Details

analyze1.2s (2.4%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
0%	99.9%	0.1%	7
0%	93.6%	6.4%	8
6.2%	87.4%	6.4%	9
10.9%	79.6%	9.5%	10
13.7%	73.7%	12.6%	11
17.7%	68.8%	13.4%	12

Compiler

Compiled 31 to 24 computations (22.6% saved)

sample4.7s (9.5%)

Results

2.0s	2274×	body	1024	valid
1.7s	4790×	body	256	valid
618.0ms	1183×	body	512	valid
331.0ms	1169×	body	256	invalid
13.0ms	9×	body	2048	valid

preprocess77.0ms (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)

simplify78.0ms (0.2%)

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

8.3b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	8.4b	(+.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)))))
▶	8.3b	(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)))

Status

Error

Program

▶

8.4b

(+.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)))))

▶

8.3b

(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)))

Compiler

Compiled 52 to 38 computations (26.9% saved)

localize63.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 1 (tan.f64 B))
✓	0.3b	(*.f64 x (/.f64 1 (tan.f64 B)))
✓	5.1b	(.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (.f64 F F) 2) (*.f64 2 x)) (neg.f64 (/.f64 1 2))))
✓	13.8b	(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)

series98.0ms (0.2%)

Counts

4 → 88

Calls

24 calls:

Time	Variable		Point	Expression
37.0ms	x	@	0	(*.f64 x (/.f64 1 (tan.f64 B)))
27.0ms	F	@	inf	(pow.f64 (+.f64 (+.f64 (.f64 F F) 2) (.f64 2 x)) (neg.f64 (/.f64 1 2)))
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	@	inf	(.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (.f64 F F) 2) (*.f64 2 x)) (neg.f64 (/.f64 1 2))))

rewrite83.0ms (0.2%)

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))))))

simplify122.0ms (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))

localize35.0ms (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))
✓	4.9b	(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	(pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)

Compiler

Compiled 62 to 29 computations (53.2% saved)

series83.0ms (0.2%)

Counts

4 → 88

Calls

27 calls:

Time	Variable		Point	Expression
63.0ms	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)))
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)))
1.0ms	F	@	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)))

rewrite146.0ms (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))))))

simplify107.0ms (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)))

eval442.0ms (0.9%)

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

prune228.0ms (0.5%)

Pruning

31 alts after pruning (31 fresh and 0 done)

	Pruned	Kept	Total
New	571	31	602
Fresh	0	0	0
Picked	1	0	1
Done	1	0	1
Total	573	31	604

Error

0.0b

Counts

604 → 31

Alt Table

Click to see full alt table

Status	Error	Program
▶	38.1b	(/.f64 (+.f64 (.f64 F (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x)))))) (*.f64 -1 x)) B)
	30.0b	(+.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)))))
	35.3b	(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (.f64 (/.f64 F (sin.f64 B)) (/.f64 -1 F)))
	8.4b	(+.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)))))
▶	24.3b	(fma.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 2 (*.f64 2 x)))) (/.f64 (neg.f64 x) (tan.f64 B)))
	32.4b	(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 (sin.f64 B)))
	8.4b	(+.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)))))
	25.9b	(+.f64 (neg.f64 (expm1.f64 (log1p.f64 (/.f64 x (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)))))
	54.9b	(/.f64 1 (sin.f64 B))
	26.9b	(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (.f64 (/.f64 F (sin.f64 B)) (+.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))))))
	8.3b	(+.f64 (neg.f64 (/.f64 x (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)))))
	32.7b	(+.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))))
	6.0b	(+.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)))
	32.9b	(-.f64 (/.f64 -1 (sin.f64 B)) (/.f64 x (/.f64 (sin.f64 B) (cos.f64 B))))
	24.3b	(+.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)))))
	8.7b	(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (pow.f64 (cbrt.f64 (.f64 (pow.f64 (fma.f64 F F (fma.f64 2 x 2)) -1/2) (/.f64 F (sin.f64 B)))) 3))
	8.1b	(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 (pow.f64 (fma.f64 F F (fma.f64 2 x 2)) -1/2) (/.f64 (sin.f64 B) F)))
	32.9b	(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 -1 (sin.f64 B)))
	23.0b	(+.f64 (fma.f64 (cbrt.f64 (pow.f64 (/.f64 F (sin.f64 B)) 2)) (.f64 (cbrt.f64 (/.f64 F (sin.f64 B))) (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)) (neg.f64 (.f64 (/.f64 x (tan.f64 B)) -1))) (fma.f64 (/.f64 x (tan.f64 B)) -1 (*.f64 (/.f64 x (tan.f64 B)) -1)))
	6.0b	(+.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)))))
▶	55.0b	(/.f64 -1 (sin.f64 B))
	16.4b	(+.f64 (neg.f64 (/.f64 (/.f64 x (cbrt.f64 (pow.f64 (tan.f64 B) 2))) (cbrt.f64 (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)))))
	11.1b	(+.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))))
	36.1b	(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (.f64 (/.f64 F (sin.f64 B)) (/.f64 1 F)))
▶	6.0b	(+.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))))
	29.2b	(fma.f64 (cbrt.f64 (pow.f64 (/.f64 F (sin.f64 B)) 3)) (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2) (/.f64 (neg.f64 x) (tan.f64 B)))
	24.3b	(+.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))))
	28.8b	(/.f64 (*.f64 x (neg.f64 (cos.f64 B))) (sin.f64 B))
	15.1b	(+.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)))
▶	8.9b	(+.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 x (tan.f64 B))) 3)) (.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (.f64 F F) 2) (*.f64 2 x)) (neg.f64 (/.f64 1 2)))))
	36.1b	(fma.f64 (/.f64 F (sin.f64 B)) (/.f64 1 F) (/.f64 (neg.f64 x) (tan.f64 B)))

Compiler

Compiled 1526 to 1134 computations (25.7% saved)

localize60.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 F (/.f64 (sin.f64 B) (pow.f64 (fma.f64 F F (fma.f64 2 x 2)) -1/2)))
	0.3b	(*.f64 x (/.f64 1 (tan.f64 B)))
✓	0.3b	(/.f64 (sin.f64 B) (pow.f64 (fma.f64 F F (fma.f64 2 x 2)) -1/2))
✓	13.8b	(pow.f64 (fma.f64 F F (fma.f64 2 x 2)) -1/2)

Compiler

Compiled 98 to 58 computations (40.8% saved)

series27.0ms (0.1%)

Counts

3 → 80

Calls

24 calls:

Time	Variable		Point	Expression
7.0ms	F	@	0	(/.f64 F (/.f64 (sin.f64 B) (pow.f64 (fma.f64 F F (fma.f64 2 x 2)) -1/2)))
3.0ms	x	@	inf	(/.f64 (sin.f64 B) (pow.f64 (fma.f64 F F (fma.f64 2 x 2)) -1/2))
1.0ms	F	@	inf	(pow.f64 (fma.f64 F F (fma.f64 2 x 2)) -1/2)
1.0ms	F	@	0	(/.f64 (sin.f64 B) (pow.f64 (fma.f64 F F (fma.f64 2 x 2)) -1/2))
1.0ms	F	@	inf	(/.f64 (sin.f64 B) (pow.f64 (fma.f64 F F (fma.f64 2 x 2)) -1/2))

rewrite126.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

622×	`log-prod_binary64`
333×	`pow-prod-down_binary64`
332×	`pow2_binary64`
230×	`pow1/3_binary64`
228×	`expm1-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	49
1	258	45
2	3311	45

Stop Event

1×	node limit

Counts

3 → 107

Calls

Call 1

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

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(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))))))

simplify124.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

863×	`times-frac_binary64`
779×	`distribute-rgt-in_binary64`
412×	`fma-def_binary64`
276×	`*-commutative_binary64`
253×	`associate-r_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	403	3963
1	1351	3491
2	4422	3169

Stop Event

1×	node limit

Counts

187 → 234

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

Outputs
(sqrt.f64 (/.f64 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 (.f64 F F) (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 2 x 2) 3)))) (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 (.f64 F F) (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 2 x 2) 3)))) (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 (.f64 F F) (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 2 x 2) 3)))) (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)))))
(+.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 (.f64 F F) (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 2 x 2) 3)))) (+.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 (.f64 F F) (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 2 x 2) 3)))) (fma.f64 (.f64 3/8 (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))))))
(/.f64 1 F)
(+.f64 (.f64 -1/2 (/.f64 (+.f64 (.f64 2 x) 2) (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 1/8 (/.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))))
(fma.f64 1/8 (/.f64 (pow.f64 (fma.f64 2 x 2) 2) (pow.f64 F 5)) (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)) (/.f64 1 F))))
(+.f64 (+.f64 (/.f64 1 F) (/.f64 (pow.f64 (+.f64 -1 (neg.f64 x)) 2) (pow.f64 F 5))) (fma.f64 1/8 (/.f64 (pow.f64 (fma.f64 2 x 2) 2) (pow.f64 F 5)) (/.f64 (+.f64 -1 (neg.f64 x)) (pow.f64 F 3))))
(+.f64 (+.f64 (/.f64 1 F) (/.f64 (pow.f64 (-.f64 -1 x) 2) (pow.f64 F 5))) (fma.f64 1/8 (/.f64 (pow.f64 (fma.f64 2 x 2) 2) (pow.f64 F 5)) (/.f64 (-.f64 -1 x) (pow.f64 F 3))))
(+.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)))))))
(fma.f64 -1/8 (/.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) 2) (pow.f64 F 5)) (fma.f64 -1/6 (/.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 -1/2 (/.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)) (/.f64 1 F)))))))
(fma.f64 -1/8 (/.f64 (pow.f64 (fma.f64 2 x 2) 3) (pow.f64 F 7)) (+.f64 (*.f64 (/.f64 (pow.f64 (fma.f64 2 x 2) 3) (pow.f64 F 7)) -3/16) (+.f64 (+.f64 (/.f64 1 F) (/.f64 (pow.f64 (+.f64 -1 (neg.f64 x)) 2) (pow.f64 F 5))) (fma.f64 1/8 (/.f64 (pow.f64 (fma.f64 2 x 2) 2) (pow.f64 F 5)) (/.f64 (+.f64 -1 (neg.f64 x)) (pow.f64 F 3))))))
(fma.f64 -1/8 (/.f64 (pow.f64 (fma.f64 2 x 2) 3) (pow.f64 F 7)) (+.f64 (*.f64 (/.f64 (pow.f64 (fma.f64 2 x 2) 3) (pow.f64 F 7)) -3/16) (+.f64 (+.f64 (/.f64 1 F) (/.f64 (pow.f64 (-.f64 -1 x) 2) (pow.f64 F 5))) (fma.f64 1/8 (/.f64 (pow.f64 (fma.f64 2 x 2) 2) (pow.f64 F 5)) (/.f64 (-.f64 -1 x) (pow.f64 F 3))))))
(/.f64 -1 F)
(-.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 2 x) 2) (pow.f64 F 3))) (/.f64 1 F))
(-.f64 (*.f64 (/.f64 (fma.f64 2 x 2) (pow.f64 F 3)) 1/2) (/.f64 1 F))
(fma.f64 (/.f64 (fma.f64 2 x 2) (pow.f64 F 3)) 1/2 (/.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 (fma.f64 1/2 (/.f64 (fma.f64 2 x 2) (pow.f64 F 3)) (neg.f64 (/.f64 (*.f64 (pow.f64 (fma.f64 2 x 2) 2) 3/8) (pow.f64 F 5)))) (/.f64 1 F))
(fma.f64 (/.f64 (fma.f64 2 x 2) (pow.f64 F 3)) 1/2 (fma.f64 -1 (/.f64 (pow.f64 (fma.f64 2 x 2) 2) (/.f64 (pow.f64 F 5) 3/8)) (/.f64 -1 F)))
(+.f64 (/.f64 (*.f64 (pow.f64 (fma.f64 2 x 2) 2) -3/8) (pow.f64 F 5)) (fma.f64 (/.f64 (fma.f64 2 x 2) (pow.f64 F 3)) 1/2 (/.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))
(-.f64 (fma.f64 -1 (/.f64 (fma.f64 -1/48 (pow.f64 (fma.f64 2 x 2) 3) (.f64 (pow.f64 (fma.f64 2 x 2) 3) -7/24)) (pow.f64 F 7)) (fma.f64 1/2 (/.f64 (fma.f64 2 x 2) (pow.f64 F 3)) (neg.f64 (/.f64 (.f64 (pow.f64 (fma.f64 2 x 2) 2) 3/8) (pow.f64 F 5))))) (/.f64 1 F))
(+.f64 (-.f64 (-.f64 (.f64 (/.f64 (fma.f64 2 x 2) (pow.f64 F 3)) 1/2) (/.f64 (pow.f64 (fma.f64 2 x 2) 2) (/.f64 (pow.f64 F 5) 3/8))) (/.f64 (.f64 (pow.f64 (fma.f64 2 x 2) 3) -5/16) (pow.f64 F 7))) (/.f64 -1 F))
(+.f64 (fma.f64 (/.f64 (fma.f64 2 x 2) (pow.f64 F 3)) 1/2 (/.f64 (.f64 (pow.f64 (fma.f64 2 x 2) 2) -3/8) (pow.f64 F 5))) (+.f64 (/.f64 (.f64 (pow.f64 (fma.f64 2 x 2) 3) 5/16) (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 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 x -1/2) (pow.f64 2 -1/2))
(+.f64 (exp.f64 (.f64 -1/2 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x)))))) (.f64 -1/4 (/.f64 (.f64 (exp.f64 (.f64 -1/2 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x)))))) (+.f64 (pow.f64 F 2) 2)) x)))
(+.f64 (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x))))) (/.f64 (.f64 -1/4 (.f64 (+.f64 2 (*.f64 F F)) (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x))))))) x))
(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))))
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(.f64 (sqrt.f64 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x)))) B)
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(*.f64 (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2))) B)
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(.f64 (sqrt.f64 (fma.f64 F F (fma.f64 2 x 2))) (+.f64 B (.f64 -1/6 (pow.f64 B 3))))
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(-.f64 (/.f64 F (/.f64 (sin.f64 B) (sqrt.f64 (/.f64 1 (fma.f64 F F 2))))) (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 F F 2) 3))) (/.f64 (.f64 x F) (sin.f64 B))))
(+.f64 (.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) 2)))) (+.f64 (.f64 1/2 (.f64 (/.f64 (.f64 F (.f64 (-.f64 (.f64 4 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) 2) 3))) (pow.f64 (.f64 -1 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) 2) 3)))) 2)) (pow.f64 x 2))) (sin.f64 B)) (sqrt.f64 (+.f64 (pow.f64 F 2) 2)))) (.f64 -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 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)))) (sin.f64 B)) (neg.f64 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 2 (.f64 F F)) 3))) (/.f64 (*.f64 x F) (sin.f64 B))))))
(-.f64 (fma.f64 (sqrt.f64 (/.f64 1 (fma.f64 F F 2))) (/.f64 F (sin.f64 B)) (.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 (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 F F 2) 3))) (/.f64 (*.f64 x F) (sin.f64 B))))
(-.f64 (fma.f64 (sqrt.f64 (/.f64 1 (fma.f64 F F 2))) (/.f64 F (sin.f64 B)) (.f64 1/2 (/.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 (sin.f64 B) (sqrt.f64 (fma.f64 F F 2)))))) (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 F F 2) 3))) (/.f64 (.f64 x F) (sin.f64 B))))
(+.f64 (.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) 2)))) (+.f64 (.f64 1/2 (.f64 (/.f64 (.f64 F (.f64 (-.f64 (.f64 4 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) 2) 3))) (pow.f64 (.f64 -1 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) 2) 3)))) 2)) (pow.f64 x 2))) (sin.f64 B)) (sqrt.f64 (+.f64 (pow.f64 F 2) 2)))) (+.f64 (.f64 -1 (.f64 (/.f64 (.f64 F x) (sin.f64 B)) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) 2) 3))))) (.f64 -1/2 (.f64 (/.f64 (.f64 F (.f64 (+.f64 (.f64 8 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) 2) 4))) (.f64 -1 (/.f64 (-.f64 (.f64 4 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) 2) 3))) (pow.f64 (.f64 -1 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) 2) 3)))) 2)) (+.f64 (pow.f64 F 2) 2)))) (pow.f64 x 3))) (sin.f64 B)) (sqrt.f64 (+.f64 (pow.f64 F 2) 2)))))))
(fma.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 2 (.f64 F F)))) (fma.f64 1/2 (/.f64 (.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)))) (sin.f64 B)) (fma.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 2 (.f64 F F)) 3))) (/.f64 (.f64 x F) (sin.f64 B))) (.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 (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 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 x F) (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 1/2 (.f64 (/.f64 F (sin.f64 B)) (.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 (.f64 -1/2 F) (/.f64 (/.f64 (sin.f64 B) (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 x F) (sin.f64 B)))))

localize7.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(sin.f64 B)
✓	0.1b	(/.f64 -1 (sin.f64 B))

Compiler

Compiled 11 to 7 computations (36.4% saved)

series2.0ms (0%)

Counts

2 → 8

Calls

6 calls:

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

rewrite74.0ms (0.2%)

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	9
1	99	9
2	1142	9

Stop Event

1×	node limit

Counts

2 → 37

Calls

Call 1

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

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

simplify76.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

624×	`unswap-sqr_binary64`
523×	`cancel-sign-sub-inv_binary64`
523×	`fma-def_binary64`
439×	`associate-l_binary64`
341×	`fma-neg_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	31	101
1	78	95
2	191	95
3	531	95
4	1215	95
5	2915	95
6	5180	95
7	6790	95

Stop Event

1×	node limit

Counts

45 → 51

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))
B
(+.f64 (*.f64 -1/6 (pow.f64 B 3)) B)
(+.f64 (.f64 1/120 (pow.f64 B 5)) (+.f64 (.f64 -1/6 (pow.f64 B 3)) B))
(+.f64 (.f64 -1/5040 (pow.f64 B 7)) (+.f64 (.f64 1/120 (pow.f64 B 5)) (+.f64 (*.f64 -1/6 (pow.f64 B 3)) 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 -1/6 (fma.f64 -7/360 (pow.f64 B 3) (fma.f64 -31/15120 (pow.f64 B 5) (/.f64 -1 B))))
(fma.f64 -31/15120 (pow.f64 B 5) (fma.f64 B (fma.f64 -7/360 (*.f64 B B) -1/6) (/.f64 -1 B)))
B
(+.f64 (*.f64 -1/6 (pow.f64 B 3)) B)
(fma.f64 -1/6 (pow.f64 B 3) B)
(+.f64 (.f64 1/120 (pow.f64 B 5)) (+.f64 (.f64 -1/6 (pow.f64 B 3)) B))
(fma.f64 1/120 (pow.f64 B 5) (fma.f64 -1/6 (pow.f64 B 3) B))
(fma.f64 (pow.f64 B 5) 1/120 (fma.f64 -1/6 (pow.f64 B 3) B))
(fma.f64 -1/6 (pow.f64 B 3) (fma.f64 (pow.f64 B 5) 1/120 B))
(+.f64 (.f64 -1/5040 (pow.f64 B 7)) (+.f64 (.f64 1/120 (pow.f64 B 5)) (+.f64 (*.f64 -1/6 (pow.f64 B 3)) B)))
(fma.f64 -1/5040 (pow.f64 B 7) (fma.f64 1/120 (pow.f64 B 5) (fma.f64 -1/6 (pow.f64 B 3) B)))
(fma.f64 -1/5040 (pow.f64 B 7) (fma.f64 (pow.f64 B 5) 1/120 (fma.f64 -1/6 (pow.f64 B 3) B)))
(fma.f64 (pow.f64 B 5) 1/120 (fma.f64 -1/5040 (pow.f64 B 7) (fma.f64 -1/6 (pow.f64 B 3) B)))
(fma.f64 -1/6 (pow.f64 B 3) (fma.f64 -1/5040 (pow.f64 B 7) (fma.f64 (pow.f64 B 5) 1/120 B)))
(fma.f64 (pow.f64 B 5) 1/120 (fma.f64 -1/6 (pow.f64 B 3) (fma.f64 -1/5040 (pow.f64 B 7) B)))
(fma.f64 -1/6 (pow.f64 B 3) (fma.f64 (pow.f64 B 5) 1/120 (fma.f64 -1/5040 (pow.f64 B 7) B)))

localize79.0ms (0.2%)

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))))))
✓	0.3b	(/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (*.f64 2 x))))
✓	13.5b	(sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (*.f64 2 x)))))

Compiler

Compiled 107 to 82 computations (23.4% saved)

series38.0ms (0.1%)

Counts

4 → 86

Calls

27 calls:

Time	Variable		Point	Expression
8.0ms	F	@	inf	(/.f64 (+.f64 (.f64 F (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x)))))) (*.f64 -1 x)) B)
3.0ms	B	@	0	(/.f64 (+.f64 (.f64 F (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x)))))) (*.f64 -1 x)) B)
2.0ms	x	@	0	(/.f64 (+.f64 (.f64 F (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x)))))) (*.f64 -1 x)) B)
2.0ms	F	@	0	(/.f64 (+.f64 (.f64 F (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x)))))) (*.f64 -1 x)) B)
2.0ms	F	@	-inf	(/.f64 (+.f64 (.f64 F (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x)))))) (*.f64 -1 x)) B)

rewrite110.0ms (0.2%)

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))))))

simplify113.0ms (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)

localize33.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 64 to 37 computations (42.2% saved)

series11.0ms (0%)

Counts

2 → 34

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	F	@	0	(fma.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 2 (*.f64 2 x)))) (/.f64 (neg.f64 x) (tan.f64 B)))
1.0ms	x	@	0	(fma.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 2 (*.f64 2 x)))) (/.f64 (neg.f64 x) (tan.f64 B)))
1.0ms	B	@	0	(fma.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 2 (*.f64 2 x)))) (/.f64 (neg.f64 x) (tan.f64 B)))
1.0ms	B	@	inf	(fma.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 2 (*.f64 2 x)))) (/.f64 (neg.f64 x) (tan.f64 B)))
1.0ms	x	@	inf	(fma.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 2 (*.f64 2 x)))) (/.f64 (neg.f64 x) (tan.f64 B)))

rewrite132.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

774×	`log-prod_binary64`
419×	`prod-diff_binary64`
282×	`expm1-udef_binary64`
282×	`log1p-udef_binary64`
241×	`log-pow_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	40
1	345	30
2	4666	30

Stop Event

1×	node limit

Counts

2 → 225

Calls

Call 1

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

Outputs

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

simplify96.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

589×	`fma-def_binary64`
341×	`fma-neg_binary64`
323×	`associate-r_binary64`
304×	`associate-+l+_binary64`
301×	`associate-l_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	120	1246
1	369	1210
2	1286	1143
3	6275	1130

