B))))
(.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 x 2))) (+.f64 (.f64 -1/2 (/.f64 (/.f64 (pow.f64 F 3) (sin.f64 B)) (fma.f64 2 x 2))) (/.f64 F (sin.f64 B))))
(+.f64 (.f64 -1/2 (.f64 (/.f64 (pow.f64 F 3) (.f64 (+.f64 2 (.f64 2 x)) (sin.f64 B))) (sqrt.f64 (/.f64 1 (+.f64 (.f64 2 x) 2))))) (+.f64 (.f64 -1 (.f64 (pow.f64 F 5) (+.f64 (.f64 -1/8 (.f64 (/.f64 1 (.f64 (+.f64 2 (.f64 2 x)) (sin.f64 B))) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 2 x) 2) 3))))) (.f64 -1/4 (.f64 (/.f64 1 (.f64 (+.f64 2 (.f64 2 x)) (sin.f64 B))) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 2 x) 2) 3)))))))) (.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 2 x) 2))))))
(fma.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 x 2))) (/.f64 (pow.f64 F 3) (.f64 (sin.f64 B) (fma.f64 2 x 2)))) (fma.f64 -1 (.f64 (pow.f64 F 5) (.f64 (.f64 (/.f64 (/.f64 1 (sin.f64 B)) (fma.f64 2 x 2)) (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 2 x 2) 3)))) -3/8)) (.f64 (/.f64 F (sin.f64 B)) (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 (pow.f64 F 3) (.f64 (sin.f64 B) (fma.f64 2 x 2)))) (/.f64 F (sin.f64 B)))) (.f64 (pow.f64 F 5) (neg.f64 (.f64 (/.f64 (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 2 x 2) 3))) (.f64 (sin.f64 B) (fma.f64 2 x 2))) -3/8))))
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(fma.f64 1/2 (.f64 (sin.f64 B) (.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 x 2))) (.f64 F F))) (fma.f64 (sin.f64 B) (sqrt.f64 (fma.f64 2 x 2)) (.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 x 2))) (.f64 -1/8 (.f64 (/.f64 (sin.f64 B) (fma.f64 2 x 2)) (pow.f64 F 4))))))
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(+.f64 (.f64 1/2 (.f64 (.f64 (sin.f64 B) (pow.f64 F 2)) (sqrt.f64 (/.f64 1 (+.f64 (.f64 2 x) 2))))) (+.f64 (.f64 1/16 (.f64 (/.f64 (.f64 (sin.f64 B) (pow.f64 F 6)) (+.f64 2 (.f64 2 x))) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 2 x) 2) 3))))) (+.f64 (.f64 (sqrt.f64 (+.f64 2 (.f64 2 x))) (sin.f64 B)) (.f64 -1/8 (.f64 (/.f64 (.f64 (sin.f64 B) (pow.f64 F 4)) (+.f64 2 (.f64 2 x))) (sqrt.f64 (/.f64 1 (+.f64 (.f64 2 x) 2))))))))
(fma.f64 1/2 (.f64 (sin.f64 B) (.f64 (.f64 F F) (sqrt.f64 (/.f64 1 (fma.f64 2 x 2))))) (fma.f64 1/16 (.f64 (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 (sqrt.f64 (fma.f64 2 x 2)) (sin.f64 B) (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 x 2))) (/.f64 (sin.f64 B) (/.f64 (fma.f64 2 x 2) (pow.f64 F 4))))))))
(fma.f64 1/2 (.f64 (sin.f64 B) (.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 x 2))) (.f64 F F))) (fma.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 2 x 2) 3))) (.f64 (/.f64 (sin.f64 B) (fma.f64 2 x 2)) (pow.f64 F 6))) (fma.f64 (sin.f64 B) (sqrt.f64 (fma.f64 2 x 2)) (.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 x 2))) (.f64 -1/8 (.f64 (/.f64 (sin.f64 B) (fma.f64 2 x 2)) (pow.f64 F 4)))))))
(+.f64 (fma.f64 (.f64 1/16 (.f64 (/.f64 (sin.f64 B) (fma.f64 2 x 2)) (pow.f64 F 6))) (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 2 x 2) 3))) (.f64 (sin.f64 B) (sqrt.f64 (fma.f64 2 x 2)))) (.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 x 2))) (+.f64 (.f64 (/.f64 (.f64 -1/8 (sin.f64 B)) (fma.f64 2 x 2)) (pow.f64 F 4)) (.f64 (.f64 F (*.f64 F (sin.f64 B))) 1/2))))
(*.f64 (sin.f64 B) F)
(*.f64 F (sin.f64 B))
(+.f64 (.f64 1/2 (/.f64 (.f64 (sin.f64 B) (+.f64 (.f64 2 x) 2)) F)) (.f64 (sin.f64 B) F))
(fma.f64 1/2 (/.f64 (sin.f64 B) (/.f64 F (fma.f64 2 x 2))) (*.f64 F (sin.f64 B)))
(fma.f64 F (sin.f64 B) (.f64 1/2 (.f64 (/.f64 (sin.f64 B) F) (fma.f64 2 x 2))))
(fma.f64 1/2 (.f64 (/.f64 (sin.f64 B) F) (fma.f64 2 x 2)) (.f64 F (sin.f64 B)))
(+.f64 (.f64 1/2 (/.f64 (.f64 (sin.f64 B) (+.f64 (.f64 2 x) 2)) F)) (+.f64 (.f64 (sin.f64 B) F) (.f64 -1/8 (/.f64 (.f64 (pow.f64 (+.f64 2 (*.f64 2 x)) 2) (sin.f64 B)) (pow.f64 F 3)))))
(fma.f64 1/2 (/.f64 (sin.f64 B) (/.f64 F (fma.f64 2 x 2))) (fma.f64 (sin.f64 B) F (*.f64 -1/8 (/.f64 (pow.f64 (fma.f64 2 x 2) 2) (/.f64 (pow.f64 F 3) (sin.f64 B))))))
(fma.f64 1/2 (.f64 (/.f64 (sin.f64 B) F) (fma.f64 2 x 2)) (fma.f64 F (sin.f64 B) (.f64 -1/8 (/.f64 (pow.f64 (fma.f64 2 x 2) 2) (/.f64 (pow.f64 F 3) (sin.f64 B))))))
(fma.f64 1/2 (.f64 (/.f64 (sin.f64 B) F) (fma.f64 2 x 2)) (fma.f64 -1/8 (.f64 (/.f64 (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 (sin.f64 B) (+.f64 (.f64 2 x) 2)) F)) (+.f64 (.f64 (sin.f64 B) F) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 (+.f64 2 (.f64 2 x)) 2) (sin.f64 B)) (pow.f64 F 3))) (.f64 1/16 (/.f64 (.f64 (+.f64 2 (.f64 2 x)) (.f64 (sin.f64 B) (pow.f64 (+.f64 (.f64 2 x) 2) 2))) (pow.f64 F 5))))))
(fma.f64 1/2 (/.f64 (sin.f64 B) (/.f64 F (fma.f64 2 x 2))) (fma.f64 (sin.f64 B) F (fma.f64 -1/8 (/.f64 (pow.f64 (fma.f64 2 x 2) 2) (/.f64 (pow.f64 F 3) (sin.f64 B))) (/.f64 (.f64 1/16 (.f64 (*.f64 (sin.f64 B) (fma.f64 2 x 2)) (pow.f64 (fma.f64 2 x 2) 2))) (pow.f64 F 5)))))
(fma.f64 1/2 (.f64 (/.f64 (sin.f64 B) F) (fma.f64 2 x 2)) (fma.f64 F (sin.f64 B) (fma.f64 -1/8 (/.f64 (pow.f64 (fma.f64 2 x 2) 2) (/.f64 (pow.f64 F 3) (sin.f64 B))) (.f64 1/16 (/.f64 (*.f64 (sin.f64 B) (pow.f64 (fma.f64 2 x 2) 3)) (pow.f64 F 5))))))
(fma.f64 1/2 (.f64 (/.f64 (sin.f64 B) F) (fma.f64 2 x 2)) (fma.f64 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 (/.f64 1/16 (pow.f64 F 5)) (.f64 (sin.f64 B) (pow.f64 (fma.f64 2 x 2) 3))))))
(.f64 -1 (.f64 (sin.f64 B) F))
(neg.f64 (*.f64 F (sin.f64 B)))
(*.f64 F (neg.f64 (sin.f64 B)))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (sin.f64 B) (+.f64 (.f64 2 x) 2)) F)) (.f64 -1 (*.f64 (sin.f64 B) F)))
(fma.f64 -1/2 (/.f64 (sin.f64 B) (/.f64 F (fma.f64 2 x 2))) (neg.f64 (*.f64 F (sin.f64 B))))
(-.f64 (/.f64 (.f64 -1/2 (.f64 (sin.f64 B) (fma.f64 2 x 2))) F) (*.f64 F (sin.f64 B)))
(-.f64 (/.f64 (.f64 -1/2 (fma.f64 2 x 2)) (/.f64 F (sin.f64 B))) (.f64 F (sin.f64 B)))
(+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 (+.f64 2 (.f64 2 x)) 2) (sin.f64 B)) (pow.f64 F 3))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (sin.f64 B) (+.f64 (.f64 2 x) 2)) F)) (.f64 -1 (.f64 (sin.f64 B) F))))
(fma.f64 1/8 (/.f64 (pow.f64 (fma.f64 2 x 2) 2) (/.f64 (pow.f64 F 3) (sin.f64 B))) (fma.f64 -1/2 (/.f64 (sin.f64 B) (/.f64 F (fma.f64 2 x 2))) (neg.f64 (*.f64 F (sin.f64 B)))))
(-.f64 (fma.f64 1/8 (/.f64 (pow.f64 (fma.f64 2 x 2) 2) (/.f64 (pow.f64 F 3) (sin.f64 B))) (/.f64 (.f64 -1/2 (.f64 (sin.f64 B) (fma.f64 2 x 2))) F)) (*.f64 F (sin.f64 B)))
(-.f64 (fma.f64 1/8 (.f64 (/.f64 (sin.f64 B) (pow.f64 F 3)) (pow.f64 (fma.f64 2 x 2) 2)) (/.f64 (.f64 -1/2 (fma.f64 2 x 2)) (/.f64 F (sin.f64 B)))) (*.f64 F (sin.f64 B)))
(+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 (+.f64 2 (.f64 2 x)) 2) (sin.f64 B)) (pow.f64 F 3))) (+.f64 (.f64 -1/16 (/.f64 (.f64 (+.f64 2 (.f64 2 x)) (.f64 (sin.f64 B) (pow.f64 (+.f64 (.f64 2 x) 2) 2))) (pow.f64 F 5))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (sin.f64 B) (+.f64 (.f64 2 x) 2)) F)) (.f64 -1 (*.f64 (sin.f64 B) F)))))
(fma.f64 1/8 (/.f64 (pow.f64 (fma.f64 2 x 2) 2) (/.f64 (pow.f64 F 3) (sin.f64 B))) (fma.f64 -1/16 (/.f64 (.f64 (.f64 (sin.f64 B) (fma.f64 2 x 2)) (pow.f64 (fma.f64 2 x 2) 2)) (pow.f64 F 5)) (fma.f64 -1/2 (/.f64 (sin.f64 B) (/.f64 F (fma.f64 2 x 2))) (neg.f64 (*.f64 F (sin.f64 B))))))
(fma.f64 1/8 (/.f64 (pow.f64 (fma.f64 2 x 2) 2) (/.f64 (pow.f64 F 3) (sin.f64 B))) (-.f64 (fma.f64 -1/16 (/.f64 (.f64 (sin.f64 B) (pow.f64 (fma.f64 2 x 2) 3)) (pow.f64 F 5)) (/.f64 (.f64 -1/2 (.f64 (sin.f64 B) (fma.f64 2 x 2))) F)) (.f64 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 (fma.f64 -1/16 (/.f64 (sin.f64 B) (/.f64 (pow.f64 F 5) (pow.f64 (fma.f64 2 x 2) 3))) (/.f64 (.f64 -1/2 (fma.f64 2 x 2)) (/.f64 F (sin.f64 B)))) (*.f64 F (sin.f64 B))))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2))) (sin.f64 B))
(.f64 (sin.f64 B) (sqrt.f64 (+.f64 (.f64 F F) (pow.f64 (sqrt.f64 2) 2))))
(*.f64 (sin.f64 B) (hypot.f64 F (sqrt.f64 2)))
(+.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)))) (.f64 (sin.f64 B) x)) (*.f64 (sqrt.f64 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2))) (sin.f64 B)))
(fma.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 F F) (pow.f64 (sqrt.f64 2) 2)))) (.f64 (sin.f64 B) x) (.f64 (sin.f64 B) (sqrt.f64 (+.f64 (.f64 F F) (pow.f64 (sqrt.f64 2) 2)))))
(fma.f64 (sin.f64 B) (hypot.f64 F (sqrt.f64 2)) (.f64 x (.f64 (sin.f64 B) (sqrt.f64 (/.f64 1 (fma.f64 F F 2))))))
(.f64 (sin.f64 B) (+.f64 (hypot.f64 F (sqrt.f64 2)) (.f64 (sqrt.f64 (/.f64 1 (fma.f64 F F 2))) x)))
(+.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)))) (.f64 (sin.f64 B) x)) (+.f64 (.f64 (sqrt.f64 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2))) (sin.f64 B)) (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)) 3))) (.f64 (sin.f64 B) (pow.f64 x 2))))))
(fma.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 F F) (pow.f64 (sqrt.f64 2) 2)))) (.f64 (sin.f64 B) x) (fma.f64 (sqrt.f64 (+.f64 (.f64 F F) (pow.f64 (sqrt.f64 2) 2))) (sin.f64 B) (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 F F) (pow.f64 (sqrt.f64 2) 2)) 3))) (.f64 (sin.f64 B) (.f64 x x))))))
(fma.f64 (sqrt.f64 (/.f64 1 (fma.f64 F F 2))) (.f64 (sin.f64 B) x) (fma.f64 (sin.f64 B) (hypot.f64 F (sqrt.f64 2)) (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 F F 2) 3))) (.f64 (sin.f64 B) (*.f64 x x))))))
(fma.f64 (sqrt.f64 (/.f64 1 (fma.f64 F F 2))) (.f64 (sin.f64 B) x) (.f64 (sin.f64 B) (+.f64 (hypot.f64 F (sqrt.f64 2)) (.f64 (.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 F F 2) 3)))) (*.f64 x x)))))
(+.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)))) (.f64 (sin.f64 B) x)) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)) 5))) (.f64 (sin.f64 B) (pow.f64 x 3)))) (+.f64 (.f64 (sqrt.f64 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2))) (sin.f64 B)) (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) (pow.f64 (sqrt.f64 2) 2)) 3))) (*.f64 (sin.f64 B) (pow.f64 x 2)))))))
(fma.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 F F) (pow.f64 (sqrt.f64 2) 2)))) (.f64 (sin.f64 B) x) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 F F) (pow.f64 (sqrt.f64 2) 2)) 5))) (.f64 (sin.f64 B) (pow.f64 x 3))) (fma.f64 (sqrt.f64 (+.f64 (.f64 F F) (pow.f64 (sqrt.f64 2) 2))) (sin.f64 B) (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 F F) (pow.f64 (sqrt.f64 2) 2)) 3))) (.f64 (sin.f64 B) (*.f64 x x)))))))
(fma.f64 (sqrt.f64 (/.f64 1 (fma.f64 F F 2))) (.f64 (sin.f64 B) x) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 F F 2) 5))) (.f64 (sin.f64 B) (pow.f64 x 3))) (fma.f64 (sin.f64 B) (hypot.f64 F (sqrt.f64 2)) (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 F F 2) 3))) (.f64 (sin.f64 B) (*.f64 x x)))))))
(+.f64 (.f64 (sin.f64 B) (+.f64 (hypot.f64 F (sqrt.f64 2)) (.f64 (.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 F F 2) 3)))) (.f64 x x)))) (.f64 (sin.f64 B) (+.f64 (.f64 (sqrt.f64 (/.f64 1 (fma.f64 F F 2))) x) (.f64 (.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 F F 2) 5)))) (pow.f64 x 3)))))

localize4.0ms (0%)

Compiler: Compiled 8 to 6 computations (25% saved)

localize15.0ms (0%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (neg.f64 (/.f64 x B)) (*.f64 (/.f64 F (sin.f64 B)) (/.f64 -1 F)))
	0.1b	(/.f64 F (sin.f64 B))
	7.9b	(*.f64 (/.f64 F (sin.f64 B)) (/.f64 -1 F))

Compiler

Compiled 44 to 17 computations (61.4% saved)

series5.0ms (0%)

Counts

1 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	F	@	0	(+.f64 (neg.f64 (/.f64 x B)) (*.f64 (/.f64 F (sin.f64 B)) (/.f64 -1 F)))
1.0ms	B	@	inf	(+.f64 (neg.f64 (/.f64 x B)) (*.f64 (/.f64 F (sin.f64 B)) (/.f64 -1 F)))
1.0ms	B	@	-inf	(+.f64 (neg.f64 (/.f64 x B)) (*.f64 (/.f64 F (sin.f64 B)) (/.f64 -1 F)))
1.0ms	x	@	0	(+.f64 (neg.f64 (/.f64 x B)) (*.f64 (/.f64 F (sin.f64 B)) (/.f64 -1 F)))
1.0ms	x	@	inf	(+.f64 (neg.f64 (/.f64 x B)) (*.f64 (/.f64 F (sin.f64 B)) (/.f64 -1 F)))

rewrite65.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

682×	`log-prod_binary64`
402×	`fma-def_binary64`
339×	`pow2_binary64`
253×	`log-div_binary64`
236×	`pow1/3_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	20
1	269	16
2	4121	16

Stop Event

1×	node limit

Counts

1 → 103

Calls

Call 1

Inputs
(+.f64 (neg.f64 (/.f64 x B)) (*.f64 (/.f64 F (sin.f64 B)) (/.f64 -1 F)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 F (*.f64 (sin.f64 B) (neg.f64 F))) (/.f64 x B))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (-.f64 (/.f64 x B) (/.f64 F (*.f64 (sin.f64 B) (neg.f64 F)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (/.f64 F (sin.f64 B)) (/.f64 -1 F) (/.f64 x B)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (/.f64 x B) 2) (-.f64 (/.f64 x B) (/.f64 F (*.f64 (sin.f64 B) (neg.f64 F))))) (/.f64 (pow.f64 (/.f64 F (*.f64 (sin.f64 B) (neg.f64 F))) 2) (-.f64 (/.f64 x B) (/.f64 F (*.f64 (sin.f64 B) (neg.f64 F))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 (/.f64 F (sin.f64 B)) (/.f64 -1 F) 0) (/.f64 x B))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (/.f64 F (sin.f64 B)) (/.f64 -1 F) (/.f64 x B)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (/.f64 F (sin.f64 B)) (/.f64 -1 F) (/.f64 x B)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 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simplify71.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

705×	`fma-def_binary64`
661×	`cancel-sign-sub-inv_binary64`
503×	`fma-neg_binary64`
496×	`unsub-neg_binary64`
416×	`unswap-sqr_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	29	480
1	76	450
2	163	415
3	388	415
4	865	415
5	2160	415
6	5575	415
7	7210	415

Stop Event

1×	node limit

Counts

139 → 117

Calls

Call 1

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

Outputs
(/.f64 -1 (sin.f64 B))
(-.f64 (*.f64 -1 (/.f64 x B)) (/.f64 1 (sin.f64 B)))
(-.f64 (neg.f64 (/.f64 x B)) (/.f64 1 (sin.f64 B)))
(fma.f64 -1 (/.f64 x B) (/.f64 -1 (sin.f64 B)))
(-.f64 (/.f64 -1 (sin.f64 B)) (/.f64 x B))
(-.f64 (*.f64 -1 (/.f64 x B)) (/.f64 1 (sin.f64 B)))
(-.f64 (neg.f64 (/.f64 x B)) (/.f64 1 (sin.f64 B)))
(fma.f64 -1 (/.f64 x B) (/.f64 -1 (sin.f64 B)))
(-.f64 (/.f64 -1 (sin.f64 B)) (/.f64 x B))
(-.f64 (*.f64 -1 (/.f64 x B)) (/.f64 1 (sin.f64 B)))
(-.f64 (neg.f64 (/.f64 x B)) (/.f64 1 (sin.f64 B)))
(fma.f64 -1 (/.f64 x B) (/.f64 -1 (sin.f64 B)))
(-.f64 (/.f64 -1 (sin.f64 B)) (/.f64 x B))
(*.f64 -1 (/.f64 x B))
(neg.f64 (/.f64 x B))
(/.f64 (neg.f64 x) B)
(-.f64 (*.f64 -1 (/.f64 x B)) (/.f64 1 (sin.f64 B)))
(-.f64 (neg.f64 (/.f64 x B)) (/.f64 1 (sin.f64 B)))
(fma.f64 -1 (/.f64 x B) (/.f64 -1 (sin.f64 B)))
(-.f64 (/.f64 -1 (sin.f64 B)) (/.f64 x B))
(-.f64 (*.f64 -1 (/.f64 x B)) (/.f64 1 (sin.f64 B)))
(-.f64 (neg.f64 (/.f64 x B)) (/.f64 1 (sin.f64 B)))
(fma.f64 -1 (/.f64 x B) (/.f64 -1 (sin.f64 B)))
(-.f64 (/.f64 -1 (sin.f64 B)) (/.f64 x B))
(-.f64 (*.f64 -1 (/.f64 x B)) (/.f64 1 (sin.f64 B)))
(-.f64 (neg.f64 (/.f64 x B)) (/.f64 1 (sin.f64 B)))
(fma.f64 -1 (/.f64 x B) (/.f64 -1 (sin.f64 B)))
(-.f64 (/.f64 -1 (sin.f64 B)) (/.f64 x B))
(*.f64 -1 (/.f64 x B))
(neg.f64 (/.f64 x B))
(/.f64 (neg.f64 x) B)
(-.f64 (*.f64 -1 (/.f64 x B)) (/.f64 1 (sin.f64 B)))
(-.f64 (neg.f64 (/.f64 x B)) (/.f64 1 (sin.f64 B)))
(fma.f64 -1 (/.f64 x B) (/.f64 -1 (sin.f64 B)))
(-.f64 (/.f64 -1 (sin.f64 B)) (/.f64 x B))
(-.f64 (*.f64 -1 (/.f64 x B)) (/.f64 1 (sin.f64 B)))
(-.f64 (neg.f64 (/.f64 x B)) (/.f64 1 (sin.f64 B)))
(fma.f64 -1 (/.f64 x B) (/.f64 -1 (sin.f64 B)))
(-.f64 (/.f64 -1 (sin.f64 B)) (/.f64 x B))
(-.f64 (*.f64 -1 (/.f64 x B)) (/.f64 1 (sin.f64 B)))
(-.f64 (neg.f64 (/.f64 x B)) (/.f64 1 (sin.f64 B)))
(fma.f64 -1 (/.f64 x B) (/.f64 -1 (sin.f64 B)))
(-.f64 (/.f64 -1 (sin.f64 B)) (/.f64 x B))
(*.f64 -1 (/.f64 (+.f64 1 x) B))
(neg.f64 (/.f64 (+.f64 x 1) B))
(/.f64 (-.f64 -1 x) B)
(+.f64 (.f64 -1 (/.f64 (+.f64 1 x) B)) (.f64 -1/6 B))
(fma.f64 -1 (/.f64 (+.f64 x 1) B) (*.f64 B -1/6))
(-.f64 (*.f64 B -1/6) (/.f64 (+.f64 x 1) B))
(fma.f64 B -1/6 (/.f64 (-.f64 -1 x) B))
(+.f64 (.f64 -7/360 (pow.f64 B 3)) (+.f64 (.f64 -1 (/.f64 (+.f64 1 x) B)) (*.f64 -1/6 B)))
(fma.f64 -7/360 (pow.f64 B 3) (fma.f64 -1 (/.f64 (+.f64 x 1) B) (*.f64 B -1/6)))
(fma.f64 -7/360 (pow.f64 B 3) (-.f64 (*.f64 B -1/6) (/.f64 (+.f64 x 1) B)))
(fma.f64 B -1/6 (fma.f64 -7/360 (pow.f64 B 3) (/.f64 (-.f64 -1 x) B)))
(fma.f64 B (fma.f64 -7/360 (*.f64 B B) -1/6) (/.f64 (-.f64 -1 x) B))
(+.f64 (.f64 -31/15120 (pow.f64 B 5)) (+.f64 (.f64 -7/360 (pow.f64 B 3)) (+.f64 (.f64 -1 (/.f64 (+.f64 1 x) B)) (.f64 -1/6 B))))
(fma.f64 -31/15120 (pow.f64 B 5) (fma.f64 -7/360 (pow.f64 B 3) (fma.f64 -1 (/.f64 (+.f64 x 1) B) (*.f64 B -1/6))))
(fma.f64 -31/15120 (pow.f64 B 5) (fma.f64 -7/360 (pow.f64 B 3) (-.f64 (*.f64 B -1/6) (/.f64 (+.f64 x 1) B))))
(fma.f64 -31/15120 (pow.f64 B 5) (fma.f64 B -1/6 (fma.f64 -7/360 (pow.f64 B 3) (/.f64 (-.f64 -1 x) B))))
(fma.f64 B -1/6 (fma.f64 -7/360 (pow.f64 B 3) (fma.f64 -31/15120 (pow.f64 B 5) (/.f64 (-.f64 -1 x) B))))
(fma.f64 -31/15120 (pow.f64 B 5) (fma.f64 B (fma.f64 -7/360 (*.f64 B B) -1/6) (/.f64 (-.f64 -1 x) B)))
(/.f64 -1 (sin.f64 B))
(-.f64 (*.f64 -1 (/.f64 x B)) (/.f64 1 (sin.f64 B)))
(-.f64 (neg.f64 (/.f64 x B)) (/.f64 1 (sin.f64 B)))
(fma.f64 -1 (/.f64 x B) (/.f64 -1 (sin.f64 B)))
(-.f64 (/.f64 -1 (sin.f64 B)) (/.f64 x B))
(-.f64 (*.f64 -1 (/.f64 x B)) (/.f64 1 (sin.f64 B)))
(-.f64 (neg.f64 (/.f64 x B)) (/.f64 1 (sin.f64 B)))
(fma.f64 -1 (/.f64 x B) (/.f64 -1 (sin.f64 B)))
(-.f64 (/.f64 -1 (sin.f64 B)) (/.f64 x B))
(-.f64 (*.f64 -1 (/.f64 x B)) (/.f64 1 (sin.f64 B)))
(-.f64 (neg.f64 (/.f64 x B)) (/.f64 1 (sin.f64 B)))
(fma.f64 -1 (/.f64 x B) (/.f64 -1 (sin.f64 B)))
(-.f64 (/.f64 -1 (sin.f64 B)) (/.f64 x B))
(/.f64 -1 (sin.f64 B))
(-.f64 (*.f64 -1 (/.f64 x B)) (/.f64 1 (sin.f64 B)))
(-.f64 (neg.f64 (/.f64 x B)) (/.f64 1 (sin.f64 B)))
(fma.f64 -1 (/.f64 x B) (/.f64 -1 (sin.f64 B)))
(-.f64 (/.f64 -1 (sin.f64 B)) (/.f64 x B))
(-.f64 (*.f64 -1 (/.f64 x B)) (/.f64 1 (sin.f64 B)))
(-.f64 (neg.f64 (/.f64 x B)) (/.f64 1 (sin.f64 B)))
(fma.f64 -1 (/.f64 x B) (/.f64 -1 (sin.f64 B)))
(-.f64 (/.f64 -1 (sin.f64 B)) (/.f64 x B))
(-.f64 (*.f64 -1 (/.f64 x B)) (/.f64 1 (sin.f64 B)))
(-.f64 (neg.f64 (/.f64 x B)) (/.f64 1 (sin.f64 B)))
(fma.f64 -1 (/.f64 x B) (/.f64 -1 (sin.f64 B)))
(-.f64 (/.f64 -1 (sin.f64 B)) (/.f64 x B))
(*.f64 -1 (+.f64 (/.f64 x B) (/.f64 1 (sin.f64 B))))
(-.f64 (neg.f64 (/.f64 x B)) (/.f64 1 (sin.f64 B)))
(fma.f64 -1 (/.f64 x B) (/.f64 -1 (sin.f64 B)))
(-.f64 (/.f64 -1 (sin.f64 B)) (/.f64 x B))
(*.f64 -1 (+.f64 (/.f64 x B) (/.f64 1 (sin.f64 B))))
(-.f64 (neg.f64 (/.f64 x B)) (/.f64 1 (sin.f64 B)))
(fma.f64 -1 (/.f64 x B) (/.f64 -1 (sin.f64 B)))
(-.f64 (/.f64 -1 (sin.f64 B)) (/.f64 x B))
(*.f64 -1 (+.f64 (/.f64 x B) (/.f64 1 (sin.f64 B))))
(-.f64 (neg.f64 (/.f64 x B)) (/.f64 1 (sin.f64 B)))
(fma.f64 -1 (/.f64 x B) (/.f64 -1 (sin.f64 B)))
(-.f64 (/.f64 -1 (sin.f64 B)) (/.f64 x B))
(*.f64 -1 (+.f64 (/.f64 x B) (/.f64 1 (sin.f64 B))))
(-.f64 (neg.f64 (/.f64 x B)) (/.f64 1 (sin.f64 B)))
(fma.f64 -1 (/.f64 x B) (/.f64 -1 (sin.f64 B)))
(-.f64 (/.f64 -1 (sin.f64 B)) (/.f64 x B))
(*.f64 -1 (+.f64 (/.f64 x B) (/.f64 1 (sin.f64 B))))
(-.f64 (neg.f64 (/.f64 x B)) (/.f64 1 (sin.f64 B)))
(fma.f64 -1 (/.f64 x B) (/.f64 -1 (sin.f64 B)))
(-.f64 (/.f64 -1 (sin.f64 B)) (/.f64 x B))
(*.f64 -1 (+.f64 (/.f64 x B) (/.f64 1 (sin.f64 B))))
(-.f64 (neg.f64 (/.f64 x B)) (/.f64 1 (sin.f64 B)))
(fma.f64 -1 (/.f64 x B) (/.f64 -1 (sin.f64 B)))
(-.f64 (/.f64 -1 (sin.f64 B)) (/.f64 x B))
(*.f64 -1 (+.f64 (/.f64 x B) (/.f64 1 (sin.f64 B))))
(-.f64 (neg.f64 (/.f64 x B)) (/.f64 1 (sin.f64 B)))
(fma.f64 -1 (/.f64 x B) (/.f64 -1 (sin.f64 B)))
(-.f64 (/.f64 -1 (sin.f64 B)) (/.f64 x B))
(*.f64 -1 (+.f64 (/.f64 x B) (/.f64 1 (sin.f64 B))))
(-.f64 (neg.f64 (/.f64 x B)) (/.f64 1 (sin.f64 B)))
(fma.f64 -1 (/.f64 x B) (/.f64 -1 (sin.f64 B)))
(-.f64 (/.f64 -1 (sin.f64 B)) (/.f64 x B))
(*.f64 -1 (+.f64 (/.f64 x B) (/.f64 1 (sin.f64 B))))
(-.f64 (neg.f64 (/.f64 x B)) (/.f64 1 (sin.f64 B)))
(fma.f64 -1 (/.f64 x B) (/.f64 -1 (sin.f64 B)))
(-.f64 (/.f64 -1 (sin.f64 B)) (/.f64 x B))
(*.f64 -1 (+.f64 (/.f64 x B) (/.f64 1 (sin.f64 B))))
(-.f64 (neg.f64 (/.f64 x B)) (/.f64 1 (sin.f64 B)))
(fma.f64 -1 (/.f64 x B) (/.f64 -1 (sin.f64 B)))
(-.f64 (/.f64 -1 (sin.f64 B)) (/.f64 x B))
(*.f64 -1 (+.f64 (/.f64 x B) (/.f64 1 (sin.f64 B))))
(-.f64 (neg.f64 (/.f64 x B)) (/.f64 1 (sin.f64 B)))
(fma.f64 -1 (/.f64 x B) (/.f64 -1 (sin.f64 B)))
(-.f64 (/.f64 -1 (sin.f64 B)) (/.f64 x B))
(*.f64 -1 (+.f64 (/.f64 x B) (/.f64 1 (sin.f64 B))))
(-.f64 (neg.f64 (/.f64 x B)) (/.f64 1 (sin.f64 B)))
(fma.f64 -1 (/.f64 x B) (/.f64 -1 (sin.f64 B)))
(-.f64 (/.f64 -1 (sin.f64 B)) (/.f64 x B))

localize15.0ms (0%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (/.f64 F (*.f64 (sin.f64 B) (neg.f64 F))) (/.f64 x (tan.f64 B)))
✓	0.1b	(*.f64 (sin.f64 B) (neg.f64 F))
✓	0.2b	(/.f64 x (tan.f64 B))
✓	6.0b	(/.f64 F (*.f64 (sin.f64 B) (neg.f64 F)))

Compiler

Compiled 40 to 10 computations (75% saved)

series10.0ms (0%)

Counts

4 → 108

Calls

27 calls:

Time	Variable		Point	Expression
1.0ms	B	@	0	(*.f64 (sin.f64 B) (neg.f64 F))
1.0ms	B	@	-inf	(*.f64 (sin.f64 B) (neg.f64 F))
1.0ms	B	@	inf	(*.f64 (sin.f64 B) (neg.f64 F))
1.0ms	F	@	inf	(*.f64 (sin.f64 B) (neg.f64 F))
0.0ms	B	@	0	(-.f64 (/.f64 F (*.f64 (sin.f64 B) (neg.f64 F))) (/.f64 x (tan.f64 B)))

rewrite88.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

674×	`log-prod_binary64`
337×	`fma-def_binary64`
324×	`pow2_binary64`
226×	`pow1/3_binary64`
220×	`expm1-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	44
1	252	38
2	4135	38

Stop Event

1×	node limit

Counts

4 → 319

Calls

Call 1

Inputs
(/.f64 F (*.f64 (sin.f64 B) (neg.f64 F)))
(/.f64 x (tan.f64 B))
(*.f64 (sin.f64 B) (neg.f64 F))
(-.f64 (/.f64 F (*.f64 (sin.f64 B) (neg.f64 F))) (/.f64 x (tan.f64 B)))

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

simplify64.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

564×	`fma-def_binary64`
520×	`fma-neg_binary64`
499×	`cancel-sign-sub-inv_binary64`
453×	`distribute-rgt-in_binary64`
425×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	98	1487
1	274	1425
2	824	1367
3	3336	1356

