Details

analyze1.0s (3.2%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
50%	50%	0.1%	4
74.9%	25%	0.1%	5
74.9%	25%	0.1%	6
74.9%	25%	0.1%	7
74.9%	25%	0.1%	8
74.9%	25%	0.1%	9
74.9%	25%	0.1%	10
74.9%	25%	0.1%	11
74.9%	25%	0.1%	12

Compiler

Compiled 53 to 41 computations (22.6% saved)

sample8.9s (27.1%)

Results

5.1s	3580×	body	1024	valid
2.4s	1432×	body	512	valid
1.2s	3224×	body	256	valid
121.0ms	20×	body	2048	valid

preprocess58.0ms (0.2%)

Algorithm

2×	egg-herbie

Rules

736×	`distribute-rgt-in_binary64`
734×	`distribute-lft-in_binary64`
614×	`unsub-neg_binary64`
584×	`associate-l_binary64`
515×	`fma-def_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	160
1	120	148
2	353	148
3	1524	146
4	7048	146
0	2	2

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

Inputs

(/.f64 (+.f64 2 (*.f64 (*.f64 (*.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))) (*.f64 3 (+.f64 (+.f64 1 (*.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (*.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))

(/.f64 (+.f64 2 (*.f64 (*.f64 (*.f64 (sqrt.f64 2) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16))) (-.f64 (cos.f64 y) (cos.f64 x)))) (*.f64 3 (+.f64 (+.f64 1 (*.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 y))) (*.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 x)))))

Outputs
(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16))) (.f64 (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16)) (-.f64 (cos.f64 x) (cos.f64 y))))) (.f64 3 (+.f64 1 (+.f64 (.f64 (cos.f64 x) (/.f64 (+.f64 (sqrt.f64 5) -1) 2)) (.f64 (cos.f64 y) (-.f64 3/2 (/.f64 (sqrt.f64 5) 2)))))))
(/.f64 (fma.f64 (.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16))) (.f64 (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16)) (-.f64 (cos.f64 x) (cos.f64 y))) 2) (*.f64 3 (fma.f64 (cos.f64 y) (-.f64 3/2 (/.f64 (sqrt.f64 5) 2)) (fma.f64 (cos.f64 x) (+.f64 (/.f64 (sqrt.f64 5) 2) -1/2) 1))))
(/.f64 (fma.f64 (.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16))) (.f64 (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16)) (-.f64 (cos.f64 x) (cos.f64 y))) 2) (fma.f64 3 (fma.f64 (cos.f64 x) (+.f64 (/.f64 (sqrt.f64 5) 2) -1/2) 1) (/.f64 (*.f64 (cos.f64 y) (-.f64 3 (sqrt.f64 5))) 2/3)))
(/.f64 (fma.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16)) (.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)) (-.f64 (cos.f64 x) (cos.f64 y)))) 2) (+.f64 3 (fma.f64 (cos.f64 y) (/.f64 (-.f64 3 (sqrt.f64 5)) 2/3) (/.f64 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) 2/3))))
(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16))) (-.f64 (cos.f64 y) (cos.f64 x)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 y))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 x)))))
(/.f64 (+.f64 2 (.f64 (.f64 (sqrt.f64 2) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)) (-.f64 (cos.f64 y) (cos.f64 x))))) (.f64 3 (+.f64 (+.f64 1 (.f64 (cos.f64 y) (/.f64 (+.f64 (sqrt.f64 5) -1) 2))) (.f64 (cos.f64 x) (-.f64 3/2 (/.f64 (sqrt.f64 5) 2))))))
(/.f64 (fma.f64 (.f64 (sqrt.f64 2) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)) (-.f64 (cos.f64 y) (cos.f64 x))) 2) (*.f64 3 (fma.f64 (cos.f64 x) (-.f64 3/2 (/.f64 (sqrt.f64 5) 2)) (fma.f64 (cos.f64 y) (+.f64 (/.f64 (sqrt.f64 5) 2) -1/2) 1))))
(/.f64 (/.f64 (fma.f64 (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16)) (.f64 (.f64 (sqrt.f64 2) (-.f64 (cos.f64 y) (cos.f64 x))) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16))) 2) 3) (fma.f64 (cos.f64 x) (-.f64 3/2 (/.f64 (sqrt.f64 5) 2)) (fma.f64 (cos.f64 y) (+.f64 (/.f64 (sqrt.f64 5) 2) -1/2) 1)))
(/.f64 (fma.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16)) (.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)) (-.f64 (cos.f64 y) (cos.f64 x)))) 2) (+.f64 (/.f64 (*.f64 (cos.f64 y) (+.f64 (sqrt.f64 5) -1)) 2/3) (fma.f64 (cos.f64 x) (/.f64 (-.f64 3 (sqrt.f64 5)) 2/3) 3)))

Compiler

Compiled 54 to 42 computations (22.2% saved)

simplify39.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

445×	`distribute-rgt-neg-out_binary64`
444×	`distribute-lft-neg-out_binary64`
418×	`distribute-rgt-in_binary64`
417×	`distribute-lft-in_binary64`
360×	`associate-*l/_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	33	80
1	80	74
2	211	74
3	815	73
4	3833	71

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

Inputs

(/.f64 (+.f64 2 (*.f64 (*.f64 (*.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))) (*.f64 3 (+.f64 (+.f64 1 (*.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (*.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))

Outputs
(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16))) (.f64 (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16)) (-.f64 (cos.f64 x) (cos.f64 y))))) (.f64 3 (+.f64 1 (+.f64 (.f64 (cos.f64 x) (-.f64 (/.f64 (sqrt.f64 5) 2) 1/2)) (.f64 (cos.f64 y) (-.f64 3/2 (/.f64 (sqrt.f64 5) 2)))))))
(/.f64 (fma.f64 (.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16))) (.f64 (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16)) (-.f64 (cos.f64 x) (cos.f64 y))) 2) (*.f64 3 (fma.f64 (cos.f64 y) (-.f64 3/2 (/.f64 (sqrt.f64 5) 2)) (fma.f64 (cos.f64 x) (+.f64 (/.f64 (sqrt.f64 5) 2) -1/2) 1))))
(/.f64 (fma.f64 (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16)) (.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)) (-.f64 (cos.f64 x) (cos.f64 y)))) 2) (*.f64 3 (fma.f64 (cos.f64 x) (+.f64 (/.f64 (sqrt.f64 5) 2) -1/2) (fma.f64 (cos.f64 y) (/.f64 (-.f64 3 (sqrt.f64 5)) 2) 1))))
(/.f64 (fma.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16)))) 2) (+.f64 3 (fma.f64 (cos.f64 y) (/.f64 (-.f64 3 (sqrt.f64 5)) 2/3) (/.f64 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) 2/3))))
(/.f64 (fma.f64 (sqrt.f64 2) (.f64 (+.f64 (sin.f64 y) (.f64 -1/16 (sin.f64 x))) (.f64 (+.f64 (sin.f64 x) (.f64 -1/16 (sin.f64 y))) (-.f64 (cos.f64 x) (cos.f64 y)))) 2) (fma.f64 (cos.f64 x) (/.f64 (+.f64 (sqrt.f64 5) -1) 2/3) (fma.f64 (cos.f64 y) (-.f64 9/2 (/.f64 (sqrt.f64 5) 2/3)) 3)))

eval2.0ms (0%)

Compiler: Compiled 97 to 68 computations (29.9% saved)

prune3.0ms (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

0.4b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.5b	(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
▶	0.5b	(/.f64 (fma.f64 (sqrt.f64 2) (.f64 (+.f64 (sin.f64 y) (.f64 -1/16 (sin.f64 x))) (.f64 (+.f64 (sin.f64 x) (.f64 -1/16 (sin.f64 y))) (-.f64 (cos.f64 x) (cos.f64 y)))) 2) (fma.f64 (cos.f64 x) (/.f64 (+.f64 (sqrt.f64 5) -1) 2/3) (fma.f64 (cos.f64 y) (-.f64 9/2 (/.f64 (sqrt.f64 5) 2/3)) 3)))

Status

Error

Program

▶

0.5b

(/.f64 (+.f64 2 (*.f64 (*.f64 (*.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))) (*.f64 3 (+.f64 (+.f64 1 (*.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (*.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))

▶

0.5b

(/.f64 (fma.f64 (sqrt.f64 2) (*.f64 (+.f64 (sin.f64 y) (*.f64 -1/16 (sin.f64 x))) (*.f64 (+.f64 (sin.f64 x) (*.f64 -1/16 (sin.f64 y))) (-.f64 (cos.f64 x) (cos.f64 y)))) 2) (fma.f64 (cos.f64 x) (/.f64 (+.f64 (sqrt.f64 5) -1) 2/3) (fma.f64 (cos.f64 y) (-.f64 9/2 (/.f64 (sqrt.f64 5) 2/3)) 3)))

Compiler

Compiled 99 to 75 computations (24.2% saved)

localize226.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(*.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))
✓	0.4b	(*.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)))
✓	1.0b	(-.f64 3 (sqrt.f64 5))
✓	1.4b	(-.f64 (cos.f64 x) (cos.f64 y))

Compiler

Compiled 269 to 178 computations (33.8% saved)

series36.0ms (0.1%)

Counts

4 → 44

Calls

15 calls:

Time	Variable		Point	Expression
23.0ms	x	@	-inf	(*.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)))
2.0ms	x	@	-inf	(*.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))
1.0ms	y	@	inf	(*.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)))
1.0ms	x	@	inf	(*.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)))
1.0ms	x	@	0	(*.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)))

rewrite175.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

429×	`expm1-udef_binary64`
429×	`log1p-udef_binary64`
289×	`fma-neg_binary64`
250×	`add-sqr-sqrt_binary64`
239×	`*-un-lft-identity_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	22	44
1	501	44
2	6527	42

Stop Event

1×	node limit

Counts

4 → 115

Calls

Call 1

Inputs
(-.f64 (cos.f64 x) (cos.f64 y))
(-.f64 3 (sqrt.f64 5))
(*.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)))
(*.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 x) (neg.f64 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 x) (.f64 (neg.f64 (cos.f64 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (fma.f64 (neg.f64 (cos.f64 y)) 1 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (fma.f64 (neg.f64 (cbrt.f64 (cos.f64 y))) (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (+.f64 (neg.f64 (cos.f64 y)) (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (cos.f64 y)) (cos.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (cos.f64 x) (cos.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (-.f64 (cos.f64 x) (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (-.f64 (cos.f64 x) (cos.f64 y))) (pow.f64 (cbrt.f64 (-.f64 (cos.f64 x) (cos.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (-.f64 (cos.f64 x) (cos.f64 y))) 2) (cbrt.f64 (-.f64 (cos.f64 x) (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (-.f64 (cos.f64 x) (cos.f64 y))) (sqrt.f64 (-.f64 (cos.f64 x) (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -2 (.f64 (sin.f64 (.f64 (-.f64 x y) 1/2)) (sin.f64 (.f64 (+.f64 x y) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sin.f64 (.f64 (-.f64 x y) 1/2)) (sin.f64 (.f64 (+.f64 x y) 1/2))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (cos.f64 y) 3)) (/.f64 1 (+.f64 (pow.f64 (cos.f64 x) 2) (.f64 (cos.f64 y) (+.f64 (cos.f64 x) (cos.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 y) 2)) (/.f64 1 (+.f64 (cos.f64 x) (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (sqrt.f64 (cos.f64 x)) (sqrt.f64 (cos.f64 y))) (-.f64 (sqrt.f64 (cos.f64 x)) (sqrt.f64 (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 -2 (sin.f64 (.f64 (-.f64 x y) 1/2))) (sin.f64 (.f64 (+.f64 x y) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (cos.f64 x) 2) (.f64 (cos.f64 y) (+.f64 (cos.f64 x) (cos.f64 y)))) (-.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (cos.f64 y) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (cos.f64 x) (cos.f64 y)) (-.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (cos.f64 y) 3)) (+.f64 (pow.f64 (cos.f64 x) 2) (.f64 (cos.f64 y) (+.f64 (cos.f64 x) (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 y) 2)) (+.f64 (cos.f64 x) (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (cos.f64 y) 3))) (neg.f64 (+.f64 (pow.f64 (cos.f64 x) 2) (.f64 (cos.f64 y) (+.f64 (cos.f64 x) (cos.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 y) 2))) (neg.f64 (+.f64 (cos.f64 x) (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (neg.f64 (cos.f64 y)) 3)) (+.f64 (pow.f64 (cos.f64 x) 2) (-.f64 (.f64 (neg.f64 (cos.f64 y)) (neg.f64 (cos.f64 y))) (.f64 (cos.f64 x) (neg.f64 (cos.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (cos.f64 x) 2) (.f64 (neg.f64 (cos.f64 y)) (neg.f64 (cos.f64 y)))) (-.f64 (cos.f64 x) (neg.f64 (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (cos.f64 x) (cos.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (cos.f64 x) (cos.f64 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (cos.f64 x) (cos.f64 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (cos.f64 x) (cos.f64 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (cos.f64 x) (cos.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 (cos.f64 x) (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 (cos.f64 x) (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (cos.f64 x) (cos.f64 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (cos.f64 x) (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (cos.f64 x) (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (cos.f64 x) (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (-.f64 (cos.f64 x) (cos.f64 y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cos.f64 x) 1 (neg.f64 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (cos.f64 x) (neg.f64 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (cos.f64 x)) (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (neg.f64 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cbrt.f64 (cos.f64 x)) (neg.f64 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (cos.f64 x)) (sqrt.f64 (cos.f64 x)) (neg.f64 (cos.f64 y)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 3 (neg.f64 (sqrt.f64 5)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 3 (.f64 (neg.f64 (sqrt.f64 5)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (sqrt.f64 5)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 3 (sqrt.f64 5)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (-.f64 3 (sqrt.f64 5)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 4 (/.f64 1 (+.f64 3 (sqrt.f64 5))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (-.f64 3 (sqrt.f64 5))) (pow.f64 (cbrt.f64 (-.f64 3 (sqrt.f64 5))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (-.f64 3 (sqrt.f64 5))) 2) (cbrt.f64 (-.f64 3 (sqrt.f64 5))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (-.f64 3 (sqrt.f64 5))) (sqrt.f64 (-.f64 3 (sqrt.f64 5))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 27 (pow.f64 5 3/2)) (/.f64 1 (+.f64 14 (.f64 3 (sqrt.f64 5)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 3 (sqrt.f64 5)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 14 (.f64 3 (sqrt.f64 5))) (-.f64 27 (pow.f64 5 3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 4 (+.f64 3 (sqrt.f64 5)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 27 (pow.f64 5 3/2)) (+.f64 14 (.f64 3 (sqrt.f64 5))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -4 (neg.f64 (+.f64 3 (sqrt.f64 5))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 27 (pow.f64 5 3/2))) (neg.f64 (+.f64 14 (.f64 3 (sqrt.f64 5)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 27 (pow.f64 (neg.f64 (sqrt.f64 5)) 3)) (+.f64 9 (-.f64 (.f64 (neg.f64 (sqrt.f64 5)) (neg.f64 (sqrt.f64 5))) (.f64 3 (neg.f64 (sqrt.f64 5))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 9 (.f64 (neg.f64 (sqrt.f64 5)) (neg.f64 (sqrt.f64 5)))) (-.f64 3 (neg.f64 (sqrt.f64 5))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 3 (sqrt.f64 5)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 3 (sqrt.f64 5)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 3 (sqrt.f64 5))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 3 (sqrt.f64 5))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 3 (sqrt.f64 5)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 3 (sqrt.f64 5))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 3 (sqrt.f64 5)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 3 (sqrt.f64 5)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 3 (sqrt.f64 5))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 3 (sqrt.f64 5))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 3 (sqrt.f64 5))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (-.f64 3 (sqrt.f64 5))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (sin.f64 x) (sqrt.f64 2)) (.f64 (.f64 (sin.f64 y) -1/16) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (sqrt.f64 2) (sin.f64 x)) (.f64 (sqrt.f64 2) (.f64 (sin.f64 y) -1/16)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (sqrt.f64 2) (+.f64 (sin.f64 x) (.f64 (sin.f64 y) -1/16))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 (pow.f64 (sin.f64 x) 3) (.f64 (pow.f64 (sin.f64 y) 3) 1/4096)) (sqrt.f64 2)) (+.f64 (pow.f64 (sin.f64 x) 2) (.f64 (.f64 (sin.f64 y) 1/16) (+.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 (pow.f64 (sin.f64 x) 2) (.f64 (pow.f64 (sin.f64 y) 2) 1/256)) (sqrt.f64 2)) (+.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sqrt.f64 2) (-.f64 (pow.f64 (sin.f64 x) 3) (.f64 (pow.f64 (sin.f64 y) 3) 1/4096))) (+.f64 (pow.f64 (sin.f64 x) 2) (.f64 (.f64 (sin.f64 y) 1/16) (+.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sqrt.f64 2) (-.f64 (pow.f64 (sin.f64 x) 2) (.f64 (pow.f64 (sin.f64 y) 2) 1/256))) (+.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (sqrt.f64 2) (+.f64 (sin.f64 x) (.f64 (sin.f64 y) -1/16))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (sqrt.f64 2) (+.f64 (sin.f64 x) (.f64 (sin.f64 y) -1/16))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 (sqrt.f64 2) (+.f64 (sin.f64 x) (.f64 (sin.f64 y) -1/16)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 (sqrt.f64 2) (+.f64 (sin.f64 x) (.f64 (sin.f64 y) -1/16)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 2 (pow.f64 (+.f64 (sin.f64 x) (.f64 (sin.f64 y) -1/16)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (sqrt.f64 2)) (+.f64 (sin.f64 x) (.f64 (sin.f64 y) -1/16))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 (sqrt.f64 2) (+.f64 (sin.f64 x) (.f64 (sin.f64 y) -1/16))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 (sqrt.f64 2) (+.f64 (sin.f64 x) (.f64 (sin.f64 y) -1/16))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (.f64 2 (sqrt.f64 2)) (pow.f64 (+.f64 (sin.f64 x) (.f64 (sin.f64 y) -1/16)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (+.f64 (sin.f64 x) (.f64 (sin.f64 y) -1/16)) 3) (.f64 2 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 (sqrt.f64 2) (+.f64 (sin.f64 x) (.f64 (sin.f64 y) -1/16)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 (sqrt.f64 2) (+.f64 (sin.f64 x) (.f64 (sin.f64 y) -1/16)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 (sqrt.f64 2) (+.f64 (sin.f64 x) (.f64 (sin.f64 y) -1/16)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 (sqrt.f64 2) (+.f64 (sin.f64 x) (.f64 (sin.f64 y) -1/16)))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (cos.f64 x) (fma.f64 (sqrt.f64 5) 1/2 -1/2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cos.f64 x) (.f64 1/2 (+.f64 (sqrt.f64 5) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 2 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (sqrt.f64 5) -1) (/.f64 2 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 (neg.f64 (sqrt.f64 5)) 1) (cos.f64 x)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (cos.f64 x) (+.f64 (neg.f64 (sqrt.f64 5)) 1)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (cos.f64 x) (fma.f64 (sqrt.f64 5) 1/2 -1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (cos.f64 x) (fma.f64 (sqrt.f64 5) 1/2 -1/2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 (cos.f64 x) (fma.f64 (sqrt.f64 5) 1/2 -1/2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 (cos.f64 x) (fma.f64 (sqrt.f64 5) 1/2 -1/2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 (cos.f64 x) (fma.f64 (sqrt.f64 5) 1/2 -1/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (fma.f64 (sqrt.f64 5) 1/2 -1/2)) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 (cos.f64 x) (fma.f64 (sqrt.f64 5) 1/2 -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 (cos.f64 x) (fma.f64 (sqrt.f64 5) 1/2 -1/2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (fma.f64 (sqrt.f64 5) 1/2 -1/2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (fma.f64 (sqrt.f64 5) 1/2 -1/2) 3) (pow.f64 (cos.f64 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 (cos.f64 x) (fma.f64 (sqrt.f64 5) 1/2 -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 (cos.f64 x) (fma.f64 (sqrt.f64 5) 1/2 -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 (cos.f64 x) (fma.f64 (sqrt.f64 5) 1/2 -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (*.f64 (cos.f64 x) (fma.f64 (sqrt.f64 5) 1/2 -1/2))) 1))))))

simplify70.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

777×	`fma-neg_binary64`
557×	`fma-def_binary64`
515×	`associate-+l+_binary64`
489×	`cancel-sign-sub-inv_binary64`
438×	`unswap-sqr_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	109	831
1	290	827
2	805	729
3	2922	699
4	5737	695

Stop Event

1×	node limit

Counts

159 → 156

Calls

Call 1

Inputs
(-.f64 1 (cos.f64 y))
(-.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 x 2))) (cos.f64 y))
(-.f64 (+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 1/24 (pow.f64 x 4)))) (cos.f64 y))
(-.f64 (+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 1/24 (pow.f64 x 4)) (*.f64 -1/720 (pow.f64 x 6))))) (cos.f64 y))
(-.f64 (cos.f64 x) 1)
(-.f64 (+.f64 (cos.f64 x) (*.f64 1/2 (pow.f64 y 2))) 1)
(-.f64 (+.f64 (cos.f64 x) (+.f64 (.f64 1/2 (pow.f64 y 2)) (.f64 -1/24 (pow.f64 y 4)))) 1)
(-.f64 (+.f64 (cos.f64 x) (+.f64 (.f64 1/2 (pow.f64 y 2)) (+.f64 (.f64 1/720 (pow.f64 y 6)) (*.f64 -1/24 (pow.f64 y 4))))) 1)
(.f64 -1/16 (.f64 (sqrt.f64 2) (sin.f64 y)))
(+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) (sin.f64 y))) (*.f64 (sqrt.f64 2) x))
(+.f64 (.f64 -1/6 (.f64 (sqrt.f64 2) (pow.f64 x 3))) (+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) (sin.f64 y))) (*.f64 (sqrt.f64 2) x)))
(+.f64 (.f64 -1/6 (.f64 (sqrt.f64 2) (pow.f64 x 3))) (+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) (sin.f64 y))) (+.f64 (.f64 (sqrt.f64 2) x) (.f64 1/120 (*.f64 (sqrt.f64 2) (pow.f64 x 5))))))
(.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))))
(.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))))
(.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))))
(.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))))
(.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))))
(.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))))
(.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))))
(.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))))
(*.f64 (sqrt.f64 2) (sin.f64 x))
(+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) y)) (*.f64 (sqrt.f64 2) (sin.f64 x)))
(+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) y)) (+.f64 (.f64 1/96 (.f64 (sqrt.f64 2) (pow.f64 y 3))) (*.f64 (sqrt.f64 2) (sin.f64 x))))
(+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) y)) (+.f64 (.f64 1/96 (.f64 (sqrt.f64 2) (pow.f64 y 3))) (+.f64 (.f64 (sqrt.f64 2) (sin.f64 x)) (.f64 -1/1920 (*.f64 (sqrt.f64 2) (pow.f64 y 5))))))
(.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))))
(.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))))
(.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))))
(.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))))
(.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))))
(.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))))
(.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))))
(.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))))
(*.f64 1/2 (-.f64 (sqrt.f64 5) 1))
(+.f64 (.f64 -1/4 (.f64 (-.f64 (sqrt.f64 5) 1) (pow.f64 x 2))) (*.f64 1/2 (-.f64 (sqrt.f64 5) 1)))
(+.f64 (.f64 1/48 (.f64 (-.f64 (sqrt.f64 5) 1) (pow.f64 x 4))) (+.f64 (.f64 -1/4 (.f64 (-.f64 (sqrt.f64 5) 1) (pow.f64 x 2))) (*.f64 1/2 (-.f64 (sqrt.f64 5) 1))))
(+.f64 (.f64 1/48 (.f64 (-.f64 (sqrt.f64 5) 1) (pow.f64 x 4))) (+.f64 (.f64 -1/4 (.f64 (-.f64 (sqrt.f64 5) 1) (pow.f64 x 2))) (+.f64 (.f64 -1/1440 (.f64 (-.f64 (sqrt.f64 5) 1) (pow.f64 x 6))) (*.f64 1/2 (-.f64 (sqrt.f64 5) 1)))))
(.f64 1/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))
(.f64 1/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))
(.f64 1/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))
(.f64 1/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))
(.f64 1/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))
(.f64 1/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))
(.f64 1/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))
(.f64 1/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))

Outputs
(-.f64 1 (cos.f64 y))
(-.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 x 2))) (cos.f64 y))
(+.f64 1 (-.f64 (.f64 -1/2 (.f64 x x)) (cos.f64 y)))
(-.f64 (fma.f64 -1/2 (*.f64 x x) 1) (cos.f64 y))
(-.f64 (+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 1/24 (pow.f64 x 4)))) (cos.f64 y))
(+.f64 1 (-.f64 (fma.f64 -1/2 (.f64 x x) (.f64 1/24 (pow.f64 x 4))) (cos.f64 y)))
(+.f64 (fma.f64 -1/2 (.f64 x x) 1) (-.f64 (.f64 1/24 (pow.f64 x 4)) (cos.f64 y)))
(-.f64 (fma.f64 -1/2 (*.f64 x x) (fma.f64 1/24 (pow.f64 x 4) 1)) (cos.f64 y))
(-.f64 (+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 1/24 (pow.f64 x 4)) (*.f64 -1/720 (pow.f64 x 6))))) (cos.f64 y))
(+.f64 1 (-.f64 (fma.f64 -1/2 (.f64 x x) (fma.f64 1/24 (pow.f64 x 4) (.f64 -1/720 (pow.f64 x 6)))) (cos.f64 y)))
(+.f64 1 (-.f64 (fma.f64 -1/2 (.f64 x x) (fma.f64 -1/720 (pow.f64 x 6) (.f64 1/24 (pow.f64 x 4)))) (cos.f64 y)))
(+.f64 (-.f64 (fma.f64 -1/2 (.f64 x x) 1) (cos.f64 y)) (fma.f64 -1/720 (pow.f64 x 6) (.f64 1/24 (pow.f64 x 4))))
(-.f64 (cos.f64 x) 1)
(+.f64 (cos.f64 x) -1)
(-.f64 (+.f64 (cos.f64 x) (*.f64 1/2 (pow.f64 y 2))) 1)
(+.f64 (cos.f64 x) (-.f64 (.f64 1/2 (.f64 y y)) 1))
(+.f64 (fma.f64 1/2 (*.f64 y y) (cos.f64 x)) -1)
(+.f64 (cos.f64 x) (fma.f64 y (*.f64 y 1/2) -1))
(-.f64 (+.f64 (cos.f64 x) (+.f64 (.f64 1/2 (pow.f64 y 2)) (.f64 -1/24 (pow.f64 y 4)))) 1)
(+.f64 (cos.f64 x) (-.f64 (fma.f64 1/2 (.f64 y y) (.f64 -1/24 (pow.f64 y 4))) 1))
(+.f64 (cos.f64 x) (+.f64 (.f64 -1/24 (pow.f64 y 4)) (fma.f64 1/2 (.f64 y y) -1)))
(+.f64 (cos.f64 x) (fma.f64 y (*.f64 y 1/2) (fma.f64 -1/24 (pow.f64 y 4) -1)))
(+.f64 (cos.f64 x) (fma.f64 -1/24 (pow.f64 y 4) (fma.f64 y (*.f64 y 1/2) -1)))
(-.f64 (+.f64 (cos.f64 x) (+.f64 (.f64 1/2 (pow.f64 y 2)) (+.f64 (.f64 1/720 (pow.f64 y 6)) (*.f64 -1/24 (pow.f64 y 4))))) 1)
(+.f64 (cos.f64 x) (-.f64 (fma.f64 1/2 (.f64 y y) (fma.f64 1/720 (pow.f64 y 6) (.f64 -1/24 (pow.f64 y 4)))) 1))
(+.f64 (cos.f64 x) (+.f64 (fma.f64 -1/24 (pow.f64 y 4) (.f64 1/720 (pow.f64 y 6))) (fma.f64 1/2 (.f64 y y) -1)))
(+.f64 (cos.f64 x) (+.f64 (.f64 1/720 (pow.f64 y 6)) (fma.f64 y (.f64 y 1/2) (fma.f64 -1/24 (pow.f64 y 4) -1))))
(+.f64 (fma.f64 y (*.f64 y 1/2) (fma.f64 -1/24 (pow.f64 y 4) (cos.f64 x))) (fma.f64 1/720 (pow.f64 y 6) -1))
(.f64 -1/16 (.f64 (sqrt.f64 2) (sin.f64 y)))
(+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) (sin.f64 y))) (*.f64 (sqrt.f64 2) x))
(fma.f64 -1/16 (.f64 (sqrt.f64 2) (sin.f64 y)) (.f64 x (sqrt.f64 2)))
(fma.f64 (.f64 -1/16 (sqrt.f64 2)) (sin.f64 y) (.f64 x (sqrt.f64 2)))
(.f64 (sqrt.f64 2) (+.f64 (.f64 -1/16 (sin.f64 y)) x))
(.f64 (sqrt.f64 2) (+.f64 x (.f64 -1/16 (sin.f64 y))))
(+.f64 (.f64 -1/6 (.f64 (sqrt.f64 2) (pow.f64 x 3))) (+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) (sin.f64 y))) (*.f64 (sqrt.f64 2) x)))
(fma.f64 -1/6 (.f64 (sqrt.f64 2) (pow.f64 x 3)) (fma.f64 -1/16 (.f64 (sqrt.f64 2) (sin.f64 y)) (*.f64 x (sqrt.f64 2))))
(fma.f64 -1/6 (.f64 (sqrt.f64 2) (pow.f64 x 3)) (fma.f64 (.f64 -1/16 (sqrt.f64 2)) (sin.f64 y) (*.f64 x (sqrt.f64 2))))
(fma.f64 (sqrt.f64 2) (.f64 -1/6 (pow.f64 x 3)) (.f64 (sqrt.f64 2) (+.f64 (*.f64 -1/16 (sin.f64 y)) x)))
(.f64 (sqrt.f64 2) (+.f64 (.f64 -1/16 (sin.f64 y)) (+.f64 x (*.f64 -1/6 (pow.f64 x 3)))))
(.f64 (sqrt.f64 2) (+.f64 x (fma.f64 -1/6 (pow.f64 x 3) (.f64 -1/16 (sin.f64 y)))))
(+.f64 (.f64 -1/6 (.f64 (sqrt.f64 2) (pow.f64 x 3))) (+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) (sin.f64 y))) (+.f64 (.f64 (sqrt.f64 2) x) (.f64 1/120 (*.f64 (sqrt.f64 2) (pow.f64 x 5))))))
(fma.f64 -1/6 (.f64 (sqrt.f64 2) (pow.f64 x 3)) (fma.f64 -1/16 (.f64 (sqrt.f64 2) (sin.f64 y)) (fma.f64 (sqrt.f64 2) x (.f64 1/120 (.f64 (sqrt.f64 2) (pow.f64 x 5))))))
(fma.f64 -1/6 (.f64 (sqrt.f64 2) (pow.f64 x 3)) (fma.f64 -1/16 (.f64 (sqrt.f64 2) (sin.f64 y)) (fma.f64 x (sqrt.f64 2) (.f64 (sqrt.f64 2) (.f64 (pow.f64 x 5) 1/120)))))
(+.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 -1/16 (sin.f64 y)) x)) (.f64 (sqrt.f64 2) (+.f64 (.f64 1/120 (pow.f64 x 5)) (*.f64 -1/6 (pow.f64 x 3)))))
(.f64 (sqrt.f64 2) (+.f64 (+.f64 x (.f64 -1/16 (sin.f64 y))) (+.f64 (.f64 1/120 (pow.f64 x 5)) (.f64 -1/6 (pow.f64 x 3)))))
(.f64 (sqrt.f64 2) (+.f64 (+.f64 x (.f64 1/120 (pow.f64 x 5))) (fma.f64 -1/6 (pow.f64 x 3) (*.f64 -1/16 (sin.f64 y)))))
(.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))))
(.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16)))
(*.f64 (sqrt.f64 2) (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)))
(.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))))
(.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16)))
(*.f64 (sqrt.f64 2) (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)))
(.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))))
(.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16)))
(*.f64 (sqrt.f64 2) (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)))
(.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))))
(.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16)))
(*.f64 (sqrt.f64 2) (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)))
(.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))))
(.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16)))
(*.f64 (sqrt.f64 2) (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)))
(.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))))
(.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16)))
(*.f64 (sqrt.f64 2) (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)))
(.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))))
(.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16)))
(*.f64 (sqrt.f64 2) (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)))
(.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))))
(.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16)))
(*.f64 (sqrt.f64 2) (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)))
(*.f64 (sqrt.f64 2) (sin.f64 x))
(+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) y)) (*.f64 (sqrt.f64 2) (sin.f64 x)))
(fma.f64 -1/16 (.f64 y (sqrt.f64 2)) (.f64 (sqrt.f64 2) (sin.f64 x)))
(.f64 (sqrt.f64 2) (+.f64 (sin.f64 x) (.f64 y -1/16)))
(+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) y)) (+.f64 (.f64 1/96 (.f64 (sqrt.f64 2) (pow.f64 y 3))) (*.f64 (sqrt.f64 2) (sin.f64 x))))
(fma.f64 -1/16 (.f64 y (sqrt.f64 2)) (fma.f64 1/96 (.f64 (sqrt.f64 2) (pow.f64 y 3)) (*.f64 (sqrt.f64 2) (sin.f64 x))))
(fma.f64 -1/16 (.f64 y (sqrt.f64 2)) (fma.f64 (sqrt.f64 2) (sin.f64 x) (.f64 (sqrt.f64 2) (*.f64 (pow.f64 y 3) 1/96))))
(fma.f64 y (.f64 -1/16 (sqrt.f64 2)) (.f64 (sqrt.f64 2) (+.f64 (sin.f64 x) (*.f64 1/96 (pow.f64 y 3)))))
(.f64 (sqrt.f64 2) (+.f64 (sin.f64 x) (+.f64 (.f64 1/96 (pow.f64 y 3)) (*.f64 y -1/16))))
(+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) y)) (+.f64 (.f64 1/96 (.f64 (sqrt.f64 2) (pow.f64 y 3))) (+.f64 (.f64 (sqrt.f64 2) (sin.f64 x)) (.f64 -1/1920 (*.f64 (sqrt.f64 2) (pow.f64 y 5))))))
(fma.f64 -1/16 (.f64 y (sqrt.f64 2)) (fma.f64 1/96 (.f64 (sqrt.f64 2) (pow.f64 y 3)) (fma.f64 (sqrt.f64 2) (sin.f64 x) (.f64 (.f64 -1/1920 (sqrt.f64 2)) (pow.f64 y 5)))))
(fma.f64 -1/16 (.f64 y (sqrt.f64 2)) (fma.f64 1/96 (.f64 (sqrt.f64 2) (pow.f64 y 3)) (fma.f64 (sqrt.f64 2) (sin.f64 x) (.f64 (sqrt.f64 2) (.f64 (pow.f64 y 5) -1/1920)))))
(+.f64 (.f64 (sqrt.f64 2) (+.f64 (sin.f64 x) (.f64 y -1/16))) (.f64 (sqrt.f64 2) (+.f64 (.f64 1/96 (pow.f64 y 3)) (*.f64 -1/1920 (pow.f64 y 5)))))
(.f64 (sqrt.f64 2) (+.f64 (+.f64 (sin.f64 x) (.f64 y -1/16)) (+.f64 (.f64 -1/1920 (pow.f64 y 5)) (.f64 1/96 (pow.f64 y 3)))))
(.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))))
(.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16)))
(*.f64 (sqrt.f64 2) (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)))
(.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))))
(.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16)))
(*.f64 (sqrt.f64 2) (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)))
(.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))))
(.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16)))
(*.f64 (sqrt.f64 2) (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)))
(.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))))
(.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16)))
(*.f64 (sqrt.f64 2) (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)))
(.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))))
(.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16)))
(*.f64 (sqrt.f64 2) (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)))
(.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))))
(.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16)))
(*.f64 (sqrt.f64 2) (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)))
(.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))))
(.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16)))
(*.f64 (sqrt.f64 2) (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)))
(.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))))
(.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16)))
(*.f64 (sqrt.f64 2) (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)))
(*.f64 1/2 (-.f64 (sqrt.f64 5) 1))
(*.f64 1/2 (+.f64 (sqrt.f64 5) -1))
(fma.f64 1/2 (sqrt.f64 5) -1/2)
(+.f64 (.f64 -1/4 (.f64 (-.f64 (sqrt.f64 5) 1) (pow.f64 x 2))) (*.f64 1/2 (-.f64 (sqrt.f64 5) 1)))
(fma.f64 -1/4 (.f64 (.f64 x x) (+.f64 (sqrt.f64 5) -1)) (*.f64 1/2 (+.f64 (sqrt.f64 5) -1)))
(fma.f64 1/2 (+.f64 (sqrt.f64 5) -1) (.f64 (+.f64 (sqrt.f64 5) -1) (.f64 (*.f64 x x) -1/4)))
(.f64 (+.f64 (sqrt.f64 5) -1) (+.f64 1/2 (.f64 x (*.f64 x -1/4))))
(+.f64 (.f64 1/48 (.f64 (-.f64 (sqrt.f64 5) 1) (pow.f64 x 4))) (+.f64 (.f64 -1/4 (.f64 (-.f64 (sqrt.f64 5) 1) (pow.f64 x 2))) (*.f64 1/2 (-.f64 (sqrt.f64 5) 1))))
(fma.f64 1/48 (.f64 (pow.f64 x 4) (+.f64 (sqrt.f64 5) -1)) (fma.f64 -1/4 (.f64 (.f64 x x) (+.f64 (sqrt.f64 5) -1)) (.f64 1/2 (+.f64 (sqrt.f64 5) -1))))
(fma.f64 1/48 (.f64 (pow.f64 x 4) (+.f64 (sqrt.f64 5) -1)) (fma.f64 1/2 (+.f64 (sqrt.f64 5) -1) (.f64 (+.f64 (sqrt.f64 5) -1) (.f64 (.f64 x x) -1/4))))
(fma.f64 (.f64 x x) (fma.f64 (sqrt.f64 5) -1/4 1/4) (.f64 (+.f64 (sqrt.f64 5) -1) (+.f64 (*.f64 (pow.f64 x 4) 1/48) 1/2)))
(.f64 (+.f64 (sqrt.f64 5) -1) (+.f64 (.f64 x (.f64 x -1/4)) (+.f64 1/2 (.f64 (pow.f64 x 4) 1/48))))
(.f64 (+.f64 (sqrt.f64 5) -1) (+.f64 1/2 (+.f64 (.f64 x (.f64 x -1/4)) (.f64 (pow.f64 x 4) 1/48))))
(+.f64 (.f64 1/48 (.f64 (-.f64 (sqrt.f64 5) 1) (pow.f64 x 4))) (+.f64 (.f64 -1/4 (.f64 (-.f64 (sqrt.f64 5) 1) (pow.f64 x 2))) (+.f64 (.f64 -1/1440 (.f64 (-.f64 (sqrt.f64 5) 1) (pow.f64 x 6))) (*.f64 1/2 (-.f64 (sqrt.f64 5) 1)))))
(fma.f64 1/48 (.f64 (pow.f64 x 4) (+.f64 (sqrt.f64 5) -1)) (fma.f64 -1/4 (.f64 (.f64 x x) (+.f64 (sqrt.f64 5) -1)) (fma.f64 -1/1440 (.f64 (pow.f64 x 6) (+.f64 (sqrt.f64 5) -1)) (*.f64 1/2 (+.f64 (sqrt.f64 5) -1)))))
(fma.f64 1/48 (.f64 (pow.f64 x 4) (+.f64 (sqrt.f64 5) -1)) (fma.f64 -1/4 (.f64 x (.f64 x (+.f64 (sqrt.f64 5) -1))) (fma.f64 1/2 (+.f64 (sqrt.f64 5) -1) (.f64 (pow.f64 x 6) (+.f64 (*.f64 (sqrt.f64 5) -1/1440) 1/1440)))))
(+.f64 (.f64 (+.f64 (sqrt.f64 5) -1) (+.f64 1/2 (.f64 (pow.f64 x 6) -1/1440))) (.f64 (+.f64 (sqrt.f64 5) -1) (+.f64 (.f64 x (.f64 x -1/4)) (.f64 (pow.f64 x 4) 1/48))))
(.f64 (+.f64 (sqrt.f64 5) -1) (+.f64 (+.f64 1/2 (.f64 (pow.f64 x 6) -1/1440)) (+.f64 (.f64 x (.f64 x -1/4)) (*.f64 (pow.f64 x 4) 1/48))))
(.f64 (+.f64 (sqrt.f64 5) -1) (+.f64 (+.f64 (.f64 x (.f64 x -1/4)) (.f64 (pow.f64 x 6) -1/1440)) (+.f64 1/2 (*.f64 (pow.f64 x 4) 1/48))))
(.f64 1/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))
(.f64 1/2 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)))
(.f64 (cos.f64 x) (.f64 1/2 (+.f64 (sqrt.f64 5) -1)))
(*.f64 (cos.f64 x) (fma.f64 1/2 (sqrt.f64 5) -1/2))
(.f64 1/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))
(.f64 1/2 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)))
(.f64 (cos.f64 x) (.f64 1/2 (+.f64 (sqrt.f64 5) -1)))
(*.f64 (cos.f64 x) (fma.f64 1/2 (sqrt.f64 5) -1/2))
(.f64 1/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))
(.f64 1/2 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)))
(.f64 (cos.f64 x) (.f64 1/2 (+.f64 (sqrt.f64 5) -1)))
(*.f64 (cos.f64 x) (fma.f64 1/2 (sqrt.f64 5) -1/2))
(.f64 1/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))
(.f64 1/2 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)))
(.f64 (cos.f64 x) (.f64 1/2 (+.f64 (sqrt.f64 5) -1)))
(*.f64 (cos.f64 x) (fma.f64 1/2 (sqrt.f64 5) -1/2))
(.f64 1/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))
(.f64 1/2 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)))
(.f64 (cos.f64 x) (.f64 1/2 (+.f64 (sqrt.f64 5) -1)))
(*.f64 (cos.f64 x) (fma.f64 1/2 (sqrt.f64 5) -1/2))
(.f64 1/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))
(.f64 1/2 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)))
(.f64 (cos.f64 x) (.f64 1/2 (+.f64 (sqrt.f64 5) -1)))
(*.f64 (cos.f64 x) (fma.f64 1/2 (sqrt.f64 5) -1/2))
(.f64 1/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))
(.f64 1/2 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)))
(.f64 (cos.f64 x) (.f64 1/2 (+.f64 (sqrt.f64 5) -1)))
(*.f64 (cos.f64 x) (fma.f64 1/2 (sqrt.f64 5) -1/2))
(.f64 1/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))
(.f64 1/2 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)))
(.f64 (cos.f64 x) (.f64 1/2 (+.f64 (sqrt.f64 5) -1)))
(*.f64 (cos.f64 x) (fma.f64 1/2 (sqrt.f64 5) -1/2))

localize82.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(.f64 (+.f64 (sin.f64 x) (.f64 -1/16 (sin.f64 y))) (-.f64 (cos.f64 x) (cos.f64 y)))
✓	1.0b	(-.f64 9/2 (/.f64 (sqrt.f64 5) 2/3))
✓	1.0b	(/.f64 (+.f64 (sqrt.f64 5) -1) 2/3)
	1.4b	(-.f64 (cos.f64 x) (cos.f64 y))

Compiler

Compiled 203 to 123 computations (39.4% saved)

series4.0ms (0%)

Counts

3 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(.f64 (+.f64 (sin.f64 x) (.f64 -1/16 (sin.f64 y))) (-.f64 (cos.f64 x) (cos.f64 y)))
1.0ms	y	@	-inf	(.f64 (+.f64 (sin.f64 x) (.f64 -1/16 (sin.f64 y))) (-.f64 (cos.f64 x) (cos.f64 y)))
1.0ms	y	@	inf	(.f64 (+.f64 (sin.f64 x) (.f64 -1/16 (sin.f64 y))) (-.f64 (cos.f64 x) (cos.f64 y)))
1.0ms	x	@	0	(.f64 (+.f64 (sin.f64 x) (.f64 -1/16 (sin.f64 y))) (-.f64 (cos.f64 x) (cos.f64 y)))
1.0ms	x	@	-inf	(.f64 (+.f64 (sin.f64 x) (.f64 -1/16 (sin.f64 y))) (-.f64 (cos.f64 x) (cos.f64 y)))

rewrite95.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

427×	`expm1-udef_binary64`
427×	`log1p-udef_binary64`
288×	`fma-neg_binary64`
248×	`add-sqr-sqrt_binary64`
233×	`*-un-lft-identity_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	21	39
1	479	34
2	6460	34

Stop Event

1×	node limit

Counts

3 → 92

Calls

Call 1

Inputs
(/.f64 (+.f64 (sqrt.f64 5) -1) 2/3)
(-.f64 9/2 (/.f64 (sqrt.f64 5) 2/3))
(.f64 (+.f64 (sin.f64 x) (.f64 -1/16 (sin.f64 y))) (-.f64 (cos.f64 x) (cos.f64 y)))

Outputs
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Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 (sqrt.f64 5) -1) 3/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 5) -1) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (sqrt.f64 5) -1) 3/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (+.f64 (sqrt.f64 5) -1) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 5) -1)) 2) (*.f64 (cbrt.f64 (+.f64 (sqrt.f64 5) -1)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (+.f64 (sqrt.f64 5) -1) 3/2)) (pow.f64 (cbrt.f64 (*.f64 (+.f64 (sqrt.f64 5) -1) 3/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 (sqrt.f64 5) -1) 3/2)) 2) (cbrt.f64 (*.f64 (+.f64 (sqrt.f64 5) -1) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (sqrt.f64 5) -1)) (*.f64 (sqrt.f64 (+.f64 (sqrt.f64 5) -1)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (+.f64 (sqrt.f64 5) -1) 3/2)) (sqrt.f64 (*.f64 (+.f64 (sqrt.f64 5) -1) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (+.f64 (sqrt.f64 5) -1)) -3/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 3/2 (+.f64 (sqrt.f64 5) -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 (sqrt.f64 5) -1) 3/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (+.f64 (sqrt.f64 5) -1) 3/2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (+.f64 (sqrt.f64 5) -1) 3/2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (+.f64 (sqrt.f64 5) -1) 3/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/6 (+.f64 (sqrt.f64 5) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 (sqrt.f64 5) -1) -2/3))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (+.f64 (sqrt.f64 5) -1) 3/2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (+.f64 (sqrt.f64 5) -1) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 (sqrt.f64 5) -1) 3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (+.f64 (sqrt.f64 5) -1) 3/2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (+.f64 (sqrt.f64 5) -1) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (+.f64 (sqrt.f64 5) -1) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (+.f64 (sqrt.f64 5) -1) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 (sqrt.f64 5) -1) 3/2)) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 9/2 (neg.f64 (sqrt.f64 45/4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 9/2 (*.f64 (neg.f64 (sqrt.f64 45/4)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (sqrt.f64 45/4)) 9/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 9/2 (sqrt.f64 45/4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 9/2 (sqrt.f64 45/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 9/2 (sqrt.f64 45/4))) (pow.f64 (cbrt.f64 (-.f64 9/2 (sqrt.f64 45/4))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 9/2 (sqrt.f64 45/4))) 2) (cbrt.f64 (-.f64 9/2 (sqrt.f64 45/4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 9/2 (sqrt.f64 45/4))) (sqrt.f64 (-.f64 9/2 (sqrt.f64 45/4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 729/8 (*.f64 (sqrt.f64 45/4) 45/4)) (/.f64 1 (+.f64 63/2 (*.f64 9/2 (sqrt.f64 45/4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 9 (/.f64 1 (+.f64 9/2 (sqrt.f64 45/4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 63/2 (*.f64 9/2 (sqrt.f64 45/4))) (-.f64 729/8 (*.f64 (sqrt.f64 45/4) 45/4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 9/2 (sqrt.f64 45/4)) 9))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 729/8 (*.f64 (sqrt.f64 45/4) 45/4)) (+.f64 63/2 (*.f64 9/2 (sqrt.f64 45/4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 9 (+.f64 9/2 (sqrt.f64 45/4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 729/8 (*.f64 (sqrt.f64 45/4) 45/4))) (neg.f64 (+.f64 63/2 (*.f64 9/2 (sqrt.f64 45/4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -9 (neg.f64 (+.f64 9/2 (sqrt.f64 45/4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 729/8 (pow.f64 (neg.f64 (sqrt.f64 45/4)) 3)) (+.f64 81/4 (-.f64 (*.f64 (neg.f64 (sqrt.f64 45/4)) (neg.f64 (sqrt.f64 45/4))) (*.f64 9/2 (neg.f64 (sqrt.f64 45/4))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 81/4 (*.f64 (neg.f64 (sqrt.f64 45/4)) (neg.f64 (sqrt.f64 45/4)))) (-.f64 9/2 (neg.f64 (sqrt.f64 45/4))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 9/2 (sqrt.f64 45/4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 9/2 (sqrt.f64 45/4)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 9/2 (sqrt.f64 45/4))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 9/2 (sqrt.f64 45/4))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 9/2 (sqrt.f64 45/4)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 9/2 (sqrt.f64 45/4))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 9/2 (sqrt.f64 45/4)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 9/2 (sqrt.f64 45/4)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 9/2 (sqrt.f64 45/4))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 9/2 (sqrt.f64 45/4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 9/2 (sqrt.f64 45/4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (-.f64 9/2 (sqrt.f64 45/4))) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 x) (fma.f64 -1/16 (sin.f64 y) (sin.f64 x))) (*.f64 (neg.f64 (cos.f64 y)) (fma.f64 -1/16 (sin.f64 y) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 x) (cos.f64 y))) (*.f64 (*.f64 -1/16 (sin.f64 y)) (-.f64 (cos.f64 x) (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 -1/16 (sin.f64 y)) (-.f64 (cos.f64 x) (cos.f64 y))) (*.f64 (sin.f64 x) (-.f64 (cos.f64 x) (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)) (cos.f64 x)) (*.f64 (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)) (neg.f64 (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (sin.f64 x)) (*.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (*.f64 -1/16 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (*.f64 -1/16 (sin.f64 y))) (*.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)) (-.f64 (cos.f64 x) (cos.f64 y))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (pow.f64 (sin.f64 y) 3) -1/4096)) (-.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (cos.f64 y) 3))) (*.f64 (+.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (*.f64 -1/16 (sin.f64 y)) (-.f64 (*.f64 -1/16 (sin.f64 y)) (sin.f64 x)))) (+.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (cos.f64 y) (+.f64 (cos.f64 x) (cos.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (sin.f64 y) 2) 1/256)) (-.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (cos.f64 y) 3))) (*.f64 (+.f64 (sin.f64 x) (*.f64 1/16 (sin.f64 y))) (+.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (cos.f64 y) (+.f64 (cos.f64 x) (cos.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (pow.f64 (sin.f64 y) 3) -1/4096)) (-.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 y) 2))) (*.f64 (+.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (*.f64 -1/16 (sin.f64 y)) (-.f64 (*.f64 -1/16 (sin.f64 y)) (sin.f64 x)))) (+.f64 (cos.f64 x) (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (sin.f64 y) 2) 1/256)) (-.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 y) 2))) (*.f64 (+.f64 (sin.f64 x) (*.f64 1/16 (sin.f64 y))) (+.f64 (cos.f64 x) (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (cos.f64 y) 3)) (+.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (pow.f64 (sin.f64 y) 3) -1/4096))) (*.f64 (+.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (cos.f64 y) (+.f64 (cos.f64 x) (cos.f64 y)))) (+.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (*.f64 -1/16 (sin.f64 y)) (-.f64 (*.f64 -1/16 (sin.f64 y)) (sin.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 y) 2)) (+.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (pow.f64 (sin.f64 y) 3) -1/4096))) (*.f64 (+.f64 (cos.f64 x) (cos.f64 y)) (+.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (*.f64 -1/16 (sin.f64 y)) (-.f64 (*.f64 -1/16 (sin.f64 y)) (sin.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (cos.f64 y) 3)) (-.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (sin.f64 y) 2) 1/256))) (*.f64 (+.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (cos.f64 y) (+.f64 (cos.f64 x) (cos.f64 y)))) (+.f64 (sin.f64 x) (*.f64 1/16 (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 y) 2)) (-.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (sin.f64 y) 2) 1/256))) (*.f64 (+.f64 (cos.f64 x) (cos.f64 y)) (+.f64 (sin.f64 x) (*.f64 1/16 (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (pow.f64 (sin.f64 y) 3) -1/4096)) (-.f64 (cos.f64 x) (cos.f64 y))) (+.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (*.f64 -1/16 (sin.f64 y)) (-.f64 (*.f64 -1/16 (sin.f64 y)) (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (sin.f64 y) 2) 1/256)) (-.f64 (cos.f64 x) (cos.f64 y))) (+.f64 (sin.f64 x) (*.f64 1/16 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (cos.f64 y) 3)) (fma.f64 -1/16 (sin.f64 y) (sin.f64 x))) (+.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (cos.f64 y) (+.f64 (cos.f64 x) (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 y) 2)) (fma.f64 -1/16 (sin.f64 y) (sin.f64 x))) (+.f64 (cos.f64 x) (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)) (-.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (cos.f64 y) 3))) (+.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (cos.f64 y) (+.f64 (cos.f64 x) (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)) (-.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 y) 2))) (+.f64 (cos.f64 x) (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (+.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (pow.f64 (sin.f64 y) 3) -1/4096))) (+.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (*.f64 -1/16 (sin.f64 y)) (-.f64 (*.f64 -1/16 (sin.f64 y)) (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (-.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (sin.f64 y) 2) 1/256))) (+.f64 (sin.f64 x) (*.f64 1/16 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)) (-.f64 (cos.f64 x) (cos.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)) (-.f64 (cos.f64 x) (cos.f64 y))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)) (-.f64 (cos.f64 x) (cos.f64 y)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)) (-.f64 (cos.f64 x) (cos.f64 y)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)) (-.f64 (cos.f64 x) (cos.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (-.f64 (cos.f64 x) (cos.f64 y))) (fma.f64 -1/16 (sin.f64 y) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)) (-.f64 (cos.f64 x) (cos.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)) (-.f64 (cos.f64 x) (cos.f64 y))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)) 3) (pow.f64 (-.f64 (cos.f64 x) (cos.f64 y)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (-.f64 (cos.f64 x) (cos.f64 y)) 3) (pow.f64 (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)) (-.f64 (cos.f64 x) (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)) (-.f64 (cos.f64 x) (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)) (-.f64 (cos.f64 x) (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)) (-.f64 (cos.f64 x) (cos.f64 y)))) 1))))))

simplify72.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

706×	`sub-neg_binary64`
514×	`associate-l_binary64`
492×	`unsub-neg_binary64`
428×	`associate-r_binary64`
411×	`associate-+l+_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	53	547
1	153	533
2	426	503
3	1561	503
4	4789	503
5	6631	503

Stop Event

1×	node limit

Counts

116 → 109

Calls

Call 1

Inputs
(.f64 -1/16 (.f64 (-.f64 1 (cos.f64 y)) (sin.f64 y)))
(+.f64 (.f64 -1/16 (.f64 (-.f64 1 (cos.f64 y)) (sin.f64 y))) (*.f64 (-.f64 1 (cos.f64 y)) x))
(+.f64 (.f64 -1/16 (.f64 (-.f64 1 (cos.f64 y)) (sin.f64 y))) (+.f64 (.f64 1/32 (.f64 (sin.f64 y) (pow.f64 x 2))) (*.f64 (-.f64 1 (cos.f64 y)) x)))
(+.f64 (.f64 -1/16 (.f64 (-.f64 1 (cos.f64 y)) (sin.f64 y))) (+.f64 (.f64 1/32 (.f64 (sin.f64 y) (pow.f64 x 2))) (+.f64 (.f64 (-.f64 (.f64 -1/6 (-.f64 1 (cos.f64 y))) 1/2) (pow.f64 x 3)) (*.f64 (-.f64 1 (cos.f64 y)) x))))
(.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x)))
(.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x)))
(.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x)))
(.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x)))
(.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x)))
(.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x)))
(.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x)))
(.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x)))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 x) 1))
(+.f64 (.f64 -1/16 (.f64 y (-.f64 (cos.f64 x) 1))) (*.f64 (sin.f64 x) (-.f64 (cos.f64 x) 1)))
(+.f64 (.f64 -1/16 (.f64 y (-.f64 (cos.f64 x) 1))) (+.f64 (.f64 (sin.f64 x) (-.f64 (cos.f64 x) 1)) (.f64 1/2 (*.f64 (pow.f64 y 2) (sin.f64 x)))))
(+.f64 (.f64 -1/16 (.f64 y (-.f64 (cos.f64 x) 1))) (+.f64 (.f64 (sin.f64 x) (-.f64 (cos.f64 x) 1)) (+.f64 (.f64 (-.f64 (.f64 1/96 (-.f64 (cos.f64 x) 1)) 1/32) (pow.f64 y 3)) (.f64 1/2 (*.f64 (pow.f64 y 2) (sin.f64 x))))))
(.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x)))
(.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x)))
(.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x)))
(.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x)))
(.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x)))
(.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x)))
(.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x)))
(.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x)))

Outputs
(.f64 -1/16 (.f64 (-.f64 1 (cos.f64 y)) (sin.f64 y)))
(+.f64 (.f64 -1/16 (.f64 (-.f64 1 (cos.f64 y)) (sin.f64 y))) (*.f64 (-.f64 1 (cos.f64 y)) x))
(fma.f64 -1/16 (.f64 (-.f64 1 (cos.f64 y)) (sin.f64 y)) (.f64 (-.f64 1 (cos.f64 y)) x))
(.f64 (-.f64 1 (cos.f64 y)) (+.f64 (.f64 -1/16 (sin.f64 y)) x))
(.f64 (-.f64 1 (cos.f64 y)) (+.f64 x (.f64 -1/16 (sin.f64 y))))
(+.f64 (.f64 -1/16 (.f64 (-.f64 1 (cos.f64 y)) (sin.f64 y))) (+.f64 (.f64 1/32 (.f64 (sin.f64 y) (pow.f64 x 2))) (*.f64 (-.f64 1 (cos.f64 y)) x)))
(fma.f64 -1/16 (.f64 (-.f64 1 (cos.f64 y)) (sin.f64 y)) (fma.f64 1/32 (.f64 (sin.f64 y) (.f64 x x)) (.f64 (-.f64 1 (cos.f64 y)) x)))
(fma.f64 -1/16 (.f64 (-.f64 1 (cos.f64 y)) (sin.f64 y)) (fma.f64 (-.f64 1 (cos.f64 y)) x (.f64 (sin.f64 y) (.f64 (.f64 x x) 1/32))))
(fma.f64 (sin.f64 y) (.f64 x (.f64 x 1/32)) (.f64 (-.f64 1 (cos.f64 y)) (+.f64 (.f64 -1/16 (sin.f64 y)) x)))
(fma.f64 (sin.f64 y) (.f64 x (.f64 x 1/32)) (.f64 (-.f64 1 (cos.f64 y)) (+.f64 x (.f64 -1/16 (sin.f64 y)))))
(+.f64 (.f64 -1/16 (.f64 (-.f64 1 (cos.f64 y)) (sin.f64 y))) (+.f64 (.f64 1/32 (.f64 (sin.f64 y) (pow.f64 x 2))) (+.f64 (.f64 (-.f64 (.f64 -1/6 (-.f64 1 (cos.f64 y))) 1/2) (pow.f64 x 3)) (*.f64 (-.f64 1 (cos.f64 y)) x))))
(fma.f64 -1/16 (.f64 (-.f64 1 (cos.f64 y)) (sin.f64 y)) (fma.f64 1/32 (.f64 (sin.f64 y) (.f64 x x)) (fma.f64 (fma.f64 -1/6 (-.f64 1 (cos.f64 y)) -1/2) (pow.f64 x 3) (.f64 (-.f64 1 (cos.f64 y)) x))))
(fma.f64 -1/16 (.f64 (-.f64 1 (cos.f64 y)) (sin.f64 y)) (fma.f64 1/32 (.f64 (sin.f64 y) (.f64 x x)) (fma.f64 (fma.f64 (-.f64 1 (cos.f64 y)) -1/6 -1/2) (pow.f64 x 3) (.f64 (-.f64 1 (cos.f64 y)) x))))
(+.f64 (.f64 (-.f64 1 (cos.f64 y)) (+.f64 (.f64 -1/16 (sin.f64 y)) x)) (.f64 (.f64 x x) (+.f64 (.f64 (sin.f64 y) 1/32) (.f64 x (+.f64 -2/3 (*.f64 1/6 (cos.f64 y)))))))
(+.f64 (.f64 (-.f64 1 (cos.f64 y)) (+.f64 x (.f64 -1/16 (sin.f64 y)))) (.f64 (.f64 x x) (+.f64 (.f64 (sin.f64 y) 1/32) (.f64 x (+.f64 (*.f64 (cos.f64 y) 1/6) -2/3)))))
(.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x)))
(*.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)))
(.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x)))
(*.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)))
(.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x)))
(*.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)))
(.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x)))
(*.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)))
(.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x)))
(*.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)))
(.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x)))
(*.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)))
(.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x)))
(*.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)))
(.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x)))
(*.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 x) 1))
(*.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1))
(+.f64 (.f64 -1/16 (.f64 y (-.f64 (cos.f64 x) 1))) (*.f64 (sin.f64 x) (-.f64 (cos.f64 x) 1)))
(fma.f64 -1/16 (.f64 y (+.f64 (cos.f64 x) -1)) (.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1)))
(.f64 (+.f64 (cos.f64 x) -1) (+.f64 (sin.f64 x) (.f64 -1/16 y)))
(*.f64 (+.f64 (cos.f64 x) -1) (fma.f64 -1/16 y (sin.f64 x)))
(+.f64 (.f64 -1/16 (.f64 y (-.f64 (cos.f64 x) 1))) (+.f64 (.f64 (sin.f64 x) (-.f64 (cos.f64 x) 1)) (.f64 1/2 (*.f64 (pow.f64 y 2) (sin.f64 x)))))
(fma.f64 -1/16 (.f64 y (+.f64 (cos.f64 x) -1)) (fma.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1) (.f64 1/2 (.f64 (sin.f64 x) (.f64 y y)))))
(+.f64 (.f64 (+.f64 (cos.f64 x) -1) (+.f64 (sin.f64 x) (.f64 -1/16 y))) (.f64 (sin.f64 x) (.f64 1/2 (*.f64 y y))))
(fma.f64 1/2 (.f64 y (.f64 y (sin.f64 x))) (*.f64 (+.f64 (cos.f64 x) -1) (fma.f64 -1/16 y (sin.f64 x))))
(+.f64 (.f64 -1/16 (.f64 y (-.f64 (cos.f64 x) 1))) (+.f64 (.f64 (sin.f64 x) (-.f64 (cos.f64 x) 1)) (+.f64 (.f64 (-.f64 (.f64 1/96 (-.f64 (cos.f64 x) 1)) 1/32) (pow.f64 y 3)) (.f64 1/2 (*.f64 (pow.f64 y 2) (sin.f64 x))))))
(fma.f64 -1/16 (.f64 y (+.f64 (cos.f64 x) -1)) (fma.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1) (fma.f64 (fma.f64 1/96 (+.f64 (cos.f64 x) -1) -1/32) (pow.f64 y 3) (.f64 1/2 (.f64 (sin.f64 x) (.f64 y y))))))
(+.f64 (.f64 (+.f64 (cos.f64 x) -1) (+.f64 (sin.f64 x) (.f64 -1/16 y))) (fma.f64 1/2 (.f64 y (.f64 y (sin.f64 x))) (*.f64 (fma.f64 (+.f64 (cos.f64 x) -1) 1/96 -1/32) (pow.f64 y 3))))
(fma.f64 (+.f64 (cos.f64 x) -1) (fma.f64 -1/16 y (sin.f64 x)) (.f64 (.f64 y y) (+.f64 (.f64 1/2 (sin.f64 x)) (.f64 y (+.f64 (*.f64 (cos.f64 x) 1/96) -1/24)))))
(fma.f64 (+.f64 (cos.f64 x) -1) (fma.f64 -1/16 y (sin.f64 x)) (.f64 (.f64 y y) (+.f64 (.f64 y (+.f64 (.f64 (cos.f64 x) 1/96) -1/24)) (*.f64 1/2 (sin.f64 x)))))
(fma.f64 (+.f64 (cos.f64 x) -1) (fma.f64 -1/16 y (sin.f64 x)) (.f64 y (.f64 y (+.f64 (.f64 y (+.f64 (.f64 (cos.f64 x) 1/96) -1/24)) (*.f64 1/2 (sin.f64 x))))))
(.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x)))
(*.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)))
(.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x)))
(*.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)))
(.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x)))
(*.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)))
(.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x)))
(*.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)))
(.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x)))
(*.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)))
(.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x)))
(*.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)))
(.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x)))
(*.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)))
(.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x)))
(*.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)))

eval548.0ms (1.7%)

Compiler: Compiled 17351 to 11427 computations (34.1% saved)

prune163.0ms (0.5%)

Pruning

35 alts after pruning (34 fresh and 1 done)

	Pruned	Kept	Total
New	288	34	322
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	289	35	324

Error

0.1b

Counts

324 → 35

Alt Table

Click to see full alt table

Status	Error	Program
	32.5b	(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (+.f64 (sin.f64 x) (.f64 y -1/16))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (*.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
	0.5b	(/.f64 (fma.f64 (sqrt.f64 2) (.f64 (+.f64 (sin.f64 y) (.f64 -1/16 (sin.f64 x))) (.f64 (+.f64 (sin.f64 x) (.f64 -1/16 (sin.f64 y))) (pow.f64 (cbrt.f64 (-.f64 (cos.f64 x) (cos.f64 y))) 3))) 2) (fma.f64 (cos.f64 x) (/.f64 (+.f64 (sqrt.f64 5) -1) 2/3) (fma.f64 (cos.f64 y) (-.f64 9/2 (/.f64 (sqrt.f64 5) 2/3)) 3)))
	4.2b	(/.f64 (fma.f64 (sqrt.f64 2) (.f64 (+.f64 (sin.f64 y) (.f64 -1/16 (sin.f64 x))) (-.f64 (exp.f64 (log1p.f64 (*.f64 (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)) (-.f64 (cos.f64 x) (cos.f64 y))))) 1)) 2) (fma.f64 (cos.f64 x) (/.f64 (+.f64 (sqrt.f64 5) -1) 2/3) (fma.f64 (cos.f64 y) (-.f64 9/2 (/.f64 (sqrt.f64 5) 2/3)) 3)))
▶	0.5b	(/.f64 (+.f64 2 (.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 (sqrt.f64 2) (+.f64 (sin.f64 x) (.f64 (sin.f64 y) -1/16)))) 3) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (*.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
	0.6b	(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (log.f64 (exp.f64 (-.f64 3 (sqrt.f64 5)))) 2) (cos.f64 y)))))
	13.6b	(/.f64 (fma.f64 (sqrt.f64 2) (.f64 (+.f64 (sin.f64 y) (.f64 -1/16 (sin.f64 x))) (.f64 (+.f64 (sin.f64 x) (.f64 -1/16 (sin.f64 y))) (.f64 (.f64 (sin.f64 (.f64 (-.f64 x y) 1/2)) (sin.f64 (.f64 (+.f64 x y) 1/2))) -2))) 2) (fma.f64 (cos.f64 x) (/.f64 (+.f64 (sqrt.f64 5) -1) 2/3) (fma.f64 (cos.f64 y) (-.f64 9/2 (/.f64 (sqrt.f64 5) 2/3)) 3)))
	0.5b	(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (/.f64 (+.f64 (sqrt.f64 5) -1) (/.f64 2 (cos.f64 x)))) (*.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
▶	24.1b	(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (sin.f64 x)) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
	0.5b	(/.f64 (fma.f64 (sqrt.f64 2) (.f64 (+.f64 (sin.f64 y) (.f64 -1/16 (sin.f64 x))) (.f64 (+.f64 (sin.f64 x) (.f64 -1/16 (sin.f64 y))) (-.f64 (cos.f64 x) (cos.f64 y)))) 2) (fma.f64 (cos.f64 x) (/.f64 (+.f64 (sqrt.f64 5) -1) 2/3) (fma.f64 (cos.f64 y) (+.f64 (neg.f64 (sqrt.f64 45/4)) 9/2) 3)))
	0.5b	(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (/.f64 1 (/.f64 2 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1))))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
	25.1b	(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) 1))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
▶	0.5b	(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (cbrt.f64 (.f64 (pow.f64 (fma.f64 (sqrt.f64 5) 1/2 -1/2) 3) (pow.f64 (cos.f64 x) 3)))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
	0.4b	(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (/.f64 (cos.f64 x) (.f64 1/2 (+.f64 (sqrt.f64 5) 1)))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
	13.6b	(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (.f64 (.f64 (sin.f64 (.f64 (-.f64 x y) 1/2)) (sin.f64 (.f64 (+.f64 x y) 1/2))) -2))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
	25.2b	(/.f64 (fma.f64 (sqrt.f64 2) (.f64 (+.f64 (sin.f64 y) (.f64 -1/16 (sin.f64 x))) (*.f64 (sin.f64 x) (-.f64 (cos.f64 x) 1))) 2) (fma.f64 (cos.f64 x) (/.f64 (+.f64 (sqrt.f64 5) -1) 2/3) (fma.f64 (cos.f64 y) (-.f64 9/2 (/.f64 (sqrt.f64 5) 2/3)) 3)))
	0.5b	(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (cbrt.f64 (pow.f64 (.f64 (cos.f64 x) (fma.f64 (sqrt.f64 5) 1/2 -1/2)) 3))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
	10.6b	(/.f64 (fma.f64 (sqrt.f64 2) (.f64 (+.f64 (sin.f64 y) (.f64 -1/16 (sin.f64 x))) (.f64 (+.f64 (sin.f64 x) (.f64 -1/16 (sin.f64 y))) (expm1.f64 (log1p.f64 (-.f64 (cos.f64 x) (cos.f64 y)))))) 2) (fma.f64 (cos.f64 x) (/.f64 (+.f64 (sqrt.f64 5) -1) 2/3) (fma.f64 (cos.f64 y) (-.f64 9/2 (/.f64 (sqrt.f64 5) 2/3)) 3)))
	0.5b	(/.f64 (fma.f64 (sqrt.f64 2) (.f64 (+.f64 (sin.f64 y) (.f64 -1/16 (sin.f64 x))) (log.f64 (+.f64 1 (expm1.f64 (*.f64 (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)) (-.f64 (cos.f64 x) (cos.f64 y))))))) 2) (fma.f64 (cos.f64 x) (/.f64 (+.f64 (sqrt.f64 5) -1) 2/3) (fma.f64 (cos.f64 y) (-.f64 9/2 (/.f64 (sqrt.f64 5) 2/3)) 3)))
	0.5b	(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (log.f64 (+.f64 1 (expm1.f64 (.f64 (cos.f64 x) (fma.f64 (sqrt.f64 5) 1/2 -1/2)))))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
	0.5b	(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (pow.f64 (cbrt.f64 (-.f64 (cos.f64 x) (cos.f64 y))) 3))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
	0.5b	(/.f64 (fma.f64 (sqrt.f64 2) (.f64 (+.f64 (sin.f64 y) (.f64 -1/16 (sin.f64 x))) (.f64 (+.f64 (sin.f64 x) (.f64 -1/16 (sin.f64 y))) (-.f64 (cos.f64 x) (cos.f64 y)))) 2) (fma.f64 (cos.f64 x) (/.f64 (+.f64 (sqrt.f64 5) -1) 2/3) (fma.f64 (cos.f64 y) (/.f64 9 (+.f64 9/2 (sqrt.f64 45/4))) 3)))
	0.5b	(/.f64 (fma.f64 (sqrt.f64 2) (.f64 (+.f64 (sin.f64 y) (.f64 -1/16 (sin.f64 x))) (.f64 (+.f64 (sin.f64 x) (.f64 -1/16 (sin.f64 y))) (-.f64 (cos.f64 x) (cos.f64 y)))) 2) (fma.f64 (cos.f64 x) (.f64 (pow.f64 (cbrt.f64 (.f64 (+.f64 (sqrt.f64 5) -1) 3/2)) 2) (cbrt.f64 (*.f64 (+.f64 (sqrt.f64 5) -1) 3/2))) (fma.f64 (cos.f64 y) (-.f64 9/2 (/.f64 (sqrt.f64 5) 2/3)) 3)))
	7.2b	(/.f64 (+.f64 2 (.f64 (.f64 (-.f64 (exp.f64 (log1p.f64 (.f64 (sqrt.f64 2) (+.f64 (sin.f64 x) (.f64 (sin.f64 y) -1/16))))) 1) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (*.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
✓	0.5b	(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
	0.9b	(/.f64 (fma.f64 (sqrt.f64 2) (.f64 (+.f64 (sin.f64 y) (.f64 -1/16 (sin.f64 x))) (.f64 (+.f64 (sin.f64 x) (.f64 -1/16 (sin.f64 y))) (-.f64 (cos.f64 x) (cos.f64 y)))) 2) (fma.f64 (cos.f64 x) (.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 5) -1)) 2) (.f64 (cbrt.f64 (+.f64 (sqrt.f64 5) -1)) 3/2)) (fma.f64 (cos.f64 y) (-.f64 9/2 (/.f64 (sqrt.f64 5) 2/3)) 3)))
	24.0b	(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 1 (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
	0.9b	(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (pow.f64 (cbrt.f64 (.f64 (cos.f64 x) (fma.f64 (sqrt.f64 5) 1/2 -1/2))) 3)) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
	26.0b	(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 1/2 (-.f64 (sqrt.f64 5) 1))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
	24.1b	(/.f64 (+.f64 2 (.f64 (.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) (sin.f64 y))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (*.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
▶	0.5b	(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (/.f64 4 (+.f64 3 (sqrt.f64 5))) 2) (cos.f64 y)))))
▶	0.4b	(/.f64 (fma.f64 (sqrt.f64 2) (.f64 (+.f64 (sin.f64 y) (.f64 -1/16 (sin.f64 x))) (.f64 (+.f64 (sin.f64 x) (.f64 -1/16 (sin.f64 y))) (-.f64 (cos.f64 x) (cos.f64 y)))) 2) (fma.f64 (cos.f64 x) (pow.f64 (*.f64 1/6 (+.f64 (sqrt.f64 5) 1)) -1) (fma.f64 (cos.f64 y) (-.f64 9/2 (/.f64 (sqrt.f64 5) 2/3)) 3)))
	24.2b	(/.f64 (fma.f64 (sqrt.f64 2) (.f64 (+.f64 (sin.f64 y) (.f64 -1/16 (sin.f64 x))) (.f64 -1/16 (.f64 (-.f64 1 (cos.f64 y)) (sin.f64 y)))) 2) (fma.f64 (cos.f64 x) (/.f64 (+.f64 (sqrt.f64 5) -1) 2/3) (fma.f64 (cos.f64 y) (-.f64 9/2 (/.f64 (sqrt.f64 5) 2/3)) 3)))
	18.5b	(/.f64 (+.f64 2 (.f64 (.f64 (sqrt.f64 (.f64 2 (pow.f64 (+.f64 (sin.f64 x) (.f64 (sin.f64 y) -1/16)) 2))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (*.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
	0.6b	(/.f64 (fma.f64 (sqrt.f64 2) (.f64 (+.f64 (sin.f64 y) (.f64 -1/16 (sin.f64 x))) (.f64 (+.f64 (sin.f64 x) (.f64 -1/16 (sin.f64 y))) (-.f64 (cos.f64 x) (cos.f64 y)))) 2) (fma.f64 (cos.f64 x) (expm1.f64 (log1p.f64 (*.f64 (+.f64 (sqrt.f64 5) -1) 3/2))) (fma.f64 (cos.f64 y) (-.f64 9/2 (/.f64 (sqrt.f64 5) 2/3)) 3)))
	0.5b	(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (/.f64 (-.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 y) 2)) (+.f64 (cos.f64 x) (cos.f64 y))))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))

Compiler

Compiled 3596 to 2798 computations (22.2% saved)

localize232.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 (fma.f64 (sqrt.f64 2) (.f64 (+.f64 (sin.f64 y) (.f64 -1/16 (sin.f64 x))) (.f64 (+.f64 (sin.f64 x) (.f64 -1/16 (sin.f64 y))) (-.f64 (cos.f64 x) (cos.f64 y)))) 2) (fma.f64 (cos.f64 x) (pow.f64 (*.f64 1/6 (+.f64 (sqrt.f64 5) 1)) -1) (fma.f64 (cos.f64 y) (-.f64 9/2 (/.f64 (sqrt.f64 5) 2/3)) 3)))
	0.3b	(.f64 (+.f64 (sin.f64 x) (.f64 -1/16 (sin.f64 y))) (-.f64 (cos.f64 x) (cos.f64 y)))
	1.0b	(-.f64 9/2 (/.f64 (sqrt.f64 5) 2/3))
	1.4b	(-.f64 (cos.f64 x) (cos.f64 y))

Compiler

Compiled 217 to 137 computations (36.9% saved)

series24.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
7.0ms	x	@	0	(/.f64 (fma.f64 (sqrt.f64 2) (.f64 (+.f64 (sin.f64 y) (.f64 -1/16 (sin.f64 x))) (.f64 (+.f64 (sin.f64 x) (.f64 -1/16 (sin.f64 y))) (-.f64 (cos.f64 x) (cos.f64 y)))) 2) (fma.f64 (cos.f64 x) (pow.f64 (*.f64 1/6 (+.f64 (sqrt.f64 5) 1)) -1) (fma.f64 (cos.f64 y) (-.f64 9/2 (/.f64 (sqrt.f64 5) 2/3)) 3)))
4.0ms	y	@	-inf	(/.f64 (fma.f64 (sqrt.f64 2) (.f64 (+.f64 (sin.f64 y) (.f64 -1/16 (sin.f64 x))) (.f64 (+.f64 (sin.f64 x) (.f64 -1/16 (sin.f64 y))) (-.f64 (cos.f64 x) (cos.f64 y)))) 2) (fma.f64 (cos.f64 x) (pow.f64 (*.f64 1/6 (+.f64 (sqrt.f64 5) 1)) -1) (fma.f64 (cos.f64 y) (-.f64 9/2 (/.f64 (sqrt.f64 5) 2/3)) 3)))
4.0ms	x	@	inf	(/.f64 (fma.f64 (sqrt.f64 2) (.f64 (+.f64 (sin.f64 y) (.f64 -1/16 (sin.f64 x))) (.f64 (+.f64 (sin.f64 x) (.f64 -1/16 (sin.f64 y))) (-.f64 (cos.f64 x) (cos.f64 y)))) 2) (fma.f64 (cos.f64 x) (pow.f64 (*.f64 1/6 (+.f64 (sqrt.f64 5) 1)) -1) (fma.f64 (cos.f64 y) (-.f64 9/2 (/.f64 (sqrt.f64 5) 2/3)) 3)))
3.0ms	y	@	inf	(/.f64 (fma.f64 (sqrt.f64 2) (.f64 (+.f64 (sin.f64 y) (.f64 -1/16 (sin.f64 x))) (.f64 (+.f64 (sin.f64 x) (.f64 -1/16 (sin.f64 y))) (-.f64 (cos.f64 x) (cos.f64 y)))) 2) (fma.f64 (cos.f64 x) (pow.f64 (*.f64 1/6 (+.f64 (sqrt.f64 5) 1)) -1) (fma.f64 (cos.f64 y) (-.f64 9/2 (/.f64 (sqrt.f64 5) 2/3)) 3)))
3.0ms	x	@	-inf	(/.f64 (fma.f64 (sqrt.f64 2) (.f64 (+.f64 (sin.f64 y) (.f64 -1/16 (sin.f64 x))) (.f64 (+.f64 (sin.f64 x) (.f64 -1/16 (sin.f64 y))) (-.f64 (cos.f64 x) (cos.f64 y)))) 2) (fma.f64 (cos.f64 x) (pow.f64 (*.f64 1/6 (+.f64 (sqrt.f64 5) 1)) -1) (fma.f64 (cos.f64 y) (-.f64 9/2 (/.f64 (sqrt.f64 5) 2/3)) 3)))

rewrite55.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

385×	`add-sqr-sqrt_binary64`
364×	`pow1_binary64`
363×	`*-un-lft-identity_binary64`
360×	`add-cbrt-cube_binary64`
360×	`add-log-exp_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	34	74
1	763	68

Stop Event

1×	node limit

Counts

1 → 19

Calls

Call 1

Inputs

(/.f64 (fma.f64 (sqrt.f64 2) (*.f64 (+.f64 (sin.f64 y) (*.f64 -1/16 (sin.f64 x))) (*.f64 (+.f64 (sin.f64 x) (*.f64 -1/16 (sin.f64 y))) (-.f64 (cos.f64 x) (cos.f64 y)))) 2) (fma.f64 (cos.f64 x) (pow.f64 (*.f64 1/6 (+.f64 (sqrt.f64 5) 1)) -1) (fma.f64 (cos.f64 y) (-.f64 9/2 (/.f64 (sqrt.f64 5) 2/3)) 3)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 (sqrt.f64 2) (*.f64 (fma.f64 -1/16 (sin.f64 x) (sin.f64 y)) (*.f64 (fma.f64 (sin.f64 y) -1/16 (sin.f64 x)) (-.f64 (cos.f64 x) (cos.f64 y)))) 2) (fma.f64 (cos.f64 x) (/.f64 1 (fma.f64 1/6 (sqrt.f64 5) 1/6)) (fma.f64 (cos.f64 y) (-.f64 9/2 (*.f64 (sqrt.f64 5) 3/2)) 3))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (sqrt.f64 2) (*.f64 (fma.f64 -1/16 (sin.f64 x) (sin.f64 y)) (*.f64 (fma.f64 (sin.f64 y) -1/16 (sin.f64 x)) (-.f64 (cos.f64 x) (cos.f64 y)))) 2) (/.f64 1 (fma.f64 (cos.f64 x) (/.f64 1 (fma.f64 1/6 (sqrt.f64 5) 1/6)) (fma.f64 (cos.f64 y) (-.f64 9/2 (*.f64 (sqrt.f64 5) 3/2)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (fma.f64 (sqrt.f64 2) (*.f64 (fma.f64 -1/16 (sin.f64 x) (sin.f64 y)) (*.f64 (fma.f64 (sin.f64 y) -1/16 (sin.f64 x)) (-.f64 (cos.f64 x) (cos.f64 y)))) 2) (fma.f64 (cos.f64 x) (/.f64 1 (fma.f64 1/6 (sqrt.f64 5) 1/6)) (fma.f64 (cos.f64 y) (-.f64 9/2 (*.f64 (sqrt.f64 5) 3/2)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 (sqrt.f64 2) (*.f64 (fma.f64 -1/16 (sin.f64 x) (sin.f64 y)) (*.f64 (fma.f64 (sin.f64 y) -1/16 (sin.f64 x)) (-.f64 (cos.f64 x) (cos.f64 y)))) 2) (fma.f64 (cos.f64 x) (/.f64 1 (fma.f64 1/6 (sqrt.f64 5) 1/6)) (fma.f64 (cos.f64 y) (-.f64 9/2 (*.f64 (sqrt.f64 5) 3/2)) 3)))) 2) (cbrt.f64 (/.f64 (fma.f64 (sqrt.f64 2) (*.f64 (fma.f64 -1/16 (sin.f64 x) (sin.f64 y)) (*.f64 (fma.f64 (sin.f64 y) -1/16 (sin.f64 x)) (-.f64 (cos.f64 x) (cos.f64 y)))) 2) (fma.f64 (cos.f64 x) (/.f64 1 (fma.f64 1/6 (sqrt.f64 5) 1/6)) (fma.f64 (cos.f64 y) (-.f64 9/2 (*.f64 (sqrt.f64 5) 3/2)) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (fma.f64 (sqrt.f64 2) (*.f64 (fma.f64 -1/16 (sin.f64 x) (sin.f64 y)) (*.f64 (fma.f64 (sin.f64 y) -1/16 (sin.f64 x)) (-.f64 (cos.f64 x) (cos.f64 y)))) 2) (fma.f64 (cos.f64 x) (/.f64 1 (fma.f64 1/6 (sqrt.f64 5) 1/6)) (fma.f64 (cos.f64 y) (-.f64 9/2 (*.f64 (sqrt.f64 5) 3/2)) 3)))) (sqrt.f64 (/.f64 (fma.f64 (sqrt.f64 2) (*.f64 (fma.f64 -1/16 (sin.f64 x) (sin.f64 y)) (*.f64 (fma.f64 (sin.f64 y) -1/16 (sin.f64 x)) (-.f64 (cos.f64 x) (cos.f64 y)))) 2) (fma.f64 (cos.f64 x) (/.f64 1 (fma.f64 1/6 (sqrt.f64 5) 1/6)) (fma.f64 (cos.f64 y) (-.f64 9/2 (*.f64 (sqrt.f64 5) 3/2)) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (sqrt.f64 2) (*.f64 (fma.f64 -1/16 (sin.f64 x) (sin.f64 y)) (*.f64 (fma.f64 (sin.f64 y) -1/16 (sin.f64 x)) (-.f64 (cos.f64 x) (cos.f64 y)))) 2) (fma.f64 (cos.f64 x) (/.f64 1 (fma.f64 1/6 (sqrt.f64 5) 1/6)) (fma.f64 (cos.f64 y) (-.f64 9/2 (*.f64 (sqrt.f64 5) 3/2)) 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (fma.f64 (sqrt.f64 2) (*.f64 (fma.f64 -1/16 (sin.f64 x) (sin.f64 y)) (*.f64 (fma.f64 (sin.f64 y) -1/16 (sin.f64 x)) (-.f64 (cos.f64 x) (cos.f64 y)))) 2) (fma.f64 (cos.f64 x) (/.f64 1 (fma.f64 1/6 (sqrt.f64 5) 1/6)) (fma.f64 (cos.f64 y) (-.f64 9/2 (*.f64 (sqrt.f64 5) 3/2)) 3))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (fma.f64 (sqrt.f64 2) (*.f64 (fma.f64 -1/16 (sin.f64 x) (sin.f64 y)) (*.f64 (fma.f64 (sin.f64 y) -1/16 (sin.f64 x)) (-.f64 (cos.f64 x) (cos.f64 y)))) 2) (fma.f64 (cos.f64 x) (/.f64 1 (fma.f64 1/6 (sqrt.f64 5) 1/6)) (fma.f64 (cos.f64 y) (-.f64 9/2 (*.f64 (sqrt.f64 5) 3/2)) 3)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (fma.f64 (sqrt.f64 2) (*.f64 (fma.f64 -1/16 (sin.f64 x) (sin.f64 y)) (*.f64 (fma.f64 (sin.f64 y) -1/16 (sin.f64 x)) (-.f64 (cos.f64 x) (cos.f64 y)))) 2) (fma.f64 (cos.f64 x) (/.f64 1 (fma.f64 1/6 (sqrt.f64 5) 1/6)) (fma.f64 (cos.f64 y) (-.f64 9/2 (*.f64 (sqrt.f64 5) 3/2)) 3)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (cos.f64 x) (/.f64 1 (fma.f64 1/6 (sqrt.f64 5) 1/6)) (fma.f64 (cos.f64 y) (-.f64 9/2 (*.f64 (sqrt.f64 5) 3/2)) 3)) (fma.f64 (sqrt.f64 2) (*.f64 (fma.f64 -1/16 (sin.f64 x) (sin.f64 y)) (*.f64 (fma.f64 (sin.f64 y) -1/16 (sin.f64 x)) (-.f64 (cos.f64 x) (cos.f64 y)))) 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (fma.f64 (sqrt.f64 2) (*.f64 (fma.f64 -1/16 (sin.f64 x) (sin.f64 y)) (*.f64 (fma.f64 (sin.f64 y) -1/16 (sin.f64 x)) (-.f64 (cos.f64 x) (cos.f64 y)))) 2) (fma.f64 (cos.f64 x) (/.f64 1 (fma.f64 1/6 (sqrt.f64 5) 1/6)) (fma.f64 (cos.f64 y) (-.f64 9/2 (*.f64 (sqrt.f64 5) 3/2)) 3))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (fma.f64 (sqrt.f64 2) (*.f64 (fma.f64 -1/16 (sin.f64 x) (sin.f64 y)) (*.f64 (fma.f64 (sin.f64 y) -1/16 (sin.f64 x)) (-.f64 (cos.f64 x) (cos.f64 y)))) 2) (fma.f64 (cos.f64 x) (/.f64 1 (fma.f64 1/6 (sqrt.f64 5) 1/6)) (fma.f64 (cos.f64 y) (-.f64 9/2 (*.f64 (sqrt.f64 5) 3/2)) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 (sqrt.f64 2) (*.f64 (fma.f64 -1/16 (sin.f64 x) (sin.f64 y)) (*.f64 (fma.f64 (sin.f64 y) -1/16 (sin.f64 x)) (-.f64 (cos.f64 x) (cos.f64 y)))) 2) (fma.f64 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(sin.f64 x) (sin.f64 y)) (*.f64 (fma.f64 (sin.f64 y) -1/16 (sin.f64 x)) (-.f64 (cos.f64 x) (cos.f64 y)))) 2) (fma.f64 (cos.f64 x) (/.f64 1 (fma.f64 1/6 (sqrt.f64 5) 1/6)) (fma.f64 (cos.f64 y) (-.f64 9/2 (*.f64 (sqrt.f64 5) 3/2)) 3)))) 1))))))

simplify76.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

756×	`distribute-lft-in_binary64`
756×	`distribute-rgt-in_binary64`
711×	`associate-l_binary64`
607×	`fma-def_binary64`
395×	`times-frac_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	157	2771
1	503	2693
2	1867	2526