Stop Event

1×	node limit

Counts

259 → 254

Calls

Call 1

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

Outputs
(.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 x) (/.f64 (cos.f64 B) (sin.f64 B)))
(*.f64 x (/.f64 (neg.f64 (cos.f64 B)) (sin.f64 B)))
(+.f64 (.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (.f64 2 x) 2)))) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))
(fma.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (fma.f64 2 x 2))) (neg.f64 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))))
(fma.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (fma.f64 x 2 2))) (*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B))))
(fma.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (fma.f64 x 2 2))) (*.f64 x (/.f64 (neg.f64 (cos.f64 B)) (sin.f64 B))))
(-.f64 (*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (fma.f64 x 2 2)))) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(+.f64 (.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (.f64 2 x) 2)))) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))
(fma.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (fma.f64 2 x 2))) (neg.f64 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))))
(fma.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (fma.f64 x 2 2))) (*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B))))
(fma.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (fma.f64 x 2 2))) (*.f64 x (/.f64 (neg.f64 (cos.f64 B)) (sin.f64 B))))
(-.f64 (*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (fma.f64 x 2 2)))) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(+.f64 (.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (.f64 2 x) 2)))) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))
(fma.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (fma.f64 2 x 2))) (neg.f64 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))))
(fma.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (fma.f64 x 2 2))) (*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B))))
(fma.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (fma.f64 x 2 2))) (*.f64 x (/.f64 (neg.f64 (cos.f64 B)) (sin.f64 B))))
(-.f64 (*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (fma.f64 x 2 2)))) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(.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 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (fma.f64 x 2 2))))
(+.f64 (.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (.f64 2 x) 2)))) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))
(fma.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (fma.f64 2 x 2))) (neg.f64 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))))
(fma.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (fma.f64 x 2 2))) (*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B))))
(fma.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (fma.f64 x 2 2))) (*.f64 x (/.f64 (neg.f64 (cos.f64 B)) (sin.f64 B))))
(-.f64 (*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (fma.f64 x 2 2)))) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(+.f64 (.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (.f64 2 x) 2)))) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))
(fma.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (fma.f64 2 x 2))) (neg.f64 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))))
(fma.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (fma.f64 x 2 2))) (*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B))))
(fma.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (fma.f64 x 2 2))) (*.f64 x (/.f64 (neg.f64 (cos.f64 B)) (sin.f64 B))))
(-.f64 (*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (fma.f64 x 2 2)))) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(+.f64 (.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (.f64 2 x) 2)))) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))
(fma.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (fma.f64 2 x 2))) (neg.f64 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))))
(fma.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (fma.f64 x 2 2))) (*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B))))
(fma.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (fma.f64 x 2 2))) (*.f64 x (/.f64 (neg.f64 (cos.f64 B)) (sin.f64 B))))
(-.f64 (*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (fma.f64 x 2 2)))) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(.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 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (fma.f64 x 2 2))))
(+.f64 (.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (.f64 2 x) 2)))) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))
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(fma.f64 (/.f64 (sqrt.f64 1/2) (sin.f64 B)) F (-.f64 (.f64 (/.f64 F (sin.f64 B)) (+.f64 (.f64 (+.f64 (/.f64 1/2 (sqrt.f64 1/2)) (/.f64 (/.f64 -1/16 (sqrt.f64 1/2)) 1/2)) (.f64 x (.f64 x 1/2))) (*.f64 x (/.f64 -1/4 (sqrt.f64 1/2))))) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))))
(+.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 (sin.f64 B) (sqrt.f64 1/2)))) (+.f64 (.f64 -1/2 (/.f64 (.f64 F (.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)))) (pow.f64 x 3))) (.f64 (sin.f64 B) (sqrt.f64 1/2)))) (+.f64 (.f64 x (+.f64 (.f64 -1 (/.f64 (cos.f64 B) (sin.f64 B))) (.f64 -1/4 (/.f64 F (.f64 (sqrt.f64 1/2) (sin.f64 B)))))) (/.f64 (.f64 (sqrt.f64 1/2) F) (sin.f64 B)))))
(fma.f64 1/2 (.f64 (/.f64 F (sin.f64 B)) (/.f64 (-.f64 1/2 (pow.f64 (/.f64 -1/4 (sqrt.f64 1/2)) 2)) (/.f64 (sqrt.f64 1/2) (.f64 x x)))) (fma.f64 -1/2 (.f64 (/.f64 F (sin.f64 B)) (/.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) (pow.f64 x 3)))) (fma.f64 x (fma.f64 -1 (/.f64 (cos.f64 B) (sin.f64 B)) (/.f64 (.f64 -1/4 F) (.f64 (sin.f64 B) (sqrt.f64 1/2)))) (/.f64 (sqrt.f64 1/2) (/.f64 (sin.f64 B) F)))))
(fma.f64 1/2 (/.f64 F (/.f64 (/.f64 (.f64 (sin.f64 B) (sqrt.f64 1/2)) (.f64 x x)) (-.f64 1/2 (pow.f64 (/.f64 -1/4 (sqrt.f64 1/2)) 2)))) (fma.f64 -1/2 (.f64 (/.f64 F (sin.f64 B)) (/.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) (pow.f64 x 3)))) (fma.f64 x (-.f64 (.f64 -1/4 (/.f64 (/.f64 F (sqrt.f64 1/2)) (sin.f64 B))) (/.f64 (cos.f64 B) (sin.f64 B))) (*.f64 (/.f64 (sqrt.f64 1/2) (sin.f64 B)) F))))
(+.f64 (fma.f64 x (fma.f64 (/.f64 -1/4 (sqrt.f64 1/2)) (/.f64 F (sin.f64 B)) (/.f64 (neg.f64 (cos.f64 B)) (sin.f64 B))) (/.f64 (sqrt.f64 1/2) (/.f64 (sin.f64 B) F))) (.f64 (/.f64 F (sin.f64 B)) (fma.f64 1/2 (.f64 (.f64 x x) (-.f64 (/.f64 1/2 (sqrt.f64 1/2)) (/.f64 (/.f64 1/16 (sqrt.f64 1/2)) 1/2))) (/.f64 (.f64 (pow.f64 x 3) -5/32) (sqrt.f64 1/2)))))
(+.f64 (fma.f64 x (fma.f64 (/.f64 F (sin.f64 B)) (/.f64 -1/4 (sqrt.f64 1/2)) (/.f64 (neg.f64 (cos.f64 B)) (sin.f64 B))) (/.f64 (sqrt.f64 1/2) (/.f64 (sin.f64 B) F))) (.f64 (/.f64 F (sin.f64 B)) (.f64 (.f64 x x) (+.f64 (/.f64 (.f64 1/2 (-.f64 1/2 (pow.f64 (/.f64 -1/4 (sqrt.f64 1/2)) 2))) (sqrt.f64 1/2)) (/.f64 -5/32 (/.f64 (sqrt.f64 1/2) x))))))
(.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 x) (/.f64 (cos.f64 B) (sin.f64 B)))
(*.f64 x (/.f64 (neg.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 x) (/.f64 (cos.f64 B) (sin.f64 B)))
(*.f64 x (/.f64 (neg.f64 (cos.f64 B)) (sin.f64 B)))
(sqrt.f64 1/2)
(+.f64 (sqrt.f64 1/2) (*.f64 -1/4 (/.f64 x (sqrt.f64 1/2))))
(fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2))
(+.f64 (.f64 1/2 (/.f64 (.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) (*.f64 -1/4 (/.f64 x (sqrt.f64 1/2)))))
(fma.f64 1/2 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 -1/4 (sqrt.f64 1/2)) 2)) (/.f64 (sqrt.f64 1/2) (.f64 x x))) (+.f64 (sqrt.f64 1/2) (.f64 -1/4 (/.f64 x (sqrt.f64 1/2)))))
(fma.f64 1/2 (.f64 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 -1/4 (sqrt.f64 1/2)) 2)) (sqrt.f64 1/2)) (.f64 x x)) (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2)))
(fma.f64 1/2 (.f64 (.f64 x x) (-.f64 (/.f64 1/2 (sqrt.f64 1/2)) (/.f64 (/.f64 1/16 (sqrt.f64 1/2)) 1/2))) (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2)))
(fma.f64 1/2 (.f64 (.f64 x x) (+.f64 (/.f64 1/2 (sqrt.f64 1/2)) (/.f64 (/.f64 -1/16 (sqrt.f64 1/2)) 1/2))) (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2)))
(+.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)))) (pow.f64 x 3)) (sqrt.f64 1/2))) (+.f64 (.f64 1/2 (/.f64 (.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) (.f64 -1/4 (/.f64 x (sqrt.f64 1/2))))))
(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) (pow.f64 x 3))) (fma.f64 1/2 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 -1/4 (sqrt.f64 1/2)) 2)) (/.f64 (sqrt.f64 1/2) (.f64 x x))) (+.f64 (sqrt.f64 1/2) (*.f64 -1/4 (/.f64 x (sqrt.f64 1/2))))))
(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) (pow.f64 x 3))) (fma.f64 1/2 (.f64 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 -1/4 (sqrt.f64 1/2)) 2)) (sqrt.f64 1/2)) (.f64 x x)) (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2))))
(+.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2)) (fma.f64 1/2 (.f64 (.f64 x x) (-.f64 (/.f64 1/2 (sqrt.f64 1/2)) (/.f64 (/.f64 1/16 (sqrt.f64 1/2)) 1/2))) (/.f64 (*.f64 (pow.f64 x 3) -5/32) (sqrt.f64 1/2))))
(+.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2)) (.f64 (.f64 x x) (+.f64 (/.f64 (*.f64 1/2 (-.f64 1/2 (pow.f64 (/.f64 -1/4 (sqrt.f64 1/2)) 2))) (sqrt.f64 1/2)) (/.f64 -5/32 (/.f64 (sqrt.f64 1/2) x)))))

localize64.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.5b	(cbrt.f64 (/.f64 x (tan.f64 B)))
✓	0.8b	(pow.f64 (cbrt.f64 (/.f64 x (tan.f64 B))) 3)
	5.1b	(.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (.f64 F F) 2) (*.f64 2 x)) (neg.f64 (/.f64 1 2))))
	13.8b	(pow.f64 (+.f64 (+.f64 (.f64 F F) 2) (.f64 2 x)) (neg.f64 (/.f64 1 2)))

Compiler

Compiled 129 to 69 computations (46.5% saved)

series15.0ms (0%)

Counts

2 → 16

Calls

12 calls:

Time	Variable		Point	Expression
4.0ms	B	@	-inf	(pow.f64 (cbrt.f64 (/.f64 x (tan.f64 B))) 3)
3.0ms	B	@	inf	(pow.f64 (cbrt.f64 (/.f64 x (tan.f64 B))) 3)
2.0ms	B	@	0	(pow.f64 (cbrt.f64 (/.f64 x (tan.f64 B))) 3)
2.0ms	x	@	-inf	(pow.f64 (cbrt.f64 (/.f64 x (tan.f64 B))) 3)
1.0ms	x	@	0	(pow.f64 (cbrt.f64 (/.f64 x (tan.f64 B))) 3)

rewrite67.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

752×	`pow1_binary64`
705×	`add-log-exp_binary64`
705×	`log1p-expm1-u_binary64`
705×	`expm1-log1p-u_binary64`
688×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	14
1	175	14
2	1927	14

Stop Event

1×	node limit

Counts

2 → 73

Calls

Call 1

Inputs
(pow.f64 (cbrt.f64 (/.f64 x (tan.f64 B))) 3)
(cbrt.f64 (/.f64 x (tan.f64 B)))

Outputs

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

simplify214.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1290×	`sqr-pow_binary64`
666×	`pow-sqr_binary64`
625×	`cube-prod_binary64`
560×	`fabs-mul_binary64`
373×	`unpow3_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	216
1	33	192
2	59	192
3	83	192
4	127	192
5	219	192
6	589	192
7	1253	192
8	1345	192
9	1483	192
10	1646	192
11	1885	192
12	2212	192
13	2641	192
14	3149	192
15	3755	192
16	4484	192
17	4807	192
18	5091	192
19	5311	192
20	5489	192
21	5573	192
22	6516	192
23	7493	192
24	7959	192

Stop Event

1×	node limit

Counts

89 → 78

Calls

Call 1

Inputs
(.f64 (pow.f64 1 1/3) (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B)))
(.f64 (pow.f64 1 1/3) (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B)))
(.f64 (pow.f64 1 1/3) (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B)))
(.f64 (pow.f64 1 1/3) (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B)))
(.f64 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B)) (pow.f64 1 1/3))
(.f64 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B)) (pow.f64 1 1/3))
(.f64 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B)) (pow.f64 1 1/3))
(.f64 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B)) (pow.f64 1 1/3))
(pow.f64 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)) 1/3)
(pow.f64 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)) 1/3)
(pow.f64 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)) 1/3)
(pow.f64 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)) 1/3)
(pow.f64 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)) 1/3)
(pow.f64 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)) 1/3)
(pow.f64 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)) 1/3)
(pow.f64 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)) 1/3)

Outputs
(.f64 (pow.f64 1 1/3) (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B)))
(.f64 1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B)))
(*.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 (/.f64 (sin.f64 B) (cos.f64 B)))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(.f64 (pow.f64 1 1/3) (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B)))
(.f64 1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B)))
(*.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 (/.f64 (sin.f64 B) (cos.f64 B)))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(.f64 (pow.f64 1 1/3) (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B)))
(.f64 1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B)))
(*.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 (/.f64 (sin.f64 B) (cos.f64 B)))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(.f64 (pow.f64 1 1/3) (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B)))
(.f64 1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B)))
(*.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 (/.f64 (sin.f64 B) (cos.f64 B)))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(.f64 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B)) (pow.f64 1 1/3))
(.f64 1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B)))
(*.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 (/.f64 (sin.f64 B) (cos.f64 B)))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(.f64 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B)) (pow.f64 1 1/3))
(.f64 1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B)))
(*.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 (/.f64 (sin.f64 B) (cos.f64 B)))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(.f64 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B)) (pow.f64 1 1/3))
(.f64 1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B)))
(*.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 (/.f64 (sin.f64 B) (cos.f64 B)))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(.f64 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B)) (pow.f64 1 1/3))
(.f64 1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B)))
(*.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 (/.f64 (sin.f64 B) (cos.f64 B)))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(pow.f64 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)) 1/3)
(cbrt.f64 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(cbrt.f64 (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(cbrt.f64 (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B))))
(cbrt.f64 (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))))
(cbrt.f64 (/.f64 x (/.f64 (sin.f64 B) (cos.f64 B))))
(cbrt.f64 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(pow.f64 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)) 1/3)
(cbrt.f64 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(cbrt.f64 (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(cbrt.f64 (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B))))
(cbrt.f64 (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))))
(cbrt.f64 (/.f64 x (/.f64 (sin.f64 B) (cos.f64 B))))
(cbrt.f64 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(pow.f64 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)) 1/3)
(cbrt.f64 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(cbrt.f64 (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(cbrt.f64 (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B))))
(cbrt.f64 (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))))
(cbrt.f64 (/.f64 x (/.f64 (sin.f64 B) (cos.f64 B))))
(cbrt.f64 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(pow.f64 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)) 1/3)
(cbrt.f64 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(cbrt.f64 (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(cbrt.f64 (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B))))
(cbrt.f64 (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))))
(cbrt.f64 (/.f64 x (/.f64 (sin.f64 B) (cos.f64 B))))
(cbrt.f64 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(pow.f64 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)) 1/3)
(cbrt.f64 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(cbrt.f64 (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(cbrt.f64 (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B))))
(cbrt.f64 (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))))
(cbrt.f64 (/.f64 x (/.f64 (sin.f64 B) (cos.f64 B))))
(cbrt.f64 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(pow.f64 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)) 1/3)
(cbrt.f64 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(cbrt.f64 (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(cbrt.f64 (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B))))
(cbrt.f64 (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))))
(cbrt.f64 (/.f64 x (/.f64 (sin.f64 B) (cos.f64 B))))
(cbrt.f64 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(pow.f64 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)) 1/3)
(cbrt.f64 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(cbrt.f64 (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(cbrt.f64 (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B))))
(cbrt.f64 (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))))
(cbrt.f64 (/.f64 x (/.f64 (sin.f64 B) (cos.f64 B))))
(cbrt.f64 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(pow.f64 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)) 1/3)
(cbrt.f64 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(cbrt.f64 (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(cbrt.f64 (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B))))
(cbrt.f64 (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))))
(cbrt.f64 (/.f64 x (/.f64 (sin.f64 B) (cos.f64 B))))
(cbrt.f64 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))

eval952.0ms (1.9%)

Compiler: Compiled 39851 to 24483 computations (38.6% saved)

prune231.0ms (0.5%)

Pruning

49 alts after pruning (48 fresh and 1 done)

	Pruned	Kept	Total
New	1066	40	1106
Fresh	18	8	26
Picked	1	0	1
Done	3	1	4
Total	1088	49	1137

Error

Counts

1137 → 49

Alt Table

Click to see full alt table

Status	Error	Program
	17.8b	(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (cbrt.f64 (pow.f64 (/.f64 (/.f64 F (sin.f64 B)) (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2)))) 3)))
	52.0b	(/.f64 (-.f64 -1 x) B)
	49.9b	(neg.f64 (/.f64 x B))
	24.3b	(+.f64 (.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (.f64 2 x) 2)))) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))
	55.0b	(-.f64 (+.f64 1 (/.f64 -1 (sin.f64 B))) 1)
	28.9b	(*.f64 x (/.f64 (neg.f64 (cos.f64 B)) (sin.f64 B)))
	26.9b	(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 F (/.f64 (sin.f64 B) (+.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)))))))
	30.0b	(+.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)))))
	48.6b	(*.f64 (/.f64 (sqrt.f64 1/2) (sin.f64 B)) F)
	32.4b	(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 (sin.f64 B)))
	50.6b	(/.f64 (+.f64 (.f64 F (/.f64 1 F)) (.f64 -1 x)) B)
	36.5b	(/.f64 (+.f64 (/.f64 F (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2)))) (*.f64 -1 x)) B)
	24.3b	(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 F (/.f64 (sin.f64 B) (sqrt.f64 (/.f64 1 (+.f64 (.f64 2 x) 2))))))
	8.4b	(+.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)))))
	53.9b	(/.f64 (+.f64 (+.f64 1 (/.f64 (-.f64 -1 x) (.f64 F F))) (.f64 -1 x)) B)
	29.5b	(fma.f64 (/.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 2 (*.f64 2 x)))) (/.f64 (neg.f64 x) (tan.f64 B)))
	48.6b	(/.f64 (*.f64 (sqrt.f64 1/2) F) (sin.f64 B))
	53.8b	(+.f64 (/.f64 (-.f64 -1 x) (.f64 F (.f64 F B))) (/.f64 (-.f64 1 x) B))
	55.9b	(/.f64 (+.f64 (.f64 F (sqrt.f64 (/.f64 1/2 x))) (.f64 -1 x)) B)
▶	59.1b	(/.f64 -1 (+.f64 (*.f64 -1/6 (pow.f64 B 3)) B))
	8.4b	(+.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)))))
▶	59.0b	(/.f64 -1 B)
	52.0b	(*.f64 (sqrt.f64 (/.f64 1 (fma.f64 F F 2))) (/.f64 F B))
	50.6b	(/.f64 (-.f64 1 x) B)
	54.9b	(/.f64 1 (sin.f64 B))
▶	8.4b	(+.f64 (neg.f64 (.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))) (.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (.f64 F F) 2) (.f64 2 x)) (neg.f64 (/.f64 1 2)))))
	32.9b	(-.f64 (/.f64 -1 (sin.f64 B)) (/.f64 x (/.f64 (sin.f64 B) (cos.f64 B))))
	33.7b	(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 F (.f64 (sin.f64 B) (neg.f64 F))))
	36.1b	(fma.f64 (/.f64 F (sin.f64 B)) (/.f64 1 F) (/.f64 (neg.f64 x) (tan.f64 B)))
	45.1b	(/.f64 (fma.f64 F (sqrt.f64 (/.f64 1 (fma.f64 x 2 2))) (neg.f64 x)) B)
	58.8b	(/.f64 -1 (-.f64 (+.f64 1 (sin.f64 B)) 1))
▶	24.3b	(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 F (.f64 (sin.f64 B) (sqrt.f64 (+.f64 (*.f64 2 x) 2)))))
	33.2b	(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 F (/.f64 (sin.f64 B) (/.f64 1 F))))
	9.0b	(+.f64 (neg.f64 (/.f64 (/.f64 x (pow.f64 (cbrt.f64 (tan.f64 B)) 2)) (cbrt.f64 (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)))))
	23.0b	(+.f64 (fma.f64 (cbrt.f64 (pow.f64 (/.f64 F (sin.f64 B)) 2)) (.f64 (cbrt.f64 (/.f64 F (sin.f64 B))) (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)) (neg.f64 (.f64 (/.f64 x (tan.f64 B)) -1))) (fma.f64 (/.f64 x (tan.f64 B)) -1 (*.f64 (/.f64 x (tan.f64 B)) -1)))
▶	32.9b	(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 -1 (sin.f64 B)))
	59.8b	(-.f64 (+.f64 (.f64 -7/360 (pow.f64 B 3)) (.f64 -1/6 B)) (/.f64 1 B))
✓	55.0b	(/.f64 -1 (sin.f64 B))
	52.0b	(/.f64 (+.f64 (.f64 F (/.f64 -1 F)) (.f64 -1 x)) B)
	55.0b	(/.f64 -1 (log1p.f64 (expm1.f64 (sin.f64 B))))
	55.6b	(+.f64 (.f64 1/2 (/.f64 (fma.f64 2 x 2) (.f64 F (*.f64 F B)))) (/.f64 (-.f64 -1 x) B))
	45.1b	(/.f64 (+.f64 (.f64 F (sqrt.f64 (/.f64 1 (+.f64 (.f64 2 x) 2)))) (*.f64 -1 x)) B)
	48.8b	(.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (.f64 2 x) 2))))
	59.2b	(-.f64 (*.f64 -1/6 B) (/.f64 1 B))
	45.1b	(+.f64 (.f64 -1 (/.f64 x B)) (.f64 (/.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 2 x) 2)))))
	55.7b	(/.f64 (+.f64 (-.f64 (.f64 1/2 (/.f64 (+.f64 2 (.f64 2 x)) (pow.f64 F 2))) 1) (*.f64 -1 x)) B)
	32.6b	(+.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 x (tan.f64 B))) 3)) (/.f64 1 (sin.f64 B)))
	28.8b	(/.f64 (*.f64 x (neg.f64 (cos.f64 B))) (sin.f64 B))
	24.3b	(fma.f64 (/.f64 F (sin.f64 B)) (/.f64 1 (sqrt.f64 (fma.f64 2 x 2))) (/.f64 (neg.f64 x) (tan.f64 B)))

Compiler

Compiled 1739 to 1306 computations (24.9% saved)

localize51.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(/.f64 F (sin.f64 B))
✓	0.2b	(*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))
	5.1b	(.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (.f64 F F) 2) (*.f64 2 x)) (neg.f64 (/.f64 1 2))))
	13.8b	(pow.f64 (+.f64 (+.f64 (.f64 F F) 2) (.f64 2 x)) (neg.f64 (/.f64 1 2)))

Compiler

Compiled 123 to 61 computations (50.4% saved)

series5.0ms (0%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))
1.0ms	B	@	0	(*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))
1.0ms	B	@	inf	(*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))
1.0ms	B	@	-inf	(*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))
1.0ms	x	@	inf	(*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))

rewrite53.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

778×	`pow1_binary64`
716×	`add-log-exp_binary64`
716×	`log1p-expm1-u_binary64`
716×	`expm1-log1p-u_binary64`
699×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	144	11
2	1902	11

Stop Event

1×	node limit

Counts

1 → 23

Calls

Call 1

Inputs
(*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))

Outputs

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

simplify56.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

912×	`fma-def_binary64`
511×	`unsub-neg_binary64`
406×	`associate-+l+_binary64`
317×	`associate-+r+_binary64`
317×	`associate-l_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	42	352
1	110	326
2	309	302
3	1304	293
4	6291	293

Stop Event

1×	node limit

Counts

47 → 32

Calls

Call 1

Inputs
(/.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 (-.f64 (.f64 -1/2 x) (*.f64 -1/6 x)) B))
(+.f64 (/.f64 x B) (+.f64 (.f64 (-.f64 (.f64 -1/2 x) (.f64 -1/6 x)) B) (.f64 (-.f64 (.f64 1/24 x) (+.f64 (.f64 1/120 x) (.f64 -1/6 (-.f64 (.f64 -1/2 x) (*.f64 -1/6 x))))) (pow.f64 B 3))))
(+.f64 (/.f64 x B) (+.f64 (.f64 (-.f64 (.f64 -1/2 x) (.f64 -1/6 x)) B) (+.f64 (.f64 (-.f64 (.f64 -1/720 x) (+.f64 (.f64 -1/6 (-.f64 (.f64 1/24 x) (+.f64 (.f64 1/120 x) (.f64 -1/6 (-.f64 (.f64 -1/2 x) (.f64 -1/6 x)))))) (+.f64 (.f64 -1/5040 x) (.f64 1/120 (-.f64 (.f64 -1/2 x) (.f64 -1/6 x)))))) (pow.f64 B 5)) (.f64 (-.f64 (.f64 1/24 x) (+.f64 (.f64 1/120 x) (.f64 -1/6 (-.f64 (.f64 -1/2 x) (*.f64 -1/6 x))))) (pow.f64 B 3)))))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))

Outputs
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(*.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 (/.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 (/.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 (/.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 (/.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 (/.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 (/.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 (/.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 (/.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 (/.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 (/.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 (/.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 (-.f64 (.f64 -1/2 x) (*.f64 -1/6 x)) B))
(+.f64 (/.f64 x B) (.f64 B (.f64 x -1/3)))
(fma.f64 B (*.f64 x -1/3) (/.f64 x B))
(fma.f64 x (*.f64 B -1/3) (/.f64 x B))
(+.f64 (/.f64 x B) (+.f64 (.f64 (-.f64 (.f64 -1/2 x) (.f64 -1/6 x)) B) (.f64 (-.f64 (.f64 1/24 x) (+.f64 (.f64 1/120 x) (.f64 -1/6 (-.f64 (.f64 -1/2 x) (*.f64 -1/6 x))))) (pow.f64 B 3))))
(+.f64 (/.f64 x B) (fma.f64 (.f64 x -1/3) B (.f64 (-.f64 (.f64 x 1/24) (fma.f64 1/120 x (.f64 -1/6 (*.f64 x -1/3)))) (pow.f64 B 3))))
(+.f64 (/.f64 x B) (fma.f64 (-.f64 (.f64 x 1/30) (.f64 x 1/18)) (pow.f64 B 3) (.f64 B (.f64 x -1/3))))
(fma.f64 (.f64 x -1/45) (pow.f64 B 3) (fma.f64 x (.f64 B -1/3) (/.f64 x B)))
(+.f64 (/.f64 x B) (+.f64 (.f64 (-.f64 (.f64 -1/2 x) (.f64 -1/6 x)) B) (+.f64 (.f64 (-.f64 (.f64 -1/720 x) (+.f64 (.f64 -1/6 (-.f64 (.f64 1/24 x) (+.f64 (.f64 1/120 x) (.f64 -1/6 (-.f64 (.f64 -1/2 x) (.f64 -1/6 x)))))) (+.f64 (.f64 -1/5040 x) (.f64 1/120 (-.f64 (.f64 -1/2 x) (.f64 -1/6 x)))))) (pow.f64 B 5)) (.f64 (-.f64 (.f64 1/24 x) (+.f64 (.f64 1/120 x) (.f64 -1/6 (-.f64 (.f64 -1/2 x) (*.f64 -1/6 x))))) (pow.f64 B 3)))))
(+.f64 (/.f64 x B) (fma.f64 (.f64 x -1/3) B (fma.f64 (-.f64 (.f64 x -1/720) (fma.f64 -1/6 (-.f64 (.f64 x 1/24) (fma.f64 1/120 x (.f64 -1/6 (.f64 x -1/3)))) (fma.f64 -1/5040 x (.f64 (.f64 x -1/3) 1/120)))) (pow.f64 B 5) (.f64 (-.f64 (.f64 x 1/24) (fma.f64 1/120 x (.f64 -1/6 (*.f64 x -1/3)))) (pow.f64 B 3)))))
(+.f64 (fma.f64 B (.f64 x -1/3) (/.f64 x B)) (fma.f64 (-.f64 (.f64 x -1/720) (fma.f64 -1/6 (-.f64 (.f64 x 1/30) (.f64 x 1/18)) (fma.f64 x -1/5040 (.f64 x -1/360)))) (pow.f64 B 5) (.f64 (-.f64 (.f64 x 1/30) (.f64 x 1/18)) (pow.f64 B 3))))
(+.f64 (/.f64 x B) (fma.f64 B (.f64 x -1/3) (fma.f64 (-.f64 (.f64 x -1/720) (fma.f64 -1/6 (.f64 x -1/45) (.f64 x -1/336))) (pow.f64 B 5) (.f64 (.f64 x -1/45) (pow.f64 B 3)))))
(fma.f64 B (fma.f64 B (.f64 x (.f64 -1/45 B)) (.f64 x -1/3)) (fma.f64 (+.f64 (.f64 x -1/270) (*.f64 x 1/630)) (pow.f64 B 5) (/.f64 x B)))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(*.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 (/.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 (/.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 (/.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 (/.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 (/.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 (/.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 (/.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)))