Stop Event

1×	node limit

Counts

427 → 359

Calls

Call 1

Inputs
(/.f64 -1 (sin.f64 B))
(/.f64 -1 (sin.f64 B))
(/.f64 -1 (sin.f64 B))
(/.f64 -1 (sin.f64 B))
(/.f64 -1 (sin.f64 B))
(/.f64 -1 (sin.f64 B))
(/.f64 -1 (sin.f64 B))
(/.f64 -1 (sin.f64 B))
(/.f64 -1 (sin.f64 B))
(/.f64 -1 (sin.f64 B))
(/.f64 -1 (sin.f64 B))
(/.f64 -1 (sin.f64 B))
(/.f64 -1 B)
(-.f64 (*.f64 -1/6 B) (/.f64 1 B))
(-.f64 (+.f64 (.f64 -7/360 (pow.f64 B 3)) (.f64 -1/6 B)) (/.f64 1 B))
(-.f64 (+.f64 (.f64 -31/15120 (pow.f64 B 5)) (+.f64 (.f64 -7/360 (pow.f64 B 3)) (*.f64 -1/6 B))) (/.f64 1 B))
(/.f64 -1 (sin.f64 B))
(/.f64 -1 (sin.f64 B))
(/.f64 -1 (sin.f64 B))
(/.f64 -1 (sin.f64 B))
(/.f64 -1 (sin.f64 B))
(/.f64 -1 (sin.f64 B))
(/.f64 -1 (sin.f64 B))
(/.f64 -1 (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 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 x B)
(+.f64 (/.f64 x B) (.f64 -1/3 (.f64 B x)))
(+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1/9 x) (.f64 2/15 x)) (pow.f64 B 3))) (+.f64 (/.f64 x B) (.f64 -1/3 (.f64 B x))))
(+.f64 (.f64 -1 (.f64 (+.f64 (.f64 17/315 x) (+.f64 (.f64 -2/45 x) (.f64 -1/3 (+.f64 (.f64 -1/9 x) (.f64 2/15 x))))) (pow.f64 B 5))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1/9 x) (.f64 2/15 x)) (pow.f64 B 3))) (+.f64 (/.f64 x B) (.f64 -1/3 (*.f64 B x)))))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(.f64 -1 (.f64 F B))
(+.f64 (.f64 1/6 (.f64 F (pow.f64 B 3))) (.f64 -1 (.f64 F B)))
(+.f64 (.f64 1/6 (.f64 F (pow.f64 B 3))) (+.f64 (.f64 -1 (.f64 F B)) (.f64 -1/120 (.f64 F (pow.f64 B 5)))))
(+.f64 (.f64 1/6 (.f64 F (pow.f64 B 3))) (+.f64 (.f64 -1 (.f64 F B)) (+.f64 (.f64 -1/120 (.f64 F (pow.f64 B 5))) (.f64 1/5040 (.f64 F (pow.f64 B 7))))))
(.f64 -1 (.f64 (sin.f64 B) F))
(.f64 -1 (.f64 (sin.f64 B) F))
(.f64 -1 (.f64 (sin.f64 B) F))
(.f64 -1 (.f64 (sin.f64 B) F))
(.f64 -1 (.f64 (sin.f64 B) F))
(.f64 -1 (.f64 (sin.f64 B) F))
(.f64 -1 (.f64 (sin.f64 B) F))
(.f64 -1 (.f64 (sin.f64 B) F))
(.f64 -1 (.f64 (sin.f64 B) F))
(.f64 -1 (.f64 (sin.f64 B) F))
(.f64 -1 (.f64 (sin.f64 B) F))
(.f64 -1 (.f64 (sin.f64 B) F))
(.f64 -1 (.f64 (sin.f64 B) F))
(.f64 -1 (.f64 (sin.f64 B) F))
(.f64 -1 (.f64 (sin.f64 B) F))
(.f64 -1 (.f64 (sin.f64 B) F))
(.f64 -1 (.f64 (sin.f64 B) F))
(.f64 -1 (.f64 (sin.f64 B) F))
(.f64 -1 (.f64 (sin.f64 B) F))
(.f64 -1 (.f64 (sin.f64 B) F))
(.f64 -1 (+.f64 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B)) (/.f64 1 (sin.f64 B))))
(.f64 -1 (+.f64 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B)) (/.f64 1 (sin.f64 B))))
(.f64 -1 (+.f64 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B)) (/.f64 1 (sin.f64 B))))
(.f64 -1 (+.f64 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B)) (/.f64 1 (sin.f64 B))))
(.f64 -1 (+.f64 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B)) (/.f64 1 (sin.f64 B))))
(.f64 -1 (+.f64 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B)) (/.f64 1 (sin.f64 B))))
(.f64 -1 (+.f64 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B)) (/.f64 1 (sin.f64 B))))
(.f64 -1 (+.f64 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B)) (/.f64 1 (sin.f64 B))))
(.f64 -1 (+.f64 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B)) (/.f64 1 (sin.f64 B))))
(.f64 -1 (+.f64 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B)) (/.f64 1 (sin.f64 B))))
(.f64 -1 (+.f64 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B)) (/.f64 1 (sin.f64 B))))
(.f64 -1 (+.f64 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B)) (/.f64 1 (sin.f64 B))))
(*.f64 -1 (/.f64 (+.f64 1 x) B))
(+.f64 (.f64 (-.f64 (.f64 1/3 x) 1/6) B) (*.f64 -1 (/.f64 (+.f64 1 x) B)))
(+.f64 (.f64 (-.f64 (.f64 1/3 x) 1/6) B) (+.f64 (.f64 -1 (/.f64 (+.f64 1 x) B)) (.f64 (-.f64 (+.f64 (.f64 -1/9 x) (.f64 2/15 x)) 7/360) (pow.f64 B 3))))
(+.f64 (.f64 (-.f64 (.f64 1/3 x) 1/6) B) (+.f64 (.f64 -1 (/.f64 (+.f64 1 x) B)) (+.f64 (.f64 (-.f64 (+.f64 (.f64 17/315 x) (+.f64 (.f64 -1/3 (+.f64 (.f64 -1/9 x) (.f64 2/15 x))) (.f64 -2/45 x))) 31/15120) (pow.f64 B 5)) (.f64 (-.f64 (+.f64 (.f64 -1/9 x) (.f64 2/15 x)) 7/360) (pow.f64 B 3)))))
(.f64 -1 (+.f64 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B)) (/.f64 1 (sin.f64 B))))
(.f64 -1 (+.f64 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B)) (/.f64 1 (sin.f64 B))))
(.f64 -1 (+.f64 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B)) (/.f64 1 (sin.f64 B))))
(.f64 -1 (+.f64 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B)) (/.f64 1 (sin.f64 B))))
(.f64 -1 (+.f64 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B)) (/.f64 1 (sin.f64 B))))
(.f64 -1 (+.f64 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B)) (/.f64 1 (sin.f64 B))))
(.f64 -1 (+.f64 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B)) (/.f64 1 (sin.f64 B))))
(.f64 -1 (+.f64 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B)) (/.f64 1 (sin.f64 B))))
(/.f64 -1 (sin.f64 B))
(-.f64 (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))) (/.f64 1 (sin.f64 B)))
(-.f64 (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))) (/.f64 1 (sin.f64 B)))
(-.f64 (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))) (/.f64 1 (sin.f64 B)))
(.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))) (/.f64 1 (sin.f64 B)))
(-.f64 (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))) (/.f64 1 (sin.f64 B)))
(-.f64 (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))) (/.f64 1 (sin.f64 B)))
(.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))) (/.f64 1 (sin.f64 B)))
(-.f64 (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))) (/.f64 1 (sin.f64 B)))
(-.f64 (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))) (/.f64 1 (sin.f64 B)))

Outputs
(/.f64 -1 (sin.f64 B))
(/.f64 -1 (sin.f64 B))
(/.f64 -1 (sin.f64 B))
(/.f64 -1 (sin.f64 B))
(/.f64 -1 (sin.f64 B))
(/.f64 -1 (sin.f64 B))
(/.f64 -1 (sin.f64 B))
(/.f64 -1 (sin.f64 B))
(/.f64 -1 (sin.f64 B))
(/.f64 -1 (sin.f64 B))
(/.f64 -1 (sin.f64 B))
(/.f64 -1 (sin.f64 B))
(/.f64 -1 B)
(-.f64 (*.f64 -1/6 B) (/.f64 1 B))
(-.f64 (*.f64 B -1/6) (/.f64 1 B))
(fma.f64 B -1/6 (/.f64 -1 B))
(-.f64 (+.f64 (.f64 -7/360 (pow.f64 B 3)) (.f64 -1/6 B)) (/.f64 1 B))
(-.f64 (fma.f64 -7/360 (pow.f64 B 3) (*.f64 B -1/6)) (/.f64 1 B))
(fma.f64 -7/360 (pow.f64 B 3) (fma.f64 B -1/6 (/.f64 -1 B)))
(fma.f64 B -1/6 (fma.f64 -7/360 (pow.f64 B 3) (/.f64 -1 B)))
(-.f64 (+.f64 (.f64 -31/15120 (pow.f64 B 5)) (+.f64 (.f64 -7/360 (pow.f64 B 3)) (*.f64 -1/6 B))) (/.f64 1 B))
(-.f64 (fma.f64 -31/15120 (pow.f64 B 5) (fma.f64 -7/360 (pow.f64 B 3) (*.f64 B -1/6))) (/.f64 1 B))
(fma.f64 -31/15120 (pow.f64 B 5) (fma.f64 -7/360 (pow.f64 B 3) (fma.f64 B -1/6 (/.f64 -1 B))))
(fma.f64 -31/15120 (pow.f64 B 5) (fma.f64 B -1/6 (fma.f64 -7/360 (pow.f64 B 3) (/.f64 -1 B))))
(/.f64 -1 (sin.f64 B))
(/.f64 -1 (sin.f64 B))
(/.f64 -1 (sin.f64 B))
(/.f64 -1 (sin.f64 B))
(/.f64 -1 (sin.f64 B))
(/.f64 -1 (sin.f64 B))
(/.f64 -1 (sin.f64 B))
(/.f64 -1 (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 x (/.f64 (cos.f64 B) (sin.f64 B)))
(*.f64 (cos.f64 B) (/.f64 x (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 x (/.f64 (cos.f64 B) (sin.f64 B)))
(*.f64 (cos.f64 B) (/.f64 x (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 x (/.f64 (cos.f64 B) (sin.f64 B)))
(*.f64 (cos.f64 B) (/.f64 x (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 x (/.f64 (cos.f64 B) (sin.f64 B)))
(*.f64 (cos.f64 B) (/.f64 x (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 x (/.f64 (cos.f64 B) (sin.f64 B)))
(*.f64 (cos.f64 B) (/.f64 x (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 x (/.f64 (cos.f64 B) (sin.f64 B)))
(*.f64 (cos.f64 B) (/.f64 x (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 x (/.f64 (cos.f64 B) (sin.f64 B)))
(*.f64 (cos.f64 B) (/.f64 x (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 x (/.f64 (cos.f64 B) (sin.f64 B)))
(*.f64 (cos.f64 B) (/.f64 x (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 x (/.f64 (cos.f64 B) (sin.f64 B)))
(*.f64 (cos.f64 B) (/.f64 x (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 x (/.f64 (cos.f64 B) (sin.f64 B)))
(*.f64 (cos.f64 B) (/.f64 x (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 x (/.f64 (cos.f64 B) (sin.f64 B)))
(*.f64 (cos.f64 B) (/.f64 x (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 x (/.f64 (cos.f64 B) (sin.f64 B)))
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))
(/.f64 x B)
(+.f64 (/.f64 x B) (.f64 -1/3 (.f64 B x)))
(+.f64 (/.f64 x B) (.f64 (.f64 -1/3 B) x))
(fma.f64 -1/3 (*.f64 B x) (/.f64 x B))
(fma.f64 B (*.f64 x -1/3) (/.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))))
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(fma.f64 -1 (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x) (/.f64 -1 (sin.f64 B)))
(-.f64 (/.f64 -1 (sin.f64 B)) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B))))
(fma.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (neg.f64 x) (/.f64 -1 (sin.f64 B)))
(.f64 -1 (+.f64 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B)) (/.f64 1 (sin.f64 B))))
(neg.f64 (+.f64 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)) (/.f64 1 (sin.f64 B))))
(fma.f64 -1 (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x) (/.f64 -1 (sin.f64 B)))
(-.f64 (/.f64 -1 (sin.f64 B)) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B))))
(fma.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (neg.f64 x) (/.f64 -1 (sin.f64 B)))
(.f64 -1 (+.f64 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B)) (/.f64 1 (sin.f64 B))))
(neg.f64 (+.f64 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)) (/.f64 1 (sin.f64 B))))
(fma.f64 -1 (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x) (/.f64 -1 (sin.f64 B)))
(-.f64 (/.f64 -1 (sin.f64 B)) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B))))
(fma.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (neg.f64 x) (/.f64 -1 (sin.f64 B)))
(.f64 -1 (+.f64 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B)) (/.f64 1 (sin.f64 B))))
(neg.f64 (+.f64 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)) (/.f64 1 (sin.f64 B))))
(fma.f64 -1 (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x) (/.f64 -1 (sin.f64 B)))
(-.f64 (/.f64 -1 (sin.f64 B)) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B))))
(fma.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (neg.f64 x) (/.f64 -1 (sin.f64 B)))
(.f64 -1 (+.f64 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B)) (/.f64 1 (sin.f64 B))))
(neg.f64 (+.f64 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)) (/.f64 1 (sin.f64 B))))
(fma.f64 -1 (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x) (/.f64 -1 (sin.f64 B)))
(-.f64 (/.f64 -1 (sin.f64 B)) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B))))
(fma.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (neg.f64 x) (/.f64 -1 (sin.f64 B)))
(.f64 -1 (+.f64 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B)) (/.f64 1 (sin.f64 B))))
(neg.f64 (+.f64 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)) (/.f64 1 (sin.f64 B))))
(fma.f64 -1 (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x) (/.f64 -1 (sin.f64 B)))
(-.f64 (/.f64 -1 (sin.f64 B)) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B))))
(fma.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (neg.f64 x) (/.f64 -1 (sin.f64 B)))
(.f64 -1 (+.f64 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B)) (/.f64 1 (sin.f64 B))))
(neg.f64 (+.f64 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)) (/.f64 1 (sin.f64 B))))
(fma.f64 -1 (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x) (/.f64 -1 (sin.f64 B)))
(-.f64 (/.f64 -1 (sin.f64 B)) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B))))
(fma.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (neg.f64 x) (/.f64 -1 (sin.f64 B)))
(/.f64 -1 (sin.f64 B))
(-.f64 (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))) (/.f64 1 (sin.f64 B)))
(neg.f64 (+.f64 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)) (/.f64 1 (sin.f64 B))))
(fma.f64 -1 (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x) (/.f64 -1 (sin.f64 B)))
(-.f64 (/.f64 -1 (sin.f64 B)) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B))))
(fma.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (neg.f64 x) (/.f64 -1 (sin.f64 B)))
(-.f64 (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))) (/.f64 1 (sin.f64 B)))
(neg.f64 (+.f64 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)) (/.f64 1 (sin.f64 B))))
(fma.f64 -1 (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x) (/.f64 -1 (sin.f64 B)))
(-.f64 (/.f64 -1 (sin.f64 B)) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B))))
(fma.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (neg.f64 x) (/.f64 -1 (sin.f64 B)))
(-.f64 (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))) (/.f64 1 (sin.f64 B)))
(neg.f64 (+.f64 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)) (/.f64 1 (sin.f64 B))))
(fma.f64 -1 (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x) (/.f64 -1 (sin.f64 B)))
(-.f64 (/.f64 -1 (sin.f64 B)) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B))))
(fma.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (neg.f64 x) (/.f64 -1 (sin.f64 B)))
(.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B)))
(neg.f64 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(/.f64 (neg.f64 (*.f64 (cos.f64 B) x)) (sin.f64 B))
(/.f64 (neg.f64 x) (/.f64 (sin.f64 B) (cos.f64 B)))
(*.f64 x (neg.f64 (/.f64 (cos.f64 B) (sin.f64 B))))
(-.f64 (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))) (/.f64 1 (sin.f64 B)))
(neg.f64 (+.f64 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)) (/.f64 1 (sin.f64 B))))
(fma.f64 -1 (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x) (/.f64 -1 (sin.f64 B)))
(-.f64 (/.f64 -1 (sin.f64 B)) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B))))
(fma.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (neg.f64 x) (/.f64 -1 (sin.f64 B)))
(-.f64 (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))) (/.f64 1 (sin.f64 B)))
(neg.f64 (+.f64 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)) (/.f64 1 (sin.f64 B))))
(fma.f64 -1 (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x) (/.f64 -1 (sin.f64 B)))
(-.f64 (/.f64 -1 (sin.f64 B)) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B))))
(fma.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (neg.f64 x) (/.f64 -1 (sin.f64 B)))
(-.f64 (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))) (/.f64 1 (sin.f64 B)))
(neg.f64 (+.f64 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)) (/.f64 1 (sin.f64 B))))
(fma.f64 -1 (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x) (/.f64 -1 (sin.f64 B)))
(-.f64 (/.f64 -1 (sin.f64 B)) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B))))
(fma.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (neg.f64 x) (/.f64 -1 (sin.f64 B)))
(.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B)))
(neg.f64 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(/.f64 (neg.f64 (*.f64 (cos.f64 B) x)) (sin.f64 B))
(/.f64 (neg.f64 x) (/.f64 (sin.f64 B) (cos.f64 B)))
(*.f64 x (neg.f64 (/.f64 (cos.f64 B) (sin.f64 B))))
(-.f64 (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))) (/.f64 1 (sin.f64 B)))
(neg.f64 (+.f64 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)) (/.f64 1 (sin.f64 B))))
(fma.f64 -1 (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x) (/.f64 -1 (sin.f64 B)))
(-.f64 (/.f64 -1 (sin.f64 B)) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B))))
(fma.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (neg.f64 x) (/.f64 -1 (sin.f64 B)))
(-.f64 (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))) (/.f64 1 (sin.f64 B)))
(neg.f64 (+.f64 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)) (/.f64 1 (sin.f64 B))))
(fma.f64 -1 (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x) (/.f64 -1 (sin.f64 B)))
(-.f64 (/.f64 -1 (sin.f64 B)) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B))))
(fma.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (neg.f64 x) (/.f64 -1 (sin.f64 B)))
(-.f64 (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))) (/.f64 1 (sin.f64 B)))
(neg.f64 (+.f64 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)) (/.f64 1 (sin.f64 B))))
(fma.f64 -1 (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x) (/.f64 -1 (sin.f64 B)))
(-.f64 (/.f64 -1 (sin.f64 B)) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B))))
(fma.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (neg.f64 x) (/.f64 -1 (sin.f64 B)))

localize38.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (+.f64 (.f64 F (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x)))))) (*.f64 -1 x)) B)
✓	0.3b	(.f64 F (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x))))))
✓	0.4b	(/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (*.f64 2 x))))
✓	15.5b	(sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (*.f64 2 x)))))

Compiler

Compiled 107 to 82 computations (23.4% saved)

series19.0ms (0%)

Counts

4 → 86

Calls

27 calls:

Time	Variable		Expression
2.0ms	B	@	(/.f64 (+.f64 (.f64 F (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x)))))) (*.f64 -1 x)) B)
1.0ms	x	@	(/.f64 (+.f64 (.f64 F (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x)))))) (*.f64 -1 x)) B)
1.0ms	F	@	(.f64 F (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x))))))
1.0ms	F	@	(/.f64 (+.f64 (.f64 F (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x)))))) (*.f64 -1 x)) B)
1.0ms	F	@	(sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (*.f64 2 x)))))

rewrite70.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

527×	`fma-def_binary64`
344×	`fma-neg_binary64`
296×	`expm1-udef_binary64`
296×	`log1p-udef_binary64`
248×	`log-pow_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	82
1	376	56
2	5285	56

Stop Event

1×	node limit

Counts

4 → 105

Calls

Call 1

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

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

simplify84.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

752×	`times-frac_binary64`
682×	`associate-/l*_binary64`
529×	`distribute-rgt-in_binary64`
526×	`distribute-lft-in_binary64`
323×	`fma-def_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	318	4167
1	1098	3637
2	3453	3346

Stop Event

1×	node limit

Counts

191 → 230

Calls

Call 1

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

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

eval386.0ms (0.8%)

Compiler: Compiled 26888 to 14474 computations (46.2% saved)

prune191.0ms (0.4%)

Pruning

49 alts after pruning (46 fresh and 3 done)

	Pruned	Kept	Total
New	997	32	1029
Fresh	12	14	26
Picked	1	0	1
Done	3	3	6
Total	1013	49	1062

Error

0.0b

Counts

1062 → 49

Alt Table

Click to see full alt table

Status	Error	Program
	29.6b	(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (+.f64 0 (/.f64 F (.f64 (sqrt.f64 (+.f64 2 (*.f64 2 x))) (sin.f64 B)))))
	33.0b	(*.f64 x (neg.f64 (/.f64 (cos.f64 B) (sin.f64 B))))
✓	55.3b	(/.f64 -1 B)
✓	50.8b	(/.f64 -1 (sin.f64 B))
	38.3b	(-.f64 (*.f64 (/.f64 F (sin.f64 B)) (/.f64 1 F)) (/.f64 x (tan.f64 B)))
	50.8b	(-.f64 (+.f64 1 (/.f64 -1 (sin.f64 B))) 1)
	48.6b	(+.f64 (neg.f64 (/.f64 x B)) (/.f64 -1 (*.f64 (/.f64 (sin.f64 B) F) F)))
	49.6b	(/.f64 (+.f64 (.f64 F (/.f64 1 F)) (.f64 -1 x)) B)
	32.7b	(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 -1 B))
	30.2b	(.f64 (+.f64 (.f64 (cos.f64 B) x) 1) (/.f64 -1 (sin.f64 B)))
	52.0b	(/.f64 (+.f64 (+.f64 1 (/.f64 (-.f64 -1 x) (.f64 F F))) (.f64 -1 x)) B)
	49.2b	(/.f64 (+.f64 (.f64 F (sqrt.f64 (/.f64 1 (.f64 F F)))) (*.f64 -1 x)) B)
	30.1b	(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 2 x) 2)))))
	48.6b	(+.f64 (neg.f64 (/.f64 x B)) (/.f64 (/.f64 -1 F) (/.f64 (sin.f64 B) F)))
	43.7b	(/.f64 (fma.f64 (/.f64 F (sin.f64 B)) (tan.f64 B) (neg.f64 (.f64 F x))) (.f64 F (tan.f64 B)))
	56.8b	(/.f64 (+.f64 (.f64 F (sqrt.f64 (/.f64 1/2 x))) (.f64 -1 x)) B)
	38.5b	(-.f64 (/.f64 F (+.f64 (.f64 1/6 (.f64 F (pow.f64 B 3))) (.f64 -1 (.f64 F B)))) (/.f64 x (tan.f64 B)))
	51.9b	(+.f64 (/.f64 (-.f64 -1 x) (.f64 F (.f64 F B))) (/.f64 (-.f64 1 x) B))
	33.4b	(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 (sin.f64 B)))
	48.1b	(+.f64 (.f64 -1 (/.f64 (+.f64 1 x) B)) (.f64 -1/6 B))
	33.4b	(-.f64 (/.f64 F (*.f64 F (neg.f64 B))) (/.f64 x (tan.f64 B)))
	30.5b	(+.f64 (neg.f64 (/.f64 x B)) (.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (.f64 F F) 2) (*.f64 2 x)) (neg.f64 (/.f64 1 2)))))
	54.1b	(/.f64 (fma.f64 (/.f64 (neg.f64 F) (sin.f64 B)) B (.f64 F (neg.f64 x))) (.f64 F B))
	32.7b	(-.f64 (/.f64 -1 B) (/.f64 x (tan.f64 B)))
▶	53.1b	(*.f64 (sqrt.f64 (/.f64 1 (fma.f64 F F 2))) (/.f64 F B))
	49.6b	(/.f64 (-.f64 1 x) B)
▶	38.2b	(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (.f64 (/.f64 F B) (/.f64 -1 F)))
✓	36.0b	(fma.f64 (/.f64 F (sin.f64 B)) (/.f64 -1 F) (/.f64 (neg.f64 x) (tan.f64 B)))
	30.2b	(-.f64 (/.f64 -1 (sin.f64 B)) (/.f64 x (tan.f64 B)))
	53.3b	(/.f64 1 (sin.f64 B))
▶	48.9b	(/.f64 (neg.f64 x) B)
	48.4b	(+.f64 (.f64 (-.f64 (.f64 1/3 x) 1/6) B) (*.f64 -1 (/.f64 (+.f64 1 x) B)))
	53.7b	(+.f64 (neg.f64 (/.f64 x B)) (*.f64 (/.f64 F B) (/.f64 -1 F)))
	43.2b	(-.f64 (/.f64 F (cbrt.f64 (pow.f64 (*.f64 F (sin.f64 B)) 3))) (/.f64 x (tan.f64 B)))
▶	29.6b	(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 2 (*.f64 2 x)))) F) (sin.f64 B)))
	47.9b	(/.f64 (+.f64 (.f64 F (/.f64 -1 F)) (.f64 -1 x)) B)
	33.0b	(/.f64 (neg.f64 x) (/.f64 (sin.f64 B) (cos.f64 B)))
	48.0b	(/.f64 (+.f64 (.f64 F (sqrt.f64 (/.f64 1 (+.f64 (.f64 2 x) 2)))) (*.f64 -1 x)) B)
	30.1b	(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 (.f64 (sqrt.f64 (+.f64 2 (*.f64 2 x))) (/.f64 (sin.f64 B) F))))
	49.1b	(+.f64 (neg.f64 (/.f64 x B)) (.f64 (.f64 (/.f64 1 (sin.f64 B)) F) (/.f64 -1 F)))
	50.2b	(+.f64 (.f64 1/2 (/.f64 (fma.f64 2 x 2) (.f64 F (*.f64 F B)))) (/.f64 (-.f64 -1 x) B))
	50.3b	(/.f64 (+.f64 (-.f64 (.f64 1/2 (/.f64 (+.f64 2 (.f64 2 x)) (pow.f64 F 2))) 1) (*.f64 -1 x)) B)
	44.0b	(-.f64 (/.f64 F (*.f64 (sin.f64 B) (neg.f64 F))) (/.f64 x B))
	50.2b	(-.f64 (+.f64 (.f64 -1 (/.f64 x B)) (.f64 1/2 (/.f64 (+.f64 2 (.f64 2 x)) (.f64 (pow.f64 F 2) B)))) (/.f64 1 B))
	48.5b	(+.f64 (.f64 -1 (/.f64 x B)) (.f64 (/.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 2 x) 2)))))
	47.8b	(/.f64 (-.f64 -1 x) B)
	55.5b	(-.f64 (*.f64 -1/6 B) (/.f64 1 B))
	33.0b	(/.f64 (*.f64 x (neg.f64 (cos.f64 B))) (sin.f64 B))
▶	54.2b	(+.f64 (neg.f64 (/.f64 x B)) (.f64 (+.f64 (.f64 1/6 (*.f64 F B)) (/.f64 F B)) (/.f64 -1 F)))

Compiler

Compiled 1527 to 1122 computations (26.5% saved)

localize38.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(/.f64 1 (tan.f64 B))
	0.3b	(*.f64 x (/.f64 1 (tan.f64 B)))
✓	0.3b	(.f64 (sqrt.f64 (/.f64 1 (+.f64 2 (.f64 2 x)))) F)
✓	0.6b	(/.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 2 (.f64 2 x)))) F) (sin.f64 B))

Compiler

Compiled 96 to 66 computations (31.3% saved)

series16.0ms (0%)

Counts

2 → 36

Calls

15 calls:

Time	Variable		Point	Expression
4.0ms	x	@	0	(.f64 (sqrt.f64 (/.f64 1 (+.f64 2 (.f64 2 x)))) F)
2.0ms	x	@	inf	(/.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 2 (.f64 2 x)))) F) (sin.f64 B))
1.0ms	x	@	0	(/.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 2 (.f64 2 x)))) F) (sin.f64 B))
1.0ms	x	@	-inf	(/.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 2 (.f64 2 x)))) F) (sin.f64 B))
1.0ms	F	@	0	(/.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 2 (.f64 2 x)))) F) (sin.f64 B))

rewrite67.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

666×	`log-prod_binary64`
344×	`pow2_binary64`
241×	`pow1/3_binary64`
238×	`expm1-udef_binary64`
238×	`log1p-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	35
1	276	25
2	3582	25

Stop Event

1×	node limit

Counts

2 → 72

Calls

Call 1

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

Outputs

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

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

simplify80.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

855×	`distribute-rgt-in_binary64`
452×	`fma-neg_binary64`
427×	`fma-def_binary64`
383×	`cancel-sign-sub-inv_binary64`
339×	`associate-r_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	96	986
1	286	967
2	933	869
3	4798	811

Stop Event

1×	node limit

Counts

108 → 100

Calls

Call 1

Inputs
(/.f64 (*.f64 (sqrt.f64 1/2) F) (sin.f64 B))
(+.f64 (.f64 -1/4 (/.f64 (.f64 F x) (.f64 (sqrt.f64 1/2) (sin.f64 B)))) (/.f64 (.f64 (sqrt.f64 1/2) F) (sin.f64 B)))
(+.f64 (.f64 -1/4 (/.f64 (.f64 F x) (.f64 (sqrt.f64 1/2) (sin.f64 B)))) (+.f64 (.f64 1/2 (/.f64 (.f64 F (.f64 (-.f64 1/2 (pow.f64 (/.f64 -1/4 (sqrt.f64 1/2)) 2)) (pow.f64 x 2))) (.f64 (sqrt.f64 1/2) (sin.f64 B)))) (/.f64 (.f64 (sqrt.f64 1/2) F) (sin.f64 B))))
(+.f64 (.f64 -1/4 (/.f64 (.f64 F x) (.f64 (sqrt.f64 1/2) (sin.f64 B)))) (+.f64 (.f64 1/2 (/.f64 (.f64 F (.f64 (-.f64 1/2 (pow.f64 (/.f64 -1/4 (sqrt.f64 1/2)) 2)) (pow.f64 x 2))) (.f64 (sqrt.f64 1/2) (sin.f64 B)))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (+.f64 1/2 (.f64 -1/4 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 -1/4 (sqrt.f64 1/2)) 2)) (pow.f64 (sqrt.f64 1/2) 2)))) (.f64 F (pow.f64 x 3))) (.f64 (sqrt.f64 1/2) (sin.f64 B)))) (/.f64 (*.f64 (sqrt.f64 1/2) F) (sin.f64 B)))))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 2 (.f64 2 x)))) (/.f64 F (sin.f64 B)))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 2 (.f64 2 x)))) (/.f64 F (sin.f64 B)))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 2 (.f64 2 x)))) (/.f64 F (sin.f64 B)))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 2 (.f64 2 x)))) (/.f64 F (sin.f64 B)))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 2 (.f64 2 x)))) (/.f64 F (sin.f64 B)))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 2 (.f64 2 x)))) (/.f64 F (sin.f64 B)))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 2 (.f64 2 x)))) (/.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 (+.f64 (.f64 2 x) 2))))
(.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (.f64 2 x) 2))))
(.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (.f64 2 x) 2))))
(.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (.f64 2 x) 2))))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 2 (.f64 2 x)))) (/.f64 F B))
(+.f64 (.f64 1/6 (.f64 (sqrt.f64 (/.f64 1 (+.f64 2 (.f64 2 x)))) (.f64 F B))) (.f64 (sqrt.f64 (/.f64 1 (+.f64 2 (.f64 2 x)))) (/.f64 F B)))
(+.f64 (.f64 1/6 (.f64 (sqrt.f64 (/.f64 1 (+.f64 2 (.f64 2 x)))) (.f64 F B))) (+.f64 (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (+.f64 2 (.f64 2 x)))) (.f64 (+.f64 (.f64 1/120 F) (.f64 -1/36 F)) (pow.f64 B 3)))) (.f64 (sqrt.f64 (/.f64 1 (+.f64 2 (.f64 2 x)))) (/.f64 F B))))
(+.f64 (.f64 1/6 (.f64 (sqrt.f64 (/.f64 1 (+.f64 2 (.f64 2 x)))) (.f64 F B))) (+.f64 (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (+.f64 2 (.f64 2 x)))) (.f64 (+.f64 (.f64 1/120 F) (.f64 -1/36 F)) (pow.f64 B 3)))) (+.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 2 (.f64 2 x)))) (/.f64 F B)) (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (+.f64 2 (.f64 2 x)))) (.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)))))))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 2 (.f64 2 x)))) (/.f64 F (sin.f64 B)))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 2 (.f64 2 x)))) (/.f64 F (sin.f64 B)))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 2 (.f64 2 x)))) (/.f64 F (sin.f64 B)))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 2 (.f64 2 x)))) (/.f64 F (sin.f64 B)))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 2 (.f64 2 x)))) (/.f64 F (sin.f64 B)))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 2 (.f64 2 x)))) (/.f64 F (sin.f64 B)))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 2 (.f64 2 x)))) (/.f64 F (sin.f64 B)))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 2 (.f64 2 x)))) (/.f64 F (sin.f64 B)))
(*.f64 (sqrt.f64 1/2) F)
(+.f64 (.f64 -1/4 (/.f64 (.f64 F x) (sqrt.f64 1/2))) (*.f64 (sqrt.f64 1/2) F))
(+.f64 (.f64 -1/4 (/.f64 (.f64 F x) (sqrt.f64 1/2))) (+.f64 (.f64 1/2 (/.f64 (.f64 F (.f64 (-.f64 1/2 (pow.f64 (/.f64 -1/4 (sqrt.f64 1/2)) 2)) (pow.f64 x 2))) (sqrt.f64 1/2))) (.f64 (sqrt.f64 1/2) F)))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (+.f64 1/2 (.f64 -1/4 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 -1/4 (sqrt.f64 1/2)) 2)) (pow.f64 (sqrt.f64 1/2) 2)))) (.f64 F (pow.f64 x 3))) (sqrt.f64 1/2))) (+.f64 (.f64 -1/4 (/.f64 (.f64 F x) (sqrt.f64 1/2))) (+.f64 (.f64 1/2 (/.f64 (.f64 F (.f64 (-.f64 1/2 (pow.f64 (/.f64 -1/4 (sqrt.f64 1/2)) 2)) (pow.f64 x 2))) (sqrt.f64 1/2))) (.f64 (sqrt.f64 1/2) F))))
(.f64 F (sqrt.f64 (/.f64 1 (+.f64 (.f64 2 x) 2))))
(.f64 F (sqrt.f64 (/.f64 1 (+.f64 (.f64 2 x) 2))))
(.f64 F (sqrt.f64 (/.f64 1 (+.f64 (.f64 2 x) 2))))
(.f64 F (sqrt.f64 (/.f64 1 (+.f64 (.f64 2 x) 2))))

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

localize6.0ms (0%)

Compiler: Compiled 11 to 5 computations (54.5% saved)

localize21.0ms (0%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (neg.f64 (/.f64 x B)) (.f64 (+.f64 (.f64 1/6 (*.f64 F B)) (/.f64 F B)) (/.f64 -1 F)))
✓	0.0b	(+.f64 (.f64 1/6 (.f64 F B)) (/.f64 F B))
✓	0.7b	(.f64 1/6 (.f64 F B))
✓	17.1b	(.f64 (+.f64 (.f64 1/6 (*.f64 F B)) (/.f64 F B)) (/.f64 -1 F))

Compiler

Compiled 69 to 29 computations (58% saved)

series14.0ms (0%)

Counts

4 → 81

Calls

27 calls:

Time	Variable		Point	Expression
2.0ms	F	@	-inf	(+.f64 (neg.f64 (/.f64 x B)) (.f64 (+.f64 (.f64 1/6 (*.f64 F B)) (/.f64 F B)) (/.f64 -1 F)))
1.0ms	F	@	0	(.f64 (+.f64 (.f64 1/6 (*.f64 F B)) (/.f64 F B)) (/.f64 -1 F))
1.0ms	F	@	inf	(.f64 (+.f64 (.f64 1/6 (*.f64 F B)) (/.f64 F B)) (/.f64 -1 F))
1.0ms	x	@	0	(+.f64 (neg.f64 (/.f64 x B)) (.f64 (+.f64 (.f64 1/6 (*.f64 F B)) (/.f64 F B)) (/.f64 -1 F)))
1.0ms	B	@	0	(.f64 (+.f64 (.f64 1/6 (*.f64 F B)) (/.f64 F B)) (/.f64 -1 F))

rewrite92.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

857×	`log-prod_binary64`
686×	`fma-def_binary64`
322×	`fma-neg_binary64`
289×	`expm1-udef_binary64`
289×	`log1p-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	60
1	337	55
2	4978	55

Stop Event

1×	node limit

Counts

4 → 225

Calls

Call 1

Inputs
(.f64 (+.f64 (.f64 1/6 (*.f64 F B)) (/.f64 F B)) (/.f64 -1 F))
(.f64 1/6 (.f64 F B))
(+.f64 (.f64 1/6 (.f64 F B)) (/.f64 F B))
(+.f64 (neg.f64 (/.f64 x B)) (.f64 (+.f64 (.f64 1/6 (*.f64 F B)) (/.f64 F B)) (/.f64 -1 F)))

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

simplify90.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

905×	`fma-neg_binary64`
569×	`div-sub_binary64`
385×	`cancel-sign-sub-inv_binary64`
383×	`associate-/l*_binary64`
359×	`sub-neg_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	40	1167
1	111	1093
2	257	1031
3	588	1031
4	1192	761
5	2485	761
6	5983	761
7	7230	761

Stop Event

1×	node limit

Counts

306 → 248

Calls

Call 1

Inputs
(.f64 -1 (+.f64 (.f64 1/6 B) (/.f64 1 B)))
(.f64 -1 (+.f64 (.f64 1/6 B) (/.f64 1 B)))
(.f64 -1 (+.f64 (.f64 1/6 B) (/.f64 1 B)))
(.f64 -1 (+.f64 (.f64 1/6 B) (/.f64 1 B)))
(.f64 -1 (+.f64 (.f64 1/6 B) (/.f64 1 B)))
(.f64 -1 (+.f64 (.f64 1/6 B) (/.f64 1 B)))
(.f64 -1 (+.f64 (.f64 1/6 B) (/.f64 1 B)))
(.f64 -1 (+.f64 (.f64 1/6 B) (/.f64 1 B)))
(-.f64 (*.f64 -1/6 B) (/.f64 1 B))
(-.f64 (*.f64 -1/6 B) (/.f64 1 B))
(-.f64 (*.f64 -1/6 B) (/.f64 1 B))
(-.f64 (*.f64 -1/6 B) (/.f64 1 B))
(/.f64 -1 B)
(-.f64 (*.f64 -1/6 B) (/.f64 1 B))
(-.f64 (*.f64 -1/6 B) (/.f64 1 B))
(-.f64 (*.f64 -1/6 B) (/.f64 1 B))
(*.f64 -1/6 B)
(-.f64 (*.f64 -1/6 B) (/.f64 1 B))
(-.f64 (*.f64 -1/6 B) (/.f64 1 B))
(-.f64 (*.f64 -1/6 B) (/.f64 1 B))
(*.f64 -1/6 B)
(-.f64 (*.f64 -1/6 B) (/.f64 1 B))
(-.f64 (*.f64 -1/6 B) (/.f64 1 B))
(-.f64 (*.f64 -1/6 B) (/.f64 1 B))
(.f64 (+.f64 (.f64 1/6 B) (/.f64 1 B)) F)
(.f64 (+.f64 (.f64 1/6 B) (/.f64 1 B)) F)
(.f64 (+.f64 (.f64 1/6 B) (/.f64 1 B)) F)
(.f64 (+.f64 (.f64 1/6 B) (/.f64 1 B)) F)
(.f64 (+.f64 (.f64 1/6 B) (/.f64 1 B)) F)
(.f64 (+.f64 (.f64 1/6 B) (/.f64 1 B)) F)
(.f64 (+.f64 (.f64 1/6 B) (/.f64 1 B)) F)
(.f64 (+.f64 (.f64 1/6 B) (/.f64 1 B)) F)
(.f64 -1 (.f64 F (-.f64 (*.f64 -1/6 B) (/.f64 1 B))))
(.f64 -1 (.f64 F (-.f64 (*.f64 -1/6 B) (/.f64 1 B))))
(.f64 -1 (.f64 F (-.f64 (*.f64 -1/6 B) (/.f64 1 B))))
(.f64 -1 (.f64 F (-.f64 (*.f64 -1/6 B) (/.f64 1 B))))
(/.f64 F B)
(.f64 1/6 (.f64 F B))
(+.f64 (/.f64 F B) (.f64 1/6 (.f64 F B)))
(+.f64 (/.f64 F B) (.f64 1/6 (.f64 F B)))
(+.f64 (/.f64 F B) (.f64 1/6 (.f64 F B)))
(.f64 1/6 (.f64 F B))
(+.f64 (/.f64 F B) (.f64 1/6 (.f64 F B)))
(+.f64 (/.f64 F B) (.f64 1/6 (.f64 F B)))
(+.f64 (/.f64 F B) (.f64 1/6 (.f64 F B)))
(.f64 -1 (/.f64 (+.f64 (.f64 1/6 (*.f64 F B)) (/.f64 F B)) F))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 1/6 (.f64 F B)) (/.f64 F B)) F)) (.f64 -1 (/.f64 x B)))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 1/6 (.f64 F B)) (/.f64 F B)) F)) (.f64 -1 (/.f64 x B)))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 1/6 (.f64 F B)) (/.f64 F B)) F)) (.f64 -1 (/.f64 x B)))
(*.f64 -1 (/.f64 x B))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 1/6 (.f64 F B)) (/.f64 F B)) F)) (.f64 -1 (/.f64 x B)))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 1/6 (.f64 F B)) (/.f64 F B)) F)) (.f64 -1 (/.f64 x B)))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 1/6 (.f64 F B)) (/.f64 F B)) F)) (.f64 -1 (/.f64 x B)))
(*.f64 -1 (/.f64 x B))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 1/6 (.f64 F B)) (/.f64 F B)) F)) (.f64 -1 (/.f64 x B)))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 1/6 (.f64 F B)) (/.f64 F B)) F)) (.f64 -1 (/.f64 x B)))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 1/6 (.f64 F B)) (/.f64 F B)) F)) (.f64 -1 (/.f64 x B)))
(*.f64 -1 (/.f64 (+.f64 1 x) B))
(+.f64 (.f64 -1 (/.f64 (+.f64 1 x) B)) (.f64 -1/6 B))
(+.f64 (.f64 -1 (/.f64 (+.f64 1 x) B)) (.f64 -1/6 B))
(+.f64 (.f64 -1 (/.f64 (+.f64 1 x) B)) (.f64 -1/6 B))
(*.f64 -1/6 B)
(+.f64 (.f64 -1 (/.f64 (+.f64 1 x) B)) (.f64 -1/6 B))
(+.f64 (.f64 -1 (/.f64 (+.f64 1 x) B)) (.f64 -1/6 B))
(+.f64 (.f64 -1 (/.f64 (+.f64 1 x) B)) (.f64 -1/6 B))
(*.f64 -1/6 B)
(+.f64 (.f64 -1/6 B) (.f64 -1 (/.f64 (-.f64 1 (*.f64 -1 x)) B)))
(+.f64 (.f64 -1/6 B) (.f64 -1 (/.f64 (-.f64 1 (*.f64 -1 x)) B)))
(+.f64 (.f64 -1/6 B) (.f64 -1 (/.f64 (-.f64 1 (*.f64 -1 x)) B)))
(-.f64 (.f64 -1 (+.f64 (.f64 1/6 B) (/.f64 1 B))) (/.f64 x B))
(-.f64 (.f64 -1 (+.f64 (.f64 1/6 B) (/.f64 1 B))) (/.f64 x B))
(-.f64 (.f64 -1 (+.f64 (.f64 1/6 B) (/.f64 1 B))) (/.f64 x B))
(-.f64 (.f64 -1 (+.f64 (.f64 1/6 B) (/.f64 1 B))) (/.f64 x B))
(-.f64 (.f64 -1 (+.f64 (.f64 1/6 B) (/.f64 1 B))) (/.f64 x B))
(-.f64 (.f64 -1 (+.f64 (.f64 1/6 B) (/.f64 1 B))) (/.f64 x B))
(-.f64 (.f64 -1 (+.f64 (.f64 1/6 B) (/.f64 1 B))) (/.f64 x B))
(-.f64 (.f64 -1 (+.f64 (.f64 1/6 B) (/.f64 1 B))) (/.f64 x B))
(-.f64 (*.f64 -1/6 B) (+.f64 (/.f64 x B) (/.f64 1 B)))
(-.f64 (*.f64 -1/6 B) (+.f64 (/.f64 x B) (/.f64 1 B)))
(-.f64 (*.f64 -1/6 B) (+.f64 (/.f64 x B) (/.f64 1 B)))
(-.f64 (*.f64 -1/6 B) (+.f64 (/.f64 x B) (/.f64 1 B)))

Outputs
(.f64 -1 (+.f64 (.f64 1/6 B) (/.f64 1 B)))
(neg.f64 (fma.f64 1/6 B (/.f64 1 B)))
(fma.f64 B -1/6 (/.f64 -1 B))
(.f64 -1 (+.f64 (.f64 1/6 B) (/.f64 1 B)))
(neg.f64 (fma.f64 1/6 B (/.f64 1 B)))
(fma.f64 B -1/6 (/.f64 -1 B))
(.f64 -1 (+.f64 (.f64 1/6 B) (/.f64 1 B)))
(neg.f64 (fma.f64 1/6 B (/.f64 1 B)))
(fma.f64 B -1/6 (/.f64 -1 B))
(.f64 -1 (+.f64 (.f64 1/6 B) (/.f64 1 B)))
(neg.f64 (fma.f64 1/6 B (/.f64 1 B)))
(fma.f64 B -1/6 (/.f64 -1 B))
(.f64 -1 (+.f64 (.f64 1/6 B) (/.f64 1 B)))
(neg.f64 (fma.f64 1/6 B (/.f64 1 B)))
(fma.f64 B -1/6 (/.f64 -1 B))
(.f64 -1 (+.f64 (.f64 1/6 B) (/.f64 1 B)))
(neg.f64 (fma.f64 1/6 B (/.f64 1 B)))
(fma.f64 B -1/6 (/.f64 -1 B))
(.f64 -1 (+.f64 (.f64 1/6 B) (/.f64 1 B)))
(neg.f64 (fma.f64 1/6 B (/.f64 1 B)))
(fma.f64 B -1/6 (/.f64 -1 B))
(.f64 -1 (+.f64 (.f64 1/6 B) (/.f64 1 B)))
(neg.f64 (fma.f64 1/6 B (/.f64 1 B)))
(fma.f64 B -1/6 (/.f64 -1 B))
(-.f64 (*.f64 -1/6 B) (/.f64 1 B))
(neg.f64 (fma.f64 1/6 B (/.f64 1 B)))
(fma.f64 B -1/6 (/.f64 -1 B))
(-.f64 (*.f64 -1/6 B) (/.f64 1 B))
(neg.f64 (fma.f64 1/6 B (/.f64 1 B)))
(fma.f64 B -1/6 (/.f64 -1 B))
(-.f64 (*.f64 -1/6 B) (/.f64 1 B))
(neg.f64 (fma.f64 1/6 B (/.f64 1 B)))
(fma.f64 B -1/6 (/.f64 -1 B))
(-.f64 (*.f64 -1/6 B) (/.f64 1 B))
(neg.f64 (fma.f64 1/6 B (/.f64 1 B)))
(fma.f64 B -1/6 (/.f64 -1 B))
(/.f64 -1 B)
(-.f64 (*.f64 -1/6 B) (/.f64 1 B))
(neg.f64 (fma.f64 1/6 B (/.f64 1 B)))
(fma.f64 B -1/6 (/.f64 -1 B))
(-.f64 (*.f64 -1/6 B) (/.f64 1 B))
(neg.f64 (fma.f64 1/6 B (/.f64 1 B)))
(fma.f64 B -1/6 (/.f64 -1 B))
(-.f64 (*.f64 -1/6 B) (/.f64 1 B))
(neg.f64 (fma.f64 1/6 B (/.f64 1 B)))
(fma.f64 B -1/6 (/.f64 -1 B))
(*.f64 -1/6 B)
(*.f64 B -1/6)
(-.f64 (*.f64 -1/6 B) (/.f64 1 B))
(neg.f64 (fma.f64 1/6 B (/.f64 1 B)))
(fma.f64 B -1/6 (/.f64 -1 B))
(-.f64 (*.f64 -1/6 B) (/.f64 1 B))
(neg.f64 (fma.f64 1/6 B (/.f64 1 B)))
(fma.f64 B -1/6 (/.f64 -1 B))
(-.f64 (*.f64 -1/6 B) (/.f64 1 B))
(neg.f64 (fma.f64 1/6 B (/.f64 1 B)))
(fma.f64 B -1/6 (/.f64 -1 B))
(*.f64 -1/6 B)
(*.f64 B -1/6)
(-.f64 (*.f64 -1/6 B) (/.f64 1 B))
(neg.f64 (fma.f64 1/6 B (/.f64 1 B)))
(fma.f64 B -1/6 (/.f64 -1 B))
(-.f64 (*.f64 -1/6 B) (/.f64 1 B))
(neg.f64 (fma.f64 1/6 B (/.f64 1 B)))
(fma.f64 B -1/6 (/.f64 -1 B))
(-.f64 (*.f64 -1/6 B) (/.f64 1 B))
(neg.f64 (fma.f64 1/6 B (/.f64 1 B)))
(fma.f64 B -1/6 (/.f64 -1 B))
(.f64 (+.f64 (.f64 1/6 B) (/.f64 1 B)) F)
(*.f64 (fma.f64 1/6 B (/.f64 1 B)) F)
(fma.f64 1/6 (*.f64 B F) (/.f64 F B))
(fma.f64 B (*.f64 1/6 F) (/.f64 F B))
(.f64 (+.f64 (.f64 1/6 B) (/.f64 1 B)) F)
(*.f64 (fma.f64 1/6 B (/.f64 1 B)) F)
(fma.f64 1/6 (*.f64 B F) (/.f64 F B))
(fma.f64 B (*.f64 1/6 F) (/.f64 F B))
(.f64 (+.f64 (.f64 1/6 B) (/.f64 1 B)) F)
(*.f64 (fma.f64 1/6 B (/.f64 1 B)) F)
(fma.f64 1/6 (*.f64 B F) (/.f64 F B))
(fma.f64 B (*.f64 1/6 F) (/.f64 F B))
(.f64 (+.f64 (.f64 1/6 B) (/.f64 1 B)) F)
(*.f64 (fma.f64 1/6 B (/.f64 1 B)) F)
(fma.f64 1/6 (*.f64 B F) (/.f64 F B))
(fma.f64 B (*.f64 1/6 F) (/.f64 F B))
(.f64 (+.f64 (.f64 1/6 B) (/.f64 1 B)) F)
(*.f64 (fma.f64 1/6 B (/.f64 1 B)) F)
(fma.f64 1/6 (*.f64 B F) (/.f64 F B))
(fma.f64 B (*.f64 1/6 F) (/.f64 F B))
(.f64 (+.f64 (.f64 1/6 B) (/.f64 1 B)) F)
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(.f64 -1 (+.f64 (/.f64 (fma.f64 1/6 (.f64 B F) (/.f64 F B)) F) (/.f64 x B)))
(-.f64 (/.f64 (neg.f64 (fma.f64 1/6 (*.f64 B F) (/.f64 F B))) F) (/.f64 x B))
(-.f64 (/.f64 (*.f64 (fma.f64 B -1/6 (/.f64 -1 B)) F) F) (/.f64 x B))
(-.f64 (/.f64 (fma.f64 B -1/6 (/.f64 -1 B)) (/.f64 F F)) (/.f64 x B))
(fma.f64 B -1/6 (/.f64 (-.f64 -1 x) B))
(-.f64 (*.f64 -1/6 B) (+.f64 (/.f64 x B) (/.f64 1 B)))
(.f64 -1 (+.f64 (/.f64 (fma.f64 1/6 (.f64 B F) (/.f64 F B)) F) (/.f64 x B)))
(-.f64 (/.f64 (neg.f64 (fma.f64 1/6 (*.f64 B F) (/.f64 F B))) F) (/.f64 x B))
(-.f64 (/.f64 (*.f64 (fma.f64 B -1/6 (/.f64 -1 B)) F) F) (/.f64 x B))
(-.f64 (/.f64 (fma.f64 B -1/6 (/.f64 -1 B)) (/.f64 F F)) (/.f64 x B))
(fma.f64 B -1/6 (/.f64 (-.f64 -1 x) B))
(-.f64 (*.f64 -1/6 B) (+.f64 (/.f64 x B) (/.f64 1 B)))
(.f64 -1 (+.f64 (/.f64 (fma.f64 1/6 (.f64 B F) (/.f64 F B)) F) (/.f64 x B)))
(-.f64 (/.f64 (neg.f64 (fma.f64 1/6 (*.f64 B F) (/.f64 F B))) F) (/.f64 x B))
(-.f64 (/.f64 (*.f64 (fma.f64 B -1/6 (/.f64 -1 B)) F) F) (/.f64 x B))
(-.f64 (/.f64 (fma.f64 B -1/6 (/.f64 -1 B)) (/.f64 F F)) (/.f64 x B))
(fma.f64 B -1/6 (/.f64 (-.f64 -1 x) B))
(-.f64 (*.f64 -1/6 B) (+.f64 (/.f64 x B) (/.f64 1 B)))
(.f64 -1 (+.f64 (/.f64 (fma.f64 1/6 (.f64 B F) (/.f64 F B)) F) (/.f64 x B)))
(-.f64 (/.f64 (neg.f64 (fma.f64 1/6 (*.f64 B F) (/.f64 F B))) F) (/.f64 x B))
(-.f64 (/.f64 (*.f64 (fma.f64 B -1/6 (/.f64 -1 B)) F) F) (/.f64 x B))
(-.f64 (/.f64 (fma.f64 B -1/6 (/.f64 -1 B)) (/.f64 F F)) (/.f64 x B))
(fma.f64 B -1/6 (/.f64 (-.f64 -1 x) B))

localize57.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (.f64 (/.f64 F B) (/.f64 -1 F)))
	0.1b	(/.f64 1 (tan.f64 B))
	0.3b	(*.f64 x (/.f64 1 (tan.f64 B)))
✓	13.7b	(*.f64 (/.f64 F B) (/.f64 -1 F))

Compiler

Compiled 55 to 29 computations (47.3% saved)

series5.0ms (0%)

Counts

2 → 60

Calls

15 calls:

Time	Variable		Point	Expression
0.0ms	F	@	0	(*.f64 (/.f64 F B) (/.f64 -1 F))
0.0ms	F	@	0	(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (.f64 (/.f64 F B) (/.f64 -1 F)))
0.0ms	B	@	inf	(*.f64 (/.f64 F B) (/.f64 -1 F))
0.0ms	B	@	0	(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (.f64 (/.f64 F B) (/.f64 -1 F)))
0.0ms	x	@	0	(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (.f64 (/.f64 F B) (/.f64 -1 F)))

rewrite74.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

777×	`log-prod_binary64`
539×	`fma-def_binary64`
254×	`expm1-udef_binary64`
254×	`log1p-udef_binary64`
240×	`fma-neg_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	30
1	309	25
2	4488	25

Stop Event

1×	node limit

Counts

2 → 158

Calls

Call 1

Inputs
(*.f64 (/.f64 F B) (/.f64 -1 F))
(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (.f64 (/.f64 F B) (/.f64 -1 F)))

Outputs

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

simplify50.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

852×	`cancel-sign-sub-inv_binary64`
839×	`fma-neg_binary64`
423×	`distribute-rgt-in_binary64`
399×	`associate-+l+_binary64`
393×	`distribute-lft-out_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	44	766
1	120	731
2	320	694
3	1128	688
4	3877	688

Stop Event

1×	node limit

Counts

218 → 172

Calls

Call 1

Inputs
(/.f64 -1 B)
(/.f64 -1 B)
(/.f64 -1 B)
(/.f64 -1 B)
(/.f64 -1 B)
(/.f64 -1 B)
(/.f64 -1 B)
(/.f64 -1 B)
(/.f64 -1 B)
(/.f64 -1 B)
(/.f64 -1 B)
(/.f64 -1 B)
(/.f64 -1 B)
(/.f64 -1 B)
(/.f64 -1 B)
(/.f64 -1 B)
(/.f64 -1 B)
(/.f64 -1 B)
(/.f64 -1 B)
(/.f64 -1 B)
(/.f64 -1 B)
(/.f64 -1 B)
(/.f64 -1 B)
(/.f64 -1 B)
(/.f64 -1 B)
(-.f64 (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))) (/.f64 1 B))
(-.f64 (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))) (/.f64 1 B))
(-.f64 (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))) (/.f64 1 B))
(.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))) (/.f64 1 B))
(-.f64 (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))) (/.f64 1 B))
(-.f64 (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))) (/.f64 1 B))
(.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))) (/.f64 1 B))
(-.f64 (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))) (/.f64 1 B))
(-.f64 (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))) (/.f64 1 B))
(*.f64 -1 (/.f64 (+.f64 1 x) B))
(+.f64 (.f64 -1 (/.f64 (+.f64 1 x) B)) (.f64 1/3 (*.f64 B x)))
(+.f64 (.f64 -1 (/.f64 (+.f64 1 x) B)) (+.f64 (.f64 1/3 (.f64 B x)) (.f64 (+.f64 (.f64 -1/9 x) (.f64 2/15 x)) (pow.f64 B 3))))
(+.f64 (.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 1 x) B)) (+.f64 (.f64 1/3 (.f64 B x)) (.f64 (+.f64 (.f64 -1/9 x) (.f64 2/15 x)) (pow.f64 B 3)))))
(.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))) (/.f64 1 B))
(-.f64 (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))) (/.f64 1 B))
(-.f64 (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))) (/.f64 1 B))
(.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))) (/.f64 1 B))
(-.f64 (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))) (/.f64 1 B))
(-.f64 (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))) (/.f64 1 B))
(.f64 -1 (+.f64 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B)) (/.f64 1 B)))
(.f64 -1 (+.f64 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B)) (/.f64 1 B)))
(.f64 -1 (+.f64 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B)) (/.f64 1 B)))
(.f64 -1 (+.f64 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B)) (/.f64 1 B)))
(.f64 -1 (+.f64 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B)) (/.f64 1 B)))
(.f64 -1 (+.f64 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B)) (/.f64 1 B)))
(.f64 -1 (+.f64 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B)) (/.f64 1 B)))
(.f64 -1 (+.f64 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B)) (/.f64 1 B)))
(.f64 -1 (+.f64 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B)) (/.f64 1 B)))
(.f64 -1 (+.f64 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B)) (/.f64 1 B)))
(.f64 -1 (+.f64 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B)) (/.f64 1 B)))
(.f64 -1 (+.f64 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B)) (/.f64 1 B)))

Outputs
(/.f64 -1 B)
(/.f64 -1 B)
(/.f64 -1 B)
(/.f64 -1 B)
(/.f64 -1 B)
(/.f64 -1 B)
(/.f64 -1 B)
(/.f64 -1 B)
(/.f64 -1 B)
(/.f64 -1 B)
(/.f64 -1 B)
(/.f64 -1 B)
(/.f64 -1 B)
(/.f64 -1 B)
(/.f64 -1 B)
(/.f64 -1 B)
(/.f64 -1 B)
(/.f64 -1 B)
(/.f64 -1 B)
(/.f64 -1 B)
(/.f64 -1 B)
(/.f64 -1 B)
(/.f64 -1 B)
(/.f64 -1 B)
(/.f64 -1 B)
(-.f64 (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))) (/.f64 1 B))
(-.f64 (neg.f64 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) (/.f64 1 B))
(fma.f64 -1 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)) (/.f64 -1 B))
(-.f64 (/.f64 -1 B) (/.f64 x (/.f64 (sin.f64 B) (cos.f64 B))))
(-.f64 (/.f64 -1 B) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B))))
(-.f64 (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))) (/.f64 1 B))
(-.f64 (neg.f64 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) (/.f64 1 B))
(fma.f64 -1 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)) (/.f64 -1 B))
(-.f64 (/.f64 -1 B) (/.f64 x (/.f64 (sin.f64 B) (cos.f64 B))))
(-.f64 (/.f64 -1 B) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B))))
(-.f64 (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))) (/.f64 1 B))
(-.f64 (neg.f64 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) (/.f64 1 B))
(fma.f64 -1 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)) (/.f64 -1 B))
(-.f64 (/.f64 -1 B) (/.f64 x (/.f64 (sin.f64 B) (cos.f64 B))))
(-.f64 (/.f64 -1 B) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B))))
(.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B)))
(neg.f64 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(/.f64 (neg.f64 (*.f64 (cos.f64 B) x)) (sin.f64 B))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (neg.f64 x))
(*.f64 x (/.f64 (neg.f64 (cos.f64 B)) (sin.f64 B)))
(*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B)))
(-.f64 (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))) (/.f64 1 B))
(-.f64 (neg.f64 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) (/.f64 1 B))
(fma.f64 -1 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)) (/.f64 -1 B))
(-.f64 (/.f64 -1 B) (/.f64 x (/.f64 (sin.f64 B) (cos.f64 B))))
(-.f64 (/.f64 -1 B) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B))))
(-.f64 (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))) (/.f64 1 B))
(-.f64 (neg.f64 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) (/.f64 1 B))
(fma.f64 -1 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)) (/.f64 -1 B))
(-.f64 (/.f64 -1 B) (/.f64 x (/.f64 (sin.f64 B) (cos.f64 B))))
(-.f64 (/.f64 -1 B) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B))))
(-.f64 (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))) (/.f64 1 B))
(-.f64 (neg.f64 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) (/.f64 1 B))
(fma.f64 -1 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)) (/.f64 -1 B))
(-.f64 (/.f64 -1 B) (/.f64 x (/.f64 (sin.f64 B) (cos.f64 B))))
(-.f64 (/.f64 -1 B) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B))))
(.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B)))
(neg.f64 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(/.f64 (neg.f64 (*.f64 (cos.f64 B) x)) (sin.f64 B))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (neg.f64 x))
(*.f64 x (/.f64 (neg.f64 (cos.f64 B)) (sin.f64 B)))
(*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B)))
(-.f64 (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))) (/.f64 1 B))
(-.f64 (neg.f64 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) (/.f64 1 B))
(fma.f64 -1 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)) (/.f64 -1 B))
(-.f64 (/.f64 -1 B) (/.f64 x (/.f64 (sin.f64 B) (cos.f64 B))))
(-.f64 (/.f64 -1 B) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B))))
(-.f64 (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))) (/.f64 1 B))
(-.f64 (neg.f64 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) (/.f64 1 B))
(fma.f64 -1 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)) (/.f64 -1 B))
(-.f64 (/.f64 -1 B) (/.f64 x (/.f64 (sin.f64 B) (cos.f64 B))))
(-.f64 (/.f64 -1 B) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B))))
(-.f64 (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))) (/.f64 1 B))
(-.f64 (neg.f64 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) (/.f64 1 B))
(fma.f64 -1 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)) (/.f64 -1 B))
(-.f64 (/.f64 -1 B) (/.f64 x (/.f64 (sin.f64 B) (cos.f64 B))))
(-.f64 (/.f64 -1 B) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B))))
(*.f64 -1 (/.f64 (+.f64 1 x) B))
(neg.f64 (/.f64 (+.f64 x 1) B))
(/.f64 (neg.f64 (+.f64 x 1)) B)
(/.f64 (fma.f64 -1 x -1) B)
(/.f64 (-.f64 -1 x) B)
(+.f64 (.f64 -1 (/.f64 (+.f64 1 x) B)) (.f64 1/3 (*.f64 B x)))
(fma.f64 -1 (/.f64 (+.f64 x 1) B) (.f64 (.f64 1/3 B) x))
(fma.f64 1/3 (*.f64 B x) (/.f64 (neg.f64 (+.f64 x 1)) B))
(fma.f64 B (*.f64 x 1/3) (/.f64 (fma.f64 -1 x -1) B))
(fma.f64 B (*.f64 x 1/3) (/.f64 (-.f64 -1 x) B))
(+.f64 (.f64 -1 (/.f64 (+.f64 1 x) B)) (+.f64 (.f64 1/3 (.f64 B x)) (.f64 (+.f64 (.f64 -1/9 x) (.f64 2/15 x)) (pow.f64 B 3))))
(fma.f64 -1 (/.f64 (+.f64 x 1) B) (fma.f64 1/3 (.f64 B x) (.f64 (*.f64 x 1/45) (pow.f64 B 3))))
(-.f64 (fma.f64 1/3 (.f64 B x) (.f64 (*.f64 x 1/45) (pow.f64 B 3))) (/.f64 (+.f64 x 1) B))
(-.f64 (.f64 x (+.f64 (.f64 (pow.f64 B 3) 1/45) (*.f64 B 1/3))) (/.f64 (+.f64 x 1) B))
(fma.f64 x (+.f64 (.f64 B 1/3) (.f64 (pow.f64 B 3) 1/45)) (/.f64 (-.f64 -1 x) B))
(+.f64 (.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 1 x) B)) (+.f64 (.f64 1/3 (.f64 B x)) (.f64 (+.f64 (.f64 -1/9 x) (.f64 2/15 x)) (pow.f64 B 3)))))
(fma.f64 (fma.f64 17/315 x (fma.f64 -2/45 x (.f64 (.f64 x 1/45) -1/3))) (pow.f64 B 5) (fma.f64 -1 (/.f64 (+.f64 x 1) B) (fma.f64 1/3 (.f64 B x) (.f64 (*.f64 x 1/45) (pow.f64 B 3)))))
(fma.f64 (+.f64 (.f64 x -1/135) (.f64 x 1/105)) (pow.f64 B 5) (-.f64 (fma.f64 1/3 (.f64 B x) (.f64 (*.f64 x 1/45) (pow.f64 B 3))) (/.f64 (+.f64 x 1) B)))
(-.f64 (fma.f64 (.f64 x 2/945) (pow.f64 B 5) (.f64 x (+.f64 (.f64 (pow.f64 B 3) 1/45) (.f64 B 1/3)))) (/.f64 (+.f64 x 1) B))
(fma.f64 x (+.f64 (.f64 B 1/3) (.f64 (pow.f64 B 3) 1/45)) (fma.f64 (*.f64 x 2/945) (pow.f64 B 5) (/.f64 (-.f64 -1 x) B)))
(fma.f64 x (+.f64 (.f64 B 1/3) (.f64 (pow.f64 B 3) 1/45)) (fma.f64 x (*.f64 (pow.f64 B 5) 2/945) (/.f64 (-.f64 -1 x) B)))
(.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B)))
(neg.f64 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(/.f64 (neg.f64 (*.f64 (cos.f64 B) x)) (sin.f64 B))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (neg.f64 x))
(*.f64 x (/.f64 (neg.f64 (cos.f64 B)) (sin.f64 B)))
(*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B)))
(-.f64 (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))) (/.f64 1 B))
(-.f64 (neg.f64 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) (/.f64 1 B))
(fma.f64 -1 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)) (/.f64 -1 B))
(-.f64 (/.f64 -1 B) (/.f64 x (/.f64 (sin.f64 B) (cos.f64 B))))
(-.f64 (/.f64 -1 B) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B))))
(-.f64 (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))) (/.f64 1 B))
(-.f64 (neg.f64 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) (/.f64 1 B))
(fma.f64 -1 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)) (/.f64 -1 B))
(-.f64 (/.f64 -1 B) (/.f64 x (/.f64 (sin.f64 B) (cos.f64 B))))
(-.f64 (/.f64 -1 B) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B))))
(-.f64 (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))) (/.f64 1 B))
(-.f64 (neg.f64 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) (/.f64 1 B))
(fma.f64 -1 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)) (/.f64 -1 B))
(-.f64 (/.f64 -1 B) (/.f64 x (/.f64 (sin.f64 B) (cos.f64 B))))
(-.f64 (/.f64 -1 B) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B))))
(.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B)))
(neg.f64 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(/.f64 (neg.f64 (*.f64 (cos.f64 B) x)) (sin.f64 B))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (neg.f64 x))
(*.f64 x (/.f64 (neg.f64 (cos.f64 B)) (sin.f64 B)))
(*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B)))
(-.f64 (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))) (/.f64 1 B))
(-.f64 (neg.f64 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) (/.f64 1 B))
(fma.f64 -1 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)) (/.f64 -1 B))
(-.f64 (/.f64 -1 B) (/.f64 x (/.f64 (sin.f64 B) (cos.f64 B))))
(-.f64 (/.f64 -1 B) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B))))
(-.f64 (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))) (/.f64 1 B))
(-.f64 (neg.f64 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) (/.f64 1 B))
(fma.f64 -1 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)) (/.f64 -1 B))
(-.f64 (/.f64 -1 B) (/.f64 x (/.f64 (sin.f64 B) (cos.f64 B))))
(-.f64 (/.f64 -1 B) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B))))
(-.f64 (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))) (/.f64 1 B))
(-.f64 (neg.f64 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) (/.f64 1 B))
(fma.f64 -1 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)) (/.f64 -1 B))
(-.f64 (/.f64 -1 B) (/.f64 x (/.f64 (sin.f64 B) (cos.f64 B))))
(-.f64 (/.f64 -1 B) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B))))
(.f64 -1 (+.f64 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B)) (/.f64 1 B)))
(-.f64 (neg.f64 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) (/.f64 1 B))
(fma.f64 -1 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)) (/.f64 -1 B))
(-.f64 (/.f64 -1 B) (/.f64 x (/.f64 (sin.f64 B) (cos.f64 B))))
(-.f64 (/.f64 -1 B) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B))))
(.f64 -1 (+.f64 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B)) (/.f64 1 B)))
(-.f64 (neg.f64 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) (/.f64 1 B))
(fma.f64 -1 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)) (/.f64 -1 B))
(-.f64 (/.f64 -1 B) (/.f64 x (/.f64 (sin.f64 B) (cos.f64 B))))
(-.f64 (/.f64 -1 B) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B))))
(.f64 -1 (+.f64 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B)) (/.f64 1 B)))
(-.f64 (neg.f64 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) (/.f64 1 B))
(fma.f64 -1 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)) (/.f64 -1 B))
(-.f64 (/.f64 -1 B) (/.f64 x (/.f64 (sin.f64 B) (cos.f64 B))))
(-.f64 (/.f64 -1 B) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B))))
(.f64 -1 (+.f64 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B)) (/.f64 1 B)))
(-.f64 (neg.f64 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) (/.f64 1 B))
(fma.f64 -1 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)) (/.f64 -1 B))
(-.f64 (/.f64 -1 B) (/.f64 x (/.f64 (sin.f64 B) (cos.f64 B))))
(-.f64 (/.f64 -1 B) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B))))
(.f64 -1 (+.f64 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B)) (/.f64 1 B)))
(-.f64 (neg.f64 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) (/.f64 1 B))
(fma.f64 -1 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)) (/.f64 -1 B))
(-.f64 (/.f64 -1 B) (/.f64 x (/.f64 (sin.f64 B) (cos.f64 B))))
(-.f64 (/.f64 -1 B) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B))))
(.f64 -1 (+.f64 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B)) (/.f64 1 B)))
(-.f64 (neg.f64 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) (/.f64 1 B))
(fma.f64 -1 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)) (/.f64 -1 B))
(-.f64 (/.f64 -1 B) (/.f64 x (/.f64 (sin.f64 B) (cos.f64 B))))
(-.f64 (/.f64 -1 B) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B))))
(.f64 -1 (+.f64 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B)) (/.f64 1 B)))
(-.f64 (neg.f64 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) (/.f64 1 B))
(fma.f64 -1 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)) (/.f64 -1 B))
(-.f64 (/.f64 -1 B) (/.f64 x (/.f64 (sin.f64 B) (cos.f64 B))))
(-.f64 (/.f64 -1 B) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B))))
(.f64 -1 (+.f64 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B)) (/.f64 1 B)))
(-.f64 (neg.f64 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) (/.f64 1 B))
(fma.f64 -1 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)) (/.f64 -1 B))
(-.f64 (/.f64 -1 B) (/.f64 x (/.f64 (sin.f64 B) (cos.f64 B))))
(-.f64 (/.f64 -1 B) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B))))
(.f64 -1 (+.f64 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B)) (/.f64 1 B)))
(-.f64 (neg.f64 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) (/.f64 1 B))
(fma.f64 -1 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)) (/.f64 -1 B))
(-.f64 (/.f64 -1 B) (/.f64 x (/.f64 (sin.f64 B) (cos.f64 B))))
(-.f64 (/.f64 -1 B) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B))))
(.f64 -1 (+.f64 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B)) (/.f64 1 B)))
(-.f64 (neg.f64 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) (/.f64 1 B))
(fma.f64 -1 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)) (/.f64 -1 B))
(-.f64 (/.f64 -1 B) (/.f64 x (/.f64 (sin.f64 B) (cos.f64 B))))
(-.f64 (/.f64 -1 B) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B))))
(.f64 -1 (+.f64 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B)) (/.f64 1 B)))
(-.f64 (neg.f64 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) (/.f64 1 B))
(fma.f64 -1 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)) (/.f64 -1 B))
(-.f64 (/.f64 -1 B) (/.f64 x (/.f64 (sin.f64 B) (cos.f64 B))))
(-.f64 (/.f64 -1 B) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B))))
(.f64 -1 (+.f64 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B)) (/.f64 1 B)))
(-.f64 (neg.f64 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) (/.f64 1 B))
(fma.f64 -1 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)) (/.f64 -1 B))
(-.f64 (/.f64 -1 B) (/.f64 x (/.f64 (sin.f64 B) (cos.f64 B))))
(-.f64 (/.f64 -1 B) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B))))

localize15.0ms (0%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.4b	(/.f64 1 (fma.f64 F F 2))
✓	7.8b	(*.f64 (sqrt.f64 (/.f64 1 (fma.f64 F F 2))) (/.f64 F B))
✓	15.4b	(sqrt.f64 (/.f64 1 (fma.f64 F F 2)))

