Details

analyze1.1s (8.3%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
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
74.9%	25%	0.1%	13
74.9%	25%	0.1%	14

Compiler

Compiled 53 to 41 computations (22.6% saved)

sample8.5s (62.4%)

Results

5.6s	3579×	body	1024	valid
1.4s	1384×	body	512	valid
951.0ms	2636×	body	128	valid
445.0ms	641×	body	256	valid
46.0ms	16×	body	2048	valid

Compiler

Compiled 106 to 82 computations (22.6% saved)

preprocess35.0ms (0.3%)

Algorithm

2×	egg-herbie

Rules

736×	`distribute-rgt-in_binary64`
734×	`distribute-lft-in_binary64`
515×	`fma-def_binary64`
127×	`distribute-lft-neg-out_binary64`
127×	`distribute-rgt-neg-out_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	160
1	120	148
2	353	148
3	1524	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 (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) (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) (fma.f64 (cos.f64 y) (/.f64 (-.f64 3 (sqrt.f64 5)) 2/3) (+.f64 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 (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 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 (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)) (.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16)) (-.f64 (cos.f64 y) (cos.f64 x)))) 2) (fma.f64 (cos.f64 x) (/.f64 (-.f64 3 (sqrt.f64 5)) 2/3) (+.f64 3 (/.f64 (*.f64 (cos.f64 y) (+.f64 (sqrt.f64 5) -1)) 2/3))))

Compiler

Compiled 52 to 40 computations (23.1% saved)

simplify25.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

444×	`distribute-rgt-neg-out_binary64`
418×	`distribute-rgt-in_binary64`
417×	`distribute-lft-in_binary64`
350×	`unsub-neg_binary64`
270×	`associate-l_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	33	80
1	80	74
2	211	74
3	809	73
4	3815	73

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

prune7.0ms (0.1%)

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

0.3b

Counts

3 → 2

Alt Table

Status	Error	Program
	0.4b	(/.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 (/.f64 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) 2/3) (fma.f64 (cos.f64 y) (-.f64 9/2 (/.f64 (sqrt.f64 5) 2/3)) 3)))
▶	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 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))

Status

Error

Program

0.4b

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

▶

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

Compiler

Compiled 298 to 221 computations (25.8% saved)

localize30.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(*.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))
✓	0.5b	(*.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)))
✓	1.0b	(-.f64 3 (sqrt.f64 5))
✓	1.7b	(-.f64 (cos.f64 x) (cos.f64 y))

series25.0ms (0.2%)

Counts

4 → 44

Calls

15 calls:

Time	Variable		Point	Expression
12.0ms	x	@	0	(-.f64 (cos.f64 x) (cos.f64 y))
2.0ms	y	@	0	(*.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)))
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)))

rewrite37.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

250×	`add-sqr-sqrt_binary64`
239×	`*-un-lft-identity_binary64`
239×	`pow1_binary64`
236×	`add-cbrt-cube_binary64`
236×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	44
1	501	44

Stop Event

1×	node limit

Counts

4 → 71

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

simplify49.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

557×	`sub-neg_binary64`
505×	`fma-def_binary64`
357×	`cancel-sign-sub-inv_binary64`
277×	`associate-r_binary64`
263×	`associate-l_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	111	873
1	325	818
2	1098	738
3	4624	738

Stop Event

1×	node limit

Counts

115 → 113

Calls

Call 1

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

prune216.0ms (1.6%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	107	6	113
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	108	7	115

Error

0.2b

Counts

115 → 7

Alt Table

Status	Error	Program
▶	0.4b	(/.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 (/.f64 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) 2/3) (fma.f64 (cos.f64 y) (-.f64 9/2 (/.f64 (sqrt.f64 5) 2/3)) 3)))
	0.8b	(/.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) (-.f64 (/.f64 (sqrt.f64 5) 2) 1/2))) 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 (cbrt.f64 (pow.f64 (.f64 (cos.f64 x) (-.f64 (/.f64 (sqrt.f64 5) 2) 1/2)) 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 (log.f64 (+.f64 1 (expm1.f64 (.f64 (cos.f64 x) (-.f64 (/.f64 (sqrt.f64 5) 2) 1/2)))))) (.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 (exp.f64 (log1p.f64 (.f64 (cos.f64 x) (-.f64 (/.f64 (sqrt.f64 5) 2) 1/2)))) 1)) (.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 (/.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 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))) (fma.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cbrt.f64 (cos.f64 x)) (neg.f64 (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 7147 to 4951 computations (30.7% saved)

localize29.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1))
✓	0.6b	(/.f64 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) 2/3)
✓	1.0b	(-.f64 9/2 (/.f64 (sqrt.f64 5) 2/3))
	1.7b	(-.f64 (cos.f64 x) (cos.f64 y))

series4.0ms (0%)

Counts

3 → 24

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	x	@	0	(/.f64 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) 2/3)
1.0ms	x	@	0	(*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1))
1.0ms	x	@	inf	(/.f64 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) 2/3)
1.0ms	x	@	-inf	(/.f64 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) 2/3)
0.0ms	x	@	inf	(*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1))

rewrite61.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

250×	`expm1-udef_binary64`
250×	`log1p-udef_binary64`
187×	`prod-diff_binary64`
148×	`add-sqr-sqrt_binary64`
140×	`add-cbrt-cube_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	34
1	299	31
2	3865	31

Stop Event

1×	node limit

Counts

3 → 85

Calls

Call 1

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

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

simplify39.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

605×	`sub-neg_binary64`
421×	`fma-def_binary64`
293×	`associate--r+_binary64`
253×	`associate--l+_binary64`
234×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	61	500
1	188	474
2	701	447
3	3614	416

Stop Event

1×	node limit

Counts

109 → 105

Calls

Call 1

Inputs
(*.f64 3/2 (-.f64 (sqrt.f64 5) 1))
(-.f64 (+.f64 (.f64 3/4 (pow.f64 x 2)) (.f64 3/2 (sqrt.f64 5))) (+.f64 3/2 (.f64 3/4 (.f64 (pow.f64 x 2) (sqrt.f64 5)))))
(-.f64 (+.f64 (.f64 3/4 (pow.f64 x 2)) (+.f64 (.f64 1/16 (.f64 (pow.f64 x 4) (sqrt.f64 5))) (.f64 3/2 (sqrt.f64 5)))) (+.f64 (.f64 1/16 (pow.f64 x 4)) (+.f64 3/2 (.f64 3/4 (*.f64 (pow.f64 x 2) (sqrt.f64 5))))))
(-.f64 (+.f64 (.f64 1/480 (pow.f64 x 6)) (+.f64 (.f64 3/4 (pow.f64 x 2)) (+.f64 (.f64 1/16 (.f64 (pow.f64 x 4) (sqrt.f64 5))) (.f64 3/2 (sqrt.f64 5))))) (+.f64 (.f64 1/16 (pow.f64 x 4)) (+.f64 (.f64 1/480 (.f64 (pow.f64 x 6) (sqrt.f64 5))) (+.f64 3/2 (.f64 3/4 (.f64 (pow.f64 x 2) (sqrt.f64 5)))))))
(.f64 3/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))
(.f64 3/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))
(.f64 3/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))
(.f64 3/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))
(.f64 3/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))
(.f64 3/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))
(.f64 3/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))
(.f64 3/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))
(-.f64 (sqrt.f64 5) 1)
(-.f64 (+.f64 (.f64 1/2 (pow.f64 x 2)) (sqrt.f64 5)) (+.f64 1 (.f64 1/2 (*.f64 (pow.f64 x 2) (sqrt.f64 5)))))
(-.f64 (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 1/24 (.f64 (pow.f64 x 4) (sqrt.f64 5))) (sqrt.f64 5))) (+.f64 (.f64 1/24 (pow.f64 x 4)) (+.f64 1 (.f64 1/2 (.f64 (pow.f64 x 2) (sqrt.f64 5))))))
(-.f64 (+.f64 (.f64 1/720 (pow.f64 x 6)) (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 1/24 (.f64 (pow.f64 x 4) (sqrt.f64 5))) (sqrt.f64 5)))) (+.f64 (.f64 1/24 (pow.f64 x 4)) (+.f64 (.f64 1/720 (.f64 (pow.f64 x 6) (sqrt.f64 5))) (+.f64 1 (.f64 1/2 (*.f64 (pow.f64 x 2) (sqrt.f64 5)))))))
(*.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))
(*.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))
(*.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))
(*.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))
(*.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))
(*.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))
(*.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))
(*.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))

Outputs
(*.f64 3/2 (-.f64 (sqrt.f64 5) 1))
(*.f64 3/2 (+.f64 (sqrt.f64 5) -1))
(+.f64 (*.f64 3/2 (sqrt.f64 5)) -3/2)
(fma.f64 3/2 (sqrt.f64 5) -3/2)
(-.f64 (+.f64 (.f64 3/4 (pow.f64 x 2)) (.f64 3/2 (sqrt.f64 5))) (+.f64 3/2 (.f64 3/4 (.f64 (pow.f64 x 2) (sqrt.f64 5)))))
(-.f64 (fma.f64 3/4 (.f64 x x) (.f64 3/2 (sqrt.f64 5))) (+.f64 3/2 (.f64 3/4 (.f64 (sqrt.f64 5) (*.f64 x x)))))
(-.f64 (fma.f64 3/2 (sqrt.f64 5) (.f64 3/4 (.f64 x x))) (fma.f64 3/4 (.f64 (sqrt.f64 5) (.f64 x x)) 3/2))
(fma.f64 3/4 (.f64 x x) (+.f64 (.f64 (sqrt.f64 5) (-.f64 3/2 (.f64 3/4 (.f64 x x)))) -3/2))
(-.f64 (fma.f64 3/2 (sqrt.f64 5) -3/2) (.f64 (.f64 x x) (-.f64 (*.f64 (sqrt.f64 5) 3/4) 3/4)))
(-.f64 (+.f64 (.f64 3/4 (pow.f64 x 2)) (+.f64 (.f64 1/16 (.f64 (pow.f64 x 4) (sqrt.f64 5))) (.f64 3/2 (sqrt.f64 5)))) (+.f64 (.f64 1/16 (pow.f64 x 4)) (+.f64 3/2 (.f64 3/4 (*.f64 (pow.f64 x 2) (sqrt.f64 5))))))
(-.f64 (fma.f64 3/4 (.f64 x x) (fma.f64 1/16 (.f64 (sqrt.f64 5) (pow.f64 x 4)) (.f64 3/2 (sqrt.f64 5)))) (fma.f64 1/16 (pow.f64 x 4) (+.f64 3/2 (.f64 3/4 (.f64 (sqrt.f64 5) (.f64 x x))))))
(-.f64 (fma.f64 3/4 (.f64 x x) (.f64 (sqrt.f64 5) (fma.f64 1/16 (pow.f64 x 4) 3/2))) (fma.f64 1/16 (pow.f64 x 4) (fma.f64 3/4 (.f64 (sqrt.f64 5) (.f64 x x)) 3/2)))
(-.f64 (fma.f64 (sqrt.f64 5) (fma.f64 1/16 (pow.f64 x 4) 3/2) (.f64 3/4 (.f64 x x))) (fma.f64 (sqrt.f64 5) (.f64 3/4 (.f64 x x)) (fma.f64 1/16 (pow.f64 x 4) 3/2)))
(-.f64 (.f64 (fma.f64 1/16 (pow.f64 x 4) 3/2) (+.f64 (sqrt.f64 5) -1)) (.f64 (.f64 x x) (-.f64 (.f64 (sqrt.f64 5) 3/4) 3/4)))
(-.f64 (+.f64 (.f64 1/480 (pow.f64 x 6)) (+.f64 (.f64 3/4 (pow.f64 x 2)) (+.f64 (.f64 1/16 (.f64 (pow.f64 x 4) (sqrt.f64 5))) (.f64 3/2 (sqrt.f64 5))))) (+.f64 (.f64 1/16 (pow.f64 x 4)) (+.f64 (.f64 1/480 (.f64 (pow.f64 x 6) (sqrt.f64 5))) (+.f64 3/2 (.f64 3/4 (.f64 (pow.f64 x 2) (sqrt.f64 5)))))))
(-.f64 (fma.f64 1/480 (pow.f64 x 6) (fma.f64 3/4 (.f64 x x) (fma.f64 1/16 (.f64 (sqrt.f64 5) (pow.f64 x 4)) (.f64 3/2 (sqrt.f64 5))))) (fma.f64 1/16 (pow.f64 x 4) (fma.f64 1/480 (.f64 (sqrt.f64 5) (pow.f64 x 6)) (+.f64 3/2 (.f64 3/4 (.f64 (sqrt.f64 5) (*.f64 x x)))))))
(-.f64 (fma.f64 1/480 (pow.f64 x 6) (fma.f64 3/4 (.f64 x x) (.f64 (sqrt.f64 5) (fma.f64 1/16 (pow.f64 x 4) 3/2)))) (fma.f64 1/16 (pow.f64 x 4) (fma.f64 1/480 (.f64 (sqrt.f64 5) (pow.f64 x 6)) (fma.f64 3/4 (.f64 (sqrt.f64 5) (*.f64 x x)) 3/2))))
(-.f64 (fma.f64 (sqrt.f64 5) (fma.f64 1/16 (pow.f64 x 4) 3/2) (fma.f64 3/4 (.f64 x x) (.f64 1/480 (pow.f64 x 6)))) (+.f64 (fma.f64 1/16 (pow.f64 x 4) 3/2) (.f64 (sqrt.f64 5) (fma.f64 3/4 (.f64 x x) (*.f64 1/480 (pow.f64 x 6))))))
(fma.f64 1/480 (pow.f64 x 6) (-.f64 (+.f64 (.f64 3/4 (.f64 x x)) (.f64 (fma.f64 1/16 (pow.f64 x 4) 3/2) (+.f64 (sqrt.f64 5) -1))) (.f64 (sqrt.f64 5) (fma.f64 3/4 (.f64 x x) (.f64 1/480 (pow.f64 x 6))))))
(.f64 3/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))
(.f64 3/2 (.f64 (+.f64 (sqrt.f64 5) -1) (cos.f64 x)))
(.f64 (+.f64 (sqrt.f64 5) -1) (.f64 3/2 (cos.f64 x)))
(*.f64 (cos.f64 x) (fma.f64 3/2 (sqrt.f64 5) -3/2))
(.f64 3/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))
(.f64 3/2 (.f64 (+.f64 (sqrt.f64 5) -1) (cos.f64 x)))
(.f64 (+.f64 (sqrt.f64 5) -1) (.f64 3/2 (cos.f64 x)))
(*.f64 (cos.f64 x) (fma.f64 3/2 (sqrt.f64 5) -3/2))
(.f64 3/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))
(.f64 3/2 (.f64 (+.f64 (sqrt.f64 5) -1) (cos.f64 x)))
(.f64 (+.f64 (sqrt.f64 5) -1) (.f64 3/2 (cos.f64 x)))
(*.f64 (cos.f64 x) (fma.f64 3/2 (sqrt.f64 5) -3/2))
(.f64 3/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))
(.f64 3/2 (.f64 (+.f64 (sqrt.f64 5) -1) (cos.f64 x)))
(.f64 (+.f64 (sqrt.f64 5) -1) (.f64 3/2 (cos.f64 x)))
(*.f64 (cos.f64 x) (fma.f64 3/2 (sqrt.f64 5) -3/2))
(.f64 3/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))
(.f64 3/2 (.f64 (+.f64 (sqrt.f64 5) -1) (cos.f64 x)))
(.f64 (+.f64 (sqrt.f64 5) -1) (.f64 3/2 (cos.f64 x)))
(*.f64 (cos.f64 x) (fma.f64 3/2 (sqrt.f64 5) -3/2))
(.f64 3/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))
(.f64 3/2 (.f64 (+.f64 (sqrt.f64 5) -1) (cos.f64 x)))
(.f64 (+.f64 (sqrt.f64 5) -1) (.f64 3/2 (cos.f64 x)))
(*.f64 (cos.f64 x) (fma.f64 3/2 (sqrt.f64 5) -3/2))
(.f64 3/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))
(.f64 3/2 (.f64 (+.f64 (sqrt.f64 5) -1) (cos.f64 x)))
(.f64 (+.f64 (sqrt.f64 5) -1) (.f64 3/2 (cos.f64 x)))
(*.f64 (cos.f64 x) (fma.f64 3/2 (sqrt.f64 5) -3/2))
(.f64 3/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))
(.f64 3/2 (.f64 (+.f64 (sqrt.f64 5) -1) (cos.f64 x)))
(.f64 (+.f64 (sqrt.f64 5) -1) (.f64 3/2 (cos.f64 x)))
(*.f64 (cos.f64 x) (fma.f64 3/2 (sqrt.f64 5) -3/2))
(-.f64 (sqrt.f64 5) 1)
(+.f64 (sqrt.f64 5) -1)
(-.f64 (+.f64 (.f64 1/2 (pow.f64 x 2)) (sqrt.f64 5)) (+.f64 1 (.f64 1/2 (*.f64 (pow.f64 x 2) (sqrt.f64 5)))))
(-.f64 (-.f64 (fma.f64 1/2 (.f64 x x) (sqrt.f64 5)) 1) (.f64 (.f64 (.f64 x x) 1/2) (sqrt.f64 5)))
(-.f64 (fma.f64 (.f64 x x) 1/2 (sqrt.f64 5)) (fma.f64 (.f64 (sqrt.f64 5) (*.f64 x x)) 1/2 1))
(-.f64 (fma.f64 x (.f64 x 1/2) (sqrt.f64 5)) (fma.f64 (.f64 (sqrt.f64 5) (*.f64 x x)) 1/2 1))
(-.f64 (+.f64 (sqrt.f64 5) -1) (.f64 (.f64 x x) (-.f64 (*.f64 (sqrt.f64 5) 1/2) 1/2)))
(-.f64 (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 1/24 (.f64 (pow.f64 x 4) (sqrt.f64 5))) (sqrt.f64 5))) (+.f64 (.f64 1/24 (pow.f64 x 4)) (+.f64 1 (.f64 1/2 (.f64 (pow.f64 x 2) (sqrt.f64 5))))))
(-.f64 (fma.f64 1/2 (.f64 x x) (fma.f64 1/24 (.f64 (sqrt.f64 5) (pow.f64 x 4)) (sqrt.f64 5))) (fma.f64 1/24 (pow.f64 x 4) (+.f64 1 (.f64 (.f64 (*.f64 x x) 1/2) (sqrt.f64 5)))))
(-.f64 (fma.f64 (.f64 x x) 1/2 (.f64 (fma.f64 (pow.f64 x 4) 1/24 1) (sqrt.f64 5))) (fma.f64 (pow.f64 x 4) 1/24 (fma.f64 (.f64 (sqrt.f64 5) (.f64 x x)) 1/2 1)))
(-.f64 (fma.f64 (fma.f64 (pow.f64 x 4) 1/24 1) (sqrt.f64 5) (.f64 x (.f64 x 1/2))) (fma.f64 (pow.f64 x 4) 1/24 (fma.f64 (.f64 (sqrt.f64 5) (.f64 x x)) 1/2 1)))
(-.f64 (.f64 (fma.f64 (pow.f64 x 4) 1/24 1) (+.f64 (sqrt.f64 5) -1)) (.f64 (.f64 x x) (-.f64 (.f64 (sqrt.f64 5) 1/2) 1/2)))
(-.f64 (+.f64 (.f64 1/720 (pow.f64 x 6)) (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 1/24 (.f64 (pow.f64 x 4) (sqrt.f64 5))) (sqrt.f64 5)))) (+.f64 (.f64 1/24 (pow.f64 x 4)) (+.f64 (.f64 1/720 (.f64 (pow.f64 x 6) (sqrt.f64 5))) (+.f64 1 (.f64 1/2 (*.f64 (pow.f64 x 2) (sqrt.f64 5)))))))
(-.f64 (fma.f64 1/720 (pow.f64 x 6) (fma.f64 1/2 (.f64 x x) (fma.f64 1/24 (.f64 (sqrt.f64 5) (pow.f64 x 4)) (sqrt.f64 5)))) (fma.f64 1/24 (pow.f64 x 4) (fma.f64 1/720 (.f64 (sqrt.f64 5) (pow.f64 x 6)) (+.f64 1 (.f64 (.f64 (.f64 x x) 1/2) (sqrt.f64 5))))))
(fma.f64 (pow.f64 x 6) 1/720 (-.f64 (fma.f64 (.f64 x x) 1/2 (.f64 (fma.f64 (pow.f64 x 4) 1/24 1) (sqrt.f64 5))) (fma.f64 (pow.f64 x 4) 1/24 (fma.f64 (.f64 (sqrt.f64 5) (pow.f64 x 6)) 1/720 (fma.f64 (.f64 (sqrt.f64 5) (*.f64 x x)) 1/2 1)))))
(-.f64 (fma.f64 (fma.f64 (pow.f64 x 4) 1/24 1) (sqrt.f64 5) (fma.f64 x (.f64 x 1/2) (.f64 (pow.f64 x 6) 1/720))) (+.f64 (fma.f64 (pow.f64 x 4) 1/24 1) (.f64 (sqrt.f64 5) (fma.f64 x (.f64 x 1/2) (*.f64 (pow.f64 x 6) 1/720)))))
(fma.f64 (pow.f64 x 6) 1/720 (-.f64 (+.f64 (.f64 x (.f64 x 1/2)) (.f64 (fma.f64 (pow.f64 x 4) 1/24 1) (+.f64 (sqrt.f64 5) -1))) (.f64 (sqrt.f64 5) (fma.f64 x (.f64 x 1/2) (.f64 (pow.f64 x 6) 1/720)))))
(*.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))
(*.f64 (+.f64 (sqrt.f64 5) -1) (cos.f64 x))
(*.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))
(*.f64 (+.f64 (sqrt.f64 5) -1) (cos.f64 x))
(*.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))
(*.f64 (+.f64 (sqrt.f64 5) -1) (cos.f64 x))
(*.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))
(*.f64 (+.f64 (sqrt.f64 5) -1) (cos.f64 x))
(*.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))
(*.f64 (+.f64 (sqrt.f64 5) -1) (cos.f64 x))
(*.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))
(*.f64 (+.f64 (sqrt.f64 5) -1) (cos.f64 x))
(*.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))
(*.f64 (+.f64 (sqrt.f64 5) -1) (cos.f64 x))
(*.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))
(*.f64 (+.f64 (sqrt.f64 5) -1) (cos.f64 x))