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 (*.f64 -1/6 (pow.f64 B 3)) B)
✓	0.0b	(/.f64 -1 (+.f64 (*.f64 -1/6 (pow.f64 B 3)) B))
✓	0.2b	(*.f64 -1/6 (pow.f64 B 3))

Compiler

Compiled 31 to 24 computations (22.6% saved)

series5.0ms (0%)

Counts

3 → 21

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	B	@	0	(*.f64 -1/6 (pow.f64 B 3))
1.0ms	B	@	inf	(/.f64 -1 (+.f64 (*.f64 -1/6 (pow.f64 B 3)) B))
1.0ms	B	@	inf	(*.f64 -1/6 (pow.f64 B 3))
1.0ms	B	@	-inf	(/.f64 -1 (+.f64 (*.f64 -1/6 (pow.f64 B 3)) B))
1.0ms	B	@	-inf	(*.f64 -1/6 (pow.f64 B 3))

rewrite69.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

935×	`pow1_binary64`
876×	`add-log-exp_binary64`
876×	`log1p-expm1-u_binary64`
876×	`expm1-log1p-u_binary64`
859×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	26
1	200	26
2	2396	26

Stop Event

1×	node limit

Counts

3 → 69

Calls

Call 1

Inputs
(*.f64 -1/6 (pow.f64 B 3))
(/.f64 -1 (+.f64 (*.f64 -1/6 (pow.f64 B 3)) B))
(+.f64 (*.f64 -1/6 (pow.f64 B 3)) B)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 B 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -1/6 (pow.f64 B 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 B (cbrt.f64 -1/6)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 -1/6) (pow.f64 B 3/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (pow.f64 B 3) 3) -1/216) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 B 6) 1/36))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -1/6) (pow.f64 B 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (pow.f64 B 3) 3) -1/216))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -1/6 (pow.f64 B 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -1/6 (pow.f64 B 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -1/6 (pow.f64 B 3))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 -1 (fma.f64 -1/6 (pow.f64 B 3) B))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (fma.f64 -1/6 (pow.f64 B 3) B)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (fma.f64 -1/6 (pow.f64 B 3) B)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 -1 (fma.f64 -1/6 (pow.f64 B 3) B)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (cbrt.f64 (fma.f64 -1/6 (pow.f64 B 3) B))) (pow.f64 (/.f64 -1 (cbrt.f64 (fma.f64 -1/6 (pow.f64 B 3) B))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 -1 (cbrt.f64 (fma.f64 -1/6 (pow.f64 B 3) B))) 2) (/.f64 -1 (cbrt.f64 (fma.f64 -1/6 (pow.f64 B 3) B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 -1 (fma.f64 -1/6 (pow.f64 B 3) B))) (sqrt.f64 (/.f64 -1 (fma.f64 -1/6 (pow.f64 B 3) B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 -1/6 (pow.f64 B 3) B)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (+.f64 (pow.f64 B 3) (*.f64 (pow.f64 (pow.f64 B 3) 3) -1/216))) (+.f64 (*.f64 (pow.f64 B 6) 1/36) (*.f64 B (-.f64 B (*.f64 -1/6 (pow.f64 B 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (-.f64 (*.f64 (pow.f64 B 6) 1/36) (*.f64 B B))) (-.f64 (*.f64 -1/6 (pow.f64 B 3)) B))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -1 (fma.f64 -1/6 (pow.f64 B 3) B)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 -1 (fma.f64 -1/6 (pow.f64 B 3) B)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -1 (cbrt.f64 (fma.f64 -1/6 (pow.f64 B 3) B))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 -1 (fma.f64 -1/6 (pow.f64 B 3) B))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (neg.f64 (fma.f64 -1/6 (pow.f64 B 3) B)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (fma.f64 -1/6 (pow.f64 B 3) B) -1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 1 (fma.f64 -1/6 (pow.f64 B 3) B)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 -1 (fma.f64 -1/6 (pow.f64 B 3) B)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 -1 (fma.f64 -1/6 (pow.f64 B 3) B))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 -1 (fma.f64 -1/6 (pow.f64 B 3) B)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 -1 (fma.f64 -1/6 (pow.f64 B 3) B))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 -1 (fma.f64 -1/6 (pow.f64 B 3) B))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 -1 (fma.f64 -1/6 (pow.f64 B 3) B))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 B 3) B)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (pow.f64 B 6) 1/36) (-.f64 (*.f64 -1/6 (pow.f64 B 3)) B)) (/.f64 (*.f64 B B) (-.f64 (*.f64 -1/6 (pow.f64 B 3)) B)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 -1/6 (pow.f64 B 3) B) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 -1/6 (pow.f64 B 3) B))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 B 3) B)) (pow.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 B 3) B)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 B 3) B)) 2) (cbrt.f64 (fma.f64 -1/6 (pow.f64 B 3) B)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 -1/6 (pow.f64 B 3) B)) (sqrt.f64 (fma.f64 -1/6 (pow.f64 B 3) B)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 B 3) (*.f64 (pow.f64 (pow.f64 B 3) 3) -1/216)) (/.f64 1 (+.f64 (*.f64 (pow.f64 B 6) 1/36) (*.f64 B (-.f64 B (*.f64 -1/6 (pow.f64 B 3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 (pow.f64 B 6) 1/36) (*.f64 B B)) (/.f64 1 (-.f64 (*.f64 -1/6 (pow.f64 B 3)) B)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (*.f64 (pow.f64 B 6) 1/36) (*.f64 B (-.f64 B (*.f64 -1/6 (pow.f64 B 3))))) (+.f64 (pow.f64 B 3) (*.f64 (pow.f64 (pow.f64 B 3) 3) -1/216))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (*.f64 -1/6 (pow.f64 B 3)) B) (-.f64 (*.f64 (pow.f64 B 6) 1/36) (*.f64 B B))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 B 3) (*.f64 (pow.f64 (pow.f64 B 3) 3) -1/216)) (+.f64 (*.f64 (pow.f64 B 6) 1/36) (*.f64 B (-.f64 B (*.f64 -1/6 (pow.f64 B 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 B 3) (*.f64 (pow.f64 (pow.f64 B 3) 3) -1/216)) (+.f64 (*.f64 B B) (-.f64 (*.f64 (pow.f64 B 6) 1/36) (*.f64 B (*.f64 -1/6 (pow.f64 B 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (pow.f64 B 6) 1/36) (*.f64 B B)) (-.f64 (*.f64 -1/6 (pow.f64 B 3)) B))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 B 3) (*.f64 (pow.f64 (pow.f64 B 3) 3) -1/216))) (neg.f64 (+.f64 (*.f64 (pow.f64 B 6) 1/36) (*.f64 B (-.f64 B (*.f64 -1/6 (pow.f64 B 3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 B 6) 1/36) (*.f64 B B))) (neg.f64 (-.f64 (*.f64 -1/6 (pow.f64 B 3)) B)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 B B) (*.f64 (pow.f64 B 6) 1/36)) (-.f64 B (*.f64 -1/6 (pow.f64 B 3))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 -1/6 (pow.f64 B 3) B) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 B 3) B) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 B 3) B)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 -1/6 (pow.f64 B 3) B)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 B 3) B) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 -1/6 (pow.f64 B 3) B)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 B 3) B) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 -1/6 (pow.f64 B 3) B)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 -1/6 (pow.f64 B 3) B)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 -1/6 (pow.f64 B 3) B)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1/6 (pow.f64 B 3) B)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 B 3) -1/6 B)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 B (*.f64 -1/6 (pow.f64 B 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 -1/6 (pow.f64 B 3)) B)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (*.f64 B (cbrt.f64 -1/6)) 2) (*.f64 B (cbrt.f64 -1/6)) B)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 B) 2) (cbrt.f64 B) (*.f64 -1/6 (pow.f64 B 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 -1/6) (pow.f64 B 3/2)) (*.f64 (sqrt.f64 -1/6) (pow.f64 B 3/2)) B)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 B) (sqrt.f64 B) (*.f64 -1/6 (pow.f64 B 3)))))))

simplify47.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

865×	`fma-def_binary64`
710×	`times-frac_binary64`
445×	`associate-/l*_binary64`
412×	`associate-*l/_binary64`
379×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	44	294
1	110	276
2	258	276
3	608	276
4	1286	276
5	3477	276

Stop Event

1×	node limit

Counts

90 → 86

Calls

Call 1

Inputs
(/.f64 -1 B)
(-.f64 (*.f64 -1/6 B) (/.f64 1 B))
(-.f64 (+.f64 (.f64 -1/6 B) (.f64 -1/36 (pow.f64 B 3))) (/.f64 1 B))
(-.f64 (+.f64 (.f64 -1/216 (pow.f64 B 5)) (+.f64 (.f64 -1/6 B) (*.f64 -1/36 (pow.f64 B 3)))) (/.f64 1 B))
(/.f64 6 (pow.f64 B 3))
(+.f64 (.f64 36 (/.f64 1 (pow.f64 B 5))) (.f64 6 (/.f64 1 (pow.f64 B 3))))
(+.f64 (.f64 216 (/.f64 1 (pow.f64 B 7))) (+.f64 (.f64 36 (/.f64 1 (pow.f64 B 5))) (*.f64 6 (/.f64 1 (pow.f64 B 3)))))
(+.f64 (.f64 216 (/.f64 1 (pow.f64 B 7))) (+.f64 (.f64 1296 (/.f64 1 (pow.f64 B 9))) (+.f64 (.f64 36 (/.f64 1 (pow.f64 B 5))) (.f64 6 (/.f64 1 (pow.f64 B 3))))))
(/.f64 6 (pow.f64 B 3))
(+.f64 (.f64 36 (/.f64 1 (pow.f64 B 5))) (.f64 6 (/.f64 1 (pow.f64 B 3))))
(+.f64 (.f64 216 (/.f64 1 (pow.f64 B 7))) (+.f64 (.f64 36 (/.f64 1 (pow.f64 B 5))) (*.f64 6 (/.f64 1 (pow.f64 B 3)))))
(+.f64 (.f64 216 (/.f64 1 (pow.f64 B 7))) (+.f64 (.f64 1296 (/.f64 1 (pow.f64 B 9))) (+.f64 (.f64 36 (/.f64 1 (pow.f64 B 5))) (.f64 6 (/.f64 1 (pow.f64 B 3))))))
B
(*.f64 -1/6 (pow.f64 B 3))
(+.f64 B (*.f64 -1/6 (pow.f64 B 3)))
(+.f64 B (*.f64 -1/6 (pow.f64 B 3)))
(+.f64 B (*.f64 -1/6 (pow.f64 B 3)))
(*.f64 -1/6 (pow.f64 B 3))
(+.f64 B (*.f64 -1/6 (pow.f64 B 3)))
(+.f64 B (*.f64 -1/6 (pow.f64 B 3)))
(+.f64 B (*.f64 -1/6 (pow.f64 B 3)))

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 -1/6 B) (.f64 -1/36 (pow.f64 B 3))) (/.f64 1 B))
(-.f64 (fma.f64 -1/6 B (*.f64 -1/36 (pow.f64 B 3))) (/.f64 1 B))
(fma.f64 B -1/6 (fma.f64 -1/36 (pow.f64 B 3) (/.f64 -1 B)))
(fma.f64 B (fma.f64 B (*.f64 B -1/36) -1/6) (/.f64 -1 B))
(-.f64 (+.f64 (.f64 -1/216 (pow.f64 B 5)) (+.f64 (.f64 -1/6 B) (*.f64 -1/36 (pow.f64 B 3)))) (/.f64 1 B))
(-.f64 (fma.f64 -1/216 (pow.f64 B 5) (fma.f64 -1/6 B (*.f64 -1/36 (pow.f64 B 3)))) (/.f64 1 B))
(fma.f64 -1/216 (pow.f64 B 5) (fma.f64 B -1/6 (fma.f64 -1/36 (pow.f64 B 3) (/.f64 -1 B))))
(fma.f64 B -1/6 (fma.f64 -1/36 (pow.f64 B 3) (fma.f64 -1/216 (pow.f64 B 5) (/.f64 -1 B))))
(fma.f64 -1/216 (pow.f64 B 5) (fma.f64 B (fma.f64 B (*.f64 B -1/36) -1/6) (/.f64 -1 B)))
(/.f64 6 (pow.f64 B 3))
(+.f64 (.f64 36 (/.f64 1 (pow.f64 B 5))) (.f64 6 (/.f64 1 (pow.f64 B 3))))
(+.f64 (/.f64 36 (pow.f64 B 5)) (/.f64 6 (pow.f64 B 3)))
(+.f64 (.f64 216 (/.f64 1 (pow.f64 B 7))) (+.f64 (.f64 36 (/.f64 1 (pow.f64 B 5))) (*.f64 6 (/.f64 1 (pow.f64 B 3)))))
(+.f64 (+.f64 (/.f64 36 (pow.f64 B 5)) (/.f64 6 (pow.f64 B 3))) (/.f64 216 (pow.f64 B 7)))
(+.f64 (/.f64 36 (pow.f64 B 5)) (+.f64 (/.f64 6 (pow.f64 B 3)) (/.f64 216 (pow.f64 B 7))))
(+.f64 (/.f64 6 (pow.f64 B 3)) (+.f64 (/.f64 36 (pow.f64 B 5)) (/.f64 216 (pow.f64 B 7))))
(+.f64 (.f64 216 (/.f64 1 (pow.f64 B 7))) (+.f64 (.f64 1296 (/.f64 1 (pow.f64 B 9))) (+.f64 (.f64 36 (/.f64 1 (pow.f64 B 5))) (.f64 6 (/.f64 1 (pow.f64 B 3))))))
(+.f64 (/.f64 216 (pow.f64 B 7)) (+.f64 (+.f64 (/.f64 1296 (pow.f64 B 9)) (/.f64 36 (pow.f64 B 5))) (/.f64 6 (pow.f64 B 3))))
(+.f64 (+.f64 (/.f64 36 (pow.f64 B 5)) (/.f64 6 (pow.f64 B 3))) (+.f64 (/.f64 216 (pow.f64 B 7)) (/.f64 1296 (pow.f64 B 9))))
(+.f64 (/.f64 36 (pow.f64 B 5)) (+.f64 (/.f64 6 (pow.f64 B 3)) (+.f64 (/.f64 216 (pow.f64 B 7)) (/.f64 1296 (pow.f64 B 9)))))
(+.f64 (+.f64 (/.f64 6 (pow.f64 B 3)) (+.f64 (/.f64 36 (pow.f64 B 5)) (/.f64 216 (pow.f64 B 7)))) (/.f64 1296 (pow.f64 B 9)))
(/.f64 6 (pow.f64 B 3))
(+.f64 (.f64 36 (/.f64 1 (pow.f64 B 5))) (.f64 6 (/.f64 1 (pow.f64 B 3))))
(+.f64 (/.f64 36 (pow.f64 B 5)) (/.f64 6 (pow.f64 B 3)))
(+.f64 (.f64 216 (/.f64 1 (pow.f64 B 7))) (+.f64 (.f64 36 (/.f64 1 (pow.f64 B 5))) (*.f64 6 (/.f64 1 (pow.f64 B 3)))))
(+.f64 (+.f64 (/.f64 36 (pow.f64 B 5)) (/.f64 6 (pow.f64 B 3))) (/.f64 216 (pow.f64 B 7)))
(+.f64 (/.f64 36 (pow.f64 B 5)) (+.f64 (/.f64 6 (pow.f64 B 3)) (/.f64 216 (pow.f64 B 7))))
(+.f64 (/.f64 6 (pow.f64 B 3)) (+.f64 (/.f64 36 (pow.f64 B 5)) (/.f64 216 (pow.f64 B 7))))
(+.f64 (.f64 216 (/.f64 1 (pow.f64 B 7))) (+.f64 (.f64 1296 (/.f64 1 (pow.f64 B 9))) (+.f64 (.f64 36 (/.f64 1 (pow.f64 B 5))) (.f64 6 (/.f64 1 (pow.f64 B 3))))))
(+.f64 (/.f64 216 (pow.f64 B 7)) (+.f64 (+.f64 (/.f64 1296 (pow.f64 B 9)) (/.f64 36 (pow.f64 B 5))) (/.f64 6 (pow.f64 B 3))))
(+.f64 (+.f64 (/.f64 36 (pow.f64 B 5)) (/.f64 6 (pow.f64 B 3))) (+.f64 (/.f64 216 (pow.f64 B 7)) (/.f64 1296 (pow.f64 B 9))))
(+.f64 (/.f64 36 (pow.f64 B 5)) (+.f64 (/.f64 6 (pow.f64 B 3)) (+.f64 (/.f64 216 (pow.f64 B 7)) (/.f64 1296 (pow.f64 B 9)))))
(+.f64 (+.f64 (/.f64 6 (pow.f64 B 3)) (+.f64 (/.f64 36 (pow.f64 B 5)) (/.f64 216 (pow.f64 B 7)))) (/.f64 1296 (pow.f64 B 9)))
B
(*.f64 -1/6 (pow.f64 B 3))
(+.f64 B (*.f64 -1/6 (pow.f64 B 3)))
(fma.f64 -1/6 (pow.f64 B 3) B)
(+.f64 B (*.f64 -1/6 (pow.f64 B 3)))
(fma.f64 -1/6 (pow.f64 B 3) B)
(+.f64 B (*.f64 -1/6 (pow.f64 B 3)))
(fma.f64 -1/6 (pow.f64 B 3) B)
(*.f64 -1/6 (pow.f64 B 3))
(+.f64 B (*.f64 -1/6 (pow.f64 B 3)))
(fma.f64 -1/6 (pow.f64 B 3) B)
(+.f64 B (*.f64 -1/6 (pow.f64 B 3)))
(fma.f64 -1/6 (pow.f64 B 3) B)
(+.f64 B (*.f64 -1/6 (pow.f64 B 3)))
(fma.f64 -1/6 (pow.f64 B 3) B)

localize23.0ms (0%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 -1 (sin.f64 B)))
	0.1b	(/.f64 -1 (sin.f64 B))
	0.2b	(/.f64 1 (tan.f64 B))
	0.3b	(*.f64 x (/.f64 1 (tan.f64 B)))

Compiler

Compiled 44 to 25 computations (43.2% saved)

series4.0ms (0%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	B	@	0	(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 -1 (sin.f64 B)))
1.0ms	B	@	inf	(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 -1 (sin.f64 B)))
1.0ms	B	@	-inf	(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 -1 (sin.f64 B)))
1.0ms	x	@	0	(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 -1 (sin.f64 B)))
0.0ms	x	@	inf	(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 -1 (sin.f64 B)))

rewrite69.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

587×	`log-prod_binary64`
421×	`fma-def_binary64`
338×	`pow-prod-down_binary64`
303×	`pow2_binary64`
250×	`fma-neg_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	16
1	256	14
2	3488	14

Stop Event

1×	node limit

Counts

1 → 101

Calls

Call 1

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

Outputs

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(#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (tan.f64 B)) x (/.f64 -1 (sin.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (tan.f64 B)) (neg.f64 x) (/.f64 -1 (sin.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 x (tan.f64 B)) 1 (/.f64 -1 (sin.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 x (tan.f64 B)) -1 (/.f64 -1 (sin.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (/.f64 x (tan.f64 B)) (/.f64 -1 (sin.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 -1 (sin.f64 B)) 1 (/.f64 x (tan.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 -1 (cbrt.f64 (sin.f64 B))) (cbrt.f64 (pow.f64 (sin.f64 B) -2)) (/.f64 x (tan.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (sin.f64 B) -2)) (/.f64 -1 (cbrt.f64 (sin.f64 B))) (/.f64 x (tan.f64 B)))))) 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(#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 -1 (tan.f64 B)) x (/.f64 -1 (sin.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 x) (/.f64 1 (tan.f64 B)) (/.f64 -1 (sin.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (tan.f64 B)) (/.f64 -1 (sin.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (tan.f64 B)) (/.f64 -1 (sin.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (tan.f64 B)) -2) (/.f64 x (cbrt.f64 (tan.f64 B))) (/.f64 -1 (sin.f64 B)))))) (#(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 -1 (sin.f64 B)))))) (#(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 -1 (sin.f64 B)))))) (#(struct:change 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simplify51.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

742×	`fma-neg_binary64`
712×	`cancel-sign-sub-inv_binary64`
590×	`associate-+l+_binary64`
486×	`associate-+r+_binary64`
295×	`distribute-neg-in_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	52	501
1	145	475
2	373	450
3	1322	442
4	4908	406

Stop Event

1×	node limit

Counts

125 → 115

Calls

Call 1

Inputs
(/.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)))
(*.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))))

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

localize36.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 82 to 52 computations (36.6% saved)

series12.0ms (0%)

Counts

2 → 44

Calls

15 calls:

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

rewrite67.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

602×	`log-prod_binary64`
349×	`pow-prod-down_binary64`
309×	`pow2_binary64`
217×	`pow1/3_binary64`
214×	`expm1-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	27
1	237	27
2	3127	27

Stop Event

1×	node limit

Counts

2 → 70

Calls

Call 1

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

Outputs

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

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

simplify59.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

564×	`fma-def_binary64`
415×	`associate-r_binary64`
398×	`fma-neg_binary64`
384×	`associate-l_binary64`
332×	`times-frac_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	116	1137
1	347	1108
2	1216	1003
3	6068	1001

Stop Event

1×	node limit

Counts

114 → 107

Calls

Call 1

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

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

eval472.0ms (1%)

Compiler: Compiled 17289 to 10315 computations (40.3% saved)

prune182.0ms (0.4%)

Pruning

49 alts after pruning (46 fresh and 3 done)

	Pruned	Kept	Total
New	656	18	674
Fresh	15	28	43
Picked	1	0	1
Done	2	3	5
Total	674	49	723

