Details

analyze895.0ms (3.3%)

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)

sample4.8s (17.7%)

Results

2.2s	2274×	body	1024	valid
1.4s	4790×	body	256	valid
834.0ms	1183×	body	512	valid
305.0ms	1169×	body	256	invalid
12.0ms	9×	body	2048	valid

preprocess84.0ms (0.3%)

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)

simplify73.0ms (0.3%)

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)

localize77.0ms (0.3%)

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)

series43.0ms (0.2%)

Counts

4 → 88

Calls

24 calls:

Time	Variable		Point	Expression
4.0ms	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	B	@	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	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	B	@	inf	(*.f64 x (/.f64 1 (tan.f64 B)))
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))))

rewrite89.0ms (0.3%)

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))))))

simplify89.0ms (0.3%)

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))

localize36.0ms (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)

series82.0ms (0.3%)

Counts

4 → 88

Calls

27 calls:

Time	Variable		Point	Expression
45.0ms	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)))
18.0ms	x	@	0	(pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)
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	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)))

rewrite396.0ms (1.5%)

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))))))

simplify132.0ms (0.5%)

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)))

eval767.0ms (2.8%)

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

prune207.0ms (0.8%)

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
	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)))))
▶	55.0b	(/.f64 -1 (sin.f64 B))
▶	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)))))
	54.9b	(/.f64 1 (sin.f64 B))
▶	38.1b	(/.f64 (+.f64 (.f64 F (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x)))))) (*.f64 -1 x)) B)
	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))))
	32.9b	(-.f64 (/.f64 -1 (sin.f64 B)) (/.f64 x (/.f64 (sin.f64 B) (cos.f64 B))))
	35.3b	(+.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 (.f64 F (pow.f64 (fma.f64 F F (fma.f64 2 x 2)) -1/2)) (sin.f64 B)))
	32.9b	(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 -1 (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)))
	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)))))
	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)))))
▶	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))))
	36.1b	(fma.f64 (/.f64 F (sin.f64 B)) (/.f64 1 F) (/.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))))
	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)))
	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)))))
	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))))
	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)))))
	36.1b	(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (.f64 (/.f64 F (sin.f64 B)) (/.f64 1 F)))
	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)))
	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))
	32.4b	(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 (sin.f64 B)))
	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)))))
	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))))))
▶	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)))
	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)))))
	8.1b	(+.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)))
	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)))))

Compiler

Compiled 1526 to 1134 computations (25.7% saved)

localize119.0ms (0.4%)

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)

series41.0ms (0.2%)

Counts

3 → 80

Calls

24 calls:

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

rewrite109.0ms (0.4%)

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))))))

simplify156.0ms (0.6%)

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)))))

localize8.0ms (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)

series4.0ms (0%)

Counts

2 → 8

Calls

6 calls:

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

rewrite48.0ms (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)))))))

simplify80.0ms (0.3%)

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)))

localize107.0ms (0.4%)

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)

series24.0ms (0.1%)

Counts

4 → 86

Calls

27 calls:

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

rewrite108.0ms (0.4%)

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))))))

simplify122.0ms (0.4%)

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)

localize101.0ms (0.4%)

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)

series16.0ms (0.1%)

Counts

2 → 34

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	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)))
2.0ms	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	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	@	-inf	(sqrt.f64 (/.f64 1 (+.f64 2 (*.f64 2 x))))
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)))

rewrite163.0ms (0.6%)

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))))))

simplify109.0ms (0.4%)

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)))))

localize95.0ms (0.4%)

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)

series14.0ms (0.1%)

Counts

2 → 16

Calls

12 calls:

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

rewrite82.0ms (0.3%)

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)))))))))

simplify186.0ms (0.7%)

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)))

eval1.0s (3.7%)

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

prune256.0ms (0.9%)

Pruning

48 alts after pruning (47 fresh and 1 done)

	Pruned	Kept	Total
New	1066	40	1106
Fresh	19	7	26
Picked	1	0	1
Done	3	1	4
Total	1089	48	1137

Error

Counts

1137 → 48

Alt Table

Click to see full alt table

Status	Error	Program
▶	52.0b	(*.f64 (sqrt.f64 (/.f64 1 (fma.f64 F F 2))) (/.f64 F B))
✓	55.0b	(/.f64 -1 (sin.f64 B))
	33.7b	(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 F (.f64 (sin.f64 B) (neg.f64 F))))
▶	48.6b	(/.f64 (*.f64 (sqrt.f64 1/2) F) (sin.f64 B))
▶	59.0b	(/.f64 -1 B)
	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)))
	50.6b	(/.f64 (-.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 (*.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))))
	32.9b	(+.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)))))
	59.8b	(-.f64 (+.f64 (.f64 -7/360 (pow.f64 B 3)) (.f64 -1/6 B)) (/.f64 1 B))
	32.6b	(+.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 x (tan.f64 B))) 3)) (/.f64 1 (sin.f64 B)))
	58.8b	(/.f64 -1 (-.f64 (+.f64 1 (sin.f64 B)) 1))
	52.0b	(/.f64 (+.f64 (.f64 F (/.f64 -1 F)) (.f64 -1 x)) B)
	54.9b	(/.f64 1 (sin.f64 B))
	32.9b	(-.f64 (/.f64 -1 (sin.f64 B)) (/.f64 x (/.f64 (sin.f64 B) (cos.f64 B))))
	55.6b	(+.f64 (.f64 1/2 (/.f64 (fma.f64 2 x 2) (.f64 F (*.f64 F B)))) (/.f64 (-.f64 -1 x) 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)))
	55.0b	(/.f64 -1 (log1p.f64 (expm1.f64 (sin.f64 B))))
	59.2b	(-.f64 (*.f64 -1/6 B) (/.f64 1 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)))))
	45.1b	(/.f64 (fma.f64 F (sqrt.f64 (/.f64 1 (fma.f64 x 2 2))) (neg.f64 x)) 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)))))))
	28.8b	(/.f64 (*.f64 x (neg.f64 (cos.f64 B))) (sin.f64 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)
	45.1b	(/.f64 (+.f64 (.f64 F (sqrt.f64 (/.f64 1 (+.f64 (.f64 2 x) 2)))) (*.f64 -1 x)) B)
	23.3b	(fma.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 1/2) (/.f64 (neg.f64 x) (tan.f64 B)))
	52.0b	(/.f64 (-.f64 -1 x) B)
	49.9b	(neg.f64 (/.f64 x B))
	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)))))
	55.0b	(-.f64 (+.f64 1 (/.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 1 (+.f64 (.f64 2 x) 2))))))
	48.8b	(.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (.f64 2 x) 2))))
▶	36.1b	(fma.f64 (/.f64 F (sin.f64 B)) (/.f64 1 F) (/.f64 (neg.f64 x) (tan.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)))
	50.6b	(/.f64 (+.f64 (.f64 F (/.f64 1 F)) (.f64 -1 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))))
	36.5b	(/.f64 (+.f64 (/.f64 F (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2)))) (*.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)))))
	28.9b	(*.f64 x (/.f64 (neg.f64 (cos.f64 B)) (sin.f64 B)))
	53.9b	(/.f64 (+.f64 (+.f64 1 (/.f64 (-.f64 -1 x) (.f64 F F))) (.f64 -1 x)) B)
	29.8b	(+.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)))
	32.4b	(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 (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)
	48.6b	(*.f64 (/.f64 (sqrt.f64 1/2) (sin.f64 B)) F)

Compiler

Compiled 1703 to 1276 computations (25.1% saved)

localize67.0ms (0.2%)

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))

rewrite57.0ms (0.2%)

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))))))))

simplify59.0ms (0.2%)

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)

localize14.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(sin.f64 B)
✓	0.2b	(/.f64 (*.f64 (sqrt.f64 1/2) F) (sin.f64 B))
✓	0.4b	(*.f64 (sqrt.f64 1/2) F)

Compiler

Compiled 21 to 14 computations (33.3% saved)

series6.0ms (0%)

Counts

2 → 4

Calls

9 calls:

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

rewrite70.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

850×	`pow1_binary64`
788×	`add-log-exp_binary64`
788×	`log1p-expm1-u_binary64`
788×	`expm1-log1p-u_binary64`
771×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	165	17
2	2089	17

Stop Event

1×	node limit

Counts

2 → 54

Calls

Call 1

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

Outputs

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

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

simplify55.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

714×	`fma-neg_binary64`
545×	`sub-neg_binary64`
362×	`*-commutative_binary64`
302×	`fma-def_binary64`
292×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	38	151
1	114	134
2	415	106
3	2085	98
4	7152	98

Stop Event

1×	node limit

Counts

58 → 62

Calls

Call 1

Inputs
(/.f64 (*.f64 (sqrt.f64 1/2) F) B)
(+.f64 (/.f64 (.f64 (sqrt.f64 1/2) F) B) (.f64 1/6 (.f64 (sqrt.f64 1/2) (.f64 F B))))
(+.f64 (/.f64 (.f64 (sqrt.f64 1/2) F) B) (+.f64 (.f64 1/6 (.f64 (sqrt.f64 1/2) (.f64 F B))) (.f64 -1 (.f64 (+.f64 (.f64 -1/36 (.f64 (sqrt.f64 1/2) F)) (.f64 1/120 (.f64 (sqrt.f64 1/2) F))) (pow.f64 B 3)))))
(+.f64 (/.f64 (.f64 (sqrt.f64 1/2) F) B) (+.f64 (.f64 1/6 (.f64 (sqrt.f64 1/2) (.f64 F B))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 1/720 (.f64 (sqrt.f64 1/2) F)) (+.f64 (.f64 -1/5040 (.f64 (sqrt.f64 1/2) F)) (.f64 1/6 (+.f64 (.f64 -1/36 (.f64 (sqrt.f64 1/2) F)) (.f64 1/120 (.f64 (sqrt.f64 1/2) F)))))) (pow.f64 B 5))) (.f64 -1 (.f64 (+.f64 (.f64 -1/36 (.f64 (sqrt.f64 1/2) F)) (.f64 1/120 (*.f64 (sqrt.f64 1/2) F))) (pow.f64 B 3))))))

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

localize19.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 1 (fma.f64 F F 2))
✓	5.0b	(*.f64 (sqrt.f64 (/.f64 1 (fma.f64 F F 2))) (/.f64 F B))
✓	13.4b	(sqrt.f64 (/.f64 1 (fma.f64 F F 2)))

Compiler

Compiled 38 to 23 computations (39.5% saved)

series8.0ms (0%)

Counts

3 → 48

Calls

12 calls:

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

rewrite81.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

3 → 167

Calls

Call 1

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

Outputs

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

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

simplify62.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	node limit

Counts

215 → 227

Calls

Call 1

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

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

localize20.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(sin.f64 B)
	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)) (/.f64 1 F) (/.f64 (neg.f64 x) (tan.f64 B)))

Compiler

Compiled 38 to 14 computations (63.2% saved)

series8.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite113.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