prune412.0ms (3%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	139	10	149
Fresh	5	1	6
Picked	1	0	1
Done	0	0	0
Total	145	11	156

Error

0.1b

Counts

156 → 11

Alt Table

Status	Error	Program
	11.0b	(/.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 (-.f64 (exp.f64 (log1p.f64 (.f64 (+.f64 (sqrt.f64 5) -1) (.f64 (cos.f64 x) 3/2)))) 1) (fma.f64 (cos.f64 y) (-.f64 9/2 (/.f64 (sqrt.f64 5) 2/3)) 3)))
	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 (cbrt.f64 (pow.f64 (.f64 (cos.f64 x) (-.f64 (/.f64 (sqrt.f64 5) 2) 1/2)) 3))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
	0.4b	(/.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)) (log.f64 (/.f64 (exp.f64 (cos.f64 x)) (exp.f64 (cos.f64 y)))))) 2) (+.f64 (/.f64 (*.f64 (cos.f64 x) (+.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 (sin.f64 x) 16)) (.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)) (-.f64 (cos.f64 x) (cos.f64 y)))) 2) (+.f64 (.f64 (cbrt.f64 (.f64 (+.f64 (sqrt.f64 5) -1) (.f64 (cos.f64 x) 3/2))) (pow.f64 (cbrt.f64 (.f64 (+.f64 (sqrt.f64 5) -1) (*.f64 (cos.f64 x) 3/2))) 2)) (fma.f64 (cos.f64 y) (-.f64 9/2 (/.f64 (sqrt.f64 5) 2/3)) 3)))
	0.4b	(/.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 (/.f64 (cbrt.f64 (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (+.f64 (sqrt.f64 5) -1) 3))) 2/3) (fma.f64 (cos.f64 y) (-.f64 9/2 (/.f64 (sqrt.f64 5) 2/3)) 3)))
	0.4b	(/.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 (/.f64 (log.f64 (pow.f64 (exp.f64 (+.f64 (sqrt.f64 5) -1)) (cos.f64 x))) 2/3) (fma.f64 (cos.f64 y) (-.f64 9/2 (/.f64 (sqrt.f64 5) 2/3)) 3)))
	0.8b	(/.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 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1))) 3) 2/3) (fma.f64 (cos.f64 y) (-.f64 9/2 (/.f64 (sqrt.f64 5) 2/3)) 3)))
	0.4b	(/.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)) (pow.f64 (cbrt.f64 (-.f64 (cos.f64 x) (cos.f64 y))) 3))) 2) (+.f64 (/.f64 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) 2/3) (fma.f64 (cos.f64 y) (-.f64 9/2 (/.f64 (sqrt.f64 5) 2/3)) 3)))
	0.4b	(/.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 (/.f64 (+.f64 (*.f64 (sqrt.f64 5) (cos.f64 x)) (neg.f64 (cos.f64 x))) 2/3) (fma.f64 (cos.f64 y) (-.f64 9/2 (/.f64 (sqrt.f64 5) 2/3)) 3)))
	0.4b	(/.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 (/.f64 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) 2/3) (fma.f64 (cos.f64 y) (/.f64 9 (+.f64 9/2 (sqrt.f64 45/4))) 3)))
▶	0.4b	(/.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 (.f64 (cos.f64 x) (/.f64 1 (.f64 1/6 (+.f64 (sqrt.f64 5) 1)))) (fma.f64 (cos.f64 y) (-.f64 9/2 (/.f64 (sqrt.f64 5) 2/3)) 3)))

Compiler

Compiled 8970 to 5995 computations (33.2% saved)

localize42.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)) (-.f64 (cos.f64 x) (cos.f64 y)))
✓	0.3b	(.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))))
	1.0b	(-.f64 9/2 (/.f64 (sqrt.f64 5) 2/3))
	1.7b	(-.f64 (cos.f64 x) (cos.f64 y))

series10.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(.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))))
1.0ms	y	@	0	(.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))))
1.0ms	x	@	0	(.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))))
1.0ms	y	@	inf	(.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))))
1.0ms	x	@	-inf	(.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))))

rewrite52.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

189×	`add-sqr-sqrt_binary64`
185×	`*-un-lft-identity_binary64`
185×	`pow1_binary64`
180×	`add-exp-log_binary64`
180×	`add-log-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	55
1	354	55

Stop Event

1×	node limit

Counts

2 → 60

Calls

Call 1

Inputs

(*.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))))

(*.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)) (-.f64 (cos.f64 x) (cos.f64 y)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 y) (*.f64 (+.f64 (sin.f64 x) (*.f64 (sin.f64 y) -1/16)) (-.f64 (cos.f64 x) (cos.f64 y)))) (*.f64 (*.f64 (sin.f64 x) -1/16) (*.f64 (+.f64 (sin.f64 x) (*.f64 (sin.f64 y) -1/16)) (-.f64 (cos.f64 x) (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 x) (*.f64 (+.f64 (sin.f64 y) (*.f64 (sin.f64 x) -1/16)) (+.f64 (sin.f64 x) (*.f64 (sin.f64 y) -1/16)))) (*.f64 (neg.f64 (cos.f64 y)) (*.f64 (+.f64 (sin.f64 y) (*.f64 (sin.f64 x) -1/16)) (+.f64 (sin.f64 x) (*.f64 (sin.f64 y) -1/16)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (+.f64 (sin.f64 x) (*.f64 (sin.f64 y) -1/16)) (-.f64 (cos.f64 x) (cos.f64 y))) (sin.f64 y)) (*.f64 (*.f64 (+.f64 (sin.f64 x) (*.f64 (sin.f64 y) -1/16)) (-.f64 (cos.f64 x) (cos.f64 y))) (*.f64 (sin.f64 x) -1/16)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (+.f64 (sin.f64 y) (*.f64 (sin.f64 x) -1/16)) (+.f64 (sin.f64 x) (*.f64 (sin.f64 y) -1/16))) (cos.f64 x)) (*.f64 (*.f64 (+.f64 (sin.f64 y) (*.f64 (sin.f64 x) -1/16)) (+.f64 (sin.f64 x) (*.f64 (sin.f64 y) -1/16))) (neg.f64 (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 (sin.f64 y) (*.f64 (sin.f64 x) -1/16)) (*.f64 (+.f64 (sin.f64 x) (*.f64 (sin.f64 y) -1/16)) (-.f64 (cos.f64 x) (cos.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 (+.f64 (sin.f64 x) (*.f64 (sin.f64 y) -1/16)) (-.f64 (cos.f64 x) (cos.f64 y)))) (+.f64 (pow.f64 (sin.f64 y) 2) (*.f64 (*.f64 (sin.f64 x) 1/16) (+.f64 (*.f64 (sin.f64 x) 1/16) (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (*.f64 (sin.f64 x) 1/16) 2)) (*.f64 (+.f64 (sin.f64 x) (*.f64 (sin.f64 y) -1/16)) (-.f64 (cos.f64 x) (cos.f64 y)))) (+.f64 (sin.f64 y) (*.f64 (sin.f64 x) 1/16)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (+.f64 (sin.f64 x) (*.f64 (sin.f64 y) -1/16)) (-.f64 (cos.f64 x) (cos.f64 y))) (-.f64 (pow.f64 (sin.f64 y) 3) (*.f64 (pow.f64 (sin.f64 x) 3) 1/4096))) (+.f64 (pow.f64 (sin.f64 y) 2) (*.f64 (*.f64 (sin.f64 x) 1/16) (+.f64 (*.f64 (sin.f64 x) 1/16) (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (+.f64 (sin.f64 x) (*.f64 (sin.f64 y) -1/16)) (-.f64 (cos.f64 x) (cos.f64 y))) (-.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (*.f64 (sin.f64 x) 1/16) 2))) (+.f64 (sin.f64 y) (*.f64 (sin.f64 x) 1/16)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (+.f64 (sin.f64 y) (*.f64 (sin.f64 x) -1/16)) (+.f64 (sin.f64 x) (*.f64 (sin.f64 y) -1/16))) (-.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 y) (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (+.f64 (sin.f64 y) (*.f64 (sin.f64 x) -1/16)) (+.f64 (sin.f64 x) (*.f64 (sin.f64 y) -1/16))) (-.f64 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simplify46.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

549×	`associate-l_binary64`
539×	`cancel-sign-sub-inv_binary64`
499×	`associate-r_binary64`
241×	`fma-def_binary64`
238×	`fma-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	148	1659
1	501	1629
2	1879	1592