Compiler

Compiled 38 to 23 computations (39.5% saved)

series7.0ms (0%)

Counts

3 → 48

Calls

12 calls:

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

rewrite87.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

463×	`log-prod_binary64`
388×	`prod-exp_binary64`
354×	`exp-prod_binary64`
300×	`pow-prod-down_binary64`
247×	`pow2_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	34
1	207	29
2	2544	29

Stop Event

1×	node limit

Counts

3 → 167

Calls

Call 1

Inputs
(sqrt.f64 (/.f64 1 (fma.f64 F F 2)))
(*.f64 (sqrt.f64 (/.f64 1 (fma.f64 F F 2))) (/.f64 F B))
(/.f64 1 (fma.f64 F F 2))

Outputs

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

simplify53.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

795×	`associate-*l/_binary64`
528×	`associate-/l/_binary64`
454×	`associate-/r/_binary64`
278×	`fma-def_binary64`
239×	`associate-/r*_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	125	1078
1	347	1034
2	1058	986
3	4011	927

Stop Event

1×	node limit

Counts

215 → 227

Calls

Call 1

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

Outputs
(sqrt.f64 1/2)
(+.f64 (sqrt.f64 1/2) (*.f64 -1/8 (/.f64 (pow.f64 F 2) (sqrt.f64 1/2))))
(+.f64 (sqrt.f64 1/2) (/.f64 (.f64 -1/8 (.f64 F F)) (sqrt.f64 1/2)))
(fma.f64 -1/8 (/.f64 (*.f64 F F) (sqrt.f64 1/2)) (sqrt.f64 1/2))
(+.f64 (sqrt.f64 1/2) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 F 2) (sqrt.f64 1/2))) (.f64 1/2 (/.f64 (*.f64 (pow.f64 F 4) (-.f64 1/8 (pow.f64 (/.f64 -1/8 (sqrt.f64 1/2)) 2))) (sqrt.f64 1/2)))))
(+.f64 (sqrt.f64 1/2) (fma.f64 -1/8 (/.f64 (.f64 F F) (sqrt.f64 1/2)) (.f64 1/2 (/.f64 (pow.f64 F 4) (/.f64 (sqrt.f64 1/2) (-.f64 1/8 (pow.f64 (/.f64 -1/8 (sqrt.f64 1/2)) 2)))))))
(+.f64 (sqrt.f64 1/2) (fma.f64 1/2 (.f64 (/.f64 (pow.f64 F 4) (sqrt.f64 1/2)) (-.f64 1/8 (pow.f64 (/.f64 -1/8 (sqrt.f64 1/2)) 2))) (.f64 -1/8 (/.f64 (*.f64 F F) (sqrt.f64 1/2)))))
(fma.f64 1/2 (.f64 (-.f64 1/8 (pow.f64 (/.f64 -1/8 (sqrt.f64 1/2)) 2)) (/.f64 (pow.f64 F 4) (sqrt.f64 1/2))) (fma.f64 -1/8 (/.f64 (.f64 F F) (sqrt.f64 1/2)) (sqrt.f64 1/2)))
(+.f64 (fma.f64 -1/8 (/.f64 (.f64 F F) (sqrt.f64 1/2)) (sqrt.f64 1/2)) (.f64 (/.f64 (pow.f64 F 4) (sqrt.f64 1/2)) 3/64))
(+.f64 (sqrt.f64 1/2) (+.f64 (.f64 -1/2 (/.f64 (.f64 (+.f64 1/16 (.f64 -1/8 (/.f64 (-.f64 1/8 (pow.f64 (/.f64 -1/8 (sqrt.f64 1/2)) 2)) (pow.f64 (sqrt.f64 1/2) 2)))) (pow.f64 F 6)) (sqrt.f64 1/2))) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 F 2) (sqrt.f64 1/2))) (.f64 1/2 (/.f64 (.f64 (pow.f64 F 4) (-.f64 1/8 (pow.f64 (/.f64 -1/8 (sqrt.f64 1/2)) 2))) (sqrt.f64 1/2))))))
(+.f64 (sqrt.f64 1/2) (fma.f64 -1/2 (/.f64 (+.f64 1/16 (.f64 -1/8 (/.f64 (-.f64 1/8 (pow.f64 (/.f64 -1/8 (sqrt.f64 1/2)) 2)) (pow.f64 (sqrt.f64 1/2) 2)))) (/.f64 (sqrt.f64 1/2) (pow.f64 F 6))) (fma.f64 -1/8 (/.f64 (.f64 F F) (sqrt.f64 1/2)) (*.f64 1/2 (/.f64 (pow.f64 F 4) (/.f64 (sqrt.f64 1/2) (-.f64 1/8 (pow.f64 (/.f64 -1/8 (sqrt.f64 1/2)) 2))))))))
(+.f64 (sqrt.f64 1/2) (fma.f64 -1/2 (/.f64 (fma.f64 -1/8 (-.f64 1/4 (/.f64 (pow.f64 (/.f64 -1/8 (sqrt.f64 1/2)) 2) 1/2)) 1/16) (/.f64 (sqrt.f64 1/2) (pow.f64 F 6))) (fma.f64 1/2 (.f64 (/.f64 (pow.f64 F 4) (sqrt.f64 1/2)) (-.f64 1/8 (pow.f64 (/.f64 -1/8 (sqrt.f64 1/2)) 2))) (.f64 -1/8 (/.f64 (*.f64 F F) (sqrt.f64 1/2))))))
(+.f64 (sqrt.f64 1/2) (fma.f64 1/2 (.f64 (-.f64 1/8 (pow.f64 (/.f64 -1/8 (sqrt.f64 1/2)) 2)) (/.f64 (pow.f64 F 4) (sqrt.f64 1/2))) (fma.f64 -1/8 (/.f64 (.f64 F F) (sqrt.f64 1/2)) (*.f64 (/.f64 -5/256 (sqrt.f64 1/2)) (pow.f64 F 6)))))
(+.f64 (.f64 (/.f64 (pow.f64 F 4) (sqrt.f64 1/2)) 3/64) (+.f64 (fma.f64 -1/8 (/.f64 (.f64 F F) (sqrt.f64 1/2)) (sqrt.f64 1/2)) (*.f64 (/.f64 -5/256 (sqrt.f64 1/2)) (pow.f64 F 6))))
(/.f64 1 F)
(-.f64 (/.f64 1 F) (/.f64 1 (pow.f64 F 3)))
(+.f64 (/.f64 1 F) (/.f64 -1 (pow.f64 F 3)))
(-.f64 (+.f64 (*.f64 3/2 (/.f64 1 (pow.f64 F 5))) (/.f64 1 F)) (/.f64 1 (pow.f64 F 3)))
(+.f64 (/.f64 3/2 (pow.f64 F 5)) (-.f64 (/.f64 1 F) (/.f64 1 (pow.f64 F 3))))
(+.f64 (-.f64 (/.f64 1 F) (/.f64 1 (pow.f64 F 3))) (/.f64 3/2 (pow.f64 F 5)))
(+.f64 (/.f64 1 F) (+.f64 (/.f64 3/2 (pow.f64 F 5)) (/.f64 -1 (pow.f64 F 3))))
(-.f64 (+.f64 (.f64 3/2 (/.f64 1 (pow.f64 F 5))) (/.f64 1 F)) (+.f64 (/.f64 1 (pow.f64 F 3)) (.f64 5/2 (/.f64 1 (pow.f64 F 7)))))
(+.f64 (/.f64 3/2 (pow.f64 F 5)) (-.f64 (/.f64 1 F) (+.f64 (/.f64 1 (pow.f64 F 3)) (/.f64 5/2 (pow.f64 F 7)))))
(+.f64 (/.f64 3/2 (pow.f64 F 5)) (-.f64 (-.f64 (/.f64 1 F) (/.f64 1 (pow.f64 F 3))) (/.f64 5/2 (pow.f64 F 7))))
(+.f64 (/.f64 1 F) (+.f64 (/.f64 3/2 (pow.f64 F 5)) (+.f64 (/.f64 -1 (pow.f64 F 3)) (/.f64 -5/2 (pow.f64 F 7)))))
(/.f64 -1 F)
(-.f64 (/.f64 1 (pow.f64 F 3)) (/.f64 1 F))
(+.f64 (/.f64 1 (pow.f64 F 3)) (/.f64 -1 F))
(-.f64 (/.f64 1 (pow.f64 F 3)) (+.f64 (*.f64 3/2 (/.f64 1 (pow.f64 F 5))) (/.f64 1 F)))
(-.f64 (/.f64 1 (pow.f64 F 3)) (+.f64 (/.f64 1 F) (/.f64 3/2 (pow.f64 F 5))))
(+.f64 (-.f64 (/.f64 1 (pow.f64 F 3)) (/.f64 3/2 (pow.f64 F 5))) (/.f64 -1 F))
(+.f64 (/.f64 1 (pow.f64 F 3)) (+.f64 (/.f64 -1 F) (/.f64 -3/2 (pow.f64 F 5))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 F 3)) (.f64 5/2 (/.f64 1 (pow.f64 F 7)))) (+.f64 (.f64 3/2 (/.f64 1 (pow.f64 F 5))) (/.f64 1 F)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 F 3)) (/.f64 5/2 (pow.f64 F 7))) (+.f64 (/.f64 1 F) (/.f64 3/2 (pow.f64 F 5))))
(+.f64 (/.f64 5/2 (pow.f64 F 7)) (+.f64 (-.f64 (/.f64 1 (pow.f64 F 3)) (/.f64 3/2 (pow.f64 F 5))) (/.f64 -1 F)))
(+.f64 (/.f64 1 (pow.f64 F 3)) (+.f64 (/.f64 5/2 (pow.f64 F 7)) (+.f64 (/.f64 -1 F) (/.f64 -3/2 (pow.f64 F 5)))))
(/.f64 (*.f64 (sqrt.f64 1/2) F) B)
(*.f64 (/.f64 (sqrt.f64 1/2) B) F)
(*.f64 (/.f64 F B) (sqrt.f64 1/2))
(+.f64 (/.f64 (.f64 (sqrt.f64 1/2) F) B) (.f64 -1/8 (/.f64 (pow.f64 F 3) (*.f64 (sqrt.f64 1/2) B))))
(+.f64 (/.f64 (.f64 (sqrt.f64 1/2) F) B) (/.f64 (.f64 -1/8 (pow.f64 F 3)) (*.f64 (sqrt.f64 1/2) B)))
(fma.f64 -1/8 (/.f64 (pow.f64 F 3) (.f64 (sqrt.f64 1/2) B)) (.f64 (/.f64 (sqrt.f64 1/2) B) F))
(fma.f64 -1/8 (/.f64 (pow.f64 F 3) (.f64 (sqrt.f64 1/2) B)) (.f64 (/.f64 F B) (sqrt.f64 1/2)))
(.f64 (/.f64 F B) (fma.f64 -1/8 (/.f64 (.f64 F F) (sqrt.f64 1/2)) (sqrt.f64 1/2)))
(+.f64 (/.f64 (.f64 (sqrt.f64 1/2) F) B) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 F 3) (.f64 (sqrt.f64 1/2) B))) (.f64 1/2 (/.f64 (.f64 (pow.f64 F 5) (-.f64 1/8 (pow.f64 (/.f64 -1/8 (sqrt.f64 1/2)) 2))) (.f64 (sqrt.f64 1/2) B)))))
(+.f64 (/.f64 (.f64 (sqrt.f64 1/2) F) B) (fma.f64 -1/8 (/.f64 (pow.f64 F 3) (.f64 (sqrt.f64 1/2) B)) (.f64 1/2 (.f64 (/.f64 (pow.f64 F 5) (sqrt.f64 1/2)) (/.f64 (-.f64 1/8 (pow.f64 (/.f64 -1/8 (sqrt.f64 1/2)) 2)) B)))))
(+.f64 (.f64 (/.f64 (sqrt.f64 1/2) B) F) (fma.f64 1/2 (.f64 (/.f64 (pow.f64 F 5) (sqrt.f64 1/2)) (/.f64 (-.f64 1/8 (pow.f64 (/.f64 -1/8 (sqrt.f64 1/2)) 2)) B)) (.f64 -1/8 (/.f64 (pow.f64 F 3) (.f64 (sqrt.f64 1/2) B)))))
(fma.f64 (/.f64 (pow.f64 F 5) (sqrt.f64 1/2)) (.f64 1/2 (/.f64 (-.f64 1/8 (pow.f64 (/.f64 -1/8 (sqrt.f64 1/2)) 2)) B)) (fma.f64 -1/8 (/.f64 (pow.f64 F 3) (.f64 (sqrt.f64 1/2) B)) (*.f64 (/.f64 F B) (sqrt.f64 1/2))))
(fma.f64 (/.f64 (pow.f64 F 5) (sqrt.f64 1/2)) (/.f64 3/64 B) (.f64 (/.f64 F B) (fma.f64 -1/8 (/.f64 (.f64 F F) (sqrt.f64 1/2)) (sqrt.f64 1/2))))
(+.f64 (/.f64 (.f64 (sqrt.f64 1/2) F) B) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 F 3) (.f64 (sqrt.f64 1/2) B))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (+.f64 1/16 (.f64 -1/8 (/.f64 (-.f64 1/8 (pow.f64 (/.f64 -1/8 (sqrt.f64 1/2)) 2)) (pow.f64 (sqrt.f64 1/2) 2)))) (pow.f64 F 7)) (.f64 (sqrt.f64 1/2) B))) (.f64 1/2 (/.f64 (.f64 (pow.f64 F 5) (-.f64 1/8 (pow.f64 (/.f64 -1/8 (sqrt.f64 1/2)) 2))) (.f64 (sqrt.f64 1/2) B))))))
(+.f64 (/.f64 (.f64 (sqrt.f64 1/2) F) B) (fma.f64 -1/8 (/.f64 (pow.f64 F 3) (.f64 (sqrt.f64 1/2) B)) (fma.f64 -1/2 (.f64 (/.f64 (+.f64 1/16 (.f64 -1/8 (/.f64 (-.f64 1/8 (pow.f64 (/.f64 -1/8 (sqrt.f64 1/2)) 2)) (pow.f64 (sqrt.f64 1/2) 2)))) (sqrt.f64 1/2)) (/.f64 (pow.f64 F 7) B)) (.f64 1/2 (.f64 (/.f64 (pow.f64 F 5) (sqrt.f64 1/2)) (/.f64 (-.f64 1/8 (pow.f64 (/.f64 -1/8 (sqrt.f64 1/2)) 2)) B))))))
(+.f64 (.f64 (/.f64 (sqrt.f64 1/2) B) F) (fma.f64 -1/8 (/.f64 (pow.f64 F 3) (.f64 (sqrt.f64 1/2) B)) (fma.f64 1/2 (.f64 (/.f64 (pow.f64 F 5) (sqrt.f64 1/2)) (/.f64 (-.f64 1/8 (pow.f64 (/.f64 -1/8 (sqrt.f64 1/2)) 2)) B)) (.f64 -1/2 (*.f64 (/.f64 (pow.f64 F 7) (sqrt.f64 1/2)) (/.f64 (fma.f64 -1/8 (-.f64 1/4 (/.f64 (pow.f64 (/.f64 -1/8 (sqrt.f64 1/2)) 2) 1/2)) 1/16) B))))))
(fma.f64 (/.f64 (sqrt.f64 1/2) B) F (fma.f64 (.f64 1/2 (/.f64 (pow.f64 F 5) (sqrt.f64 1/2))) (/.f64 (-.f64 1/8 (pow.f64 (/.f64 -1/8 (sqrt.f64 1/2)) 2)) B) (fma.f64 -1/8 (/.f64 (pow.f64 F 3) (.f64 (sqrt.f64 1/2) B)) (*.f64 (/.f64 (pow.f64 F 7) B) (/.f64 -5/256 (sqrt.f64 1/2))))))
(+.f64 (.f64 (/.f64 F B) (fma.f64 -1/8 (/.f64 (.f64 F F) (sqrt.f64 1/2)) (sqrt.f64 1/2))) (fma.f64 (/.f64 (pow.f64 F 5) (sqrt.f64 1/2)) (/.f64 3/64 B) (*.f64 (/.f64 (pow.f64 F 7) B) (/.f64 -5/256 (sqrt.f64 1/2)))))
(/.f64 1 B)
(-.f64 (/.f64 1 B) (/.f64 1 (*.f64 (pow.f64 F 2) B)))
(-.f64 (/.f64 1 B) (/.f64 1 (.f64 (.f64 F F) B)))
(+.f64 (/.f64 1 B) (/.f64 -1 (.f64 F (.f64 F B))))
(-.f64 (+.f64 (.f64 3/2 (/.f64 1 (.f64 (pow.f64 F 4) B))) (/.f64 1 B)) (/.f64 1 (*.f64 (pow.f64 F 2) B)))
(+.f64 (/.f64 3/2 (.f64 (pow.f64 F 4) B)) (-.f64 (/.f64 1 B) (/.f64 1 (.f64 (*.f64 F F) B))))
(+.f64 (/.f64 1 B) (-.f64 (/.f64 3/2 (.f64 (pow.f64 F 4) B)) (/.f64 1 (.f64 F (*.f64 F B)))))
(+.f64 (/.f64 1 B) (+.f64 (/.f64 3/2 (.f64 (pow.f64 F 4) B)) (/.f64 -1 (.f64 F (*.f64 F B)))))
(+.f64 (+.f64 (/.f64 1 B) (/.f64 -1 (.f64 F (.f64 F B)))) (/.f64 3/2 (*.f64 (pow.f64 F 4) B)))
(-.f64 (+.f64 (.f64 3/2 (/.f64 1 (.f64 (pow.f64 F 4) B))) (/.f64 1 B)) (+.f64 (/.f64 1 (.f64 (pow.f64 F 2) B)) (.f64 5/2 (/.f64 1 (*.f64 (pow.f64 F 6) B)))))
(-.f64 (+.f64 (/.f64 1 B) (/.f64 3/2 (.f64 (pow.f64 F 4) B))) (+.f64 (/.f64 1 (.f64 (.f64 F F) B)) (/.f64 5/2 (.f64 (pow.f64 F 6) B))))
(+.f64 (/.f64 3/2 (.f64 (pow.f64 F 4) B)) (-.f64 (+.f64 (/.f64 1 B) (/.f64 -1 (.f64 F (*.f64 F B)))) (/.f64 (/.f64 5/2 (pow.f64 F 6)) B)))
(+.f64 (/.f64 1 B) (-.f64 (/.f64 3/2 (.f64 (pow.f64 F 4) B)) (+.f64 (/.f64 1 (.f64 F (*.f64 F B))) (/.f64 (/.f64 5/2 B) (pow.f64 F 6)))))
(+.f64 (/.f64 1 B) (+.f64 (/.f64 3/2 (.f64 (pow.f64 F 4) B)) (+.f64 (/.f64 -1 (.f64 F (*.f64 F B))) (/.f64 (/.f64 -5/2 B) (pow.f64 F 6)))))
(/.f64 -1 B)
(-.f64 (/.f64 1 (*.f64 (pow.f64 F 2) B)) (/.f64 1 B))
(-.f64 (/.f64 1 (.f64 (.f64 F F) B)) (/.f64 1 B))
(+.f64 (/.f64 1 (.f64 F (.f64 F B))) (/.f64 -1 B))
(+.f64 (/.f64 (/.f64 1 F) (*.f64 F B)) (/.f64 -1 B))
(-.f64 (/.f64 1 (.f64 (pow.f64 F 2) B)) (+.f64 (.f64 3/2 (/.f64 1 (*.f64 (pow.f64 F 4) B))) (/.f64 1 B)))
(-.f64 (/.f64 1 (.f64 (.f64 F F) B)) (+.f64 (/.f64 1 B) (/.f64 3/2 (*.f64 (pow.f64 F 4) B))))
(+.f64 (-.f64 (/.f64 1 (.f64 F (.f64 F B))) (/.f64 3/2 (*.f64 (pow.f64 F 4) B))) (/.f64 -1 B))
(+.f64 (/.f64 1 (.f64 F (.f64 F B))) (+.f64 (/.f64 -1 B) (/.f64 -3/2 (*.f64 (pow.f64 F 4) B))))
(+.f64 (/.f64 (/.f64 1 F) (.f64 F B)) (+.f64 (/.f64 -1 B) (/.f64 -3/2 (.f64 (pow.f64 F 4) B))))
(-.f64 (+.f64 (/.f64 1 (.f64 (pow.f64 F 2) B)) (.f64 5/2 (/.f64 1 (.f64 (pow.f64 F 6) B)))) (+.f64 (.f64 3/2 (/.f64 1 (*.f64 (pow.f64 F 4) B))) (/.f64 1 B)))
(+.f64 (/.f64 1 (.f64 (.f64 F F) B)) (-.f64 (/.f64 5/2 (.f64 (pow.f64 F 6) B)) (+.f64 (/.f64 1 B) (/.f64 3/2 (.f64 (pow.f64 F 4) B)))))
(+.f64 (/.f64 1 (.f64 F (.f64 F B))) (-.f64 (/.f64 (/.f64 5/2 (pow.f64 F 6)) B) (+.f64 (/.f64 1 B) (/.f64 3/2 (*.f64 (pow.f64 F 4) B)))))
(+.f64 (/.f64 (/.f64 5/2 B) (pow.f64 F 6)) (+.f64 (/.f64 1 (.f64 F (.f64 F B))) (+.f64 (/.f64 -1 B) (/.f64 -3/2 (*.f64 (pow.f64 F 4) B)))))
(+.f64 (-.f64 (/.f64 (/.f64 1 F) (.f64 F B)) (/.f64 (/.f64 -5/2 B) (pow.f64 F 6))) (+.f64 (/.f64 -1 B) (/.f64 -3/2 (.f64 (pow.f64 F 4) B))))
(*.f64 (/.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) 2))))
(.f64 (/.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 2 (.f64 F F)))))
(*.f64 (/.f64 F B) (sqrt.f64 (/.f64 1 (fma.f64 F F 2))))
(*.f64 (/.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) 2))))
(.f64 (/.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 2 (.f64 F F)))))
(*.f64 (/.f64 F B) (sqrt.f64 (/.f64 1 (fma.f64 F F 2))))
(*.f64 (/.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) 2))))
(.f64 (/.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 2 (.f64 F F)))))
(*.f64 (/.f64 F B) (sqrt.f64 (/.f64 1 (fma.f64 F F 2))))
(*.f64 (/.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) 2))))
(.f64 (/.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 2 (.f64 F F)))))
(*.f64 (/.f64 F B) (sqrt.f64 (/.f64 1 (fma.f64 F F 2))))
(*.f64 (/.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) 2))))
(.f64 (/.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 2 (.f64 F F)))))
(*.f64 (/.f64 F B) (sqrt.f64 (/.f64 1 (fma.f64 F F 2))))
(*.f64 (/.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) 2))))
(.f64 (/.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 2 (.f64 F F)))))
(*.f64 (/.f64 F B) (sqrt.f64 (/.f64 1 (fma.f64 F F 2))))
(*.f64 (/.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) 2))))
(.f64 (/.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 2 (.f64 F F)))))
(*.f64 (/.f64 F B) (sqrt.f64 (/.f64 1 (fma.f64 F F 2))))
(*.f64 (/.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) 2))))
(.f64 (/.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 2 (.f64 F F)))))
(*.f64 (/.f64 F B) (sqrt.f64 (/.f64 1 (fma.f64 F F 2))))
(*.f64 (/.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) 2))))
(.f64 (/.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 2 (.f64 F F)))))
(*.f64 (/.f64 F B) (sqrt.f64 (/.f64 1 (fma.f64 F F 2))))
(*.f64 (/.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) 2))))
(.f64 (/.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 2 (.f64 F F)))))
(*.f64 (/.f64 F B) (sqrt.f64 (/.f64 1 (fma.f64 F F 2))))
(*.f64 (/.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) 2))))
(.f64 (/.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 2 (.f64 F F)))))
(*.f64 (/.f64 F B) (sqrt.f64 (/.f64 1 (fma.f64 F F 2))))
(*.f64 (/.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) 2))))
(.f64 (/.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 2 (.f64 F F)))))
(*.f64 (/.f64 F B) (sqrt.f64 (/.f64 1 (fma.f64 F F 2))))
1/2
(+.f64 (*.f64 -1/4 (pow.f64 F 2)) 1/2)
(fma.f64 -1/4 (*.f64 F F) 1/2)
(fma.f64 (*.f64 F F) -1/4 1/2)
(fma.f64 F (*.f64 F -1/4) 1/2)
(+.f64 (.f64 -1/4 (pow.f64 F 2)) (+.f64 (.f64 1/8 (pow.f64 F 4)) 1/2))
(fma.f64 -1/4 (*.f64 F F) (fma.f64 1/8 (pow.f64 F 4) 1/2))
(fma.f64 (*.f64 F F) -1/4 (fma.f64 (pow.f64 F 4) 1/8 1/2))
(fma.f64 F (*.f64 F -1/4) (fma.f64 (pow.f64 F 4) 1/8 1/2))
(+.f64 (.f64 -1/4 (pow.f64 F 2)) (+.f64 (.f64 1/8 (pow.f64 F 4)) (+.f64 1/2 (*.f64 -1/16 (pow.f64 F 6)))))
(fma.f64 -1/4 (.f64 F F) (+.f64 (fma.f64 1/8 (pow.f64 F 4) 1/2) (.f64 (pow.f64 F 6) -1/16)))
(fma.f64 (*.f64 F F) -1/4 (fma.f64 (pow.f64 F 4) 1/8 (fma.f64 (pow.f64 F 6) -1/16 1/2)))
(fma.f64 F (*.f64 F -1/4) (fma.f64 (pow.f64 F 4) 1/8 (fma.f64 (pow.f64 F 6) -1/16 1/2)))
(fma.f64 F (*.f64 F -1/4) (fma.f64 (pow.f64 F 6) -1/16 (fma.f64 (pow.f64 F 4) 1/8 1/2)))
(/.f64 1 (pow.f64 F 2))
(/.f64 1 (*.f64 F F))
(-.f64 (/.f64 1 (pow.f64 F 2)) (*.f64 2 (/.f64 1 (pow.f64 F 4))))
(-.f64 (/.f64 1 (*.f64 F F)) (/.f64 2 (pow.f64 F 4)))
(+.f64 (/.f64 1 (*.f64 F F)) (/.f64 -2 (pow.f64 F 4)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 F 2)) (.f64 4 (/.f64 1 (pow.f64 F 6)))) (.f64 2 (/.f64 1 (pow.f64 F 4))))
(+.f64 (/.f64 1 (*.f64 F F)) (-.f64 (/.f64 4 (pow.f64 F 6)) (/.f64 2 (pow.f64 F 4))))
(+.f64 (/.f64 4 (pow.f64 F 6)) (+.f64 (/.f64 1 (*.f64 F F)) (/.f64 -2 (pow.f64 F 4))))
(+.f64 (/.f64 1 (*.f64 F F)) (+.f64 (/.f64 4 (pow.f64 F 6)) (/.f64 -2 (pow.f64 F 4))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 F 2)) (.f64 4 (/.f64 1 (pow.f64 F 6)))) (+.f64 (.f64 2 (/.f64 1 (pow.f64 F 4))) (*.f64 8 (/.f64 1 (pow.f64 F 8)))))
(+.f64 (/.f64 1 (*.f64 F F)) (-.f64 (/.f64 4 (pow.f64 F 6)) (+.f64 (/.f64 2 (pow.f64 F 4)) (/.f64 8 (pow.f64 F 8)))))
(+.f64 (/.f64 1 (*.f64 F F)) (+.f64 (+.f64 (/.f64 4 (pow.f64 F 6)) (/.f64 -2 (pow.f64 F 4))) (/.f64 -8 (pow.f64 F 8))))
(+.f64 (+.f64 (/.f64 1 (*.f64 F F)) (/.f64 4 (pow.f64 F 6))) (+.f64 (/.f64 -2 (pow.f64 F 4)) (/.f64 -8 (pow.f64 F 8))))
(/.f64 1 (pow.f64 F 2))
(/.f64 1 (*.f64 F F))
(-.f64 (/.f64 1 (pow.f64 F 2)) (*.f64 2 (/.f64 1 (pow.f64 F 4))))
(-.f64 (/.f64 1 (*.f64 F F)) (/.f64 2 (pow.f64 F 4)))
(+.f64 (/.f64 1 (*.f64 F F)) (/.f64 -2 (pow.f64 F 4)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 F 2)) (.f64 4 (/.f64 1 (pow.f64 F 6)))) (.f64 2 (/.f64 1 (pow.f64 F 4))))
(+.f64 (/.f64 1 (*.f64 F F)) (-.f64 (/.f64 4 (pow.f64 F 6)) (/.f64 2 (pow.f64 F 4))))
(+.f64 (/.f64 4 (pow.f64 F 6)) (+.f64 (/.f64 1 (*.f64 F F)) (/.f64 -2 (pow.f64 F 4))))
(+.f64 (/.f64 1 (*.f64 F F)) (+.f64 (/.f64 4 (pow.f64 F 6)) (/.f64 -2 (pow.f64 F 4))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 F 2)) (.f64 4 (/.f64 1 (pow.f64 F 6)))) (+.f64 (.f64 2 (/.f64 1 (pow.f64 F 4))) (*.f64 8 (/.f64 1 (pow.f64 F 8)))))
(+.f64 (/.f64 1 (*.f64 F F)) (-.f64 (/.f64 4 (pow.f64 F 6)) (+.f64 (/.f64 2 (pow.f64 F 4)) (/.f64 8 (pow.f64 F 8)))))
(+.f64 (/.f64 1 (*.f64 F F)) (+.f64 (+.f64 (/.f64 4 (pow.f64 F 6)) (/.f64 -2 (pow.f64 F 4))) (/.f64 -8 (pow.f64 F 8))))
(+.f64 (+.f64 (/.f64 1 (*.f64 F F)) (/.f64 4 (pow.f64 F 6))) (+.f64 (/.f64 -2 (pow.f64 F 4)) (/.f64 -8 (pow.f64 F 8))))

eval313.0ms (0.6%)

Compiler: Compiled 18023 to 9457 computations (47.5% saved)

prune172.0ms (0.3%)

Pruning

55 alts after pruning (51 fresh and 4 done)

	Pruned	Kept	Total
New	855	26	881
Fresh	16	25	41
Picked	1	0	1
Done	3	4	7
Total	875	55	930