Stop Event

1×	node limit

Counts

43 → 37

Calls

Call 1

Inputs
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (.f64 6 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1)))) (*.f64 3/2 (sqrt.f64 5))))
(+.f64 (.f64 -1/16 (/.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))) (-.f64 (+.f64 15/2 (.f64 6 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1)))) (.f64 3/2 (sqrt.f64 5))))) (+.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 y (.f64 (-.f64 (cos.f64 x) 1) (+.f64 (.f64 1/256 (sin.f64 x)) (sin.f64 x))))) (-.f64 (+.f64 15/2 (.f64 6 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1)))) (.f64 3/2 (sqrt.f64 5)))) (.f64 2 (/.f64 1 (-.f64 (+.f64 15/2 (.f64 6 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1)))) (.f64 3/2 (sqrt.f64 5)))))))
(+.f64 (.f64 -1/16 (/.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))) (-.f64 (+.f64 15/2 (.f64 6 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1)))) (.f64 3/2 (sqrt.f64 5))))) (+.f64 (.f64 (pow.f64 y 2) (-.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 -1/32 (pow.f64 (sin.f64 x) 2)) (.f64 -1/16 (-.f64 (cos.f64 x) 1)))) (-.f64 (+.f64 15/2 (.f64 6 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1)))) (.f64 3/2 (sqrt.f64 5)))) (.f64 -1/2 (/.f64 (.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5)))) (pow.f64 (-.f64 (+.f64 15/2 (.f64 6 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1)))) (.f64 3/2 (sqrt.f64 5))) 2))))) (+.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 y (.f64 (-.f64 (cos.f64 x) 1) (+.f64 (.f64 1/256 (sin.f64 x)) (sin.f64 x))))) (-.f64 (+.f64 15/2 (.f64 6 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1)))) (.f64 3/2 (sqrt.f64 5)))) (.f64 2 (/.f64 1 (-.f64 (+.f64 15/2 (.f64 6 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1)))) (.f64 3/2 (sqrt.f64 5))))))))
(+.f64 (.f64 -1/16 (/.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))) (-.f64 (+.f64 15/2 (.f64 6 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1)))) (.f64 3/2 (sqrt.f64 5))))) (+.f64 (.f64 (pow.f64 y 2) (-.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 -1/32 (pow.f64 (sin.f64 x) 2)) (.f64 -1/16 (-.f64 (cos.f64 x) 1)))) (-.f64 (+.f64 15/2 (.f64 6 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1)))) (.f64 3/2 (sqrt.f64 5)))) (.f64 -1/2 (/.f64 (.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5)))) (pow.f64 (-.f64 (+.f64 15/2 (.f64 6 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1)))) (.f64 3/2 (sqrt.f64 5))) 2))))) (+.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 y (.f64 (-.f64 (cos.f64 x) 1) (+.f64 (.f64 1/256 (sin.f64 x)) (sin.f64 x))))) (-.f64 (+.f64 15/2 (.f64 6 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1)))) (.f64 3/2 (sqrt.f64 5)))) (+.f64 (.f64 2 (/.f64 1 (-.f64 (+.f64 15/2 (.f64 6 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1)))) (.f64 3/2 (sqrt.f64 5))))) (.f64 (pow.f64 y 3) (-.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 1/2 (+.f64 (.f64 1/256 (sin.f64 x)) (sin.f64 x))) (.f64 (+.f64 (.f64 -1/1536 (sin.f64 x)) (.f64 -1/6 (sin.f64 x))) (-.f64 (cos.f64 x) 1)))) (-.f64 (+.f64 15/2 (.f64 6 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1)))) (.f64 3/2 (sqrt.f64 5)))) (.f64 -1/2 (/.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) 1) (.f64 (+.f64 (.f64 1/256 (sin.f64 x)) (sin.f64 x)) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5)))))) (pow.f64 (-.f64 (+.f64 15/2 (.f64 6 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1)))) (*.f64 3/2 (sqrt.f64 5))) 2)))))))))
(/.f64 (+.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x)) (+.f64 (.f64 -1/16 (sin.f64 x)) (sin.f64 y))))) 2) (+.f64 3 (+.f64 (.f64 (cos.f64 y) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5)))) (.f64 6 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1))))))
(/.f64 (+.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x)) (+.f64 (.f64 -1/16 (sin.f64 x)) (sin.f64 y))))) 2) (+.f64 3 (+.f64 (.f64 (cos.f64 y) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5)))) (.f64 6 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1))))))
(/.f64 (+.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x)) (+.f64 (.f64 -1/16 (sin.f64 x)) (sin.f64 y))))) 2) (+.f64 3 (+.f64 (.f64 (cos.f64 y) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5)))) (.f64 6 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1))))))
(/.f64 (+.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x)) (+.f64 (.f64 -1/16 (sin.f64 x)) (sin.f64 y))))) 2) (+.f64 3 (+.f64 (.f64 (cos.f64 y) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5)))) (.f64 6 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1))))))
(/.f64 (+.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x)) (+.f64 (.f64 -1/16 (sin.f64 x)) (sin.f64 y))))) 2) (+.f64 3 (+.f64 (.f64 (cos.f64 y) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5)))) (.f64 6 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1))))))
(/.f64 (+.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x)) (+.f64 (.f64 -1/16 (sin.f64 x)) (sin.f64 y))))) 2) (+.f64 3 (+.f64 (.f64 (cos.f64 y) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5)))) (.f64 6 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1))))))
(/.f64 (+.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x)) (+.f64 (.f64 -1/16 (sin.f64 x)) (sin.f64 y))))) 2) (+.f64 3 (+.f64 (.f64 (cos.f64 y) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5)))) (.f64 6 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1))))))
(/.f64 (+.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x)) (+.f64 (.f64 -1/16 (sin.f64 x)) (sin.f64 y))))) 2) (+.f64 3 (+.f64 (.f64 (cos.f64 y) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5)))) (.f64 6 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1))))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2))))) (+.f64 3 (+.f64 (.f64 6 (/.f64 1 (+.f64 (sqrt.f64 5) 1))) (.f64 (cos.f64 y) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5)))))))
(+.f64 (.f64 -1/16 (/.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2))) (+.f64 3 (+.f64 (.f64 6 (/.f64 1 (+.f64 (sqrt.f64 5) 1))) (.f64 (cos.f64 y) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5)))))))) (+.f64 (.f64 2 (/.f64 1 (+.f64 3 (+.f64 (.f64 6 (/.f64 1 (+.f64 (sqrt.f64 5) 1))) (.f64 (cos.f64 y) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5)))))))) (/.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (.f64 (+.f64 (.f64 1/256 (sin.f64 y)) (sin.f64 y)) x))) (+.f64 3 (+.f64 (.f64 6 (/.f64 1 (+.f64 (sqrt.f64 5) 1))) (.f64 (cos.f64 y) (-.f64 9/2 (*.f64 3/2 (sqrt.f64 5)))))))))
(+.f64 (.f64 -1/16 (/.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2))) (+.f64 3 (+.f64 (.f64 6 (/.f64 1 (+.f64 (sqrt.f64 5) 1))) (.f64 (cos.f64 y) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5)))))))) (+.f64 (.f64 2 (/.f64 1 (+.f64 3 (+.f64 (.f64 6 (/.f64 1 (+.f64 (sqrt.f64 5) 1))) (.f64 (cos.f64 y) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5)))))))) (+.f64 (.f64 (pow.f64 x 2) (-.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 1/32 (pow.f64 (sin.f64 y) 2)) (.f64 -1/16 (-.f64 1 (cos.f64 y))))) (+.f64 3 (+.f64 (.f64 6 (/.f64 1 (+.f64 (sqrt.f64 5) 1))) (.f64 (cos.f64 y) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5))))))) (.f64 -3 (/.f64 (+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2)))) 2) (.f64 (+.f64 (sqrt.f64 5) 1) (pow.f64 (+.f64 3 (+.f64 (.f64 6 (/.f64 1 (+.f64 (sqrt.f64 5) 1))) (.f64 (cos.f64 y) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5)))))) 2)))))) (/.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (.f64 (+.f64 (.f64 1/256 (sin.f64 y)) (sin.f64 y)) x))) (+.f64 3 (+.f64 (.f64 6 (/.f64 1 (+.f64 (sqrt.f64 5) 1))) (.f64 (cos.f64 y) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5))))))))))
(+.f64 (.f64 -1/16 (/.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2))) (+.f64 3 (+.f64 (.f64 6 (/.f64 1 (+.f64 (sqrt.f64 5) 1))) (.f64 (cos.f64 y) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5)))))))) (+.f64 (.f64 2 (/.f64 1 (+.f64 3 (+.f64 (.f64 6 (/.f64 1 (+.f64 (sqrt.f64 5) 1))) (.f64 (cos.f64 y) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5)))))))) (+.f64 (.f64 (pow.f64 x 2) (-.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 1/32 (pow.f64 (sin.f64 y) 2)) (.f64 -1/16 (-.f64 1 (cos.f64 y))))) (+.f64 3 (+.f64 (.f64 6 (/.f64 1 (+.f64 (sqrt.f64 5) 1))) (.f64 (cos.f64 y) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5))))))) (.f64 -3 (/.f64 (+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2)))) 2) (.f64 (+.f64 (sqrt.f64 5) 1) (pow.f64 (+.f64 3 (+.f64 (.f64 6 (/.f64 1 (+.f64 (sqrt.f64 5) 1))) (.f64 (cos.f64 y) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5)))))) 2)))))) (+.f64 (.f64 (-.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 (-.f64 1 (cos.f64 y)) (+.f64 (.f64 -1/1536 (sin.f64 y)) (.f64 -1/6 (sin.f64 y)))) (.f64 -1/2 (+.f64 (.f64 1/256 (sin.f64 y)) (sin.f64 y))))) (+.f64 3 (+.f64 (.f64 6 (/.f64 1 (+.f64 (sqrt.f64 5) 1))) (.f64 (cos.f64 y) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5))))))) (.f64 -3 (/.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (+.f64 (.f64 1/256 (sin.f64 y)) (sin.f64 y)))) (.f64 (+.f64 (sqrt.f64 5) 1) (pow.f64 (+.f64 3 (+.f64 (.f64 6 (/.f64 1 (+.f64 (sqrt.f64 5) 1))) (.f64 (cos.f64 y) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5)))))) 2))))) (pow.f64 x 3)) (/.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (.f64 (+.f64 (.f64 1/256 (sin.f64 y)) (sin.f64 y)) x))) (+.f64 3 (+.f64 (.f64 6 (/.f64 1 (+.f64 (sqrt.f64 5) 1))) (.f64 (cos.f64 y) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5)))))))))))
(/.f64 (+.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x)) (+.f64 (.f64 -1/16 (sin.f64 x)) (sin.f64 y))))) 2) (+.f64 3 (+.f64 (.f64 (cos.f64 y) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5)))) (.f64 6 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1))))))
(/.f64 (+.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x)) (+.f64 (.f64 -1/16 (sin.f64 x)) (sin.f64 y))))) 2) (+.f64 3 (+.f64 (.f64 (cos.f64 y) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5)))) (.f64 6 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1))))))
(/.f64 (+.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x)) (+.f64 (.f64 -1/16 (sin.f64 x)) (sin.f64 y))))) 2) (+.f64 3 (+.f64 (.f64 (cos.f64 y) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5)))) (.f64 6 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1))))))
(/.f64 (+.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x)) (+.f64 (.f64 -1/16 (sin.f64 x)) (sin.f64 y))))) 2) (+.f64 3 (+.f64 (.f64 (cos.f64 y) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5)))) (.f64 6 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1))))))
(/.f64 (+.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x)) (+.f64 (.f64 -1/16 (sin.f64 x)) (sin.f64 y))))) 2) (+.f64 3 (+.f64 (.f64 (cos.f64 y) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5)))) (.f64 6 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1))))))
(/.f64 (+.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x)) (+.f64 (.f64 -1/16 (sin.f64 x)) (sin.f64 y))))) 2) (+.f64 3 (+.f64 (.f64 (cos.f64 y) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5)))) (.f64 6 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1))))))
(/.f64 (+.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x)) (+.f64 (.f64 -1/16 (sin.f64 x)) (sin.f64 y))))) 2) (+.f64 3 (+.f64 (.f64 (cos.f64 y) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5)))) (.f64 6 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1))))))
(/.f64 (+.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x)) (+.f64 (.f64 -1/16 (sin.f64 x)) (sin.f64 y))))) 2) (+.f64 3 (+.f64 (.f64 (cos.f64 y) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5)))) (.f64 6 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1))))))

Outputs
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (.f64 6 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1)))) (*.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1))))) (+.f64 15/2 (-.f64 (.f64 6 (/.f64 (cos.f64 x) (+.f64 1 (sqrt.f64 5)))) (*.f64 (sqrt.f64 5) 3/2))))
(/.f64 (fma.f64 -1/16 (.f64 (pow.f64 (sin.f64 x) 2) (.f64 (sqrt.f64 2) (+.f64 (cos.f64 x) -1))) 2) (+.f64 15/2 (fma.f64 6 (/.f64 (cos.f64 x) (+.f64 1 (sqrt.f64 5))) (*.f64 (sqrt.f64 5) -3/2))))
(/.f64 (fma.f64 (*.f64 (sqrt.f64 2) (pow.f64 (sin.f64 x) 2)) (fma.f64 -1/16 (cos.f64 x) 1/16) 2) (fma.f64 (sqrt.f64 5) -3/2 (fma.f64 6 (/.f64 (cos.f64 x) (+.f64 1 (sqrt.f64 5))) 15/2)))
(+.f64 (.f64 -1/16 (/.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))) (-.f64 (+.f64 15/2 (.f64 6 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1)))) (.f64 3/2 (sqrt.f64 5))))) (+.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 y (.f64 (-.f64 (cos.f64 x) 1) (+.f64 (.f64 1/256 (sin.f64 x)) (sin.f64 x))))) (-.f64 (+.f64 15/2 (.f64 6 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1)))) (.f64 3/2 (sqrt.f64 5)))) (.f64 2 (/.f64 1 (-.f64 (+.f64 15/2 (.f64 6 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1)))) (.f64 3/2 (sqrt.f64 5)))))))
(fma.f64 -1/16 (/.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1))) (+.f64 15/2 (-.f64 (.f64 6 (/.f64 (cos.f64 x) (+.f64 1 (sqrt.f64 5)))) (.f64 (sqrt.f64 5) 3/2)))) (+.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 y (.f64 (+.f64 (cos.f64 x) -1) (.f64 257/256 (sin.f64 x))))) (+.f64 15/2 (-.f64 (.f64 6 (/.f64 (cos.f64 x) (+.f64 1 (sqrt.f64 5)))) (.f64 (sqrt.f64 5) 3/2)))) (/.f64 2 (+.f64 15/2 (-.f64 (.f64 6 (/.f64 (cos.f64 x) (+.f64 1 (sqrt.f64 5)))) (.f64 (sqrt.f64 5) 3/2))))))
(+.f64 (/.f64 2 (+.f64 15/2 (fma.f64 6 (/.f64 (cos.f64 x) (+.f64 1 (sqrt.f64 5))) (.f64 (sqrt.f64 5) -3/2)))) (fma.f64 -1/16 (.f64 (/.f64 (sqrt.f64 2) (+.f64 15/2 (fma.f64 6 (/.f64 (cos.f64 x) (+.f64 1 (sqrt.f64 5))) (.f64 (sqrt.f64 5) -3/2)))) (.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1))) (/.f64 (.f64 (sqrt.f64 2) (.f64 (.f64 (sin.f64 x) 257/256) (.f64 (+.f64 (cos.f64 x) -1) y))) (+.f64 15/2 (fma.f64 6 (/.f64 (cos.f64 x) (+.f64 1 (sqrt.f64 5))) (*.f64 (sqrt.f64 5) -3/2))))))
(+.f64 (.f64 (/.f64 (sqrt.f64 2) (fma.f64 (sqrt.f64 5) -3/2 (fma.f64 6 (/.f64 (cos.f64 x) (+.f64 1 (sqrt.f64 5))) 15/2))) (.f64 (pow.f64 (sin.f64 x) 2) (fma.f64 -1/16 (cos.f64 x) 1/16))) (fma.f64 (/.f64 (sqrt.f64 2) (fma.f64 (sqrt.f64 5) -3/2 (fma.f64 6 (/.f64 (cos.f64 x) (+.f64 1 (sqrt.f64 5))) 15/2))) (.f64 (+.f64 (cos.f64 x) -1) (.f64 (sin.f64 x) (*.f64 257/256 y))) (/.f64 2 (fma.f64 (sqrt.f64 5) -3/2 (fma.f64 6 (/.f64 (cos.f64 x) (+.f64 1 (sqrt.f64 5))) 15/2)))))
(+.f64 (.f64 -1/16 (/.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))) (-.f64 (+.f64 15/2 (.f64 6 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1)))) (.f64 3/2 (sqrt.f64 5))))) (+.f64 (.f64 (pow.f64 y 2) (-.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 -1/32 (pow.f64 (sin.f64 x) 2)) (.f64 -1/16 (-.f64 (cos.f64 x) 1)))) (-.f64 (+.f64 15/2 (.f64 6 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1)))) (.f64 3/2 (sqrt.f64 5)))) (.f64 -1/2 (/.f64 (.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5)))) (pow.f64 (-.f64 (+.f64 15/2 (.f64 6 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1)))) (.f64 3/2 (sqrt.f64 5))) 2))))) (+.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 y (.f64 (-.f64 (cos.f64 x) 1) (+.f64 (.f64 1/256 (sin.f64 x)) (sin.f64 x))))) (-.f64 (+.f64 15/2 (.f64 6 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1)))) (.f64 3/2 (sqrt.f64 5)))) (.f64 2 (/.f64 1 (-.f64 (+.f64 15/2 (.f64 6 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1)))) (.f64 3/2 (sqrt.f64 5))))))))
(fma.f64 -1/16 (/.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1))) (+.f64 15/2 (-.f64 (.f64 6 (/.f64 (cos.f64 x) (+.f64 1 (sqrt.f64 5)))) (.f64 (sqrt.f64 5) 3/2)))) (fma.f64 (.f64 y y) (-.f64 (/.f64 (sqrt.f64 2) (/.f64 (+.f64 15/2 (-.f64 (.f64 6 (/.f64 (cos.f64 x) (+.f64 1 (sqrt.f64 5)))) (.f64 (sqrt.f64 5) 3/2))) (fma.f64 -1/32 (pow.f64 (sin.f64 x) 2) (.f64 -1/16 (+.f64 (cos.f64 x) -1))))) (.f64 -1/2 (/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1))))) (/.f64 (pow.f64 (+.f64 15/2 (-.f64 (.f64 6 (/.f64 (cos.f64 x) (+.f64 1 (sqrt.f64 5)))) (.f64 (sqrt.f64 5) 3/2))) 2) (+.f64 9/2 (.f64 -3/2 (sqrt.f64 5))))))) (+.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 y (.f64 (+.f64 (cos.f64 x) -1) (.f64 257/256 (sin.f64 x))))) (+.f64 15/2 (-.f64 (.f64 6 (/.f64 (cos.f64 x) (+.f64 1 (sqrt.f64 5)))) (.f64 (sqrt.f64 5) 3/2)))) (/.f64 2 (+.f64 15/2 (-.f64 (.f64 6 (/.f64 (cos.f64 x) (+.f64 1 (sqrt.f64 5)))) (*.f64 (sqrt.f64 5) 3/2)))))))
(fma.f64 -1/16 (.f64 (/.f64 (sqrt.f64 2) (+.f64 15/2 (fma.f64 6 (/.f64 (cos.f64 x) (+.f64 1 (sqrt.f64 5))) (.f64 (sqrt.f64 5) -3/2)))) (.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1))) (+.f64 (/.f64 2 (+.f64 15/2 (fma.f64 6 (/.f64 (cos.f64 x) (+.f64 1 (sqrt.f64 5))) (.f64 (sqrt.f64 5) -3/2)))) (fma.f64 (.f64 y y) (+.f64 (/.f64 (.f64 (sqrt.f64 2) (fma.f64 -1/16 (+.f64 (cos.f64 x) -1) (.f64 (pow.f64 (sin.f64 x) 2) -1/32))) (+.f64 15/2 (fma.f64 6 (/.f64 (cos.f64 x) (+.f64 1 (sqrt.f64 5))) (.f64 (sqrt.f64 5) -3/2)))) (/.f64 (.f64 1/2 (.f64 (fma.f64 -1/16 (.f64 (pow.f64 (sin.f64 x) 2) (.f64 (sqrt.f64 2) (+.f64 (cos.f64 x) -1))) 2) (+.f64 9/2 (.f64 (sqrt.f64 5) -3/2)))) (pow.f64 (+.f64 15/2 (fma.f64 6 (/.f64 (cos.f64 x) (+.f64 1 (sqrt.f64 5))) (.f64 (sqrt.f64 5) -3/2))) 2))) (/.f64 (.f64 (sqrt.f64 2) (.f64 (.f64 (sin.f64 x) 257/256) (.f64 (+.f64 (cos.f64 x) -1) y))) (+.f64 15/2 (fma.f64 6 (/.f64 (cos.f64 x) (+.f64 1 (sqrt.f64 5))) (*.f64 (sqrt.f64 5) -3/2)))))))
(+.f64 (.f64 (/.f64 (sqrt.f64 2) (fma.f64 (sqrt.f64 5) -3/2 (fma.f64 6 (/.f64 (cos.f64 x) (+.f64 1 (sqrt.f64 5))) 15/2))) (.f64 (pow.f64 (sin.f64 x) 2) (fma.f64 -1/16 (cos.f64 x) 1/16))) (fma.f64 y (.f64 y (fma.f64 (.f64 (/.f64 (fma.f64 (.f64 (sqrt.f64 2) (pow.f64 (sin.f64 x) 2)) (fma.f64 -1/16 (cos.f64 x) 1/16) 2) (pow.f64 (fma.f64 (sqrt.f64 5) -3/2 (fma.f64 6 (/.f64 (cos.f64 x) (+.f64 1 (sqrt.f64 5))) 15/2)) 2)) (fma.f64 (sqrt.f64 5) -3/2 9/2)) 1/2 (.f64 (/.f64 (sqrt.f64 2) (fma.f64 (sqrt.f64 5) -3/2 (fma.f64 6 (/.f64 (cos.f64 x) (+.f64 1 (sqrt.f64 5))) 15/2))) (fma.f64 (pow.f64 (sin.f64 x) 2) -1/32 (fma.f64 -1/16 (cos.f64 x) 1/16))))) (fma.f64 (/.f64 (sqrt.f64 2) (fma.f64 (sqrt.f64 5) -3/2 (fma.f64 6 (/.f64 (cos.f64 x) (+.f64 1 (sqrt.f64 5))) 15/2))) (.f64 (+.f64 (cos.f64 x) -1) (.f64 (sin.f64 x) (*.f64 257/256 y))) (/.f64 2 (fma.f64 (sqrt.f64 5) -3/2 (fma.f64 6 (/.f64 (cos.f64 x) (+.f64 1 (sqrt.f64 5))) 15/2))))))
(+.f64 (.f64 -1/16 (/.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))) (-.f64 (+.f64 15/2 (.f64 6 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1)))) (.f64 3/2 (sqrt.f64 5))))) (+.f64 (.f64 (pow.f64 y 2) (-.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 -1/32 (pow.f64 (sin.f64 x) 2)) (.f64 -1/16 (-.f64 (cos.f64 x) 1)))) (-.f64 (+.f64 15/2 (.f64 6 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1)))) (.f64 3/2 (sqrt.f64 5)))) (.f64 -1/2 (/.f64 (.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5)))) (pow.f64 (-.f64 (+.f64 15/2 (.f64 6 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1)))) (.f64 3/2 (sqrt.f64 5))) 2))))) (+.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 y (.f64 (-.f64 (cos.f64 x) 1) (+.f64 (.f64 1/256 (sin.f64 x)) (sin.f64 x))))) (-.f64 (+.f64 15/2 (.f64 6 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1)))) (.f64 3/2 (sqrt.f64 5)))) (+.f64 (.f64 2 (/.f64 1 (-.f64 (+.f64 15/2 (.f64 6 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1)))) (.f64 3/2 (sqrt.f64 5))))) (.f64 (pow.f64 y 3) (-.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 1/2 (+.f64 (.f64 1/256 (sin.f64 x)) (sin.f64 x))) (.f64 (+.f64 (.f64 -1/1536 (sin.f64 x)) (.f64 -1/6 (sin.f64 x))) (-.f64 (cos.f64 x) 1)))) (-.f64 (+.f64 15/2 (.f64 6 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1)))) (.f64 3/2 (sqrt.f64 5)))) (.f64 -1/2 (/.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) 1) (.f64 (+.f64 (.f64 1/256 (sin.f64 x)) (sin.f64 x)) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5)))))) (pow.f64 (-.f64 (+.f64 15/2 (.f64 6 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1)))) (*.f64 3/2 (sqrt.f64 5))) 2)))))))))
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(/.f64 (fma.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)) (fma.f64 -1/16 (sin.f64 x) (sin.f64 y)))) 2) (+.f64 3 (fma.f64 (cos.f64 y) (+.f64 9/2 (.f64 -3/2 (sqrt.f64 5))) (.f64 6 (/.f64 (cos.f64 x) (+.f64 1 (sqrt.f64 5)))))))
(/.f64 (fma.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)) (fma.f64 -1/16 (sin.f64 x) (sin.f64 y)))) 2) (+.f64 3 (fma.f64 6 (/.f64 (cos.f64 x) (+.f64 1 (sqrt.f64 5))) (.f64 (+.f64 9/2 (.f64 (sqrt.f64 5) -3/2)) (cos.f64 y)))))
(/.f64 (fma.f64 (sqrt.f64 2) (.f64 (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)) (.f64 (fma.f64 -1/16 (sin.f64 x) (sin.f64 y)) (-.f64 (cos.f64 x) (cos.f64 y)))) 2) (fma.f64 6 (/.f64 (cos.f64 x) (+.f64 1 (sqrt.f64 5))) (fma.f64 (fma.f64 (sqrt.f64 5) -3/2 9/2) (cos.f64 y) 3)))
(/.f64 (+.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x)) (+.f64 (.f64 -1/16 (sin.f64 x)) (sin.f64 y))))) 2) (+.f64 3 (+.f64 (.f64 (cos.f64 y) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5)))) (.f64 6 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1))))))
(/.f64 (fma.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)) (fma.f64 -1/16 (sin.f64 x) (sin.f64 y)))) 2) (+.f64 3 (fma.f64 (cos.f64 y) (+.f64 9/2 (.f64 -3/2 (sqrt.f64 5))) (.f64 6 (/.f64 (cos.f64 x) (+.f64 1 (sqrt.f64 5)))))))
(/.f64 (fma.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)) (fma.f64 -1/16 (sin.f64 x) (sin.f64 y)))) 2) (+.f64 3 (fma.f64 6 (/.f64 (cos.f64 x) (+.f64 1 (sqrt.f64 5))) (.f64 (+.f64 9/2 (.f64 (sqrt.f64 5) -3/2)) (cos.f64 y)))))
(/.f64 (fma.f64 (sqrt.f64 2) (.f64 (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)) (.f64 (fma.f64 -1/16 (sin.f64 x) (sin.f64 y)) (-.f64 (cos.f64 x) (cos.f64 y)))) 2) (fma.f64 6 (/.f64 (cos.f64 x) (+.f64 1 (sqrt.f64 5))) (fma.f64 (fma.f64 (sqrt.f64 5) -3/2 9/2) (cos.f64 y) 3)))
(/.f64 (+.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x)) (+.f64 (.f64 -1/16 (sin.f64 x)) (sin.f64 y))))) 2) (+.f64 3 (+.f64 (.f64 (cos.f64 y) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5)))) (.f64 6 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1))))))
(/.f64 (fma.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)) (fma.f64 -1/16 (sin.f64 x) (sin.f64 y)))) 2) (+.f64 3 (fma.f64 (cos.f64 y) (+.f64 9/2 (.f64 -3/2 (sqrt.f64 5))) (.f64 6 (/.f64 (cos.f64 x) (+.f64 1 (sqrt.f64 5)))))))
(/.f64 (fma.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)) (fma.f64 -1/16 (sin.f64 x) (sin.f64 y)))) 2) (+.f64 3 (fma.f64 6 (/.f64 (cos.f64 x) (+.f64 1 (sqrt.f64 5))) (.f64 (+.f64 9/2 (.f64 (sqrt.f64 5) -3/2)) (cos.f64 y)))))
(/.f64 (fma.f64 (sqrt.f64 2) (.f64 (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)) (.f64 (fma.f64 -1/16 (sin.f64 x) (sin.f64 y)) (-.f64 (cos.f64 x) (cos.f64 y)))) 2) (fma.f64 6 (/.f64 (cos.f64 x) (+.f64 1 (sqrt.f64 5))) (fma.f64 (fma.f64 (sqrt.f64 5) -3/2 9/2) (cos.f64 y) 3)))
(/.f64 (+.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x)) (+.f64 (.f64 -1/16 (sin.f64 x)) (sin.f64 y))))) 2) (+.f64 3 (+.f64 (.f64 (cos.f64 y) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5)))) (.f64 6 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1))))))
(/.f64 (fma.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)) (fma.f64 -1/16 (sin.f64 x) (sin.f64 y)))) 2) (+.f64 3 (fma.f64 (cos.f64 y) (+.f64 9/2 (.f64 -3/2 (sqrt.f64 5))) (.f64 6 (/.f64 (cos.f64 x) (+.f64 1 (sqrt.f64 5)))))))
(/.f64 (fma.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)) (fma.f64 -1/16 (sin.f64 x) (sin.f64 y)))) 2) (+.f64 3 (fma.f64 6 (/.f64 (cos.f64 x) (+.f64 1 (sqrt.f64 5))) (.f64 (+.f64 9/2 (.f64 (sqrt.f64 5) -3/2)) (cos.f64 y)))))
(/.f64 (fma.f64 (sqrt.f64 2) (.f64 (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)) (.f64 (fma.f64 -1/16 (sin.f64 x) (sin.f64 y)) (-.f64 (cos.f64 x) (cos.f64 y)))) 2) (fma.f64 6 (/.f64 (cos.f64 x) (+.f64 1 (sqrt.f64 5))) (fma.f64 (fma.f64 (sqrt.f64 5) -3/2 9/2) (cos.f64 y) 3)))
(/.f64 (+.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x)) (+.f64 (.f64 -1/16 (sin.f64 x)) (sin.f64 y))))) 2) (+.f64 3 (+.f64 (.f64 (cos.f64 y) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5)))) (.f64 6 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1))))))
(/.f64 (fma.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)) (fma.f64 -1/16 (sin.f64 x) (sin.f64 y)))) 2) (+.f64 3 (fma.f64 (cos.f64 y) (+.f64 9/2 (.f64 -3/2 (sqrt.f64 5))) (.f64 6 (/.f64 (cos.f64 x) (+.f64 1 (sqrt.f64 5)))))))
(/.f64 (fma.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)) (fma.f64 -1/16 (sin.f64 x) (sin.f64 y)))) 2) (+.f64 3 (fma.f64 6 (/.f64 (cos.f64 x) (+.f64 1 (sqrt.f64 5))) (.f64 (+.f64 9/2 (.f64 (sqrt.f64 5) -3/2)) (cos.f64 y)))))
(/.f64 (fma.f64 (sqrt.f64 2) (.f64 (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)) (.f64 (fma.f64 -1/16 (sin.f64 x) (sin.f64 y)) (-.f64 (cos.f64 x) (cos.f64 y)))) 2) (fma.f64 6 (/.f64 (cos.f64 x) (+.f64 1 (sqrt.f64 5))) (fma.f64 (fma.f64 (sqrt.f64 5) -3/2 9/2) (cos.f64 y) 3)))
(/.f64 (+.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x)) (+.f64 (.f64 -1/16 (sin.f64 x)) (sin.f64 y))))) 2) (+.f64 3 (+.f64 (.f64 (cos.f64 y) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5)))) (.f64 6 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1))))))
(/.f64 (fma.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)) (fma.f64 -1/16 (sin.f64 x) (sin.f64 y)))) 2) (+.f64 3 (fma.f64 (cos.f64 y) (+.f64 9/2 (.f64 -3/2 (sqrt.f64 5))) (.f64 6 (/.f64 (cos.f64 x) (+.f64 1 (sqrt.f64 5)))))))
(/.f64 (fma.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)) (fma.f64 -1/16 (sin.f64 x) (sin.f64 y)))) 2) (+.f64 3 (fma.f64 6 (/.f64 (cos.f64 x) (+.f64 1 (sqrt.f64 5))) (.f64 (+.f64 9/2 (.f64 (sqrt.f64 5) -3/2)) (cos.f64 y)))))
(/.f64 (fma.f64 (sqrt.f64 2) (.f64 (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)) (.f64 (fma.f64 -1/16 (sin.f64 x) (sin.f64 y)) (-.f64 (cos.f64 x) (cos.f64 y)))) 2) (fma.f64 6 (/.f64 (cos.f64 x) (+.f64 1 (sqrt.f64 5))) (fma.f64 (fma.f64 (sqrt.f64 5) -3/2 9/2) (cos.f64 y) 3)))
(/.f64 (+.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x)) (+.f64 (.f64 -1/16 (sin.f64 x)) (sin.f64 y))))) 2) (+.f64 3 (+.f64 (.f64 (cos.f64 y) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5)))) (.f64 6 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1))))))
(/.f64 (fma.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)) (fma.f64 -1/16 (sin.f64 x) (sin.f64 y)))) 2) (+.f64 3 (fma.f64 (cos.f64 y) (+.f64 9/2 (.f64 -3/2 (sqrt.f64 5))) (.f64 6 (/.f64 (cos.f64 x) (+.f64 1 (sqrt.f64 5)))))))
(/.f64 (fma.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)) (fma.f64 -1/16 (sin.f64 x) (sin.f64 y)))) 2) (+.f64 3 (fma.f64 6 (/.f64 (cos.f64 x) (+.f64 1 (sqrt.f64 5))) (.f64 (+.f64 9/2 (.f64 (sqrt.f64 5) -3/2)) (cos.f64 y)))))
(/.f64 (fma.f64 (sqrt.f64 2) (.f64 (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)) (.f64 (fma.f64 -1/16 (sin.f64 x) (sin.f64 y)) (-.f64 (cos.f64 x) (cos.f64 y)))) 2) (fma.f64 6 (/.f64 (cos.f64 x) (+.f64 1 (sqrt.f64 5))) (fma.f64 (fma.f64 (sqrt.f64 5) -3/2 9/2) (cos.f64 y) 3)))

localize267.0ms (0.8%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.3b	(*.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))
✓	0.4b	(*.f64 (sqrt.f64 2) (sin.f64 x))
	1.0b	(-.f64 3 (sqrt.f64 5))
	1.4b	(-.f64 (cos.f64 x) (cos.f64 y))

Compiler

Compiled 233 to 158 computations (32.2% saved)

series2.0ms (0%)

Counts

1 → 4

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(*.f64 (sqrt.f64 2) (sin.f64 x))
0.0ms	x	@	-inf	(*.f64 (sqrt.f64 2) (sin.f64 x))
0.0ms	x	@	inf	(*.f64 (sqrt.f64 2) (sin.f64 x))

rewrite49.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

512×	`pow1_binary64`
493×	`add-sqr-sqrt_binary64`
472×	`add-log-exp_binary64`
472×	`log1p-expm1-u_binary64`
472×	`expm1-log1p-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	8
1	119	8
2	1299	8

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

Inputs
(*.f64 (sqrt.f64 2) (sin.f64 x))

Outputs

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

simplify115.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1126×	`fma-def_binary64`
690×	`unswap-sqr_binary64`
654×	`sqr-pow_binary64`
596×	`cube-prod_binary64`
427×	`fabs-mul_binary64`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	25	96
1	69	96
2	180	86
3	537	70
4	1487	68
5	2368	66
6	2647	66
7	3187	66
8	4118	66
9	4261	66
10	4488	66
11	4874	66
12	5470	66
13	6343	66
14	7450	66

Stop Event

1×	node limit

Counts

15 → 18

Calls

Call 1

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

Outputs
(*.f64 (sqrt.f64 2) x)
(+.f64 (.f64 -1/6 (.f64 (sqrt.f64 2) (pow.f64 x 3))) (*.f64 (sqrt.f64 2) x))
(fma.f64 -1/6 (.f64 (sqrt.f64 2) (pow.f64 x 3)) (.f64 (sqrt.f64 2) x))
(fma.f64 (sqrt.f64 2) x (.f64 -1/6 (.f64 (sqrt.f64 2) (pow.f64 x 3))))
(.f64 (sqrt.f64 2) (+.f64 x (.f64 -1/6 (pow.f64 x 3))))
(*.f64 (sqrt.f64 2) (fma.f64 -1/6 (pow.f64 x 3) x))
(+.f64 (.f64 -1/6 (.f64 (sqrt.f64 2) (pow.f64 x 3))) (+.f64 (.f64 1/120 (.f64 (sqrt.f64 2) (pow.f64 x 5))) (*.f64 (sqrt.f64 2) x)))
(fma.f64 -1/6 (.f64 (sqrt.f64 2) (pow.f64 x 3)) (fma.f64 1/120 (.f64 (sqrt.f64 2) (pow.f64 x 5)) (*.f64 (sqrt.f64 2) x)))
(fma.f64 -1/6 (.f64 (sqrt.f64 2) (pow.f64 x 3)) (fma.f64 (sqrt.f64 2) x (.f64 (sqrt.f64 2) (*.f64 (pow.f64 x 5) 1/120))))
(fma.f64 (sqrt.f64 2) (.f64 -1/6 (pow.f64 x 3)) (.f64 (sqrt.f64 2) (+.f64 x (*.f64 1/120 (pow.f64 x 5)))))
(.f64 (sqrt.f64 2) (+.f64 (.f64 -1/6 (pow.f64 x 3)) (fma.f64 1/120 (pow.f64 x 5) x)))
(*.f64 (sqrt.f64 2) (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 1/120 (pow.f64 x 5) x)))
(+.f64 (.f64 -1/6 (.f64 (sqrt.f64 2) (pow.f64 x 3))) (+.f64 (.f64 -1/5040 (.f64 (sqrt.f64 2) (pow.f64 x 7))) (+.f64 (.f64 1/120 (.f64 (sqrt.f64 2) (pow.f64 x 5))) (*.f64 (sqrt.f64 2) x))))
(fma.f64 -1/6 (.f64 (sqrt.f64 2) (pow.f64 x 3)) (fma.f64 -1/5040 (.f64 (sqrt.f64 2) (pow.f64 x 7)) (fma.f64 1/120 (.f64 (sqrt.f64 2) (pow.f64 x 5)) (.f64 (sqrt.f64 2) x))))
(fma.f64 -1/6 (.f64 (sqrt.f64 2) (pow.f64 x 3)) (fma.f64 -1/5040 (.f64 (sqrt.f64 2) (pow.f64 x 7)) (fma.f64 (sqrt.f64 2) x (.f64 (sqrt.f64 2) (.f64 (pow.f64 x 5) 1/120)))))
(+.f64 (.f64 (sqrt.f64 2) (+.f64 x (.f64 -1/6 (pow.f64 x 3)))) (.f64 (sqrt.f64 2) (+.f64 (.f64 1/120 (pow.f64 x 5)) (*.f64 -1/5040 (pow.f64 x 7)))))
(.f64 (sqrt.f64 2) (+.f64 (fma.f64 1/120 (pow.f64 x 5) x) (fma.f64 -1/5040 (pow.f64 x 7) (.f64 -1/6 (pow.f64 x 3)))))
(.f64 (sqrt.f64 2) (+.f64 (.f64 -1/6 (pow.f64 x 3)) (fma.f64 -1/5040 (pow.f64 x 7) (fma.f64 1/120 (pow.f64 x 5) x))))
(*.f64 (sqrt.f64 2) (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 -1/5040 (pow.f64 x 7) (fma.f64 1/120 (pow.f64 x 5) x))))

localize167.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(.f64 (.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16)))
	0.3b	(*.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))
	0.4b	(*.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)))
	1.4b	(-.f64 (cos.f64 x) (cos.f64 y))

Compiler

Compiled 286 to 195 computations (31.8% saved)

series6.0ms (0%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(.f64 (.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16)))
1.0ms	x	@	-inf	(.f64 (.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16)))
1.0ms	y	@	inf	(.f64 (.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16)))
1.0ms	y	@	-inf	(.f64 (.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16)))
1.0ms	x	@	0	(.f64 (.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16)))

rewrite80.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

757×	`log-prod_binary64`
405×	`fma-def_binary64`
281×	`expm1-udef_binary64`
281×	`log1p-udef_binary64`
259×	`pow3_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	14	29
1	315	29
2	4307	25

Stop Event

1×	node limit

Counts

1 → 26

Calls

Call 1

Inputs
(.f64 (.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (sqrt.f64 2) (*.f64 (fma.f64 (sin.f64 y) -1/16 (sin.f64 x)) (fma.f64 (sin.f64 x) -1/16 (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 y) (*.f64 (sqrt.f64 2) (fma.f64 (sin.f64 y) -1/16 (sin.f64 x)))) (*.f64 (*.f64 (sin.f64 x) -1/16) (*.f64 (sqrt.f64 2) (fma.f64 (sin.f64 y) -1/16 (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (sqrt.f64 2) (fma.f64 (sin.f64 y) -1/16 (sin.f64 x))) (sin.f64 y)) (*.f64 (*.f64 (sqrt.f64 2) (fma.f64 (sin.f64 y) -1/16 (sin.f64 x))) (*.f64 (sin.f64 x) -1/16)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 2)) (*.f64 (fma.f64 (sin.f64 y) -1/16 (sin.f64 x)) (fma.f64 (sin.f64 x) -1/16 (sin.f64 y))))) (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 2)) (*.f64 (fma.f64 (sin.f64 y) -1/16 (sin.f64 x)) (fma.f64 (sin.f64 x) -1/16 (sin.f64 y))))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 2)) (*.f64 (fma.f64 (sin.f64 y) -1/16 (sin.f64 x)) (fma.f64 (sin.f64 x) -1/16 (sin.f64 y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 2)) (*.f64 (fma.f64 (sin.f64 y) -1/16 (sin.f64 x)) (fma.f64 (sin.f64 x) -1/16 (sin.f64 y)))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 2)) (*.f64 (fma.f64 (sin.f64 y) -1/16 (sin.f64 x)) (fma.f64 (sin.f64 x) -1/16 (sin.f64 y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 2) (*.f64 (fma.f64 (sin.f64 y) -1/16 (sin.f64 x)) (fma.f64 (sin.f64 x) -1/16 (sin.f64 y)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 (sin.f64 y) 3) (*.f64 (pow.f64 (sin.f64 x) 3) 1/4096)) (*.f64 (sqrt.f64 2) (fma.f64 (sin.f64 y) -1/16 (sin.f64 x)))) (fma.f64 (*.f64 (sin.f64 x) 1/16) (fma.f64 (sin.f64 x) 1/16 (sin.f64 y)) (pow.f64 (sin.f64 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 (sin.f64 y) 2) (*.f64 (pow.f64 (sin.f64 x) 2) 1/256)) (*.f64 (sqrt.f64 2) (fma.f64 (sin.f64 y) -1/16 (sin.f64 x)))) (fma.f64 (sin.f64 x) 1/16 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (sqrt.f64 2) (fma.f64 (sin.f64 y) -1/16 (sin.f64 x))) (-.f64 (pow.f64 (sin.f64 y) 3) (*.f64 (pow.f64 (sin.f64 x) 3) 1/4096))) (fma.f64 (*.f64 (sin.f64 x) 1/16) (fma.f64 (sin.f64 x) 1/16 (sin.f64 y)) (pow.f64 (sin.f64 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (sqrt.f64 2) (fma.f64 (sin.f64 y) -1/16 (sin.f64 x))) (-.f64 (pow.f64 (sin.f64 y) 2) (*.f64 (pow.f64 (sin.f64 x) 2) 1/256))) (fma.f64 (sin.f64 x) 1/16 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 2) (*.f64 (fma.f64 (sin.f64 y) -1/16 (sin.f64 x)) (fma.f64 (sin.f64 x) -1/16 (sin.f64 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sqrt.f64 2) (*.f64 (fma.f64 (sin.f64 y) -1/16 (sin.f64 x)) (fma.f64 (sin.f64 x) -1/16 (sin.f64 y)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 2) (*.f64 (fma.f64 (sin.f64 y) -1/16 (sin.f64 x)) (fma.f64 (sin.f64 x) -1/16 (sin.f64 y))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 2) (*.f64 (fma.f64 (sin.f64 y) -1/16 (sin.f64 x)) (fma.f64 (sin.f64 x) -1/16 (sin.f64 y))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (sqrt.f64 2) (*.f64 (fma.f64 (sin.f64 y) -1/16 (sin.f64 x)) (fma.f64 (sin.f64 x) -1/16 (sin.f64 y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (sqrt.f64 2)) (*.f64 (fma.f64 (sin.f64 y) -1/16 (sin.f64 x)) (fma.f64 (sin.f64 x) -1/16 (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (sqrt.f64 2) (*.f64 (fma.f64 (sin.f64 y) -1/16 (sin.f64 x)) (fma.f64 (sin.f64 x) -1/16 (sin.f64 y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 2) (*.f64 (fma.f64 (sin.f64 y) -1/16 (sin.f64 x)) (fma.f64 (sin.f64 x) -1/16 (sin.f64 y)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 (sqrt.f64 2) (fma.f64 (sin.f64 y) -1/16 (sin.f64 x))) 3) (pow.f64 (fma.f64 (sin.f64 x) -1/16 (sin.f64 y)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (fma.f64 (sin.f64 x) -1/16 (sin.f64 y)) 3) (pow.f64 (*.f64 (sqrt.f64 2) (fma.f64 (sin.f64 y) -1/16 (sin.f64 x))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 2) (*.f64 (fma.f64 (sin.f64 y) -1/16 (sin.f64 x)) (fma.f64 (sin.f64 x) -1/16 (sin.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 2) (*.f64 (fma.f64 (sin.f64 y) -1/16 (sin.f64 x)) (fma.f64 (sin.f64 x) -1/16 (sin.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sqrt.f64 2) (*.f64 (fma.f64 (sin.f64 y) -1/16 (sin.f64 x)) (fma.f64 (sin.f64 x) -1/16 (sin.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 2) (*.f64 (fma.f64 (sin.f64 y) -1/16 (sin.f64 x)) (fma.f64 (sin.f64 x) -1/16 (sin.f64 y))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sin.f64 y) (*.f64 (sqrt.f64 2) (fma.f64 (sin.f64 y) -1/16 (sin.f64 x))) (*.f64 (*.f64 (sin.f64 x) -1/16) (*.f64 (sqrt.f64 2) (fma.f64 (sin.f64 y) -1/16 (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 2) (fma.f64 (sin.f64 y) -1/16 (sin.f64 x))) (sin.f64 y) (*.f64 (*.f64 (sqrt.f64 2) (fma.f64 (sin.f64 y) -1/16 (sin.f64 x))) (*.f64 (sin.f64 x) -1/16)))))))

simplify215.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

988×	`unsub-neg_binary64`
459×	`associate-+l+_binary64`
409×	`associate-+r+_binary64`
406×	`distribute-lft-out_binary64`
380×	`fma-def_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	61	739
1	193	729
2	634	639
3	2922	612
4	6480	612

Stop Event

1×	node limit

Counts

50 → 45

Calls

Call 1

Inputs
(.f64 -1/16 (.f64 (sqrt.f64 2) (pow.f64 (sin.f64 y) 2)))
(+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) (pow.f64 (sin.f64 y) 2))) (.f64 (sqrt.f64 2) (.f64 (+.f64 (*.f64 1/256 (sin.f64 y)) (sin.f64 y)) x)))
(+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) (pow.f64 x 2))) (+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) (pow.f64 (sin.f64 y) 2))) (.f64 (sqrt.f64 2) (.f64 (+.f64 (*.f64 1/256 (sin.f64 y)) (sin.f64 y)) x))))
(+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) (pow.f64 x 2))) (+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) (pow.f64 (sin.f64 y) 2))) (+.f64 (.f64 (sqrt.f64 2) (.f64 (+.f64 (.f64 -1/1536 (sin.f64 y)) (.f64 -1/6 (sin.f64 y))) (pow.f64 x 3))) (.f64 (sqrt.f64 2) (.f64 (+.f64 (*.f64 1/256 (sin.f64 y)) (sin.f64 y)) x)))))
(.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))) (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x)))))
(.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))) (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x)))))
(.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))) (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x)))))
(.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))) (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x)))))
(.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x))) (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y)))))
(.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x))) (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y)))))
(.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x))) (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y)))))
(.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x))) (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y)))))
(.f64 -1/16 (.f64 (sqrt.f64 2) (pow.f64 (sin.f64 x) 2)))
(+.f64 (.f64 (sqrt.f64 2) (.f64 y (+.f64 (.f64 1/256 (sin.f64 x)) (sin.f64 x)))) (.f64 -1/16 (*.f64 (sqrt.f64 2) (pow.f64 (sin.f64 x) 2))))
(+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) (pow.f64 y 2))) (+.f64 (.f64 (sqrt.f64 2) (.f64 y (+.f64 (.f64 1/256 (sin.f64 x)) (sin.f64 x)))) (.f64 -1/16 (*.f64 (sqrt.f64 2) (pow.f64 (sin.f64 x) 2)))))
(+.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 y 3) (+.f64 (.f64 -1/1536 (sin.f64 x)) (.f64 -1/6 (sin.f64 x))))) (+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) (pow.f64 y 2))) (+.f64 (.f64 (sqrt.f64 2) (.f64 y (+.f64 (.f64 1/256 (sin.f64 x)) (sin.f64 x)))) (.f64 -1/16 (*.f64 (sqrt.f64 2) (pow.f64 (sin.f64 x) 2))))))
(.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))) (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x)))))
(.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))) (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x)))))
(.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))) (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x)))))
(.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))) (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x)))))
(.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x))) (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y)))))
(.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x))) (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y)))))
(.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x))) (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y)))))
(.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x))) (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y)))))

Outputs
(.f64 -1/16 (.f64 (sqrt.f64 2) (pow.f64 (sin.f64 y) 2)))
(.f64 (sqrt.f64 2) (.f64 -1/16 (pow.f64 (sin.f64 y) 2)))
(+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) (pow.f64 (sin.f64 y) 2))) (.f64 (sqrt.f64 2) (.f64 (+.f64 (*.f64 1/256 (sin.f64 y)) (sin.f64 y)) x)))
(fma.f64 -1/16 (.f64 (sqrt.f64 2) (pow.f64 (sin.f64 y) 2)) (.f64 (sqrt.f64 2) (.f64 (.f64 257/256 (sin.f64 y)) x)))
(fma.f64 -1/16 (.f64 (sqrt.f64 2) (pow.f64 (sin.f64 y) 2)) (.f64 (sqrt.f64 2) (.f64 (.f64 (sin.f64 y) 257/256) x)))
(.f64 (sqrt.f64 2) (+.f64 (.f64 -1/16 (pow.f64 (sin.f64 y) 2)) (.f64 (sin.f64 y) (.f64 x 257/256))))
(.f64 (.f64 (sqrt.f64 2) (sin.f64 y)) (+.f64 (.f64 x 257/256) (.f64 -1/16 (sin.f64 y))))
(+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) (pow.f64 x 2))) (+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) (pow.f64 (sin.f64 y) 2))) (.f64 (sqrt.f64 2) (.f64 (+.f64 (*.f64 1/256 (sin.f64 y)) (sin.f64 y)) x))))
(fma.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 x x)) (fma.f64 -1/16 (.f64 (sqrt.f64 2) (pow.f64 (sin.f64 y) 2)) (.f64 (sqrt.f64 2) (.f64 (.f64 257/256 (sin.f64 y)) x))))
(+.f64 (.f64 (sqrt.f64 2) (.f64 (.f64 (sin.f64 y) 257/256) x)) (.f64 (.f64 -1/16 (sqrt.f64 2)) (+.f64 (.f64 x x) (pow.f64 (sin.f64 y) 2))))
(fma.f64 -1/16 (.f64 (sqrt.f64 2) (fma.f64 x x (pow.f64 (sin.f64 y) 2))) (.f64 (sqrt.f64 2) (.f64 (sin.f64 y) (.f64 x 257/256))))
(.f64 (sqrt.f64 2) (+.f64 (.f64 (sin.f64 y) (.f64 x 257/256)) (.f64 -1/16 (fma.f64 x x (pow.f64 (sin.f64 y) 2)))))
(+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) (pow.f64 x 2))) (+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) (pow.f64 (sin.f64 y) 2))) (+.f64 (.f64 (sqrt.f64 2) (.f64 (+.f64 (.f64 -1/1536 (sin.f64 y)) (.f64 -1/6 (sin.f64 y))) (pow.f64 x 3))) (.f64 (sqrt.f64 2) (.f64 (+.f64 (*.f64 1/256 (sin.f64 y)) (sin.f64 y)) x)))))
(fma.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 x x)) (fma.f64 -1/16 (.f64 (sqrt.f64 2) (pow.f64 (sin.f64 y) 2)) (.f64 (sqrt.f64 2) (+.f64 (.f64 (.f64 (sin.f64 y) -257/1536) (pow.f64 x 3)) (.f64 (.f64 257/256 (sin.f64 y)) x)))))
(+.f64 (.f64 (sqrt.f64 2) (fma.f64 (.f64 (sin.f64 y) -257/1536) (pow.f64 x 3) (.f64 (.f64 (sin.f64 y) 257/256) x))) (.f64 (.f64 -1/16 (sqrt.f64 2)) (+.f64 (*.f64 x x) (pow.f64 (sin.f64 y) 2))))
(fma.f64 -1/16 (.f64 (sqrt.f64 2) (fma.f64 x x (pow.f64 (sin.f64 y) 2))) (.f64 (sqrt.f64 2) (fma.f64 (.f64 (sin.f64 y) 257/256) x (.f64 (*.f64 (sin.f64 y) -257/1536) (pow.f64 x 3)))))
(.f64 (sqrt.f64 2) (+.f64 (.f64 (sin.f64 y) (+.f64 (.f64 (pow.f64 x 3) -257/1536) (.f64 x 257/256))) (*.f64 -1/16 (fma.f64 x x (pow.f64 (sin.f64 y) 2)))))
(.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))) (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x)))))
(.f64 (sqrt.f64 2) (.f64 (+.f64 (sin.f64 x) (.f64 -1/16 (sin.f64 y))) (+.f64 (sin.f64 y) (.f64 -1/16 (sin.f64 x)))))
(.f64 (sqrt.f64 2) (.f64 (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)) (fma.f64 -1/16 (sin.f64 x) (sin.f64 y))))
(.f64 (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)) (.f64 (sqrt.f64 2) (fma.f64 -1/16 (sin.f64 x) (sin.f64 y))))
(.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))) (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x)))))
(.f64 (sqrt.f64 2) (.f64 (+.f64 (sin.f64 x) (.f64 -1/16 (sin.f64 y))) (+.f64 (sin.f64 y) (.f64 -1/16 (sin.f64 x)))))
(.f64 (sqrt.f64 2) (.f64 (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)) (fma.f64 -1/16 (sin.f64 x) (sin.f64 y))))
(.f64 (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)) (.f64 (sqrt.f64 2) (fma.f64 -1/16 (sin.f64 x) (sin.f64 y))))
(.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))) (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x)))))
(.f64 (sqrt.f64 2) (.f64 (+.f64 (sin.f64 x) (.f64 -1/16 (sin.f64 y))) (+.f64 (sin.f64 y) (.f64 -1/16 (sin.f64 x)))))
(.f64 (sqrt.f64 2) (.f64 (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)) (fma.f64 -1/16 (sin.f64 x) (sin.f64 y))))
(.f64 (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)) (.f64 (sqrt.f64 2) (fma.f64 -1/16 (sin.f64 x) (sin.f64 y))))
(.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))) (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x)))))
(.f64 (sqrt.f64 2) (.f64 (+.f64 (sin.f64 x) (.f64 -1/16 (sin.f64 y))) (+.f64 (sin.f64 y) (.f64 -1/16 (sin.f64 x)))))
(.f64 (sqrt.f64 2) (.f64 (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)) (fma.f64 -1/16 (sin.f64 x) (sin.f64 y))))
(.f64 (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)) (.f64 (sqrt.f64 2) (fma.f64 -1/16 (sin.f64 x) (sin.f64 y))))
(.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x))) (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y)))))
(.f64 (sqrt.f64 2) (.f64 (+.f64 (sin.f64 x) (.f64 -1/16 (sin.f64 y))) (+.f64 (sin.f64 y) (.f64 -1/16 (sin.f64 x)))))
(.f64 (sqrt.f64 2) (.f64 (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)) (fma.f64 -1/16 (sin.f64 x) (sin.f64 y))))
(.f64 (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)) (.f64 (sqrt.f64 2) (fma.f64 -1/16 (sin.f64 x) (sin.f64 y))))
(.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x))) (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y)))))
(.f64 (sqrt.f64 2) (.f64 (+.f64 (sin.f64 x) (.f64 -1/16 (sin.f64 y))) (+.f64 (sin.f64 y) (.f64 -1/16 (sin.f64 x)))))
(.f64 (sqrt.f64 2) (.f64 (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)) (fma.f64 -1/16 (sin.f64 x) (sin.f64 y))))
(.f64 (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)) (.f64 (sqrt.f64 2) (fma.f64 -1/16 (sin.f64 x) (sin.f64 y))))
(.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x))) (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y)))))
(.f64 (sqrt.f64 2) (.f64 (+.f64 (sin.f64 x) (.f64 -1/16 (sin.f64 y))) (+.f64 (sin.f64 y) (.f64 -1/16 (sin.f64 x)))))
(.f64 (sqrt.f64 2) (.f64 (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)) (fma.f64 -1/16 (sin.f64 x) (sin.f64 y))))
(.f64 (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)) (.f64 (sqrt.f64 2) (fma.f64 -1/16 (sin.f64 x) (sin.f64 y))))
(.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x))) (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y)))))
(.f64 (sqrt.f64 2) (.f64 (+.f64 (sin.f64 x) (.f64 -1/16 (sin.f64 y))) (+.f64 (sin.f64 y) (.f64 -1/16 (sin.f64 x)))))
(.f64 (sqrt.f64 2) (.f64 (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)) (fma.f64 -1/16 (sin.f64 x) (sin.f64 y))))
(.f64 (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)) (.f64 (sqrt.f64 2) (fma.f64 -1/16 (sin.f64 x) (sin.f64 y))))
(.f64 -1/16 (.f64 (sqrt.f64 2) (pow.f64 (sin.f64 x) 2)))
(.f64 (pow.f64 (sin.f64 x) 2) (.f64 -1/16 (sqrt.f64 2)))
(+.f64 (.f64 (sqrt.f64 2) (.f64 y (+.f64 (.f64 1/256 (sin.f64 x)) (sin.f64 x)))) (.f64 -1/16 (*.f64 (sqrt.f64 2) (pow.f64 (sin.f64 x) 2))))
(fma.f64 (sqrt.f64 2) (.f64 y (.f64 257/256 (sin.f64 x))) (.f64 -1/16 (.f64 (sqrt.f64 2) (pow.f64 (sin.f64 x) 2))))
(fma.f64 (.f64 -1/16 (sqrt.f64 2)) (pow.f64 (sin.f64 x) 2) (.f64 (sqrt.f64 2) (.f64 y (.f64 (sin.f64 x) 257/256))))
(.f64 (sqrt.f64 2) (+.f64 (.f64 -1/16 (pow.f64 (sin.f64 x) 2)) (.f64 y (.f64 (sin.f64 x) 257/256))))
(.f64 (sin.f64 x) (.f64 (sqrt.f64 2) (+.f64 (.f64 -1/16 (sin.f64 x)) (.f64 y 257/256))))
(+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) (pow.f64 y 2))) (+.f64 (.f64 (sqrt.f64 2) (.f64 y (+.f64 (.f64 1/256 (sin.f64 x)) (sin.f64 x)))) (.f64 -1/16 (*.f64 (sqrt.f64 2) (pow.f64 (sin.f64 x) 2)))))
(fma.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 y y)) (fma.f64 (sqrt.f64 2) (.f64 y (.f64 257/256 (sin.f64 x))) (.f64 -1/16 (.f64 (sqrt.f64 2) (pow.f64 (sin.f64 x) 2)))))
(fma.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 y y)) (fma.f64 (.f64 -1/16 (sqrt.f64 2)) (pow.f64 (sin.f64 x) 2) (.f64 (sqrt.f64 2) (.f64 y (.f64 (sin.f64 x) 257/256)))))
(fma.f64 y (.f64 (sqrt.f64 2) (.f64 (sin.f64 x) 257/256)) (.f64 (.f64 -1/16 (sqrt.f64 2)) (+.f64 (pow.f64 (sin.f64 x) 2) (*.f64 y y))))
(.f64 (sqrt.f64 2) (+.f64 (.f64 -1/16 (pow.f64 (sin.f64 x) 2)) (.f64 y (+.f64 (.f64 (sin.f64 x) 257/256) (*.f64 -1/16 y)))))
(+.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 y 3) (+.f64 (.f64 -1/1536 (sin.f64 x)) (.f64 -1/6 (sin.f64 x))))) (+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) (pow.f64 y 2))) (+.f64 (.f64 (sqrt.f64 2) (.f64 y (+.f64 (.f64 1/256 (sin.f64 x)) (sin.f64 x)))) (.f64 -1/16 (*.f64 (sqrt.f64 2) (pow.f64 (sin.f64 x) 2))))))
(fma.f64 (sqrt.f64 2) (.f64 (pow.f64 y 3) (.f64 (sin.f64 x) -257/1536)) (fma.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 y y)) (fma.f64 (sqrt.f64 2) (.f64 y (.f64 257/256 (sin.f64 x))) (.f64 -1/16 (.f64 (sqrt.f64 2) (pow.f64 (sin.f64 x) 2))))))
(fma.f64 (sqrt.f64 2) (.f64 (sin.f64 x) (.f64 -257/1536 (pow.f64 y 3))) (fma.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 y y)) (fma.f64 (.f64 -1/16 (sqrt.f64 2)) (pow.f64 (sin.f64 x) 2) (.f64 (sqrt.f64 2) (.f64 y (.f64 (sin.f64 x) 257/256))))))
(fma.f64 (sqrt.f64 2) (.f64 (sin.f64 x) (.f64 (pow.f64 y 3) -257/1536)) (fma.f64 y (.f64 (sqrt.f64 2) (.f64 (sin.f64 x) 257/256)) (.f64 (.f64 -1/16 (sqrt.f64 2)) (+.f64 (pow.f64 (sin.f64 x) 2) (*.f64 y y)))))
(.f64 (sqrt.f64 2) (+.f64 (.f64 y (+.f64 (.f64 (sin.f64 x) 257/256) (.f64 -1/16 y))) (.f64 (sin.f64 x) (+.f64 (.f64 -1/16 (sin.f64 x)) (*.f64 (pow.f64 y 3) -257/1536)))))
(.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))) (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x)))))
(.f64 (sqrt.f64 2) (.f64 (+.f64 (sin.f64 x) (.f64 -1/16 (sin.f64 y))) (+.f64 (sin.f64 y) (.f64 -1/16 (sin.f64 x)))))
(.f64 (sqrt.f64 2) (.f64 (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)) (fma.f64 -1/16 (sin.f64 x) (sin.f64 y))))
(.f64 (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)) (.f64 (sqrt.f64 2) (fma.f64 -1/16 (sin.f64 x) (sin.f64 y))))
(.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))) (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x)))))
(.f64 (sqrt.f64 2) (.f64 (+.f64 (sin.f64 x) (.f64 -1/16 (sin.f64 y))) (+.f64 (sin.f64 y) (.f64 -1/16 (sin.f64 x)))))
(.f64 (sqrt.f64 2) (.f64 (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)) (fma.f64 -1/16 (sin.f64 x) (sin.f64 y))))
(.f64 (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)) (.f64 (sqrt.f64 2) (fma.f64 -1/16 (sin.f64 x) (sin.f64 y))))
(.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))) (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x)))))
(.f64 (sqrt.f64 2) (.f64 (+.f64 (sin.f64 x) (.f64 -1/16 (sin.f64 y))) (+.f64 (sin.f64 y) (.f64 -1/16 (sin.f64 x)))))
(.f64 (sqrt.f64 2) (.f64 (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)) (fma.f64 -1/16 (sin.f64 x) (sin.f64 y))))
(.f64 (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)) (.f64 (sqrt.f64 2) (fma.f64 -1/16 (sin.f64 x) (sin.f64 y))))
(.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))) (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x)))))
(.f64 (sqrt.f64 2) (.f64 (+.f64 (sin.f64 x) (.f64 -1/16 (sin.f64 y))) (+.f64 (sin.f64 y) (.f64 -1/16 (sin.f64 x)))))
(.f64 (sqrt.f64 2) (.f64 (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)) (fma.f64 -1/16 (sin.f64 x) (sin.f64 y))))
(.f64 (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)) (.f64 (sqrt.f64 2) (fma.f64 -1/16 (sin.f64 x) (sin.f64 y))))
(.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x))) (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y)))))
(.f64 (sqrt.f64 2) (.f64 (+.f64 (sin.f64 x) (.f64 -1/16 (sin.f64 y))) (+.f64 (sin.f64 y) (.f64 -1/16 (sin.f64 x)))))
(.f64 (sqrt.f64 2) (.f64 (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)) (fma.f64 -1/16 (sin.f64 x) (sin.f64 y))))
(.f64 (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)) (.f64 (sqrt.f64 2) (fma.f64 -1/16 (sin.f64 x) (sin.f64 y))))
(.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x))) (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y)))))
(.f64 (sqrt.f64 2) (.f64 (+.f64 (sin.f64 x) (.f64 -1/16 (sin.f64 y))) (+.f64 (sin.f64 y) (.f64 -1/16 (sin.f64 x)))))
(.f64 (sqrt.f64 2) (.f64 (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)) (fma.f64 -1/16 (sin.f64 x) (sin.f64 y))))
(.f64 (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)) (.f64 (sqrt.f64 2) (fma.f64 -1/16 (sin.f64 x) (sin.f64 y))))
(.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x))) (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y)))))
(.f64 (sqrt.f64 2) (.f64 (+.f64 (sin.f64 x) (.f64 -1/16 (sin.f64 y))) (+.f64 (sin.f64 y) (.f64 -1/16 (sin.f64 x)))))
(.f64 (sqrt.f64 2) (.f64 (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)) (fma.f64 -1/16 (sin.f64 x) (sin.f64 y))))
(.f64 (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)) (.f64 (sqrt.f64 2) (fma.f64 -1/16 (sin.f64 x) (sin.f64 y))))
(.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x))) (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y)))))
(.f64 (sqrt.f64 2) (.f64 (+.f64 (sin.f64 x) (.f64 -1/16 (sin.f64 y))) (+.f64 (sin.f64 y) (.f64 -1/16 (sin.f64 x)))))
(.f64 (sqrt.f64 2) (.f64 (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)) (fma.f64 -1/16 (sin.f64 x) (sin.f64 y))))
(.f64 (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)) (.f64 (sqrt.f64 2) (fma.f64 -1/16 (sin.f64 x) (sin.f64 y))))

localize237.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.6b	(cbrt.f64 (.f64 (sqrt.f64 2) (+.f64 (sin.f64 x) (.f64 (sin.f64 y) -1/16))))
✓	0.7b	(pow.f64 (cbrt.f64 (.f64 (sqrt.f64 2) (+.f64 (sin.f64 x) (.f64 (sin.f64 y) -1/16)))) 3)
	1.0b	(-.f64 3 (sqrt.f64 5))
	1.4b	(-.f64 (cos.f64 x) (cos.f64 y))

Compiler

Compiled 306 to 207 computations (32.4% saved)

series69.0ms (0.2%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
36.0ms	x	@	inf	(pow.f64 (cbrt.f64 (.f64 (sqrt.f64 2) (+.f64 (sin.f64 x) (.f64 (sin.f64 y) -1/16)))) 3)
13.0ms	y	@	-inf	(pow.f64 (cbrt.f64 (.f64 (sqrt.f64 2) (+.f64 (sin.f64 x) (.f64 (sin.f64 y) -1/16)))) 3)
6.0ms	x	@	0	(pow.f64 (cbrt.f64 (.f64 (sqrt.f64 2) (+.f64 (sin.f64 x) (.f64 (sin.f64 y) -1/16)))) 3)
4.0ms	x	@	-inf	(pow.f64 (cbrt.f64 (.f64 (sqrt.f64 2) (+.f64 (sin.f64 x) (.f64 (sin.f64 y) -1/16)))) 3)
4.0ms	y	@	0	(pow.f64 (cbrt.f64 (.f64 (sqrt.f64 2) (+.f64 (sin.f64 x) (.f64 (sin.f64 y) -1/16)))) 3)

rewrite157.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

605×	`log-prod_binary64`
430×	`pow-prod-down_binary64`
336×	`pow2_binary64`
298×	`fma-def_binary64`
232×	`pow1/3_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	34
1	302	30
2	3527	30

Stop Event

1×	node limit

Counts

2 → 104

Calls

Call 1

Inputs
(pow.f64 (cbrt.f64 (.f64 (sqrt.f64 2) (+.f64 (sin.f64 x) (.f64 (sin.f64 y) -1/16)))) 3)
(cbrt.f64 (.f64 (sqrt.f64 2) (+.f64 (sin.f64 x) (.f64 (sin.f64 y) -1/16))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 2) (*.f64 (sin.f64 y) -1/16)) (*.f64 (sqrt.f64 2) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 2) (sin.f64 x)) (*.f64 (sqrt.f64 2) (*.f64 (sin.f64 y) -1/16)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (sqrt.f64 2) (fma.f64 (sin.f64 y) -1/16 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (sqrt.f64 2) (sin.f64 x)) 1) (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (sin.f64 y) -1/16)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 2)) (fma.f64 (sin.f64 y) -1/16 (sin.f64 x)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 2)) (fma.f64 (sin.f64 y) -1/16 (sin.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 2)) (fma.f64 (sin.f64 y) -1/16 (sin.f64 x))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 2)) (fma.f64 (sin.f64 y) -1/16 (sin.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 2) (fma.f64 (sin.f64 y) -1/16 (sin.f64 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 2) (fma.f64 (sin.f64 y) -1/16 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (sin.f64 y) -1/16 (sin.f64 x)) (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 2) (fma.f64 (sin.f64 y) -1/16 (sin.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (sqrt.f64 2) (fma.f64 (sin.f64 y) -1/16 (sin.f64 x)))) (cbrt.f64 (*.f64 2 (pow.f64 (fma.f64 (sin.f64 y) -1/16 (sin.f64 x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (sqrt.f64 2) (fma.f64 (sin.f64 y) -1/16 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 2 (pow.f64 (fma.f64 (sin.f64 y) -1/16 (sin.f64 x)) 2))) (cbrt.f64 (*.f64 (sqrt.f64 2) (fma.f64 (sin.f64 y) -1/16 (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 2 (pow.f64 (fma.f64 (sin.f64 y) -1/16 (sin.f64 x)) 2)))) (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 (sqrt.f64 2) (fma.f64 (sin.f64 y) -1/16 (sin.f64 x))))) (cbrt.f64 (*.f64 2 (pow.f64 (fma.f64 (sin.f64 y) -1/16 (sin.f64 x)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 2 1/6) (*.f64 (cbrt.f64 (fma.f64 (sin.f64 y) -1/16 (sin.f64 x))) (cbrt.f64 (*.f64 2 (pow.f64 (fma.f64 (sin.f64 y) -1/16 (sin.f64 x)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 2) (*.f64 (pow.f64 2 1/6) (fma.f64 (sin.f64 y) -1/16 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 (sin.f64 y) -1/16 (sin.f64 x)) 2)) (*.f64 (cbrt.f64 (fma.f64 (sin.f64 y) -1/16 (sin.f64 x))) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (sqrt.f64 2) (fma.f64 (sin.f64 y) -1/16 (sin.f64 x)))) (sqrt.f64 (*.f64 (sqrt.f64 2) (fma.f64 (sin.f64 y) -1/16 (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (sqrt.f64 2) (fma.f64 (sin.f64 y) -1/16 (sin.f64 x))) 1/6) (*.f64 (pow.f64 (*.f64 (sqrt.f64 2) (fma.f64 (sin.f64 y) -1/16 (sin.f64 x))) 1/6) (cbrt.f64 (*.f64 2 (pow.f64 (fma.f64 (sin.f64 y) -1/16 (sin.f64 x)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 2 1/4) (*.f64 (pow.f64 2 1/4) (fma.f64 (sin.f64 y) -1/16 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (sin.f64 y) -1/16 (sin.f64 x))) (pow.f64 (*.f64 (fma.f64 (sin.f64 y) -1/16 (sin.f64 x)) 2) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 2) (cbrt.f64 (pow.f64 (fma.f64 (sin.f64 y) -1/16 (sin.f64 x)) 2))) (cbrt.f64 (fma.f64 (sin.f64 y) -1/16 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 2 (fma.f64 (sin.f64 y) -1/16 (sin.f64 x))) 1/2) (sqrt.f64 (fma.f64 (sin.f64 y) -1/16 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (fma.f64 (sin.f64 y) -1/16 (sin.f64 x)) (cbrt.f64 2)) (pow.f64 2 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (fma.f64 (sin.f64 y) -1/16 (sin.f64 x)) (pow.f64 2 1/4)) (pow.f64 2 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (*.f64 2 (pow.f64 (fma.f64 (sin.f64 y) -1/16 (sin.f64 x)) 2))) 1) (cbrt.f64 (*.f64 (sqrt.f64 2) (fma.f64 (sin.f64 y) -1/16 (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (*.f64 2 (pow.f64 (fma.f64 (sin.f64 y) -1/16 (sin.f64 x)) 2))) (cbrt.f64 (cbrt.f64 (*.f64 2 (pow.f64 (fma.f64 (sin.f64 y) -1/16 (sin.f64 x)) 2))))) (cbrt.f64 (cbrt.f64 (*.f64 (sqrt.f64 2) (fma.f64 (sin.f64 y) -1/16 (sin.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (*.f64 2 (pow.f64 (fma.f64 (sin.f64 y) -1/16 (sin.f64 x)) 2))) (pow.f64 2 1/6)) (cbrt.f64 (fma.f64 (sin.f64 y) -1/16 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (*.f64 2 (pow.f64 (fma.f64 (sin.f64 y) -1/16 (sin.f64 x)) 2))) (pow.f64 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simplify212.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

636×	`times-frac_binary64`
394×	`distribute-lft-in_binary64`
394×	`distribute-rgt-in_binary64`
369×	`associate-+l+_binary64`
338×	`associate-+r+_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	243	2756
1	799	2532
2	2707	2398

Stop Event

1×	node limit

Counts

152 → 140

Calls

Call 1

Inputs
(.f64 -1/16 (.f64 (*.f64 (sqrt.f64 2) (sin.f64 y)) (pow.f64 1 1/3)))
(+.f64 (.f64 (+.f64 (.f64 1/3 (.f64 (pow.f64 (.f64 (pow.f64 (sqrt.f64 2) 13) (.f64 (pow.f64 1 4) (pow.f64 (sin.f64 y) 4))) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1/16) 4) 1/3))) (.f64 2/3 (.f64 (pow.f64 (.f64 (pow.f64 (sqrt.f64 2) 13) (.f64 (pow.f64 1 4) (pow.f64 (sin.f64 y) 4))) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1/16) 4) 1/3)))) x) (.f64 -1/16 (.f64 (.f64 (sqrt.f64 2) (sin.f64 y)) (pow.f64 1 1/3))))
(+.f64 (.f64 (+.f64 (.f64 1/3 (.f64 (pow.f64 (.f64 (pow.f64 (sqrt.f64 2) 13) (.f64 (pow.f64 1 4) (pow.f64 (sin.f64 y) 4))) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1/16) 4) 1/3))) (.f64 2/3 (.f64 (pow.f64 (.f64 (pow.f64 (sqrt.f64 2) 13) (.f64 (pow.f64 1 4) (pow.f64 (sin.f64 y) 4))) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1/16) 4) 1/3)))) x) (+.f64 (.f64 (+.f64 (.f64 (pow.f64 (.f64 (sqrt.f64 2) (.f64 1 (sin.f64 y))) 1/3) (.f64 (+.f64 (.f64 1/9 (.f64 (pow.f64 (/.f64 (.f64 (pow.f64 (sqrt.f64 2) 14) (pow.f64 1 4)) (pow.f64 (sin.f64 y) 4)) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/16) 4)) 1/3))) (.f64 -2/9 (.f64 (pow.f64 (/.f64 (.f64 (pow.f64 (sqrt.f64 2) 14) (pow.f64 1 4)) (pow.f64 (sin.f64 y) 4)) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/16) 4)) 1/3)))) (cbrt.f64 -1/16))) (+.f64 (.f64 -1/9 (.f64 (pow.f64 (/.f64 (.f64 (pow.f64 (sqrt.f64 2) 17) (pow.f64 1 4)) (sin.f64 y)) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 -1/16)) 1/3))) (.f64 2/9 (.f64 (pow.f64 (/.f64 (.f64 (pow.f64 (sqrt.f64 2) 17) (pow.f64 1 4)) (sin.f64 y)) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 -1/16)) 1/3))))) (pow.f64 x 2)) (.f64 -1/16 (.f64 (*.f64 (sqrt.f64 2) (sin.f64 y)) (pow.f64 1 1/3)))))
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(.f64 (.f64 (sqrt.f64 2) (+.f64 (*.f64 -1/16 (sin.f64 y)) (sin.f64 x))) (pow.f64 1 1/3))
(.f64 (.f64 (sqrt.f64 2) (+.f64 (*.f64 -1/16 (sin.f64 y)) (sin.f64 x))) (pow.f64 1 1/3))
(.f64 (.f64 (sqrt.f64 2) (+.f64 (*.f64 -1/16 (sin.f64 y)) (sin.f64 x))) (pow.f64 1 1/3))
(.f64 (.f64 (sqrt.f64 2) (+.f64 (*.f64 -1/16 (sin.f64 y)) (sin.f64 x))) (pow.f64 1 1/3))
(.f64 (.f64 (sqrt.f64 2) (+.f64 (*.f64 -1/16 (sin.f64 y)) (sin.f64 x))) (pow.f64 1 1/3))
(.f64 (.f64 (sqrt.f64 2) (+.f64 (*.f64 -1/16 (sin.f64 y)) (sin.f64 x))) (pow.f64 1 1/3))
(.f64 (.f64 (sqrt.f64 2) (+.f64 (*.f64 -1/16 (sin.f64 y)) (sin.f64 x))) (pow.f64 1 1/3))
(.f64 (.f64 (sqrt.f64 2) (+.f64 (*.f64 -1/16 (sin.f64 y)) (sin.f64 x))) (pow.f64 1 1/3))
(.f64 (.f64 (sqrt.f64 2) (sin.f64 x)) (pow.f64 1 1/3))
(+.f64 (.f64 y (+.f64 (.f64 -1/24 (pow.f64 (.f64 (pow.f64 (sqrt.f64 2) 13) (.f64 1 (pow.f64 (sin.f64 x) 4))) 1/9)) (.f64 -1/48 (pow.f64 (.f64 (pow.f64 (sqrt.f64 2) 13) (.f64 1 (pow.f64 (sin.f64 x) 4))) 1/9)))) (.f64 (*.f64 (sqrt.f64 2) (sin.f64 x)) (pow.f64 1 1/3)))
(+.f64 (.f64 y (+.f64 (.f64 -1/24 (pow.f64 (.f64 (pow.f64 (sqrt.f64 2) 13) (.f64 1 (pow.f64 (sin.f64 x) 4))) 1/9)) (.f64 -1/48 (pow.f64 (.f64 (pow.f64 (sqrt.f64 2) 13) (.f64 1 (pow.f64 (sin.f64 x) 4))) 1/9)))) (+.f64 (.f64 (.f64 (sqrt.f64 2) (sin.f64 x)) (pow.f64 1 1/3)) (.f64 (+.f64 (.f64 1/1152 (pow.f64 (/.f64 (.f64 (pow.f64 (sqrt.f64 2) 17) 1) (sin.f64 x)) 1/9)) (+.f64 (.f64 (pow.f64 (.f64 (sqrt.f64 2) (.f64 1 (sin.f64 x))) 1/3) (+.f64 (.f64 1/2304 (pow.f64 (/.f64 (.f64 (pow.f64 (sqrt.f64 2) 14) 1) (pow.f64 (sin.f64 x) 4)) 1/9)) (.f64 -1/1152 (pow.f64 (/.f64 (.f64 (pow.f64 (sqrt.f64 2) 14) 1) (pow.f64 (sin.f64 x) 4)) 1/9)))) (.f64 -1/2304 (pow.f64 (/.f64 (*.f64 (pow.f64 (sqrt.f64 2) 17) 1) (sin.f64 x)) 1/9)))) (pow.f64 y 2))))
(+.f64 (.f64 y (+.f64 (.f64 -1/24 (pow.f64 (.f64 (pow.f64 (sqrt.f64 2) 13) (.f64 1 (pow.f64 (sin.f64 x) 4))) 1/9)) (.f64 -1/48 (pow.f64 (.f64 (pow.f64 (sqrt.f64 2) 13) (.f64 1 (pow.f64 (sin.f64 x) 4))) 1/9)))) (+.f64 (.f64 (+.f64 (.f64 1/3 (.f64 (pow.f64 1 1/3) (-.f64 (.f64 1/96 (sqrt.f64 2)) (+.f64 (.f64 1/18432 (.f64 (pow.f64 (/.f64 (pow.f64 (sqrt.f64 2) 7) (pow.f64 (sin.f64 x) 2)) 1/3) (pow.f64 (pow.f64 1 4) 1/9))) (.f64 -1/110592 (pow.f64 (/.f64 (.f64 (pow.f64 (sqrt.f64 2) 7) 1) (pow.f64 (sin.f64 x) 2)) 1/3)))))) (+.f64 (.f64 -1/48 (.f64 (pow.f64 (/.f64 (.f64 (pow.f64 (sqrt.f64 2) 7) 1) (pow.f64 (sin.f64 x) 2)) 1/9) (+.f64 (.f64 1/2304 (pow.f64 (/.f64 (.f64 (pow.f64 (sqrt.f64 2) 14) 1) (pow.f64 (sin.f64 x) 4)) 1/9)) (.f64 -1/1152 (pow.f64 (/.f64 (.f64 (pow.f64 (sqrt.f64 2) 14) 1) (pow.f64 (sin.f64 x) 4)) 1/9))))) (+.f64 (.f64 1/55296 (.f64 (pow.f64 (/.f64 (pow.f64 (sqrt.f64 2) 7) (pow.f64 (sin.f64 x) 2)) 1/3) (pow.f64 (pow.f64 1 4) 1/9))) (.f64 (pow.f64 (.f64 (sqrt.f64 2) (.f64 1 (sin.f64 x))) 1/3) (+.f64 (.f64 1/55296 (.f64 (/.f64 (pow.f64 (sqrt.f64 2) 2) (sin.f64 x)) (pow.f64 1 1/9))) (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (.f64 (sqrt.f64 2) (sin.f64 x))) 1/3) (-.f64 (.f64 1/96 (sqrt.f64 2)) (+.f64 (.f64 1/18432 (.f64 (pow.f64 (/.f64 (pow.f64 (sqrt.f64 2) 7) (pow.f64 (sin.f64 x) 2)) 1/3) (pow.f64 (pow.f64 1 4) 1/9))) (.f64 -1/110592 (pow.f64 (/.f64 (.f64 (pow.f64 (sqrt.f64 2) 7) 1) (pow.f64 (sin.f64 x) 2)) 1/3))))))))))) (pow.f64 y 3)) (+.f64 (.f64 (.f64 (sqrt.f64 2) (sin.f64 x)) (pow.f64 1 1/3)) (.f64 (+.f64 (.f64 1/1152 (pow.f64 (/.f64 (.f64 (pow.f64 (sqrt.f64 2) 17) 1) (sin.f64 x)) 1/9)) (+.f64 (.f64 (pow.f64 (.f64 (sqrt.f64 2) (.f64 1 (sin.f64 x))) 1/3) (+.f64 (.f64 1/2304 (pow.f64 (/.f64 (.f64 (pow.f64 (sqrt.f64 2) 14) 1) (pow.f64 (sin.f64 x) 4)) 1/9)) (.f64 -1/1152 (pow.f64 (/.f64 (.f64 (pow.f64 (sqrt.f64 2) 14) 1) (pow.f64 (sin.f64 x) 4)) 1/9)))) (.f64 -1/2304 (pow.f64 (/.f64 (*.f64 (pow.f64 (sqrt.f64 2) 17) 1) (sin.f64 x)) 1/9)))) (pow.f64 y 2)))))
(.f64 (.f64 (sqrt.f64 2) (+.f64 (*.f64 -1/16 (sin.f64 y)) (sin.f64 x))) (pow.f64 1 1/3))
(.f64 (.f64 (sqrt.f64 2) (+.f64 (*.f64 -1/16 (sin.f64 y)) (sin.f64 x))) (pow.f64 1 1/3))
(.f64 (.f64 (sqrt.f64 2) (+.f64 (*.f64 -1/16 (sin.f64 y)) (sin.f64 x))) (pow.f64 1 1/3))
(.f64 (.f64 (sqrt.f64 2) (+.f64 (*.f64 -1/16 (sin.f64 y)) (sin.f64 x))) (pow.f64 1 1/3))
(.f64 (.f64 (sqrt.f64 2) (+.f64 (*.f64 -1/16 (sin.f64 y)) (sin.f64 x))) (pow.f64 1 1/3))
(.f64 (.f64 (sqrt.f64 2) (+.f64 (*.f64 -1/16 (sin.f64 y)) (sin.f64 x))) (pow.f64 1 1/3))
(.f64 (.f64 (sqrt.f64 2) (+.f64 (*.f64 -1/16 (sin.f64 y)) (sin.f64 x))) (pow.f64 1 1/3))
(.f64 (.f64 (sqrt.f64 2) (+.f64 (*.f64 -1/16 (sin.f64 y)) (sin.f64 x))) (pow.f64 1 1/3))
(.f64 (pow.f64 (.f64 (sqrt.f64 2) (*.f64 1 (sin.f64 y))) 1/3) (cbrt.f64 -1/16))
(+.f64 (.f64 (pow.f64 (.f64 (sqrt.f64 2) (.f64 1 (sin.f64 y))) 1/3) (cbrt.f64 -1/16)) (.f64 1/3 (.f64 (pow.f64 (/.f64 (.f64 (pow.f64 (sqrt.f64 2) 7) (pow.f64 1 4)) (pow.f64 (sin.f64 y) 2)) 1/9) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/16) 2)) 1/3) x))))
(+.f64 (.f64 -1/9 (.f64 (pow.f64 (/.f64 (.f64 (pow.f64 (sqrt.f64 2) 11) (pow.f64 1 4)) (pow.f64 (sin.f64 y) 7)) 1/9) (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/16) 7)) 1/3) (pow.f64 x 2)))) (+.f64 (.f64 (pow.f64 (.f64 (sqrt.f64 2) (.f64 1 (sin.f64 y))) 1/3) (cbrt.f64 -1/16)) (.f64 1/3 (.f64 (pow.f64 (/.f64 (.f64 (pow.f64 (sqrt.f64 2) 7) (pow.f64 1 4)) (pow.f64 (sin.f64 y) 2)) 1/9) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/16) 2)) 1/3) x)))))
(+.f64 (.f64 -1/9 (.f64 (pow.f64 (/.f64 (.f64 (pow.f64 (sqrt.f64 2) 11) (pow.f64 1 4)) (pow.f64 (sin.f64 y) 7)) 1/9) (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/16) 7)) 1/3) (pow.f64 x 2)))) (+.f64 (.f64 (pow.f64 (.f64 (sqrt.f64 2) (.f64 1 (sin.f64 y))) 1/3) (cbrt.f64 -1/16)) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 (.f64 (pow.f64 (sqrt.f64 2) 7) (pow.f64 1 4)) (pow.f64 (sin.f64 y) 2)) 1/9) (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/16) 2)) 1/3) x))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 2) 2) (pow.f64 (sin.f64 y) 2))) 1/3) (/.f64 (.f64 (-.f64 (.f64 -1/6 (sqrt.f64 2)) (+.f64 (.f64 -2/9 (.f64 (pow.f64 (/.f64 (pow.f64 (sqrt.f64 2) 7) (pow.f64 (sin.f64 y) 2)) 1/3) (.f64 (pow.f64 (pow.f64 1 4) 1/9) (/.f64 1 (pow.f64 (cbrt.f64 -1/16) 2))))) (.f64 1/27 (.f64 (pow.f64 (/.f64 (.f64 (pow.f64 (sqrt.f64 2) 7) 1) (pow.f64 (sin.f64 y) 2)) 1/3) (/.f64 1 (pow.f64 (cbrt.f64 -1/16) 2)))))) (pow.f64 x 3)) (pow.f64 (cbrt.f64 -1/16) 2)))))))
(pow.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x))) 1/3)
(pow.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x))) 1/3)
(pow.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x))) 1/3)
(pow.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x))) 1/3)
(pow.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x))) 1/3)
(pow.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x))) 1/3)
(pow.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x))) 1/3)
(pow.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x))) 1/3)
(pow.f64 (*.f64 (sqrt.f64 2) (sin.f64 x)) 1/3)
(+.f64 (.f64 -1/48 (.f64 (pow.f64 (/.f64 (.f64 (pow.f64 (sqrt.f64 2) 7) 1) (pow.f64 (sin.f64 x) 2)) 1/9) y)) (pow.f64 (.f64 (sqrt.f64 2) (sin.f64 x)) 1/3))
(+.f64 (.f64 -1/48 (.f64 (pow.f64 (/.f64 (.f64 (pow.f64 (sqrt.f64 2) 7) 1) (pow.f64 (sin.f64 x) 2)) 1/9) y)) (+.f64 (pow.f64 (.f64 (sqrt.f64 2) (sin.f64 x)) 1/3) (.f64 -1/2304 (.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 (sqrt.f64 2) 11) 1) (pow.f64 (sin.f64 x) 7)) 1/9) (pow.f64 y 2)))))
(+.f64 (.f64 -1/48 (.f64 (pow.f64 (/.f64 (.f64 (pow.f64 (sqrt.f64 2) 7) 1) (pow.f64 (sin.f64 x) 2)) 1/9) y)) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 2) 2) (pow.f64 (sin.f64 x) 2))) 1/3) (.f64 (pow.f64 y 3) (-.f64 (.f64 1/96 (sqrt.f64 2)) (+.f64 (.f64 1/18432 (.f64 (pow.f64 (/.f64 (pow.f64 (sqrt.f64 2) 7) (pow.f64 (sin.f64 x) 2)) 1/3) (pow.f64 (pow.f64 1 4) 1/9))) (.f64 -1/110592 (pow.f64 (/.f64 (.f64 (pow.f64 (sqrt.f64 2) 7) 1) (pow.f64 (sin.f64 x) 2)) 1/3))))))) (+.f64 (pow.f64 (.f64 (sqrt.f64 2) (sin.f64 x)) 1/3) (.f64 -1/2304 (.f64 (pow.f64 (/.f64 (.f64 (pow.f64 (sqrt.f64 2) 11) 1) (pow.f64 (sin.f64 x) 7)) 1/9) (pow.f64 y 2))))))
(pow.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x))) 1/3)
(pow.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x))) 1/3)
(pow.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x))) 1/3)
(pow.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x))) 1/3)
(pow.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x))) 1/3)
(pow.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x))) 1/3)
(pow.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x))) 1/3)
(pow.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x))) 1/3)