576×	`log-prod_binary64`
341×	`pow-prod-down_binary64`
312×	`prod-diff_binary64`
302×	`pow2_binary64`
211×	`pow1/3_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	20
1	251	17
2	3413	17

Stop Event

1×	node limit

Counts

1 → 180

Calls

Call 1

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

Outputs

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

simplify70.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

673×	`fma-neg_binary64`
500×	`sub-neg_binary64`
383×	`distribute-neg-in_binary64`
355×	`distribute-rgt-in_binary64`
345×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	69	791
1	191	715
2	559	696
3	2302	674
4	5912	672

Stop Event

1×	node limit

Counts

216 → 193

Calls

Call 1

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

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

eval487.0ms (1.8%)

Compiler: Compiled 23086 to 11152 computations (51.7% saved)

prune277.0ms (1%)

Pruning

63 alts after pruning (60 fresh and 3 done)

	Pruned	Kept	Total
New	793	35	828
Fresh	17	25	42
Picked	1	0	1
Done	2	3	5
Total	813	63	876

Error

Counts

876 → 63

Alt Table

Click to see full alt table

Status	Error	Program
	48.6b	(*.f64 (/.f64 (sqrt.f64 1/2) 1) (/.f64 F (sin.f64 B)))
✓	55.0b	(/.f64 -1 (sin.f64 B))
	33.7b	(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 F (.f64 (sin.f64 B) (neg.f64 F))))
✓	48.6b	(/.f64 (*.f64 (sqrt.f64 1/2) F) (sin.f64 B))
✓	59.0b	(/.f64 -1 B)
	60.3b	(*.f64 (/.f64 -1 F) (/.f64 F B))
	54.9b	(/.f64 1 (sin.f64 B))
	54.8b	(.f64 (sqrt.f64 1/2) (+.f64 (/.f64 F B) (.f64 F (*.f64 B 1/6))))
▶	57.9b	(/.f64 1 B)
	54.8b	(+.f64 (/.f64 (.f64 (sqrt.f64 1/2) F) B) (.f64 1/6 (.f64 (sqrt.f64 1/2) (.f64 F B))))
	32.9b	(+.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)))))
	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)))))
	59.8b	(-.f64 (+.f64 (.f64 -7/360 (pow.f64 B 3)) (.f64 -1/6 B)) (/.f64 1 B))
	32.6b	(+.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 x (tan.f64 B))) 3)) (/.f64 1 (sin.f64 B)))
	58.8b	(/.f64 -1 (-.f64 (+.f64 1 (sin.f64 B)) 1))
	51.5b	(+.f64 (.f64 -1 (/.f64 x B)) (+.f64 (.f64 (+.f64 1/6 (.f64 1/3 x)) B) (+.f64 (.f64 (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 1/120 F) (.f64 -1/36 F)) F)) (+.f64 (.f64 -1/9 x) (*.f64 2/15 x))) (pow.f64 B 3)) (/.f64 1 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)))))
	33.2b	(-.f64 (/.f64 F (*.f64 (sin.f64 B) F)) (/.f64 x (tan.f64 B)))
	32.9b	(-.f64 (/.f64 -1 (sin.f64 B)) (/.f64 x (/.f64 (sin.f64 B) (cos.f64 B))))
	36.5b	(fma.f64 (/.f64 F (sin.f64 B)) (/.f64 1 F) (*.f64 (/.f64 -1 (pow.f64 (cbrt.f64 (tan.f64 B)) 2)) (/.f64 x (cbrt.f64 (tan.f64 B)))))
	59.2b	(-.f64 (*.f64 -1/6 B) (/.f64 1 B))
	60.1b	(+.f64 (/.f64 (/.f64 1 F) (.f64 F B)) (+.f64 (/.f64 -1 B) (/.f64 -3/2 (.f64 (pow.f64 F 4) B))))
	55.6b	(+.f64 (.f64 1/2 (/.f64 (fma.f64 2 x 2) (.f64 F (*.f64 F B)))) (/.f64 (-.f64 -1 x) 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)))
	52.0b	(/.f64 (/.f64 F B) (sqrt.f64 (fma.f64 F F 2)))
	55.0b	(/.f64 -1 (log1p.f64 (expm1.f64 (sin.f64 B))))
	56.8b	(/.f64 (*.f64 (sqrt.f64 1/2) F) (-.f64 (+.f64 1 (sin.f64 B)) 1))
	50.9b	(+.f64 (.f64 -1 (/.f64 x B)) (+.f64 (.f64 (+.f64 1/6 (*.f64 1/3 x)) B) (/.f64 1 B)))
	45.1b	(/.f64 (fma.f64 F (sqrt.f64 (/.f64 1 (fma.f64 x 2 2))) (neg.f64 x)) B)
	55.0b	(+.f64 (/.f64 (.f64 (sqrt.f64 1/2) F) B) (.f64 -1/8 (/.f64 (pow.f64 F 3) (*.f64 (sqrt.f64 1/2) B))))
	60.5b	(*.f64 (/.f64 1 F) (/.f64 F B))
	50.6b	(/.f64 (-.f64 1 x) B)
	51.3b	(fma.f64 (/.f64 F (sin.f64 B)) (/.f64 1 F) (/.f64 (neg.f64 x) B))
	28.8b	(/.f64 (*.f64 x (neg.f64 (cos.f64 B))) (sin.f64 B))
▶	45.1b	(+.f64 (.f64 -1 (/.f64 x B)) (.f64 (/.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 2 x) 2)))))
	45.1b	(/.f64 (+.f64 (.f64 F (sqrt.f64 (/.f64 1 (+.f64 (.f64 2 x) 2)))) (*.f64 -1 x)) B)
	49.9b	(neg.f64 (/.f64 x B))
	48.8b	(/.f64 (pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 1/2) F)) 3) (sin.f64 B))
	23.3b	(fma.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 1/2) (/.f64 (neg.f64 x) (tan.f64 B)))
	59.9b	(+.f64 (/.f64 (/.f64 1 F) (*.f64 F B)) (/.f64 -1 B))
	54.5b	(*.f64 (/.f64 F B) (sqrt.f64 1/2))
	52.0b	(/.f64 (-.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))))))
	54.5b	(/.f64 (*.f64 (sqrt.f64 1/2) F) B)
	55.0b	(-.f64 (+.f64 1 (/.f64 -1 (sin.f64 B))) 1)
	60.0b	(-.f64 (/.f64 1 (*.f64 (pow.f64 F 2) B)) (/.f64 1 B))
	34.3b	(fma.f64 (/.f64 F B) (/.f64 1 F) (/.f64 (neg.f64 x) (tan.f64 B)))
	32.4b	(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))))
	32.4b	(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 (sin.f64 B)))
	48.6b	(*.f64 (/.f64 (sqrt.f64 1/2) (sin.f64 B)) F)
	29.8b	(+.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)))
	28.9b	(*.f64 x (/.f64 (neg.f64 (cos.f64 B)) (sin.f64 B)))
	53.8b	(+.f64 (/.f64 (-.f64 -1 x) (.f64 F (.f64 F B))) (/.f64 (-.f64 1 x) B))
	58.3b	(+.f64 (/.f64 1 B) (/.f64 -1 (.f64 F (.f64 F B))))
	47.1b	(fma.f64 (*.f64 (/.f64 (sqrt.f64 F) 1) (/.f64 (sqrt.f64 F) (sin.f64 B))) (/.f64 1 F) (/.f64 (neg.f64 x) (tan.f64 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)))))
	55.4b	(+.f64 (/.f64 (.f64 (sqrt.f64 1/2) F) B) (+.f64 (.f64 1/6 (.f64 (sqrt.f64 1/2) (.f64 F B))) (.f64 -1 (.f64 (+.f64 (.f64 -1/36 (.f64 (sqrt.f64 1/2) F)) (.f64 1/120 (.f64 (sqrt.f64 1/2) F))) (pow.f64 B 3)))))
	24.3b	(+.f64 (neg.f64 (.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))) (.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 2 x) 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)))
	48.6b	(.f64 F (.f64 (sqrt.f64 1/2) (/.f64 1 (sin.f64 B))))
	54.9b	(.f64 (fma.f64 -1/8 (/.f64 (.f64 F F) (sqrt.f64 1/2)) (sqrt.f64 1/2)) (/.f64 F B))
▶	53.9b	(/.f64 (+.f64 (+.f64 1 (/.f64 (-.f64 -1 x) (.f64 F F))) (.f64 -1 x)) B)

Compiler

Compiled 2103 to 1567 computations (25.5% saved)

localize68.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 (tan.f64 B) x)
✓	0.3b	(/.f64 1 (/.f64 (tan.f64 B) x))
	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 67 computations (44.2% saved)

series5.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite68.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

737×	`pow1_binary64`
680×	`add-log-exp_binary64`
680×	`log1p-expm1-u_binary64`
680×	`expm1-log1p-u_binary64`
664×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	15
1	147	12
2	1893	12

Stop Event

1×	node limit

Counts

2 → 68

Calls

Call 1

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

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

simplify66.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

672×	`distribute-rgt-neg-in_binary64`
630×	`associate-l_binary64`
515×	`associate-r_binary64`
371×	`distribute-neg-in_binary64`
356×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	52	611
1	142	595
2	431	585
3	1673	583
4	6719	583

Stop Event

1×	node limit

Counts

116 → 86

Calls

Call 1

Inputs
(/.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 (*.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 B x)
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 B 3) x)) (/.f64 B x))
(+.f64 (.f64 1/3 (/.f64 (pow.f64 B 3) x)) (+.f64 (.f64 2/15 (/.f64 (pow.f64 B 5) x)) (/.f64 B x)))
(+.f64 (.f64 1/3 (/.f64 (pow.f64 B 3) x)) (+.f64 (.f64 2/15 (/.f64 (pow.f64 B 5) x)) (+.f64 (/.f64 B x) (*.f64 17/315 (/.f64 (pow.f64 B 7) x)))))
(/.f64 (sin.f64 B) (*.f64 (cos.f64 B) x))
(/.f64 (sin.f64 B) (*.f64 (cos.f64 B) x))
(/.f64 (sin.f64 B) (*.f64 (cos.f64 B) x))
(/.f64 (sin.f64 B) (*.f64 (cos.f64 B) x))
(/.f64 (sin.f64 B) (*.f64 (cos.f64 B) x))
(/.f64 (sin.f64 B) (*.f64 (cos.f64 B) x))
(/.f64 (sin.f64 B) (*.f64 (cos.f64 B) x))
(/.f64 (sin.f64 B) (*.f64 (cos.f64 B) x))
(/.f64 (sin.f64 B) (*.f64 (cos.f64 B) x))
(/.f64 (sin.f64 B) (*.f64 (cos.f64 B) x))
(/.f64 (sin.f64 B) (*.f64 (cos.f64 B) x))
(/.f64 (sin.f64 B) (*.f64 (cos.f64 B) x))
(/.f64 (sin.f64 B) (*.f64 (cos.f64 B) x))
(/.f64 (sin.f64 B) (*.f64 (cos.f64 B) x))
(/.f64 (sin.f64 B) (*.f64 (cos.f64 B) x))
(/.f64 (sin.f64 B) (*.f64 (cos.f64 B) x))
(/.f64 (sin.f64 B) (*.f64 (cos.f64 B) x))
(/.f64 (sin.f64 B) (*.f64 (cos.f64 B) x))
(/.f64 (sin.f64 B) (*.f64 (cos.f64 B) x))
(/.f64 (sin.f64 B) (*.f64 (cos.f64 B) x))