Error

Counts

723 → 49

Alt Table

Click to see full alt table

Status	Error	Program
▶	8.7b	(+.f64 (neg.f64 (.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))) (.f64 (pow.f64 (cbrt.f64 (/.f64 F (sin.f64 B))) 3) (pow.f64 (+.f64 (+.f64 (.f64 F F) 2) (.f64 2 x)) (neg.f64 (/.f64 1 2)))))
▶	49.9b	(neg.f64 (/.f64 x B))
	29.5b	(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 F (.f64 (sqrt.f64 (+.f64 2 (*.f64 2 x))) B)))
	28.8b	(/.f64 (*.f64 x (neg.f64 (cos.f64 B))) (sin.f64 B))
	35.9b	(+.f64 (neg.f64 (/.f64 (/.f64 x (cbrt.f64 (pow.f64 (tan.f64 B) 2))) (cbrt.f64 (tan.f64 B)))) (/.f64 -1 (sin.f64 B)))
	23.4b	(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 F (/.f64 (sin.f64 B) (sqrt.f64 1/2))))
	50.6b	(/.f64 (+.f64 (.f64 F (/.f64 1 F)) (.f64 -1 x)) B)
	48.6b	(*.f64 (/.f64 (sqrt.f64 1/2) (sin.f64 B)) F)
	32.4b	(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 (sin.f64 B)))
	36.5b	(/.f64 (+.f64 (/.f64 F (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2)))) (*.f64 -1 x)) B)
	24.3b	(+.f64 (neg.f64 (.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)) (/.f64 F (.f64 (sin.f64 B) (sqrt.f64 (+.f64 (*.f64 2 x) 2)))))
	33.1b	(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 -1 B))
	53.9b	(/.f64 (+.f64 (+.f64 1 (/.f64 (-.f64 -1 x) (.f64 F F))) (.f64 -1 x)) B)
	29.5b	(fma.f64 (/.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 2 (*.f64 2 x)))) (/.f64 (neg.f64 x) (tan.f64 B)))
	32.9b	(.f64 (+.f64 (.f64 (cos.f64 B) x) 1) (/.f64 -1 (sin.f64 B)))
	48.6b	(/.f64 (*.f64 (sqrt.f64 1/2) F) (sin.f64 B))
	39.3b	(+.f64 (neg.f64 (/.f64 x B)) (/.f64 F (.f64 (sin.f64 B) (sqrt.f64 (+.f64 (.f64 2 x) 2)))))
	19.5b	(+.f64 (neg.f64 (.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))) (.f64 (/.f64 F B) (pow.f64 (+.f64 (+.f64 (.f64 F F) 2) (.f64 2 x)) (neg.f64 (/.f64 1 2)))))
	53.8b	(+.f64 (/.f64 (-.f64 -1 x) (.f64 F (.f64 F B))) (/.f64 (-.f64 1 x) B))
	55.9b	(/.f64 (+.f64 (.f64 F (sqrt.f64 (/.f64 1/2 x))) (.f64 -1 x)) B)
✓	59.0b	(/.f64 -1 B)
	52.0b	(*.f64 (sqrt.f64 (/.f64 1 (fma.f64 F F 2))) (/.f64 F B))
	50.6b	(/.f64 (-.f64 1 x) B)
	54.9b	(/.f64 1 (sin.f64 B))
	52.5b	(+.f64 (.f64 (-.f64 (.f64 1/3 x) 1/6) B) (*.f64 -1 (/.f64 (+.f64 1 x) B)))
	52.0b	(/.f64 (-.f64 -1 x) B)
	35.5b	(+.f64 (neg.f64 (.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))) (.f64 (.f64 (/.f64 (sqrt.f64 F) 1) (/.f64 (sqrt.f64 F) (sin.f64 B))) (pow.f64 (+.f64 (+.f64 (.f64 F F) 2) (*.f64 2 x)) (neg.f64 (/.f64 1 2)))))
	33.7b	(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 F (.f64 (sin.f64 B) (neg.f64 F))))
	58.8b	(/.f64 -1 (-.f64 (+.f64 1 (sin.f64 B)) 1))
	33.2b	(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 F (/.f64 (sin.f64 B) (/.f64 1 F))))
✓	32.9b	(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 -1 (sin.f64 B)))
✓	55.0b	(/.f64 -1 (sin.f64 B))
	62.6b	(/.f64 6 (pow.f64 B 3))
	32.9b	(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (/.f64 -1 (sin.f64 B)))
	52.0b	(/.f64 (+.f64 (.f64 F (/.f64 -1 F)) (.f64 -1 x)) B)
	45.1b	(/.f64 (+.f64 (.f64 F (sqrt.f64 (/.f64 1 (+.f64 (.f64 2 x) 2)))) (*.f64 -1 x)) B)
▶	32.8b	(-.f64 (/.f64 -1 (sin.f64 B)) (/.f64 x (tan.f64 B)))
▶	55.0b	(/.f64 -1 (log1p.f64 (expm1.f64 (sin.f64 B))))
	55.6b	(+.f64 (.f64 1/2 (/.f64 (fma.f64 2 x 2) (.f64 F (*.f64 F B)))) (/.f64 (-.f64 -1 x) B))
	57.9b	(/.f64 (fma.f64 -1 (pow.f64 (sin.f64 B) -3) (pow.f64 (/.f64 x (tan.f64 B)) 3)) (+.f64 (pow.f64 (/.f64 x (tan.f64 B)) 2) (+.f64 (pow.f64 (sin.f64 B) -2) (/.f64 (/.f64 x (tan.f64 B)) (sin.f64 B)))))
	48.8b	(.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (.f64 2 x) 2))))
	46.2b	(+.f64 (neg.f64 (expm1.f64 (log1p.f64 (/.f64 x (tan.f64 B))))) (/.f64 -1 (sin.f64 B)))
	59.2b	(-.f64 (*.f64 -1/6 B) (/.f64 1 B))
	45.1b	(+.f64 (.f64 -1 (/.f64 x B)) (.f64 (/.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 2 x) 2)))))
	55.7b	(/.f64 (+.f64 (-.f64 (.f64 1/2 (/.f64 (+.f64 2 (.f64 2 x)) (pow.f64 F 2))) 1) (*.f64 -1 x)) B)
	32.6b	(+.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 x (tan.f64 B))) 3)) (/.f64 1 (sin.f64 B)))
▶	55.0b	(-.f64 (+.f64 1 (/.f64 -1 (sin.f64 B))) 1)
	30.0b	(+.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)))))
	24.3b	(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (.f64 (/.f64 1 (sin.f64 B)) (/.f64 F (sqrt.f64 (fma.f64 2 x 2)))))

Compiler

Compiled 1594 to 1199 computations (24.8% saved)

localize58.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.6b	(pow.f64 (cbrt.f64 (/.f64 F (sin.f64 B))) 3)
✓	5.1b	(.f64 (pow.f64 (cbrt.f64 (/.f64 F (sin.f64 B))) 3) (pow.f64 (+.f64 (+.f64 (.f64 F F) 2) (*.f64 2 x)) (neg.f64 (/.f64 1 2))))
✓	5.3b	(cbrt.f64 (/.f64 F (sin.f64 B)))
	13.8b	(pow.f64 (+.f64 (+.f64 (.f64 F F) 2) (.f64 2 x)) (neg.f64 (/.f64 1 2)))

Compiler

Compiled 142 to 69 computations (51.4% saved)

series24.0ms (0%)

Counts

3 → 44

Calls

21 calls:

Time	Variable		Point	Expression
4.0ms	F	@	inf	(pow.f64 (cbrt.f64 (/.f64 F (sin.f64 B))) 3)
3.0ms	F	@	0	(.f64 (pow.f64 (cbrt.f64 (/.f64 F (sin.f64 B))) 3) (pow.f64 (+.f64 (+.f64 (.f64 F F) 2) (*.f64 2 x)) (neg.f64 (/.f64 1 2))))
2.0ms	B	@	0	(pow.f64 (cbrt.f64 (/.f64 F (sin.f64 B))) 3)
2.0ms	B	@	inf	(cbrt.f64 (/.f64 F (sin.f64 B)))
1.0ms	B	@	-inf	(cbrt.f64 (/.f64 F (sin.f64 B)))

rewrite83.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

815×	`log-prod_binary64`
421×	`fma-def_binary64`
316×	`expm1-udef_binary64`
316×	`log1p-udef_binary64`
265×	`log-pow_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	21	36
1	415	34
2	4873	34

Stop Event

1×	node limit

Counts

3 → 106

Calls

Call 1

Inputs

(cbrt.f64 (/.f64 F (sin.f64 B)))

(*.f64 (pow.f64 (cbrt.f64 (/.f64 F (sin.f64 B))) 3) (pow.f64 (+.f64 (+.f64 (*.f64 F F) 2) (*.f64 2 x)) (neg.f64 (/.f64 1 2))))

(pow.f64 (cbrt.f64 (/.f64 F (sin.f64 B))) 3)

Outputs

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

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

simplify77.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

799×	`fma-def_binary64`
517×	`fma-neg_binary64`
378×	`distribute-rgt-in_binary64`
376×	`distribute-lft-in_binary64`
360×	`*-commutative_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	185	1806
1	623	1573
2	1943	1390
3	7790	1386

Stop Event

1×	node limit

Counts

150 → 149

Calls

Call 1

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

Outputs
(pow.f64 (/.f64 F (sin.f64 B)) 1/3)
(cbrt.f64 (/.f64 F (sin.f64 B)))
(pow.f64 (/.f64 F (sin.f64 B)) 1/3)
(cbrt.f64 (/.f64 F (sin.f64 B)))
(pow.f64 (/.f64 F (sin.f64 B)) 1/3)
(cbrt.f64 (/.f64 F (sin.f64 B)))
(pow.f64 (/.f64 F (sin.f64 B)) 1/3)
(cbrt.f64 (/.f64 F (sin.f64 B)))
(pow.f64 (/.f64 F (sin.f64 B)) 1/3)
(cbrt.f64 (/.f64 F (sin.f64 B)))
(pow.f64 (/.f64 F (sin.f64 B)) 1/3)
(cbrt.f64 (/.f64 F (sin.f64 B)))
(pow.f64 (/.f64 F (sin.f64 B)) 1/3)
(cbrt.f64 (/.f64 F (sin.f64 B)))
(pow.f64 (/.f64 F (sin.f64 B)) 1/3)
(cbrt.f64 (/.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 (fma.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)))))
(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 F (sin.f64 B)) (/.f64 (.f64 (pow.f64 F 3) -1/2) (*.f64 (sin.f64 B) (fma.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))))))
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(fma.f64 (/.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 (fma.f64 2 x 2) (.f64 F F)))) (fma.f64 1/6 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (fma.f64 2 x 2) (.f64 F F)))) (.f64 F B)) (.f64 -1 (+.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (fma.f64 2 x 2) (.f64 F F)))) (.f64 (fma.f64 1/6 (.f64 F -7/360) (.f64 F 1/840)) (pow.f64 B 5))) (.f64 (sqrt.f64 (/.f64 1 (+.f64 (fma.f64 2 x 2) (.f64 F F)))) (.f64 (.f64 F -7/360) (pow.f64 B 3)))))))
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(.f64 (sqrt.f64 (/.f64 1 (fma.f64 F F (fma.f64 2 x 2)))) (+.f64 (fma.f64 1/6 (.f64 F B) (/.f64 F B)) (fma.f64 (.f64 F 7/360) (pow.f64 B 3) (.f64 (*.f64 F -31/15120) (neg.f64 (pow.f64 B 5))))))
(.f64 (sqrt.f64 (/.f64 1 (fma.f64 F F (fma.f64 2 x 2)))) (+.f64 (fma.f64 1/6 (.f64 F B) (/.f64 F B)) (fma.f64 (pow.f64 B 3) (.f64 F 7/360) (.f64 (*.f64 F -31/15120) (neg.f64 (pow.f64 B 5))))))
(.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) (+.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 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 2 (.f64 F F)))))
(*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (fma.f64 F F 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))))))
(fma.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 2 (.f64 F F)))) (neg.f64 (.f64 (/.f64 F (/.f64 (sin.f64 B) x)) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 2 (*.f64 F F)) 3))))))
(-.f64 (.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (fma.f64 F F 2)))) (.f64 (*.f64 (/.f64 F (sin.f64 B)) x) (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 F F 2) 3)))))
(-.f64 (.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (fma.f64 F F 2)))) (.f64 (*.f64 (/.f64 x (sin.f64 B)) F) (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 F F 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)))))))
(fma.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 2 (.f64 F F)))) (fma.f64 1/2 (.f64 (/.f64 F (/.f64 (sin.f64 B) (.f64 (-.f64 (/.f64 4 (pow.f64 (+.f64 2 (.f64 F F)) 3)) (pow.f64 (neg.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 2 (.f64 F F)) 3)))) 2)) (.f64 x x)))) (sqrt.f64 (+.f64 2 (.f64 F F)))) (neg.f64 (.f64 (/.f64 F (/.f64 (sin.f64 B) x)) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 2 (*.f64 F F)) 3)))))))
(-.f64 (fma.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (fma.f64 F F 2))) (.f64 1/2 (.f64 (.f64 (/.f64 F (sin.f64 B)) (.f64 x (.f64 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 (/.f64 F (sin.f64 B)) x) (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 F F 2) 3)))))
(-.f64 (fma.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (fma.f64 F F 2))) (/.f64 (.f64 F (.f64 1/2 (sqrt.f64 (fma.f64 F F 2)))) (/.f64 (/.f64 (sin.f64 B) (.f64 x x)) (-.f64 (/.f64 4 (pow.f64 (fma.f64 F F 2) 3)) (/.f64 1 (pow.f64 (fma.f64 F F 2) 3)))))) (.f64 (*.f64 (/.f64 x (sin.f64 B)) F) (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 F F 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)))))))
(fma.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 2 (.f64 F F)))) (fma.f64 1/2 (.f64 (/.f64 F (/.f64 (sin.f64 B) (.f64 (-.f64 (/.f64 4 (pow.f64 (+.f64 2 (.f64 F F)) 3)) (pow.f64 (neg.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 2 (.f64 F F)) 3)))) 2)) (.f64 x x)))) (sqrt.f64 (+.f64 2 (.f64 F F)))) (fma.f64 -1 (.f64 (/.f64 F (/.f64 (sin.f64 B) x)) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 2 (.f64 F F)) 3)))) (.f64 -1/2 (.f64 (sqrt.f64 (+.f64 2 (.f64 F F))) (/.f64 (.f64 F (.f64 (+.f64 (/.f64 8 (pow.f64 (+.f64 2 (.f64 F F)) 4)) (neg.f64 (/.f64 (-.f64 (/.f64 4 (pow.f64 (+.f64 2 (.f64 F F)) 3)) (pow.f64 (neg.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 2 (.f64 F F)) 3)))) 2)) (+.f64 2 (.f64 F F))))) (pow.f64 x 3))) (sin.f64 B)))))))
(fma.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (fma.f64 F F 2))) (fma.f64 1/2 (.f64 (.f64 (/.f64 F (sin.f64 B)) (.f64 x (.f64 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 (/.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 (.f64 (/.f64 F (sin.f64 B)) x) (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 F F 2) 3)))))))
(fma.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (fma.f64 F F 2))) (-.f64 (.f64 (sqrt.f64 (fma.f64 F F 2)) (+.f64 (.f64 1/2 (.f64 (/.f64 F (sin.f64 B)) (.f64 (-.f64 (/.f64 4 (pow.f64 (fma.f64 F F 2) 3)) (/.f64 1 (pow.f64 (fma.f64 F F 2) 3))) (.f64 x x)))) (.f64 -1/2 (.f64 (/.f64 F (sin.f64 B)) (.f64 (-.f64 (/.f64 8 (pow.f64 (fma.f64 F F 2) 4)) (-.f64 (.f64 (/.f64 1 (pow.f64 (fma.f64 F F 2) 4)) 4) (/.f64 1 (pow.f64 (fma.f64 F F 2) 4)))) (pow.f64 x 3)))))) (.f64 (*.f64 (/.f64 x (sin.f64 B)) F) (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 F F 2) 3))))))
(fma.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (fma.f64 F F 2))) (-.f64 (.f64 (sqrt.f64 (fma.f64 F F 2)) (+.f64 (.f64 1/2 (.f64 (/.f64 F (sin.f64 B)) (.f64 (-.f64 (/.f64 4 (pow.f64 (fma.f64 F F 2) 3)) (/.f64 1 (pow.f64 (fma.f64 F F 2) 3))) (.f64 x x)))) (.f64 -1/2 (.f64 (/.f64 F (sin.f64 B)) (.f64 (-.f64 (/.f64 8 (pow.f64 (fma.f64 F F 2) 4)) (fma.f64 (/.f64 1 (pow.f64 (fma.f64 F F 2) 4)) 4 (neg.f64 (/.f64 1 (pow.f64 (fma.f64 F F 2) 4))))) (pow.f64 x 3)))))) (.f64 (.f64 (/.f64 x (sin.f64 B)) F) (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 F F 2) 3))))))
(*.f64 (pow.f64 1 1/3) (/.f64 F (sin.f64 B)))
(*.f64 (/.f64 F (sin.f64 B)) 1)
(/.f64 F (sin.f64 B))
(*.f64 (pow.f64 1 1/3) (/.f64 F (sin.f64 B)))
(*.f64 (/.f64 F (sin.f64 B)) 1)
(/.f64 F (sin.f64 B))
(*.f64 (pow.f64 1 1/3) (/.f64 F (sin.f64 B)))
(*.f64 (/.f64 F (sin.f64 B)) 1)
(/.f64 F (sin.f64 B))
(*.f64 (pow.f64 1 1/3) (/.f64 F (sin.f64 B)))
(*.f64 (/.f64 F (sin.f64 B)) 1)
(/.f64 F (sin.f64 B))
(*.f64 (/.f64 F (sin.f64 B)) (pow.f64 1 1/3))
(*.f64 (/.f64 F (sin.f64 B)) 1)
(/.f64 F (sin.f64 B))
(*.f64 (/.f64 F (sin.f64 B)) (pow.f64 1 1/3))
(*.f64 (/.f64 F (sin.f64 B)) 1)
(/.f64 F (sin.f64 B))
(*.f64 (/.f64 F (sin.f64 B)) (pow.f64 1 1/3))
(*.f64 (/.f64 F (sin.f64 B)) 1)
(/.f64 F (sin.f64 B))
(*.f64 (/.f64 F (sin.f64 B)) (pow.f64 1 1/3))
(*.f64 (/.f64 F (sin.f64 B)) 1)
(/.f64 F (sin.f64 B))

localize5.0ms (0%)

Compiler: Compiled 12 to 5 computations (58.3% saved)

localize14.0ms (0%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(sin.f64 B)
	0.1b	(/.f64 -1 (sin.f64 B))
✓	0.1b	(-.f64 (+.f64 1 (/.f64 -1 (sin.f64 B))) 1)
✓	0.8b	(+.f64 1 (/.f64 -1 (sin.f64 B)))

Compiler

Compiled 26 to 18 computations (30.8% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite57.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

827×	`pow1_binary64`
771×	`add-log-exp_binary64`
770×	`log1p-expm1-u_binary64`
770×	`expm1-log1p-u_binary64`
758×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	21
1	174	15
2	2353	15

Stop Event

1×	node limit

Counts

2 → 85

Calls

Call 1

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

Outputs

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

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

simplify87.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

646×	`cancel-sign-sub-inv_binary64`
640×	`fma-def_binary64`
487×	`fma-neg_binary64`
466×	`neg-mul-1_binary64`
416×	`unswap-sqr_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	30	219
1	71	209
2	150	209
3	417	209
4	940	209
5	2235	209
6	4998	209
7	6351	209
8	7662	209

Stop Event

1×	node limit

Counts

109 → 100

Calls

Call 1

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

localize13.0ms (0%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(sin.f64 B)
✓	0.0b	(-.f64 (/.f64 -1 (sin.f64 B)) (/.f64 x (tan.f64 B)))
	0.1b	(/.f64 -1 (sin.f64 B))
✓	0.2b	(/.f64 x (tan.f64 B))

Compiler

Compiled 27 to 12 computations (55.6% saved)

series4.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite100.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

885×	`prod-diff_binary64`
517×	`log-prod_binary64`
330×	`fma-def_binary64`
283×	`pow2_binary64`
204×	`egg-rr`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	20
1	202	20
2	3000	20

Stop Event

1×	node limit

Counts

2 → 241

Calls

Call 1

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

Outputs

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(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 (/.f64 1 (pow.f64 (sin.f64 B) 2)) (pow.f64 (/.f64 x (tan.f64 B)) 2)) (/.f64 1 (+.f64 (/.f64 x (tan.f64 B)) (/.f64 -1 (sin.f64 B)))) (+.f64 (/.f64 (neg.f64 x) (tan.f64 B)) (/.f64 x (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 (neg.f64 x) (tan.f64 B))) 2) (cbrt.f64 (/.f64 (neg.f64 x) (tan.f64 B))) (/.f64 -1 (sin.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 (neg.f64 x) (tan.f64 B))) (sqrt.f64 (/.f64 (neg.f64 x) (tan.f64 B))) (/.f64 -1 (sin.f64 B)))))) (#(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 -1 (sin.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (/.f64 -1 (sin.f64 B))) (sqrt.f64 (/.f64 x (tan.f64 B)))) (-.f64 (sqrt.f64 (/.f64 -1 (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 -1 (sin.f64 B))) (sqrt.f64 (/.f64 x (tan.f64 B)))) (-.f64 (sqrt.f64 (/.f64 -1 (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 -1 (sin.f64 B))) (sqrt.f64 (/.f64 x (tan.f64 B)))) (-.f64 (sqrt.f64 (/.f64 -1 (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 -1 (sin.f64 B))) (sqrt.f64 (/.f64 x (tan.f64 B)))) (-.f64 (sqrt.f64 (/.f64 -1 (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 -1 (sin.f64 B)))))))

simplify66.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

698×	`sub-neg_binary64`
469×	`distribute-rgt-in_binary64`
445×	`distribute-lft-in_binary64`
429×	`cancel-sign-sub-inv_binary64`
349×	`fma-def_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	64	814
1	186	772
2	573	735
3	2557	727
4	6923	727