Outputs
(.f64 -1/16 (.f64 (*.f64 (sqrt.f64 2) (sin.f64 y)) (pow.f64 1 1/3)))
(.f64 -1/16 (.f64 (sqrt.f64 2) (sin.f64 y)))
(.f64 (sqrt.f64 2) (.f64 -1/16 (sin.f64 y)))
(+.f64 (.f64 (+.f64 (.f64 1/3 (.f64 (pow.f64 (.f64 (pow.f64 (sqrt.f64 2) 13) (.f64 (pow.f64 1 4) (pow.f64 (sin.f64 y) 4))) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1/16) 4) 1/3))) (.f64 2/3 (.f64 (pow.f64 (.f64 (pow.f64 (sqrt.f64 2) 13) (.f64 (pow.f64 1 4) (pow.f64 (sin.f64 y) 4))) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1/16) 4) 1/3)))) x) (.f64 -1/16 (.f64 (.f64 (sqrt.f64 2) (sin.f64 y)) (pow.f64 1 1/3))))
(fma.f64 (.f64 (.f64 (.f64 (pow.f64 (.f64 (pow.f64 (sqrt.f64 2) 13) (pow.f64 (sin.f64 y) 4)) 1/18) (pow.f64 (.f64 (pow.f64 (sqrt.f64 2) 13) (pow.f64 (sin.f64 y) 4)) 1/18)) (cbrt.f64 (pow.f64 (cbrt.f64 -1/16) 4))) 1) x (.f64 -1/16 (*.f64 (sqrt.f64 2) (sin.f64 y))))
(fma.f64 (.f64 (.f64 (pow.f64 (.f64 (pow.f64 (sqrt.f64 2) 13) (pow.f64 (sin.f64 y) 4)) 1/18) (pow.f64 (.f64 (pow.f64 (sqrt.f64 2) 13) (pow.f64 (sin.f64 y) 4)) 1/18)) (cbrt.f64 (pow.f64 (cbrt.f64 -1/16) 4))) x (.f64 (sqrt.f64 2) (.f64 -1/16 (sin.f64 y))))
(fma.f64 (.f64 (.f64 (cbrt.f64 (.f64 -1/16 (cbrt.f64 -1/16))) (pow.f64 (.f64 (pow.f64 (sqrt.f64 2) 13) (pow.f64 (sin.f64 y) 4)) 1/18)) (pow.f64 (.f64 (pow.f64 (sqrt.f64 2) 13) (pow.f64 (sin.f64 y) 4)) 1/18)) x (.f64 -1/16 (*.f64 (sqrt.f64 2) (sin.f64 y))))
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(fma.f64 1/3 (.f64 x (.f64 (pow.f64 (/.f64 (pow.f64 (sqrt.f64 2) 7) (pow.f64 (sin.f64 y) 2)) 1/18) (.f64 (pow.f64 (/.f64 (pow.f64 (sqrt.f64 2) 7) (pow.f64 (sin.f64 y) 2)) 1/18) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/16) 2)))))) (.f64 (cbrt.f64 -1/16) (cbrt.f64 (*.f64 (sqrt.f64 2) (sin.f64 y)))))
(fma.f64 1/3 (.f64 x (.f64 (.f64 (pow.f64 (/.f64 (pow.f64 (sqrt.f64 2) 7) (pow.f64 (sin.f64 y) 2)) 1/18) (pow.f64 (/.f64 (pow.f64 (sqrt.f64 2) 7) (pow.f64 (sin.f64 y) 2)) 1/18)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/16) 2))))) (.f64 (cbrt.f64 -1/16) (cbrt.f64 (*.f64 (sqrt.f64 2) (sin.f64 y)))))
(+.f64 (.f64 -1/9 (.f64 (pow.f64 (/.f64 (.f64 (pow.f64 (sqrt.f64 2) 11) (pow.f64 1 4)) (pow.f64 (sin.f64 y) 7)) 1/9) (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/16) 7)) 1/3) (pow.f64 x 2)))) (+.f64 (.f64 (pow.f64 (.f64 (sqrt.f64 2) (.f64 1 (sin.f64 y))) 1/3) (cbrt.f64 -1/16)) (.f64 1/3 (.f64 (pow.f64 (/.f64 (.f64 (pow.f64 (sqrt.f64 2) 7) (pow.f64 1 4)) (pow.f64 (sin.f64 y) 2)) 1/9) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/16) 2)) 1/3) x)))))
(fma.f64 -1/9 (.f64 (.f64 (pow.f64 (/.f64 (pow.f64 (sqrt.f64 2) 11) (pow.f64 (sin.f64 y) 7)) 1/18) (pow.f64 (/.f64 (pow.f64 (sqrt.f64 2) 11) (pow.f64 (sin.f64 y) 7)) 1/18)) (.f64 (.f64 x x) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/16) 7))))) (fma.f64 (cbrt.f64 (.f64 (sqrt.f64 2) (sin.f64 y))) (cbrt.f64 -1/16) (.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 (pow.f64 (sqrt.f64 2) 7) (pow.f64 (sin.f64 y) 2)) 1/18) (pow.f64 (/.f64 (pow.f64 (sqrt.f64 2) 7) (pow.f64 (sin.f64 y) 2)) 1/18))) (*.f64 x (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/16) 2)))))))
(fma.f64 (.f64 -1/9 (.f64 (pow.f64 (/.f64 (pow.f64 (sqrt.f64 2) 11) (pow.f64 (sin.f64 y) 7)) 1/18) (pow.f64 (/.f64 (pow.f64 (sqrt.f64 2) 11) (pow.f64 (sin.f64 y) 7)) 1/18))) (.f64 x (.f64 x (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/16) 7))))) (fma.f64 1/3 (.f64 x (.f64 (pow.f64 (/.f64 (pow.f64 (sqrt.f64 2) 7) (pow.f64 (sin.f64 y) 2)) 1/18) (.f64 (pow.f64 (/.f64 (pow.f64 (sqrt.f64 2) 7) (pow.f64 (sin.f64 y) 2)) 1/18) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/16) 2)))))) (.f64 (cbrt.f64 -1/16) (cbrt.f64 (*.f64 (sqrt.f64 2) (sin.f64 y))))))
(fma.f64 -1/9 (.f64 (.f64 x x) (.f64 (.f64 (pow.f64 (/.f64 (pow.f64 (sqrt.f64 2) 11) (pow.f64 (sin.f64 y) 7)) 1/18) (pow.f64 (/.f64 (pow.f64 (sqrt.f64 2) 11) (pow.f64 (sin.f64 y) 7)) 1/18)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/16) 7))))) (fma.f64 1/3 (.f64 x (.f64 (.f64 (pow.f64 (/.f64 (pow.f64 (sqrt.f64 2) 7) (pow.f64 (sin.f64 y) 2)) 1/18) (pow.f64 (/.f64 (pow.f64 (sqrt.f64 2) 7) (pow.f64 (sin.f64 y) 2)) 1/18)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/16) 2))))) (.f64 (cbrt.f64 -1/16) (cbrt.f64 (*.f64 (sqrt.f64 2) (sin.f64 y))))))
(+.f64 (.f64 -1/9 (.f64 (pow.f64 (/.f64 (.f64 (pow.f64 (sqrt.f64 2) 11) (pow.f64 1 4)) (pow.f64 (sin.f64 y) 7)) 1/9) (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/16) 7)) 1/3) (pow.f64 x 2)))) (+.f64 (.f64 (pow.f64 (.f64 (sqrt.f64 2) (.f64 1 (sin.f64 y))) 1/3) (cbrt.f64 -1/16)) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 (.f64 (pow.f64 (sqrt.f64 2) 7) (pow.f64 1 4)) (pow.f64 (sin.f64 y) 2)) 1/9) (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/16) 2)) 1/3) x))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 2) 2) (pow.f64 (sin.f64 y) 2))) 1/3) (/.f64 (.f64 (-.f64 (.f64 -1/6 (sqrt.f64 2)) (+.f64 (.f64 -2/9 (.f64 (pow.f64 (/.f64 (pow.f64 (sqrt.f64 2) 7) (pow.f64 (sin.f64 y) 2)) 1/3) (.f64 (pow.f64 (pow.f64 1 4) 1/9) (/.f64 1 (pow.f64 (cbrt.f64 -1/16) 2))))) (.f64 1/27 (.f64 (pow.f64 (/.f64 (.f64 (pow.f64 (sqrt.f64 2) 7) 1) (pow.f64 (sin.f64 y) 2)) 1/3) (/.f64 1 (pow.f64 (cbrt.f64 -1/16) 2)))))) (pow.f64 x 3)) (pow.f64 (cbrt.f64 -1/16) 2)))))))
(fma.f64 -1/9 (.f64 (.f64 (pow.f64 (/.f64 (pow.f64 (sqrt.f64 2) 11) (pow.f64 (sin.f64 y) 7)) 1/18) (pow.f64 (/.f64 (pow.f64 (sqrt.f64 2) 11) (pow.f64 (sin.f64 y) 7)) 1/18)) (.f64 (.f64 x x) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/16) 7))))) (fma.f64 (cbrt.f64 (.f64 (sqrt.f64 2) (sin.f64 y))) (cbrt.f64 -1/16) (.f64 1/3 (+.f64 (.f64 (.f64 (pow.f64 (/.f64 (pow.f64 (sqrt.f64 2) 7) (pow.f64 (sin.f64 y) 2)) 1/18) (pow.f64 (/.f64 (pow.f64 (sqrt.f64 2) 7) (pow.f64 (sin.f64 y) 2)) 1/18)) (.f64 x (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/16) 2))))) (.f64 (cbrt.f64 (/.f64 (/.f64 1 (pow.f64 (sqrt.f64 2) 2)) (pow.f64 (sin.f64 y) 2))) (/.f64 (-.f64 (.f64 (sqrt.f64 2) -1/6) (fma.f64 -2/9 (.f64 (cbrt.f64 (/.f64 (pow.f64 (sqrt.f64 2) 7) (pow.f64 (sin.f64 y) 2))) (/.f64 1 (pow.f64 (cbrt.f64 -1/16) 2))) (.f64 (.f64 (cbrt.f64 (/.f64 (pow.f64 (sqrt.f64 2) 7) (pow.f64 (sin.f64 y) 2))) (/.f64 1 (pow.f64 (cbrt.f64 -1/16) 2))) 1/27))) (/.f64 (pow.f64 (cbrt.f64 -1/16) 2) (pow.f64 x 3))))))))
(fma.f64 -1/9 (.f64 (.f64 x x) (.f64 (.f64 (pow.f64 (/.f64 (pow.f64 (sqrt.f64 2) 11) (pow.f64 (sin.f64 y) 7)) 1/18) (pow.f64 (/.f64 (pow.f64 (sqrt.f64 2) 11) (pow.f64 (sin.f64 y) 7)) 1/18)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/16) 7))))) (fma.f64 1/3 (fma.f64 (.f64 (pow.f64 (/.f64 (pow.f64 (sqrt.f64 2) 7) (pow.f64 (sin.f64 y) 2)) 1/18) (pow.f64 (/.f64 (pow.f64 (sqrt.f64 2) 7) (pow.f64 (sin.f64 y) 2)) 1/18)) (.f64 x (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/16) 2)))) (.f64 (cbrt.f64 (/.f64 1/2 (pow.f64 (sin.f64 y) 2))) (/.f64 (-.f64 (.f64 (sqrt.f64 2) -1/6) (.f64 (/.f64 (cbrt.f64 (/.f64 (pow.f64 (sqrt.f64 2) 7) (pow.f64 (sin.f64 y) 2))) (pow.f64 (cbrt.f64 -1/16) 2)) -5/27)) (/.f64 (pow.f64 (cbrt.f64 -1/16) 2) (pow.f64 x 3))))) (.f64 (cbrt.f64 -1/16) (cbrt.f64 (*.f64 (sqrt.f64 2) (sin.f64 y))))))
(fma.f64 -1/9 (.f64 (.f64 x x) (.f64 (.f64 (pow.f64 (/.f64 (pow.f64 (sqrt.f64 2) 11) (pow.f64 (sin.f64 y) 7)) 1/18) (pow.f64 (/.f64 (pow.f64 (sqrt.f64 2) 11) (pow.f64 (sin.f64 y) 7)) 1/18)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/16) 7))))) (fma.f64 1/3 (fma.f64 (.f64 (pow.f64 (/.f64 (pow.f64 (sqrt.f64 2) 7) (pow.f64 (sin.f64 y) 2)) 1/18) (pow.f64 (/.f64 (pow.f64 (sqrt.f64 2) 7) (pow.f64 (sin.f64 y) 2)) 1/18)) (.f64 x (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/16) 2)))) (.f64 (cbrt.f64 (/.f64 1/2 (pow.f64 (sin.f64 y) 2))) (.f64 (/.f64 (pow.f64 x 3) (pow.f64 (cbrt.f64 -1/16) 2)) (fma.f64 (sqrt.f64 2) -1/6 (.f64 (/.f64 (cbrt.f64 (/.f64 (pow.f64 (sqrt.f64 2) 7) (pow.f64 (sin.f64 y) 2))) (pow.f64 (cbrt.f64 -1/16) 2)) 5/27))))) (.f64 (cbrt.f64 -1/16) (cbrt.f64 (*.f64 (sqrt.f64 2) (sin.f64 y))))))
(pow.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x))) 1/3)
(cbrt.f64 (*.f64 (sqrt.f64 2) (fma.f64 -1/16 (sin.f64 y) (sin.f64 x))))
(pow.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x))) 1/3)
(cbrt.f64 (*.f64 (sqrt.f64 2) (fma.f64 -1/16 (sin.f64 y) (sin.f64 x))))
(pow.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x))) 1/3)
(cbrt.f64 (*.f64 (sqrt.f64 2) (fma.f64 -1/16 (sin.f64 y) (sin.f64 x))))
(pow.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x))) 1/3)
(cbrt.f64 (*.f64 (sqrt.f64 2) (fma.f64 -1/16 (sin.f64 y) (sin.f64 x))))
(pow.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x))) 1/3)
(cbrt.f64 (*.f64 (sqrt.f64 2) (fma.f64 -1/16 (sin.f64 y) (sin.f64 x))))
(pow.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x))) 1/3)
(cbrt.f64 (*.f64 (sqrt.f64 2) (fma.f64 -1/16 (sin.f64 y) (sin.f64 x))))
(pow.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x))) 1/3)
(cbrt.f64 (*.f64 (sqrt.f64 2) (fma.f64 -1/16 (sin.f64 y) (sin.f64 x))))
(pow.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x))) 1/3)
(cbrt.f64 (*.f64 (sqrt.f64 2) (fma.f64 -1/16 (sin.f64 y) (sin.f64 x))))
(pow.f64 (*.f64 (sqrt.f64 2) (sin.f64 x)) 1/3)
(cbrt.f64 (*.f64 (sqrt.f64 2) (sin.f64 x)))
(+.f64 (.f64 -1/48 (.f64 (pow.f64 (/.f64 (.f64 (pow.f64 (sqrt.f64 2) 7) 1) (pow.f64 (sin.f64 x) 2)) 1/9) y)) (pow.f64 (.f64 (sqrt.f64 2) (sin.f64 x)) 1/3))
(fma.f64 -1/48 (.f64 y (.f64 (pow.f64 (/.f64 (pow.f64 (sqrt.f64 2) 7) (pow.f64 (sin.f64 x) 2)) 1/18) (pow.f64 (/.f64 (pow.f64 (sqrt.f64 2) 7) (pow.f64 (sin.f64 x) 2)) 1/18))) (cbrt.f64 (*.f64 (sqrt.f64 2) (sin.f64 x))))
(+.f64 (.f64 -1/48 (.f64 (pow.f64 (/.f64 (.f64 (pow.f64 (sqrt.f64 2) 7) 1) (pow.f64 (sin.f64 x) 2)) 1/9) y)) (+.f64 (pow.f64 (.f64 (sqrt.f64 2) (sin.f64 x)) 1/3) (.f64 -1/2304 (.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 (sqrt.f64 2) 11) 1) (pow.f64 (sin.f64 x) 7)) 1/9) (pow.f64 y 2)))))
(+.f64 (fma.f64 -1/48 (.f64 y (.f64 (pow.f64 (/.f64 (pow.f64 (sqrt.f64 2) 7) (pow.f64 (sin.f64 x) 2)) 1/18) (pow.f64 (/.f64 (pow.f64 (sqrt.f64 2) 7) (pow.f64 (sin.f64 x) 2)) 1/18))) (cbrt.f64 (.f64 (sqrt.f64 2) (sin.f64 x)))) (.f64 -1/2304 (.f64 (.f64 y y) (*.f64 (pow.f64 (/.f64 (pow.f64 (sqrt.f64 2) 11) (pow.f64 (sin.f64 x) 7)) 1/18) (pow.f64 (/.f64 (pow.f64 (sqrt.f64 2) 11) (pow.f64 (sin.f64 x) 7)) 1/18)))))
(fma.f64 -1/48 (.f64 y (.f64 (pow.f64 (/.f64 (pow.f64 (sqrt.f64 2) 7) (pow.f64 (sin.f64 x) 2)) 1/18) (pow.f64 (/.f64 (pow.f64 (sqrt.f64 2) 7) (pow.f64 (sin.f64 x) 2)) 1/18))) (fma.f64 -1/2304 (.f64 (.f64 y y) (.f64 (pow.f64 (/.f64 (pow.f64 (sqrt.f64 2) 11) (pow.f64 (sin.f64 x) 7)) 1/18) (pow.f64 (/.f64 (pow.f64 (sqrt.f64 2) 11) (pow.f64 (sin.f64 x) 7)) 1/18))) (cbrt.f64 (.f64 (sqrt.f64 2) (sin.f64 x)))))
(fma.f64 -1/48 (.f64 y (.f64 (pow.f64 (/.f64 (pow.f64 (sqrt.f64 2) 7) (pow.f64 (sin.f64 x) 2)) 1/18) (pow.f64 (/.f64 (pow.f64 (sqrt.f64 2) 7) (pow.f64 (sin.f64 x) 2)) 1/18))) (fma.f64 -1/2304 (.f64 y (.f64 y (.f64 (pow.f64 (/.f64 (pow.f64 (sqrt.f64 2) 11) (pow.f64 (sin.f64 x) 7)) 1/18) (pow.f64 (/.f64 (pow.f64 (sqrt.f64 2) 11) (pow.f64 (sin.f64 x) 7)) 1/18)))) (cbrt.f64 (.f64 (sqrt.f64 2) (sin.f64 x)))))
(+.f64 (.f64 -1/48 (.f64 (pow.f64 (/.f64 (.f64 (pow.f64 (sqrt.f64 2) 7) 1) (pow.f64 (sin.f64 x) 2)) 1/9) y)) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 2) 2) (pow.f64 (sin.f64 x) 2))) 1/3) (.f64 (pow.f64 y 3) (-.f64 (.f64 1/96 (sqrt.f64 2)) (+.f64 (.f64 1/18432 (.f64 (pow.f64 (/.f64 (pow.f64 (sqrt.f64 2) 7) (pow.f64 (sin.f64 x) 2)) 1/3) (pow.f64 (pow.f64 1 4) 1/9))) (.f64 -1/110592 (pow.f64 (/.f64 (.f64 (pow.f64 (sqrt.f64 2) 7) 1) (pow.f64 (sin.f64 x) 2)) 1/3))))))) (+.f64 (pow.f64 (.f64 (sqrt.f64 2) (sin.f64 x)) 1/3) (.f64 -1/2304 (.f64 (pow.f64 (/.f64 (.f64 (pow.f64 (sqrt.f64 2) 11) 1) (pow.f64 (sin.f64 x) 7)) 1/9) (pow.f64 y 2))))))
(fma.f64 -1/48 (.f64 y (.f64 (pow.f64 (/.f64 (pow.f64 (sqrt.f64 2) 7) (pow.f64 (sin.f64 x) 2)) 1/18) (pow.f64 (/.f64 (pow.f64 (sqrt.f64 2) 7) (pow.f64 (sin.f64 x) 2)) 1/18))) (fma.f64 1/3 (.f64 (.f64 (cbrt.f64 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 2) 2) (pow.f64 (sin.f64 x) 2)))) (pow.f64 y 3)) (-.f64 (.f64 (sqrt.f64 2) 1/96) (fma.f64 1/18432 (.f64 1 (cbrt.f64 (/.f64 (pow.f64 (sqrt.f64 2) 7) (pow.f64 (sin.f64 x) 2)))) (.f64 (cbrt.f64 (/.f64 (pow.f64 (sqrt.f64 2) 7) (pow.f64 (sin.f64 x) 2))) -1/110592)))) (+.f64 (cbrt.f64 (.f64 (sqrt.f64 2) (sin.f64 x))) (.f64 -1/2304 (.f64 (.f64 y y) (*.f64 (pow.f64 (/.f64 (pow.f64 (sqrt.f64 2) 11) (pow.f64 (sin.f64 x) 7)) 1/18) (pow.f64 (/.f64 (pow.f64 (sqrt.f64 2) 11) (pow.f64 (sin.f64 x) 7)) 1/18)))))))
(fma.f64 -1/48 (.f64 y (.f64 (pow.f64 (/.f64 (pow.f64 (sqrt.f64 2) 7) (pow.f64 (sin.f64 x) 2)) 1/18) (pow.f64 (/.f64 (pow.f64 (sqrt.f64 2) 7) (pow.f64 (sin.f64 x) 2)) 1/18))) (fma.f64 1/3 (.f64 (-.f64 (.f64 (sqrt.f64 2) 1/96) (fma.f64 1/18432 (cbrt.f64 (/.f64 (pow.f64 (sqrt.f64 2) 7) (pow.f64 (sin.f64 x) 2))) (.f64 (cbrt.f64 (/.f64 (pow.f64 (sqrt.f64 2) 7) (pow.f64 (sin.f64 x) 2))) -1/110592))) (.f64 (pow.f64 y 3) (cbrt.f64 (/.f64 1/2 (pow.f64 (sin.f64 x) 2))))) (fma.f64 -1/2304 (.f64 (.f64 y y) (.f64 (pow.f64 (/.f64 (pow.f64 (sqrt.f64 2) 11) (pow.f64 (sin.f64 x) 7)) 1/18) (pow.f64 (/.f64 (pow.f64 (sqrt.f64 2) 11) (pow.f64 (sin.f64 x) 7)) 1/18))) (cbrt.f64 (.f64 (sqrt.f64 2) (sin.f64 x))))))
(fma.f64 -1/48 (.f64 y (.f64 (pow.f64 (/.f64 (pow.f64 (sqrt.f64 2) 7) (pow.f64 (sin.f64 x) 2)) 1/18) (pow.f64 (/.f64 (pow.f64 (sqrt.f64 2) 7) (pow.f64 (sin.f64 x) 2)) 1/18))) (fma.f64 1/3 (.f64 (-.f64 (.f64 (sqrt.f64 2) 1/96) (.f64 (cbrt.f64 (/.f64 (pow.f64 (sqrt.f64 2) 7) (pow.f64 (sin.f64 x) 2))) 5/110592)) (.f64 (pow.f64 y 3) (cbrt.f64 (/.f64 1/2 (pow.f64 (sin.f64 x) 2))))) (fma.f64 -1/2304 (.f64 y (.f64 y (.f64 (pow.f64 (/.f64 (pow.f64 (sqrt.f64 2) 11) (pow.f64 (sin.f64 x) 7)) 1/18) (pow.f64 (/.f64 (pow.f64 (sqrt.f64 2) 11) (pow.f64 (sin.f64 x) 7)) 1/18)))) (cbrt.f64 (.f64 (sqrt.f64 2) (sin.f64 x))))))
(pow.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x))) 1/3)
(cbrt.f64 (*.f64 (sqrt.f64 2) (fma.f64 -1/16 (sin.f64 y) (sin.f64 x))))
(pow.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x))) 1/3)
(cbrt.f64 (*.f64 (sqrt.f64 2) (fma.f64 -1/16 (sin.f64 y) (sin.f64 x))))
(pow.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x))) 1/3)
(cbrt.f64 (*.f64 (sqrt.f64 2) (fma.f64 -1/16 (sin.f64 y) (sin.f64 x))))
(pow.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x))) 1/3)
(cbrt.f64 (*.f64 (sqrt.f64 2) (fma.f64 -1/16 (sin.f64 y) (sin.f64 x))))
(pow.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x))) 1/3)
(cbrt.f64 (*.f64 (sqrt.f64 2) (fma.f64 -1/16 (sin.f64 y) (sin.f64 x))))
(pow.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x))) 1/3)
(cbrt.f64 (*.f64 (sqrt.f64 2) (fma.f64 -1/16 (sin.f64 y) (sin.f64 x))))
(pow.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x))) 1/3)
(cbrt.f64 (*.f64 (sqrt.f64 2) (fma.f64 -1/16 (sin.f64 y) (sin.f64 x))))
(pow.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x))) 1/3)
(cbrt.f64 (*.f64 (sqrt.f64 2) (fma.f64 -1/16 (sin.f64 y) (sin.f64 x))))

localize182.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
	1.0b	(-.f64 3 (sqrt.f64 5))
✓	1.1b	(cbrt.f64 (*.f64 (pow.f64 (fma.f64 (sqrt.f64 5) 1/2 -1/2) 3) (pow.f64 (cos.f64 x) 3)))
	1.4b	(-.f64 (cos.f64 x) (cos.f64 y))
✓	1.6b	(pow.f64 (fma.f64 (sqrt.f64 5) 1/2 -1/2) 3)

Compiler

Compiled 309 to 214 computations (30.7% saved)

series2.0ms (0%)

Counts

2 → 12

Calls

3 calls:

Time

Variable

Point

Expression

1.0ms

(cbrt.f64 (*.f64 (pow.f64 (fma.f64 (sqrt.f64 5) 1/2 -1/2) 3) (pow.f64 (cos.f64 x) 3)))

1.0ms

inf

(cbrt.f64 (*.f64 (pow.f64 (fma.f64 (sqrt.f64 5) 1/2 -1/2) 3) (pow.f64 (cos.f64 x) 3)))

0.0ms

-inf

(cbrt.f64 (*.f64 (pow.f64 (fma.f64 (sqrt.f64 5) 1/2 -1/2) 3) (pow.f64 (cos.f64 x) 3)))

rewrite123.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

490×	`log-prod_binary64`
388×	`prod-exp_binary64`
367×	`exp-prod_binary64`
325×	`pow-prod-down_binary64`
282×	`pow2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	22
1	277	22
2	2781	22

Stop Event

1×	node limit

Counts

2 → 86

Calls

Call 1

Inputs
(pow.f64 (fma.f64 (sqrt.f64 5) 1/2 -1/2) 3)
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 (sqrt.f64 5) 1/2 -1/2) 3) (pow.f64 (cos.f64 x) 3)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (fma.f64 (sqrt.f64 5) 1/2 -1/2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (sqrt.f64 5) 1/2) (pow.f64 (fma.f64 (sqrt.f64 5) 1/2 -1/2) 2)) (*.f64 -1/2 (pow.f64 (fma.f64 (sqrt.f64 5) 1/2 -1/2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 (fma.f64 (sqrt.f64 5) 1/2 -1/2) 2) (*.f64 (sqrt.f64 5) 1/2)) (*.f64 (pow.f64 (fma.f64 (sqrt.f64 5) 1/2 -1/2) 2) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (fma.f64 (sqrt.f64 5) 1/2 -1/2) 3))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (fma.f64 (sqrt.f64 5) 1/2 -1/2) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (fma.f64 (sqrt.f64 5) 1/2 -1/2) 3)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (fma.f64 (sqrt.f64 5) 1/2 -1/2) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (fma.f64 (sqrt.f64 5) 1/2 -1/2) 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (sqrt.f64 5) 1/2 -1/2) (pow.f64 (fma.f64 (sqrt.f64 5) 1/2 -1/2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 (sqrt.f64 5) 1/2 -1/2) 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (fma.f64 (sqrt.f64 5) 1/2 -1/2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 (sqrt.f64 5) 1/2 -1/2) 2) (fma.f64 (sqrt.f64 5) 1/2 -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (sqrt.f64 5) 1/2 -1/2)) 2) (*.f64 (cbrt.f64 (fma.f64 (sqrt.f64 5) 1/2 -1/2)) (pow.f64 (fma.f64 (sqrt.f64 5) 1/2 -1/2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (sqrt.f64 5) 1/2 -1/2)) (pow.f64 (fma.f64 (sqrt.f64 5) 1/2 -1/2) 5/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 (sqrt.f64 5) 1/2 -1/2) 3/2) (pow.f64 (fma.f64 (sqrt.f64 5) 1/2 -1/2) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 (sqrt.f64 5) 1/2 -1/2) 5/2) (sqrt.f64 (fma.f64 (sqrt.f64 5) 1/2 -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (fma.f64 (sqrt.f64 5) 1/2 -1/2) 2) 1) (fma.f64 (sqrt.f64 5) 1/2 -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (fma.f64 (sqrt.f64 5) 1/2 -1/2) (cbrt.f64 (fma.f64 (sqrt.f64 5) 1/2 -1/2))) 2) (cbrt.f64 (fma.f64 (sqrt.f64 5) 1/2 -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (sqrt.f64 5) 1/2 -1/2) 6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (fma.f64 (sqrt.f64 5) 1/2 -1/2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (fma.f64 (sqrt.f64 5) 1/2 -1/2) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (sqrt.f64 5) 1/2 -1/2) 9))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (fma.f64 (sqrt.f64 5) 1/2 -1/2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (fma.f64 (sqrt.f64 5) 1/2 -1/2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 3 (log.f64 (fma.f64 (sqrt.f64 5) 1/2 -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 (sqrt.f64 5) 1/2 -1/2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 (sqrt.f64 5) 1/2 -1/2) 9)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (fma.f64 (sqrt.f64 5) 1/2 -1/2))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3/2 (log.f64 (fma.f64 (sqrt.f64 5) 1/2 -1/2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 (sqrt.f64 5) 1/2 -1/2)) 1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 (sqrt.f64 5) 1/2 -1/2))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 (sqrt.f64 5) 1/2 -1/2)) 3/2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (fma.f64 (sqrt.f64 5) 1/2 -1/2)) 1) (*.f64 2 (log.f64 (fma.f64 (sqrt.f64 5) 1/2 -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 2 (log.f64 (fma.f64 (sqrt.f64 5) 1/2 -1/2))) (*.f64 (log.f64 (fma.f64 (sqrt.f64 5) 1/2 -1/2)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (fma.f64 (sqrt.f64 5) 1/2 -1/2)) 3/2) (*.f64 3/2 (log.f64 (fma.f64 (sqrt.f64 5) 1/2 -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 3/2 (log.f64 (fma.f64 (sqrt.f64 5) 1/2 -1/2))) (*.f64 (log.f64 (fma.f64 (sqrt.f64 5) 1/2 -1/2)) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (fma.f64 (sqrt.f64 5) 1/2 -1/2)) 3/2) (*.f64 (log.f64 (fma.f64 (sqrt.f64 5) 1/2 -1/2)) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (fma.f64 (sqrt.f64 5) 1/2 -1/2) 2) (*.f64 (sqrt.f64 5) 1/2) (*.f64 (pow.f64 (fma.f64 (sqrt.f64 5) 1/2 -1/2) 2) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 5) 1/2) (pow.f64 (fma.f64 (sqrt.f64 5) 1/2 -1/2) 2) (*.f64 -1/2 (pow.f64 (fma.f64 (sqrt.f64 5) 1/2 -1/2) 2)))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (fma.f64 (sqrt.f64 5) 1/2 -1/2) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 (sqrt.f64 5) 1/2 -1/2)) (cos.f64 x))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 (sqrt.f64 5) 1/2 -1/2)) (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 (sqrt.f64 5) 1/2 -1/2)) (cos.f64 x)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 (sqrt.f64 5) 1/2 -1/2)) (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (fma.f64 (sqrt.f64 5) 1/2 -1/2) (cos.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (sqrt.f64 5) 1/2 -1/2) (cos.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 x) (fma.f64 (sqrt.f64 5) 1/2 -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (fma.f64 (sqrt.f64 5) 1/2 -1/2) (cos.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (fma.f64 (sqrt.f64 5) 1/2 -1/2) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (sqrt.f64 5) 1/2 -1/2)) 2) (*.f64 (cbrt.f64 (fma.f64 (sqrt.f64 5) 1/2 -1/2)) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (fma.f64 (sqrt.f64 5) 1/2 -1/2) (cos.f64 x))) (pow.f64 (cbrt.f64 (*.f64 (fma.f64 (sqrt.f64 5) 1/2 -1/2) (cos.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (fma.f64 (sqrt.f64 5) 1/2 -1/2) (cos.f64 x))) 2) (cbrt.f64 (*.f64 (fma.f64 (sqrt.f64 5) 1/2 -1/2) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (sqrt.f64 5) 1/2 -1/2)) (*.f64 (sqrt.f64 (fma.f64 (sqrt.f64 5) 1/2 -1/2)) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (fma.f64 (sqrt.f64 5) 1/2 -1/2) (cos.f64 x))) (sqrt.f64 (*.f64 (fma.f64 (sqrt.f64 5) 1/2 -1/2) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (fma.f64 (sqrt.f64 5) 1/2 -1/2) (pow.f64 (cbrt.f64 (cos.f64 x)) 2)) (cbrt.f64 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (fma.f64 (sqrt.f64 5) 1/2 -1/2) (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (fma.f64 (sqrt.f64 5) 1/2 -1/2) (cos.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (fma.f64 (sqrt.f64 5) 1/2 -1/2) (cos.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (fma.f64 (sqrt.f64 5) 1/2 -1/2) (cos.f64 x)) 6) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (fma.f64 (sqrt.f64 5) 1/2 -1/2) (cos.f64 x)) 9) 1/9)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (fma.f64 (sqrt.f64 5) 1/2 -1/2) (cos.f64 x)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (fma.f64 (sqrt.f64 5) 1/2 -1/2) (cos.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (fma.f64 (sqrt.f64 5) 1/2 -1/2) (cos.f64 x)) 3/2) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (fma.f64 (sqrt.f64 5) 1/2 -1/2) (cos.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1/3) (*.f64 3 (log.f64 (*.f64 (fma.f64 (sqrt.f64 5) 1/2 -1/2) (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (*.f64 (fma.f64 (sqrt.f64 5) 1/2 -1/2) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (cbrt.f64 (cos.f64 x)) (cbrt.f64 (fma.f64 (sqrt.f64 5) 1/2 -1/2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 (cos.f64 x)) (sqrt.f64 (fma.f64 (sqrt.f64 5) 1/2 -1/2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (fma.f64 (sqrt.f64 5) 1/2 -1/2) (cos.f64 x)))) 2)) (cbrt.f64 (log.f64 (*.f64 (fma.f64 (sqrt.f64 5) 1/2 -1/2) (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (fma.f64 (sqrt.f64 5) 1/2 -1/2) (cos.f64 x))))) (sqrt.f64 (log.f64 (*.f64 (fma.f64 (sqrt.f64 5) 1/2 -1/2) (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (fma.f64 (sqrt.f64 5) 1/2 -1/2) (cos.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (fma.f64 (sqrt.f64 5) 1/2 -1/2)) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (fma.f64 (sqrt.f64 5) 1/2 -1/2) (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (fma.f64 (sqrt.f64 5) 1/2 -1/2) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (fma.f64 (sqrt.f64 5) 1/2 -1/2) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (fma.f64 (sqrt.f64 5) 1/2 -1/2) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 (fma.f64 (sqrt.f64 5) 1/2 -1/2) (cos.f64 x)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 (sqrt.f64 5) 1/2 -1/2) (cos.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (fma.f64 (sqrt.f64 5) 1/2 -1/2) (cos.f64 x)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (fma.f64 (sqrt.f64 5) 1/2 -1/2) (cos.f64 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 (fma.f64 (sqrt.f64 5) 1/2 -1/2) (cos.f64 x)))) 1) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (fma.f64 (sqrt.f64 5) 1/2 -1/2) (cos.f64 x))) 3) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 (fma.f64 (sqrt.f64 5) 1/2 -1/2) (cos.f64 x)))) 1/3) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (fma.f64 (sqrt.f64 5) 1/2 -1/2) (cos.f64 x))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (fma.f64 (sqrt.f64 5) 1/2 -1/2)) 1) (log.f64 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (fma.f64 (sqrt.f64 5) 1/2 -1/2)) (*.f64 (log.f64 (cos.f64 x)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (fma.f64 (sqrt.f64 5) 1/2 -1/2)) 1) (*.f64 (log.f64 (cos.f64 x)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (cos.f64 x)) 1) (log.f64 (fma.f64 (sqrt.f64 5) 1/2 -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (cos.f64 x)) (*.f64 (log.f64 (fma.f64 (sqrt.f64 5) 1/2 -1/2)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (cos.f64 x)) 1) (*.f64 (log.f64 (fma.f64 (sqrt.f64 5) 1/2 -1/2)) 1)))))))

simplify49.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

842×	`fma-neg_binary64`
684×	`associate-l_binary64`
601×	`associate-r_binary64`
572×	`distribute-rgt-in_binary64`
530×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	33	226
1	84	213
2	266	195
3	1219	179
4	4787	179

Stop Event

1×	node limit

Counts

98 → 96

Calls

Call 1

Inputs
(-.f64 (*.f64 1/2 (sqrt.f64 5)) 1/2)
(-.f64 (+.f64 (.f64 -1/2 (.f64 (pow.f64 x 2) (-.f64 (.f64 1/2 (sqrt.f64 5)) 1/2))) (.f64 1/2 (sqrt.f64 5))) 1/2)
(-.f64 (+.f64 (.f64 -1/2 (.f64 (pow.f64 x 2) (-.f64 (.f64 1/2 (sqrt.f64 5)) 1/2))) (+.f64 (.f64 1/2 (sqrt.f64 5)) (.f64 1/24 (.f64 (pow.f64 x 4) (-.f64 (*.f64 1/2 (sqrt.f64 5)) 1/2))))) 1/2)
(-.f64 (+.f64 (.f64 -1/2 (.f64 (pow.f64 x 2) (-.f64 (.f64 1/2 (sqrt.f64 5)) 1/2))) (+.f64 (.f64 1/2 (sqrt.f64 5)) (+.f64 (.f64 1/24 (.f64 (pow.f64 x 4) (-.f64 (.f64 1/2 (sqrt.f64 5)) 1/2))) (.f64 -1/720 (.f64 (pow.f64 x 6) (-.f64 (.f64 1/2 (sqrt.f64 5)) 1/2)))))) 1/2)
(.f64 (cos.f64 x) (-.f64 (.f64 1/2 (sqrt.f64 5)) 1/2))
(.f64 (cos.f64 x) (-.f64 (.f64 1/2 (sqrt.f64 5)) 1/2))
(.f64 (cos.f64 x) (-.f64 (.f64 1/2 (sqrt.f64 5)) 1/2))
(.f64 (cos.f64 x) (-.f64 (.f64 1/2 (sqrt.f64 5)) 1/2))
(.f64 (cos.f64 x) (-.f64 (.f64 1/2 (sqrt.f64 5)) 1/2))
(.f64 (cos.f64 x) (-.f64 (.f64 1/2 (sqrt.f64 5)) 1/2))
(.f64 (cos.f64 x) (-.f64 (.f64 1/2 (sqrt.f64 5)) 1/2))
(.f64 (cos.f64 x) (-.f64 (.f64 1/2 (sqrt.f64 5)) 1/2))

Outputs
(-.f64 (*.f64 1/2 (sqrt.f64 5)) 1/2)
(fma.f64 1/2 (sqrt.f64 5) -1/2)
(-.f64 (+.f64 (.f64 -1/2 (.f64 (pow.f64 x 2) (-.f64 (.f64 1/2 (sqrt.f64 5)) 1/2))) (.f64 1/2 (sqrt.f64 5))) 1/2)
(+.f64 (.f64 -1/2 (.f64 (fma.f64 1/2 (sqrt.f64 5) -1/2) (*.f64 x x))) (fma.f64 1/2 (sqrt.f64 5) -1/2))
(.f64 (+.f64 (.f64 -1/2 (*.f64 x x)) 1) (fma.f64 1/2 (sqrt.f64 5) -1/2))
(.f64 (fma.f64 1/2 (sqrt.f64 5) -1/2) (fma.f64 -1/2 (.f64 x x) 1))
(-.f64 (+.f64 (.f64 -1/2 (.f64 (pow.f64 x 2) (-.f64 (.f64 1/2 (sqrt.f64 5)) 1/2))) (+.f64 (.f64 1/2 (sqrt.f64 5)) (.f64 1/24 (.f64 (pow.f64 x 4) (-.f64 (*.f64 1/2 (sqrt.f64 5)) 1/2))))) 1/2)
(+.f64 (fma.f64 -1/2 (.f64 (fma.f64 1/2 (sqrt.f64 5) -1/2) (.f64 x x)) (fma.f64 1/2 (sqrt.f64 5) (.f64 1/24 (.f64 (fma.f64 1/2 (sqrt.f64 5) -1/2) (pow.f64 x 4))))) -1/2)
(+.f64 -1/2 (fma.f64 (.f64 -1/2 (.f64 x x)) (fma.f64 1/2 (sqrt.f64 5) -1/2) (fma.f64 1/2 (sqrt.f64 5) (.f64 (fma.f64 1/2 (sqrt.f64 5) -1/2) (.f64 1/24 (pow.f64 x 4))))))
(+.f64 (fma.f64 1/2 (sqrt.f64 5) -1/2) (.f64 (fma.f64 1/2 (sqrt.f64 5) -1/2) (+.f64 (.f64 -1/2 (.f64 x x)) (.f64 1/24 (pow.f64 x 4)))))
(.f64 (fma.f64 1/2 (sqrt.f64 5) -1/2) (+.f64 (fma.f64 -1/2 (.f64 x x) 1) (*.f64 1/24 (pow.f64 x 4))))
(-.f64 (+.f64 (.f64 -1/2 (.f64 (pow.f64 x 2) (-.f64 (.f64 1/2 (sqrt.f64 5)) 1/2))) (+.f64 (.f64 1/2 (sqrt.f64 5)) (+.f64 (.f64 1/24 (.f64 (pow.f64 x 4) (-.f64 (.f64 1/2 (sqrt.f64 5)) 1/2))) (.f64 -1/720 (.f64 (pow.f64 x 6) (-.f64 (.f64 1/2 (sqrt.f64 5)) 1/2)))))) 1/2)
(+.f64 (fma.f64 -1/2 (.f64 (fma.f64 1/2 (sqrt.f64 5) -1/2) (.f64 x x)) (fma.f64 1/2 (sqrt.f64 5) (fma.f64 1/24 (.f64 (fma.f64 1/2 (sqrt.f64 5) -1/2) (pow.f64 x 4)) (.f64 -1/720 (*.f64 (fma.f64 1/2 (sqrt.f64 5) -1/2) (pow.f64 x 6)))))) -1/2)
(+.f64 -1/2 (fma.f64 -1/2 (.f64 (fma.f64 1/2 (sqrt.f64 5) -1/2) (.f64 x x)) (fma.f64 1/2 (sqrt.f64 5) (.f64 (fma.f64 1/2 (sqrt.f64 5) -1/2) (+.f64 (.f64 1/24 (pow.f64 x 4)) (*.f64 -1/720 (pow.f64 x 6)))))))
(+.f64 (fma.f64 1/2 (sqrt.f64 5) -1/2) (.f64 (fma.f64 1/2 (sqrt.f64 5) -1/2) (+.f64 (fma.f64 -1/720 (pow.f64 x 6) (.f64 1/24 (pow.f64 x 4))) (.f64 -1/2 (.f64 x x)))))
(.f64 (fma.f64 1/2 (sqrt.f64 5) -1/2) (+.f64 (fma.f64 -1/2 (.f64 x x) 1) (fma.f64 1/24 (pow.f64 x 4) (*.f64 -1/720 (pow.f64 x 6)))))
(.f64 (cos.f64 x) (-.f64 (.f64 1/2 (sqrt.f64 5)) 1/2))
(*.f64 (fma.f64 1/2 (sqrt.f64 5) -1/2) (cos.f64 x))
(.f64 (cos.f64 x) (-.f64 (.f64 1/2 (sqrt.f64 5)) 1/2))
(*.f64 (fma.f64 1/2 (sqrt.f64 5) -1/2) (cos.f64 x))
(.f64 (cos.f64 x) (-.f64 (.f64 1/2 (sqrt.f64 5)) 1/2))
(*.f64 (fma.f64 1/2 (sqrt.f64 5) -1/2) (cos.f64 x))
(.f64 (cos.f64 x) (-.f64 (.f64 1/2 (sqrt.f64 5)) 1/2))
(*.f64 (fma.f64 1/2 (sqrt.f64 5) -1/2) (cos.f64 x))
(.f64 (cos.f64 x) (-.f64 (.f64 1/2 (sqrt.f64 5)) 1/2))
(*.f64 (fma.f64 1/2 (sqrt.f64 5) -1/2) (cos.f64 x))
(.f64 (cos.f64 x) (-.f64 (.f64 1/2 (sqrt.f64 5)) 1/2))
(*.f64 (fma.f64 1/2 (sqrt.f64 5) -1/2) (cos.f64 x))
(.f64 (cos.f64 x) (-.f64 (.f64 1/2 (sqrt.f64 5)) 1/2))
(*.f64 (fma.f64 1/2 (sqrt.f64 5) -1/2) (cos.f64 x))
(.f64 (cos.f64 x) (-.f64 (.f64 1/2 (sqrt.f64 5)) 1/2))
(*.f64 (fma.f64 1/2 (sqrt.f64 5) -1/2) (cos.f64 x))

eval2.2s (6.7%)

Compiler: Compiled 54201 to 37656 computations (30.5% saved)

prune305.0ms (0.9%)

Pruning

56 alts after pruning (55 fresh and 1 done)

	Pruned	Kept	Total
New	856	40	896
Fresh	14	15	29
Picked	1	0	1
Done	4	1	5
Total	875	56	931

Error

0.0b

Counts

931 → 56

Alt Table

Click to see full alt table

Status	Error	Program
	32.5b	(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (+.f64 (sin.f64 x) (.f64 y -1/16))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (*.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
	0.5b	(/.f64 (fma.f64 (sqrt.f64 2) (.f64 (+.f64 (sin.f64 y) (.f64 -1/16 (sin.f64 x))) (.f64 (+.f64 (sin.f64 x) (.f64 -1/16 (sin.f64 y))) (pow.f64 (cbrt.f64 (-.f64 (cos.f64 x) (cos.f64 y))) 3))) 2) (fma.f64 (cos.f64 x) (/.f64 (+.f64 (sqrt.f64 5) -1) 2/3) (fma.f64 (cos.f64 y) (-.f64 9/2 (/.f64 (sqrt.f64 5) 2/3)) 3)))
	24.1b	(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (sin.f64 x)) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (/.f64 (cos.f64 x) (.f64 1/2 (+.f64 (sqrt.f64 5) 1)))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
▶	26.7b	(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (.f64 6 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1)))) (*.f64 3/2 (sqrt.f64 5))))
	0.5b	(/.f64 (+.f64 2 (.f64 (log.f64 (pow.f64 (exp.f64 (sqrt.f64 2)) (.f64 (fma.f64 (sin.f64 y) -1/16 (sin.f64 x)) (fma.f64 (sin.f64 x) -1/16 (sin.f64 y))))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (*.f64 (/.f64 (/.f64 4 (+.f64 3 (sqrt.f64 5))) 2) (cos.f64 y)))))
	29.6b	(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (sin.f64 y)) (+.f64 (.f64 x 257/256) (.f64 -1/16 (sin.f64 y)))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (/.f64 4 (+.f64 3 (sqrt.f64 5))) 2) (cos.f64 y)))))
▶	24.1b	(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (sin.f64 x)) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (/.f64 1 (/.f64 2 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1))))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
	24.1b	(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (sin.f64 x)) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (/.f64 4 (+.f64 3 (sqrt.f64 5))) 2) (cos.f64 y)))))
	0.5b	(/.f64 (fma.f64 (sqrt.f64 2) (.f64 (+.f64 (sin.f64 y) (.f64 -1/16 (sin.f64 x))) (.f64 (+.f64 (sin.f64 x) (.f64 -1/16 (sin.f64 y))) (-.f64 (cos.f64 x) (cos.f64 y)))) 2) (fma.f64 (cos.f64 x) (/.f64 (+.f64 (sqrt.f64 5) -1) 2/3) (fma.f64 (cos.f64 y) (+.f64 (neg.f64 (sqrt.f64 45/4)) 9/2) 3)))
	29.5b	(/.f64 (+.f64 2 (.f64 (.f64 (sqrt.f64 (.f64 2 (pow.f64 (sin.f64 x) 2))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
	0.5b	(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (/.f64 1 (/.f64 2 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1))))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
	25.1b	(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) 1))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
	24.1b	(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (sin.f64 x)) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (/.f64 (+.f64 (sqrt.f64 5) -1) (/.f64 2 (cos.f64 x)))) (*.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
	0.4b	(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (/.f64 (cos.f64 x) (.f64 1/2 (+.f64 (sqrt.f64 5) 1)))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
	24.1b	(/.f64 (+.f64 2 (.f64 (.f64 (sqrt.f64 2) (.f64 -1/16 (pow.f64 (sin.f64 y) 2))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (/.f64 4 (+.f64 3 (sqrt.f64 5))) 2) (cos.f64 y)))))
	0.9b	(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (pow.f64 (.f64 (cbrt.f64 (cos.f64 x)) (cbrt.f64 (fma.f64 (sqrt.f64 5) 1/2 -1/2))) 3)) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
	0.6b	(log.f64 (exp.f64 (/.f64 (fma.f64 (sqrt.f64 2) (.f64 (fma.f64 -1/16 (sin.f64 x) (sin.f64 y)) (.f64 (fma.f64 (sin.f64 y) -1/16 (sin.f64 x)) (-.f64 (cos.f64 x) (cos.f64 y)))) 2) (fma.f64 (cos.f64 x) (/.f64 1 (fma.f64 1/6 (sqrt.f64 5) 1/6)) (fma.f64 (cos.f64 y) (-.f64 9/2 (*.f64 (sqrt.f64 5) 3/2)) 3)))))
	35.7b	(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (sin.f64 x)) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 1 (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
	24.0b	(/.f64 (+.f64 2 (.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 (sqrt.f64 2) (+.f64 (sin.f64 x) (.f64 (sin.f64 y) -1/16)))) 3) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 1 (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (*.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
	32.4b	(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (+.f64 (sin.f64 x) (.f64 y -1/16))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (*.f64 (/.f64 (/.f64 4 (+.f64 3 (sqrt.f64 5))) 2) (cos.f64 y)))))
	0.5b	(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (cbrt.f64 (pow.f64 (.f64 (cos.f64 x) (fma.f64 (sqrt.f64 5) 1/2 -1/2)) 3))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
	0.6b	(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (.f64 (fma.f64 (sqrt.f64 5) 1/2 -1/2) (pow.f64 (cbrt.f64 (cos.f64 x)) 2)) (cbrt.f64 (cos.f64 x)))) (*.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
	0.4b	(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (/.f64 (cos.f64 x) (.f64 1/2 (+.f64 (sqrt.f64 5) 1)))) (.f64 (/.f64 (/.f64 4 (+.f64 3 (sqrt.f64 5))) 2) (cos.f64 y)))))
	26.0b	(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (-.f64 (.f64 1/2 (sqrt.f64 5)) 1/2)) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
▶	0.5b	(/.f64 (+.f64 2 (.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 (sqrt.f64 2) (+.f64 (sin.f64 x) (.f64 (sin.f64 y) -1/16)))) 3) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (log1p.f64 (expm1.f64 (-.f64 (cos.f64 x) (cos.f64 y)))))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (*.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
	37.6b	(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (sin.f64 x)) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 1/2 (-.f64 (sqrt.f64 5) 1))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
	0.5b	(pow.f64 (/.f64 (fma.f64 (cos.f64 x) (/.f64 1 (fma.f64 1/6 (sqrt.f64 5) 1/6)) (fma.f64 (cos.f64 y) (-.f64 9/2 (.f64 (sqrt.f64 5) 3/2)) 3)) (fma.f64 (sqrt.f64 2) (.f64 (fma.f64 -1/16 (sin.f64 x) (sin.f64 y)) (*.f64 (fma.f64 (sin.f64 y) -1/16 (sin.f64 x)) (-.f64 (cos.f64 x) (cos.f64 y)))) 2)) -1)
	26.2b	(/.f64 (fma.f64 (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2)) (.f64 -1/16 (sqrt.f64 2)) 2) (+.f64 (/.f64 6 (+.f64 1 (sqrt.f64 5))) (fma.f64 (fma.f64 (sqrt.f64 5) -3/2 9/2) (cos.f64 y) 3)))
	0.5b	(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (pow.f64 (cbrt.f64 (-.f64 (cos.f64 x) (cos.f64 y))) 3))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
	30.2b	(/.f64 (+.f64 2 (.f64 (.f64 (sin.f64 x) (.f64 (sqrt.f64 2) (+.f64 (.f64 -1/16 (sin.f64 x)) (.f64 y 257/256)))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (/.f64 4 (+.f64 3 (sqrt.f64 5))) 2) (cos.f64 y)))))
	26.3b	(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2))))) (+.f64 3 (+.f64 (.f64 6 (/.f64 1 (+.f64 (sqrt.f64 5) 1))) (.f64 (cos.f64 y) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5)))))))
	7.2b	(/.f64 (+.f64 2 (.f64 (.f64 (-.f64 (exp.f64 (log1p.f64 (.f64 (sqrt.f64 2) (+.f64 (sin.f64 x) (.f64 (sin.f64 y) -1/16))))) 1) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (*.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
	24.1b	(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (.f64 -1/16 (sin.f64 y))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (*.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
	0.6b	(/.f64 (fma.f64 (sqrt.f64 2) (.f64 (+.f64 (sin.f64 y) (.f64 -1/16 (sin.f64 x))) (.f64 (+.f64 (sin.f64 x) (.f64 -1/16 (sin.f64 y))) (-.f64 (cos.f64 x) (cos.f64 y)))) 2) (fma.f64 (cos.f64 x) (expm1.f64 (log1p.f64 (*.f64 (+.f64 (sqrt.f64 5) -1) 3/2))) (fma.f64 (cos.f64 y) (-.f64 9/2 (/.f64 (sqrt.f64 5) 2/3)) 3)))
	25.1b	(/.f64 (fma.f64 (sqrt.f64 2) (.f64 (+.f64 (sin.f64 y) (.f64 -1/16 (sin.f64 x))) (.f64 (sin.f64 x) (-.f64 (cos.f64 x) 1))) 2) (fma.f64 (cos.f64 x) (pow.f64 (.f64 1/6 (+.f64 (sqrt.f64 5) 1)) -1) (fma.f64 (cos.f64 y) (-.f64 9/2 (/.f64 (sqrt.f64 5) 2/3)) 3)))
	0.6b	(/.f64 (+.f64 2 (.f64 (.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (sqrt.f64 2) (fma.f64 (sin.f64 y) -1/16 (sin.f64 x))))) 3) 3) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
✓	0.5b	(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
	25.1b	(/.f64 (+.f64 2 (.f64 (.f64 (pow.f64 (sin.f64 x) 2) (.f64 -1/16 (sqrt.f64 2))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (/.f64 4 (+.f64 3 (sqrt.f64 5))) 2) (cos.f64 y)))))
▶	0.4b	(/.f64 (+.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x)) (+.f64 (.f64 -1/16 (sin.f64 x)) (sin.f64 y))))) 2) (+.f64 3 (+.f64 (.f64 (cos.f64 y) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5)))) (.f64 6 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1))))))
	0.9b	(/.f64 (fma.f64 (sqrt.f64 2) (.f64 (+.f64 (sin.f64 y) (.f64 -1/16 (sin.f64 x))) (.f64 (+.f64 (sin.f64 x) (.f64 -1/16 (sin.f64 y))) (-.f64 (cos.f64 x) (cos.f64 y)))) 2) (fma.f64 (cos.f64 x) (.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 5) -1)) 2) (.f64 (cbrt.f64 (+.f64 (sqrt.f64 5) -1)) 3/2)) (fma.f64 (cos.f64 y) (-.f64 9/2 (/.f64 (sqrt.f64 5) 2/3)) 3)))
	24.0b	(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 1 (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
	24.3b	(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (sin.f64 x)) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (pow.f64 (cbrt.f64 (.f64 (cos.f64 x) (fma.f64 (sqrt.f64 5) 1/2 -1/2))) 3)) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
	0.5b	(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (log.f64 (+.f64 1 (expm1.f64 (.f64 (fma.f64 (sqrt.f64 5) 1/2 -1/2) (cos.f64 x)))))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
	25.2b	(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (sin.f64 x)) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) 1))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
	1.9b	(/.f64 (+.f64 2 (.f64 (-.f64 (exp.f64 (log1p.f64 (.f64 (sqrt.f64 2) (.f64 (fma.f64 (sin.f64 y) -1/16 (sin.f64 x)) (fma.f64 (sin.f64 x) -1/16 (sin.f64 y)))))) 1) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (/.f64 4 (+.f64 3 (sqrt.f64 5))) 2) (cos.f64 y)))))
	1.3b	(.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 (sqrt.f64 2) (.f64 (fma.f64 -1/16 (sin.f64 x) (sin.f64 y)) (.f64 (fma.f64 (sin.f64 y) -1/16 (sin.f64 x)) (-.f64 (cos.f64 x) (cos.f64 y)))) 2) (fma.f64 (cos.f64 x) (/.f64 1 (fma.f64 1/6 (sqrt.f64 5) 1/6)) (fma.f64 (cos.f64 y) (-.f64 9/2 (.f64 (sqrt.f64 5) 3/2)) 3)))) 2) (cbrt.f64 (/.f64 (fma.f64 (sqrt.f64 2) (.f64 (fma.f64 -1/16 (sin.f64 x) (sin.f64 y)) (.f64 (fma.f64 (sin.f64 y) -1/16 (sin.f64 x)) (-.f64 (cos.f64 x) (cos.f64 y)))) 2) (fma.f64 (cos.f64 x) (/.f64 1 (fma.f64 1/6 (sqrt.f64 5) 1/6)) (fma.f64 (cos.f64 y) (-.f64 9/2 (*.f64 (sqrt.f64 5) 3/2)) 3)))))
	0.5b	(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (log.f64 (exp.f64 (-.f64 (cos.f64 x) (cos.f64 y)))))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (/.f64 4 (+.f64 3 (sqrt.f64 5))) 2) (cos.f64 y)))))
	0.6b	(/.f64 (+.f64 2 (.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 (sqrt.f64 2) (+.f64 (sin.f64 x) (.f64 (sin.f64 y) -1/16)))) 3) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (*.f64 (/.f64 (log.f64 (exp.f64 (-.f64 3 (sqrt.f64 5)))) 2) (cos.f64 y)))))
	0.5b	(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (/.f64 (-.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 y) 2)) (+.f64 (cos.f64 x) (cos.f64 y))))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
	0.4b	(exp.f64 (log.f64 (/.f64 (fma.f64 (sqrt.f64 2) (.f64 (fma.f64 -1/16 (sin.f64 x) (sin.f64 y)) (.f64 (fma.f64 (sin.f64 y) -1/16 (sin.f64 x)) (-.f64 (cos.f64 x) (cos.f64 y)))) 2) (fma.f64 (cos.f64 x) (/.f64 1 (fma.f64 1/6 (sqrt.f64 5) 1/6)) (fma.f64 (cos.f64 y) (-.f64 9/2 (*.f64 (sqrt.f64 5) 3/2)) 3)))))
	0.4b	(.f64 (fma.f64 (sqrt.f64 2) (.f64 (fma.f64 -1/16 (sin.f64 x) (sin.f64 y)) (.f64 (fma.f64 (sin.f64 y) -1/16 (sin.f64 x)) (-.f64 (cos.f64 x) (cos.f64 y)))) 2) (/.f64 1 (fma.f64 (cos.f64 x) (/.f64 1 (fma.f64 1/6 (sqrt.f64 5) 1/6)) (fma.f64 (cos.f64 y) (-.f64 9/2 (.f64 (sqrt.f64 5) 3/2)) 3))))
▶	24.1b	(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (sin.f64 x)) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (pow.f64 (cbrt.f64 (-.f64 (cos.f64 x) (cos.f64 y))) 3))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
	24.2b	(/.f64 (fma.f64 (sqrt.f64 2) (.f64 (+.f64 (sin.f64 y) (.f64 -1/16 (sin.f64 x))) (.f64 -1/16 (.f64 (-.f64 1 (cos.f64 y)) (sin.f64 y)))) 2) (fma.f64 (cos.f64 x) (/.f64 (+.f64 (sqrt.f64 5) -1) 2/3) (fma.f64 (cos.f64 y) (-.f64 9/2 (/.f64 (sqrt.f64 5) 2/3)) 3)))
	18.5b	(/.f64 (+.f64 2 (.f64 (.f64 (sqrt.f64 (.f64 2 (pow.f64 (+.f64 (sin.f64 x) (.f64 (sin.f64 y) -1/16)) 2))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (*.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
	29.4b	(+.f64 (.f64 -1/16 (/.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))) (-.f64 (+.f64 15/2 (.f64 6 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1)))) (.f64 3/2 (sqrt.f64 5))))) (+.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 y (.f64 (-.f64 (cos.f64 x) 1) (+.f64 (.f64 1/256 (sin.f64 x)) (sin.f64 x))))) (-.f64 (+.f64 15/2 (.f64 6 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1)))) (.f64 3/2 (sqrt.f64 5)))) (.f64 2 (/.f64 1 (-.f64 (+.f64 15/2 (.f64 6 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1)))) (.f64 3/2 (sqrt.f64 5)))))))
	25.2b	(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (sin.f64 x)) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (.f64 (.f64 (sin.f64 (.f64 (-.f64 x y) 1/2)) (sin.f64 (.f64 (+.f64 x y) 1/2))) -2))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))

Compiler

Compiled 5748 to 4534 computations (21.1% saved)

localize98.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.6b	(/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1))
✓	0.7b	(*.f64 6 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1)))
✓	1.0b	(-.f64 9/2 (*.f64 3/2 (sqrt.f64 5)))
	1.4b	(-.f64 (cos.f64 x) (cos.f64 y))

Compiler

Compiled 264 to 164 computations (37.9% saved)

series4.0ms (0%)

Counts

3 → 8

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(*.f64 6 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1)))
1.0ms	x	@	0	(*.f64 6 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1)))
1.0ms	x	@	inf	(*.f64 6 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1)))
0.0ms	x	@	0	(/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1))
0.0ms	x	@	inf	(/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1))

rewrite77.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

611×	`log-prod_binary64`
362×	`pow2_binary64`
251×	`log1p-udef_binary64`
250×	`expm1-udef_binary64`
249×	`pow1/3_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	34
1	310	31
2	3806	31

Stop Event

1×	node limit

Counts

3 → 118

Calls

Call 1

Inputs
(-.f64 9/2 (*.f64 3/2 (sqrt.f64 5)))
(*.f64 6 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1)))
(/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 9/2 (neg.f64 (sqrt.f64 45/4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 9/2 (*.f64 (neg.f64 (sqrt.f64 45/4)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 9/2 (sqrt.f64 45/4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (sqrt.f64 45/4)) 9/2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 9/2 (sqrt.f64 45/4)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (-.f64 9/2 (sqrt.f64 45/4))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 9/2 (sqrt.f64 45/4))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 9/2 (sqrt.f64 45/4))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 9/2 (sqrt.f64 45/4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 9/2 (sqrt.f64 45/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 9/2 (sqrt.f64 45/4))) (pow.f64 (cbrt.f64 (-.f64 9/2 (sqrt.f64 45/4))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 9/2 (sqrt.f64 45/4))) 2) (cbrt.f64 (-.f64 9/2 (sqrt.f64 45/4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 9/2 (sqrt.f64 45/4))) (sqrt.f64 (-.f64 9/2 (sqrt.f64 45/4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 729/8 (*.f64 (sqrt.f64 45/4) 45/4)) (/.f64 1 (+.f64 63/2 (*.f64 9/2 (sqrt.f64 45/4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 9 (/.f64 1 (+.f64 9/2 (sqrt.f64 45/4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 63/2 (*.f64 9/2 (sqrt.f64 45/4))) (-.f64 729/8 (*.f64 (sqrt.f64 45/4) 45/4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 9/2 (sqrt.f64 45/4)) 9))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 729/8 (*.f64 (sqrt.f64 45/4) 45/4)) (+.f64 63/2 (*.f64 9/2 (sqrt.f64 45/4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 9 (+.f64 9/2 (sqrt.f64 45/4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 729/8 (*.f64 (sqrt.f64 45/4) 45/4))) (neg.f64 (+.f64 63/2 (*.f64 9/2 (sqrt.f64 45/4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -9 (neg.f64 (+.f64 9/2 (sqrt.f64 45/4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 729/8 (pow.f64 (neg.f64 (sqrt.f64 45/4)) 3)) (+.f64 81/4 (-.f64 (pow.f64 (neg.f64 (sqrt.f64 45/4)) 2) (*.f64 9/2 (neg.f64 (sqrt.f64 45/4))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 81/4 (pow.f64 (neg.f64 (sqrt.f64 45/4)) 2)) (-.f64 9/2 (neg.f64 (sqrt.f64 45/4))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 9/2 (sqrt.f64 45/4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 9/2 (sqrt.f64 45/4)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 9/2 (sqrt.f64 45/4)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 9/2 (sqrt.f64 45/4))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 9/2 (sqrt.f64 45/4))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 63/2 (*.f64 9/2 (sqrt.f64 45/4))) (-.f64 729/8 (*.f64 (sqrt.f64 45/4) 45/4))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 9/2 (sqrt.f64 45/4)) 9) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 9/2 (sqrt.f64 45/4)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 9/2 (sqrt.f64 45/4))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 9/2 (sqrt.f64 45/4)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 9/2 (sqrt.f64 45/4)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 9/2 (sqrt.f64 45/4))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 9/2 (sqrt.f64 45/4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 9/2 (sqrt.f64 45/4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (-.f64 9/2 (sqrt.f64 45/4))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 3/2 (neg.f64 (sqrt.f64 5)) 9/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 5) -3/2 9/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (neg.f64 (sqrt.f64 45/4)) 9/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 45/4) (neg.f64 (cbrt.f64 (sqrt.f64 45/4))) 9/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (sqrt.f64 45/4)) (neg.f64 (sqrt.f64 (sqrt.f64 45/4))) 9/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -3/2 (sqrt.f64 5) 9/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (neg.f64 (sqrt.f64 45/4))) 2) (cbrt.f64 (neg.f64 (sqrt.f64 45/4))) 9/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (neg.f64 (sqrt.f64 45/4))) (sqrt.f64 (neg.f64 (sqrt.f64 45/4))) 9/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (sqrt.f64 45/4) 9/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (sqrt.f64 5)) 3/2 9/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (cbrt.f64 45/4)) (cbrt.f64 (sqrt.f64 45/4)) 9/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (sqrt.f64 (sqrt.f64 45/4))) (sqrt.f64 (sqrt.f64 45/4)) 9/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -3/2 (cbrt.f64 5)) (pow.f64 5 1/6) 9/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -3/2 (pow.f64 5 1/4)) (pow.f64 5 1/4) 9/2)))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 6 (/.f64 (+.f64 (sqrt.f64 5) 1) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 6 (/.f64 (+.f64 (sqrt.f64 5) 1) (cos.f64 x))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 6 (/.f64 (+.f64 (sqrt.f64 5) 1) (cos.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 6 (/.f64 (+.f64 (sqrt.f64 5) 1) (cos.f64 x)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 6 (/.f64 (+.f64 (sqrt.f64 5) 1) (cos.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 6 (/.f64 (+.f64 (sqrt.f64 5) 1) (cos.f64 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 6 (/.f64 (+.f64 (sqrt.f64 5) 1) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (sqrt.f64 5) 1) (*.f64 6 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 6 (cos.f64 x)) (+.f64 (sqrt.f64 5) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 6 (cos.f64 x))) (+.f64 -1 (neg.f64 (sqrt.f64 5))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 6 (cos.f64 x)) 1) (+.f64 (sqrt.f64 5) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 6 (cos.f64 x)) (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 5) 1)) 2)) (cbrt.f64 (+.f64 (sqrt.f64 5) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 6 (cos.f64 x)) (hypot.f64 1 (pow.f64 5 1/4))) (hypot.f64 1 (pow.f64 5 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (cos.f64 x)) 6) (+.f64 -1 (neg.f64 (sqrt.f64 5))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 6 (neg.f64 (cos.f64 x))) (+.f64 -1 (neg.f64 (sqrt.f64 5))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 6 (/.f64 (+.f64 (sqrt.f64 5) 1) (cos.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 36 (pow.f64 (/.f64 (+.f64 (sqrt.f64 5) 1) (cos.f64 x)) -2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 6 (/.f64 (+.f64 (sqrt.f64 5) 1) (cos.f64 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 6 (/.f64 (+.f64 (sqrt.f64 5) 1) (cos.f64 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 6 (/.f64 (+.f64 (sqrt.f64 5) 1) (cos.f64 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 (sqrt.f64 5) 1) (*.f64 6 (cos.f64 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 36 (pow.f64 (/.f64 (+.f64 (sqrt.f64 5) 1) (cos.f64 x)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 6 (/.f64 (+.f64 (sqrt.f64 5) 1) (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 6 (/.f64 (+.f64 (sqrt.f64 5) 1) (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 6 (/.f64 (+.f64 (sqrt.f64 5) 1) (cos.f64 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 6 (/.f64 (+.f64 (sqrt.f64 5) 1) (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 6 (/.f64 (+.f64 (sqrt.f64 5) 1) (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 (*.f64 6 (cos.f64 x))) (log1p.f64 (sqrt.f64 5))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (log.f64 (*.f64 6 (cos.f64 x))) (log1p.f64 (sqrt.f64 5))) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 x) (*.f64 1/4 (+.f64 (sqrt.f64 5) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1))) (cbrt.f64 (pow.f64 (/.f64 (+.f64 (sqrt.f64 5) 1) (cos.f64 x)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 (sqrt.f64 5) 1) (cos.f64 x)) -2)) (cbrt.f64 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (*.f64 (cbrt.f64 (cos.f64 x)) (*.f64 1/4 (+.f64 (sqrt.f64 5) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1))) (sqrt.f64 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cos.f64 x)) (*.f64 (sqrt.f64 (cos.f64 x)) (*.f64 1/4 (+.f64 (sqrt.f64 5) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (cos.f64 x)) (/.f64 1 (+.f64 -1 (neg.f64 (sqrt.f64 5)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/4 (+.f64 (sqrt.f64 5) -1)) (cos.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) 1) (/.f64 (cbrt.f64 (cos.f64 x)) (+.f64 (sqrt.f64 5) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (cos.f64 x)) 1) (/.f64 (sqrt.f64 (cos.f64 x)) (+.f64 (sqrt.f64 5) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 5) 1)) -2) (/.f64 (cos.f64 x) (cbrt.f64 (+.f64 (sqrt.f64 5) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 5) 1)) 2)) (cbrt.f64 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (cos.f64 x)) (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 5) 1)) 2)) (/.f64 (sqrt.f64 (cos.f64 x)) (cbrt.f64 (+.f64 (sqrt.f64 5) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 (sqrt.f64 5) 1) -1/2) (/.f64 (cos.f64 x) (hypot.f64 1 (pow.f64 5 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (hypot.f64 1 (pow.f64 5 1/4))) (/.f64 (cbrt.f64 (cos.f64 x)) (hypot.f64 1 (pow.f64 5 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cos.f64 x) (+.f64 1 (pow.f64 5 3/2))) (-.f64 6 (sqrt.f64 5)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cos.f64 x) 4) (+.f64 (sqrt.f64 5) -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 (sqrt.f64 5) 1) (cos.f64 x)) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 (sqrt.f64 5) 1) (cos.f64 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (+.f64 (sqrt.f64 5) 1) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (+.f64 (sqrt.f64 5) 1) (cos.f64 x)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (cos.f64 x) (+.f64 -1 (neg.f64 (sqrt.f64 5)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 (sqrt.f64 5) 1) (cos.f64 x)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (+.f64 (sqrt.f64 5) 1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 (cos.f64 x)) (log1p.f64 (sqrt.f64 5))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (log.f64 (cos.f64 x)) (log1p.f64 (sqrt.f64 5))) 1))))))

simplify92.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

698×	`fma-def_binary64`
619×	`associate-*r/_binary64`
572×	`associate-/r*_binary64`
419×	`associate-/r/_binary64`
414×	`*-commutative_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	40	252
1	105	252
2	233	252
3	505	252
4	1772	236
5	5393	236
6	6209	236
7	7041	236
8	7949	236

Stop Event

1×	node limit

Counts

126 → 132

Calls

Call 1

Inputs
(/.f64 6 (+.f64 (sqrt.f64 5) 1))
(+.f64 (.f64 -3 (/.f64 (pow.f64 x 2) (+.f64 (sqrt.f64 5) 1))) (.f64 6 (/.f64 1 (+.f64 (sqrt.f64 5) 1))))
(+.f64 (.f64 -3 (/.f64 (pow.f64 x 2) (+.f64 (sqrt.f64 5) 1))) (+.f64 (.f64 1/4 (/.f64 (pow.f64 x 4) (+.f64 (sqrt.f64 5) 1))) (*.f64 6 (/.f64 1 (+.f64 (sqrt.f64 5) 1)))))
(+.f64 (.f64 -3 (/.f64 (pow.f64 x 2) (+.f64 (sqrt.f64 5) 1))) (+.f64 (.f64 -1/120 (/.f64 (pow.f64 x 6) (+.f64 (sqrt.f64 5) 1))) (+.f64 (.f64 1/4 (/.f64 (pow.f64 x 4) (+.f64 (sqrt.f64 5) 1))) (.f64 6 (/.f64 1 (+.f64 (sqrt.f64 5) 1))))))
(/.f64 1 (+.f64 (sqrt.f64 5) 1))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 x 2) (+.f64 (sqrt.f64 5) 1))) (/.f64 1 (+.f64 (sqrt.f64 5) 1)))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 x 2) (+.f64 (sqrt.f64 5) 1))) (+.f64 (.f64 1/24 (/.f64 (pow.f64 x 4) (+.f64 (sqrt.f64 5) 1))) (/.f64 1 (+.f64 (sqrt.f64 5) 1))))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 x 2) (+.f64 (sqrt.f64 5) 1))) (+.f64 (.f64 -1/720 (/.f64 (pow.f64 x 6) (+.f64 (sqrt.f64 5) 1))) (+.f64 (*.f64 1/24 (/.f64 (pow.f64 x 4) (+.f64 (sqrt.f64 5) 1))) (/.f64 1 (+.f64 (sqrt.f64 5) 1)))))

Outputs
(/.f64 6 (+.f64 (sqrt.f64 5) 1))
(+.f64 (.f64 -3 (/.f64 (pow.f64 x 2) (+.f64 (sqrt.f64 5) 1))) (.f64 6 (/.f64 1 (+.f64 (sqrt.f64 5) 1))))
(fma.f64 -3 (/.f64 (*.f64 x x) (+.f64 (sqrt.f64 5) 1)) (/.f64 6 (+.f64 (sqrt.f64 5) 1)))
(fma.f64 -3 (/.f64 x (/.f64 (+.f64 (sqrt.f64 5) 1) x)) (/.f64 6 (+.f64 (sqrt.f64 5) 1)))
(fma.f64 -3 (*.f64 x (/.f64 x (+.f64 (sqrt.f64 5) 1))) (/.f64 6 (+.f64 (sqrt.f64 5) 1)))
(+.f64 (.f64 -3 (/.f64 (pow.f64 x 2) (+.f64 (sqrt.f64 5) 1))) (+.f64 (.f64 1/4 (/.f64 (pow.f64 x 4) (+.f64 (sqrt.f64 5) 1))) (*.f64 6 (/.f64 1 (+.f64 (sqrt.f64 5) 1)))))
(fma.f64 -3 (/.f64 (*.f64 x x) (+.f64 (sqrt.f64 5) 1)) (fma.f64 1/4 (/.f64 (pow.f64 x 4) (+.f64 (sqrt.f64 5) 1)) (/.f64 6 (+.f64 (sqrt.f64 5) 1))))
(fma.f64 -3 (/.f64 x (/.f64 (+.f64 (sqrt.f64 5) 1) x)) (fma.f64 1/4 (/.f64 (pow.f64 x 4) (+.f64 (sqrt.f64 5) 1)) (/.f64 6 (+.f64 (sqrt.f64 5) 1))))
(fma.f64 -3 (*.f64 x (/.f64 x (+.f64 (sqrt.f64 5) 1))) (fma.f64 1/4 (/.f64 (pow.f64 x 4) (+.f64 (sqrt.f64 5) 1)) (/.f64 6 (+.f64 (sqrt.f64 5) 1))))
(+.f64 (/.f64 6 (+.f64 (sqrt.f64 5) 1)) (.f64 (.f64 x (/.f64 x (+.f64 (sqrt.f64 5) 1))) (+.f64 -3 (.f64 (.f64 x x) 1/4))))
(+.f64 (/.f64 6 (+.f64 (sqrt.f64 5) 1)) (.f64 (/.f64 x (+.f64 (sqrt.f64 5) 1)) (+.f64 (.f64 -3 x) (*.f64 1/4 (pow.f64 x 3)))))
(+.f64 (.f64 -3 (/.f64 (pow.f64 x 2) (+.f64 (sqrt.f64 5) 1))) (+.f64 (.f64 -1/120 (/.f64 (pow.f64 x 6) (+.f64 (sqrt.f64 5) 1))) (+.f64 (.f64 1/4 (/.f64 (pow.f64 x 4) (+.f64 (sqrt.f64 5) 1))) (.f64 6 (/.f64 1 (+.f64 (sqrt.f64 5) 1))))))
(fma.f64 -3 (/.f64 (*.f64 x x) (+.f64 (sqrt.f64 5) 1)) (fma.f64 -1/120 (/.f64 (pow.f64 x 6) (+.f64 (sqrt.f64 5) 1)) (fma.f64 1/4 (/.f64 (pow.f64 x 4) (+.f64 (sqrt.f64 5) 1)) (/.f64 6 (+.f64 (sqrt.f64 5) 1)))))
(fma.f64 -3 (/.f64 x (/.f64 (+.f64 (sqrt.f64 5) 1) x)) (fma.f64 -1/120 (/.f64 (pow.f64 x 6) (+.f64 (sqrt.f64 5) 1)) (fma.f64 1/4 (/.f64 (pow.f64 x 4) (+.f64 (sqrt.f64 5) 1)) (/.f64 6 (+.f64 (sqrt.f64 5) 1)))))
(fma.f64 -3 (/.f64 (*.f64 x x) (+.f64 (sqrt.f64 5) 1)) (fma.f64 1/4 (/.f64 (pow.f64 x 4) (+.f64 (sqrt.f64 5) 1)) (fma.f64 -1/120 (/.f64 (pow.f64 x 6) (+.f64 (sqrt.f64 5) 1)) (/.f64 6 (+.f64 (sqrt.f64 5) 1)))))
(fma.f64 1/4 (/.f64 (pow.f64 x 4) (+.f64 (sqrt.f64 5) 1)) (fma.f64 -1/120 (/.f64 (pow.f64 x 6) (+.f64 (sqrt.f64 5) 1)) (fma.f64 -3 (*.f64 x (/.f64 x (+.f64 (sqrt.f64 5) 1))) (/.f64 6 (+.f64 (sqrt.f64 5) 1)))))
(+.f64 (.f64 (.f64 x (/.f64 x (+.f64 (sqrt.f64 5) 1))) (+.f64 -3 (.f64 (.f64 x x) 1/4))) (fma.f64 -1/120 (/.f64 (pow.f64 x 6) (+.f64 (sqrt.f64 5) 1)) (/.f64 6 (+.f64 (sqrt.f64 5) 1))))
(+.f64 (/.f64 6 (+.f64 (sqrt.f64 5) 1)) (fma.f64 -1/120 (/.f64 (pow.f64 x 6) (+.f64 (sqrt.f64 5) 1)) (.f64 (/.f64 x (+.f64 (sqrt.f64 5) 1)) (+.f64 (.f64 -3 x) (*.f64 1/4 (pow.f64 x 3))))))
(/.f64 1 (+.f64 (sqrt.f64 5) 1))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 x 2) (+.f64 (sqrt.f64 5) 1))) (/.f64 1 (+.f64 (sqrt.f64 5) 1)))
(fma.f64 -1/2 (/.f64 (*.f64 x x) (+.f64 (sqrt.f64 5) 1)) (/.f64 1 (+.f64 (sqrt.f64 5) 1)))
(fma.f64 (/.f64 x (/.f64 (+.f64 (sqrt.f64 5) 1) x)) -1/2 (/.f64 1 (+.f64 (sqrt.f64 5) 1)))
(fma.f64 (/.f64 (*.f64 x x) (+.f64 (sqrt.f64 5) 1)) -1/2 (/.f64 1 (+.f64 (sqrt.f64 5) 1)))
(fma.f64 (/.f64 -1/2 (+.f64 (sqrt.f64 5) 1)) (*.f64 x x) (/.f64 1 (+.f64 (sqrt.f64 5) 1)))
(fma.f64 (*.f64 x x) (/.f64 -1/2 (+.f64 (sqrt.f64 5) 1)) (/.f64 1 (+.f64 (sqrt.f64 5) 1)))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 x 2) (+.f64 (sqrt.f64 5) 1))) (+.f64 (.f64 1/24 (/.f64 (pow.f64 x 4) (+.f64 (sqrt.f64 5) 1))) (/.f64 1 (+.f64 (sqrt.f64 5) 1))))
(fma.f64 -1/2 (/.f64 (*.f64 x x) (+.f64 (sqrt.f64 5) 1)) (fma.f64 1/24 (/.f64 (pow.f64 x 4) (+.f64 (sqrt.f64 5) 1)) (/.f64 1 (+.f64 (sqrt.f64 5) 1))))
(fma.f64 (/.f64 x (/.f64 (+.f64 (sqrt.f64 5) 1) x)) -1/2 (fma.f64 (/.f64 (pow.f64 x 4) (+.f64 (sqrt.f64 5) 1)) 1/24 (/.f64 1 (+.f64 (sqrt.f64 5) 1))))
(fma.f64 (/.f64 (pow.f64 x 4) (+.f64 (sqrt.f64 5) 1)) 1/24 (fma.f64 (/.f64 (*.f64 x x) (+.f64 (sqrt.f64 5) 1)) -1/2 (/.f64 1 (+.f64 (sqrt.f64 5) 1))))
(fma.f64 (*.f64 x (/.f64 x (+.f64 (sqrt.f64 5) 1))) -1/2 (fma.f64 (/.f64 1/24 (+.f64 (sqrt.f64 5) 1)) (pow.f64 x 4) (/.f64 1 (+.f64 (sqrt.f64 5) 1))))
(+.f64 (/.f64 1 (+.f64 (sqrt.f64 5) 1)) (.f64 (.f64 x (/.f64 x (+.f64 (sqrt.f64 5) 1))) (+.f64 -1/2 (.f64 (.f64 x x) 1/24))))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 x 2) (+.f64 (sqrt.f64 5) 1))) (+.f64 (.f64 -1/720 (/.f64 (pow.f64 x 6) (+.f64 (sqrt.f64 5) 1))) (+.f64 (*.f64 1/24 (/.f64 (pow.f64 x 4) (+.f64 (sqrt.f64 5) 1))) (/.f64 1 (+.f64 (sqrt.f64 5) 1)))))
(fma.f64 -1/2 (/.f64 (*.f64 x x) (+.f64 (sqrt.f64 5) 1)) (fma.f64 -1/720 (/.f64 (pow.f64 x 6) (+.f64 (sqrt.f64 5) 1)) (fma.f64 1/24 (/.f64 (pow.f64 x 4) (+.f64 (sqrt.f64 5) 1)) (/.f64 1 (+.f64 (sqrt.f64 5) 1)))))
(fma.f64 (/.f64 x (/.f64 (+.f64 (sqrt.f64 5) 1) x)) -1/2 (fma.f64 (/.f64 (pow.f64 x 6) (+.f64 (sqrt.f64 5) 1)) -1/720 (fma.f64 (/.f64 (pow.f64 x 4) (+.f64 (sqrt.f64 5) 1)) 1/24 (/.f64 1 (+.f64 (sqrt.f64 5) 1)))))
(fma.f64 (/.f64 (pow.f64 x 6) (+.f64 (sqrt.f64 5) 1)) -1/720 (fma.f64 (/.f64 (pow.f64 x 4) (+.f64 (sqrt.f64 5) 1)) 1/24 (fma.f64 (/.f64 (*.f64 x x) (+.f64 (sqrt.f64 5) 1)) -1/2 (/.f64 1 (+.f64 (sqrt.f64 5) 1)))))
(fma.f64 (*.f64 x (/.f64 x (+.f64 (sqrt.f64 5) 1))) -1/2 (fma.f64 (/.f64 (pow.f64 x 4) (+.f64 (sqrt.f64 5) 1)) 1/24 (fma.f64 (/.f64 (pow.f64 x 6) (+.f64 (sqrt.f64 5) 1)) -1/720 (/.f64 1 (+.f64 (sqrt.f64 5) 1)))))
(+.f64 (.f64 (.f64 x (/.f64 x (+.f64 (sqrt.f64 5) 1))) (+.f64 -1/2 (.f64 (.f64 x x) 1/24))) (fma.f64 (pow.f64 x 6) (/.f64 -1/720 (+.f64 (sqrt.f64 5) 1)) (/.f64 1 (+.f64 (sqrt.f64 5) 1))))

localize66.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1)))
	0.6b	(/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1))
	0.7b	(*.f64 6 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1)))
✓	1.3b	(-.f64 (cos.f64 x) 1)

