Details

analyze1.2s (7.7%)

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)

sample8.1s (52.7%)

Results

5.4s	3634×	body	1024	valid
1.4s	1400×	body	512	valid
875.0ms	2603×	body	128	valid
391.0ms	604×	body	256	valid
38.0ms	15×	body	2048	valid

preprocess27.0ms (0.2%)

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)

simplify24.0ms (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%)

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

Status

Error

Program

▶

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)))))

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 (*.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 298 to 221 computations (25.8% saved)

localize29.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(.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)))
✓	0.4b	(*.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)))
✓	1.0b	(-.f64 3 (sqrt.f64 5))
✓	2.3b	(-.f64 (cos.f64 x) (cos.f64 y))

series22.0ms (0.1%)

Counts

4 → 56

Calls

18 calls:

Time	Variable		Point	Expression
5.0ms	x	@	-inf	(.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)))
2.0ms	x	@	inf	(.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)))
1.0ms	y	@	inf	(.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)))
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)))

rewrite36.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

259×	`add-sqr-sqrt_binary64`
250×	`*-un-lft-identity_binary64`
250×	`pow1_binary64`
245×	`add-exp-log_binary64`
245×	`add-log-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	69
1	506	69

Stop Event

1×	node limit

Counts

4 → 54

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 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)))

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

simplify44.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

841×	`associate-r_binary64`
544×	`distribute-rgt-in_binary64`
542×	`distribute-lft-in_binary64`
168×	`fma-def_binary64`
115×	`*-commutative_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	159	1700
1	474	1684
2	1671	1619

Stop Event

1×	node limit

Counts

110 → 105

Calls

Call 1

Inputs
(-.f64 1 (cos.f64 y))
(-.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 x 2))) (cos.f64 y))
(-.f64 (+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 1/24 (pow.f64 x 4)))) (cos.f64 y))
(-.f64 (+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 1/24 (pow.f64 x 4)) (*.f64 -1/720 (pow.f64 x 6))))) (cos.f64 y))
(-.f64 (cos.f64 x) 1)
(-.f64 (+.f64 (cos.f64 x) (*.f64 1/2 (pow.f64 y 2))) 1)
(-.f64 (+.f64 (cos.f64 x) (+.f64 (.f64 1/2 (pow.f64 y 2)) (.f64 -1/24 (pow.f64 y 4)))) 1)
(-.f64 (+.f64 (cos.f64 x) (+.f64 (.f64 1/2 (pow.f64 y 2)) (+.f64 (.f64 1/720 (pow.f64 y 6)) (*.f64 -1/24 (pow.f64 y 4))))) 1)
(.f64 -1/16 (.f64 (sqrt.f64 2) (sin.f64 y)))
(+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) (sin.f64 y))) (*.f64 (sqrt.f64 2) x))
(+.f64 (.f64 -1/6 (.f64 (sqrt.f64 2) (pow.f64 x 3))) (+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) (sin.f64 y))) (*.f64 (sqrt.f64 2) x)))
(+.f64 (.f64 -1/6 (.f64 (sqrt.f64 2) (pow.f64 x 3))) (+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) (sin.f64 y))) (+.f64 (.f64 (sqrt.f64 2) x) (.f64 1/120 (*.f64 (sqrt.f64 2) (pow.f64 x 5))))))
(.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))))
(.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))))
(.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))))
(.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))))
(.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))))
(.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))))
(.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))))
(.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))))
(*.f64 (sqrt.f64 2) (sin.f64 x))
(+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) y)) (*.f64 (sqrt.f64 2) (sin.f64 x)))
(+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) y)) (+.f64 (.f64 1/96 (.f64 (sqrt.f64 2) (pow.f64 y 3))) (*.f64 (sqrt.f64 2) (sin.f64 x))))
(+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) y)) (+.f64 (.f64 1/96 (.f64 (sqrt.f64 2) (pow.f64 y 3))) (+.f64 (.f64 (sqrt.f64 2) (sin.f64 x)) (.f64 -1/1920 (*.f64 (sqrt.f64 2) (pow.f64 y 5))))))
(.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))))
(.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))))
(.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))))
(.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))))
(.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))))
(.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))))
(.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))))
(.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))))
(.f64 -1/16 (.f64 (sqrt.f64 2) (*.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2))))
(+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2)))) (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (.f64 (+.f64 (*.f64 1/256 (sin.f64 y)) (sin.f64 y)) x))))
(+.f64 (.f64 (sqrt.f64 2) (.f64 (+.f64 (.f64 1/32 (pow.f64 (sin.f64 y) 2)) (.f64 -1/16 (-.f64 1 (cos.f64 y)))) (pow.f64 x 2))) (+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2)))) (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (.f64 (+.f64 (*.f64 1/256 (sin.f64 y)) (sin.f64 y)) x)))))
(+.f64 (.f64 (sqrt.f64 2) (.f64 (+.f64 (.f64 1/32 (pow.f64 (sin.f64 y) 2)) (.f64 -1/16 (-.f64 1 (cos.f64 y)))) (pow.f64 x 2))) (+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2)))) (+.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (.f64 (+.f64 (.f64 1/256 (sin.f64 y)) (sin.f64 y)) x))) (.f64 (sqrt.f64 2) (.f64 (+.f64 (.f64 (-.f64 1 (cos.f64 y)) (+.f64 (.f64 -1/1536 (sin.f64 y)) (.f64 -1/6 (sin.f64 y)))) (.f64 -1/2 (+.f64 (.f64 1/256 (sin.f64 y)) (sin.f64 y)))) (pow.f64 x 3))))))
(.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x))) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (-.f64 (sin.f64 x) (*.f64 1/16 (sin.f64 y))))))
(.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x))) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (-.f64 (sin.f64 x) (*.f64 1/16 (sin.f64 y))))))
(.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x))) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (-.f64 (sin.f64 x) (*.f64 1/16 (sin.f64 y))))))
(.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x))) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (-.f64 (sin.f64 x) (*.f64 1/16 (sin.f64 y))))))
(.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))) (-.f64 (sin.f64 y) (*.f64 1/16 (sin.f64 x))))))
(.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))) (-.f64 (sin.f64 y) (*.f64 1/16 (sin.f64 x))))))
(.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))) (-.f64 (sin.f64 y) (*.f64 1/16 (sin.f64 x))))))
(.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))) (-.f64 (sin.f64 y) (*.f64 1/16 (sin.f64 x))))))
(.f64 -1/16 (.f64 (sqrt.f64 2) (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))
(+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1)))) (.f64 (sqrt.f64 2) (.f64 y (.f64 (-.f64 (cos.f64 x) 1) (+.f64 (*.f64 1/256 (sin.f64 x)) (sin.f64 x))))))
(+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1)))) (+.f64 (.f64 (sqrt.f64 2) (.f64 y (.f64 (-.f64 (cos.f64 x) 1) (+.f64 (.f64 1/256 (sin.f64 x)) (sin.f64 x))))) (.f64 (sqrt.f64 2) (.f64 (pow.f64 y 2) (+.f64 (.f64 -1/32 (pow.f64 (sin.f64 x) 2)) (*.f64 -1/16 (-.f64 (cos.f64 x) 1)))))))
(+.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 y 3) (+.f64 (.f64 1/2 (+.f64 (.f64 1/256 (sin.f64 x)) (sin.f64 x))) (.f64 (+.f64 (.f64 -1/1536 (sin.f64 x)) (.f64 -1/6 (sin.f64 x))) (-.f64 (cos.f64 x) 1))))) (+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1)))) (+.f64 (.f64 (sqrt.f64 2) (.f64 y (.f64 (-.f64 (cos.f64 x) 1) (+.f64 (.f64 1/256 (sin.f64 x)) (sin.f64 x))))) (.f64 (sqrt.f64 2) (.f64 (pow.f64 y 2) (+.f64 (.f64 -1/32 (pow.f64 (sin.f64 x) 2)) (.f64 -1/16 (-.f64 (cos.f64 x) 1))))))))
(.f64 (sqrt.f64 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 (sqrt.f64 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 (sqrt.f64 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 (sqrt.f64 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 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))) (-.f64 (sin.f64 y) (*.f64 1/16 (sin.f64 x))))))
(.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))) (-.f64 (sin.f64 y) (*.f64 1/16 (sin.f64 x))))))
(.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))) (-.f64 (sin.f64 y) (*.f64 1/16 (sin.f64 x))))))
(.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))) (-.f64 (sin.f64 y) (*.f64 1/16 (sin.f64 x))))))