Stop Event

1×	node limit

Counts

108 → 95

Calls

Call 1

Inputs
(.f64 -1/16 (.f64 (-.f64 (cos.f64 x) 1) (pow.f64 (sin.f64 x) 2)))
(-.f64 (+.f64 (.f64 257/256 (.f64 y (.f64 (sin.f64 x) (cos.f64 x)))) (.f64 1/16 (pow.f64 (sin.f64 x) 2))) (+.f64 (.f64 1/16 (.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 x))) (.f64 257/256 (.f64 y (sin.f64 x)))))
(-.f64 (+.f64 (.f64 257/256 (.f64 y (.f64 (sin.f64 x) (cos.f64 x)))) (+.f64 (.f64 1/16 (pow.f64 y 2)) (.f64 1/16 (pow.f64 (sin.f64 x) 2)))) (+.f64 (.f64 1/16 (.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 x))) (+.f64 (.f64 1/32 (.f64 (pow.f64 y 2) (pow.f64 (sin.f64 x) 2))) (+.f64 (.f64 257/256 (.f64 y (sin.f64 x))) (.f64 1/16 (*.f64 (pow.f64 y 2) (cos.f64 x)))))))
(-.f64 (+.f64 (.f64 257/256 (.f64 y (.f64 (sin.f64 x) (cos.f64 x)))) (+.f64 (.f64 257/384 (.f64 (pow.f64 y 3) (sin.f64 x))) (+.f64 (.f64 1/16 (pow.f64 (sin.f64 x) 2)) (.f64 1/16 (pow.f64 y 2))))) (+.f64 (.f64 1/16 (.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 x))) (+.f64 (.f64 1/32 (.f64 (pow.f64 y 2) (pow.f64 (sin.f64 x) 2))) (+.f64 (.f64 257/1536 (.f64 (pow.f64 y 3) (.f64 (sin.f64 x) (cos.f64 x)))) (+.f64 (.f64 1/16 (.f64 (pow.f64 y 2) (cos.f64 x))) (.f64 257/256 (.f64 y (sin.f64 x))))))))
(.f64 (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))) (.f64 (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x))) (-.f64 (cos.f64 x) (cos.f64 y))))
(.f64 (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))) (.f64 (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x))) (-.f64 (cos.f64 x) (cos.f64 y))))
(.f64 (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))) (.f64 (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x))) (-.f64 (cos.f64 x) (cos.f64 y))))
(.f64 (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))) (.f64 (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x))) (-.f64 (cos.f64 x) (cos.f64 y))))
(.f64 (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))) (.f64 (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x))) (-.f64 (cos.f64 x) (cos.f64 y))))
(.f64 (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))) (.f64 (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x))) (-.f64 (cos.f64 x) (cos.f64 y))))
(.f64 (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))) (.f64 (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x))) (-.f64 (cos.f64 x) (cos.f64 y))))
(.f64 (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))) (.f64 (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x))) (-.f64 (cos.f64 x) (cos.f64 y))))
(.f64 -1/16 (.f64 (pow.f64 (sin.f64 y) 2) (-.f64 1 (cos.f64 y))))
(-.f64 (+.f64 (.f64 257/256 (.f64 (sin.f64 y) x)) (.f64 1/16 (.f64 (pow.f64 (sin.f64 y) 2) (cos.f64 y)))) (+.f64 (.f64 257/256 (.f64 (sin.f64 y) (.f64 (cos.f64 y) x))) (.f64 1/16 (pow.f64 (sin.f64 y) 2))))
(-.f64 (+.f64 (.f64 257/256 (.f64 (sin.f64 y) x)) (+.f64 (.f64 1/32 (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2))) (+.f64 (.f64 1/16 (.f64 (cos.f64 y) (pow.f64 x 2))) (.f64 1/16 (.f64 (pow.f64 (sin.f64 y) 2) (cos.f64 y)))))) (+.f64 (.f64 257/256 (.f64 (sin.f64 y) (.f64 (cos.f64 y) x))) (+.f64 (.f64 1/16 (pow.f64 x 2)) (*.f64 1/16 (pow.f64 (sin.f64 y) 2)))))
(-.f64 (+.f64 (.f64 257/256 (.f64 (sin.f64 y) x)) (+.f64 (.f64 1/32 (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2))) (+.f64 (.f64 1/16 (.f64 (cos.f64 y) (pow.f64 x 2))) (+.f64 (.f64 1/16 (.f64 (pow.f64 (sin.f64 y) 2) (cos.f64 y))) (.f64 257/1536 (.f64 (sin.f64 y) (.f64 (cos.f64 y) (pow.f64 x 3)))))))) (+.f64 (.f64 257/384 (.f64 (sin.f64 y) (pow.f64 x 3))) (+.f64 (.f64 1/16 (pow.f64 x 2)) (+.f64 (.f64 257/256 (.f64 (sin.f64 y) (.f64 (cos.f64 y) x))) (.f64 1/16 (pow.f64 (sin.f64 y) 2))))))
(.f64 (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))) (.f64 (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x))) (-.f64 (cos.f64 x) (cos.f64 y))))
(.f64 (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))) (.f64 (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x))) (-.f64 (cos.f64 x) (cos.f64 y))))
(.f64 (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))) (.f64 (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x))) (-.f64 (cos.f64 x) (cos.f64 y))))
(.f64 (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))) (.f64 (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x))) (-.f64 (cos.f64 x) (cos.f64 y))))
(.f64 (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))) (.f64 (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x))) (-.f64 (cos.f64 x) (cos.f64 y))))
(.f64 (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))) (.f64 (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x))) (-.f64 (cos.f64 x) (cos.f64 y))))
(.f64 (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))) (.f64 (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x))) (-.f64 (cos.f64 x) (cos.f64 y))))
(.f64 (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))) (.f64 (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x))) (-.f64 (cos.f64 x) (cos.f64 y))))
(.f64 -1/16 (.f64 (sin.f64 y) (-.f64 1 (cos.f64 y))))
(-.f64 (+.f64 (.f64 1/16 (.f64 (sin.f64 y) (cos.f64 y))) x) (+.f64 (.f64 1/16 (sin.f64 y)) (.f64 (cos.f64 y) x)))
(-.f64 (+.f64 (.f64 1/32 (.f64 (sin.f64 y) (pow.f64 x 2))) (+.f64 (.f64 1/16 (.f64 (sin.f64 y) (cos.f64 y))) x)) (+.f64 (.f64 1/16 (sin.f64 y)) (.f64 (cos.f64 y) x)))
(-.f64 (+.f64 (.f64 1/32 (.f64 (sin.f64 y) (pow.f64 x 2))) (+.f64 (.f64 1/16 (.f64 (sin.f64 y) (cos.f64 y))) (+.f64 (.f64 1/6 (.f64 (cos.f64 y) (pow.f64 x 3))) x))) (+.f64 (.f64 1/16 (sin.f64 y)) (+.f64 (.f64 (cos.f64 y) x) (*.f64 2/3 (pow.f64 x 3)))))
(.f64 (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))) (-.f64 (cos.f64 x) (cos.f64 y)))
(.f64 (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))) (-.f64 (cos.f64 x) (cos.f64 y)))
(.f64 (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))) (-.f64 (cos.f64 x) (cos.f64 y)))
(.f64 (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))) (-.f64 (cos.f64 x) (cos.f64 y)))
(.f64 (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))) (-.f64 (cos.f64 x) (cos.f64 y)))
(.f64 (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))) (-.f64 (cos.f64 x) (cos.f64 y)))
(.f64 (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))) (-.f64 (cos.f64 x) (cos.f64 y)))
(.f64 (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))) (-.f64 (cos.f64 x) (cos.f64 y)))
(*.f64 (-.f64 (cos.f64 x) 1) (sin.f64 x))
(-.f64 (+.f64 (.f64 1/16 y) (.f64 (sin.f64 x) (cos.f64 x))) (+.f64 (.f64 1/16 (.f64 y (cos.f64 x))) (sin.f64 x)))
(-.f64 (+.f64 (.f64 1/16 y) (+.f64 (.f64 (sin.f64 x) (cos.f64 x)) (.f64 1/2 (.f64 (pow.f64 y 2) (sin.f64 x))))) (+.f64 (.f64 1/16 (.f64 y (cos.f64 x))) (sin.f64 x)))
(-.f64 (+.f64 (.f64 1/16 y) (+.f64 (.f64 1/96 (.f64 (pow.f64 y 3) (cos.f64 x))) (+.f64 (.f64 (sin.f64 x) (cos.f64 x)) (.f64 1/2 (.f64 (pow.f64 y 2) (sin.f64 x)))))) (+.f64 (.f64 1/16 (.f64 y (cos.f64 x))) (+.f64 (*.f64 1/24 (pow.f64 y 3)) (sin.f64 x))))
(.f64 (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))) (-.f64 (cos.f64 x) (cos.f64 y)))
(.f64 (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))) (-.f64 (cos.f64 x) (cos.f64 y)))
(.f64 (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))) (-.f64 (cos.f64 x) (cos.f64 y)))
(.f64 (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))) (-.f64 (cos.f64 x) (cos.f64 y)))
(.f64 (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))) (-.f64 (cos.f64 x) (cos.f64 y)))
(.f64 (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))) (-.f64 (cos.f64 x) (cos.f64 y)))
(.f64 (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))) (-.f64 (cos.f64 x) (cos.f64 y)))
(.f64 (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))) (-.f64 (cos.f64 x) (cos.f64 y)))