Compiler

Compiled 161 to 124 computations (23% saved)

series4.0ms (0%)

Counts

2 → 8

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1)))
1.0ms	x	@	inf	(.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1)))
1.0ms	x	@	0	(.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1)))
0.0ms	x	@	0	(-.f64 (cos.f64 x) 1)
0.0ms	x	@	inf	(-.f64 (cos.f64 x) 1)

rewrite114.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

483×	`log-prod_binary64`
418×	`prod-exp_binary64`
365×	`exp-prod_binary64`
351×	`pow-prod-down_binary64`
260×	`pow2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	25
1	229	25
2	2688	25

Stop Event

1×	node limit

Counts

2 → 92

Calls

Call 1

Inputs
(-.f64 (cos.f64 x) 1)
(.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1)))

Outputs

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

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

simplify130.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1871×	`fma-def_binary64`
726×	`sqr-pow_binary64`
659×	`distribute-lft-out_binary64`
423×	`*-commutative_binary64`
376×	`pow-sqr_binary64`

Iterations

Useful iterations: 9 (0.0ms)

Iter	Nodes	Cost
0	44	190
1	112	190
2	287	180
3	994	164
4	2472	164
5	3714	164
6	4210	164
7	4397	164
8	4579	164
9	4818	160
10	6160	160
11	6566	160
12	7040	160
13	7588	160

Stop Event

1×	node limit

Counts

100 → 108

Calls

Call 1

Inputs
(*.f64 -1/2 (pow.f64 x 2))
(+.f64 (.f64 1/24 (pow.f64 x 4)) (.f64 -1/2 (pow.f64 x 2)))
(+.f64 (.f64 1/24 (pow.f64 x 4)) (+.f64 (.f64 -1/2 (pow.f64 x 2)) (*.f64 -1/720 (pow.f64 x 6))))
(+.f64 (.f64 1/24 (pow.f64 x 4)) (+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/720 (pow.f64 x 6)) (.f64 1/40320 (pow.f64 x 8)))))
(.f64 -1/2 (.f64 (sqrt.f64 2) (pow.f64 x 4)))
(+.f64 (.f64 5/24 (.f64 (sqrt.f64 2) (pow.f64 x 6))) (.f64 -1/2 (.f64 (sqrt.f64 2) (pow.f64 x 4))))
(+.f64 (.f64 5/24 (.f64 (sqrt.f64 2) (pow.f64 x 6))) (+.f64 (.f64 -1/2 (.f64 (sqrt.f64 2) (pow.f64 x 4))) (.f64 -3/80 (.f64 (sqrt.f64 2) (pow.f64 x 8)))))
(+.f64 (.f64 5/24 (.f64 (sqrt.f64 2) (pow.f64 x 6))) (+.f64 (.f64 -1/2 (.f64 (sqrt.f64 2) (pow.f64 x 4))) (+.f64 (.f64 95/24192 (.f64 (sqrt.f64 2) (pow.f64 x 10))) (.f64 -3/80 (.f64 (sqrt.f64 2) (pow.f64 x 8))))))

Outputs
(*.f64 -1/2 (pow.f64 x 2))
(.f64 -1/2 (.f64 x x))
(+.f64 (.f64 1/24 (pow.f64 x 4)) (.f64 -1/2 (pow.f64 x 2)))
(fma.f64 1/24 (pow.f64 x 4) (.f64 -1/2 (.f64 x x)))
(fma.f64 -1/2 (.f64 x x) (.f64 1/24 (pow.f64 x 4)))
(.f64 x (fma.f64 1/24 (pow.f64 x 3) (.f64 -1/2 x)))
(+.f64 (.f64 1/24 (pow.f64 x 4)) (+.f64 (.f64 -1/2 (pow.f64 x 2)) (*.f64 -1/720 (pow.f64 x 6))))
(fma.f64 1/24 (pow.f64 x 4) (fma.f64 -1/2 (.f64 x x) (.f64 -1/720 (pow.f64 x 6))))
(fma.f64 1/24 (pow.f64 x 4) (fma.f64 -1/720 (pow.f64 x 6) (.f64 -1/2 (.f64 x x))))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x 1/24) -1/2) (*.f64 -1/720 (pow.f64 x 6)))
(fma.f64 x (.f64 x (fma.f64 x (.f64 x 1/24) -1/2)) (*.f64 -1/720 (pow.f64 x 6)))
(fma.f64 x (fma.f64 1/24 (pow.f64 x 3) (.f64 -1/2 x)) (.f64 -1/720 (pow.f64 x 6)))
(+.f64 (.f64 1/24 (pow.f64 x 4)) (+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/720 (pow.f64 x 6)) (.f64 1/40320 (pow.f64 x 8)))))
(fma.f64 1/24 (pow.f64 x 4) (fma.f64 -1/2 (.f64 x x) (fma.f64 -1/720 (pow.f64 x 6) (.f64 1/40320 (pow.f64 x 8)))))
(fma.f64 -1/2 (.f64 x x) (fma.f64 1/24 (pow.f64 x 4) (fma.f64 -1/720 (pow.f64 x 6) (.f64 1/40320 (pow.f64 x 8)))))
(fma.f64 -1/720 (pow.f64 x 6) (fma.f64 1/40320 (pow.f64 x 8) (fma.f64 1/24 (pow.f64 x 4) (.f64 -1/2 (.f64 x x)))))
(.f64 (.f64 x x) (fma.f64 x (fma.f64 x 1/24 (*.f64 -1/720 (pow.f64 x 3))) (fma.f64 (pow.f64 x 6) 1/40320 -1/2)))
(.f64 -1/2 (.f64 (sqrt.f64 2) (pow.f64 x 4)))
(.f64 -1/2 (.f64 (pow.f64 x 4) (sqrt.f64 2)))
(.f64 (sqrt.f64 2) (.f64 (pow.f64 x 4) -1/2))
(.f64 (pow.f64 x 4) (.f64 -1/2 (sqrt.f64 2)))
(+.f64 (.f64 5/24 (.f64 (sqrt.f64 2) (pow.f64 x 6))) (.f64 -1/2 (.f64 (sqrt.f64 2) (pow.f64 x 4))))
(fma.f64 5/24 (.f64 (pow.f64 x 6) (sqrt.f64 2)) (.f64 -1/2 (*.f64 (pow.f64 x 4) (sqrt.f64 2))))
(fma.f64 -1/2 (.f64 (pow.f64 x 4) (sqrt.f64 2)) (.f64 (pow.f64 x 6) (*.f64 (sqrt.f64 2) 5/24)))
(.f64 (sqrt.f64 2) (+.f64 (.f64 -1/2 (pow.f64 x 4)) (*.f64 (pow.f64 x 6) 5/24)))
(.f64 (sqrt.f64 2) (fma.f64 -1/2 (pow.f64 x 4) (.f64 (pow.f64 x 6) 5/24)))
(+.f64 (.f64 5/24 (.f64 (sqrt.f64 2) (pow.f64 x 6))) (+.f64 (.f64 -1/2 (.f64 (sqrt.f64 2) (pow.f64 x 4))) (.f64 -3/80 (.f64 (sqrt.f64 2) (pow.f64 x 8)))))
(fma.f64 5/24 (.f64 (pow.f64 x 6) (sqrt.f64 2)) (fma.f64 -1/2 (.f64 (pow.f64 x 4) (sqrt.f64 2)) (.f64 -3/80 (.f64 (pow.f64 x 8) (sqrt.f64 2)))))
(fma.f64 5/24 (.f64 (pow.f64 x 6) (sqrt.f64 2)) (fma.f64 -1/2 (.f64 (pow.f64 x 4) (sqrt.f64 2)) (.f64 (pow.f64 x 8) (.f64 (sqrt.f64 2) -3/80))))
(fma.f64 (pow.f64 x 6) (.f64 (sqrt.f64 2) 5/24) (.f64 (sqrt.f64 2) (+.f64 (.f64 -1/2 (pow.f64 x 4)) (.f64 (pow.f64 x 8) -3/80))))
(.f64 (sqrt.f64 2) (+.f64 (.f64 -1/2 (pow.f64 x 4)) (fma.f64 (pow.f64 x 6) 5/24 (*.f64 (pow.f64 x 8) -3/80))))
(.f64 (sqrt.f64 2) (+.f64 (.f64 (pow.f64 x 6) 5/24) (fma.f64 (pow.f64 x 8) -3/80 (*.f64 -1/2 (pow.f64 x 4)))))
(.f64 (sqrt.f64 2) (fma.f64 -1/2 (pow.f64 x 4) (.f64 (pow.f64 x 6) (fma.f64 (*.f64 x x) -3/80 5/24))))
(.f64 (sqrt.f64 2) (fma.f64 -1/2 (pow.f64 x 4) (fma.f64 (pow.f64 x 6) 5/24 (.f64 (pow.f64 x 8) -3/80))))
(+.f64 (.f64 5/24 (.f64 (sqrt.f64 2) (pow.f64 x 6))) (+.f64 (.f64 -1/2 (.f64 (sqrt.f64 2) (pow.f64 x 4))) (+.f64 (.f64 95/24192 (.f64 (sqrt.f64 2) (pow.f64 x 10))) (.f64 -3/80 (.f64 (sqrt.f64 2) (pow.f64 x 8))))))
(fma.f64 5/24 (.f64 (pow.f64 x 6) (sqrt.f64 2)) (fma.f64 -1/2 (.f64 (pow.f64 x 4) (sqrt.f64 2)) (fma.f64 95/24192 (.f64 (sqrt.f64 2) (pow.f64 x 10)) (.f64 -3/80 (*.f64 (pow.f64 x 8) (sqrt.f64 2))))))
(fma.f64 5/24 (.f64 (pow.f64 x 6) (sqrt.f64 2)) (fma.f64 -1/2 (.f64 (pow.f64 x 4) (sqrt.f64 2)) (fma.f64 -3/80 (.f64 (pow.f64 x 8) (sqrt.f64 2)) (.f64 (pow.f64 x 10) (*.f64 (sqrt.f64 2) 95/24192)))))
(+.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 -1/2 (pow.f64 x 4)) (.f64 (pow.f64 x 6) 5/24))) (.f64 (sqrt.f64 2) (+.f64 (.f64 95/24192 (pow.f64 x 10)) (.f64 (pow.f64 x 8) -3/80))))
(.f64 (sqrt.f64 2) (+.f64 (fma.f64 -1/2 (pow.f64 x 4) (.f64 (pow.f64 x 6) 5/24)) (fma.f64 (pow.f64 x 8) -3/80 (*.f64 95/24192 (pow.f64 x 10)))))
(.f64 (sqrt.f64 2) (+.f64 (fma.f64 (pow.f64 x 8) -3/80 (.f64 95/24192 (pow.f64 x 10))) (fma.f64 -1/2 (pow.f64 x 4) (*.f64 (pow.f64 x 6) 5/24))))
(.f64 (sqrt.f64 2) (fma.f64 -1/2 (pow.f64 x 4) (fma.f64 (pow.f64 x 6) 5/24 (fma.f64 (pow.f64 x 8) -3/80 (.f64 95/24192 (pow.f64 x 10))))))
(.f64 (sqrt.f64 2) (fma.f64 -1/2 (pow.f64 x 4) (fma.f64 (pow.f64 x 6) 5/24 (fma.f64 95/24192 (pow.f64 x 10) (.f64 (pow.f64 x 8) -3/80)))))

localize126.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.6b	(/.f64 1 (/.f64 2 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1))))
✓	0.6b	(/.f64 2 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)))
	1.0b	(-.f64 3 (sqrt.f64 5))
	1.4b	(-.f64 (cos.f64 x) (cos.f64 y))

Compiler

Compiled 254 to 175 computations (31.1% saved)

series4.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(/.f64 2 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)))
1.0ms	x	@	inf	(/.f64 2 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)))
1.0ms	x	@	-inf	(/.f64 1 (/.f64 2 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1))))
1.0ms	x	@	-inf	(/.f64 2 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)))
0.0ms	x	@	0	(/.f64 1 (/.f64 2 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1))))

rewrite73.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

521×	`log-prod_binary64`
309×	`pow-prod-down_binary64`
300×	`pow2_binary64`
209×	`pow1/3_binary64`
206×	`expm1-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	28
1	261	28
2	3219	28

Stop Event

1×	node limit

Counts

2 → 89

Calls

Call 1

Inputs
(/.f64 2 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)))
(/.f64 1 (/.f64 2 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (/.f64 2 (cos.f64 x)) (+.f64 (sqrt.f64 5) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (/.f64 2 (cos.f64 x)) (+.f64 (sqrt.f64 5) -1)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (/.f64 2 (cos.f64 x)) (+.f64 (sqrt.f64 5) -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (/.f64 2 (cos.f64 x)) (+.f64 (sqrt.f64 5) -1))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (/.f64 2 (cos.f64 x)) (+.f64 (sqrt.f64 5) -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 2 (cos.f64 x)) (+.f64 (sqrt.f64 5) -1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 1 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 2 (cos.f64 x)) (+.f64 (sqrt.f64 5) -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (/.f64 2 (cos.f64 x)) (+.f64 (sqrt.f64 5) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (/.f64 2 (cos.f64 x)) (+.f64 (sqrt.f64 5) -1))) (pow.f64 (cbrt.f64 (/.f64 (/.f64 2 (cos.f64 x)) (+.f64 (sqrt.f64 5) -1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 2 (cos.f64 x)) (+.f64 (sqrt.f64 5) -1))) 2) (cbrt.f64 (/.f64 (/.f64 2 (cos.f64 x)) (+.f64 (sqrt.f64 5) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (/.f64 2 (cos.f64 x)) (+.f64 (sqrt.f64 5) -1))) (sqrt.f64 (/.f64 (/.f64 2 (cos.f64 x)) (+.f64 (sqrt.f64 5) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (/.f64 1 (*.f64 (cos.f64 x) (neg.f64 (+.f64 (sqrt.f64 5) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (cos.f64 x)) (/.f64 1 (+.f64 (sqrt.f64 5) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 2 (cos.f64 x)) 4) (+.f64 (sqrt.f64 5) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 2 (cos.f64 x)) (+.f64 -1 (pow.f64 5 3/2))) (-.f64 6 (*.f64 (sqrt.f64 5) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 2 (cos.f64 x)) (+.f64 (sqrt.f64 5) -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (/.f64 2 (cos.f64 x)) (+.f64 (sqrt.f64 5) -1)) -3) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 4 (pow.f64 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) -2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (/.f64 2 (cos.f64 x)) (+.f64 (sqrt.f64 5) -1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (*.f64 1/2 (cos.f64 x)) (+.f64 (sqrt.f64 5) -1))) -3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (/.f64 2 (cos.f64 x)) (+.f64 (sqrt.f64 5) -1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (*.f64 1/2 (cos.f64 x)) (+.f64 (sqrt.f64 5) -1))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (/.f64 2 (cos.f64 x)) (+.f64 (sqrt.f64 5) -1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 1/2 (cos.f64 x)) (+.f64 (sqrt.f64 5) -1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 (*.f64 1/2 (cos.f64 x)) (+.f64 (sqrt.f64 5) -1)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 4 (pow.f64 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (/.f64 2 (cos.f64 x)) (+.f64 (sqrt.f64 5) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 2 (cos.f64 x)) (+.f64 (sqrt.f64 5) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (/.f64 2 (cos.f64 x)) (+.f64 (sqrt.f64 5) -1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (/.f64 2 (cos.f64 x)) (+.f64 (sqrt.f64 5) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (/.f64 2 (cos.f64 x)) (+.f64 (sqrt.f64 5) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (/.f64 2 (cos.f64 x)) (+.f64 (sqrt.f64 5) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 2 (cos.f64 x)) (+.f64 (sqrt.f64 5) -1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 (/.f64 2 (cos.f64 x)) (+.f64 (sqrt.f64 5) -1)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (/.f64 2 (cos.f64 x)) (+.f64 (sqrt.f64 5) -1)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (/.f64 2 (cos.f64 x)) (+.f64 (sqrt.f64 5) -1)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 1/2 (cos.f64 x)) (+.f64 (sqrt.f64 5) -1))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (/.f64 2 (cos.f64 x)) (+.f64 (sqrt.f64 5) -1))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (/.f64 2 (cos.f64 x)) (+.f64 (sqrt.f64 5) -1))) -1) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (*.f64 1/2 (cos.f64 x)) (+.f64 (sqrt.f64 5) -1))) 1) -1))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (*.f64 1/2 (cos.f64 x)) (+.f64 (sqrt.f64 5) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (cos.f64 x) (sqrt.f64 5)) 1/2) (*.f64 (neg.f64 (cos.f64 x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/2 (*.f64 (cos.f64 x) (sqrt.f64 5))) (*.f64 1/2 (neg.f64 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 (sqrt.f64 5) -1)) (cos.f64 x)))) 2)) (log.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 (sqrt.f64 5) -1)) (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 (sqrt.f64 5) -1)) (cos.f64 x))))) (log.f64 (sqrt.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 (sqrt.f64 5) -1)) (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 1/2 (cos.f64 x)) (+.f64 (sqrt.f64 5) -1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (/.f64 -2 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (*.f64 1/2 (cos.f64 x)) (+.f64 (sqrt.f64 5) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (*.f64 1/2 (cos.f64 x)) (+.f64 (sqrt.f64 5) -1))) (pow.f64 (cbrt.f64 (*.f64 (*.f64 1/2 (cos.f64 x)) (+.f64 (sqrt.f64 5) -1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (*.f64 1/2 (cos.f64 x)) (+.f64 (sqrt.f64 5) -1))) 2) (cbrt.f64 (*.f64 (*.f64 1/2 (cos.f64 x)) (+.f64 (sqrt.f64 5) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (*.f64 1/2 (cos.f64 x)) (+.f64 (sqrt.f64 5) -1))) (sqrt.f64 (*.f64 (*.f64 1/2 (cos.f64 x)) (+.f64 (sqrt.f64 5) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 1/2 (cos.f64 x)) (+.f64 (sqrt.f64 5) -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/2 (*.f64 (cos.f64 x) (neg.f64 (+.f64 (sqrt.f64 5) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 2 (cos.f64 x))) (+.f64 (sqrt.f64 5) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 2 (cos.f64 x)) (+.f64 (sqrt.f64 5) -1))) -2) (cbrt.f64 (*.f64 (*.f64 1/2 (cos.f64 x)) (+.f64 (sqrt.f64 5) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/2 (cos.f64 x)) (+.f64 (sqrt.f64 5) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/2 (+.f64 (sqrt.f64 5) -1)) (cos.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/2 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1))) 2)) (cbrt.f64 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/2 (sqrt.f64 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)))) (sqrt.f64 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 2 (cos.f64 x)) (+.f64 (sqrt.f64 5) -1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/4 (pow.f64 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (/.f64 2 (cos.f64 x)) (+.f64 (sqrt.f64 5) -1)) -3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 4 (pow.f64 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) -2)) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (/.f64 2 (cos.f64 x)) (+.f64 (sqrt.f64 5) -1)) 3) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (*.f64 1/2 (cos.f64 x)) (+.f64 (sqrt.f64 5) -1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (/.f64 2 (cos.f64 x)) (+.f64 (sqrt.f64 5) -1))) -3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (*.f64 1/2 (cos.f64 x)) (+.f64 (sqrt.f64 5) -1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (/.f64 2 (cos.f64 x)) (+.f64 (sqrt.f64 5) -1))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 1/2 (cos.f64 x)) (+.f64 (sqrt.f64 5) -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (neg.f64 (/.f64 -2 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 1/4 (pow.f64 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 (sqrt.f64 5) -1)) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (*.f64 1/2 (cos.f64 x)) (+.f64 (sqrt.f64 5) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (/.f64 2 (cos.f64 x)) (+.f64 (sqrt.f64 5) -1)) -3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (*.f64 1/2 (cos.f64 x)) (+.f64 (sqrt.f64 5) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (*.f64 1/2 (cos.f64 x)) (+.f64 (sqrt.f64 5) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (*.f64 1/2 (cos.f64 x)) (+.f64 (sqrt.f64 5) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 2 (cos.f64 x)) (+.f64 (sqrt.f64 5) -1))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 1/2 (cos.f64 x)) (+.f64 (sqrt.f64 5) -1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (/.f64 2 (cos.f64 x)) (+.f64 (sqrt.f64 5) -1)) -3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (*.f64 1/2 (cos.f64 x)) (+.f64 (sqrt.f64 5) -1)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (*.f64 1/2 (cos.f64 x)) (+.f64 (sqrt.f64 5) -1)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (/.f64 2 (cos.f64 x)) (+.f64 (sqrt.f64 5) -1))) 1) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (/.f64 2 (cos.f64 x)) (+.f64 (sqrt.f64 5) -1))) -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (*.f64 1/2 (cos.f64 x)) (+.f64 (sqrt.f64 5) -1))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/2 (*.f64 (cos.f64 x) (sqrt.f64 5)) (*.f64 1/2 (neg.f64 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cos.f64 x) (sqrt.f64 5)) 1/2 (*.f64 (neg.f64 (cos.f64 x)) 1/2))))))

simplify116.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

630×	`associate-l_binary64`
608×	`distribute-rgt-in_binary64`
600×	`fma-def_binary64`
596×	`distribute-lft-in_binary64`
506×	`associate-r_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	47	473
1	116	473
2	326	431
3	1067	405
4	4727	405

Stop Event

1×	node limit

Counts

113 → 109

Calls

Call 1

Inputs
(/.f64 2 (-.f64 (sqrt.f64 5) 1))
(+.f64 (/.f64 (pow.f64 x 2) (-.f64 (sqrt.f64 5) 1)) (*.f64 2 (/.f64 1 (-.f64 (sqrt.f64 5) 1))))
(+.f64 (/.f64 (pow.f64 x 2) (-.f64 (sqrt.f64 5) 1)) (+.f64 (.f64 5/12 (/.f64 (pow.f64 x 4) (-.f64 (sqrt.f64 5) 1))) (.f64 2 (/.f64 1 (-.f64 (sqrt.f64 5) 1)))))
(+.f64 (/.f64 (pow.f64 x 2) (-.f64 (sqrt.f64 5) 1)) (+.f64 (.f64 61/360 (/.f64 (pow.f64 x 6) (-.f64 (sqrt.f64 5) 1))) (+.f64 (.f64 5/12 (/.f64 (pow.f64 x 4) (-.f64 (sqrt.f64 5) 1))) (*.f64 2 (/.f64 1 (-.f64 (sqrt.f64 5) 1))))))
(/.f64 2 (*.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))
(/.f64 2 (*.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))
(/.f64 2 (*.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))
(/.f64 2 (*.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))
(/.f64 2 (*.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))
(/.f64 2 (*.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))
(/.f64 2 (*.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))
(/.f64 2 (*.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))
(*.f64 1/2 (-.f64 (sqrt.f64 5) 1))
(+.f64 (.f64 -1/4 (.f64 (-.f64 (sqrt.f64 5) 1) (pow.f64 x 2))) (*.f64 1/2 (-.f64 (sqrt.f64 5) 1)))
(+.f64 (.f64 1/48 (.f64 (-.f64 (sqrt.f64 5) 1) (pow.f64 x 4))) (+.f64 (.f64 -1/4 (.f64 (-.f64 (sqrt.f64 5) 1) (pow.f64 x 2))) (*.f64 1/2 (-.f64 (sqrt.f64 5) 1))))
(+.f64 (.f64 1/48 (.f64 (-.f64 (sqrt.f64 5) 1) (pow.f64 x 4))) (+.f64 (.f64 -1/4 (.f64 (-.f64 (sqrt.f64 5) 1) (pow.f64 x 2))) (+.f64 (.f64 -1/1440 (.f64 (-.f64 (sqrt.f64 5) 1) (pow.f64 x 6))) (*.f64 1/2 (-.f64 (sqrt.f64 5) 1)))))
(.f64 1/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))
(.f64 1/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))
(.f64 1/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))
(.f64 1/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))
(.f64 1/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))
(.f64 1/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))
(.f64 1/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))
(.f64 1/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))

Outputs
(/.f64 2 (-.f64 (sqrt.f64 5) 1))
(/.f64 2 (+.f64 (sqrt.f64 5) -1))
(+.f64 (/.f64 (pow.f64 x 2) (-.f64 (sqrt.f64 5) 1)) (*.f64 2 (/.f64 1 (-.f64 (sqrt.f64 5) 1))))
(+.f64 (/.f64 (*.f64 x x) (+.f64 (sqrt.f64 5) -1)) (/.f64 2 (+.f64 (sqrt.f64 5) -1)))
(fma.f64 (/.f64 x (+.f64 (sqrt.f64 5) -1)) x (/.f64 2 (+.f64 (sqrt.f64 5) -1)))
(+.f64 (/.f64 (pow.f64 x 2) (-.f64 (sqrt.f64 5) 1)) (+.f64 (.f64 5/12 (/.f64 (pow.f64 x 4) (-.f64 (sqrt.f64 5) 1))) (.f64 2 (/.f64 1 (-.f64 (sqrt.f64 5) 1)))))
(+.f64 (/.f64 (*.f64 x x) (+.f64 (sqrt.f64 5) -1)) (fma.f64 5/12 (/.f64 (pow.f64 x 4) (+.f64 (sqrt.f64 5) -1)) (/.f64 2 (+.f64 (sqrt.f64 5) -1))))
(fma.f64 5/12 (/.f64 (pow.f64 x 4) (+.f64 (sqrt.f64 5) -1)) (fma.f64 (/.f64 x (+.f64 (sqrt.f64 5) -1)) x (/.f64 2 (+.f64 (sqrt.f64 5) -1))))
(+.f64 (/.f64 (pow.f64 x 2) (-.f64 (sqrt.f64 5) 1)) (+.f64 (.f64 61/360 (/.f64 (pow.f64 x 6) (-.f64 (sqrt.f64 5) 1))) (+.f64 (.f64 5/12 (/.f64 (pow.f64 x 4) (-.f64 (sqrt.f64 5) 1))) (*.f64 2 (/.f64 1 (-.f64 (sqrt.f64 5) 1))))))
(+.f64 (/.f64 (*.f64 x x) (+.f64 (sqrt.f64 5) -1)) (fma.f64 61/360 (/.f64 (pow.f64 x 6) (+.f64 (sqrt.f64 5) -1)) (fma.f64 5/12 (/.f64 (pow.f64 x 4) (+.f64 (sqrt.f64 5) -1)) (/.f64 2 (+.f64 (sqrt.f64 5) -1)))))
(fma.f64 61/360 (/.f64 (pow.f64 x 6) (+.f64 (sqrt.f64 5) -1)) (fma.f64 5/12 (/.f64 (pow.f64 x 4) (+.f64 (sqrt.f64 5) -1)) (fma.f64 (/.f64 x (+.f64 (sqrt.f64 5) -1)) x (/.f64 2 (+.f64 (sqrt.f64 5) -1)))))
(fma.f64 (/.f64 x (+.f64 (sqrt.f64 5) -1)) x (fma.f64 5/12 (/.f64 (pow.f64 x 4) (+.f64 (sqrt.f64 5) -1)) (fma.f64 61/360 (/.f64 (pow.f64 x 6) (+.f64 (sqrt.f64 5) -1)) (/.f64 2 (+.f64 (sqrt.f64 5) -1)))))
(/.f64 2 (*.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))
(/.f64 2 (*.f64 (+.f64 (sqrt.f64 5) -1) (cos.f64 x)))
(/.f64 2 (*.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))
(/.f64 2 (*.f64 (+.f64 (sqrt.f64 5) -1) (cos.f64 x)))
(/.f64 2 (*.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))
(/.f64 2 (*.f64 (+.f64 (sqrt.f64 5) -1) (cos.f64 x)))
(/.f64 2 (*.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))
(/.f64 2 (*.f64 (+.f64 (sqrt.f64 5) -1) (cos.f64 x)))
(/.f64 2 (*.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))
(/.f64 2 (*.f64 (+.f64 (sqrt.f64 5) -1) (cos.f64 x)))
(/.f64 2 (*.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))
(/.f64 2 (*.f64 (+.f64 (sqrt.f64 5) -1) (cos.f64 x)))
(/.f64 2 (*.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))
(/.f64 2 (*.f64 (+.f64 (sqrt.f64 5) -1) (cos.f64 x)))
(/.f64 2 (*.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))
(/.f64 2 (*.f64 (+.f64 (sqrt.f64 5) -1) (cos.f64 x)))
(*.f64 1/2 (-.f64 (sqrt.f64 5) 1))
(*.f64 (+.f64 (sqrt.f64 5) -1) 1/2)
(+.f64 (*.f64 (sqrt.f64 5) 1/2) -1/2)
(fma.f64 (sqrt.f64 5) 1/2 -1/2)
(+.f64 (.f64 -1/4 (.f64 (-.f64 (sqrt.f64 5) 1) (pow.f64 x 2))) (*.f64 1/2 (-.f64 (sqrt.f64 5) 1)))
(fma.f64 -1/4 (.f64 (+.f64 (sqrt.f64 5) -1) (.f64 x x)) (*.f64 (+.f64 (sqrt.f64 5) -1) 1/2))
(fma.f64 -1/4 (.f64 (+.f64 (sqrt.f64 5) -1) (.f64 x x)) (+.f64 (*.f64 (sqrt.f64 5) 1/2) -1/2))
(.f64 (+.f64 (sqrt.f64 5) -1) (+.f64 1/2 (.f64 x (*.f64 x -1/4))))
(.f64 (+.f64 (sqrt.f64 5) -1) (fma.f64 x (.f64 x -1/4) 1/2))
(+.f64 (.f64 1/48 (.f64 (-.f64 (sqrt.f64 5) 1) (pow.f64 x 4))) (+.f64 (.f64 -1/4 (.f64 (-.f64 (sqrt.f64 5) 1) (pow.f64 x 2))) (*.f64 1/2 (-.f64 (sqrt.f64 5) 1))))
(fma.f64 1/48 (.f64 (+.f64 (sqrt.f64 5) -1) (pow.f64 x 4)) (fma.f64 -1/4 (.f64 (+.f64 (sqrt.f64 5) -1) (.f64 x x)) (.f64 (+.f64 (sqrt.f64 5) -1) 1/2)))
(fma.f64 1/48 (.f64 (+.f64 (sqrt.f64 5) -1) (pow.f64 x 4)) (fma.f64 -1/4 (.f64 (+.f64 (sqrt.f64 5) -1) (.f64 x x)) (+.f64 (.f64 (sqrt.f64 5) 1/2) -1/2)))
(fma.f64 (.f64 x x) (fma.f64 (sqrt.f64 5) -1/4 1/4) (.f64 (+.f64 (sqrt.f64 5) -1) (+.f64 (*.f64 (pow.f64 x 4) 1/48) 1/2)))
(.f64 (+.f64 (sqrt.f64 5) -1) (+.f64 (.f64 x (*.f64 x -1/4)) (fma.f64 (pow.f64 x 4) 1/48 1/2)))
(.f64 (+.f64 (sqrt.f64 5) -1) (+.f64 (fma.f64 (pow.f64 x 4) 1/48 1/2) (.f64 x (*.f64 x -1/4))))
(+.f64 (.f64 1/48 (.f64 (-.f64 (sqrt.f64 5) 1) (pow.f64 x 4))) (+.f64 (.f64 -1/4 (.f64 (-.f64 (sqrt.f64 5) 1) (pow.f64 x 2))) (+.f64 (.f64 -1/1440 (.f64 (-.f64 (sqrt.f64 5) 1) (pow.f64 x 6))) (*.f64 1/2 (-.f64 (sqrt.f64 5) 1)))))
(fma.f64 1/48 (.f64 (+.f64 (sqrt.f64 5) -1) (pow.f64 x 4)) (fma.f64 -1/4 (.f64 (+.f64 (sqrt.f64 5) -1) (.f64 x x)) (fma.f64 -1/1440 (.f64 (+.f64 (sqrt.f64 5) -1) (pow.f64 x 6)) (*.f64 (+.f64 (sqrt.f64 5) -1) 1/2))))
(fma.f64 1/48 (.f64 (+.f64 (sqrt.f64 5) -1) (pow.f64 x 4)) (fma.f64 -1/4 (.f64 (+.f64 (sqrt.f64 5) -1) (.f64 x x)) (fma.f64 (+.f64 (sqrt.f64 5) -1) 1/2 (.f64 (+.f64 (sqrt.f64 5) -1) (*.f64 (pow.f64 x 6) -1/1440)))))
(+.f64 (.f64 (+.f64 (sqrt.f64 5) -1) (+.f64 1/2 (.f64 (pow.f64 x 6) -1/1440))) (.f64 (+.f64 (sqrt.f64 5) -1) (+.f64 (.f64 x (.f64 x -1/4)) (.f64 (pow.f64 x 4) 1/48))))
(.f64 (+.f64 (sqrt.f64 5) -1) (+.f64 (fma.f64 x (.f64 x -1/4) (*.f64 (pow.f64 x 6) -1/1440)) (fma.f64 (pow.f64 x 4) 1/48 1/2)))
(.f64 1/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))
(.f64 (.f64 (+.f64 (sqrt.f64 5) -1) 1/2) (cos.f64 x))
(.f64 (+.f64 (sqrt.f64 5) -1) (.f64 (cos.f64 x) 1/2))
(*.f64 (cos.f64 x) (fma.f64 (sqrt.f64 5) 1/2 -1/2))
(.f64 1/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))
(.f64 (.f64 (+.f64 (sqrt.f64 5) -1) 1/2) (cos.f64 x))
(.f64 (+.f64 (sqrt.f64 5) -1) (.f64 (cos.f64 x) 1/2))
(*.f64 (cos.f64 x) (fma.f64 (sqrt.f64 5) 1/2 -1/2))
(.f64 1/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))
(.f64 (.f64 (+.f64 (sqrt.f64 5) -1) 1/2) (cos.f64 x))
(.f64 (+.f64 (sqrt.f64 5) -1) (.f64 (cos.f64 x) 1/2))
(*.f64 (cos.f64 x) (fma.f64 (sqrt.f64 5) 1/2 -1/2))
(.f64 1/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))
(.f64 (.f64 (+.f64 (sqrt.f64 5) -1) 1/2) (cos.f64 x))
(.f64 (+.f64 (sqrt.f64 5) -1) (.f64 (cos.f64 x) 1/2))
(*.f64 (cos.f64 x) (fma.f64 (sqrt.f64 5) 1/2 -1/2))
(.f64 1/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))
(.f64 (.f64 (+.f64 (sqrt.f64 5) -1) 1/2) (cos.f64 x))
(.f64 (+.f64 (sqrt.f64 5) -1) (.f64 (cos.f64 x) 1/2))
(*.f64 (cos.f64 x) (fma.f64 (sqrt.f64 5) 1/2 -1/2))
(.f64 1/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))
(.f64 (.f64 (+.f64 (sqrt.f64 5) -1) 1/2) (cos.f64 x))
(.f64 (+.f64 (sqrt.f64 5) -1) (.f64 (cos.f64 x) 1/2))
(*.f64 (cos.f64 x) (fma.f64 (sqrt.f64 5) 1/2 -1/2))
(.f64 1/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))
(.f64 (.f64 (+.f64 (sqrt.f64 5) -1) 1/2) (cos.f64 x))
(.f64 (+.f64 (sqrt.f64 5) -1) (.f64 (cos.f64 x) 1/2))
(*.f64 (cos.f64 x) (fma.f64 (sqrt.f64 5) 1/2 -1/2))
(.f64 1/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))
(.f64 (.f64 (+.f64 (sqrt.f64 5) -1) 1/2) (cos.f64 x))
(.f64 (+.f64 (sqrt.f64 5) -1) (.f64 (cos.f64 x) 1/2))
(*.f64 (cos.f64 x) (fma.f64 (sqrt.f64 5) 1/2 -1/2))

localize94.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(cbrt.f64 (-.f64 (cos.f64 x) (cos.f64 y)))
✓	0.6b	(pow.f64 (cbrt.f64 (-.f64 (cos.f64 x) (cos.f64 y))) 3)
	1.0b	(-.f64 3 (sqrt.f64 5))
	1.4b	(-.f64 (cos.f64 x) (cos.f64 y))

Compiler

Compiled 256 to 167 computations (34.8% saved)

series22.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
4.0ms	y	@	inf	(pow.f64 (cbrt.f64 (-.f64 (cos.f64 x) (cos.f64 y))) 3)
4.0ms	x	@	0	(pow.f64 (cbrt.f64 (-.f64 (cos.f64 x) (cos.f64 y))) 3)
4.0ms	y	@	0	(pow.f64 (cbrt.f64 (-.f64 (cos.f64 x) (cos.f64 y))) 3)
2.0ms	y	@	-inf	(pow.f64 (cbrt.f64 (-.f64 (cos.f64 x) (cos.f64 y))) 3)
2.0ms	x	@	inf	(pow.f64 (cbrt.f64 (-.f64 (cos.f64 x) (cos.f64 y))) 3)

rewrite86.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

582×	`prod-diff_binary64`
414×	`log-prod_binary64`
316×	`exp-prod_binary64`
288×	`fma-def_binary64`
247×	`pow-prod-down_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	18
1	204	18
2	2491	18

Stop Event

1×	node limit

Counts

2 → 164

Calls

Call 1

Inputs
(pow.f64 (cbrt.f64 (-.f64 (cos.f64 x) (cos.f64 y))) 3)
(cbrt.f64 (-.f64 (cos.f64 x) (cos.f64 y)))

Outputs

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#<rule egg-rr> (2) ((x +.f64 0 (-.f64 (cos.f64 x) (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 (cos.f64 x) (cos.f64 y)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (-.f64 (cos.f64 x) (cos.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 (cos.f64 x) (cos.f64 y))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 (cos.f64 x) (cos.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (cos.f64 x) (cos.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (-.f64 (cos.f64 x) (cos.f64 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (cos.f64 x) 3) (fma.f64 (cos.f64 y) (+.f64 (cos.f64 x) (cos.f64 y)) (pow.f64 (cos.f64 x) 2))) (/.f64 (pow.f64 (cos.f64 y) 3) (fma.f64 (cos.f64 y) (+.f64 (cos.f64 x) (cos.f64 y)) (pow.f64 (cos.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (+.f64 (cos.f64 x) (cos.f64 y))) (/.f64 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cbrt.f64 (-.f64 (cos.f64 x) (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (-.f64 (cos.f64 x) (cos.f64 y))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (-.f64 (cos.f64 x) (cos.f64 y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (-.f64 (cos.f64 x) (cos.f64 y)))))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (-.f64 (cos.f64 x) (cos.f64 y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (-.f64 (cos.f64 x) (cos.f64 y))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (cos.f64 x) (cos.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (-.f64 (cos.f64 x) (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (-.f64 (cos.f64 x) (cos.f64 y)))) (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 (cos.f64 x) (cos.f64 y))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 (cos.f64 x) (cos.f64 y))) 2)) (cbrt.f64 (cbrt.f64 (-.f64 (cos.f64 x) (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (-.f64 (cos.f64 x) (cos.f64 y)) 1/6) (pow.f64 (-.f64 (cos.f64 x) (cos.f64 y)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 -2) (cbrt.f64 (*.f64 (sin.f64 (*.f64 (-.f64 x y) 1/2)) (sin.f64 (*.f64 (+.f64 x y) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (-.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (cos.f64 y) 3))) (cbrt.f64 (fma.f64 (cos.f64 y) (+.f64 (cos.f64 x) (cos.f64 y)) (pow.f64 (cos.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (-.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 y) 2))) (cbrt.f64 (+.f64 (cos.f64 x) (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (cos.f64 x) (cos.f64 y)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (cos.f64 x) (cos.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (cos.f64 x) (cos.f64 y)) 2) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (cos.f64 x) (cos.f64 y)) 3) 1/9)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (-.f64 (cos.f64 x) (cos.f64 y))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (cos.f64 x) (cos.f64 y)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 (cos.f64 x) (cos.f64 y))) 2)) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (cos.f64 x) (cos.f64 y))) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (cos.f64 x) (cos.f64 y)) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (cbrt.f64 (-.f64 (cos.f64 x) (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1/3) (log.f64 (-.f64 (cos.f64 x) (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 (-.f64 (cos.f64 x) (cos.f64 y))))) 2)) (cbrt.f64 (log.f64 (cbrt.f64 (-.f64 (cos.f64 x) (cos.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (cbrt.f64 (-.f64 (cos.f64 x) (cos.f64 y)))))) (sqrt.f64 (log.f64 (cbrt.f64 (-.f64 (cos.f64 x) (cos.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 (cos.f64 x) (cos.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (-.f64 (cos.f64 x) (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (-.f64 (cos.f64 x) (cos.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (-.f64 (cos.f64 x) (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (-.f64 (cos.f64 x) (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (-.f64 (cos.f64 x) (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (-.f64 (cos.f64 x) (cos.f64 y))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 (cos.f64 x) (cos.f64 y)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (cbrt.f64 (-.f64 (cos.f64 x) (cos.f64 y))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/6 (log.f64 (-.f64 (cos.f64 x) (cos.f64 y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 (cos.f64 x) (cos.f64 y))) 2))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (-.f64 (cos.f64 x) (cos.f64 y))) 1) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (-.f64 (cos.f64 x) (cos.f64 y))) 1/3) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 (cos.f64 x) (cos.f64 y)))) 1) 1))))))

simplify113.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

544×	`distribute-rgt-in_binary64`
538×	`distribute-lft-in_binary64`
524×	`*-commutative_binary64`
498×	`associate-+l+_binary64`
452×	`associate-+r+_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	170	1746
1	593	1658
2	2157	1559
3	7484	1559

Stop Event

1×	node limit

Counts

212 → 199

Calls

Call 1

Inputs
(*.f64 (pow.f64 1 1/3) (-.f64 1 (cos.f64 y)))
(+.f64 (.f64 (+.f64 (.f64 -1/6 (pow.f64 1 1/3)) (.f64 -1/3 (pow.f64 1 1/3))) (pow.f64 x 2)) (.f64 (pow.f64 1 1/3) (-.f64 1 (cos.f64 y))))
(+.f64 (.f64 (+.f64 (.f64 1/3 (.f64 (-.f64 1/24 (.f64 1/12 (/.f64 1 (-.f64 1 (cos.f64 y))))) (pow.f64 1 1/3))) (+.f64 (.f64 1/18 (.f64 (pow.f64 1 1/3) (/.f64 1 (-.f64 1 (cos.f64 y))))) (.f64 (pow.f64 (.f64 1 (-.f64 1 (cos.f64 y))) 1/3) (+.f64 (.f64 1/36 (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 (cos.f64 y)) 4)) 1/3)) (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (-.f64 1 (cos.f64 y))) 1/3) (-.f64 1/24 (.f64 1/12 (/.f64 1 (-.f64 1 (cos.f64 y))))))))))) (pow.f64 x 4)) (+.f64 (.f64 (+.f64 (.f64 -1/6 (pow.f64 1 1/3)) (.f64 -1/3 (pow.f64 1 1/3))) (pow.f64 x 2)) (.f64 (pow.f64 1 1/3) (-.f64 1 (cos.f64 y)))))
(+.f64 (.f64 (+.f64 (.f64 1/3 (.f64 (-.f64 1/24 (.f64 1/12 (/.f64 1 (-.f64 1 (cos.f64 y))))) (pow.f64 1 1/3))) (+.f64 (.f64 1/18 (.f64 (pow.f64 1 1/3) (/.f64 1 (-.f64 1 (cos.f64 y))))) (.f64 (pow.f64 (.f64 1 (-.f64 1 (cos.f64 y))) 1/3) (+.f64 (.f64 1/36 (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 (cos.f64 y)) 4)) 1/3)) (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (-.f64 1 (cos.f64 y))) 1/3) (-.f64 1/24 (.f64 1/12 (/.f64 1 (-.f64 1 (cos.f64 y))))))))))) (pow.f64 x 4)) (+.f64 (.f64 (+.f64 (.f64 -1/6 (pow.f64 1 1/3)) (.f64 -1/3 (pow.f64 1 1/3))) (pow.f64 x 2)) (+.f64 (.f64 (+.f64 (.f64 -1/9 (.f64 (/.f64 (-.f64 1/24 (.f64 1/12 (/.f64 1 (-.f64 1 (cos.f64 y))))) (-.f64 1 (cos.f64 y))) (pow.f64 1 1/3))) (+.f64 (.f64 -1/6 (.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 (cos.f64 y)) 2)) 1/3) (+.f64 (.f64 1/36 (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 (cos.f64 y)) 4)) 1/3)) (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (-.f64 1 (cos.f64 y))) 1/3) (-.f64 1/24 (.f64 1/12 (/.f64 1 (-.f64 1 (cos.f64 y)))))))))) (+.f64 (.f64 1/3 (.f64 (pow.f64 1 1/3) (-.f64 (.f64 1/216 (/.f64 1 (pow.f64 (-.f64 1 (cos.f64 y)) 2))) (+.f64 (.f64 -1/3 (/.f64 (-.f64 1/24 (.f64 1/12 (/.f64 1 (-.f64 1 (cos.f64 y))))) (-.f64 1 (cos.f64 y)))) 1/720)))) (.f64 (pow.f64 (.f64 1 (-.f64 1 (cos.f64 y))) 1/3) (+.f64 (.f64 -1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 (cos.f64 y)) 4)) 1/3) (-.f64 1/24 (.f64 1/12 (/.f64 1 (-.f64 1 (cos.f64 y))))))) (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (-.f64 1 (cos.f64 y))) 1/3) (-.f64 (.f64 1/216 (/.f64 1 (pow.f64 (-.f64 1 (cos.f64 y)) 2))) (+.f64 (.f64 -1/3 (/.f64 (-.f64 1/24 (.f64 1/12 (/.f64 1 (-.f64 1 (cos.f64 y))))) (-.f64 1 (cos.f64 y)))) 1/720))))))))) (pow.f64 x 6)) (*.f64 (pow.f64 1 1/3) (-.f64 1 (cos.f64 y))))))
(*.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (pow.f64 1 1/3))
(*.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (pow.f64 1 1/3))
(*.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (pow.f64 1 1/3))
(*.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (pow.f64 1 1/3))
(*.f64 (pow.f64 1 1/3) (-.f64 (cos.f64 x) (cos.f64 y)))
(*.f64 (pow.f64 1 1/3) (-.f64 (cos.f64 x) (cos.f64 y)))
(*.f64 (pow.f64 1 1/3) (-.f64 (cos.f64 x) (cos.f64 y)))
(*.f64 (pow.f64 1 1/3) (-.f64 (cos.f64 x) (cos.f64 y)))
(*.f64 (pow.f64 1 1/3) (-.f64 (cos.f64 x) 1))
(+.f64 (.f64 (pow.f64 1 1/3) (-.f64 (cos.f64 x) 1)) (.f64 (+.f64 (.f64 1/6 (pow.f64 1 1/3)) (.f64 1/3 (pow.f64 1 1/3))) (pow.f64 y 2)))
(+.f64 (.f64 (pow.f64 y 4) (+.f64 (.f64 1/18 (.f64 (pow.f64 1 1/3) (/.f64 1 (-.f64 (cos.f64 x) 1)))) (+.f64 (.f64 (pow.f64 (.f64 1 (-.f64 (cos.f64 x) 1)) 1/3) (+.f64 (.f64 1/36 (pow.f64 (/.f64 1 (pow.f64 (-.f64 (cos.f64 x) 1) 4)) 1/3)) (.f64 -2/3 (.f64 (pow.f64 (/.f64 1 (-.f64 (cos.f64 x) 1)) 1/3) (+.f64 1/24 (.f64 1/12 (/.f64 1 (-.f64 (cos.f64 x) 1)))))))) (.f64 -1/3 (.f64 (+.f64 1/24 (.f64 1/12 (/.f64 1 (-.f64 (cos.f64 x) 1)))) (pow.f64 1 1/3)))))) (+.f64 (.f64 (pow.f64 1 1/3) (-.f64 (cos.f64 x) 1)) (.f64 (+.f64 (.f64 1/6 (pow.f64 1 1/3)) (.f64 1/3 (pow.f64 1 1/3))) (pow.f64 y 2))))
(+.f64 (.f64 (pow.f64 y 4) (+.f64 (.f64 1/18 (.f64 (pow.f64 1 1/3) (/.f64 1 (-.f64 (cos.f64 x) 1)))) (+.f64 (.f64 (pow.f64 (.f64 1 (-.f64 (cos.f64 x) 1)) 1/3) (+.f64 (.f64 1/36 (pow.f64 (/.f64 1 (pow.f64 (-.f64 (cos.f64 x) 1) 4)) 1/3)) (.f64 -2/3 (.f64 (pow.f64 (/.f64 1 (-.f64 (cos.f64 x) 1)) 1/3) (+.f64 1/24 (.f64 1/12 (/.f64 1 (-.f64 (cos.f64 x) 1)))))))) (.f64 -1/3 (.f64 (+.f64 1/24 (.f64 1/12 (/.f64 1 (-.f64 (cos.f64 x) 1)))) (pow.f64 1 1/3)))))) (+.f64 (.f64 (pow.f64 1 1/3) (-.f64 (cos.f64 x) 1)) (+.f64 (.f64 (+.f64 (.f64 1/6 (pow.f64 1 1/3)) (.f64 1/3 (pow.f64 1 1/3))) (pow.f64 y 2)) (.f64 (+.f64 (.f64 -1/9 (.f64 (/.f64 (+.f64 1/24 (.f64 1/12 (/.f64 1 (-.f64 (cos.f64 x) 1)))) (-.f64 (cos.f64 x) 1)) (pow.f64 1 1/3))) (+.f64 (.f64 1/3 (.f64 (pow.f64 1 1/3) (-.f64 1/720 (+.f64 (.f64 1/216 (/.f64 1 (pow.f64 (-.f64 (cos.f64 x) 1) 2))) (.f64 -1/3 (/.f64 (+.f64 1/24 (.f64 1/12 (/.f64 1 (-.f64 (cos.f64 x) 1)))) (-.f64 (cos.f64 x) 1))))))) (+.f64 (.f64 (pow.f64 (.f64 1 (-.f64 (cos.f64 x) 1)) 1/3) (+.f64 (.f64 -1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 (cos.f64 x) 1) 4)) 1/3) (+.f64 1/24 (.f64 1/12 (/.f64 1 (-.f64 (cos.f64 x) 1)))))) (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (-.f64 (cos.f64 x) 1)) 1/3) (-.f64 1/720 (+.f64 (.f64 1/216 (/.f64 1 (pow.f64 (-.f64 (cos.f64 x) 1) 2))) (.f64 -1/3 (/.f64 (+.f64 1/24 (.f64 1/12 (/.f64 1 (-.f64 (cos.f64 x) 1)))) (-.f64 (cos.f64 x) 1))))))))) (.f64 1/6 (.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 (cos.f64 x) 1) 2)) 1/3) (+.f64 (.f64 1/36 (pow.f64 (/.f64 1 (pow.f64 (-.f64 (cos.f64 x) 1) 4)) 1/3)) (.f64 -2/3 (.f64 (pow.f64 (/.f64 1 (-.f64 (cos.f64 x) 1)) 1/3) (+.f64 1/24 (*.f64 1/12 (/.f64 1 (-.f64 (cos.f64 x) 1)))))))))))) (pow.f64 y 6)))))
(*.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (pow.f64 1 1/3))
(*.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (pow.f64 1 1/3))
(*.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (pow.f64 1 1/3))
(*.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (pow.f64 1 1/3))
(*.f64 (pow.f64 1 1/3) (-.f64 (cos.f64 x) (cos.f64 y)))
(*.f64 (pow.f64 1 1/3) (-.f64 (cos.f64 x) (cos.f64 y)))
(*.f64 (pow.f64 1 1/3) (-.f64 (cos.f64 x) (cos.f64 y)))
(*.f64 (pow.f64 1 1/3) (-.f64 (cos.f64 x) (cos.f64 y)))
(pow.f64 (-.f64 1 (cos.f64 y)) 1/3)
(+.f64 (.f64 -1/6 (.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 (cos.f64 y)) 2)) 1/3) (pow.f64 x 2))) (pow.f64 (-.f64 1 (cos.f64 y)) 1/3))
(+.f64 (.f64 1/3 (.f64 (.f64 (-.f64 1/24 (.f64 1/12 (/.f64 1 (-.f64 1 (cos.f64 y))))) (pow.f64 x 4)) (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 (cos.f64 y)) 2)) 1/3))) (+.f64 (.f64 -1/6 (.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 (cos.f64 y)) 2)) 1/3) (pow.f64 x 2))) (pow.f64 (-.f64 1 (cos.f64 y)) 1/3)))
(+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 (cos.f64 y)) 2)) 1/3) (.f64 (-.f64 (.f64 1/216 (/.f64 1 (pow.f64 (-.f64 1 (cos.f64 y)) 2))) (+.f64 (.f64 -1/3 (/.f64 (-.f64 1/24 (.f64 1/12 (/.f64 1 (-.f64 1 (cos.f64 y))))) (-.f64 1 (cos.f64 y)))) 1/720)) (pow.f64 x 6)))) (+.f64 (.f64 1/3 (.f64 (.f64 (-.f64 1/24 (.f64 1/12 (/.f64 1 (-.f64 1 (cos.f64 y))))) (pow.f64 x 4)) (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 (cos.f64 y)) 2)) 1/3))) (+.f64 (.f64 -1/6 (.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 (cos.f64 y)) 2)) 1/3) (pow.f64 x 2))) (pow.f64 (-.f64 1 (cos.f64 y)) 1/3))))
(pow.f64 (-.f64 (cos.f64 x) (cos.f64 y)) 1/3)
(pow.f64 (-.f64 (cos.f64 x) (cos.f64 y)) 1/3)
(pow.f64 (-.f64 (cos.f64 x) (cos.f64 y)) 1/3)
(pow.f64 (-.f64 (cos.f64 x) (cos.f64 y)) 1/3)
(pow.f64 (-.f64 (cos.f64 x) (cos.f64 y)) 1/3)
(pow.f64 (-.f64 (cos.f64 x) (cos.f64 y)) 1/3)
(pow.f64 (-.f64 (cos.f64 x) (cos.f64 y)) 1/3)
(pow.f64 (-.f64 (cos.f64 x) (cos.f64 y)) 1/3)
(pow.f64 (-.f64 (cos.f64 x) 1) 1/3)
(+.f64 (.f64 1/6 (.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 (cos.f64 x) 1) 2)) 1/3) (pow.f64 y 2))) (pow.f64 (-.f64 (cos.f64 x) 1) 1/3))
(+.f64 (.f64 1/6 (.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 (cos.f64 x) 1) 2)) 1/3) (pow.f64 y 2))) (+.f64 (.f64 -1/3 (.f64 (.f64 (+.f64 1/24 (.f64 1/12 (/.f64 1 (-.f64 (cos.f64 x) 1)))) (pow.f64 y 4)) (pow.f64 (/.f64 1 (pow.f64 (-.f64 (cos.f64 x) 1) 2)) 1/3))) (pow.f64 (-.f64 (cos.f64 x) 1) 1/3)))
(+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 (cos.f64 x) 1) 2)) 1/3) (.f64 (pow.f64 y 6) (-.f64 1/720 (+.f64 (.f64 1/216 (/.f64 1 (pow.f64 (-.f64 (cos.f64 x) 1) 2))) (.f64 -1/3 (/.f64 (+.f64 1/24 (.f64 1/12 (/.f64 1 (-.f64 (cos.f64 x) 1)))) (-.f64 (cos.f64 x) 1)))))))) (+.f64 (.f64 1/6 (.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 (cos.f64 x) 1) 2)) 1/3) (pow.f64 y 2))) (+.f64 (.f64 -1/3 (.f64 (.f64 (+.f64 1/24 (.f64 1/12 (/.f64 1 (-.f64 (cos.f64 x) 1)))) (pow.f64 y 4)) (pow.f64 (/.f64 1 (pow.f64 (-.f64 (cos.f64 x) 1) 2)) 1/3))) (pow.f64 (-.f64 (cos.f64 x) 1) 1/3))))
(pow.f64 (-.f64 (cos.f64 x) (cos.f64 y)) 1/3)
(pow.f64 (-.f64 (cos.f64 x) (cos.f64 y)) 1/3)
(pow.f64 (-.f64 (cos.f64 x) (cos.f64 y)) 1/3)
(pow.f64 (-.f64 (cos.f64 x) (cos.f64 y)) 1/3)
(pow.f64 (-.f64 (cos.f64 x) (cos.f64 y)) 1/3)
(pow.f64 (-.f64 (cos.f64 x) (cos.f64 y)) 1/3)
(pow.f64 (-.f64 (cos.f64 x) (cos.f64 y)) 1/3)
(pow.f64 (-.f64 (cos.f64 x) (cos.f64 y)) 1/3)

Outputs
(*.f64 (pow.f64 1 1/3) (-.f64 1 (cos.f64 y)))
(-.f64 1 (cos.f64 y))
(+.f64 (.f64 (+.f64 (.f64 -1/6 (pow.f64 1 1/3)) (.f64 -1/3 (pow.f64 1 1/3))) (pow.f64 x 2)) (.f64 (pow.f64 1 1/3) (-.f64 1 (cos.f64 y))))
(fma.f64 -1/2 (*.f64 x x) (-.f64 1 (cos.f64 y)))
(+.f64 (.f64 (+.f64 (.f64 1/3 (.f64 (-.f64 1/24 (.f64 1/12 (/.f64 1 (-.f64 1 (cos.f64 y))))) (pow.f64 1 1/3))) (+.f64 (.f64 1/18 (.f64 (pow.f64 1 1/3) (/.f64 1 (-.f64 1 (cos.f64 y))))) (.f64 (pow.f64 (.f64 1 (-.f64 1 (cos.f64 y))) 1/3) (+.f64 (.f64 1/36 (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 (cos.f64 y)) 4)) 1/3)) (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (-.f64 1 (cos.f64 y))) 1/3) (-.f64 1/24 (.f64 1/12 (/.f64 1 (-.f64 1 (cos.f64 y))))))))))) (pow.f64 x 4)) (+.f64 (.f64 (+.f64 (.f64 -1/6 (pow.f64 1 1/3)) (.f64 -1/3 (pow.f64 1 1/3))) (pow.f64 x 2)) (.f64 (pow.f64 1 1/3) (-.f64 1 (cos.f64 y)))))
(fma.f64 (fma.f64 1/3 (.f64 1 (-.f64 1/24 (/.f64 1/12 (-.f64 1 (cos.f64 y))))) (fma.f64 1/18 (/.f64 1 (-.f64 1 (cos.f64 y))) (.f64 (cbrt.f64 (-.f64 1 (cos.f64 y))) (fma.f64 1/36 (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 1 (cos.f64 y)) 4))) (.f64 2/3 (.f64 (-.f64 1/24 (/.f64 1/12 (-.f64 1 (cos.f64 y)))) (cbrt.f64 (/.f64 1 (-.f64 1 (cos.f64 y)))))))))) (pow.f64 x 4) (fma.f64 -1/2 (*.f64 x x) (-.f64 1 (cos.f64 y))))
(fma.f64 (fma.f64 1/3 (+.f64 1/24 (/.f64 -1/12 (-.f64 1 (cos.f64 y)))) (fma.f64 (cbrt.f64 (-.f64 1 (cos.f64 y))) (fma.f64 1/36 (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 1 (cos.f64 y)) 4))) (.f64 (+.f64 1/24 (/.f64 -1/12 (-.f64 1 (cos.f64 y)))) (.f64 2/3 (cbrt.f64 (/.f64 1 (-.f64 1 (cos.f64 y))))))) (/.f64 1/18 (-.f64 1 (cos.f64 y))))) (pow.f64 x 4) (fma.f64 -1/2 (*.f64 x x) (-.f64 1 (cos.f64 y))))
(fma.f64 (+.f64 (+.f64 1/72 (/.f64 -1/36 (-.f64 1 (cos.f64 y)))) (fma.f64 (cbrt.f64 (-.f64 1 (cos.f64 y))) (fma.f64 1/36 (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 1 (cos.f64 y)) 4))) (.f64 (+.f64 1/24 (/.f64 -1/12 (-.f64 1 (cos.f64 y)))) (.f64 2/3 (cbrt.f64 (/.f64 1 (-.f64 1 (cos.f64 y))))))) (/.f64 1/18 (-.f64 1 (cos.f64 y))))) (pow.f64 x 4) (fma.f64 -1/2 (*.f64 x x) (-.f64 1 (cos.f64 y))))
(+.f64 (.f64 (+.f64 (.f64 1/3 (.f64 (-.f64 1/24 (.f64 1/12 (/.f64 1 (-.f64 1 (cos.f64 y))))) (pow.f64 1 1/3))) (+.f64 (.f64 1/18 (.f64 (pow.f64 1 1/3) (/.f64 1 (-.f64 1 (cos.f64 y))))) (.f64 (pow.f64 (.f64 1 (-.f64 1 (cos.f64 y))) 1/3) (+.f64 (.f64 1/36 (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 (cos.f64 y)) 4)) 1/3)) (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (-.f64 1 (cos.f64 y))) 1/3) (-.f64 1/24 (.f64 1/12 (/.f64 1 (-.f64 1 (cos.f64 y))))))))))) (pow.f64 x 4)) (+.f64 (.f64 (+.f64 (.f64 -1/6 (pow.f64 1 1/3)) (.f64 -1/3 (pow.f64 1 1/3))) (pow.f64 x 2)) (+.f64 (.f64 (+.f64 (.f64 -1/9 (.f64 (/.f64 (-.f64 1/24 (.f64 1/12 (/.f64 1 (-.f64 1 (cos.f64 y))))) (-.f64 1 (cos.f64 y))) (pow.f64 1 1/3))) (+.f64 (.f64 -1/6 (.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 (cos.f64 y)) 2)) 1/3) (+.f64 (.f64 1/36 (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 (cos.f64 y)) 4)) 1/3)) (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (-.f64 1 (cos.f64 y))) 1/3) (-.f64 1/24 (.f64 1/12 (/.f64 1 (-.f64 1 (cos.f64 y)))))))))) (+.f64 (.f64 1/3 (.f64 (pow.f64 1 1/3) (-.f64 (.f64 1/216 (/.f64 1 (pow.f64 (-.f64 1 (cos.f64 y)) 2))) (+.f64 (.f64 -1/3 (/.f64 (-.f64 1/24 (.f64 1/12 (/.f64 1 (-.f64 1 (cos.f64 y))))) (-.f64 1 (cos.f64 y)))) 1/720)))) (.f64 (pow.f64 (.f64 1 (-.f64 1 (cos.f64 y))) 1/3) (+.f64 (.f64 -1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 (cos.f64 y)) 4)) 1/3) (-.f64 1/24 (.f64 1/12 (/.f64 1 (-.f64 1 (cos.f64 y))))))) (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (-.f64 1 (cos.f64 y))) 1/3) (-.f64 (.f64 1/216 (/.f64 1 (pow.f64 (-.f64 1 (cos.f64 y)) 2))) (+.f64 (.f64 -1/3 (/.f64 (-.f64 1/24 (.f64 1/12 (/.f64 1 (-.f64 1 (cos.f64 y))))) (-.f64 1 (cos.f64 y)))) 1/720))))))))) (pow.f64 x 6)) (*.f64 (pow.f64 1 1/3) (-.f64 1 (cos.f64 y))))))
(fma.f64 (fma.f64 1/3 (.f64 1 (-.f64 1/24 (/.f64 1/12 (-.f64 1 (cos.f64 y))))) (fma.f64 1/18 (/.f64 1 (-.f64 1 (cos.f64 y))) (.f64 (cbrt.f64 (-.f64 1 (cos.f64 y))) (fma.f64 1/36 (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 1 (cos.f64 y)) 4))) (.f64 2/3 (.f64 (-.f64 1/24 (/.f64 1/12 (-.f64 1 (cos.f64 y)))) (cbrt.f64 (/.f64 1 (-.f64 1 (cos.f64 y)))))))))) (pow.f64 x 4) (fma.f64 -1/2 (.f64 x x) (fma.f64 (fma.f64 -1/9 (.f64 1 (/.f64 (-.f64 1/24 (/.f64 1/12 (-.f64 1 (cos.f64 y)))) (-.f64 1 (cos.f64 y)))) (fma.f64 -1/6 (.f64 (fma.f64 1/36 (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 1 (cos.f64 y)) 4))) (.f64 2/3 (.f64 (-.f64 1/24 (/.f64 1/12 (-.f64 1 (cos.f64 y)))) (cbrt.f64 (/.f64 1 (-.f64 1 (cos.f64 y))))))) (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 1 (cos.f64 y)) 2)))) (+.f64 (.f64 1/3 (-.f64 (/.f64 1/216 (pow.f64 (-.f64 1 (cos.f64 y)) 2)) (fma.f64 -1/3 (/.f64 (-.f64 1/24 (/.f64 1/12 (-.f64 1 (cos.f64 y)))) (-.f64 1 (cos.f64 y))) 1/720))) (.f64 (cbrt.f64 (-.f64 1 (cos.f64 y))) (fma.f64 -1/9 (.f64 (-.f64 1/24 (/.f64 1/12 (-.f64 1 (cos.f64 y)))) (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 1 (cos.f64 y)) 4)))) (.f64 2/3 (.f64 (cbrt.f64 (/.f64 1 (-.f64 1 (cos.f64 y)))) (-.f64 (/.f64 1/216 (pow.f64 (-.f64 1 (cos.f64 y)) 2)) (fma.f64 -1/3 (/.f64 (-.f64 1/24 (/.f64 1/12 (-.f64 1 (cos.f64 y)))) (-.f64 1 (cos.f64 y))) 1/720))))))))) (pow.f64 x 6) (-.f64 1 (cos.f64 y)))))
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(fma.f64 (pow.f64 y 4) (fma.f64 1/18 (/.f64 1 (+.f64 (cos.f64 x) -1)) (fma.f64 (cbrt.f64 (+.f64 (cos.f64 x) -1)) (fma.f64 1/36 (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 (cos.f64 x) -1) 4))) (.f64 -2/3 (.f64 (cbrt.f64 (/.f64 1 (+.f64 (cos.f64 x) -1))) (+.f64 1/24 (/.f64 1/12 (+.f64 (cos.f64 x) -1)))))) (.f64 -1/3 (.f64 1 (+.f64 1/24 (/.f64 1/12 (+.f64 (cos.f64 x) -1))))))) (+.f64 (+.f64 (cos.f64 x) -1) (fma.f64 1/2 (.f64 y y) (.f64 (fma.f64 -1/9 (.f64 1 (/.f64 (+.f64 1/24 (/.f64 1/12 (+.f64 (cos.f64 x) -1))) (+.f64 (cos.f64 x) -1))) (+.f64 (.f64 1/3 (-.f64 1/720 (+.f64 (/.f64 1/216 (pow.f64 (+.f64 (cos.f64 x) -1) 2)) (.f64 -1/3 (/.f64 (+.f64 1/24 (/.f64 1/12 (+.f64 (cos.f64 x) -1))) (+.f64 (cos.f64 x) -1)))))) (fma.f64 (cbrt.f64 (+.f64 (cos.f64 x) -1)) (fma.f64 -1/9 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 (cos.f64 x) -1) 4))) (+.f64 1/24 (/.f64 1/12 (+.f64 (cos.f64 x) -1)))) (.f64 2/3 (.f64 (cbrt.f64 (/.f64 1 (+.f64 (cos.f64 x) -1))) (-.f64 1/720 (+.f64 (/.f64 1/216 (pow.f64 (+.f64 (cos.f64 x) -1) 2)) (.f64 -1/3 (/.f64 (+.f64 1/24 (/.f64 1/12 (+.f64 (cos.f64 x) -1))) (+.f64 (cos.f64 x) -1)))))))) (.f64 1/6 (.f64 (fma.f64 1/36 (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 (cos.f64 x) -1) 4))) (.f64 -2/3 (*.f64 (cbrt.f64 (/.f64 1 (+.f64 (cos.f64 x) -1))) (+.f64 1/24 (/.f64 1/12 (+.f64 (cos.f64 x) -1)))))) (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 (cos.f64 x) -1) 2)))))))) (pow.f64 y 6)))))
(+.f64 (fma.f64 (pow.f64 y 4) (+.f64 (/.f64 1/18 (+.f64 (cos.f64 x) -1)) (fma.f64 (cbrt.f64 (+.f64 (cos.f64 x) -1)) (fma.f64 1/36 (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 (cos.f64 x) -1) 4))) (.f64 (+.f64 1/24 (/.f64 1/12 (+.f64 (cos.f64 x) -1))) (.f64 -2/3 (cbrt.f64 (/.f64 1 (+.f64 (cos.f64 x) -1)))))) (+.f64 -1/72 (.f64 (/.f64 1/12 (+.f64 (cos.f64 x) -1)) -1/3)))) (fma.f64 1/2 (.f64 y y) (+.f64 (cos.f64 x) -1))) (.f64 (fma.f64 -1/9 (/.f64 (+.f64 1/24 (/.f64 1/12 (+.f64 (cos.f64 x) -1))) (+.f64 (cos.f64 x) -1)) (fma.f64 1/3 (-.f64 1/720 (fma.f64 -1/3 (/.f64 (+.f64 1/24 (/.f64 1/12 (+.f64 (cos.f64 x) -1))) (+.f64 (cos.f64 x) -1)) (/.f64 1/216 (pow.f64 (+.f64 (cos.f64 x) -1) 2)))) (fma.f64 (cbrt.f64 (+.f64 (cos.f64 x) -1)) (fma.f64 2/3 (.f64 (cbrt.f64 (/.f64 1 (+.f64 (cos.f64 x) -1))) (-.f64 1/720 (fma.f64 -1/3 (/.f64 (+.f64 1/24 (/.f64 1/12 (+.f64 (cos.f64 x) -1))) (+.f64 (cos.f64 x) -1)) (/.f64 1/216 (pow.f64 (+.f64 (cos.f64 x) -1) 2))))) (.f64 (.f64 -1/9 (+.f64 1/24 (/.f64 1/12 (+.f64 (cos.f64 x) -1)))) (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 (cos.f64 x) -1) 4))))) (.f64 (fma.f64 1/36 (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 (cos.f64 x) -1) 4))) (.f64 (+.f64 1/24 (/.f64 1/12 (+.f64 (cos.f64 x) -1))) (.f64 -2/3 (cbrt.f64 (/.f64 1 (+.f64 (cos.f64 x) -1)))))) (.f64 1/6 (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 (cos.f64 x) -1) 2)))))))) (pow.f64 y 6)))
(+.f64 (fma.f64 (pow.f64 y 4) (+.f64 (/.f64 1/18 (+.f64 (cos.f64 x) -1)) (fma.f64 (cbrt.f64 (+.f64 (cos.f64 x) -1)) (fma.f64 1/36 (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 (cos.f64 x) -1) 4))) (.f64 (cbrt.f64 (/.f64 1 (+.f64 (cos.f64 x) -1))) (+.f64 -1/36 (.f64 (/.f64 1/12 (+.f64 (cos.f64 x) -1)) -2/3)))) (+.f64 -1/72 (/.f64 -1/36 (+.f64 (cos.f64 x) -1))))) (fma.f64 1/2 (.f64 y y) (+.f64 (cos.f64 x) -1))) (.f64 (fma.f64 -1/9 (/.f64 (+.f64 1/24 (/.f64 1/12 (+.f64 (cos.f64 x) -1))) (+.f64 (cos.f64 x) -1)) (fma.f64 1/3 (+.f64 1/720 (-.f64 (/.f64 -1/216 (pow.f64 (+.f64 (cos.f64 x) -1) 2)) (/.f64 (+.f64 -1/72 (/.f64 -1/36 (+.f64 (cos.f64 x) -1))) (+.f64 (cos.f64 x) -1)))) (fma.f64 (cbrt.f64 (+.f64 (cos.f64 x) -1)) (fma.f64 2/3 (.f64 (cbrt.f64 (/.f64 1 (+.f64 (cos.f64 x) -1))) (+.f64 1/720 (-.f64 (/.f64 -1/216 (pow.f64 (+.f64 (cos.f64 x) -1) 2)) (/.f64 (+.f64 -1/72 (/.f64 -1/36 (+.f64 (cos.f64 x) -1))) (+.f64 (cos.f64 x) -1))))) (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 (cos.f64 x) -1) 4))) (+.f64 -1/216 (.f64 (/.f64 1/12 (+.f64 (cos.f64 x) -1)) -1/9)))) (.f64 1/6 (.f64 (fma.f64 1/36 (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 (cos.f64 x) -1) 4))) (.f64 (cbrt.f64 (/.f64 1 (+.f64 (cos.f64 x) -1))) (+.f64 -1/36 (*.f64 (/.f64 1/12 (+.f64 (cos.f64 x) -1)) -2/3)))) (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 (cos.f64 x) -1) 2)))))))) (pow.f64 y 6)))
(*.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (pow.f64 1 1/3))
(*.f64 1 (-.f64 (cos.f64 x) (cos.f64 y)))
(-.f64 (cos.f64 x) (cos.f64 y))
(*.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (pow.f64 1 1/3))
(*.f64 1 (-.f64 (cos.f64 x) (cos.f64 y)))
(-.f64 (cos.f64 x) (cos.f64 y))
(*.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (pow.f64 1 1/3))
(*.f64 1 (-.f64 (cos.f64 x) (cos.f64 y)))
(-.f64 (cos.f64 x) (cos.f64 y))
(*.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (pow.f64 1 1/3))
(*.f64 1 (-.f64 (cos.f64 x) (cos.f64 y)))
(-.f64 (cos.f64 x) (cos.f64 y))
(*.f64 (pow.f64 1 1/3) (-.f64 (cos.f64 x) (cos.f64 y)))
(*.f64 1 (-.f64 (cos.f64 x) (cos.f64 y)))
(-.f64 (cos.f64 x) (cos.f64 y))
(*.f64 (pow.f64 1 1/3) (-.f64 (cos.f64 x) (cos.f64 y)))
(*.f64 1 (-.f64 (cos.f64 x) (cos.f64 y)))
(-.f64 (cos.f64 x) (cos.f64 y))
(*.f64 (pow.f64 1 1/3) (-.f64 (cos.f64 x) (cos.f64 y)))
(*.f64 1 (-.f64 (cos.f64 x) (cos.f64 y)))
(-.f64 (cos.f64 x) (cos.f64 y))
(*.f64 (pow.f64 1 1/3) (-.f64 (cos.f64 x) (cos.f64 y)))
(*.f64 1 (-.f64 (cos.f64 x) (cos.f64 y)))
(-.f64 (cos.f64 x) (cos.f64 y))
(pow.f64 (-.f64 1 (cos.f64 y)) 1/3)
(cbrt.f64 (-.f64 1 (cos.f64 y)))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 (cos.f64 y)) 2)) 1/3) (pow.f64 x 2))) (pow.f64 (-.f64 1 (cos.f64 y)) 1/3))
(fma.f64 -1/6 (.f64 (.f64 x x) (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 1 (cos.f64 y)) 2)))) (cbrt.f64 (-.f64 1 (cos.f64 y))))
(fma.f64 -1/6 (.f64 x (.f64 x (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 1 (cos.f64 y)) 2))))) (cbrt.f64 (-.f64 1 (cos.f64 y))))
(+.f64 (.f64 1/3 (.f64 (.f64 (-.f64 1/24 (.f64 1/12 (/.f64 1 (-.f64 1 (cos.f64 y))))) (pow.f64 x 4)) (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 (cos.f64 y)) 2)) 1/3))) (+.f64 (.f64 -1/6 (.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 (cos.f64 y)) 2)) 1/3) (pow.f64 x 2))) (pow.f64 (-.f64 1 (cos.f64 y)) 1/3)))
(fma.f64 1/3 (.f64 (-.f64 1/24 (/.f64 1/12 (-.f64 1 (cos.f64 y)))) (.f64 (pow.f64 x 4) (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 1 (cos.f64 y)) 2))))) (fma.f64 -1/6 (.f64 (.f64 x x) (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 1 (cos.f64 y)) 2)))) (cbrt.f64 (-.f64 1 (cos.f64 y)))))
(fma.f64 1/3 (.f64 (+.f64 1/24 (/.f64 -1/12 (-.f64 1 (cos.f64 y)))) (.f64 (pow.f64 x 4) (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 1 (cos.f64 y)) 2))))) (fma.f64 -1/6 (.f64 x (.f64 x (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 1 (cos.f64 y)) 2))))) (cbrt.f64 (-.f64 1 (cos.f64 y)))))
(+.f64 (cbrt.f64 (-.f64 1 (cos.f64 y))) (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 1 (cos.f64 y)) 2))) (+.f64 (.f64 -1/6 (.f64 x x)) (.f64 (+.f64 1/72 (/.f64 -1/36 (-.f64 1 (cos.f64 y)))) (pow.f64 x 4)))))
(+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 (cos.f64 y)) 2)) 1/3) (.f64 (-.f64 (.f64 1/216 (/.f64 1 (pow.f64 (-.f64 1 (cos.f64 y)) 2))) (+.f64 (.f64 -1/3 (/.f64 (-.f64 1/24 (.f64 1/12 (/.f64 1 (-.f64 1 (cos.f64 y))))) (-.f64 1 (cos.f64 y)))) 1/720)) (pow.f64 x 6)))) (+.f64 (.f64 1/3 (.f64 (.f64 (-.f64 1/24 (.f64 1/12 (/.f64 1 (-.f64 1 (cos.f64 y))))) (pow.f64 x 4)) (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 (cos.f64 y)) 2)) 1/3))) (+.f64 (.f64 -1/6 (.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 (cos.f64 y)) 2)) 1/3) (pow.f64 x 2))) (pow.f64 (-.f64 1 (cos.f64 y)) 1/3))))
(fma.f64 1/3 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 1 (cos.f64 y)) 2))) (.f64 (-.f64 (/.f64 1/216 (pow.f64 (-.f64 1 (cos.f64 y)) 2)) (fma.f64 -1/3 (/.f64 (-.f64 1/24 (/.f64 1/12 (-.f64 1 (cos.f64 y)))) (-.f64 1 (cos.f64 y))) 1/720)) (pow.f64 x 6))) (fma.f64 1/3 (.f64 (-.f64 1/24 (/.f64 1/12 (-.f64 1 (cos.f64 y)))) (.f64 (pow.f64 x 4) (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 1 (cos.f64 y)) 2))))) (fma.f64 -1/6 (.f64 (.f64 x x) (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 1 (cos.f64 y)) 2)))) (cbrt.f64 (-.f64 1 (cos.f64 y))))))
(fma.f64 1/3 (.f64 (-.f64 (/.f64 1/216 (pow.f64 (-.f64 1 (cos.f64 y)) 2)) (fma.f64 -1/3 (/.f64 (+.f64 1/24 (/.f64 -1/12 (-.f64 1 (cos.f64 y)))) (-.f64 1 (cos.f64 y))) 1/720)) (.f64 (pow.f64 x 6) (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 1 (cos.f64 y)) 2))))) (fma.f64 1/3 (.f64 (+.f64 1/24 (/.f64 -1/12 (-.f64 1 (cos.f64 y)))) (.f64 (pow.f64 x 4) (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 1 (cos.f64 y)) 2))))) (fma.f64 -1/6 (.f64 x (.f64 x (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 1 (cos.f64 y)) 2))))) (cbrt.f64 (-.f64 1 (cos.f64 y))))))
(+.f64 (fma.f64 -1/6 (.f64 x (.f64 x (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 1 (cos.f64 y)) 2))))) (cbrt.f64 (-.f64 1 (cos.f64 y)))) (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 1 (cos.f64 y)) 2))) (+.f64 (.f64 (+.f64 1/72 (/.f64 -1/36 (-.f64 1 (cos.f64 y)))) (pow.f64 x 4)) (.f64 1/3 (.f64 (+.f64 (/.f64 1/216 (pow.f64 (-.f64 1 (cos.f64 y)) 2)) (+.f64 (/.f64 (+.f64 1/72 (/.f64 -1/36 (-.f64 1 (cos.f64 y)))) (-.f64 1 (cos.f64 y))) -1/720)) (pow.f64 x 6))))))
(pow.f64 (-.f64 (cos.f64 x) (cos.f64 y)) 1/3)
(cbrt.f64 (-.f64 (cos.f64 x) (cos.f64 y)))
(pow.f64 (-.f64 (cos.f64 x) (cos.f64 y)) 1/3)
(cbrt.f64 (-.f64 (cos.f64 x) (cos.f64 y)))
(pow.f64 (-.f64 (cos.f64 x) (cos.f64 y)) 1/3)
(cbrt.f64 (-.f64 (cos.f64 x) (cos.f64 y)))
(pow.f64 (-.f64 (cos.f64 x) (cos.f64 y)) 1/3)
(cbrt.f64 (-.f64 (cos.f64 x) (cos.f64 y)))
(pow.f64 (-.f64 (cos.f64 x) (cos.f64 y)) 1/3)
(cbrt.f64 (-.f64 (cos.f64 x) (cos.f64 y)))
(pow.f64 (-.f64 (cos.f64 x) (cos.f64 y)) 1/3)
(cbrt.f64 (-.f64 (cos.f64 x) (cos.f64 y)))
(pow.f64 (-.f64 (cos.f64 x) (cos.f64 y)) 1/3)
(cbrt.f64 (-.f64 (cos.f64 x) (cos.f64 y)))
(pow.f64 (-.f64 (cos.f64 x) (cos.f64 y)) 1/3)
(cbrt.f64 (-.f64 (cos.f64 x) (cos.f64 y)))
(pow.f64 (-.f64 (cos.f64 x) 1) 1/3)
(cbrt.f64 (+.f64 (cos.f64 x) -1))
(+.f64 (.f64 1/6 (.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 (cos.f64 x) 1) 2)) 1/3) (pow.f64 y 2))) (pow.f64 (-.f64 (cos.f64 x) 1) 1/3))
(fma.f64 1/6 (.f64 (.f64 y y) (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 (cos.f64 x) -1) 2)))) (cbrt.f64 (+.f64 (cos.f64 x) -1)))
(fma.f64 1/6 (.f64 y (.f64 y (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 (cos.f64 x) -1) 2))))) (cbrt.f64 (+.f64 (cos.f64 x) -1)))
(+.f64 (.f64 1/6 (.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 (cos.f64 x) 1) 2)) 1/3) (pow.f64 y 2))) (+.f64 (.f64 -1/3 (.f64 (.f64 (+.f64 1/24 (.f64 1/12 (/.f64 1 (-.f64 (cos.f64 x) 1)))) (pow.f64 y 4)) (pow.f64 (/.f64 1 (pow.f64 (-.f64 (cos.f64 x) 1) 2)) 1/3))) (pow.f64 (-.f64 (cos.f64 x) 1) 1/3)))
(fma.f64 1/6 (.f64 (.f64 y y) (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 (cos.f64 x) -1) 2)))) (fma.f64 -1/3 (.f64 (+.f64 1/24 (/.f64 1/12 (+.f64 (cos.f64 x) -1))) (.f64 (pow.f64 y 4) (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 (cos.f64 x) -1) 2))))) (cbrt.f64 (+.f64 (cos.f64 x) -1))))
(fma.f64 1/6 (.f64 y (.f64 y (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 (cos.f64 x) -1) 2))))) (fma.f64 -1/3 (.f64 (pow.f64 y 4) (.f64 (+.f64 1/24 (/.f64 1/12 (+.f64 (cos.f64 x) -1))) (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 (cos.f64 x) -1) 2))))) (cbrt.f64 (+.f64 (cos.f64 x) -1))))
(+.f64 (cbrt.f64 (+.f64 (cos.f64 x) -1)) (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 (cos.f64 x) -1) 2))) (+.f64 (.f64 1/6 (.f64 y y)) (.f64 (pow.f64 y 4) (+.f64 -1/72 (/.f64 -1/36 (+.f64 (cos.f64 x) -1)))))))
(+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 (cos.f64 x) 1) 2)) 1/3) (.f64 (pow.f64 y 6) (-.f64 1/720 (+.f64 (.f64 1/216 (/.f64 1 (pow.f64 (-.f64 (cos.f64 x) 1) 2))) (.f64 -1/3 (/.f64 (+.f64 1/24 (.f64 1/12 (/.f64 1 (-.f64 (cos.f64 x) 1)))) (-.f64 (cos.f64 x) 1)))))))) (+.f64 (.f64 1/6 (.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 (cos.f64 x) 1) 2)) 1/3) (pow.f64 y 2))) (+.f64 (.f64 -1/3 (.f64 (.f64 (+.f64 1/24 (.f64 1/12 (/.f64 1 (-.f64 (cos.f64 x) 1)))) (pow.f64 y 4)) (pow.f64 (/.f64 1 (pow.f64 (-.f64 (cos.f64 x) 1) 2)) 1/3))) (pow.f64 (-.f64 (cos.f64 x) 1) 1/3))))
(fma.f64 1/3 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 (cos.f64 x) -1) 2))) (.f64 (-.f64 1/720 (+.f64 (/.f64 1/216 (pow.f64 (+.f64 (cos.f64 x) -1) 2)) (.f64 -1/3 (/.f64 (+.f64 1/24 (/.f64 1/12 (+.f64 (cos.f64 x) -1))) (+.f64 (cos.f64 x) -1))))) (pow.f64 y 6))) (fma.f64 1/6 (.f64 (.f64 y y) (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 (cos.f64 x) -1) 2)))) (fma.f64 -1/3 (.f64 (+.f64 1/24 (/.f64 1/12 (+.f64 (cos.f64 x) -1))) (*.f64 (pow.f64 y 4) (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 (cos.f64 x) -1) 2))))) (cbrt.f64 (+.f64 (cos.f64 x) -1)))))
(fma.f64 1/3 (.f64 (-.f64 1/720 (fma.f64 -1/3 (/.f64 (+.f64 1/24 (/.f64 1/12 (+.f64 (cos.f64 x) -1))) (+.f64 (cos.f64 x) -1)) (/.f64 1/216 (pow.f64 (+.f64 (cos.f64 x) -1) 2)))) (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 (cos.f64 x) -1) 2))) (pow.f64 y 6))) (fma.f64 1/6 (.f64 y (.f64 y (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 (cos.f64 x) -1) 2))))) (fma.f64 -1/3 (.f64 (pow.f64 y 4) (.f64 (+.f64 1/24 (/.f64 1/12 (+.f64 (cos.f64 x) -1))) (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 (cos.f64 x) -1) 2))))) (cbrt.f64 (+.f64 (cos.f64 x) -1)))))
(fma.f64 1/3 (.f64 (+.f64 1/720 (-.f64 (/.f64 -1/216 (pow.f64 (+.f64 (cos.f64 x) -1) 2)) (/.f64 (+.f64 -1/72 (/.f64 -1/36 (+.f64 (cos.f64 x) -1))) (+.f64 (cos.f64 x) -1)))) (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 (cos.f64 x) -1) 2))) (pow.f64 y 6))) (+.f64 (cbrt.f64 (+.f64 (cos.f64 x) -1)) (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 (cos.f64 x) -1) 2))) (+.f64 (.f64 1/6 (.f64 y y)) (.f64 (pow.f64 y 4) (+.f64 -1/72 (/.f64 -1/36 (+.f64 (cos.f64 x) -1))))))))
(pow.f64 (-.f64 (cos.f64 x) (cos.f64 y)) 1/3)
(cbrt.f64 (-.f64 (cos.f64 x) (cos.f64 y)))
(pow.f64 (-.f64 (cos.f64 x) (cos.f64 y)) 1/3)
(cbrt.f64 (-.f64 (cos.f64 x) (cos.f64 y)))
(pow.f64 (-.f64 (cos.f64 x) (cos.f64 y)) 1/3)
(cbrt.f64 (-.f64 (cos.f64 x) (cos.f64 y)))
(pow.f64 (-.f64 (cos.f64 x) (cos.f64 y)) 1/3)
(cbrt.f64 (-.f64 (cos.f64 x) (cos.f64 y)))
(pow.f64 (-.f64 (cos.f64 x) (cos.f64 y)) 1/3)
(cbrt.f64 (-.f64 (cos.f64 x) (cos.f64 y)))
(pow.f64 (-.f64 (cos.f64 x) (cos.f64 y)) 1/3)
(cbrt.f64 (-.f64 (cos.f64 x) (cos.f64 y)))
(pow.f64 (-.f64 (cos.f64 x) (cos.f64 y)) 1/3)
(cbrt.f64 (-.f64 (cos.f64 x) (cos.f64 y)))
(pow.f64 (-.f64 (cos.f64 x) (cos.f64 y)) 1/3)
(cbrt.f64 (-.f64 (cos.f64 x) (cos.f64 y)))

localize123.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.6b	(cbrt.f64 (.f64 (sqrt.f64 2) (+.f64 (sin.f64 x) (.f64 (sin.f64 y) -1/16))))
	0.7b	(pow.f64 (cbrt.f64 (.f64 (sqrt.f64 2) (+.f64 (sin.f64 x) (.f64 (sin.f64 y) -1/16)))) 3)
	1.0b	(-.f64 3 (sqrt.f64 5))
	1.4b	(-.f64 (cos.f64 x) (cos.f64 y))