Outputs
(/.f64 x B)
(+.f64 (/.f64 x B) (.f64 -1/3 (.f64 B x)))
(+.f64 (/.f64 x B) (.f64 -1/3 (.f64 x B)))
(fma.f64 -1/3 (*.f64 x B) (/.f64 x B))
(fma.f64 x (*.f64 B -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 x B))))
(-.f64 (fma.f64 -1/3 (.f64 x B) (/.f64 x B)) (.f64 (*.f64 (pow.f64 B 3) x) 1/45))
(fma.f64 (pow.f64 B 3) (.f64 x -1/45) (fma.f64 x (.f64 B -1/3) (/.f64 x B)))
(fma.f64 x (.f64 B -1/3) (fma.f64 (pow.f64 B 3) (.f64 x -1/45) (/.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 -2/45 x (.f64 -1/3 (.f64 x 1/45)))) (pow.f64 B 5)) (fma.f64 -1 (.f64 (.f64 x 1/45) (pow.f64 B 3)) (+.f64 (/.f64 x B) (.f64 -1/3 (*.f64 x B)))))
(-.f64 (-.f64 (fma.f64 -1/3 (.f64 x B) (/.f64 x B)) (.f64 (.f64 (pow.f64 B 3) x) 1/45)) (.f64 (+.f64 (.f64 x -1/135) (.f64 x 1/105)) (pow.f64 B 5)))
(-.f64 (fma.f64 x (.f64 B -1/3) (/.f64 x B)) (fma.f64 (.f64 x 2/945) (pow.f64 B 5) (.f64 x (.f64 (pow.f64 B 3) 1/45))))
(fma.f64 (pow.f64 B 3) (.f64 x -1/45) (fma.f64 (pow.f64 B 5) (.f64 x -2/945) (fma.f64 x (*.f64 B -1/3) (/.f64 x B))))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(*.f64 x (/.f64 (cos.f64 B) (sin.f64 B)))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(*.f64 x (/.f64 (cos.f64 B) (sin.f64 B)))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(*.f64 x (/.f64 (cos.f64 B) (sin.f64 B)))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(*.f64 x (/.f64 (cos.f64 B) (sin.f64 B)))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(*.f64 x (/.f64 (cos.f64 B) (sin.f64 B)))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(*.f64 x (/.f64 (cos.f64 B) (sin.f64 B)))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(*.f64 x (/.f64 (cos.f64 B) (sin.f64 B)))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(*.f64 x (/.f64 (cos.f64 B) (sin.f64 B)))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(*.f64 x (/.f64 (cos.f64 B) (sin.f64 B)))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(*.f64 x (/.f64 (cos.f64 B) (sin.f64 B)))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(*.f64 x (/.f64 (cos.f64 B) (sin.f64 B)))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(*.f64 x (/.f64 (cos.f64 B) (sin.f64 B)))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(*.f64 x (/.f64 (cos.f64 B) (sin.f64 B)))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(*.f64 x (/.f64 (cos.f64 B) (sin.f64 B)))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(*.f64 x (/.f64 (cos.f64 B) (sin.f64 B)))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(*.f64 x (/.f64 (cos.f64 B) (sin.f64 B)))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(*.f64 x (/.f64 (cos.f64 B) (sin.f64 B)))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(*.f64 x (/.f64 (cos.f64 B) (sin.f64 B)))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(*.f64 x (/.f64 (cos.f64 B) (sin.f64 B)))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(*.f64 x (/.f64 (cos.f64 B) (sin.f64 B)))
(/.f64 B x)
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 B 3) x)) (/.f64 B x))
(fma.f64 1/3 (/.f64 (pow.f64 B 3) x) (/.f64 B x))
(+.f64 (.f64 1/3 (/.f64 (pow.f64 B 3) x)) (+.f64 (.f64 2/15 (/.f64 (pow.f64 B 5) x)) (/.f64 B x)))
(fma.f64 1/3 (/.f64 (pow.f64 B 3) x) (fma.f64 2/15 (/.f64 (pow.f64 B 5) x) (/.f64 B x)))
(fma.f64 2/15 (/.f64 (pow.f64 B 5) x) (fma.f64 1/3 (/.f64 (pow.f64 B 3) x) (/.f64 B x)))
(+.f64 (.f64 1/3 (/.f64 (pow.f64 B 3) x)) (+.f64 (.f64 2/15 (/.f64 (pow.f64 B 5) x)) (+.f64 (/.f64 B x) (*.f64 17/315 (/.f64 (pow.f64 B 7) x)))))
(fma.f64 1/3 (/.f64 (pow.f64 B 3) x) (+.f64 (fma.f64 2/15 (/.f64 (pow.f64 B 5) x) (/.f64 B x)) (*.f64 17/315 (/.f64 (pow.f64 B 7) x))))
(fma.f64 1/3 (/.f64 (pow.f64 B 3) x) (fma.f64 2/15 (/.f64 (pow.f64 B 5) x) (fma.f64 17/315 (/.f64 (pow.f64 B 7) x) (/.f64 B x))))
(fma.f64 2/15 (/.f64 (pow.f64 B 5) x) (fma.f64 1/3 (/.f64 (pow.f64 B 3) x) (fma.f64 17/315 (/.f64 (pow.f64 B 7) x) (/.f64 B x))))
(/.f64 (sin.f64 B) (*.f64 (cos.f64 B) x))
(/.f64 (sin.f64 B) (*.f64 x (cos.f64 B)))
(/.f64 (sin.f64 B) (*.f64 (cos.f64 B) x))
(/.f64 (sin.f64 B) (*.f64 x (cos.f64 B)))
(/.f64 (sin.f64 B) (*.f64 (cos.f64 B) x))
(/.f64 (sin.f64 B) (*.f64 x (cos.f64 B)))
(/.f64 (sin.f64 B) (*.f64 (cos.f64 B) x))
(/.f64 (sin.f64 B) (*.f64 x (cos.f64 B)))
(/.f64 (sin.f64 B) (*.f64 (cos.f64 B) x))
(/.f64 (sin.f64 B) (*.f64 x (cos.f64 B)))
(/.f64 (sin.f64 B) (*.f64 (cos.f64 B) x))
(/.f64 (sin.f64 B) (*.f64 x (cos.f64 B)))
(/.f64 (sin.f64 B) (*.f64 (cos.f64 B) x))
(/.f64 (sin.f64 B) (*.f64 x (cos.f64 B)))
(/.f64 (sin.f64 B) (*.f64 (cos.f64 B) x))
(/.f64 (sin.f64 B) (*.f64 x (cos.f64 B)))
(/.f64 (sin.f64 B) (*.f64 (cos.f64 B) x))
(/.f64 (sin.f64 B) (*.f64 x (cos.f64 B)))
(/.f64 (sin.f64 B) (*.f64 (cos.f64 B) x))
(/.f64 (sin.f64 B) (*.f64 x (cos.f64 B)))
(/.f64 (sin.f64 B) (*.f64 (cos.f64 B) x))
(/.f64 (sin.f64 B) (*.f64 x (cos.f64 B)))
(/.f64 (sin.f64 B) (*.f64 (cos.f64 B) x))
(/.f64 (sin.f64 B) (*.f64 x (cos.f64 B)))
(/.f64 (sin.f64 B) (*.f64 (cos.f64 B) x))
(/.f64 (sin.f64 B) (*.f64 x (cos.f64 B)))
(/.f64 (sin.f64 B) (*.f64 (cos.f64 B) x))
(/.f64 (sin.f64 B) (*.f64 x (cos.f64 B)))
(/.f64 (sin.f64 B) (*.f64 (cos.f64 B) x))
(/.f64 (sin.f64 B) (*.f64 x (cos.f64 B)))
(/.f64 (sin.f64 B) (*.f64 (cos.f64 B) x))
(/.f64 (sin.f64 B) (*.f64 x (cos.f64 B)))
(/.f64 (sin.f64 B) (*.f64 (cos.f64 B) x))
(/.f64 (sin.f64 B) (*.f64 x (cos.f64 B)))
(/.f64 (sin.f64 B) (*.f64 (cos.f64 B) x))
(/.f64 (sin.f64 B) (*.f64 x (cos.f64 B)))
(/.f64 (sin.f64 B) (*.f64 (cos.f64 B) x))
(/.f64 (sin.f64 B) (*.f64 x (cos.f64 B)))
(/.f64 (sin.f64 B) (*.f64 (cos.f64 B) x))
(/.f64 (sin.f64 B) (*.f64 x (cos.f64 B)))

localize4.0ms (0%)

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

localize22.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (+.f64 1 (/.f64 (-.f64 -1 x) (.f64 F F))) (.f64 -1 x))
✓	4.0b	(/.f64 (+.f64 (+.f64 1 (/.f64 (-.f64 -1 x) (.f64 F F))) (.f64 -1 x)) B)
✓	4.2b	(/.f64 (-.f64 -1 x) (*.f64 F F))

Compiler

Compiled 61 to 35 computations (42.6% saved)

series15.0ms (0.1%)

Counts

3 → 84

Calls

21 calls:

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

rewrite92.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

671×	`log-prod_binary64`
503×	`fma-def_binary64`
339×	`fma-neg_binary64`
251×	`log-div_binary64`
240×	`expm1-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	49
1	295	41
2	4571	41

Stop Event

1×	node limit

Counts

3 → 210

Calls

Call 1

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

Outputs

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

simplify82.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

878×	`times-frac_binary64`
684×	`fma-def_binary64`
511×	`associate-/r*_binary64`
485×	`fma-neg_binary64`
479×	`associate-/l*_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	43	2031
1	107	1861
2	261	1725
3	741	1485
4	2292	1215

Stop Event

1×	node limit

Counts

294 → 239

Calls

Call 1

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

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

localize28.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 -1 (/.f64 x B)) (.f64 (/.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 2 x) 2)))))
✓	0.1b	(sqrt.f64 (/.f64 1 (+.f64 (*.f64 2 x) 2)))
✓	0.3b	(.f64 (/.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 (.f64 2 x) 2))))

Compiler

Compiled 73 to 48 computations (34.2% saved)

series20.0ms (0.1%)

Counts

3 → 43

Calls

21 calls:

Time	Variable		Point	Expression
7.0ms	x	@	0	(.f64 (/.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 (.f64 2 x) 2))))
1.0ms	F	@	0	(.f64 (/.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 (.f64 2 x) 2))))
1.0ms	x	@	-inf	(.f64 (/.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 (.f64 2 x) 2))))
1.0ms	x	@	inf	(.f64 (/.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 (.f64 2 x) 2))))
1.0ms	F	@	inf	(.f64 (/.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 (.f64 2 x) 2))))

rewrite99.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

811×	`log-prod_binary64`
487×	`fma-def_binary64`
283×	`fma-neg_binary64`
282×	`expm1-udef_binary64`
282×	`log1p-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	49
1	350	39
2	4856	39