Outputs
(-.f64 1 (cos.f64 y))
(-.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 x 2))) (cos.f64 y))
(+.f64 1 (-.f64 (.f64 -1/2 (.f64 x x)) (cos.f64 y)))
(-.f64 (fma.f64 -1/2 (*.f64 x x) 1) (cos.f64 y))
(-.f64 (+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 1/24 (pow.f64 x 4)))) (cos.f64 y))
(+.f64 1 (-.f64 (fma.f64 -1/2 (.f64 x x) (.f64 1/24 (pow.f64 x 4))) (cos.f64 y)))
(+.f64 (fma.f64 -1/2 (.f64 x x) 1) (-.f64 (.f64 1/24 (pow.f64 x 4)) (cos.f64 y)))
(+.f64 (fma.f64 -1/2 (*.f64 x x) 1) (fma.f64 1/24 (pow.f64 x 4) (neg.f64 (cos.f64 y))))
(-.f64 (+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 1/24 (pow.f64 x 4)) (*.f64 -1/720 (pow.f64 x 6))))) (cos.f64 y))
(+.f64 1 (-.f64 (fma.f64 -1/2 (.f64 x x) (fma.f64 1/24 (pow.f64 x 4) (.f64 -1/720 (pow.f64 x 6)))) (cos.f64 y)))
(+.f64 1 (-.f64 (fma.f64 -1/2 (.f64 x x) (fma.f64 -1/720 (pow.f64 x 6) (.f64 1/24 (pow.f64 x 4)))) (cos.f64 y)))
(-.f64 (cos.f64 x) 1)
(+.f64 (cos.f64 x) -1)
(-.f64 (+.f64 (cos.f64 x) (*.f64 1/2 (pow.f64 y 2))) 1)
(+.f64 (cos.f64 x) (-.f64 (.f64 1/2 (.f64 y y)) 1))
(+.f64 (cos.f64 x) (fma.f64 1/2 (*.f64 y y) -1))
(+.f64 (cos.f64 x) (fma.f64 y (*.f64 y 1/2) -1))
(-.f64 (+.f64 (cos.f64 x) (+.f64 (.f64 1/2 (pow.f64 y 2)) (.f64 -1/24 (pow.f64 y 4)))) 1)
(+.f64 (cos.f64 x) (-.f64 (fma.f64 1/2 (.f64 y y) (.f64 -1/24 (pow.f64 y 4))) 1))
(+.f64 (cos.f64 x) (+.f64 (.f64 -1/24 (pow.f64 y 4)) (fma.f64 1/2 (.f64 y y) -1)))
(+.f64 (fma.f64 1/2 (*.f64 y y) (cos.f64 x)) (fma.f64 -1/24 (pow.f64 y 4) -1))
(-.f64 (+.f64 (cos.f64 x) (+.f64 (.f64 1/2 (pow.f64 y 2)) (+.f64 (.f64 1/720 (pow.f64 y 6)) (*.f64 -1/24 (pow.f64 y 4))))) 1)
(+.f64 (cos.f64 x) (-.f64 (fma.f64 1/2 (.f64 y y) (fma.f64 1/720 (pow.f64 y 6) (.f64 -1/24 (pow.f64 y 4)))) 1))
(+.f64 (fma.f64 1/2 (.f64 y y) (cos.f64 x)) (-.f64 (fma.f64 1/720 (pow.f64 y 6) (.f64 -1/24 (pow.f64 y 4))) 1))
(+.f64 (cos.f64 x) (+.f64 (fma.f64 1/2 (.f64 y y) (.f64 1/720 (pow.f64 y 6))) (fma.f64 -1/24 (pow.f64 y 4) -1)))
(.f64 -1/16 (.f64 (sqrt.f64 2) (sin.f64 y)))
(+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) (sin.f64 y))) (*.f64 (sqrt.f64 2) x))
(fma.f64 -1/16 (.f64 (sqrt.f64 2) (sin.f64 y)) (.f64 x (sqrt.f64 2)))
(fma.f64 x (sqrt.f64 2) (.f64 -1/16 (.f64 (sqrt.f64 2) (sin.f64 y))))
(.f64 (sqrt.f64 2) (+.f64 (.f64 -1/16 (sin.f64 y)) x))
(+.f64 (.f64 -1/6 (.f64 (sqrt.f64 2) (pow.f64 x 3))) (+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) (sin.f64 y))) (*.f64 (sqrt.f64 2) x)))
(fma.f64 -1/6 (.f64 (sqrt.f64 2) (pow.f64 x 3)) (fma.f64 -1/16 (.f64 (sqrt.f64 2) (sin.f64 y)) (*.f64 x (sqrt.f64 2))))
(fma.f64 -1/6 (.f64 (sqrt.f64 2) (pow.f64 x 3)) (fma.f64 x (sqrt.f64 2) (.f64 -1/16 (*.f64 (sqrt.f64 2) (sin.f64 y)))))
(fma.f64 -1/6 (.f64 (sqrt.f64 2) (pow.f64 x 3)) (.f64 (sqrt.f64 2) (+.f64 (*.f64 -1/16 (sin.f64 y)) x)))
(+.f64 (.f64 -1/6 (.f64 (sqrt.f64 2) (pow.f64 x 3))) (+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) (sin.f64 y))) (+.f64 (.f64 (sqrt.f64 2) x) (.f64 1/120 (*.f64 (sqrt.f64 2) (pow.f64 x 5))))))
(fma.f64 -1/6 (.f64 (sqrt.f64 2) (pow.f64 x 3)) (fma.f64 -1/16 (.f64 (sqrt.f64 2) (sin.f64 y)) (fma.f64 (sqrt.f64 2) x (.f64 1/120 (.f64 (sqrt.f64 2) (pow.f64 x 5))))))
(fma.f64 -1/6 (.f64 (sqrt.f64 2) (pow.f64 x 3)) (fma.f64 -1/16 (.f64 (sqrt.f64 2) (sin.f64 y)) (fma.f64 1/120 (.f64 (sqrt.f64 2) (pow.f64 x 5)) (.f64 x (sqrt.f64 2)))))
(+.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 1/120 (pow.f64 x 5)) x)) (.f64 (sqrt.f64 2) (+.f64 (.f64 -1/16 (sin.f64 y)) (*.f64 -1/6 (pow.f64 x 3)))))
(.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))))
(.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16)))
(.f64 (sqrt.f64 2) (+.f64 (sin.f64 x) (.f64 -1/16 (sin.f64 y))))
(.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))))
(.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16)))
(.f64 (sqrt.f64 2) (+.f64 (sin.f64 x) (.f64 -1/16 (sin.f64 y))))
(.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))))
(.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16)))
(.f64 (sqrt.f64 2) (+.f64 (sin.f64 x) (.f64 -1/16 (sin.f64 y))))
(.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))))
(.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16)))
(.f64 (sqrt.f64 2) (+.f64 (sin.f64 x) (.f64 -1/16 (sin.f64 y))))
(.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))))
(.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16)))
(.f64 (sqrt.f64 2) (+.f64 (sin.f64 x) (.f64 -1/16 (sin.f64 y))))
(.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))))
(.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16)))
(.f64 (sqrt.f64 2) (+.f64 (sin.f64 x) (.f64 -1/16 (sin.f64 y))))
(.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))))
(.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16)))
(.f64 (sqrt.f64 2) (+.f64 (sin.f64 x) (.f64 -1/16 (sin.f64 y))))
(.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))))
(.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16)))
(.f64 (sqrt.f64 2) (+.f64 (sin.f64 x) (.f64 -1/16 (sin.f64 y))))
(*.f64 (sqrt.f64 2) (sin.f64 x))
(+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) y)) (*.f64 (sqrt.f64 2) (sin.f64 x)))
(fma.f64 -1/16 (.f64 y (sqrt.f64 2)) (.f64 (sqrt.f64 2) (sin.f64 x)))
(fma.f64 (sqrt.f64 2) (sin.f64 x) (.f64 y (.f64 -1/16 (sqrt.f64 2))))
(.f64 (sqrt.f64 2) (+.f64 (sin.f64 x) (.f64 -1/16 y)))
(+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) y)) (+.f64 (.f64 1/96 (.f64 (sqrt.f64 2) (pow.f64 y 3))) (*.f64 (sqrt.f64 2) (sin.f64 x))))
(fma.f64 -1/16 (.f64 y (sqrt.f64 2)) (fma.f64 1/96 (.f64 (sqrt.f64 2) (pow.f64 y 3)) (*.f64 (sqrt.f64 2) (sin.f64 x))))
(fma.f64 -1/16 (.f64 y (sqrt.f64 2)) (fma.f64 (sqrt.f64 2) (sin.f64 x) (.f64 (sqrt.f64 2) (*.f64 (pow.f64 y 3) 1/96))))
(fma.f64 -1/16 (.f64 y (sqrt.f64 2)) (.f64 (sqrt.f64 2) (+.f64 (*.f64 1/96 (pow.f64 y 3)) (sin.f64 x))))
(+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) y)) (+.f64 (.f64 1/96 (.f64 (sqrt.f64 2) (pow.f64 y 3))) (+.f64 (.f64 (sqrt.f64 2) (sin.f64 x)) (.f64 -1/1920 (*.f64 (sqrt.f64 2) (pow.f64 y 5))))))
(fma.f64 -1/16 (.f64 y (sqrt.f64 2)) (fma.f64 1/96 (.f64 (sqrt.f64 2) (pow.f64 y 3)) (fma.f64 (sqrt.f64 2) (sin.f64 x) (.f64 -1/1920 (.f64 (sqrt.f64 2) (pow.f64 y 5))))))
(fma.f64 -1/16 (.f64 y (sqrt.f64 2)) (fma.f64 1/96 (.f64 (sqrt.f64 2) (pow.f64 y 3)) (fma.f64 (sqrt.f64 2) (sin.f64 x) (.f64 (pow.f64 y 5) (.f64 (sqrt.f64 2) -1/1920)))))
(+.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 -1/16 y))))
(.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))))
(.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16)))
(.f64 (sqrt.f64 2) (+.f64 (sin.f64 x) (.f64 -1/16 (sin.f64 y))))
(.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))))
(.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16)))
(.f64 (sqrt.f64 2) (+.f64 (sin.f64 x) (.f64 -1/16 (sin.f64 y))))
(.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))))
(.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16)))
(.f64 (sqrt.f64 2) (+.f64 (sin.f64 x) (.f64 -1/16 (sin.f64 y))))
(.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))))
(.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16)))
(.f64 (sqrt.f64 2) (+.f64 (sin.f64 x) (.f64 -1/16 (sin.f64 y))))
(.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))))
(.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16)))
(.f64 (sqrt.f64 2) (+.f64 (sin.f64 x) (.f64 -1/16 (sin.f64 y))))
(.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))))
(.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16)))
(.f64 (sqrt.f64 2) (+.f64 (sin.f64 x) (.f64 -1/16 (sin.f64 y))))
(.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))))
(.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16)))
(.f64 (sqrt.f64 2) (+.f64 (sin.f64 x) (.f64 -1/16 (sin.f64 y))))
(.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))))
(.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16)))
(.f64 (sqrt.f64 2) (+.f64 (sin.f64 x) (.f64 -1/16 (sin.f64 y))))
(.f64 -1/16 (.f64 (sqrt.f64 2) (*.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2))))
(.f64 (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2)) (*.f64 -1/16 (sqrt.f64 2)))
(.f64 -1/16 (.f64 (pow.f64 (sin.f64 y) 2) (*.f64 (-.f64 1 (cos.f64 y)) (sqrt.f64 2))))
(+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2)))) (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (.f64 (+.f64 (*.f64 1/256 (sin.f64 y)) (sin.f64 y)) x))))
(fma.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2))) (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (.f64 x (.f64 257/256 (sin.f64 y))))))
(fma.f64 -1/16 (.f64 (-.f64 1 (cos.f64 y)) (.f64 (pow.f64 (sin.f64 y) 2) (sqrt.f64 2))) (.f64 (-.f64 1 (cos.f64 y)) (.f64 (.f64 x (.f64 (sin.f64 y) 257/256)) (sqrt.f64 2))))
(.f64 (.f64 (-.f64 1 (cos.f64 y)) (sqrt.f64 2)) (+.f64 (.f64 (pow.f64 (sin.f64 y) 2) -1/16) (.f64 x (*.f64 (sin.f64 y) 257/256))))
(+.f64 (.f64 (sqrt.f64 2) (.f64 (+.f64 (.f64 1/32 (pow.f64 (sin.f64 y) 2)) (.f64 -1/16 (-.f64 1 (cos.f64 y)))) (pow.f64 x 2))) (+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2)))) (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (.f64 (+.f64 (*.f64 1/256 (sin.f64 y)) (sin.f64 y)) x)))))
(fma.f64 (sqrt.f64 2) (.f64 (.f64 x x) (fma.f64 1/32 (pow.f64 (sin.f64 y) 2) (.f64 (-.f64 1 (cos.f64 y)) -1/16))) (fma.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2))) (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (.f64 x (*.f64 257/256 (sin.f64 y)))))))
(fma.f64 (sqrt.f64 2) (.f64 x (.f64 x (fma.f64 (-.f64 1 (cos.f64 y)) -1/16 (.f64 (pow.f64 (sin.f64 y) 2) 1/32)))) (fma.f64 -1/16 (.f64 (-.f64 1 (cos.f64 y)) (.f64 (pow.f64 (sin.f64 y) 2) (sqrt.f64 2))) (.f64 (-.f64 1 (cos.f64 y)) (.f64 (.f64 x (*.f64 (sin.f64 y) 257/256)) (sqrt.f64 2)))))
(fma.f64 (sqrt.f64 2) (.f64 x (.f64 x (fma.f64 (-.f64 1 (cos.f64 y)) -1/16 (.f64 (pow.f64 (sin.f64 y) 2) 1/32)))) (.f64 (.f64 (-.f64 1 (cos.f64 y)) (sqrt.f64 2)) (+.f64 (.f64 (pow.f64 (sin.f64 y) 2) -1/16) (.f64 x (.f64 (sin.f64 y) 257/256)))))
(+.f64 (.f64 (sqrt.f64 2) (.f64 (+.f64 (.f64 1/32 (pow.f64 (sin.f64 y) 2)) (.f64 -1/16 (-.f64 1 (cos.f64 y)))) (pow.f64 x 2))) (+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2)))) (+.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (.f64 (+.f64 (.f64 1/256 (sin.f64 y)) (sin.f64 y)) x))) (.f64 (sqrt.f64 2) (.f64 (+.f64 (.f64 (-.f64 1 (cos.f64 y)) (+.f64 (.f64 -1/1536 (sin.f64 y)) (.f64 -1/6 (sin.f64 y)))) (.f64 -1/2 (+.f64 (.f64 1/256 (sin.f64 y)) (sin.f64 y)))) (pow.f64 x 3))))))
(fma.f64 (sqrt.f64 2) (.f64 (.f64 x x) (fma.f64 1/32 (pow.f64 (sin.f64 y) 2) (.f64 (-.f64 1 (cos.f64 y)) -1/16))) (fma.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2))) (.f64 (sqrt.f64 2) (+.f64 (.f64 (-.f64 1 (cos.f64 y)) (.f64 x (.f64 257/256 (sin.f64 y)))) (.f64 (pow.f64 x 3) (fma.f64 (-.f64 1 (cos.f64 y)) (.f64 (sin.f64 y) -257/1536) (.f64 -1/2 (*.f64 257/256 (sin.f64 y)))))))))
(fma.f64 (sqrt.f64 2) (.f64 x (.f64 x (fma.f64 (-.f64 1 (cos.f64 y)) -1/16 (.f64 (pow.f64 (sin.f64 y) 2) 1/32)))) (fma.f64 -1/16 (.f64 (-.f64 1 (cos.f64 y)) (.f64 (pow.f64 (sin.f64 y) 2) (sqrt.f64 2))) (.f64 (sqrt.f64 2) (fma.f64 (-.f64 1 (cos.f64 y)) (.f64 x (.f64 (sin.f64 y) 257/256)) (.f64 (pow.f64 x 3) (fma.f64 (-.f64 1 (cos.f64 y)) (.f64 (sin.f64 y) -257/1536) (*.f64 -257/512 (sin.f64 y))))))))
(+.f64 (.f64 (.f64 (-.f64 1 (cos.f64 y)) (sqrt.f64 2)) (+.f64 (.f64 (pow.f64 (sin.f64 y) 2) -1/16) (.f64 x (.f64 (sin.f64 y) 257/256)))) (.f64 (sqrt.f64 2) (+.f64 (.f64 (pow.f64 x 3) (fma.f64 (-.f64 1 (cos.f64 y)) (.f64 (sin.f64 y) -257/1536) (.f64 (sin.f64 y) -257/512))) (.f64 x (.f64 x (fma.f64 (-.f64 1 (cos.f64 y)) -1/16 (.f64 (pow.f64 (sin.f64 y) 2) 1/32)))))))
(.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x))) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (-.f64 (sin.f64 x) (*.f64 1/16 (sin.f64 y))))))
(.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16)) (.f64 (+.f64 (sin.f64 y) (*.f64 -1/16 (sin.f64 x))) (-.f64 (cos.f64 x) (cos.f64 y)))))
(.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (.f64 (+.f64 (sin.f64 x) (.f64 -1/16 (sin.f64 y))) (+.f64 (sin.f64 y) (*.f64 -1/16 (sin.f64 x)))) (sqrt.f64 2)))
(.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (+.f64 (sin.f64 x) (.f64 -1/16 (sin.f64 y))) (+.f64 (sin.f64 y) (*.f64 -1/16 (sin.f64 x))))))
(.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x))) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (-.f64 (sin.f64 x) (*.f64 1/16 (sin.f64 y))))))
(.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16)) (.f64 (+.f64 (sin.f64 y) (*.f64 -1/16 (sin.f64 x))) (-.f64 (cos.f64 x) (cos.f64 y)))))