Error

0.0b

Counts

930 → 55

Alt Table

Click to see full alt table

Status	Error	Program
	33.0b	(/.f64 (*.f64 x (neg.f64 (cos.f64 B))) (sin.f64 B))
	58.5b	(*.f64 (/.f64 -1 F) (/.f64 F B))
	29.6b	(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (+.f64 0 (/.f64 F (.f64 (sqrt.f64 (+.f64 2 (*.f64 2 x))) (sin.f64 B)))))
	56.7b	(/.f64 1 B)
✓	55.3b	(/.f64 -1 B)
✓	50.8b	(/.f64 -1 (sin.f64 B))
	49.3b	(+.f64 (neg.f64 (/.f64 x B)) (*.f64 B -1/6))
	38.3b	(-.f64 (*.f64 (/.f64 F (sin.f64 B)) (/.f64 1 F)) (/.f64 x (tan.f64 B)))
	50.8b	(-.f64 (+.f64 1 (/.f64 -1 (sin.f64 B))) 1)
	52.0b	(/.f64 (+.f64 (+.f64 1 (/.f64 (-.f64 -1 x) (.f64 F F))) (.f64 -1 x)) B)
	37.4b	(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 (/.f64 -1 F) (/.f64 B F)))
	48.6b	(+.f64 (neg.f64 (/.f64 x B)) (/.f64 (/.f64 -1 F) (/.f64 (sin.f64 B) F)))
	51.4b	(/.f64 (/.f64 F (sqrt.f64 (fma.f64 F F 2))) B)
	56.8b	(/.f64 (+.f64 (.f64 F (sqrt.f64 (/.f64 1/2 x))) (.f64 -1 x)) B)
	48.1b	(fma.f64 B (*.f64 x 1/3) (/.f64 (-.f64 -1 x) B))
	33.4b	(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 (sin.f64 B)))
	48.1b	(+.f64 (.f64 -1 (/.f64 (+.f64 1 x) B)) (.f64 1/3 (*.f64 B x)))
	33.4b	(-.f64 (/.f64 F (*.f64 F (neg.f64 B))) (/.f64 x (tan.f64 B)))
	30.5b	(+.f64 (neg.f64 (/.f64 x B)) (.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (.f64 F F) 2) (*.f64 2 x)) (neg.f64 (/.f64 1 2)))))
	47.8b	(/.f64 (-.f64 -1 x) B)
	54.1b	(/.f64 (fma.f64 (/.f64 (neg.f64 F) (sin.f64 B)) B (.f64 F (neg.f64 x))) (.f64 F B))
	59.1b	(*.f64 (/.f64 1 F) (/.f64 F B))
	32.7b	(-.f64 (/.f64 -1 B) (/.f64 x (tan.f64 B)))
	49.6b	(/.f64 (-.f64 1 x) B)
	55.9b	(+.f64 (/.f64 (/.f64 1 F) (*.f64 F B)) (/.f64 -1 B))
	33.5b	(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 F (/.f64 B (/.f64 -1 F))))
✓	36.0b	(fma.f64 (/.f64 F (sin.f64 B)) (/.f64 -1 F) (/.f64 (neg.f64 x) (tan.f64 B)))
	57.8b	(*.f64 (/.f64 F B) (sqrt.f64 1/2))
	30.2b	(-.f64 (/.f64 -1 (sin.f64 B)) (/.f64 x (tan.f64 B)))
	57.8b	(/.f64 (*.f64 (sqrt.f64 1/2) F) B)
	33.0b	(*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B)))
	53.3b	(/.f64 1 (sin.f64 B))
	56.0b	(-.f64 (/.f64 1 (*.f64 (pow.f64 F 2) B)) (/.f64 1 B))
✓	48.9b	(/.f64 (neg.f64 x) B)
	48.4b	(+.f64 (.f64 (-.f64 (.f64 1/3 x) 1/6) B) (*.f64 -1 (/.f64 (+.f64 1 x) B)))
	38.1b	(+.f64 (neg.f64 (/.f64 x (tan.f64 B))) (*.f64 (/.f64 F B) (/.f64 -1 F)))
	59.0b	(.f64 -1 (/.f64 (+.f64 (.f64 1/6 (*.f64 F B)) (/.f64 F B)) F))
	40.9b	(+.f64 (neg.f64 (/.f64 x B)) (/.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 2 (.f64 2 x)))) F) (sin.f64 B)))
	38.2b	(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (*.f64 (/.f64 F B) (/.f64 -1 F)))
	43.2b	(-.f64 (/.f64 F (cbrt.f64 (pow.f64 (*.f64 F (sin.f64 B)) 3))) (/.f64 x (tan.f64 B)))
	38.2b	(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 (/.f64 (neg.f64 F) B) F))
	47.4b	(+.f64 (neg.f64 (/.f64 (sqrt.f64 x) (/.f64 (tan.f64 B) (sqrt.f64 x)))) (*.f64 (/.f64 F B) (/.f64 -1 F)))
	33.0b	(/.f64 (neg.f64 x) (/.f64 (sin.f64 B) (cos.f64 B)))
	30.1b	(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 (.f64 (sqrt.f64 (+.f64 2 (*.f64 2 x))) (/.f64 (sin.f64 B) F))))
	49.5b	(+.f64 (neg.f64 (/.f64 x B)) (.f64 (.f64 1/6 (*.f64 F B)) (/.f64 -1 F)))
	48.0b	(/.f64 (+.f64 (.f64 F (sqrt.f64 (/.f64 1 (+.f64 (.f64 2 x) 2)))) (*.f64 -1 x)) B)
	32.7b	(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 -1 B))
	49.1b	(+.f64 (neg.f64 (/.f64 x B)) (.f64 (.f64 (/.f64 1 (sin.f64 B)) F) (/.f64 -1 F)))
	50.2b	(+.f64 (.f64 1/2 (/.f64 (fma.f64 2 x 2) (.f64 F (*.f64 F B)))) (/.f64 (-.f64 -1 x) B))
	29.2b	(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (.f64 F (/.f64 (sqrt.f64 1/2) (sin.f64 B))))
	44.0b	(-.f64 (/.f64 F (*.f64 (sin.f64 B) (neg.f64 F))) (/.f64 x B))
	57.2b	(+.f64 (/.f64 1 B) (/.f64 -1 (.f64 F (.f64 F B))))
	53.7b	(+.f64 (neg.f64 (.f64 x (/.f64 1 B))) (.f64 (/.f64 F B) (/.f64 -1 F)))
	55.5b	(-.f64 (*.f64 -1/6 B) (/.f64 1 B))
	49.6b	(/.f64 (+.f64 (.f64 F (/.f64 1 F)) (.f64 -1 x)) B)

Compiler

Compiled 792 to 580 computations (26.8% saved)

regimes724.0ms (1.4%)

Counts

106 → 3

Calls

Call 1

Inputs
(/.f64 1 B)
(/.f64 -1 B)
(/.f64 (neg.f64 x) B)
(/.f64 (-.f64 -1 x) B)
(/.f64 (-.f64 1 x) B)
(/.f64 (-.f64 -1 x) B)
(*.f64 (/.f64 -1 F) (/.f64 F B))
(*.f64 (/.f64 1 F) (/.f64 F B))
(-.f64 (*.f64 -1/6 B) (/.f64 1 B))
(+.f64 (neg.f64 (/.f64 x B)) (*.f64 B -1/6))
(+.f64 (/.f64 (/.f64 1 F) (*.f64 F B)) (/.f64 -1 B))
(+.f64 (/.f64 1 B) (/.f64 -1 (.f64 F (.f64 F B))))
(/.f64 (+.f64 (.f64 F (/.f64 1 F)) (.f64 -1 x)) B)
(+.f64 (.f64 -1 (/.f64 (+.f64 1 x) B)) (.f64 -1/6 B))
(/.f64 (+.f64 (.f64 F (/.f64 -1 F)) (.f64 -1 x)) B)
(+.f64 (neg.f64 (/.f64 x B)) (*.f64 (/.f64 F B) (/.f64 -1 F)))
(+.f64 (.f64 -1 (/.f64 (+.f64 1 x) B)) (.f64 1/3 (*.f64 B x)))
(.f64 -1 (/.f64 (+.f64 (.f64 1/6 (*.f64 F B)) (/.f64 F B)) F))
(+.f64 (neg.f64 (/.f64 x B)) (.f64 (.f64 1/6 (*.f64 F B)) (/.f64 -1 F)))
(+.f64 (neg.f64 (.f64 x (/.f64 1 B))) (.f64 (/.f64 F B) (/.f64 -1 F)))
(/.f64 (+.f64 (+.f64 1 (/.f64 (-.f64 -1 x) (.f64 F F))) (.f64 -1 x)) B)
(+.f64 (/.f64 (-.f64 -1 x) (.f64 F (.f64 F B))) (/.f64 (-.f64 1 x) B))
(+.f64 (.f64 (-.f64 (.f64 1/3 x) 1/6) B) (*.f64 -1 (/.f64 (+.f64 1 x) B)))
(-.f64 (+.f64 (.f64 (-.f64 (.f64 1/3 x) 1/6) B) (*.f64 -1 (/.f64 x B))) (/.f64 1 B))
(+.f64 (neg.f64 (/.f64 x B)) (.f64 (+.f64 (.f64 1/6 (*.f64 F B)) (/.f64 F B)) (/.f64 -1 F)))
(/.f64 -1 (sin.f64 B))
(/.f64 1 (sin.f64 B))
(*.f64 (/.f64 F B) (sqrt.f64 1/2))
(/.f64 (*.f64 (sqrt.f64 1/2) F) B)
(-.f64 (/.f64 -1 B) (/.f64 x (tan.f64 B)))
(-.f64 (+.f64 1 (/.f64 -1 (sin.f64 B))) 1)
(fma.f64 B (*.f64 x 1/3) (/.f64 (-.f64 -1 x) B))
(-.f64 (/.f64 1 (*.f64 (pow.f64 F 2) B)) (/.f64 1 B))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 -1 B))
(-.f64 (/.f64 F (*.f64 F (neg.f64 B))) (/.f64 x (tan.f64 B)))
(-.f64 (/.f64 F (*.f64 (sin.f64 B) (neg.f64 F))) (/.f64 x B))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 -1 B))
(/.f64 (+.f64 (.f64 F (sqrt.f64 (/.f64 1/2 x))) (.f64 -1 x)) B)
(+.f64 (neg.f64 (/.f64 x (tan.f64 B))) (*.f64 (/.f64 F B) (/.f64 -1 F)))
(+.f64 (neg.f64 (/.f64 x B)) (/.f64 -1 (*.f64 (/.f64 (sin.f64 B) F) F)))
(+.f64 (neg.f64 (/.f64 x B)) (/.f64 (/.f64 -1 F) (/.f64 (sin.f64 B) F)))
(+.f64 (neg.f64 (/.f64 x B)) (*.f64 (/.f64 F (sin.f64 B)) (/.f64 -1 F)))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 (/.f64 (neg.f64 F) B) F))
(/.f64 (+.f64 (.f64 F (sqrt.f64 (/.f64 1 (.f64 F F)))) (*.f64 -1 x)) B)
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 (/.f64 -1 F) (/.f64 B F)))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 F (/.f64 B (/.f64 -1 F))))
(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (*.f64 (/.f64 F B) (/.f64 -1 F)))
(+.f64 (neg.f64 (/.f64 x B)) (.f64 (.f64 (/.f64 1 (sin.f64 B)) F) (/.f64 -1 F)))
(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (.f64 (/.f64 F B) (/.f64 -1 F)))
(/.f64 (+.f64 (.f64 F (sqrt.f64 (/.f64 1 (+.f64 (.f64 2 x) 2)))) (*.f64 -1 x)) B)
(+.f64 (.f64 1/2 (/.f64 (fma.f64 2 x 2) (.f64 F (*.f64 F B)))) (/.f64 (-.f64 -1 x) B))
(+.f64 (.f64 -1 (/.f64 x B)) (.f64 (/.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 2 x) 2)))))
(/.f64 (+.f64 (-.f64 (.f64 1/2 (/.f64 (+.f64 2 (.f64 2 x)) (pow.f64 F 2))) 1) (*.f64 -1 x)) B)
(-.f64 (+.f64 (.f64 -1 (/.f64 x B)) (.f64 1/2 (/.f64 (+.f64 2 (.f64 2 x)) (.f64 (pow.f64 F 2) B)))) (/.f64 1 B))
(*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B)))
(*.f64 x (neg.f64 (/.f64 (cos.f64 B) (sin.f64 B))))
(/.f64 (neg.f64 x) (/.f64 (sin.f64 B) (cos.f64 B)))
(/.f64 (*.f64 x (neg.f64 (cos.f64 B))) (sin.f64 B))
(/.f64 (/.f64 F (sqrt.f64 (fma.f64 F F 2))) B)
(-.f64 (/.f64 -1 (sin.f64 B)) (/.f64 x (tan.f64 B)))
(*.f64 (sqrt.f64 (/.f64 1 (fma.f64 F F 2))) (/.f64 F B))
(.f64 (+.f64 (.f64 (cos.f64 B) x) 1) (/.f64 -1 (sin.f64 B)))
(-.f64 (/.f64 F (*.f64 (sin.f64 B) (neg.f64 F))) (/.f64 x (tan.f64 B)))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 (sin.f64 B)))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 (sin.f64 B)))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 -1 (sin.f64 B)))
(-.f64 (*.f64 (/.f64 F (sin.f64 B)) (/.f64 1 F)) (/.f64 x (tan.f64 B)))
(/.f64 (fma.f64 (/.f64 (neg.f64 F) (sin.f64 B)) B (.f64 F (neg.f64 x))) (.f64 F B))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 (/.f64 -1 F) (/.f64 (sin.f64 B) F)))
(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (*.f64 (/.f64 F (sin.f64 B)) (/.f64 -1 F)))
(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 -1 (.f64 (/.f64 (sin.f64 B) F) F)))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 F (/.f64 (sin.f64 B) (/.f64 -1 F))))
(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (.f64 (/.f64 F (sin.f64 B)) (/.f64 -1 F)))
(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (.f64 (/.f64 F (sin.f64 B)) (/.f64 1 F)))
(+.f64 (neg.f64 (/.f64 x B)) (/.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 2 (.f64 2 x)))) F) (sin.f64 B)))
(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 (/.f64 (sin.f64 B) (.f64 F (/.f64 -1 F)))))
(-.f64 (/.f64 F (+.f64 (.f64 1/6 (.f64 F (pow.f64 B 3))) (.f64 -1 (.f64 F B)))) (/.f64 x (tan.f64 B)))
(/.f64 (+.f64 (.f64 F (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x)))))) (*.f64 -1 x)) B)
(+.f64 (neg.f64 (/.f64 x B)) (.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (.f64 F F) 2) (*.f64 2 x)) (neg.f64 (/.f64 1 2)))))
(cbrt.f64 (pow.f64 (/.f64 -1 (sin.f64 B)) 3))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (/.f64 (sin.f64 B) (cos.f64 B))))
(fma.f64 (/.f64 F (sin.f64 B)) (/.f64 -1 F) (/.f64 (neg.f64 x) (tan.f64 B)))
(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (.f64 F (/.f64 (sqrt.f64 1/2) (sin.f64 B))))
(+.f64 (neg.f64 (/.f64 (sqrt.f64 x) (/.f64 (tan.f64 B) (sqrt.f64 x)))) (*.f64 (/.f64 F B) (/.f64 -1 F)))
(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (+.f64 0 (/.f64 F (.f64 (sqrt.f64 (+.f64 2 (*.f64 2 x))) (sin.f64 B)))))
(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 2 (*.f64 2 x)))) F) (sin.f64 B)))
(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 (.f64 (sqrt.f64 (+.f64 2 (*.f64 2 x))) (/.f64 (sin.f64 B) F))))
(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 2 x) 2)))))
(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (.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 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 F (cbrt.f64 (pow.f64 (*.f64 F (sin.f64 B)) 3))) (/.f64 x (tan.f64 B)))
(/.f64 (fma.f64 (/.f64 F (sin.f64 B)) (tan.f64 B) (neg.f64 (.f64 F x))) (.f64 F (tan.f64 B)))
(+.f64 (neg.f64 (/.f64 (sqrt.f64 x) (/.f64 (tan.f64 B) (sqrt.f64 x)))) (*.f64 (/.f64 F (sin.f64 B)) (/.f64 -1 F)))
(+.f64 (neg.f64 (.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)) (.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 B)))) (+.f64 0 (/.f64 F (.f64 (sin.f64 B) (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2)))))))
(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 (.f64 F (pow.f64 (fma.f64 F F (fma.f64 2 x 2)) -1/2)) (sin.f64 B)))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 F (/.f64 (sin.f64 B) (pow.f64 (fma.f64 F F (fma.f64 2 x 2)) -1/2))))
(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 (/.f64 (sin.f64 B) (.f64 F (pow.f64 (fma.f64 F F (fma.f64 2 x 2)) -1/2)))))
(+.f64 (neg.f64 (/.f64 (sqrt.f64 x) (/.f64 (tan.f64 B) (sqrt.f64 x)))) (.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (.f64 F F) 2) (*.f64 2 x)) (neg.f64 (/.f64 1 2)))))
(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 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (cbrt.f64 (pow.f64 (.f64 (pow.f64 (fma.f64 F F (fma.f64 2 x 2)) -1/2) (/.f64 F (sin.f64 B))) 3)))
(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (sqrt.f64 (.f64 (pow.f64 (/.f64 F (sin.f64 B)) 2) (pow.f64 (fma.f64 F F (fma.f64 2 x 2)) -1))))
(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (pow.f64 (.f64 (sqrt.f64 (/.f64 F (sin.f64 B))) (pow.f64 (fma.f64 F F (fma.f64 2 x 2)) -1/4)) 2))
(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 (.f64 F (*.f64 (pow.f64 (fma.f64 F F (fma.f64 2 x 2)) -1/4) (pow.f64 (fma.f64 F F (fma.f64 2 x 2)) -1/4))) (sin.f64 B)))
(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (.f64 (/.f64 F (sin.f64 B)) (*.f64 (pow.f64 (fma.f64 F F (fma.f64 2 x 2)) -1/4) (pow.f64 (fma.f64 F F (fma.f64 2 x 2)) -1/4))))
(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (.f64 (/.f64 F (sin.f64 B)) (*.f64 (pow.f64 (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2))) -1/2) (pow.f64 (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2))) -1/2))))

Outputs

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

Calls

4 calls:

229.0ms	F
202.0ms	(+.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)))))
130.0ms	B
95.0ms	x

Results

Error	Segments	Branch
0.2b	3	`F`
5.2b	2	`B`
0.4b	2	`x`
1.5b	4	`(+.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 1593 to 875 computations (45.1% saved)

bsearch1.0s (2.1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
649.0ms	46399769.02924295	375257974635741.9
386.0ms	-2003907497233744.5	-734487818500223.3

Compiler

Compiled 567 to 401 computations (29.3% saved)

regimes750.0ms (1.5%)

Counts

99 → 3

Calls

Call 1

Inputs
(/.f64 1 B)
(/.f64 -1 B)
(/.f64 (neg.f64 x) B)
(/.f64 (-.f64 -1 x) B)
(/.f64 (-.f64 1 x) B)
(/.f64 (-.f64 -1 x) B)
(*.f64 (/.f64 -1 F) (/.f64 F B))
(*.f64 (/.f64 1 F) (/.f64 F B))
(-.f64 (*.f64 -1/6 B) (/.f64 1 B))
(+.f64 (neg.f64 (/.f64 x B)) (*.f64 B -1/6))
(+.f64 (/.f64 (/.f64 1 F) (*.f64 F B)) (/.f64 -1 B))
(+.f64 (/.f64 1 B) (/.f64 -1 (.f64 F (.f64 F B))))
(/.f64 (+.f64 (.f64 F (/.f64 1 F)) (.f64 -1 x)) B)
(+.f64 (.f64 -1 (/.f64 (+.f64 1 x) B)) (.f64 -1/6 B))
(/.f64 (+.f64 (.f64 F (/.f64 -1 F)) (.f64 -1 x)) B)
(+.f64 (neg.f64 (/.f64 x B)) (*.f64 (/.f64 F B) (/.f64 -1 F)))
(+.f64 (.f64 -1 (/.f64 (+.f64 1 x) B)) (.f64 1/3 (*.f64 B x)))
(.f64 -1 (/.f64 (+.f64 (.f64 1/6 (*.f64 F B)) (/.f64 F B)) F))
(+.f64 (neg.f64 (/.f64 x B)) (.f64 (.f64 1/6 (*.f64 F B)) (/.f64 -1 F)))
(+.f64 (neg.f64 (.f64 x (/.f64 1 B))) (.f64 (/.f64 F B) (/.f64 -1 F)))
(/.f64 (+.f64 (+.f64 1 (/.f64 (-.f64 -1 x) (.f64 F F))) (.f64 -1 x)) B)
(+.f64 (/.f64 (-.f64 -1 x) (.f64 F (.f64 F B))) (/.f64 (-.f64 1 x) B))
(+.f64 (.f64 (-.f64 (.f64 1/3 x) 1/6) B) (*.f64 -1 (/.f64 (+.f64 1 x) B)))
(-.f64 (+.f64 (.f64 (-.f64 (.f64 1/3 x) 1/6) B) (*.f64 -1 (/.f64 x B))) (/.f64 1 B))
(+.f64 (neg.f64 (/.f64 x B)) (.f64 (+.f64 (.f64 1/6 (*.f64 F B)) (/.f64 F B)) (/.f64 -1 F)))
(/.f64 -1 (sin.f64 B))
(/.f64 1 (sin.f64 B))
(*.f64 (/.f64 F B) (sqrt.f64 1/2))
(/.f64 (*.f64 (sqrt.f64 1/2) F) B)
(-.f64 (/.f64 -1 B) (/.f64 x (tan.f64 B)))
(-.f64 (+.f64 1 (/.f64 -1 (sin.f64 B))) 1)
(fma.f64 B (*.f64 x 1/3) (/.f64 (-.f64 -1 x) B))
(-.f64 (/.f64 1 (*.f64 (pow.f64 F 2) B)) (/.f64 1 B))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 -1 B))
(-.f64 (/.f64 F (*.f64 F (neg.f64 B))) (/.f64 x (tan.f64 B)))
(-.f64 (/.f64 F (*.f64 (sin.f64 B) (neg.f64 F))) (/.f64 x B))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 -1 B))
(/.f64 (+.f64 (.f64 F (sqrt.f64 (/.f64 1/2 x))) (.f64 -1 x)) B)
(+.f64 (neg.f64 (/.f64 x (tan.f64 B))) (*.f64 (/.f64 F B) (/.f64 -1 F)))
(+.f64 (neg.f64 (/.f64 x B)) (/.f64 -1 (*.f64 (/.f64 (sin.f64 B) F) F)))
(+.f64 (neg.f64 (/.f64 x B)) (/.f64 (/.f64 -1 F) (/.f64 (sin.f64 B) F)))
(+.f64 (neg.f64 (/.f64 x B)) (*.f64 (/.f64 F (sin.f64 B)) (/.f64 -1 F)))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 (/.f64 (neg.f64 F) B) F))
(/.f64 (+.f64 (.f64 F (sqrt.f64 (/.f64 1 (.f64 F F)))) (*.f64 -1 x)) B)
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 (/.f64 -1 F) (/.f64 B F)))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 F (/.f64 B (/.f64 -1 F))))
(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (*.f64 (/.f64 F B) (/.f64 -1 F)))
(+.f64 (neg.f64 (/.f64 x B)) (.f64 (.f64 (/.f64 1 (sin.f64 B)) F) (/.f64 -1 F)))
(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (.f64 (/.f64 F B) (/.f64 -1 F)))
(/.f64 (+.f64 (.f64 F (sqrt.f64 (/.f64 1 (+.f64 (.f64 2 x) 2)))) (*.f64 -1 x)) B)
(+.f64 (.f64 1/2 (/.f64 (fma.f64 2 x 2) (.f64 F (*.f64 F B)))) (/.f64 (-.f64 -1 x) B))
(+.f64 (.f64 -1 (/.f64 x B)) (.f64 (/.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 2 x) 2)))))
(/.f64 (+.f64 (-.f64 (.f64 1/2 (/.f64 (+.f64 2 (.f64 2 x)) (pow.f64 F 2))) 1) (*.f64 -1 x)) B)
(-.f64 (+.f64 (.f64 -1 (/.f64 x B)) (.f64 1/2 (/.f64 (+.f64 2 (.f64 2 x)) (.f64 (pow.f64 F 2) B)))) (/.f64 1 B))
(*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B)))
(*.f64 x (neg.f64 (/.f64 (cos.f64 B) (sin.f64 B))))
(/.f64 (neg.f64 x) (/.f64 (sin.f64 B) (cos.f64 B)))
(/.f64 (*.f64 x (neg.f64 (cos.f64 B))) (sin.f64 B))
(/.f64 (/.f64 F (sqrt.f64 (fma.f64 F F 2))) B)
(-.f64 (/.f64 -1 (sin.f64 B)) (/.f64 x (tan.f64 B)))
(*.f64 (sqrt.f64 (/.f64 1 (fma.f64 F F 2))) (/.f64 F B))
(.f64 (+.f64 (.f64 (cos.f64 B) x) 1) (/.f64 -1 (sin.f64 B)))
(-.f64 (/.f64 F (*.f64 (sin.f64 B) (neg.f64 F))) (/.f64 x (tan.f64 B)))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 (sin.f64 B)))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 (sin.f64 B)))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 -1 (sin.f64 B)))
(-.f64 (*.f64 (/.f64 F (sin.f64 B)) (/.f64 1 F)) (/.f64 x (tan.f64 B)))
(/.f64 (fma.f64 (/.f64 (neg.f64 F) (sin.f64 B)) B (.f64 F (neg.f64 x))) (.f64 F B))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 (/.f64 -1 F) (/.f64 (sin.f64 B) F)))
(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (*.f64 (/.f64 F (sin.f64 B)) (/.f64 -1 F)))
(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 -1 (.f64 (/.f64 (sin.f64 B) F) F)))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 F (/.f64 (sin.f64 B) (/.f64 -1 F))))
(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (.f64 (/.f64 F (sin.f64 B)) (/.f64 -1 F)))
(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (.f64 (/.f64 F (sin.f64 B)) (/.f64 1 F)))
(+.f64 (neg.f64 (/.f64 x B)) (/.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 2 (.f64 2 x)))) F) (sin.f64 B)))
(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 (/.f64 (sin.f64 B) (.f64 F (/.f64 -1 F)))))
(-.f64 (/.f64 F (+.f64 (.f64 1/6 (.f64 F (pow.f64 B 3))) (.f64 -1 (.f64 F B)))) (/.f64 x (tan.f64 B)))
(/.f64 (+.f64 (.f64 F (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x)))))) (*.f64 -1 x)) B)
(+.f64 (neg.f64 (/.f64 x B)) (.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (.f64 F F) 2) (*.f64 2 x)) (neg.f64 (/.f64 1 2)))))
(cbrt.f64 (pow.f64 (/.f64 -1 (sin.f64 B)) 3))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (/.f64 (sin.f64 B) (cos.f64 B))))
(fma.f64 (/.f64 F (sin.f64 B)) (/.f64 -1 F) (/.f64 (neg.f64 x) (tan.f64 B)))
(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (.f64 F (/.f64 (sqrt.f64 1/2) (sin.f64 B))))
(+.f64 (neg.f64 (/.f64 (sqrt.f64 x) (/.f64 (tan.f64 B) (sqrt.f64 x)))) (*.f64 (/.f64 F B) (/.f64 -1 F)))
(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (+.f64 0 (/.f64 F (.f64 (sqrt.f64 (+.f64 2 (*.f64 2 x))) (sin.f64 B)))))
(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 2 (*.f64 2 x)))) F) (sin.f64 B)))
(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 (.f64 (sqrt.f64 (+.f64 2 (*.f64 2 x))) (/.f64 (sin.f64 B) F))))
(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 2 x) 2)))))
(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (.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 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 F (cbrt.f64 (pow.f64 (*.f64 F (sin.f64 B)) 3))) (/.f64 x (tan.f64 B)))
(/.f64 (fma.f64 (/.f64 F (sin.f64 B)) (tan.f64 B) (neg.f64 (.f64 F x))) (.f64 F (tan.f64 B)))
(+.f64 (neg.f64 (/.f64 (sqrt.f64 x) (/.f64 (tan.f64 B) (sqrt.f64 x)))) (*.f64 (/.f64 F (sin.f64 B)) (/.f64 -1 F)))
(+.f64 (neg.f64 (.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)) (.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 B)))) (+.f64 0 (/.f64 F (.f64 (sin.f64 B) (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2)))))))
(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 (.f64 F (pow.f64 (fma.f64 F F (fma.f64 2 x 2)) -1/2)) (sin.f64 B)))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 F (/.f64 (sin.f64 B) (pow.f64 (fma.f64 F F (fma.f64 2 x 2)) -1/2))))
(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 (/.f64 (sin.f64 B) (.f64 F (pow.f64 (fma.f64 F F (fma.f64 2 x 2)) -1/2)))))
(+.f64 (neg.f64 (/.f64 (sqrt.f64 x) (/.f64 (tan.f64 B) (sqrt.f64 x)))) (.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 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) 2) (*.f64 2 x)) (neg.f64 (/.f64 1 2)))))

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

Calls

4 calls:

233.0ms	(+.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)))))
207.0ms	F
140.0ms	B
114.0ms	x

Results

Error	Segments	Branch
0.2b	3	`F`
5.2b	2	`B`
0.4b	2	`x`
1.5b	4	`(+.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 1403 to 763 computations (45.6% saved)

bsearch960.0ms (1.9%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
605.0ms	46399769.02924295	375257974635741.9
354.0ms	-2003907497233744.5	-734487818500223.3

Compiler

Compiled 679 to 513 computations (24.4% saved)

regimes693.0ms (1.4%)

Counts

88 → 3

Calls

Call 1

Inputs
(/.f64 1 B)
(/.f64 -1 B)
(/.f64 (neg.f64 x) B)
(/.f64 (-.f64 -1 x) B)
(/.f64 (-.f64 1 x) B)
(/.f64 (-.f64 -1 x) B)
(*.f64 (/.f64 -1 F) (/.f64 F B))
(*.f64 (/.f64 1 F) (/.f64 F B))
(-.f64 (*.f64 -1/6 B) (/.f64 1 B))
(+.f64 (neg.f64 (/.f64 x B)) (*.f64 B -1/6))
(+.f64 (/.f64 (/.f64 1 F) (*.f64 F B)) (/.f64 -1 B))
(+.f64 (/.f64 1 B) (/.f64 -1 (.f64 F (.f64 F B))))
(/.f64 (+.f64 (.f64 F (/.f64 1 F)) (.f64 -1 x)) B)
(+.f64 (.f64 -1 (/.f64 (+.f64 1 x) B)) (.f64 -1/6 B))
(/.f64 (+.f64 (.f64 F (/.f64 -1 F)) (.f64 -1 x)) B)
(+.f64 (neg.f64 (/.f64 x B)) (*.f64 (/.f64 F B) (/.f64 -1 F)))
(+.f64 (.f64 -1 (/.f64 (+.f64 1 x) B)) (.f64 1/3 (*.f64 B x)))
(.f64 -1 (/.f64 (+.f64 (.f64 1/6 (*.f64 F B)) (/.f64 F B)) F))
(+.f64 (neg.f64 (/.f64 x B)) (.f64 (.f64 1/6 (*.f64 F B)) (/.f64 -1 F)))
(+.f64 (neg.f64 (.f64 x (/.f64 1 B))) (.f64 (/.f64 F B) (/.f64 -1 F)))
(/.f64 (+.f64 (+.f64 1 (/.f64 (-.f64 -1 x) (.f64 F F))) (.f64 -1 x)) B)
(+.f64 (/.f64 (-.f64 -1 x) (.f64 F (.f64 F B))) (/.f64 (-.f64 1 x) B))
(+.f64 (.f64 (-.f64 (.f64 1/3 x) 1/6) B) (*.f64 -1 (/.f64 (+.f64 1 x) B)))
(-.f64 (+.f64 (.f64 (-.f64 (.f64 1/3 x) 1/6) B) (*.f64 -1 (/.f64 x B))) (/.f64 1 B))
(+.f64 (neg.f64 (/.f64 x B)) (.f64 (+.f64 (.f64 1/6 (*.f64 F B)) (/.f64 F B)) (/.f64 -1 F)))
(/.f64 -1 (sin.f64 B))
(/.f64 1 (sin.f64 B))
(*.f64 (/.f64 F B) (sqrt.f64 1/2))
(/.f64 (*.f64 (sqrt.f64 1/2) F) B)
(-.f64 (/.f64 -1 B) (/.f64 x (tan.f64 B)))
(-.f64 (+.f64 1 (/.f64 -1 (sin.f64 B))) 1)
(fma.f64 B (*.f64 x 1/3) (/.f64 (-.f64 -1 x) B))
(-.f64 (/.f64 1 (*.f64 (pow.f64 F 2) B)) (/.f64 1 B))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 -1 B))
(-.f64 (/.f64 F (*.f64 F (neg.f64 B))) (/.f64 x (tan.f64 B)))
(-.f64 (/.f64 F (*.f64 (sin.f64 B) (neg.f64 F))) (/.f64 x B))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 -1 B))
(/.f64 (+.f64 (.f64 F (sqrt.f64 (/.f64 1/2 x))) (.f64 -1 x)) B)
(+.f64 (neg.f64 (/.f64 x (tan.f64 B))) (*.f64 (/.f64 F B) (/.f64 -1 F)))
(+.f64 (neg.f64 (/.f64 x B)) (/.f64 -1 (*.f64 (/.f64 (sin.f64 B) F) F)))
(+.f64 (neg.f64 (/.f64 x B)) (/.f64 (/.f64 -1 F) (/.f64 (sin.f64 B) F)))
(+.f64 (neg.f64 (/.f64 x B)) (*.f64 (/.f64 F (sin.f64 B)) (/.f64 -1 F)))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 (/.f64 (neg.f64 F) B) F))
(/.f64 (+.f64 (.f64 F (sqrt.f64 (/.f64 1 (.f64 F F)))) (*.f64 -1 x)) B)
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 (/.f64 -1 F) (/.f64 B F)))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 F (/.f64 B (/.f64 -1 F))))
(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (*.f64 (/.f64 F B) (/.f64 -1 F)))
(+.f64 (neg.f64 (/.f64 x B)) (.f64 (.f64 (/.f64 1 (sin.f64 B)) F) (/.f64 -1 F)))
(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (.f64 (/.f64 F B) (/.f64 -1 F)))
(/.f64 (+.f64 (.f64 F (sqrt.f64 (/.f64 1 (+.f64 (.f64 2 x) 2)))) (*.f64 -1 x)) B)
(+.f64 (.f64 1/2 (/.f64 (fma.f64 2 x 2) (.f64 F (*.f64 F B)))) (/.f64 (-.f64 -1 x) B))
(+.f64 (.f64 -1 (/.f64 x B)) (.f64 (/.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 2 x) 2)))))
(/.f64 (+.f64 (-.f64 (.f64 1/2 (/.f64 (+.f64 2 (.f64 2 x)) (pow.f64 F 2))) 1) (*.f64 -1 x)) B)
(-.f64 (+.f64 (.f64 -1 (/.f64 x B)) (.f64 1/2 (/.f64 (+.f64 2 (.f64 2 x)) (.f64 (pow.f64 F 2) B)))) (/.f64 1 B))
(*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B)))
(*.f64 x (neg.f64 (/.f64 (cos.f64 B) (sin.f64 B))))
(/.f64 (neg.f64 x) (/.f64 (sin.f64 B) (cos.f64 B)))
(/.f64 (*.f64 x (neg.f64 (cos.f64 B))) (sin.f64 B))
(/.f64 (/.f64 F (sqrt.f64 (fma.f64 F F 2))) B)
(-.f64 (/.f64 -1 (sin.f64 B)) (/.f64 x (tan.f64 B)))
(*.f64 (sqrt.f64 (/.f64 1 (fma.f64 F F 2))) (/.f64 F B))
(.f64 (+.f64 (.f64 (cos.f64 B) x) 1) (/.f64 -1 (sin.f64 B)))
(-.f64 (/.f64 F (*.f64 (sin.f64 B) (neg.f64 F))) (/.f64 x (tan.f64 B)))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 (sin.f64 B)))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 (sin.f64 B)))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 -1 (sin.f64 B)))
(-.f64 (*.f64 (/.f64 F (sin.f64 B)) (/.f64 1 F)) (/.f64 x (tan.f64 B)))
(/.f64 (fma.f64 (/.f64 (neg.f64 F) (sin.f64 B)) B (.f64 F (neg.f64 x))) (.f64 F B))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 (/.f64 -1 F) (/.f64 (sin.f64 B) F)))
(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (*.f64 (/.f64 F (sin.f64 B)) (/.f64 -1 F)))
(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 -1 (.f64 (/.f64 (sin.f64 B) F) F)))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 F (/.f64 (sin.f64 B) (/.f64 -1 F))))
(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (.f64 (/.f64 F (sin.f64 B)) (/.f64 -1 F)))
(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (.f64 (/.f64 F (sin.f64 B)) (/.f64 1 F)))
(+.f64 (neg.f64 (/.f64 x B)) (/.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 2 (.f64 2 x)))) F) (sin.f64 B)))
(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 (/.f64 (sin.f64 B) (.f64 F (/.f64 -1 F)))))
(-.f64 (/.f64 F (+.f64 (.f64 1/6 (.f64 F (pow.f64 B 3))) (.f64 -1 (.f64 F B)))) (/.f64 x (tan.f64 B)))
(/.f64 (+.f64 (.f64 F (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x)))))) (*.f64 -1 x)) B)
(+.f64 (neg.f64 (/.f64 x B)) (.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (.f64 F F) 2) (*.f64 2 x)) (neg.f64 (/.f64 1 2)))))
(cbrt.f64 (pow.f64 (/.f64 -1 (sin.f64 B)) 3))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (/.f64 (sin.f64 B) (cos.f64 B))))
(fma.f64 (/.f64 F (sin.f64 B)) (/.f64 -1 F) (/.f64 (neg.f64 x) (tan.f64 B)))
(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (.f64 F (/.f64 (sqrt.f64 1/2) (sin.f64 B))))
(+.f64 (neg.f64 (/.f64 (sqrt.f64 x) (/.f64 (tan.f64 B) (sqrt.f64 x)))) (*.f64 (/.f64 F B) (/.f64 -1 F)))
(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (+.f64 0 (/.f64 F (.f64 (sqrt.f64 (+.f64 2 (*.f64 2 x))) (sin.f64 B)))))
(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 2 (*.f64 2 x)))) F) (sin.f64 B)))
(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 (.f64 (sqrt.f64 (+.f64 2 (*.f64 2 x))) (/.f64 (sin.f64 B) F))))
(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 2 x) 2)))))