Compiler

Compiled 325 to 209 computations (35.7% saved)

eval2.4s (7.2%)

Compiler: Compiled 61574 to 43215 computations (29.8% saved)

prune1.1s (3.2%)

Pruning

73 alts after pruning (70 fresh and 3 done)

	Pruned	Kept	Total
New	1050	38	1088
Fresh	18	32	50
Picked	1	0	1
Done	2	3	5
Total	1071	73	1144

Error

0.0b

Counts

1144 → 73

Alt Table

Click to see full alt table

Status	Error	Program
▶	32.5b	(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (+.f64 (sin.f64 x) (.f64 y -1/16))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (*.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
	0.5b	(/.f64 (fma.f64 (sqrt.f64 2) (.f64 (+.f64 (sin.f64 y) (.f64 -1/16 (sin.f64 x))) (.f64 (+.f64 (sin.f64 x) (.f64 -1/16 (sin.f64 y))) (pow.f64 (cbrt.f64 (-.f64 (cos.f64 x) (cos.f64 y))) 3))) 2) (fma.f64 (cos.f64 x) (/.f64 (+.f64 (sqrt.f64 5) -1) 2/3) (fma.f64 (cos.f64 y) (-.f64 9/2 (/.f64 (sqrt.f64 5) 2/3)) 3)))
	26.7b	(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (.f64 6 (.f64 (/.f64 (cos.f64 x) 4) (+.f64 (sqrt.f64 5) -1)))) (.f64 3/2 (sqrt.f64 5))))
	0.5b	(/.f64 (+.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x)) (+.f64 (.f64 -1/16 (sin.f64 x)) (sin.f64 y))))) 2) (+.f64 3 (+.f64 (.f64 (cos.f64 y) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5)))) (.f64 6 (*.f64 (/.f64 (cos.f64 x) 4) (+.f64 (sqrt.f64 5) -1))))))
	26.7b	(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (/.f64 (.f64 6 (cos.f64 x)) (+.f64 (sqrt.f64 5) 1))) (*.f64 3/2 (sqrt.f64 5))))
	26.7b	(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (cbrt.f64 (pow.f64 (/.f64 6 (/.f64 (+.f64 (sqrt.f64 5) 1) (cos.f64 x))) 3))) (.f64 3/2 (sqrt.f64 5))))
	1.2b	(/.f64 (+.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x)) (+.f64 (.f64 -1/16 (sin.f64 x)) (sin.f64 y))))) 2) (+.f64 3 (+.f64 (.f64 (cos.f64 y) (-.f64 9/2 (*.f64 3/2 (sqrt.f64 5)))) (pow.f64 (cbrt.f64 (/.f64 6 (/.f64 (+.f64 (sqrt.f64 5) 1) (cos.f64 x)))) 3))))
	24.1b	(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (sin.f64 x)) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (/.f64 (cos.f64 x) (.f64 1/2 (+.f64 (sqrt.f64 5) 1)))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
✓	26.7b	(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (.f64 6 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1)))) (*.f64 3/2 (sqrt.f64 5))))
	0.5b	(/.f64 (+.f64 2 (.f64 (log.f64 (pow.f64 (exp.f64 (sqrt.f64 2)) (.f64 (fma.f64 (sin.f64 y) -1/16 (sin.f64 x)) (fma.f64 (sin.f64 x) -1/16 (sin.f64 y))))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (*.f64 (/.f64 (/.f64 4 (+.f64 3 (sqrt.f64 5))) 2) (cos.f64 y)))))
	26.7b	(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (log1p.f64 (expm1.f64 (/.f64 6 (/.f64 (+.f64 (sqrt.f64 5) 1) (cos.f64 x)))))) (.f64 3/2 (sqrt.f64 5))))
	29.6b	(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (sin.f64 y)) (+.f64 (.f64 x 257/256) (.f64 -1/16 (sin.f64 y)))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (/.f64 4 (+.f64 3 (sqrt.f64 5))) 2) (cos.f64 y)))))
✓	24.1b	(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (sin.f64 x)) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (/.f64 1 (/.f64 2 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1))))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
	0.4b	(/.f64 (+.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x)) (+.f64 (.f64 -1/16 (sin.f64 x)) (sin.f64 y))))) 2) (+.f64 3 (+.f64 (.f64 (cos.f64 y) (+.f64 (neg.f64 (sqrt.f64 45/4)) 9/2)) (*.f64 6 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1))))))
	24.1b	(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (sin.f64 x)) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (/.f64 4 (+.f64 3 (sqrt.f64 5))) 2) (cos.f64 y)))))
	0.5b	(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (/.f64 1 (/.f64 2 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1))))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
	25.1b	(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) 1))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
	24.1b	(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (sin.f64 x)) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (/.f64 (+.f64 (sqrt.f64 5) -1) (/.f64 2 (cos.f64 x)))) (*.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
	0.4b	(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (/.f64 (cos.f64 x) (.f64 1/2 (+.f64 (sqrt.f64 5) 1)))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
	38.8b	(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (/.f64 6 (+.f64 (sqrt.f64 5) 1))) (.f64 3/2 (sqrt.f64 5))))
▶	24.1b	(/.f64 (+.f64 2 (.f64 (.f64 (sqrt.f64 2) (.f64 -1/16 (pow.f64 (sin.f64 y) 2))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (/.f64 4 (+.f64 3 (sqrt.f64 5))) 2) (cos.f64 y)))))
	0.6b	(log.f64 (exp.f64 (/.f64 (fma.f64 (sqrt.f64 2) (.f64 (fma.f64 -1/16 (sin.f64 x) (sin.f64 y)) (.f64 (fma.f64 (sin.f64 y) -1/16 (sin.f64 x)) (-.f64 (cos.f64 x) (cos.f64 y)))) 2) (fma.f64 (cos.f64 x) (/.f64 1 (fma.f64 1/6 (sqrt.f64 5) 1/6)) (fma.f64 (cos.f64 y) (-.f64 9/2 (*.f64 (sqrt.f64 5) 3/2)) 3)))))
	26.7b	(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 (cos.f64 x) -1)) 3))))) (-.f64 (+.f64 15/2 (.f64 6 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1)))) (*.f64 3/2 (sqrt.f64 5))))
	24.1b	(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (sin.f64 x)) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 1 (/.f64 2 (cos.f64 x))) (+.f64 (sqrt.f64 5) -1))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
▶	45.1b	(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (pow.f64 x 4) (.f64 -1/2 (sqrt.f64 2))))) (-.f64 (+.f64 15/2 (.f64 6 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1)))) (*.f64 3/2 (sqrt.f64 5))))
	24.0b	(/.f64 (+.f64 2 (.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 (sqrt.f64 2) (+.f64 (sin.f64 x) (.f64 (sin.f64 y) -1/16)))) 3) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 1 (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (*.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
	26.7b	(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (.f64 6 (pow.f64 (cbrt.f64 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1))) 3))) (*.f64 3/2 (sqrt.f64 5))))
	25.2b	(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (sin.f64 x)) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) 1))) (.f64 3 (+.f64 (+.f64 1 (/.f64 1 (/.f64 2 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1))))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
	32.4b	(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (+.f64 (sin.f64 x) (.f64 y -1/16))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (*.f64 (/.f64 (/.f64 4 (+.f64 3 (sqrt.f64 5))) 2) (cos.f64 y)))))
	26.7b	(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (.f64 6 (.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) 1) (/.f64 (cbrt.f64 (cos.f64 x)) (+.f64 (sqrt.f64 5) 1))))) (.f64 3/2 (sqrt.f64 5))))
▶	0.5b	(/.f64 (+.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x)) (+.f64 (.f64 -1/16 (sin.f64 x)) (sin.f64 y))))) 2) (+.f64 3 (+.f64 (.f64 (cos.f64 y) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5)))) (.f64 6 (log.f64 (exp.f64 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1))))))))
	0.7b	(/.f64 (+.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x)) (+.f64 (.f64 -1/16 (sin.f64 x)) (sin.f64 y))))) 2) (+.f64 3 (+.f64 (.f64 (cos.f64 y) (fma.f64 (.f64 -3/2 (cbrt.f64 5)) (pow.f64 5 1/6) 9/2)) (.f64 6 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1))))))
	0.4b	(/.f64 (+.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x)) (+.f64 (.f64 -1/16 (sin.f64 x)) (sin.f64 y))))) 2) (+.f64 3 (+.f64 (.f64 (cos.f64 y) (/.f64 9 (+.f64 9/2 (sqrt.f64 45/4)))) (*.f64 6 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1))))))
	0.4b	(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (/.f64 (cos.f64 x) (.f64 1/2 (+.f64 (sqrt.f64 5) 1)))) (.f64 (/.f64 (/.f64 4 (+.f64 3 (sqrt.f64 5))) 2) (cos.f64 y)))))
	24.0b	(/.f64 (+.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (.f64 (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x)) (+.f64 (.f64 -1/16 (sin.f64 x)) (sin.f64 y))))) 2) (+.f64 3 (+.f64 (.f64 (cos.f64 y) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5)))) (.f64 6 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1))))))
	37.6b	(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (sin.f64 x)) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 1/2 (-.f64 (sqrt.f64 5) 1))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
	0.5b	(pow.f64 (/.f64 (fma.f64 (cos.f64 x) (/.f64 1 (fma.f64 1/6 (sqrt.f64 5) 1/6)) (fma.f64 (cos.f64 y) (-.f64 9/2 (.f64 (sqrt.f64 5) 3/2)) 3)) (fma.f64 (sqrt.f64 2) (.f64 (fma.f64 -1/16 (sin.f64 x) (sin.f64 y)) (*.f64 (fma.f64 (sin.f64 y) -1/16 (sin.f64 x)) (-.f64 (cos.f64 x) (cos.f64 y)))) 2)) -1)
	26.2b	(/.f64 (fma.f64 (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2)) (.f64 -1/16 (sqrt.f64 2)) 2) (+.f64 (/.f64 6 (+.f64 1 (sqrt.f64 5))) (fma.f64 (fma.f64 (sqrt.f64 5) -3/2 9/2) (cos.f64 y) 3)))
	0.4b	(/.f64 (+.f64 (.f64 (sqrt.f64 2) (.f64 (log1p.f64 (expm1.f64 (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x)) (+.f64 (.f64 -1/16 (sin.f64 x)) (sin.f64 y))))) 2) (+.f64 3 (+.f64 (.f64 (cos.f64 y) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5)))) (.f64 6 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1))))))
	30.2b	(/.f64 (+.f64 2 (.f64 (.f64 (sin.f64 x) (.f64 (sqrt.f64 2) (+.f64 (.f64 -1/16 (sin.f64 x)) (.f64 y 257/256)))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (/.f64 4 (+.f64 3 (sqrt.f64 5))) 2) (cos.f64 y)))))
	26.3b	(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2))))) (+.f64 3 (+.f64 (.f64 6 (/.f64 1 (+.f64 (sqrt.f64 5) 1))) (.f64 (cos.f64 y) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5)))))))
	7.2b	(/.f64 (+.f64 2 (.f64 (.f64 (-.f64 (exp.f64 (log1p.f64 (.f64 (sqrt.f64 2) (+.f64 (sin.f64 x) (.f64 (sin.f64 y) -1/16))))) 1) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (*.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
	24.1b	(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (.f64 -1/16 (sin.f64 y))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (*.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
	0.6b	(/.f64 (+.f64 2 (.f64 (.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (sqrt.f64 2) (fma.f64 (sin.f64 y) -1/16 (sin.f64 x))))) 3) 3) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
✓	0.5b	(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
	25.1b	(/.f64 (+.f64 2 (.f64 (.f64 (pow.f64 (sin.f64 x) 2) (.f64 -1/16 (sqrt.f64 2))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (/.f64 4 (+.f64 3 (sqrt.f64 5))) 2) (cos.f64 y)))))
	37.4b	(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (sqrt.f64 (pow.f64 (+.f64 (cos.f64 x) -1) 2)))))) (-.f64 (+.f64 15/2 (.f64 6 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1)))) (*.f64 3/2 (sqrt.f64 5))))
	24.3b	(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (sin.f64 x)) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (pow.f64 (cbrt.f64 (.f64 (.f64 1/2 (cos.f64 x)) (+.f64 (sqrt.f64 5) -1))) 3)) (*.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
	27.1b	(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (pow.f64 (cbrt.f64 (/.f64 6 (/.f64 (+.f64 (sqrt.f64 5) 1) (cos.f64 x)))) 3)) (.f64 3/2 (sqrt.f64 5))))
	24.0b	(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 1 (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
	35.7b	(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (sin.f64 x)) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 1 (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
	0.5b	(/.f64 (+.f64 2 (.f64 (.f64 (pow.f64 (log.f64 (exp.f64 (cbrt.f64 (.f64 (sqrt.f64 2) (fma.f64 (sin.f64 y) -1/16 (sin.f64 x)))))) 3) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (log1p.f64 (expm1.f64 (-.f64 (cos.f64 x) (cos.f64 y)))))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
	26.7b	(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (.f64 6 (-.f64 (exp.f64 (log1p.f64 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1)))) 1))) (*.f64 3/2 (sqrt.f64 5))))
	1.4b	(/.f64 (+.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x)) (+.f64 (.f64 -1/16 (sin.f64 x)) (sin.f64 y))))) 2) (+.f64 3 (+.f64 (.f64 (cos.f64 y) (fma.f64 (pow.f64 (cbrt.f64 (neg.f64 (sqrt.f64 45/4))) 2) (cbrt.f64 (neg.f64 (sqrt.f64 45/4))) 9/2)) (*.f64 6 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1))))))
	25.2b	(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (sin.f64 x)) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) 1))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
	26.7b	(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (.f64 6 (log.f64 (exp.f64 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1)))))) (*.f64 3/2 (sqrt.f64 5))))
	1.9b	(/.f64 (+.f64 2 (.f64 (-.f64 (exp.f64 (log1p.f64 (.f64 (sqrt.f64 2) (.f64 (fma.f64 (sin.f64 y) -1/16 (sin.f64 x)) (fma.f64 (sin.f64 x) -1/16 (sin.f64 y)))))) 1) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (/.f64 4 (+.f64 3 (sqrt.f64 5))) 2) (cos.f64 y)))))
	1.3b	(.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 (sqrt.f64 2) (.f64 (fma.f64 -1/16 (sin.f64 x) (sin.f64 y)) (.f64 (fma.f64 (sin.f64 y) -1/16 (sin.f64 x)) (-.f64 (cos.f64 x) (cos.f64 y)))) 2) (fma.f64 (cos.f64 x) (/.f64 1 (fma.f64 1/6 (sqrt.f64 5) 1/6)) (fma.f64 (cos.f64 y) (-.f64 9/2 (.f64 (sqrt.f64 5) 3/2)) 3)))) 2) (cbrt.f64 (/.f64 (fma.f64 (sqrt.f64 2) (.f64 (fma.f64 -1/16 (sin.f64 x) (sin.f64 y)) (.f64 (fma.f64 (sin.f64 y) -1/16 (sin.f64 x)) (-.f64 (cos.f64 x) (cos.f64 y)))) 2) (fma.f64 (cos.f64 x) (/.f64 1 (fma.f64 1/6 (sqrt.f64 5) 1/6)) (fma.f64 (cos.f64 y) (-.f64 9/2 (*.f64 (sqrt.f64 5) 3/2)) 3)))))
	26.0b	(/.f64 (+.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x)) (+.f64 (.f64 -1/16 (sin.f64 x)) (sin.f64 y))))) 2) (+.f64 3 (+.f64 (.f64 (cos.f64 y) (-.f64 9/2 (*.f64 3/2 (sqrt.f64 5)))) (/.f64 6 (+.f64 (sqrt.f64 5) 1)))))
	25.0b	(/.f64 (+.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) 1) (.f64 (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x)) (+.f64 (.f64 -1/16 (sin.f64 x)) (sin.f64 y))))) 2) (+.f64 3 (+.f64 (.f64 (cos.f64 y) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5)))) (.f64 6 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1))))))
	1.0b	(/.f64 (+.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x)) (+.f64 (.f64 -1/16 (sin.f64 x)) (sin.f64 y))))) 2) (+.f64 3 (+.f64 (.f64 (cos.f64 y) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5)))) (.f64 6 (pow.f64 (cbrt.f64 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1))) 3)))))
	26.7b	(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (.f64 6 (log.f64 (+.f64 1 (expm1.f64 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1))))))) (*.f64 3/2 (sqrt.f64 5))))
	25.2b	(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (sin.f64 x)) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (.f64 (.f64 (sin.f64 (.f64 (-.f64 x y) 1/2)) (sin.f64 (.f64 (+.f64 x y) 1/2))) -2))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
	0.5b	(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (/.f64 (-.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 y) 2)) (+.f64 (cos.f64 x) (cos.f64 y))))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
	26.7b	(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (log.f64 (exp.f64 (/.f64 6 (/.f64 (+.f64 (sqrt.f64 5) 1) (cos.f64 x)))))) (.f64 3/2 (sqrt.f64 5))))
	0.4b	(.f64 (fma.f64 (sqrt.f64 2) (.f64 (fma.f64 -1/16 (sin.f64 x) (sin.f64 y)) (.f64 (fma.f64 (sin.f64 y) -1/16 (sin.f64 x)) (-.f64 (cos.f64 x) (cos.f64 y)))) 2) (/.f64 1 (fma.f64 (cos.f64 x) (/.f64 1 (fma.f64 1/6 (sqrt.f64 5) 1/6)) (fma.f64 (cos.f64 y) (-.f64 9/2 (.f64 (sqrt.f64 5) 3/2)) 3))))
	24.2b	(/.f64 (fma.f64 (sqrt.f64 2) (.f64 (+.f64 (sin.f64 y) (.f64 -1/16 (sin.f64 x))) (.f64 -1/16 (.f64 (-.f64 1 (cos.f64 y)) (sin.f64 y)))) 2) (fma.f64 (cos.f64 x) (/.f64 (+.f64 (sqrt.f64 5) -1) 2/3) (fma.f64 (cos.f64 y) (-.f64 9/2 (/.f64 (sqrt.f64 5) 2/3)) 3)))
	18.5b	(/.f64 (+.f64 2 (.f64 (.f64 (sqrt.f64 (.f64 2 (pow.f64 (+.f64 (sin.f64 x) (.f64 (sin.f64 y) -1/16)) 2))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (*.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
	26.7b	(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (/.f64 6 (/.f64 (+.f64 (sqrt.f64 5) 1) (cos.f64 x)))) (.f64 3/2 (sqrt.f64 5))))
▶	0.4b	(/.f64 (+.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x)) (+.f64 (.f64 -1/16 (sin.f64 x)) (sin.f64 y))))) 2) (+.f64 3 (+.f64 (.f64 (cos.f64 y) (-.f64 9/2 (*.f64 3/2 (sqrt.f64 5)))) (/.f64 6 (/.f64 (+.f64 (sqrt.f64 5) 1) (cos.f64 x))))))
	29.4b	(+.f64 (.f64 -1/16 (/.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))) (-.f64 (+.f64 15/2 (.f64 6 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1)))) (.f64 3/2 (sqrt.f64 5))))) (+.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 y (.f64 (-.f64 (cos.f64 x) 1) (+.f64 (.f64 1/256 (sin.f64 x)) (sin.f64 x))))) (-.f64 (+.f64 15/2 (.f64 6 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1)))) (.f64 3/2 (sqrt.f64 5)))) (.f64 2 (/.f64 1 (-.f64 (+.f64 15/2 (.f64 6 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1)))) (.f64 3/2 (sqrt.f64 5)))))))
	24.1b	(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (sin.f64 x)) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (/.f64 1 (.f64 (/.f64 2 (cos.f64 x)) (/.f64 1 (+.f64 (sqrt.f64 5) -1))))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
	0.5b	(/.f64 (+.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (cbrt.f64 (-.f64 (cos.f64 x) (cos.f64 y))) 3) (.f64 (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x)) (+.f64 (.f64 -1/16 (sin.f64 x)) (sin.f64 y))))) 2) (+.f64 3 (+.f64 (.f64 (cos.f64 y) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5)))) (.f64 6 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1))))))

Compiler

Compiled 6926 to 5590 computations (19.3% saved)

localize190.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(.f64 (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x)) (+.f64 (*.f64 -1/16 (sin.f64 x)) (sin.f64 y)))
✓	0.4b	(.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x)) (+.f64 (*.f64 -1/16 (sin.f64 x)) (sin.f64 y)))))
	1.0b	(-.f64 9/2 (*.f64 3/2 (sqrt.f64 5)))
	1.4b	(-.f64 (cos.f64 x) (cos.f64 y))

Compiler

Compiled 264 to 164 computations (37.9% saved)

series7.0ms (0%)

Counts

2 → 16

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x)) (+.f64 (*.f64 -1/16 (sin.f64 x)) (sin.f64 y)))))
1.0ms	y	@	-inf	(.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x)) (+.f64 (*.f64 -1/16 (sin.f64 x)) (sin.f64 y)))))
1.0ms	x	@	0	(.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x)) (+.f64 (*.f64 -1/16 (sin.f64 x)) (sin.f64 y)))))
1.0ms	y	@	0	(.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x)) (+.f64 (*.f64 -1/16 (sin.f64 x)) (sin.f64 y)))))
1.0ms	y	@	inf	(.f64 (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x)) (+.f64 (*.f64 -1/16 (sin.f64 x)) (sin.f64 y)))

rewrite214.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

792×	`fma-def_binary64`
378×	`fma-neg_binary64`
374×	`expm1-udef_binary64`
374×	`log1p-udef_binary64`
217×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	55
1	409	55
2	6023	55

Stop Event

1×	node limit

Counts

2 → 98

Calls

Call 1

Inputs

(*.f64 (sqrt.f64 2) (*.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (*.f64 (+.f64 (*.f64 -1/16 (sin.f64 y)) (sin.f64 x)) (+.f64 (*.f64 -1/16 (sin.f64 x)) (sin.f64 y)))))

(*.f64 (+.f64 (*.f64 -1/16 (sin.f64 y)) (sin.f64 x)) (+.f64 (*.f64 -1/16 (sin.f64 x)) (sin.f64 y)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 -1/16 (*.f64 (sin.f64 x) (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)))) (*.f64 (sqrt.f64 2) (-.f64 (cos.f64 x) (cos.f64 y)))) (*.f64 (*.f64 (sin.f64 y) (fma.f64 -1/16 (sin.f64 y) (sin.f64 x))) (*.f64 (sqrt.f64 2) (-.f64 (cos.f64 x) (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (sqrt.f64 2) (-.f64 (cos.f64 x) (cos.f64 y))) (*.f64 -1/16 (*.f64 (sin.f64 x) (fma.f64 -1/16 (sin.f64 y) (sin.f64 x))))) (*.f64 (*.f64 (sqrt.f64 2) (-.f64 (cos.f64 x) (cos.f64 y))) (*.f64 (sin.f64 y) (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)) (fma.f64 -1/16 (sin.f64 x) (sin.f64 y))) (*.f64 (sqrt.f64 2) (-.f64 (cos.f64 x) (cos.f64 y)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)) (fma.f64 -1/16 (sin.f64 x) (sin.f64 y))) (*.f64 (sqrt.f64 2) (-.f64 (cos.f64 x) (cos.f64 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)) (fma.f64 -1/16 (sin.f64 x) (sin.f64 y))) (*.f64 (sqrt.f64 2) (-.f64 (cos.f64 x) (cos.f64 y)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (*.f64 (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)) (fma.f64 -1/16 (sin.f64 x) (sin.f64 y))) (*.f64 (sqrt.f64 2) (-.f64 (cos.f64 x) (cos.f64 y))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (*.f64 (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)) (fma.f64 -1/16 (sin.f64 x) (sin.f64 y))) (*.f64 (sqrt.f64 2) (-.f64 (cos.f64 x) (cos.f64 y))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 2 (pow.f64 (*.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (*.f64 (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)) (fma.f64 -1/16 (sin.f64 x) (sin.f64 y)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 (-.f64 (cos.f64 x) (cos.f64 y))) (*.f64 (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)) (fma.f64 -1/16 (sin.f64 x) (sin.f64 y)))) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (*.f64 (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)) (fma.f64 -1/16 (sin.f64 x) (sin.f64 y))) (*.f64 (sqrt.f64 2) (-.f64 (cos.f64 x) (cos.f64 y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)) (fma.f64 -1/16 (sin.f64 x) (sin.f64 y))) (*.f64 (sqrt.f64 2) (-.f64 (cos.f64 x) (cos.f64 y)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (*.f64 2 (sqrt.f64 2)) (pow.f64 (*.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (*.f64 (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)) (fma.f64 -1/16 (sin.f64 x) (sin.f64 y)))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (*.f64 (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)) (fma.f64 -1/16 (sin.f64 x) (sin.f64 y)))) 3) (*.f64 2 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (*.f64 (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)) (fma.f64 -1/16 (sin.f64 x) (sin.f64 y))) (*.f64 (sqrt.f64 2) (-.f64 (cos.f64 x) (cos.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (*.f64 (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)) (fma.f64 -1/16 (sin.f64 x) (sin.f64 y))) (*.f64 (sqrt.f64 2) (-.f64 (cos.f64 x) (cos.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (*.f64 (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)) (fma.f64 -1/16 (sin.f64 x) (sin.f64 y))) (*.f64 (sqrt.f64 2) (-.f64 (cos.f64 x) (cos.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)) (fma.f64 -1/16 (sin.f64 x) (sin.f64 y))) (*.f64 (sqrt.f64 2) (-.f64 (cos.f64 x) (cos.f64 y))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1/16 (*.f64 (sin.f64 x) (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)))) (*.f64 (sqrt.f64 2) (-.f64 (cos.f64 x) (cos.f64 y))) (*.f64 (*.f64 (sin.f64 y) (fma.f64 -1/16 (sin.f64 y) (sin.f64 x))) (*.f64 (sqrt.f64 2) (-.f64 (cos.f64 x) (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 2) (-.f64 (cos.f64 x) (cos.f64 y))) (*.f64 -1/16 (*.f64 (sin.f64 x) (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)))) (*.f64 (*.f64 (sqrt.f64 2) (-.f64 (cos.f64 x) (cos.f64 y))) (*.f64 (sin.f64 y) (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)))))))))

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(sin.f64 x)))) (*.f64 -1/16 (*.f64 (sin.f64 x) (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 (fma.f64 -1/16 (sin.f64 y) (sin.f64 x))) (sqrt.f64 (*.f64 -1/16 (sin.f64 x)))) (*.f64 (sqrt.f64 (fma.f64 -1/16 (sin.f64 y) (sin.f64 x))) (sqrt.f64 (*.f64 -1/16 (sin.f64 x)))) (*.f64 (sin.f64 y) (fma.f64 -1/16 (sin.f64 y) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)) (sin.f64 x)) -1/16 (*.f64 (sin.f64 y) (fma.f64 -1/16 (sin.f64 y) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)) (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (cbrt.f64 (sin.f64 y)) (*.f64 -1/16 (*.f64 (sin.f64 x) (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)) (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y)) (*.f64 -1/16 (*.f64 (sin.f64 x) (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 -1/16 (sin.f64 x)) (pow.f64 (cbrt.f64 (fma.f64 -1/16 (sin.f64 y) (sin.f64 x))) 2)) (cbrt.f64 (fma.f64 -1/16 (sin.f64 y) (sin.f64 x))) (*.f64 (sin.f64 y) (fma.f64 -1/16 (sin.f64 y) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 -1/16 (sin.f64 x)) (sqrt.f64 (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)))) (sqrt.f64 (fma.f64 -1/16 (sin.f64 y) (sin.f64 x))) (*.f64 (sin.f64 y) (fma.f64 -1/16 (sin.f64 y) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sin.f64 y) (pow.f64 (cbrt.f64 (fma.f64 -1/16 (sin.f64 y) (sin.f64 x))) 2)) (cbrt.f64 (fma.f64 -1/16 (sin.f64 y) (sin.f64 x))) (*.f64 -1/16 (*.f64 (sin.f64 x) (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sin.f64 y) (sqrt.f64 (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)))) (sqrt.f64 (fma.f64 -1/16 (sin.f64 y) (sin.f64 x))) (*.f64 -1/16 (*.f64 (sin.f64 x) (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)) -1/16) (sin.f64 x) (*.f64 (sin.f64 y) (fma.f64 -1/16 (sin.f64 y) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)) (pow.f64 (cbrt.f64 (*.f64 -1/16 (sin.f64 x))) 2)) (cbrt.f64 (*.f64 -1/16 (sin.f64 x))) (*.f64 (sin.f64 y) (fma.f64 -1/16 (sin.f64 y) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)) (sqrt.f64 (*.f64 -1/16 (sin.f64 x)))) (sqrt.f64 (*.f64 -1/16 (sin.f64 x))) (*.f64 (sin.f64 y) (fma.f64 -1/16 (sin.f64 y) (sin.f64 x))))))))

simplify82.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

966×	`fma-def_binary64`
699×	`associate-l_binary64`
653×	`associate-r_binary64`
406×	`distribute-lft-in_binary64`
406×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	94	657
1	322	637
2	1322	573
3	7181	573
4	7719	573

Stop Event

1×	node limit

Counts

114 → 128

Calls

Call 1

Inputs
(.f64 -1/16 (.f64 (sqrt.f64 2) (*.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2))))
(+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2)))) (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (.f64 (+.f64 (*.f64 1/256 (sin.f64 y)) (sin.f64 y)) x))))
(+.f64 (.f64 (sqrt.f64 2) (.f64 (+.f64 (.f64 1/32 (pow.f64 (sin.f64 y) 2)) (.f64 -1/16 (-.f64 1 (cos.f64 y)))) (pow.f64 x 2))) (+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2)))) (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (.f64 (+.f64 (*.f64 1/256 (sin.f64 y)) (sin.f64 y)) x)))))
(+.f64 (.f64 (sqrt.f64 2) (.f64 (+.f64 (.f64 1/32 (pow.f64 (sin.f64 y) 2)) (.f64 -1/16 (-.f64 1 (cos.f64 y)))) (pow.f64 x 2))) (+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2)))) (+.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (.f64 (+.f64 (.f64 1/256 (sin.f64 y)) (sin.f64 y)) x))) (.f64 (sqrt.f64 2) (.f64 (+.f64 (.f64 (-.f64 1 (cos.f64 y)) (+.f64 (.f64 -1/1536 (sin.f64 y)) (.f64 -1/6 (sin.f64 y)))) (.f64 -1/2 (+.f64 (.f64 1/256 (sin.f64 y)) (sin.f64 y)))) (pow.f64 x 3))))))
(.f64 -1/16 (.f64 (sqrt.f64 2) (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))
(+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1)))) (.f64 (sqrt.f64 2) (.f64 y (.f64 (-.f64 (cos.f64 x) 1) (+.f64 (*.f64 1/256 (sin.f64 x)) (sin.f64 x))))))
(+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1)))) (+.f64 (.f64 (sqrt.f64 2) (.f64 y (.f64 (-.f64 (cos.f64 x) 1) (+.f64 (.f64 1/256 (sin.f64 x)) (sin.f64 x))))) (.f64 (sqrt.f64 2) (.f64 (pow.f64 y 2) (+.f64 (.f64 -1/32 (pow.f64 (sin.f64 x) 2)) (*.f64 -1/16 (-.f64 (cos.f64 x) 1)))))))
(+.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 y 3) (+.f64 (.f64 1/2 (+.f64 (.f64 1/256 (sin.f64 x)) (sin.f64 x))) (.f64 (+.f64 (.f64 -1/1536 (sin.f64 x)) (.f64 -1/6 (sin.f64 x))) (-.f64 (cos.f64 x) 1))))) (+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1)))) (+.f64 (.f64 (sqrt.f64 2) (.f64 y (.f64 (-.f64 (cos.f64 x) 1) (+.f64 (.f64 1/256 (sin.f64 x)) (sin.f64 x))))) (.f64 (sqrt.f64 2) (.f64 (pow.f64 y 2) (+.f64 (.f64 -1/32 (pow.f64 (sin.f64 x) 2)) (.f64 -1/16 (-.f64 (cos.f64 x) 1))))))))
(*.f64 -1/16 (pow.f64 (sin.f64 x) 2))
(+.f64 (.f64 y (+.f64 (.f64 1/256 (sin.f64 x)) (sin.f64 x))) (*.f64 -1/16 (pow.f64 (sin.f64 x) 2)))
(+.f64 (.f64 y (+.f64 (.f64 1/256 (sin.f64 x)) (sin.f64 x))) (+.f64 (.f64 -1/16 (pow.f64 y 2)) (.f64 -1/16 (pow.f64 (sin.f64 x) 2))))
(+.f64 (.f64 y (+.f64 (.f64 1/256 (sin.f64 x)) (sin.f64 x))) (+.f64 (.f64 (pow.f64 y 3) (+.f64 (.f64 -1/1536 (sin.f64 x)) (.f64 -1/6 (sin.f64 x)))) (+.f64 (.f64 -1/16 (pow.f64 y 2)) (*.f64 -1/16 (pow.f64 (sin.f64 x) 2)))))
(*.f64 -1/16 (pow.f64 (sin.f64 y) 2))
(+.f64 (.f64 (+.f64 (.f64 1/256 (sin.f64 y)) (sin.f64 y)) x) (*.f64 -1/16 (pow.f64 (sin.f64 y) 2)))
(+.f64 (.f64 (+.f64 (.f64 1/256 (sin.f64 y)) (sin.f64 y)) x) (+.f64 (.f64 -1/16 (pow.f64 x 2)) (.f64 -1/16 (pow.f64 (sin.f64 y) 2))))
(+.f64 (.f64 (+.f64 (.f64 -1/1536 (sin.f64 y)) (.f64 -1/6 (sin.f64 y))) (pow.f64 x 3)) (+.f64 (.f64 (+.f64 (.f64 1/256 (sin.f64 y)) (sin.f64 y)) x) (+.f64 (.f64 -1/16 (pow.f64 x 2)) (*.f64 -1/16 (pow.f64 (sin.f64 y) 2)))))

Outputs
(.f64 -1/16 (.f64 (sqrt.f64 2) (*.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2))))
(.f64 (.f64 -1/16 (sqrt.f64 2)) (*.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2)))
(.f64 -1/16 (.f64 (-.f64 1 (cos.f64 y)) (*.f64 (pow.f64 (sin.f64 y) 2) (sqrt.f64 2))))
(.f64 -1/16 (.f64 (-.f64 1 (cos.f64 y)) (*.f64 (sqrt.f64 2) (pow.f64 (sin.f64 y) 2))))
(+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2)))) (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (.f64 (+.f64 (*.f64 1/256 (sin.f64 y)) (sin.f64 y)) x))))
(fma.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2))) (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (.f64 (.f64 257/256 (sin.f64 y)) x))))
(fma.f64 -1/16 (.f64 (-.f64 1 (cos.f64 y)) (.f64 (pow.f64 (sin.f64 y) 2) (sqrt.f64 2))) (.f64 (.f64 (.f64 (sin.f64 y) 257/256) x) (.f64 (sqrt.f64 2) (-.f64 1 (cos.f64 y)))))
(.f64 (.f64 (sqrt.f64 2) (-.f64 1 (cos.f64 y))) (.f64 (sin.f64 y) (+.f64 (.f64 x 257/256) (*.f64 -1/16 (sin.f64 y)))))
(+.f64 (.f64 (sqrt.f64 2) (.f64 (+.f64 (.f64 1/32 (pow.f64 (sin.f64 y) 2)) (.f64 -1/16 (-.f64 1 (cos.f64 y)))) (pow.f64 x 2))) (+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2)))) (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (.f64 (+.f64 (*.f64 1/256 (sin.f64 y)) (sin.f64 y)) x)))))
(fma.f64 (sqrt.f64 2) (.f64 (fma.f64 1/32 (pow.f64 (sin.f64 y) 2) (.f64 -1/16 (-.f64 1 (cos.f64 y)))) (.f64 x x)) (fma.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2))) (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (.f64 (*.f64 257/256 (sin.f64 y)) x)))))
(fma.f64 (sqrt.f64 2) (.f64 x (.f64 x (fma.f64 -1/16 (-.f64 1 (cos.f64 y)) (.f64 (pow.f64 (sin.f64 y) 2) 1/32)))) (fma.f64 -1/16 (.f64 (-.f64 1 (cos.f64 y)) (.f64 (pow.f64 (sin.f64 y) 2) (sqrt.f64 2))) (.f64 (.f64 (.f64 (sin.f64 y) 257/256) x) (*.f64 (sqrt.f64 2) (-.f64 1 (cos.f64 y))))))
(fma.f64 (sqrt.f64 2) (.f64 (fma.f64 -1/16 (-.f64 1 (cos.f64 y)) (.f64 (pow.f64 (sin.f64 y) 2) 1/32)) (.f64 x x)) (.f64 (.f64 (sqrt.f64 2) (-.f64 1 (cos.f64 y))) (.f64 (sin.f64 y) (+.f64 (.f64 x 257/256) (.f64 -1/16 (sin.f64 y))))))
(+.f64 (.f64 (sqrt.f64 2) (.f64 (+.f64 (.f64 1/32 (pow.f64 (sin.f64 y) 2)) (.f64 -1/16 (-.f64 1 (cos.f64 y)))) (pow.f64 x 2))) (+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2)))) (+.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (.f64 (+.f64 (.f64 1/256 (sin.f64 y)) (sin.f64 y)) x))) (.f64 (sqrt.f64 2) (.f64 (+.f64 (.f64 (-.f64 1 (cos.f64 y)) (+.f64 (.f64 -1/1536 (sin.f64 y)) (.f64 -1/6 (sin.f64 y)))) (.f64 -1/2 (+.f64 (.f64 1/256 (sin.f64 y)) (sin.f64 y)))) (pow.f64 x 3))))))
(fma.f64 (sqrt.f64 2) (.f64 (fma.f64 1/32 (pow.f64 (sin.f64 y) 2) (.f64 -1/16 (-.f64 1 (cos.f64 y)))) (.f64 x x)) (fma.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2))) (.f64 (sqrt.f64 2) (+.f64 (.f64 (-.f64 1 (cos.f64 y)) (.f64 (.f64 257/256 (sin.f64 y)) x)) (.f64 (fma.f64 (-.f64 1 (cos.f64 y)) (.f64 (sin.f64 y) -257/1536) (.f64 (*.f64 257/256 (sin.f64 y)) -1/2)) (pow.f64 x 3))))))
(fma.f64 (sqrt.f64 2) (.f64 x (.f64 x (fma.f64 -1/16 (-.f64 1 (cos.f64 y)) (.f64 (pow.f64 (sin.f64 y) 2) 1/32)))) (fma.f64 (sqrt.f64 2) (fma.f64 (-.f64 1 (cos.f64 y)) (.f64 (.f64 (sin.f64 y) 257/256) x) (.f64 (fma.f64 (-.f64 1 (cos.f64 y)) (.f64 (sin.f64 y) -257/1536) (.f64 -257/512 (sin.f64 y))) (pow.f64 x 3))) (.f64 -1/16 (.f64 (-.f64 1 (cos.f64 y)) (*.f64 (pow.f64 (sin.f64 y) 2) (sqrt.f64 2))))))
(+.f64 (.f64 (.f64 (sqrt.f64 2) (-.f64 1 (cos.f64 y))) (.f64 (sin.f64 y) (+.f64 (.f64 x 257/256) (.f64 -1/16 (sin.f64 y))))) (.f64 (sqrt.f64 2) (+.f64 (.f64 (fma.f64 (-.f64 1 (cos.f64 y)) (.f64 (sin.f64 y) -257/1536) (.f64 (sin.f64 y) -257/512)) (pow.f64 x 3)) (.f64 (fma.f64 -1/16 (-.f64 1 (cos.f64 y)) (.f64 (pow.f64 (sin.f64 y) 2) 1/32)) (.f64 x x)))))
(.f64 -1/16 (.f64 (sqrt.f64 2) (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))
(.f64 (.f64 -1/16 (sqrt.f64 2)) (*.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1)))
(.f64 (.f64 (*.f64 -1/16 (sqrt.f64 2)) (pow.f64 (sin.f64 x) 2)) (+.f64 (cos.f64 x) -1))
(.f64 (pow.f64 (sin.f64 x) 2) (.f64 (sqrt.f64 2) (fma.f64 -1/16 (cos.f64 x) 1/16)))
(+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1)))) (.f64 (sqrt.f64 2) (.f64 y (.f64 (-.f64 (cos.f64 x) 1) (+.f64 (*.f64 1/256 (sin.f64 x)) (sin.f64 x))))))
(fma.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1))) (.f64 (sqrt.f64 2) (.f64 (.f64 y (+.f64 (cos.f64 x) -1)) (.f64 257/256 (sin.f64 x)))))
(fma.f64 -1/16 (.f64 (pow.f64 (sin.f64 x) 2) (.f64 (+.f64 (cos.f64 x) -1) (sqrt.f64 2))) (.f64 (sqrt.f64 2) (.f64 (.f64 (sin.f64 x) 257/256) (.f64 y (+.f64 (cos.f64 x) -1)))))
(.f64 (+.f64 (cos.f64 x) -1) (+.f64 (.f64 (sqrt.f64 2) (.f64 -1/16 (pow.f64 (sin.f64 x) 2))) (.f64 (sqrt.f64 2) (.f64 y (.f64 (sin.f64 x) 257/256)))))
(+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1)))) (+.f64 (.f64 (sqrt.f64 2) (.f64 y (.f64 (-.f64 (cos.f64 x) 1) (+.f64 (.f64 1/256 (sin.f64 x)) (sin.f64 x))))) (.f64 (sqrt.f64 2) (.f64 (pow.f64 y 2) (+.f64 (.f64 -1/32 (pow.f64 (sin.f64 x) 2)) (*.f64 -1/16 (-.f64 (cos.f64 x) 1)))))))
(fma.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1))) (.f64 (sqrt.f64 2) (+.f64 (.f64 (.f64 y (+.f64 (cos.f64 x) -1)) (.f64 257/256 (sin.f64 x))) (.f64 (.f64 y y) (fma.f64 -1/32 (pow.f64 (sin.f64 x) 2) (*.f64 -1/16 (+.f64 (cos.f64 x) -1)))))))
(fma.f64 (sqrt.f64 2) (fma.f64 y (.f64 (+.f64 (cos.f64 x) -1) (.f64 (sin.f64 x) 257/256)) (.f64 y (.f64 y (fma.f64 -1/16 (+.f64 (cos.f64 x) -1) (.f64 (pow.f64 (sin.f64 x) 2) -1/32))))) (.f64 (.f64 (.f64 -1/16 (sqrt.f64 2)) (pow.f64 (sin.f64 x) 2)) (+.f64 (cos.f64 x) -1)))
(.f64 (sqrt.f64 2) (+.f64 (.f64 (pow.f64 (sin.f64 x) 2) (fma.f64 -1/16 (cos.f64 x) 1/16)) (.f64 y (+.f64 (.f64 y (fma.f64 (pow.f64 (sin.f64 x) 2) -1/32 (fma.f64 -1/16 (cos.f64 x) 1/16))) (.f64 (sin.f64 x) (.f64 (+.f64 (cos.f64 x) -1) 257/256))))))
(+.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 y 3) (+.f64 (.f64 1/2 (+.f64 (.f64 1/256 (sin.f64 x)) (sin.f64 x))) (.f64 (+.f64 (.f64 -1/1536 (sin.f64 x)) (.f64 -1/6 (sin.f64 x))) (-.f64 (cos.f64 x) 1))))) (+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1)))) (+.f64 (.f64 (sqrt.f64 2) (.f64 y (.f64 (-.f64 (cos.f64 x) 1) (+.f64 (.f64 1/256 (sin.f64 x)) (sin.f64 x))))) (.f64 (sqrt.f64 2) (.f64 (pow.f64 y 2) (+.f64 (.f64 -1/32 (pow.f64 (sin.f64 x) 2)) (.f64 -1/16 (-.f64 (cos.f64 x) 1))))))))
(fma.f64 (sqrt.f64 2) (.f64 (pow.f64 y 3) (fma.f64 1/2 (.f64 257/256 (sin.f64 x)) (.f64 (+.f64 (cos.f64 x) -1) (.f64 (sin.f64 x) -257/1536)))) (fma.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1))) (.f64 (sqrt.f64 2) (+.f64 (.f64 (.f64 y (+.f64 (cos.f64 x) -1)) (.f64 257/256 (sin.f64 x))) (.f64 (.f64 y y) (fma.f64 -1/32 (pow.f64 (sin.f64 x) 2) (*.f64 -1/16 (+.f64 (cos.f64 x) -1))))))))
(fma.f64 (sqrt.f64 2) (.f64 (pow.f64 y 3) (fma.f64 (+.f64 (cos.f64 x) -1) (.f64 (sin.f64 x) -257/1536) (.f64 257/512 (sin.f64 x)))) (fma.f64 (sqrt.f64 2) (fma.f64 y (.f64 (+.f64 (cos.f64 x) -1) (.f64 (sin.f64 x) 257/256)) (.f64 y (.f64 y (fma.f64 -1/16 (+.f64 (cos.f64 x) -1) (.f64 (pow.f64 (sin.f64 x) 2) -1/32))))) (.f64 (.f64 (*.f64 -1/16 (sqrt.f64 2)) (pow.f64 (sin.f64 x) 2)) (+.f64 (cos.f64 x) -1))))
(fma.f64 (sqrt.f64 2) (.f64 y (+.f64 (.f64 y (fma.f64 (pow.f64 (sin.f64 x) 2) -1/32 (fma.f64 -1/16 (cos.f64 x) 1/16))) (.f64 (sin.f64 x) (.f64 (+.f64 (cos.f64 x) -1) 257/256)))) (.f64 (sqrt.f64 2) (+.f64 (.f64 (pow.f64 (sin.f64 x) 2) (fma.f64 -1/16 (cos.f64 x) 1/16)) (.f64 (pow.f64 y 3) (fma.f64 (sin.f64 x) (+.f64 (.f64 (cos.f64 x) -257/1536) 257/1536) (*.f64 (sin.f64 x) 257/512))))))
(*.f64 -1/16 (pow.f64 (sin.f64 x) 2))
(+.f64 (.f64 y (+.f64 (.f64 1/256 (sin.f64 x)) (sin.f64 x))) (*.f64 -1/16 (pow.f64 (sin.f64 x) 2)))
(fma.f64 y (.f64 257/256 (sin.f64 x)) (.f64 -1/16 (pow.f64 (sin.f64 x) 2)))
(fma.f64 -1/16 (pow.f64 (sin.f64 x) 2) (.f64 y (.f64 (sin.f64 x) 257/256)))
(.f64 (sin.f64 x) (+.f64 (.f64 -1/16 (sin.f64 x)) (*.f64 y 257/256)))
(+.f64 (.f64 y (+.f64 (.f64 1/256 (sin.f64 x)) (sin.f64 x))) (+.f64 (.f64 -1/16 (pow.f64 y 2)) (.f64 -1/16 (pow.f64 (sin.f64 x) 2))))
(fma.f64 y (.f64 257/256 (sin.f64 x)) (.f64 -1/16 (+.f64 (*.f64 y y) (pow.f64 (sin.f64 x) 2))))
(fma.f64 -1/16 (fma.f64 y y (pow.f64 (sin.f64 x) 2)) (.f64 y (.f64 (sin.f64 x) 257/256)))
(+.f64 (.f64 y (+.f64 (.f64 1/256 (sin.f64 x)) (sin.f64 x))) (+.f64 (.f64 (pow.f64 y 3) (+.f64 (.f64 -1/1536 (sin.f64 x)) (.f64 -1/6 (sin.f64 x)))) (+.f64 (.f64 -1/16 (pow.f64 y 2)) (*.f64 -1/16 (pow.f64 (sin.f64 x) 2)))))
(fma.f64 y (.f64 257/256 (sin.f64 x)) (fma.f64 (pow.f64 y 3) (.f64 (sin.f64 x) -257/1536) (.f64 -1/16 (+.f64 (.f64 y y) (pow.f64 (sin.f64 x) 2)))))
(fma.f64 y (.f64 (sin.f64 x) 257/256) (fma.f64 -1/16 (fma.f64 y y (pow.f64 (sin.f64 x) 2)) (.f64 (sin.f64 x) (*.f64 -257/1536 (pow.f64 y 3)))))
(fma.f64 -1/16 (fma.f64 y y (pow.f64 (sin.f64 x) 2)) (fma.f64 y (.f64 (sin.f64 x) 257/256) (.f64 (sin.f64 x) (*.f64 (pow.f64 y 3) -257/1536))))
(*.f64 -1/16 (pow.f64 (sin.f64 y) 2))
(+.f64 (.f64 (+.f64 (.f64 1/256 (sin.f64 y)) (sin.f64 y)) x) (*.f64 -1/16 (pow.f64 (sin.f64 y) 2)))
(fma.f64 (.f64 257/256 (sin.f64 y)) x (.f64 -1/16 (pow.f64 (sin.f64 y) 2)))
(fma.f64 -1/16 (pow.f64 (sin.f64 y) 2) (.f64 (.f64 (sin.f64 y) 257/256) x))
(.f64 (sin.f64 y) (+.f64 (.f64 x 257/256) (*.f64 -1/16 (sin.f64 y))))
(+.f64 (.f64 (+.f64 (.f64 1/256 (sin.f64 y)) (sin.f64 y)) x) (+.f64 (.f64 -1/16 (pow.f64 x 2)) (.f64 -1/16 (pow.f64 (sin.f64 y) 2))))
(fma.f64 (.f64 257/256 (sin.f64 y)) x (.f64 -1/16 (+.f64 (*.f64 x x) (pow.f64 (sin.f64 y) 2))))
(fma.f64 -1/16 (fma.f64 x x (pow.f64 (sin.f64 y) 2)) (.f64 (.f64 (sin.f64 y) 257/256) x))
(fma.f64 -1/16 (fma.f64 x x (pow.f64 (sin.f64 y) 2)) (.f64 (sin.f64 y) (.f64 x 257/256)))
(+.f64 (.f64 (+.f64 (.f64 -1/1536 (sin.f64 y)) (.f64 -1/6 (sin.f64 y))) (pow.f64 x 3)) (+.f64 (.f64 (+.f64 (.f64 1/256 (sin.f64 y)) (sin.f64 y)) x) (+.f64 (.f64 -1/16 (pow.f64 x 2)) (*.f64 -1/16 (pow.f64 (sin.f64 y) 2)))))
(fma.f64 (.f64 (sin.f64 y) -257/1536) (pow.f64 x 3) (fma.f64 (.f64 257/256 (sin.f64 y)) x (.f64 -1/16 (+.f64 (.f64 x x) (pow.f64 (sin.f64 y) 2)))))
(fma.f64 (.f64 (sin.f64 y) -257/1536) (pow.f64 x 3) (fma.f64 -1/16 (fma.f64 x x (pow.f64 (sin.f64 y) 2)) (.f64 (*.f64 (sin.f64 y) 257/256) x)))
(fma.f64 -1/16 (fma.f64 x x (pow.f64 (sin.f64 y) 2)) (fma.f64 (.f64 (sin.f64 y) 257/256) x (.f64 (sin.f64 y) (*.f64 (pow.f64 x 3) -257/1536))))

localize85.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(-.f64 (+.f64 15/2 (.f64 6 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1)))) (.f64 3/2 (sqrt.f64 5)))
✓	0.2b	(.f64 -1/16 (.f64 (pow.f64 x 4) (*.f64 -1/2 (sqrt.f64 2))))
	0.6b	(/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1))
	0.7b	(*.f64 6 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1)))

Compiler

Compiled 135 to 118 computations (12.6% saved)

series6.0ms (0%)

Counts

2 → 16

Calls

6 calls:

Time	Variable		Point	Expression
3.0ms	x	@	0	(.f64 -1/16 (.f64 (pow.f64 x 4) (*.f64 -1/2 (sqrt.f64 2))))
1.0ms	x	@	inf	(.f64 -1/16 (.f64 (pow.f64 x 4) (*.f64 -1/2 (sqrt.f64 2))))
1.0ms	x	@	0	(-.f64 (+.f64 15/2 (.f64 6 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1)))) (.f64 3/2 (sqrt.f64 5)))
0.0ms	x	@	inf	(-.f64 (+.f64 15/2 (.f64 6 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1)))) (.f64 3/2 (sqrt.f64 5)))
0.0ms	x	@	-inf	(.f64 -1/16 (.f64 (pow.f64 x 4) (*.f64 -1/2 (sqrt.f64 2))))

rewrite139.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

980×	`prod-diff_binary64`
254×	`add-sqr-sqrt_binary64`
241×	`add-log-exp_binary64`
241×	`log1p-expm1-u_binary64`
241×	`expm1-log1p-u_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	24	40
1	530	32
2	6492	32

Stop Event

1×	node limit

Counts

2 → 117

Calls

Call 1

Inputs
(.f64 -1/16 (.f64 (pow.f64 x 4) (*.f64 -1/2 (sqrt.f64 2))))
(-.f64 (+.f64 15/2 (.f64 6 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1)))) (.f64 3/2 (sqrt.f64 5)))

Outputs

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(+.f64 (sqrt.f64 5) 1)) 15/2) (sqrt.f64 45/4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 6 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1)) 15/2) 2) -45/4)) (neg.f64 (+.f64 (fma.f64 6 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1)) 15/2) (sqrt.f64 45/4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 3375/8 (pow.f64 (-.f64 (*.f64 6 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1))) (sqrt.f64 45/4)) 3)) (+.f64 225/4 (-.f64 (*.f64 (-.f64 (*.f64 6 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1))) (sqrt.f64 45/4)) (-.f64 (*.f64 6 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1))) (sqrt.f64 45/4))) (*.f64 15/2 (-.f64 (*.f64 6 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1))) (sqrt.f64 45/4))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 6 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1)) 15/2) 3) (pow.f64 (neg.f64 (sqrt.f64 45/4)) 3)) (+.f64 (pow.f64 (fma.f64 6 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1)) 15/2) 2) (-.f64 (*.f64 (neg.f64 (sqrt.f64 45/4)) (neg.f64 (sqrt.f64 45/4))) (*.f64 (fma.f64 6 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1)) 15/2) (neg.f64 (sqrt.f64 45/4))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 225/4 (*.f64 (-.f64 (*.f64 6 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1))) (sqrt.f64 45/4)) (-.f64 (*.f64 6 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1))) (sqrt.f64 45/4)))) (-.f64 15/2 (-.f64 (*.f64 6 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1))) (sqrt.f64 45/4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (fma.f64 6 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1)) 15/2) 2) (*.f64 (neg.f64 (sqrt.f64 45/4)) (neg.f64 (sqrt.f64 45/4)))) (-.f64 (fma.f64 6 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1)) 15/2) (neg.f64 (sqrt.f64 45/4))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (fma.f64 6 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1)) 15/2) (sqrt.f64 45/4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (fma.f64 6 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1)) 15/2) (sqrt.f64 45/4)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (fma.f64 6 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1)) 15/2) (sqrt.f64 45/4))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (fma.f64 6 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1)) 15/2) (sqrt.f64 45/4))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (fma.f64 6 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1)) 15/2) (sqrt.f64 45/4)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 (fma.f64 6 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1)) 15/2) (sqrt.f64 45/4))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 (fma.f64 6 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1)) 15/2) (sqrt.f64 45/4)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (fma.f64 6 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1)) 15/2) (sqrt.f64 45/4)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (fma.f64 6 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1)) 15/2) (sqrt.f64 45/4))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (fma.f64 6 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1)) 15/2) (sqrt.f64 45/4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (fma.f64 6 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1)) 15/2) (sqrt.f64 45/4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (-.f64 (fma.f64 6 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1)) 15/2) (sqrt.f64 45/4))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 6 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1)) 15/2) (neg.f64 (sqrt.f64 45/4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (fma.f64 6 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1)) 15/2) 2)) (cbrt.f64 (fma.f64 6 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1)) 15/2)) (neg.f64 (sqrt.f64 45/4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 6 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1)) 15/2)) (sqrt.f64 (fma.f64 6 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1)) 15/2)) (neg.f64 (sqrt.f64 45/4)))))))

simplify61.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

538×	`associate-/l*_binary64`
429×	`associate-+l+_binary64`
423×	`associate-/r*_binary64`
384×	`sub-neg_binary64`
381×	`*-commutative_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	41	314
1	111	314
2	291	306
3	873	306
4	3267	298
5	7682	298

Stop Event

1×	node limit

Counts

133 → 127

Calls

Call 1

Inputs
(.f64 1/32 (.f64 (sqrt.f64 2) (pow.f64 x 4)))
(.f64 1/32 (.f64 (sqrt.f64 2) (pow.f64 x 4)))
(.f64 1/32 (.f64 (sqrt.f64 2) (pow.f64 x 4)))
(.f64 1/32 (.f64 (sqrt.f64 2) (pow.f64 x 4)))
(.f64 1/32 (.f64 (sqrt.f64 2) (pow.f64 x 4)))
(.f64 1/32 (.f64 (sqrt.f64 2) (pow.f64 x 4)))
(.f64 1/32 (.f64 (sqrt.f64 2) (pow.f64 x 4)))
(.f64 1/32 (.f64 (sqrt.f64 2) (pow.f64 x 4)))
(.f64 1/32 (.f64 (sqrt.f64 2) (pow.f64 x 4)))
(.f64 1/32 (.f64 (sqrt.f64 2) (pow.f64 x 4)))
(.f64 1/32 (.f64 (sqrt.f64 2) (pow.f64 x 4)))
(.f64 1/32 (.f64 (sqrt.f64 2) (pow.f64 x 4)))
(-.f64 (+.f64 15/2 (.f64 6 (/.f64 1 (+.f64 (sqrt.f64 5) 1)))) (.f64 3/2 (sqrt.f64 5)))
(-.f64 (+.f64 (.f64 -3 (/.f64 (pow.f64 x 2) (+.f64 (sqrt.f64 5) 1))) (+.f64 15/2 (.f64 6 (/.f64 1 (+.f64 (sqrt.f64 5) 1))))) (*.f64 3/2 (sqrt.f64 5)))
(-.f64 (+.f64 (.f64 -3 (/.f64 (pow.f64 x 2) (+.f64 (sqrt.f64 5) 1))) (+.f64 15/2 (+.f64 (.f64 1/4 (/.f64 (pow.f64 x 4) (+.f64 (sqrt.f64 5) 1))) (.f64 6 (/.f64 1 (+.f64 (sqrt.f64 5) 1)))))) (.f64 3/2 (sqrt.f64 5)))
(-.f64 (+.f64 (.f64 -3 (/.f64 (pow.f64 x 2) (+.f64 (sqrt.f64 5) 1))) (+.f64 (.f64 -1/120 (/.f64 (pow.f64 x 6) (+.f64 (sqrt.f64 5) 1))) (+.f64 15/2 (+.f64 (.f64 1/4 (/.f64 (pow.f64 x 4) (+.f64 (sqrt.f64 5) 1))) (.f64 6 (/.f64 1 (+.f64 (sqrt.f64 5) 1))))))) (*.f64 3/2 (sqrt.f64 5)))

Outputs
(.f64 1/32 (.f64 (sqrt.f64 2) (pow.f64 x 4)))
(.f64 (sqrt.f64 2) (.f64 (pow.f64 x 4) 1/32))
(.f64 (pow.f64 x 4) (.f64 1/32 (sqrt.f64 2)))
(.f64 1/32 (.f64 (sqrt.f64 2) (pow.f64 x 4)))
(.f64 (sqrt.f64 2) (.f64 (pow.f64 x 4) 1/32))
(.f64 (pow.f64 x 4) (.f64 1/32 (sqrt.f64 2)))
(.f64 1/32 (.f64 (sqrt.f64 2) (pow.f64 x 4)))
(.f64 (sqrt.f64 2) (.f64 (pow.f64 x 4) 1/32))
(.f64 (pow.f64 x 4) (.f64 1/32 (sqrt.f64 2)))
(.f64 1/32 (.f64 (sqrt.f64 2) (pow.f64 x 4)))
(.f64 (sqrt.f64 2) (.f64 (pow.f64 x 4) 1/32))
(.f64 (pow.f64 x 4) (.f64 1/32 (sqrt.f64 2)))
(.f64 1/32 (.f64 (sqrt.f64 2) (pow.f64 x 4)))
(.f64 (sqrt.f64 2) (.f64 (pow.f64 x 4) 1/32))
(.f64 (pow.f64 x 4) (.f64 1/32 (sqrt.f64 2)))
(.f64 1/32 (.f64 (sqrt.f64 2) (pow.f64 x 4)))
(.f64 (sqrt.f64 2) (.f64 (pow.f64 x 4) 1/32))
(.f64 (pow.f64 x 4) (.f64 1/32 (sqrt.f64 2)))
(.f64 1/32 (.f64 (sqrt.f64 2) (pow.f64 x 4)))
(.f64 (sqrt.f64 2) (.f64 (pow.f64 x 4) 1/32))
(.f64 (pow.f64 x 4) (.f64 1/32 (sqrt.f64 2)))
(.f64 1/32 (.f64 (sqrt.f64 2) (pow.f64 x 4)))
(.f64 (sqrt.f64 2) (.f64 (pow.f64 x 4) 1/32))
(.f64 (pow.f64 x 4) (.f64 1/32 (sqrt.f64 2)))
(.f64 1/32 (.f64 (sqrt.f64 2) (pow.f64 x 4)))
(.f64 (sqrt.f64 2) (.f64 (pow.f64 x 4) 1/32))
(.f64 (pow.f64 x 4) (.f64 1/32 (sqrt.f64 2)))
(.f64 1/32 (.f64 (sqrt.f64 2) (pow.f64 x 4)))
(.f64 (sqrt.f64 2) (.f64 (pow.f64 x 4) 1/32))
(.f64 (pow.f64 x 4) (.f64 1/32 (sqrt.f64 2)))
(.f64 1/32 (.f64 (sqrt.f64 2) (pow.f64 x 4)))
(.f64 (sqrt.f64 2) (.f64 (pow.f64 x 4) 1/32))
(.f64 (pow.f64 x 4) (.f64 1/32 (sqrt.f64 2)))
(.f64 1/32 (.f64 (sqrt.f64 2) (pow.f64 x 4)))
(.f64 (sqrt.f64 2) (.f64 (pow.f64 x 4) 1/32))
(.f64 (pow.f64 x 4) (.f64 1/32 (sqrt.f64 2)))
(-.f64 (+.f64 15/2 (.f64 6 (/.f64 1 (+.f64 (sqrt.f64 5) 1)))) (.f64 3/2 (sqrt.f64 5)))
(+.f64 (+.f64 15/2 (/.f64 6 (+.f64 1 (sqrt.f64 5)))) (*.f64 -3/2 (sqrt.f64 5)))
(+.f64 (/.f64 6 (+.f64 1 (sqrt.f64 5))) (-.f64 15/2 (*.f64 (sqrt.f64 5) 3/2)))
(fma.f64 (sqrt.f64 5) -3/2 (+.f64 15/2 (/.f64 6 (+.f64 1 (sqrt.f64 5)))))
(+.f64 (/.f64 6 (+.f64 1 (sqrt.f64 5))) (fma.f64 (sqrt.f64 5) -3/2 15/2))
(-.f64 (+.f64 (.f64 -3 (/.f64 (pow.f64 x 2) (+.f64 (sqrt.f64 5) 1))) (+.f64 15/2 (.f64 6 (/.f64 1 (+.f64 (sqrt.f64 5) 1))))) (*.f64 3/2 (sqrt.f64 5)))
(+.f64 (fma.f64 -3 (/.f64 (.f64 x x) (+.f64 1 (sqrt.f64 5))) (+.f64 15/2 (/.f64 6 (+.f64 1 (sqrt.f64 5))))) (.f64 -3/2 (sqrt.f64 5)))
(fma.f64 -3 (/.f64 (.f64 x x) (+.f64 1 (sqrt.f64 5))) (+.f64 (/.f64 6 (+.f64 1 (sqrt.f64 5))) (-.f64 15/2 (.f64 (sqrt.f64 5) 3/2))))
(fma.f64 (sqrt.f64 5) -3/2 (fma.f64 -3 (*.f64 (/.f64 x (+.f64 1 (sqrt.f64 5))) x) (+.f64 15/2 (/.f64 6 (+.f64 1 (sqrt.f64 5))))))
(+.f64 (/.f64 6 (+.f64 1 (sqrt.f64 5))) (fma.f64 (sqrt.f64 5) -3/2 (fma.f64 (/.f64 -3 (+.f64 1 (sqrt.f64 5))) (*.f64 x x) 15/2)))
(+.f64 15/2 (fma.f64 (sqrt.f64 5) -3/2 (fma.f64 -3 (*.f64 x (/.f64 x (+.f64 1 (sqrt.f64 5)))) (/.f64 6 (+.f64 1 (sqrt.f64 5))))))
(-.f64 (+.f64 (.f64 -3 (/.f64 (pow.f64 x 2) (+.f64 (sqrt.f64 5) 1))) (+.f64 15/2 (+.f64 (.f64 1/4 (/.f64 (pow.f64 x 4) (+.f64 (sqrt.f64 5) 1))) (.f64 6 (/.f64 1 (+.f64 (sqrt.f64 5) 1)))))) (.f64 3/2 (sqrt.f64 5)))
(+.f64 (fma.f64 -3 (/.f64 (.f64 x x) (+.f64 1 (sqrt.f64 5))) (+.f64 15/2 (fma.f64 1/4 (/.f64 (pow.f64 x 4) (+.f64 1 (sqrt.f64 5))) (/.f64 6 (+.f64 1 (sqrt.f64 5)))))) (.f64 -3/2 (sqrt.f64 5)))
(fma.f64 -3 (/.f64 (.f64 x x) (+.f64 1 (sqrt.f64 5))) (+.f64 (fma.f64 1/4 (/.f64 (pow.f64 x 4) (+.f64 1 (sqrt.f64 5))) (/.f64 6 (+.f64 1 (sqrt.f64 5)))) (-.f64 15/2 (.f64 (sqrt.f64 5) 3/2))))
(fma.f64 (sqrt.f64 5) -3/2 (+.f64 15/2 (fma.f64 -3 (*.f64 (/.f64 x (+.f64 1 (sqrt.f64 5))) x) (fma.f64 1/4 (/.f64 (pow.f64 x 4) (+.f64 1 (sqrt.f64 5))) (/.f64 6 (+.f64 1 (sqrt.f64 5)))))))
(+.f64 (/.f64 6 (+.f64 1 (sqrt.f64 5))) (fma.f64 (sqrt.f64 5) -3/2 (fma.f64 1/4 (/.f64 (pow.f64 x 4) (+.f64 1 (sqrt.f64 5))) (fma.f64 (/.f64 -3 (+.f64 1 (sqrt.f64 5))) (*.f64 x x) 15/2))))
(+.f64 (/.f64 6 (+.f64 1 (sqrt.f64 5))) (+.f64 (fma.f64 (sqrt.f64 5) -3/2 15/2) (.f64 (.f64 x (/.f64 x (+.f64 1 (sqrt.f64 5)))) (+.f64 -3 (.f64 x (.f64 x 1/4))))))
(-.f64 (+.f64 (.f64 -3 (/.f64 (pow.f64 x 2) (+.f64 (sqrt.f64 5) 1))) (+.f64 (.f64 -1/120 (/.f64 (pow.f64 x 6) (+.f64 (sqrt.f64 5) 1))) (+.f64 15/2 (+.f64 (.f64 1/4 (/.f64 (pow.f64 x 4) (+.f64 (sqrt.f64 5) 1))) (.f64 6 (/.f64 1 (+.f64 (sqrt.f64 5) 1))))))) (*.f64 3/2 (sqrt.f64 5)))
(+.f64 (fma.f64 -3 (/.f64 (.f64 x x) (+.f64 1 (sqrt.f64 5))) (fma.f64 -1/120 (/.f64 (pow.f64 x 6) (+.f64 1 (sqrt.f64 5))) (+.f64 15/2 (fma.f64 1/4 (/.f64 (pow.f64 x 4) (+.f64 1 (sqrt.f64 5))) (/.f64 6 (+.f64 1 (sqrt.f64 5))))))) (.f64 -3/2 (sqrt.f64 5)))
(fma.f64 -3 (/.f64 (.f64 x x) (+.f64 1 (sqrt.f64 5))) (+.f64 (fma.f64 -1/120 (/.f64 (pow.f64 x 6) (+.f64 1 (sqrt.f64 5))) (+.f64 15/2 (fma.f64 1/4 (/.f64 (pow.f64 x 4) (+.f64 1 (sqrt.f64 5))) (/.f64 6 (+.f64 1 (sqrt.f64 5)))))) (.f64 (sqrt.f64 5) -3/2)))
(fma.f64 (sqrt.f64 5) -3/2 (+.f64 (fma.f64 -1/120 (/.f64 (pow.f64 x 6) (+.f64 1 (sqrt.f64 5))) 15/2) (fma.f64 -3 (*.f64 (/.f64 x (+.f64 1 (sqrt.f64 5))) x) (fma.f64 1/4 (/.f64 (pow.f64 x 4) (+.f64 1 (sqrt.f64 5))) (/.f64 6 (+.f64 1 (sqrt.f64 5)))))))
(+.f64 (fma.f64 (/.f64 -3 (+.f64 1 (sqrt.f64 5))) (*.f64 x x) (fma.f64 1/4 (/.f64 (pow.f64 x 4) (+.f64 1 (sqrt.f64 5))) (/.f64 6 (+.f64 1 (sqrt.f64 5))))) (fma.f64 (sqrt.f64 5) -3/2 (fma.f64 -1/120 (/.f64 (pow.f64 x 6) (+.f64 1 (sqrt.f64 5))) 15/2)))
(+.f64 (fma.f64 -1/120 (/.f64 (pow.f64 x 6) (+.f64 1 (sqrt.f64 5))) (/.f64 6 (+.f64 1 (sqrt.f64 5)))) (+.f64 (fma.f64 (sqrt.f64 5) -3/2 15/2) (.f64 (.f64 x (/.f64 x (+.f64 1 (sqrt.f64 5)))) (+.f64 -3 (.f64 x (.f64 x 1/4))))))

localize94.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 (+.f64 2 (.f64 (.f64 (sqrt.f64 2) (.f64 -1/16 (pow.f64 (sin.f64 y) 2))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (/.f64 4 (+.f64 3 (sqrt.f64 5))) 2) (cos.f64 y)))))
	0.3b	(*.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))
✓	0.3b	(.f64 (sqrt.f64 2) (.f64 -1/16 (pow.f64 (sin.f64 y) 2)))
	1.4b	(-.f64 (cos.f64 x) (cos.f64 y))

Compiler

Compiled 226 to 172 computations (23.9% saved)

series46.0ms (0.1%)

Counts

2 → 36

Calls

9 calls:

Time	Variable		Point	Expression
25.0ms	x	@	inf	(/.f64 (+.f64 2 (.f64 (.f64 (sqrt.f64 2) (.f64 -1/16 (pow.f64 (sin.f64 y) 2))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (/.f64 4 (+.f64 3 (sqrt.f64 5))) 2) (cos.f64 y)))))
5.0ms	x	@	0	(/.f64 (+.f64 2 (.f64 (.f64 (sqrt.f64 2) (.f64 -1/16 (pow.f64 (sin.f64 y) 2))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (/.f64 4 (+.f64 3 (sqrt.f64 5))) 2) (cos.f64 y)))))
4.0ms	y	@	0	(/.f64 (+.f64 2 (.f64 (.f64 (sqrt.f64 2) (.f64 -1/16 (pow.f64 (sin.f64 y) 2))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (/.f64 4 (+.f64 3 (sqrt.f64 5))) 2) (cos.f64 y)))))
4.0ms	y	@	inf	(/.f64 (+.f64 2 (.f64 (.f64 (sqrt.f64 2) (.f64 -1/16 (pow.f64 (sin.f64 y) 2))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (/.f64 4 (+.f64 3 (sqrt.f64 5))) 2) (cos.f64 y)))))
3.0ms	y	@	-inf	(/.f64 (+.f64 2 (.f64 (.f64 (sqrt.f64 2) (.f64 -1/16 (pow.f64 (sin.f64 y) 2))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (/.f64 4 (+.f64 3 (sqrt.f64 5))) 2) (cos.f64 y)))))

rewrite59.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

366×	`add-sqr-sqrt_binary64`
354×	`pow1_binary64`
353×	`*-un-lft-identity_binary64`
343×	`add-log-exp_binary64`
343×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	31	82
1	727	76

Stop Event

1×	node limit

Counts

2 → 34

Calls

Call 1

Inputs

(*.f64 (sqrt.f64 2) (*.f64 -1/16 (pow.f64 (sin.f64 y) 2)))

(/.f64 (+.f64 2 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 -1/16 (pow.f64 (sin.f64 y) 2))) (-.f64 (cos.f64 x) (cos.f64 y)))) (*.f64 3 (+.f64 (+.f64 1 (*.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (*.f64 (/.f64 (/.f64 4 (+.f64 3 (sqrt.f64 5))) 2) (cos.f64 y)))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 2) (*.f64 -1/16 (pow.f64 (sin.f64 y) 2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 2) (*.f64 -1/16 (pow.f64 (sin.f64 y) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sqrt.f64 2) (*.f64 -1/16 (pow.f64 (sin.f64 y) 2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 2) (*.f64 -1/16 (pow.f64 (sin.f64 y) 2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 (*.f64 (sqrt.f64 2) -1/16)) (sin.f64 y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (sqrt.f64 2) (*.f64 -1/16 (pow.f64 (sin.f64 y) 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (sqrt.f64 2)) (*.f64 -1/16 (pow.f64 (sin.f64 y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (sqrt.f64 2) (*.f64 -1/16 (pow.f64 (sin.f64 y) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 2) (*.f64 -1/16 (pow.f64 (sin.f64 y) 2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (*.f64 2 (sqrt.f64 2)) (pow.f64 (*.f64 -1/16 (pow.f64 (sin.f64 y) 2)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 -1/16 (pow.f64 (sin.f64 y) 2)) 3) (*.f64 2 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 2) (*.f64 -1/16 (pow.f64 (sin.f64 y) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 2) (*.f64 -1/16 (pow.f64 (sin.f64 y) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sqrt.f64 2) (*.f64 -1/16 (pow.f64 (sin.f64 y) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 2) (*.f64 -1/16 (pow.f64 (sin.f64 y) 2)))) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 (sqrt.f64 2) (*.f64 (*.f64 -1/16 (pow.f64 (sin.f64 y) 2)) (-.f64 (cos.f64 x) (cos.f64 y))) 2) (*.f64 3 (fma.f64 (cos.f64 y) (*.f64 (/.f64 4 (+.f64 3 (sqrt.f64 5))) 1/2) (fma.f64 (cos.f64 x) (-.f64 (/.f64 (sqrt.f64 5) 2) 1/2) 1)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (sqrt.f64 2) (*.f64 (*.f64 -1/16 (pow.f64 (sin.f64 y) 2)) (-.f64 (cos.f64 x) (cos.f64 y))) 2) (/.f64 1 (*.f64 3 (fma.f64 (cos.f64 y) (*.f64 (/.f64 4 (+.f64 3 (sqrt.f64 5))) 1/2) (fma.f64 (cos.f64 x) (-.f64 (/.f64 (sqrt.f64 5) 2) 1/2) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (fma.f64 (sqrt.f64 2) (*.f64 (*.f64 -1/16 (pow.f64 (sin.f64 y) 2)) (-.f64 (cos.f64 x) (cos.f64 y))) 2) (*.f64 3 (fma.f64 (cos.f64 y) (*.f64 (/.f64 4 (+.f64 3 (sqrt.f64 5))) 1/2) (fma.f64 (cos.f64 x) (-.f64 (/.f64 (sqrt.f64 5) 2) 1/2) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 (sqrt.f64 2) (*.f64 (*.f64 -1/16 (pow.f64 (sin.f64 y) 2)) (-.f64 (cos.f64 x) (cos.f64 y))) 2) (*.f64 3 (fma.f64 (cos.f64 y) (*.f64 (/.f64 4 (+.f64 3 (sqrt.f64 5))) 1/2) (fma.f64 (cos.f64 x) (-.f64 (/.f64 (sqrt.f64 5) 2) 1/2) 1))))) 2) (cbrt.f64 (/.f64 (fma.f64 (sqrt.f64 2) (*.f64 (*.f64 -1/16 (pow.f64 (sin.f64 y) 2)) (-.f64 (cos.f64 x) (cos.f64 y))) 2) (*.f64 3 (fma.f64 (cos.f64 y) (*.f64 (/.f64 4 (+.f64 3 (sqrt.f64 5))) 1/2) (fma.f64 (cos.f64 x) (-.f64 (/.f64 (sqrt.f64 5) 2) 1/2) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (fma.f64 (sqrt.f64 2) (*.f64 (*.f64 -1/16 (pow.f64 (sin.f64 y) 2)) (-.f64 (cos.f64 x) (cos.f64 y))) 2) (*.f64 3 (fma.f64 (cos.f64 y) (*.f64 (/.f64 4 (+.f64 3 (sqrt.f64 5))) 1/2) (fma.f64 (cos.f64 x) (-.f64 (/.f64 (sqrt.f64 5) 2) 1/2) 1))))) (sqrt.f64 (/.f64 (fma.f64 (sqrt.f64 2) (*.f64 (*.f64 -1/16 (pow.f64 (sin.f64 y) 2)) (-.f64 (cos.f64 x) (cos.f64 y))) 2) (*.f64 3 (fma.f64 (cos.f64 y) (*.f64 (/.f64 4 (+.f64 3 (sqrt.f64 5))) 1/2) (fma.f64 (cos.f64 x) (-.f64 (/.f64 (sqrt.f64 5) 2) 1/2) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (sqrt.f64 2) (*.f64 (*.f64 -1/16 (pow.f64 (sin.f64 y) 2)) (-.f64 (cos.f64 x) (cos.f64 y))) 2) (*.f64 3 (fma.f64 (cos.f64 y) (*.f64 (/.f64 4 (+.f64 3 (sqrt.f64 5))) 1/2) (fma.f64 (cos.f64 x) (-.f64 (/.f64 (sqrt.f64 5) 2) 1/2) 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (fma.f64 (sqrt.f64 2) (*.f64 (*.f64 -1/16 (pow.f64 (sin.f64 y) 2)) (-.f64 (cos.f64 x) (cos.f64 y))) 2) (*.f64 3 (fma.f64 (cos.f64 y) (*.f64 (/.f64 4 (+.f64 3 (sqrt.f64 5))) 1/2) (fma.f64 (cos.f64 x) (-.f64 (/.f64 (sqrt.f64 5) 2) 1/2) 1)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (fma.f64 (sqrt.f64 2) (*.f64 (*.f64 -1/16 (pow.f64 (sin.f64 y) 2)) (-.f64 (cos.f64 x) (cos.f64 y))) 2) (*.f64 3 (fma.f64 (cos.f64 y) (*.f64 (/.f64 4 (+.f64 3 (sqrt.f64 5))) 1/2) (fma.f64 (cos.f64 x) (-.f64 (/.f64 (sqrt.f64 5) 2) 1/2) 1))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (fma.f64 (sqrt.f64 2) (*.f64 (*.f64 -1/16 (pow.f64 (sin.f64 y) 2)) (-.f64 (cos.f64 x) (cos.f64 y))) 2) (*.f64 3 (fma.f64 (cos.f64 y) (*.f64 (/.f64 4 (+.f64 3 (sqrt.f64 5))) 1/2) (fma.f64 (cos.f64 x) (-.f64 (/.f64 (sqrt.f64 5) 2) 1/2) 1))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 3 (fma.f64 (cos.f64 y) (*.f64 (/.f64 4 (+.f64 3 (sqrt.f64 5))) 1/2) (fma.f64 (cos.f64 x) (-.f64 (/.f64 (sqrt.f64 5) 2) 1/2) 1))) (fma.f64 (sqrt.f64 2) (*.f64 (*.f64 -1/16 (pow.f64 (sin.f64 y) 2)) (-.f64 (cos.f64 x) (cos.f64 y))) 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (fma.f64 (sqrt.f64 2) (*.f64 (*.f64 -1/16 (pow.f64 (sin.f64 y) 2)) (-.f64 (cos.f64 x) (cos.f64 y))) 2) (*.f64 3 (fma.f64 (cos.f64 y) (*.f64 (/.f64 4 (+.f64 3 (sqrt.f64 5))) 1/2) (fma.f64 (cos.f64 x) (-.f64 (/.f64 (sqrt.f64 5) 2) 1/2) 1)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (fma.f64 (sqrt.f64 2) (*.f64 (*.f64 -1/16 (pow.f64 (sin.f64 y) 2)) (-.f64 (cos.f64 x) (cos.f64 y))) 2) (*.f64 3 (fma.f64 (cos.f64 y) (*.f64 (/.f64 4 (+.f64 3 (sqrt.f64 5))) 1/2) (fma.f64 (cos.f64 x) (-.f64 (/.f64 (sqrt.f64 5) 2) 1/2) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 (sqrt.f64 2) (*.f64 (*.f64 -1/16 (pow.f64 (sin.f64 y) 2)) (-.f64 (cos.f64 x) (cos.f64 y))) 2) (*.f64 3 (fma.f64 (cos.f64 y) (*.f64 (/.f64 4 (+.f64 3 (sqrt.f64 5))) 1/2) (fma.f64 (cos.f64 x) (-.f64 (/.f64 (sqrt.f64 5) 2) 1/2) 1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (fma.f64 (sqrt.f64 2) (*.f64 (*.f64 -1/16 (pow.f64 (sin.f64 y) 2)) (-.f64 (cos.f64 x) (cos.f64 y))) 2) (*.f64 3 (fma.f64 (cos.f64 y) (*.f64 (/.f64 4 (+.f64 3 (sqrt.f64 5))) 1/2) (fma.f64 (cos.f64 x) (-.f64 (/.f64 (sqrt.f64 5) 2) 1/2) 1)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (fma.f64 (sqrt.f64 2) (*.f64 (*.f64 -1/16 (pow.f64 (sin.f64 y) 2)) (-.f64 (cos.f64 x) (cos.f64 y))) 2) 3) (pow.f64 (*.f64 3 (fma.f64 (cos.f64 y) (*.f64 (/.f64 4 (+.f64 3 (sqrt.f64 5))) 1/2) (fma.f64 (cos.f64 x) (-.f64 (/.f64 (sqrt.f64 5) 2) 1/2) 1))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (fma.f64 (sqrt.f64 2) (*.f64 (*.f64 -1/16 (pow.f64 (sin.f64 y) 2)) (-.f64 (cos.f64 x) (cos.f64 y))) 2) (*.f64 3 (fma.f64 (cos.f64 y) (*.f64 (/.f64 4 (+.f64 3 (sqrt.f64 5))) 1/2) (fma.f64 (cos.f64 x) (-.f64 (/.f64 (sqrt.f64 5) 2) 1/2) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (fma.f64 (sqrt.f64 2) (*.f64 (*.f64 -1/16 (pow.f64 (sin.f64 y) 2)) (-.f64 (cos.f64 x) (cos.f64 y))) 2) (*.f64 3 (fma.f64 (cos.f64 y) (*.f64 (/.f64 4 (+.f64 3 (sqrt.f64 5))) 1/2) (fma.f64 (cos.f64 x) (-.f64 (/.f64 (sqrt.f64 5) 2) 1/2) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (fma.f64 (sqrt.f64 2) (*.f64 (*.f64 -1/16 (pow.f64 (sin.f64 y) 2)) (-.f64 (cos.f64 x) (cos.f64 y))) 2) (*.f64 3 (fma.f64 (cos.f64 y) (*.f64 (/.f64 4 (+.f64 3 (sqrt.f64 5))) 1/2) (fma.f64 (cos.f64 x) (-.f64 (/.f64 (sqrt.f64 5) 2) 1/2) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 (sqrt.f64 2) (*.f64 (*.f64 -1/16 (pow.f64 (sin.f64 y) 2)) (-.f64 (cos.f64 x) (cos.f64 y))) 2) (*.f64 3 (fma.f64 (cos.f64 y) (*.f64 (/.f64 4 (+.f64 3 (sqrt.f64 5))) 1/2) (fma.f64 (cos.f64 x) (-.f64 (/.f64 (sqrt.f64 5) 2) 1/2) 1))))) 1))))))

simplify101.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

767×	`fma-def_binary64`
610×	`associate-l_binary64`
589×	`associate-r_binary64`
561×	`distribute-rgt-in_binary64`
550×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	179	4202
1	561	4135
2	1919	3903

Stop Event

1×	node limit

Counts

70 → 62

Calls

Call 1

Inputs
(.f64 -1/16 (.f64 (sqrt.f64 2) (pow.f64 y 2)))
(+.f64 (.f64 1/48 (.f64 (sqrt.f64 2) (pow.f64 y 4))) (.f64 -1/16 (.f64 (sqrt.f64 2) (pow.f64 y 2))))
(+.f64 (.f64 1/48 (.f64 (sqrt.f64 2) (pow.f64 y 4))) (+.f64 (.f64 -1/360 (.f64 (sqrt.f64 2) (pow.f64 y 6))) (.f64 -1/16 (.f64 (sqrt.f64 2) (pow.f64 y 2)))))
(+.f64 (.f64 1/48 (.f64 (sqrt.f64 2) (pow.f64 y 4))) (+.f64 (.f64 1/5040 (.f64 (sqrt.f64 2) (pow.f64 y 8))) (+.f64 (.f64 -1/360 (.f64 (sqrt.f64 2) (pow.f64 y 6))) (.f64 -1/16 (.f64 (sqrt.f64 2) (pow.f64 y 2))))))
(.f64 -1/16 (.f64 (sqrt.f64 2) (pow.f64 (sin.f64 y) 2)))
(.f64 -1/16 (.f64 (sqrt.f64 2) (pow.f64 (sin.f64 y) 2)))
(.f64 -1/16 (.f64 (sqrt.f64 2) (pow.f64 (sin.f64 y) 2)))
(.f64 -1/16 (.f64 (sqrt.f64 2) (pow.f64 (sin.f64 y) 2)))
(.f64 -1/16 (.f64 (sqrt.f64 2) (pow.f64 (sin.f64 y) 2)))
(.f64 -1/16 (.f64 (sqrt.f64 2) (pow.f64 (sin.f64 y) 2)))
(.f64 -1/16 (.f64 (sqrt.f64 2) (pow.f64 (sin.f64 y) 2)))
(.f64 -1/16 (.f64 (sqrt.f64 2) (pow.f64 (sin.f64 y) 2)))
(/.f64 2/3 (+.f64 1 (+.f64 (.f64 1/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))) (*.f64 2 (/.f64 1 (+.f64 (sqrt.f64 5) 3))))))
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(.f64 1/3 (/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (pow.f64 (sin.f64 y) 2))))) (+.f64 1 (+.f64 (.f64 1/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))) (*.f64 2 (/.f64 (cos.f64 y) (+.f64 (sqrt.f64 5) 3)))))))
(.f64 1/3 (/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (pow.f64 (sin.f64 y) 2))))) (+.f64 1 (+.f64 (.f64 1/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))) (*.f64 2 (/.f64 (cos.f64 y) (+.f64 (sqrt.f64 5) 3)))))))
(.f64 1/3 (/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (pow.f64 (sin.f64 y) 2))))) (+.f64 1 (+.f64 (.f64 1/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))) (*.f64 2 (/.f64 (cos.f64 y) (+.f64 (sqrt.f64 5) 3)))))))
(.f64 1/3 (/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (pow.f64 (sin.f64 y) 2))))) (+.f64 1 (+.f64 (.f64 1/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))) (*.f64 2 (/.f64 (cos.f64 y) (+.f64 (sqrt.f64 5) 3)))))))
(.f64 1/3 (/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (pow.f64 (sin.f64 y) 2))))) (+.f64 1 (+.f64 (.f64 1/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))) (*.f64 2 (/.f64 (cos.f64 y) (+.f64 (sqrt.f64 5) 3)))))))