Outputs
(.f64 -1/16 (.f64 (-.f64 (cos.f64 x) 1) (pow.f64 (sin.f64 x) 2)))
(.f64 -1/16 (.f64 (+.f64 (cos.f64 x) -1) (pow.f64 (sin.f64 x) 2)))
(-.f64 (+.f64 (.f64 257/256 (.f64 y (.f64 (sin.f64 x) (cos.f64 x)))) (.f64 1/16 (pow.f64 (sin.f64 x) 2))) (+.f64 (.f64 1/16 (.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 x))) (.f64 257/256 (.f64 y (sin.f64 x)))))
(-.f64 (fma.f64 257/256 (.f64 y (.f64 (cos.f64 x) (sin.f64 x))) (.f64 (pow.f64 (sin.f64 x) 2) 1/16)) (fma.f64 1/16 (.f64 (cos.f64 x) (pow.f64 (sin.f64 x) 2)) (.f64 257/256 (.f64 (sin.f64 x) y))))
(-.f64 (fma.f64 (pow.f64 (sin.f64 x) 2) 1/16 (.f64 y (.f64 (.f64 (cos.f64 x) (sin.f64 x)) 257/256))) (fma.f64 1/16 (.f64 (cos.f64 x) (pow.f64 (sin.f64 x) 2)) (.f64 (sin.f64 x) (.f64 257/256 y))))
(fma.f64 257/256 (.f64 (sin.f64 x) (.f64 (cos.f64 x) y)) (+.f64 (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 1/16 (.f64 1/16 (cos.f64 x)))) (.f64 (sin.f64 x) (.f64 y -257/256))))
(-.f64 (+.f64 (.f64 257/256 (.f64 y (.f64 (sin.f64 x) (cos.f64 x)))) (+.f64 (.f64 1/16 (pow.f64 y 2)) (.f64 1/16 (pow.f64 (sin.f64 x) 2)))) (+.f64 (.f64 1/16 (.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 x))) (+.f64 (.f64 1/32 (.f64 (pow.f64 y 2) (pow.f64 (sin.f64 x) 2))) (+.f64 (.f64 257/256 (.f64 y (sin.f64 x))) (.f64 1/16 (*.f64 (pow.f64 y 2) (cos.f64 x)))))))
(-.f64 (fma.f64 257/256 (.f64 y (.f64 (cos.f64 x) (sin.f64 x))) (.f64 1/16 (+.f64 (pow.f64 (sin.f64 x) 2) (.f64 y y)))) (fma.f64 1/16 (.f64 (cos.f64 x) (pow.f64 (sin.f64 x) 2)) (fma.f64 1/32 (.f64 (pow.f64 (sin.f64 x) 2) (.f64 y y)) (fma.f64 257/256 (.f64 (sin.f64 x) y) (.f64 1/16 (.f64 (cos.f64 x) (*.f64 y y)))))))
(-.f64 (fma.f64 257/256 (.f64 (cos.f64 x) (.f64 (sin.f64 x) y)) (.f64 1/16 (fma.f64 y y (pow.f64 (sin.f64 x) 2)))) (fma.f64 1/16 (.f64 (cos.f64 x) (pow.f64 (sin.f64 x) 2)) (fma.f64 1/32 (.f64 (pow.f64 (sin.f64 x) 2) (.f64 y y)) (fma.f64 1/16 (.f64 (cos.f64 x) (.f64 y y)) (.f64 (sin.f64 x) (.f64 257/256 y))))))
(-.f64 (fma.f64 257/256 (.f64 (sin.f64 x) (.f64 (cos.f64 x) y)) (.f64 1/16 (fma.f64 y y (pow.f64 (sin.f64 x) 2)))) (+.f64 (.f64 (sin.f64 x) (+.f64 (.f64 257/256 y) (.f64 (.f64 y y) (.f64 1/32 (sin.f64 x))))) (.f64 (.f64 1/16 (cos.f64 x)) (fma.f64 y y (pow.f64 (sin.f64 x) 2)))))
(-.f64 (+.f64 (.f64 257/256 (.f64 y (.f64 (sin.f64 x) (cos.f64 x)))) (+.f64 (.f64 257/384 (.f64 (pow.f64 y 3) (sin.f64 x))) (+.f64 (.f64 1/16 (pow.f64 (sin.f64 x) 2)) (.f64 1/16 (pow.f64 y 2))))) (+.f64 (.f64 1/16 (.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 x))) (+.f64 (.f64 1/32 (.f64 (pow.f64 y 2) (pow.f64 (sin.f64 x) 2))) (+.f64 (.f64 257/1536 (.f64 (pow.f64 y 3) (.f64 (sin.f64 x) (cos.f64 x)))) (+.f64 (.f64 1/16 (.f64 (pow.f64 y 2) (cos.f64 x))) (.f64 257/256 (.f64 y (sin.f64 x))))))))
(-.f64 (fma.f64 257/256 (.f64 y (.f64 (cos.f64 x) (sin.f64 x))) (fma.f64 257/384 (.f64 (sin.f64 x) (pow.f64 y 3)) (.f64 1/16 (+.f64 (pow.f64 (sin.f64 x) 2) (.f64 y y))))) (fma.f64 1/16 (.f64 (cos.f64 x) (pow.f64 (sin.f64 x) 2)) (fma.f64 1/32 (.f64 (pow.f64 (sin.f64 x) 2) (.f64 y y)) (fma.f64 257/1536 (.f64 (.f64 (sin.f64 x) (pow.f64 y 3)) (cos.f64 x)) (fma.f64 257/256 (.f64 (sin.f64 x) y) (.f64 1/16 (.f64 (cos.f64 x) (.f64 y y))))))))
(-.f64 (fma.f64 257/256 (.f64 (cos.f64 x) (.f64 (sin.f64 x) y)) (fma.f64 1/16 (fma.f64 y y (pow.f64 (sin.f64 x) 2)) (.f64 (pow.f64 y 3) (.f64 (sin.f64 x) 257/384)))) (fma.f64 1/16 (.f64 (cos.f64 x) (pow.f64 (sin.f64 x) 2)) (fma.f64 1/32 (.f64 (pow.f64 (sin.f64 x) 2) (.f64 y y)) (fma.f64 (.f64 (pow.f64 y 3) 257/1536) (.f64 (cos.f64 x) (sin.f64 x)) (fma.f64 1/16 (.f64 (cos.f64 x) (.f64 y y)) (.f64 (sin.f64 x) (*.f64 257/256 y)))))))
(+.f64 (.f64 (sin.f64 x) (+.f64 (.f64 257/256 (.f64 (cos.f64 x) y)) (.f64 257/384 (pow.f64 y 3)))) (-.f64 (.f64 1/16 (fma.f64 y y (pow.f64 (sin.f64 x) 2))) (+.f64 (+.f64 (.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (.f64 (.f64 y y) 1/32) (.f64 (cos.f64 x) 1/16))) (.f64 (cos.f64 x) (+.f64 (.f64 1/16 (.f64 y y)) (.f64 (pow.f64 y 3) (.f64 257/1536 (sin.f64 x)))))) (.f64 (sin.f64 x) (.f64 257/256 y)))))
(.f64 (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))) (.f64 (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x))) (-.f64 (cos.f64 x) (cos.f64 y))))
(.f64 (+.f64 (sin.f64 x) (.f64 -1/16 (sin.f64 y))) (.f64 (+.f64 (sin.f64 y) (.f64 -1/16 (sin.f64 x))) (-.f64 (cos.f64 x) (cos.f64 y))))
(.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))))
(.f64 (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))) (.f64 (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x))) (-.f64 (cos.f64 x) (cos.f64 y))))
(.f64 (+.f64 (sin.f64 x) (.f64 -1/16 (sin.f64 y))) (.f64 (+.f64 (sin.f64 y) (.f64 -1/16 (sin.f64 x))) (-.f64 (cos.f64 x) (cos.f64 y))))
(.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))))
(.f64 (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))) (.f64 (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x))) (-.f64 (cos.f64 x) (cos.f64 y))))
(.f64 (+.f64 (sin.f64 x) (.f64 -1/16 (sin.f64 y))) (.f64 (+.f64 (sin.f64 y) (.f64 -1/16 (sin.f64 x))) (-.f64 (cos.f64 x) (cos.f64 y))))
(.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))))
(.f64 (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))) (.f64 (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x))) (-.f64 (cos.f64 x) (cos.f64 y))))
(.f64 (+.f64 (sin.f64 x) (.f64 -1/16 (sin.f64 y))) (.f64 (+.f64 (sin.f64 y) (.f64 -1/16 (sin.f64 x))) (-.f64 (cos.f64 x) (cos.f64 y))))
(.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))))
(.f64 (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))) (.f64 (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x))) (-.f64 (cos.f64 x) (cos.f64 y))))
(.f64 (+.f64 (sin.f64 x) (.f64 -1/16 (sin.f64 y))) (.f64 (+.f64 (sin.f64 y) (.f64 -1/16 (sin.f64 x))) (-.f64 (cos.f64 x) (cos.f64 y))))
(.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))))
(.f64 (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))) (.f64 (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x))) (-.f64 (cos.f64 x) (cos.f64 y))))
(.f64 (+.f64 (sin.f64 x) (.f64 -1/16 (sin.f64 y))) (.f64 (+.f64 (sin.f64 y) (.f64 -1/16 (sin.f64 x))) (-.f64 (cos.f64 x) (cos.f64 y))))
(.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))))
(.f64 (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))) (.f64 (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x))) (-.f64 (cos.f64 x) (cos.f64 y))))
(.f64 (+.f64 (sin.f64 x) (.f64 -1/16 (sin.f64 y))) (.f64 (+.f64 (sin.f64 y) (.f64 -1/16 (sin.f64 x))) (-.f64 (cos.f64 x) (cos.f64 y))))
(.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))))
(.f64 (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))) (.f64 (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x))) (-.f64 (cos.f64 x) (cos.f64 y))))
(.f64 (+.f64 (sin.f64 x) (.f64 -1/16 (sin.f64 y))) (.f64 (+.f64 (sin.f64 y) (.f64 -1/16 (sin.f64 x))) (-.f64 (cos.f64 x) (cos.f64 y))))
(.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))))
(.f64 -1/16 (.f64 (pow.f64 (sin.f64 y) 2) (-.f64 1 (cos.f64 y))))
(.f64 (pow.f64 (sin.f64 y) 2) (.f64 (-.f64 1 (cos.f64 y)) -1/16))
(-.f64 (+.f64 (.f64 257/256 (.f64 (sin.f64 y) x)) (.f64 1/16 (.f64 (pow.f64 (sin.f64 y) 2) (cos.f64 y)))) (+.f64 (.f64 257/256 (.f64 (sin.f64 y) (.f64 (cos.f64 y) x))) (.f64 1/16 (pow.f64 (sin.f64 y) 2))))
(-.f64 (fma.f64 257/256 (.f64 x (sin.f64 y)) (.f64 1/16 (.f64 (cos.f64 y) (pow.f64 (sin.f64 y) 2)))) (fma.f64 257/256 (.f64 (sin.f64 y) (.f64 x (cos.f64 y))) (.f64 1/16 (pow.f64 (sin.f64 y) 2))))
(-.f64 (fma.f64 257/256 (.f64 x (sin.f64 y)) (.f64 (pow.f64 (sin.f64 y) 2) (.f64 1/16 (cos.f64 y)))) (fma.f64 1/16 (pow.f64 (sin.f64 y) 2) (.f64 (.f64 (sin.f64 y) (.f64 x 257/256)) (cos.f64 y))))
(fma.f64 257/256 (.f64 x (sin.f64 y)) (+.f64 (.f64 (pow.f64 (sin.f64 y) 2) (-.f64 (.f64 1/16 (cos.f64 y)) 1/16)) (.f64 (.f64 x (cos.f64 y)) (.f64 (sin.f64 y) -257/256))))
(-.f64 (+.f64 (.f64 257/256 (.f64 (sin.f64 y) x)) (+.f64 (.f64 1/32 (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2))) (+.f64 (.f64 1/16 (.f64 (cos.f64 y) (pow.f64 x 2))) (.f64 1/16 (.f64 (pow.f64 (sin.f64 y) 2) (cos.f64 y)))))) (+.f64 (.f64 257/256 (.f64 (sin.f64 y) (.f64 (cos.f64 y) x))) (+.f64 (.f64 1/16 (pow.f64 x 2)) (*.f64 1/16 (pow.f64 (sin.f64 y) 2)))))
(-.f64 (fma.f64 257/256 (.f64 x (sin.f64 y)) (fma.f64 1/32 (.f64 (pow.f64 (sin.f64 y) 2) (.f64 x x)) (.f64 1/16 (+.f64 (.f64 (cos.f64 y) (.f64 x x)) (.f64 (cos.f64 y) (pow.f64 (sin.f64 y) 2)))))) (fma.f64 257/256 (.f64 (sin.f64 y) (.f64 x (cos.f64 y))) (.f64 1/16 (+.f64 (*.f64 x x) (pow.f64 (sin.f64 y) 2)))))
(-.f64 (fma.f64 257/256 (.f64 x (sin.f64 y)) (fma.f64 1/16 (.f64 (cos.f64 y) (fma.f64 x x (pow.f64 (sin.f64 y) 2))) (.f64 1/32 (.f64 (pow.f64 (sin.f64 y) 2) (.f64 x x))))) (fma.f64 257/256 (.f64 x (.f64 (sin.f64 y) (cos.f64 y))) (.f64 1/16 (fma.f64 x x (pow.f64 (sin.f64 y) 2)))))
(+.f64 (+.f64 (fma.f64 1/16 (.f64 (cos.f64 y) (fma.f64 x x (pow.f64 (sin.f64 y) 2))) (.f64 1/32 (.f64 (pow.f64 (sin.f64 y) 2) (.f64 x x)))) (.f64 (.f64 257/256 (sin.f64 y)) (-.f64 x (.f64 x (cos.f64 y))))) (.f64 -1/16 (fma.f64 x x (pow.f64 (sin.f64 y) 2))))
(-.f64 (+.f64 (.f64 257/256 (.f64 (sin.f64 y) x)) (+.f64 (.f64 1/32 (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2))) (+.f64 (.f64 1/16 (.f64 (cos.f64 y) (pow.f64 x 2))) (+.f64 (.f64 1/16 (.f64 (pow.f64 (sin.f64 y) 2) (cos.f64 y))) (.f64 257/1536 (.f64 (sin.f64 y) (.f64 (cos.f64 y) (pow.f64 x 3)))))))) (+.f64 (.f64 257/384 (.f64 (sin.f64 y) (pow.f64 x 3))) (+.f64 (.f64 1/16 (pow.f64 x 2)) (+.f64 (.f64 257/256 (.f64 (sin.f64 y) (.f64 (cos.f64 y) x))) (.f64 1/16 (pow.f64 (sin.f64 y) 2))))))
(-.f64 (fma.f64 257/256 (.f64 x (sin.f64 y)) (fma.f64 1/32 (.f64 (pow.f64 (sin.f64 y) 2) (.f64 x x)) (fma.f64 1/16 (.f64 (cos.f64 y) (.f64 x x)) (fma.f64 1/16 (.f64 (cos.f64 y) (pow.f64 (sin.f64 y) 2)) (.f64 257/1536 (.f64 (sin.f64 y) (.f64 (cos.f64 y) (pow.f64 x 3)))))))) (fma.f64 257/384 (.f64 (sin.f64 y) (pow.f64 x 3)) (fma.f64 1/16 (.f64 x x) (fma.f64 257/256 (.f64 (sin.f64 y) (.f64 x (cos.f64 y))) (.f64 1/16 (pow.f64 (sin.f64 y) 2))))))
(fma.f64 257/256 (.f64 x (sin.f64 y)) (-.f64 (fma.f64 1/32 (.f64 (pow.f64 (sin.f64 y) 2) (.f64 x x)) (fma.f64 1/16 (.f64 (cos.f64 y) (fma.f64 x x (pow.f64 (sin.f64 y) 2))) (.f64 257/1536 (.f64 (cos.f64 y) (.f64 (sin.f64 y) (pow.f64 x 3)))))) (fma.f64 257/384 (.f64 (sin.f64 y) (pow.f64 x 3)) (fma.f64 257/256 (.f64 x (.f64 (sin.f64 y) (cos.f64 y))) (*.f64 1/16 (fma.f64 x x (pow.f64 (sin.f64 y) 2)))))))
(-.f64 (+.f64 (fma.f64 1/32 (.f64 (pow.f64 (sin.f64 y) 2) (.f64 x x)) (fma.f64 1/16 (.f64 (cos.f64 y) (fma.f64 x x (pow.f64 (sin.f64 y) 2))) (.f64 257/1536 (.f64 (sin.f64 y) (.f64 (cos.f64 y) (pow.f64 x 3)))))) (.f64 (sin.f64 y) (-.f64 (.f64 x 257/256) (.f64 (pow.f64 x 3) 257/384)))) (fma.f64 257/256 (.f64 (sin.f64 y) (.f64 x (cos.f64 y))) (.f64 1/16 (fma.f64 x x (pow.f64 (sin.f64 y) 2)))))
(.f64 (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))) (.f64 (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x))) (-.f64 (cos.f64 x) (cos.f64 y))))
(.f64 (+.f64 (sin.f64 x) (.f64 -1/16 (sin.f64 y))) (.f64 (+.f64 (sin.f64 y) (.f64 -1/16 (sin.f64 x))) (-.f64 (cos.f64 x) (cos.f64 y))))
(.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))))
(.f64 (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))) (.f64 (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x))) (-.f64 (cos.f64 x) (cos.f64 y))))
(.f64 (+.f64 (sin.f64 x) (.f64 -1/16 (sin.f64 y))) (.f64 (+.f64 (sin.f64 y) (.f64 -1/16 (sin.f64 x))) (-.f64 (cos.f64 x) (cos.f64 y))))
(.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))))
(.f64 (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))) (.f64 (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x))) (-.f64 (cos.f64 x) (cos.f64 y))))
(.f64 (+.f64 (sin.f64 x) (.f64 -1/16 (sin.f64 y))) (.f64 (+.f64 (sin.f64 y) (.f64 -1/16 (sin.f64 x))) (-.f64 (cos.f64 x) (cos.f64 y))))
(.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))))
(.f64 (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))) (.f64 (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x))) (-.f64 (cos.f64 x) (cos.f64 y))))
(.f64 (+.f64 (sin.f64 x) (.f64 -1/16 (sin.f64 y))) (.f64 (+.f64 (sin.f64 y) (.f64 -1/16 (sin.f64 x))) (-.f64 (cos.f64 x) (cos.f64 y))))
(.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))))
(.f64 (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))) (.f64 (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x))) (-.f64 (cos.f64 x) (cos.f64 y))))
(.f64 (+.f64 (sin.f64 x) (.f64 -1/16 (sin.f64 y))) (.f64 (+.f64 (sin.f64 y) (.f64 -1/16 (sin.f64 x))) (-.f64 (cos.f64 x) (cos.f64 y))))
(.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))))
(.f64 (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))) (.f64 (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x))) (-.f64 (cos.f64 x) (cos.f64 y))))
(.f64 (+.f64 (sin.f64 x) (.f64 -1/16 (sin.f64 y))) (.f64 (+.f64 (sin.f64 y) (.f64 -1/16 (sin.f64 x))) (-.f64 (cos.f64 x) (cos.f64 y))))
(.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))))
(.f64 (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))) (.f64 (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x))) (-.f64 (cos.f64 x) (cos.f64 y))))
(.f64 (+.f64 (sin.f64 x) (.f64 -1/16 (sin.f64 y))) (.f64 (+.f64 (sin.f64 y) (.f64 -1/16 (sin.f64 x))) (-.f64 (cos.f64 x) (cos.f64 y))))
(.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))))
(.f64 (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))) (.f64 (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x))) (-.f64 (cos.f64 x) (cos.f64 y))))
(.f64 (+.f64 (sin.f64 x) (.f64 -1/16 (sin.f64 y))) (.f64 (+.f64 (sin.f64 y) (.f64 -1/16 (sin.f64 x))) (-.f64 (cos.f64 x) (cos.f64 y))))
(.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))))
(.f64 -1/16 (.f64 (sin.f64 y) (-.f64 1 (cos.f64 y))))
(-.f64 (+.f64 (.f64 1/16 (.f64 (sin.f64 y) (cos.f64 y))) x) (+.f64 (.f64 1/16 (sin.f64 y)) (.f64 (cos.f64 y) x)))
(-.f64 (fma.f64 1/16 (.f64 (sin.f64 y) (cos.f64 y)) x) (fma.f64 1/16 (sin.f64 y) (.f64 x (cos.f64 y))))
(-.f64 (fma.f64 1/16 (.f64 (sin.f64 y) (cos.f64 y)) x) (fma.f64 x (cos.f64 y) (.f64 1/16 (sin.f64 y))))
(-.f64 (+.f64 x (.f64 (sin.f64 y) (-.f64 (.f64 1/16 (cos.f64 y)) 1/16))) (*.f64 x (cos.f64 y)))
(-.f64 (+.f64 (.f64 1/32 (.f64 (sin.f64 y) (pow.f64 x 2))) (+.f64 (.f64 1/16 (.f64 (sin.f64 y) (cos.f64 y))) x)) (+.f64 (.f64 1/16 (sin.f64 y)) (.f64 (cos.f64 y) x)))
(-.f64 (fma.f64 1/32 (.f64 (sin.f64 y) (.f64 x x)) (fma.f64 1/16 (.f64 (sin.f64 y) (cos.f64 y)) x)) (fma.f64 1/16 (sin.f64 y) (.f64 x (cos.f64 y))))
(-.f64 (fma.f64 1/32 (.f64 (sin.f64 y) (.f64 x x)) (fma.f64 1/16 (.f64 (sin.f64 y) (cos.f64 y)) x)) (fma.f64 x (cos.f64 y) (.f64 1/16 (sin.f64 y))))
(+.f64 (.f64 (sin.f64 y) (+.f64 (.f64 1/16 (cos.f64 y)) (.f64 1/32 (.f64 x x)))) (-.f64 x (fma.f64 x (cos.f64 y) (*.f64 1/16 (sin.f64 y)))))
(-.f64 (+.f64 (.f64 1/32 (.f64 (sin.f64 y) (pow.f64 x 2))) (+.f64 (.f64 1/16 (.f64 (sin.f64 y) (cos.f64 y))) (+.f64 (.f64 1/6 (.f64 (cos.f64 y) (pow.f64 x 3))) x))) (+.f64 (.f64 1/16 (sin.f64 y)) (+.f64 (.f64 (cos.f64 y) x) (*.f64 2/3 (pow.f64 x 3)))))
(-.f64 (fma.f64 1/32 (.f64 (sin.f64 y) (.f64 x x)) (fma.f64 1/16 (.f64 (sin.f64 y) (cos.f64 y)) (fma.f64 1/6 (.f64 (cos.f64 y) (pow.f64 x 3)) x))) (fma.f64 1/16 (sin.f64 y) (fma.f64 (cos.f64 y) x (*.f64 (pow.f64 x 3) 2/3))))
(-.f64 (fma.f64 1/32 (.f64 (sin.f64 y) (.f64 x x)) (fma.f64 1/16 (.f64 (sin.f64 y) (cos.f64 y)) (fma.f64 (.f64 (cos.f64 y) (pow.f64 x 3)) 1/6 x))) (fma.f64 1/16 (sin.f64 y) (fma.f64 x (cos.f64 y) (*.f64 (pow.f64 x 3) 2/3))))
(-.f64 (+.f64 (+.f64 x (.f64 (cos.f64 y) (+.f64 (.f64 1/6 (pow.f64 x 3)) (.f64 1/16 (sin.f64 y))))) (.f64 (sin.f64 y) (-.f64 (.f64 1/32 (.f64 x x)) 1/16))) (fma.f64 x (cos.f64 y) (*.f64 (pow.f64 x 3) 2/3)))
(.f64 (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))) (-.f64 (cos.f64 x) (cos.f64 y)))
(.f64 (+.f64 (sin.f64 x) (.f64 -1/16 (sin.f64 y))) (-.f64 (cos.f64 x) (cos.f64 y)))
(.f64 (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))) (-.f64 (cos.f64 x) (cos.f64 y)))
(.f64 (+.f64 (sin.f64 x) (.f64 -1/16 (sin.f64 y))) (-.f64 (cos.f64 x) (cos.f64 y)))
(.f64 (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))) (-.f64 (cos.f64 x) (cos.f64 y)))
(.f64 (+.f64 (sin.f64 x) (.f64 -1/16 (sin.f64 y))) (-.f64 (cos.f64 x) (cos.f64 y)))
(.f64 (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))) (-.f64 (cos.f64 x) (cos.f64 y)))
(.f64 (+.f64 (sin.f64 x) (.f64 -1/16 (sin.f64 y))) (-.f64 (cos.f64 x) (cos.f64 y)))
(.f64 (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))) (-.f64 (cos.f64 x) (cos.f64 y)))
(.f64 (+.f64 (sin.f64 x) (.f64 -1/16 (sin.f64 y))) (-.f64 (cos.f64 x) (cos.f64 y)))
(.f64 (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))) (-.f64 (cos.f64 x) (cos.f64 y)))
(.f64 (+.f64 (sin.f64 x) (.f64 -1/16 (sin.f64 y))) (-.f64 (cos.f64 x) (cos.f64 y)))
(.f64 (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))) (-.f64 (cos.f64 x) (cos.f64 y)))
(.f64 (+.f64 (sin.f64 x) (.f64 -1/16 (sin.f64 y))) (-.f64 (cos.f64 x) (cos.f64 y)))
(.f64 (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))) (-.f64 (cos.f64 x) (cos.f64 y)))
(.f64 (+.f64 (sin.f64 x) (.f64 -1/16 (sin.f64 y))) (-.f64 (cos.f64 x) (cos.f64 y)))
(*.f64 (-.f64 (cos.f64 x) 1) (sin.f64 x))
(*.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))
(-.f64 (+.f64 (.f64 1/16 y) (.f64 (sin.f64 x) (cos.f64 x))) (+.f64 (.f64 1/16 (.f64 y (cos.f64 x))) (sin.f64 x)))
(-.f64 (fma.f64 1/16 y (.f64 (cos.f64 x) (sin.f64 x))) (fma.f64 1/16 (.f64 (cos.f64 x) y) (sin.f64 x)))
(-.f64 (fma.f64 (cos.f64 x) (sin.f64 x) (.f64 y 1/16)) (fma.f64 1/16 (.f64 (cos.f64 x) y) (sin.f64 x)))
(fma.f64 y 1/16 (-.f64 (.f64 (cos.f64 x) (-.f64 (sin.f64 x) (.f64 y 1/16))) (sin.f64 x)))
(-.f64 (+.f64 (.f64 1/16 y) (+.f64 (.f64 (sin.f64 x) (cos.f64 x)) (.f64 1/2 (.f64 (pow.f64 y 2) (sin.f64 x))))) (+.f64 (.f64 1/16 (.f64 y (cos.f64 x))) (sin.f64 x)))
(-.f64 (fma.f64 1/16 y (fma.f64 (sin.f64 x) (cos.f64 x) (.f64 1/2 (.f64 (sin.f64 x) (.f64 y y))))) (fma.f64 1/16 (.f64 (cos.f64 x) y) (sin.f64 x)))
(-.f64 (fma.f64 y 1/16 (.f64 (sin.f64 x) (+.f64 (cos.f64 x) (.f64 (.f64 y y) 1/2)))) (fma.f64 1/16 (.f64 (cos.f64 x) y) (sin.f64 x)))
(-.f64 (+.f64 (.f64 1/16 y) (+.f64 (.f64 1/96 (.f64 (pow.f64 y 3) (cos.f64 x))) (+.f64 (.f64 (sin.f64 x) (cos.f64 x)) (.f64 1/2 (.f64 (pow.f64 y 2) (sin.f64 x)))))) (+.f64 (.f64 1/16 (.f64 y (cos.f64 x))) (+.f64 (*.f64 1/24 (pow.f64 y 3)) (sin.f64 x))))
(-.f64 (fma.f64 1/16 y (fma.f64 1/96 (.f64 (cos.f64 x) (pow.f64 y 3)) (fma.f64 (sin.f64 x) (cos.f64 x) (.f64 1/2 (.f64 (sin.f64 x) (.f64 y y)))))) (fma.f64 1/16 (*.f64 (cos.f64 x) y) (fma.f64 1/24 (pow.f64 y 3) (sin.f64 x))))
(-.f64 (fma.f64 y 1/16 (fma.f64 1/96 (.f64 (cos.f64 x) (pow.f64 y 3)) (.f64 (sin.f64 x) (+.f64 (cos.f64 x) (.f64 (.f64 y y) 1/2))))) (fma.f64 1/16 (*.f64 (cos.f64 x) y) (fma.f64 (pow.f64 y 3) 1/24 (sin.f64 x))))
(.f64 (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))) (-.f64 (cos.f64 x) (cos.f64 y)))
(.f64 (+.f64 (sin.f64 x) (.f64 -1/16 (sin.f64 y))) (-.f64 (cos.f64 x) (cos.f64 y)))
(.f64 (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))) (-.f64 (cos.f64 x) (cos.f64 y)))
(.f64 (+.f64 (sin.f64 x) (.f64 -1/16 (sin.f64 y))) (-.f64 (cos.f64 x) (cos.f64 y)))
(.f64 (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))) (-.f64 (cos.f64 x) (cos.f64 y)))
(.f64 (+.f64 (sin.f64 x) (.f64 -1/16 (sin.f64 y))) (-.f64 (cos.f64 x) (cos.f64 y)))
(.f64 (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))) (-.f64 (cos.f64 x) (cos.f64 y)))
(.f64 (+.f64 (sin.f64 x) (.f64 -1/16 (sin.f64 y))) (-.f64 (cos.f64 x) (cos.f64 y)))
(.f64 (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))) (-.f64 (cos.f64 x) (cos.f64 y)))
(.f64 (+.f64 (sin.f64 x) (.f64 -1/16 (sin.f64 y))) (-.f64 (cos.f64 x) (cos.f64 y)))
(.f64 (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))) (-.f64 (cos.f64 x) (cos.f64 y)))
(.f64 (+.f64 (sin.f64 x) (.f64 -1/16 (sin.f64 y))) (-.f64 (cos.f64 x) (cos.f64 y)))
(.f64 (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))) (-.f64 (cos.f64 x) (cos.f64 y)))
(.f64 (+.f64 (sin.f64 x) (.f64 -1/16 (sin.f64 y))) (-.f64 (cos.f64 x) (cos.f64 y)))
(.f64 (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))) (-.f64 (cos.f64 x) (cos.f64 y)))
(.f64 (+.f64 (sin.f64 x) (.f64 -1/16 (sin.f64 y))) (-.f64 (cos.f64 x) (cos.f64 y)))

prune711.0ms (5.2%)