Stop Event

1×	node limit

Counts

289 → 264

Calls

Call 1

Inputs
(/.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 (+.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 (*.f64 (cos.f64 B) x) (sin.f64 B))
(*.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 (/.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 (/.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 (/.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 (/.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 (/.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 (/.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 (/.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 (/.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 (/.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 (/.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 (/.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)))
(fma.f64 (*.f64 B -1/3) 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))))
(fma.f64 -1 (.f64 (.f64 x 1/45) (pow.f64 B 3)) (+.f64 (/.f64 x B) (.f64 -1/3 (.f64 B x))))
(-.f64 (fma.f64 (.f64 B -1/3) x (/.f64 x B)) (.f64 x (*.f64 1/45 (pow.f64 B 3))))
(fma.f64 (pow.f64 B 3) (.f64 x -1/45) (fma.f64 B (.f64 x -1/3) (/.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 (fma.f64 17/315 x (fma.f64 -1/3 (.f64 x 1/45) (.f64 x -2/45))) (pow.f64 B 5)) (fma.f64 -1 (.f64 (.f64 x 1/45) (pow.f64 B 3)) (+.f64 (/.f64 x B) (.f64 -1/3 (*.f64 B x)))))
(-.f64 (-.f64 (fma.f64 (.f64 B -1/3) x (/.f64 x B)) (.f64 x (.f64 1/45 (pow.f64 B 3)))) (.f64 (+.f64 (.f64 x -1/135) (.f64 x 1/105)) (pow.f64 B 5)))
(-.f64 (fma.f64 B (.f64 x -1/3) (/.f64 x B)) (fma.f64 (.f64 x 2/945) (pow.f64 B 5) (.f64 (.f64 x 1/45) (pow.f64 B 3))))
(fma.f64 (pow.f64 B 3) (.f64 x -1/45) (fma.f64 (pow.f64 B 5) (.f64 x -2/945) (fma.f64 B (*.f64 x -1/3) (/.f64 x B))))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(*.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 (/.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 (/.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 (/.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 (/.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 (/.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 (/.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 (/.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 -1 (/.f64 (+.f64 1 x) B))
(neg.f64 (/.f64 (+.f64 x 1) B))
(/.f64 (neg.f64 (+.f64 x 1)) B)
(/.f64 (fma.f64 x -1 -1) B)
(/.f64 (-.f64 -1 x) B)
(+.f64 (.f64 (-.f64 (.f64 1/3 x) 1/6) B) (*.f64 -1 (/.f64 (+.f64 1 x) B)))
(fma.f64 (fma.f64 1/3 x -1/6) B (neg.f64 (/.f64 (+.f64 x 1) B)))
(-.f64 (*.f64 B (fma.f64 x 1/3 -1/6)) (/.f64 (+.f64 x 1) B))
(fma.f64 B (fma.f64 x 1/3 -1/6) (/.f64 (fma.f64 x -1 -1) B))
(fma.f64 B (fma.f64 x 1/3 -1/6) (/.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))))
(fma.f64 (fma.f64 1/3 x -1/6) B (fma.f64 -1 (/.f64 (+.f64 x 1) B) (.f64 (pow.f64 B 3) (+.f64 (.f64 x 1/45) -7/360))))
(fma.f64 B (fma.f64 x 1/3 -1/6) (-.f64 (*.f64 (pow.f64 B 3) (fma.f64 x 1/45 -7/360)) (/.f64 (+.f64 x 1) B)))
(fma.f64 B (fma.f64 x 1/3 -1/6) (fma.f64 (pow.f64 B 3) (fma.f64 x 1/45 -7/360) (/.f64 (fma.f64 x -1 -1) B)))
(fma.f64 B (fma.f64 x 1/3 -1/6) (fma.f64 (pow.f64 B 3) (fma.f64 x 1/45 -7/360) (/.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 (.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)))))
(fma.f64 (fma.f64 1/3 x -1/6) B (fma.f64 -1 (/.f64 (+.f64 x 1) B) (fma.f64 (+.f64 (fma.f64 17/315 x (fma.f64 -1/3 (.f64 x 1/45) (.f64 x -2/45))) -31/15120) (pow.f64 B 5) (.f64 (pow.f64 B 3) (+.f64 (.f64 x 1/45) -7/360)))))
(fma.f64 B (fma.f64 x 1/3 -1/6) (-.f64 (fma.f64 (pow.f64 B 3) (fma.f64 x 1/45 -7/360) (.f64 (pow.f64 B 5) (+.f64 (.f64 x 1/105) (-.f64 (*.f64 x -1/135) 31/15120)))) (/.f64 (+.f64 x 1) B)))
(fma.f64 B (fma.f64 x 1/3 -1/6) (fma.f64 (pow.f64 B 5) (+.f64 (*.f64 x 2/945) -31/15120) (fma.f64 (pow.f64 B 3) (fma.f64 x 1/45 -7/360) (/.f64 (fma.f64 x -1 -1) B))))
(fma.f64 B (fma.f64 x 1/3 -1/6) (fma.f64 (pow.f64 B 3) (fma.f64 x 1/45 -7/360) (fma.f64 (pow.f64 B 5) (fma.f64 x 2/945 -31/15120) (/.f64 (-.f64 -1 x) B))))
(.f64 -1 (+.f64 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B)) (/.f64 1 (sin.f64 B))))
(neg.f64 (+.f64 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)) (/.f64 1 (sin.f64 B))))
(fma.f64 (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x) -1 (/.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 x (sin.f64 B))))
(.f64 -1 (+.f64 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B)) (/.f64 1 (sin.f64 B))))
(neg.f64 (+.f64 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)) (/.f64 1 (sin.f64 B))))
(fma.f64 (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x) -1 (/.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 x (sin.f64 B))))
(.f64 -1 (+.f64 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B)) (/.f64 1 (sin.f64 B))))
(neg.f64 (+.f64 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)) (/.f64 1 (sin.f64 B))))
(fma.f64 (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x) -1 (/.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 x (sin.f64 B))))
(.f64 -1 (+.f64 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B)) (/.f64 1 (sin.f64 B))))
(neg.f64 (+.f64 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)) (/.f64 1 (sin.f64 B))))
(fma.f64 (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x) -1 (/.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 x (sin.f64 B))))
(.f64 -1 (+.f64 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B)) (/.f64 1 (sin.f64 B))))
(neg.f64 (+.f64 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)) (/.f64 1 (sin.f64 B))))
(fma.f64 (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x) -1 (/.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 x (sin.f64 B))))
(.f64 -1 (+.f64 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B)) (/.f64 1 (sin.f64 B))))
(neg.f64 (+.f64 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)) (/.f64 1 (sin.f64 B))))
(fma.f64 (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x) -1 (/.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 x (sin.f64 B))))
(.f64 -1 (+.f64 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B)) (/.f64 1 (sin.f64 B))))
(neg.f64 (+.f64 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)) (/.f64 1 (sin.f64 B))))
(fma.f64 (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x) -1 (/.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 x (sin.f64 B))))
(.f64 -1 (+.f64 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B)) (/.f64 1 (sin.f64 B))))
(neg.f64 (+.f64 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)) (/.f64 1 (sin.f64 B))))
(fma.f64 (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x) -1 (/.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 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)))
(neg.f64 (+.f64 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)) (/.f64 1 (sin.f64 B))))
(fma.f64 (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x) -1 (/.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 x (sin.f64 B))))
(-.f64 (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))) (/.f64 1 (sin.f64 B)))
(neg.f64 (+.f64 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)) (/.f64 1 (sin.f64 B))))
(fma.f64 (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x) -1 (/.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 x (sin.f64 B))))
(-.f64 (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))) (/.f64 1 (sin.f64 B)))
(neg.f64 (+.f64 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)) (/.f64 1 (sin.f64 B))))
(fma.f64 (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x) -1 (/.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 x (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 (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))) (/.f64 1 (sin.f64 B)))
(neg.f64 (+.f64 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)) (/.f64 1 (sin.f64 B))))
(fma.f64 (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x) -1 (/.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 x (sin.f64 B))))
(-.f64 (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))) (/.f64 1 (sin.f64 B)))
(neg.f64 (+.f64 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)) (/.f64 1 (sin.f64 B))))
(fma.f64 (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x) -1 (/.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 x (sin.f64 B))))
(-.f64 (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))) (/.f64 1 (sin.f64 B)))
(neg.f64 (+.f64 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)) (/.f64 1 (sin.f64 B))))
(fma.f64 (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x) -1 (/.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 x (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 (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))) (/.f64 1 (sin.f64 B)))
(neg.f64 (+.f64 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)) (/.f64 1 (sin.f64 B))))
(fma.f64 (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x) -1 (/.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 x (sin.f64 B))))
(-.f64 (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))) (/.f64 1 (sin.f64 B)))
(neg.f64 (+.f64 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)) (/.f64 1 (sin.f64 B))))
(fma.f64 (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x) -1 (/.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 x (sin.f64 B))))
(-.f64 (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))) (/.f64 1 (sin.f64 B)))
(neg.f64 (+.f64 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)) (/.f64 1 (sin.f64 B))))
(fma.f64 (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x) -1 (/.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 x (sin.f64 B))))

localize10.0ms (0%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(sin.f64 B)
✓	0.1b	(/.f64 -1 (log1p.f64 (expm1.f64 (sin.f64 B))))
✓	0.2b	(expm1.f64 (sin.f64 B))
✓	0.2b	(log1p.f64 (expm1.f64 (sin.f64 B)))

Compiler

Compiled 20 to 9 computations (55% saved)

series4.0ms (0%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	B	@	0	(/.f64 -1 (log1p.f64 (expm1.f64 (sin.f64 B))))
0.0ms	B	@	0	(expm1.f64 (sin.f64 B))
0.0ms	B	@	0	(log1p.f64 (expm1.f64 (sin.f64 B)))
0.0ms	B	@	inf	(expm1.f64 (sin.f64 B))
0.0ms	B	@	-inf	(expm1.f64 (sin.f64 B))

rewrite52.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

538×	`pow1_binary64`
517×	`add-sqr-sqrt_binary64`
494×	`expm1-log1p-u_binary64`
493×	`add-log-exp_binary64`
493×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	14
1	121	14
2	1350	14

Stop Event

1×	node limit

Counts

3 → 55

Calls

Call 1

Inputs
(log1p.f64 (expm1.f64 (sin.f64 B)))
(expm1.f64 (sin.f64 B))
(/.f64 -1 (log1p.f64 (expm1.f64 (sin.f64 B))))

Outputs

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

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

((#(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))))))))

simplify66.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

620×	`fma-def_binary64`
462×	`cancel-sign-sub-inv_binary64`
394×	`distribute-rgt-neg-in_binary64`
385×	`fma-neg_binary64`
338×	`distribute-lft-neg-in_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	49	259
1	121	253
2	290	253
3	838	253
4	2332	253
5	4127	253
6	6119	253

Stop Event

1×	node limit

Counts

91 → 77

Calls

Call 1

Inputs
B
(+.f64 (*.f64 -1/6 (pow.f64 B 3)) B)
(+.f64 (.f64 1/120 (pow.f64 B 5)) (+.f64 (.f64 -1/6 (pow.f64 B 3)) B))
(+.f64 (.f64 -1/5040 (pow.f64 B 7)) (+.f64 (.f64 1/120 (pow.f64 B 5)) (+.f64 (*.f64 -1/6 (pow.f64 B 3)) B)))
(sin.f64 B)
(sin.f64 B)
(sin.f64 B)
(sin.f64 B)
(sin.f64 B)
(sin.f64 B)
(sin.f64 B)
(sin.f64 B)
B
(+.f64 (*.f64 1/2 (pow.f64 B 2)) B)
(+.f64 (.f64 -1/8 (pow.f64 B 4)) (+.f64 (.f64 1/2 (pow.f64 B 2)) B))
(+.f64 (.f64 -1/8 (pow.f64 B 4)) (+.f64 (.f64 -1/15 (pow.f64 B 5)) (+.f64 (*.f64 1/2 (pow.f64 B 2)) B)))
(-.f64 (exp.f64 (sin.f64 B)) 1)
(-.f64 (exp.f64 (sin.f64 B)) 1)
(-.f64 (exp.f64 (sin.f64 B)) 1)
(-.f64 (exp.f64 (sin.f64 B)) 1)
(-.f64 (exp.f64 (sin.f64 B)) 1)
(-.f64 (exp.f64 (sin.f64 B)) 1)
(-.f64 (exp.f64 (sin.f64 B)) 1)
(-.f64 (exp.f64 (sin.f64 B)) 1)
(/.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
B
(+.f64 (*.f64 -1/6 (pow.f64 B 3)) B)
(fma.f64 -1/6 (pow.f64 B 3) B)
(+.f64 (.f64 1/120 (pow.f64 B 5)) (+.f64 (.f64 -1/6 (pow.f64 B 3)) B))
(fma.f64 1/120 (pow.f64 B 5) (fma.f64 -1/6 (pow.f64 B 3) B))
(fma.f64 -1/6 (pow.f64 B 3) (fma.f64 1/120 (pow.f64 B 5) B))
(+.f64 (.f64 -1/5040 (pow.f64 B 7)) (+.f64 (.f64 1/120 (pow.f64 B 5)) (+.f64 (*.f64 -1/6 (pow.f64 B 3)) B)))
(fma.f64 -1/5040 (pow.f64 B 7) (fma.f64 1/120 (pow.f64 B 5) (fma.f64 -1/6 (pow.f64 B 3) B)))
(fma.f64 1/120 (pow.f64 B 5) (fma.f64 -1/5040 (pow.f64 B 7) (fma.f64 -1/6 (pow.f64 B 3) B)))
(fma.f64 -1/6 (pow.f64 B 3) (fma.f64 -1/5040 (pow.f64 B 7) (fma.f64 1/120 (pow.f64 B 5) B)))
(sin.f64 B)
(sin.f64 B)
(sin.f64 B)
(sin.f64 B)
(sin.f64 B)
(sin.f64 B)
(sin.f64 B)
(sin.f64 B)
B
(+.f64 (*.f64 1/2 (pow.f64 B 2)) B)
(fma.f64 1/2 (*.f64 B B) B)
(fma.f64 B (*.f64 B 1/2) B)
(*.f64 B (fma.f64 B 1/2 1))
(+.f64 (.f64 -1/8 (pow.f64 B 4)) (+.f64 (.f64 1/2 (pow.f64 B 2)) B))
(fma.f64 -1/8 (pow.f64 B 4) (fma.f64 1/2 (*.f64 B B) B))
(fma.f64 B (*.f64 B 1/2) (fma.f64 -1/8 (pow.f64 B 4) B))
(fma.f64 1/2 (*.f64 B B) (fma.f64 -1/8 (pow.f64 B 4) B))
(+.f64 (.f64 -1/8 (pow.f64 B 4)) (+.f64 (.f64 -1/15 (pow.f64 B 5)) (+.f64 (*.f64 1/2 (pow.f64 B 2)) B)))
(fma.f64 -1/8 (pow.f64 B 4) (fma.f64 -1/15 (pow.f64 B 5) (fma.f64 1/2 (*.f64 B B) B)))
(fma.f64 -1/8 (pow.f64 B 4) (fma.f64 (pow.f64 B 5) -1/15 (fma.f64 1/2 (*.f64 B B) B)))
(fma.f64 (pow.f64 B 5) -1/15 (fma.f64 B (*.f64 B 1/2) (fma.f64 -1/8 (pow.f64 B 4) B)))
(fma.f64 (pow.f64 B 5) -1/15 (fma.f64 1/2 (*.f64 B B) (fma.f64 -1/8 (pow.f64 B 4) B)))
(-.f64 (exp.f64 (sin.f64 B)) 1)
(expm1.f64 (sin.f64 B))
(-.f64 (exp.f64 (sin.f64 B)) 1)
(expm1.f64 (sin.f64 B))
(-.f64 (exp.f64 (sin.f64 B)) 1)
(expm1.f64 (sin.f64 B))
(-.f64 (exp.f64 (sin.f64 B)) 1)
(expm1.f64 (sin.f64 B))
(-.f64 (exp.f64 (sin.f64 B)) 1)
(expm1.f64 (sin.f64 B))
(-.f64 (exp.f64 (sin.f64 B)) 1)
(expm1.f64 (sin.f64 B))
(-.f64 (exp.f64 (sin.f64 B)) 1)
(expm1.f64 (sin.f64 B))
(-.f64 (exp.f64 (sin.f64 B)) 1)
(expm1.f64 (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 (pow.f64 B 3) -7/360 (fma.f64 B -1/6 (/.f64 -1 B)))
(fma.f64 B -1/6 (fma.f64 (pow.f64 B 3) -7/360 (/.f64 -1 B)))
(fma.f64 B (fma.f64 B (*.f64 B -7/360) -1/6) (/.f64 -1 B))
(fma.f64 B (fma.f64 (*.f64 B 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 (pow.f64 B 5) -31/15120 (fma.f64 (pow.f64 B 3) -7/360 (fma.f64 B -1/6 (/.f64 -1 B))))
(fma.f64 (pow.f64 B 5) -31/15120 (fma.f64 B -1/6 (fma.f64 (pow.f64 B 3) -7/360 (/.f64 -1 B))))
(fma.f64 (pow.f64 B 5) -31/15120 (fma.f64 B (fma.f64 B (*.f64 B -7/360) -1/6) (/.f64 -1 B)))
(fma.f64 B (fma.f64 B (*.f64 B -7/360) -1/6) (fma.f64 (pow.f64 B 5) -31/15120 (/.f64 -1 B)))
(fma.f64 B (fma.f64 (*.f64 B B) -7/360 -1/6) (fma.f64 (pow.f64 B 5) -31/15120 (/.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))

eval422.0ms (0.9%)

Compiler: Compiled 19889 to 10268 computations (48.4% saved)

prune214.0ms (0.4%)

Pruning

49 alts after pruning (42 fresh and 7 done)

	Pruned	Kept	Total
New	768	10	778
Fresh	9	32	41
Picked	0	1	1
Done	1	6	7
Total	778	49	827

Error

Counts

827 → 49

Alt Table

Click to see full alt table

Status	Error	Program
✓	8.7b	(+.f64 (neg.f64 (.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))) (.f64 (pow.f64 (cbrt.f64 (/.f64 F (sin.f64 B))) 3) (pow.f64 (+.f64 (+.f64 (.f64 F F) 2) (.f64 2 x)) (neg.f64 (/.f64 1 2)))))
	58.0b	(-.f64 (/.f64 -1 B) 1)
	32.9b	(-.f64 (/.f64 -1 (sin.f64 B)) (*.f64 (/.f64 1 (tan.f64 B)) x))
✓	49.9b	(neg.f64 (/.f64 x B))
✓	55.0b	(-.f64 (+.f64 1 (/.f64 -1 (sin.f64 B))) 1)
	31.3b	(-.f64 (/.f64 -1 (+.f64 (*.f64 -1/6 (pow.f64 B 3)) B)) (/.f64 x (tan.f64 B)))
	35.5b	(+.f64 (neg.f64 (.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))) (.f64 (/.f64 (sqrt.f64 F) (/.f64 (sin.f64 B) (sqrt.f64 F))) (pow.f64 (+.f64 (+.f64 (.f64 F F) 2) (.f64 2 x)) (neg.f64 (/.f64 1 2)))))
	30.0b	(+.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)))))
	23.4b	(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 F (/.f64 (sin.f64 B) (sqrt.f64 1/2))))
	50.6b	(/.f64 (+.f64 (.f64 F (/.f64 1 F)) (.f64 -1 x)) B)
	48.6b	(*.f64 (/.f64 (sqrt.f64 1/2) (sin.f64 B)) F)
	32.4b	(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 (sin.f64 B)))
	36.5b	(/.f64 (+.f64 (/.f64 F (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2)))) (*.f64 -1 x)) B)
	24.3b	(+.f64 (neg.f64 (.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)) (/.f64 F (.f64 (sin.f64 B) (sqrt.f64 (+.f64 (*.f64 2 x) 2)))))
	33.1b	(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 -1 B))
	48.6b	(/.f64 (*.f64 (sqrt.f64 1/2) F) (sin.f64 B))
	39.3b	(+.f64 (neg.f64 (/.f64 x B)) (/.f64 F (.f64 (sin.f64 B) (sqrt.f64 (+.f64 (.f64 2 x) 2)))))
	53.9b	(/.f64 (+.f64 (+.f64 1 (/.f64 (-.f64 -1 x) (.f64 F F))) (.f64 -1 x)) B)
	19.5b	(+.f64 (neg.f64 (.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))) (.f64 (/.f64 F B) (pow.f64 (+.f64 (+.f64 (.f64 F F) 2) (.f64 2 x)) (neg.f64 (/.f64 1 2)))))
	53.8b	(+.f64 (/.f64 (-.f64 -1 x) (.f64 F (.f64 F B))) (/.f64 (-.f64 1 x) B))
	55.9b	(/.f64 (+.f64 (.f64 F (sqrt.f64 (/.f64 1/2 x))) (.f64 -1 x)) B)
	33.0b	(-.f64 (/.f64 -1 B) (/.f64 x (tan.f64 B)))
	24.3b	(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (.f64 (/.f64 1 (sin.f64 B)) (/.f64 F (sqrt.f64 (fma.f64 2 x 2)))))
✓	59.0b	(/.f64 -1 B)
	52.0b	(*.f64 (sqrt.f64 (/.f64 1 (fma.f64 F F 2))) (/.f64 F B))
	50.6b	(/.f64 (-.f64 1 x) B)
	54.9b	(/.f64 1 (sin.f64 B))
	52.5b	(+.f64 (.f64 (-.f64 (.f64 1/3 x) 1/6) B) (*.f64 -1 (/.f64 (+.f64 1 x) B)))
	33.7b	(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 F (.f64 (sin.f64 B) (neg.f64 F))))
	33.3b	(pow.f64 (cbrt.f64 (-.f64 (/.f64 -1 (sin.f64 B)) (/.f64 x (tan.f64 B)))) 3)
	52.0b	(/.f64 (-.f64 -1 x) B)
	33.2b	(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 F (/.f64 (sin.f64 B) (/.f64 1 F))))
	46.2b	(-.f64 (/.f64 -1 (sin.f64 B)) (expm1.f64 (log1p.f64 (/.f64 x (tan.f64 B)))))
✓	55.0b	(/.f64 -1 (sin.f64 B))
	62.6b	(/.f64 6 (pow.f64 B 3))
	32.9b	(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (/.f64 -1 (sin.f64 B)))
	52.0b	(/.f64 (+.f64 (.f64 F (/.f64 -1 F)) (.f64 -1 x)) B)
	45.1b	(/.f64 (+.f64 (.f64 F (sqrt.f64 (/.f64 1 (+.f64 (.f64 2 x) 2)))) (*.f64 -1 x)) B)
✓	32.8b	(-.f64 (/.f64 -1 (sin.f64 B)) (/.f64 x (tan.f64 B)))
✓	55.0b	(/.f64 -1 (log1p.f64 (expm1.f64 (sin.f64 B))))
	55.6b	(+.f64 (.f64 1/2 (/.f64 (fma.f64 2 x 2) (.f64 F (*.f64 F B)))) (/.f64 (-.f64 -1 x) B))
	48.8b	(.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (.f64 2 x) 2))))
	59.2b	(-.f64 (*.f64 -1/6 B) (/.f64 1 B))
	59.1b	(-.f64 (-.f64 1 (/.f64 1 B)) 1)
	45.1b	(+.f64 (.f64 -1 (/.f64 x B)) (.f64 (/.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 2 x) 2)))))
	55.7b	(/.f64 (+.f64 (-.f64 (.f64 1/2 (/.f64 (+.f64 2 (.f64 2 x)) (pow.f64 F 2))) 1) (*.f64 -1 x)) B)
	32.9b	(/.f64 (/.f64 (-.f64 (neg.f64 (tan.f64 B)) (*.f64 x (sin.f64 B))) (sin.f64 B)) (tan.f64 B))
	28.8b	(/.f64 (*.f64 x (neg.f64 (cos.f64 B))) (sin.f64 B))
	55.1b	(-.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 -1 (sin.f64 B)))) 3) 1)

Compiler

Compiled 762 to 579 computations (24% saved)

regimes1.1s (2.3%)

Counts

101 → 3

Calls

Call 1

Inputs
(/.f64 -1 B)
(neg.f64 (/.f64 x B))
(-.f64 (/.f64 -1 B) 1)
(/.f64 (-.f64 -1 x) B)
(/.f64 (-.f64 -1 x) B)
(/.f64 (-.f64 1 x) B)
(-.f64 (-.f64 1 (/.f64 1 B)) 1)
(-.f64 (*.f64 -1/6 B) (/.f64 1 B))
(/.f64 (+.f64 (.f64 F (/.f64 1 F)) (.f64 -1 x)) B)
(/.f64 (+.f64 (.f64 F (/.f64 -1 F)) (.f64 -1 x)) B)
(+.f64 (.f64 (-.f64 (.f64 1/3 x) 1/6) B) (*.f64 -1 (/.f64 (+.f64 1 x) B)))
(/.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 1 (sin.f64 B))
(/.f64 -1 (sin.f64 B))
(/.f64 6 (pow.f64 B 3))
(-.f64 (/.f64 -1 B) (/.f64 x (tan.f64 B)))
(-.f64 (+.f64 1 (/.f64 -1 (sin.f64 B))) 1)
(/.f64 -1 (-.f64 (+.f64 1 (sin.f64 B)) 1))
(/.f64 -1 (+.f64 (*.f64 -1/6 (pow.f64 B 3)) 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 (+.f64 (.f64 -7/360 (pow.f64 B 3)) (.f64 -1/6 B)) (/.f64 1 B))
(/.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 (sqrt.f64 1/2) (sin.f64 B)) F)
(/.f64 (*.f64 (sqrt.f64 1/2) F) (sin.f64 B))
(*.f64 x (/.f64 (neg.f64 (cos.f64 B)) (sin.f64 B)))
(/.f64 (*.f64 x (neg.f64 (cos.f64 B))) (sin.f64 B))
(-.f64 (/.f64 -1 (sin.f64 B)) (/.f64 x (tan.f64 B)))
(-.f64 (/.f64 -1 (sin.f64 B)) (*.f64 (/.f64 1 (tan.f64 B)) x))
(.f64 (+.f64 (.f64 (cos.f64 B) x) 1) (/.f64 -1 (sin.f64 B)))
(*.f64 (sqrt.f64 (/.f64 1 (fma.f64 F F 2))) (/.f64 F B))
(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (/.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 (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 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (.f64 2 x) 2))))
(-.f64 (/.f64 -1 (+.f64 (*.f64 -1/6 (pow.f64 B 3)) B)) (/.f64 x (tan.f64 B)))
(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 F (.f64 (sin.f64 B) (neg.f64 F))))
(+.f64 (neg.f64 (/.f64 x B)) (/.f64 F (.f64 (sin.f64 B) (sqrt.f64 (+.f64 (.f64 2 x) 2)))))
(+.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 (/.f64 1 (tan.f64 B)))) (/.f64 F (.f64 (sqrt.f64 (+.f64 2 (*.f64 2 x))) 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)))))
(/.f64 -1 (log1p.f64 (expm1.f64 (sin.f64 B))))
(-.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 -1 (sin.f64 B)))) 3) 1)
(-.f64 (/.f64 -1 (sin.f64 B)) (/.f64 x (/.f64 (sin.f64 B) (cos.f64 B))))
(/.f64 (fma.f64 F (sqrt.f64 (/.f64 1 (fma.f64 x 2 2))) (neg.f64 x)) 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 (sin.f64 B) (sqrt.f64 1/2))))
(/.f64 (+.f64 (/.f64 F (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2)))) (*.f64 -1 x)) B)
(fma.f64 (/.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 2 (*.f64 2 x)))) (/.f64 (neg.f64 x) (tan.f64 B)))
(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 F (.f64 (sin.f64 B) (sqrt.f64 (+.f64 (*.f64 2 x) 2)))))
(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 F (/.f64 (sin.f64 B) (sqrt.f64 (/.f64 1 (+.f64 (.f64 2 x) 2))))))
(+.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 x (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 (/.f64 x (sin.f64 B)) (cos.f64 B))) (.f64 (/.f64 F B) (pow.f64 (+.f64 (+.f64 (.f64 F F) 2) (.f64 2 x)) (neg.f64 (/.f64 1 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 -1 (sin.f64 B)) (expm1.f64 (log1p.f64 (/.f64 x (tan.f64 B)))))
(pow.f64 (cbrt.f64 (-.f64 (/.f64 -1 (sin.f64 B)) (/.f64 x (tan.f64 B)))) 3)
(+.f64 (neg.f64 (expm1.f64 (log1p.f64 (/.f64 x (tan.f64 B))))) (/.f64 -1 (sin.f64 B)))
(+.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 x (tan.f64 B))) 3)) (/.f64 1 (sin.f64 B)))
(/.f64 (/.f64 (-.f64 (neg.f64 (tan.f64 B)) (*.f64 x (sin.f64 B))) (sin.f64 B)) (tan.f64 B))
(fma.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 2 (*.f64 2 x)))) (/.f64 (neg.f64 x) (tan.f64 B)))
(+.f64 (neg.f64 (.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)) (/.f64 F (.f64 (sin.f64 B) (sqrt.f64 (+.f64 (*.f64 2 x) 2)))))
(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (.f64 (/.f64 1 (sin.f64 B)) (/.f64 F (sqrt.f64 (fma.f64 2 x 2)))))
(+.f64 (.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (.f64 2 x) 2)))) (.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 (neg.f64 (.f64 (/.f64 x (sin.f64 B)) (cos.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 (/.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)))))
(fma.f64 (/.f64 F (sin.f64 B)) (/.f64 1 (sqrt.f64 (fma.f64 2 x 2))) (/.f64 (neg.f64 x) (tan.f64 B)))
(+.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 (pow.f64 (fma.f64 F F (fma.f64 2 x 2)) -1/2) (/.f64 (sin.f64 B) F)))
(+.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 (expm1.f64 (log1p.f64 (/.f64 x (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 (pow.f64 (cbrt.f64 (/.f64 x (tan.f64 B))) 3)) (.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 (/.f64 x (cbrt.f64 (pow.f64 (tan.f64 B) 2))) (cbrt.f64 (tan.f64 B)))) (/.f64 -1 (sin.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 (neg.f64 (.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))) (.f64 (pow.f64 (cbrt.f64 (/.f64 F (sin.f64 B))) 3) (pow.f64 (+.f64 (+.f64 (.f64 F F) 2) (.f64 2 x)) (neg.f64 (/.f64 1 2)))))
(+.f64 (neg.f64 (.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))) (.f64 (/.f64 (sqrt.f64 F) (/.f64 (sin.f64 B) (sqrt.f64 F))) (pow.f64 (+.f64 (+.f64 (.f64 F F) 2) (.f64 2 x)) (neg.f64 (/.f64 1 2)))))
(+.f64 (neg.f64 (.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))) (.f64 (.f64 (/.f64 (sqrt.f64 F) 1) (/.f64 (sqrt.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 F (/.f64 (sin.f64 B) (+.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 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (.f64 (/.f64 F (sin.f64 B)) (+.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 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (cbrt.f64 (pow.f64 (/.f64 (/.f64 F (sin.f64 B)) (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2)))) 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 (cbrt.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)))) (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 (/.f64 x (pow.f64 (cbrt.f64 (tan.f64 B)) 2)) (cbrt.f64 (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 (/.f64 x (cbrt.f64 (pow.f64 (tan.f64 B) 2))) (cbrt.f64 (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)))))
(fma.f64 (cbrt.f64 (pow.f64 (/.f64 F (sin.f64 B)) 3)) (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)))) (.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))))
(/.f64 (fma.f64 -1 (pow.f64 (sin.f64 B) -3) (pow.f64 (/.f64 x (tan.f64 B)) 3)) (+.f64 (pow.f64 (/.f64 x (tan.f64 B)) 2) (+.f64 (pow.f64 (sin.f64 B) -2) (/.f64 (/.f64 x (tan.f64 B)) (sin.f64 B)))))
(+.f64 (fma.f64 (cbrt.f64 (pow.f64 (/.f64 F (sin.f64 B)) 2)) (.f64 (cbrt.f64 (/.f64 F (sin.f64 B))) (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)) (neg.f64 (.f64 (/.f64 x (tan.f64 B)) -1))) (fma.f64 (/.f64 x (tan.f64 B)) -1 (*.f64 (/.f64 x (tan.f64 B)) -1)))