(.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (.f64 (+.f64 (sin.f64 x) (.f64 -1/16 (sin.f64 y))) (+.f64 (sin.f64 y) (*.f64 -1/16 (sin.f64 x)))) (sqrt.f64 2)))
(.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (+.f64 (sin.f64 x) (.f64 -1/16 (sin.f64 y))) (+.f64 (sin.f64 y) (*.f64 -1/16 (sin.f64 x))))))
(.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x))) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (-.f64 (sin.f64 x) (*.f64 1/16 (sin.f64 y))))))
(.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16)) (.f64 (+.f64 (sin.f64 y) (*.f64 -1/16 (sin.f64 x))) (-.f64 (cos.f64 x) (cos.f64 y)))))
(.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (.f64 (+.f64 (sin.f64 x) (.f64 -1/16 (sin.f64 y))) (+.f64 (sin.f64 y) (*.f64 -1/16 (sin.f64 x)))) (sqrt.f64 2)))
(.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (+.f64 (sin.f64 x) (.f64 -1/16 (sin.f64 y))) (+.f64 (sin.f64 y) (*.f64 -1/16 (sin.f64 x))))))
(.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x))) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (-.f64 (sin.f64 x) (*.f64 1/16 (sin.f64 y))))))
(.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16)) (.f64 (+.f64 (sin.f64 y) (*.f64 -1/16 (sin.f64 x))) (-.f64 (cos.f64 x) (cos.f64 y)))))
(.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (.f64 (+.f64 (sin.f64 x) (.f64 -1/16 (sin.f64 y))) (+.f64 (sin.f64 y) (*.f64 -1/16 (sin.f64 x)))) (sqrt.f64 2)))
(.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (+.f64 (sin.f64 x) (.f64 -1/16 (sin.f64 y))) (+.f64 (sin.f64 y) (*.f64 -1/16 (sin.f64 x))))))
(.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))) (-.f64 (sin.f64 y) (*.f64 1/16 (sin.f64 x))))))
(.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16)) (.f64 (+.f64 (sin.f64 y) (*.f64 -1/16 (sin.f64 x))) (-.f64 (cos.f64 x) (cos.f64 y)))))
(.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (.f64 (+.f64 (sin.f64 x) (.f64 -1/16 (sin.f64 y))) (+.f64 (sin.f64 y) (*.f64 -1/16 (sin.f64 x)))) (sqrt.f64 2)))
(.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (+.f64 (sin.f64 x) (.f64 -1/16 (sin.f64 y))) (+.f64 (sin.f64 y) (*.f64 -1/16 (sin.f64 x))))))
(.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))) (-.f64 (sin.f64 y) (*.f64 1/16 (sin.f64 x))))))
(.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16)) (.f64 (+.f64 (sin.f64 y) (*.f64 -1/16 (sin.f64 x))) (-.f64 (cos.f64 x) (cos.f64 y)))))
(.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (.f64 (+.f64 (sin.f64 x) (.f64 -1/16 (sin.f64 y))) (+.f64 (sin.f64 y) (*.f64 -1/16 (sin.f64 x)))) (sqrt.f64 2)))
(.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (+.f64 (sin.f64 x) (.f64 -1/16 (sin.f64 y))) (+.f64 (sin.f64 y) (*.f64 -1/16 (sin.f64 x))))))
(.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))) (-.f64 (sin.f64 y) (*.f64 1/16 (sin.f64 x))))))
(.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16)) (.f64 (+.f64 (sin.f64 y) (*.f64 -1/16 (sin.f64 x))) (-.f64 (cos.f64 x) (cos.f64 y)))))
(.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (.f64 (+.f64 (sin.f64 x) (.f64 -1/16 (sin.f64 y))) (+.f64 (sin.f64 y) (*.f64 -1/16 (sin.f64 x)))) (sqrt.f64 2)))
(.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (+.f64 (sin.f64 x) (.f64 -1/16 (sin.f64 y))) (+.f64 (sin.f64 y) (*.f64 -1/16 (sin.f64 x))))))
(.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))) (-.f64 (sin.f64 y) (*.f64 1/16 (sin.f64 x))))))
(.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16)) (.f64 (+.f64 (sin.f64 y) (*.f64 -1/16 (sin.f64 x))) (-.f64 (cos.f64 x) (cos.f64 y)))))
(.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (.f64 (+.f64 (sin.f64 x) (.f64 -1/16 (sin.f64 y))) (+.f64 (sin.f64 y) (*.f64 -1/16 (sin.f64 x)))) (sqrt.f64 2)))
(.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (+.f64 (sin.f64 x) (.f64 -1/16 (sin.f64 y))) (+.f64 (sin.f64 y) (*.f64 -1/16 (sin.f64 x))))))
(.f64 -1/16 (.f64 (sqrt.f64 2) (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))
(.f64 -1/16 (.f64 (sqrt.f64 2) (*.f64 (+.f64 (cos.f64 x) -1) (pow.f64 (sin.f64 x) 2))))
(.f64 (.f64 (sqrt.f64 2) (pow.f64 (sin.f64 x) 2)) (+.f64 (*.f64 (cos.f64 x) -1/16) 1/16))
(.f64 -1/16 (.f64 (+.f64 (cos.f64 x) -1) (*.f64 (sqrt.f64 2) (pow.f64 (sin.f64 x) 2))))
(+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1)))) (.f64 (sqrt.f64 2) (.f64 y (.f64 (-.f64 (cos.f64 x) 1) (+.f64 (*.f64 1/256 (sin.f64 x)) (sin.f64 x))))))
(fma.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (+.f64 (cos.f64 x) -1) (pow.f64 (sin.f64 x) 2))) (.f64 (sqrt.f64 2) (.f64 y (.f64 (+.f64 (cos.f64 x) -1) (.f64 257/256 (sin.f64 x))))))
(fma.f64 -1/16 (.f64 (+.f64 (cos.f64 x) -1) (.f64 (sqrt.f64 2) (pow.f64 (sin.f64 x) 2))) (.f64 (.f64 y (sqrt.f64 2)) (.f64 (+.f64 (cos.f64 x) -1) (.f64 (sin.f64 x) 257/256))))
(.f64 (+.f64 (cos.f64 x) -1) (+.f64 (.f64 (.f64 -1/16 (sqrt.f64 2)) (pow.f64 (sin.f64 x) 2)) (.f64 (.f64 (.f64 y (sqrt.f64 2)) 257/256) (sin.f64 x))))
(+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1)))) (+.f64 (.f64 (sqrt.f64 2) (.f64 y (.f64 (-.f64 (cos.f64 x) 1) (+.f64 (.f64 1/256 (sin.f64 x)) (sin.f64 x))))) (.f64 (sqrt.f64 2) (.f64 (pow.f64 y 2) (+.f64 (.f64 -1/32 (pow.f64 (sin.f64 x) 2)) (*.f64 -1/16 (-.f64 (cos.f64 x) 1)))))))
(fma.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (+.f64 (cos.f64 x) -1) (pow.f64 (sin.f64 x) 2))) (.f64 (sqrt.f64 2) (+.f64 (.f64 y (.f64 (+.f64 (cos.f64 x) -1) (.f64 257/256 (sin.f64 x)))) (.f64 (.f64 y y) (fma.f64 -1/32 (pow.f64 (sin.f64 x) 2) (*.f64 (+.f64 (cos.f64 x) -1) -1/16))))))
(fma.f64 -1/16 (.f64 (+.f64 (cos.f64 x) -1) (.f64 (sqrt.f64 2) (pow.f64 (sin.f64 x) 2))) (.f64 (sqrt.f64 2) (fma.f64 y (.f64 (+.f64 (cos.f64 x) -1) (.f64 (sin.f64 x) 257/256)) (.f64 y (.f64 y (fma.f64 (+.f64 (cos.f64 x) -1) -1/16 (.f64 (pow.f64 (sin.f64 x) 2) -1/32)))))))
(.f64 (sqrt.f64 2) (+.f64 (.f64 (.f64 -1/16 (pow.f64 (sin.f64 x) 2)) (+.f64 (cos.f64 x) -1)) (.f64 y (+.f64 (.f64 (+.f64 (cos.f64 x) -1) (.f64 (sin.f64 x) 257/256)) (.f64 (fma.f64 (+.f64 (cos.f64 x) -1) -1/16 (.f64 (pow.f64 (sin.f64 x) 2) -1/32)) y)))))
(+.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 y 3) (+.f64 (.f64 1/2 (+.f64 (.f64 1/256 (sin.f64 x)) (sin.f64 x))) (.f64 (+.f64 (.f64 -1/1536 (sin.f64 x)) (.f64 -1/6 (sin.f64 x))) (-.f64 (cos.f64 x) 1))))) (+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1)))) (+.f64 (.f64 (sqrt.f64 2) (.f64 y (.f64 (-.f64 (cos.f64 x) 1) (+.f64 (.f64 1/256 (sin.f64 x)) (sin.f64 x))))) (.f64 (sqrt.f64 2) (.f64 (pow.f64 y 2) (+.f64 (.f64 -1/32 (pow.f64 (sin.f64 x) 2)) (.f64 -1/16 (-.f64 (cos.f64 x) 1))))))))
(fma.f64 (sqrt.f64 2) (.f64 (pow.f64 y 3) (fma.f64 1/2 (.f64 257/256 (sin.f64 x)) (.f64 (+.f64 (cos.f64 x) -1) (.f64 (sin.f64 x) -257/1536)))) (fma.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (+.f64 (cos.f64 x) -1) (pow.f64 (sin.f64 x) 2))) (.f64 (sqrt.f64 2) (+.f64 (.f64 y (.f64 (+.f64 (cos.f64 x) -1) (.f64 257/256 (sin.f64 x)))) (.f64 (.f64 y y) (fma.f64 -1/32 (pow.f64 (sin.f64 x) 2) (*.f64 (+.f64 (cos.f64 x) -1) -1/16)))))))
(fma.f64 (sqrt.f64 2) (.f64 (pow.f64 y 3) (fma.f64 (+.f64 (cos.f64 x) -1) (.f64 (sin.f64 x) -257/1536) (.f64 257/512 (sin.f64 x)))) (fma.f64 -1/16 (.f64 (+.f64 (cos.f64 x) -1) (.f64 (sqrt.f64 2) (pow.f64 (sin.f64 x) 2))) (.f64 (sqrt.f64 2) (fma.f64 y (.f64 (+.f64 (cos.f64 x) -1) (.f64 (sin.f64 x) 257/256)) (.f64 y (.f64 y (fma.f64 (+.f64 (cos.f64 x) -1) -1/16 (*.f64 (pow.f64 (sin.f64 x) 2) -1/32))))))))
(fma.f64 (sqrt.f64 2) (.f64 (pow.f64 y 3) (fma.f64 (+.f64 (cos.f64 x) -1) (.f64 (sin.f64 x) -257/1536) (.f64 (sin.f64 x) 257/512))) (.f64 (sqrt.f64 2) (+.f64 (.f64 (.f64 -1/16 (pow.f64 (sin.f64 x) 2)) (+.f64 (cos.f64 x) -1)) (.f64 y (+.f64 (.f64 (+.f64 (cos.f64 x) -1) (.f64 (sin.f64 x) 257/256)) (.f64 (fma.f64 (+.f64 (cos.f64 x) -1) -1/16 (*.f64 (pow.f64 (sin.f64 x) 2) -1/32)) y))))))
(.f64 (sqrt.f64 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 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16)) (.f64 (+.f64 (sin.f64 y) (*.f64 -1/16 (sin.f64 x))) (-.f64 (cos.f64 x) (cos.f64 y)))))
(.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (.f64 (+.f64 (sin.f64 x) (.f64 -1/16 (sin.f64 y))) (+.f64 (sin.f64 y) (*.f64 -1/16 (sin.f64 x)))) (sqrt.f64 2)))
(.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (+.f64 (sin.f64 x) (.f64 -1/16 (sin.f64 y))) (+.f64 (sin.f64 y) (*.f64 -1/16 (sin.f64 x))))))
(.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))) (.f64 (-.f64 (sin.f64 y) (*.f64 1/16 (sin.f64 x))) (-.f64 (cos.f64 x) (cos.f64 y)))))
(.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16)) (.f64 (+.f64 (sin.f64 y) (*.f64 -1/16 (sin.f64 x))) (-.f64 (cos.f64 x) (cos.f64 y)))))
(.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (.f64 (+.f64 (sin.f64 x) (.f64 -1/16 (sin.f64 y))) (+.f64 (sin.f64 y) (*.f64 -1/16 (sin.f64 x)))) (sqrt.f64 2)))
(.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (+.f64 (sin.f64 x) (.f64 -1/16 (sin.f64 y))) (+.f64 (sin.f64 y) (*.f64 -1/16 (sin.f64 x))))))
(.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))) (.f64 (-.f64 (sin.f64 y) (*.f64 1/16 (sin.f64 x))) (-.f64 (cos.f64 x) (cos.f64 y)))))
(.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16)) (.f64 (+.f64 (sin.f64 y) (*.f64 -1/16 (sin.f64 x))) (-.f64 (cos.f64 x) (cos.f64 y)))))
(.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (.f64 (+.f64 (sin.f64 x) (.f64 -1/16 (sin.f64 y))) (+.f64 (sin.f64 y) (*.f64 -1/16 (sin.f64 x)))) (sqrt.f64 2)))
(.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (+.f64 (sin.f64 x) (.f64 -1/16 (sin.f64 y))) (+.f64 (sin.f64 y) (*.f64 -1/16 (sin.f64 x))))))
(.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))) (.f64 (-.f64 (sin.f64 y) (*.f64 1/16 (sin.f64 x))) (-.f64 (cos.f64 x) (cos.f64 y)))))
(.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16)) (.f64 (+.f64 (sin.f64 y) (*.f64 -1/16 (sin.f64 x))) (-.f64 (cos.f64 x) (cos.f64 y)))))
(.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (.f64 (+.f64 (sin.f64 x) (.f64 -1/16 (sin.f64 y))) (+.f64 (sin.f64 y) (*.f64 -1/16 (sin.f64 x)))) (sqrt.f64 2)))
(.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (+.f64 (sin.f64 x) (.f64 -1/16 (sin.f64 y))) (+.f64 (sin.f64 y) (*.f64 -1/16 (sin.f64 x))))))
(.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))) (-.f64 (sin.f64 y) (*.f64 1/16 (sin.f64 x))))))
(.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16)) (.f64 (+.f64 (sin.f64 y) (*.f64 -1/16 (sin.f64 x))) (-.f64 (cos.f64 x) (cos.f64 y)))))
(.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (.f64 (+.f64 (sin.f64 x) (.f64 -1/16 (sin.f64 y))) (+.f64 (sin.f64 y) (*.f64 -1/16 (sin.f64 x)))) (sqrt.f64 2)))
(.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (+.f64 (sin.f64 x) (.f64 -1/16 (sin.f64 y))) (+.f64 (sin.f64 y) (*.f64 -1/16 (sin.f64 x))))))
(.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))) (-.f64 (sin.f64 y) (*.f64 1/16 (sin.f64 x))))))
(.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16)) (.f64 (+.f64 (sin.f64 y) (*.f64 -1/16 (sin.f64 x))) (-.f64 (cos.f64 x) (cos.f64 y)))))
(.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (.f64 (+.f64 (sin.f64 x) (.f64 -1/16 (sin.f64 y))) (+.f64 (sin.f64 y) (*.f64 -1/16 (sin.f64 x)))) (sqrt.f64 2)))
(.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (+.f64 (sin.f64 x) (.f64 -1/16 (sin.f64 y))) (+.f64 (sin.f64 y) (*.f64 -1/16 (sin.f64 x))))))
(.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))) (-.f64 (sin.f64 y) (*.f64 1/16 (sin.f64 x))))))
(.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16)) (.f64 (+.f64 (sin.f64 y) (*.f64 -1/16 (sin.f64 x))) (-.f64 (cos.f64 x) (cos.f64 y)))))
(.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (.f64 (+.f64 (sin.f64 x) (.f64 -1/16 (sin.f64 y))) (+.f64 (sin.f64 y) (*.f64 -1/16 (sin.f64 x)))) (sqrt.f64 2)))
(.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (+.f64 (sin.f64 x) (.f64 -1/16 (sin.f64 y))) (+.f64 (sin.f64 y) (*.f64 -1/16 (sin.f64 x))))))
(.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))) (-.f64 (sin.f64 y) (*.f64 1/16 (sin.f64 x))))))
(.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16)) (.f64 (+.f64 (sin.f64 y) (*.f64 -1/16 (sin.f64 x))) (-.f64 (cos.f64 x) (cos.f64 y)))))
(.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (.f64 (+.f64 (sin.f64 x) (.f64 -1/16 (sin.f64 y))) (+.f64 (sin.f64 y) (*.f64 -1/16 (sin.f64 x)))) (sqrt.f64 2)))
(.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (+.f64 (sin.f64 x) (.f64 -1/16 (sin.f64 y))) (+.f64 (sin.f64 y) (*.f64 -1/16 (sin.f64 x))))))