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	164	5	169
Fresh	0	10	10
Picked	1	0	1
Done	0	0	0
Total	165	15	180

Error

0.1b

Counts

180 → 15

Alt Table

Status	Error	Program
	11.0b	(/.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 (-.f64 (exp.f64 (log1p.f64 (.f64 (+.f64 (sqrt.f64 5) -1) (.f64 (cos.f64 x) 3/2)))) 1) (fma.f64 (cos.f64 y) (-.f64 9/2 (/.f64 (sqrt.f64 5) 2/3)) 3)))
	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 (cbrt.f64 (pow.f64 (.f64 (cos.f64 x) (-.f64 (/.f64 (sqrt.f64 5) 2) 1/2)) 3))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
	0.4b	(/.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)) (log.f64 (/.f64 (exp.f64 (cos.f64 x)) (exp.f64 (cos.f64 y)))))) 2) (+.f64 (/.f64 (*.f64 (cos.f64 x) (+.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 (sin.f64 x) 16)) (.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)) (-.f64 (cos.f64 x) (cos.f64 y)))) 2) (+.f64 (.f64 (cbrt.f64 (.f64 (+.f64 (sqrt.f64 5) -1) (.f64 (cos.f64 x) 3/2))) (pow.f64 (cbrt.f64 (.f64 (+.f64 (sqrt.f64 5) -1) (*.f64 (cos.f64 x) 3/2))) 2)) (fma.f64 (cos.f64 y) (-.f64 9/2 (/.f64 (sqrt.f64 5) 2/3)) 3)))
	0.4b	(/.f64 (fma.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16)) (log.f64 (+.f64 1 (expm1.f64 (.f64 (+.f64 (sin.f64 x) (.f64 (sin.f64 y) -1/16)) (-.f64 (cos.f64 x) (cos.f64 y))))))) 2) (+.f64 (.f64 (cos.f64 x) (/.f64 1 (*.f64 1/6 (+.f64 (sqrt.f64 5) 1)))) (fma.f64 (cos.f64 y) (-.f64 9/2 (/.f64 (sqrt.f64 5) 2/3)) 3)))
	0.4b	(/.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 (/.f64 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) 2/3) (fma.f64 (cos.f64 y) (/.f64 9 (+.f64 9/2 (sqrt.f64 45/4))) 3)))
▶	0.4b	(/.f64 (fma.f64 (sqrt.f64 2) (pow.f64 (cbrt.f64 (.f64 (+.f64 (sin.f64 y) (.f64 (sin.f64 x) -1/16)) (.f64 (+.f64 (sin.f64 x) (.f64 (sin.f64 y) -1/16)) (-.f64 (cos.f64 x) (cos.f64 y))))) 3) 2) (+.f64 (.f64 (cos.f64 x) (/.f64 1 (.f64 1/6 (+.f64 (sqrt.f64 5) 1)))) (fma.f64 (cos.f64 y) (-.f64 9/2 (/.f64 (sqrt.f64 5) 2/3)) 3)))
	0.4b	(/.f64 (fma.f64 (sqrt.f64 2) (-.f64 (exp.f64 (log1p.f64 (.f64 (+.f64 (sin.f64 y) (.f64 (sin.f64 x) -1/16)) (.f64 (+.f64 (sin.f64 x) (.f64 (sin.f64 y) -1/16)) (-.f64 (cos.f64 x) (cos.f64 y)))))) 1) 2) (+.f64 (.f64 (cos.f64 x) (/.f64 1 (.f64 1/6 (+.f64 (sqrt.f64 5) 1)))) (fma.f64 (cos.f64 y) (-.f64 9/2 (/.f64 (sqrt.f64 5) 2/3)) 3)))
	0.4b	(/.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 (/.f64 (cbrt.f64 (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (+.f64 (sqrt.f64 5) -1) 3))) 2/3) (fma.f64 (cos.f64 y) (-.f64 9/2 (/.f64 (sqrt.f64 5) 2/3)) 3)))
	0.4b	(/.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 (/.f64 (log.f64 (pow.f64 (exp.f64 (+.f64 (sqrt.f64 5) -1)) (cos.f64 x))) 2/3) (fma.f64 (cos.f64 y) (-.f64 9/2 (/.f64 (sqrt.f64 5) 2/3)) 3)))
	4.1b	(/.f64 (fma.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16)) (-.f64 (exp.f64 (log1p.f64 (.f64 (+.f64 (sin.f64 x) (.f64 (sin.f64 y) -1/16)) (-.f64 (cos.f64 x) (cos.f64 y))))) 1)) 2) (+.f64 (.f64 (cos.f64 x) (/.f64 1 (*.f64 1/6 (+.f64 (sqrt.f64 5) 1)))) (fma.f64 (cos.f64 y) (-.f64 9/2 (/.f64 (sqrt.f64 5) 2/3)) 3)))
	0.8b	(/.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 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1))) 3) 2/3) (fma.f64 (cos.f64 y) (-.f64 9/2 (/.f64 (sqrt.f64 5) 2/3)) 3)))
	0.4b	(/.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)) (pow.f64 (cbrt.f64 (-.f64 (cos.f64 x) (cos.f64 y))) 3))) 2) (+.f64 (/.f64 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) 2/3) (fma.f64 (cos.f64 y) (-.f64 9/2 (/.f64 (sqrt.f64 5) 2/3)) 3)))
	0.4b	(/.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 (/.f64 (+.f64 (*.f64 (sqrt.f64 5) (cos.f64 x)) (neg.f64 (cos.f64 x))) 2/3) (fma.f64 (cos.f64 y) (-.f64 9/2 (/.f64 (sqrt.f64 5) 2/3)) 3)))
	0.4b	(/.f64 (fma.f64 (sqrt.f64 2) (log.f64 (pow.f64 (pow.f64 (exp.f64 (+.f64 (sin.f64 x) (.f64 (sin.f64 y) -1/16))) (-.f64 (cos.f64 x) (cos.f64 y))) (+.f64 (sin.f64 y) (.f64 (sin.f64 x) -1/16)))) 2) (+.f64 (.f64 (cos.f64 x) (/.f64 1 (.f64 1/6 (+.f64 (sqrt.f64 5) 1)))) (fma.f64 (cos.f64 y) (-.f64 9/2 (/.f64 (sqrt.f64 5) 2/3)) 3)))

Compiler

Compiled 11311 to 7619 computations (32.6% saved)

localize34.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.5b	(cbrt.f64 (.f64 (+.f64 (sin.f64 y) (.f64 (sin.f64 x) -1/16)) (.f64 (+.f64 (sin.f64 x) (.f64 (sin.f64 y) -1/16)) (-.f64 (cos.f64 x) (cos.f64 y)))))
✓	0.6b	(pow.f64 (cbrt.f64 (.f64 (+.f64 (sin.f64 y) (.f64 (sin.f64 x) -1/16)) (.f64 (+.f64 (sin.f64 x) (.f64 (sin.f64 y) -1/16)) (-.f64 (cos.f64 x) (cos.f64 y))))) 3)
	1.0b	(-.f64 9/2 (/.f64 (sqrt.f64 5) 2/3))
	1.7b	(-.f64 (cos.f64 x) (cos.f64 y))

series134.0ms (1%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
45.0ms	x	@	0	(pow.f64 (cbrt.f64 (.f64 (+.f64 (sin.f64 y) (.f64 (sin.f64 x) -1/16)) (.f64 (+.f64 (sin.f64 x) (.f64 (sin.f64 y) -1/16)) (-.f64 (cos.f64 x) (cos.f64 y))))) 3)
42.0ms	y	@	0	(pow.f64 (cbrt.f64 (.f64 (+.f64 (sin.f64 y) (.f64 (sin.f64 x) -1/16)) (.f64 (+.f64 (sin.f64 x) (.f64 (sin.f64 y) -1/16)) (-.f64 (cos.f64 x) (cos.f64 y))))) 3)
17.0ms	x	@	0	(cbrt.f64 (.f64 (+.f64 (sin.f64 y) (.f64 (sin.f64 x) -1/16)) (.f64 (+.f64 (sin.f64 x) (.f64 (sin.f64 y) -1/16)) (-.f64 (cos.f64 x) (cos.f64 y)))))
14.0ms	y	@	0	(cbrt.f64 (.f64 (+.f64 (sin.f64 y) (.f64 (sin.f64 x) -1/16)) (.f64 (+.f64 (sin.f64 x) (.f64 (sin.f64 y) -1/16)) (-.f64 (cos.f64 x) (cos.f64 y)))))
3.0ms	y	@	inf	(pow.f64 (cbrt.f64 (.f64 (+.f64 (sin.f64 y) (.f64 (sin.f64 x) -1/16)) (.f64 (+.f64 (sin.f64 x) (.f64 (sin.f64 y) -1/16)) (-.f64 (cos.f64 x) (cos.f64 y))))) 3)

rewrite42.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

204×	`add-sqr-sqrt_binary64`
197×	`pow1_binary64`
196×	`*-un-lft-identity_binary64`
191×	`add-log-exp_binary64`
191×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	70
1	406	62

Stop Event

1×	node limit

Counts

2 → 57

Calls

Call 1

Inputs

(pow.f64 (cbrt.f64 (*.f64 (+.f64 (sin.f64 y) (*.f64 (sin.f64 x) -1/16)) (*.f64 (+.f64 (sin.f64 x) (*.f64 (sin.f64 y) -1/16)) (-.f64 (cos.f64 x) (cos.f64 y))))) 3)