Outputs

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

(+.f64 (neg.f64 (/.f64 x (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 B)))) (/.f64 1 (sin.f64 B)))

Calls

4 calls:

373.0ms	F
291.0ms	(+.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)))))
210.0ms	x
188.0ms	B

Results

Error	Segments	Branch
0.3b	3	`F`
3.5b	3	`B`
3.6b	3	`x`
0.6b	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 1759 to 1009 computations (42.6% saved)

bsearch406.0ms (0.8%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
191.0ms	8.085133053421346e+36	6.096555556210134e+48
213.0ms	-3.8960439192206498e+93	-4.7933562358701576e+91

Compiler

Compiled 36 to 28 computations (22.2% saved)

regimes1.0s (2.1%)

Counts

61 → 3

Calls

Call 1

Inputs
(/.f64 -1 B)
(neg.f64 (/.f64 x B))
(-.f64 (/.f64 -1 B) 1)
(/.f64 (-.f64 -1 x) B)
(/.f64 (-.f64 -1 x) B)
(/.f64 (-.f64 1 x) B)
(-.f64 (-.f64 1 (/.f64 1 B)) 1)
(-.f64 (*.f64 -1/6 B) (/.f64 1 B))
(/.f64 (+.f64 (.f64 F (/.f64 1 F)) (.f64 -1 x)) B)
(/.f64 (+.f64 (.f64 F (/.f64 -1 F)) (.f64 -1 x)) B)
(+.f64 (.f64 (-.f64 (.f64 1/3 x) 1/6) B) (*.f64 -1 (/.f64 (+.f64 1 x) B)))
(/.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 1 (sin.f64 B))
(/.f64 -1 (sin.f64 B))
(/.f64 6 (pow.f64 B 3))
(-.f64 (/.f64 -1 B) (/.f64 x (tan.f64 B)))
(-.f64 (+.f64 1 (/.f64 -1 (sin.f64 B))) 1)
(/.f64 -1 (-.f64 (+.f64 1 (sin.f64 B)) 1))
(/.f64 -1 (+.f64 (*.f64 -1/6 (pow.f64 B 3)) 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 (+.f64 (.f64 -7/360 (pow.f64 B 3)) (.f64 -1/6 B)) (/.f64 1 B))
(/.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 (sqrt.f64 1/2) (sin.f64 B)) F)
(/.f64 (*.f64 (sqrt.f64 1/2) F) (sin.f64 B))
(*.f64 x (/.f64 (neg.f64 (cos.f64 B)) (sin.f64 B)))
(/.f64 (*.f64 x (neg.f64 (cos.f64 B))) (sin.f64 B))
(-.f64 (/.f64 -1 (sin.f64 B)) (/.f64 x (tan.f64 B)))
(-.f64 (/.f64 -1 (sin.f64 B)) (*.f64 (/.f64 1 (tan.f64 B)) x))
(.f64 (+.f64 (.f64 (cos.f64 B) x) 1) (/.f64 -1 (sin.f64 B)))
(*.f64 (sqrt.f64 (/.f64 1 (fma.f64 F F 2))) (/.f64 F B))
(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (/.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 (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 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (.f64 2 x) 2))))
(-.f64 (/.f64 -1 (+.f64 (*.f64 -1/6 (pow.f64 B 3)) B)) (/.f64 x (tan.f64 B)))
(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 F (.f64 (sin.f64 B) (neg.f64 F))))
(+.f64 (neg.f64 (/.f64 x B)) (/.f64 F (.f64 (sin.f64 B) (sqrt.f64 (+.f64 (.f64 2 x) 2)))))
(+.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 (/.f64 1 (tan.f64 B)))) (/.f64 F (.f64 (sqrt.f64 (+.f64 2 (*.f64 2 x))) 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)))))
(/.f64 -1 (log1p.f64 (expm1.f64 (sin.f64 B))))
(-.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 -1 (sin.f64 B)))) 3) 1)
(-.f64 (/.f64 -1 (sin.f64 B)) (/.f64 x (/.f64 (sin.f64 B) (cos.f64 B))))
(/.f64 (fma.f64 F (sqrt.f64 (/.f64 1 (fma.f64 x 2 2))) (neg.f64 x)) 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 (sin.f64 B) (sqrt.f64 1/2))))
(/.f64 (+.f64 (/.f64 F (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2)))) (*.f64 -1 x)) B)
(fma.f64 (/.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 2 (*.f64 2 x)))) (/.f64 (neg.f64 x) (tan.f64 B)))
(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 F (.f64 (sin.f64 B) (sqrt.f64 (+.f64 (*.f64 2 x) 2)))))
(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 F (/.f64 (sin.f64 B) (sqrt.f64 (/.f64 1 (+.f64 (.f64 2 x) 2))))))
(+.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 F (/.f64 (sin.f64 B) (sqrt.f64 1/2))))

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

Calls

3 calls:

458.0ms	B
273.0ms	x
269.0ms	F

Results

Error	Segments	Branch
0.5b	3	`F`
11.7b	7	`B`
13.4b	3	`x`

Compiler

Compiled 739 to 455 computations (38.4% saved)

bsearch147.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
60.0ms	4.477687327853291e-6	0.02491819704162138
85.0ms	-327.3351799756031	-6.251936184623715e-8

Compiler

Compiled 103 to 81 computations (21.4% saved)

regimes564.0ms (1.1%)

Counts

55 → 6

Calls

Call 1

Inputs
(/.f64 -1 B)
(neg.f64 (/.f64 x B))
(-.f64 (/.f64 -1 B) 1)
(/.f64 (-.f64 -1 x) B)
(/.f64 (-.f64 -1 x) B)
(/.f64 (-.f64 1 x) B)
(-.f64 (-.f64 1 (/.f64 1 B)) 1)
(-.f64 (*.f64 -1/6 B) (/.f64 1 B))
(/.f64 (+.f64 (.f64 F (/.f64 1 F)) (.f64 -1 x)) B)
(/.f64 (+.f64 (.f64 F (/.f64 -1 F)) (.f64 -1 x)) B)
(+.f64 (.f64 (-.f64 (.f64 1/3 x) 1/6) B) (*.f64 -1 (/.f64 (+.f64 1 x) B)))
(/.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 1 (sin.f64 B))
(/.f64 -1 (sin.f64 B))
(/.f64 6 (pow.f64 B 3))
(-.f64 (/.f64 -1 B) (/.f64 x (tan.f64 B)))
(-.f64 (+.f64 1 (/.f64 -1 (sin.f64 B))) 1)
(/.f64 -1 (-.f64 (+.f64 1 (sin.f64 B)) 1))
(/.f64 -1 (+.f64 (*.f64 -1/6 (pow.f64 B 3)) 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 (+.f64 (.f64 -7/360 (pow.f64 B 3)) (.f64 -1/6 B)) (/.f64 1 B))
(/.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 (sqrt.f64 1/2) (sin.f64 B)) F)
(/.f64 (*.f64 (sqrt.f64 1/2) F) (sin.f64 B))
(*.f64 x (/.f64 (neg.f64 (cos.f64 B)) (sin.f64 B)))
(/.f64 (*.f64 x (neg.f64 (cos.f64 B))) (sin.f64 B))
(-.f64 (/.f64 -1 (sin.f64 B)) (/.f64 x (tan.f64 B)))
(-.f64 (/.f64 -1 (sin.f64 B)) (*.f64 (/.f64 1 (tan.f64 B)) x))
(.f64 (+.f64 (.f64 (cos.f64 B) x) 1) (/.f64 -1 (sin.f64 B)))
(*.f64 (sqrt.f64 (/.f64 1 (fma.f64 F F 2))) (/.f64 F B))
(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (/.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 (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 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (.f64 2 x) 2))))
(-.f64 (/.f64 -1 (+.f64 (*.f64 -1/6 (pow.f64 B 3)) B)) (/.f64 x (tan.f64 B)))
(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 F (.f64 (sin.f64 B) (neg.f64 F))))
(+.f64 (neg.f64 (/.f64 x B)) (/.f64 F (.f64 (sin.f64 B) (sqrt.f64 (+.f64 (.f64 2 x) 2)))))
(+.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 (/.f64 1 (tan.f64 B)))) (/.f64 F (.f64 (sqrt.f64 (+.f64 2 (*.f64 2 x))) 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)))))
(/.f64 -1 (log1p.f64 (expm1.f64 (sin.f64 B))))
(-.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 -1 (sin.f64 B)))) 3) 1)
(-.f64 (/.f64 -1 (sin.f64 B)) (/.f64 x (/.f64 (sin.f64 B) (cos.f64 B))))
(/.f64 (fma.f64 F (sqrt.f64 (/.f64 1 (fma.f64 x 2 2))) (neg.f64 x)) 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 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 F (.f64 (sqrt.f64 (+.f64 2 (*.f64 2 x))) B)))
(+.f64 (neg.f64 (/.f64 x B)) (/.f64 F (.f64 (sin.f64 B) (sqrt.f64 (+.f64 (.f64 2 x) 2)))))
(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 F (.f64 (sqrt.f64 (+.f64 2 (*.f64 2 x))) B)))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 (sin.f64 B)))

Calls

3 calls:

197.0ms	F
173.0ms	x
173.0ms	B

Results

Error	Segments	Branch
3.2b	6	`F`
17.0b	3	`B`
12.2b	5	`x`

Compiler

Compiled 631 to 389 computations (38.4% saved)

bsearch1.8s (3.6%)

Algorithm

5×	binary-search

Steps

Time	Left	Right
843.0ms	4.477687327853291e-6	0.02491819704162138
109.0ms	1.8263284686947366e-74	1.1968369210823236e-65
76.0ms	4.937581980491477e-104	1.04304107839529e-103
71.0ms	-3.713462234815684e-71	-6.674369807215868e-87
678.0ms	-156137480115.988	-327.3351799756031

Compiler

Compiled 843 to 649 computations (23% saved)

regimes569.0ms (1.2%)

Counts

49 → 6

Calls

Call 1

Inputs
(/.f64 -1 B)
(neg.f64 (/.f64 x B))
(-.f64 (/.f64 -1 B) 1)
(/.f64 (-.f64 -1 x) B)
(/.f64 (-.f64 -1 x) B)
(/.f64 (-.f64 1 x) B)
(-.f64 (-.f64 1 (/.f64 1 B)) 1)
(-.f64 (*.f64 -1/6 B) (/.f64 1 B))
(/.f64 (+.f64 (.f64 F (/.f64 1 F)) (.f64 -1 x)) B)
(/.f64 (+.f64 (.f64 F (/.f64 -1 F)) (.f64 -1 x)) B)
(+.f64 (.f64 (-.f64 (.f64 1/3 x) 1/6) B) (*.f64 -1 (/.f64 (+.f64 1 x) B)))
(/.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 1 (sin.f64 B))
(/.f64 -1 (sin.f64 B))
(/.f64 6 (pow.f64 B 3))
(-.f64 (/.f64 -1 B) (/.f64 x (tan.f64 B)))
(-.f64 (+.f64 1 (/.f64 -1 (sin.f64 B))) 1)
(/.f64 -1 (-.f64 (+.f64 1 (sin.f64 B)) 1))
(/.f64 -1 (+.f64 (*.f64 -1/6 (pow.f64 B 3)) 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 (+.f64 (.f64 -7/360 (pow.f64 B 3)) (.f64 -1/6 B)) (/.f64 1 B))
(/.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 (sqrt.f64 1/2) (sin.f64 B)) F)
(/.f64 (*.f64 (sqrt.f64 1/2) F) (sin.f64 B))
(*.f64 x (/.f64 (neg.f64 (cos.f64 B)) (sin.f64 B)))
(/.f64 (*.f64 x (neg.f64 (cos.f64 B))) (sin.f64 B))
(-.f64 (/.f64 -1 (sin.f64 B)) (/.f64 x (tan.f64 B)))
(-.f64 (/.f64 -1 (sin.f64 B)) (*.f64 (/.f64 1 (tan.f64 B)) x))
(.f64 (+.f64 (.f64 (cos.f64 B) x) 1) (/.f64 -1 (sin.f64 B)))
(*.f64 (sqrt.f64 (/.f64 1 (fma.f64 F F 2))) (/.f64 F B))
(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (/.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 (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 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (.f64 2 x) 2))))
(-.f64 (/.f64 -1 (+.f64 (*.f64 -1/6 (pow.f64 B 3)) B)) (/.f64 x (tan.f64 B)))
(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 F (.f64 (sin.f64 B) (neg.f64 F))))
(+.f64 (neg.f64 (/.f64 x B)) (/.f64 F (.f64 (sin.f64 B) (sqrt.f64 (+.f64 (.f64 2 x) 2)))))
(+.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 (/.f64 1 (tan.f64 B)))) (/.f64 F (.f64 (sqrt.f64 (+.f64 2 (*.f64 2 x))) 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 F (.f64 (sin.f64 B) (sqrt.f64 (+.f64 (.f64 2 x) 2)))))
(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 F (.f64 (sqrt.f64 (+.f64 2 (*.f64 2 x))) B)))
(+.f64 (neg.f64 (/.f64 x B)) (/.f64 F (.f64 (sin.f64 B) (sqrt.f64 (+.f64 (.f64 2 x) 2)))))
(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 F (.f64 (sqrt.f64 (+.f64 2 (*.f64 2 x))) B)))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 (sin.f64 B)))

Calls

3 calls:

292.0ms	F
154.0ms	x
101.0ms	B

Results

Error	Segments	Branch
3.4b	6	`F`
17.0b	3	`B`
17.2b	5	`x`

Compiler

Compiled 552 to 346 computations (37.3% saved)

bsearch2.0s (4.1%)

Algorithm

5×	binary-search

Steps

Time	Left	Right
872.0ms	4.477687327853291e-6	0.02491819704162138
114.0ms	1.8263284686947366e-74	1.1968369210823236e-65
64.0ms	4.937581980491477e-104	1.04304107839529e-103
70.0ms	-3.713462234815684e-71	-6.674369807215868e-87
879.0ms	-327.3351799756031	-6.251936184623715e-8

Compiler

Compiled 796 to 614 computations (22.9% saved)

regimes425.0ms (0.9%)

Counts

47 → 5

Calls

Call 1

Inputs
(/.f64 -1 B)
(neg.f64 (/.f64 x B))
(-.f64 (/.f64 -1 B) 1)
(/.f64 (-.f64 -1 x) B)
(/.f64 (-.f64 -1 x) B)
(/.f64 (-.f64 1 x) B)
(-.f64 (-.f64 1 (/.f64 1 B)) 1)
(-.f64 (*.f64 -1/6 B) (/.f64 1 B))
(/.f64 (+.f64 (.f64 F (/.f64 1 F)) (.f64 -1 x)) B)
(/.f64 (+.f64 (.f64 F (/.f64 -1 F)) (.f64 -1 x)) B)
(+.f64 (.f64 (-.f64 (.f64 1/3 x) 1/6) B) (*.f64 -1 (/.f64 (+.f64 1 x) B)))
(/.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 1 (sin.f64 B))
(/.f64 -1 (sin.f64 B))
(/.f64 6 (pow.f64 B 3))
(-.f64 (/.f64 -1 B) (/.f64 x (tan.f64 B)))
(-.f64 (+.f64 1 (/.f64 -1 (sin.f64 B))) 1)
(/.f64 -1 (-.f64 (+.f64 1 (sin.f64 B)) 1))
(/.f64 -1 (+.f64 (*.f64 -1/6 (pow.f64 B 3)) 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 (+.f64 (.f64 -7/360 (pow.f64 B 3)) (.f64 -1/6 B)) (/.f64 1 B))
(/.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 (sqrt.f64 1/2) (sin.f64 B)) F)
(/.f64 (*.f64 (sqrt.f64 1/2) F) (sin.f64 B))
(*.f64 x (/.f64 (neg.f64 (cos.f64 B)) (sin.f64 B)))
(/.f64 (*.f64 x (neg.f64 (cos.f64 B))) (sin.f64 B))
(-.f64 (/.f64 -1 (sin.f64 B)) (/.f64 x (tan.f64 B)))
(-.f64 (/.f64 -1 (sin.f64 B)) (*.f64 (/.f64 1 (tan.f64 B)) x))
(.f64 (+.f64 (.f64 (cos.f64 B) x) 1) (/.f64 -1 (sin.f64 B)))
(*.f64 (sqrt.f64 (/.f64 1 (fma.f64 F F 2))) (/.f64 F B))
(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (/.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 (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 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (.f64 2 x) 2))))
(-.f64 (/.f64 -1 (+.f64 (*.f64 -1/6 (pow.f64 B 3)) B)) (/.f64 x (tan.f64 B)))
(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 F (.f64 (sin.f64 B) (neg.f64 F))))
(+.f64 (neg.f64 (/.f64 x B)) (/.f64 F (.f64 (sin.f64 B) (sqrt.f64 (+.f64 (.f64 2 x) 2)))))
(+.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 (neg.f64 (/.f64 x B)) (/.f64 F (.f64 (sin.f64 B) (sqrt.f64 (+.f64 (.f64 2 x) 2)))))
(/.f64 (*.f64 x (neg.f64 (cos.f64 B))) (sin.f64 B))
(+.f64 (neg.f64 (/.f64 x B)) (/.f64 F (.f64 (sin.f64 B) (sqrt.f64 (+.f64 (.f64 2 x) 2)))))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 (sin.f64 B)))

Calls

3 calls:

151.0ms	F
137.0ms	B
121.0ms	x

Results

Error	Segments	Branch
7.8b	5	`F`
23.1b	3	`B`
18.9b	3	`x`

Compiler

Compiled 514 to 319 computations (37.9% saved)

bsearch3.7s (7.6%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
1.1s	0.02491819704162138	7.656010062125004e+25
554.0ms	2.806765753122464e-125	6.972974668073964e-123
355.0ms	-1.8894876004043974e-127	-7.294554701090605e-128
1.7s	-327.3351799756031	-6.251936184623715e-8

Compiler

Compiled 1146 to 874 computations (23.7% saved)

regimes582.0ms (1.2%)

Counts

43 → 5

Calls

Call 1

Inputs
(/.f64 -1 B)
(neg.f64 (/.f64 x B))
(-.f64 (/.f64 -1 B) 1)
(/.f64 (-.f64 -1 x) B)
(/.f64 (-.f64 -1 x) B)
(/.f64 (-.f64 1 x) B)
(-.f64 (-.f64 1 (/.f64 1 B)) 1)
(-.f64 (*.f64 -1/6 B) (/.f64 1 B))
(/.f64 (+.f64 (.f64 F (/.f64 1 F)) (.f64 -1 x)) B)
(/.f64 (+.f64 (.f64 F (/.f64 -1 F)) (.f64 -1 x)) B)
(+.f64 (.f64 (-.f64 (.f64 1/3 x) 1/6) B) (*.f64 -1 (/.f64 (+.f64 1 x) B)))
(/.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 1 (sin.f64 B))
(/.f64 -1 (sin.f64 B))
(/.f64 6 (pow.f64 B 3))
(-.f64 (/.f64 -1 B) (/.f64 x (tan.f64 B)))
(-.f64 (+.f64 1 (/.f64 -1 (sin.f64 B))) 1)
(/.f64 -1 (-.f64 (+.f64 1 (sin.f64 B)) 1))
(/.f64 -1 (+.f64 (*.f64 -1/6 (pow.f64 B 3)) 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 (+.f64 (.f64 -7/360 (pow.f64 B 3)) (.f64 -1/6 B)) (/.f64 1 B))
(/.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 (sqrt.f64 1/2) (sin.f64 B)) F)
(/.f64 (*.f64 (sqrt.f64 1/2) F) (sin.f64 B))
(*.f64 x (/.f64 (neg.f64 (cos.f64 B)) (sin.f64 B)))
(/.f64 (*.f64 x (neg.f64 (cos.f64 B))) (sin.f64 B))
(-.f64 (/.f64 -1 (sin.f64 B)) (/.f64 x (tan.f64 B)))
(-.f64 (/.f64 -1 (sin.f64 B)) (*.f64 (/.f64 1 (tan.f64 B)) x))
(.f64 (+.f64 (.f64 (cos.f64 B) x) 1) (/.f64 -1 (sin.f64 B)))
(*.f64 (sqrt.f64 (/.f64 1 (fma.f64 F F 2))) (/.f64 F B))
(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (/.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 (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 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (.f64 2 x) 2))))
(-.f64 (/.f64 -1 (+.f64 (*.f64 -1/6 (pow.f64 B 3)) B)) (/.f64 x (tan.f64 B)))
(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 F (.f64 (sin.f64 B) (neg.f64 F))))

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

Calls

3 calls:

309.0ms	F
173.0ms	x
83.0ms	B

Results

Error	Segments	Branch
10.0b	5	`F`
23.1b	3	`B`
20.3b	3	`x`

Compiler

Compiled 450 to 286 computations (36.4% saved)

bsearch2.9s (5.9%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
653.0ms	1.9812014960770963e-16	1.6104405426378947e-7
715.0ms	4.937581980491477e-104	1.04304107839529e-103
859.0ms	-4.540815991635671e-52	-9.012956421608604e-60
680.0ms	-327.3351799756031	-6.251936184623715e-8

Compiler

Compiled 841 to 668 computations (20.6% saved)

regimes451.0ms (0.9%)