Stop Event

1×	node limit

Counts

3 → 158

Calls

Call 1

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

Outputs

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

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

simplify130.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

669×	`associate-/l/_binary64`
460×	`distribute-rgt-in_binary64`
459×	`distribute-lft-in_binary64`
311×	`associate-/l*_binary64`
299×	`times-frac_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	85	1087
1	253	1032
2	841	943
3	3885	829
4	7102	829

Stop Event

1×	node limit

Counts

201 → 188

Calls

Call 1

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

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

localize47.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.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)))))
	0.1b	(/.f64 F (sin.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 105 to 59 computations (43.8% saved)

series6.0ms (0%)

Counts

1 → 30

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(+.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)))))
1.0ms	F	@	-inf	(+.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)))))
1.0ms	F	@	inf	(+.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)))))
1.0ms	B	@	0	(+.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)))))
1.0ms	x	@	-inf	(+.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)))))

rewrite86.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

754×	`fma-def_binary64`
377×	`fma-neg_binary64`
351×	`expm1-udef_binary64`
351×	`log1p-udef_binary64`
217×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	21	30
1	428	24
2	5946	24

Stop Event

1×	node limit

Counts

1 → 81

Calls

Call 1

Inputs
(+.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)))))

Outputs

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

simplify57.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

889×	`fma-def_binary64`
734×	`associate-l_binary64`
680×	`associate-r_binary64`
354×	`distribute-rgt-in_binary64`
351×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	183	1621
1	631	1418
2	1959	1252

Stop Event

1×	node limit

Counts

111 → 124

Calls

Call 1

Inputs
(*.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 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) 2) 3))))) (/.f64 1 B)) x))
(+.f64 (.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) 2)))) (+.f64 (.f64 (-.f64 (.f64 -1 (.f64 (/.f64 F (sin.f64 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 4 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) 2) 3))) (pow.f64 (.f64 -1 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) 2) 3)))) 2)) (pow.f64 x 2))) (sin.f64 B)) (sqrt.f64 (+.f64 (pow.f64 F 2) 2))))))
(+.f64 (.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) 2)))) (+.f64 (.f64 (-.f64 (.f64 -1 (.f64 (/.f64 F (sin.f64 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))) (sin.f64 B)) (sqrt.f64 (+.f64 (pow.f64 F 2) 2)))) (.f64 -1/2 (.f64 (/.f64 (.f64 F (.f64 (+.f64 (.f64 8 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) 2) 4))) (.f64 -1 (/.f64 (-.f64 (.f64 4 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) 2) 3))) (pow.f64 (.f64 -1 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) 2) 3)))) 2)) (+.f64 (pow.f64 F 2) 2)))) (pow.f64 x 3))) (sin.f64 B)) (sqrt.f64 (+.f64 (pow.f64 F 2) 2)))))))
(*.f64 -1 (/.f64 x B))
(*.f64 -1 (/.f64 x B))
(/.f64 (-.f64 (.f64 F (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x)))))) x) B)
(-.f64 (+.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 x B))
(-.f64 (+.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 x B))
(-.f64 (+.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 x B))
(.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x))))))
(+.f64 (.f64 -1 (/.f64 x B)) (.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (*.f64 2 x)))))))
(+.f64 (.f64 -1 (/.f64 x B)) (.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (*.f64 2 x)))))))
(+.f64 (.f64 -1 (/.f64 x B)) (.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (*.f64 2 x)))))))
(.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (.f64 2 x))))))
(+.f64 (.f64 -1 (/.f64 x B)) (.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (*.f64 2 x)))))))
(+.f64 (.f64 -1 (/.f64 x B)) (.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (*.f64 2 x)))))))
(+.f64 (.f64 -1 (/.f64 x B)) (.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (*.f64 2 x)))))))
(*.f64 -1 (/.f64 x B))
(+.f64 (.f64 -1 (/.f64 x 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 (/.f64 x 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 (/.f64 x B)) (+.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 (sin.f64 B)) (/.f64 x B))
(-.f64 (+.f64 (.f64 -1/2 (/.f64 (+.f64 2 (.f64 2 x)) (*.f64 (sin.f64 B) (pow.f64 F 2)))) (/.f64 1 (sin.f64 B))) (/.f64 x B))
(-.f64 (+.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 x B))
(-.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))))) (.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 x B))
(*.f64 -1 (+.f64 (/.f64 x 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 (+.f64 (/.f64 x 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 (.f64 1/2 (/.f64 (+.f64 (.f64 -1 (pow.f64 (+.f64 (.f64 2 x) 2) 2)) (pow.f64 (.f64 -1/2 (+.f64 2 (.f64 2 x))) 2)) (.f64 (sin.f64 B) (pow.f64 F 4)))) (.f64 -1 (+.f64 (/.f64 x 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 (.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 (.f64 1/2 (/.f64 (+.f64 (.f64 -1 (pow.f64 (+.f64 (.f64 2 x) 2) 2)) (pow.f64 (.f64 -1/2 (+.f64 2 (.f64 2 x))) 2)) (.f64 (sin.f64 B) (pow.f64 F 4)))) (.f64 -1 (+.f64 (/.f64 x B) (/.f64 1 (sin.f64 B)))))))

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

eval1.2s (4.5%)

Compiler: Compiled 27818 to 17742 computations (36.2% saved)

prune526.0ms (1.9%)

Pruning

72 alts after pruning (67 fresh and 5 done)

	Pruned	Kept	Total
New	914	23	937
Fresh	11	44	55
Picked	0	1	1
Done	3	4	7
Total	928	72	1000

Error

Counts

1000 → 72

Alt Table

Click to see full alt table

Status	Error	Program
	48.6b	(*.f64 (/.f64 (sqrt.f64 1/2) 1) (/.f64 F (sin.f64 B)))
✓	55.0b	(/.f64 -1 (sin.f64 B))
	33.7b	(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 F (.f64 (sin.f64 B) (neg.f64 F))))
✓	48.6b	(/.f64 (*.f64 (sqrt.f64 1/2) F) (sin.f64 B))
	32.9b	(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (/.f64 -1 (sin.f64 B)))
✓	59.0b	(/.f64 -1 B)
	60.3b	(*.f64 (/.f64 -1 F) (/.f64 F B))
	54.9b	(/.f64 1 (sin.f64 B))
	54.8b	(.f64 (sqrt.f64 1/2) (+.f64 (/.f64 F B) (.f64 F (*.f64 B 1/6))))
	51.3b	(+.f64 (neg.f64 (/.f64 x B)) (*.f64 (/.f64 F (sin.f64 B)) (/.f64 1 F)))
✓	57.9b	(/.f64 1 B)
	54.8b	(+.f64 (/.f64 (.f64 (sqrt.f64 1/2) F) B) (.f64 1/6 (.f64 (sqrt.f64 1/2) (.f64 F B))))
	44.6b	(+.f64 (.f64 -1 (/.f64 x B)) (/.f64 (.f64 (sqrt.f64 1/2) F) B))
	32.9b	(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 -1 (sin.f64 B)))
	45.1b	(-.f64 (/.f64 F (*.f64 (sqrt.f64 (fma.f64 2 x 2)) B)) (/.f64 x B))
	40.5b	(+.f64 (neg.f64 (/.f64 x B)) (.f64 (/.f64 F B) (pow.f64 (+.f64 (+.f64 (.f64 F F) 2) (*.f64 2 x)) (neg.f64 (/.f64 1 2)))))
	46.8b	(+.f64 (/.f64 (.f64 (sqrt.f64 1/2) F) B) (.f64 (-.f64 (.f64 -1/4 (/.f64 F (.f64 (sqrt.f64 1/2) B))) (/.f64 1 B)) x))
	24.3b	(+.f64 (neg.f64 (.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))) (.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 2 x) 2)))))
	40.7b	(+.f64 (neg.f64 (/.f64 x B)) (.f64 (+.f64 (.f64 1/6 (.f64 F B)) (/.f64 F B)) (pow.f64 (+.f64 (+.f64 (.f64 F F) 2) (*.f64 2 x)) (neg.f64 (/.f64 1 2)))))
	59.8b	(-.f64 (+.f64 (.f64 -7/360 (pow.f64 B 3)) (.f64 -1/6 B)) (/.f64 1 B))
	32.6b	(+.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 x (tan.f64 B))) 3)) (/.f64 1 (sin.f64 B)))
	58.8b	(/.f64 -1 (-.f64 (+.f64 1 (sin.f64 B)) 1))
	51.5b	(+.f64 (.f64 -1 (/.f64 x B)) (+.f64 (.f64 (+.f64 1/6 (.f64 1/3 x)) B) (+.f64 (.f64 (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 1/120 F) (.f64 -1/36 F)) F)) (+.f64 (.f64 -1/9 x) (*.f64 2/15 x))) (pow.f64 B 3)) (/.f64 1 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)))))
	33.2b	(-.f64 (/.f64 F (*.f64 (sin.f64 B) F)) (/.f64 x (tan.f64 B)))
	8.4b	(+.f64 (neg.f64 (.f64 (/.f64 1 (tan.f64 B)) (pow.f64 (/.f64 1 x) -1))) (.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (.f64 F F) 2) (.f64 2 x)) (neg.f64 (/.f64 1 2)))))
	62.6b	(/.f64 (/.f64 (-.f64 -1 x) (*.f64 F F)) B)
	48.3b	(+.f64 (.f64 -1 (/.f64 x B)) (.f64 (/.f64 F B) (+.f64 (sqrt.f64 1/2) (*.f64 x (+.f64 (/.f64 -1/4 (sqrt.f64 1/2)) (/.f64 3/16 (/.f64 (sqrt.f64 1/2) x)))))))
	55.6b	(+.f64 (.f64 1/2 (/.f64 (fma.f64 2 x 2) (.f64 F (*.f64 F B)))) (/.f64 (-.f64 -1 x) 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)))
	52.0b	(/.f64 (/.f64 F B) (sqrt.f64 (fma.f64 F F 2)))
	55.0b	(/.f64 -1 (log1p.f64 (expm1.f64 (sin.f64 B))))
	59.2b	(-.f64 (*.f64 -1/6 B) (/.f64 1 B))
	56.8b	(/.f64 (*.f64 (sqrt.f64 1/2) F) (-.f64 (+.f64 1 (sin.f64 B)) 1))
	50.9b	(+.f64 (.f64 -1 (/.f64 x B)) (+.f64 (.f64 (+.f64 1/6 (*.f64 1/3 x)) B) (/.f64 1 B)))
	30.3b	(+.f64 (neg.f64 (/.f64 x 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)))))
	54.0b	(/.f64 (+.f64 (+.f64 1 (.f64 (/.f64 (+.f64 -1 x) F) (/.f64 1 F))) (.f64 -1 x)) B)
	28.8b	(/.f64 (*.f64 x (neg.f64 (cos.f64 B))) (sin.f64 B))
	55.0b	(+.f64 (/.f64 (.f64 (sqrt.f64 1/2) F) B) (.f64 -1/8 (/.f64 (pow.f64 F 3) (*.f64 (sqrt.f64 1/2) B))))
	60.5b	(*.f64 (/.f64 1 F) (/.f64 F B))
	50.6b	(/.f64 (-.f64 1 x) B)
	23.3b	(fma.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 1/2) (/.f64 (neg.f64 x) (tan.f64 B)))
	50.5b	(+.f64 (neg.f64 (/.f64 x B)) (*.f64 (/.f64 F (sin.f64 B)) (/.f64 -1 F)))
	59.9b	(+.f64 (/.f64 (/.f64 1 F) (*.f64 F B)) (/.f64 -1 B))
	54.5b	(*.f64 (/.f64 F B) (sqrt.f64 1/2))
	52.0b	(/.f64 (-.f64 -1 x) B)
	48.8b	(/.f64 (pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 1/2) F)) 3) (sin.f64 B))
	46.8b	(+.f64 (.f64 -1 (/.f64 x B)) (.f64 (/.f64 F B) (+.f64 (sqrt.f64 1/2) (*.f64 -1/4 (/.f64 x (sqrt.f64 1/2))))))
	55.0b	(-.f64 (+.f64 1 (/.f64 -1 (sin.f64 B))) 1)
	60.0b	(-.f64 (/.f64 1 (*.f64 (pow.f64 F 2) B)) (/.f64 1 B))
	54.5b	(/.f64 (*.f64 (sqrt.f64 1/2) F) B)
	34.3b	(fma.f64 (/.f64 F B) (/.f64 1 F) (/.f64 (neg.f64 x) (tan.f64 B)))
	44.5b	(+.f64 (.f64 -1 (/.f64 x B)) (.f64 (/.f64 F B) (sqrt.f64 1/2)))
	58.6b	(/.f64 (fma.f64 (/.f64 (+.f64 -1 x) F) (/.f64 1 F) (+.f64 1 x)) B)
	53.8b	(/.f64 (+.f64 (+.f64 1 (/.f64 (neg.f64 x) (.f64 F F))) (.f64 -1 x)) B)
	48.6b	(.f64 F (.f64 (sqrt.f64 1/2) (/.f64 1 (sin.f64 B))))
	58.0b	(/.f64 (-.f64 (neg.f64 x) (/.f64 x (*.f64 F F))) B)
	49.9b	(/.f64 (neg.f64 x) B)
	54.9b	(.f64 (fma.f64 -1/8 (/.f64 (.f64 F F) (sqrt.f64 1/2)) (sqrt.f64 1/2)) (/.f64 F B))
	45.7b	(+.f64 (neg.f64 (/.f64 x 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)))))
	32.4b	(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 (sin.f64 B)))
	48.6b	(*.f64 (/.f64 (sqrt.f64 1/2) (sin.f64 B)) F)
	29.8b	(+.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)))
	28.9b	(*.f64 x (/.f64 (neg.f64 (cos.f64 B)) (sin.f64 B)))
	53.8b	(+.f64 (/.f64 (-.f64 -1 x) (.f64 F (.f64 F B))) (/.f64 (-.f64 1 x) B))
	58.4b	(/.f64 (+.f64 1 (/.f64 (/.f64 -1 F) F)) B)
	55.4b	(+.f64 (/.f64 (.f64 (sqrt.f64 1/2) F) B) (+.f64 (.f64 1/6 (.f64 (sqrt.f64 1/2) (.f64 F B))) (.f64 -1 (.f64 (+.f64 (.f64 -1/36 (.f64 (sqrt.f64 1/2) F)) (.f64 1/120 (.f64 (sqrt.f64 1/2) F))) (pow.f64 B 3)))))
	51.8b	(+.f64 (-.f64 (/.f64 -1 (sin.f64 B)) (/.f64 x B)) (/.f64 (neg.f64 (-.f64 -1 x)) (.f64 F (.f64 F (sin.f64 B)))))
	52.9b	(/.f64 (+.f64 (+.f64 1 (/.f64 (/.f64 -1 F) F)) (*.f64 -1 x)) B)
	58.3b	(+.f64 (/.f64 1 B) (/.f64 -1 (.f64 F (.f64 F 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)))))
	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)))