Outputs
(.f64 -1/16 (.f64 (sqrt.f64 2) (pow.f64 y 2)))
(.f64 (.f64 -1/16 (sqrt.f64 2)) (*.f64 y y))
(.f64 (sqrt.f64 2) (.f64 (*.f64 y y) -1/16))
(.f64 (sqrt.f64 2) (.f64 -1/16 (*.f64 y y)))
(+.f64 (.f64 1/48 (.f64 (sqrt.f64 2) (pow.f64 y 4))) (.f64 -1/16 (.f64 (sqrt.f64 2) (pow.f64 y 2))))
(fma.f64 1/48 (.f64 (sqrt.f64 2) (pow.f64 y 4)) (.f64 (.f64 -1/16 (sqrt.f64 2)) (.f64 y y)))
(fma.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 y y)) (.f64 (pow.f64 y 4) (.f64 (sqrt.f64 2) 1/48)))
(.f64 (sqrt.f64 2) (+.f64 (.f64 -1/16 (.f64 y y)) (.f64 1/48 (pow.f64 y 4))))
(+.f64 (.f64 1/48 (.f64 (sqrt.f64 2) (pow.f64 y 4))) (+.f64 (.f64 -1/360 (.f64 (sqrt.f64 2) (pow.f64 y 6))) (.f64 -1/16 (.f64 (sqrt.f64 2) (pow.f64 y 2)))))
(fma.f64 1/48 (.f64 (sqrt.f64 2) (pow.f64 y 4)) (fma.f64 -1/360 (.f64 (sqrt.f64 2) (pow.f64 y 6)) (.f64 (.f64 -1/16 (sqrt.f64 2)) (*.f64 y y))))
(fma.f64 1/48 (.f64 (sqrt.f64 2) (pow.f64 y 4)) (fma.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 y y)) (.f64 (sqrt.f64 2) (*.f64 (pow.f64 y 6) -1/360))))
(fma.f64 (sqrt.f64 2) (.f64 (pow.f64 y 6) -1/360) (.f64 (sqrt.f64 2) (+.f64 (.f64 -1/16 (.f64 y y)) (*.f64 1/48 (pow.f64 y 4)))))
(+.f64 (.f64 1/48 (.f64 (sqrt.f64 2) (pow.f64 y 4))) (+.f64 (.f64 1/5040 (.f64 (sqrt.f64 2) (pow.f64 y 8))) (+.f64 (.f64 -1/360 (.f64 (sqrt.f64 2) (pow.f64 y 6))) (.f64 -1/16 (.f64 (sqrt.f64 2) (pow.f64 y 2))))))
(fma.f64 1/48 (.f64 (sqrt.f64 2) (pow.f64 y 4)) (fma.f64 1/5040 (.f64 (sqrt.f64 2) (pow.f64 y 8)) (fma.f64 -1/360 (.f64 (sqrt.f64 2) (pow.f64 y 6)) (.f64 (.f64 -1/16 (sqrt.f64 2)) (.f64 y y)))))
(fma.f64 1/48 (.f64 (sqrt.f64 2) (pow.f64 y 4)) (fma.f64 1/5040 (.f64 (sqrt.f64 2) (pow.f64 y 8)) (fma.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 y y)) (.f64 (sqrt.f64 2) (.f64 (pow.f64 y 6) -1/360)))))
(+.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 -1/16 (.f64 y y)) (.f64 -1/360 (pow.f64 y 6)))) (.f64 (sqrt.f64 2) (+.f64 (.f64 1/48 (pow.f64 y 4)) (*.f64 1/5040 (pow.f64 y 8)))))
(.f64 -1/16 (.f64 (sqrt.f64 2) (pow.f64 (sin.f64 y) 2)))
(.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 y) 2) -1/16))
(.f64 -1/16 (.f64 (sqrt.f64 2) (pow.f64 (sin.f64 y) 2)))
(.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 y) 2) -1/16))
(.f64 -1/16 (.f64 (sqrt.f64 2) (pow.f64 (sin.f64 y) 2)))
(.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 y) 2) -1/16))
(.f64 -1/16 (.f64 (sqrt.f64 2) (pow.f64 (sin.f64 y) 2)))
(.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 y) 2) -1/16))
(.f64 -1/16 (.f64 (sqrt.f64 2) (pow.f64 (sin.f64 y) 2)))
(.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 y) 2) -1/16))
(.f64 -1/16 (.f64 (sqrt.f64 2) (pow.f64 (sin.f64 y) 2)))
(.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 y) 2) -1/16))
(.f64 -1/16 (.f64 (sqrt.f64 2) (pow.f64 (sin.f64 y) 2)))
(.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 y) 2) -1/16))
(.f64 -1/16 (.f64 (sqrt.f64 2) (pow.f64 (sin.f64 y) 2)))
(.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 y) 2) -1/16))
(/.f64 2/3 (+.f64 1 (+.f64 (.f64 1/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))) (*.f64 2 (/.f64 1 (+.f64 (sqrt.f64 5) 3))))))
(/.f64 2/3 (+.f64 1 (fma.f64 1/2 (*.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)) (/.f64 2 (+.f64 (sqrt.f64 5) 3)))))
(/.f64 2/3 (+.f64 1 (fma.f64 (+.f64 (*.f64 (sqrt.f64 5) 1/2) -1/2) (cos.f64 x) (/.f64 2 (+.f64 (sqrt.f64 5) 3)))))
(/.f64 2/3 (+.f64 1 (fma.f64 (cos.f64 x) (fma.f64 1/2 (sqrt.f64 5) -1/2) (/.f64 2 (+.f64 (sqrt.f64 5) 3)))))
(+.f64 (.f64 1/3 (.f64 (pow.f64 y 2) (+.f64 (.f64 -1/16 (/.f64 (.f64 (sqrt.f64 2) (-.f64 (cos.f64 x) 1)) (+.f64 1 (+.f64 (.f64 1/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))) (.f64 2 (/.f64 1 (+.f64 (sqrt.f64 5) 3))))))) (.f64 2 (/.f64 1 (.f64 (pow.f64 (+.f64 1 (+.f64 (.f64 1/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))) (.f64 2 (/.f64 1 (+.f64 (sqrt.f64 5) 3))))) 2) (+.f64 (sqrt.f64 5) 3))))))) (.f64 2/3 (/.f64 1 (+.f64 1 (+.f64 (.f64 1/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))) (.f64 2 (/.f64 1 (+.f64 (sqrt.f64 5) 3))))))))
(fma.f64 1/3 (.f64 (.f64 y y) (fma.f64 -1/16 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (cos.f64 x) -1)) (+.f64 1 (fma.f64 1/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)) (/.f64 2 (+.f64 (sqrt.f64 5) 3))))) (/.f64 2 (.f64 (+.f64 (sqrt.f64 5) 3) (pow.f64 (+.f64 1 (fma.f64 1/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)) (/.f64 2 (+.f64 (sqrt.f64 5) 3)))) 2))))) (/.f64 2/3 (+.f64 1 (fma.f64 1/2 (*.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)) (/.f64 2 (+.f64 (sqrt.f64 5) 3))))))
(fma.f64 (.f64 (.f64 y y) 1/3) (fma.f64 -1/16 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (cos.f64 x) -1)) (+.f64 1 (fma.f64 (+.f64 (.f64 (sqrt.f64 5) 1/2) -1/2) (cos.f64 x) (/.f64 2 (+.f64 (sqrt.f64 5) 3))))) (/.f64 2 (.f64 (+.f64 (sqrt.f64 5) 3) (pow.f64 (+.f64 1 (fma.f64 (+.f64 (.f64 (sqrt.f64 5) 1/2) -1/2) (cos.f64 x) (/.f64 2 (+.f64 (sqrt.f64 5) 3)))) 2)))) (/.f64 2/3 (+.f64 1 (fma.f64 (+.f64 (*.f64 (sqrt.f64 5) 1/2) -1/2) (cos.f64 x) (/.f64 2 (+.f64 (sqrt.f64 5) 3))))))
(fma.f64 (fma.f64 -1/16 (.f64 (/.f64 (sqrt.f64 2) (+.f64 1 (fma.f64 (cos.f64 x) (fma.f64 1/2 (sqrt.f64 5) -1/2) (/.f64 2 (+.f64 (sqrt.f64 5) 3))))) (+.f64 (cos.f64 x) -1)) (/.f64 2 (.f64 (+.f64 (sqrt.f64 5) 3) (pow.f64 (+.f64 1 (fma.f64 (cos.f64 x) (fma.f64 1/2 (sqrt.f64 5) -1/2) (/.f64 2 (+.f64 (sqrt.f64 5) 3)))) 2)))) (.f64 y (.f64 y 1/3)) (/.f64 2/3 (+.f64 1 (fma.f64 (cos.f64 x) (fma.f64 1/2 (sqrt.f64 5) -1/2) (/.f64 2 (+.f64 (sqrt.f64 5) 3))))))
(+.f64 (.f64 1/3 (.f64 (pow.f64 y 2) (+.f64 (.f64 -1/16 (/.f64 (.f64 (sqrt.f64 2) (-.f64 (cos.f64 x) 1)) (+.f64 1 (+.f64 (.f64 1/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))) (.f64 2 (/.f64 1 (+.f64 (sqrt.f64 5) 3))))))) (.f64 2 (/.f64 1 (.f64 (pow.f64 (+.f64 1 (+.f64 (.f64 1/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))) (.f64 2 (/.f64 1 (+.f64 (sqrt.f64 5) 3))))) 2) (+.f64 (sqrt.f64 5) 3))))))) (+.f64 (.f64 1/3 (.f64 (-.f64 (.f64 -1/16 (/.f64 (.f64 (sqrt.f64 2) (+.f64 1/2 (.f64 -1/3 (-.f64 (cos.f64 x) 1)))) (+.f64 1 (+.f64 (.f64 1/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))) (.f64 2 (/.f64 1 (+.f64 (sqrt.f64 5) 3))))))) (+.f64 (.f64 1/6 (/.f64 1 (.f64 (pow.f64 (+.f64 1 (+.f64 (.f64 1/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))) (.f64 2 (/.f64 1 (+.f64 (sqrt.f64 5) 3))))) 2) (+.f64 (sqrt.f64 5) 3)))) (.f64 -1 (/.f64 (+.f64 (.f64 -1/16 (/.f64 (.f64 (sqrt.f64 2) (-.f64 (cos.f64 x) 1)) (+.f64 1 (+.f64 (.f64 1/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))) (.f64 2 (/.f64 1 (+.f64 (sqrt.f64 5) 3))))))) (.f64 2 (/.f64 1 (.f64 (pow.f64 (+.f64 1 (+.f64 (.f64 1/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))) (.f64 2 (/.f64 1 (+.f64 (sqrt.f64 5) 3))))) 2) (+.f64 (sqrt.f64 5) 3))))) (.f64 (+.f64 1 (+.f64 (.f64 1/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))) (.f64 2 (/.f64 1 (+.f64 (sqrt.f64 5) 3))))) (+.f64 (sqrt.f64 5) 3)))))) (pow.f64 y 4))) (.f64 2/3 (/.f64 1 (+.f64 1 (+.f64 (.f64 1/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))) (.f64 2 (/.f64 1 (+.f64 (sqrt.f64 5) 3)))))))))
(fma.f64 1/3 (.f64 (.f64 y y) (fma.f64 -1/16 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (cos.f64 x) -1)) (+.f64 1 (fma.f64 1/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)) (/.f64 2 (+.f64 (sqrt.f64 5) 3))))) (/.f64 2 (.f64 (+.f64 (sqrt.f64 5) 3) (pow.f64 (+.f64 1 (fma.f64 1/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)) (/.f64 2 (+.f64 (sqrt.f64 5) 3)))) 2))))) (fma.f64 1/3 (.f64 (pow.f64 y 4) (-.f64 (.f64 -1/16 (/.f64 (.f64 (sqrt.f64 2) (+.f64 1/2 (.f64 (+.f64 (cos.f64 x) -1) -1/3))) (+.f64 1 (fma.f64 1/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)) (/.f64 2 (+.f64 (sqrt.f64 5) 3)))))) (+.f64 (/.f64 1/6 (.f64 (+.f64 (sqrt.f64 5) 3) (pow.f64 (+.f64 1 (fma.f64 1/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)) (/.f64 2 (+.f64 (sqrt.f64 5) 3)))) 2))) (neg.f64 (/.f64 (fma.f64 -1/16 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (cos.f64 x) -1)) (+.f64 1 (fma.f64 1/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)) (/.f64 2 (+.f64 (sqrt.f64 5) 3))))) (/.f64 2 (.f64 (+.f64 (sqrt.f64 5) 3) (pow.f64 (+.f64 1 (fma.f64 1/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)) (/.f64 2 (+.f64 (sqrt.f64 5) 3)))) 2)))) (.f64 (+.f64 (sqrt.f64 5) 3) (+.f64 1 (fma.f64 1/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)) (/.f64 2 (+.f64 (sqrt.f64 5) 3)))))))))) (/.f64 2/3 (+.f64 1 (fma.f64 1/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)) (/.f64 2 (+.f64 (sqrt.f64 5) 3)))))))
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(.f64 1/3 (/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 y) 2) (-.f64 (cos.f64 x) (cos.f64 y)))))) (+.f64 1 (fma.f64 1/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)) (.f64 2 (/.f64 (cos.f64 y) (+.f64 (sqrt.f64 5) 3)))))))
(/.f64 (.f64 1/3 (fma.f64 -1/16 (.f64 (.f64 (sqrt.f64 2) (pow.f64 (sin.f64 y) 2)) (-.f64 (cos.f64 x) (cos.f64 y))) 2)) (+.f64 1 (fma.f64 2 (/.f64 (cos.f64 y) (+.f64 (sqrt.f64 5) 3)) (.f64 (+.f64 (sqrt.f64 5) -1) (*.f64 (cos.f64 x) 1/2)))))
(/.f64 (+.f64 2/3 (.f64 (.f64 (sqrt.f64 2) (*.f64 (pow.f64 (sin.f64 y) 2) (-.f64 (cos.f64 x) (cos.f64 y)))) -1/48)) (fma.f64 2 (/.f64 (cos.f64 y) (+.f64 (sqrt.f64 5) 3)) (fma.f64 (cos.f64 x) (fma.f64 1/2 (sqrt.f64 5) -1/2) 1)))
(.f64 1/3 (/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (pow.f64 (sin.f64 y) 2))))) (+.f64 1 (+.f64 (.f64 1/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))) (*.f64 2 (/.f64 (cos.f64 y) (+.f64 (sqrt.f64 5) 3)))))))
(.f64 1/3 (/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 y) 2) (-.f64 (cos.f64 x) (cos.f64 y)))))) (+.f64 1 (fma.f64 1/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)) (.f64 2 (/.f64 (cos.f64 y) (+.f64 (sqrt.f64 5) 3)))))))
(/.f64 (.f64 1/3 (fma.f64 -1/16 (.f64 (.f64 (sqrt.f64 2) (pow.f64 (sin.f64 y) 2)) (-.f64 (cos.f64 x) (cos.f64 y))) 2)) (+.f64 1 (fma.f64 2 (/.f64 (cos.f64 y) (+.f64 (sqrt.f64 5) 3)) (.f64 (+.f64 (sqrt.f64 5) -1) (*.f64 (cos.f64 x) 1/2)))))
(/.f64 (+.f64 2/3 (.f64 (.f64 (sqrt.f64 2) (*.f64 (pow.f64 (sin.f64 y) 2) (-.f64 (cos.f64 x) (cos.f64 y)))) -1/48)) (fma.f64 2 (/.f64 (cos.f64 y) (+.f64 (sqrt.f64 5) 3)) (fma.f64 (cos.f64 x) (fma.f64 1/2 (sqrt.f64 5) -1/2) 1)))
(.f64 1/3 (/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (pow.f64 (sin.f64 y) 2))))) (+.f64 1 (+.f64 (.f64 1/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))) (*.f64 2 (/.f64 (cos.f64 y) (+.f64 (sqrt.f64 5) 3)))))))
(.f64 1/3 (/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 y) 2) (-.f64 (cos.f64 x) (cos.f64 y)))))) (+.f64 1 (fma.f64 1/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)) (.f64 2 (/.f64 (cos.f64 y) (+.f64 (sqrt.f64 5) 3)))))))
(/.f64 (.f64 1/3 (fma.f64 -1/16 (.f64 (.f64 (sqrt.f64 2) (pow.f64 (sin.f64 y) 2)) (-.f64 (cos.f64 x) (cos.f64 y))) 2)) (+.f64 1 (fma.f64 2 (/.f64 (cos.f64 y) (+.f64 (sqrt.f64 5) 3)) (.f64 (+.f64 (sqrt.f64 5) -1) (*.f64 (cos.f64 x) 1/2)))))
(/.f64 (+.f64 2/3 (.f64 (.f64 (sqrt.f64 2) (*.f64 (pow.f64 (sin.f64 y) 2) (-.f64 (cos.f64 x) (cos.f64 y)))) -1/48)) (fma.f64 2 (/.f64 (cos.f64 y) (+.f64 (sqrt.f64 5) 3)) (fma.f64 (cos.f64 x) (fma.f64 1/2 (sqrt.f64 5) -1/2) 1)))
(.f64 1/3 (/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (pow.f64 (sin.f64 y) 2))))) (+.f64 1 (+.f64 (.f64 1/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))) (*.f64 2 (/.f64 (cos.f64 y) (+.f64 (sqrt.f64 5) 3)))))))
(.f64 1/3 (/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 y) 2) (-.f64 (cos.f64 x) (cos.f64 y)))))) (+.f64 1 (fma.f64 1/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)) (.f64 2 (/.f64 (cos.f64 y) (+.f64 (sqrt.f64 5) 3)))))))
(/.f64 (.f64 1/3 (fma.f64 -1/16 (.f64 (.f64 (sqrt.f64 2) (pow.f64 (sin.f64 y) 2)) (-.f64 (cos.f64 x) (cos.f64 y))) 2)) (+.f64 1 (fma.f64 2 (/.f64 (cos.f64 y) (+.f64 (sqrt.f64 5) 3)) (.f64 (+.f64 (sqrt.f64 5) -1) (*.f64 (cos.f64 x) 1/2)))))
(/.f64 (+.f64 2/3 (.f64 (.f64 (sqrt.f64 2) (*.f64 (pow.f64 (sin.f64 y) 2) (-.f64 (cos.f64 x) (cos.f64 y)))) -1/48)) (fma.f64 2 (/.f64 (cos.f64 y) (+.f64 (sqrt.f64 5) 3)) (fma.f64 (cos.f64 x) (fma.f64 1/2 (sqrt.f64 5) -1/2) 1)))
(.f64 1/3 (/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (pow.f64 (sin.f64 y) 2))))) (+.f64 1 (+.f64 (.f64 1/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))) (*.f64 2 (/.f64 (cos.f64 y) (+.f64 (sqrt.f64 5) 3)))))))
(.f64 1/3 (/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 y) 2) (-.f64 (cos.f64 x) (cos.f64 y)))))) (+.f64 1 (fma.f64 1/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)) (.f64 2 (/.f64 (cos.f64 y) (+.f64 (sqrt.f64 5) 3)))))))
(/.f64 (.f64 1/3 (fma.f64 -1/16 (.f64 (.f64 (sqrt.f64 2) (pow.f64 (sin.f64 y) 2)) (-.f64 (cos.f64 x) (cos.f64 y))) 2)) (+.f64 1 (fma.f64 2 (/.f64 (cos.f64 y) (+.f64 (sqrt.f64 5) 3)) (.f64 (+.f64 (sqrt.f64 5) -1) (*.f64 (cos.f64 x) 1/2)))))
(/.f64 (+.f64 2/3 (.f64 (.f64 (sqrt.f64 2) (*.f64 (pow.f64 (sin.f64 y) 2) (-.f64 (cos.f64 x) (cos.f64 y)))) -1/48)) (fma.f64 2 (/.f64 (cos.f64 y) (+.f64 (sqrt.f64 5) 3)) (fma.f64 (cos.f64 x) (fma.f64 1/2 (sqrt.f64 5) -1/2) 1)))
(.f64 1/3 (/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (pow.f64 (sin.f64 y) 2))))) (+.f64 1 (+.f64 (.f64 1/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))) (*.f64 2 (/.f64 (cos.f64 y) (+.f64 (sqrt.f64 5) 3)))))))
(.f64 1/3 (/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 y) 2) (-.f64 (cos.f64 x) (cos.f64 y)))))) (+.f64 1 (fma.f64 1/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)) (.f64 2 (/.f64 (cos.f64 y) (+.f64 (sqrt.f64 5) 3)))))))
(/.f64 (.f64 1/3 (fma.f64 -1/16 (.f64 (.f64 (sqrt.f64 2) (pow.f64 (sin.f64 y) 2)) (-.f64 (cos.f64 x) (cos.f64 y))) 2)) (+.f64 1 (fma.f64 2 (/.f64 (cos.f64 y) (+.f64 (sqrt.f64 5) 3)) (.f64 (+.f64 (sqrt.f64 5) -1) (*.f64 (cos.f64 x) 1/2)))))
(/.f64 (+.f64 2/3 (.f64 (.f64 (sqrt.f64 2) (*.f64 (pow.f64 (sin.f64 y) 2) (-.f64 (cos.f64 x) (cos.f64 y)))) -1/48)) (fma.f64 2 (/.f64 (cos.f64 y) (+.f64 (sqrt.f64 5) 3)) (fma.f64 (cos.f64 x) (fma.f64 1/2 (sqrt.f64 5) -1/2) 1)))

localize104.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(.f64 (.f64 (sqrt.f64 2) (+.f64 (sin.f64 x) (*.f64 y -1/16))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16)))
✓	0.4b	(.f64 (sqrt.f64 2) (+.f64 (sin.f64 x) (.f64 y -1/16)))
	1.0b	(-.f64 3 (sqrt.f64 5))
	1.4b	(-.f64 (cos.f64 x) (cos.f64 y))

Compiler

Compiled 263 to 179 computations (31.9% saved)

series9.0ms (0%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	y	@	inf	(.f64 (sqrt.f64 2) (+.f64 (sin.f64 x) (.f64 y -1/16)))
1.0ms	y	@	inf	(.f64 (.f64 (sqrt.f64 2) (+.f64 (sin.f64 x) (*.f64 y -1/16))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16)))
1.0ms	x	@	inf	(.f64 (.f64 (sqrt.f64 2) (+.f64 (sin.f64 x) (*.f64 y -1/16))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16)))
1.0ms	x	@	-inf	(.f64 (.f64 (sqrt.f64 2) (+.f64 (sin.f64 x) (*.f64 y -1/16))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16)))
1.0ms	y	@	-inf	(.f64 (.f64 (sqrt.f64 2) (+.f64 (sin.f64 x) (*.f64 y -1/16))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16)))

rewrite89.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

793×	`log-prod_binary64`
484×	`fma-def_binary64`
294×	`expm1-udef_binary64`
294×	`log1p-udef_binary64`
233×	`log-pow_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	15	41
1	337	37
2	4600	35

Stop Event

1×	node limit

Counts

2 → 93

Calls

Call 1

Inputs
(.f64 (sqrt.f64 2) (+.f64 (sin.f64 x) (.f64 y -1/16)))
(.f64 (.f64 (sqrt.f64 2) (+.f64 (sin.f64 x) (*.f64 y -1/16))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 2) (sin.f64 x)) (*.f64 (*.f64 (sqrt.f64 2) y) -1/16))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (sqrt.f64 2) y) -1/16) (*.f64 (sqrt.f64 2) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (sqrt.f64 2) (fma.f64 y -1/16 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (sqrt.f64 2) (sin.f64 x)) 1) (*.f64 (*.f64 (*.f64 (sqrt.f64 2) y) -1/16) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 2)) (fma.f64 y -1/16 (sin.f64 x)))) (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 2)) (fma.f64 y -1/16 (sin.f64 x)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 2)) (fma.f64 y -1/16 (sin.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 2)) (fma.f64 y -1/16 (sin.f64 x))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 2)) (fma.f64 y -1/16 (sin.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 2) (fma.f64 y -1/16 (sin.f64 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (sqrt.f64 2) (sin.f64 x)) 3) (pow.f64 (*.f64 (*.f64 (sqrt.f64 2) y) -1/16) 3)) (fma.f64 (*.f64 (sqrt.f64 2) (sin.f64 x)) (*.f64 (sqrt.f64 2) (sin.f64 x)) (-.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 2) y) -1/16) (*.f64 (*.f64 (sqrt.f64 2) y) -1/16)) (*.f64 (*.f64 (sqrt.f64 2) (sin.f64 x)) (*.f64 (*.f64 (sqrt.f64 2) y) -1/16)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 2) (sin.f64 x)) (*.f64 (sqrt.f64 2) (sin.f64 x))) (*.f64 (*.f64 (*.f64 (sqrt.f64 2) y) -1/16) (*.f64 (*.f64 (sqrt.f64 2) y) -1/16))) (-.f64 (*.f64 (sqrt.f64 2) (sin.f64 x)) (*.f64 (*.f64 (sqrt.f64 2) y) -1/16)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 (pow.f64 y 3) -1/4096 (pow.f64 (sin.f64 x) 3)) (sqrt.f64 2)) (fma.f64 (*.f64 y -1/16) (-.f64 (*.f64 y -1/16) (sin.f64 x)) (pow.f64 (sin.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (*.f64 y y) 1/256)) (sqrt.f64 2)) (+.f64 (sin.f64 x) (*.f64 1/16 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 2) (fma.f64 (pow.f64 y 3) -1/4096 (pow.f64 (sin.f64 x) 3))) (fma.f64 (*.f64 y -1/16) (-.f64 (*.f64 y -1/16) (sin.f64 x)) (pow.f64 (sin.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 2) (-.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (*.f64 y y) 1/256))) (+.f64 (sin.f64 x) (*.f64 1/16 y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 2) (fma.f64 y -1/16 (sin.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sqrt.f64 2) (fma.f64 y -1/16 (sin.f64 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 2) (fma.f64 y -1/16 (sin.f64 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 2) (fma.f64 y -1/16 (sin.f64 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 2 (pow.f64 (fma.f64 y -1/16 (sin.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (sqrt.f64 2)) (fma.f64 y -1/16 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (sqrt.f64 2) (fma.f64 y -1/16 (sin.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (*.f64 (*.f64 (sqrt.f64 2) y) -1/16)) (exp.f64 (*.f64 (sqrt.f64 2) (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 2) (fma.f64 y -1/16 (sin.f64 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (*.f64 2 (sqrt.f64 2)) (pow.f64 (fma.f64 y -1/16 (sin.f64 x)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (fma.f64 y -1/16 (sin.f64 x)) 3) (*.f64 2 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 2) (fma.f64 y -1/16 (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 2) (fma.f64 y -1/16 (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sqrt.f64 2) (fma.f64 y -1/16 (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 2) (fma.f64 y -1/16 (sin.f64 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 2) (sin.f64 x) (*.f64 (*.f64 (sqrt.f64 2) y) -1/16))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 2) (*.f64 y -1/16) (*.f64 (sqrt.f64 2) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sin.f64 x) (sqrt.f64 2) (*.f64 (*.f64 (sqrt.f64 2) y) -1/16))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y (*.f64 -1/16 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1/16 (*.f64 y (sqrt.f64 2)) (*.f64 (sqrt.f64 2) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y -1/16) (sqrt.f64 2) (*.f64 (sqrt.f64 2) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 (sqrt.f64 2) (sin.f64 x)) (*.f64 (*.f64 (sqrt.f64 2) y) -1/16))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 (*.f64 (sqrt.f64 2) y) -1/16) (*.f64 (sqrt.f64 2) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 2) (*.f64 (cbrt.f64 (sqrt.f64 2)) (sin.f64 x)) (*.f64 (*.f64 (sqrt.f64 2) y) -1/16))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 2) (*.f64 (cbrt.f64 (sqrt.f64 2)) (*.f64 y -1/16)) (*.f64 (sqrt.f64 2) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (*.f64 y y) 1/256)) (*.f64 (cbrt.f64 (*.f64 y -1/16)) (sqrt.f64 2)) (*.f64 (sqrt.f64 2) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 2)) (*.f64 (cbrt.f64 (sin.f64 x)) (sqrt.f64 2)) (*.f64 (*.f64 (sqrt.f64 2) y) -1/16))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 2 1/4) (*.f64 (pow.f64 2 1/4) (sin.f64 x)) (*.f64 (*.f64 (sqrt.f64 2) y) -1/16))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 2 1/4) (*.f64 (pow.f64 2 1/4) (*.f64 y -1/16)) (*.f64 (sqrt.f64 2) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 y -1/16)) (*.f64 (sqrt.f64 (*.f64 y -1/16)) (sqrt.f64 2)) (*.f64 (sqrt.f64 2) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (sin.f64 x)) (*.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 2)) (*.f64 (*.f64 (sqrt.f64 2) y) -1/16))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 2) (sin.f64 x)) 1 (*.f64 (*.f64 (*.f64 (sqrt.f64 2) y) -1/16) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (*.f64 (*.f64 (sqrt.f64 2) y) -1/16)) (cbrt.f64 (*.f64 (*.f64 (sqrt.f64 2) y) -1/16))) (cbrt.f64 (*.f64 (*.f64 (sqrt.f64 2) y) -1/16)) (*.f64 (sqrt.f64 2) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (*.f64 (sqrt.f64 2) (sin.f64 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simplify95.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

676×	`unsub-neg_binary64`
596×	`fma-def_binary64`
478×	`distribute-lft-out_binary64`
438×	`associate-+l+_binary64`
357×	`associate-l_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	82	1059
1	259	986
2	783	917
3	3192	887
4	6350	887

Stop Event

1×	node limit

Counts

141 → 125

Calls

Call 1

Inputs
(.f64 -1/16 (.f64 (sqrt.f64 2) y))
(+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) y)) (*.f64 (sqrt.f64 2) x))
(+.f64 (.f64 -1/6 (.f64 (sqrt.f64 2) (pow.f64 x 3))) (+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) y)) (*.f64 (sqrt.f64 2) x)))
(+.f64 (.f64 -1/6 (.f64 (sqrt.f64 2) (pow.f64 x 3))) (+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) y)) (+.f64 (.f64 (sqrt.f64 2) x) (.f64 1/120 (*.f64 (sqrt.f64 2) (pow.f64 x 5))))))
(.f64 (sqrt.f64 2) (+.f64 (sin.f64 x) (.f64 -1/16 y)))
(.f64 (sqrt.f64 2) (+.f64 (sin.f64 x) (.f64 -1/16 y)))
(.f64 (sqrt.f64 2) (+.f64 (sin.f64 x) (.f64 -1/16 y)))
(.f64 (sqrt.f64 2) (+.f64 (sin.f64 x) (.f64 -1/16 y)))
(.f64 (sqrt.f64 2) (+.f64 (sin.f64 x) (.f64 -1/16 y)))
(.f64 (sqrt.f64 2) (+.f64 (sin.f64 x) (.f64 -1/16 y)))
(.f64 (sqrt.f64 2) (+.f64 (sin.f64 x) (.f64 -1/16 y)))
(.f64 (sqrt.f64 2) (+.f64 (sin.f64 x) (.f64 -1/16 y)))
(*.f64 (sqrt.f64 2) (sin.f64 x))
(+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) y)) (*.f64 (sqrt.f64 2) (sin.f64 x)))
(+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) y)) (*.f64 (sqrt.f64 2) (sin.f64 x)))
(+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) y)) (*.f64 (sqrt.f64 2) (sin.f64 x)))
(.f64 -1/16 (.f64 (sqrt.f64 2) y))
(+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) y)) (*.f64 (sqrt.f64 2) (sin.f64 x)))
(+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) y)) (*.f64 (sqrt.f64 2) (sin.f64 x)))
(+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) y)) (*.f64 (sqrt.f64 2) (sin.f64 x)))
(.f64 -1/16 (.f64 (sqrt.f64 2) y))
(+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) y)) (*.f64 (sqrt.f64 2) (sin.f64 x)))
(+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) y)) (*.f64 (sqrt.f64 2) (sin.f64 x)))
(+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) y)) (*.f64 (sqrt.f64 2) (sin.f64 x)))
(.f64 -1/16 (.f64 (sqrt.f64 2) (*.f64 y (sin.f64 y))))
(+.f64 (.f64 (sqrt.f64 2) (.f64 x (+.f64 (.f64 1/256 y) (sin.f64 y)))) (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 y (sin.f64 y)))))
(+.f64 (.f64 (sqrt.f64 2) (.f64 x (+.f64 (.f64 1/256 y) (sin.f64 y)))) (+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) (pow.f64 x 2))) (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 y (sin.f64 y))))))
(+.f64 (.f64 (sqrt.f64 2) (.f64 x (+.f64 (.f64 1/256 y) (sin.f64 y)))) (+.f64 (.f64 (sqrt.f64 2) (.f64 (+.f64 (.f64 -1/1536 y) (.f64 -1/6 (sin.f64 y))) (pow.f64 x 3))) (+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) (pow.f64 x 2))) (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 y (sin.f64 y)))))))
(.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x))) (+.f64 (sin.f64 x) (.f64 -1/16 y))))
(.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x))) (+.f64 (sin.f64 x) (.f64 -1/16 y))))
(.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x))) (+.f64 (sin.f64 x) (.f64 -1/16 y))))
(.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x))) (+.f64 (sin.f64 x) (.f64 -1/16 y))))
(.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x))) (+.f64 (sin.f64 x) (.f64 -1/16 y))))
(.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x))) (+.f64 (sin.f64 x) (.f64 -1/16 y))))
(.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x))) (+.f64 (sin.f64 x) (.f64 -1/16 y))))
(.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x))) (+.f64 (sin.f64 x) (.f64 -1/16 y))))
(.f64 -1/16 (.f64 (sqrt.f64 2) (pow.f64 (sin.f64 x) 2)))
(+.f64 (.f64 (sqrt.f64 2) (.f64 y (+.f64 (.f64 1/256 (sin.f64 x)) (sin.f64 x)))) (.f64 -1/16 (*.f64 (sqrt.f64 2) (pow.f64 (sin.f64 x) 2))))
(+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) (pow.f64 y 2))) (+.f64 (.f64 (sqrt.f64 2) (.f64 y (+.f64 (.f64 1/256 (sin.f64 x)) (sin.f64 x)))) (.f64 -1/16 (*.f64 (sqrt.f64 2) (pow.f64 (sin.f64 x) 2)))))
(+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) (pow.f64 y 2))) (+.f64 (.f64 -1/6 (.f64 (sqrt.f64 2) (.f64 (pow.f64 y 3) (sin.f64 x)))) (+.f64 (.f64 (sqrt.f64 2) (.f64 y (+.f64 (.f64 1/256 (sin.f64 x)) (sin.f64 x)))) (.f64 -1/16 (.f64 (sqrt.f64 2) (pow.f64 (sin.f64 x) 2))))))
(.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x))) y)))
(+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x))) y))) (.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 y) (*.f64 1/16 (sin.f64 x))) (sin.f64 x))))
(+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x))) y))) (.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 y) (*.f64 1/16 (sin.f64 x))) (sin.f64 x))))
(+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x))) y))) (.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 y) (*.f64 1/16 (sin.f64 x))) (sin.f64 x))))
(.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x))) y)))
(+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x))) y))) (.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 y) (*.f64 1/16 (sin.f64 x))) (sin.f64 x))))
(+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x))) y))) (.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 y) (*.f64 1/16 (sin.f64 x))) (sin.f64 x))))
(+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x))) y))) (.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 y) (*.f64 1/16 (sin.f64 x))) (sin.f64 x))))

Outputs
(.f64 -1/16 (.f64 (sqrt.f64 2) y))
(+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) y)) (*.f64 (sqrt.f64 2) x))
(fma.f64 -1/16 (.f64 (sqrt.f64 2) y) (.f64 (sqrt.f64 2) x))
(.f64 (sqrt.f64 2) (+.f64 (.f64 -1/16 y) x))
(.f64 (sqrt.f64 2) (+.f64 x (.f64 -1/16 y)))
(+.f64 (.f64 -1/6 (.f64 (sqrt.f64 2) (pow.f64 x 3))) (+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) y)) (*.f64 (sqrt.f64 2) x)))
(fma.f64 -1/6 (.f64 (sqrt.f64 2) (pow.f64 x 3)) (fma.f64 -1/16 (.f64 (sqrt.f64 2) y) (*.f64 (sqrt.f64 2) x)))
(fma.f64 -1/16 (.f64 (sqrt.f64 2) y) (.f64 (sqrt.f64 2) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)))
(.f64 (sqrt.f64 2) (+.f64 (.f64 -1/16 y) (+.f64 x (*.f64 -1/6 (pow.f64 x 3)))))
(+.f64 (.f64 -1/6 (.f64 (sqrt.f64 2) (pow.f64 x 3))) (+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) y)) (+.f64 (.f64 (sqrt.f64 2) x) (.f64 1/120 (*.f64 (sqrt.f64 2) (pow.f64 x 5))))))
(fma.f64 -1/6 (.f64 (sqrt.f64 2) (pow.f64 x 3)) (fma.f64 -1/16 (.f64 (sqrt.f64 2) y) (fma.f64 (sqrt.f64 2) x (.f64 (.f64 1/120 (sqrt.f64 2)) (pow.f64 x 5)))))
(fma.f64 -1/6 (.f64 (sqrt.f64 2) (pow.f64 x 3)) (fma.f64 -1/16 (.f64 (sqrt.f64 2) y) (fma.f64 (sqrt.f64 2) x (.f64 1/120 (.f64 (sqrt.f64 2) (pow.f64 x 5))))))
(+.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 -1/16 y) x)) (.f64 (sqrt.f64 2) (+.f64 (.f64 1/120 (pow.f64 x 5)) (*.f64 -1/6 (pow.f64 x 3)))))
(.f64 (sqrt.f64 2) (+.f64 (+.f64 x (.f64 -1/16 y)) (+.f64 (.f64 1/120 (pow.f64 x 5)) (.f64 -1/6 (pow.f64 x 3)))))
(.f64 (sqrt.f64 2) (+.f64 (sin.f64 x) (.f64 -1/16 y)))
(*.f64 (sqrt.f64 2) (fma.f64 -1/16 y (sin.f64 x)))
(.f64 (sqrt.f64 2) (+.f64 (sin.f64 x) (.f64 -1/16 y)))
(*.f64 (sqrt.f64 2) (fma.f64 -1/16 y (sin.f64 x)))
(.f64 (sqrt.f64 2) (+.f64 (sin.f64 x) (.f64 -1/16 y)))
(*.f64 (sqrt.f64 2) (fma.f64 -1/16 y (sin.f64 x)))
(.f64 (sqrt.f64 2) (+.f64 (sin.f64 x) (.f64 -1/16 y)))
(*.f64 (sqrt.f64 2) (fma.f64 -1/16 y (sin.f64 x)))
(.f64 (sqrt.f64 2) (+.f64 (sin.f64 x) (.f64 -1/16 y)))
(*.f64 (sqrt.f64 2) (fma.f64 -1/16 y (sin.f64 x)))
(.f64 (sqrt.f64 2) (+.f64 (sin.f64 x) (.f64 -1/16 y)))
(*.f64 (sqrt.f64 2) (fma.f64 -1/16 y (sin.f64 x)))
(.f64 (sqrt.f64 2) (+.f64 (sin.f64 x) (.f64 -1/16 y)))
(*.f64 (sqrt.f64 2) (fma.f64 -1/16 y (sin.f64 x)))
(.f64 (sqrt.f64 2) (+.f64 (sin.f64 x) (.f64 -1/16 y)))
(*.f64 (sqrt.f64 2) (fma.f64 -1/16 y (sin.f64 x)))
(*.f64 (sqrt.f64 2) (sin.f64 x))
(+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) y)) (*.f64 (sqrt.f64 2) (sin.f64 x)))
(.f64 (sqrt.f64 2) (+.f64 (sin.f64 x) (.f64 -1/16 y)))
(*.f64 (sqrt.f64 2) (fma.f64 -1/16 y (sin.f64 x)))
(+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) y)) (*.f64 (sqrt.f64 2) (sin.f64 x)))
(.f64 (sqrt.f64 2) (+.f64 (sin.f64 x) (.f64 -1/16 y)))
(*.f64 (sqrt.f64 2) (fma.f64 -1/16 y (sin.f64 x)))
(+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) y)) (*.f64 (sqrt.f64 2) (sin.f64 x)))
(.f64 (sqrt.f64 2) (+.f64 (sin.f64 x) (.f64 -1/16 y)))
(*.f64 (sqrt.f64 2) (fma.f64 -1/16 y (sin.f64 x)))
(.f64 -1/16 (.f64 (sqrt.f64 2) y))
(+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) y)) (*.f64 (sqrt.f64 2) (sin.f64 x)))
(.f64 (sqrt.f64 2) (+.f64 (sin.f64 x) (.f64 -1/16 y)))
(*.f64 (sqrt.f64 2) (fma.f64 -1/16 y (sin.f64 x)))
(+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) y)) (*.f64 (sqrt.f64 2) (sin.f64 x)))
(.f64 (sqrt.f64 2) (+.f64 (sin.f64 x) (.f64 -1/16 y)))
(*.f64 (sqrt.f64 2) (fma.f64 -1/16 y (sin.f64 x)))
(+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) y)) (*.f64 (sqrt.f64 2) (sin.f64 x)))
(.f64 (sqrt.f64 2) (+.f64 (sin.f64 x) (.f64 -1/16 y)))
(*.f64 (sqrt.f64 2) (fma.f64 -1/16 y (sin.f64 x)))
(.f64 -1/16 (.f64 (sqrt.f64 2) y))
(+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) y)) (*.f64 (sqrt.f64 2) (sin.f64 x)))
(.f64 (sqrt.f64 2) (+.f64 (sin.f64 x) (.f64 -1/16 y)))
(*.f64 (sqrt.f64 2) (fma.f64 -1/16 y (sin.f64 x)))
(+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) y)) (*.f64 (sqrt.f64 2) (sin.f64 x)))
(.f64 (sqrt.f64 2) (+.f64 (sin.f64 x) (.f64 -1/16 y)))
(*.f64 (sqrt.f64 2) (fma.f64 -1/16 y (sin.f64 x)))
(+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) y)) (*.f64 (sqrt.f64 2) (sin.f64 x)))
(.f64 (sqrt.f64 2) (+.f64 (sin.f64 x) (.f64 -1/16 y)))
(*.f64 (sqrt.f64 2) (fma.f64 -1/16 y (sin.f64 x)))
(.f64 -1/16 (.f64 (sqrt.f64 2) (*.f64 y (sin.f64 y))))
(.f64 (sqrt.f64 2) (.f64 -1/16 (*.f64 y (sin.f64 y))))
(+.f64 (.f64 (sqrt.f64 2) (.f64 x (+.f64 (.f64 1/256 y) (sin.f64 y)))) (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 y (sin.f64 y)))))
(fma.f64 (sqrt.f64 2) (.f64 x (fma.f64 1/256 y (sin.f64 y))) (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 y (sin.f64 y)))))
(fma.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 y (sin.f64 y))) (.f64 (sqrt.f64 2) (.f64 x (fma.f64 y 1/256 (sin.f64 y)))))
(.f64 (sqrt.f64 2) (+.f64 (.f64 -1/16 (.f64 y (sin.f64 y))) (.f64 x (fma.f64 y 1/256 (sin.f64 y)))))
(.f64 (sqrt.f64 2) (+.f64 (.f64 x (fma.f64 y 1/256 (sin.f64 y))) (.f64 -1/16 (.f64 y (sin.f64 y)))))
(+.f64 (.f64 (sqrt.f64 2) (.f64 x (+.f64 (.f64 1/256 y) (sin.f64 y)))) (+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) (pow.f64 x 2))) (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 y (sin.f64 y))))))
(fma.f64 (sqrt.f64 2) (.f64 x (fma.f64 1/256 y (sin.f64 y))) (.f64 -1/16 (+.f64 (.f64 (sqrt.f64 2) (.f64 x x)) (.f64 (sqrt.f64 2) (.f64 y (sin.f64 y))))))
(fma.f64 (sqrt.f64 2) (.f64 x (fma.f64 y 1/256 (sin.f64 y))) (.f64 (.f64 -1/16 (sqrt.f64 2)) (+.f64 (.f64 x x) (*.f64 y (sin.f64 y)))))
(fma.f64 (sqrt.f64 2) (.f64 x (fma.f64 y 1/256 (sin.f64 y))) (.f64 (sqrt.f64 2) (.f64 (fma.f64 y (sin.f64 y) (.f64 x x)) -1/16)))
(.f64 (sqrt.f64 2) (+.f64 (.f64 -1/16 (fma.f64 y (sin.f64 y) (.f64 x x))) (.f64 x (fma.f64 y 1/256 (sin.f64 y)))))
(+.f64 (.f64 (sqrt.f64 2) (.f64 x (+.f64 (.f64 1/256 y) (sin.f64 y)))) (+.f64 (.f64 (sqrt.f64 2) (.f64 (+.f64 (.f64 -1/1536 y) (.f64 -1/6 (sin.f64 y))) (pow.f64 x 3))) (+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) (pow.f64 x 2))) (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 y (sin.f64 y)))))))
(fma.f64 (sqrt.f64 2) (.f64 x (fma.f64 1/256 y (sin.f64 y))) (fma.f64 (sqrt.f64 2) (.f64 (pow.f64 x 3) (fma.f64 -1/1536 y (.f64 -1/6 (sin.f64 y)))) (.f64 -1/16 (+.f64 (.f64 (sqrt.f64 2) (.f64 x x)) (.f64 (sqrt.f64 2) (.f64 y (sin.f64 y)))))))
(+.f64 (.f64 (.f64 -1/16 (sqrt.f64 2)) (+.f64 (.f64 x x) (.f64 y (sin.f64 y)))) (.f64 (sqrt.f64 2) (+.f64 (.f64 x (fma.f64 y 1/256 (sin.f64 y))) (.f64 (pow.f64 x 3) (fma.f64 -1/6 (sin.f64 y) (.f64 y -1/1536))))))
(fma.f64 (sqrt.f64 2) (fma.f64 x (fma.f64 y 1/256 (sin.f64 y)) (.f64 (pow.f64 x 3) (fma.f64 y -1/1536 (.f64 -1/6 (sin.f64 y))))) (.f64 (sqrt.f64 2) (.f64 (fma.f64 y (sin.f64 y) (*.f64 x x)) -1/16)))
(.f64 (sqrt.f64 2) (+.f64 (.f64 -1/16 (fma.f64 y (sin.f64 y) (.f64 x x))) (fma.f64 x (fma.f64 y 1/256 (sin.f64 y)) (.f64 (pow.f64 x 3) (fma.f64 y -1/1536 (*.f64 -1/6 (sin.f64 y)))))))
(.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x))) (+.f64 (sin.f64 x) (.f64 -1/16 y))))
(.f64 (sqrt.f64 2) (.f64 (+.f64 (sin.f64 x) (.f64 -1/16 y)) (+.f64 (sin.f64 y) (.f64 -1/16 (sin.f64 x)))))
(.f64 (sqrt.f64 2) (.f64 (fma.f64 -1/16 y (sin.f64 x)) (+.f64 (sin.f64 y) (*.f64 -1/16 (sin.f64 x)))))
(.f64 (sqrt.f64 2) (.f64 (fma.f64 -1/16 y (sin.f64 x)) (fma.f64 -1/16 (sin.f64 x) (sin.f64 y))))
(.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x))) (+.f64 (sin.f64 x) (.f64 -1/16 y))))
(.f64 (sqrt.f64 2) (.f64 (+.f64 (sin.f64 x) (.f64 -1/16 y)) (+.f64 (sin.f64 y) (.f64 -1/16 (sin.f64 x)))))
(.f64 (sqrt.f64 2) (.f64 (fma.f64 -1/16 y (sin.f64 x)) (+.f64 (sin.f64 y) (*.f64 -1/16 (sin.f64 x)))))
(.f64 (sqrt.f64 2) (.f64 (fma.f64 -1/16 y (sin.f64 x)) (fma.f64 -1/16 (sin.f64 x) (sin.f64 y))))
(.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x))) (+.f64 (sin.f64 x) (.f64 -1/16 y))))
(.f64 (sqrt.f64 2) (.f64 (+.f64 (sin.f64 x) (.f64 -1/16 y)) (+.f64 (sin.f64 y) (.f64 -1/16 (sin.f64 x)))))
(.f64 (sqrt.f64 2) (.f64 (fma.f64 -1/16 y (sin.f64 x)) (+.f64 (sin.f64 y) (*.f64 -1/16 (sin.f64 x)))))
(.f64 (sqrt.f64 2) (.f64 (fma.f64 -1/16 y (sin.f64 x)) (fma.f64 -1/16 (sin.f64 x) (sin.f64 y))))
(.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x))) (+.f64 (sin.f64 x) (.f64 -1/16 y))))
(.f64 (sqrt.f64 2) (.f64 (+.f64 (sin.f64 x) (.f64 -1/16 y)) (+.f64 (sin.f64 y) (.f64 -1/16 (sin.f64 x)))))
(.f64 (sqrt.f64 2) (.f64 (fma.f64 -1/16 y (sin.f64 x)) (+.f64 (sin.f64 y) (*.f64 -1/16 (sin.f64 x)))))
(.f64 (sqrt.f64 2) (.f64 (fma.f64 -1/16 y (sin.f64 x)) (fma.f64 -1/16 (sin.f64 x) (sin.f64 y))))
(.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x))) (+.f64 (sin.f64 x) (.f64 -1/16 y))))
(.f64 (sqrt.f64 2) (.f64 (+.f64 (sin.f64 x) (.f64 -1/16 y)) (+.f64 (sin.f64 y) (.f64 -1/16 (sin.f64 x)))))
(.f64 (sqrt.f64 2) (.f64 (fma.f64 -1/16 y (sin.f64 x)) (+.f64 (sin.f64 y) (*.f64 -1/16 (sin.f64 x)))))
(.f64 (sqrt.f64 2) (.f64 (fma.f64 -1/16 y (sin.f64 x)) (fma.f64 -1/16 (sin.f64 x) (sin.f64 y))))
(.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x))) (+.f64 (sin.f64 x) (.f64 -1/16 y))))
(.f64 (sqrt.f64 2) (.f64 (+.f64 (sin.f64 x) (.f64 -1/16 y)) (+.f64 (sin.f64 y) (.f64 -1/16 (sin.f64 x)))))
(.f64 (sqrt.f64 2) (.f64 (fma.f64 -1/16 y (sin.f64 x)) (+.f64 (sin.f64 y) (*.f64 -1/16 (sin.f64 x)))))
(.f64 (sqrt.f64 2) (.f64 (fma.f64 -1/16 y (sin.f64 x)) (fma.f64 -1/16 (sin.f64 x) (sin.f64 y))))
(.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x))) (+.f64 (sin.f64 x) (.f64 -1/16 y))))
(.f64 (sqrt.f64 2) (.f64 (+.f64 (sin.f64 x) (.f64 -1/16 y)) (+.f64 (sin.f64 y) (.f64 -1/16 (sin.f64 x)))))
(.f64 (sqrt.f64 2) (.f64 (fma.f64 -1/16 y (sin.f64 x)) (+.f64 (sin.f64 y) (*.f64 -1/16 (sin.f64 x)))))
(.f64 (sqrt.f64 2) (.f64 (fma.f64 -1/16 y (sin.f64 x)) (fma.f64 -1/16 (sin.f64 x) (sin.f64 y))))
(.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x))) (+.f64 (sin.f64 x) (.f64 -1/16 y))))
(.f64 (sqrt.f64 2) (.f64 (+.f64 (sin.f64 x) (.f64 -1/16 y)) (+.f64 (sin.f64 y) (.f64 -1/16 (sin.f64 x)))))
(.f64 (sqrt.f64 2) (.f64 (fma.f64 -1/16 y (sin.f64 x)) (+.f64 (sin.f64 y) (*.f64 -1/16 (sin.f64 x)))))
(.f64 (sqrt.f64 2) (.f64 (fma.f64 -1/16 y (sin.f64 x)) (fma.f64 -1/16 (sin.f64 x) (sin.f64 y))))
(.f64 -1/16 (.f64 (sqrt.f64 2) (pow.f64 (sin.f64 x) 2)))
(.f64 (.f64 -1/16 (sqrt.f64 2)) (pow.f64 (sin.f64 x) 2))
(.f64 (pow.f64 (sin.f64 x) 2) (.f64 -1/16 (sqrt.f64 2)))
(+.f64 (.f64 (sqrt.f64 2) (.f64 y (+.f64 (.f64 1/256 (sin.f64 x)) (sin.f64 x)))) (.f64 -1/16 (*.f64 (sqrt.f64 2) (pow.f64 (sin.f64 x) 2))))
(fma.f64 (sqrt.f64 2) (.f64 y (.f64 257/256 (sin.f64 x))) (.f64 (.f64 -1/16 (sqrt.f64 2)) (pow.f64 (sin.f64 x) 2)))
(fma.f64 (.f64 -1/16 (sqrt.f64 2)) (pow.f64 (sin.f64 x) 2) (.f64 (sqrt.f64 2) (.f64 y (.f64 (sin.f64 x) 257/256))))
(.f64 (sqrt.f64 2) (+.f64 (.f64 y (.f64 (sin.f64 x) 257/256)) (.f64 -1/16 (pow.f64 (sin.f64 x) 2))))
(.f64 (sin.f64 x) (.f64 (sqrt.f64 2) (+.f64 (.f64 -1/16 (sin.f64 x)) (.f64 y 257/256))))
(+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) (pow.f64 y 2))) (+.f64 (.f64 (sqrt.f64 2) (.f64 y (+.f64 (.f64 1/256 (sin.f64 x)) (sin.f64 x)))) (.f64 -1/16 (*.f64 (sqrt.f64 2) (pow.f64 (sin.f64 x) 2)))))
(fma.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 y y)) (fma.f64 (sqrt.f64 2) (.f64 y (.f64 257/256 (sin.f64 x))) (.f64 (.f64 -1/16 (sqrt.f64 2)) (pow.f64 (sin.f64 x) 2))))
(fma.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 y y)) (fma.f64 (.f64 -1/16 (sqrt.f64 2)) (pow.f64 (sin.f64 x) 2) (.f64 (sqrt.f64 2) (.f64 y (.f64 (sin.f64 x) 257/256)))))
(fma.f64 (sqrt.f64 2) (.f64 y (.f64 (sin.f64 x) 257/256)) (.f64 (.f64 -1/16 (sqrt.f64 2)) (+.f64 (*.f64 y y) (pow.f64 (sin.f64 x) 2))))
(.f64 (sqrt.f64 2) (+.f64 (.f64 -1/16 (pow.f64 (sin.f64 x) 2)) (.f64 y (+.f64 (.f64 (sin.f64 x) 257/256) (*.f64 -1/16 y)))))
(+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) (pow.f64 y 2))) (+.f64 (.f64 -1/6 (.f64 (sqrt.f64 2) (.f64 (pow.f64 y 3) (sin.f64 x)))) (+.f64 (.f64 (sqrt.f64 2) (.f64 y (+.f64 (.f64 1/256 (sin.f64 x)) (sin.f64 x)))) (.f64 -1/16 (.f64 (sqrt.f64 2) (pow.f64 (sin.f64 x) 2))))))
(fma.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 y y)) (fma.f64 -1/6 (.f64 (sqrt.f64 2) (.f64 (sin.f64 x) (pow.f64 y 3))) (fma.f64 (sqrt.f64 2) (.f64 y (.f64 257/256 (sin.f64 x))) (.f64 (.f64 -1/16 (sqrt.f64 2)) (pow.f64 (sin.f64 x) 2)))))
(fma.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 y y)) (fma.f64 -1/6 (.f64 (sqrt.f64 2) (.f64 (sin.f64 x) (pow.f64 y 3))) (fma.f64 (.f64 -1/16 (sqrt.f64 2)) (pow.f64 (sin.f64 x) 2) (.f64 (sqrt.f64 2) (.f64 y (.f64 (sin.f64 x) 257/256))))))
(+.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 y (.f64 (sin.f64 x) 257/256)) (.f64 -1/6 (.f64 (sin.f64 x) (pow.f64 y 3))))) (.f64 (.f64 -1/16 (sqrt.f64 2)) (+.f64 (.f64 y y) (pow.f64 (sin.f64 x) 2))))
(.f64 (sqrt.f64 2) (+.f64 (.f64 (sin.f64 x) (+.f64 (.f64 y 257/256) (.f64 (pow.f64 y 3) -1/6))) (.f64 -1/16 (+.f64 (pow.f64 (sin.f64 x) 2) (.f64 y y)))))
(.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x))) y)))
(.f64 (.f64 -1/16 (sqrt.f64 2)) (.f64 y (+.f64 (sin.f64 y) (.f64 -1/16 (sin.f64 x)))))
(.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 y (+.f64 (sin.f64 y) (.f64 -1/16 (sin.f64 x))))))
(.f64 -1/16 (.f64 (sqrt.f64 2) (*.f64 y (fma.f64 -1/16 (sin.f64 x) (sin.f64 y)))))
(.f64 -1/16 (.f64 (*.f64 (sqrt.f64 2) y) (fma.f64 -1/16 (sin.f64 x) (sin.f64 y))))
(+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x))) y))) (.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 y) (*.f64 1/16 (sin.f64 x))) (sin.f64 x))))
(.f64 (sqrt.f64 2) (.f64 (+.f64 (sin.f64 x) (.f64 -1/16 y)) (+.f64 (sin.f64 y) (.f64 -1/16 (sin.f64 x)))))
(.f64 (sqrt.f64 2) (.f64 (fma.f64 -1/16 y (sin.f64 x)) (+.f64 (sin.f64 y) (*.f64 -1/16 (sin.f64 x)))))
(.f64 (sqrt.f64 2) (.f64 (fma.f64 -1/16 y (sin.f64 x)) (fma.f64 -1/16 (sin.f64 x) (sin.f64 y))))
(+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x))) y))) (.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 y) (*.f64 1/16 (sin.f64 x))) (sin.f64 x))))
(.f64 (sqrt.f64 2) (.f64 (+.f64 (sin.f64 x) (.f64 -1/16 y)) (+.f64 (sin.f64 y) (.f64 -1/16 (sin.f64 x)))))
(.f64 (sqrt.f64 2) (.f64 (fma.f64 -1/16 y (sin.f64 x)) (+.f64 (sin.f64 y) (*.f64 -1/16 (sin.f64 x)))))
(.f64 (sqrt.f64 2) (.f64 (fma.f64 -1/16 y (sin.f64 x)) (fma.f64 -1/16 (sin.f64 x) (sin.f64 y))))
(+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x))) y))) (.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 y) (*.f64 1/16 (sin.f64 x))) (sin.f64 x))))
(.f64 (sqrt.f64 2) (.f64 (+.f64 (sin.f64 x) (.f64 -1/16 y)) (+.f64 (sin.f64 y) (.f64 -1/16 (sin.f64 x)))))
(.f64 (sqrt.f64 2) (.f64 (fma.f64 -1/16 y (sin.f64 x)) (+.f64 (sin.f64 y) (*.f64 -1/16 (sin.f64 x)))))
(.f64 (sqrt.f64 2) (.f64 (fma.f64 -1/16 y (sin.f64 x)) (fma.f64 -1/16 (sin.f64 x) (sin.f64 y))))
(.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x))) y)))
(.f64 (.f64 -1/16 (sqrt.f64 2)) (.f64 y (+.f64 (sin.f64 y) (.f64 -1/16 (sin.f64 x)))))
(.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 y (+.f64 (sin.f64 y) (.f64 -1/16 (sin.f64 x))))))
(.f64 -1/16 (.f64 (sqrt.f64 2) (*.f64 y (fma.f64 -1/16 (sin.f64 x) (sin.f64 y)))))
(.f64 -1/16 (.f64 (*.f64 (sqrt.f64 2) y) (fma.f64 -1/16 (sin.f64 x) (sin.f64 y))))
(+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x))) y))) (.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 y) (*.f64 1/16 (sin.f64 x))) (sin.f64 x))))
(.f64 (sqrt.f64 2) (.f64 (+.f64 (sin.f64 x) (.f64 -1/16 y)) (+.f64 (sin.f64 y) (.f64 -1/16 (sin.f64 x)))))
(.f64 (sqrt.f64 2) (.f64 (fma.f64 -1/16 y (sin.f64 x)) (+.f64 (sin.f64 y) (*.f64 -1/16 (sin.f64 x)))))
(.f64 (sqrt.f64 2) (.f64 (fma.f64 -1/16 y (sin.f64 x)) (fma.f64 -1/16 (sin.f64 x) (sin.f64 y))))
(+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x))) y))) (.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 y) (*.f64 1/16 (sin.f64 x))) (sin.f64 x))))
(.f64 (sqrt.f64 2) (.f64 (+.f64 (sin.f64 x) (.f64 -1/16 y)) (+.f64 (sin.f64 y) (.f64 -1/16 (sin.f64 x)))))
(.f64 (sqrt.f64 2) (.f64 (fma.f64 -1/16 y (sin.f64 x)) (+.f64 (sin.f64 y) (*.f64 -1/16 (sin.f64 x)))))
(.f64 (sqrt.f64 2) (.f64 (fma.f64 -1/16 y (sin.f64 x)) (fma.f64 -1/16 (sin.f64 x) (sin.f64 y))))
(+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x))) y))) (.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 y) (*.f64 1/16 (sin.f64 x))) (sin.f64 x))))
(.f64 (sqrt.f64 2) (.f64 (+.f64 (sin.f64 x) (.f64 -1/16 y)) (+.f64 (sin.f64 y) (.f64 -1/16 (sin.f64 x)))))
(.f64 (sqrt.f64 2) (.f64 (fma.f64 -1/16 y (sin.f64 x)) (+.f64 (sin.f64 y) (*.f64 -1/16 (sin.f64 x)))))
(.f64 (sqrt.f64 2) (.f64 (fma.f64 -1/16 y (sin.f64 x)) (fma.f64 -1/16 (sin.f64 x) (sin.f64 y))))

localize170.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.7b	(*.f64 6 (log.f64 (exp.f64 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1)))))
✓	0.8b	(log.f64 (exp.f64 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1))))
	1.0b	(-.f64 9/2 (*.f64 3/2 (sqrt.f64 5)))
	1.4b	(-.f64 (cos.f64 x) (cos.f64 y))

Compiler

Compiled 289 to 185 computations (36% saved)

series3.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(log.f64 (exp.f64 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1))))
1.0ms	x	@	0	(*.f64 6 (log.f64 (exp.f64 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1)))))
1.0ms	x	@	-inf	(log.f64 (exp.f64 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1))))
0.0ms	x	@	inf	(log.f64 (exp.f64 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1))))
0.0ms	x	@	inf	(*.f64 6 (log.f64 (exp.f64 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1)))))

rewrite105.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

464×	`log-prod_binary64`
372×	`exp-prod_binary64`
267×	`pow2_binary64`
254×	`prod-exp_binary64`
232×	`pow-prod-down_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	25
1	233	25
2	2724	25

Stop Event

1×	node limit

Counts

2 → 97

Calls

Call 1

Inputs
(log.f64 (exp.f64 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1))))
(*.f64 6 (log.f64 (exp.f64 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1)))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/3 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1))) (*.f64 2 (*.f64 1/3 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/2 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1))) (*.f64 1/2 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 2 (*.f64 1/3 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1)))) (*.f64 1/3 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 x) (*.f64 1/4 (+.f64 (sqrt.f64 5) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1))) (cbrt.f64 (pow.f64 (/.f64 (+.f64 (sqrt.f64 5) 1) (cos.f64 x)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 (sqrt.f64 5) 1) (cos.f64 x)) -2)) (cbrt.f64 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (*.f64 (cbrt.f64 (cos.f64 x)) (*.f64 1/4 (+.f64 (sqrt.f64 5) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1))) (sqrt.f64 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cos.f64 x)) (*.f64 (sqrt.f64 (cos.f64 x)) (*.f64 1/4 (+.f64 (sqrt.f64 5) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (cos.f64 x)) (/.f64 1 (+.f64 -1 (neg.f64 (sqrt.f64 5)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 3 (*.f64 1/3 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/4 (+.f64 (sqrt.f64 5) -1)) (cos.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 1/2 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/3 (*.f64 3 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) 1) (/.f64 (cbrt.f64 (cos.f64 x)) (+.f64 (sqrt.f64 5) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (cos.f64 x)) 1) (/.f64 (sqrt.f64 (cos.f64 x)) (+.f64 (sqrt.f64 5) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 5) 1)) -2) (/.f64 (cos.f64 x) (cbrt.f64 (+.f64 (sqrt.f64 5) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 5) 1)) 2)) (cbrt.f64 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (cos.f64 x)) (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 5) 1)) 2)) (/.f64 (sqrt.f64 (cos.f64 x)) (cbrt.f64 (+.f64 (sqrt.f64 5) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 (sqrt.f64 5) 1) -1/2) (/.f64 (cos.f64 x) (hypot.f64 1 (pow.f64 5 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (hypot.f64 1 (pow.f64 5 1/4))) (/.f64 (cbrt.f64 (cos.f64 x)) (hypot.f64 1 (pow.f64 5 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cos.f64 x) (+.f64 1 (pow.f64 5 3/2))) (-.f64 6 (sqrt.f64 5)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cos.f64 x) 4) (+.f64 (sqrt.f64 5) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (sqrt.f64 5) 1) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (/.f64 (+.f64 (sqrt.f64 5) 1) (cos.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (/.f64 (+.f64 (sqrt.f64 5) 1) (cbrt.f64 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (cos.f64 x)) (/.f64 (+.f64 (sqrt.f64 5) 1) (sqrt.f64 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (cos.f64 x)) (+.f64 -1 (neg.f64 (sqrt.f64 5))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (/.f64 (+.f64 (sqrt.f64 5) 1) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 (cos.f64 x))) (neg.f64 (+.f64 -1 (neg.f64 (sqrt.f64 5)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (cos.f64 x) (hypot.f64 1 (pow.f64 5 1/4))) (hypot.f64 1 (pow.f64 5 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (cos.f64 x) 1) (+.f64 (sqrt.f64 5) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (cos.f64 x) (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 5) 1)) 2)) (cbrt.f64 (+.f64 (sqrt.f64 5) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (-.f64 (log.f64 (cos.f64 x)) (log1p.f64 (sqrt.f64 5))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 (sqrt.f64 5) 1) (cos.f64 x)) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 (sqrt.f64 5) 1) (cos.f64 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (+.f64 (sqrt.f64 5) 1) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (+.f64 (sqrt.f64 5) 1) (cos.f64 x)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 (log.f64 (cos.f64 x)) (log1p.f64 (sqrt.f64 5)))) 2)) (cbrt.f64 (-.f64 (log.f64 (cos.f64 x)) (log1p.f64 (sqrt.f64 5)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (-.f64 (log.f64 (cos.f64 x)) (log1p.f64 (sqrt.f64 5))))) (sqrt.f64 (-.f64 (log.f64 (cos.f64 x)) (log1p.f64 (sqrt.f64 5)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (cos.f64 x) (+.f64 -1 (neg.f64 (sqrt.f64 5)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 (sqrt.f64 5) 1) (cos.f64 x)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (+.f64 (sqrt.f64 5) 1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 (cos.f64 x)) (log1p.f64 (sqrt.f64 5))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (log.f64 (cos.f64 x)) (log1p.f64 (sqrt.f64 5))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (-.f64 (log.f64 (cos.f64 x)) (log1p.f64 (sqrt.f64 5)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/3 (-.f64 (log.f64 (cos.f64 x)) (log1p.f64 (sqrt.f64 5)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/2 (-.f64 (log.f64 (cos.f64 x)) (log1p.f64 (sqrt.f64 5)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (log1p.f64 (sqrt.f64 5)) (log.f64 (cos.f64 x))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (-.f64 (log.f64 (cos.f64 x)) (log1p.f64 (sqrt.f64 5))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 (cos.f64 x)) 1) (log1p.f64 (sqrt.f64 5))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 (cos.f64 x)) (*.f64 (log1p.f64 (sqrt.f64 5)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 (cos.f64 x)) 1) (*.f64 (log1p.f64 (sqrt.f64 5)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (cos.f64 x)) 1) (neg.f64 (log1p.f64 (sqrt.f64 5)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (neg.f64 (log1p.f64 (sqrt.f64 5))) (*.f64 (log.f64 (cos.f64 x)) 1)))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 6 (/.f64 (+.f64 (sqrt.f64 5) 1) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (exp.f64 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1))) 4)) (*.f64 2 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 6) (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 6) (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 6 (/.f64 (+.f64 (sqrt.f64 5) 1) (cos.f64 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 6 (/.f64 (+.f64 (sqrt.f64 5) 1) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 x) 6) (+.f64 (sqrt.f64 5) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (cos.f64 x)) 6) (+.f64 -1 (neg.f64 (sqrt.f64 5))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 6 (cos.f64 x)) (+.f64 (sqrt.f64 5) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 6 (neg.f64 (cos.f64 x))) (+.f64 -1 (neg.f64 (sqrt.f64 5))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 6 (/.f64 (+.f64 (sqrt.f64 5) 1) (cos.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (-.f64 (log.f64 (*.f64 (cos.f64 x) 6)) (log1p.f64 (sqrt.f64 5))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 6 (/.f64 (+.f64 (sqrt.f64 5) 1) (cos.f64 x))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 6 (/.f64 (+.f64 (sqrt.f64 5) 1) (cos.f64 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 6 (/.f64 (+.f64 (sqrt.f64 5) 1) (cos.f64 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 6 (/.f64 (+.f64 (sqrt.f64 5) 1) (cos.f64 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 (log.f64 (*.f64 (cos.f64 x) 6)) (log1p.f64 (sqrt.f64 5)))) 2)) (cbrt.f64 (-.f64 (log.f64 (*.f64 (cos.f64 x) 6)) (log1p.f64 (sqrt.f64 5)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (-.f64 (log.f64 (*.f64 (cos.f64 x) 6)) (log1p.f64 (sqrt.f64 5))))) (sqrt.f64 (-.f64 (log.f64 (*.f64 (cos.f64 x) 6)) (log1p.f64 (sqrt.f64 5)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 6 (/.f64 (+.f64 (sqrt.f64 5) 1) (cos.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 6) (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 6 (/.f64 (+.f64 (sqrt.f64 5) 1) (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 6 (/.f64 (+.f64 (sqrt.f64 5) 1) (cos.f64 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 6 (/.f64 (+.f64 (sqrt.f64 5) 1) (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 6 (/.f64 (+.f64 (sqrt.f64 5) 1) (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 (*.f64 (cos.f64 x) 6)) (log1p.f64 (sqrt.f64 5))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (log.f64 (*.f64 (cos.f64 x) 6)) (log1p.f64 (sqrt.f64 5))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (-.f64 (log.f64 (*.f64 (cos.f64 x) 6)) (log1p.f64 (sqrt.f64 5)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 6 (/.f64 (+.f64 (sqrt.f64 5) 1) (cos.f64 x))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 6 (/.f64 (+.f64 (sqrt.f64 5) 1) (cos.f64 x))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (-.f64 (log.f64 (*.f64 (cos.f64 x) 6)) (log1p.f64 (sqrt.f64 5))) 1) 1))))))

simplify158.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

698×	`fma-def_binary64`
622×	`associate-*r/_binary64`
572×	`associate-/r*_binary64`
424×	`*-commutative_binary64`
420×	`associate-/r/_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	43	452
1	111	452
2	243	452
3	517	452
4	1780	436
5	5411	436
6	6231	436
7	7063	436
8	7971	436

Stop Event

1×	node limit

Counts

121 → 116

Calls

Call 1

Inputs
(/.f64 1 (+.f64 (sqrt.f64 5) 1))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 x 2) (+.f64 (sqrt.f64 5) 1))) (/.f64 1 (+.f64 (sqrt.f64 5) 1)))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 x 2) (+.f64 (sqrt.f64 5) 1))) (+.f64 (.f64 1/24 (/.f64 (pow.f64 x 4) (+.f64 (sqrt.f64 5) 1))) (/.f64 1 (+.f64 (sqrt.f64 5) 1))))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 x 2) (+.f64 (sqrt.f64 5) 1))) (+.f64 (.f64 -1/720 (/.f64 (pow.f64 x 6) (+.f64 (sqrt.f64 5) 1))) (+.f64 (*.f64 1/24 (/.f64 (pow.f64 x 4) (+.f64 (sqrt.f64 5) 1))) (/.f64 1 (+.f64 (sqrt.f64 5) 1)))))
(/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1))
(/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1))
(/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1))
(/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1))
(/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1))
(/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1))
(/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1))
(/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1))
(/.f64 6 (+.f64 (sqrt.f64 5) 1))
(+.f64 (.f64 -3 (/.f64 (pow.f64 x 2) (+.f64 (sqrt.f64 5) 1))) (.f64 6 (/.f64 1 (+.f64 (sqrt.f64 5) 1))))
(+.f64 (.f64 -3 (/.f64 (pow.f64 x 2) (+.f64 (sqrt.f64 5) 1))) (+.f64 (.f64 1/4 (/.f64 (pow.f64 x 4) (+.f64 (sqrt.f64 5) 1))) (*.f64 6 (/.f64 1 (+.f64 (sqrt.f64 5) 1)))))
(+.f64 (.f64 -3 (/.f64 (pow.f64 x 2) (+.f64 (sqrt.f64 5) 1))) (+.f64 (.f64 -1/120 (/.f64 (pow.f64 x 6) (+.f64 (sqrt.f64 5) 1))) (+.f64 (.f64 1/4 (/.f64 (pow.f64 x 4) (+.f64 (sqrt.f64 5) 1))) (.f64 6 (/.f64 1 (+.f64 (sqrt.f64 5) 1))))))
(*.f64 6 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1)))
(*.f64 6 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1)))
(*.f64 6 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1)))
(*.f64 6 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1)))
(*.f64 6 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1)))
(*.f64 6 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1)))
(*.f64 6 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1)))
(*.f64 6 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1)))

Outputs
(/.f64 1 (+.f64 (sqrt.f64 5) 1))
(/.f64 1 (+.f64 1 (sqrt.f64 5)))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 x 2) (+.f64 (sqrt.f64 5) 1))) (/.f64 1 (+.f64 (sqrt.f64 5) 1)))
(fma.f64 -1/2 (/.f64 (*.f64 x x) (+.f64 1 (sqrt.f64 5))) (/.f64 1 (+.f64 1 (sqrt.f64 5))))
(fma.f64 -1/2 (/.f64 x (/.f64 (+.f64 1 (sqrt.f64 5)) x)) (/.f64 1 (+.f64 1 (sqrt.f64 5))))
(fma.f64 -1/2 (*.f64 (/.f64 x (+.f64 1 (sqrt.f64 5))) x) (/.f64 1 (+.f64 1 (sqrt.f64 5))))
(fma.f64 -1/2 (*.f64 x (/.f64 x (+.f64 1 (sqrt.f64 5)))) (/.f64 1 (+.f64 1 (sqrt.f64 5))))
(fma.f64 (*.f64 x x) (/.f64 -1/2 (+.f64 1 (sqrt.f64 5))) (/.f64 1 (+.f64 1 (sqrt.f64 5))))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 x 2) (+.f64 (sqrt.f64 5) 1))) (+.f64 (.f64 1/24 (/.f64 (pow.f64 x 4) (+.f64 (sqrt.f64 5) 1))) (/.f64 1 (+.f64 (sqrt.f64 5) 1))))
(fma.f64 -1/2 (/.f64 (*.f64 x x) (+.f64 1 (sqrt.f64 5))) (fma.f64 1/24 (/.f64 (pow.f64 x 4) (+.f64 1 (sqrt.f64 5))) (/.f64 1 (+.f64 1 (sqrt.f64 5)))))
(fma.f64 -1/2 (/.f64 x (/.f64 (+.f64 1 (sqrt.f64 5)) x)) (fma.f64 1/24 (/.f64 (pow.f64 x 4) (+.f64 1 (sqrt.f64 5))) (/.f64 1 (+.f64 1 (sqrt.f64 5)))))
(fma.f64 -1/2 (*.f64 (/.f64 x (+.f64 1 (sqrt.f64 5))) x) (fma.f64 1/24 (/.f64 (pow.f64 x 4) (+.f64 1 (sqrt.f64 5))) (/.f64 1 (+.f64 1 (sqrt.f64 5)))))
(fma.f64 -1/2 (*.f64 x (/.f64 x (+.f64 1 (sqrt.f64 5)))) (fma.f64 1/24 (/.f64 (pow.f64 x 4) (+.f64 1 (sqrt.f64 5))) (/.f64 1 (+.f64 1 (sqrt.f64 5)))))
(+.f64 (/.f64 1 (+.f64 1 (sqrt.f64 5))) (.f64 (.f64 x (/.f64 x (+.f64 1 (sqrt.f64 5)))) (+.f64 -1/2 (.f64 x (.f64 x 1/24)))))
(+.f64 (/.f64 1 (+.f64 1 (sqrt.f64 5))) (/.f64 (.f64 x (+.f64 -1/2 (.f64 x (*.f64 x 1/24)))) (/.f64 (+.f64 1 (sqrt.f64 5)) x)))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 x 2) (+.f64 (sqrt.f64 5) 1))) (+.f64 (.f64 -1/720 (/.f64 (pow.f64 x 6) (+.f64 (sqrt.f64 5) 1))) (+.f64 (*.f64 1/24 (/.f64 (pow.f64 x 4) (+.f64 (sqrt.f64 5) 1))) (/.f64 1 (+.f64 (sqrt.f64 5) 1)))))
(fma.f64 -1/2 (/.f64 (*.f64 x x) (+.f64 1 (sqrt.f64 5))) (fma.f64 -1/720 (/.f64 (pow.f64 x 6) (+.f64 1 (sqrt.f64 5))) (fma.f64 1/24 (/.f64 (pow.f64 x 4) (+.f64 1 (sqrt.f64 5))) (/.f64 1 (+.f64 1 (sqrt.f64 5))))))
(fma.f64 -1/2 (/.f64 x (/.f64 (+.f64 1 (sqrt.f64 5)) x)) (fma.f64 -1/720 (/.f64 (pow.f64 x 6) (+.f64 1 (sqrt.f64 5))) (fma.f64 1/24 (/.f64 (pow.f64 x 4) (+.f64 1 (sqrt.f64 5))) (/.f64 1 (+.f64 1 (sqrt.f64 5))))))
(fma.f64 -1/2 (*.f64 (/.f64 x (+.f64 1 (sqrt.f64 5))) x) (fma.f64 -1/720 (/.f64 (pow.f64 x 6) (+.f64 1 (sqrt.f64 5))) (fma.f64 1/24 (/.f64 (pow.f64 x 4) (+.f64 1 (sqrt.f64 5))) (/.f64 1 (+.f64 1 (sqrt.f64 5))))))
(fma.f64 -1/2 (*.f64 x (/.f64 x (+.f64 1 (sqrt.f64 5)))) (fma.f64 1/24 (/.f64 (pow.f64 x 4) (+.f64 1 (sqrt.f64 5))) (fma.f64 -1/720 (/.f64 (pow.f64 x 6) (+.f64 1 (sqrt.f64 5))) (/.f64 1 (+.f64 1 (sqrt.f64 5))))))
(+.f64 (.f64 (.f64 x (/.f64 x (+.f64 1 (sqrt.f64 5)))) (+.f64 -1/2 (.f64 x (.f64 x 1/24)))) (fma.f64 -1/720 (/.f64 (pow.f64 x 6) (+.f64 1 (sqrt.f64 5))) (/.f64 1 (+.f64 1 (sqrt.f64 5)))))
(+.f64 (/.f64 (.f64 x (+.f64 -1/2 (.f64 x (*.f64 x 1/24)))) (/.f64 (+.f64 1 (sqrt.f64 5)) x)) (fma.f64 -1/720 (/.f64 (pow.f64 x 6) (+.f64 1 (sqrt.f64 5))) (/.f64 1 (+.f64 1 (sqrt.f64 5)))))
(/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1))
(/.f64 (cos.f64 x) (+.f64 1 (sqrt.f64 5)))
(/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1))
(/.f64 (cos.f64 x) (+.f64 1 (sqrt.f64 5)))
(/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1))
(/.f64 (cos.f64 x) (+.f64 1 (sqrt.f64 5)))
(/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1))
(/.f64 (cos.f64 x) (+.f64 1 (sqrt.f64 5)))
(/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1))
(/.f64 (cos.f64 x) (+.f64 1 (sqrt.f64 5)))
(/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1))
(/.f64 (cos.f64 x) (+.f64 1 (sqrt.f64 5)))
(/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1))
(/.f64 (cos.f64 x) (+.f64 1 (sqrt.f64 5)))
(/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1))
(/.f64 (cos.f64 x) (+.f64 1 (sqrt.f64 5)))
(/.f64 6 (+.f64 (sqrt.f64 5) 1))
(/.f64 6 (+.f64 1 (sqrt.f64 5)))
(+.f64 (.f64 -3 (/.f64 (pow.f64 x 2) (+.f64 (sqrt.f64 5) 1))) (.f64 6 (/.f64 1 (+.f64 (sqrt.f64 5) 1))))
(fma.f64 -3 (/.f64 (*.f64 x x) (+.f64 1 (sqrt.f64 5))) (/.f64 6 (+.f64 1 (sqrt.f64 5))))
(fma.f64 (/.f64 x (/.f64 (+.f64 1 (sqrt.f64 5)) x)) -3 (/.f64 6 (+.f64 1 (sqrt.f64 5))))
(fma.f64 (*.f64 (/.f64 x (+.f64 1 (sqrt.f64 5))) x) -3 (/.f64 6 (+.f64 1 (sqrt.f64 5))))
(fma.f64 (*.f64 x (/.f64 x (+.f64 1 (sqrt.f64 5)))) -3 (/.f64 6 (+.f64 1 (sqrt.f64 5))))
(fma.f64 (*.f64 x x) (/.f64 -3 (+.f64 1 (sqrt.f64 5))) (/.f64 6 (+.f64 1 (sqrt.f64 5))))
(+.f64 (.f64 -3 (/.f64 (pow.f64 x 2) (+.f64 (sqrt.f64 5) 1))) (+.f64 (.f64 1/4 (/.f64 (pow.f64 x 4) (+.f64 (sqrt.f64 5) 1))) (*.f64 6 (/.f64 1 (+.f64 (sqrt.f64 5) 1)))))
(fma.f64 -3 (/.f64 (*.f64 x x) (+.f64 1 (sqrt.f64 5))) (fma.f64 1/4 (/.f64 (pow.f64 x 4) (+.f64 1 (sqrt.f64 5))) (/.f64 6 (+.f64 1 (sqrt.f64 5)))))
(fma.f64 (/.f64 x (/.f64 (+.f64 1 (sqrt.f64 5)) x)) -3 (fma.f64 (/.f64 (pow.f64 x 4) (+.f64 1 (sqrt.f64 5))) 1/4 (/.f64 6 (+.f64 1 (sqrt.f64 5)))))
(fma.f64 (/.f64 (pow.f64 x 4) (+.f64 1 (sqrt.f64 5))) 1/4 (fma.f64 (*.f64 (/.f64 x (+.f64 1 (sqrt.f64 5))) x) -3 (/.f64 6 (+.f64 1 (sqrt.f64 5)))))
(fma.f64 (*.f64 x (/.f64 x (+.f64 1 (sqrt.f64 5)))) -3 (fma.f64 (/.f64 1/4 (+.f64 1 (sqrt.f64 5))) (pow.f64 x 4) (/.f64 6 (+.f64 1 (sqrt.f64 5)))))
(+.f64 (/.f64 6 (+.f64 1 (sqrt.f64 5))) (.f64 (.f64 x (/.f64 x (+.f64 1 (sqrt.f64 5)))) (+.f64 -3 (.f64 x (.f64 x 1/4)))))
(+.f64 (.f64 -3 (/.f64 (pow.f64 x 2) (+.f64 (sqrt.f64 5) 1))) (+.f64 (.f64 -1/120 (/.f64 (pow.f64 x 6) (+.f64 (sqrt.f64 5) 1))) (+.f64 (.f64 1/4 (/.f64 (pow.f64 x 4) (+.f64 (sqrt.f64 5) 1))) (.f64 6 (/.f64 1 (+.f64 (sqrt.f64 5) 1))))))
(fma.f64 -3 (/.f64 (*.f64 x x) (+.f64 1 (sqrt.f64 5))) (fma.f64 -1/120 (/.f64 (pow.f64 x 6) (+.f64 1 (sqrt.f64 5))) (fma.f64 1/4 (/.f64 (pow.f64 x 4) (+.f64 1 (sqrt.f64 5))) (/.f64 6 (+.f64 1 (sqrt.f64 5))))))
(fma.f64 (/.f64 x (/.f64 (+.f64 1 (sqrt.f64 5)) x)) -3 (fma.f64 (/.f64 (pow.f64 x 6) (+.f64 1 (sqrt.f64 5))) -1/120 (fma.f64 (/.f64 (pow.f64 x 4) (+.f64 1 (sqrt.f64 5))) 1/4 (/.f64 6 (+.f64 1 (sqrt.f64 5))))))
(fma.f64 (/.f64 (pow.f64 x 6) (+.f64 1 (sqrt.f64 5))) -1/120 (fma.f64 (/.f64 (pow.f64 x 4) (+.f64 1 (sqrt.f64 5))) 1/4 (fma.f64 (*.f64 (/.f64 x (+.f64 1 (sqrt.f64 5))) x) -3 (/.f64 6 (+.f64 1 (sqrt.f64 5))))))
(fma.f64 (*.f64 x (/.f64 x (+.f64 1 (sqrt.f64 5)))) -3 (fma.f64 (/.f64 (pow.f64 x 4) (+.f64 1 (sqrt.f64 5))) 1/4 (fma.f64 (/.f64 (pow.f64 x 6) (+.f64 1 (sqrt.f64 5))) -1/120 (/.f64 6 (+.f64 1 (sqrt.f64 5))))))
(+.f64 (/.f64 6 (+.f64 1 (sqrt.f64 5))) (fma.f64 (pow.f64 x 6) (/.f64 -1/120 (+.f64 1 (sqrt.f64 5))) (.f64 (.f64 x (/.f64 x (+.f64 1 (sqrt.f64 5)))) (+.f64 -3 (.f64 x (.f64 x 1/4))))))
(+.f64 (.f64 (.f64 x (/.f64 x (+.f64 1 (sqrt.f64 5)))) (+.f64 -3 (.f64 x (.f64 x 1/4)))) (fma.f64 (pow.f64 x 6) (/.f64 -1/120 (+.f64 1 (sqrt.f64 5))) (/.f64 6 (+.f64 1 (sqrt.f64 5)))))
(*.f64 6 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1)))
(*.f64 6 (/.f64 (cos.f64 x) (+.f64 1 (sqrt.f64 5))))
(/.f64 6 (/.f64 (+.f64 1 (sqrt.f64 5)) (cos.f64 x)))
(*.f64 (cos.f64 x) (/.f64 6 (+.f64 1 (sqrt.f64 5))))
(*.f64 6 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1)))
(*.f64 6 (/.f64 (cos.f64 x) (+.f64 1 (sqrt.f64 5))))
(/.f64 6 (/.f64 (+.f64 1 (sqrt.f64 5)) (cos.f64 x)))
(*.f64 (cos.f64 x) (/.f64 6 (+.f64 1 (sqrt.f64 5))))
(*.f64 6 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1)))
(*.f64 6 (/.f64 (cos.f64 x) (+.f64 1 (sqrt.f64 5))))
(/.f64 6 (/.f64 (+.f64 1 (sqrt.f64 5)) (cos.f64 x)))
(*.f64 (cos.f64 x) (/.f64 6 (+.f64 1 (sqrt.f64 5))))
(*.f64 6 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1)))
(*.f64 6 (/.f64 (cos.f64 x) (+.f64 1 (sqrt.f64 5))))
(/.f64 6 (/.f64 (+.f64 1 (sqrt.f64 5)) (cos.f64 x)))
(*.f64 (cos.f64 x) (/.f64 6 (+.f64 1 (sqrt.f64 5))))
(*.f64 6 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1)))
(*.f64 6 (/.f64 (cos.f64 x) (+.f64 1 (sqrt.f64 5))))
(/.f64 6 (/.f64 (+.f64 1 (sqrt.f64 5)) (cos.f64 x)))
(*.f64 (cos.f64 x) (/.f64 6 (+.f64 1 (sqrt.f64 5))))
(*.f64 6 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1)))
(*.f64 6 (/.f64 (cos.f64 x) (+.f64 1 (sqrt.f64 5))))
(/.f64 6 (/.f64 (+.f64 1 (sqrt.f64 5)) (cos.f64 x)))
(*.f64 (cos.f64 x) (/.f64 6 (+.f64 1 (sqrt.f64 5))))
(*.f64 6 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1)))
(*.f64 6 (/.f64 (cos.f64 x) (+.f64 1 (sqrt.f64 5))))
(/.f64 6 (/.f64 (+.f64 1 (sqrt.f64 5)) (cos.f64 x)))
(*.f64 (cos.f64 x) (/.f64 6 (+.f64 1 (sqrt.f64 5))))
(*.f64 6 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1)))
(*.f64 6 (/.f64 (cos.f64 x) (+.f64 1 (sqrt.f64 5))))
(/.f64 6 (/.f64 (+.f64 1 (sqrt.f64 5)) (cos.f64 x)))
(*.f64 (cos.f64 x) (/.f64 6 (+.f64 1 (sqrt.f64 5))))

eval1.5s (4.6%)