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 y) (*.f64 (fma.f64 (sin.f64 y) -1/16 (sin.f64 x)) (-.f64 (cos.f64 x) (cos.f64 y)))) (*.f64 (*.f64 (sin.f64 x) -1/16) (*.f64 (fma.f64 (sin.f64 y) -1/16 (sin.f64 x)) (-.f64 (cos.f64 x) (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (sin.f64 x) -1/16) (*.f64 (fma.f64 (sin.f64 y) -1/16 (sin.f64 x)) (-.f64 (cos.f64 x) (cos.f64 y)))) (*.f64 (sin.f64 y) (*.f64 (fma.f64 (sin.f64 y) -1/16 (sin.f64 x)) (-.f64 (cos.f64 x) (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 x) (*.f64 (fma.f64 (sin.f64 x) -1/16 (sin.f64 y)) (fma.f64 (sin.f64 y) -1/16 (sin.f64 x)))) (*.f64 (neg.f64 (cos.f64 y)) (*.f64 (fma.f64 (sin.f64 x) -1/16 (sin.f64 y)) (fma.f64 (sin.f64 y) -1/16 (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (fma.f64 (sin.f64 y) -1/16 (sin.f64 x)) (-.f64 (cos.f64 x) (cos.f64 y))) (sin.f64 y)) (*.f64 (*.f64 (fma.f64 (sin.f64 y) -1/16 (sin.f64 x)) (-.f64 (cos.f64 x) (cos.f64 y))) (*.f64 (sin.f64 x) -1/16)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (fma.f64 (sin.f64 y) -1/16 (sin.f64 x)) (-.f64 (cos.f64 x) (cos.f64 y))) (*.f64 (sin.f64 x) -1/16)) (*.f64 (*.f64 (fma.f64 (sin.f64 y) -1/16 (sin.f64 x)) (-.f64 (cos.f64 x) (cos.f64 y))) (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (fma.f64 (sin.f64 x) -1/16 (sin.f64 y)) (fma.f64 (sin.f64 y) -1/16 (sin.f64 x))) (cos.f64 x)) (*.f64 (*.f64 (fma.f64 (sin.f64 x) -1/16 (sin.f64 y)) (fma.f64 (sin.f64 y) -1/16 (sin.f64 x))) (neg.f64 (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (fma.f64 (sin.f64 x) -1/16 (sin.f64 y)) (*.f64 (fma.f64 (sin.f64 y) -1/16 (sin.f64 x)) (-.f64 (cos.f64 x) (cos.f64 y)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (sin.f64 x) -1/16 (sin.f64 y)) (*.f64 (fma.f64 (sin.f64 y) -1/16 (sin.f64 x)) (-.f64 (cos.f64 x) (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (fma.f64 (sin.f64 y) -1/16 (sin.f64 x)) (-.f64 (cos.f64 x) (cos.f64 y))) (fma.f64 (sin.f64 x) -1/16 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (fma.f64 (sin.f64 x) -1/16 (sin.f64 y)) (*.f64 (fma.f64 (sin.f64 y) -1/16 (sin.f64 x)) (-.f64 (cos.f64 x) (cos.f64 y))))) (pow.f64 (cbrt.f64 (*.f64 (fma.f64 (sin.f64 x) -1/16 (sin.f64 y)) (*.f64 (fma.f64 (sin.f64 y) -1/16 (sin.f64 x)) (-.f64 (cos.f64 x) (cos.f64 y))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (fma.f64 (sin.f64 x) -1/16 (sin.f64 y)) (*.f64 (fma.f64 (sin.f64 y) -1/16 (sin.f64 x)) (-.f64 (cos.f64 x) (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (fma.f64 (sin.f64 x) -1/16 (sin.f64 y)) (*.f64 (fma.f64 (sin.f64 y) -1/16 (sin.f64 x)) (-.f64 (cos.f64 x) (cos.f64 y))))) 2) (cbrt.f64 (*.f64 (fma.f64 (sin.f64 x) -1/16 (sin.f64 y)) (*.f64 (fma.f64 (sin.f64 y) -1/16 (sin.f64 x)) (-.f64 (cos.f64 x) (cos.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (fma.f64 (sin.f64 x) -1/16 (sin.f64 y)) (*.f64 (fma.f64 (sin.f64 y) -1/16 (sin.f64 x)) (-.f64 (cos.f64 x) (cos.f64 y))))) (sqrt.f64 (*.f64 (fma.f64 (sin.f64 x) -1/16 (sin.f64 y)) (*.f64 (fma.f64 (sin.f64 y) -1/16 (sin.f64 x)) (-.f64 (cos.f64 x) (cos.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (fma.f64 (sin.f64 x) -1/16 (sin.f64 y)) (fma.f64 (sin.f64 y) -1/16 (sin.f64 x))) (-.f64 (cos.f64 x) (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 (fma.f64 (sin.f64 x) -1/16 (sin.f64 y)) (*.f64 (fma.f64 (sin.f64 y) -1/16 (sin.f64 x)) (-.f64 (cos.f64 x) (cos.f64 y))))) 2)) 3) (cbrt.f64 (*.f64 (fma.f64 (sin.f64 x) -1/16 (sin.f64 y)) (*.f64 (fma.f64 (sin.f64 y) -1/16 (sin.f64 x)) (-.f64 (cos.f64 x) (cos.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 (fma.f64 (sin.f64 x) -1/16 (sin.f64 y)) (*.f64 (fma.f64 (sin.f64 y) -1/16 (sin.f64 x)) (-.f64 (cos.f64 x) (cos.f64 y)))) 1/6) 3) (pow.f64 (pow.f64 (*.f64 (fma.f64 (sin.f64 x) -1/16 (sin.f64 y)) (*.f64 (fma.f64 (sin.f64 y) -1/16 (sin.f64 x)) (-.f64 (cos.f64 x) (cos.f64 y)))) 1/6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 (sin.f64 y) 3) (*.f64 -1/4096 (pow.f64 (sin.f64 x) 3))) (*.f64 (fma.f64 (sin.f64 y) -1/16 (sin.f64 x)) (-.f64 (cos.f64 x) (cos.f64 y)))) (+.f64 (pow.f64 (sin.f64 y) 2) (*.f64 (*.f64 (sin.f64 x) -1/16) (-.f64 (*.f64 (sin.f64 x) -1/16) (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (*.f64 (sin.f64 x) -1/16) 2)) (*.f64 (fma.f64 (sin.f64 y) -1/16 (sin.f64 x)) (-.f64 (cos.f64 x) (cos.f64 y)))) (+.f64 (sin.f64 y) (*.f64 1/16 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (fma.f64 (sin.f64 y) -1/16 (sin.f64 x)) (-.f64 (cos.f64 x) (cos.f64 y))) (+.f64 (pow.f64 (sin.f64 y) 3) (*.f64 -1/4096 (pow.f64 (sin.f64 x) 3)))) (+.f64 (pow.f64 (sin.f64 y) 2) (*.f64 (*.f64 (sin.f64 x) -1/16) (-.f64 (*.f64 (sin.f64 x) -1/16) (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (fma.f64 (sin.f64 y) -1/16 (sin.f64 x)) (-.f64 (cos.f64 x) (cos.f64 y))) (-.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (*.f64 (sin.f64 x) -1/16) 2))) (+.f64 (sin.f64 y) (*.f64 1/16 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (fma.f64 (sin.f64 x) -1/16 (sin.f64 y)) (fma.f64 (sin.f64 y) -1/16 (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 y) (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (fma.f64 (sin.f64 x) -1/16 (sin.f64 y)) (fma.f64 (sin.f64 y) -1/16 (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 sqrt.f64 (pow.f64 (*.f64 (fma.f64 (sin.f64 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-1/16 (sin.f64 x)) (-.f64 (cos.f64 x) (cos.f64 y))) 3) (pow.f64 (fma.f64 (sin.f64 x) -1/16 (sin.f64 y)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (fma.f64 (sin.f64 x) -1/16 (sin.f64 y)) (*.f64 (fma.f64 (sin.f64 y) -1/16 (sin.f64 x)) (-.f64 (cos.f64 x) (cos.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (fma.f64 (sin.f64 x) -1/16 (sin.f64 y)) (*.f64 (fma.f64 (sin.f64 y) -1/16 (sin.f64 x)) (-.f64 (cos.f64 x) (cos.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (fma.f64 (sin.f64 x) -1/16 (sin.f64 y)) (*.f64 (fma.f64 (sin.f64 y) -1/16 (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 (sin.f64 x) -1/16 (sin.f64 y)) (*.f64 (fma.f64 (sin.f64 y) -1/16 (sin.f64 x)) (-.f64 (cos.f64 x) (cos.f64 y))))) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (*.f64 (fma.f64 (sin.f64 x) -1/16 (sin.f64 y)) (*.f64 (fma.f64 (sin.f64 y) -1/16 (sin.f64 x)) (-.f64 (cos.f64 x) (cos.f64 y))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (*.f64 (fma.f64 (sin.f64 x) -1/16 (sin.f64 y)) (*.f64 (fma.f64 (sin.f64 y) -1/16 (sin.f64 x)) (-.f64 (cos.f64 x) (cos.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (fma.f64 (sin.f64 y) -1/16 (sin.f64 x)) (-.f64 (cos.f64 x) (cos.f64 y)))) (cbrt.f64 (fma.f64 (sin.f64 x) -1/16 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (sin.f64 x) -1/16 (sin.f64 y))) (cbrt.f64 (*.f64 (fma.f64 (sin.f64 y) -1/16 (sin.f64 x)) (-.f64 (cos.f64 x) (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 (fma.f64 (sin.f64 x) -1/16 (sin.f64 y)) (*.f64 (fma.f64 (sin.f64 y) -1/16 (sin.f64 x)) (-.f64 (cos.f64 x) (cos.f64 y)))))) (cbrt.f64 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#<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (*.f64 (fma.f64 (sin.f64 x) -1/16 (sin.f64 y)) (*.f64 (fma.f64 (sin.f64 y) -1/16 (sin.f64 x)) (-.f64 (cos.f64 x) (cos.f64 y))))) 1/3) (pow.f64 (sqrt.f64 (*.f64 (fma.f64 (sin.f64 x) -1/16 (sin.f64 y)) (*.f64 (fma.f64 (sin.f64 y) -1/16 (sin.f64 x)) (-.f64 (cos.f64 x) (cos.f64 y))))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (fma.f64 (sin.f64 x) -1/16 (sin.f64 y)) (fma.f64 (sin.f64 y) -1/16 (sin.f64 x))) 1/3) (cbrt.f64 (-.f64 (cos.f64 x) (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (fma.f64 (sin.f64 x) -1/16 (sin.f64 y)) (*.f64 (fma.f64 (sin.f64 y) -1/16 (sin.f64 x)) (-.f64 (cos.f64 x) (cos.f64 y)))) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (fma.f64 (sin.f64 x) -1/16 (sin.f64 y)) (*.f64 (fma.f64 (sin.f64 y) -1/16 (sin.f64 x)) (-.f64 (cos.f64 x) (cos.f64 y))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (fma.f64 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simplify92.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

793×	`associate-r_binary64`
604×	`associate-l_binary64`
594×	`fma-def_binary64`
208×	`*-commutative_binary64`
112×	`associate-/l*_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	470	6632
1	1642	6352

Stop Event

1×	node limit

Counts

105 → 93

Calls

Call 1

Inputs
(.f64 -1/16 (.f64 (-.f64 (cos.f64 x) 1) (pow.f64 (sin.f64 x) 2)))
(-.f64 (+.f64 (.f64 257/256 (.f64 (.f64 y (cos.f64 x)) (.f64 (pow.f64 (.f64 (pow.f64 (-.f64 (cos.f64 x) 1) 4) (pow.f64 (sin.f64 x) 17)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1/16) 4) 1/3)))) (.f64 1/16 (pow.f64 (sin.f64 x) 2))) (+.f64 (.f64 1/16 (.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 x))) (.f64 257/256 (.f64 y (.f64 (pow.f64 (.f64 (pow.f64 (-.f64 (cos.f64 x) 1) 4) (pow.f64 (sin.f64 x) 17)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1/16) 4) 1/3))))))
(-.f64 (+.f64 (.f64 257/256 (.f64 (.f64 y (cos.f64 x)) (.f64 (pow.f64 (.f64 (pow.f64 (-.f64 (cos.f64 x) 1) 4) (pow.f64 (sin.f64 x) 17)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1/16) 4) 1/3)))) (+.f64 (.f64 1/16 (pow.f64 y 2)) (.f64 1/16 (pow.f64 (sin.f64 x) 2)))) (+.f64 (.f64 1/16 (.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 x))) (+.f64 (.f64 1/32 (.f64 (pow.f64 y 2) (pow.f64 (sin.f64 x) 2))) (+.f64 (.f64 257/256 (.f64 y (.f64 (pow.f64 (.f64 (pow.f64 (-.f64 (cos.f64 x) 1) 4) (pow.f64 (sin.f64 x) 17)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1/16) 4) 1/3)))) (.f64 1/16 (*.f64 (pow.f64 y 2) (cos.f64 x)))))))
(-.f64 (+.f64 (.f64 1/16 (pow.f64 y 2)) (+.f64 (.f64 257/256 (.f64 (.f64 y (cos.f64 x)) (.f64 (pow.f64 (.f64 (pow.f64 (-.f64 (cos.f64 x) 1) 4) (pow.f64 (sin.f64 x) 17)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1/16) 4) 1/3)))) (+.f64 (.f64 1/16 (pow.f64 (sin.f64 x) 2)) (+.f64 (.f64 16974593/21233664 (.f64 (.f64 (pow.f64 y 3) (cbrt.f64 -1/16)) (pow.f64 (/.f64 (pow.f64 (sin.f64 x) 5) (pow.f64 (-.f64 (cos.f64 x) 1) 2)) 1/3))) (+.f64 (.f64 16974593/339738624 (.f64 (/.f64 (pow.f64 y 3) (pow.f64 (cbrt.f64 -1/16) 2)) (pow.f64 (/.f64 (pow.f64 (sin.f64 x) 5) (pow.f64 (-.f64 (cos.f64 x) 1) 2)) 1/3))) (+.f64 (.f64 257/384 (.f64 (pow.f64 y 3) (sin.f64 x))) (+.f64 (.f64 16974593/113246208 (.f64 (/.f64 (.f64 (pow.f64 y 3) (pow.f64 (cos.f64 x) 2)) (pow.f64 (cbrt.f64 -1/16) 2)) (pow.f64 (/.f64 (pow.f64 (sin.f64 x) 5) (pow.f64 (-.f64 (cos.f64 x) 1) 2)) 1/3))) (.f64 16974593/7077888 (.f64 (.f64 (pow.f64 y 3) (.f64 (pow.f64 (cos.f64 x) 2) (cbrt.f64 -1/16))) (pow.f64 (/.f64 (pow.f64 (sin.f64 x) 5) (pow.f64 (-.f64 (cos.f64 x) 1) 2)) 1/3)))))))))) (+.f64 (.f64 1/16 (.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 x))) (+.f64 (.f64 16974593/339738624 (.f64 (/.f64 (.f64 (pow.f64 y 3) (pow.f64 (cos.f64 x) 3)) (pow.f64 (cbrt.f64 -1/16) 2)) (pow.f64 (/.f64 (pow.f64 (sin.f64 x) 5) (pow.f64 (-.f64 (cos.f64 x) 1) 2)) 1/3))) (+.f64 (.f64 16974593/113246208 (.f64 (/.f64 (.f64 (pow.f64 y 3) (cos.f64 x)) (pow.f64 (cbrt.f64 -1/16) 2)) (pow.f64 (/.f64 (pow.f64 (sin.f64 x) 5) (pow.f64 (-.f64 (cos.f64 x) 1) 2)) 1/3))) (+.f64 (.f64 1/32 (.f64 (pow.f64 y 2) (pow.f64 (sin.f64 x) 2))) (+.f64 (.f64 16974593/21233664 (.f64 (.f64 (pow.f64 y 3) (.f64 (pow.f64 (cos.f64 x) 3) (cbrt.f64 -1/16))) (pow.f64 (/.f64 (pow.f64 (sin.f64 x) 5) (pow.f64 (-.f64 (cos.f64 x) 1) 2)) 1/3))) (+.f64 (.f64 257/1536 (.f64 (pow.f64 y 3) (.f64 (sin.f64 x) (cos.f64 x)))) (+.f64 (.f64 16974593/7077888 (.f64 (.f64 (pow.f64 y 3) (.f64 (cos.f64 x) (cbrt.f64 -1/16))) (pow.f64 (/.f64 (pow.f64 (sin.f64 x) 5) (pow.f64 (-.f64 (cos.f64 x) 1) 2)) 1/3))) (+.f64 (.f64 257/256 (.f64 y (.f64 (pow.f64 (.f64 (pow.f64 (-.f64 (cos.f64 x) 1) 4) (pow.f64 (sin.f64 x) 17)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1/16) 4) 1/3)))) (.f64 1/16 (.f64 (pow.f64 y 2) (cos.f64 x))))))))))))
(.f64 (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))) (.f64 (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x))) (-.f64 (cos.f64 x) (cos.f64 y))))
(.f64 (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))) (.f64 (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x))) (-.f64 (cos.f64 x) (cos.f64 y))))
(.f64 (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))) (.f64 (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x))) (-.f64 (cos.f64 x) (cos.f64 y))))
(.f64 (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))) (.f64 (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x))) (-.f64 (cos.f64 x) (cos.f64 y))))
(.f64 (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))) (.f64 (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x))) (-.f64 (cos.f64 x) (cos.f64 y))))
(.f64 (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))) (.f64 (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x))) (-.f64 (cos.f64 x) (cos.f64 y))))
(.f64 (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))) (.f64 (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x))) (-.f64 (cos.f64 x) (cos.f64 y))))
(.f64 (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))) (.f64 (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x))) (-.f64 (cos.f64 x) (cos.f64 y))))
(.f64 -1/16 (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2)))
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(-.f64 (+.f64 (.f64 257/384 (.f64 (pow.f64 (.f64 (pow.f64 (sin.f64 y) 17) (pow.f64 (-.f64 1 (cos.f64 y)) 4)) 1/9) (.f64 (pow.f64 (pow.f64 (cbrt.f64 -1/16) 4) 1/3) x))) (+.f64 (.f64 1/32 (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2))) (+.f64 (.f64 1/16 (.f64 (cos.f64 y) (pow.f64 x 2))) (+.f64 (.f64 1/16 (.f64 (pow.f64 (sin.f64 y) 2) (cos.f64 y))) (.f64 257/768 (.f64 (pow.f64 (.f64 (pow.f64 (-.f64 1 (cos.f64 y)) 4) (pow.f64 (sin.f64 y) 17)) 1/9) (.f64 (pow.f64 (pow.f64 (cbrt.f64 -1/16) 4) 1/3) x))))))) (+.f64 (.f64 257/768 (.f64 (pow.f64 (.f64 (pow.f64 (-.f64 1 (cos.f64 y)) 4) (pow.f64 (sin.f64 y) 17)) 1/9) (.f64 (.f64 (cos.f64 y) x) (pow.f64 (pow.f64 (cbrt.f64 -1/16) 4) 1/3)))) (+.f64 (.f64 1/16 (pow.f64 x 2)) (+.f64 (.f64 1/16 (pow.f64 (sin.f64 y) 2)) (.f64 257/384 (.f64 (pow.f64 (.f64 (pow.f64 (sin.f64 y) 17) (pow.f64 (-.f64 1 (cos.f64 y)) 4)) 1/9) (.f64 (.f64 (cos.f64 y) x) (pow.f64 (pow.f64 (cbrt.f64 -1/16) 4) 1/3))))))))
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(-.f64 (+.f64 (.f64 257/768 (.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 y) 5) (pow.f64 (-.f64 1 (cos.f64 y)) 2)) 1/9) (.f64 x (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/16) 2)) 1/3)))) (.f64 (pow.f64 (.f64 (pow.f64 (sin.f64 y) 2) (-.f64 1 (cos.f64 y))) 1/3) (cbrt.f64 -1/16))) (.f64 257/768 (.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 y) 5) (pow.f64 (-.f64 1 (cos.f64 y)) 2)) 1/9) (.f64 (*.f64 (cos.f64 y) x) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/16) 2)) 1/3)))))
(-.f64 (+.f64 (.f64 (pow.f64 (.f64 (pow.f64 (sin.f64 y) 2) (-.f64 1 (cos.f64 y))) 1/3) (cbrt.f64 -1/16)) (+.f64 (.f64 257/768 (.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 y) 5) (pow.f64 (-.f64 1 (cos.f64 y)) 2)) 1/9) (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/16) 2)) 1/3) x))) (+.f64 (.f64 66049/294912 (.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 y) 4) (pow.f64 (-.f64 1 (cos.f64 y)) 7)) 1/9) (.f64 (.f64 (cos.f64 y) (pow.f64 x 2)) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/16) 7)) 1/3)))) (+.f64 (.f64 1/96 (.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (-.f64 1 (cos.f64 y)) 2)) 1/3) (/.f64 (pow.f64 x 2) (pow.f64 (cbrt.f64 -1/16) 2)))) (.f64 1/48 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (-.f64 1 (cos.f64 y)) 2) (pow.f64 (sin.f64 y) 4))) 1/3) (/.f64 (.f64 (cos.f64 y) (pow.f64 x 2)) (pow.f64 (cbrt.f64 -1/16) 2)))))))) (+.f64 (.f64 1/48 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (-.f64 1 (cos.f64 y)) 2) (pow.f64 (sin.f64 y) 4))) 1/3) (/.f64 (pow.f64 x 2) (pow.f64 (cbrt.f64 -1/16) 2)))) (+.f64 (.f64 66049/589824 (.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 y) 4) (pow.f64 (-.f64 1 (cos.f64 y)) 7)) 1/9) (.f64 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/16) 7)) 1/3)))) (+.f64 (.f64 66049/589824 (.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 y) 4) (pow.f64 (-.f64 1 (cos.f64 y)) 7)) 1/9) (.f64 (pow.f64 x 2) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/16) 7)) 1/3)))) (.f64 257/768 (.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 y) 5) (pow.f64 (-.f64 1 (cos.f64 y)) 2)) 1/9) (.f64 (*.f64 (cos.f64 y) x) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/16) 2)) 1/3))))))))
(-.f64 (+.f64 (.f64 257/4608 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (-.f64 1 (cos.f64 y)) 2) (sin.f64 y))) 1/3) (/.f64 (.f64 (cos.f64 y) (pow.f64 x 3)) (pow.f64 (cbrt.f64 -1/16) 2)))) (+.f64 (.f64 257/768 (.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 y) 5) (pow.f64 (-.f64 1 (cos.f64 y)) 2)) 1/9) (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/16) 2)) 1/3) x))) (+.f64 (.f64 84872965/452984832 (.f64 (pow.f64 (/.f64 (sin.f64 y) (pow.f64 (-.f64 1 (cos.f64 y)) 4)) 1/3) (/.f64 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 3)) (pow.f64 (cbrt.f64 -1/16) 4)))) (+.f64 (.f64 1/96 (.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (-.f64 1 (cos.f64 y)) 2)) 1/3) (/.f64 (pow.f64 x 2) (pow.f64 (cbrt.f64 -1/16) 2)))) (+.f64 (.f64 257/36864 (.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 y) 5) (pow.f64 (-.f64 1 (cos.f64 y)) 11)) 1/9) (.f64 (.f64 (cos.f64 y) (pow.f64 x 3)) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/16) 11)) 1/3)))) (+.f64 (.f64 (pow.f64 (.f64 (pow.f64 (sin.f64 y) 2) (-.f64 1 (cos.f64 y))) 1/3) (cbrt.f64 -1/16)) (+.f64 (.f64 257/18432 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (-.f64 1 (cos.f64 y)) 11) (pow.f64 (sin.f64 y) 13))) 1/9) (.f64 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 3)) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/16) 11)) 1/3)))) (+.f64 (.f64 66049/294912 (.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 y) 4) (pow.f64 (-.f64 1 (cos.f64 y)) 7)) 1/9) (.f64 (.f64 (cos.f64 y) (pow.f64 x 2)) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/16) 7)) 1/3)))) (+.f64 (.f64 257/18432 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (-.f64 1 (cos.f64 y)) 11) (pow.f64 (sin.f64 y) 13))) 1/9) (.f64 (pow.f64 x 3) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/16) 11)) 1/3)))) (+.f64 (.f64 84872965/1358954496 (.f64 (pow.f64 (/.f64 (sin.f64 y) (pow.f64 (-.f64 1 (cos.f64 y)) 4)) 1/3) (/.f64 (pow.f64 x 3) (pow.f64 (cbrt.f64 -1/16) 4)))) (.f64 1/48 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (-.f64 1 (cos.f64 y)) 2) (pow.f64 (sin.f64 y) 4))) 1/3) (/.f64 (.f64 (cos.f64 y) (pow.f64 x 2)) (pow.f64 (cbrt.f64 -1/16) 2)))))))))))))) (+.f64 (.f64 1/48 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (-.f64 1 (cos.f64 y)) 2) (pow.f64 (sin.f64 y) 4))) 1/3) (/.f64 (pow.f64 x 2) (pow.f64 (cbrt.f64 -1/16) 2)))) (+.f64 (.f64 257/9216 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (-.f64 1 (cos.f64 y)) 11) (pow.f64 (sin.f64 y) 13))) 1/9) (.f64 (.f64 (cos.f64 y) (pow.f64 x 3)) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/16) 11)) 1/3)))) (+.f64 (.f64 257/1152 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (-.f64 1 (cos.f64 y)) 2) (sin.f64 y))) 1/3) (/.f64 (pow.f64 x 3) (pow.f64 (cbrt.f64 -1/16) 2)))) (+.f64 (.f64 66049/589824 (.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 y) 4) (pow.f64 (-.f64 1 (cos.f64 y)) 7)) 1/9) (.f64 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/16) 7)) 1/3)))) (+.f64 (.f64 84872965/1358954496 (.f64 (pow.f64 (/.f64 (sin.f64 y) (pow.f64 (-.f64 1 (cos.f64 y)) 4)) 1/3) (/.f64 (.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)) (pow.f64 (cbrt.f64 -1/16) 4)))) (+.f64 (.f64 84872965/452984832 (.f64 (pow.f64 (/.f64 (sin.f64 y) (pow.f64 (-.f64 1 (cos.f64 y)) 4)) 1/3) (/.f64 (.f64 (cos.f64 y) (pow.f64 x 3)) (pow.f64 (cbrt.f64 -1/16) 4)))) (+.f64 (.f64 257/36864 (.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 y) 5) (pow.f64 (-.f64 1 (cos.f64 y)) 11)) 1/9) (.f64 (pow.f64 x 3) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/16) 11)) 1/3)))) (+.f64 (.f64 257/768 (.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 y) 5) (pow.f64 (-.f64 1 (cos.f64 y)) 2)) 1/9) (.f64 (.f64 (cos.f64 y) x) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/16) 2)) 1/3)))) (.f64 66049/589824 (.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 y) 4) (pow.f64 (-.f64 1 (cos.f64 y)) 7)) 1/9) (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/16) 7)) 1/3) (pow.f64 x 2)))))))))))))
(pow.f64 (.f64 (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))) (.f64 (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x))) (-.f64 (cos.f64 x) (cos.f64 y)))) 1/3)
(pow.f64 (.f64 (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))) (.f64 (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x))) (-.f64 (cos.f64 x) (cos.f64 y)))) 1/3)
(pow.f64 (.f64 (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))) (.f64 (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x))) (-.f64 (cos.f64 x) (cos.f64 y)))) 1/3)
(pow.f64 (.f64 (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))) (.f64 (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x))) (-.f64 (cos.f64 x) (cos.f64 y)))) 1/3)
(pow.f64 (.f64 (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))) (.f64 (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x))) (-.f64 (cos.f64 x) (cos.f64 y)))) 1/3)
(pow.f64 (.f64 (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))) (.f64 (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x))) (-.f64 (cos.f64 x) (cos.f64 y)))) 1/3)
(pow.f64 (.f64 (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))) (.f64 (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x))) (-.f64 (cos.f64 x) (cos.f64 y)))) 1/3)
(pow.f64 (.f64 (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))) (.f64 (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x))) (-.f64 (cos.f64 x) (cos.f64 y)))) 1/3)