prune412.0ms (2.7%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	96	9	105
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	97	10	107

Error

0.2b

Counts

107 → 10

Alt Table

Status	Error	Program
	0.4b	(/.f64 (+.f64 2 (.f64 (.f64 (log.f64 (+.f64 1 (expm1.f64 (.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16)))))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (*.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
	0.4b	(/.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 (fma.f64 (.f64 (cbrt.f64 (cos.f64 x)) (cbrt.f64 (cos.f64 x))) (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))))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (*.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
▶	0.4b	(/.f64 (+.f64 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))) (cbrt.f64 (.f64 (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (-.f64 (cos.f64 x) (cos.f64 y))) (-.f64 (cos.f64 x) (cos.f64 y)))))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
	0.4b	(/.f64 (+.f64 2 (log.f64 (exp.f64 (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16)) (-.f64 (sin.f64 y) (.f64 (sin.f64 x) 1/16)))))))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
	0.9b	(/.f64 (+.f64 2 (-.f64 (exp.f64 (log1p.f64 (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16)) (-.f64 (sin.f64 y) (.f64 (sin.f64 x) 1/16))))))) 1)) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
	6.3b	(/.f64 (+.f64 2 (.f64 (.f64 (-.f64 (exp.f64 (log1p.f64 (.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16))))) 1) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (*.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
	0.4b	(/.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)))))
	0.5b	(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (.f64 (.f64 (cbrt.f64 (-.f64 3 (sqrt.f64 5))) (cbrt.f64 (-.f64 3 (sqrt.f64 5)))) (cbrt.f64 (-.f64 3 (sqrt.f64 5)))) 2) (cos.f64 y)))))
	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 (*.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))) (log1p.f64 (expm1.f64 (-.f64 (cos.f64 x) (cos.f64 y)))))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))

Compiler

Compiled 7353 to 5090 computations (30.8% saved)

localize33.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.4b	(*.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)))
✓	0.5b	(cbrt.f64 (.f64 (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (-.f64 (cos.f64 x) (cos.f64 y))) (-.f64 (cos.f64 x) (cos.f64 y))))
	1.0b	(-.f64 3 (sqrt.f64 5))
	2.3b	(-.f64 (cos.f64 x) (cos.f64 y))

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(cbrt.f64 (.f64 (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (-.f64 (cos.f64 x) (cos.f64 y))) (-.f64 (cos.f64 x) (cos.f64 y))))
0.0ms	y	@	inf	(cbrt.f64 (.f64 (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (-.f64 (cos.f64 x) (cos.f64 y))) (-.f64 (cos.f64 x) (cos.f64 y))))
0.0ms	x	@	inf	(cbrt.f64 (.f64 (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (-.f64 (cos.f64 x) (cos.f64 y))) (-.f64 (cos.f64 x) (cos.f64 y))))
0.0ms	y	@	0	(cbrt.f64 (.f64 (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (-.f64 (cos.f64 x) (cos.f64 y))) (-.f64 (cos.f64 x) (cos.f64 y))))
0.0ms	x	@	-inf	(cbrt.f64 (.f64 (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (-.f64 (cos.f64 x) (cos.f64 y))) (-.f64 (cos.f64 x) (cos.f64 y))))

rewrite43.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

921×	`log1p-expm1-u_binary64`
921×	`expm1-log1p-u_binary64`
96×	`add-sqr-sqrt_binary64`
93×	`pow1_binary64`
92×	`*-un-lft-identity_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	8
1	191	8
2	2481	8

Stop Event

1×	node limit

Counts

1 → 49

Calls

Call 1

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

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

Outputs

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

simplify33.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

915×	`fma-def_binary64`
655×	`fma-neg_binary64`
570×	`unswap-sqr_binary64`
356×	`associate-l_binary64`
264×	`associate-r_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	48	272
1	121	268
2	293	264
3	1004	260
4	3475	260

Stop Event

1×	node limit

Counts

73 → 64

Calls

Call 1

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

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

prune1.2s (7.8%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	217	4	221
Fresh	2	7	9
Picked	1	0	1
Done	0	0	0
Total	220	11	231

Error

0.2b

Counts

231 → 11

Alt Table

Status	Error	Program
	6.3b	(/.f64 (+.f64 2 (.f64 (.f64 (-.f64 (exp.f64 (log1p.f64 (.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16))))) 1) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (cbrt.f64 (.f64 (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (-.f64 (cos.f64 x) (cos.f64 y))) (-.f64 (cos.f64 x) (cos.f64 y)))))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (*.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
	0.9b	(/.f64 (+.f64 2 (-.f64 (exp.f64 (log1p.f64 (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16)) (-.f64 (sin.f64 y) (.f64 (sin.f64 x) 1/16))))))) 1)) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
	0.4b	(/.f64 (+.f64 2 (.f64 (.f64 (log.f64 (+.f64 1 (expm1.f64 (.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16)))))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (*.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
	0.4b	(/.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 (fma.f64 (.f64 (cbrt.f64 (cos.f64 x)) (cbrt.f64 (cos.f64 x))) (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))))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (*.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
	0.4b	(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (+.f64 (cos.f64 x) (cos.f64 y))) (/.f64 (pow.f64 (cos.f64 y) 2) (+.f64 (cos.f64 x) (cos.f64 y)))))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
	0.5b	(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (.f64 (.f64 (cbrt.f64 (-.f64 3 (sqrt.f64 5))) (cbrt.f64 (-.f64 3 (sqrt.f64 5)))) (cbrt.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))) (cbrt.f64 (.f64 (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (-.f64 (cos.f64 x) (cos.f64 y))) (-.f64 (cos.f64 x) (cos.f64 y)))))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (/.f64 4 (+.f64 3 (sqrt.f64 5))) 2) (cos.f64 y)))))
	0.4b	(/.f64 (+.f64 2 (log.f64 (exp.f64 (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16)) (-.f64 (sin.f64 y) (.f64 (sin.f64 x) 1/16)))))))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
	0.4b	(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (pow.f64 (cbrt.f64 (-.f64 (cos.f64 x) (cos.f64 y))) 3))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
	0.5b	(/.f64 (fma.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 y) (/.f64 (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))) (log1p.f64 (expm1.f64 (-.f64 (cos.f64 x) (cos.f64 y)))))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))