Compiler

Compiled 1241 to 925 computations (25.5% saved)

regimes1.5s (5.4%)

Counts

131 → 3

Calls

Call 1

Inputs
(+.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)))
(+.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))))
(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 (/.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)))))
(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (cbrt.f64 (pow.f64 (.f64 (pow.f64 (fma.f64 F F (fma.f64 2 x 2)) -1/2) (/.f64 F (sin.f64 B))) 3)))
(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (sqrt.f64 (.f64 (pow.f64 (/.f64 F (sin.f64 B)) 2) (pow.f64 (fma.f64 F F (fma.f64 2 x 2)) -1))))
(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (pow.f64 (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 (/.f64 F (sin.f64 B)) (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2)))) 3)))
(fma.f64 (/.f64 F (sin.f64 B)) (/.f64 1 F) (*.f64 (/.f64 -1 (pow.f64 (cbrt.f64 (tan.f64 B)) 2)) (/.f64 x (cbrt.f64 (tan.f64 B)))))
(+.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 (/.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)))))
(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 (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 (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 (.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 (/.f64 (sin.f64 B) (.f64 F (pow.f64 (fma.f64 F F (fma.f64 2 x 2)) -1/2)))))
(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 (.f64 F (pow.f64 (fma.f64 F F (fma.f64 2 x 2)) -1/2)) (sin.f64 B)))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 F (/.f64 (sin.f64 B) (pow.f64 (fma.f64 F F (fma.f64 2 x 2)) -1/2))))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 (pow.f64 (fma.f64 F F (fma.f64 2 x 2)) -1/2) (/.f64 (sin.f64 B) F)))
(fma.f64 (*.f64 (/.f64 (sqrt.f64 F) 1) (/.f64 (sqrt.f64 F) (sin.f64 B))) (/.f64 1 F) (/.f64 (neg.f64 x) (tan.f64 B)))
(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 (/.f64 1 (tan.f64 B)) (pow.f64 (/.f64 1 x) -1))) (.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 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 (/.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)))))
(+.f64 (neg.f64 (/.f64 x 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 (.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 (/.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)) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 2 x) 2)))))
(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 (pow.f64 (cbrt.f64 (/.f64 x (tan.f64 B))) 3)) (/.f64 1 (sin.f64 B)))
(+.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 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 (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 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 (/.f64 1 (tan.f64 B)))) (/.f64 F (.f64 (sin.f64 B) (sqrt.f64 (+.f64 (*.f64 2 x) 2)))))
(/.f64 (+.f64 (/.f64 F (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2)))) (*.f64 -1 x)) 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 (/.f64 1 (sin.f64 B)) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))))
(-.f64 (/.f64 -1 (sin.f64 B)) (/.f64 x (/.f64 (sin.f64 B) (cos.f64 B))))
(fma.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 1/2) (/.f64 (neg.f64 x) (tan.f64 B)))
(/.f64 (pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 1/2) F)) 3) (sin.f64 B))
(/.f64 -1 (log1p.f64 (expm1.f64 (sin.f64 B))))
(+.f64 (neg.f64 (/.f64 x B)) (.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (.f64 F F) 2) (*.f64 2 x)) (neg.f64 (/.f64 1 2)))))
(+.f64 (neg.f64 (/.f64 x 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 (/.f64 -1 (sin.f64 B)) (/.f64 x B)) (/.f64 (neg.f64 (-.f64 -1 x)) (.f64 F (.f64 F (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 (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 (sin.f64 B) (neg.f64 F))))
(-.f64 (/.f64 F (*.f64 (sqrt.f64 (fma.f64 2 x 2)) B)) (/.f64 x B))
(.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (.f64 2 x) 2))))
(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (/.f64 -1 (sin.f64 B)))
(fma.f64 (/.f64 F (sin.f64 B)) (/.f64 1 F) (/.f64 (neg.f64 x) B))
(fma.f64 (/.f64 F B) (/.f64 1 F) (/.f64 (neg.f64 x) (tan.f64 B)))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 -1 (sin.f64 B)))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 -1 (sin.f64 B)))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 (sin.f64 B)))
(-.f64 (/.f64 F (*.f64 (sin.f64 B) F)) (/.f64 x (tan.f64 B)))
(*.f64 (sqrt.f64 (/.f64 1 (fma.f64 F F 2))) (/.f64 F B))
(/.f64 (/.f64 F B) (sqrt.f64 (fma.f64 F F 2)))
(*.f64 x (/.f64 (neg.f64 (cos.f64 B)) (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 (/.f64 x B)) (+.f64 (.f64 (+.f64 1/6 (.f64 1/3 x)) B) (+.f64 (.f64 (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 1/120 F) (.f64 -1/36 F)) F)) (+.f64 (.f64 -1/9 x) (*.f64 2/15 x))) (pow.f64 B 3)) (/.f64 1 B))))
(+.f64 (/.f64 (.f64 (sqrt.f64 1/2) F) B) (+.f64 (.f64 1/6 (.f64 (sqrt.f64 1/2) (.f64 F B))) (.f64 -1 (.f64 (+.f64 (.f64 -1/36 (.f64 (sqrt.f64 1/2) F)) (.f64 1/120 (.f64 (sqrt.f64 1/2) F))) (pow.f64 B 3)))))
(+.f64 (neg.f64 (/.f64 x B)) (.f64 (+.f64 (.f64 1/6 (.f64 F B)) (/.f64 F B)) (pow.f64 (+.f64 (+.f64 (.f64 F F) 2) (*.f64 2 x)) (neg.f64 (/.f64 1 2)))))
(+.f64 (neg.f64 (/.f64 x B)) (.f64 (/.f64 F B) (pow.f64 (+.f64 (+.f64 (.f64 F F) 2) (*.f64 2 x)) (neg.f64 (/.f64 1 2)))))
(+.f64 (/.f64 (/.f64 1 F) (.f64 F B)) (+.f64 (/.f64 -1 B) (/.f64 -3/2 (.f64 (pow.f64 F 4) B))))
(/.f64 (+.f64 (-.f64 (.f64 1/2 (/.f64 (+.f64 2 (.f64 2 x)) (pow.f64 F 2))) 1) (*.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 F (sqrt.f64 (/.f64 1 (+.f64 (.f64 2 x) 2)))) (*.f64 -1 x)) B)
(+.f64 (/.f64 (.f64 (sqrt.f64 1/2) F) B) (.f64 -1/8 (/.f64 (pow.f64 F 3) (*.f64 (sqrt.f64 1/2) B))))
(/.f64 (fma.f64 (/.f64 (+.f64 -1 x) F) (/.f64 1 F) (+.f64 1 x)) B)
(+.f64 (neg.f64 (/.f64 x B)) (*.f64 (/.f64 F (sin.f64 B)) (/.f64 1 F)))
(+.f64 (neg.f64 (/.f64 x B)) (*.f64 (/.f64 F (sin.f64 B)) (/.f64 -1 F)))
(-.f64 (+.f64 (.f64 -7/360 (pow.f64 B 3)) (.f64 -1/6 B)) (/.f64 1 B))
(.f64 (fma.f64 -1/8 (/.f64 (.f64 F F) (sqrt.f64 1/2)) (sqrt.f64 1/2)) (/.f64 F B))
(/.f64 (+.f64 (.f64 F (sqrt.f64 (/.f64 1/2 x))) (.f64 -1 x)) B)
(-.f64 (/.f64 1 (*.f64 (pow.f64 F 2) B)) (/.f64 1 B))
(/.f64 (*.f64 (sqrt.f64 1/2) F) (-.f64 (+.f64 1 (sin.f64 B)) 1))
(*.f64 (/.f64 (sqrt.f64 1/2) 1) (/.f64 F (sin.f64 B)))
(.f64 F (.f64 (sqrt.f64 1/2) (/.f64 1 (sin.f64 B))))
(/.f64 -1 (-.f64 (+.f64 1 (sin.f64 B)) 1))
(-.f64 (+.f64 1 (/.f64 -1 (sin.f64 B))) 1)
(*.f64 (/.f64 (sqrt.f64 1/2) (sin.f64 B)) F)
(/.f64 (*.f64 (sqrt.f64 1/2) F) (sin.f64 B))
(*.f64 (/.f64 (sqrt.f64 1/2) (sin.f64 B)) F)
(/.f64 1 (sin.f64 B))
(/.f64 -1 (sin.f64 B))
(/.f64 1 (sin.f64 B))
(+.f64 (.f64 -1 (/.f64 x B)) (.f64 (/.f64 F B) (+.f64 (sqrt.f64 1/2) (*.f64 x (+.f64 (/.f64 -1/4 (sqrt.f64 1/2)) (/.f64 3/16 (/.f64 (sqrt.f64 1/2) x)))))))
(+.f64 (/.f64 (.f64 (sqrt.f64 1/2) F) B) (.f64 (-.f64 (.f64 -1/4 (/.f64 F (.f64 (sqrt.f64 1/2) B))) (/.f64 1 B)) x))
(/.f64 (+.f64 (+.f64 1 (.f64 (/.f64 (+.f64 -1 x) F) (/.f64 1 F))) (.f64 -1 x)) B)
(+.f64 (.f64 -1 (/.f64 x B)) (.f64 (/.f64 F B) (+.f64 (sqrt.f64 1/2) (*.f64 -1/4 (/.f64 x (sqrt.f64 1/2))))))
(+.f64 (.f64 -1 (/.f64 x B)) (+.f64 (.f64 (+.f64 1/6 (*.f64 1/3 x)) B) (/.f64 1 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 (+.f64 (+.f64 1 (/.f64 (neg.f64 x) (.f64 F F))) (.f64 -1 x)) B)
(/.f64 (+.f64 (+.f64 1 (/.f64 (/.f64 -1 F) F)) (*.f64 -1 x)) B)
(+.f64 (/.f64 (.f64 (sqrt.f64 1/2) F) B) (.f64 1/6 (.f64 (sqrt.f64 1/2) (.f64 F B))))
(+.f64 (.f64 -1 (/.f64 x B)) (/.f64 (.f64 (sqrt.f64 1/2) F) B))
(+.f64 (.f64 -1 (/.f64 x B)) (.f64 (/.f64 F B) (sqrt.f64 1/2)))
(.f64 (sqrt.f64 1/2) (+.f64 (/.f64 F B) (.f64 F (*.f64 B 1/6))))
(+.f64 (/.f64 (/.f64 1 F) (*.f64 F B)) (/.f64 -1 B))
(+.f64 (/.f64 1 B) (/.f64 -1 (.f64 F (.f64 F B))))
(/.f64 (+.f64 (.f64 F (/.f64 -1 F)) (.f64 -1 x)) B)
(/.f64 (+.f64 (.f64 F (/.f64 1 F)) (.f64 -1 x)) B)
(/.f64 (-.f64 (neg.f64 x) (/.f64 x (*.f64 F F))) B)
(/.f64 (/.f64 (-.f64 -1 x) (*.f64 F F)) B)
(/.f64 (+.f64 1 (/.f64 (/.f64 -1 F) F)) B)
(*.f64 (/.f64 -1 F) (/.f64 F B))
(*.f64 (/.f64 1 F) (/.f64 F B))
(-.f64 (*.f64 -1/6 B) (/.f64 1 B))
(/.f64 (-.f64 1 x) B)
(*.f64 (/.f64 F B) (sqrt.f64 1/2))
(/.f64 (*.f64 (sqrt.f64 1/2) F) B)
(/.f64 (-.f64 1 x) B)
(/.f64 (-.f64 -1 x) B)
(/.f64 (neg.f64 x) B)
(neg.f64 (/.f64 x B))
(/.f64 1 B)
(/.f64 -1 B)