Outputs
(.f64 -1/16 (.f64 (-.f64 (cos.f64 x) 1) (pow.f64 (sin.f64 x) 2)))
(.f64 (.f64 -1/16 (+.f64 (cos.f64 x) -1)) (pow.f64 (sin.f64 x) 2))
(.f64 (+.f64 (.f64 (cos.f64 x) -1/16) 1/16) (pow.f64 (sin.f64 x) 2))
(-.f64 (+.f64 (.f64 257/256 (.f64 (.f64 y (cos.f64 x)) (.f64 (pow.f64 (.f64 (pow.f64 (-.f64 (cos.f64 x) 1) 4) (pow.f64 (sin.f64 x) 17)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1/16) 4) 1/3)))) (.f64 1/16 (pow.f64 (sin.f64 x) 2))) (+.f64 (.f64 1/16 (.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 x))) (.f64 257/256 (.f64 y (.f64 (pow.f64 (.f64 (pow.f64 (-.f64 (cos.f64 x) 1) 4) (pow.f64 (sin.f64 x) 17)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1/16) 4) 1/3))))))
(-.f64 (fma.f64 257/256 (.f64 y (.f64 (cos.f64 x) (.f64 (.f64 (pow.f64 (.f64 (pow.f64 (+.f64 (cos.f64 x) -1) 4) (pow.f64 (sin.f64 x) 17)) 1/18) (pow.f64 (.f64 (pow.f64 (+.f64 (cos.f64 x) -1) 4) (pow.f64 (sin.f64 x) 17)) 1/18)) (cbrt.f64 (pow.f64 (cbrt.f64 -1/16) 4))))) (.f64 (pow.f64 (sin.f64 x) 2) 1/16)) (fma.f64 1/16 (.f64 (cos.f64 x) (pow.f64 (sin.f64 x) 2)) (.f64 257/256 (.f64 y (.f64 (.f64 (pow.f64 (.f64 (pow.f64 (+.f64 (cos.f64 x) -1) 4) (pow.f64 (sin.f64 x) 17)) 1/18) (pow.f64 (.f64 (pow.f64 (+.f64 (cos.f64 x) -1) 4) (pow.f64 (sin.f64 x) 17)) 1/18)) (cbrt.f64 (pow.f64 (cbrt.f64 -1/16) 4)))))))
(-.f64 (fma.f64 257/256 (.f64 (.f64 (.f64 (.f64 (cos.f64 x) y) (pow.f64 (.f64 (pow.f64 (+.f64 (cos.f64 x) -1) 4) (pow.f64 (sin.f64 x) 17)) 1/18)) (pow.f64 (.f64 (pow.f64 (+.f64 (cos.f64 x) -1) 4) (pow.f64 (sin.f64 x) 17)) 1/18)) (cbrt.f64 (pow.f64 (cbrt.f64 -1/16) 4))) (.f64 (pow.f64 (sin.f64 x) 2) 1/16)) (fma.f64 257/256 (.f64 y (.f64 (.f64 (pow.f64 (.f64 (pow.f64 (+.f64 (cos.f64 x) -1) 4) (pow.f64 (sin.f64 x) 17)) 1/18) (pow.f64 (.f64 (pow.f64 (+.f64 (cos.f64 x) -1) 4) (pow.f64 (sin.f64 x) 17)) 1/18)) (cbrt.f64 (pow.f64 (cbrt.f64 -1/16) 4)))) (.f64 (pow.f64 (sin.f64 x) 2) (.f64 1/16 (cos.f64 x)))))
(-.f64 (+.f64 (.f64 257/256 (.f64 (.f64 y (cos.f64 x)) (.f64 (pow.f64 (.f64 (pow.f64 (-.f64 (cos.f64 x) 1) 4) (pow.f64 (sin.f64 x) 17)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1/16) 4) 1/3)))) (+.f64 (.f64 1/16 (pow.f64 y 2)) (.f64 1/16 (pow.f64 (sin.f64 x) 2)))) (+.f64 (.f64 1/16 (.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 x))) (+.f64 (.f64 1/32 (.f64 (pow.f64 y 2) (pow.f64 (sin.f64 x) 2))) (+.f64 (.f64 257/256 (.f64 y (.f64 (pow.f64 (.f64 (pow.f64 (-.f64 (cos.f64 x) 1) 4) (pow.f64 (sin.f64 x) 17)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1/16) 4) 1/3)))) (.f64 1/16 (*.f64 (pow.f64 y 2) (cos.f64 x)))))))
(-.f64 (fma.f64 257/256 (.f64 y (.f64 (cos.f64 x) (.f64 (.f64 (pow.f64 (.f64 (pow.f64 (+.f64 (cos.f64 x) -1) 4) (pow.f64 (sin.f64 x) 17)) 1/18) (pow.f64 (.f64 (pow.f64 (+.f64 (cos.f64 x) -1) 4) (pow.f64 (sin.f64 x) 17)) 1/18)) (cbrt.f64 (pow.f64 (cbrt.f64 -1/16) 4))))) (.f64 1/16 (+.f64 (.f64 y y) (pow.f64 (sin.f64 x) 2)))) (fma.f64 1/16 (.f64 (cos.f64 x) (pow.f64 (sin.f64 x) 2)) (fma.f64 1/32 (.f64 (pow.f64 (sin.f64 x) 2) (.f64 y y)) (fma.f64 257/256 (.f64 y (.f64 (.f64 (pow.f64 (.f64 (pow.f64 (+.f64 (cos.f64 x) -1) 4) (pow.f64 (sin.f64 x) 17)) 1/18) (pow.f64 (.f64 (pow.f64 (+.f64 (cos.f64 x) -1) 4) (pow.f64 (sin.f64 x) 17)) 1/18)) (cbrt.f64 (pow.f64 (cbrt.f64 -1/16) 4)))) (.f64 1/16 (.f64 (cos.f64 x) (*.f64 y y)))))))
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(pow.f64 (.f64 (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))) (.f64 (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x))) (-.f64 (cos.f64 x) (cos.f64 y)))) 1/3)
(cbrt.f64 (.f64 (+.f64 (sin.f64 x) (.f64 -1/16 (sin.f64 y))) (.f64 (+.f64 (sin.f64 y) (.f64 -1/16 (sin.f64 x))) (-.f64 (cos.f64 x) (cos.f64 y)))))
(pow.f64 (.f64 (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))) (.f64 (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x))) (-.f64 (cos.f64 x) (cos.f64 y)))) 1/3)
(cbrt.f64 (.f64 (+.f64 (sin.f64 x) (.f64 -1/16 (sin.f64 y))) (.f64 (+.f64 (sin.f64 y) (.f64 -1/16 (sin.f64 x))) (-.f64 (cos.f64 x) (cos.f64 y)))))
(pow.f64 (.f64 (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))) (.f64 (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x))) (-.f64 (cos.f64 x) (cos.f64 y)))) 1/3)
(cbrt.f64 (.f64 (+.f64 (sin.f64 x) (.f64 -1/16 (sin.f64 y))) (.f64 (+.f64 (sin.f64 y) (.f64 -1/16 (sin.f64 x))) (-.f64 (cos.f64 x) (cos.f64 y)))))
(pow.f64 (.f64 (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))) (.f64 (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x))) (-.f64 (cos.f64 x) (cos.f64 y)))) 1/3)
(cbrt.f64 (.f64 (+.f64 (sin.f64 x) (.f64 -1/16 (sin.f64 y))) (.f64 (+.f64 (sin.f64 y) (.f64 -1/16 (sin.f64 x))) (-.f64 (cos.f64 x) (cos.f64 y)))))
(pow.f64 (.f64 (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))) (.f64 (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x))) (-.f64 (cos.f64 x) (cos.f64 y)))) 1/3)
(cbrt.f64 (.f64 (+.f64 (sin.f64 x) (.f64 -1/16 (sin.f64 y))) (.f64 (+.f64 (sin.f64 y) (.f64 -1/16 (sin.f64 x))) (-.f64 (cos.f64 x) (cos.f64 y)))))
(pow.f64 (.f64 (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))) (.f64 (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x))) (-.f64 (cos.f64 x) (cos.f64 y)))) 1/3)
(cbrt.f64 (.f64 (+.f64 (sin.f64 x) (.f64 -1/16 (sin.f64 y))) (.f64 (+.f64 (sin.f64 y) (.f64 -1/16 (sin.f64 x))) (-.f64 (cos.f64 x) (cos.f64 y)))))
(pow.f64 (.f64 (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))) (.f64 (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x))) (-.f64 (cos.f64 x) (cos.f64 y)))) 1/3)
(cbrt.f64 (.f64 (+.f64 (sin.f64 x) (.f64 -1/16 (sin.f64 y))) (.f64 (+.f64 (sin.f64 y) (.f64 -1/16 (sin.f64 x))) (-.f64 (cos.f64 x) (cos.f64 y)))))
(pow.f64 (.f64 (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))) (.f64 (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x))) (-.f64 (cos.f64 x) (cos.f64 y)))) 1/3)
(cbrt.f64 (.f64 (+.f64 (sin.f64 x) (.f64 -1/16 (sin.f64 y))) (.f64 (+.f64 (sin.f64 y) (.f64 -1/16 (sin.f64 x))) (-.f64 (cos.f64 x) (cos.f64 y)))))
(.f64 (pow.f64 (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2)) 1/3) (cbrt.f64 -1/16))
(.f64 (cbrt.f64 -1/16) (cbrt.f64 (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2))))
(-.f64 (+.f64 (.f64 257/768 (.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 y) 5) (pow.f64 (-.f64 1 (cos.f64 y)) 2)) 1/9) (.f64 x (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/16) 2)) 1/3)))) (.f64 (pow.f64 (.f64 (pow.f64 (sin.f64 y) 2) (-.f64 1 (cos.f64 y))) 1/3) (cbrt.f64 -1/16))) (.f64 257/768 (.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 y) 5) (pow.f64 (-.f64 1 (cos.f64 y)) 2)) 1/9) (.f64 (*.f64 (cos.f64 y) x) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/16) 2)) 1/3)))))
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(-.f64 (fma.f64 257/4608 (.f64 (.f64 (/.f64 (cos.f64 y) (pow.f64 (cbrt.f64 -1/16) 2)) (pow.f64 x 3)) (cbrt.f64 (/.f64 1 (.f64 (sin.f64 y) (pow.f64 (-.f64 1 (cos.f64 y)) 2))))) (fma.f64 257/768 (.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 y) 5) (pow.f64 (-.f64 1 (cos.f64 y)) 2)) 1/18) (.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 y) 5) (pow.f64 (-.f64 1 (cos.f64 y)) 2)) 1/18) (.f64 x (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/16) 2)))))) (fma.f64 84872965/452984832 (.f64 (cbrt.f64 (/.f64 (sin.f64 y) (pow.f64 (-.f64 1 (cos.f64 y)) 4))) (.f64 (/.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 (cbrt.f64 -1/16) 4)) (pow.f64 x 3))) (fma.f64 1/96 (.f64 (cbrt.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (-.f64 1 (cos.f64 y)) 2))) (/.f64 x (/.f64 (pow.f64 (cbrt.f64 -1/16) 2) x))) (fma.f64 257/36864 (.f64 (.f64 (cos.f64 y) (pow.f64 x 3)) (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/16) 11))) (.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 y) 5) (pow.f64 (-.f64 1 (cos.f64 y)) 11)) 1/18) (pow.f64 (/.f64 (pow.f64 (sin.f64 y) 5) (pow.f64 (-.f64 1 (cos.f64 y)) 11)) 1/18)))) (fma.f64 (cbrt.f64 -1/16) (cbrt.f64 (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2))) (fma.f64 257/18432 (.f64 (pow.f64 (cos.f64 y) 2) (.f64 (.f64 (pow.f64 (/.f64 (/.f64 1 (pow.f64 (sin.f64 y) 13)) (pow.f64 (-.f64 1 (cos.f64 y)) 11)) 1/18) (pow.f64 (/.f64 (/.f64 1 (pow.f64 (sin.f64 y) 13)) (pow.f64 (-.f64 1 (cos.f64 y)) 11)) 1/18)) (.f64 (pow.f64 x 3) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/16) 11)))))) (fma.f64 66049/294912 (.f64 (.f64 (.f64 (cos.f64 y) (.f64 (.f64 x x) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/16) 7))))) (pow.f64 (/.f64 (pow.f64 (sin.f64 y) 4) (pow.f64 (-.f64 1 (cos.f64 y)) 7)) 1/18)) (pow.f64 (/.f64 (pow.f64 (sin.f64 y) 4) (pow.f64 (-.f64 1 (cos.f64 y)) 7)) 1/18)) (fma.f64 257/18432 (.f64 (.f64 (pow.f64 (/.f64 (/.f64 1 (pow.f64 (sin.f64 y) 13)) (pow.f64 (-.f64 1 (cos.f64 y)) 11)) 1/18) (pow.f64 (/.f64 (/.f64 1 (pow.f64 (sin.f64 y) 13)) (pow.f64 (-.f64 1 (cos.f64 y)) 11)) 1/18)) (.f64 (pow.f64 x 3) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/16) 11))))) (fma.f64 1/48 (.f64 (cbrt.f64 (/.f64 (/.f64 1 (pow.f64 (-.f64 1 (cos.f64 y)) 2)) (pow.f64 (sin.f64 y) 4))) (.f64 (/.f64 (cos.f64 y) (pow.f64 (cbrt.f64 -1/16) 2)) (.f64 x x))) (.f64 (cbrt.f64 (/.f64 (sin.f64 y) (pow.f64 (-.f64 1 (cos.f64 y)) 4))) (.f64 (/.f64 (pow.f64 x 3) (pow.f64 (cbrt.f64 -1/16) 4)) 84872965/1358954496)))))))))))) (fma.f64 1/48 (.f64 (/.f64 x (/.f64 (pow.f64 (cbrt.f64 -1/16) 2) x)) (cbrt.f64 (/.f64 (/.f64 1 (pow.f64 (-.f64 1 (cos.f64 y)) 2)) (pow.f64 (sin.f64 y) 4)))) (fma.f64 257/9216 (.f64 (.f64 (.f64 (cos.f64 y) (pow.f64 x 3)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/16) 11)))) (.f64 (pow.f64 (/.f64 (/.f64 1 (pow.f64 (sin.f64 y) 13)) (pow.f64 (-.f64 1 (cos.f64 y)) 11)) 1/18) (pow.f64 (/.f64 (/.f64 1 (pow.f64 (sin.f64 y) 13)) (pow.f64 (-.f64 1 (cos.f64 y)) 11)) 1/18))) (fma.f64 257/1152 (.f64 (/.f64 (pow.f64 x 3) (pow.f64 (cbrt.f64 -1/16) 2)) (cbrt.f64 (/.f64 1 (.f64 (sin.f64 y) (pow.f64 (-.f64 1 (cos.f64 y)) 2))))) (fma.f64 66049/589824 (.f64 (.f64 (.f64 (pow.f64 (cos.f64 y) 2) (.f64 (.f64 x x) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/16) 7))))) (pow.f64 (/.f64 (pow.f64 (sin.f64 y) 4) (pow.f64 (-.f64 1 (cos.f64 y)) 7)) 1/18)) (pow.f64 (/.f64 (pow.f64 (sin.f64 y) 4) (pow.f64 (-.f64 1 (cos.f64 y)) 7)) 1/18)) (fma.f64 84872965/1358954496 (.f64 (cbrt.f64 (/.f64 (sin.f64 y) (pow.f64 (-.f64 1 (cos.f64 y)) 4))) (/.f64 (pow.f64 (cos.f64 y) 3) (/.f64 (pow.f64 (cbrt.f64 -1/16) 4) (pow.f64 x 3)))) (fma.f64 84872965/452984832 (.f64 (cbrt.f64 (/.f64 (sin.f64 y) (pow.f64 (-.f64 1 (cos.f64 y)) 4))) (.f64 (/.f64 (cos.f64 y) (pow.f64 (cbrt.f64 -1/16) 4)) (pow.f64 x 3))) (fma.f64 257/36864 (.f64 (pow.f64 x 3) (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/16) 11))) (.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 y) 5) (pow.f64 (-.f64 1 (cos.f64 y)) 11)) 1/18) (pow.f64 (/.f64 (pow.f64 (sin.f64 y) 5) (pow.f64 (-.f64 1 (cos.f64 y)) 11)) 1/18)))) (fma.f64 257/768 (.f64 (cos.f64 y) (.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 y) 5) (pow.f64 (-.f64 1 (cos.f64 y)) 2)) 1/18) (.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 y) 5) (pow.f64 (-.f64 1 (cos.f64 y)) 2)) 1/18) (.f64 x (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/16) 2))))))) (.f64 66049/589824 (.f64 (.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 y) 4) (pow.f64 (-.f64 1 (cos.f64 y)) 7)) 1/18) (pow.f64 (/.f64 (pow.f64 (sin.f64 y) 4) (pow.f64 (-.f64 1 (cos.f64 y)) 7)) 1/18)) (.f64 (.f64 x x) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/16) 7)))))))))))))))
(pow.f64 (.f64 (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))) (.f64 (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x))) (-.f64 (cos.f64 x) (cos.f64 y)))) 1/3)
(cbrt.f64 (.f64 (+.f64 (sin.f64 x) (.f64 -1/16 (sin.f64 y))) (.f64 (+.f64 (sin.f64 y) (.f64 -1/16 (sin.f64 x))) (-.f64 (cos.f64 x) (cos.f64 y)))))
(pow.f64 (.f64 (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))) (.f64 (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x))) (-.f64 (cos.f64 x) (cos.f64 y)))) 1/3)
(cbrt.f64 (.f64 (+.f64 (sin.f64 x) (.f64 -1/16 (sin.f64 y))) (.f64 (+.f64 (sin.f64 y) (.f64 -1/16 (sin.f64 x))) (-.f64 (cos.f64 x) (cos.f64 y)))))
(pow.f64 (.f64 (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))) (.f64 (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x))) (-.f64 (cos.f64 x) (cos.f64 y)))) 1/3)
(cbrt.f64 (.f64 (+.f64 (sin.f64 x) (.f64 -1/16 (sin.f64 y))) (.f64 (+.f64 (sin.f64 y) (.f64 -1/16 (sin.f64 x))) (-.f64 (cos.f64 x) (cos.f64 y)))))
(pow.f64 (.f64 (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))) (.f64 (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x))) (-.f64 (cos.f64 x) (cos.f64 y)))) 1/3)
(cbrt.f64 (.f64 (+.f64 (sin.f64 x) (.f64 -1/16 (sin.f64 y))) (.f64 (+.f64 (sin.f64 y) (.f64 -1/16 (sin.f64 x))) (-.f64 (cos.f64 x) (cos.f64 y)))))
(pow.f64 (.f64 (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))) (.f64 (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x))) (-.f64 (cos.f64 x) (cos.f64 y)))) 1/3)
(cbrt.f64 (.f64 (+.f64 (sin.f64 x) (.f64 -1/16 (sin.f64 y))) (.f64 (+.f64 (sin.f64 y) (.f64 -1/16 (sin.f64 x))) (-.f64 (cos.f64 x) (cos.f64 y)))))
(pow.f64 (.f64 (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))) (.f64 (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x))) (-.f64 (cos.f64 x) (cos.f64 y)))) 1/3)
(cbrt.f64 (.f64 (+.f64 (sin.f64 x) (.f64 -1/16 (sin.f64 y))) (.f64 (+.f64 (sin.f64 y) (.f64 -1/16 (sin.f64 x))) (-.f64 (cos.f64 x) (cos.f64 y)))))
(pow.f64 (.f64 (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))) (.f64 (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x))) (-.f64 (cos.f64 x) (cos.f64 y)))) 1/3)
(cbrt.f64 (.f64 (+.f64 (sin.f64 x) (.f64 -1/16 (sin.f64 y))) (.f64 (+.f64 (sin.f64 y) (.f64 -1/16 (sin.f64 x))) (-.f64 (cos.f64 x) (cos.f64 y)))))
(pow.f64 (.f64 (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))) (.f64 (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x))) (-.f64 (cos.f64 x) (cos.f64 y)))) 1/3)
(cbrt.f64 (.f64 (+.f64 (sin.f64 x) (.f64 -1/16 (sin.f64 y))) (.f64 (+.f64 (sin.f64 y) (.f64 -1/16 (sin.f64 x))) (-.f64 (cos.f64 x) (cos.f64 y)))))