Compiler

Compiled 16388 to 9758 computations (40.5% saved)

localize40.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(*.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (-.f64 (cos.f64 x) (cos.f64 y)))
	0.4b	(*.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)))
	0.5b	(cbrt.f64 (.f64 (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (-.f64 (cos.f64 x) (cos.f64 y))) (-.f64 (cos.f64 x) (cos.f64 y))))
	2.3b	(-.f64 (cos.f64 x) (cos.f64 y))

series4.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite46.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

845×	`log1p-expm1-u_binary64`
845×	`expm1-log1p-u_binary64`
88×	`add-sqr-sqrt_binary64`
85×	`*-un-lft-identity_binary64`
85×	`pow1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	157	11
2	2235	11

Stop Event

1×	node limit

Counts

1 → 24

Calls

Call 1

Inputs
(*.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (-.f64 (cos.f64 x) (cos.f64 y)))

Outputs

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

simplify33.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

302×	`*-commutative_binary64`
279×	`distribute-rgt-in_binary64`
271×	`+-commutative_binary64`
271×	`distribute-lft-in_binary64`
215×	`fma-def_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	52	438
1	136	425
2	416	398
3	1960	398

Stop Event

1×	node limit

Counts

48 → 39

Calls

Call 1

Inputs
(pow.f64 (-.f64 1 (cos.f64 y)) 2)
(+.f64 (pow.f64 (-.f64 1 (cos.f64 y)) 2) (.f64 -1 (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 x 2))))
(+.f64 (pow.f64 (-.f64 1 (cos.f64 y)) 2) (+.f64 (.f64 -1 (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 x 2))) (.f64 (+.f64 1/4 (.f64 1/12 (-.f64 1 (cos.f64 y)))) (pow.f64 x 4))))
(+.f64 (pow.f64 (-.f64 1 (cos.f64 y)) 2) (+.f64 (.f64 (-.f64 (.f64 -1/360 (-.f64 1 (cos.f64 y))) 1/24) (pow.f64 x 6)) (+.f64 (.f64 -1 (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 x 2))) (.f64 (+.f64 1/4 (.f64 1/12 (-.f64 1 (cos.f64 y)))) (pow.f64 x 4)))))
(pow.f64 (-.f64 (cos.f64 x) (cos.f64 y)) 2)
(pow.f64 (-.f64 (cos.f64 x) (cos.f64 y)) 2)
(pow.f64 (-.f64 (cos.f64 x) (cos.f64 y)) 2)
(pow.f64 (-.f64 (cos.f64 x) (cos.f64 y)) 2)
(pow.f64 (-.f64 (cos.f64 x) (cos.f64 y)) 2)
(pow.f64 (-.f64 (cos.f64 x) (cos.f64 y)) 2)
(pow.f64 (-.f64 (cos.f64 x) (cos.f64 y)) 2)
(pow.f64 (-.f64 (cos.f64 x) (cos.f64 y)) 2)
(pow.f64 (-.f64 (cos.f64 x) 1) 2)
(+.f64 (*.f64 (pow.f64 y 2) (-.f64 (cos.f64 x) 1)) (pow.f64 (-.f64 (cos.f64 x) 1) 2))
(+.f64 (.f64 (pow.f64 y 2) (-.f64 (cos.f64 x) 1)) (+.f64 (.f64 (pow.f64 y 4) (+.f64 1/4 (*.f64 -1/12 (-.f64 (cos.f64 x) 1)))) (pow.f64 (-.f64 (cos.f64 x) 1) 2)))
(+.f64 (.f64 (-.f64 (.f64 1/360 (-.f64 (cos.f64 x) 1)) 1/24) (pow.f64 y 6)) (+.f64 (.f64 (pow.f64 y 2) (-.f64 (cos.f64 x) 1)) (+.f64 (.f64 (pow.f64 y 4) (+.f64 1/4 (*.f64 -1/12 (-.f64 (cos.f64 x) 1)))) (pow.f64 (-.f64 (cos.f64 x) 1) 2))))
(pow.f64 (-.f64 (cos.f64 x) (cos.f64 y)) 2)
(pow.f64 (-.f64 (cos.f64 x) (cos.f64 y)) 2)
(pow.f64 (-.f64 (cos.f64 x) (cos.f64 y)) 2)
(pow.f64 (-.f64 (cos.f64 x) (cos.f64 y)) 2)
(pow.f64 (-.f64 (cos.f64 x) (cos.f64 y)) 2)
(pow.f64 (-.f64 (cos.f64 x) (cos.f64 y)) 2)
(pow.f64 (-.f64 (cos.f64 x) (cos.f64 y)) 2)
(pow.f64 (-.f64 (cos.f64 x) (cos.f64 y)) 2)

Outputs
(pow.f64 (-.f64 1 (cos.f64 y)) 2)
(+.f64 (pow.f64 (-.f64 1 (cos.f64 y)) 2) (.f64 -1 (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 x 2))))
(+.f64 (pow.f64 (-.f64 1 (cos.f64 y)) 2) (neg.f64 (.f64 (-.f64 1 (cos.f64 y)) (.f64 x x))))
(-.f64 (pow.f64 (-.f64 1 (cos.f64 y)) 2) (.f64 (-.f64 1 (cos.f64 y)) (.f64 x x)))
(.f64 (-.f64 1 (cos.f64 y)) (-.f64 (-.f64 1 (cos.f64 y)) (.f64 x x)))
(.f64 (-.f64 1 (cos.f64 y)) (-.f64 1 (+.f64 (cos.f64 y) (.f64 x x))))
(+.f64 (pow.f64 (-.f64 1 (cos.f64 y)) 2) (+.f64 (.f64 -1 (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 x 2))) (.f64 (+.f64 1/4 (.f64 1/12 (-.f64 1 (cos.f64 y)))) (pow.f64 x 4))))
(+.f64 (pow.f64 (-.f64 1 (cos.f64 y)) 2) (fma.f64 -1 (.f64 (-.f64 1 (cos.f64 y)) (.f64 x x)) (.f64 (+.f64 1/4 (.f64 (-.f64 1 (cos.f64 y)) 1/12)) (pow.f64 x 4))))
(+.f64 (pow.f64 (-.f64 1 (cos.f64 y)) 2) (fma.f64 (fma.f64 (-.f64 1 (cos.f64 y)) 1/12 1/4) (pow.f64 x 4) (.f64 (-.f64 1 (cos.f64 y)) (neg.f64 (.f64 x x)))))
(fma.f64 (+.f64 1/3 (.f64 -1/12 (cos.f64 y))) (pow.f64 x 4) (.f64 (-.f64 1 (cos.f64 y)) (-.f64 (-.f64 1 (cos.f64 y)) (*.f64 x x))))
(fma.f64 (+.f64 (.f64 (cos.f64 y) -1/12) 1/3) (pow.f64 x 4) (.f64 (-.f64 1 (cos.f64 y)) (-.f64 1 (+.f64 (cos.f64 y) (*.f64 x x)))))
(+.f64 (pow.f64 (-.f64 1 (cos.f64 y)) 2) (+.f64 (.f64 (-.f64 (.f64 -1/360 (-.f64 1 (cos.f64 y))) 1/24) (pow.f64 x 6)) (+.f64 (.f64 -1 (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 x 2))) (.f64 (+.f64 1/4 (.f64 1/12 (-.f64 1 (cos.f64 y)))) (pow.f64 x 4)))))
(+.f64 (pow.f64 (-.f64 1 (cos.f64 y)) 2) (fma.f64 (fma.f64 -1/360 (-.f64 1 (cos.f64 y)) -1/24) (pow.f64 x 6) (fma.f64 -1 (.f64 (-.f64 1 (cos.f64 y)) (.f64 x x)) (.f64 (+.f64 1/4 (.f64 (-.f64 1 (cos.f64 y)) 1/12)) (pow.f64 x 4)))))
(+.f64 (pow.f64 (-.f64 1 (cos.f64 y)) 2) (fma.f64 (fma.f64 (-.f64 1 (cos.f64 y)) -1/360 -1/24) (pow.f64 x 6) (fma.f64 (fma.f64 (-.f64 1 (cos.f64 y)) 1/12 1/4) (pow.f64 x 4) (.f64 (-.f64 1 (cos.f64 y)) (neg.f64 (.f64 x x))))))
(fma.f64 (+.f64 -2/45 (.f64 1/360 (cos.f64 y))) (pow.f64 x 6) (fma.f64 (+.f64 1/3 (.f64 -1/12 (cos.f64 y))) (pow.f64 x 4) (.f64 (-.f64 1 (cos.f64 y)) (-.f64 (-.f64 1 (cos.f64 y)) (.f64 x x)))))
(fma.f64 (+.f64 (.f64 (cos.f64 y) 1/360) -2/45) (pow.f64 x 6) (fma.f64 (+.f64 (.f64 (cos.f64 y) -1/12) 1/3) (pow.f64 x 4) (.f64 (-.f64 1 (cos.f64 y)) (-.f64 1 (+.f64 (cos.f64 y) (.f64 x x))))))
(pow.f64 (-.f64 (cos.f64 x) (cos.f64 y)) 2)
(pow.f64 (-.f64 (cos.f64 x) (cos.f64 y)) 2)
(pow.f64 (-.f64 (cos.f64 x) (cos.f64 y)) 2)
(pow.f64 (-.f64 (cos.f64 x) (cos.f64 y)) 2)
(pow.f64 (-.f64 (cos.f64 x) (cos.f64 y)) 2)
(pow.f64 (-.f64 (cos.f64 x) (cos.f64 y)) 2)
(pow.f64 (-.f64 (cos.f64 x) (cos.f64 y)) 2)
(pow.f64 (-.f64 (cos.f64 x) (cos.f64 y)) 2)
(pow.f64 (-.f64 (cos.f64 x) 1) 2)
(pow.f64 (+.f64 (cos.f64 x) -1) 2)
(pow.f64 (+.f64 -1 (cos.f64 x)) 2)
(+.f64 (*.f64 (pow.f64 y 2) (-.f64 (cos.f64 x) 1)) (pow.f64 (-.f64 (cos.f64 x) 1) 2))
(fma.f64 (*.f64 y y) (+.f64 (cos.f64 x) -1) (pow.f64 (+.f64 (cos.f64 x) -1) 2))
(.f64 (+.f64 -1 (cos.f64 x)) (+.f64 (+.f64 -1 (cos.f64 x)) (.f64 y y)))
(*.f64 (+.f64 -1 (cos.f64 x)) (fma.f64 y y (+.f64 -1 (cos.f64 x))))
(+.f64 (.f64 (pow.f64 y 2) (-.f64 (cos.f64 x) 1)) (+.f64 (.f64 (pow.f64 y 4) (+.f64 1/4 (*.f64 -1/12 (-.f64 (cos.f64 x) 1)))) (pow.f64 (-.f64 (cos.f64 x) 1) 2)))
(fma.f64 (.f64 y y) (+.f64 (cos.f64 x) -1) (fma.f64 (pow.f64 y 4) (+.f64 1/4 (.f64 (+.f64 (cos.f64 x) -1) -1/12)) (pow.f64 (+.f64 (cos.f64 x) -1) 2)))
(fma.f64 (+.f64 -1 (cos.f64 x)) (*.f64 y y) (fma.f64 (pow.f64 y 4) (fma.f64 (+.f64 -1 (cos.f64 x)) -1/12 1/4) (pow.f64 (+.f64 -1 (cos.f64 x)) 2)))
(fma.f64 (+.f64 -1 (cos.f64 x)) (fma.f64 y y (+.f64 -1 (cos.f64 x))) (.f64 (pow.f64 y 4) (+.f64 (.f64 (cos.f64 x) -1/12) 1/3)))
(+.f64 (.f64 (-.f64 (.f64 1/360 (-.f64 (cos.f64 x) 1)) 1/24) (pow.f64 y 6)) (+.f64 (.f64 (pow.f64 y 2) (-.f64 (cos.f64 x) 1)) (+.f64 (.f64 (pow.f64 y 4) (+.f64 1/4 (*.f64 -1/12 (-.f64 (cos.f64 x) 1)))) (pow.f64 (-.f64 (cos.f64 x) 1) 2))))
(fma.f64 (fma.f64 1/360 (+.f64 (cos.f64 x) -1) -1/24) (pow.f64 y 6) (fma.f64 (.f64 y y) (+.f64 (cos.f64 x) -1) (fma.f64 (pow.f64 y 4) (+.f64 1/4 (.f64 (+.f64 (cos.f64 x) -1) -1/12)) (pow.f64 (+.f64 (cos.f64 x) -1) 2))))
(fma.f64 (fma.f64 (+.f64 -1 (cos.f64 x)) 1/360 -1/24) (pow.f64 y 6) (fma.f64 (+.f64 -1 (cos.f64 x)) (*.f64 y y) (fma.f64 (pow.f64 y 4) (fma.f64 (+.f64 -1 (cos.f64 x)) -1/12 1/4) (pow.f64 (+.f64 -1 (cos.f64 x)) 2))))
(fma.f64 (+.f64 (.f64 (cos.f64 x) 1/360) -2/45) (pow.f64 y 6) (fma.f64 (+.f64 -1 (cos.f64 x)) (fma.f64 y y (+.f64 -1 (cos.f64 x))) (.f64 (pow.f64 y 4) (+.f64 (*.f64 (cos.f64 x) -1/12) 1/3))))
(pow.f64 (-.f64 (cos.f64 x) (cos.f64 y)) 2)
(pow.f64 (-.f64 (cos.f64 x) (cos.f64 y)) 2)
(pow.f64 (-.f64 (cos.f64 x) (cos.f64 y)) 2)
(pow.f64 (-.f64 (cos.f64 x) (cos.f64 y)) 2)
(pow.f64 (-.f64 (cos.f64 x) (cos.f64 y)) 2)
(pow.f64 (-.f64 (cos.f64 x) (cos.f64 y)) 2)
(pow.f64 (-.f64 (cos.f64 x) (cos.f64 y)) 2)
(pow.f64 (-.f64 (cos.f64 x) (cos.f64 y)) 2)

prune1.2s (8.1%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	246	1	247
Fresh	0	10	10
Picked	1	0	1
Done	0	0	0
Total	247	11	258