Outputs

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

Calls

4 calls:

501.0ms	(+.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)))))
324.0ms	x
278.0ms	B
202.0ms	F

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 2238 to 1281 computations (42.8% saved)

bsearch618.0ms (2.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
512.0ms	4.477687327853291e-6	0.02491819704162138
105.0ms	-3.8960439192206498e+93	-4.7933562358701576e+91

Compiler

Compiled 396 to 292 computations (26.3% saved)

regimes1.4s (5.2%)

Counts

66 → 8

Calls

Call 1

Inputs
(-.f64 (/.f64 F (*.f64 (sin.f64 B) F)) (/.f64 x (tan.f64 B)))
(*.f64 (sqrt.f64 (/.f64 1 (fma.f64 F F 2))) (/.f64 F B))
(/.f64 (/.f64 F B) (sqrt.f64 (fma.f64 F F 2)))
(*.f64 x (/.f64 (neg.f64 (cos.f64 B)) (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 (/.f64 x B)) (+.f64 (.f64 (+.f64 1/6 (.f64 1/3 x)) B) (+.f64 (.f64 (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 1/120 F) (.f64 -1/36 F)) F)) (+.f64 (.f64 -1/9 x) (*.f64 2/15 x))) (pow.f64 B 3)) (/.f64 1 B))))
(+.f64 (/.f64 (.f64 (sqrt.f64 1/2) F) B) (+.f64 (.f64 1/6 (.f64 (sqrt.f64 1/2) (.f64 F B))) (.f64 -1 (.f64 (+.f64 (.f64 -1/36 (.f64 (sqrt.f64 1/2) F)) (.f64 1/120 (.f64 (sqrt.f64 1/2) F))) (pow.f64 B 3)))))
(+.f64 (neg.f64 (/.f64 x B)) (.f64 (+.f64 (.f64 1/6 (.f64 F B)) (/.f64 F B)) (pow.f64 (+.f64 (+.f64 (.f64 F F) 2) (*.f64 2 x)) (neg.f64 (/.f64 1 2)))))
(+.f64 (neg.f64 (/.f64 x B)) (.f64 (/.f64 F B) (pow.f64 (+.f64 (+.f64 (.f64 F F) 2) (*.f64 2 x)) (neg.f64 (/.f64 1 2)))))
(+.f64 (/.f64 (/.f64 1 F) (.f64 F B)) (+.f64 (/.f64 -1 B) (/.f64 -3/2 (.f64 (pow.f64 F 4) B))))
(/.f64 (+.f64 (-.f64 (.f64 1/2 (/.f64 (+.f64 2 (.f64 2 x)) (pow.f64 F 2))) 1) (*.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 F (sqrt.f64 (/.f64 1 (+.f64 (.f64 2 x) 2)))) (*.f64 -1 x)) B)
(+.f64 (/.f64 (.f64 (sqrt.f64 1/2) F) B) (.f64 -1/8 (/.f64 (pow.f64 F 3) (*.f64 (sqrt.f64 1/2) B))))
(/.f64 (fma.f64 (/.f64 (+.f64 -1 x) F) (/.f64 1 F) (+.f64 1 x)) B)
(+.f64 (neg.f64 (/.f64 x B)) (*.f64 (/.f64 F (sin.f64 B)) (/.f64 1 F)))
(+.f64 (neg.f64 (/.f64 x B)) (*.f64 (/.f64 F (sin.f64 B)) (/.f64 -1 F)))
(-.f64 (+.f64 (.f64 -7/360 (pow.f64 B 3)) (.f64 -1/6 B)) (/.f64 1 B))
(.f64 (fma.f64 -1/8 (/.f64 (.f64 F F) (sqrt.f64 1/2)) (sqrt.f64 1/2)) (/.f64 F B))
(/.f64 (+.f64 (.f64 F (sqrt.f64 (/.f64 1/2 x))) (.f64 -1 x)) B)
(-.f64 (/.f64 1 (*.f64 (pow.f64 F 2) B)) (/.f64 1 B))
(/.f64 (*.f64 (sqrt.f64 1/2) F) (-.f64 (+.f64 1 (sin.f64 B)) 1))
(*.f64 (/.f64 (sqrt.f64 1/2) 1) (/.f64 F (sin.f64 B)))
(.f64 F (.f64 (sqrt.f64 1/2) (/.f64 1 (sin.f64 B))))
(/.f64 -1 (-.f64 (+.f64 1 (sin.f64 B)) 1))
(-.f64 (+.f64 1 (/.f64 -1 (sin.f64 B))) 1)
(*.f64 (/.f64 (sqrt.f64 1/2) (sin.f64 B)) F)
(/.f64 (*.f64 (sqrt.f64 1/2) F) (sin.f64 B))
(*.f64 (/.f64 (sqrt.f64 1/2) (sin.f64 B)) F)
(/.f64 1 (sin.f64 B))
(/.f64 -1 (sin.f64 B))
(/.f64 1 (sin.f64 B))
(+.f64 (.f64 -1 (/.f64 x B)) (.f64 (/.f64 F B) (+.f64 (sqrt.f64 1/2) (*.f64 x (+.f64 (/.f64 -1/4 (sqrt.f64 1/2)) (/.f64 3/16 (/.f64 (sqrt.f64 1/2) x)))))))
(+.f64 (/.f64 (.f64 (sqrt.f64 1/2) F) B) (.f64 (-.f64 (.f64 -1/4 (/.f64 F (.f64 (sqrt.f64 1/2) B))) (/.f64 1 B)) x))
(/.f64 (+.f64 (+.f64 1 (.f64 (/.f64 (+.f64 -1 x) F) (/.f64 1 F))) (.f64 -1 x)) B)
(+.f64 (.f64 -1 (/.f64 x B)) (.f64 (/.f64 F B) (+.f64 (sqrt.f64 1/2) (*.f64 -1/4 (/.f64 x (sqrt.f64 1/2))))))
(+.f64 (.f64 -1 (/.f64 x B)) (+.f64 (.f64 (+.f64 1/6 (*.f64 1/3 x)) B) (/.f64 1 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 (+.f64 (+.f64 1 (/.f64 (neg.f64 x) (.f64 F F))) (.f64 -1 x)) B)
(/.f64 (+.f64 (+.f64 1 (/.f64 (/.f64 -1 F) F)) (*.f64 -1 x)) B)
(+.f64 (/.f64 (.f64 (sqrt.f64 1/2) F) B) (.f64 1/6 (.f64 (sqrt.f64 1/2) (.f64 F B))))
(+.f64 (.f64 -1 (/.f64 x B)) (/.f64 (.f64 (sqrt.f64 1/2) F) B))
(+.f64 (.f64 -1 (/.f64 x B)) (.f64 (/.f64 F B) (sqrt.f64 1/2)))
(.f64 (sqrt.f64 1/2) (+.f64 (/.f64 F B) (.f64 F (*.f64 B 1/6))))
(+.f64 (/.f64 (/.f64 1 F) (*.f64 F B)) (/.f64 -1 B))
(+.f64 (/.f64 1 B) (/.f64 -1 (.f64 F (.f64 F B))))
(/.f64 (+.f64 (.f64 F (/.f64 -1 F)) (.f64 -1 x)) B)
(/.f64 (+.f64 (.f64 F (/.f64 1 F)) (.f64 -1 x)) B)
(/.f64 (-.f64 (neg.f64 x) (/.f64 x (*.f64 F F))) B)
(/.f64 (/.f64 (-.f64 -1 x) (*.f64 F F)) B)
(/.f64 (+.f64 1 (/.f64 (/.f64 -1 F) F)) B)
(*.f64 (/.f64 -1 F) (/.f64 F B))
(*.f64 (/.f64 1 F) (/.f64 F B))
(-.f64 (*.f64 -1/6 B) (/.f64 1 B))
(/.f64 (-.f64 1 x) B)
(*.f64 (/.f64 F B) (sqrt.f64 1/2))
(/.f64 (*.f64 (sqrt.f64 1/2) F) B)
(/.f64 (-.f64 1 x) B)
(/.f64 (-.f64 -1 x) B)
(/.f64 (neg.f64 x) B)
(neg.f64 (/.f64 x B))
(/.f64 1 B)
(/.f64 -1 B)