prune758.0ms (5.6%)

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	165	2	167
Fresh	3	11	14
Picked	0	1	1
Done	0	0	0
Total	168	14	182

Error

0.1b

Counts

182 → 14

Alt Table

Status	Error	Program
	0.4b	(/.f64 (fma.f64 (sqrt.f64 2) (log.f64 (+.f64 1 (expm1.f64 (.f64 (fma.f64 (sin.f64 x) -1/16 (sin.f64 y)) (.f64 (fma.f64 (sin.f64 y) -1/16 (sin.f64 x)) (-.f64 (cos.f64 x) (cos.f64 y))))))) 2) (+.f64 (.f64 (cos.f64 x) (/.f64 1 (.f64 1/6 (+.f64 (sqrt.f64 5) 1)))) (fma.f64 (cos.f64 y) (-.f64 9/2 (/.f64 (sqrt.f64 5) 2/3)) 3)))
	11.0b	(/.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 (-.f64 (exp.f64 (log1p.f64 (.f64 (+.f64 (sqrt.f64 5) -1) (.f64 (cos.f64 x) 3/2)))) 1) (fma.f64 (cos.f64 y) (-.f64 9/2 (/.f64 (sqrt.f64 5) 2/3)) 3)))
	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 (cbrt.f64 (pow.f64 (.f64 (cos.f64 x) (-.f64 (/.f64 (sqrt.f64 5) 2) 1/2)) 3))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
	0.4b	(/.f64 (fma.f64 (sqrt.f64 2) (pow.f64 (.f64 (cbrt.f64 (.f64 (fma.f64 (sin.f64 y) -1/16 (sin.f64 x)) (-.f64 (cos.f64 x) (cos.f64 y)))) (cbrt.f64 (fma.f64 (sin.f64 x) -1/16 (sin.f64 y)))) 3) 2) (+.f64 (.f64 (cos.f64 x) (/.f64 1 (.f64 1/6 (+.f64 (sqrt.f64 5) 1)))) (fma.f64 (cos.f64 y) (-.f64 9/2 (/.f64 (sqrt.f64 5) 2/3)) 3)))
	0.4b	(/.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 (/.f64 (+.f64 (*.f64 (sqrt.f64 5) (cos.f64 x)) (neg.f64 (cos.f64 x))) 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 (sin.f64 x) 16)) (.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)) (-.f64 (cos.f64 x) (cos.f64 y)))) 2) (+.f64 (.f64 (cbrt.f64 (.f64 (+.f64 (sqrt.f64 5) -1) (.f64 (cos.f64 x) 3/2))) (pow.f64 (cbrt.f64 (.f64 (+.f64 (sqrt.f64 5) -1) (*.f64 (cos.f64 x) 3/2))) 2)) (fma.f64 (cos.f64 y) (-.f64 9/2 (/.f64 (sqrt.f64 5) 2/3)) 3)))
	0.4b	(/.f64 (fma.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16)) (log.f64 (+.f64 1 (expm1.f64 (.f64 (+.f64 (sin.f64 x) (.f64 (sin.f64 y) -1/16)) (-.f64 (cos.f64 x) (cos.f64 y))))))) 2) (+.f64 (.f64 (cos.f64 x) (/.f64 1 (*.f64 1/6 (+.f64 (sqrt.f64 5) 1)))) (fma.f64 (cos.f64 y) (-.f64 9/2 (/.f64 (sqrt.f64 5) 2/3)) 3)))
	0.4b	(/.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 (/.f64 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) 2/3) (fma.f64 (cos.f64 y) (/.f64 9 (+.f64 9/2 (sqrt.f64 45/4))) 3)))
✓	0.4b	(/.f64 (fma.f64 (sqrt.f64 2) (pow.f64 (cbrt.f64 (.f64 (+.f64 (sin.f64 y) (.f64 (sin.f64 x) -1/16)) (.f64 (+.f64 (sin.f64 x) (.f64 (sin.f64 y) -1/16)) (-.f64 (cos.f64 x) (cos.f64 y))))) 3) 2) (+.f64 (.f64 (cos.f64 x) (/.f64 1 (.f64 1/6 (+.f64 (sqrt.f64 5) 1)))) (fma.f64 (cos.f64 y) (-.f64 9/2 (/.f64 (sqrt.f64 5) 2/3)) 3)))
	0.4b	(/.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 (/.f64 (cbrt.f64 (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (+.f64 (sqrt.f64 5) -1) 3))) 2/3) (fma.f64 (cos.f64 y) (-.f64 9/2 (/.f64 (sqrt.f64 5) 2/3)) 3)))
	0.4b	(/.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 (/.f64 (log.f64 (pow.f64 (exp.f64 (+.f64 (sqrt.f64 5) -1)) (cos.f64 x))) 2/3) (fma.f64 (cos.f64 y) (-.f64 9/2 (/.f64 (sqrt.f64 5) 2/3)) 3)))
	4.1b	(/.f64 (fma.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16)) (-.f64 (exp.f64 (log1p.f64 (.f64 (+.f64 (sin.f64 x) (.f64 (sin.f64 y) -1/16)) (-.f64 (cos.f64 x) (cos.f64 y))))) 1)) 2) (+.f64 (.f64 (cos.f64 x) (/.f64 1 (*.f64 1/6 (+.f64 (sqrt.f64 5) 1)))) (fma.f64 (cos.f64 y) (-.f64 9/2 (/.f64 (sqrt.f64 5) 2/3)) 3)))
	0.8b	(/.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 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1))) 3) 2/3) (fma.f64 (cos.f64 y) (-.f64 9/2 (/.f64 (sqrt.f64 5) 2/3)) 3)))
	0.4b	(/.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)) (pow.f64 (cbrt.f64 (-.f64 (cos.f64 x) (cos.f64 y))) 3))) 2) (+.f64 (/.f64 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) 2/3) (fma.f64 (cos.f64 y) (-.f64 9/2 (/.f64 (sqrt.f64 5) 2/3)) 3)))

Compiler

Compiled 15640 to 11111 computations (29% saved)

regimes608.0ms (4.5%)

Accuracy

Total 0.3b remaining (64.7%)

Threshold costs 0.3b (64.7%)

Counts

189 → 1

Compiler

Compiled 9279 to 6156 computations (33.7% saved)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Rules

13×	`+-commutative_binary64`
11×	`sub-neg_binary64`
10×	`*-commutative_binary64`
7×	`neg-sub0_binary64`
7×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	76
1	49	76
2	68	76
3	82	76
4	92	76
5	95	76

Stop Event

1×

saturated

Calls

Call 1

Inputs

(/.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 (/.f64 (/.f64 (*.f64 (cos.f64 x) 4) (+.f64 (sqrt.f64 5) 1)) 2/3) (fma.f64 (cos.f64 y) (-.f64 9/2 (/.f64 (sqrt.f64 5) 2/3)) 3)))

Outputs

(/.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 (/.f64 (/.f64 (*.f64 (cos.f64 x) 4) (+.f64 (sqrt.f64 5) 1)) 2/3) (fma.f64 (cos.f64 y) (-.f64 9/2 (/.f64 (sqrt.f64 5) 2/3)) 3)))

end495.0ms (3.6%)

Stop Event

1×

fuel

Compiler

Compiled 837 to 641 computations (23.4% saved)

Details

analyze1.1s (8.3%)

sample8.5s (62.4%)

preprocess35.0ms (0.3%)

simplify25.0ms (0.2%)

prune7.0ms (0.1%)

localize30.0ms (0.2%)

series25.0ms (0.2%)

rewrite37.0ms (0.3%)

simplify49.0ms (0.4%)

prune216.0ms (1.6%)

localize29.0ms (0.2%)

series4.0ms (0%)

rewrite61.0ms (0.4%)

simplify39.0ms (0.3%)

prune412.0ms (3%)

localize42.0ms (0.3%)

series10.0ms (0.1%)

rewrite52.0ms (0.4%)

simplify46.0ms (0.3%)

prune711.0ms (5.2%)

localize34.0ms (0.2%)

series134.0ms (1%)

rewrite42.0ms (0.3%)

simplify92.0ms (0.7%)

prune758.0ms (5.6%)

regimes608.0ms (4.5%)

simplify4.0ms (0%)

end495.0ms (3.6%)

Profiling