Counts

36 → 8

Calls

Call 1

Inputs
(/.f64 -1 B)
(neg.f64 (/.f64 x B))
(-.f64 (/.f64 -1 B) 1)
(/.f64 (-.f64 -1 x) B)
(/.f64 (-.f64 -1 x) B)
(/.f64 (-.f64 1 x) B)
(-.f64 (-.f64 1 (/.f64 1 B)) 1)
(-.f64 (*.f64 -1/6 B) (/.f64 1 B))
(/.f64 (+.f64 (.f64 F (/.f64 1 F)) (.f64 -1 x)) B)
(/.f64 (+.f64 (.f64 F (/.f64 -1 F)) (.f64 -1 x)) B)
(+.f64 (.f64 (-.f64 (.f64 1/3 x) 1/6) B) (*.f64 -1 (/.f64 (+.f64 1 x) B)))
(/.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 1 (sin.f64 B))
(/.f64 -1 (sin.f64 B))
(/.f64 6 (pow.f64 B 3))
(-.f64 (/.f64 -1 B) (/.f64 x (tan.f64 B)))
(-.f64 (+.f64 1 (/.f64 -1 (sin.f64 B))) 1)
(/.f64 -1 (-.f64 (+.f64 1 (sin.f64 B)) 1))
(/.f64 -1 (+.f64 (*.f64 -1/6 (pow.f64 B 3)) 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 (+.f64 (.f64 -7/360 (pow.f64 B 3)) (.f64 -1/6 B)) (/.f64 1 B))
(/.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 (sqrt.f64 1/2) (sin.f64 B)) F)
(/.f64 (*.f64 (sqrt.f64 1/2) F) (sin.f64 B))
(*.f64 x (/.f64 (neg.f64 (cos.f64 B)) (sin.f64 B)))
(/.f64 (*.f64 x (neg.f64 (cos.f64 B))) (sin.f64 B))
(-.f64 (/.f64 -1 (sin.f64 B)) (/.f64 x (tan.f64 B)))
(-.f64 (/.f64 -1 (sin.f64 B)) (*.f64 (/.f64 1 (tan.f64 B)) x))
(.f64 (+.f64 (.f64 (cos.f64 B) x) 1) (/.f64 -1 (sin.f64 B)))
(*.f64 (sqrt.f64 (/.f64 1 (fma.f64 F F 2))) (/.f64 F B))
(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (/.f64 -1 (sin.f64 B)))

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

Calls

3 calls:

218.0ms	F
121.0ms	x
101.0ms	B

Results

Error	Segments	Branch
15.0b	8	`F`
23.1b	3	`B`
20.3b	3	`x`

Compiler

Compiled 360 to 233 computations (35.3% saved)

bsearch4.5s (9.1%)

Algorithm

7×	binary-search

Steps

Time	Left	Right
112.0ms	2.928824732976153e+117	4.973674528533088e+119
761.0ms	0.02491819704162138	7.656010062125004e+25
489.0ms	1.6564262851145523e-41	2.271425846597241e-40
861.0ms	1.1968369210823236e-65	1.3672903509916403e-64
583.0ms	4.937581980491477e-104	1.04304107839529e-103
885.0ms	-4.540815991635671e-52	-9.012956421608604e-60
768.0ms	-327.3351799756031	-6.251936184623715e-8

Compiler

Compiled 1270 to 998 computations (21.4% saved)

regimes415.0ms (0.8%)

Counts

31 → 8

Calls

Call 1

Inputs
(/.f64 -1 B)
(neg.f64 (/.f64 x B))
(-.f64 (/.f64 -1 B) 1)
(/.f64 (-.f64 -1 x) B)
(/.f64 (-.f64 -1 x) B)
(/.f64 (-.f64 1 x) B)
(-.f64 (-.f64 1 (/.f64 1 B)) 1)
(-.f64 (*.f64 -1/6 B) (/.f64 1 B))
(/.f64 (+.f64 (.f64 F (/.f64 1 F)) (.f64 -1 x)) B)
(/.f64 (+.f64 (.f64 F (/.f64 -1 F)) (.f64 -1 x)) B)
(+.f64 (.f64 (-.f64 (.f64 1/3 x) 1/6) B) (*.f64 -1 (/.f64 (+.f64 1 x) B)))
(/.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 1 (sin.f64 B))
(/.f64 -1 (sin.f64 B))
(/.f64 6 (pow.f64 B 3))
(-.f64 (/.f64 -1 B) (/.f64 x (tan.f64 B)))
(-.f64 (+.f64 1 (/.f64 -1 (sin.f64 B))) 1)
(/.f64 -1 (-.f64 (+.f64 1 (sin.f64 B)) 1))
(/.f64 -1 (+.f64 (*.f64 -1/6 (pow.f64 B 3)) 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 (+.f64 (.f64 -7/360 (pow.f64 B 3)) (.f64 -1/6 B)) (/.f64 1 B))
(/.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 (sqrt.f64 1/2) (sin.f64 B)) F)
(/.f64 (*.f64 (sqrt.f64 1/2) F) (sin.f64 B))
(*.f64 x (/.f64 (neg.f64 (cos.f64 B)) (sin.f64 B)))
(/.f64 (*.f64 x (neg.f64 (cos.f64 B))) (sin.f64 B))

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

Calls

3 calls:

219.0ms	F
136.0ms	x
50.0ms	B

Results

Error	Segments	Branch
19.3b	8	`F`
23.1b	3	`B`
20.3b	3	`x`

Compiler

Compiled 306 to 205 computations (33% saved)

bsearch3.7s (7.6%)

Algorithm

7×	binary-search

Steps

Time	Left	Right
101.0ms	2.928824732976153e+117	4.973674528533088e+119
800.0ms	0.02491819704162138	7.656010062125004e+25
372.0ms	1.6564262851145523e-41	2.271425846597241e-40
438.0ms	1.1968369210823236e-65	1.3672903509916403e-64
396.0ms	4.937581980491477e-104	1.04304107839529e-103
787.0ms	-4.540815991635671e-52	-9.012956421608604e-60
830.0ms	-156137480115.988	-327.3351799756031

Compiler

Compiled 1237 to 970 computations (21.6% saved)

regimes299.0ms (0.6%)

Counts

30 → 8

Calls

Call 1

Inputs
(/.f64 -1 B)
(neg.f64 (/.f64 x B))
(-.f64 (/.f64 -1 B) 1)
(/.f64 (-.f64 -1 x) B)
(/.f64 (-.f64 -1 x) B)
(/.f64 (-.f64 1 x) B)
(-.f64 (-.f64 1 (/.f64 1 B)) 1)
(-.f64 (*.f64 -1/6 B) (/.f64 1 B))
(/.f64 (+.f64 (.f64 F (/.f64 1 F)) (.f64 -1 x)) B)
(/.f64 (+.f64 (.f64 F (/.f64 -1 F)) (.f64 -1 x)) B)
(+.f64 (.f64 (-.f64 (.f64 1/3 x) 1/6) B) (*.f64 -1 (/.f64 (+.f64 1 x) B)))
(/.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 1 (sin.f64 B))
(/.f64 -1 (sin.f64 B))
(/.f64 6 (pow.f64 B 3))
(-.f64 (/.f64 -1 B) (/.f64 x (tan.f64 B)))
(-.f64 (+.f64 1 (/.f64 -1 (sin.f64 B))) 1)
(/.f64 -1 (-.f64 (+.f64 1 (sin.f64 B)) 1))
(/.f64 -1 (+.f64 (*.f64 -1/6 (pow.f64 B 3)) 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 (+.f64 (.f64 -7/360 (pow.f64 B 3)) (.f64 -1/6 B)) (/.f64 1 B))
(/.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 (sqrt.f64 1/2) (sin.f64 B)) F)
(/.f64 (*.f64 (sqrt.f64 1/2) F) (sin.f64 B))
(*.f64 x (/.f64 (neg.f64 (cos.f64 B)) (sin.f64 B)))

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

Calls

3 calls:

173.0ms	F
67.0ms	x
47.0ms	B

Results

Error	Segments	Branch
19.4b	8	`F`
23.2b	3	`B`
20.4b	3	`x`

Compiler

Compiled 298 to 203 computations (31.9% saved)

bsearch3.2s (6.4%)

Algorithm

7×	binary-search

Steps

Time	Left	Right
98.0ms	2.928824732976153e+117	4.973674528533088e+119
656.0ms	0.02491819704162138	7.656010062125004e+25
360.0ms	1.6564262851145523e-41	2.271425846597241e-40
364.0ms	1.1968369210823236e-65	1.3672903509916403e-64
298.0ms	4.937581980491477e-104	1.04304107839529e-103
824.0ms	-4.540815991635671e-52	-9.012956421608604e-60
568.0ms	-156137480115.988	-327.3351799756031

Compiler

Compiled 1237 to 970 computations (21.6% saved)

regimes264.0ms (0.5%)

Counts

29 → 6

Calls

Call 1

Inputs
(/.f64 -1 B)
(neg.f64 (/.f64 x B))
(-.f64 (/.f64 -1 B) 1)
(/.f64 (-.f64 -1 x) B)
(/.f64 (-.f64 -1 x) B)
(/.f64 (-.f64 1 x) B)
(-.f64 (-.f64 1 (/.f64 1 B)) 1)
(-.f64 (*.f64 -1/6 B) (/.f64 1 B))
(/.f64 (+.f64 (.f64 F (/.f64 1 F)) (.f64 -1 x)) B)
(/.f64 (+.f64 (.f64 F (/.f64 -1 F)) (.f64 -1 x)) B)
(+.f64 (.f64 (-.f64 (.f64 1/3 x) 1/6) B) (*.f64 -1 (/.f64 (+.f64 1 x) B)))
(/.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 1 (sin.f64 B))
(/.f64 -1 (sin.f64 B))
(/.f64 6 (pow.f64 B 3))
(-.f64 (/.f64 -1 B) (/.f64 x (tan.f64 B)))
(-.f64 (+.f64 1 (/.f64 -1 (sin.f64 B))) 1)
(/.f64 -1 (-.f64 (+.f64 1 (sin.f64 B)) 1))
(/.f64 -1 (+.f64 (*.f64 -1/6 (pow.f64 B 3)) 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 (+.f64 (.f64 -7/360 (pow.f64 B 3)) (.f64 -1/6 B)) (/.f64 1 B))
(/.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 (sqrt.f64 1/2) (sin.f64 B)) F)
(/.f64 (*.f64 (sqrt.f64 1/2) F) (sin.f64 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 (/.f64 -1 B) (/.f64 x (tan.f64 B)))
(*.f64 (/.f64 (sqrt.f64 1/2) (sin.f64 B)) F)
(/.f64 1 (sin.f64 B))
(-.f64 (/.f64 -1 B) (/.f64 x (tan.f64 B)))

Calls

3 calls:

116.0ms	F
95.0ms	x
44.0ms	B

Results

Error	Segments	Branch
24.7b	7	`F`
25.2b	3	`B`
21.0b	6	`x`

Compiler

Compiled 290 to 199 computations (31.4% saved)

bsearch481.0ms (1%)

Algorithm

5×	binary-search

Steps

Time	Left	Right
99.0ms	2.142598733722326e-49	5.229396795029797e-43
95.0ms	1.9845655496865334e-150	2.8599155464239243e-143
95.0ms	-4.784891647918743e-138	-1.1360668684417454e-141
95.0ms	-1.3395459180828454e-57	-1.65650397064589e-73
97.0ms	-3.388011687540596e-13	-3.82313553234967e-20

Compiler

Compiled 36 to 28 computations (22.2% saved)

regimes289.0ms (0.6%)

Counts

27 → 7

Calls

Call 1

Inputs
(/.f64 -1 B)
(neg.f64 (/.f64 x B))
(-.f64 (/.f64 -1 B) 1)
(/.f64 (-.f64 -1 x) B)
(/.f64 (-.f64 -1 x) B)
(/.f64 (-.f64 1 x) B)
(-.f64 (-.f64 1 (/.f64 1 B)) 1)
(-.f64 (*.f64 -1/6 B) (/.f64 1 B))
(/.f64 (+.f64 (.f64 F (/.f64 1 F)) (.f64 -1 x)) B)
(/.f64 (+.f64 (.f64 F (/.f64 -1 F)) (.f64 -1 x)) B)
(+.f64 (.f64 (-.f64 (.f64 1/3 x) 1/6) B) (*.f64 -1 (/.f64 (+.f64 1 x) B)))
(/.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 1 (sin.f64 B))
(/.f64 -1 (sin.f64 B))
(/.f64 6 (pow.f64 B 3))
(-.f64 (/.f64 -1 B) (/.f64 x (tan.f64 B)))
(-.f64 (+.f64 1 (/.f64 -1 (sin.f64 B))) 1)
(/.f64 -1 (-.f64 (+.f64 1 (sin.f64 B)) 1))
(/.f64 -1 (+.f64 (*.f64 -1/6 (pow.f64 B 3)) 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 (+.f64 (.f64 -7/360 (pow.f64 B 3)) (.f64 -1/6 B)) (/.f64 1 B))
(/.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)

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

Calls

3 calls:

116.0ms	B
94.0ms	x
70.0ms	F

Results

Error	Segments	Branch
27.7b	4	`F`
25.2b	3	`B`
23.4b	7	`x`

Compiler

Compiled 276 to 191 computations (30.8% saved)

bsearch831.0ms (1.7%)

Algorithm

6×	binary-search

Steps

Time	Left	Right
144.0ms	265.88939426725454	6725.829434206097
101.0ms	5.100770164993991e-53	2.2530039972711148e-52
132.0ms	4.926440180854666e-156	2.995878043250231e-154
176.0ms	-4.784891647918743e-138	-1.1360668684417454e-141
145.0ms	-1.3395459180828454e-57	-1.65650397064589e-73
132.0ms	-3.388011687540596e-13	-3.82313553234967e-20

Compiler

Compiled 36 to 28 computations (22.2% saved)

regimes306.0ms (0.6%)

Counts

25 → 7

Calls

Call 1

Inputs
(/.f64 -1 B)
(neg.f64 (/.f64 x B))
(-.f64 (/.f64 -1 B) 1)
(/.f64 (-.f64 -1 x) B)
(/.f64 (-.f64 -1 x) B)
(/.f64 (-.f64 1 x) B)
(-.f64 (-.f64 1 (/.f64 1 B)) 1)
(-.f64 (*.f64 -1/6 B) (/.f64 1 B))
(/.f64 (+.f64 (.f64 F (/.f64 1 F)) (.f64 -1 x)) B)
(/.f64 (+.f64 (.f64 F (/.f64 -1 F)) (.f64 -1 x)) B)
(+.f64 (.f64 (-.f64 (.f64 1/3 x) 1/6) B) (*.f64 -1 (/.f64 (+.f64 1 x) B)))
(/.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 1 (sin.f64 B))
(/.f64 -1 (sin.f64 B))
(/.f64 6 (pow.f64 B 3))
(-.f64 (/.f64 -1 B) (/.f64 x (tan.f64 B)))
(-.f64 (+.f64 1 (/.f64 -1 (sin.f64 B))) 1)
(/.f64 -1 (-.f64 (+.f64 1 (sin.f64 B)) 1))
(/.f64 -1 (+.f64 (*.f64 -1/6 (pow.f64 B 3)) 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 (+.f64 (.f64 -7/360 (pow.f64 B 3)) (.f64 -1/6 B)) (/.f64 1 B))
(/.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 (/.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 1 (sin.f64 B))
(/.f64 (+.f64 (.f64 F (sqrt.f64 (/.f64 1 (+.f64 (.f64 2 x) 2)))) (*.f64 -1 x)) B)
(-.f64 (/.f64 -1 B) (/.f64 x (tan.f64 B)))

Calls

3 calls:

121.0ms	F
116.0ms	x
61.0ms	B

Results

Error	Segments	Branch
27.7b	4	`F`
25.2b	3	`B`
23.4b	7	`x`

Compiler

Compiled 239 to 164 computations (31.4% saved)

bsearch646.0ms (1.3%)

Algorithm

6×	binary-search

Steps

Time	Left	Right
97.0ms	265.88939426725454	6725.829434206097
115.0ms	5.100770164993991e-53	2.2530039972711148e-52
96.0ms	4.926440180854666e-156	2.995878043250231e-154
104.0ms	-4.784891647918743e-138	-1.1360668684417454e-141
137.0ms	-1.3395459180828454e-57	-1.65650397064589e-73
97.0ms	-3.388011687540596e-13	-3.82313553234967e-20

Compiler

Compiled 36 to 28 computations (22.2% saved)

regimes136.0ms (0.3%)

Counts

23 → 4

Calls

Call 1

Inputs
(/.f64 -1 B)
(neg.f64 (/.f64 x B))
(-.f64 (/.f64 -1 B) 1)
(/.f64 (-.f64 -1 x) B)
(/.f64 (-.f64 -1 x) B)
(/.f64 (-.f64 1 x) B)
(-.f64 (-.f64 1 (/.f64 1 B)) 1)
(-.f64 (*.f64 -1/6 B) (/.f64 1 B))
(/.f64 (+.f64 (.f64 F (/.f64 1 F)) (.f64 -1 x)) B)
(/.f64 (+.f64 (.f64 F (/.f64 -1 F)) (.f64 -1 x)) B)
(+.f64 (.f64 (-.f64 (.f64 1/3 x) 1/6) B) (*.f64 -1 (/.f64 (+.f64 1 x) B)))
(/.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 1 (sin.f64 B))
(/.f64 -1 (sin.f64 B))
(/.f64 6 (pow.f64 B 3))
(-.f64 (/.f64 -1 B) (/.f64 x (tan.f64 B)))
(-.f64 (+.f64 1 (/.f64 -1 (sin.f64 B))) 1)
(/.f64 -1 (-.f64 (+.f64 1 (sin.f64 B)) 1))
(/.f64 -1 (+.f64 (*.f64 -1/6 (pow.f64 B 3)) 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 (+.f64 (.f64 -7/360 (pow.f64 B 3)) (.f64 -1/6 B)) (/.f64 1 B))

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

Calls

3 calls:

46.0ms	F
46.0ms	x
35.0ms	B

Results

Error	Segments	Branch
31.1b	3	`F`
30.2b	3	`B`
28.6b	4	`x`

Compiler

Compiled 205 to 142 computations (30.7% saved)

bsearch361.0ms (0.7%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
100.0ms	2.142598733722326e-49	5.229396795029797e-43
121.0ms	1.987687951265954e-267	6.614536109007765e-264
140.0ms	-8.777406247443913e-152	-4.448879466934731e-154

Compiler

Compiled 36 to 28 computations (22.2% saved)

regimes138.0ms (0.3%)

Counts

16 → 3

Calls

Call 1

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

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

Calls

3 calls:

78.0ms	x
30.0ms	F
25.0ms	B

Results

Error	Segments	Branch
40.2b	3	`F`
44.8b	3	`B`
43.1b	4	`x`

Compiler

Compiled 136 to 93 computations (31.6% saved)

bsearch1.6s (3.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
1.1s	0.02491819704162138	7.656010062125004e+25
473.0ms	-4.794092221588328e-21	-2.1950082282651636e-22

Compiler

Compiled 324 to 262 computations (19.1% saved)

regimes75.0ms (0.2%)

Counts

14 → 3

Calls

Call 1

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

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

Calls

3 calls:

28.0ms	F
26.0ms	x
17.0ms	B

Results

Error	Segments	Branch
42.6b	3	`F`
47.1b	2	`B`
45.3b	3	`x`

Compiler

Compiled 127 to 87 computations (31.5% saved)

bsearch1.3s (2.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
1.2s	0.02491819704162138	7.656010062125004e+25
156.0ms	-6.507540512333251e-35	-5.269978695784812e-36

Compiler

Compiled 229 to 184 computations (19.7% saved)

regimes65.0ms (0.1%)

Counts

13 → 3

Calls

Call 1

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

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

Calls

3 calls:

29.0ms	x
22.0ms	F
9.0ms	B

Results

Error	Segments	Branch
42.7b	3	`F`
49.9b	1	`B`
46.9b	4	`x`

Compiler

Compiled 123 to 84 computations (31.7% saved)

bsearch176.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
114.0ms	1.3672903509916403e-64	2.214114726208514e-59
62.0ms	-6.507540512333251e-35	-5.269978695784812e-36

Compiler

Compiled 70 to 54 computations (22.9% saved)

regimes28.0ms (0.1%)

Counts

5 → 2

Calls

Call 1

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

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

Calls

3 calls:

12.0ms	x
9.0ms	F
5.0ms	B

Results

Error	Segments	Branch
47.0b	2	`F`
49.9b	1	`B`
48.8b	2	`x`

Compiler

Compiled 37 to 26 computations (29.7% saved)

bsearch160.0ms (0.3%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
160.0ms	-6.507540512333251e-35	-5.269978695784812e-36

Compiler

Compiled 53 to 41 computations (22.6% saved)

regimes63.0ms (0.1%)

Counts

3 → 3

Calls

Call 1

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

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

Calls

3 calls:

42.0ms	B
10.0ms	x
7.0ms	F

Results

Error	Segments	Branch
48.0b	2	`F`
49.9b	1	`B`
47.8b	3	`x`

Compiler

Compiled 27 to 20 computations (25.9% saved)

bsearch418.0ms (0.8%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
229.0ms	9.260773538053991e-268	1.987687951265954e-267
189.0ms	-1.3395459180828454e-57	-1.65650397064589e-73

Compiler

Compiled 36 to 28 computations (22.2% saved)

regimes81.0ms (0.2%)

Accuracy

Total -14.1b remaining (-29.3%)

Threshold costs -14.1b (-29.3%)

Counts

2 → 3

Calls

Call 1

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

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

Calls

3 calls:

55.0ms	x
17.0ms	F
7.0ms	B

Results

Error	Segments	Branch
48.4b	2	`F`
49.9b	1	`B`
48.0b	3	`x`

Compiler

Compiled 22 to 16 computations (27.3% saved)

bsearch512.0ms (1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
202.0ms	1.987687951265954e-267	6.614536109007765e-264
310.0ms	-5.443389454077265e-56	-1.3395459180828454e-57

Compiler

Compiled 36 to 28 computations (22.2% saved)

simplify188.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

26×	`+-commutative_binary64`
23×	`*-commutative_binary64`
15×	`sub-neg_binary64`
11×	`neg-sub0_binary64`
10×	`neg-mul-1_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	207	1783
1	259	1727
2	299	1727
3	319	1727
4	327	1727
5	329	1727