Outputs

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

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

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

Calls

3 calls:

325.0ms	B
200.0ms	F
139.0ms	x

Results

Error	Segments	Branch
0.4b	3	`F`
15.4b	5	`B`
14.5b	3	`x`

Compiler

Compiled 1124 to 613 computations (45.5% saved)

bsearch1.1s (2.1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
498.0ms	5.1238078098553385e-12	291.1048724794787
580.0ms	-12732480.094326213	-234.86985118947297

Compiler

Compiled 750 to 578 computations (22.9% saved)

regimes564.0ms (1.1%)

Counts

87 → 3

Calls

Call 1

Inputs
(/.f64 1 B)
(/.f64 -1 B)
(/.f64 (neg.f64 x) B)
(/.f64 (-.f64 -1 x) B)
(/.f64 (-.f64 1 x) B)
(/.f64 (-.f64 -1 x) B)
(*.f64 (/.f64 -1 F) (/.f64 F B))
(*.f64 (/.f64 1 F) (/.f64 F B))
(-.f64 (*.f64 -1/6 B) (/.f64 1 B))
(+.f64 (neg.f64 (/.f64 x B)) (*.f64 B -1/6))
(+.f64 (/.f64 (/.f64 1 F) (*.f64 F B)) (/.f64 -1 B))
(+.f64 (/.f64 1 B) (/.f64 -1 (.f64 F (.f64 F B))))
(/.f64 (+.f64 (.f64 F (/.f64 1 F)) (.f64 -1 x)) B)
(+.f64 (.f64 -1 (/.f64 (+.f64 1 x) B)) (.f64 -1/6 B))
(/.f64 (+.f64 (.f64 F (/.f64 -1 F)) (.f64 -1 x)) B)
(+.f64 (neg.f64 (/.f64 x B)) (*.f64 (/.f64 F B) (/.f64 -1 F)))
(+.f64 (.f64 -1 (/.f64 (+.f64 1 x) B)) (.f64 1/3 (*.f64 B x)))
(.f64 -1 (/.f64 (+.f64 (.f64 1/6 (*.f64 F B)) (/.f64 F B)) F))
(+.f64 (neg.f64 (/.f64 x B)) (.f64 (.f64 1/6 (*.f64 F B)) (/.f64 -1 F)))
(+.f64 (neg.f64 (.f64 x (/.f64 1 B))) (.f64 (/.f64 F B) (/.f64 -1 F)))
(/.f64 (+.f64 (+.f64 1 (/.f64 (-.f64 -1 x) (.f64 F F))) (.f64 -1 x)) B)
(+.f64 (/.f64 (-.f64 -1 x) (.f64 F (.f64 F B))) (/.f64 (-.f64 1 x) B))
(+.f64 (.f64 (-.f64 (.f64 1/3 x) 1/6) B) (*.f64 -1 (/.f64 (+.f64 1 x) B)))
(-.f64 (+.f64 (.f64 (-.f64 (.f64 1/3 x) 1/6) B) (*.f64 -1 (/.f64 x B))) (/.f64 1 B))
(+.f64 (neg.f64 (/.f64 x B)) (.f64 (+.f64 (.f64 1/6 (*.f64 F B)) (/.f64 F B)) (/.f64 -1 F)))
(/.f64 -1 (sin.f64 B))
(/.f64 1 (sin.f64 B))
(*.f64 (/.f64 F B) (sqrt.f64 1/2))
(/.f64 (*.f64 (sqrt.f64 1/2) F) B)
(-.f64 (/.f64 -1 B) (/.f64 x (tan.f64 B)))
(-.f64 (+.f64 1 (/.f64 -1 (sin.f64 B))) 1)
(fma.f64 B (*.f64 x 1/3) (/.f64 (-.f64 -1 x) B))
(-.f64 (/.f64 1 (*.f64 (pow.f64 F 2) B)) (/.f64 1 B))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 -1 B))
(-.f64 (/.f64 F (*.f64 F (neg.f64 B))) (/.f64 x (tan.f64 B)))
(-.f64 (/.f64 F (*.f64 (sin.f64 B) (neg.f64 F))) (/.f64 x B))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 -1 B))
(/.f64 (+.f64 (.f64 F (sqrt.f64 (/.f64 1/2 x))) (.f64 -1 x)) B)
(+.f64 (neg.f64 (/.f64 x (tan.f64 B))) (*.f64 (/.f64 F B) (/.f64 -1 F)))
(+.f64 (neg.f64 (/.f64 x B)) (/.f64 -1 (*.f64 (/.f64 (sin.f64 B) F) F)))
(+.f64 (neg.f64 (/.f64 x B)) (/.f64 (/.f64 -1 F) (/.f64 (sin.f64 B) F)))
(+.f64 (neg.f64 (/.f64 x B)) (*.f64 (/.f64 F (sin.f64 B)) (/.f64 -1 F)))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 (/.f64 (neg.f64 F) B) F))
(/.f64 (+.f64 (.f64 F (sqrt.f64 (/.f64 1 (.f64 F F)))) (*.f64 -1 x)) B)
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 (/.f64 -1 F) (/.f64 B F)))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 F (/.f64 B (/.f64 -1 F))))
(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (*.f64 (/.f64 F B) (/.f64 -1 F)))
(+.f64 (neg.f64 (/.f64 x B)) (.f64 (.f64 (/.f64 1 (sin.f64 B)) F) (/.f64 -1 F)))
(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (.f64 (/.f64 F B) (/.f64 -1 F)))
(/.f64 (+.f64 (.f64 F (sqrt.f64 (/.f64 1 (+.f64 (.f64 2 x) 2)))) (*.f64 -1 x)) B)
(+.f64 (.f64 1/2 (/.f64 (fma.f64 2 x 2) (.f64 F (*.f64 F B)))) (/.f64 (-.f64 -1 x) B))
(+.f64 (.f64 -1 (/.f64 x B)) (.f64 (/.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 2 x) 2)))))
(/.f64 (+.f64 (-.f64 (.f64 1/2 (/.f64 (+.f64 2 (.f64 2 x)) (pow.f64 F 2))) 1) (*.f64 -1 x)) B)
(-.f64 (+.f64 (.f64 -1 (/.f64 x B)) (.f64 1/2 (/.f64 (+.f64 2 (.f64 2 x)) (.f64 (pow.f64 F 2) B)))) (/.f64 1 B))
(*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B)))
(*.f64 x (neg.f64 (/.f64 (cos.f64 B) (sin.f64 B))))
(/.f64 (neg.f64 x) (/.f64 (sin.f64 B) (cos.f64 B)))
(/.f64 (*.f64 x (neg.f64 (cos.f64 B))) (sin.f64 B))
(/.f64 (/.f64 F (sqrt.f64 (fma.f64 F F 2))) B)
(-.f64 (/.f64 -1 (sin.f64 B)) (/.f64 x (tan.f64 B)))
(*.f64 (sqrt.f64 (/.f64 1 (fma.f64 F F 2))) (/.f64 F B))
(.f64 (+.f64 (.f64 (cos.f64 B) x) 1) (/.f64 -1 (sin.f64 B)))
(-.f64 (/.f64 F (*.f64 (sin.f64 B) (neg.f64 F))) (/.f64 x (tan.f64 B)))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 (sin.f64 B)))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 (sin.f64 B)))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 -1 (sin.f64 B)))
(-.f64 (*.f64 (/.f64 F (sin.f64 B)) (/.f64 1 F)) (/.f64 x (tan.f64 B)))
(/.f64 (fma.f64 (/.f64 (neg.f64 F) (sin.f64 B)) B (.f64 F (neg.f64 x))) (.f64 F B))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 (/.f64 -1 F) (/.f64 (sin.f64 B) F)))
(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (*.f64 (/.f64 F (sin.f64 B)) (/.f64 -1 F)))
(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 -1 (.f64 (/.f64 (sin.f64 B) F) F)))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 F (/.f64 (sin.f64 B) (/.f64 -1 F))))
(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (.f64 (/.f64 F (sin.f64 B)) (/.f64 -1 F)))
(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (.f64 (/.f64 F (sin.f64 B)) (/.f64 1 F)))
(+.f64 (neg.f64 (/.f64 x B)) (/.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 2 (.f64 2 x)))) F) (sin.f64 B)))
(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 (/.f64 (sin.f64 B) (.f64 F (/.f64 -1 F)))))
(-.f64 (/.f64 F (+.f64 (.f64 1/6 (.f64 F (pow.f64 B 3))) (.f64 -1 (.f64 F B)))) (/.f64 x (tan.f64 B)))
(/.f64 (+.f64 (.f64 F (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x)))))) (*.f64 -1 x)) B)
(+.f64 (neg.f64 (/.f64 x B)) (.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (.f64 F F) 2) (*.f64 2 x)) (neg.f64 (/.f64 1 2)))))
(cbrt.f64 (pow.f64 (/.f64 -1 (sin.f64 B)) 3))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (/.f64 (sin.f64 B) (cos.f64 B))))
(fma.f64 (/.f64 F (sin.f64 B)) (/.f64 -1 F) (/.f64 (neg.f64 x) (tan.f64 B)))
(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (.f64 F (/.f64 (sqrt.f64 1/2) (sin.f64 B))))
(+.f64 (neg.f64 (/.f64 (sqrt.f64 x) (/.f64 (tan.f64 B) (sqrt.f64 x)))) (*.f64 (/.f64 F B) (/.f64 -1 F)))
(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (+.f64 0 (/.f64 F (.f64 (sqrt.f64 (+.f64 2 (*.f64 2 x))) (sin.f64 B)))))
(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 2 (*.f64 2 x)))) F) (sin.f64 B)))
(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 (.f64 (sqrt.f64 (+.f64 2 (*.f64 2 x))) (/.f64 (sin.f64 B) F))))

Outputs

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

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

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

Calls

3 calls:

277.0ms	B
144.0ms	F
112.0ms	x

Results

Error	Segments	Branch
0.4b	3	`F`
15.4b	5	`B`
14.5b	3	`x`

Compiler

Compiled 1103 to 600 computations (45.6% saved)

bsearch1.0s (2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
519.0ms	5.1238078098553385e-12	291.1048724794787
484.0ms	-12732480.094326213	-234.86985118947297

Compiler

Compiled 750 to 578 computations (22.9% saved)

regimes477.0ms (0.9%)

Counts

85 → 3

Calls

Call 1

Inputs
(/.f64 1 B)
(/.f64 -1 B)
(/.f64 (neg.f64 x) B)
(/.f64 (-.f64 -1 x) B)
(/.f64 (-.f64 1 x) B)
(/.f64 (-.f64 -1 x) B)
(*.f64 (/.f64 -1 F) (/.f64 F B))
(*.f64 (/.f64 1 F) (/.f64 F B))
(-.f64 (*.f64 -1/6 B) (/.f64 1 B))
(+.f64 (neg.f64 (/.f64 x B)) (*.f64 B -1/6))
(+.f64 (/.f64 (/.f64 1 F) (*.f64 F B)) (/.f64 -1 B))
(+.f64 (/.f64 1 B) (/.f64 -1 (.f64 F (.f64 F B))))
(/.f64 (+.f64 (.f64 F (/.f64 1 F)) (.f64 -1 x)) B)
(+.f64 (.f64 -1 (/.f64 (+.f64 1 x) B)) (.f64 -1/6 B))
(/.f64 (+.f64 (.f64 F (/.f64 -1 F)) (.f64 -1 x)) B)
(+.f64 (neg.f64 (/.f64 x B)) (*.f64 (/.f64 F B) (/.f64 -1 F)))
(+.f64 (.f64 -1 (/.f64 (+.f64 1 x) B)) (.f64 1/3 (*.f64 B x)))
(.f64 -1 (/.f64 (+.f64 (.f64 1/6 (*.f64 F B)) (/.f64 F B)) F))
(+.f64 (neg.f64 (/.f64 x B)) (.f64 (.f64 1/6 (*.f64 F B)) (/.f64 -1 F)))
(+.f64 (neg.f64 (.f64 x (/.f64 1 B))) (.f64 (/.f64 F B) (/.f64 -1 F)))
(/.f64 (+.f64 (+.f64 1 (/.f64 (-.f64 -1 x) (.f64 F F))) (.f64 -1 x)) B)
(+.f64 (/.f64 (-.f64 -1 x) (.f64 F (.f64 F B))) (/.f64 (-.f64 1 x) B))
(+.f64 (.f64 (-.f64 (.f64 1/3 x) 1/6) B) (*.f64 -1 (/.f64 (+.f64 1 x) B)))
(-.f64 (+.f64 (.f64 (-.f64 (.f64 1/3 x) 1/6) B) (*.f64 -1 (/.f64 x B))) (/.f64 1 B))
(+.f64 (neg.f64 (/.f64 x B)) (.f64 (+.f64 (.f64 1/6 (*.f64 F B)) (/.f64 F B)) (/.f64 -1 F)))
(/.f64 -1 (sin.f64 B))
(/.f64 1 (sin.f64 B))
(*.f64 (/.f64 F B) (sqrt.f64 1/2))
(/.f64 (*.f64 (sqrt.f64 1/2) F) B)
(-.f64 (/.f64 -1 B) (/.f64 x (tan.f64 B)))
(-.f64 (+.f64 1 (/.f64 -1 (sin.f64 B))) 1)
(fma.f64 B (*.f64 x 1/3) (/.f64 (-.f64 -1 x) B))
(-.f64 (/.f64 1 (*.f64 (pow.f64 F 2) B)) (/.f64 1 B))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 -1 B))
(-.f64 (/.f64 F (*.f64 F (neg.f64 B))) (/.f64 x (tan.f64 B)))
(-.f64 (/.f64 F (*.f64 (sin.f64 B) (neg.f64 F))) (/.f64 x B))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 -1 B))
(/.f64 (+.f64 (.f64 F (sqrt.f64 (/.f64 1/2 x))) (.f64 -1 x)) B)
(+.f64 (neg.f64 (/.f64 x (tan.f64 B))) (*.f64 (/.f64 F B) (/.f64 -1 F)))
(+.f64 (neg.f64 (/.f64 x B)) (/.f64 -1 (*.f64 (/.f64 (sin.f64 B) F) F)))
(+.f64 (neg.f64 (/.f64 x B)) (/.f64 (/.f64 -1 F) (/.f64 (sin.f64 B) F)))
(+.f64 (neg.f64 (/.f64 x B)) (*.f64 (/.f64 F (sin.f64 B)) (/.f64 -1 F)))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 (/.f64 (neg.f64 F) B) F))
(/.f64 (+.f64 (.f64 F (sqrt.f64 (/.f64 1 (.f64 F F)))) (*.f64 -1 x)) B)
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 (/.f64 -1 F) (/.f64 B F)))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 F (/.f64 B (/.f64 -1 F))))
(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (*.f64 (/.f64 F B) (/.f64 -1 F)))
(+.f64 (neg.f64 (/.f64 x B)) (.f64 (.f64 (/.f64 1 (sin.f64 B)) F) (/.f64 -1 F)))
(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (.f64 (/.f64 F B) (/.f64 -1 F)))
(/.f64 (+.f64 (.f64 F (sqrt.f64 (/.f64 1 (+.f64 (.f64 2 x) 2)))) (*.f64 -1 x)) B)
(+.f64 (.f64 1/2 (/.f64 (fma.f64 2 x 2) (.f64 F (*.f64 F B)))) (/.f64 (-.f64 -1 x) B))
(+.f64 (.f64 -1 (/.f64 x B)) (.f64 (/.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 2 x) 2)))))
(/.f64 (+.f64 (-.f64 (.f64 1/2 (/.f64 (+.f64 2 (.f64 2 x)) (pow.f64 F 2))) 1) (*.f64 -1 x)) B)
(-.f64 (+.f64 (.f64 -1 (/.f64 x B)) (.f64 1/2 (/.f64 (+.f64 2 (.f64 2 x)) (.f64 (pow.f64 F 2) B)))) (/.f64 1 B))
(*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B)))
(*.f64 x (neg.f64 (/.f64 (cos.f64 B) (sin.f64 B))))
(/.f64 (neg.f64 x) (/.f64 (sin.f64 B) (cos.f64 B)))
(/.f64 (*.f64 x (neg.f64 (cos.f64 B))) (sin.f64 B))
(/.f64 (/.f64 F (sqrt.f64 (fma.f64 F F 2))) B)
(-.f64 (/.f64 -1 (sin.f64 B)) (/.f64 x (tan.f64 B)))
(*.f64 (sqrt.f64 (/.f64 1 (fma.f64 F F 2))) (/.f64 F B))
(.f64 (+.f64 (.f64 (cos.f64 B) x) 1) (/.f64 -1 (sin.f64 B)))
(-.f64 (/.f64 F (*.f64 (sin.f64 B) (neg.f64 F))) (/.f64 x (tan.f64 B)))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 (sin.f64 B)))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 (sin.f64 B)))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 -1 (sin.f64 B)))
(-.f64 (*.f64 (/.f64 F (sin.f64 B)) (/.f64 1 F)) (/.f64 x (tan.f64 B)))
(/.f64 (fma.f64 (/.f64 (neg.f64 F) (sin.f64 B)) B (.f64 F (neg.f64 x))) (.f64 F B))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 (/.f64 -1 F) (/.f64 (sin.f64 B) F)))
(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (*.f64 (/.f64 F (sin.f64 B)) (/.f64 -1 F)))
(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 -1 (.f64 (/.f64 (sin.f64 B) F) F)))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 F (/.f64 (sin.f64 B) (/.f64 -1 F))))
(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (.f64 (/.f64 F (sin.f64 B)) (/.f64 -1 F)))
(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (.f64 (/.f64 F (sin.f64 B)) (/.f64 1 F)))
(+.f64 (neg.f64 (/.f64 x B)) (/.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 2 (.f64 2 x)))) F) (sin.f64 B)))
(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 (/.f64 (sin.f64 B) (.f64 F (/.f64 -1 F)))))
(-.f64 (/.f64 F (+.f64 (.f64 1/6 (.f64 F (pow.f64 B 3))) (.f64 -1 (.f64 F B)))) (/.f64 x (tan.f64 B)))
(/.f64 (+.f64 (.f64 F (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x)))))) (*.f64 -1 x)) B)
(+.f64 (neg.f64 (/.f64 x B)) (.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (.f64 F F) 2) (*.f64 2 x)) (neg.f64 (/.f64 1 2)))))
(cbrt.f64 (pow.f64 (/.f64 -1 (sin.f64 B)) 3))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (/.f64 (sin.f64 B) (cos.f64 B))))
(fma.f64 (/.f64 F (sin.f64 B)) (/.f64 -1 F) (/.f64 (neg.f64 x) (tan.f64 B)))
(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (.f64 F (/.f64 (sqrt.f64 1/2) (sin.f64 B))))
(+.f64 (neg.f64 (/.f64 (sqrt.f64 x) (/.f64 (tan.f64 B) (sqrt.f64 x)))) (*.f64 (/.f64 F B) (/.f64 -1 F)))
(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (+.f64 0 (/.f64 F (.f64 (sqrt.f64 (+.f64 2 (*.f64 2 x))) (sin.f64 B)))))

Outputs

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

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

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

Calls

3 calls:

223.0ms	B
115.0ms	x
108.0ms	F

Results

Error	Segments	Branch
0.4b	3	`F`
15.4b	5	`B`
14.5b	3	`x`

Compiler

Compiled 1061 to 573 computations (46% saved)

bsearch1.0s (2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
558.0ms	5.1238078098553385e-12	291.1048724794787
460.0ms	-12732480.094326213	-234.86985118947297

Compiler

Compiled 642 to 488 computations (24% saved)

regimes934.0ms (1.8%)

Counts

82 → 5

Calls

Call 1

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

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

Calls

3 calls:

511.0ms	B
216.0ms	F
137.0ms	x

Results

Error	Segments	Branch
5.5b	5	`F`
16.0b	7	`B`
14.5b	3	`x`

Compiler

Compiled 1008 to 542 computations (46.2% saved)

bsearch2.1s (4.2%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
721.0ms	5.1238078098553385e-12	291.1048724794787
525.0ms	1.5841609243488616e-163	2.6462888852168137e-162
519.0ms	-4.6418320119768704e-114	-8.56663172675031e-117
365.0ms	-4.245170566130805e-25	-7.132119530588156e-26

Compiler

Compiled 1238 to 928 computations (25% saved)

regimes963.0ms (1.9%)

Counts

80 → 5

Calls

Call 1

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

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

Calls

3 calls:

475.0ms	B
264.0ms	F
198.0ms	x

Results

Error	Segments	Branch
5.5b	5	`F`
16.0b	7	`B`
14.5b	3	`x`

Compiler

Compiled 983 to 534 computations (45.7% saved)

bsearch1.8s (3.6%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
616.0ms	5.1238078098553385e-12	291.1048724794787
463.0ms	1.5841609243488616e-163	2.6462888852168137e-162
401.0ms	-4.6418320119768704e-114	-8.56663172675031e-117
315.0ms	-4.245170566130805e-25	-7.132119530588156e-26

Compiler

Compiled 1238 to 948 computations (23.4% saved)

regimes713.0ms (1.4%)

Counts

78 → 5

Calls

Call 1

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

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

Calls

3 calls:

271.0ms	B
202.0ms	x
180.0ms	F

Results

Error	Segments	Branch
5.5b	5	`F`
16.9b	7	`B`
20.3b	6	`x`

Compiler

Compiled 952 to 517 computations (45.7% saved)

bsearch1.7s (3.3%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
505.0ms	5.1238078098553385e-12	291.1048724794787
360.0ms	1.5841609243488616e-163	2.6462888852168137e-162
463.0ms	-4.6418320119768704e-114	-8.56663172675031e-117
337.0ms	-4.245170566130805e-25	-7.132119530588156e-26

Compiler

Compiled 1136 to 880 computations (22.5% saved)

regimes506.0ms (1%)

Counts

74 → 4

Calls

Call 1

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

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

Calls

3 calls:

204.0ms	x
151.0ms	B
126.0ms	F

Results

Error	Segments	Branch
10.2b	4	`F`
26.2b	5	`B`
24.0b	7	`x`

Compiler

Compiled 876 to 471 computations (46.2% saved)

bsearch1.0s (2%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
347.0ms	1.3211165003240633e-13	5.1238078098553385e-12
387.0ms	1.0147237256867375e-129	1.938418524095223e-125
289.0ms	-7.132119530588156e-26	-9.754977952636598e-27

Compiler

Compiled 724 to 560 computations (22.7% saved)

regimes465.0ms (0.9%)

Counts

63 → 4

Calls

Call 1

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

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

Calls

3 calls:

187.0ms	x
131.0ms	F
127.0ms	B

Results

Error	Segments	Branch
16.2b	4	`F`
26.2b	5	`B`
24.0b	7	`x`

Compiler

Compiled 716 to 395 computations (44.8% saved)

bsearch999.0ms (2%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
332.0ms	1.3211165003240633e-13	5.1238078098553385e-12
383.0ms	1.0147237256867375e-129	1.938418524095223e-125
284.0ms	-7.132119530588156e-26	-9.754977952636598e-27

Compiler

Compiled 668 to 518 computations (22.5% saved)

regimes420.0ms (0.8%)

Counts

59 → 4

Calls

Call 1

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

Outputs
(-.f64 (/.f64 F (*.f64 (sin.f64 B) (neg.f64 F))) (/.f64 x B))
(/.f64 (*.f64 x (neg.f64 (cos.f64 B))) (sin.f64 B))
(+.f64 (.f64 -1 (/.f64 x B)) (.f64 (/.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 2 x) 2)))))
(/.f64 1 (sin.f64 B))

Calls

3 calls:

164.0ms	x
121.0ms	F
117.0ms	B

Results

Error	Segments	Branch
21.0b	4	`F`
28.4b	5	`B`
24.0b	7	`x`

Compiler

Compiled 673 to 379 computations (43.7% saved)

bsearch1.2s (2.4%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
333.0ms	1.3211165003240633e-13	5.1238078098553385e-12
376.0ms	1.0147237256867375e-129	1.938418524095223e-125
482.0ms	-12732480.094326213	-234.86985118947297

Compiler

Compiled 734 to 556 computations (24.3% saved)

regimes430.0ms (0.9%)

Counts

57 → 4

Calls

Call 1

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

Outputs
(-.f64 (/.f64 F (*.f64 (sin.f64 B) (neg.f64 F))) (/.f64 x B))
(/.f64 (neg.f64 x) (/.f64 (sin.f64 B) (cos.f64 B)))
(+.f64 (.f64 -1 (/.f64 x B)) (.f64 (/.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 2 x) 2)))))
(/.f64 1 (sin.f64 B))

Calls

3 calls:

182.0ms	x
117.0ms	F
113.0ms	B

Results

Error	Segments	Branch
21.0b	4	`F`
28.4b	5	`B`
24.0b	8	`x`

Compiler

Compiled 656 to 371 computations (43.4% saved)

bsearch1.5s (3%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
409.0ms	1.3211165003240633e-13	5.1238078098553385e-12
518.0ms	1.0147237256867375e-129	1.938418524095223e-125
602.0ms	-12732480.094326213	-234.86985118947297

Compiler

Compiled 734 to 556 computations (24.3% saved)

regimes534.0ms (1.1%)

Counts

56 → 4

Calls

Call 1

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

Outputs
(-.f64 (/.f64 F (*.f64 (sin.f64 B) (neg.f64 F))) (/.f64 x B))
(*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B)))
(+.f64 (.f64 -1 (/.f64 x B)) (.f64 (/.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 2 x) 2)))))
(/.f64 1 (sin.f64 B))

Calls

3 calls:

236.0ms	x
126.0ms	F
117.0ms	B

Results

Error	Segments	Branch
21.1b	4	`F`
28.4b	5	`B`
24.1b	8	`x`

Compiler

Compiled 648 to 369 computations (43.1% saved)

bsearch1.3s (2.6%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
397.0ms	1.3211165003240633e-13	5.1238078098553385e-12
447.0ms	1.0147237256867375e-129	1.938418524095223e-125
491.0ms	-12732480.094326213	-234.86985118947297

Compiler

Compiled 734 to 556 computations (24.3% saved)

regimes456.0ms (0.9%)

Counts

54 → 5

Calls

Call 1

Inputs
(/.f64 1 B)
(/.f64 -1 B)
(/.f64 (neg.f64 x) B)
(/.f64 (-.f64 -1 x) B)
(/.f64 (-.f64 1 x) B)
(/.f64 (-.f64 -1 x) B)
(*.f64 (/.f64 -1 F) (/.f64 F B))
(*.f64 (/.f64 1 F) (/.f64 F B))
(-.f64 (*.f64 -1/6 B) (/.f64 1 B))
(+.f64 (neg.f64 (/.f64 x B)) (*.f64 B -1/6))
(+.f64 (/.f64 (/.f64 1 F) (*.f64 F B)) (/.f64 -1 B))
(+.f64 (/.f64 1 B) (/.f64 -1 (.f64 F (.f64 F B))))
(/.f64 (+.f64 (.f64 F (/.f64 1 F)) (.f64 -1 x)) B)
(+.f64 (.f64 -1 (/.f64 (+.f64 1 x) B)) (.f64 -1/6 B))
(/.f64 (+.f64 (.f64 F (/.f64 -1 F)) (.f64 -1 x)) B)
(+.f64 (neg.f64 (/.f64 x B)) (*.f64 (/.f64 F B) (/.f64 -1 F)))
(+.f64 (.f64 -1 (/.f64 (+.f64 1 x) B)) (.f64 1/3 (*.f64 B x)))
(.f64 -1 (/.f64 (+.f64 (.f64 1/6 (*.f64 F B)) (/.f64 F B)) F))
(+.f64 (neg.f64 (/.f64 x B)) (.f64 (.f64 1/6 (*.f64 F B)) (/.f64 -1 F)))
(+.f64 (neg.f64 (.f64 x (/.f64 1 B))) (.f64 (/.f64 F B) (/.f64 -1 F)))
(/.f64 (+.f64 (+.f64 1 (/.f64 (-.f64 -1 x) (.f64 F F))) (.f64 -1 x)) B)
(+.f64 (/.f64 (-.f64 -1 x) (.f64 F (.f64 F B))) (/.f64 (-.f64 1 x) B))
(+.f64 (.f64 (-.f64 (.f64 1/3 x) 1/6) B) (*.f64 -1 (/.f64 (+.f64 1 x) B)))
(-.f64 (+.f64 (.f64 (-.f64 (.f64 1/3 x) 1/6) B) (*.f64 -1 (/.f64 x B))) (/.f64 1 B))
(+.f64 (neg.f64 (/.f64 x B)) (.f64 (+.f64 (.f64 1/6 (*.f64 F B)) (/.f64 F B)) (/.f64 -1 F)))
(/.f64 -1 (sin.f64 B))
(/.f64 1 (sin.f64 B))
(*.f64 (/.f64 F B) (sqrt.f64 1/2))
(/.f64 (*.f64 (sqrt.f64 1/2) F) B)
(-.f64 (/.f64 -1 B) (/.f64 x (tan.f64 B)))
(-.f64 (+.f64 1 (/.f64 -1 (sin.f64 B))) 1)
(fma.f64 B (*.f64 x 1/3) (/.f64 (-.f64 -1 x) B))
(-.f64 (/.f64 1 (*.f64 (pow.f64 F 2) B)) (/.f64 1 B))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 -1 B))
(-.f64 (/.f64 F (*.f64 F (neg.f64 B))) (/.f64 x (tan.f64 B)))
(-.f64 (/.f64 F (*.f64 (sin.f64 B) (neg.f64 F))) (/.f64 x B))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 -1 B))
(/.f64 (+.f64 (.f64 F (sqrt.f64 (/.f64 1/2 x))) (.f64 -1 x)) B)
(+.f64 (neg.f64 (/.f64 x (tan.f64 B))) (*.f64 (/.f64 F B) (/.f64 -1 F)))
(+.f64 (neg.f64 (/.f64 x B)) (/.f64 -1 (*.f64 (/.f64 (sin.f64 B) F) F)))
(+.f64 (neg.f64 (/.f64 x B)) (/.f64 (/.f64 -1 F) (/.f64 (sin.f64 B) F)))
(+.f64 (neg.f64 (/.f64 x B)) (*.f64 (/.f64 F (sin.f64 B)) (/.f64 -1 F)))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 (/.f64 (neg.f64 F) B) F))
(/.f64 (+.f64 (.f64 F (sqrt.f64 (/.f64 1 (.f64 F F)))) (*.f64 -1 x)) B)
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 (/.f64 -1 F) (/.f64 B F)))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 F (/.f64 B (/.f64 -1 F))))
(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (*.f64 (/.f64 F B) (/.f64 -1 F)))
(+.f64 (neg.f64 (/.f64 x B)) (.f64 (.f64 (/.f64 1 (sin.f64 B)) F) (/.f64 -1 F)))
(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (.f64 (/.f64 F B) (/.f64 -1 F)))
(/.f64 (+.f64 (.f64 F (sqrt.f64 (/.f64 1 (+.f64 (.f64 2 x) 2)))) (*.f64 -1 x)) B)
(+.f64 (.f64 1/2 (/.f64 (fma.f64 2 x 2) (.f64 F (*.f64 F B)))) (/.f64 (-.f64 -1 x) B))
(+.f64 (.f64 -1 (/.f64 x B)) (.f64 (/.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 2 x) 2)))))
(/.f64 (+.f64 (-.f64 (.f64 1/2 (/.f64 (+.f64 2 (.f64 2 x)) (pow.f64 F 2))) 1) (*.f64 -1 x)) B)
(-.f64 (+.f64 (.f64 -1 (/.f64 x B)) (.f64 1/2 (/.f64 (+.f64 2 (.f64 2 x)) (.f64 (pow.f64 F 2) B)))) (/.f64 1 B))

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

Calls

3 calls:

162.0ms	x
140.0ms	F
137.0ms	B

Results

Error	Segments	Branch
23.6b	5	`F`
28.4b	5	`B`
24.9b	7	`x`

Compiler

Compiled 632 to 364 computations (42.4% saved)

bsearch1.7s (3.3%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
435.0ms	1.3211165003240633e-13	5.1238078098553385e-12
428.0ms	6.3143532351563015e-161	1.0097309059553245e-156
374.0ms	1.8526024302567654e-256	1.7350762536824637e-255
451.0ms	-1.8476261712775918e-131	-2.3877512109049102e-135

Compiler

Compiled 1064 to 824 computations (22.6% saved)

regimes409.0ms (0.8%)