Compiler: Compiled 56508 to 41137 computations (27.2% saved)

prune271.0ms (0.8%)

Pruning

81 alts after pruning (78 fresh and 3 done)

	Pruned	Kept	Total
New	991	39	1030
Fresh	26	39	65
Picked	1	0	1
Done	4	3	7
Total	1022	81	1103

Error

0.0b

Counts

1103 → 81

Alt Table

Click to see full alt table

Status	Error	Program
	25.2b	(/.f64 (+.f64 2 (.f64 (.f64 (pow.f64 (sin.f64 x) 2) (.f64 -1/16 (sqrt.f64 2))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
	26.7b	(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (/.f64 (.f64 6 (cos.f64 x)) (+.f64 (sqrt.f64 5) 1))) (*.f64 3/2 (sqrt.f64 5))))
	26.7b	(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (.f64 6 (.f64 (/.f64 (cos.f64 x) 4) (+.f64 (sqrt.f64 5) -1)))) (.f64 3/2 (sqrt.f64 5))))
	0.5b	(/.f64 (+.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x)) (+.f64 (.f64 -1/16 (sin.f64 x)) (sin.f64 y))))) 2) (+.f64 3 (+.f64 (.f64 (cos.f64 y) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5)))) (.f64 6 (*.f64 (/.f64 (cos.f64 x) 4) (+.f64 (sqrt.f64 5) -1))))))
✓	32.5b	(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (+.f64 (sin.f64 x) (.f64 y -1/16))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (*.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
	28.3b	(/.f64 (+.f64 (.f64 (+.f64 (cos.f64 x) -1) (+.f64 (.f64 (sqrt.f64 2) (.f64 -1/16 (pow.f64 (sin.f64 x) 2))) (.f64 (sqrt.f64 2) (.f64 y (.f64 (sin.f64 x) 257/256))))) 2) (+.f64 3 (+.f64 (.f64 (cos.f64 y) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5)))) (/.f64 6 (/.f64 (+.f64 (sqrt.f64 5) 1) (cos.f64 x))))))
	0.4b	(/.f64 (+.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x)) (+.f64 (.f64 -1/16 (sin.f64 x)) (sin.f64 y))))) 2) (+.f64 3 (+.f64 (.f64 (cos.f64 y) (/.f64 9 (+.f64 9/2 (sqrt.f64 45/4)))) (/.f64 6 (/.f64 (+.f64 (sqrt.f64 5) 1) (cos.f64 x))))))
	0.7b	(/.f64 (+.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x)) (+.f64 (.f64 -1/16 (sin.f64 x)) (sin.f64 y))))) 2) (+.f64 3 (+.f64 (.f64 (cos.f64 y) (fma.f64 (*.f64 -3/2 (cbrt.f64 5)) (pow.f64 5 1/6) 9/2)) (/.f64 6 (/.f64 (+.f64 (sqrt.f64 5) 1) (cos.f64 x))))))
	1.2b	(/.f64 (+.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x)) (+.f64 (.f64 -1/16 (sin.f64 x)) (sin.f64 y))))) 2) (+.f64 3 (+.f64 (.f64 (cos.f64 y) (-.f64 9/2 (*.f64 3/2 (sqrt.f64 5)))) (pow.f64 (cbrt.f64 (/.f64 6 (/.f64 (+.f64 (sqrt.f64 5) 1) (cos.f64 x)))) 3))))
	24.1b	(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (sin.f64 x)) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (/.f64 (cos.f64 x) (.f64 1/2 (+.f64 (sqrt.f64 5) 1)))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
	24.1b	(/.f64 (+.f64 2 (.f64 (.f64 (sqrt.f64 2) (.f64 -1/16 (pow.f64 (sin.f64 y) 2))) (pow.f64 (cbrt.f64 (-.f64 (cos.f64 x) (cos.f64 y))) 3))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (/.f64 4 (+.f64 3 (sqrt.f64 5))) 2) (cos.f64 y)))))
	24.1b	(.f64 (fma.f64 (sqrt.f64 2) (.f64 (.f64 -1/16 (pow.f64 (sin.f64 y) 2)) (-.f64 (cos.f64 x) (cos.f64 y))) 2) (/.f64 1 (.f64 3 (fma.f64 (cos.f64 y) (*.f64 (/.f64 4 (+.f64 3 (sqrt.f64 5))) 1/2) (fma.f64 (cos.f64 x) (-.f64 (/.f64 (sqrt.f64 5) 2) 1/2) 1)))))
	24.1b	(/.f64 (+.f64 2 (.f64 (-.f64 (exp.f64 (log1p.f64 (.f64 (sqrt.f64 2) (.f64 -1/16 (pow.f64 (sin.f64 y) 2))))) 1) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (/.f64 4 (+.f64 3 (sqrt.f64 5))) 2) (cos.f64 y)))))
	24.0b	(/.f64 (+.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (.f64 (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x)) (+.f64 (.f64 -1/16 (sin.f64 x)) (sin.f64 y))))) 2) (+.f64 3 (+.f64 (.f64 (cos.f64 y) (-.f64 9/2 (*.f64 3/2 (sqrt.f64 5)))) (/.f64 6 (/.f64 (+.f64 (sqrt.f64 5) 1) (cos.f64 x))))))
	0.5b	(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (/.f64 1 (/.f64 2 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1))))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
✓	24.1b	(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (sin.f64 x)) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (/.f64 1 (/.f64 2 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1))))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
	0.4b	(/.f64 (+.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x)) (+.f64 (.f64 -1/16 (sin.f64 x)) (sin.f64 y))))) 2) (+.f64 3 (+.f64 (.f64 (cos.f64 y) (+.f64 (neg.f64 (sqrt.f64 45/4)) 9/2)) (*.f64 6 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1))))))
	24.1b	(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (sin.f64 x)) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (/.f64 4 (+.f64 3 (sqrt.f64 5))) 2) (cos.f64 y)))))
	37.1b	(/.f64 2/3 (+.f64 1 (fma.f64 (cos.f64 x) (fma.f64 1/2 (sqrt.f64 5) -1/2) (/.f64 2 (+.f64 (sqrt.f64 5) 3)))))
	25.1b	(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) 1))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
	24.1b	(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (sin.f64 x)) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (/.f64 (+.f64 (sqrt.f64 5) -1) (/.f64 2 (cos.f64 x)))) (*.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
	24.1b	(/.f64 (+.f64 2 (.f64 (.f64 (sqrt.f64 2) (.f64 -1/16 (pow.f64 (sin.f64 y) 2))) (sqrt.f64 (pow.f64 (-.f64 (cos.f64 x) (cos.f64 y)) 2)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (/.f64 4 (+.f64 3 (sqrt.f64 5))) 2) (cos.f64 y)))))
	25.1b	(/.f64 (+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1)))) 2) (+.f64 3 (+.f64 (.f64 (cos.f64 y) (-.f64 9/2 (*.f64 3/2 (sqrt.f64 5)))) (/.f64 6 (/.f64 (+.f64 (sqrt.f64 5) 1) (cos.f64 x))))))
	1.0b	(/.f64 (+.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x)) (+.f64 (.f64 -1/16 (sin.f64 x)) (sin.f64 y))))) 2) (+.f64 3 (+.f64 (.f64 (cos.f64 y) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5)))) (.f64 6 (pow.f64 (cbrt.f64 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1))) 3)))))
	0.4b	(/.f64 (+.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x)) (+.f64 (.f64 -1/16 (sin.f64 x)) (sin.f64 y))))) 2) (+.f64 3 (+.f64 (.f64 (cos.f64 y) (+.f64 (neg.f64 (sqrt.f64 45/4)) 9/2)) (/.f64 6 (/.f64 (+.f64 (sqrt.f64 5) 1) (cos.f64 x))))))
	37.1b	(/.f64 2/3 (+.f64 1 (+.f64 (.f64 1/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))) (*.f64 2 (/.f64 1 (+.f64 (sqrt.f64 5) 3))))))
	44.1b	(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (pow.f64 x 4) (.f64 -1/2 (sqrt.f64 2))))) (-.f64 (+.f64 15/2 (.f64 6 (+.f64 (/.f64 1 (+.f64 (sqrt.f64 5) 1)) (.f64 (.f64 x (/.f64 x (+.f64 (sqrt.f64 5) 1))) (+.f64 -1/2 (.f64 (.f64 x x) 1/24)))))) (*.f64 3/2 (sqrt.f64 5))))
	0.4b	(/.f64 (+.f64 (.f64 (sqrt.f64 2) (.f64 (log1p.f64 (expm1.f64 (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x)) (+.f64 (.f64 -1/16 (sin.f64 x)) (sin.f64 y))))) 2) (+.f64 3 (+.f64 (.f64 (cos.f64 y) (-.f64 9/2 (*.f64 3/2 (sqrt.f64 5)))) (/.f64 6 (/.f64 (+.f64 (sqrt.f64 5) 1) (cos.f64 x))))))
	38.8b	(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (/.f64 6 (+.f64 (sqrt.f64 5) 1))) (.f64 3/2 (sqrt.f64 5))))
	0.6b	(log.f64 (exp.f64 (/.f64 (fma.f64 (sqrt.f64 2) (.f64 (fma.f64 -1/16 (sin.f64 x) (sin.f64 y)) (.f64 (fma.f64 (sin.f64 y) -1/16 (sin.f64 x)) (-.f64 (cos.f64 x) (cos.f64 y)))) 2) (fma.f64 (cos.f64 x) (/.f64 1 (fma.f64 1/6 (sqrt.f64 5) 1/6)) (fma.f64 (cos.f64 y) (-.f64 9/2 (*.f64 (sqrt.f64 5) 3/2)) 3)))))
	24.0b	(/.f64 (+.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 -1/16 (pow.f64 (sin.f64 y) 2)))) 2) (+.f64 3 (+.f64 (.f64 (cos.f64 y) (-.f64 9/2 (*.f64 3/2 (sqrt.f64 5)))) (/.f64 6 (/.f64 (+.f64 (sqrt.f64 5) 1) (cos.f64 x))))))
	26.7b	(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 (cos.f64 x) -1)) 3))))) (-.f64 (+.f64 15/2 (.f64 6 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1)))) (*.f64 3/2 (sqrt.f64 5))))
	24.1b	(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (sin.f64 x)) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 1 (/.f64 2 (cos.f64 x))) (+.f64 (sqrt.f64 5) -1))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
	24.0b	(/.f64 (+.f64 2 (.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 (sqrt.f64 2) (+.f64 (sin.f64 x) (.f64 (sin.f64 y) -1/16)))) 3) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 1 (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (*.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
	26.7b	(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (.f64 6 (pow.f64 (cbrt.f64 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1))) 3))) (*.f64 3/2 (sqrt.f64 5))))
	0.4b	(/.f64 (+.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x)) (+.f64 (.f64 -1/16 (sin.f64 x)) (sin.f64 y))))) 2) (+.f64 3 (+.f64 (.f64 (cos.f64 y) (/.f64 9 (+.f64 9/2 (sqrt.f64 45/4)))) (*.f64 6 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1))))))
	0.5b	(/.f64 (+.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x)) (+.f64 (.f64 -1/16 (sin.f64 x)) (sin.f64 y))))) 2) (+.f64 3 (+.f64 (.f64 (cos.f64 y) (+.f64 (neg.f64 (sqrt.f64 45/4)) 9/2)) (*.f64 6 (log.f64 (exp.f64 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1))))))))
	0.4b	(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (/.f64 (cos.f64 x) (.f64 1/2 (+.f64 (sqrt.f64 5) 1)))) (.f64 (/.f64 (/.f64 4 (+.f64 3 (sqrt.f64 5))) 2) (cos.f64 y)))))
	32.4b	(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (+.f64 (sin.f64 x) (.f64 y -1/16))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (*.f64 (/.f64 (/.f64 4 (+.f64 3 (sqrt.f64 5))) 2) (cos.f64 y)))))
	37.6b	(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (sin.f64 x)) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 1/2 (-.f64 (sqrt.f64 5) 1))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
	26.7b	(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (.f64 6 (.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) 1) (/.f64 (cbrt.f64 (cos.f64 x)) (+.f64 (sqrt.f64 5) 1))))) (.f64 3/2 (sqrt.f64 5))))
	0.5b	(pow.f64 (/.f64 (fma.f64 (cos.f64 x) (/.f64 1 (fma.f64 1/6 (sqrt.f64 5) 1/6)) (fma.f64 (cos.f64 y) (-.f64 9/2 (.f64 (sqrt.f64 5) 3/2)) 3)) (fma.f64 (sqrt.f64 2) (.f64 (fma.f64 -1/16 (sin.f64 x) (sin.f64 y)) (*.f64 (fma.f64 (sin.f64 y) -1/16 (sin.f64 x)) (-.f64 (cos.f64 x) (cos.f64 y)))) 2)) -1)
	45.4b	(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (pow.f64 x 4) (.f64 -1/2 (sqrt.f64 2))))) (-.f64 (+.f64 15/2 (pow.f64 (cbrt.f64 (/.f64 6 (/.f64 (+.f64 (sqrt.f64 5) 1) (cos.f64 x)))) 3)) (.f64 3/2 (sqrt.f64 5))))
	26.0b	(/.f64 (+.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x)) (+.f64 (.f64 -1/16 (sin.f64 x)) (sin.f64 y))))) 2) (+.f64 3 (+.f64 (.f64 (cos.f64 y) (-.f64 9/2 (*.f64 3/2 (sqrt.f64 5)))) (/.f64 6 (+.f64 (sqrt.f64 5) 1)))))
	24.2b	(/.f64 (+.f64 2 (.f64 (.f64 (sqrt.f64 2) (.f64 -1/16 (pow.f64 (sin.f64 y) 2))) (-.f64 1 (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (/.f64 4 (+.f64 3 (sqrt.f64 5))) 2) (cos.f64 y)))))
	28.3b	(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (+.f64 (sin.f64 x) (.f64 y -1/16))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) 1))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (*.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
	26.7b	(/.f64 (+.f64 2 (.f64 (.f64 (sqrt.f64 2) (.f64 -1/16 (pow.f64 (sin.f64 y) 2))) (expm1.f64 (log1p.f64 (-.f64 (cos.f64 x) (cos.f64 y)))))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (/.f64 4 (+.f64 3 (sqrt.f64 5))) 2) (cos.f64 y)))))
	26.3b	(/.f64 (+.f64 2 (.f64 (.f64 (sqrt.f64 2) (.f64 -1/16 (pow.f64 (sin.f64 y) 2))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 1/2 (-.f64 (sqrt.f64 5) 1))) (.f64 (/.f64 (/.f64 4 (+.f64 3 (sqrt.f64 5))) 2) (cos.f64 y)))))
	26.3b	(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2))))) (+.f64 3 (+.f64 (.f64 6 (/.f64 1 (+.f64 (sqrt.f64 5) 1))) (.f64 (cos.f64 y) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5)))))))
	7.2b	(/.f64 (+.f64 2 (.f64 (.f64 (-.f64 (exp.f64 (log1p.f64 (.f64 (sqrt.f64 2) (+.f64 (sin.f64 x) (.f64 (sin.f64 y) -1/16))))) 1) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (*.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
	44.1b	(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (pow.f64 x 4) (.f64 -1/2 (sqrt.f64 2))))) (+.f64 (/.f64 6 (+.f64 1 (sqrt.f64 5))) (+.f64 (fma.f64 (sqrt.f64 5) -3/2 15/2) (.f64 (.f64 x (/.f64 x (+.f64 1 (sqrt.f64 5)))) (+.f64 -3 (.f64 x (*.f64 x 1/4)))))))
	24.1b	(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (.f64 -1/16 (sin.f64 y))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (*.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
	0.4b	(/.f64 (+.f64 (pow.f64 (cbrt.f64 (.f64 (.f64 (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)) (fma.f64 -1/16 (sin.f64 x) (sin.f64 y))) (.f64 (sqrt.f64 2) (-.f64 (cos.f64 x) (cos.f64 y))))) 3) 2) (+.f64 3 (+.f64 (.f64 (cos.f64 y) (-.f64 9/2 (*.f64 3/2 (sqrt.f64 5)))) (/.f64 6 (/.f64 (+.f64 (sqrt.f64 5) 1) (cos.f64 x))))))
	27.5b	(/.f64 (+.f64 (.f64 (.f64 (sqrt.f64 2) (-.f64 1 (cos.f64 y))) (.f64 (sin.f64 y) (+.f64 (.f64 x 257/256) (.f64 -1/16 (sin.f64 y))))) 2) (+.f64 3 (+.f64 (.f64 (cos.f64 y) (-.f64 9/2 (*.f64 3/2 (sqrt.f64 5)))) (/.f64 6 (/.f64 (+.f64 (sqrt.f64 5) 1) (cos.f64 x))))))
	26.3b	(/.f64 (+.f64 2/3 (.f64 (.f64 (sqrt.f64 2) (*.f64 (pow.f64 (sin.f64 y) 2) (-.f64 1 (cos.f64 y)))) -1/48)) (fma.f64 2 (/.f64 (cos.f64 y) (+.f64 (sqrt.f64 5) 3)) (+.f64 1 (fma.f64 1/2 (sqrt.f64 5) -1/2))))
	30.2b	(/.f64 (+.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (sin.f64 x) (+.f64 (.f64 -1/16 (sin.f64 x)) (.f64 y 257/256))))) 2) (+.f64 3 (+.f64 (.f64 (cos.f64 y) (-.f64 9/2 (*.f64 3/2 (sqrt.f64 5)))) (/.f64 6 (/.f64 (+.f64 (sqrt.f64 5) 1) (cos.f64 x))))))
	37.4b	(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (sqrt.f64 (pow.f64 (+.f64 (cos.f64 x) -1) 2)))))) (-.f64 (+.f64 15/2 (.f64 6 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1)))) (*.f64 3/2 (sqrt.f64 5))))
✓	0.5b	(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
	25.1b	(/.f64 (+.f64 2 (.f64 (.f64 (pow.f64 (sin.f64 x) 2) (.f64 -1/16 (sqrt.f64 2))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (/.f64 4 (+.f64 3 (sqrt.f64 5))) 2) (cos.f64 y)))))
	24.3b	(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (sin.f64 x)) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (pow.f64 (cbrt.f64 (.f64 (.f64 1/2 (cos.f64 x)) (+.f64 (sqrt.f64 5) -1))) 3)) (*.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
	26.3b	(.f64 1/3 (/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2))))) (+.f64 1 (+.f64 (.f64 1/2 (-.f64 (sqrt.f64 5) 1)) (.f64 2 (/.f64 (cos.f64 y) (+.f64 (sqrt.f64 5) 3)))))))
	25.0b	(/.f64 (+.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) 1) (.f64 (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x)) (+.f64 (.f64 -1/16 (sin.f64 x)) (sin.f64 y))))) 2) (+.f64 3 (+.f64 (.f64 (cos.f64 y) (-.f64 9/2 (*.f64 3/2 (sqrt.f64 5)))) (/.f64 6 (/.f64 (+.f64 (sqrt.f64 5) 1) (cos.f64 x))))))
	24.0b	(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 1 (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
	35.7b	(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (sin.f64 x)) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 1 (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
	0.5b	(/.f64 (+.f64 2 (.f64 (.f64 (pow.f64 (log.f64 (exp.f64 (cbrt.f64 (.f64 (sqrt.f64 2) (fma.f64 (sin.f64 y) -1/16 (sin.f64 x)))))) 3) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (log1p.f64 (expm1.f64 (-.f64 (cos.f64 x) (cos.f64 y)))))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
	1.2b	(/.f64 (+.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x)) (+.f64 (.f64 -1/16 (sin.f64 x)) (sin.f64 y))))) 2) (+.f64 3 (+.f64 (.f64 (cos.f64 y) (fma.f64 (pow.f64 (cbrt.f64 (neg.f64 (sqrt.f64 45/4))) 2) (cbrt.f64 (neg.f64 (sqrt.f64 45/4))) 9/2)) (/.f64 6 (/.f64 (+.f64 (sqrt.f64 5) 1) (cos.f64 x))))))
	24.1b	(/.f64 (+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2)))) 2) (+.f64 3 (+.f64 (.f64 (cos.f64 y) (-.f64 9/2 (*.f64 3/2 (sqrt.f64 5)))) (/.f64 6 (/.f64 (+.f64 (sqrt.f64 5) 1) (cos.f64 x))))))
	25.2b	(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (sin.f64 x)) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) 1))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
	25.1b	(/.f64 (+.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 -1/16 (pow.f64 (sin.f64 x) 2)))) 2) (+.f64 3 (+.f64 (.f64 (cos.f64 y) (-.f64 9/2 (*.f64 3/2 (sqrt.f64 5)))) (/.f64 6 (/.f64 (+.f64 (sqrt.f64 5) 1) (cos.f64 x))))))
	24.1b	(.f64 1/3 (/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (pow.f64 (sin.f64 y) 2))))) (+.f64 1 (+.f64 (.f64 1/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))) (*.f64 2 (/.f64 (cos.f64 y) (+.f64 (sqrt.f64 5) 3)))))))
	1.3b	(.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 (sqrt.f64 2) (.f64 (fma.f64 -1/16 (sin.f64 x) (sin.f64 y)) (.f64 (fma.f64 (sin.f64 y) -1/16 (sin.f64 x)) (-.f64 (cos.f64 x) (cos.f64 y)))) 2) (fma.f64 (cos.f64 x) (/.f64 1 (fma.f64 1/6 (sqrt.f64 5) 1/6)) (fma.f64 (cos.f64 y) (-.f64 9/2 (.f64 (sqrt.f64 5) 3/2)) 3)))) 2) (cbrt.f64 (/.f64 (fma.f64 (sqrt.f64 2) (.f64 (fma.f64 -1/16 (sin.f64 x) (sin.f64 y)) (.f64 (fma.f64 (sin.f64 y) -1/16 (sin.f64 x)) (-.f64 (cos.f64 x) (cos.f64 y)))) 2) (fma.f64 (cos.f64 x) (/.f64 1 (fma.f64 1/6 (sqrt.f64 5) 1/6)) (fma.f64 (cos.f64 y) (-.f64 9/2 (*.f64 (sqrt.f64 5) 3/2)) 3)))))
	0.4b	(/.f64 (+.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (cbrt.f64 (-.f64 (cos.f64 x) (cos.f64 y))) 3) (.f64 (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x)) (+.f64 (.f64 -1/16 (sin.f64 x)) (sin.f64 y))))) 2) (+.f64 3 (+.f64 (.f64 (cos.f64 y) (-.f64 9/2 (*.f64 3/2 (sqrt.f64 5)))) (/.f64 6 (/.f64 (+.f64 (sqrt.f64 5) 1) (cos.f64 x))))))
	0.4b	(/.f64 (+.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x)) (+.f64 (.f64 -1/16 (sin.f64 x)) (sin.f64 y))))) 2) (+.f64 3 (+.f64 (.f64 (cos.f64 y) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5)))) (.f64 (cos.f64 x) (/.f64 6 (+.f64 1 (sqrt.f64 5)))))))
	35.6b	(/.f64 (+.f64 2 (.f64 (.f64 (sqrt.f64 2) (.f64 -1/16 (pow.f64 (sin.f64 y) 2))) (-.f64 (cos.f64 x) 1))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (/.f64 4 (+.f64 3 (sqrt.f64 5))) 2) (cos.f64 y)))))
	0.4b	(.f64 (fma.f64 (sqrt.f64 2) (.f64 (fma.f64 -1/16 (sin.f64 x) (sin.f64 y)) (.f64 (fma.f64 (sin.f64 y) -1/16 (sin.f64 x)) (-.f64 (cos.f64 x) (cos.f64 y)))) 2) (/.f64 1 (fma.f64 (cos.f64 x) (/.f64 1 (fma.f64 1/6 (sqrt.f64 5) 1/6)) (fma.f64 (cos.f64 y) (-.f64 9/2 (.f64 (sqrt.f64 5) 3/2)) 3))))
	45.1b	(/.f64 (+.f64 2 (.f64 (pow.f64 x 4) (.f64 1/32 (sqrt.f64 2)))) (-.f64 (+.f64 15/2 (.f64 6 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1)))) (.f64 3/2 (sqrt.f64 5))))
	18.5b	(/.f64 (+.f64 2 (.f64 (.f64 (sqrt.f64 (.f64 2 (pow.f64 (+.f64 (sin.f64 x) (.f64 (sin.f64 y) -1/16)) 2))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (*.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
	26.7b	(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (/.f64 6 (/.f64 (+.f64 (sqrt.f64 5) 1) (cos.f64 x)))) (.f64 3/2 (sqrt.f64 5))))
	29.4b	(+.f64 (.f64 -1/16 (/.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))) (-.f64 (+.f64 15/2 (.f64 6 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1)))) (.f64 3/2 (sqrt.f64 5))))) (+.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 y (.f64 (-.f64 (cos.f64 x) 1) (+.f64 (.f64 1/256 (sin.f64 x)) (sin.f64 x))))) (-.f64 (+.f64 15/2 (.f64 6 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1)))) (.f64 3/2 (sqrt.f64 5)))) (.f64 2 (/.f64 1 (-.f64 (+.f64 15/2 (.f64 6 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1)))) (.f64 3/2 (sqrt.f64 5)))))))
	24.1b	(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (sin.f64 x)) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (/.f64 1 (.f64 (/.f64 2 (cos.f64 x)) (/.f64 1 (+.f64 (sqrt.f64 5) -1))))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
	25.2b	(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (sin.f64 x)) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (.f64 (.f64 (sin.f64 (.f64 (-.f64 x y) 1/2)) (sin.f64 (.f64 (+.f64 x y) 1/2))) -2))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))

Compiler

Compiled 3825 to 3118 computations (18.5% saved)

regimes525.0ms (1.6%)

Counts

153 → 1

Calls

Call 1

Inputs
(/.f64 2/3 (+.f64 1 (+.f64 (.f64 1/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))) (*.f64 2 (/.f64 1 (+.f64 (sqrt.f64 5) 3))))))
(/.f64 2/3 (+.f64 1 (fma.f64 (cos.f64 x) (fma.f64 1/2 (sqrt.f64 5) -1/2) (/.f64 2 (+.f64 (sqrt.f64 5) 3)))))
(/.f64 (+.f64 2 (.f64 (pow.f64 x 4) (.f64 1/32 (sqrt.f64 2)))) (-.f64 (+.f64 15/2 (.f64 6 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1)))) (.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (pow.f64 x 4) (.f64 -1/2 (sqrt.f64 2))))) (-.f64 (+.f64 15/2 (.f64 6 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1)))) (*.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (pow.f64 x 4) (.f64 -1/2 (sqrt.f64 2))))) (-.f64 (+.f64 15/2 (.f64 6 (+.f64 (/.f64 1 (+.f64 (sqrt.f64 5) 1)) (.f64 (.f64 x (/.f64 x (+.f64 (sqrt.f64 5) 1))) (+.f64 -1/2 (.f64 (.f64 x x) 1/24)))))) (*.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (/.f64 6 (+.f64 (sqrt.f64 5) 1))) (.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (pow.f64 x 4) (.f64 -1/2 (sqrt.f64 2))))) (+.f64 (/.f64 6 (+.f64 1 (sqrt.f64 5))) (+.f64 (fma.f64 (sqrt.f64 5) -3/2 15/2) (.f64 (.f64 x (/.f64 x (+.f64 1 (sqrt.f64 5)))) (+.f64 -3 (.f64 x (*.f64 x 1/4)))))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (pow.f64 x 4) (.f64 -1/2 (sqrt.f64 2))))) (-.f64 (+.f64 15/2 (pow.f64 (cbrt.f64 (/.f64 6 (/.f64 (+.f64 (sqrt.f64 5) 1) (cos.f64 x)))) 3)) (.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (/.f64 (.f64 6 (cos.f64 x)) (+.f64 (sqrt.f64 5) 1))) (*.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (/.f64 6 (/.f64 (+.f64 (sqrt.f64 5) 1) (cos.f64 x)))) (.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (.f64 6 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1)))) (*.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (.f64 6 (.f64 (/.f64 (cos.f64 x) 4) (+.f64 (sqrt.f64 5) -1)))) (.f64 3/2 (sqrt.f64 5))))
(.f64 1/3 (/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2))))) (+.f64 1 (+.f64 (.f64 1/2 (-.f64 (sqrt.f64 5) 1)) (.f64 2 (/.f64 (cos.f64 y) (+.f64 (sqrt.f64 5) 3)))))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2))))) (+.f64 3 (+.f64 (.f64 6 (/.f64 1 (+.f64 (sqrt.f64 5) 1))) (.f64 (cos.f64 y) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5)))))))
(/.f64 (+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1)))) 2) (+.f64 3 (+.f64 (.f64 (cos.f64 y) (-.f64 9/2 (*.f64 3/2 (sqrt.f64 5)))) (/.f64 6 (/.f64 (+.f64 (sqrt.f64 5) 1) (cos.f64 x))))))
(/.f64 (+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2)))) 2) (+.f64 3 (+.f64 (.f64 (cos.f64 y) (-.f64 9/2 (*.f64 3/2 (sqrt.f64 5)))) (/.f64 6 (/.f64 (+.f64 (sqrt.f64 5) 1) (cos.f64 x))))))
(/.f64 (+.f64 2 (.f64 (.f64 (sqrt.f64 2) (.f64 -1/16 (pow.f64 (sin.f64 y) 2))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 1/2 (-.f64 (sqrt.f64 5) 1))) (.f64 (/.f64 (/.f64 4 (+.f64 3 (sqrt.f64 5))) 2) (cos.f64 y)))))
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(/.f64 (fma.f64 (sqrt.f64 2) (.f64 (+.f64 (sin.f64 y) (.f64 -1/16 (sin.f64 x))) (.f64 (+.f64 (sin.f64 x) (.f64 -1/16 (sin.f64 y))) (-.f64 (cos.f64 x) (cos.f64 y)))) 2) (fma.f64 (cos.f64 x) (/.f64 (+.f64 (sqrt.f64 5) -1) 2/3) (fma.f64 (cos.f64 y) (/.f64 9 (+.f64 9/2 (sqrt.f64 45/4))) 3)))
(/.f64 (fma.f64 (sqrt.f64 2) (.f64 (+.f64 (sin.f64 y) (.f64 -1/16 (sin.f64 x))) (.f64 (+.f64 (sin.f64 x) (.f64 -1/16 (sin.f64 y))) (-.f64 (cos.f64 x) (cos.f64 y)))) 2) (fma.f64 (cos.f64 x) (/.f64 (+.f64 (sqrt.f64 5) -1) 2/3) (fma.f64 (cos.f64 y) (-.f64 9/2 (/.f64 (sqrt.f64 5) 2/3)) 3)))
(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (cbrt.f64 (pow.f64 (.f64 (cos.f64 x) (fma.f64 (sqrt.f64 5) 1/2 -1/2)) 3))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (pow.f64 (cbrt.f64 (.f64 (cos.f64 x) (fma.f64 (sqrt.f64 5) 1/2 -1/2))) 3)) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (log.f64 (+.f64 1 (expm1.f64 (.f64 (fma.f64 (sqrt.f64 5) 1/2 -1/2) (cos.f64 x)))))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (log.f64 (+.f64 1 (expm1.f64 (.f64 (cos.f64 x) (fma.f64 (sqrt.f64 5) 1/2 -1/2)))))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (fma.f64 (sqrt.f64 2) (.f64 (+.f64 (sin.f64 y) (.f64 -1/16 (sin.f64 x))) (.f64 (+.f64 (sin.f64 x) (.f64 -1/16 (sin.f64 y))) (.f64 (.f64 (sin.f64 (.f64 (-.f64 x y) 1/2)) (sin.f64 (.f64 (+.f64 x y) 1/2))) -2))) 2) (fma.f64 (cos.f64 x) (/.f64 (+.f64 (sqrt.f64 5) -1) 2/3) (fma.f64 (cos.f64 y) (-.f64 9/2 (/.f64 (sqrt.f64 5) 2/3)) 3)))
(/.f64 (fma.f64 (sqrt.f64 2) (.f64 (+.f64 (sin.f64 y) (.f64 -1/16 (sin.f64 x))) (.f64 (+.f64 (sin.f64 x) (.f64 -1/16 (sin.f64 y))) (-.f64 (cos.f64 x) (cos.f64 y)))) 2) (fma.f64 (cos.f64 x) (pow.f64 (*.f64 1/6 (+.f64 (sqrt.f64 5) 1)) -1) (fma.f64 (cos.f64 y) (-.f64 9/2 (/.f64 (sqrt.f64 5) 2/3)) 3)))
(/.f64 (+.f64 (pow.f64 (cbrt.f64 (.f64 (.f64 (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)) (fma.f64 -1/16 (sin.f64 x) (sin.f64 y))) (.f64 (sqrt.f64 2) (-.f64 (cos.f64 x) (cos.f64 y))))) 3) 2) (+.f64 3 (+.f64 (.f64 (cos.f64 y) (-.f64 9/2 (*.f64 3/2 (sqrt.f64 5)))) (/.f64 6 (/.f64 (+.f64 (sqrt.f64 5) 1) (cos.f64 x))))))
(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (pow.f64 (.f64 (cbrt.f64 (cos.f64 x)) (cbrt.f64 (fma.f64 (sqrt.f64 5) 1/2 -1/2))) 3)) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (-.f64 (exp.f64 (log1p.f64 (.f64 (sqrt.f64 2) (.f64 (fma.f64 (sin.f64 y) -1/16 (sin.f64 x)) (fma.f64 (sin.f64 x) -1/16 (sin.f64 y)))))) 1) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (/.f64 4 (+.f64 3 (sqrt.f64 5))) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (cbrt.f64 (.f64 (pow.f64 (fma.f64 (sqrt.f64 5) 1/2 -1/2) 3) (pow.f64 (cos.f64 x) 3)))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 (sqrt.f64 2) (+.f64 (sin.f64 x) (.f64 (sin.f64 y) -1/16)))) 3) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (log1p.f64 (expm1.f64 (-.f64 (cos.f64 x) (cos.f64 y)))))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (*.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 (sqrt.f64 2) (+.f64 (sin.f64 x) (.f64 (sin.f64 y) -1/16)))) 3) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (*.f64 (/.f64 (log.f64 (exp.f64 (-.f64 3 (sqrt.f64 5)))) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (/.f64 (-.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 y) 2)) (+.f64 (cos.f64 x) (cos.f64 y))))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (fma.f64 (sqrt.f64 2) (.f64 (+.f64 (sin.f64 y) (.f64 -1/16 (sin.f64 x))) (.f64 (+.f64 (sin.f64 x) (.f64 -1/16 (sin.f64 y))) (expm1.f64 (log1p.f64 (-.f64 (cos.f64 x) (cos.f64 y)))))) 2) (fma.f64 (cos.f64 x) (/.f64 (+.f64 (sqrt.f64 5) -1) 2/3) (fma.f64 (cos.f64 y) (-.f64 9/2 (/.f64 (sqrt.f64 5) 2/3)) 3)))
(/.f64 (fma.f64 (sqrt.f64 2) (.f64 (+.f64 (sin.f64 y) (.f64 -1/16 (sin.f64 x))) (.f64 (+.f64 (sin.f64 x) (.f64 -1/16 (sin.f64 y))) (-.f64 (cos.f64 x) (cos.f64 y)))) 2) (fma.f64 (cos.f64 x) (expm1.f64 (log1p.f64 (*.f64 (+.f64 (sqrt.f64 5) -1) 3/2))) (fma.f64 (cos.f64 y) (-.f64 9/2 (/.f64 (sqrt.f64 5) 2/3)) 3)))
(/.f64 (fma.f64 (sqrt.f64 2) (.f64 (+.f64 (sin.f64 y) (.f64 -1/16 (sin.f64 x))) (.f64 (+.f64 (sin.f64 x) (.f64 -1/16 (sin.f64 y))) (pow.f64 (cbrt.f64 (-.f64 (cos.f64 x) (cos.f64 y))) 3))) 2) (fma.f64 (cos.f64 x) (/.f64 (+.f64 (sqrt.f64 5) -1) 2/3) (fma.f64 (cos.f64 y) (-.f64 9/2 (/.f64 (sqrt.f64 5) 2/3)) 3)))
(/.f64 (+.f64 2 (.f64 (log.f64 (pow.f64 (exp.f64 (sqrt.f64 2)) (.f64 (fma.f64 (sin.f64 y) -1/16 (sin.f64 x)) (fma.f64 (sin.f64 x) -1/16 (sin.f64 y))))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (*.f64 (/.f64 (/.f64 4 (+.f64 3 (sqrt.f64 5))) 2) (cos.f64 y)))))
(/.f64 (+.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x)) (+.f64 (.f64 -1/16 (sin.f64 x)) (sin.f64 y))))) 2) (+.f64 3 (+.f64 (.f64 (cos.f64 y) (fma.f64 (pow.f64 (cbrt.f64 (neg.f64 (sqrt.f64 45/4))) 2) (cbrt.f64 (neg.f64 (sqrt.f64 45/4))) 9/2)) (/.f64 6 (/.f64 (+.f64 (sqrt.f64 5) 1) (cos.f64 x))))))
(/.f64 (+.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x)) (+.f64 (.f64 -1/16 (sin.f64 x)) (sin.f64 y))))) 2) (+.f64 3 (+.f64 (.f64 (cos.f64 y) (fma.f64 (pow.f64 (cbrt.f64 (neg.f64 (sqrt.f64 45/4))) 2) (cbrt.f64 (neg.f64 (sqrt.f64 45/4))) 9/2)) (*.f64 6 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1))))))
(/.f64 (+.f64 2 (.f64 (.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (sqrt.f64 2) (fma.f64 (sin.f64 y) -1/16 (sin.f64 x))))) 3) 3) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (.f64 (fma.f64 (sqrt.f64 5) 1/2 -1/2) (pow.f64 (cbrt.f64 (cos.f64 x)) 2)) (cbrt.f64 (cos.f64 x)))) (*.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(.f64 (fma.f64 (sqrt.f64 2) (.f64 (fma.f64 -1/16 (sin.f64 x) (sin.f64 y)) (.f64 (fma.f64 (sin.f64 y) -1/16 (sin.f64 x)) (-.f64 (cos.f64 x) (cos.f64 y)))) 2) (/.f64 1 (fma.f64 (cos.f64 x) (/.f64 1 (fma.f64 1/6 (sqrt.f64 5) 1/6)) (fma.f64 (cos.f64 y) (-.f64 9/2 (.f64 (sqrt.f64 5) 3/2)) 3))))
(/.f64 (fma.f64 (sqrt.f64 2) (.f64 (+.f64 (sin.f64 y) (.f64 -1/16 (sin.f64 x))) (-.f64 (exp.f64 (log1p.f64 (*.f64 (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)) (-.f64 (cos.f64 x) (cos.f64 y))))) 1)) 2) (fma.f64 (cos.f64 x) (/.f64 (+.f64 (sqrt.f64 5) -1) 2/3) (fma.f64 (cos.f64 y) (-.f64 9/2 (/.f64 (sqrt.f64 5) 2/3)) 3)))
(/.f64 (fma.f64 (sqrt.f64 2) (.f64 (+.f64 (sin.f64 y) (.f64 -1/16 (sin.f64 x))) (log.f64 (+.f64 1 (expm1.f64 (*.f64 (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)) (-.f64 (cos.f64 x) (cos.f64 y))))))) 2) (fma.f64 (cos.f64 x) (/.f64 (+.f64 (sqrt.f64 5) -1) 2/3) (fma.f64 (cos.f64 y) (-.f64 9/2 (/.f64 (sqrt.f64 5) 2/3)) 3)))
(+.f64 (.f64 -1/16 (/.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))) (-.f64 (+.f64 15/2 (.f64 6 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1)))) (.f64 3/2 (sqrt.f64 5))))) (+.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 y (.f64 (-.f64 (cos.f64 x) 1) (+.f64 (.f64 1/256 (sin.f64 x)) (sin.f64 x))))) (-.f64 (+.f64 15/2 (.f64 6 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1)))) (.f64 3/2 (sqrt.f64 5)))) (.f64 2 (/.f64 1 (-.f64 (+.f64 15/2 (.f64 6 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1)))) (.f64 3/2 (sqrt.f64 5)))))))
(pow.f64 (/.f64 (fma.f64 (cos.f64 x) (/.f64 1 (fma.f64 1/6 (sqrt.f64 5) 1/6)) (fma.f64 (cos.f64 y) (-.f64 9/2 (.f64 (sqrt.f64 5) 3/2)) 3)) (fma.f64 (sqrt.f64 2) (.f64 (fma.f64 -1/16 (sin.f64 x) (sin.f64 y)) (*.f64 (fma.f64 (sin.f64 y) -1/16 (sin.f64 x)) (-.f64 (cos.f64 x) (cos.f64 y)))) 2)) -1)
(/.f64 (fma.f64 (sqrt.f64 2) (.f64 (+.f64 (sin.f64 y) (.f64 -1/16 (sin.f64 x))) (.f64 (+.f64 (sin.f64 x) (.f64 -1/16 (sin.f64 y))) (-.f64 (cos.f64 x) (cos.f64 y)))) 2) (fma.f64 (cos.f64 x) (.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 5) -1)) 2) (.f64 (cbrt.f64 (+.f64 (sqrt.f64 5) -1)) 3/2)) (fma.f64 (cos.f64 y) (-.f64 9/2 (/.f64 (sqrt.f64 5) 2/3)) 3)))
(/.f64 (+.f64 2 (.f64 (.f64 (pow.f64 (log.f64 (exp.f64 (cbrt.f64 (.f64 (sqrt.f64 2) (fma.f64 (sin.f64 y) -1/16 (sin.f64 x)))))) 3) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (log1p.f64 (expm1.f64 (-.f64 (cos.f64 x) (cos.f64 y)))))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (fma.f64 (sqrt.f64 2) (.f64 (+.f64 (sin.f64 y) (.f64 -1/16 (sin.f64 x))) (.f64 (+.f64 (sin.f64 x) (.f64 -1/16 (sin.f64 y))) (-.f64 (cos.f64 x) (cos.f64 y)))) 2) (fma.f64 (cos.f64 x) (.f64 (pow.f64 (cbrt.f64 (.f64 (+.f64 (sqrt.f64 5) -1) 3/2)) 2) (cbrt.f64 (*.f64 (+.f64 (sqrt.f64 5) -1) 3/2))) (fma.f64 (cos.f64 y) (-.f64 9/2 (/.f64 (sqrt.f64 5) 2/3)) 3)))
(log.f64 (exp.f64 (/.f64 (fma.f64 (sqrt.f64 2) (.f64 (fma.f64 -1/16 (sin.f64 x) (sin.f64 y)) (.f64 (fma.f64 (sin.f64 y) -1/16 (sin.f64 x)) (-.f64 (cos.f64 x) (cos.f64 y)))) 2) (fma.f64 (cos.f64 x) (/.f64 1 (fma.f64 1/6 (sqrt.f64 5) 1/6)) (fma.f64 (cos.f64 y) (-.f64 9/2 (*.f64 (sqrt.f64 5) 3/2)) 3)))))
(exp.f64 (log.f64 (/.f64 (fma.f64 (sqrt.f64 2) (.f64 (fma.f64 -1/16 (sin.f64 x) (sin.f64 y)) (.f64 (fma.f64 (sin.f64 y) -1/16 (sin.f64 x)) (-.f64 (cos.f64 x) (cos.f64 y)))) 2) (fma.f64 (cos.f64 x) (/.f64 1 (fma.f64 1/6 (sqrt.f64 5) 1/6)) (fma.f64 (cos.f64 y) (-.f64 9/2 (*.f64 (sqrt.f64 5) 3/2)) 3)))))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 (sqrt.f64 2) (.f64 (fma.f64 -1/16 (sin.f64 x) (sin.f64 y)) (.f64 (fma.f64 (sin.f64 y) -1/16 (sin.f64 x)) (-.f64 (cos.f64 x) (cos.f64 y)))) 2) (fma.f64 (cos.f64 x) (/.f64 1 (fma.f64 1/6 (sqrt.f64 5) 1/6)) (fma.f64 (cos.f64 y) (-.f64 9/2 (.f64 (sqrt.f64 5) 3/2)) 3)))) 2) (cbrt.f64 (/.f64 (fma.f64 (sqrt.f64 2) (.f64 (fma.f64 -1/16 (sin.f64 x) (sin.f64 y)) (.f64 (fma.f64 (sin.f64 y) -1/16 (sin.f64 x)) (-.f64 (cos.f64 x) (cos.f64 y)))) 2) (fma.f64 (cos.f64 x) (/.f64 1 (fma.f64 1/6 (sqrt.f64 5) 1/6)) (fma.f64 (cos.f64 y) (-.f64 9/2 (*.f64 (sqrt.f64 5) 3/2)) 3)))))

Outputs

(/.f64 (+.f64 (*.f64 (sqrt.f64 2) (*.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (*.f64 (+.f64 (*.f64 -1/16 (sin.f64 y)) (sin.f64 x)) (+.f64 (*.f64 -1/16 (sin.f64 x)) (sin.f64 y))))) 2) (+.f64 3 (+.f64 (*.f64 (cos.f64 y) (-.f64 9/2 (*.f64 3/2 (sqrt.f64 5)))) (*.f64 (cos.f64 x) (/.f64 6 (+.f64 1 (sqrt.f64 5)))))))

Calls

3 calls:

86.0ms

81.0ms

65.0ms

(/.f64 (+.f64 2 (*.f64 (*.f64 (*.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))) (*.f64 3 (+.f64 (+.f64 1 (*.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (*.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))

Results

Error	Segments	Branch
0.4b	1	`x`
0.4b	1	`y`
0.4b	1	`(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))`

Compiler

Compiled 7143 to 5047 computations (29.3% saved)

regimes208.0ms (0.6%)

Counts

81 → 1

Calls

Call 1

Inputs
(/.f64 2/3 (+.f64 1 (+.f64 (.f64 1/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))) (*.f64 2 (/.f64 1 (+.f64 (sqrt.f64 5) 3))))))
(/.f64 2/3 (+.f64 1 (fma.f64 (cos.f64 x) (fma.f64 1/2 (sqrt.f64 5) -1/2) (/.f64 2 (+.f64 (sqrt.f64 5) 3)))))
(/.f64 (+.f64 2 (.f64 (pow.f64 x 4) (.f64 1/32 (sqrt.f64 2)))) (-.f64 (+.f64 15/2 (.f64 6 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1)))) (.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (pow.f64 x 4) (.f64 -1/2 (sqrt.f64 2))))) (-.f64 (+.f64 15/2 (.f64 6 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1)))) (*.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (pow.f64 x 4) (.f64 -1/2 (sqrt.f64 2))))) (-.f64 (+.f64 15/2 (.f64 6 (+.f64 (/.f64 1 (+.f64 (sqrt.f64 5) 1)) (.f64 (.f64 x (/.f64 x (+.f64 (sqrt.f64 5) 1))) (+.f64 -1/2 (.f64 (.f64 x x) 1/24)))))) (*.f64 3/2 (sqrt.f64 5))))
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(/.f64 (+.f64 2 (.f64 (.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) (sin.f64 y))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (*.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 (.f64 (+.f64 (cos.f64 x) -1) (+.f64 (.f64 (sqrt.f64 2) (.f64 -1/16 (pow.f64 (sin.f64 x) 2))) (.f64 (sqrt.f64 2) (.f64 y (.f64 (sin.f64 x) 257/256))))) 2) (+.f64 3 (+.f64 (.f64 (cos.f64 y) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5)))) (/.f64 6 (/.f64 (+.f64 (sqrt.f64 5) 1) (cos.f64 x))))))
(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (sin.f64 x)) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (/.f64 1 (.f64 (/.f64 2 (cos.f64 x)) (/.f64 1 (+.f64 (sqrt.f64 5) -1))))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (+.f64 (sin.f64 x) (.f64 y -1/16))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (*.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) 1))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 1 (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (+.f64 (sin.f64 x) (.f64 y -1/16))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (*.f64 (/.f64 (/.f64 4 (+.f64 3 (sqrt.f64 5))) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (sin.f64 x)) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (.f64 (.f64 (sin.f64 (.f64 (-.f64 x y) 1/2)) (sin.f64 (.f64 (+.f64 x y) 1/2))) -2))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (sin.f64 x)) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (.f64 (.f64 (sin.f64 (.f64 (-.f64 x y) 1/2)) (sin.f64 (.f64 (+.f64 x y) 1/2))) -2))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (.f64 6 (.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) 1) (/.f64 (cbrt.f64 (cos.f64 x)) (+.f64 (sqrt.f64 5) 1))))) (.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 (.f64 (sqrt.f64 2) (.f64 -1/16 (pow.f64 (sin.f64 y) 2))) (expm1.f64 (log1p.f64 (-.f64 (cos.f64 x) (cos.f64 y)))))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (/.f64 4 (+.f64 3 (sqrt.f64 5))) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (.f64 (sqrt.f64 2) (.f64 -1/16 (pow.f64 (sin.f64 y) 2))) (pow.f64 (cbrt.f64 (-.f64 (cos.f64 x) (cos.f64 y))) 3))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (/.f64 4 (+.f64 3 (sqrt.f64 5))) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (.f64 (sqrt.f64 2) (.f64 -1/16 (pow.f64 (sin.f64 y) 2))) (sqrt.f64 (pow.f64 (-.f64 (cos.f64 x) (cos.f64 y)) 2)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (/.f64 4 (+.f64 3 (sqrt.f64 5))) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (-.f64 (exp.f64 (log1p.f64 (.f64 (sqrt.f64 2) (.f64 -1/16 (pow.f64 (sin.f64 y) 2))))) 1) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (/.f64 4 (+.f64 3 (sqrt.f64 5))) 2) (cos.f64 y)))))
(/.f64 (+.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x)) (+.f64 (.f64 -1/16 (sin.f64 x)) (sin.f64 y))))) 2) (+.f64 3 (+.f64 (.f64 (cos.f64 y) (+.f64 (neg.f64 (sqrt.f64 45/4)) 9/2)) (/.f64 6 (/.f64 (+.f64 (sqrt.f64 5) 1) (cos.f64 x))))))
(/.f64 (+.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x)) (+.f64 (.f64 -1/16 (sin.f64 x)) (sin.f64 y))))) 2) (+.f64 3 (+.f64 (.f64 (cos.f64 y) (+.f64 (neg.f64 (sqrt.f64 45/4)) 9/2)) (*.f64 6 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1))))))
(/.f64 (+.f64 2 (.f64 (.f64 (sqrt.f64 (.f64 2 (pow.f64 (sin.f64 x) 2))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x)) (+.f64 (.f64 -1/16 (sin.f64 x)) (sin.f64 y))))) 2) (+.f64 3 (+.f64 (.f64 (cos.f64 y) (/.f64 9 (+.f64 9/2 (sqrt.f64 45/4)))) (/.f64 6 (/.f64 (+.f64 (sqrt.f64 5) 1) (cos.f64 x))))))

Outputs

(/.f64 (+.f64 (*.f64 (sqrt.f64 2) (*.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (*.f64 (+.f64 (*.f64 -1/16 (sin.f64 y)) (sin.f64 x)) (+.f64 (*.f64 -1/16 (sin.f64 x)) (sin.f64 y))))) 2) (+.f64 3 (+.f64 (*.f64 (cos.f64 y) (+.f64 (neg.f64 (sqrt.f64 45/4)) 9/2)) (/.f64 6 (/.f64 (+.f64 (sqrt.f64 5) 1) (cos.f64 x))))))

Calls

2 calls:

74.0ms	x
43.0ms	y

Results

Error	Segments	Branch
0.4b	1	`x`
0.4b	1	`y`

Compiler

Compiled 3386 to 2536 computations (25.1% saved)

regimes358.0ms (1.1%)

Counts

77 → 3

Calls

Call 1

Inputs
(/.f64 2/3 (+.f64 1 (+.f64 (.f64 1/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))) (*.f64 2 (/.f64 1 (+.f64 (sqrt.f64 5) 3))))))
(/.f64 2/3 (+.f64 1 (fma.f64 (cos.f64 x) (fma.f64 1/2 (sqrt.f64 5) -1/2) (/.f64 2 (+.f64 (sqrt.f64 5) 3)))))
(/.f64 (+.f64 2 (.f64 (pow.f64 x 4) (.f64 1/32 (sqrt.f64 2)))) (-.f64 (+.f64 15/2 (.f64 6 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1)))) (.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (pow.f64 x 4) (.f64 -1/2 (sqrt.f64 2))))) (-.f64 (+.f64 15/2 (.f64 6 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1)))) (*.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (pow.f64 x 4) (.f64 -1/2 (sqrt.f64 2))))) (-.f64 (+.f64 15/2 (.f64 6 (+.f64 (/.f64 1 (+.f64 (sqrt.f64 5) 1)) (.f64 (.f64 x (/.f64 x (+.f64 (sqrt.f64 5) 1))) (+.f64 -1/2 (.f64 (.f64 x x) 1/24)))))) (*.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (/.f64 6 (+.f64 (sqrt.f64 5) 1))) (.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (pow.f64 x 4) (.f64 -1/2 (sqrt.f64 2))))) (+.f64 (/.f64 6 (+.f64 1 (sqrt.f64 5))) (+.f64 (fma.f64 (sqrt.f64 5) -3/2 15/2) (.f64 (.f64 x (/.f64 x (+.f64 1 (sqrt.f64 5)))) (+.f64 -3 (.f64 x (*.f64 x 1/4)))))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (pow.f64 x 4) (.f64 -1/2 (sqrt.f64 2))))) (-.f64 (+.f64 15/2 (pow.f64 (cbrt.f64 (/.f64 6 (/.f64 (+.f64 (sqrt.f64 5) 1) (cos.f64 x)))) 3)) (.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (/.f64 (.f64 6 (cos.f64 x)) (+.f64 (sqrt.f64 5) 1))) (*.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (/.f64 6 (/.f64 (+.f64 (sqrt.f64 5) 1) (cos.f64 x)))) (.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (.f64 6 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1)))) (*.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (.f64 6 (.f64 (/.f64 (cos.f64 x) 4) (+.f64 (sqrt.f64 5) -1)))) (.f64 3/2 (sqrt.f64 5))))
(.f64 1/3 (/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2))))) (+.f64 1 (+.f64 (.f64 1/2 (-.f64 (sqrt.f64 5) 1)) (.f64 2 (/.f64 (cos.f64 y) (+.f64 (sqrt.f64 5) 3)))))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2))))) (+.f64 3 (+.f64 (.f64 6 (/.f64 1 (+.f64 (sqrt.f64 5) 1))) (.f64 (cos.f64 y) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5)))))))
(/.f64 (+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1)))) 2) (+.f64 3 (+.f64 (.f64 (cos.f64 y) (-.f64 9/2 (*.f64 3/2 (sqrt.f64 5)))) (/.f64 6 (/.f64 (+.f64 (sqrt.f64 5) 1) (cos.f64 x))))))
(/.f64 (+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2)))) 2) (+.f64 3 (+.f64 (.f64 (cos.f64 y) (-.f64 9/2 (*.f64 3/2 (sqrt.f64 5)))) (/.f64 6 (/.f64 (+.f64 (sqrt.f64 5) 1) (cos.f64 x))))))
(/.f64 (+.f64 2 (.f64 (.f64 (sqrt.f64 2) (.f64 -1/16 (pow.f64 (sin.f64 y) 2))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 1/2 (-.f64 (sqrt.f64 5) 1))) (.f64 (/.f64 (/.f64 4 (+.f64 3 (sqrt.f64 5))) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (.f64 (sqrt.f64 2) (.f64 -1/16 (pow.f64 (sin.f64 y) 2))) (-.f64 1 (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (/.f64 4 (+.f64 3 (sqrt.f64 5))) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (.f64 (sqrt.f64 2) (.f64 -1/16 (pow.f64 (sin.f64 y) 2))) (-.f64 (cos.f64 x) 1))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (/.f64 4 (+.f64 3 (sqrt.f64 5))) 2) (cos.f64 y)))))
(/.f64 (+.f64 (.f64 (.f64 (sqrt.f64 2) (-.f64 1 (cos.f64 y))) (.f64 (sin.f64 y) (+.f64 (.f64 x 257/256) (.f64 -1/16 (sin.f64 y))))) 2) (+.f64 3 (+.f64 (.f64 (cos.f64 y) (-.f64 9/2 (*.f64 3/2 (sqrt.f64 5)))) (/.f64 6 (/.f64 (+.f64 (sqrt.f64 5) 1) (cos.f64 x))))))
(/.f64 (+.f64 2/3 (.f64 (.f64 (sqrt.f64 2) (*.f64 (pow.f64 (sin.f64 y) 2) (-.f64 1 (cos.f64 y)))) -1/48)) (fma.f64 2 (/.f64 (cos.f64 y) (+.f64 (sqrt.f64 5) 3)) (+.f64 1 (fma.f64 1/2 (sqrt.f64 5) -1/2))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (log1p.f64 (expm1.f64 (/.f64 6 (/.f64 (+.f64 (sqrt.f64 5) 1) (cos.f64 x)))))) (.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (.f64 6 (log.f64 (exp.f64 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1)))))) (*.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (log.f64 (exp.f64 (/.f64 6 (/.f64 (+.f64 (sqrt.f64 5) 1) (cos.f64 x)))))) (.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (cbrt.f64 (pow.f64 (/.f64 6 (/.f64 (+.f64 (sqrt.f64 5) 1) (cos.f64 x))) 3))) (.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 (cos.f64 x) -1)) 3))))) (-.f64 (+.f64 15/2 (.f64 6 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1)))) (*.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (.f64 6 (pow.f64 (cbrt.f64 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1))) 3))) (*.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (sqrt.f64 (pow.f64 (+.f64 (cos.f64 x) -1) 2)))))) (-.f64 (+.f64 15/2 (.f64 6 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1)))) (*.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (pow.f64 (cbrt.f64 (/.f64 6 (/.f64 (+.f64 (sqrt.f64 5) 1) (cos.f64 x)))) 3)) (.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (.f64 6 (-.f64 (exp.f64 (log1p.f64 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1)))) 1))) (*.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (.f64 6 (log.f64 (+.f64 1 (expm1.f64 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1))))))) (*.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 -1/16 (pow.f64 (sin.f64 y) 2)))) 2) (+.f64 3 (+.f64 (.f64 (cos.f64 y) (-.f64 9/2 (*.f64 3/2 (sqrt.f64 5)))) (/.f64 6 (/.f64 (+.f64 (sqrt.f64 5) 1) (cos.f64 x))))))
(/.f64 (+.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 -1/16 (pow.f64 (sin.f64 x) 2)))) 2) (+.f64 3 (+.f64 (.f64 (cos.f64 y) (-.f64 9/2 (*.f64 3/2 (sqrt.f64 5)))) (/.f64 6 (/.f64 (+.f64 (sqrt.f64 5) 1) (cos.f64 x))))))
(/.f64 (+.f64 2 (.f64 (.f64 (pow.f64 (sin.f64 x) 2) (.f64 -1/16 (sqrt.f64 2))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(.f64 1/3 (/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (pow.f64 (sin.f64 y) 2))))) (+.f64 1 (+.f64 (.f64 1/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))) (*.f64 2 (/.f64 (cos.f64 y) (+.f64 (sqrt.f64 5) 3)))))))
(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (sin.f64 x)) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 1/2 (-.f64 (sqrt.f64 5) 1))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (sin.f64 x)) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 1/2 (-.f64 (sqrt.f64 5) 1))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (.f64 (sqrt.f64 2) (.f64 -1/16 (pow.f64 (sin.f64 y) 2))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (/.f64 4 (+.f64 3 (sqrt.f64 5))) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (.f64 (pow.f64 (sin.f64 x) 2) (.f64 -1/16 (sqrt.f64 2))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (/.f64 4 (+.f64 3 (sqrt.f64 5))) 2) (cos.f64 y)))))
(/.f64 (+.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (sin.f64 x) (+.f64 (.f64 -1/16 (sin.f64 x)) (.f64 y 257/256))))) 2) (+.f64 3 (+.f64 (.f64 (cos.f64 y) (-.f64 9/2 (*.f64 3/2 (sqrt.f64 5)))) (/.f64 6 (/.f64 (+.f64 (sqrt.f64 5) 1) (cos.f64 x))))))
(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (sin.f64 x)) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 1 (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (sin.f64 x)) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 1 (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (sin.f64 x)) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) 1))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (sin.f64 x)) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) 1))) (.f64 3 (+.f64 (+.f64 1 (/.f64 1 (/.f64 2 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1))))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (+.f64 (sin.f64 x) (.f64 y -1/16))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) 1))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (*.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (sin.f64 y)) (+.f64 (.f64 x 257/256) (.f64 -1/16 (sin.f64 y)))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (/.f64 4 (+.f64 3 (sqrt.f64 5))) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (.f64 (sin.f64 x) (.f64 (sqrt.f64 2) (+.f64 (.f64 -1/16 (sin.f64 x)) (.f64 y 257/256)))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (/.f64 4 (+.f64 3 (sqrt.f64 5))) 2) (cos.f64 y)))))
(/.f64 (fma.f64 (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2)) (.f64 -1/16 (sqrt.f64 2)) 2) (+.f64 (/.f64 6 (+.f64 1 (sqrt.f64 5))) (fma.f64 (fma.f64 (sqrt.f64 5) -3/2 9/2) (cos.f64 y) 3)))
(/.f64 (+.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x)) (+.f64 (.f64 -1/16 (sin.f64 x)) (sin.f64 y))))) 2) (+.f64 3 (+.f64 (.f64 (cos.f64 y) (-.f64 9/2 (*.f64 3/2 (sqrt.f64 5)))) (/.f64 6 (+.f64 (sqrt.f64 5) 1)))))
(/.f64 (+.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x)) (+.f64 (.f64 -1/16 (sin.f64 x)) (sin.f64 y))))) 2) (+.f64 3 (+.f64 (.f64 (cos.f64 y) (-.f64 9/2 (*.f64 3/2 (sqrt.f64 5)))) (/.f64 6 (+.f64 (sqrt.f64 5) 1)))))
(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (sin.f64 x)) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (/.f64 (cos.f64 x) (.f64 1/2 (+.f64 (sqrt.f64 5) 1)))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (sin.f64 x)) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (/.f64 (+.f64 (sqrt.f64 5) -1) (/.f64 2 (cos.f64 x)))) (*.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (sin.f64 x)) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (.f64 (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x)) (+.f64 (.f64 -1/16 (sin.f64 x)) (sin.f64 y))))) 2) (+.f64 3 (+.f64 (.f64 (cos.f64 y) (-.f64 9/2 (*.f64 3/2 (sqrt.f64 5)))) (/.f64 6 (/.f64 (+.f64 (sqrt.f64 5) 1) (cos.f64 x))))))
(/.f64 (+.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) 1) (.f64 (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x)) (+.f64 (.f64 -1/16 (sin.f64 x)) (sin.f64 y))))) 2) (+.f64 3 (+.f64 (.f64 (cos.f64 y) (-.f64 9/2 (*.f64 3/2 (sqrt.f64 5)))) (/.f64 6 (/.f64 (+.f64 (sqrt.f64 5) 1) (cos.f64 x))))))
(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (sin.f64 x)) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 1 (/.f64 2 (cos.f64 x))) (+.f64 (sqrt.f64 5) -1))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (.f64 (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x)) (+.f64 (.f64 -1/16 (sin.f64 x)) (sin.f64 y))))) 2) (+.f64 3 (+.f64 (.f64 (cos.f64 y) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5)))) (.f64 6 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1))))))
(/.f64 (+.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) 1) (.f64 (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x)) (+.f64 (.f64 -1/16 (sin.f64 x)) (sin.f64 y))))) 2) (+.f64 3 (+.f64 (.f64 (cos.f64 y) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5)))) (.f64 6 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1))))))
(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (sin.f64 x)) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (/.f64 1 (/.f64 2 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1))))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (sin.f64 x)) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (/.f64 4 (+.f64 3 (sqrt.f64 5))) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (-.f64 (.f64 1/2 (sqrt.f64 5)) 1/2)) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (.f64 -1/16 (sin.f64 y))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (*.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 1/2 (-.f64 (sqrt.f64 5) 1))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) (sin.f64 y))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (*.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 (.f64 (+.f64 (cos.f64 x) -1) (+.f64 (.f64 (sqrt.f64 2) (.f64 -1/16 (pow.f64 (sin.f64 x) 2))) (.f64 (sqrt.f64 2) (.f64 y (.f64 (sin.f64 x) 257/256))))) 2) (+.f64 3 (+.f64 (.f64 (cos.f64 y) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5)))) (/.f64 6 (/.f64 (+.f64 (sqrt.f64 5) 1) (cos.f64 x))))))
(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (sin.f64 x)) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (/.f64 1 (.f64 (/.f64 2 (cos.f64 x)) (/.f64 1 (+.f64 (sqrt.f64 5) -1))))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (+.f64 (sin.f64 x) (.f64 y -1/16))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (*.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) 1))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 1 (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (+.f64 (sin.f64 x) (.f64 y -1/16))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (*.f64 (/.f64 (/.f64 4 (+.f64 3 (sqrt.f64 5))) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (sin.f64 x)) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (.f64 (.f64 (sin.f64 (.f64 (-.f64 x y) 1/2)) (sin.f64 (.f64 (+.f64 x y) 1/2))) -2))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (sin.f64 x)) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (.f64 (.f64 (sin.f64 (.f64 (-.f64 x y) 1/2)) (sin.f64 (.f64 (+.f64 x y) 1/2))) -2))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (.f64 6 (.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) 1) (/.f64 (cbrt.f64 (cos.f64 x)) (+.f64 (sqrt.f64 5) 1))))) (.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 (.f64 (sqrt.f64 2) (.f64 -1/16 (pow.f64 (sin.f64 y) 2))) (expm1.f64 (log1p.f64 (-.f64 (cos.f64 x) (cos.f64 y)))))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (/.f64 4 (+.f64 3 (sqrt.f64 5))) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (.f64 (sqrt.f64 2) (.f64 -1/16 (pow.f64 (sin.f64 y) 2))) (pow.f64 (cbrt.f64 (-.f64 (cos.f64 x) (cos.f64 y))) 3))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (/.f64 4 (+.f64 3 (sqrt.f64 5))) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (.f64 (sqrt.f64 2) (.f64 -1/16 (pow.f64 (sin.f64 y) 2))) (sqrt.f64 (pow.f64 (-.f64 (cos.f64 x) (cos.f64 y)) 2)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (/.f64 4 (+.f64 3 (sqrt.f64 5))) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (-.f64 (exp.f64 (log1p.f64 (.f64 (sqrt.f64 2) (.f64 -1/16 (pow.f64 (sin.f64 y) 2))))) 1) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (/.f64 4 (+.f64 3 (sqrt.f64 5))) 2) (cos.f64 y)))))

Outputs

(/.f64 (+.f64 2 (*.f64 (*.f64 (*.f64 (sqrt.f64 2) (sin.f64 x)) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))) (*.f64 3 (+.f64 (+.f64 1 (*.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (*.f64 (/.f64 (/.f64 4 (+.f64 3 (sqrt.f64 5))) 2) (cos.f64 y)))))

(/.f64 (+.f64 (*.f64 (sqrt.f64 2) (*.f64 (-.f64 1 (cos.f64 y)) (*.f64 (+.f64 (*.f64 -1/16 (sin.f64 y)) (sin.f64 x)) (+.f64 (*.f64 -1/16 (sin.f64 x)) (sin.f64 y))))) 2) (+.f64 3 (+.f64 (*.f64 (cos.f64 y) (-.f64 9/2 (*.f64 3/2 (sqrt.f64 5)))) (/.f64 6 (/.f64 (+.f64 (sqrt.f64 5) 1) (cos.f64 x))))))

(/.f64 (+.f64 2 (*.f64 (*.f64 (*.f64 (sqrt.f64 2) (sin.f64 x)) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))) (*.f64 3 (+.f64 (+.f64 1 (/.f64 (cos.f64 x) (*.f64 1/2 (+.f64 (sqrt.f64 5) 1)))) (*.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))

Calls

2 calls:

150.0ms	y
108.0ms	x

Results

Error	Segments	Branch
12.5b	3	`x`
13.2b	3	`y`

Compiler

Compiled 3197 to 2413 computations (24.5% saved)

bsearch418.0ms (1.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
269.0ms	7.767354888146388e-13	8154.766831066893
147.0ms	-0.0008919942167208584	-6.90811036180353e-5

Compiler

Compiled 57 to 44 computations (22.8% saved)

regimes281.0ms (0.9%)

Counts

59 → 3

Calls

Call 1

Inputs
(/.f64 2/3 (+.f64 1 (+.f64 (.f64 1/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))) (*.f64 2 (/.f64 1 (+.f64 (sqrt.f64 5) 3))))))
(/.f64 2/3 (+.f64 1 (fma.f64 (cos.f64 x) (fma.f64 1/2 (sqrt.f64 5) -1/2) (/.f64 2 (+.f64 (sqrt.f64 5) 3)))))
(/.f64 (+.f64 2 (.f64 (pow.f64 x 4) (.f64 1/32 (sqrt.f64 2)))) (-.f64 (+.f64 15/2 (.f64 6 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1)))) (.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (pow.f64 x 4) (.f64 -1/2 (sqrt.f64 2))))) (-.f64 (+.f64 15/2 (.f64 6 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1)))) (*.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (pow.f64 x 4) (.f64 -1/2 (sqrt.f64 2))))) (-.f64 (+.f64 15/2 (.f64 6 (+.f64 (/.f64 1 (+.f64 (sqrt.f64 5) 1)) (.f64 (.f64 x (/.f64 x (+.f64 (sqrt.f64 5) 1))) (+.f64 -1/2 (.f64 (.f64 x x) 1/24)))))) (*.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (/.f64 6 (+.f64 (sqrt.f64 5) 1))) (.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (pow.f64 x 4) (.f64 -1/2 (sqrt.f64 2))))) (+.f64 (/.f64 6 (+.f64 1 (sqrt.f64 5))) (+.f64 (fma.f64 (sqrt.f64 5) -3/2 15/2) (.f64 (.f64 x (/.f64 x (+.f64 1 (sqrt.f64 5)))) (+.f64 -3 (.f64 x (*.f64 x 1/4)))))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (pow.f64 x 4) (.f64 -1/2 (sqrt.f64 2))))) (-.f64 (+.f64 15/2 (pow.f64 (cbrt.f64 (/.f64 6 (/.f64 (+.f64 (sqrt.f64 5) 1) (cos.f64 x)))) 3)) (.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (/.f64 (.f64 6 (cos.f64 x)) (+.f64 (sqrt.f64 5) 1))) (*.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (/.f64 6 (/.f64 (+.f64 (sqrt.f64 5) 1) (cos.f64 x)))) (.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (.f64 6 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1)))) (*.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (.f64 6 (.f64 (/.f64 (cos.f64 x) 4) (+.f64 (sqrt.f64 5) -1)))) (.f64 3/2 (sqrt.f64 5))))
(.f64 1/3 (/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2))))) (+.f64 1 (+.f64 (.f64 1/2 (-.f64 (sqrt.f64 5) 1)) (.f64 2 (/.f64 (cos.f64 y) (+.f64 (sqrt.f64 5) 3)))))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2))))) (+.f64 3 (+.f64 (.f64 6 (/.f64 1 (+.f64 (sqrt.f64 5) 1))) (.f64 (cos.f64 y) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5)))))))
(/.f64 (+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1)))) 2) (+.f64 3 (+.f64 (.f64 (cos.f64 y) (-.f64 9/2 (*.f64 3/2 (sqrt.f64 5)))) (/.f64 6 (/.f64 (+.f64 (sqrt.f64 5) 1) (cos.f64 x))))))
(/.f64 (+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2)))) 2) (+.f64 3 (+.f64 (.f64 (cos.f64 y) (-.f64 9/2 (*.f64 3/2 (sqrt.f64 5)))) (/.f64 6 (/.f64 (+.f64 (sqrt.f64 5) 1) (cos.f64 x))))))
(/.f64 (+.f64 2 (.f64 (.f64 (sqrt.f64 2) (.f64 -1/16 (pow.f64 (sin.f64 y) 2))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 1/2 (-.f64 (sqrt.f64 5) 1))) (.f64 (/.f64 (/.f64 4 (+.f64 3 (sqrt.f64 5))) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (.f64 (sqrt.f64 2) (.f64 -1/16 (pow.f64 (sin.f64 y) 2))) (-.f64 1 (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (/.f64 4 (+.f64 3 (sqrt.f64 5))) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (.f64 (sqrt.f64 2) (.f64 -1/16 (pow.f64 (sin.f64 y) 2))) (-.f64 (cos.f64 x) 1))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (/.f64 4 (+.f64 3 (sqrt.f64 5))) 2) (cos.f64 y)))))
(/.f64 (+.f64 (.f64 (.f64 (sqrt.f64 2) (-.f64 1 (cos.f64 y))) (.f64 (sin.f64 y) (+.f64 (.f64 x 257/256) (.f64 -1/16 (sin.f64 y))))) 2) (+.f64 3 (+.f64 (.f64 (cos.f64 y) (-.f64 9/2 (*.f64 3/2 (sqrt.f64 5)))) (/.f64 6 (/.f64 (+.f64 (sqrt.f64 5) 1) (cos.f64 x))))))
(/.f64 (+.f64 2/3 (.f64 (.f64 (sqrt.f64 2) (*.f64 (pow.f64 (sin.f64 y) 2) (-.f64 1 (cos.f64 y)))) -1/48)) (fma.f64 2 (/.f64 (cos.f64 y) (+.f64 (sqrt.f64 5) 3)) (+.f64 1 (fma.f64 1/2 (sqrt.f64 5) -1/2))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (log1p.f64 (expm1.f64 (/.f64 6 (/.f64 (+.f64 (sqrt.f64 5) 1) (cos.f64 x)))))) (.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (.f64 6 (log.f64 (exp.f64 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1)))))) (*.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (log.f64 (exp.f64 (/.f64 6 (/.f64 (+.f64 (sqrt.f64 5) 1) (cos.f64 x)))))) (.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (cbrt.f64 (pow.f64 (/.f64 6 (/.f64 (+.f64 (sqrt.f64 5) 1) (cos.f64 x))) 3))) (.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 (cos.f64 x) -1)) 3))))) (-.f64 (+.f64 15/2 (.f64 6 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1)))) (*.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (.f64 6 (pow.f64 (cbrt.f64 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1))) 3))) (*.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (sqrt.f64 (pow.f64 (+.f64 (cos.f64 x) -1) 2)))))) (-.f64 (+.f64 15/2 (.f64 6 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1)))) (*.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (pow.f64 (cbrt.f64 (/.f64 6 (/.f64 (+.f64 (sqrt.f64 5) 1) (cos.f64 x)))) 3)) (.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (.f64 6 (-.f64 (exp.f64 (log1p.f64 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1)))) 1))) (*.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (.f64 6 (log.f64 (+.f64 1 (expm1.f64 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1))))))) (*.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 -1/16 (pow.f64 (sin.f64 y) 2)))) 2) (+.f64 3 (+.f64 (.f64 (cos.f64 y) (-.f64 9/2 (*.f64 3/2 (sqrt.f64 5)))) (/.f64 6 (/.f64 (+.f64 (sqrt.f64 5) 1) (cos.f64 x))))))
(/.f64 (+.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 -1/16 (pow.f64 (sin.f64 x) 2)))) 2) (+.f64 3 (+.f64 (.f64 (cos.f64 y) (-.f64 9/2 (*.f64 3/2 (sqrt.f64 5)))) (/.f64 6 (/.f64 (+.f64 (sqrt.f64 5) 1) (cos.f64 x))))))
(/.f64 (+.f64 2 (.f64 (.f64 (pow.f64 (sin.f64 x) 2) (.f64 -1/16 (sqrt.f64 2))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(.f64 1/3 (/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (pow.f64 (sin.f64 y) 2))))) (+.f64 1 (+.f64 (.f64 1/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))) (*.f64 2 (/.f64 (cos.f64 y) (+.f64 (sqrt.f64 5) 3)))))))
(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (sin.f64 x)) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 1/2 (-.f64 (sqrt.f64 5) 1))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (sin.f64 x)) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 1/2 (-.f64 (sqrt.f64 5) 1))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (.f64 (sqrt.f64 2) (.f64 -1/16 (pow.f64 (sin.f64 y) 2))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (/.f64 4 (+.f64 3 (sqrt.f64 5))) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (.f64 (pow.f64 (sin.f64 x) 2) (.f64 -1/16 (sqrt.f64 2))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (/.f64 4 (+.f64 3 (sqrt.f64 5))) 2) (cos.f64 y)))))
(/.f64 (+.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (sin.f64 x) (+.f64 (.f64 -1/16 (sin.f64 x)) (.f64 y 257/256))))) 2) (+.f64 3 (+.f64 (.f64 (cos.f64 y) (-.f64 9/2 (*.f64 3/2 (sqrt.f64 5)))) (/.f64 6 (/.f64 (+.f64 (sqrt.f64 5) 1) (cos.f64 x))))))
(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (sin.f64 x)) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 1 (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (sin.f64 x)) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 1 (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (sin.f64 x)) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) 1))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (sin.f64 x)) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) 1))) (.f64 3 (+.f64 (+.f64 1 (/.f64 1 (/.f64 2 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1))))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (+.f64 (sin.f64 x) (.f64 y -1/16))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) 1))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (*.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (sin.f64 y)) (+.f64 (.f64 x 257/256) (.f64 -1/16 (sin.f64 y)))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (/.f64 4 (+.f64 3 (sqrt.f64 5))) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (.f64 (sin.f64 x) (.f64 (sqrt.f64 2) (+.f64 (.f64 -1/16 (sin.f64 x)) (.f64 y 257/256)))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (/.f64 4 (+.f64 3 (sqrt.f64 5))) 2) (cos.f64 y)))))
(/.f64 (fma.f64 (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2)) (.f64 -1/16 (sqrt.f64 2)) 2) (+.f64 (/.f64 6 (+.f64 1 (sqrt.f64 5))) (fma.f64 (fma.f64 (sqrt.f64 5) -3/2 9/2) (cos.f64 y) 3)))
(/.f64 (+.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x)) (+.f64 (.f64 -1/16 (sin.f64 x)) (sin.f64 y))))) 2) (+.f64 3 (+.f64 (.f64 (cos.f64 y) (-.f64 9/2 (*.f64 3/2 (sqrt.f64 5)))) (/.f64 6 (+.f64 (sqrt.f64 5) 1)))))
(/.f64 (+.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x)) (+.f64 (.f64 -1/16 (sin.f64 x)) (sin.f64 y))))) 2) (+.f64 3 (+.f64 (.f64 (cos.f64 y) (-.f64 9/2 (*.f64 3/2 (sqrt.f64 5)))) (/.f64 6 (+.f64 (sqrt.f64 5) 1)))))
(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (sin.f64 x)) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (/.f64 (cos.f64 x) (.f64 1/2 (+.f64 (sqrt.f64 5) 1)))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (sin.f64 x)) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (/.f64 (+.f64 (sqrt.f64 5) -1) (/.f64 2 (cos.f64 x)))) (*.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (sin.f64 x)) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (.f64 (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x)) (+.f64 (.f64 -1/16 (sin.f64 x)) (sin.f64 y))))) 2) (+.f64 3 (+.f64 (.f64 (cos.f64 y) (-.f64 9/2 (*.f64 3/2 (sqrt.f64 5)))) (/.f64 6 (/.f64 (+.f64 (sqrt.f64 5) 1) (cos.f64 x))))))
(/.f64 (+.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) 1) (.f64 (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x)) (+.f64 (.f64 -1/16 (sin.f64 x)) (sin.f64 y))))) 2) (+.f64 3 (+.f64 (.f64 (cos.f64 y) (-.f64 9/2 (*.f64 3/2 (sqrt.f64 5)))) (/.f64 6 (/.f64 (+.f64 (sqrt.f64 5) 1) (cos.f64 x))))))
(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (sin.f64 x)) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 1 (/.f64 2 (cos.f64 x))) (+.f64 (sqrt.f64 5) -1))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (.f64 (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x)) (+.f64 (.f64 -1/16 (sin.f64 x)) (sin.f64 y))))) 2) (+.f64 3 (+.f64 (.f64 (cos.f64 y) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5)))) (.f64 6 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1))))))
(/.f64 (+.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) 1) (.f64 (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x)) (+.f64 (.f64 -1/16 (sin.f64 x)) (sin.f64 y))))) 2) (+.f64 3 (+.f64 (.f64 (cos.f64 y) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5)))) (.f64 6 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1))))))
(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (sin.f64 x)) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (/.f64 1 (/.f64 2 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1))))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))

Outputs

(/.f64 (+.f64 2 (*.f64 (*.f64 (*.f64 (sqrt.f64 2) (sin.f64 x)) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))) (*.f64 3 (+.f64 (+.f64 1 (/.f64 (cos.f64 x) (*.f64 1/2 (+.f64 (sqrt.f64 5) 1)))) (*.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))

(/.f64 (+.f64 (*.f64 (sqrt.f64 2) (*.f64 (-.f64 1 (cos.f64 y)) (*.f64 (+.f64 (*.f64 -1/16 (sin.f64 y)) (sin.f64 x)) (+.f64 (*.f64 -1/16 (sin.f64 x)) (sin.f64 y))))) 2) (+.f64 3 (+.f64 (*.f64 (cos.f64 y) (-.f64 9/2 (*.f64 3/2 (sqrt.f64 5)))) (/.f64 6 (/.f64 (+.f64 (sqrt.f64 5) 1) (cos.f64 x))))))

(/.f64 (+.f64 2 (*.f64 (*.f64 (*.f64 (sqrt.f64 2) (sin.f64 x)) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))) (*.f64 3 (+.f64 (+.f64 1 (/.f64 (cos.f64 x) (*.f64 1/2 (+.f64 (sqrt.f64 5) 1)))) (*.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))

Calls

2 calls:

112.0ms	y
99.0ms	x

Results

Error	Segments	Branch
12.5b	3	`x`
13.3b	3	`y`

Compiler

Compiled 2331 to 1791 computations (23.2% saved)

bsearch548.0ms (1.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
245.0ms	7.767354888146388e-13	8154.766831066893
302.0ms	-0.0008919942167208584	-6.90811036180353e-5

Compiler

Compiled 57 to 44 computations (22.8% saved)

regimes234.0ms (0.7%)