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 F -3896043919220649763193561431724021947521305746310307775572806920848175890658663524000969261056) (-.f64 (/.f64 -1 (sin.f64 B)) (/.f64 x (tan.f64 B))) (if (<=.f64 F 8085133053421345749733215699187269632) (+.f64 (neg.f64 (/.f64 x (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 B)))) (/.f64 1 (sin.f64 B)))))
(if (<=.f64 F -1) (-.f64 (/.f64 -1 (sin.f64 B)) (/.f64 x (tan.f64 B))) (if (<=.f64 F 5902958103587057/590295810358705651712) (+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 F (/.f64 (sin.f64 B) (sqrt.f64 1/2)))) (+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 (sin.f64 B)))))
(if (<=.f64 F -340) (-.f64 (/.f64 -1 (sin.f64 B)) (/.f64 x (tan.f64 B))) (if (<=.f64 F -21359870359209100/2135987035920910082395021706169552114602704522356652769947041607822219725780640550022962086936576) (+.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))))) (if (<=.f64 F 8069530869021589/80695308690215893426747474125094121072803306025913234775958104891895238188026287332176417290004307232371974124148359168) (+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 F (.f64 (sqrt.f64 (+.f64 2 (.f64 2 x))) B))) (if (<=.f64 F 49732323640978664/497323236409786642155382248146820840100456150797347717440463976893159497012533375533056) (+.f64 (neg.f64 (/.f64 x B)) (/.f64 F (.f64 (sin.f64 B) (sqrt.f64 (+.f64 (.f64 2 x) 2))))) (if (<=.f64 F 5312662293228351/1180591620717411303424) (+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 F (.f64 (sqrt.f64 (+.f64 2 (.f64 2 x))) B))) (+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 (sin.f64 B))))))))
(if (<=.f64 F -4835703278458517/75557863725914323419136) (-.f64 (/.f64 -1 (sin.f64 B)) (/.f64 x (tan.f64 B))) (if (<=.f64 F -21359870359209100/2135987035920910082395021706169552114602704522356652769947041607822219725780640550022962086936576) (+.f64 (neg.f64 (/.f64 x B)) (/.f64 F (.f64 (sin.f64 B) (sqrt.f64 (+.f64 (.f64 2 x) 2))))) (if (<=.f64 F 8069530869021589/80695308690215893426747474125094121072803306025913234775958104891895238188026287332176417290004307232371974124148359168) (+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 F (.f64 (sqrt.f64 (+.f64 2 (.f64 2 x))) B))) (if (<=.f64 F 49732323640978664/497323236409786642155382248146820840100456150797347717440463976893159497012533375533056) (+.f64 (neg.f64 (/.f64 x B)) (/.f64 F (.f64 (sin.f64 B) (sqrt.f64 (+.f64 (.f64 2 x) 2))))) (if (<=.f64 F 5312662293228351/1180591620717411303424) (+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 F (.f64 (sqrt.f64 (+.f64 2 (.f64 2 x))) B))) (+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 (sin.f64 B))))))))
(if (<=.f64 F -4835703278458517/75557863725914323419136) (-.f64 (/.f64 -1 (sin.f64 B)) (/.f64 x (tan.f64 B))) (if (<=.f64 F -577523481808458624/3121748550315992231381597229793166305748598142664971150859156959625371738819765620120306103063491971159826931121406622895447975679288285306290176) (+.f64 (neg.f64 (/.f64 x B)) (/.f64 F (.f64 (sin.f64 B) (sqrt.f64 (+.f64 (.f64 2 x) 2))))) (if (<=.f64 F 2456133417139715/372141426839350727961253789638658321589064376671906846864122981980487315514059736743009817965446945567110411062408283101969716033850703872) (/.f64 (.f64 x (neg.f64 (cos.f64 B))) (sin.f64 B)) (if (<=.f64 F 461168601842738816/18446744073709551616) (+.f64 (neg.f64 (/.f64 x B)) (/.f64 F (.f64 (sin.f64 B) (sqrt.f64 (+.f64 (.f64 2 x) 2))))) (+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 (sin.f64 B)))))))
(if (<=.f64 F -4835703278458517/75557863725914323419136) (-.f64 (/.f64 -1 (sin.f64 B)) (/.f64 x (tan.f64 B))) (if (<=.f64 F -12131976000217788/26959946667150639794667015087019630673637144422540572481103610249216) (.f64 (/.f64 (sqrt.f64 1/2) (sin.f64 B)) F) (if (<=.f64 F 8392312103782453/80695308690215893426747474125094121072803306025913234775958104891895238188026287332176417290004307232371974124148359168) (/.f64 (.f64 x (neg.f64 (cos.f64 B))) (sin.f64 B)) (if (<=.f64 F 2028240960365167/10141204801825835211973625643008) (.f64 (/.f64 (sqrt.f64 1/2) (sin.f64 B)) F) (+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 (sin.f64 B)))))))
(if (<=.f64 F -4835703278458517/75557863725914323419136) (-.f64 (/.f64 -1 (sin.f64 B)) (/.f64 x (tan.f64 B))) (if (<=.f64 F -12131976000217788/26959946667150639794667015087019630673637144422540572481103610249216) (.f64 (/.f64 (sqrt.f64 1/2) (sin.f64 B)) F) (if (<=.f64 F 8392312103782453/80695308690215893426747474125094121072803306025913234775958104891895238188026287332176417290004307232371974124148359168) (/.f64 (.f64 x (neg.f64 (cos.f64 B))) (sin.f64 B)) (if (<=.f64 F 2845706385096283/237142198758023568227473377297792835283496928595231875152809132048206089502588928) (/.f64 (.f64 (sqrt.f64 1/2) F) (sin.f64 B)) (if (<=.f64 F 1380962381785069824/6277101735386680763835789423207666416102355444464034512896) (.f64 x (/.f64 (neg.f64 (cos.f64 B)) (sin.f64 B))) (if (<=.f64 F 461168601842738816/18446744073709551616) (+.f64 (.f64 -1 (/.f64 x B)) (.f64 (/.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 (.f64 2 x) 2))))) (if (<=.f64 F 2928824732976153129397041070004392975342306221119090308176924275006132942757230357505025461234771044339934242797518848) (/.f64 1 (sin.f64 B)) (/.f64 (.f64 x (neg.f64 (cos.f64 B))) (sin.f64 B)))))))))
(if (<=.f64 F -340) (-.f64 (/.f64 -1 B) (/.f64 x (tan.f64 B))) (if (<=.f64 F -12131976000217788/26959946667150639794667015087019630673637144422540572481103610249216) (.f64 (/.f64 (sqrt.f64 1/2) (sin.f64 B)) F) (if (<=.f64 F 8392312103782453/80695308690215893426747474125094121072803306025913234775958104891895238188026287332176417290004307232371974124148359168) (/.f64 (.f64 x (neg.f64 (cos.f64 B))) (sin.f64 B)) (if (<=.f64 F 2845706385096283/237142198758023568227473377297792835283496928595231875152809132048206089502588928) (/.f64 (.f64 (sqrt.f64 1/2) F) (sin.f64 B)) (if (<=.f64 F 1380962381785069824/6277101735386680763835789423207666416102355444464034512896) (.f64 x (/.f64 (neg.f64 (cos.f64 B)) (sin.f64 B))) (if (<=.f64 F 461168601842738816/18446744073709551616) (+.f64 (.f64 -1 (/.f64 x B)) (.f64 (/.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 (.f64 2 x) 2))))) (if (<=.f64 F 2928824732976153129397041070004392975342306221119090308176924275006132942757230357505025461234771044339934242797518848) (/.f64 1 (sin.f64 B)) (/.f64 (.f64 x (neg.f64 (cos.f64 B))) (sin.f64 B)))))))))
(if (<=.f64 F -340) (-.f64 (/.f64 -1 B) (/.f64 x (tan.f64 B))) (if (<=.f64 F -12131976000217788/26959946667150639794667015087019630673637144422540572481103610249216) (.f64 (/.f64 (sqrt.f64 1/2) (sin.f64 B)) F) (if (<=.f64 F 8392312103782453/80695308690215893426747474125094121072803306025913234775958104891895238188026287332176417290004307232371974124148359168) (.f64 x (/.f64 (neg.f64 (cos.f64 B)) (sin.f64 B))) (if (<=.f64 F 2845706385096283/237142198758023568227473377297792835283496928595231875152809132048206089502588928) (/.f64 (.f64 (sqrt.f64 1/2) F) (sin.f64 B)) (if (<=.f64 F 1380962381785069824/6277101735386680763835789423207666416102355444464034512896) (.f64 x (/.f64 (neg.f64 (cos.f64 B)) (sin.f64 B))) (if (<=.f64 F 461168601842738816/18446744073709551616) (+.f64 (.f64 -1 (/.f64 x B)) (.f64 (/.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 (.f64 2 x) 2))))) (if (<=.f64 F 2928824732976153129397041070004392975342306221119090308176924275006132942757230357505025461234771044339934242797518848) (/.f64 1 (sin.f64 B)) (.f64 x (/.f64 (neg.f64 (cos.f64 B)) (sin.f64 B))))))))))
(if (<=.f64 x -26842594058069332/79228162514264337593543950336) (-.f64 (/.f64 -1 B) (/.f64 x (tan.f64 B))) (if (<=.f64 x -4733545547001083/3533694129556768659166595001485837031654967793751237916243212402585239552) (/.f64 (+.f64 (.f64 F (sqrt.f64 (/.f64 1 (+.f64 (.f64 2 x) 2)))) (.f64 -1 x)) B) (if (<=.f64 x -64154908180881024/13407807929942597099574024998205846127479365820592393377723561443721764030073546976801874298166903427690031858186486050853753882811946569946433649006084096) (-.f64 (/.f64 -1 B) (/.f64 x (tan.f64 B))) (if (<=.f64 x 1828534134304757/921377545122446619199598286374089084696513969828232526459034741270904336521520715841339532514076847544303802497745079321233052888165232576308943909041185557531590656) (.f64 (/.f64 (sqrt.f64 1/2) (sin.f64 B)) F) (if (<=.f64 x 5776434759025840128/26959946667150639794667015087019630673637144422540572481103610249216) (/.f64 1 (sin.f64 B)) (-.f64 (/.f64 -1 B) (/.f64 x (tan.f64 B))))))))
(if (<=.f64 x -26842594058069332/79228162514264337593543950336) (-.f64 (/.f64 -1 B) (/.f64 x (tan.f64 B))) (if (<=.f64 x -4733545547001083/3533694129556768659166595001485837031654967793751237916243212402585239552) (/.f64 (+.f64 (.f64 F (sqrt.f64 (/.f64 1 (+.f64 (.f64 2 x) 2)))) (.f64 -1 x)) B) (if (<=.f64 x -64154908180881024/13407807929942597099574024998205846127479365820592393377723561443721764030073546976801874298166903427690031858186486050853753882811946569946433649006084096) (-.f64 (/.f64 -1 B) (/.f64 x (tan.f64 B))) (if (<=.f64 x 1218458427764018176/247330401473104534060502521019647190035131349101211839914063056092897225106531867170316401061243044989597671426016139339351365034306751209967546155101893167916606772148699136) (+.f64 (.f64 -1 (/.f64 x B)) (.f64 (/.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 (.f64 2 x) 2))))) (if (<=.f64 x 5500659664385247/107839786668602559178668060348078522694548577690162289924414440996864) (/.f64 1 (sin.f64 B)) (if (<=.f64 x 4677575691186619/17592186044416) (+.f64 (.f64 -1 (/.f64 x B)) (.f64 (/.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 2 x) 2))))) (-.f64 (/.f64 -1 B) (/.f64 x (tan.f64 B)))))))))
(if (<=.f64 x -26842594058069332/79228162514264337593543950336) (-.f64 (/.f64 -1 B) (/.f64 x (tan.f64 B))) (if (<=.f64 x -4733545547001083/3533694129556768659166595001485837031654967793751237916243212402585239552) (/.f64 (+.f64 (.f64 F (sqrt.f64 (/.f64 1 (+.f64 (.f64 2 x) 2)))) (.f64 -1 x)) B) (if (<=.f64 x -64154908180881024/13407807929942597099574024998205846127479365820592393377723561443721764030073546976801874298166903427690031858186486050853753882811946569946433649006084096) (-.f64 (/.f64 -1 B) (/.f64 x (tan.f64 B))) (if (<=.f64 x 1218458427764018176/247330401473104534060502521019647190035131349101211839914063056092897225106531867170316401061243044989597671426016139339351365034306751209967546155101893167916606772148699136) (/.f64 (+.f64 (.f64 F (sqrt.f64 (/.f64 1 (+.f64 (.f64 2 x) 2)))) (.f64 -1 x)) B) (if (<=.f64 x 5500659664385247/107839786668602559178668060348078522694548577690162289924414440996864) (/.f64 1 (sin.f64 B)) (if (<=.f64 x 4677575691186619/17592186044416) (/.f64 (+.f64 (.f64 F (sqrt.f64 (/.f64 1 (+.f64 (.f64 2 x) 2)))) (*.f64 -1 x)) B) (-.f64 (/.f64 -1 B) (/.f64 x (tan.f64 B)))))))))
(if (<=.f64 x -5175875213319871/58968162887836583628774290327941701420576894069006881693378223441337877537377325813845730080900918242835443359855685076558915384842574884883772410178635875682021801984) (-.f64 (/.f64 -1 B) (/.f64 x (tan.f64 B))) (if (<=.f64 x 4618321237984433/2323463919496536035621972653359219625205094065092803842274643530181157276813131833664325491400244297796560505922176520391335289446163915168423172782972491602785891938199156053035447515366090213859748743409924120634480857354496687637745467094294778254706320477272099863787133357522944) (/.f64 -1 (sin.f64 B)) (if (<=.f64 x 5776434759025840128/26959946667150639794667015087019630673637144422540572481103610249216) (/.f64 1 (sin.f64 B)) (-.f64 (/.f64 -1 B) (/.f64 x (tan.f64 B))))))
(if (<=.f64 F -1599327124528410880/340282366920938463463374607431768211456) (/.f64 -1 (sin.f64 B)) (if (<=.f64 F 74999999999999999278579712) (neg.f64 (/.f64 x B)) (/.f64 1 (sin.f64 B))))
(if (<=.f64 F -7482888383134223/748288838313422294120286634350736906063837462003712) (/.f64 (-.f64 -1 x) B) (if (<=.f64 F 74999999999999999278579712) (neg.f64 (/.f64 x B)) (/.f64 1 (sin.f64 B))))
(if (<=.f64 F -7482888383134223/748288838313422294120286634350736906063837462003712) (/.f64 (-.f64 -1 x) B) (if (<=.f64 F 115792089237316192/115792089237316195423570985008687907853269984665640564039457584007913129639936) (neg.f64 (/.f64 x B)) (/.f64 (-.f64 1 x) B)))
(if (<=.f64 F -7482888383134223/748288838313422294120286634350736906063837462003712) (/.f64 (-.f64 -1 x) B) (neg.f64 (/.f64 x B)))
(if (<=.f64 x -4733545547001083/3533694129556768659166595001485837031654967793751237916243212402585239552) (neg.f64 (/.f64 x B)) (if (<=.f64 x 2151707318229673/2323463919496536035621972653359219625205094065092803842274643530181157276813131833664325491400244297796560505922176520391335289446163915168423172782972491602785891938199156053035447515366090213859748743409924120634480857354496687637745467094294778254706320477272099863787133357522944) (-.f64 (/.f64 -1 B) 1) (neg.f64 (/.f64 x B))))
(if (<=.f64 x -6011022924613767/110427941548649020598956093796432407239217743554726184882600387580788736) (neg.f64 (/.f64 x B)) (if (<=.f64 x 4618321237984433/2323463919496536035621972653359219625205094065092803842274643530181157276813131833664325491400244297796560505922176520391335289446163915168423172782972491602785891938199156053035447515366090213859748743409924120634480857354496687637745467094294778254706320477272099863787133357522944) (/.f64 -1 B) (neg.f64 (/.f64 x B))))
(/.f64 -1 B)

Outputs
(if (<=.f64 F -3896043919220649763193561431724021947521305746310307775572806920848175890658663524000969261056) (-.f64 (/.f64 -1 (sin.f64 B)) (/.f64 x (tan.f64 B))) (if (<=.f64 F 8085133053421345749733215699187269632) (+.f64 (neg.f64 (/.f64 x (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 B)))) (/.f64 1 (sin.f64 B)))))
(if (<=.f64 F -3896043919220649763193561431724021947521305746310307775572806920848175890658663524000969261056) (-.f64 (/.f64 -1 (sin.f64 B)) (/.f64 x (tan.f64 B))) (if (<=.f64 F 8085133053421345749733215699187269632) (+.f64 (/.f64 (neg.f64 x) (tan.f64 B)) (.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (.f64 F F) 2) (.f64 x 2)) -1/2))) (+.f64 (.f64 x (neg.f64 (/.f64 1 (tan.f64 B)))) (/.f64 1 (sin.f64 B)))))
(if (<=.f64 F -3896043919220649763193561431724021947521305746310307775572806920848175890658663524000969261056) (-.f64 (/.f64 -1 (sin.f64 B)) (/.f64 x (tan.f64 B))) (if (<=.f64 F 8085133053421345749733215699187269632) (-.f64 (.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (.f64 F F) 2) (.f64 x 2)) -1/2)) (/.f64 x (tan.f64 B))) (+.f64 (.f64 x (/.f64 -1 (tan.f64 B))) (/.f64 1 (sin.f64 B)))))
(if (<=.f64 F -1) (-.f64 (/.f64 -1 (sin.f64 B)) (/.f64 x (tan.f64 B))) (if (<=.f64 F 5902958103587057/590295810358705651712) (+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 F (/.f64 (sin.f64 B) (sqrt.f64 1/2)))) (+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 (sin.f64 B)))))
(if (<=.f64 F -1) (-.f64 (/.f64 -1 (sin.f64 B)) (/.f64 x (tan.f64 B))) (if (<=.f64 F 5902958103587057/590295810358705651712) (+.f64 (.f64 x (neg.f64 (/.f64 1 (tan.f64 B)))) (/.f64 F (/.f64 (sin.f64 B) (sqrt.f64 1/2)))) (+.f64 (.f64 x (neg.f64 (/.f64 1 (tan.f64 B)))) (/.f64 1 (sin.f64 B)))))
(if (<=.f64 F -1) (-.f64 (/.f64 -1 (sin.f64 B)) (/.f64 x (tan.f64 B))) (if (<=.f64 F 5902958103587057/590295810358705651712) (+.f64 (.f64 x (/.f64 -1 (tan.f64 B))) (/.f64 F (/.f64 (sin.f64 B) (sqrt.f64 1/2)))) (+.f64 (.f64 x (/.f64 -1 (tan.f64 B))) (/.f64 1 (sin.f64 B)))))
(if (<=.f64 F -340) (-.f64 (/.f64 -1 (sin.f64 B)) (/.f64 x (tan.f64 B))) (if (<=.f64 F -21359870359209100/2135987035920910082395021706169552114602704522356652769947041607822219725780640550022962086936576) (+.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))))) (if (<=.f64 F 8069530869021589/80695308690215893426747474125094121072803306025913234775958104891895238188026287332176417290004307232371974124148359168) (+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 F (.f64 (sqrt.f64 (+.f64 2 (.f64 2 x))) B))) (if (<=.f64 F 49732323640978664/497323236409786642155382248146820840100456150797347717440463976893159497012533375533056) (+.f64 (neg.f64 (/.f64 x B)) (/.f64 F (.f64 (sin.f64 B) (sqrt.f64 (+.f64 (.f64 2 x) 2))))) (if (<=.f64 F 5312662293228351/1180591620717411303424) (+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 F (.f64 (sqrt.f64 (+.f64 2 (.f64 2 x))) B))) (+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 (sin.f64 B))))))))
(if (<=.f64 F -340) (-.f64 (/.f64 -1 (sin.f64 B)) (/.f64 x (tan.f64 B))) (if (<=.f64 F -5339967589802275/533996758980227520598755426542388028650676130589163192486760401955554931445160137505740521734144) (+.f64 (.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (.f64 F F) 2) (.f64 x 2)) -1/2)) (neg.f64 (/.f64 x B))) (if (<=.f64 F 8069530869021589/80695308690215893426747474125094121072803306025913234775958104891895238188026287332176417290004307232371974124148359168) (+.f64 (.f64 x (neg.f64 (/.f64 1 (tan.f64 B)))) (/.f64 F (.f64 B (sqrt.f64 (+.f64 2 (.f64 x 2)))))) (if (<=.f64 F 6216540455122333/62165404551223330269422781018352605012557018849668464680057997111644937126566671941632) (+.f64 (neg.f64 (/.f64 x B)) (/.f64 F (.f64 (sin.f64 B) (sqrt.f64 (+.f64 2 (.f64 x 2)))))) (if (<=.f64 F 5312662293228351/1180591620717411303424) (+.f64 (.f64 x (neg.f64 (/.f64 1 (tan.f64 B)))) (/.f64 F (.f64 B (sqrt.f64 (+.f64 2 (.f64 x 2)))))) (+.f64 (.f64 x (neg.f64 (/.f64 1 (tan.f64 B)))) (/.f64 1 (sin.f64 B))))))))
(if (<=.f64 F -340) (-.f64 (/.f64 -1 (sin.f64 B)) (/.f64 x (tan.f64 B))) (if (<=.f64 F -5339967589802275/533996758980227520598755426542388028650676130589163192486760401955554931445160137505740521734144) (-.f64 (.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (.f64 F F) 2) (.f64 x 2)) -1/2)) (/.f64 x B)) (if (<=.f64 F 8069530869021589/80695308690215893426747474125094121072803306025913234775958104891895238188026287332176417290004307232371974124148359168) (+.f64 (.f64 x (/.f64 -1 (tan.f64 B))) (/.f64 F (.f64 B (sqrt.f64 (+.f64 2 (.f64 x 2)))))) (if (<=.f64 F 6216540455122333/62165404551223330269422781018352605012557018849668464680057997111644937126566671941632) (-.f64 (/.f64 F (.f64 (sin.f64 B) (sqrt.f64 (+.f64 2 (.f64 x 2))))) (/.f64 x B)) (if (<=.f64 F 5312662293228351/1180591620717411303424) (+.f64 (.f64 x (/.f64 -1 (tan.f64 B))) (/.f64 F (.f64 B (sqrt.f64 (+.f64 2 (.f64 x 2)))))) (+.f64 (.f64 x (/.f64 -1 (tan.f64 B))) (/.f64 1 (sin.f64 B))))))))
(if (<=.f64 F -4835703278458517/75557863725914323419136) (-.f64 (/.f64 -1 (sin.f64 B)) (/.f64 x (tan.f64 B))) (if (<=.f64 F -21359870359209100/2135987035920910082395021706169552114602704522356652769947041607822219725780640550022962086936576) (+.f64 (neg.f64 (/.f64 x B)) (/.f64 F (.f64 (sin.f64 B) (sqrt.f64 (+.f64 (.f64 2 x) 2))))) (if (<=.f64 F 8069530869021589/80695308690215893426747474125094121072803306025913234775958104891895238188026287332176417290004307232371974124148359168) (+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 F (.f64 (sqrt.f64 (+.f64 2 (.f64 2 x))) B))) (if (<=.f64 F 49732323640978664/497323236409786642155382248146820840100456150797347717440463976893159497012533375533056) (+.f64 (neg.f64 (/.f64 x B)) (/.f64 F (.f64 (sin.f64 B) (sqrt.f64 (+.f64 (.f64 2 x) 2))))) (if (<=.f64 F 5312662293228351/1180591620717411303424) (+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 F (.f64 (sqrt.f64 (+.f64 2 (.f64 2 x))) B))) (+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 (sin.f64 B))))))))
(if (<=.f64 F -4835703278458517/75557863725914323419136) (-.f64 (/.f64 -1 (sin.f64 B)) (/.f64 x (tan.f64 B))) (if (<=.f64 F -5339967589802275/533996758980227520598755426542388028650676130589163192486760401955554931445160137505740521734144) (+.f64 (neg.f64 (/.f64 x B)) (/.f64 F (.f64 (sin.f64 B) (sqrt.f64 (+.f64 2 (.f64 x 2)))))) (if (<=.f64 F 8069530869021589/80695308690215893426747474125094121072803306025913234775958104891895238188026287332176417290004307232371974124148359168) (+.f64 (.f64 x (neg.f64 (/.f64 1 (tan.f64 B)))) (/.f64 F (.f64 B (sqrt.f64 (+.f64 2 (.f64 x 2)))))) (if (<=.f64 F 6216540455122333/62165404551223330269422781018352605012557018849668464680057997111644937126566671941632) (+.f64 (neg.f64 (/.f64 x B)) (/.f64 F (.f64 (sin.f64 B) (sqrt.f64 (+.f64 2 (.f64 x 2)))))) (if (<=.f64 F 5312662293228351/1180591620717411303424) (+.f64 (.f64 x (neg.f64 (/.f64 1 (tan.f64 B)))) (/.f64 F (.f64 B (sqrt.f64 (+.f64 2 (.f64 x 2)))))) (+.f64 (*.f64 x (neg.f64 (/.f64 1 (tan.f64 B)))) (/.f64 1 (sin.f64 B))))))))
(if (<=.f64 F -4835703278458517/75557863725914323419136) (-.f64 (/.f64 -1 (sin.f64 B)) (/.f64 x (tan.f64 B))) (if (<=.f64 F -5339967589802275/533996758980227520598755426542388028650676130589163192486760401955554931445160137505740521734144) (-.f64 (/.f64 F (.f64 (sin.f64 B) (sqrt.f64 (+.f64 2 (.f64 x 2))))) (/.f64 x B)) (if (<=.f64 F 8069530869021589/80695308690215893426747474125094121072803306025913234775958104891895238188026287332176417290004307232371974124148359168) (+.f64 (.f64 x (/.f64 -1 (tan.f64 B))) (/.f64 F (.f64 B (sqrt.f64 (+.f64 2 (.f64 x 2)))))) (if (<=.f64 F 6216540455122333/62165404551223330269422781018352605012557018849668464680057997111644937126566671941632) (-.f64 (/.f64 F (.f64 (sin.f64 B) (sqrt.f64 (+.f64 2 (.f64 x 2))))) (/.f64 x B)) (if (<=.f64 F 5312662293228351/1180591620717411303424) (+.f64 (.f64 x (/.f64 -1 (tan.f64 B))) (/.f64 F (.f64 B (sqrt.f64 (+.f64 2 (.f64 x 2)))))) (+.f64 (*.f64 x (/.f64 -1 (tan.f64 B))) (/.f64 1 (sin.f64 B))))))))
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(if (<=.f64 x -4733545547001083/3533694129556768659166595001485837031654967793751237916243212402585239552) (neg.f64 (/.f64 x B)) (if (<=.f64 x 2151707318229673/2323463919496536035621972653359219625205094065092803842274643530181157276813131833664325491400244297796560505922176520391335289446163915168423172782972491602785891938199156053035447515366090213859748743409924120634480857354496687637745467094294778254706320477272099863787133357522944) (-.f64 (/.f64 -1 B) 1) (neg.f64 (/.f64 x B))))
(if (<=.f64 x -4733545547001083/3533694129556768659166595001485837031654967793751237916243212402585239552) (neg.f64 (/.f64 x B)) (if (<=.f64 x 2151707318229673/2323463919496536035621972653359219625205094065092803842274643530181157276813131833664325491400244297796560505922176520391335289446163915168423172782972491602785891938199156053035447515366090213859748743409924120634480857354496687637745467094294778254706320477272099863787133357522944) (+.f64 (/.f64 -1 B) -1) (neg.f64 (/.f64 x B))))
(if (<=.f64 x -4733545547001083/3533694129556768659166595001485837031654967793751237916243212402585239552) (neg.f64 (/.f64 x B)) (if (<=.f64 x 2151707318229673/2323463919496536035621972653359219625205094065092803842274643530181157276813131833664325491400244297796560505922176520391335289446163915168423172782972491602785891938199156053035447515366090213859748743409924120634480857354496687637745467094294778254706320477272099863787133357522944) (+.f64 -1 (/.f64 -1 B)) (neg.f64 (/.f64 x B))))
(if (<=.f64 x -6011022924613767/110427941548649020598956093796432407239217743554726184882600387580788736) (neg.f64 (/.f64 x B)) (if (<=.f64 x 4618321237984433/2323463919496536035621972653359219625205094065092803842274643530181157276813131833664325491400244297796560505922176520391335289446163915168423172782972491602785891938199156053035447515366090213859748743409924120634480857354496687637745467094294778254706320477272099863787133357522944) (/.f64 -1 B) (neg.f64 (/.f64 x B))))
(/.f64 -1 B)

Compiler

Compiled 1195 to 753 computations (37% saved)

soundness0.0ms (0%)

end597.0ms (1.2%)

Compiler: Compiled 1138 to 618 computations (45.7% saved)