Counts

51 → 5

Calls

Call 1

Inputs
(/.f64 1 B)
(/.f64 -1 B)
(/.f64 (neg.f64 x) B)
(/.f64 (-.f64 -1 x) B)
(/.f64 (-.f64 1 x) B)
(/.f64 (-.f64 -1 x) B)
(*.f64 (/.f64 -1 F) (/.f64 F B))
(*.f64 (/.f64 1 F) (/.f64 F B))
(-.f64 (*.f64 -1/6 B) (/.f64 1 B))
(+.f64 (neg.f64 (/.f64 x B)) (*.f64 B -1/6))
(+.f64 (/.f64 (/.f64 1 F) (*.f64 F B)) (/.f64 -1 B))
(+.f64 (/.f64 1 B) (/.f64 -1 (.f64 F (.f64 F B))))
(/.f64 (+.f64 (.f64 F (/.f64 1 F)) (.f64 -1 x)) B)
(+.f64 (.f64 -1 (/.f64 (+.f64 1 x) B)) (.f64 -1/6 B))
(/.f64 (+.f64 (.f64 F (/.f64 -1 F)) (.f64 -1 x)) B)
(+.f64 (neg.f64 (/.f64 x B)) (*.f64 (/.f64 F B) (/.f64 -1 F)))
(+.f64 (.f64 -1 (/.f64 (+.f64 1 x) B)) (.f64 1/3 (*.f64 B x)))
(.f64 -1 (/.f64 (+.f64 (.f64 1/6 (*.f64 F B)) (/.f64 F B)) F))
(+.f64 (neg.f64 (/.f64 x B)) (.f64 (.f64 1/6 (*.f64 F B)) (/.f64 -1 F)))
(+.f64 (neg.f64 (.f64 x (/.f64 1 B))) (.f64 (/.f64 F B) (/.f64 -1 F)))
(/.f64 (+.f64 (+.f64 1 (/.f64 (-.f64 -1 x) (.f64 F F))) (.f64 -1 x)) B)
(+.f64 (/.f64 (-.f64 -1 x) (.f64 F (.f64 F B))) (/.f64 (-.f64 1 x) B))
(+.f64 (.f64 (-.f64 (.f64 1/3 x) 1/6) B) (*.f64 -1 (/.f64 (+.f64 1 x) B)))
(-.f64 (+.f64 (.f64 (-.f64 (.f64 1/3 x) 1/6) B) (*.f64 -1 (/.f64 x B))) (/.f64 1 B))
(+.f64 (neg.f64 (/.f64 x B)) (.f64 (+.f64 (.f64 1/6 (*.f64 F B)) (/.f64 F B)) (/.f64 -1 F)))
(/.f64 -1 (sin.f64 B))
(/.f64 1 (sin.f64 B))
(*.f64 (/.f64 F B) (sqrt.f64 1/2))
(/.f64 (*.f64 (sqrt.f64 1/2) F) B)
(-.f64 (/.f64 -1 B) (/.f64 x (tan.f64 B)))
(-.f64 (+.f64 1 (/.f64 -1 (sin.f64 B))) 1)
(fma.f64 B (*.f64 x 1/3) (/.f64 (-.f64 -1 x) B))
(-.f64 (/.f64 1 (*.f64 (pow.f64 F 2) B)) (/.f64 1 B))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 -1 B))
(-.f64 (/.f64 F (*.f64 F (neg.f64 B))) (/.f64 x (tan.f64 B)))
(-.f64 (/.f64 F (*.f64 (sin.f64 B) (neg.f64 F))) (/.f64 x B))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 -1 B))
(/.f64 (+.f64 (.f64 F (sqrt.f64 (/.f64 1/2 x))) (.f64 -1 x)) B)
(+.f64 (neg.f64 (/.f64 x (tan.f64 B))) (*.f64 (/.f64 F B) (/.f64 -1 F)))
(+.f64 (neg.f64 (/.f64 x B)) (/.f64 -1 (*.f64 (/.f64 (sin.f64 B) F) F)))
(+.f64 (neg.f64 (/.f64 x B)) (/.f64 (/.f64 -1 F) (/.f64 (sin.f64 B) F)))
(+.f64 (neg.f64 (/.f64 x B)) (*.f64 (/.f64 F (sin.f64 B)) (/.f64 -1 F)))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 (/.f64 (neg.f64 F) B) F))
(/.f64 (+.f64 (.f64 F (sqrt.f64 (/.f64 1 (.f64 F F)))) (*.f64 -1 x)) B)
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 (/.f64 -1 F) (/.f64 B F)))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 F (/.f64 B (/.f64 -1 F))))
(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (*.f64 (/.f64 F B) (/.f64 -1 F)))
(+.f64 (neg.f64 (/.f64 x B)) (.f64 (.f64 (/.f64 1 (sin.f64 B)) F) (/.f64 -1 F)))
(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (.f64 (/.f64 F B) (/.f64 -1 F)))
(/.f64 (+.f64 (.f64 F (sqrt.f64 (/.f64 1 (+.f64 (.f64 2 x) 2)))) (*.f64 -1 x)) B)
(+.f64 (.f64 1/2 (/.f64 (fma.f64 2 x 2) (.f64 F (*.f64 F B)))) (/.f64 (-.f64 -1 x) B))

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

Calls

3 calls:

163.0ms	x
126.0ms	F
104.0ms	B

Results

Error	Segments	Branch
23.6b	5	`F`
28.4b	5	`B`
24.9b	7	`x`

Compiler

Compiled 572 to 322 computations (43.7% saved)

bsearch1.4s (2.8%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
330.0ms	1.3211165003240633e-13	5.1238078098553385e-12
378.0ms	6.3143532351563015e-161	1.0097309059553245e-156
288.0ms	1.8526024302567654e-256	1.7350762536824637e-255
409.0ms	-1.8476261712775918e-131	-2.3877512109049102e-135

Compiler

Compiled 1034 to 809 computations (21.8% saved)

regimes347.0ms (0.7%)

Counts

49 → 7

Calls

Call 1

Inputs
(/.f64 1 B)
(/.f64 -1 B)
(/.f64 (neg.f64 x) B)
(/.f64 (-.f64 -1 x) B)
(/.f64 (-.f64 1 x) B)
(/.f64 (-.f64 -1 x) B)
(*.f64 (/.f64 -1 F) (/.f64 F B))
(*.f64 (/.f64 1 F) (/.f64 F B))
(-.f64 (*.f64 -1/6 B) (/.f64 1 B))
(+.f64 (neg.f64 (/.f64 x B)) (*.f64 B -1/6))
(+.f64 (/.f64 (/.f64 1 F) (*.f64 F B)) (/.f64 -1 B))
(+.f64 (/.f64 1 B) (/.f64 -1 (.f64 F (.f64 F B))))
(/.f64 (+.f64 (.f64 F (/.f64 1 F)) (.f64 -1 x)) B)
(+.f64 (.f64 -1 (/.f64 (+.f64 1 x) B)) (.f64 -1/6 B))
(/.f64 (+.f64 (.f64 F (/.f64 -1 F)) (.f64 -1 x)) B)
(+.f64 (neg.f64 (/.f64 x B)) (*.f64 (/.f64 F B) (/.f64 -1 F)))
(+.f64 (.f64 -1 (/.f64 (+.f64 1 x) B)) (.f64 1/3 (*.f64 B x)))
(.f64 -1 (/.f64 (+.f64 (.f64 1/6 (*.f64 F B)) (/.f64 F B)) F))
(+.f64 (neg.f64 (/.f64 x B)) (.f64 (.f64 1/6 (*.f64 F B)) (/.f64 -1 F)))
(+.f64 (neg.f64 (.f64 x (/.f64 1 B))) (.f64 (/.f64 F B) (/.f64 -1 F)))
(/.f64 (+.f64 (+.f64 1 (/.f64 (-.f64 -1 x) (.f64 F F))) (.f64 -1 x)) B)
(+.f64 (/.f64 (-.f64 -1 x) (.f64 F (.f64 F B))) (/.f64 (-.f64 1 x) B))
(+.f64 (.f64 (-.f64 (.f64 1/3 x) 1/6) B) (*.f64 -1 (/.f64 (+.f64 1 x) B)))
(-.f64 (+.f64 (.f64 (-.f64 (.f64 1/3 x) 1/6) B) (*.f64 -1 (/.f64 x B))) (/.f64 1 B))
(+.f64 (neg.f64 (/.f64 x B)) (.f64 (+.f64 (.f64 1/6 (*.f64 F B)) (/.f64 F B)) (/.f64 -1 F)))
(/.f64 -1 (sin.f64 B))
(/.f64 1 (sin.f64 B))
(*.f64 (/.f64 F B) (sqrt.f64 1/2))
(/.f64 (*.f64 (sqrt.f64 1/2) F) B)
(-.f64 (/.f64 -1 B) (/.f64 x (tan.f64 B)))
(-.f64 (+.f64 1 (/.f64 -1 (sin.f64 B))) 1)
(fma.f64 B (*.f64 x 1/3) (/.f64 (-.f64 -1 x) B))
(-.f64 (/.f64 1 (*.f64 (pow.f64 F 2) B)) (/.f64 1 B))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 -1 B))
(-.f64 (/.f64 F (*.f64 F (neg.f64 B))) (/.f64 x (tan.f64 B)))
(-.f64 (/.f64 F (*.f64 (sin.f64 B) (neg.f64 F))) (/.f64 x B))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 -1 B))
(/.f64 (+.f64 (.f64 F (sqrt.f64 (/.f64 1/2 x))) (.f64 -1 x)) B)
(+.f64 (neg.f64 (/.f64 x (tan.f64 B))) (*.f64 (/.f64 F B) (/.f64 -1 F)))
(+.f64 (neg.f64 (/.f64 x B)) (/.f64 -1 (*.f64 (/.f64 (sin.f64 B) F) F)))
(+.f64 (neg.f64 (/.f64 x B)) (/.f64 (/.f64 -1 F) (/.f64 (sin.f64 B) F)))
(+.f64 (neg.f64 (/.f64 x B)) (*.f64 (/.f64 F (sin.f64 B)) (/.f64 -1 F)))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 (/.f64 (neg.f64 F) B) F))
(/.f64 (+.f64 (.f64 F (sqrt.f64 (/.f64 1 (.f64 F F)))) (*.f64 -1 x)) B)
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 (/.f64 -1 F) (/.f64 B F)))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 F (/.f64 B (/.f64 -1 F))))
(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (*.f64 (/.f64 F B) (/.f64 -1 F)))
(+.f64 (neg.f64 (/.f64 x B)) (.f64 (.f64 (/.f64 1 (sin.f64 B)) F) (/.f64 -1 F)))
(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (.f64 (/.f64 F B) (/.f64 -1 F)))

Outputs
(-.f64 (/.f64 -1 B) (/.f64 x (tan.f64 B)))
(/.f64 1 (sin.f64 B))
(-.f64 (+.f64 1 (/.f64 -1 (sin.f64 B))) 1)
(*.f64 (/.f64 F B) (sqrt.f64 1/2))
(/.f64 -1 (sin.f64 B))
(+.f64 (neg.f64 (/.f64 x B)) (*.f64 B -1/6))
(-.f64 (/.f64 -1 B) (/.f64 x (tan.f64 B)))

Calls

3 calls:

136.0ms	x
100.0ms	B
98.0ms	F

Results

Error	Segments	Branch
25.8b	5	`F`
29.9b	5	`B`
25.4b	7	`x`

Compiler

Compiled 538 to 300 computations (44.2% saved)

bsearch563.0ms (1.1%)

Algorithm

6×	binary-search

Steps

Time	Left	Right
90.0ms	3.937676715662612e-12	1.0137383709752594e-11
92.0ms	2.4554554563438134e-117	3.396097753217344e-116
92.0ms	8.665335503308794e-272	1.8860287403280376e-269
107.0ms	-1.12906808814594e-223	-2.4100970885144307e-231
90.0ms	-8.800367105507675e-213	-8.513420205661152e-215
91.0ms	-4.292671720788959e-168	-3.11993164462745e-176

Compiler

Compiled 36 to 28 computations (22.2% saved)

regimes276.0ms (0.5%)

Counts

30 → 7

Calls

Call 1

Inputs
(/.f64 1 B)
(/.f64 -1 B)
(/.f64 (neg.f64 x) B)
(/.f64 (-.f64 -1 x) B)
(/.f64 (-.f64 1 x) B)
(/.f64 (-.f64 -1 x) B)
(*.f64 (/.f64 -1 F) (/.f64 F B))
(*.f64 (/.f64 1 F) (/.f64 F B))
(-.f64 (*.f64 -1/6 B) (/.f64 1 B))
(+.f64 (neg.f64 (/.f64 x B)) (*.f64 B -1/6))
(+.f64 (/.f64 (/.f64 1 F) (*.f64 F B)) (/.f64 -1 B))
(+.f64 (/.f64 1 B) (/.f64 -1 (.f64 F (.f64 F B))))
(/.f64 (+.f64 (.f64 F (/.f64 1 F)) (.f64 -1 x)) B)
(+.f64 (.f64 -1 (/.f64 (+.f64 1 x) B)) (.f64 -1/6 B))
(/.f64 (+.f64 (.f64 F (/.f64 -1 F)) (.f64 -1 x)) B)
(+.f64 (neg.f64 (/.f64 x B)) (*.f64 (/.f64 F B) (/.f64 -1 F)))
(+.f64 (.f64 -1 (/.f64 (+.f64 1 x) B)) (.f64 1/3 (*.f64 B x)))
(.f64 -1 (/.f64 (+.f64 (.f64 1/6 (*.f64 F B)) (/.f64 F B)) F))
(+.f64 (neg.f64 (/.f64 x B)) (.f64 (.f64 1/6 (*.f64 F B)) (/.f64 -1 F)))
(+.f64 (neg.f64 (.f64 x (/.f64 1 B))) (.f64 (/.f64 F B) (/.f64 -1 F)))
(/.f64 (+.f64 (+.f64 1 (/.f64 (-.f64 -1 x) (.f64 F F))) (.f64 -1 x)) B)
(+.f64 (/.f64 (-.f64 -1 x) (.f64 F (.f64 F B))) (/.f64 (-.f64 1 x) B))
(+.f64 (.f64 (-.f64 (.f64 1/3 x) 1/6) B) (*.f64 -1 (/.f64 (+.f64 1 x) B)))
(-.f64 (+.f64 (.f64 (-.f64 (.f64 1/3 x) 1/6) B) (*.f64 -1 (/.f64 x B))) (/.f64 1 B))
(+.f64 (neg.f64 (/.f64 x B)) (.f64 (+.f64 (.f64 1/6 (*.f64 F B)) (/.f64 F B)) (/.f64 -1 F)))
(/.f64 -1 (sin.f64 B))
(/.f64 1 (sin.f64 B))
(*.f64 (/.f64 F B) (sqrt.f64 1/2))
(/.f64 (*.f64 (sqrt.f64 1/2) F) B)
(-.f64 (/.f64 -1 B) (/.f64 x (tan.f64 B)))

Outputs
(-.f64 (/.f64 -1 B) (/.f64 x (tan.f64 B)))
(/.f64 1 (sin.f64 B))
(/.f64 -1 (sin.f64 B))
(*.f64 (/.f64 F B) (sqrt.f64 1/2))
(/.f64 -1 (sin.f64 B))
(+.f64 (neg.f64 (/.f64 x B)) (*.f64 B -1/6))
(-.f64 (/.f64 -1 B) (/.f64 x (tan.f64 B)))

Calls

3 calls:

90.0ms	F
89.0ms	x
79.0ms	B

Results

Error	Segments	Branch
26.2b	5	`F`
30.2b	5	`B`
25.4b	7	`x`

Compiler

Compiled 298 to 175 computations (41.3% saved)

bsearch625.0ms (1.2%)

Algorithm

6×	binary-search

Steps

Time	Left	Right
91.0ms	3.937676715662612e-12	1.0137383709752594e-11
118.0ms	2.4554554563438134e-117	3.396097753217344e-116
99.0ms	8.665335503308794e-272	1.8860287403280376e-269
108.0ms	-1.12906808814594e-223	-2.4100970885144307e-231
109.0ms	-8.800367105507675e-213	-8.513420205661152e-215
99.0ms	-4.292671720788959e-168	-3.11993164462745e-176

Compiler

Compiled 36 to 28 computations (22.2% saved)

regimes196.0ms (0.4%)

Counts

29 → 4

Calls

Call 1

Inputs
(/.f64 1 B)
(/.f64 -1 B)
(/.f64 (neg.f64 x) B)
(/.f64 (-.f64 -1 x) B)
(/.f64 (-.f64 1 x) B)
(/.f64 (-.f64 -1 x) B)
(*.f64 (/.f64 -1 F) (/.f64 F B))
(*.f64 (/.f64 1 F) (/.f64 F B))
(-.f64 (*.f64 -1/6 B) (/.f64 1 B))
(+.f64 (neg.f64 (/.f64 x B)) (*.f64 B -1/6))
(+.f64 (/.f64 (/.f64 1 F) (*.f64 F B)) (/.f64 -1 B))
(+.f64 (/.f64 1 B) (/.f64 -1 (.f64 F (.f64 F B))))
(/.f64 (+.f64 (.f64 F (/.f64 1 F)) (.f64 -1 x)) B)
(+.f64 (.f64 -1 (/.f64 (+.f64 1 x) B)) (.f64 -1/6 B))
(/.f64 (+.f64 (.f64 F (/.f64 -1 F)) (.f64 -1 x)) B)
(+.f64 (neg.f64 (/.f64 x B)) (*.f64 (/.f64 F B) (/.f64 -1 F)))
(+.f64 (.f64 -1 (/.f64 (+.f64 1 x) B)) (.f64 1/3 (*.f64 B x)))
(.f64 -1 (/.f64 (+.f64 (.f64 1/6 (*.f64 F B)) (/.f64 F B)) F))
(+.f64 (neg.f64 (/.f64 x B)) (.f64 (.f64 1/6 (*.f64 F B)) (/.f64 -1 F)))
(+.f64 (neg.f64 (.f64 x (/.f64 1 B))) (.f64 (/.f64 F B) (/.f64 -1 F)))
(/.f64 (+.f64 (+.f64 1 (/.f64 (-.f64 -1 x) (.f64 F F))) (.f64 -1 x)) B)
(+.f64 (/.f64 (-.f64 -1 x) (.f64 F (.f64 F B))) (/.f64 (-.f64 1 x) B))
(+.f64 (.f64 (-.f64 (.f64 1/3 x) 1/6) B) (*.f64 -1 (/.f64 (+.f64 1 x) B)))
(-.f64 (+.f64 (.f64 (-.f64 (.f64 1/3 x) 1/6) B) (*.f64 -1 (/.f64 x B))) (/.f64 1 B))
(+.f64 (neg.f64 (/.f64 x B)) (.f64 (+.f64 (.f64 1/6 (*.f64 F B)) (/.f64 F B)) (/.f64 -1 F)))
(/.f64 -1 (sin.f64 B))
(/.f64 1 (sin.f64 B))
(*.f64 (/.f64 F B) (sqrt.f64 1/2))
(/.f64 (*.f64 (sqrt.f64 1/2) F) B)

Outputs
(/.f64 -1 (sin.f64 B))
(/.f64 (neg.f64 x) B)
(*.f64 (/.f64 F B) (sqrt.f64 1/2))
(/.f64 1 (sin.f64 B))

Calls

3 calls:

76.0ms	x
62.0ms	B
50.0ms	F

Results

Error	Segments	Branch
32.9b	4	`F`
41.8b	5	`B`
39.9b	5	`x`

Compiler

Compiled 290 to 170 computations (41.4% saved)

bsearch1.2s (2.5%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
396.0ms	1.3211165003240633e-13	5.1238078098553385e-12
325.0ms	2.151049354706658e-131	1.639581417700871e-130
525.0ms	-35001034066.69052	-12732480.094326213

Compiler

Compiled 398 to 321 computations (19.3% saved)

regimes228.0ms (0.5%)

Counts

27 → 3

Calls

Call 1

Inputs
(/.f64 1 B)
(/.f64 -1 B)
(/.f64 (neg.f64 x) B)
(/.f64 (-.f64 -1 x) B)
(/.f64 (-.f64 1 x) B)
(/.f64 (-.f64 -1 x) B)
(*.f64 (/.f64 -1 F) (/.f64 F B))
(*.f64 (/.f64 1 F) (/.f64 F B))
(-.f64 (*.f64 -1/6 B) (/.f64 1 B))
(+.f64 (neg.f64 (/.f64 x B)) (*.f64 B -1/6))
(+.f64 (/.f64 (/.f64 1 F) (*.f64 F B)) (/.f64 -1 B))
(+.f64 (/.f64 1 B) (/.f64 -1 (.f64 F (.f64 F B))))
(/.f64 (+.f64 (.f64 F (/.f64 1 F)) (.f64 -1 x)) B)
(+.f64 (.f64 -1 (/.f64 (+.f64 1 x) B)) (.f64 -1/6 B))
(/.f64 (+.f64 (.f64 F (/.f64 -1 F)) (.f64 -1 x)) B)
(+.f64 (neg.f64 (/.f64 x B)) (*.f64 (/.f64 F B) (/.f64 -1 F)))
(+.f64 (.f64 -1 (/.f64 (+.f64 1 x) B)) (.f64 1/3 (*.f64 B x)))
(.f64 -1 (/.f64 (+.f64 (.f64 1/6 (*.f64 F B)) (/.f64 F B)) F))
(+.f64 (neg.f64 (/.f64 x B)) (.f64 (.f64 1/6 (*.f64 F B)) (/.f64 -1 F)))
(+.f64 (neg.f64 (.f64 x (/.f64 1 B))) (.f64 (/.f64 F B) (/.f64 -1 F)))
(/.f64 (+.f64 (+.f64 1 (/.f64 (-.f64 -1 x) (.f64 F F))) (.f64 -1 x)) B)
(+.f64 (/.f64 (-.f64 -1 x) (.f64 F (.f64 F B))) (/.f64 (-.f64 1 x) B))
(+.f64 (.f64 (-.f64 (.f64 1/3 x) 1/6) B) (*.f64 -1 (/.f64 (+.f64 1 x) B)))
(-.f64 (+.f64 (.f64 (-.f64 (.f64 1/3 x) 1/6) B) (*.f64 -1 (/.f64 x B))) (/.f64 1 B))
(+.f64 (neg.f64 (/.f64 x B)) (.f64 (+.f64 (.f64 1/6 (*.f64 F B)) (/.f64 F B)) (/.f64 -1 F)))
(/.f64 -1 (sin.f64 B))
(/.f64 1 (sin.f64 B))

Outputs
(/.f64 -1 (sin.f64 B))
(/.f64 (neg.f64 x) B)
(/.f64 1 (sin.f64 B))

Calls

3 calls:

94.0ms	x
78.0ms	B
48.0ms	F

Results

Error	Segments	Branch
34.1b	3	`F`
41.8b	5	`B`
41.5b	3	`x`

Compiler

Compiled 278 to 163 computations (41.4% saved)

bsearch1.0s (2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
479.0ms	1.062793193199993e-44	7.190333433292259e-39
543.0ms	-35001034066.69052	-12732480.094326213

Compiler

Compiled 308 to 249 computations (19.2% saved)

regimes189.0ms (0.4%)

Counts

26 → 3

Calls

Call 1

Inputs
(/.f64 1 B)
(/.f64 -1 B)
(/.f64 (neg.f64 x) B)
(/.f64 (-.f64 -1 x) B)
(/.f64 (-.f64 1 x) B)
(/.f64 (-.f64 -1 x) B)
(*.f64 (/.f64 -1 F) (/.f64 F B))
(*.f64 (/.f64 1 F) (/.f64 F B))
(-.f64 (*.f64 -1/6 B) (/.f64 1 B))
(+.f64 (neg.f64 (/.f64 x B)) (*.f64 B -1/6))
(+.f64 (/.f64 (/.f64 1 F) (*.f64 F B)) (/.f64 -1 B))
(+.f64 (/.f64 1 B) (/.f64 -1 (.f64 F (.f64 F B))))
(/.f64 (+.f64 (.f64 F (/.f64 1 F)) (.f64 -1 x)) B)
(+.f64 (.f64 -1 (/.f64 (+.f64 1 x) B)) (.f64 -1/6 B))
(/.f64 (+.f64 (.f64 F (/.f64 -1 F)) (.f64 -1 x)) B)
(+.f64 (neg.f64 (/.f64 x B)) (*.f64 (/.f64 F B) (/.f64 -1 F)))
(+.f64 (.f64 -1 (/.f64 (+.f64 1 x) B)) (.f64 1/3 (*.f64 B x)))
(.f64 -1 (/.f64 (+.f64 (.f64 1/6 (*.f64 F B)) (/.f64 F B)) F))
(+.f64 (neg.f64 (/.f64 x B)) (.f64 (.f64 1/6 (*.f64 F B)) (/.f64 -1 F)))
(+.f64 (neg.f64 (.f64 x (/.f64 1 B))) (.f64 (/.f64 F B) (/.f64 -1 F)))
(/.f64 (+.f64 (+.f64 1 (/.f64 (-.f64 -1 x) (.f64 F F))) (.f64 -1 x)) B)
(+.f64 (/.f64 (-.f64 -1 x) (.f64 F (.f64 F B))) (/.f64 (-.f64 1 x) B))
(+.f64 (.f64 (-.f64 (.f64 1/3 x) 1/6) B) (*.f64 -1 (/.f64 (+.f64 1 x) B)))
(-.f64 (+.f64 (.f64 (-.f64 (.f64 1/3 x) 1/6) B) (*.f64 -1 (/.f64 x B))) (/.f64 1 B))
(+.f64 (neg.f64 (/.f64 x B)) (.f64 (+.f64 (.f64 1/6 (*.f64 F B)) (/.f64 F B)) (/.f64 -1 F)))
(/.f64 -1 (sin.f64 B))

Outputs
(/.f64 -1 (sin.f64 B))
(/.f64 (neg.f64 x) B)
(/.f64 (-.f64 1 x) B)

Calls

3 calls:

77.0ms	x
56.0ms	B
48.0ms	F

Results

Error	Segments	Branch
35.0b	3	`F`
41.8b	5	`B`
41.5b	3	`x`

Compiler

Compiled 274 to 161 computations (41.2% saved)

bsearch1.2s (2.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
507.0ms	2.13160287448387e-55	1.062793193199993e-44
727.0ms	-35001034066.69052	-12732480.094326213

Compiler

Compiled 334 to 262 computations (21.6% saved)

regimes146.0ms (0.3%)

Counts

25 → 3

Calls

Call 1

Inputs
(/.f64 1 B)
(/.f64 -1 B)
(/.f64 (neg.f64 x) B)
(/.f64 (-.f64 -1 x) B)
(/.f64 (-.f64 1 x) B)
(/.f64 (-.f64 -1 x) B)
(*.f64 (/.f64 -1 F) (/.f64 F B))
(*.f64 (/.f64 1 F) (/.f64 F B))
(-.f64 (*.f64 -1/6 B) (/.f64 1 B))
(+.f64 (neg.f64 (/.f64 x B)) (*.f64 B -1/6))
(+.f64 (/.f64 (/.f64 1 F) (*.f64 F B)) (/.f64 -1 B))
(+.f64 (/.f64 1 B) (/.f64 -1 (.f64 F (.f64 F B))))
(/.f64 (+.f64 (.f64 F (/.f64 1 F)) (.f64 -1 x)) B)
(+.f64 (.f64 -1 (/.f64 (+.f64 1 x) B)) (.f64 -1/6 B))
(/.f64 (+.f64 (.f64 F (/.f64 -1 F)) (.f64 -1 x)) B)
(+.f64 (neg.f64 (/.f64 x B)) (*.f64 (/.f64 F B) (/.f64 -1 F)))
(+.f64 (.f64 -1 (/.f64 (+.f64 1 x) B)) (.f64 1/3 (*.f64 B x)))
(.f64 -1 (/.f64 (+.f64 (.f64 1/6 (*.f64 F B)) (/.f64 F B)) F))
(+.f64 (neg.f64 (/.f64 x B)) (.f64 (.f64 1/6 (*.f64 F B)) (/.f64 -1 F)))
(+.f64 (neg.f64 (.f64 x (/.f64 1 B))) (.f64 (/.f64 F B) (/.f64 -1 F)))
(/.f64 (+.f64 (+.f64 1 (/.f64 (-.f64 -1 x) (.f64 F F))) (.f64 -1 x)) B)
(+.f64 (/.f64 (-.f64 -1 x) (.f64 F (.f64 F B))) (/.f64 (-.f64 1 x) B))
(+.f64 (.f64 (-.f64 (.f64 1/3 x) 1/6) B) (*.f64 -1 (/.f64 (+.f64 1 x) B)))
(-.f64 (+.f64 (.f64 (-.f64 (.f64 1/3 x) 1/6) B) (*.f64 -1 (/.f64 x B))) (/.f64 1 B))
(+.f64 (neg.f64 (/.f64 x B)) (.f64 (+.f64 (.f64 1/6 (*.f64 F B)) (/.f64 F B)) (/.f64 -1 F)))

Outputs
(/.f64 (-.f64 -1 x) B)
(/.f64 (neg.f64 x) B)
(/.f64 (-.f64 1 x) B)

Calls

3 calls:

55.0ms	x
51.0ms	F
33.0ms	B

Results

Error	Segments	Branch
36.7b	3	`F`
46.4b	3	`B`
44.6b	4	`x`

Compiler

Compiled 270 to 158 computations (41.5% saved)

bsearch1.1s (2.1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
516.0ms	2.13160287448387e-55	1.062793193199993e-44
565.0ms	-1.2559616766169903e-12	-5.250556634500769e-23

Compiler

Compiled 376 to 288 computations (23.4% saved)

regimes46.0ms (0.1%)

Counts

4 → 3

Calls

Call 1

Inputs
(/.f64 1 B)
(/.f64 -1 B)
(/.f64 (neg.f64 x) B)
(/.f64 (-.f64 -1 x) B)

Outputs
(/.f64 (-.f64 -1 x) B)
(/.f64 (neg.f64 x) B)
(/.f64 1 B)

Calls

3 calls:

18.0ms	x
15.0ms	F
11.0ms	B

Results

Error	Segments	Branch
39.4b	3	`F`
46.4b	3	`B`
44.6b	4	`x`

Compiler

Compiled 30 to 21 computations (30% saved)

bsearch987.0ms (2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
471.0ms	1.062793193199993e-44	7.190333433292259e-39
515.0ms	-1.2559616766169903e-12	-5.250556634500769e-23

Compiler

Compiled 341 to 266 computations (22% saved)

regimes40.0ms (0.1%)

Counts

3 → 3

Calls

Call 1

Inputs
(/.f64 1 B)
(/.f64 -1 B)
(/.f64 (neg.f64 x) B)

Outputs
(/.f64 -1 B)
(/.f64 (neg.f64 x) B)
(/.f64 1 B)

Calls

3 calls:

22.0ms	x
13.0ms	F
4.0ms	B

Results

Error	Segments	Branch
42.5b	3	`F`
48.9b	1	`B`
43.8b	5	`x`

Compiler

Compiled 25 to 18 computations (28% saved)

bsearch1.0s (2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
660.0ms	1.062793193199993e-44	7.190333433292259e-39
349.0ms	-129650747714.57887	-35001034066.69052

Compiler

Compiled 246 to 196 computations (20.3% saved)

regimes21.0ms (0%)

Accuracy

Total -13.1b remaining (-26.2%)

Threshold costs -13.1b (-26.2%)

Counts

2 → 2

Calls

Call 1

Inputs
(/.f64 1 B)
(/.f64 -1 B)

Outputs
(/.f64 -1 B)
(/.f64 1 B)

Calls

3 calls:

9.0ms	B
8.0ms	F
3.0ms	x

Results

Error	Segments	Branch
49.9b	2	`F`
54.3b	3	`B`
55.3b	1	`x`

Compiler

Compiled 21 to 16 computations (23.8% saved)

bsearch549.0ms (1.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
549.0ms	6.286355250074334e-149	2.151049354706658e-131

Compiler

Compiled 176 to 148 computations (15.9% saved)

simplify100.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

37×	`+-commutative_binary64`
31×	`*-commutative_binary64`
22×	`sub-neg_binary64`
15×	`neg-sub0_binary64`
15×	`neg-mul-1_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	215	1811
1	285	1761
2	342	1761
3	371	1761
4	383	1761
5	386	1761