Counts

53 → 3

Calls

Call 1

Inputs
(/.f64 2/3 (+.f64 1 (+.f64 (.f64 1/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))) (*.f64 2 (/.f64 1 (+.f64 (sqrt.f64 5) 3))))))
(/.f64 2/3 (+.f64 1 (fma.f64 (cos.f64 x) (fma.f64 1/2 (sqrt.f64 5) -1/2) (/.f64 2 (+.f64 (sqrt.f64 5) 3)))))
(/.f64 (+.f64 2 (.f64 (pow.f64 x 4) (.f64 1/32 (sqrt.f64 2)))) (-.f64 (+.f64 15/2 (.f64 6 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1)))) (.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (pow.f64 x 4) (.f64 -1/2 (sqrt.f64 2))))) (-.f64 (+.f64 15/2 (.f64 6 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1)))) (*.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (pow.f64 x 4) (.f64 -1/2 (sqrt.f64 2))))) (-.f64 (+.f64 15/2 (.f64 6 (+.f64 (/.f64 1 (+.f64 (sqrt.f64 5) 1)) (.f64 (.f64 x (/.f64 x (+.f64 (sqrt.f64 5) 1))) (+.f64 -1/2 (.f64 (.f64 x x) 1/24)))))) (*.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (/.f64 6 (+.f64 (sqrt.f64 5) 1))) (.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (pow.f64 x 4) (.f64 -1/2 (sqrt.f64 2))))) (+.f64 (/.f64 6 (+.f64 1 (sqrt.f64 5))) (+.f64 (fma.f64 (sqrt.f64 5) -3/2 15/2) (.f64 (.f64 x (/.f64 x (+.f64 1 (sqrt.f64 5)))) (+.f64 -3 (.f64 x (*.f64 x 1/4)))))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (pow.f64 x 4) (.f64 -1/2 (sqrt.f64 2))))) (-.f64 (+.f64 15/2 (pow.f64 (cbrt.f64 (/.f64 6 (/.f64 (+.f64 (sqrt.f64 5) 1) (cos.f64 x)))) 3)) (.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (/.f64 (.f64 6 (cos.f64 x)) (+.f64 (sqrt.f64 5) 1))) (*.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (/.f64 6 (/.f64 (+.f64 (sqrt.f64 5) 1) (cos.f64 x)))) (.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (.f64 6 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1)))) (*.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (.f64 6 (.f64 (/.f64 (cos.f64 x) 4) (+.f64 (sqrt.f64 5) -1)))) (.f64 3/2 (sqrt.f64 5))))
(.f64 1/3 (/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2))))) (+.f64 1 (+.f64 (.f64 1/2 (-.f64 (sqrt.f64 5) 1)) (.f64 2 (/.f64 (cos.f64 y) (+.f64 (sqrt.f64 5) 3)))))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2))))) (+.f64 3 (+.f64 (.f64 6 (/.f64 1 (+.f64 (sqrt.f64 5) 1))) (.f64 (cos.f64 y) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5)))))))
(/.f64 (+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1)))) 2) (+.f64 3 (+.f64 (.f64 (cos.f64 y) (-.f64 9/2 (*.f64 3/2 (sqrt.f64 5)))) (/.f64 6 (/.f64 (+.f64 (sqrt.f64 5) 1) (cos.f64 x))))))
(/.f64 (+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2)))) 2) (+.f64 3 (+.f64 (.f64 (cos.f64 y) (-.f64 9/2 (*.f64 3/2 (sqrt.f64 5)))) (/.f64 6 (/.f64 (+.f64 (sqrt.f64 5) 1) (cos.f64 x))))))
(/.f64 (+.f64 2 (.f64 (.f64 (sqrt.f64 2) (.f64 -1/16 (pow.f64 (sin.f64 y) 2))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 1/2 (-.f64 (sqrt.f64 5) 1))) (.f64 (/.f64 (/.f64 4 (+.f64 3 (sqrt.f64 5))) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (.f64 (sqrt.f64 2) (.f64 -1/16 (pow.f64 (sin.f64 y) 2))) (-.f64 1 (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (/.f64 4 (+.f64 3 (sqrt.f64 5))) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (.f64 (sqrt.f64 2) (.f64 -1/16 (pow.f64 (sin.f64 y) 2))) (-.f64 (cos.f64 x) 1))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (/.f64 4 (+.f64 3 (sqrt.f64 5))) 2) (cos.f64 y)))))
(/.f64 (+.f64 (.f64 (.f64 (sqrt.f64 2) (-.f64 1 (cos.f64 y))) (.f64 (sin.f64 y) (+.f64 (.f64 x 257/256) (.f64 -1/16 (sin.f64 y))))) 2) (+.f64 3 (+.f64 (.f64 (cos.f64 y) (-.f64 9/2 (*.f64 3/2 (sqrt.f64 5)))) (/.f64 6 (/.f64 (+.f64 (sqrt.f64 5) 1) (cos.f64 x))))))
(/.f64 (+.f64 2/3 (.f64 (.f64 (sqrt.f64 2) (*.f64 (pow.f64 (sin.f64 y) 2) (-.f64 1 (cos.f64 y)))) -1/48)) (fma.f64 2 (/.f64 (cos.f64 y) (+.f64 (sqrt.f64 5) 3)) (+.f64 1 (fma.f64 1/2 (sqrt.f64 5) -1/2))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (log1p.f64 (expm1.f64 (/.f64 6 (/.f64 (+.f64 (sqrt.f64 5) 1) (cos.f64 x)))))) (.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (.f64 6 (log.f64 (exp.f64 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1)))))) (*.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (log.f64 (exp.f64 (/.f64 6 (/.f64 (+.f64 (sqrt.f64 5) 1) (cos.f64 x)))))) (.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (cbrt.f64 (pow.f64 (/.f64 6 (/.f64 (+.f64 (sqrt.f64 5) 1) (cos.f64 x))) 3))) (.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 (cos.f64 x) -1)) 3))))) (-.f64 (+.f64 15/2 (.f64 6 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1)))) (*.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (.f64 6 (pow.f64 (cbrt.f64 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1))) 3))) (*.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (sqrt.f64 (pow.f64 (+.f64 (cos.f64 x) -1) 2)))))) (-.f64 (+.f64 15/2 (.f64 6 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1)))) (*.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (pow.f64 (cbrt.f64 (/.f64 6 (/.f64 (+.f64 (sqrt.f64 5) 1) (cos.f64 x)))) 3)) (.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (.f64 6 (-.f64 (exp.f64 (log1p.f64 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1)))) 1))) (*.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (.f64 6 (log.f64 (+.f64 1 (expm1.f64 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1))))))) (*.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 -1/16 (pow.f64 (sin.f64 y) 2)))) 2) (+.f64 3 (+.f64 (.f64 (cos.f64 y) (-.f64 9/2 (*.f64 3/2 (sqrt.f64 5)))) (/.f64 6 (/.f64 (+.f64 (sqrt.f64 5) 1) (cos.f64 x))))))
(/.f64 (+.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 -1/16 (pow.f64 (sin.f64 x) 2)))) 2) (+.f64 3 (+.f64 (.f64 (cos.f64 y) (-.f64 9/2 (*.f64 3/2 (sqrt.f64 5)))) (/.f64 6 (/.f64 (+.f64 (sqrt.f64 5) 1) (cos.f64 x))))))
(/.f64 (+.f64 2 (.f64 (.f64 (pow.f64 (sin.f64 x) 2) (.f64 -1/16 (sqrt.f64 2))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(.f64 1/3 (/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (pow.f64 (sin.f64 y) 2))))) (+.f64 1 (+.f64 (.f64 1/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))) (*.f64 2 (/.f64 (cos.f64 y) (+.f64 (sqrt.f64 5) 3)))))))
(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (sin.f64 x)) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 1/2 (-.f64 (sqrt.f64 5) 1))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (sin.f64 x)) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 1/2 (-.f64 (sqrt.f64 5) 1))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (.f64 (sqrt.f64 2) (.f64 -1/16 (pow.f64 (sin.f64 y) 2))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (/.f64 4 (+.f64 3 (sqrt.f64 5))) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (.f64 (pow.f64 (sin.f64 x) 2) (.f64 -1/16 (sqrt.f64 2))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (/.f64 4 (+.f64 3 (sqrt.f64 5))) 2) (cos.f64 y)))))
(/.f64 (+.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (sin.f64 x) (+.f64 (.f64 -1/16 (sin.f64 x)) (.f64 y 257/256))))) 2) (+.f64 3 (+.f64 (.f64 (cos.f64 y) (-.f64 9/2 (*.f64 3/2 (sqrt.f64 5)))) (/.f64 6 (/.f64 (+.f64 (sqrt.f64 5) 1) (cos.f64 x))))))
(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (sin.f64 x)) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 1 (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (sin.f64 x)) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 1 (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (sin.f64 x)) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) 1))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (sin.f64 x)) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) 1))) (.f64 3 (+.f64 (+.f64 1 (/.f64 1 (/.f64 2 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1))))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (+.f64 (sin.f64 x) (.f64 y -1/16))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) 1))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (*.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (sin.f64 y)) (+.f64 (.f64 x 257/256) (.f64 -1/16 (sin.f64 y)))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (/.f64 4 (+.f64 3 (sqrt.f64 5))) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (.f64 (sin.f64 x) (.f64 (sqrt.f64 2) (+.f64 (.f64 -1/16 (sin.f64 x)) (.f64 y 257/256)))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (/.f64 4 (+.f64 3 (sqrt.f64 5))) 2) (cos.f64 y)))))
(/.f64 (fma.f64 (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2)) (.f64 -1/16 (sqrt.f64 2)) 2) (+.f64 (/.f64 6 (+.f64 1 (sqrt.f64 5))) (fma.f64 (fma.f64 (sqrt.f64 5) -3/2 9/2) (cos.f64 y) 3)))
(/.f64 (+.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x)) (+.f64 (.f64 -1/16 (sin.f64 x)) (sin.f64 y))))) 2) (+.f64 3 (+.f64 (.f64 (cos.f64 y) (-.f64 9/2 (*.f64 3/2 (sqrt.f64 5)))) (/.f64 6 (+.f64 (sqrt.f64 5) 1)))))
(/.f64 (+.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x)) (+.f64 (.f64 -1/16 (sin.f64 x)) (sin.f64 y))))) 2) (+.f64 3 (+.f64 (.f64 (cos.f64 y) (-.f64 9/2 (*.f64 3/2 (sqrt.f64 5)))) (/.f64 6 (+.f64 (sqrt.f64 5) 1)))))
(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (sin.f64 x)) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (/.f64 (cos.f64 x) (.f64 1/2 (+.f64 (sqrt.f64 5) 1)))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (sin.f64 x)) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (/.f64 (+.f64 (sqrt.f64 5) -1) (/.f64 2 (cos.f64 x)))) (*.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (sin.f64 x)) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))

Outputs

(/.f64 (+.f64 2 (*.f64 (*.f64 (*.f64 (sqrt.f64 2) (sin.f64 x)) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))) (*.f64 3 (+.f64 (+.f64 1 (/.f64 (cos.f64 x) (*.f64 1/2 (+.f64 (sqrt.f64 5) 1)))) (*.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))

(/.f64 (+.f64 (*.f64 (sqrt.f64 2) (*.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (*.f64 (+.f64 (*.f64 -1/16 (sin.f64 y)) (sin.f64 x)) (+.f64 (*.f64 -1/16 (sin.f64 x)) (sin.f64 y))))) 2) (+.f64 3 (+.f64 (*.f64 (cos.f64 y) (-.f64 9/2 (*.f64 3/2 (sqrt.f64 5)))) (/.f64 6 (+.f64 (sqrt.f64 5) 1)))))

(/.f64 (+.f64 2 (*.f64 (*.f64 (*.f64 (sqrt.f64 2) (sin.f64 x)) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))) (*.f64 3 (+.f64 (+.f64 1 (/.f64 (cos.f64 x) (*.f64 1/2 (+.f64 (sqrt.f64 5) 1)))) (*.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))

Calls

2 calls:

103.0ms	x
76.0ms	y

Results

Error	Segments	Branch
12.5b	3	`x`
13.4b	3	`y`

Compiler

Compiled 2049 to 1595 computations (22.2% saved)

bsearch324.0ms (1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
178.0ms	7.767354888146388e-13	8154.766831066893
145.0ms	-6.90811036180353e-5	-9.464683270532723e-20

Compiler

Compiled 57 to 44 computations (22.8% saved)

regimes302.0ms (0.9%)

Counts

50 → 3

Calls

Call 1

Inputs
(/.f64 2/3 (+.f64 1 (+.f64 (.f64 1/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))) (*.f64 2 (/.f64 1 (+.f64 (sqrt.f64 5) 3))))))
(/.f64 2/3 (+.f64 1 (fma.f64 (cos.f64 x) (fma.f64 1/2 (sqrt.f64 5) -1/2) (/.f64 2 (+.f64 (sqrt.f64 5) 3)))))
(/.f64 (+.f64 2 (.f64 (pow.f64 x 4) (.f64 1/32 (sqrt.f64 2)))) (-.f64 (+.f64 15/2 (.f64 6 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1)))) (.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (pow.f64 x 4) (.f64 -1/2 (sqrt.f64 2))))) (-.f64 (+.f64 15/2 (.f64 6 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1)))) (*.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (pow.f64 x 4) (.f64 -1/2 (sqrt.f64 2))))) (-.f64 (+.f64 15/2 (.f64 6 (+.f64 (/.f64 1 (+.f64 (sqrt.f64 5) 1)) (.f64 (.f64 x (/.f64 x (+.f64 (sqrt.f64 5) 1))) (+.f64 -1/2 (.f64 (.f64 x x) 1/24)))))) (*.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (/.f64 6 (+.f64 (sqrt.f64 5) 1))) (.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (pow.f64 x 4) (.f64 -1/2 (sqrt.f64 2))))) (+.f64 (/.f64 6 (+.f64 1 (sqrt.f64 5))) (+.f64 (fma.f64 (sqrt.f64 5) -3/2 15/2) (.f64 (.f64 x (/.f64 x (+.f64 1 (sqrt.f64 5)))) (+.f64 -3 (.f64 x (*.f64 x 1/4)))))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (pow.f64 x 4) (.f64 -1/2 (sqrt.f64 2))))) (-.f64 (+.f64 15/2 (pow.f64 (cbrt.f64 (/.f64 6 (/.f64 (+.f64 (sqrt.f64 5) 1) (cos.f64 x)))) 3)) (.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (/.f64 (.f64 6 (cos.f64 x)) (+.f64 (sqrt.f64 5) 1))) (*.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (/.f64 6 (/.f64 (+.f64 (sqrt.f64 5) 1) (cos.f64 x)))) (.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (.f64 6 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1)))) (*.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (.f64 6 (.f64 (/.f64 (cos.f64 x) 4) (+.f64 (sqrt.f64 5) -1)))) (.f64 3/2 (sqrt.f64 5))))
(.f64 1/3 (/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2))))) (+.f64 1 (+.f64 (.f64 1/2 (-.f64 (sqrt.f64 5) 1)) (.f64 2 (/.f64 (cos.f64 y) (+.f64 (sqrt.f64 5) 3)))))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2))))) (+.f64 3 (+.f64 (.f64 6 (/.f64 1 (+.f64 (sqrt.f64 5) 1))) (.f64 (cos.f64 y) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5)))))))
(/.f64 (+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1)))) 2) (+.f64 3 (+.f64 (.f64 (cos.f64 y) (-.f64 9/2 (*.f64 3/2 (sqrt.f64 5)))) (/.f64 6 (/.f64 (+.f64 (sqrt.f64 5) 1) (cos.f64 x))))))
(/.f64 (+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2)))) 2) (+.f64 3 (+.f64 (.f64 (cos.f64 y) (-.f64 9/2 (*.f64 3/2 (sqrt.f64 5)))) (/.f64 6 (/.f64 (+.f64 (sqrt.f64 5) 1) (cos.f64 x))))))
(/.f64 (+.f64 2 (.f64 (.f64 (sqrt.f64 2) (.f64 -1/16 (pow.f64 (sin.f64 y) 2))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 1/2 (-.f64 (sqrt.f64 5) 1))) (.f64 (/.f64 (/.f64 4 (+.f64 3 (sqrt.f64 5))) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (.f64 (sqrt.f64 2) (.f64 -1/16 (pow.f64 (sin.f64 y) 2))) (-.f64 1 (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (/.f64 4 (+.f64 3 (sqrt.f64 5))) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (.f64 (sqrt.f64 2) (.f64 -1/16 (pow.f64 (sin.f64 y) 2))) (-.f64 (cos.f64 x) 1))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (/.f64 4 (+.f64 3 (sqrt.f64 5))) 2) (cos.f64 y)))))
(/.f64 (+.f64 (.f64 (.f64 (sqrt.f64 2) (-.f64 1 (cos.f64 y))) (.f64 (sin.f64 y) (+.f64 (.f64 x 257/256) (.f64 -1/16 (sin.f64 y))))) 2) (+.f64 3 (+.f64 (.f64 (cos.f64 y) (-.f64 9/2 (*.f64 3/2 (sqrt.f64 5)))) (/.f64 6 (/.f64 (+.f64 (sqrt.f64 5) 1) (cos.f64 x))))))
(/.f64 (+.f64 2/3 (.f64 (.f64 (sqrt.f64 2) (*.f64 (pow.f64 (sin.f64 y) 2) (-.f64 1 (cos.f64 y)))) -1/48)) (fma.f64 2 (/.f64 (cos.f64 y) (+.f64 (sqrt.f64 5) 3)) (+.f64 1 (fma.f64 1/2 (sqrt.f64 5) -1/2))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (log1p.f64 (expm1.f64 (/.f64 6 (/.f64 (+.f64 (sqrt.f64 5) 1) (cos.f64 x)))))) (.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (.f64 6 (log.f64 (exp.f64 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1)))))) (*.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (log.f64 (exp.f64 (/.f64 6 (/.f64 (+.f64 (sqrt.f64 5) 1) (cos.f64 x)))))) (.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (cbrt.f64 (pow.f64 (/.f64 6 (/.f64 (+.f64 (sqrt.f64 5) 1) (cos.f64 x))) 3))) (.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 (cos.f64 x) -1)) 3))))) (-.f64 (+.f64 15/2 (.f64 6 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1)))) (*.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (.f64 6 (pow.f64 (cbrt.f64 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1))) 3))) (*.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (sqrt.f64 (pow.f64 (+.f64 (cos.f64 x) -1) 2)))))) (-.f64 (+.f64 15/2 (.f64 6 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1)))) (*.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (pow.f64 (cbrt.f64 (/.f64 6 (/.f64 (+.f64 (sqrt.f64 5) 1) (cos.f64 x)))) 3)) (.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (.f64 6 (-.f64 (exp.f64 (log1p.f64 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1)))) 1))) (*.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (.f64 6 (log.f64 (+.f64 1 (expm1.f64 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1))))))) (*.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 -1/16 (pow.f64 (sin.f64 y) 2)))) 2) (+.f64 3 (+.f64 (.f64 (cos.f64 y) (-.f64 9/2 (*.f64 3/2 (sqrt.f64 5)))) (/.f64 6 (/.f64 (+.f64 (sqrt.f64 5) 1) (cos.f64 x))))))
(/.f64 (+.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 -1/16 (pow.f64 (sin.f64 x) 2)))) 2) (+.f64 3 (+.f64 (.f64 (cos.f64 y) (-.f64 9/2 (*.f64 3/2 (sqrt.f64 5)))) (/.f64 6 (/.f64 (+.f64 (sqrt.f64 5) 1) (cos.f64 x))))))
(/.f64 (+.f64 2 (.f64 (.f64 (pow.f64 (sin.f64 x) 2) (.f64 -1/16 (sqrt.f64 2))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(.f64 1/3 (/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (pow.f64 (sin.f64 y) 2))))) (+.f64 1 (+.f64 (.f64 1/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))) (*.f64 2 (/.f64 (cos.f64 y) (+.f64 (sqrt.f64 5) 3)))))))
(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (sin.f64 x)) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 1/2 (-.f64 (sqrt.f64 5) 1))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (sin.f64 x)) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 1/2 (-.f64 (sqrt.f64 5) 1))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (.f64 (sqrt.f64 2) (.f64 -1/16 (pow.f64 (sin.f64 y) 2))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (/.f64 4 (+.f64 3 (sqrt.f64 5))) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (.f64 (pow.f64 (sin.f64 x) 2) (.f64 -1/16 (sqrt.f64 2))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (/.f64 4 (+.f64 3 (sqrt.f64 5))) 2) (cos.f64 y)))))
(/.f64 (+.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (sin.f64 x) (+.f64 (.f64 -1/16 (sin.f64 x)) (.f64 y 257/256))))) 2) (+.f64 3 (+.f64 (.f64 (cos.f64 y) (-.f64 9/2 (*.f64 3/2 (sqrt.f64 5)))) (/.f64 6 (/.f64 (+.f64 (sqrt.f64 5) 1) (cos.f64 x))))))
(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (sin.f64 x)) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 1 (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (sin.f64 x)) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 1 (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (sin.f64 x)) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) 1))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (sin.f64 x)) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) 1))) (.f64 3 (+.f64 (+.f64 1 (/.f64 1 (/.f64 2 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1))))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (+.f64 (sin.f64 x) (.f64 y -1/16))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) 1))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (*.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (sin.f64 y)) (+.f64 (.f64 x 257/256) (.f64 -1/16 (sin.f64 y)))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (/.f64 4 (+.f64 3 (sqrt.f64 5))) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (.f64 (sin.f64 x) (.f64 (sqrt.f64 2) (+.f64 (.f64 -1/16 (sin.f64 x)) (.f64 y 257/256)))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (/.f64 4 (+.f64 3 (sqrt.f64 5))) 2) (cos.f64 y)))))
(/.f64 (fma.f64 (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2)) (.f64 -1/16 (sqrt.f64 2)) 2) (+.f64 (/.f64 6 (+.f64 1 (sqrt.f64 5))) (fma.f64 (fma.f64 (sqrt.f64 5) -3/2 9/2) (cos.f64 y) 3)))
(/.f64 (+.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x)) (+.f64 (.f64 -1/16 (sin.f64 x)) (sin.f64 y))))) 2) (+.f64 3 (+.f64 (.f64 (cos.f64 y) (-.f64 9/2 (*.f64 3/2 (sqrt.f64 5)))) (/.f64 6 (+.f64 (sqrt.f64 5) 1)))))
(/.f64 (+.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x)) (+.f64 (.f64 -1/16 (sin.f64 x)) (sin.f64 y))))) 2) (+.f64 3 (+.f64 (.f64 (cos.f64 y) (-.f64 9/2 (*.f64 3/2 (sqrt.f64 5)))) (/.f64 6 (+.f64 (sqrt.f64 5) 1)))))

Outputs

(/.f64 (+.f64 2 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 -1/16 (pow.f64 (sin.f64 y) 2))) (-.f64 (cos.f64 x) (cos.f64 y)))) (*.f64 3 (+.f64 (+.f64 1 (*.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (*.f64 (/.f64 (/.f64 4 (+.f64 3 (sqrt.f64 5))) 2) (cos.f64 y)))))

(/.f64 (+.f64 (*.f64 (sqrt.f64 2) (*.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (*.f64 (sin.f64 x) (+.f64 (*.f64 -1/16 (sin.f64 x)) (*.f64 y 257/256))))) 2) (+.f64 3 (+.f64 (*.f64 (cos.f64 y) (-.f64 9/2 (*.f64 3/2 (sqrt.f64 5)))) (/.f64 6 (/.f64 (+.f64 (sqrt.f64 5) 1) (cos.f64 x))))))

(/.f64 (+.f64 (*.f64 (sqrt.f64 2) (*.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (*.f64 -1/16 (pow.f64 (sin.f64 y) 2)))) 2) (+.f64 3 (+.f64 (*.f64 (cos.f64 y) (-.f64 9/2 (*.f64 3/2 (sqrt.f64 5)))) (/.f64 6 (/.f64 (+.f64 (sqrt.f64 5) 1) (cos.f64 x))))))

Calls

2 calls:

134.0ms	x
116.0ms	y

Results

Error	Segments	Branch
13.5b	3	`x`
13.4b	3	`y`

Compiler

Compiled 1914 to 1505 computations (21.4% saved)

bsearch405.0ms (1.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
192.0ms	1.6690247608665462e-5	0.12209427753611095
212.0ms	-1.4964304129107702	-0.0009208436247191851

Compiler

Compiled 57 to 44 computations (22.8% saved)

regimes227.0ms (0.7%)

Counts

39 → 3

Calls

Call 1

Inputs
(/.f64 2/3 (+.f64 1 (+.f64 (.f64 1/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))) (*.f64 2 (/.f64 1 (+.f64 (sqrt.f64 5) 3))))))
(/.f64 2/3 (+.f64 1 (fma.f64 (cos.f64 x) (fma.f64 1/2 (sqrt.f64 5) -1/2) (/.f64 2 (+.f64 (sqrt.f64 5) 3)))))
(/.f64 (+.f64 2 (.f64 (pow.f64 x 4) (.f64 1/32 (sqrt.f64 2)))) (-.f64 (+.f64 15/2 (.f64 6 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1)))) (.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (pow.f64 x 4) (.f64 -1/2 (sqrt.f64 2))))) (-.f64 (+.f64 15/2 (.f64 6 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1)))) (*.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (pow.f64 x 4) (.f64 -1/2 (sqrt.f64 2))))) (-.f64 (+.f64 15/2 (.f64 6 (+.f64 (/.f64 1 (+.f64 (sqrt.f64 5) 1)) (.f64 (.f64 x (/.f64 x (+.f64 (sqrt.f64 5) 1))) (+.f64 -1/2 (.f64 (.f64 x x) 1/24)))))) (*.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (/.f64 6 (+.f64 (sqrt.f64 5) 1))) (.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (pow.f64 x 4) (.f64 -1/2 (sqrt.f64 2))))) (+.f64 (/.f64 6 (+.f64 1 (sqrt.f64 5))) (+.f64 (fma.f64 (sqrt.f64 5) -3/2 15/2) (.f64 (.f64 x (/.f64 x (+.f64 1 (sqrt.f64 5)))) (+.f64 -3 (.f64 x (*.f64 x 1/4)))))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (pow.f64 x 4) (.f64 -1/2 (sqrt.f64 2))))) (-.f64 (+.f64 15/2 (pow.f64 (cbrt.f64 (/.f64 6 (/.f64 (+.f64 (sqrt.f64 5) 1) (cos.f64 x)))) 3)) (.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (/.f64 (.f64 6 (cos.f64 x)) (+.f64 (sqrt.f64 5) 1))) (*.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (/.f64 6 (/.f64 (+.f64 (sqrt.f64 5) 1) (cos.f64 x)))) (.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (.f64 6 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1)))) (*.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (.f64 6 (.f64 (/.f64 (cos.f64 x) 4) (+.f64 (sqrt.f64 5) -1)))) (.f64 3/2 (sqrt.f64 5))))
(.f64 1/3 (/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2))))) (+.f64 1 (+.f64 (.f64 1/2 (-.f64 (sqrt.f64 5) 1)) (.f64 2 (/.f64 (cos.f64 y) (+.f64 (sqrt.f64 5) 3)))))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2))))) (+.f64 3 (+.f64 (.f64 6 (/.f64 1 (+.f64 (sqrt.f64 5) 1))) (.f64 (cos.f64 y) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5)))))))
(/.f64 (+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1)))) 2) (+.f64 3 (+.f64 (.f64 (cos.f64 y) (-.f64 9/2 (*.f64 3/2 (sqrt.f64 5)))) (/.f64 6 (/.f64 (+.f64 (sqrt.f64 5) 1) (cos.f64 x))))))
(/.f64 (+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2)))) 2) (+.f64 3 (+.f64 (.f64 (cos.f64 y) (-.f64 9/2 (*.f64 3/2 (sqrt.f64 5)))) (/.f64 6 (/.f64 (+.f64 (sqrt.f64 5) 1) (cos.f64 x))))))
(/.f64 (+.f64 2 (.f64 (.f64 (sqrt.f64 2) (.f64 -1/16 (pow.f64 (sin.f64 y) 2))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 1/2 (-.f64 (sqrt.f64 5) 1))) (.f64 (/.f64 (/.f64 4 (+.f64 3 (sqrt.f64 5))) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (.f64 (sqrt.f64 2) (.f64 -1/16 (pow.f64 (sin.f64 y) 2))) (-.f64 1 (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (/.f64 4 (+.f64 3 (sqrt.f64 5))) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (.f64 (sqrt.f64 2) (.f64 -1/16 (pow.f64 (sin.f64 y) 2))) (-.f64 (cos.f64 x) 1))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (/.f64 4 (+.f64 3 (sqrt.f64 5))) 2) (cos.f64 y)))))
(/.f64 (+.f64 (.f64 (.f64 (sqrt.f64 2) (-.f64 1 (cos.f64 y))) (.f64 (sin.f64 y) (+.f64 (.f64 x 257/256) (.f64 -1/16 (sin.f64 y))))) 2) (+.f64 3 (+.f64 (.f64 (cos.f64 y) (-.f64 9/2 (*.f64 3/2 (sqrt.f64 5)))) (/.f64 6 (/.f64 (+.f64 (sqrt.f64 5) 1) (cos.f64 x))))))
(/.f64 (+.f64 2/3 (.f64 (.f64 (sqrt.f64 2) (*.f64 (pow.f64 (sin.f64 y) 2) (-.f64 1 (cos.f64 y)))) -1/48)) (fma.f64 2 (/.f64 (cos.f64 y) (+.f64 (sqrt.f64 5) 3)) (+.f64 1 (fma.f64 1/2 (sqrt.f64 5) -1/2))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (log1p.f64 (expm1.f64 (/.f64 6 (/.f64 (+.f64 (sqrt.f64 5) 1) (cos.f64 x)))))) (.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (.f64 6 (log.f64 (exp.f64 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1)))))) (*.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (log.f64 (exp.f64 (/.f64 6 (/.f64 (+.f64 (sqrt.f64 5) 1) (cos.f64 x)))))) (.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (cbrt.f64 (pow.f64 (/.f64 6 (/.f64 (+.f64 (sqrt.f64 5) 1) (cos.f64 x))) 3))) (.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 (cos.f64 x) -1)) 3))))) (-.f64 (+.f64 15/2 (.f64 6 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1)))) (*.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (.f64 6 (pow.f64 (cbrt.f64 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1))) 3))) (*.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (sqrt.f64 (pow.f64 (+.f64 (cos.f64 x) -1) 2)))))) (-.f64 (+.f64 15/2 (.f64 6 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1)))) (*.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (pow.f64 (cbrt.f64 (/.f64 6 (/.f64 (+.f64 (sqrt.f64 5) 1) (cos.f64 x)))) 3)) (.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (.f64 6 (-.f64 (exp.f64 (log1p.f64 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1)))) 1))) (*.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (.f64 6 (log.f64 (+.f64 1 (expm1.f64 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1))))))) (*.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 -1/16 (pow.f64 (sin.f64 y) 2)))) 2) (+.f64 3 (+.f64 (.f64 (cos.f64 y) (-.f64 9/2 (*.f64 3/2 (sqrt.f64 5)))) (/.f64 6 (/.f64 (+.f64 (sqrt.f64 5) 1) (cos.f64 x))))))
(/.f64 (+.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 -1/16 (pow.f64 (sin.f64 x) 2)))) 2) (+.f64 3 (+.f64 (.f64 (cos.f64 y) (-.f64 9/2 (*.f64 3/2 (sqrt.f64 5)))) (/.f64 6 (/.f64 (+.f64 (sqrt.f64 5) 1) (cos.f64 x))))))
(/.f64 (+.f64 2 (.f64 (.f64 (pow.f64 (sin.f64 x) 2) (.f64 -1/16 (sqrt.f64 2))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(.f64 1/3 (/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (pow.f64 (sin.f64 y) 2))))) (+.f64 1 (+.f64 (.f64 1/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))) (*.f64 2 (/.f64 (cos.f64 y) (+.f64 (sqrt.f64 5) 3)))))))
(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (sin.f64 x)) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 1/2 (-.f64 (sqrt.f64 5) 1))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (sin.f64 x)) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 1/2 (-.f64 (sqrt.f64 5) 1))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (.f64 (sqrt.f64 2) (.f64 -1/16 (pow.f64 (sin.f64 y) 2))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (/.f64 4 (+.f64 3 (sqrt.f64 5))) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (.f64 (pow.f64 (sin.f64 x) 2) (.f64 -1/16 (sqrt.f64 2))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (/.f64 4 (+.f64 3 (sqrt.f64 5))) 2) (cos.f64 y)))))

Outputs

(/.f64 (+.f64 (*.f64 (sqrt.f64 2) (*.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (*.f64 -1/16 (pow.f64 (sin.f64 x) 2)))) 2) (+.f64 3 (+.f64 (*.f64 (cos.f64 y) (-.f64 9/2 (*.f64 3/2 (sqrt.f64 5)))) (/.f64 6 (/.f64 (+.f64 (sqrt.f64 5) 1) (cos.f64 x))))))

(/.f64 (+.f64 (*.f64 (*.f64 (sqrt.f64 2) (-.f64 1 (cos.f64 y))) (*.f64 (sin.f64 y) (+.f64 (*.f64 x 257/256) (*.f64 -1/16 (sin.f64 y))))) 2) (+.f64 3 (+.f64 (*.f64 (cos.f64 y) (-.f64 9/2 (*.f64 3/2 (sqrt.f64 5)))) (/.f64 6 (/.f64 (+.f64 (sqrt.f64 5) 1) (cos.f64 x))))))

(/.f64 (+.f64 (*.f64 -1/16 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1)))) 2) (+.f64 3 (+.f64 (*.f64 (cos.f64 y) (-.f64 9/2 (*.f64 3/2 (sqrt.f64 5)))) (/.f64 6 (/.f64 (+.f64 (sqrt.f64 5) 1) (cos.f64 x))))))

Calls

2 calls:

91.0ms	x
64.0ms	y

Results

Error	Segments	Branch
13.5b	3	`x`
13.6b	3	`y`

Compiler

Compiled 1426 to 1156 computations (18.9% saved)

bsearch535.0ms (1.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
253.0ms	7.767354888146388e-13	8154.766831066893
281.0ms	-0.0008919942167208584	-6.90811036180353e-5

Compiler

Compiled 57 to 44 computations (22.8% saved)

regimes204.0ms (0.6%)

Counts

32 → 3

Calls

Call 1

Inputs
(/.f64 2/3 (+.f64 1 (+.f64 (.f64 1/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))) (*.f64 2 (/.f64 1 (+.f64 (sqrt.f64 5) 3))))))
(/.f64 2/3 (+.f64 1 (fma.f64 (cos.f64 x) (fma.f64 1/2 (sqrt.f64 5) -1/2) (/.f64 2 (+.f64 (sqrt.f64 5) 3)))))
(/.f64 (+.f64 2 (.f64 (pow.f64 x 4) (.f64 1/32 (sqrt.f64 2)))) (-.f64 (+.f64 15/2 (.f64 6 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1)))) (.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (pow.f64 x 4) (.f64 -1/2 (sqrt.f64 2))))) (-.f64 (+.f64 15/2 (.f64 6 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1)))) (*.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (pow.f64 x 4) (.f64 -1/2 (sqrt.f64 2))))) (-.f64 (+.f64 15/2 (.f64 6 (+.f64 (/.f64 1 (+.f64 (sqrt.f64 5) 1)) (.f64 (.f64 x (/.f64 x (+.f64 (sqrt.f64 5) 1))) (+.f64 -1/2 (.f64 (.f64 x x) 1/24)))))) (*.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (/.f64 6 (+.f64 (sqrt.f64 5) 1))) (.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (pow.f64 x 4) (.f64 -1/2 (sqrt.f64 2))))) (+.f64 (/.f64 6 (+.f64 1 (sqrt.f64 5))) (+.f64 (fma.f64 (sqrt.f64 5) -3/2 15/2) (.f64 (.f64 x (/.f64 x (+.f64 1 (sqrt.f64 5)))) (+.f64 -3 (.f64 x (*.f64 x 1/4)))))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (pow.f64 x 4) (.f64 -1/2 (sqrt.f64 2))))) (-.f64 (+.f64 15/2 (pow.f64 (cbrt.f64 (/.f64 6 (/.f64 (+.f64 (sqrt.f64 5) 1) (cos.f64 x)))) 3)) (.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (/.f64 (.f64 6 (cos.f64 x)) (+.f64 (sqrt.f64 5) 1))) (*.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (/.f64 6 (/.f64 (+.f64 (sqrt.f64 5) 1) (cos.f64 x)))) (.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (.f64 6 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1)))) (*.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (.f64 6 (.f64 (/.f64 (cos.f64 x) 4) (+.f64 (sqrt.f64 5) -1)))) (.f64 3/2 (sqrt.f64 5))))
(.f64 1/3 (/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2))))) (+.f64 1 (+.f64 (.f64 1/2 (-.f64 (sqrt.f64 5) 1)) (.f64 2 (/.f64 (cos.f64 y) (+.f64 (sqrt.f64 5) 3)))))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2))))) (+.f64 3 (+.f64 (.f64 6 (/.f64 1 (+.f64 (sqrt.f64 5) 1))) (.f64 (cos.f64 y) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5)))))))
(/.f64 (+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1)))) 2) (+.f64 3 (+.f64 (.f64 (cos.f64 y) (-.f64 9/2 (*.f64 3/2 (sqrt.f64 5)))) (/.f64 6 (/.f64 (+.f64 (sqrt.f64 5) 1) (cos.f64 x))))))
(/.f64 (+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2)))) 2) (+.f64 3 (+.f64 (.f64 (cos.f64 y) (-.f64 9/2 (*.f64 3/2 (sqrt.f64 5)))) (/.f64 6 (/.f64 (+.f64 (sqrt.f64 5) 1) (cos.f64 x))))))
(/.f64 (+.f64 2 (.f64 (.f64 (sqrt.f64 2) (.f64 -1/16 (pow.f64 (sin.f64 y) 2))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 1/2 (-.f64 (sqrt.f64 5) 1))) (.f64 (/.f64 (/.f64 4 (+.f64 3 (sqrt.f64 5))) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (.f64 (sqrt.f64 2) (.f64 -1/16 (pow.f64 (sin.f64 y) 2))) (-.f64 1 (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (/.f64 4 (+.f64 3 (sqrt.f64 5))) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (.f64 (sqrt.f64 2) (.f64 -1/16 (pow.f64 (sin.f64 y) 2))) (-.f64 (cos.f64 x) 1))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (/.f64 4 (+.f64 3 (sqrt.f64 5))) 2) (cos.f64 y)))))
(/.f64 (+.f64 (.f64 (.f64 (sqrt.f64 2) (-.f64 1 (cos.f64 y))) (.f64 (sin.f64 y) (+.f64 (.f64 x 257/256) (.f64 -1/16 (sin.f64 y))))) 2) (+.f64 3 (+.f64 (.f64 (cos.f64 y) (-.f64 9/2 (*.f64 3/2 (sqrt.f64 5)))) (/.f64 6 (/.f64 (+.f64 (sqrt.f64 5) 1) (cos.f64 x))))))
(/.f64 (+.f64 2/3 (.f64 (.f64 (sqrt.f64 2) (*.f64 (pow.f64 (sin.f64 y) 2) (-.f64 1 (cos.f64 y)))) -1/48)) (fma.f64 2 (/.f64 (cos.f64 y) (+.f64 (sqrt.f64 5) 3)) (+.f64 1 (fma.f64 1/2 (sqrt.f64 5) -1/2))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (log1p.f64 (expm1.f64 (/.f64 6 (/.f64 (+.f64 (sqrt.f64 5) 1) (cos.f64 x)))))) (.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (.f64 6 (log.f64 (exp.f64 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1)))))) (*.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (log.f64 (exp.f64 (/.f64 6 (/.f64 (+.f64 (sqrt.f64 5) 1) (cos.f64 x)))))) (.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (cbrt.f64 (pow.f64 (/.f64 6 (/.f64 (+.f64 (sqrt.f64 5) 1) (cos.f64 x))) 3))) (.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 (cos.f64 x) -1)) 3))))) (-.f64 (+.f64 15/2 (.f64 6 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1)))) (*.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (.f64 6 (pow.f64 (cbrt.f64 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1))) 3))) (*.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (sqrt.f64 (pow.f64 (+.f64 (cos.f64 x) -1) 2)))))) (-.f64 (+.f64 15/2 (.f64 6 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1)))) (*.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (pow.f64 (cbrt.f64 (/.f64 6 (/.f64 (+.f64 (sqrt.f64 5) 1) (cos.f64 x)))) 3)) (.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (.f64 6 (-.f64 (exp.f64 (log1p.f64 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1)))) 1))) (*.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (.f64 6 (log.f64 (+.f64 1 (expm1.f64 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1))))))) (*.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 -1/16 (pow.f64 (sin.f64 y) 2)))) 2) (+.f64 3 (+.f64 (.f64 (cos.f64 y) (-.f64 9/2 (*.f64 3/2 (sqrt.f64 5)))) (/.f64 6 (/.f64 (+.f64 (sqrt.f64 5) 1) (cos.f64 x))))))

Outputs

(/.f64 (+.f64 (*.f64 -1/16 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1)))) 2) (+.f64 3 (+.f64 (*.f64 (cos.f64 y) (-.f64 9/2 (*.f64 3/2 (sqrt.f64 5)))) (/.f64 6 (/.f64 (+.f64 (sqrt.f64 5) 1) (cos.f64 x))))))

(/.f64 (+.f64 (*.f64 (*.f64 (sqrt.f64 2) (-.f64 1 (cos.f64 y))) (*.f64 (sin.f64 y) (+.f64 (*.f64 x 257/256) (*.f64 -1/16 (sin.f64 y))))) 2) (+.f64 3 (+.f64 (*.f64 (cos.f64 y) (-.f64 9/2 (*.f64 3/2 (sqrt.f64 5)))) (/.f64 6 (/.f64 (+.f64 (sqrt.f64 5) 1) (cos.f64 x))))))

(/.f64 (+.f64 (*.f64 -1/16 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1)))) 2) (+.f64 3 (+.f64 (*.f64 (cos.f64 y) (-.f64 9/2 (*.f64 3/2 (sqrt.f64 5)))) (/.f64 6 (/.f64 (+.f64 (sqrt.f64 5) 1) (cos.f64 x))))))

Calls

2 calls:

82.0ms	x
79.0ms	y

Results

Error	Segments	Branch
13.5b	3	`x`
13.6b	3	`y`

Compiler

Compiled 1135 to 946 computations (16.7% saved)

bsearch282.0ms (0.9%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
135.0ms	7.767354888146388e-13	8154.766831066893
146.0ms	-0.0008919942167208584	-6.90811036180353e-5

Compiler

Compiled 57 to 44 computations (22.8% saved)

regimes74.0ms (0.2%)

Counts

19 → 3

Calls

Call 1

Inputs
(/.f64 2/3 (+.f64 1 (+.f64 (.f64 1/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))) (*.f64 2 (/.f64 1 (+.f64 (sqrt.f64 5) 3))))))
(/.f64 2/3 (+.f64 1 (fma.f64 (cos.f64 x) (fma.f64 1/2 (sqrt.f64 5) -1/2) (/.f64 2 (+.f64 (sqrt.f64 5) 3)))))
(/.f64 (+.f64 2 (.f64 (pow.f64 x 4) (.f64 1/32 (sqrt.f64 2)))) (-.f64 (+.f64 15/2 (.f64 6 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1)))) (.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (pow.f64 x 4) (.f64 -1/2 (sqrt.f64 2))))) (-.f64 (+.f64 15/2 (.f64 6 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1)))) (*.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (pow.f64 x 4) (.f64 -1/2 (sqrt.f64 2))))) (-.f64 (+.f64 15/2 (.f64 6 (+.f64 (/.f64 1 (+.f64 (sqrt.f64 5) 1)) (.f64 (.f64 x (/.f64 x (+.f64 (sqrt.f64 5) 1))) (+.f64 -1/2 (.f64 (.f64 x x) 1/24)))))) (*.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (/.f64 6 (+.f64 (sqrt.f64 5) 1))) (.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (pow.f64 x 4) (.f64 -1/2 (sqrt.f64 2))))) (+.f64 (/.f64 6 (+.f64 1 (sqrt.f64 5))) (+.f64 (fma.f64 (sqrt.f64 5) -3/2 15/2) (.f64 (.f64 x (/.f64 x (+.f64 1 (sqrt.f64 5)))) (+.f64 -3 (.f64 x (*.f64 x 1/4)))))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (pow.f64 x 4) (.f64 -1/2 (sqrt.f64 2))))) (-.f64 (+.f64 15/2 (pow.f64 (cbrt.f64 (/.f64 6 (/.f64 (+.f64 (sqrt.f64 5) 1) (cos.f64 x)))) 3)) (.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (/.f64 (.f64 6 (cos.f64 x)) (+.f64 (sqrt.f64 5) 1))) (*.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (/.f64 6 (/.f64 (+.f64 (sqrt.f64 5) 1) (cos.f64 x)))) (.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (.f64 6 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1)))) (*.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (.f64 6 (.f64 (/.f64 (cos.f64 x) 4) (+.f64 (sqrt.f64 5) -1)))) (.f64 3/2 (sqrt.f64 5))))
(.f64 1/3 (/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2))))) (+.f64 1 (+.f64 (.f64 1/2 (-.f64 (sqrt.f64 5) 1)) (.f64 2 (/.f64 (cos.f64 y) (+.f64 (sqrt.f64 5) 3)))))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2))))) (+.f64 3 (+.f64 (.f64 6 (/.f64 1 (+.f64 (sqrt.f64 5) 1))) (.f64 (cos.f64 y) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5)))))))
(/.f64 (+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1)))) 2) (+.f64 3 (+.f64 (.f64 (cos.f64 y) (-.f64 9/2 (*.f64 3/2 (sqrt.f64 5)))) (/.f64 6 (/.f64 (+.f64 (sqrt.f64 5) 1) (cos.f64 x))))))
(/.f64 (+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2)))) 2) (+.f64 3 (+.f64 (.f64 (cos.f64 y) (-.f64 9/2 (*.f64 3/2 (sqrt.f64 5)))) (/.f64 6 (/.f64 (+.f64 (sqrt.f64 5) 1) (cos.f64 x))))))
(/.f64 (+.f64 2 (.f64 (.f64 (sqrt.f64 2) (.f64 -1/16 (pow.f64 (sin.f64 y) 2))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 1/2 (-.f64 (sqrt.f64 5) 1))) (.f64 (/.f64 (/.f64 4 (+.f64 3 (sqrt.f64 5))) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (.f64 (sqrt.f64 2) (.f64 -1/16 (pow.f64 (sin.f64 y) 2))) (-.f64 1 (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (/.f64 4 (+.f64 3 (sqrt.f64 5))) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (.f64 (sqrt.f64 2) (.f64 -1/16 (pow.f64 (sin.f64 y) 2))) (-.f64 (cos.f64 x) 1))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (/.f64 4 (+.f64 3 (sqrt.f64 5))) 2) (cos.f64 y)))))

Outputs

(/.f64 (+.f64 (*.f64 -1/16 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1)))) 2) (+.f64 3 (+.f64 (*.f64 (cos.f64 y) (-.f64 9/2 (*.f64 3/2 (sqrt.f64 5)))) (/.f64 6 (/.f64 (+.f64 (sqrt.f64 5) 1) (cos.f64 x))))))

(/.f64 (+.f64 (*.f64 -1/16 (*.f64 (sqrt.f64 2) (*.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2)))) 2) (+.f64 3 (+.f64 (*.f64 (cos.f64 y) (-.f64 9/2 (*.f64 3/2 (sqrt.f64 5)))) (/.f64 6 (/.f64 (+.f64 (sqrt.f64 5) 1) (cos.f64 x))))))

(/.f64 (+.f64 (*.f64 -1/16 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1)))) 2) (+.f64 3 (+.f64 (*.f64 (cos.f64 y) (-.f64 9/2 (*.f64 3/2 (sqrt.f64 5)))) (/.f64 6 (/.f64 (+.f64 (sqrt.f64 5) 1) (cos.f64 x))))))

Calls

2 calls:

28.0ms	y
28.0ms	x

Results

Error	Segments	Branch
13.6b	3	`x`
13.7b	3	`y`

Compiler

Compiled 661 to 560 computations (15.3% saved)

bsearch284.0ms (0.9%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
148.0ms	7.767354888146388e-13	8154.766831066893
136.0ms	-0.0008919942167208584	-6.90811036180353e-5

Compiler

Compiled 57 to 44 computations (22.8% saved)

regimes92.0ms (0.3%)

Counts

15 → 3

Calls

Call 1

Inputs
(/.f64 2/3 (+.f64 1 (+.f64 (.f64 1/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))) (*.f64 2 (/.f64 1 (+.f64 (sqrt.f64 5) 3))))))
(/.f64 2/3 (+.f64 1 (fma.f64 (cos.f64 x) (fma.f64 1/2 (sqrt.f64 5) -1/2) (/.f64 2 (+.f64 (sqrt.f64 5) 3)))))
(/.f64 (+.f64 2 (.f64 (pow.f64 x 4) (.f64 1/32 (sqrt.f64 2)))) (-.f64 (+.f64 15/2 (.f64 6 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1)))) (.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (pow.f64 x 4) (.f64 -1/2 (sqrt.f64 2))))) (-.f64 (+.f64 15/2 (.f64 6 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1)))) (*.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (pow.f64 x 4) (.f64 -1/2 (sqrt.f64 2))))) (-.f64 (+.f64 15/2 (.f64 6 (+.f64 (/.f64 1 (+.f64 (sqrt.f64 5) 1)) (.f64 (.f64 x (/.f64 x (+.f64 (sqrt.f64 5) 1))) (+.f64 -1/2 (.f64 (.f64 x x) 1/24)))))) (*.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (/.f64 6 (+.f64 (sqrt.f64 5) 1))) (.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (pow.f64 x 4) (.f64 -1/2 (sqrt.f64 2))))) (+.f64 (/.f64 6 (+.f64 1 (sqrt.f64 5))) (+.f64 (fma.f64 (sqrt.f64 5) -3/2 15/2) (.f64 (.f64 x (/.f64 x (+.f64 1 (sqrt.f64 5)))) (+.f64 -3 (.f64 x (*.f64 x 1/4)))))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (pow.f64 x 4) (.f64 -1/2 (sqrt.f64 2))))) (-.f64 (+.f64 15/2 (pow.f64 (cbrt.f64 (/.f64 6 (/.f64 (+.f64 (sqrt.f64 5) 1) (cos.f64 x)))) 3)) (.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (/.f64 (.f64 6 (cos.f64 x)) (+.f64 (sqrt.f64 5) 1))) (*.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (/.f64 6 (/.f64 (+.f64 (sqrt.f64 5) 1) (cos.f64 x)))) (.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (.f64 6 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1)))) (*.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (.f64 6 (.f64 (/.f64 (cos.f64 x) 4) (+.f64 (sqrt.f64 5) -1)))) (.f64 3/2 (sqrt.f64 5))))
(.f64 1/3 (/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2))))) (+.f64 1 (+.f64 (.f64 1/2 (-.f64 (sqrt.f64 5) 1)) (.f64 2 (/.f64 (cos.f64 y) (+.f64 (sqrt.f64 5) 3)))))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2))))) (+.f64 3 (+.f64 (.f64 6 (/.f64 1 (+.f64 (sqrt.f64 5) 1))) (.f64 (cos.f64 y) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5)))))))
(/.f64 (+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1)))) 2) (+.f64 3 (+.f64 (.f64 (cos.f64 y) (-.f64 9/2 (*.f64 3/2 (sqrt.f64 5)))) (/.f64 6 (/.f64 (+.f64 (sqrt.f64 5) 1) (cos.f64 x))))))

Outputs

(/.f64 (+.f64 (*.f64 -1/16 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1)))) 2) (+.f64 3 (+.f64 (*.f64 (cos.f64 y) (-.f64 9/2 (*.f64 3/2 (sqrt.f64 5)))) (/.f64 6 (/.f64 (+.f64 (sqrt.f64 5) 1) (cos.f64 x))))))

(/.f64 (+.f64 2 (*.f64 -1/16 (*.f64 (sqrt.f64 2) (*.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2))))) (+.f64 3 (+.f64 (*.f64 6 (/.f64 1 (+.f64 (sqrt.f64 5) 1))) (*.f64 (cos.f64 y) (-.f64 9/2 (*.f64 3/2 (sqrt.f64 5)))))))

(/.f64 (+.f64 (*.f64 -1/16 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1)))) 2) (+.f64 3 (+.f64 (*.f64 (cos.f64 y) (-.f64 9/2 (*.f64 3/2 (sqrt.f64 5)))) (/.f64 6 (/.f64 (+.f64 (sqrt.f64 5) 1) (cos.f64 x))))))

Calls

2 calls:

49.0ms	x
29.0ms	y

Results

Error	Segments	Branch
13.6b	3	`x`
14.3b	3	`y`

Compiler

Compiled 499 to 430 computations (13.8% saved)

bsearch361.0ms (1.1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
203.0ms	7.767354888146388e-13	8154.766831066893
158.0ms	-6.90811036180353e-5	-9.464683270532723e-20

Compiler

Compiled 57 to 44 computations (22.8% saved)

regimes102.0ms (0.3%)

Counts

14 → 3

Calls

Call 1

Inputs
(/.f64 2/3 (+.f64 1 (+.f64 (.f64 1/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))) (*.f64 2 (/.f64 1 (+.f64 (sqrt.f64 5) 3))))))
(/.f64 2/3 (+.f64 1 (fma.f64 (cos.f64 x) (fma.f64 1/2 (sqrt.f64 5) -1/2) (/.f64 2 (+.f64 (sqrt.f64 5) 3)))))
(/.f64 (+.f64 2 (.f64 (pow.f64 x 4) (.f64 1/32 (sqrt.f64 2)))) (-.f64 (+.f64 15/2 (.f64 6 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1)))) (.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (pow.f64 x 4) (.f64 -1/2 (sqrt.f64 2))))) (-.f64 (+.f64 15/2 (.f64 6 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1)))) (*.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (pow.f64 x 4) (.f64 -1/2 (sqrt.f64 2))))) (-.f64 (+.f64 15/2 (.f64 6 (+.f64 (/.f64 1 (+.f64 (sqrt.f64 5) 1)) (.f64 (.f64 x (/.f64 x (+.f64 (sqrt.f64 5) 1))) (+.f64 -1/2 (.f64 (.f64 x x) 1/24)))))) (*.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (/.f64 6 (+.f64 (sqrt.f64 5) 1))) (.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (pow.f64 x 4) (.f64 -1/2 (sqrt.f64 2))))) (+.f64 (/.f64 6 (+.f64 1 (sqrt.f64 5))) (+.f64 (fma.f64 (sqrt.f64 5) -3/2 15/2) (.f64 (.f64 x (/.f64 x (+.f64 1 (sqrt.f64 5)))) (+.f64 -3 (.f64 x (*.f64 x 1/4)))))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (pow.f64 x 4) (.f64 -1/2 (sqrt.f64 2))))) (-.f64 (+.f64 15/2 (pow.f64 (cbrt.f64 (/.f64 6 (/.f64 (+.f64 (sqrt.f64 5) 1) (cos.f64 x)))) 3)) (.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (/.f64 (.f64 6 (cos.f64 x)) (+.f64 (sqrt.f64 5) 1))) (*.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (/.f64 6 (/.f64 (+.f64 (sqrt.f64 5) 1) (cos.f64 x)))) (.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (.f64 6 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1)))) (*.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (.f64 6 (.f64 (/.f64 (cos.f64 x) 4) (+.f64 (sqrt.f64 5) -1)))) (.f64 3/2 (sqrt.f64 5))))
(.f64 1/3 (/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2))))) (+.f64 1 (+.f64 (.f64 1/2 (-.f64 (sqrt.f64 5) 1)) (.f64 2 (/.f64 (cos.f64 y) (+.f64 (sqrt.f64 5) 3)))))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2))))) (+.f64 3 (+.f64 (.f64 6 (/.f64 1 (+.f64 (sqrt.f64 5) 1))) (.f64 (cos.f64 y) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5)))))))

Outputs

(/.f64 (+.f64 2 (*.f64 -1/16 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (/.f64 (*.f64 6 (cos.f64 x)) (+.f64 (sqrt.f64 5) 1))) (*.f64 3/2 (sqrt.f64 5))))

(/.f64 (+.f64 2 (*.f64 -1/16 (*.f64 (sqrt.f64 2) (*.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2))))) (+.f64 3 (+.f64 (*.f64 6 (/.f64 1 (+.f64 (sqrt.f64 5) 1))) (*.f64 (cos.f64 y) (-.f64 9/2 (*.f64 3/2 (sqrt.f64 5)))))))

(/.f64 (+.f64 2 (*.f64 -1/16 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (/.f64 6 (/.f64 (+.f64 (sqrt.f64 5) 1) (cos.f64 x)))) (*.f64 3/2 (sqrt.f64 5))))

Calls

2 calls:

64.0ms	y
25.0ms	x

Results

Error	Segments	Branch
14.2b	3	`x`
14.3b	3	`y`

Compiler

Compiled 461 to 400 computations (13.2% saved)

bsearch513.0ms (1.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
242.0ms	7.767354888146388e-13	8154.766831066893
271.0ms	-6.90811036180353e-5	-9.464683270532723e-20

Compiler

Compiled 57 to 44 computations (22.8% saved)

regimes57.0ms (0.2%)

Counts

13 → 3

Calls

Call 1

Inputs
(/.f64 2/3 (+.f64 1 (+.f64 (.f64 1/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))) (*.f64 2 (/.f64 1 (+.f64 (sqrt.f64 5) 3))))))
(/.f64 2/3 (+.f64 1 (fma.f64 (cos.f64 x) (fma.f64 1/2 (sqrt.f64 5) -1/2) (/.f64 2 (+.f64 (sqrt.f64 5) 3)))))
(/.f64 (+.f64 2 (.f64 (pow.f64 x 4) (.f64 1/32 (sqrt.f64 2)))) (-.f64 (+.f64 15/2 (.f64 6 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1)))) (.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (pow.f64 x 4) (.f64 -1/2 (sqrt.f64 2))))) (-.f64 (+.f64 15/2 (.f64 6 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1)))) (*.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (pow.f64 x 4) (.f64 -1/2 (sqrt.f64 2))))) (-.f64 (+.f64 15/2 (.f64 6 (+.f64 (/.f64 1 (+.f64 (sqrt.f64 5) 1)) (.f64 (.f64 x (/.f64 x (+.f64 (sqrt.f64 5) 1))) (+.f64 -1/2 (.f64 (.f64 x x) 1/24)))))) (*.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (/.f64 6 (+.f64 (sqrt.f64 5) 1))) (.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (pow.f64 x 4) (.f64 -1/2 (sqrt.f64 2))))) (+.f64 (/.f64 6 (+.f64 1 (sqrt.f64 5))) (+.f64 (fma.f64 (sqrt.f64 5) -3/2 15/2) (.f64 (.f64 x (/.f64 x (+.f64 1 (sqrt.f64 5)))) (+.f64 -3 (.f64 x (*.f64 x 1/4)))))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (pow.f64 x 4) (.f64 -1/2 (sqrt.f64 2))))) (-.f64 (+.f64 15/2 (pow.f64 (cbrt.f64 (/.f64 6 (/.f64 (+.f64 (sqrt.f64 5) 1) (cos.f64 x)))) 3)) (.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (/.f64 (.f64 6 (cos.f64 x)) (+.f64 (sqrt.f64 5) 1))) (*.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (/.f64 6 (/.f64 (+.f64 (sqrt.f64 5) 1) (cos.f64 x)))) (.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (.f64 6 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1)))) (*.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (.f64 6 (.f64 (/.f64 (cos.f64 x) 4) (+.f64 (sqrt.f64 5) -1)))) (.f64 3/2 (sqrt.f64 5))))
(.f64 1/3 (/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2))))) (+.f64 1 (+.f64 (.f64 1/2 (-.f64 (sqrt.f64 5) 1)) (.f64 2 (/.f64 (cos.f64 y) (+.f64 (sqrt.f64 5) 3)))))))

Outputs

(/.f64 (+.f64 2 (*.f64 -1/16 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (/.f64 (*.f64 6 (cos.f64 x)) (+.f64 (sqrt.f64 5) 1))) (*.f64 3/2 (sqrt.f64 5))))

(*.f64 1/3 (/.f64 (+.f64 2 (*.f64 -1/16 (*.f64 (sqrt.f64 2) (*.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2))))) (+.f64 1 (+.f64 (*.f64 1/2 (-.f64 (sqrt.f64 5) 1)) (*.f64 2 (/.f64 (cos.f64 y) (+.f64 (sqrt.f64 5) 3)))))))

(/.f64 (+.f64 2 (*.f64 -1/16 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (/.f64 6 (/.f64 (+.f64 (sqrt.f64 5) 1) (cos.f64 x)))) (*.f64 3/2 (sqrt.f64 5))))

Calls

2 calls:

23.0ms	y
22.0ms	x

Results

Error	Segments	Branch
14.3b	3	`x`
14.4b	3	`y`

Compiler

Compiled 424 to 369 computations (13% saved)

bsearch340.0ms (1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
146.0ms	7.767354888146388e-13	8154.766831066893
193.0ms	-6.90811036180353e-5	-9.464683270532723e-20

Compiler

Compiled 57 to 44 computations (22.8% saved)

regimes32.0ms (0.1%)

Counts

12 → 1

Calls

Call 1

Inputs
(/.f64 2/3 (+.f64 1 (+.f64 (.f64 1/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))) (*.f64 2 (/.f64 1 (+.f64 (sqrt.f64 5) 3))))))
(/.f64 2/3 (+.f64 1 (fma.f64 (cos.f64 x) (fma.f64 1/2 (sqrt.f64 5) -1/2) (/.f64 2 (+.f64 (sqrt.f64 5) 3)))))
(/.f64 (+.f64 2 (.f64 (pow.f64 x 4) (.f64 1/32 (sqrt.f64 2)))) (-.f64 (+.f64 15/2 (.f64 6 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1)))) (.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (pow.f64 x 4) (.f64 -1/2 (sqrt.f64 2))))) (-.f64 (+.f64 15/2 (.f64 6 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1)))) (*.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (pow.f64 x 4) (.f64 -1/2 (sqrt.f64 2))))) (-.f64 (+.f64 15/2 (.f64 6 (+.f64 (/.f64 1 (+.f64 (sqrt.f64 5) 1)) (.f64 (.f64 x (/.f64 x (+.f64 (sqrt.f64 5) 1))) (+.f64 -1/2 (.f64 (.f64 x x) 1/24)))))) (*.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (/.f64 6 (+.f64 (sqrt.f64 5) 1))) (.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (pow.f64 x 4) (.f64 -1/2 (sqrt.f64 2))))) (+.f64 (/.f64 6 (+.f64 1 (sqrt.f64 5))) (+.f64 (fma.f64 (sqrt.f64 5) -3/2 15/2) (.f64 (.f64 x (/.f64 x (+.f64 1 (sqrt.f64 5)))) (+.f64 -3 (.f64 x (*.f64 x 1/4)))))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (pow.f64 x 4) (.f64 -1/2 (sqrt.f64 2))))) (-.f64 (+.f64 15/2 (pow.f64 (cbrt.f64 (/.f64 6 (/.f64 (+.f64 (sqrt.f64 5) 1) (cos.f64 x)))) 3)) (.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (/.f64 (.f64 6 (cos.f64 x)) (+.f64 (sqrt.f64 5) 1))) (*.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (/.f64 6 (/.f64 (+.f64 (sqrt.f64 5) 1) (cos.f64 x)))) (.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (.f64 6 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1)))) (*.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (.f64 6 (.f64 (/.f64 (cos.f64 x) 4) (+.f64 (sqrt.f64 5) -1)))) (.f64 3/2 (sqrt.f64 5))))

Outputs

(/.f64 (+.f64 2 (*.f64 -1/16 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (/.f64 6 (/.f64 (+.f64 (sqrt.f64 5) 1) (cos.f64 x)))) (*.f64 3/2 (sqrt.f64 5))))

Calls

2 calls:

10.0ms	x
8.0ms	y

Results

Error	Segments	Branch
26.7b	1	`x`
26.7b	1	`y`

Compiler

Compiled 387 to 336 computations (13.2% saved)

regimes38.0ms (0.1%)

Counts

9 → 1

Calls

Call 1

Inputs
(/.f64 2/3 (+.f64 1 (+.f64 (.f64 1/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))) (*.f64 2 (/.f64 1 (+.f64 (sqrt.f64 5) 3))))))
(/.f64 2/3 (+.f64 1 (fma.f64 (cos.f64 x) (fma.f64 1/2 (sqrt.f64 5) -1/2) (/.f64 2 (+.f64 (sqrt.f64 5) 3)))))
(/.f64 (+.f64 2 (.f64 (pow.f64 x 4) (.f64 1/32 (sqrt.f64 2)))) (-.f64 (+.f64 15/2 (.f64 6 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1)))) (.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (pow.f64 x 4) (.f64 -1/2 (sqrt.f64 2))))) (-.f64 (+.f64 15/2 (.f64 6 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1)))) (*.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (pow.f64 x 4) (.f64 -1/2 (sqrt.f64 2))))) (-.f64 (+.f64 15/2 (.f64 6 (+.f64 (/.f64 1 (+.f64 (sqrt.f64 5) 1)) (.f64 (.f64 x (/.f64 x (+.f64 (sqrt.f64 5) 1))) (+.f64 -1/2 (.f64 (.f64 x x) 1/24)))))) (*.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (/.f64 6 (+.f64 (sqrt.f64 5) 1))) (.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (pow.f64 x 4) (.f64 -1/2 (sqrt.f64 2))))) (+.f64 (/.f64 6 (+.f64 1 (sqrt.f64 5))) (+.f64 (fma.f64 (sqrt.f64 5) -3/2 15/2) (.f64 (.f64 x (/.f64 x (+.f64 1 (sqrt.f64 5)))) (+.f64 -3 (.f64 x (*.f64 x 1/4)))))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (pow.f64 x 4) (.f64 -1/2 (sqrt.f64 2))))) (-.f64 (+.f64 15/2 (pow.f64 (cbrt.f64 (/.f64 6 (/.f64 (+.f64 (sqrt.f64 5) 1) (cos.f64 x)))) 3)) (.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (/.f64 (.f64 6 (cos.f64 x)) (+.f64 (sqrt.f64 5) 1))) (*.f64 3/2 (sqrt.f64 5))))

Outputs

(/.f64 (+.f64 2 (*.f64 -1/16 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (/.f64 (*.f64 6 (cos.f64 x)) (+.f64 (sqrt.f64 5) 1))) (*.f64 3/2 (sqrt.f64 5))))

Calls

2 calls:

14.0ms	x
14.0ms	y

Results

Error	Segments	Branch
26.7b	1	`x`
26.7b	1	`y`

Compiler

Compiled 286 to 253 computations (11.5% saved)

regimes39.0ms (0.1%)

Accuracy

Total -8.5b remaining (-22.8%)

Threshold costs -8.5b (-22.8%)

Counts

8 → 1

Calls

Call 1

Inputs
(/.f64 2/3 (+.f64 1 (+.f64 (.f64 1/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))) (*.f64 2 (/.f64 1 (+.f64 (sqrt.f64 5) 3))))))
(/.f64 2/3 (+.f64 1 (fma.f64 (cos.f64 x) (fma.f64 1/2 (sqrt.f64 5) -1/2) (/.f64 2 (+.f64 (sqrt.f64 5) 3)))))
(/.f64 (+.f64 2 (.f64 (pow.f64 x 4) (.f64 1/32 (sqrt.f64 2)))) (-.f64 (+.f64 15/2 (.f64 6 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1)))) (.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (pow.f64 x 4) (.f64 -1/2 (sqrt.f64 2))))) (-.f64 (+.f64 15/2 (.f64 6 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1)))) (*.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (pow.f64 x 4) (.f64 -1/2 (sqrt.f64 2))))) (-.f64 (+.f64 15/2 (.f64 6 (+.f64 (/.f64 1 (+.f64 (sqrt.f64 5) 1)) (.f64 (.f64 x (/.f64 x (+.f64 (sqrt.f64 5) 1))) (+.f64 -1/2 (.f64 (.f64 x x) 1/24)))))) (*.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (/.f64 6 (+.f64 (sqrt.f64 5) 1))) (.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (pow.f64 x 4) (.f64 -1/2 (sqrt.f64 2))))) (+.f64 (/.f64 6 (+.f64 1 (sqrt.f64 5))) (+.f64 (fma.f64 (sqrt.f64 5) -3/2 15/2) (.f64 (.f64 x (/.f64 x (+.f64 1 (sqrt.f64 5)))) (+.f64 -3 (.f64 x (*.f64 x 1/4)))))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (pow.f64 x 4) (.f64 -1/2 (sqrt.f64 2))))) (-.f64 (+.f64 15/2 (pow.f64 (cbrt.f64 (/.f64 6 (/.f64 (+.f64 (sqrt.f64 5) 1) (cos.f64 x)))) 3)) (.f64 3/2 (sqrt.f64 5))))

Outputs
(/.f64 2/3 (+.f64 1 (fma.f64 (cos.f64 x) (fma.f64 1/2 (sqrt.f64 5) -1/2) (/.f64 2 (+.f64 (sqrt.f64 5) 3)))))

Calls

2 calls:

13.0ms	y
11.0ms	x

Results

Error	Segments	Branch
37.1b	1	`x`
37.1b	1	`y`

Compiler

Compiled 253 to 226 computations (10.7% saved)

simplify112.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

56×	`*-commutative_binary64`
53×	`+-commutative_binary64`
15×	`sub-neg_binary64`
6×	`cancel-sign-sub-inv_binary64`
6×	`neg-sub0_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	196	2355
1	310	2353
2	338	2353
3	349	2353
4	355	2353
5	356	2353

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(/.f64 (+.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x)) (+.f64 (.f64 -1/16 (sin.f64 x)) (sin.f64 y))))) 2) (+.f64 3 (+.f64 (.f64 (cos.f64 y) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5)))) (.f64 (cos.f64 x) (/.f64 6 (+.f64 1 (sqrt.f64 5)))))))
(/.f64 (+.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x)) (+.f64 (.f64 -1/16 (sin.f64 x)) (sin.f64 y))))) 2) (+.f64 3 (+.f64 (.f64 (cos.f64 y) (+.f64 (neg.f64 (sqrt.f64 45/4)) 9/2)) (/.f64 6 (/.f64 (+.f64 (sqrt.f64 5) 1) (cos.f64 x))))))
(if (<=.f64 x -514199657221209/576460752303423488) (/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (sin.f64 x)) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (/.f64 4 (+.f64 3 (sqrt.f64 5))) 2) (cos.f64 y))))) (if (<=.f64 x 961551961537543/1237940039285380274899124224) (/.f64 (+.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (.f64 (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x)) (+.f64 (.f64 -1/16 (sin.f64 x)) (sin.f64 y))))) 2) (+.f64 3 (+.f64 (.f64 (cos.f64 y) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5)))) (/.f64 6 (/.f64 (+.f64 (sqrt.f64 5) 1) (cos.f64 x)))))) (/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (sin.f64 x)) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (/.f64 (cos.f64 x) (.f64 1/2 (+.f64 (sqrt.f64 5) 1)))) (*.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))))
(if (<=.f64 x -514199657221209/576460752303423488) (/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (sin.f64 x)) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (/.f64 (cos.f64 x) (.f64 1/2 (+.f64 (sqrt.f64 5) 1)))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y))))) (if (<=.f64 x 961551961537543/1237940039285380274899124224) (/.f64 (+.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (.f64 (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x)) (+.f64 (.f64 -1/16 (sin.f64 x)) (sin.f64 y))))) 2) (+.f64 3 (+.f64 (.f64 (cos.f64 y) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5)))) (/.f64 6 (/.f64 (+.f64 (sqrt.f64 5) 1) (cos.f64 x)))))) (/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (sin.f64 x)) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (/.f64 (cos.f64 x) (.f64 1/2 (+.f64 (sqrt.f64 5) 1)))) (*.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))))
(if (<=.f64 x -5097285755085233/73786976294838206464) (/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (sin.f64 x)) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (/.f64 (cos.f64 x) (.f64 1/2 (+.f64 (sqrt.f64 5) 1)))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y))))) (if (<=.f64 x 961551961537543/1237940039285380274899124224) (/.f64 (+.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x)) (+.f64 (.f64 -1/16 (sin.f64 x)) (sin.f64 y))))) 2) (+.f64 3 (+.f64 (.f64 (cos.f64 y) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5)))) (/.f64 6 (+.f64 (sqrt.f64 5) 1))))) (/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (sin.f64 x)) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (/.f64 (cos.f64 x) (.f64 1/2 (+.f64 (sqrt.f64 5) 1)))) (*.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))))
(if (<=.f64 y -3369661724985411/2251799813685248) (/.f64 (+.f64 2 (.f64 (.f64 (sqrt.f64 2) (.f64 -1/16 (pow.f64 (sin.f64 y) 2))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (/.f64 4 (+.f64 3 (sqrt.f64 5))) 2) (cos.f64 y))))) (if (<=.f64 y 2463045809311157/147573952589676412928) (/.f64 (+.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (sin.f64 x) (+.f64 (.f64 -1/16 (sin.f64 x)) (.f64 y 257/256))))) 2) (+.f64 3 (+.f64 (.f64 (cos.f64 y) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5)))) (/.f64 6 (/.f64 (+.f64 (sqrt.f64 5) 1) (cos.f64 x)))))) (/.f64 (+.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 -1/16 (pow.f64 (sin.f64 y) 2)))) 2) (+.f64 3 (+.f64 (.f64 (cos.f64 y) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5)))) (/.f64 6 (/.f64 (+.f64 (sqrt.f64 5) 1) (cos.f64 x))))))))
(if (<=.f64 x -514199657221209/576460752303423488) (/.f64 (+.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 -1/16 (pow.f64 (sin.f64 x) 2)))) 2) (+.f64 3 (+.f64 (.f64 (cos.f64 y) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5)))) (/.f64 6 (/.f64 (+.f64 (sqrt.f64 5) 1) (cos.f64 x)))))) (if (<=.f64 x 961551961537543/1237940039285380274899124224) (/.f64 (+.f64 (.f64 (.f64 (sqrt.f64 2) (-.f64 1 (cos.f64 y))) (.f64 (sin.f64 y) (+.f64 (.f64 x 257/256) (.f64 -1/16 (sin.f64 y))))) 2) (+.f64 3 (+.f64 (.f64 (cos.f64 y) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5)))) (/.f64 6 (/.f64 (+.f64 (sqrt.f64 5) 1) (cos.f64 x)))))) (/.f64 (+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1)))) 2) (+.f64 3 (+.f64 (.f64 (cos.f64 y) (-.f64 9/2 (*.f64 3/2 (sqrt.f64 5)))) (/.f64 6 (/.f64 (+.f64 (sqrt.f64 5) 1) (cos.f64 x))))))))
(if (<=.f64 x -514199657221209/576460752303423488) (/.f64 (+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1)))) 2) (+.f64 3 (+.f64 (.f64 (cos.f64 y) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5)))) (/.f64 6 (/.f64 (+.f64 (sqrt.f64 5) 1) (cos.f64 x)))))) (if (<=.f64 x 961551961537543/1237940039285380274899124224) (/.f64 (+.f64 (.f64 (.f64 (sqrt.f64 2) (-.f64 1 (cos.f64 y))) (.f64 (sin.f64 y) (+.f64 (.f64 x 257/256) (.f64 -1/16 (sin.f64 y))))) 2) (+.f64 3 (+.f64 (.f64 (cos.f64 y) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5)))) (/.f64 6 (/.f64 (+.f64 (sqrt.f64 5) 1) (cos.f64 x)))))) (/.f64 (+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1)))) 2) (+.f64 3 (+.f64 (.f64 (cos.f64 y) (-.f64 9/2 (*.f64 3/2 (sqrt.f64 5)))) (/.f64 6 (/.f64 (+.f64 (sqrt.f64 5) 1) (cos.f64 x))))))))
(if (<=.f64 x -514199657221209/576460752303423488) (/.f64 (+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1)))) 2) (+.f64 3 (+.f64 (.f64 (cos.f64 y) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5)))) (/.f64 6 (/.f64 (+.f64 (sqrt.f64 5) 1) (cos.f64 x)))))) (if (<=.f64 x 961551961537543/1237940039285380274899124224) (/.f64 (+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2)))) 2) (+.f64 3 (+.f64 (.f64 (cos.f64 y) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5)))) (/.f64 6 (/.f64 (+.f64 (sqrt.f64 5) 1) (cos.f64 x)))))) (/.f64 (+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1)))) 2) (+.f64 3 (+.f64 (.f64 (cos.f64 y) (-.f64 9/2 (*.f64 3/2 (sqrt.f64 5)))) (/.f64 6 (/.f64 (+.f64 (sqrt.f64 5) 1) (cos.f64 x))))))))
(if (<=.f64 x -5097285755085233/73786976294838206464) (/.f64 (+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1)))) 2) (+.f64 3 (+.f64 (.f64 (cos.f64 y) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5)))) (/.f64 6 (/.f64 (+.f64 (sqrt.f64 5) 1) (cos.f64 x)))))) (if (<=.f64 x 961551961537543/1237940039285380274899124224) (/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2))))) (+.f64 3 (+.f64 (.f64 6 (/.f64 1 (+.f64 (sqrt.f64 5) 1))) (.f64 (cos.f64 y) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5))))))) (/.f64 (+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1)))) 2) (+.f64 3 (+.f64 (.f64 (cos.f64 y) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5)))) (/.f64 6 (/.f64 (+.f64 (sqrt.f64 5) 1) (cos.f64 x))))))))
(if (<=.f64 x -5097285755085233/73786976294838206464) (/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (/.f64 (.f64 6 (cos.f64 x)) (+.f64 (sqrt.f64 5) 1))) (.f64 3/2 (sqrt.f64 5)))) (if (<=.f64 x 961551961537543/1237940039285380274899124224) (/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2))))) (+.f64 3 (+.f64 (.f64 6 (/.f64 1 (+.f64 (sqrt.f64 5) 1))) (.f64 (cos.f64 y) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5))))))) (/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (/.f64 6 (/.f64 (+.f64 (sqrt.f64 5) 1) (cos.f64 x)))) (*.f64 3/2 (sqrt.f64 5))))))
(if (<=.f64 x -5097285755085233/73786976294838206464) (/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (/.f64 (.f64 6 (cos.f64 x)) (+.f64 (sqrt.f64 5) 1))) (.f64 3/2 (sqrt.f64 5)))) (if (<=.f64 x 961551961537543/1237940039285380274899124224) (.f64 1/3 (/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2))))) (+.f64 1 (+.f64 (.f64 1/2 (-.f64 (sqrt.f64 5) 1)) (.f64 2 (/.f64 (cos.f64 y) (+.f64 (sqrt.f64 5) 3))))))) (/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (/.f64 6 (/.f64 (+.f64 (sqrt.f64 5) 1) (cos.f64 x)))) (*.f64 3/2 (sqrt.f64 5))))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (/.f64 6 (/.f64 (+.f64 (sqrt.f64 5) 1) (cos.f64 x)))) (.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (/.f64 (.f64 6 (cos.f64 x)) (+.f64 (sqrt.f64 5) 1))) (*.f64 3/2 (sqrt.f64 5))))
(/.f64 2/3 (+.f64 1 (fma.f64 (cos.f64 x) (fma.f64 1/2 (sqrt.f64 5) -1/2) (/.f64 2 (+.f64 (sqrt.f64 5) 3)))))
(/.f64 2/3 (+.f64 1 (+.f64 (.f64 1/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))) (*.f64 2 (/.f64 1 (+.f64 (sqrt.f64 5) 3))))))

Outputs
(/.f64 (+.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x)) (+.f64 (.f64 -1/16 (sin.f64 x)) (sin.f64 y))))) 2) (+.f64 3 (+.f64 (.f64 (cos.f64 y) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5)))) (.f64 (cos.f64 x) (/.f64 6 (+.f64 1 (sqrt.f64 5)))))))
(/.f64 (+.f64 2 (.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x)) (+.f64 (sin.f64 y) (.f64 -1/16 (sin.f64 x))))))) (+.f64 3 (+.f64 (.f64 (cos.f64 y) (+.f64 9/2 (.f64 -3/2 (sqrt.f64 5)))) (.f64 (cos.f64 x) (/.f64 6 (+.f64 (sqrt.f64 5) 1))))))
(/.f64 (+.f64 2 (.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x)) (+.f64 (sin.f64 y) (.f64 -1/16 (sin.f64 x))))))) (+.f64 3 (+.f64 (.f64 (cos.f64 y) (+.f64 9/2 (.f64 (sqrt.f64 5) -3/2))) (.f64 (cos.f64 x) (/.f64 6 (+.f64 (sqrt.f64 5) 1))))))
(/.f64 (+.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x)) (+.f64 (.f64 -1/16 (sin.f64 x)) (sin.f64 y))))) 2) (+.f64 3 (+.f64 (.f64 (cos.f64 y) (+.f64 (neg.f64 (sqrt.f64 45/4)) 9/2)) (/.f64 6 (/.f64 (+.f64 (sqrt.f64 5) 1) (cos.f64 x))))))
(/.f64 (+.f64 2 (.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x)) (+.f64 (sin.f64 y) (.f64 -1/16 (sin.f64 x))))))) (+.f64 3 (+.f64 (.f64 (cos.f64 y) (+.f64 9/2 (neg.f64 (sqrt.f64 45/4)))) (/.f64 6 (/.f64 (+.f64 (sqrt.f64 5) 1) (cos.f64 x))))))
(/.f64 (+.f64 2 (.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x)) (+.f64 (sin.f64 y) (.f64 -1/16 (sin.f64 x))))))) (+.f64 3 (+.f64 (.f64 (cos.f64 y) (-.f64 9/2 (sqrt.f64 45/4))) (/.f64 6 (/.f64 (+.f64 (sqrt.f64 5) 1) (cos.f64 x))))))
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(if (<=.f64 x -514199657221209/576460752303423488) (/.f64 (+.f64 2 (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (.f64 (sqrt.f64 2) (sin.f64 x)) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))))) (.f64 3 (+.f64 (+.f64 1 (.f64 (cos.f64 x) (/.f64 (+.f64 (sqrt.f64 5) -1) 2))) (.f64 (cos.f64 y) (/.f64 (/.f64 4 (+.f64 3 (sqrt.f64 5))) 2))))) (if (<=.f64 x 961551961537543/1237940039285380274899124224) (/.f64 (+.f64 2 (.f64 (sqrt.f64 2) (.f64 (.f64 (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x)) (+.f64 (sin.f64 y) (.f64 -1/16 (sin.f64 x)))) (-.f64 1 (cos.f64 y))))) (+.f64 3 (+.f64 (.f64 (cos.f64 y) (+.f64 9/2 (.f64 (sqrt.f64 5) -3/2))) (/.f64 6 (/.f64 (+.f64 (sqrt.f64 5) 1) (cos.f64 x)))))) (/.f64 (+.f64 2 (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (.f64 (sqrt.f64 2) (sin.f64 x)) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))))) (.f64 3 (+.f64 (+.f64 1 (/.f64 (cos.f64 x) (.f64 (+.f64 (sqrt.f64 5) 1) 1/2))) (*.f64 (cos.f64 y) (/.f64 (-.f64 3 (sqrt.f64 5)) 2)))))))
(if (<=.f64 x -514199657221209/576460752303423488) (/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (sin.f64 x)) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (/.f64 (cos.f64 x) (.f64 1/2 (+.f64 (sqrt.f64 5) 1)))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y))))) (if (<=.f64 x 961551961537543/1237940039285380274899124224) (/.f64 (+.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (.f64 (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x)) (+.f64 (.f64 -1/16 (sin.f64 x)) (sin.f64 y))))) 2) (+.f64 3 (+.f64 (.f64 (cos.f64 y) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5)))) (/.f64 6 (/.f64 (+.f64 (sqrt.f64 5) 1) (cos.f64 x)))))) (/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (sin.f64 x)) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (/.f64 (cos.f64 x) (.f64 1/2 (+.f64 (sqrt.f64 5) 1)))) (*.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))))
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(if (<=.f64 x -5097285755085233/73786976294838206464) (/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1))))) (+.f64 3 (+.f64 (.f64 (cos.f64 y) (+.f64 9/2 (.f64 -3/2 (sqrt.f64 5)))) (/.f64 6 (/.f64 (+.f64 (sqrt.f64 5) 1) (cos.f64 x)))))) (if (<=.f64 x 961551961537543/1237940039285380274899124224) (/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2))))) (+.f64 3 (+.f64 (.f64 (cos.f64 y) (+.f64 9/2 (.f64 -3/2 (sqrt.f64 5)))) (.f64 6 (/.f64 1 (+.f64 (sqrt.f64 5) 1)))))) (/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1))))) (+.f64 3 (+.f64 (.f64 (cos.f64 y) (+.f64 9/2 (.f64 -3/2 (sqrt.f64 5)))) (/.f64 6 (/.f64 (+.f64 (sqrt.f64 5) 1) (cos.f64 x))))))))
(if (<=.f64 x -5097285755085233/73786976294838206464) (/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1))))) (+.f64 3 (+.f64 (.f64 (cos.f64 y) (+.f64 9/2 (.f64 (sqrt.f64 5) -3/2))) (/.f64 6 (/.f64 (+.f64 (sqrt.f64 5) 1) (cos.f64 x)))))) (if (<=.f64 x 961551961537543/1237940039285380274899124224) (/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2))))) (+.f64 3 (+.f64 (.f64 (cos.f64 y) (+.f64 9/2 (.f64 (sqrt.f64 5) -3/2))) (.f64 6 (/.f64 1 (+.f64 (sqrt.f64 5) 1)))))) (/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1))))) (+.f64 3 (+.f64 (.f64 (cos.f64 y) (+.f64 9/2 (.f64 (sqrt.f64 5) -3/2))) (/.f64 6 (/.f64 (+.f64 (sqrt.f64 5) 1) (cos.f64 x))))))))
(if (<=.f64 x -5097285755085233/73786976294838206464) (/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (/.f64 (.f64 6 (cos.f64 x)) (+.f64 (sqrt.f64 5) 1))) (.f64 3/2 (sqrt.f64 5)))) (if (<=.f64 x 961551961537543/1237940039285380274899124224) (/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2))))) (+.f64 3 (+.f64 (.f64 6 (/.f64 1 (+.f64 (sqrt.f64 5) 1))) (.f64 (cos.f64 y) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5))))))) (/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (/.f64 6 (/.f64 (+.f64 (sqrt.f64 5) 1) (cos.f64 x)))) (*.f64 3/2 (sqrt.f64 5))))))
(if (<=.f64 x -5097285755085233/73786976294838206464) (/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1))))) (+.f64 (+.f64 15/2 (/.f64 (.f64 (cos.f64 x) 6) (+.f64 (sqrt.f64 5) 1))) (.f64 -3/2 (sqrt.f64 5)))) (if (<=.f64 x 961551961537543/1237940039285380274899124224) (/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2))))) (+.f64 3 (+.f64 (.f64 (cos.f64 y) (+.f64 9/2 (.f64 -3/2 (sqrt.f64 5)))) (.f64 6 (/.f64 1 (+.f64 (sqrt.f64 5) 1)))))) (/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1))))) (+.f64 (+.f64 (/.f64 6 (/.f64 (+.f64 (sqrt.f64 5) 1) (cos.f64 x))) 15/2) (*.f64 -3/2 (sqrt.f64 5))))))
(if (<=.f64 x -5097285755085233/73786976294838206464) (/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1))))) (+.f64 (+.f64 15/2 (/.f64 (.f64 (cos.f64 x) 6) (+.f64 (sqrt.f64 5) 1))) (.f64 (sqrt.f64 5) -3/2))) (if (<=.f64 x 961551961537543/1237940039285380274899124224) (/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2))))) (+.f64 3 (+.f64 (.f64 (cos.f64 y) (+.f64 9/2 (.f64 (sqrt.f64 5) -3/2))) (.f64 6 (/.f64 1 (+.f64 (sqrt.f64 5) 1)))))) (/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1))))) (+.f64 (+.f64 (/.f64 6 (/.f64 (+.f64 (sqrt.f64 5) 1) (cos.f64 x))) 15/2) (*.f64 (sqrt.f64 5) -3/2)))))
(if (<=.f64 x -5097285755085233/73786976294838206464) (/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (/.f64 (.f64 6 (cos.f64 x)) (+.f64 (sqrt.f64 5) 1))) (.f64 3/2 (sqrt.f64 5)))) (if (<=.f64 x 961551961537543/1237940039285380274899124224) (.f64 1/3 (/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2))))) (+.f64 1 (+.f64 (.f64 1/2 (-.f64 (sqrt.f64 5) 1)) (.f64 2 (/.f64 (cos.f64 y) (+.f64 (sqrt.f64 5) 3))))))) (/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (/.f64 6 (/.f64 (+.f64 (sqrt.f64 5) 1) (cos.f64 x)))) (*.f64 3/2 (sqrt.f64 5))))))
(if (<=.f64 x -5097285755085233/73786976294838206464) (/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1))))) (+.f64 (+.f64 15/2 (/.f64 (.f64 (cos.f64 x) 6) (+.f64 (sqrt.f64 5) 1))) (.f64 -3/2 (sqrt.f64 5)))) (if (<=.f64 x 961551961537543/1237940039285380274899124224) (.f64 1/3 (/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2))))) (+.f64 1 (+.f64 (.f64 (+.f64 (sqrt.f64 5) -1) 1/2) (.f64 2 (/.f64 (cos.f64 y) (+.f64 3 (sqrt.f64 5)))))))) (/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1))))) (+.f64 (+.f64 (/.f64 6 (/.f64 (+.f64 (sqrt.f64 5) 1) (cos.f64 x))) 15/2) (*.f64 -3/2 (sqrt.f64 5))))))
(if (<=.f64 x -5097285755085233/73786976294838206464) (/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1))))) (+.f64 (+.f64 15/2 (/.f64 (.f64 (cos.f64 x) 6) (+.f64 (sqrt.f64 5) 1))) (.f64 (sqrt.f64 5) -3/2))) (if (<=.f64 x 961551961537543/1237940039285380274899124224) (.f64 1/3 (/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2))))) (+.f64 1 (+.f64 (.f64 (+.f64 (sqrt.f64 5) -1) 1/2) (.f64 2 (/.f64 (cos.f64 y) (+.f64 3 (sqrt.f64 5)))))))) (/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1))))) (+.f64 (+.f64 (/.f64 6 (/.f64 (+.f64 (sqrt.f64 5) 1) (cos.f64 x))) 15/2) (*.f64 (sqrt.f64 5) -3/2)))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (/.f64 6 (/.f64 (+.f64 (sqrt.f64 5) 1) (cos.f64 x)))) (.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1))))) (+.f64 (+.f64 (/.f64 6 (/.f64 (+.f64 (sqrt.f64 5) 1) (cos.f64 x))) 15/2) (.f64 -3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1))))) (+.f64 (+.f64 (/.f64 6 (/.f64 (+.f64 (sqrt.f64 5) 1) (cos.f64 x))) 15/2) (.f64 (sqrt.f64 5) -3/2)))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (/.f64 (.f64 6 (cos.f64 x)) (+.f64 (sqrt.f64 5) 1))) (*.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1))))) (+.f64 (+.f64 15/2 (/.f64 (.f64 (cos.f64 x) 6) (+.f64 (sqrt.f64 5) 1))) (*.f64 -3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1))))) (+.f64 (+.f64 15/2 (/.f64 (.f64 (cos.f64 x) 6) (+.f64 (sqrt.f64 5) 1))) (*.f64 (sqrt.f64 5) -3/2)))
(/.f64 2/3 (+.f64 1 (fma.f64 (cos.f64 x) (fma.f64 1/2 (sqrt.f64 5) -1/2) (/.f64 2 (+.f64 (sqrt.f64 5) 3)))))
(/.f64 2/3 (+.f64 1 (fma.f64 (cos.f64 x) (fma.f64 1/2 (sqrt.f64 5) -1/2) (/.f64 2 (+.f64 3 (sqrt.f64 5))))))
(/.f64 2/3 (+.f64 1 (+.f64 (.f64 1/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))) (*.f64 2 (/.f64 1 (+.f64 (sqrt.f64 5) 3))))))
(/.f64 2/3 (+.f64 1 (+.f64 (.f64 1/2 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1))) (*.f64 2 (/.f64 1 (+.f64 3 (sqrt.f64 5)))))))

Compiler

Compiled 1521 to 1204 computations (20.8% saved)

soundness318.0ms (1%)

Algorithm

2×	egg-herbie

Rules

698×	`fma-def_binary64`
622×	`associate-*r/_binary64`
572×	`associate-/r*_binary64`
445×	`distribute-rgt-neg-out_binary64`
444×	`distribute-lft-neg-out_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	33	80
1	80	74
2	211	74
3	815	73
4	3833	71
0	43	452
1	111	452
2	243	452
3	517	452
4	1780	436
5	5411	436
6	6231	436
7	7063	436
8	7971	436

Stop Event

1×	node limit
1×	node limit

Compiler

Compiled 2365 to 1808 computations (23.6% saved)

end982.0ms (3%)

Compiler: Compiled 1491 to 1118 computations (25% saved)