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

Calls

3 calls:

601.0ms	F
415.0ms	x
369.0ms	B

Results

Error	Segments	Branch
14.2b	8	`F`
19.5b	3	`B`
19.1b	5	`x`

Compiler

Compiled 815 to 498 computations (38.9% saved)

bsearch4.4s (16.1%)

Algorithm

7×	binary-search

Steps

Time	Left	Right
585.0ms	4.477687327853291e-6	0.02491819704162138
504.0ms	1.6564262851145523e-41	2.271425846597241e-40
487.0ms	1.1968369210823236e-65	1.3672903509916403e-64
430.0ms	4.937581980491477e-104	1.04304107839529e-103
960.0ms	-4.540815991635671e-52	-9.012956421608604e-60
1.2s	-327.3351799756031	-6.251936184623715e-8
190.0ms	-2.183873764774081e+166	-7.080866794937536e+164

Compiler

Compiled 1368 to 1034 computations (24.4% saved)

regimes234.0ms (0.9%)

Counts

35 → 3

Calls

Call 1

Inputs
(/.f64 1 (sin.f64 B))
(/.f64 -1 (sin.f64 B))
(/.f64 1 (sin.f64 B))
(+.f64 (.f64 -1 (/.f64 x B)) (.f64 (/.f64 F B) (+.f64 (sqrt.f64 1/2) (*.f64 x (+.f64 (/.f64 -1/4 (sqrt.f64 1/2)) (/.f64 3/16 (/.f64 (sqrt.f64 1/2) x)))))))
(+.f64 (/.f64 (.f64 (sqrt.f64 1/2) F) B) (.f64 (-.f64 (.f64 -1/4 (/.f64 F (.f64 (sqrt.f64 1/2) B))) (/.f64 1 B)) x))
(/.f64 (+.f64 (+.f64 1 (.f64 (/.f64 (+.f64 -1 x) F) (/.f64 1 F))) (.f64 -1 x)) B)
(+.f64 (.f64 -1 (/.f64 x B)) (.f64 (/.f64 F B) (+.f64 (sqrt.f64 1/2) (*.f64 -1/4 (/.f64 x (sqrt.f64 1/2))))))
(+.f64 (.f64 -1 (/.f64 x B)) (+.f64 (.f64 (+.f64 1/6 (*.f64 1/3 x)) B) (/.f64 1 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 (+.f64 (+.f64 1 (/.f64 (neg.f64 x) (.f64 F F))) (.f64 -1 x)) B)
(/.f64 (+.f64 (+.f64 1 (/.f64 (/.f64 -1 F) F)) (*.f64 -1 x)) B)
(+.f64 (/.f64 (.f64 (sqrt.f64 1/2) F) B) (.f64 1/6 (.f64 (sqrt.f64 1/2) (.f64 F B))))
(+.f64 (.f64 -1 (/.f64 x B)) (/.f64 (.f64 (sqrt.f64 1/2) F) B))
(+.f64 (.f64 -1 (/.f64 x B)) (.f64 (/.f64 F B) (sqrt.f64 1/2)))
(.f64 (sqrt.f64 1/2) (+.f64 (/.f64 F B) (.f64 F (*.f64 B 1/6))))
(+.f64 (/.f64 (/.f64 1 F) (*.f64 F B)) (/.f64 -1 B))
(+.f64 (/.f64 1 B) (/.f64 -1 (.f64 F (.f64 F B))))
(/.f64 (+.f64 (.f64 F (/.f64 -1 F)) (.f64 -1 x)) B)
(/.f64 (+.f64 (.f64 F (/.f64 1 F)) (.f64 -1 x)) B)
(/.f64 (-.f64 (neg.f64 x) (/.f64 x (*.f64 F F))) B)
(/.f64 (/.f64 (-.f64 -1 x) (*.f64 F F)) B)
(/.f64 (+.f64 1 (/.f64 (/.f64 -1 F) F)) B)
(*.f64 (/.f64 -1 F) (/.f64 F B))
(*.f64 (/.f64 1 F) (/.f64 F B))
(-.f64 (*.f64 -1/6 B) (/.f64 1 B))
(/.f64 (-.f64 1 x) B)
(*.f64 (/.f64 F B) (sqrt.f64 1/2))
(/.f64 (*.f64 (sqrt.f64 1/2) F) B)
(/.f64 (-.f64 1 x) B)
(/.f64 (-.f64 -1 x) B)
(/.f64 (neg.f64 x) B)
(neg.f64 (/.f64 x B))
(/.f64 1 B)
(/.f64 -1 B)

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

Calls

3 calls:

107.0ms	x
60.0ms	F
56.0ms	B

Results

Error	Segments	Branch
32.4b	3	`F`
39.5b	3	`B`
40.0b	5	`x`

Compiler

Compiled 369 to 226 computations (38.8% saved)

bsearch619.0ms (2.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
96.0ms	8.085133053421346e+36	6.096555556210134e+48
522.0ms	-6.251936184623715e-8	-1.44086625055334e-9

Compiler

Compiled 204 to 161 computations (21.1% saved)

regimes88.0ms (0.3%)

Counts

15 → 5

Calls

Call 1

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

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

Calls

3 calls:

39.0ms	F
33.0ms	x
10.0ms	B

Results

Error	Segments	Branch
39.3b	5	`F`
49.9b	1	`B`
42.8b	4	`x`

Compiler

Compiled 105 to 62 computations (41% saved)

bsearch2.5s (9%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
662.0ms	1.9812014960770963e-16	1.6104405426378947e-7
621.0ms	1.1178837536761448e-187	1.4180077108356117e-183
733.0ms	-4.054040260736018e-150	-3.577646187656665e-154
439.0ms	-6.251936184623715e-8	-1.44086625055334e-9

Compiler

Compiled 628 to 492 computations (21.7% saved)

regimes15.0ms (0.1%)

Accuracy

Total -8.3b remaining (-15.1%)

Threshold costs -8.3b (-15.1%)

Counts

2 → 2

Calls

Call 1

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

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

Calls

3 calls:

6.0ms	F
4.0ms	B
3.0ms	x

Results

Error	Segments	Branch
54.7b	2	`F`
57.9b	1	`B`
57.9b	1	`x`

Compiler

Compiled 21 to 16 computations (23.8% saved)

bsearch592.0ms (2.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
592.0ms	1.1178837536761448e-187	1.4180077108356117e-183

Compiler

Compiled 148 to 124 computations (16.2% saved)

simplify33.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

27×	`*-commutative_binary64`
23×	`+-commutative_binary64`
16×	`sub-neg_binary64`
13×	`neg-sub0_binary64`
13×	`neg-mul-1_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	114	371
1	164	361
2	209	361
3	234	361
4	244	361
5	247	361

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 F -3896043919220649763193561431724021947521305746310307775572806920848175890658663524000969261056) (+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 -1 (sin.f64 B))) (if (<=.f64 F 5312662293228351/1180591620717411303424) (+.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 (/.f64 1 (sin.f64 B)) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))))))
(if (<=.f64 F -21838737647740809722747033342561153777825788688758511878616784665672959191010729982589725933919425408934298004885878348132744716862589495392024620454502268799520079872) (.f64 x (/.f64 (neg.f64 (cos.f64 B)) (sin.f64 B))) (if (<=.f64 F -4835703278458517/75557863725914323419136) (+.f64 (neg.f64 (/.f64 x B)) (.f64 (/.f64 F (sin.f64 B)) (/.f64 -1 F))) (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) 1) (/.f64 F (sin.f64 B))) (if (<=.f64 F 1380962381785069824/6277101735386680763835789423207666416102355444464034512896) (.f64 x (/.f64 (neg.f64 (cos.f64 B)) (sin.f64 B))) (if (<=.f64 F 5312662293228351/1180591620717411303424) (+.f64 (neg.f64 (/.f64 x B)) (.f64 (/.f64 F B) (pow.f64 (+.f64 (+.f64 (.f64 F F) 2) (.f64 2 x)) (neg.f64 (/.f64 1 2))))) (-.f64 (/.f64 F (.f64 (sin.f64 B) F)) (/.f64 x (tan.f64 B))))))))))
(if (<=.f64 F -4533471823554859/75557863725914323419136) (/.f64 -1 (sin.f64 B)) (if (<=.f64 F 8085133053421345749733215699187269632) (+.f64 (.f64 -1 (/.f64 x B)) (.f64 (/.f64 F B) (sqrt.f64 1/2))) (/.f64 1 (sin.f64 B))))
(if (<=.f64 F -7011769753764849/4835703278458516698824704) (/.f64 (-.f64 -1 x) B) (if (<=.f64 F -7371020360979573/1842755090244893238399196572748178169393027939656465052918069482541808673043041431682679065028153695088607604995490158642466105776330465152617887818082371115063181312) (.f64 (/.f64 F B) (sqrt.f64 1/2)) (if (<=.f64 F 6697692026289335/4784065733063810973581885157618788676291241975216665977767007373648750357731006099232824032039924032894289638403441329240212719241920971274455782595989040464660523567661989180298099889009174801022976) (/.f64 (neg.f64 x) B) (if (<=.f64 F 2028240960365167/10141204801825835211973625643008) (/.f64 (.f64 (sqrt.f64 1/2) F) B) (/.f64 (-.f64 1 x) B)))))
(if (<=.f64 F 4389399446348979/39191066485258739495582803211213116836177854260974927689867324404930562930532401964915294470471057677470020717800991369135822596029816596680341771026342219486499009066287015365002034290763159969980219392) (/.f64 -1 B) (/.f64 1 B))