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 F -750000000000000) (-.f64 (/.f64 -1 (sin.f64 B)) (/.f64 x (tan.f64 B))) (if (<=.f64 F 47000000) (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 1 (sin.f64 B)) (/.f64 x (/.f64 (sin.f64 B) (cos.f64 B))))))
(if (<=.f64 F -750000000000000) (-.f64 (/.f64 -1 (sin.f64 B)) (/.f64 x (tan.f64 B))) (if (<=.f64 F 47000000) (+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (.f64 F F) 2) (*.f64 2 x)) (neg.f64 (/.f64 1 2))))) (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (/.f64 (sin.f64 B) (cos.f64 B))))))
(if (<=.f64 F -240) (-.f64 (/.f64 -1 (sin.f64 B)) (/.f64 x (tan.f64 B))) (if (<=.f64 F 6437288204283977/1237940039285380274899124224) (+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 2 x) 2))))) (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (/.f64 (sin.f64 B) (cos.f64 B))))))
(if (<=.f64 F -240) (-.f64 (/.f64 -1 (sin.f64 B)) (/.f64 x (tan.f64 B))) (if (<=.f64 F 6437288204283977/1237940039285380274899124224) (+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 2 (*.f64 2 x)))) F) (sin.f64 B))) (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (/.f64 (sin.f64 B) (cos.f64 B))))))
(if (<=.f64 F -240) (-.f64 (/.f64 -1 (sin.f64 B)) (/.f64 x (tan.f64 B))) (if (<=.f64 F 6530219459687219/4503599627370496) (+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (.f64 F (/.f64 (sqrt.f64 1/2) (sin.f64 B)))) (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (/.f64 (sin.f64 B) (cos.f64 B))))))
(if (<=.f64 F -3136042293543369/43556142965880123323311949751266331066368) (-.f64 (/.f64 -1 (sin.f64 B)) (/.f64 x (tan.f64 B))) (if (<=.f64 F -3188570148238937/693167423530203714894603546035770925859109268843954143792619895153655326951406405759993601526034894524347802740350892957243539456) (+.f64 (neg.f64 (/.f64 x B)) (/.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 2 (.f64 2 x)))) F) (sin.f64 B))) (if (<=.f64 F 1316984921763987/506532662216918085755909163048237445191949002959281848144001138878253517018177263964807989373425756138696031080481053366991595590260226478013534525648677207893210669360535830528) (/.f64 (.f64 x (neg.f64 (cos.f64 B))) (sin.f64 B)) (if (<=.f64 F 6437288204283977/1237940039285380274899124224) (+.f64 (neg.f64 (/.f64 x 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 1 (sin.f64 B)) (/.f64 x (/.f64 (sin.f64 B) (cos.f64 B))))))))
(if (<=.f64 F -3136042293543369/43556142965880123323311949751266331066368) (-.f64 (/.f64 -1 (sin.f64 B)) (/.f64 x (tan.f64 B))) (if (<=.f64 F -3188570148238937/693167423530203714894603546035770925859109268843954143792619895153655326951406405759993601526034894524347802740350892957243539456) (+.f64 (neg.f64 (/.f64 x B)) (/.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 2 (.f64 2 x)))) F) (sin.f64 B))) (if (<=.f64 F 1316984921763987/506532662216918085755909163048237445191949002959281848144001138878253517018177263964807989373425756138696031080481053366991595590260226478013534525648677207893210669360535830528) (/.f64 (.f64 x (neg.f64 (cos.f64 B))) (sin.f64 B)) (if (<=.f64 F 6437288204283977/1237940039285380274899124224) (+.f64 (neg.f64 (/.f64 x 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 B)))) (/.f64 1 (sin.f64 B)))))))
(if (<=.f64 F -3136042293543369/43556142965880123323311949751266331066368) (-.f64 (/.f64 -1 (sin.f64 B)) (/.f64 x (tan.f64 B))) (if (<=.f64 F -3188570148238937/693167423530203714894603546035770925859109268843954143792619895153655326951406405759993601526034894524347802740350892957243539456) (+.f64 (neg.f64 (/.f64 x B)) (/.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 2 (.f64 2 x)))) F) (sin.f64 B))) (if (<=.f64 F 1316984921763987/506532662216918085755909163048237445191949002959281848144001138878253517018177263964807989373425756138696031080481053366991595590260226478013534525648677207893210669360535830528) (/.f64 (.f64 x (neg.f64 (cos.f64 B))) (sin.f64 B)) (if (<=.f64 F 6437288204283977/1237940039285380274899124224) (+.f64 (neg.f64 (/.f64 x B)) (/.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 2 (.f64 2 x)))) F) (sin.f64 B))) (+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 (sin.f64 B)))))))
(if (<=.f64 F -1742245718635205/174224571863520493293247799005065324265472) (-.f64 (/.f64 -1 (sin.f64 B)) (/.f64 x (tan.f64 B))) (if (<=.f64 F 905047950073301/47634102635436893179040485073748265163400240214004076398607741693502376385799646303105256699577209032590132615988260237052123652332890095616) (/.f64 (.f64 x (neg.f64 (cos.f64 B))) (sin.f64 B)) (if (<=.f64 F 5347900969712843/39614081257132168796771975168) (+.f64 (.f64 -1 (/.f64 x B)) (.f64 (/.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 (.f64 2 x) 2))))) (+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 (sin.f64 B))))))
(if (<=.f64 F -1742245718635205/174224571863520493293247799005065324265472) (-.f64 (/.f64 -1 (sin.f64 B)) (/.f64 x (tan.f64 B))) (if (<=.f64 F 905047950073301/47634102635436893179040485073748265163400240214004076398607741693502376385799646303105256699577209032590132615988260237052123652332890095616) (/.f64 (.f64 x (neg.f64 (cos.f64 B))) (sin.f64 B)) (if (<=.f64 F 5347900969712843/39614081257132168796771975168) (+.f64 (.f64 -1 (/.f64 x B)) (.f64 (/.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 (.f64 2 x) 2))))) (/.f64 1 (sin.f64 B)))))
(if (<=.f64 F -12500000) (-.f64 (/.f64 F (.f64 (sin.f64 B) (neg.f64 F))) (/.f64 x B)) (if (<=.f64 F 905047950073301/47634102635436893179040485073748265163400240214004076398607741693502376385799646303105256699577209032590132615988260237052123652332890095616) (/.f64 (.f64 x (neg.f64 (cos.f64 B))) (sin.f64 B)) (if (<=.f64 F 5347900969712843/39614081257132168796771975168) (+.f64 (.f64 -1 (/.f64 x B)) (.f64 (/.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 2 x) 2))))) (/.f64 1 (sin.f64 B)))))
(if (<=.f64 F -12500000) (-.f64 (/.f64 F (.f64 (sin.f64 B) (neg.f64 F))) (/.f64 x B)) (if (<=.f64 F 905047950073301/47634102635436893179040485073748265163400240214004076398607741693502376385799646303105256699577209032590132615988260237052123652332890095616) (/.f64 (neg.f64 x) (/.f64 (sin.f64 B) (cos.f64 B))) (if (<=.f64 F 5347900969712843/39614081257132168796771975168) (+.f64 (.f64 -1 (/.f64 x B)) (.f64 (/.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 (.f64 2 x) 2))))) (/.f64 1 (sin.f64 B)))))
(if (<=.f64 F -12500000) (-.f64 (/.f64 F (.f64 (sin.f64 B) (neg.f64 F))) (/.f64 x B)) (if (<=.f64 F 905047950073301/47634102635436893179040485073748265163400240214004076398607741693502376385799646303105256699577209032590132615988260237052123652332890095616) (.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B))) (if (<=.f64 F 5347900969712843/39614081257132168796771975168) (+.f64 (.f64 -1 (/.f64 x B)) (.f64 (/.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 2 x) 2))))) (/.f64 1 (sin.f64 B)))))
(if (<=.f64 F -1964034364737685/818347651974035467503297424206899788054160511510766197370822842024033449101168638720817523081476039287721671031890017752304314136471348263332131897344) (-.f64 (/.f64 -1 B) (/.f64 x (tan.f64 B))) (if (<=.f64 F 6424061498609689/33810849992682575766549746234657062817206228866311777416189485377707129763630391006362704376810060025259161279568456235448470243808171874384034494621628132922136747775936325386798817131291292227393550906125516057865473810736099951285657401521090334495330469177455231893504) (/.f64 (+.f64 (.f64 F (sqrt.f64 (/.f64 1 (+.f64 (.f64 2 x) 2)))) (.f64 -1 x)) B) (if (<=.f64 F 7729075046034517/7729075046034516689390703781863974688597854659412869997314470502903038284579120849072387533163845155924927232063004354354730157322085975311485817346934161497393961629646848) (+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 (/.f64 -1 F) (/.f64 B F))) (if (<=.f64 F 5347900969712843/39614081257132168796771975168) (+.f64 (.f64 -1 (/.f64 x B)) (.f64 (/.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 2 x) 2))))) (/.f64 1 (sin.f64 B))))))
(if (<=.f64 F -1964034364737685/818347651974035467503297424206899788054160511510766197370822842024033449101168638720817523081476039287721671031890017752304314136471348263332131897344) (-.f64 (/.f64 -1 B) (/.f64 x (tan.f64 B))) (if (<=.f64 F 6424061498609689/33810849992682575766549746234657062817206228866311777416189485377707129763630391006362704376810060025259161279568456235448470243808171874384034494621628132922136747775936325386798817131291292227393550906125516057865473810736099951285657401521090334495330469177455231893504) (/.f64 (+.f64 (.f64 F (sqrt.f64 (/.f64 1 (+.f64 (.f64 2 x) 2)))) (.f64 -1 x)) B) (if (<=.f64 F 7729075046034517/7729075046034516689390703781863974688597854659412869997314470502903038284579120849072387533163845155924927232063004354354730157322085975311485817346934161497393961629646848) (+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 (/.f64 -1 F) (/.f64 B F))) (if (<=.f64 F 5347900969712843/39614081257132168796771975168) (/.f64 (+.f64 (.f64 F (sqrt.f64 (/.f64 1 (+.f64 (.f64 2 x) 2)))) (*.f64 -1 x)) B) (/.f64 1 (sin.f64 B))))))
(if (<=.f64 x -4560002083202291/1062275985633534197379176413104937254659186235454063846398888276400807119721704485478325004530458571337778658972493002030693158675305414478819039957533174703887662541670786438063456256) (-.f64 (/.f64 -1 B) (/.f64 x (tan.f64 B))) (if (<=.f64 x -3335627233932785/379032737378102767370356320425415662904513187772631008578870126471203845870697482014374611530431269030880793627229265919475483409207718357286202948008100864063587640630090308972232735749901964068667724412528434753635948938919936) (/.f64 1 (sin.f64 B)) (if (<=.f64 x -735218975338007/6511732844609232689531105264376228317524178049136629062886970519300817615056281319845148633663627237053642490813899648872938282865350942461292339894854326216889802323744154842249099888585755883524379898570201759747744871130348106729652224) (-.f64 (+.f64 1 (/.f64 -1 (sin.f64 B))) 1) (if (<=.f64 x 6597376210459145/76135265714062492815260799905274908678720522324960996303655519196976161646612703925512617702203205150197694658057880220183274764571899172238890525752442604840088107030909945545865544183516044127756246824056393584950668733792147460513643465745851293850216709399252168336576785859311828992) (.f64 (/.f64 F B) (sqrt.f64 1/2)) (if (<=.f64 x 6971562935365721/2839213766779714416208296124562517712318911565184836172974571090549372219192960637992933791850638927971728600024477257552869537611776) (/.f64 -1 (sin.f64 B)) (if (<=.f64 x 4874607668080501/1237940039285380274899124224) (+.f64 (neg.f64 (/.f64 x B)) (.f64 B -1/6)) (-.f64 (/.f64 -1 B) (/.f64 x (tan.f64 B)))))))))
(if (<=.f64 x -4560002083202291/1062275985633534197379176413104937254659186235454063846398888276400807119721704485478325004530458571337778658972493002030693158675305414478819039957533174703887662541670786438063456256) (-.f64 (/.f64 -1 B) (/.f64 x (tan.f64 B))) (if (<=.f64 x -3335627233932785/379032737378102767370356320425415662904513187772631008578870126471203845870697482014374611530431269030880793627229265919475483409207718357286202948008100864063587640630090308972232735749901964068667724412528434753635948938919936) (/.f64 1 (sin.f64 B)) (if (<=.f64 x -735218975338007/6511732844609232689531105264376228317524178049136629062886970519300817615056281319845148633663627237053642490813899648872938282865350942461292339894854326216889802323744154842249099888585755883524379898570201759747744871130348106729652224) (/.f64 -1 (sin.f64 B)) (if (<=.f64 x 6597376210459145/76135265714062492815260799905274908678720522324960996303655519196976161646612703925512617702203205150197694658057880220183274764571899172238890525752442604840088107030909945545865544183516044127756246824056393584950668733792147460513643465745851293850216709399252168336576785859311828992) (.f64 (/.f64 F B) (sqrt.f64 1/2)) (if (<=.f64 x 6971562935365721/2839213766779714416208296124562517712318911565184836172974571090549372219192960637992933791850638927971728600024477257552869537611776) (/.f64 -1 (sin.f64 B)) (if (<=.f64 x 4874607668080501/1237940039285380274899124224) (+.f64 (neg.f64 (/.f64 x B)) (.f64 B -1/6)) (-.f64 (/.f64 -1 B) (/.f64 x (tan.f64 B)))))))))
(if (<=.f64 F -35000000000) (/.f64 -1 (sin.f64 B)) (if (<=.f64 F 1997919072202235/12486994201263968925526388919172665222994392570659884603436627838501486955279062480481224412253967884639307724485626491581791902717153141225160704) (/.f64 (neg.f64 x) B) (if (<=.f64 F 5347900969712843/39614081257132168796771975168) (*.f64 (/.f64 F B) (sqrt.f64 1/2)) (/.f64 1 (sin.f64 B)))))
(if (<=.f64 F -35000000000) (/.f64 -1 (sin.f64 B)) (if (<=.f64 F 5363734393030611/766247770432944429179173513575154591809369561091801088) (/.f64 (neg.f64 x) B) (/.f64 1 (sin.f64 B))))
(if (<=.f64 F -35000000000) (/.f64 -1 (sin.f64 B)) (if (<=.f64 F 8436424732359699/803469022129495137770981046170581301261101496891396417650688) (/.f64 (neg.f64 x) B) (/.f64 (-.f64 1 x) B)))
(if (<=.f64 F -4508741361702435/85070591730234615865843651857942052864) (/.f64 (-.f64 -1 x) B) (if (<=.f64 F 8436424732359699/803469022129495137770981046170581301261101496891396417650688) (/.f64 (neg.f64 x) B) (/.f64 (-.f64 1 x) B)))
(if (<=.f64 F -4508741361702435/85070591730234615865843651857942052864) (/.f64 (-.f64 -1 x) B) (if (<=.f64 F 5363734393030611/766247770432944429179173513575154591809369561091801088) (/.f64 (neg.f64 x) B) (/.f64 1 B)))
(if (<=.f64 F -126000000000) (/.f64 -1 B) (if (<=.f64 F 5363734393030611/766247770432944429179173513575154591809369561091801088) (/.f64 (neg.f64 x) B) (/.f64 1 B)))
(if (<=.f64 F 7486192554119879/115172193140305827399949785796761135587064246228529065807379342658863042065190089480167441564259605943037975312218134915154131611020654072038617988630148194691448832) (/.f64 -1 B) (/.f64 1 B))
(/.f64 1 B)

Outputs
(if (<=.f64 F -750000000000000) (-.f64 (/.f64 -1 (sin.f64 B)) (/.f64 x (tan.f64 B))) (if (<=.f64 F 47000000) (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 1 (sin.f64 B)) (/.f64 x (/.f64 (sin.f64 B) (cos.f64 B))))))
(if (<=.f64 F -750000000000000) (-.f64 (/.f64 -1 (sin.f64 B)) (/.f64 x (tan.f64 B))) (if (<=.f64 F 47000000) (+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (.f64 F F) 2) (*.f64 2 x)) (neg.f64 (/.f64 1 2))))) (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (/.f64 (sin.f64 B) (cos.f64 B))))))
(if (<=.f64 F -750000000000000) (-.f64 (/.f64 -1 (sin.f64 B)) (/.f64 x (tan.f64 B))) (if (<=.f64 F 47000000) (+.f64 (/.f64 -1 (/.f64 (tan.f64 B) x)) (.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 2 (.f64 F F)) (*.f64 x 2)) -1/2))) (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (/.f64 (sin.f64 B) (cos.f64 B))))))
(if (<=.f64 F -240) (-.f64 (/.f64 -1 (sin.f64 B)) (/.f64 x (tan.f64 B))) (if (<=.f64 F 6437288204283977/1237940039285380274899124224) (+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 2 x) 2))))) (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (/.f64 (sin.f64 B) (cos.f64 B))))))
(if (<=.f64 F -240) (-.f64 (/.f64 -1 (sin.f64 B)) (/.f64 x (tan.f64 B))) (if (<=.f64 F 6437288204283977/1237940039285380274899124224) (+.f64 (.f64 x (neg.f64 (/.f64 1 (tan.f64 B)))) (.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 2 (*.f64 x 2)))))) (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (/.f64 (sin.f64 B) (cos.f64 B))))))
(if (<=.f64 F -240) (-.f64 (/.f64 -1 (sin.f64 B)) (/.f64 x (tan.f64 B))) (if (<=.f64 F 6437288204283977/1237940039285380274899124224) (+.f64 (.f64 x (/.f64 -1 (tan.f64 B))) (.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 2 (*.f64 x 2)))))) (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (/.f64 (sin.f64 B) (cos.f64 B))))))
(if (<=.f64 F -240) (-.f64 (/.f64 -1 (sin.f64 B)) (/.f64 x (tan.f64 B))) (if (<=.f64 F 6437288204283977/1237940039285380274899124224) (+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 2 (*.f64 2 x)))) F) (sin.f64 B))) (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (/.f64 (sin.f64 B) (cos.f64 B))))))
(if (<=.f64 F -240) (-.f64 (/.f64 -1 (sin.f64 B)) (/.f64 x (tan.f64 B))) (if (<=.f64 F 6437288204283977/1237940039285380274899124224) (+.f64 (.f64 x (neg.f64 (/.f64 1 (tan.f64 B)))) (/.f64 (.f64 F (sqrt.f64 (/.f64 1 (+.f64 2 (*.f64 x 2))))) (sin.f64 B))) (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (/.f64 (sin.f64 B) (cos.f64 B))))))
(if (<=.f64 F -240) (-.f64 (/.f64 -1 (sin.f64 B)) (/.f64 x (tan.f64 B))) (if (<=.f64 F 6437288204283977/1237940039285380274899124224) (+.f64 (.f64 x (/.f64 -1 (tan.f64 B))) (/.f64 (.f64 F (sqrt.f64 (/.f64 1 (+.f64 2 (*.f64 x 2))))) (sin.f64 B))) (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (/.f64 (sin.f64 B) (cos.f64 B))))))
(if (<=.f64 F -240) (-.f64 (/.f64 -1 (sin.f64 B)) (/.f64 x (tan.f64 B))) (if (<=.f64 F 6530219459687219/4503599627370496) (+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (.f64 F (/.f64 (sqrt.f64 1/2) (sin.f64 B)))) (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (/.f64 (sin.f64 B) (cos.f64 B))))))
(if (<=.f64 F -240) (-.f64 (/.f64 -1 (sin.f64 B)) (/.f64 x (tan.f64 B))) (if (<=.f64 F 6530219459687219/4503599627370496) (+.f64 (.f64 x (neg.f64 (/.f64 1 (tan.f64 B)))) (.f64 F (/.f64 (sqrt.f64 1/2) (sin.f64 B)))) (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (/.f64 (sin.f64 B) (cos.f64 B))))))
(if (<=.f64 F -240) (-.f64 (/.f64 -1 (sin.f64 B)) (/.f64 x (tan.f64 B))) (if (<=.f64 F 6530219459687219/4503599627370496) (+.f64 (.f64 x (/.f64 -1 (tan.f64 B))) (.f64 F (/.f64 (sqrt.f64 1/2) (sin.f64 B)))) (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (/.f64 (sin.f64 B) (cos.f64 B))))))
(if (<=.f64 F -3136042293543369/43556142965880123323311949751266331066368) (-.f64 (/.f64 -1 (sin.f64 B)) (/.f64 x (tan.f64 B))) (if (<=.f64 F -3188570148238937/693167423530203714894603546035770925859109268843954143792619895153655326951406405759993601526034894524347802740350892957243539456) (+.f64 (neg.f64 (/.f64 x B)) (/.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 2 (.f64 2 x)))) F) (sin.f64 B))) (if (<=.f64 F 1316984921763987/506532662216918085755909163048237445191949002959281848144001138878253517018177263964807989373425756138696031080481053366991595590260226478013534525648677207893210669360535830528) (/.f64 (.f64 x (neg.f64 (cos.f64 B))) (sin.f64 B)) (if (<=.f64 F 6437288204283977/1237940039285380274899124224) (+.f64 (neg.f64 (/.f64 x 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 1 (sin.f64 B)) (/.f64 x (/.f64 (sin.f64 B) (cos.f64 B))))))))
(if (<=.f64 F -3136042293543369/43556142965880123323311949751266331066368) (-.f64 (/.f64 -1 (sin.f64 B)) (/.f64 x (tan.f64 B))) (if (<=.f64 F -3188570148238937/693167423530203714894603546035770925859109268843954143792619895153655326951406405759993601526034894524347802740350892957243539456) (+.f64 (/.f64 (.f64 F (sqrt.f64 (/.f64 1 (+.f64 2 (.f64 x 2))))) (sin.f64 B)) (/.f64 (neg.f64 x) B)) (if (<=.f64 F 1316984921763987/506532662216918085755909163048237445191949002959281848144001138878253517018177263964807989373425756138696031080481053366991595590260226478013534525648677207893210669360535830528) (/.f64 (.f64 x (neg.f64 (cos.f64 B))) (sin.f64 B)) (if (<=.f64 F 6437288204283977/1237940039285380274899124224) (+.f64 (.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 2 (.f64 F F)) (.f64 x 2)) -1/2)) (/.f64 (neg.f64 x) B)) (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (/.f64 (sin.f64 B) (cos.f64 B))))))))
(if (<=.f64 F -3136042293543369/43556142965880123323311949751266331066368) (-.f64 (/.f64 -1 (sin.f64 B)) (/.f64 x (tan.f64 B))) (if (<=.f64 F -3188570148238937/693167423530203714894603546035770925859109268843954143792619895153655326951406405759993601526034894524347802740350892957243539456) (-.f64 (/.f64 (.f64 F (sqrt.f64 (/.f64 1 (+.f64 2 (.f64 x 2))))) (sin.f64 B)) (/.f64 x B)) (if (<=.f64 F 1316984921763987/506532662216918085755909163048237445191949002959281848144001138878253517018177263964807989373425756138696031080481053366991595590260226478013534525648677207893210669360535830528) (/.f64 (.f64 (neg.f64 x) (cos.f64 B)) (sin.f64 B)) (if (<=.f64 F 6437288204283977/1237940039285380274899124224) (-.f64 (.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 2 (.f64 F F)) (.f64 x 2)) -1/2)) (/.f64 x B)) (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (/.f64 (sin.f64 B) (cos.f64 B))))))))
(if (<=.f64 F -3136042293543369/43556142965880123323311949751266331066368) (-.f64 (/.f64 -1 (sin.f64 B)) (/.f64 x (tan.f64 B))) (if (<=.f64 F -3188570148238937/693167423530203714894603546035770925859109268843954143792619895153655326951406405759993601526034894524347802740350892957243539456) (+.f64 (neg.f64 (/.f64 x B)) (/.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 2 (.f64 2 x)))) F) (sin.f64 B))) (if (<=.f64 F 1316984921763987/506532662216918085755909163048237445191949002959281848144001138878253517018177263964807989373425756138696031080481053366991595590260226478013534525648677207893210669360535830528) (/.f64 (.f64 x (neg.f64 (cos.f64 B))) (sin.f64 B)) (if (<=.f64 F 6437288204283977/1237940039285380274899124224) (+.f64 (neg.f64 (/.f64 x 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 B)))) (/.f64 1 (sin.f64 B)))))))
(if (<=.f64 F -3136042293543369/43556142965880123323311949751266331066368) (-.f64 (/.f64 -1 (sin.f64 B)) (/.f64 x (tan.f64 B))) (if (<=.f64 F -3188570148238937/693167423530203714894603546035770925859109268843954143792619895153655326951406405759993601526034894524347802740350892957243539456) (+.f64 (/.f64 (.f64 F (sqrt.f64 (/.f64 1 (+.f64 2 (.f64 x 2))))) (sin.f64 B)) (/.f64 (neg.f64 x) B)) (if (<=.f64 F 1316984921763987/506532662216918085755909163048237445191949002959281848144001138878253517018177263964807989373425756138696031080481053366991595590260226478013534525648677207893210669360535830528) (/.f64 (.f64 x (neg.f64 (cos.f64 B))) (sin.f64 B)) (if (<=.f64 F 6437288204283977/1237940039285380274899124224) (+.f64 (.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 2 (.f64 F F)) (.f64 x 2)) -1/2)) (/.f64 (neg.f64 x) B)) (+.f64 (/.f64 1 (sin.f64 B)) (*.f64 x (neg.f64 (/.f64 1 (tan.f64 B)))))))))
(if (<=.f64 F -3136042293543369/43556142965880123323311949751266331066368) (-.f64 (/.f64 -1 (sin.f64 B)) (/.f64 x (tan.f64 B))) (if (<=.f64 F -3188570148238937/693167423530203714894603546035770925859109268843954143792619895153655326951406405759993601526034894524347802740350892957243539456) (-.f64 (/.f64 (.f64 F (sqrt.f64 (/.f64 1 (+.f64 2 (.f64 x 2))))) (sin.f64 B)) (/.f64 x B)) (if (<=.f64 F 1316984921763987/506532662216918085755909163048237445191949002959281848144001138878253517018177263964807989373425756138696031080481053366991595590260226478013534525648677207893210669360535830528) (/.f64 (.f64 (neg.f64 x) (cos.f64 B)) (sin.f64 B)) (if (<=.f64 F 6437288204283977/1237940039285380274899124224) (-.f64 (.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 2 (.f64 F F)) (.f64 x 2)) -1/2)) (/.f64 x B)) (-.f64 (/.f64 1 (sin.f64 B)) (*.f64 x (/.f64 1 (tan.f64 B))))))))
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(if (<=.f64 x -4560002083202291/1062275985633534197379176413104937254659186235454063846398888276400807119721704485478325004530458571337778658972493002030693158675305414478819039957533174703887662541670786438063456256) (-.f64 (/.f64 -1 B) (/.f64 x (tan.f64 B))) (if (<=.f64 x -3335627233932785/379032737378102767370356320425415662904513187772631008578870126471203845870697482014374611530431269030880793627229265919475483409207718357286202948008100864063587640630090308972232735749901964068667724412528434753635948938919936) (/.f64 1 (sin.f64 B)) (if (<=.f64 x -735218975338007/6511732844609232689531105264376228317524178049136629062886970519300817615056281319845148633663627237053642490813899648872938282865350942461292339894854326216889802323744154842249099888585755883524379898570201759747744871130348106729652224) (-.f64 (+.f64 1 (/.f64 -1 (sin.f64 B))) 1) (if (<=.f64 x 6597376210459145/76135265714062492815260799905274908678720522324960996303655519196976161646612703925512617702203205150197694658057880220183274764571899172238890525752442604840088107030909945545865544183516044127756246824056393584950668733792147460513643465745851293850216709399252168336576785859311828992) (.f64 (/.f64 F B) (sqrt.f64 1/2)) (if (<=.f64 x 6971562935365721/2839213766779714416208296124562517712318911565184836172974571090549372219192960637992933791850638927971728600024477257552869537611776) (/.f64 -1 (sin.f64 B)) (if (<=.f64 x 4874607668080501/1237940039285380274899124224) (+.f64 (neg.f64 (/.f64 x B)) (.f64 B -1/6)) (-.f64 (/.f64 -1 B) (/.f64 x (tan.f64 B)))))))))
(if (<=.f64 x -4560002083202291/1062275985633534197379176413104937254659186235454063846398888276400807119721704485478325004530458571337778658972493002030693158675305414478819039957533174703887662541670786438063456256) (-.f64 (/.f64 -1 B) (/.f64 x (tan.f64 B))) (if (<=.f64 x -3335627233932785/379032737378102767370356320425415662904513187772631008578870126471203845870697482014374611530431269030880793627229265919475483409207718357286202948008100864063587640630090308972232735749901964068667724412528434753635948938919936) (/.f64 1 (sin.f64 B)) (if (<=.f64 x -735218975338007/6511732844609232689531105264376228317524178049136629062886970519300817615056281319845148633663627237053642490813899648872938282865350942461292339894854326216889802323744154842249099888585755883524379898570201759747744871130348106729652224) (+.f64 (+.f64 (/.f64 -1 (sin.f64 B)) 1) -1) (if (<=.f64 x 6597376210459145/76135265714062492815260799905274908678720522324960996303655519196976161646612703925512617702203205150197694658057880220183274764571899172238890525752442604840088107030909945545865544183516044127756246824056393584950668733792147460513643465745851293850216709399252168336576785859311828992) (.f64 (sqrt.f64 1/2) (/.f64 F B)) (if (<=.f64 x 6971562935365721/2839213766779714416208296124562517712318911565184836172974571090549372219192960637992933791850638927971728600024477257552869537611776) (/.f64 -1 (sin.f64 B)) (if (<=.f64 x 4874607668080501/1237940039285380274899124224) (+.f64 (/.f64 (neg.f64 x) B) (.f64 B -1/6)) (-.f64 (/.f64 -1 B) (/.f64 x (tan.f64 B)))))))))
(if (<=.f64 x -4560002083202291/1062275985633534197379176413104937254659186235454063846398888276400807119721704485478325004530458571337778658972493002030693158675305414478819039957533174703887662541670786438063456256) (-.f64 (/.f64 -1 B) (/.f64 x (tan.f64 B))) (if (<=.f64 x -3335627233932785/379032737378102767370356320425415662904513187772631008578870126471203845870697482014374611530431269030880793627229265919475483409207718357286202948008100864063587640630090308972232735749901964068667724412528434753635948938919936) (/.f64 1 (sin.f64 B)) (if (<=.f64 x -735218975338007/6511732844609232689531105264376228317524178049136629062886970519300817615056281319845148633663627237053642490813899648872938282865350942461292339894854326216889802323744154842249099888585755883524379898570201759747744871130348106729652224) (+.f64 -1 (+.f64 (/.f64 -1 (sin.f64 B)) 1)) (if (<=.f64 x 6597376210459145/76135265714062492815260799905274908678720522324960996303655519196976161646612703925512617702203205150197694658057880220183274764571899172238890525752442604840088107030909945545865544183516044127756246824056393584950668733792147460513643465745851293850216709399252168336576785859311828992) (.f64 (sqrt.f64 1/2) (/.f64 F B)) (if (<=.f64 x 6971562935365721/2839213766779714416208296124562517712318911565184836172974571090549372219192960637992933791850638927971728600024477257552869537611776) (/.f64 -1 (sin.f64 B)) (if (<=.f64 x 4874607668080501/1237940039285380274899124224) (-.f64 (.f64 B -1/6) (/.f64 x B)) (-.f64 (/.f64 -1 B) (/.f64 x (tan.f64 B)))))))))
(if (<=.f64 x -4560002083202291/1062275985633534197379176413104937254659186235454063846398888276400807119721704485478325004530458571337778658972493002030693158675305414478819039957533174703887662541670786438063456256) (-.f64 (/.f64 -1 B) (/.f64 x (tan.f64 B))) (if (<=.f64 x -3335627233932785/379032737378102767370356320425415662904513187772631008578870126471203845870697482014374611530431269030880793627229265919475483409207718357286202948008100864063587640630090308972232735749901964068667724412528434753635948938919936) (/.f64 1 (sin.f64 B)) (if (<=.f64 x -735218975338007/6511732844609232689531105264376228317524178049136629062886970519300817615056281319845148633663627237053642490813899648872938282865350942461292339894854326216889802323744154842249099888585755883524379898570201759747744871130348106729652224) (/.f64 -1 (sin.f64 B)) (if (<=.f64 x 6597376210459145/76135265714062492815260799905274908678720522324960996303655519196976161646612703925512617702203205150197694658057880220183274764571899172238890525752442604840088107030909945545865544183516044127756246824056393584950668733792147460513643465745851293850216709399252168336576785859311828992) (.f64 (/.f64 F B) (sqrt.f64 1/2)) (if (<=.f64 x 6971562935365721/2839213766779714416208296124562517712318911565184836172974571090549372219192960637992933791850638927971728600024477257552869537611776) (/.f64 -1 (sin.f64 B)) (if (<=.f64 x 4874607668080501/1237940039285380274899124224) (+.f64 (neg.f64 (/.f64 x B)) (.f64 B -1/6)) (-.f64 (/.f64 -1 B) (/.f64 x (tan.f64 B)))))))))
(if (<=.f64 x -4560002083202291/1062275985633534197379176413104937254659186235454063846398888276400807119721704485478325004530458571337778658972493002030693158675305414478819039957533174703887662541670786438063456256) (-.f64 (/.f64 -1 B) (/.f64 x (tan.f64 B))) (if (<=.f64 x -3335627233932785/379032737378102767370356320425415662904513187772631008578870126471203845870697482014374611530431269030880793627229265919475483409207718357286202948008100864063587640630090308972232735749901964068667724412528434753635948938919936) (/.f64 1 (sin.f64 B)) (if (<=.f64 x -735218975338007/6511732844609232689531105264376228317524178049136629062886970519300817615056281319845148633663627237053642490813899648872938282865350942461292339894854326216889802323744154842249099888585755883524379898570201759747744871130348106729652224) (/.f64 -1 (sin.f64 B)) (if (<=.f64 x 6597376210459145/76135265714062492815260799905274908678720522324960996303655519196976161646612703925512617702203205150197694658057880220183274764571899172238890525752442604840088107030909945545865544183516044127756246824056393584950668733792147460513643465745851293850216709399252168336576785859311828992) (.f64 (sqrt.f64 1/2) (/.f64 F B)) (if (<=.f64 x 6971562935365721/2839213766779714416208296124562517712318911565184836172974571090549372219192960637992933791850638927971728600024477257552869537611776) (/.f64 -1 (sin.f64 B)) (if (<=.f64 x 4874607668080501/1237940039285380274899124224) (+.f64 (/.f64 (neg.f64 x) B) (.f64 B -1/6)) (-.f64 (/.f64 -1 B) (/.f64 x (tan.f64 B)))))))))
(if (<=.f64 x -4560002083202291/1062275985633534197379176413104937254659186235454063846398888276400807119721704485478325004530458571337778658972493002030693158675305414478819039957533174703887662541670786438063456256) (-.f64 (/.f64 -1 B) (/.f64 x (tan.f64 B))) (if (<=.f64 x -3335627233932785/379032737378102767370356320425415662904513187772631008578870126471203845870697482014374611530431269030880793627229265919475483409207718357286202948008100864063587640630090308972232735749901964068667724412528434753635948938919936) (/.f64 1 (sin.f64 B)) (if (<=.f64 x -735218975338007/6511732844609232689531105264376228317524178049136629062886970519300817615056281319845148633663627237053642490813899648872938282865350942461292339894854326216889802323744154842249099888585755883524379898570201759747744871130348106729652224) (/.f64 -1 (sin.f64 B)) (if (<=.f64 x 6597376210459145/76135265714062492815260799905274908678720522324960996303655519196976161646612703925512617702203205150197694658057880220183274764571899172238890525752442604840088107030909945545865544183516044127756246824056393584950668733792147460513643465745851293850216709399252168336576785859311828992) (.f64 (sqrt.f64 1/2) (/.f64 F B)) (if (<=.f64 x 6971562935365721/2839213766779714416208296124562517712318911565184836172974571090549372219192960637992933791850638927971728600024477257552869537611776) (/.f64 -1 (sin.f64 B)) (if (<=.f64 x 4874607668080501/1237940039285380274899124224) (-.f64 (.f64 B -1/6) (/.f64 x B)) (-.f64 (/.f64 -1 B) (/.f64 x (tan.f64 B)))))))))
(if (<=.f64 F -35000000000) (/.f64 -1 (sin.f64 B)) (if (<=.f64 F 1997919072202235/12486994201263968925526388919172665222994392570659884603436627838501486955279062480481224412253967884639307724485626491581791902717153141225160704) (/.f64 (neg.f64 x) B) (if (<=.f64 F 5347900969712843/39614081257132168796771975168) (*.f64 (/.f64 F B) (sqrt.f64 1/2)) (/.f64 1 (sin.f64 B)))))
(if (<=.f64 F -35000000000) (/.f64 -1 (sin.f64 B)) (if (<=.f64 F 1997919072202235/12486994201263968925526388919172665222994392570659884603436627838501486955279062480481224412253967884639307724485626491581791902717153141225160704) (/.f64 (neg.f64 x) B) (if (<=.f64 F 5347900969712843/39614081257132168796771975168) (*.f64 (sqrt.f64 1/2) (/.f64 F B)) (/.f64 1 (sin.f64 B)))))
(if (<=.f64 F -35000000000) (/.f64 -1 (sin.f64 B)) (if (<=.f64 F 5363734393030611/766247770432944429179173513575154591809369561091801088) (/.f64 (neg.f64 x) B) (/.f64 1 (sin.f64 B))))
(if (<=.f64 F -35000000000) (/.f64 -1 (sin.f64 B)) (if (<=.f64 F 8436424732359699/803469022129495137770981046170581301261101496891396417650688) (/.f64 (neg.f64 x) B) (/.f64 (-.f64 1 x) B)))
(if (<=.f64 F -4508741361702435/85070591730234615865843651857942052864) (/.f64 (-.f64 -1 x) B) (if (<=.f64 F 8436424732359699/803469022129495137770981046170581301261101496891396417650688) (/.f64 (neg.f64 x) B) (/.f64 (-.f64 1 x) B)))
(if (<=.f64 F -4508741361702435/85070591730234615865843651857942052864) (/.f64 (-.f64 -1 x) B) (if (<=.f64 F 5363734393030611/766247770432944429179173513575154591809369561091801088) (/.f64 (neg.f64 x) B) (/.f64 1 B)))
(if (<=.f64 F -126000000000) (/.f64 -1 B) (if (<=.f64 F 5363734393030611/766247770432944429179173513575154591809369561091801088) (/.f64 (neg.f64 x) B) (/.f64 1 B)))
(if (<=.f64 F 7486192554119879/115172193140305827399949785796761135587064246228529065807379342658863042065190089480167441564259605943037975312218134915154131611020654072038617988630148194691448832) (/.f64 -1 B) (/.f64 1 B))
(/.f64 1 B)

Compiler

Compiled 1235 to 810 computations (34.4% saved)

soundness572.0ms (1.1%)

Algorithm

4×	egg-herbie

Rules

824×	`times-frac_binary64`
693×	`distribute-rgt-in_binary64`
685×	`distribute-lft-in_binary64`
639×	`distribute-rgt-neg-in_binary64`
639×	`distribute-rgt-neg-in_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	23	35
1	49	28
2	107	28
3	218	28
4	503	28
5	1505	28
6	3924	28
7	6363	28
8	7670	28
0	23	35
1	49	28
2	107	28
3	218	28
4	503	28
5	1505	28
6	3924	28
7	6363	28
8	7670	28
0	23	35
1	49	28
2	107	28
3	218	28
4	503	28
5	1505	28
6	3924	28
7	6363	28
8	7670	28
0	350	3726
1	1093	3265
2	4017	3021

Stop Event

1×	node limit
1×	node limit
1×	node limit
1×	node limit

Compiler

Compiled 1026 to 749 computations (27% saved)

end491.0ms (1%)

Compiler: Compiled 1163 to 608 computations (47.7% saved)