Error

0.2b

Counts

258 → 11

Alt Table

Status	Error	Program
	6.3b	(/.f64 (+.f64 2 (.f64 (.f64 (-.f64 (exp.f64 (log1p.f64 (.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16))))) 1) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (cbrt.f64 (.f64 (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (-.f64 (cos.f64 x) (cos.f64 y))) (-.f64 (cos.f64 x) (cos.f64 y)))))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (*.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
	0.9b	(/.f64 (+.f64 2 (-.f64 (exp.f64 (log1p.f64 (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16)) (-.f64 (sin.f64 y) (.f64 (sin.f64 x) 1/16))))))) 1)) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
	0.4b	(/.f64 (+.f64 2 (.f64 (.f64 (log.f64 (+.f64 1 (expm1.f64 (.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16)))))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (*.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
	0.4b	(/.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 (fma.f64 (.f64 (cbrt.f64 (cos.f64 x)) (cbrt.f64 (cos.f64 x))) (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))))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (*.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
	0.4b	(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (+.f64 (cos.f64 x) (cos.f64 y))) (/.f64 (pow.f64 (cos.f64 y) 2) (+.f64 (cos.f64 x) (cos.f64 y)))))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
	0.5b	(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (.f64 (.f64 (cbrt.f64 (-.f64 3 (sqrt.f64 5))) (cbrt.f64 (-.f64 3 (sqrt.f64 5)))) (cbrt.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))) (cbrt.f64 (.f64 (pow.f64 (cbrt.f64 (pow.f64 (-.f64 (cos.f64 x) (cos.f64 y)) 2)) 3) (-.f64 (cos.f64 x) (cos.f64 y)))))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (*.f64 (/.f64 (/.f64 4 (+.f64 3 (sqrt.f64 5))) 2) (cos.f64 y)))))
	0.5b	(/.f64 (fma.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 y) (/.f64 (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 (log.f64 (exp.f64 (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16)) (-.f64 (sin.f64 y) (.f64 (sin.f64 x) 1/16)))))))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
	0.4b	(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (pow.f64 (cbrt.f64 (-.f64 (cos.f64 x) (cos.f64 y))) 3))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
	0.4b	(/.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))) (log1p.f64 (expm1.f64 (-.f64 (cos.f64 x) (cos.f64 y)))))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))

Compiler

Compiled 18780 to 11513 computations (38.7% saved)

localize38.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(cbrt.f64 (pow.f64 (-.f64 (cos.f64 x) (cos.f64 y)) 2))
✓	0.5b	(cbrt.f64 (*.f64 (pow.f64 (cbrt.f64 (pow.f64 (-.f64 (cos.f64 x) (cos.f64 y)) 2)) 3) (-.f64 (cos.f64 x) (cos.f64 y))))
✓	0.6b	(pow.f64 (cbrt.f64 (pow.f64 (-.f64 (cos.f64 x) (cos.f64 y)) 2)) 3)
	2.3b	(-.f64 (cos.f64 x) (cos.f64 y))

series24.0ms (0.2%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
5.0ms	x	@	inf	(pow.f64 (cbrt.f64 (pow.f64 (-.f64 (cos.f64 x) (cos.f64 y)) 2)) 3)
4.0ms	x	@	0	(pow.f64 (cbrt.f64 (pow.f64 (-.f64 (cos.f64 x) (cos.f64 y)) 2)) 3)
3.0ms	y	@	0	(pow.f64 (cbrt.f64 (pow.f64 (-.f64 (cos.f64 x) (cos.f64 y)) 2)) 3)
2.0ms	y	@	-inf	(pow.f64 (cbrt.f64 (pow.f64 (-.f64 (cos.f64 x) (cos.f64 y)) 2)) 3)
2.0ms	x	@	-inf	(pow.f64 (cbrt.f64 (pow.f64 (-.f64 (cos.f64 x) (cos.f64 y)) 2)) 3)

rewrite70.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

582×	`prod-diff_binary64`
312×	`fma-def_binary64`
200×	`expm1-udef_binary64`
200×	`log1p-udef_binary64`
139×	`fma-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	32
1	287	32
2	3084	32

Stop Event

1×	node limit

Counts

3 → 187

Calls

Call 1

Inputs

(pow.f64 (cbrt.f64 (pow.f64 (-.f64 (cos.f64 x) (cos.f64 y)) 2)) 3)

(cbrt.f64 (*.f64 (pow.f64 (cbrt.f64 (pow.f64 (-.f64 (cos.f64 x) (cos.f64 y)) 2)) 3) (-.f64 (cos.f64 x) (cos.f64 y))))

(cbrt.f64 (pow.f64 (-.f64 (cos.f64 x) (cos.f64 y)) 2))

Outputs

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

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

simplify57.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

647×	`distribute-rgt-in_binary64`
641×	`distribute-lft-in_binary64`
196×	`fma-def_binary64`
148×	`associate-r_binary64`
125×	`associate-l_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	194	2121
1	590	2022
2	2161	1918