Outputs
(if (<=.f64 F -3896043919220649763193561431724021947521305746310307775572806920848175890658663524000969261056) (+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 -1 (sin.f64 B))) (if (<=.f64 F 5312662293228351/1180591620717411303424) (+.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 (/.f64 1 (sin.f64 B)) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))))))
(if (<=.f64 F -3896043919220649763193561431724021947521305746310307775572806920848175890658663524000969261056) (+.f64 (.f64 x (neg.f64 (/.f64 1 (tan.f64 B)))) (/.f64 -1 (sin.f64 B))) (if (<=.f64 F 5312662293228351/1180591620717411303424) (+.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 1 (sin.f64 B)) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))))))
(if (<=.f64 F -3896043919220649763193561431724021947521305746310307775572806920848175890658663524000969261056) (+.f64 (.f64 x (/.f64 -1 (tan.f64 B))) (/.f64 -1 (sin.f64 B))) (if (<=.f64 F 5312662293228351/1180591620717411303424) (-.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 1 (sin.f64 B)) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))))))
(if (<=.f64 F -21838737647740809722747033342561153777825788688758511878616784665672959191010729982589725933919425408934298004885878348132744716862589495392024620454502268799520079872) (.f64 x (/.f64 (neg.f64 (cos.f64 B)) (sin.f64 B))) (if (<=.f64 F -4835703278458517/75557863725914323419136) (+.f64 (neg.f64 (/.f64 x B)) (.f64 (/.f64 F (sin.f64 B)) (/.f64 -1 F))) (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) 1) (/.f64 F (sin.f64 B))) (if (<=.f64 F 1380962381785069824/6277101735386680763835789423207666416102355444464034512896) (.f64 x (/.f64 (neg.f64 (cos.f64 B)) (sin.f64 B))) (if (<=.f64 F 5312662293228351/1180591620717411303424) (+.f64 (neg.f64 (/.f64 x B)) (.f64 (/.f64 F B) (pow.f64 (+.f64 (+.f64 (.f64 F F) 2) (.f64 2 x)) (neg.f64 (/.f64 1 2))))) (-.f64 (/.f64 F (.f64 (sin.f64 B) F)) (/.f64 x (tan.f64 B))))))))))
(if (<=.f64 F -21838737647740809722747033342561153777825788688758511878616784665672959191010729982589725933919425408934298004885878348132744716862589495392024620454502268799520079872) (.f64 x (/.f64 (neg.f64 (cos.f64 B)) (sin.f64 B))) (if (<=.f64 F -4835703278458517/75557863725914323419136) (+.f64 (/.f64 (neg.f64 x) B) (.f64 (/.f64 F (sin.f64 B)) (/.f64 -1 F))) (if (<=.f64 F -3032994000054447/6739986666787659948666753771754907668409286105635143120275902562304) (.f64 F (/.f64 (sqrt.f64 1/2) (sin.f64 B))) (if (<=.f64 F 8392312103782453/80695308690215893426747474125094121072803306025913234775958104891895238188026287332176417290004307232371974124148359168) (/.f64 (.f64 x (neg.f64 (cos.f64 B))) (sin.f64 B)) (if (<=.f64 F 2845706385096283/237142198758023568227473377297792835283496928595231875152809132048206089502588928) (.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 1/2)) (if (<=.f64 F 5394384303847929/24519928653854221733733552434404946937899825954937634816) (.f64 x (/.f64 (neg.f64 (cos.f64 B)) (sin.f64 B))) (if (<=.f64 F 5312662293228351/1180591620717411303424) (+.f64 (/.f64 (neg.f64 x) B) (.f64 (pow.f64 (+.f64 (+.f64 (.f64 F F) 2) (.f64 x 2)) -1/2) (/.f64 F B))) (-.f64 (/.f64 F (.f64 F (sin.f64 B))) (/.f64 x (tan.f64 B))))))))))
(if (<=.f64 F -21838737647740809722747033342561153777825788688758511878616784665672959191010729982589725933919425408934298004885878348132744716862589495392024620454502268799520079872) (neg.f64 (.f64 x (/.f64 (cos.f64 B) (sin.f64 B)))) (if (<=.f64 F -4835703278458517/75557863725914323419136) (-.f64 (.f64 (/.f64 F (sin.f64 B)) (/.f64 -1 F)) (/.f64 x B)) (if (<=.f64 F -3032994000054447/6739986666787659948666753771754907668409286105635143120275902562304) (.f64 F (/.f64 (sqrt.f64 1/2) (sin.f64 B))) (if (<=.f64 F 8392312103782453/80695308690215893426747474125094121072803306025913234775958104891895238188026287332176417290004307232371974124148359168) (/.f64 (.f64 (neg.f64 x) (cos.f64 B)) (sin.f64 B)) (if (<=.f64 F 2845706385096283/237142198758023568227473377297792835283496928595231875152809132048206089502588928) (.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 1/2)) (if (<=.f64 F 5394384303847929/24519928653854221733733552434404946937899825954937634816) (neg.f64 (.f64 x (/.f64 (cos.f64 B) (sin.f64 B)))) (if (<=.f64 F 5312662293228351/1180591620717411303424) (-.f64 (.f64 (pow.f64 (+.f64 (+.f64 (.f64 F F) 2) (.f64 x 2)) -1/2) (/.f64 F B)) (/.f64 x B)) (-.f64 (/.f64 F (.f64 F (sin.f64 B))) (/.f64 x (tan.f64 B))))))))))
(if (<=.f64 F -21838737647740809722747033342561153777825788688758511878616784665672959191010729982589725933919425408934298004885878348132744716862589495392024620454502268799520079872) (.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B))) (if (<=.f64 F -4835703278458517/75557863725914323419136) (-.f64 (.f64 (/.f64 F (sin.f64 B)) (/.f64 -1 F)) (/.f64 x B)) (if (<=.f64 F -3032994000054447/6739986666787659948666753771754907668409286105635143120275902562304) (.f64 F (/.f64 (sqrt.f64 1/2) (sin.f64 B))) (if (<=.f64 F 8392312103782453/80695308690215893426747474125094121072803306025913234775958104891895238188026287332176417290004307232371974124148359168) (/.f64 (.f64 (cos.f64 B) (neg.f64 x)) (sin.f64 B)) (if (<=.f64 F 2845706385096283/237142198758023568227473377297792835283496928595231875152809132048206089502588928) (.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 1/2)) (if (<=.f64 F 5394384303847929/24519928653854221733733552434404946937899825954937634816) (.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B))) (if (<=.f64 F 5312662293228351/1180591620717411303424) (-.f64 (.f64 (pow.f64 (+.f64 (+.f64 (.f64 F F) 2) (.f64 x 2)) -1/2) (/.f64 F B)) (/.f64 x B)) (-.f64 (/.f64 F (.f64 F (sin.f64 B))) (/.f64 x (tan.f64 B))))))))))
(if (<=.f64 F -4533471823554859/75557863725914323419136) (/.f64 -1 (sin.f64 B)) (if (<=.f64 F 8085133053421345749733215699187269632) (+.f64 (.f64 -1 (/.f64 x B)) (.f64 (/.f64 F B) (sqrt.f64 1/2))) (/.f64 1 (sin.f64 B))))
(if (<=.f64 F -4533471823554859/75557863725914323419136) (/.f64 -1 (sin.f64 B)) (if (<=.f64 F 8085133053421345749733215699187269632) (+.f64 (/.f64 (neg.f64 x) B) (*.f64 (sqrt.f64 1/2) (/.f64 F B))) (/.f64 1 (sin.f64 B))))
(if (<=.f64 F -4533471823554859/75557863725914323419136) (/.f64 -1 (sin.f64 B)) (if (<=.f64 F 8085133053421345749733215699187269632) (-.f64 (*.f64 (sqrt.f64 1/2) (/.f64 F B)) (/.f64 x B)) (/.f64 1 (sin.f64 B))))
(if (<=.f64 F -7011769753764849/4835703278458516698824704) (/.f64 (-.f64 -1 x) B) (if (<=.f64 F -7371020360979573/1842755090244893238399196572748178169393027939656465052918069482541808673043041431682679065028153695088607604995490158642466105776330465152617887818082371115063181312) (.f64 (/.f64 F B) (sqrt.f64 1/2)) (if (<=.f64 F 6697692026289335/4784065733063810973581885157618788676291241975216665977767007373648750357731006099232824032039924032894289638403441329240212719241920971274455782595989040464660523567661989180298099889009174801022976) (/.f64 (neg.f64 x) B) (if (<=.f64 F 2028240960365167/10141204801825835211973625643008) (/.f64 (.f64 (sqrt.f64 1/2) F) B) (/.f64 (-.f64 1 x) B)))))
(if (<=.f64 F -7011769753764849/4835703278458516698824704) (/.f64 (-.f64 -1 x) B) (if (<=.f64 F -7371020360979573/1842755090244893238399196572748178169393027939656465052918069482541808673043041431682679065028153695088607604995490158642466105776330465152617887818082371115063181312) (.f64 (sqrt.f64 1/2) (/.f64 F B)) (if (<=.f64 F 6697692026289335/4784065733063810973581885157618788676291241975216665977767007373648750357731006099232824032039924032894289638403441329240212719241920971274455782595989040464660523567661989180298099889009174801022976) (/.f64 (neg.f64 x) B) (if (<=.f64 F 2028240960365167/10141204801825835211973625643008) (/.f64 (.f64 F (sqrt.f64 1/2)) B) (/.f64 (-.f64 1 x) B)))))
(if (<=.f64 F 4389399446348979/39191066485258739495582803211213116836177854260974927689867324404930562930532401964915294470471057677470020717800991369135822596029816596680341771026342219486499009066287015365002034290763159969980219392) (/.f64 -1 B) (/.f64 1 B))

Compiler

Compiled 253 to 156 computations (38.3% saved)

soundness272.0ms (1%)

Algorithm

2×	egg-herbie

Rules

673×	`fma-neg_binary64`
639×	`distribute-rgt-neg-in_binary64`
586×	`div-sub_binary64`
500×	`sub-neg_binary64`
474×	`fma-neg_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	23	35
1	49	28
2	107	28
3	218	28
4	503	28
5	1505	28
6	3924	28
7	6363	28
8	7670	28
0	69	791
1	191	715
2	559	696
3	2302	674
4	5912	672

Stop Event

1×	node limit
1×	node limit

Compiler

Compiled 409 to 295 computations (27.9% saved)

end100.0ms (0.4%)

Compiler: Compiled 241 to 133 computations (44.8% saved)