Stop Event

1×	node limit

Counts

259 → 235

Calls

Call 1

Inputs
(pow.f64 (-.f64 1 (cos.f64 y)) 2)
(+.f64 (pow.f64 (-.f64 1 (cos.f64 y)) 2) (.f64 (+.f64 (.f64 -1/3 (-.f64 1 (cos.f64 y))) (*.f64 -2/3 (-.f64 1 (cos.f64 y)))) (pow.f64 x 2)))
(+.f64 (pow.f64 (-.f64 1 (cos.f64 y)) 2) (+.f64 (.f64 (+.f64 (.f64 -1/3 (-.f64 1 (cos.f64 y))) (.f64 -2/3 (-.f64 1 (cos.f64 y)))) (pow.f64 x 2)) (.f64 (+.f64 2/9 (+.f64 (.f64 1/3 (-.f64 (.f64 1/12 (-.f64 1 (cos.f64 y))) 1/12)) (.f64 (pow.f64 (pow.f64 (-.f64 1 (cos.f64 y)) 2) 1/3) (+.f64 (.f64 2/3 (.f64 (-.f64 (.f64 1/12 (-.f64 1 (cos.f64 y))) 1/12) (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 (cos.f64 y)) 2)) 1/3))) (*.f64 1/9 (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 (cos.f64 y)) 2)) 1/3)))))) (pow.f64 x 4))))
(+.f64 (pow.f64 (-.f64 1 (cos.f64 y)) 2) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 (cos.f64 y)) 2)) 1/3) (-.f64 (+.f64 (.f64 -1/360 (-.f64 1 (cos.f64 y))) (.f64 1/27 (/.f64 1 (-.f64 1 (cos.f64 y))))) (+.f64 1/24 (.f64 -2/3 (/.f64 (-.f64 (.f64 1/12 (-.f64 1 (cos.f64 y))) 1/12) (-.f64 1 (cos.f64 y)))))))) (.f64 -2/9 (.f64 (-.f64 (.f64 1/12 (-.f64 1 (cos.f64 y))) 1/12) (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 (cos.f64 y)) 5)) 1/3)))) (pow.f64 (pow.f64 (-.f64 1 (cos.f64 y)) 2) 1/3)) (+.f64 (.f64 1/3 (-.f64 (+.f64 (.f64 -1/360 (-.f64 1 (cos.f64 y))) (.f64 1/27 (/.f64 1 (-.f64 1 (cos.f64 y))))) (+.f64 1/24 (.f64 -2/3 (/.f64 (-.f64 (.f64 1/12 (-.f64 1 (cos.f64 y))) 1/12) (-.f64 1 (cos.f64 y))))))) (+.f64 (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (-.f64 1 (cos.f64 y))) 1/3) (+.f64 (.f64 2/3 (.f64 (-.f64 (.f64 1/12 (-.f64 1 (cos.f64 y))) 1/12) (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 (cos.f64 y)) 2)) 1/3))) (.f64 1/9 (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 (cos.f64 y)) 2)) 1/3))))) (.f64 -2/9 (/.f64 (-.f64 (.f64 1/12 (-.f64 1 (cos.f64 y))) 1/12) (-.f64 1 (cos.f64 y))))))) (pow.f64 x 6)) (+.f64 (.f64 (+.f64 (.f64 -1/3 (-.f64 1 (cos.f64 y))) (.f64 -2/3 (-.f64 1 (cos.f64 y)))) (pow.f64 x 2)) (.f64 (+.f64 2/9 (+.f64 (.f64 1/3 (-.f64 (.f64 1/12 (-.f64 1 (cos.f64 y))) 1/12)) (.f64 (pow.f64 (pow.f64 (-.f64 1 (cos.f64 y)) 2) 1/3) (+.f64 (.f64 2/3 (.f64 (-.f64 (.f64 1/12 (-.f64 1 (cos.f64 y))) 1/12) (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 (cos.f64 y)) 2)) 1/3))) (*.f64 1/9 (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 (cos.f64 y)) 2)) 1/3)))))) (pow.f64 x 4)))))
(pow.f64 (-.f64 (cos.f64 x) (cos.f64 y)) 2)
(pow.f64 (-.f64 (cos.f64 x) (cos.f64 y)) 2)
(pow.f64 (-.f64 (cos.f64 x) (cos.f64 y)) 2)
(pow.f64 (-.f64 (cos.f64 x) (cos.f64 y)) 2)
(pow.f64 (-.f64 (cos.f64 x) (cos.f64 y)) 2)
(pow.f64 (-.f64 (cos.f64 x) (cos.f64 y)) 2)
(pow.f64 (-.f64 (cos.f64 x) (cos.f64 y)) 2)
(pow.f64 (-.f64 (cos.f64 x) (cos.f64 y)) 2)
(pow.f64 (-.f64 (cos.f64 x) 1) 2)
(+.f64 (.f64 (pow.f64 y 2) (+.f64 (.f64 1/3 (-.f64 (cos.f64 x) 1)) (*.f64 2/3 (-.f64 (cos.f64 x) 1)))) (pow.f64 (-.f64 (cos.f64 x) 1) 2))
(+.f64 (.f64 (pow.f64 y 4) (+.f64 2/9 (+.f64 (.f64 (pow.f64 (pow.f64 (-.f64 (cos.f64 x) 1) 2) 1/3) (+.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 (cos.f64 x) 1) 2)) 1/3) (-.f64 (.f64 -1/12 (-.f64 (cos.f64 x) 1)) 1/12))) (.f64 1/9 (pow.f64 (/.f64 1 (pow.f64 (-.f64 (cos.f64 x) 1) 2)) 1/3)))) (.f64 1/3 (-.f64 (.f64 -1/12 (-.f64 (cos.f64 x) 1)) 1/12))))) (+.f64 (.f64 (pow.f64 y 2) (+.f64 (.f64 1/3 (-.f64 (cos.f64 x) 1)) (*.f64 2/3 (-.f64 (cos.f64 x) 1)))) (pow.f64 (-.f64 (cos.f64 x) 1) 2)))
(+.f64 (.f64 (+.f64 (.f64 1/3 (.f64 (+.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 (cos.f64 x) 1) 2)) 1/3) (-.f64 (.f64 -1/12 (-.f64 (cos.f64 x) 1)) 1/12))) (.f64 1/9 (pow.f64 (/.f64 1 (pow.f64 (-.f64 (cos.f64 x) 1) 2)) 1/3))) (pow.f64 (/.f64 1 (-.f64 (cos.f64 x) 1)) 1/3))) (+.f64 (.f64 2/9 (/.f64 (-.f64 (.f64 -1/12 (-.f64 (cos.f64 x) 1)) 1/12) (-.f64 (cos.f64 x) 1))) (+.f64 (.f64 (pow.f64 (pow.f64 (-.f64 (cos.f64 x) 1) 2) 1/3) (+.f64 (.f64 2/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 (cos.f64 x) 1) 5)) 1/3) (-.f64 (.f64 -1/12 (-.f64 (cos.f64 x) 1)) 1/12))) (.f64 2/3 (.f64 (-.f64 (.f64 1/360 (-.f64 (cos.f64 x) 1)) (+.f64 1/24 (+.f64 (.f64 2/3 (/.f64 (-.f64 (.f64 -1/12 (-.f64 (cos.f64 x) 1)) 1/12) (-.f64 (cos.f64 x) 1))) (.f64 1/27 (/.f64 1 (-.f64 (cos.f64 x) 1)))))) (pow.f64 (/.f64 1 (pow.f64 (-.f64 (cos.f64 x) 1) 2)) 1/3))))) (.f64 1/3 (-.f64 (.f64 1/360 (-.f64 (cos.f64 x) 1)) (+.f64 1/24 (+.f64 (.f64 2/3 (/.f64 (-.f64 (.f64 -1/12 (-.f64 (cos.f64 x) 1)) 1/12) (-.f64 (cos.f64 x) 1))) (.f64 1/27 (/.f64 1 (-.f64 (cos.f64 x) 1)))))))))) (pow.f64 y 6)) (+.f64 (.f64 (pow.f64 y 4) (+.f64 2/9 (+.f64 (.f64 (pow.f64 (pow.f64 (-.f64 (cos.f64 x) 1) 2) 1/3) (+.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 (cos.f64 x) 1) 2)) 1/3) (-.f64 (.f64 -1/12 (-.f64 (cos.f64 x) 1)) 1/12))) (.f64 1/9 (pow.f64 (/.f64 1 (pow.f64 (-.f64 (cos.f64 x) 1) 2)) 1/3)))) (.f64 1/3 (-.f64 (.f64 -1/12 (-.f64 (cos.f64 x) 1)) 1/12))))) (+.f64 (.f64 (pow.f64 y 2) (+.f64 (.f64 1/3 (-.f64 (cos.f64 x) 1)) (*.f64 2/3 (-.f64 (cos.f64 x) 1)))) (pow.f64 (-.f64 (cos.f64 x) 1) 2))))
(pow.f64 (-.f64 (cos.f64 x) (cos.f64 y)) 2)
(pow.f64 (-.f64 (cos.f64 x) (cos.f64 y)) 2)
(pow.f64 (-.f64 (cos.f64 x) (cos.f64 y)) 2)
(pow.f64 (-.f64 (cos.f64 x) (cos.f64 y)) 2)
(pow.f64 (-.f64 (cos.f64 x) (cos.f64 y)) 2)
(pow.f64 (-.f64 (cos.f64 x) (cos.f64 y)) 2)
(pow.f64 (-.f64 (cos.f64 x) (cos.f64 y)) 2)
(pow.f64 (-.f64 (cos.f64 x) (cos.f64 y)) 2)
(-.f64 1 (cos.f64 y))
(-.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 x 2))) (cos.f64 y))
(-.f64 (+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 1/24 (pow.f64 x 4)))) (cos.f64 y))
(-.f64 (+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 1/24 (pow.f64 x 4)) (*.f64 -1/720 (pow.f64 x 6))))) (cos.f64 y))
(-.f64 (cos.f64 x) (cos.f64 y))
(-.f64 (cos.f64 x) (cos.f64 y))
(-.f64 (cos.f64 x) (cos.f64 y))
(-.f64 (cos.f64 x) (cos.f64 y))
(-.f64 (cos.f64 x) (cos.f64 y))
(-.f64 (cos.f64 x) (cos.f64 y))
(-.f64 (cos.f64 x) (cos.f64 y))
(-.f64 (cos.f64 x) (cos.f64 y))
(-.f64 (cos.f64 x) 1)
(-.f64 (+.f64 (cos.f64 x) (*.f64 1/2 (pow.f64 y 2))) 1)
(-.f64 (+.f64 (cos.f64 x) (+.f64 (.f64 1/2 (pow.f64 y 2)) (.f64 -1/24 (pow.f64 y 4)))) 1)
(-.f64 (+.f64 (cos.f64 x) (+.f64 (.f64 1/2 (pow.f64 y 2)) (+.f64 (.f64 1/720 (pow.f64 y 6)) (*.f64 -1/24 (pow.f64 y 4))))) 1)
(-.f64 (cos.f64 x) (cos.f64 y))
(-.f64 (cos.f64 x) (cos.f64 y))
(-.f64 (cos.f64 x) (cos.f64 y))
(-.f64 (cos.f64 x) (cos.f64 y))
(-.f64 (cos.f64 x) (cos.f64 y))
(-.f64 (cos.f64 x) (cos.f64 y))
(-.f64 (cos.f64 x) (cos.f64 y))
(-.f64 (cos.f64 x) (cos.f64 y))
(pow.f64 (pow.f64 (-.f64 1 (cos.f64 y)) 2) 1/3)
(+.f64 (pow.f64 (pow.f64 (-.f64 1 (cos.f64 y)) 2) 1/3) (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (-.f64 1 (cos.f64 y))) 1/3) (pow.f64 x 2))))
(+.f64 (pow.f64 (pow.f64 (-.f64 1 (cos.f64 y)) 2) 1/3) (+.f64 (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (-.f64 1 (cos.f64 y))) 1/3) (pow.f64 x 2))) (.f64 1/3 (.f64 (.f64 (-.f64 (.f64 1/12 (-.f64 1 (cos.f64 y))) 1/12) (pow.f64 x 4)) (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 (cos.f64 y)) 4)) 1/3)))))
(+.f64 (pow.f64 (pow.f64 (-.f64 1 (cos.f64 y)) 2) 1/3) (+.f64 (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (-.f64 1 (cos.f64 y))) 1/3) (pow.f64 x 2))) (+.f64 (.f64 1/3 (.f64 (.f64 (-.f64 (.f64 1/12 (-.f64 1 (cos.f64 y))) 1/12) (pow.f64 x 4)) (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 (cos.f64 y)) 4)) 1/3))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 (cos.f64 y)) 4)) 1/3) (.f64 (-.f64 (+.f64 (.f64 -1/360 (-.f64 1 (cos.f64 y))) (.f64 1/27 (/.f64 1 (-.f64 1 (cos.f64 y))))) (+.f64 1/24 (.f64 -2/3 (/.f64 (-.f64 (*.f64 1/12 (-.f64 1 (cos.f64 y))) 1/12) (-.f64 1 (cos.f64 y)))))) (pow.f64 x 6)))))))
(pow.f64 (pow.f64 (-.f64 (cos.f64 x) (cos.f64 y)) 2) 1/3)
(pow.f64 (pow.f64 (-.f64 (cos.f64 x) (cos.f64 y)) 2) 1/3)
(pow.f64 (pow.f64 (-.f64 (cos.f64 x) (cos.f64 y)) 2) 1/3)
(pow.f64 (pow.f64 (-.f64 (cos.f64 x) (cos.f64 y)) 2) 1/3)
(pow.f64 (pow.f64 (-.f64 (cos.f64 x) (cos.f64 y)) 2) 1/3)
(pow.f64 (pow.f64 (-.f64 (cos.f64 x) (cos.f64 y)) 2) 1/3)
(pow.f64 (pow.f64 (-.f64 (cos.f64 x) (cos.f64 y)) 2) 1/3)
(pow.f64 (pow.f64 (-.f64 (cos.f64 x) (cos.f64 y)) 2) 1/3)
(pow.f64 (pow.f64 (-.f64 (cos.f64 x) 1) 2) 1/3)
(+.f64 (.f64 1/3 (.f64 (pow.f64 y 2) (pow.f64 (/.f64 1 (-.f64 (cos.f64 x) 1)) 1/3))) (pow.f64 (pow.f64 (-.f64 (cos.f64 x) 1) 2) 1/3))
(+.f64 (.f64 1/3 (.f64 (pow.f64 y 2) (pow.f64 (/.f64 1 (-.f64 (cos.f64 x) 1)) 1/3))) (+.f64 (.f64 1/3 (.f64 (.f64 (pow.f64 y 4) (-.f64 (.f64 -1/12 (-.f64 (cos.f64 x) 1)) 1/12)) (pow.f64 (/.f64 1 (pow.f64 (-.f64 (cos.f64 x) 1) 4)) 1/3))) (pow.f64 (pow.f64 (-.f64 (cos.f64 x) 1) 2) 1/3)))
(+.f64 (.f64 1/3 (.f64 (pow.f64 y 2) (pow.f64 (/.f64 1 (-.f64 (cos.f64 x) 1)) 1/3))) (+.f64 (.f64 1/3 (.f64 (.f64 (-.f64 (.f64 1/360 (-.f64 (cos.f64 x) 1)) (+.f64 1/24 (+.f64 (.f64 2/3 (/.f64 (-.f64 (.f64 -1/12 (-.f64 (cos.f64 x) 1)) 1/12) (-.f64 (cos.f64 x) 1))) (.f64 1/27 (/.f64 1 (-.f64 (cos.f64 x) 1)))))) (pow.f64 y 6)) (pow.f64 (/.f64 1 (pow.f64 (-.f64 (cos.f64 x) 1) 4)) 1/3))) (+.f64 (.f64 1/3 (.f64 (.f64 (pow.f64 y 4) (-.f64 (*.f64 -1/12 (-.f64 (cos.f64 x) 1)) 1/12)) (pow.f64 (/.f64 1 (pow.f64 (-.f64 (cos.f64 x) 1) 4)) 1/3))) (pow.f64 (pow.f64 (-.f64 (cos.f64 x) 1) 2) 1/3))))
(pow.f64 (pow.f64 (-.f64 (cos.f64 x) (cos.f64 y)) 2) 1/3)
(pow.f64 (pow.f64 (-.f64 (cos.f64 x) (cos.f64 y)) 2) 1/3)
(pow.f64 (pow.f64 (-.f64 (cos.f64 x) (cos.f64 y)) 2) 1/3)
(pow.f64 (pow.f64 (-.f64 (cos.f64 x) (cos.f64 y)) 2) 1/3)
(pow.f64 (pow.f64 (-.f64 (cos.f64 x) (cos.f64 y)) 2) 1/3)
(pow.f64 (pow.f64 (-.f64 (cos.f64 x) (cos.f64 y)) 2) 1/3)
(pow.f64 (pow.f64 (-.f64 (cos.f64 x) (cos.f64 y)) 2) 1/3)
(pow.f64 (pow.f64 (-.f64 (cos.f64 x) (cos.f64 y)) 2) 1/3)

Outputs
(pow.f64 (-.f64 1 (cos.f64 y)) 2)
(+.f64 (pow.f64 (-.f64 1 (cos.f64 y)) 2) (.f64 (+.f64 (.f64 -1/3 (-.f64 1 (cos.f64 y))) (*.f64 -2/3 (-.f64 1 (cos.f64 y)))) (pow.f64 x 2)))
(+.f64 (pow.f64 (-.f64 1 (cos.f64 y)) 2) (.f64 (.f64 (-.f64 1 (cos.f64 y)) -1) (*.f64 x x)))
(fma.f64 (.f64 (-.f64 1 (cos.f64 y)) -1) (.f64 x x) (pow.f64 (-.f64 1 (cos.f64 y)) 2))
(.f64 (-.f64 1 (cos.f64 y)) (+.f64 (-.f64 1 (cos.f64 y)) (neg.f64 (.f64 x x))))
(+.f64 (pow.f64 (-.f64 1 (cos.f64 y)) 2) (+.f64 (.f64 (+.f64 (.f64 -1/3 (-.f64 1 (cos.f64 y))) (.f64 -2/3 (-.f64 1 (cos.f64 y)))) (pow.f64 x 2)) (.f64 (+.f64 2/9 (+.f64 (.f64 1/3 (-.f64 (.f64 1/12 (-.f64 1 (cos.f64 y))) 1/12)) (.f64 (pow.f64 (pow.f64 (-.f64 1 (cos.f64 y)) 2) 1/3) (+.f64 (.f64 2/3 (.f64 (-.f64 (.f64 1/12 (-.f64 1 (cos.f64 y))) 1/12) (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 (cos.f64 y)) 2)) 1/3))) (*.f64 1/9 (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 (cos.f64 y)) 2)) 1/3)))))) (pow.f64 x 4))))
(+.f64 (pow.f64 (-.f64 1 (cos.f64 y)) 2) (fma.f64 (.f64 (-.f64 1 (cos.f64 y)) -1) (.f64 x x) (.f64 (+.f64 2/9 (fma.f64 1/3 (fma.f64 1/12 (-.f64 1 (cos.f64 y)) -1/12) (.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 y)) 2)) (fma.f64 2/3 (.f64 (fma.f64 1/12 (-.f64 1 (cos.f64 y)) -1/12) (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 1 (cos.f64 y)) 2)))) (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 1 (cos.f64 y)) 2))) 1/9))))) (pow.f64 x 4))))
(+.f64 (pow.f64 (-.f64 1 (cos.f64 y)) 2) (fma.f64 (+.f64 2/9 (fma.f64 1/3 (fma.f64 (-.f64 1 (cos.f64 y)) 1/12 -1/12) (.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 y)) 2)) (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 1 (cos.f64 y)) 2))) (+.f64 (.f64 (fma.f64 (-.f64 1 (cos.f64 y)) 1/12 -1/12) 2/3) 1/9))))) (pow.f64 x 4) (.f64 (-.f64 1 (cos.f64 y)) (.f64 -1 (.f64 x x)))))
(+.f64 (.f64 (-.f64 1 (cos.f64 y)) (+.f64 (-.f64 1 (cos.f64 y)) (neg.f64 (.f64 x x)))) (.f64 (+.f64 2/9 (fma.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 y)) 2)) (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 1 (cos.f64 y)) 2))) (+.f64 1/9 (.f64 (fma.f64 (-.f64 1 (cos.f64 y)) 1/12 -1/12) 2/3))) (.f64 1/3 (fma.f64 (-.f64 1 (cos.f64 y)) 1/12 -1/12)))) (pow.f64 x 4)))
(+.f64 (pow.f64 (-.f64 1 (cos.f64 y)) 2) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 (cos.f64 y)) 2)) 1/3) (-.f64 (+.f64 (.f64 -1/360 (-.f64 1 (cos.f64 y))) (.f64 1/27 (/.f64 1 (-.f64 1 (cos.f64 y))))) (+.f64 1/24 (.f64 -2/3 (/.f64 (-.f64 (.f64 1/12 (-.f64 1 (cos.f64 y))) 1/12) (-.f64 1 (cos.f64 y)))))))) (.f64 -2/9 (.f64 (-.f64 (.f64 1/12 (-.f64 1 (cos.f64 y))) 1/12) (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 (cos.f64 y)) 5)) 1/3)))) (pow.f64 (pow.f64 (-.f64 1 (cos.f64 y)) 2) 1/3)) (+.f64 (.f64 1/3 (-.f64 (+.f64 (.f64 -1/360 (-.f64 1 (cos.f64 y))) (.f64 1/27 (/.f64 1 (-.f64 1 (cos.f64 y))))) (+.f64 1/24 (.f64 -2/3 (/.f64 (-.f64 (.f64 1/12 (-.f64 1 (cos.f64 y))) 1/12) (-.f64 1 (cos.f64 y))))))) (+.f64 (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (-.f64 1 (cos.f64 y))) 1/3) (+.f64 (.f64 2/3 (.f64 (-.f64 (.f64 1/12 (-.f64 1 (cos.f64 y))) 1/12) (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 (cos.f64 y)) 2)) 1/3))) (.f64 1/9 (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 (cos.f64 y)) 2)) 1/3))))) (.f64 -2/9 (/.f64 (-.f64 (.f64 1/12 (-.f64 1 (cos.f64 y))) 1/12) (-.f64 1 (cos.f64 y))))))) (pow.f64 x 6)) (+.f64 (.f64 (+.f64 (.f64 -1/3 (-.f64 1 (cos.f64 y))) (.f64 -2/3 (-.f64 1 (cos.f64 y)))) (pow.f64 x 2)) (.f64 (+.f64 2/9 (+.f64 (.f64 1/3 (-.f64 (.f64 1/12 (-.f64 1 (cos.f64 y))) 1/12)) (.f64 (pow.f64 (pow.f64 (-.f64 1 (cos.f64 y)) 2) 1/3) (+.f64 (.f64 2/3 (.f64 (-.f64 (.f64 1/12 (-.f64 1 (cos.f64 y))) 1/12) (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 (cos.f64 y)) 2)) 1/3))) (*.f64 1/9 (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 (cos.f64 y)) 2)) 1/3)))))) (pow.f64 x 4)))))
(+.f64 (pow.f64 (-.f64 1 (cos.f64 y)) 2) (fma.f64 (fma.f64 (fma.f64 2/3 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 1 (cos.f64 y)) 2))) (-.f64 (fma.f64 -1/360 (-.f64 1 (cos.f64 y)) (/.f64 1/27 (-.f64 1 (cos.f64 y)))) (+.f64 1/24 (.f64 -2/3 (/.f64 (fma.f64 1/12 (-.f64 1 (cos.f64 y)) -1/12) (-.f64 1 (cos.f64 y))))))) (.f64 -2/9 (.f64 (fma.f64 1/12 (-.f64 1 (cos.f64 y)) -1/12) (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 1 (cos.f64 y)) 5)))))) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 y)) 2)) (fma.f64 1/3 (-.f64 (fma.f64 -1/360 (-.f64 1 (cos.f64 y)) (/.f64 1/27 (-.f64 1 (cos.f64 y)))) (+.f64 1/24 (.f64 -2/3 (/.f64 (fma.f64 1/12 (-.f64 1 (cos.f64 y)) -1/12) (-.f64 1 (cos.f64 y)))))) (fma.f64 -1/3 (.f64 (fma.f64 2/3 (.f64 (fma.f64 1/12 (-.f64 1 (cos.f64 y)) -1/12) (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 1 (cos.f64 y)) 2)))) (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 1 (cos.f64 y)) 2))) 1/9)) (cbrt.f64 (/.f64 1 (-.f64 1 (cos.f64 y))))) (/.f64 (.f64 -2/9 (fma.f64 1/12 (-.f64 1 (cos.f64 y)) -1/12)) (-.f64 1 (cos.f64 y)))))) (pow.f64 x 6) (fma.f64 (.f64 (-.f64 1 (cos.f64 y)) -1) (.f64 x x) (.f64 (+.f64 2/9 (fma.f64 1/3 (fma.f64 1/12 (-.f64 1 (cos.f64 y)) -1/12) (.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 y)) 2)) (fma.f64 2/3 (.f64 (fma.f64 1/12 (-.f64 1 (cos.f64 y)) -1/12) (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 1 (cos.f64 y)) 2)))) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 1 (cos.f64 y)) 2))) 1/9))))) (pow.f64 x 4)))))
(+.f64 (pow.f64 (-.f64 1 (cos.f64 y)) 2) (fma.f64 (fma.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 y)) 2)) (fma.f64 2/3 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 1 (cos.f64 y)) 2))) (-.f64 (fma.f64 (-.f64 1 (cos.f64 y)) -1/360 (/.f64 1/27 (-.f64 1 (cos.f64 y)))) (fma.f64 -2/3 (/.f64 (fma.f64 (-.f64 1 (cos.f64 y)) 1/12 -1/12) (-.f64 1 (cos.f64 y))) 1/24))) (.f64 (fma.f64 (-.f64 1 (cos.f64 y)) 1/12 -1/12) (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 1 (cos.f64 y)) 5))) -2/9))) (fma.f64 1/3 (-.f64 (fma.f64 (-.f64 1 (cos.f64 y)) -1/360 (/.f64 1/27 (-.f64 1 (cos.f64 y)))) (fma.f64 -2/3 (/.f64 (fma.f64 (-.f64 1 (cos.f64 y)) 1/12 -1/12) (-.f64 1 (cos.f64 y))) 1/24)) (fma.f64 (.f64 -1/3 (cbrt.f64 (/.f64 1 (-.f64 1 (cos.f64 y))))) (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 1 (cos.f64 y)) 2))) (+.f64 (.f64 (fma.f64 (-.f64 1 (cos.f64 y)) 1/12 -1/12) 2/3) 1/9)) (.f64 (/.f64 (fma.f64 (-.f64 1 (cos.f64 y)) 1/12 -1/12) (-.f64 1 (cos.f64 y))) -2/9)))) (pow.f64 x 6) (fma.f64 (+.f64 2/9 (fma.f64 1/3 (fma.f64 (-.f64 1 (cos.f64 y)) 1/12 -1/12) (.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 y)) 2)) (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 1 (cos.f64 y)) 2))) (+.f64 (.f64 (fma.f64 (-.f64 1 (cos.f64 y)) 1/12 -1/12) 2/3) 1/9))))) (pow.f64 x 4) (.f64 (-.f64 1 (cos.f64 y)) (.f64 -1 (*.f64 x x))))))
(+.f64 (pow.f64 (-.f64 1 (cos.f64 y)) 2) (fma.f64 (fma.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 y)) 2)) (fma.f64 2/3 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 1 (cos.f64 y)) 2))) (-.f64 (fma.f64 (-.f64 1 (cos.f64 y)) -1/360 (/.f64 1/27 (-.f64 1 (cos.f64 y)))) (fma.f64 -2/3 (+.f64 1/12 (/.f64 -1/12 (-.f64 1 (cos.f64 y)))) 1/24))) (.f64 (fma.f64 (-.f64 1 (cos.f64 y)) 1/12 -1/12) (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 1 (cos.f64 y)) 5))) -2/9))) (fma.f64 1/3 (-.f64 (fma.f64 (-.f64 1 (cos.f64 y)) -1/360 (/.f64 1/27 (-.f64 1 (cos.f64 y)))) (fma.f64 -2/3 (+.f64 1/12 (/.f64 -1/12 (-.f64 1 (cos.f64 y)))) 1/24)) (fma.f64 (+.f64 1/12 (/.f64 -1/12 (-.f64 1 (cos.f64 y)))) -2/9 (.f64 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 1 (cos.f64 y)) 2))) (+.f64 1/9 (.f64 (fma.f64 (-.f64 1 (cos.f64 y)) 1/12 -1/12) 2/3))) (.f64 -1/3 (cbrt.f64 (/.f64 1 (-.f64 1 (cos.f64 y))))))))) (pow.f64 x 6) (fma.f64 (+.f64 2/9 (fma.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 y)) 2)) (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 1 (cos.f64 y)) 2))) (+.f64 1/9 (.f64 (fma.f64 (-.f64 1 (cos.f64 y)) 1/12 -1/12) 2/3))) (.f64 1/3 (fma.f64 (-.f64 1 (cos.f64 y)) 1/12 -1/12)))) (pow.f64 x 4) (.f64 (-.f64 1 (cos.f64 y)) (neg.f64 (.f64 x x))))))
(pow.f64 (-.f64 (cos.f64 x) (cos.f64 y)) 2)
(pow.f64 (-.f64 (cos.f64 x) (cos.f64 y)) 2)
(pow.f64 (-.f64 (cos.f64 x) (cos.f64 y)) 2)
(pow.f64 (-.f64 (cos.f64 x) (cos.f64 y)) 2)
(pow.f64 (-.f64 (cos.f64 x) (cos.f64 y)) 2)
(pow.f64 (-.f64 (cos.f64 x) (cos.f64 y)) 2)
(pow.f64 (-.f64 (cos.f64 x) (cos.f64 y)) 2)
(pow.f64 (-.f64 (cos.f64 x) (cos.f64 y)) 2)
(pow.f64 (-.f64 (cos.f64 x) 1) 2)
(pow.f64 (+.f64 (cos.f64 x) -1) 2)
(+.f64 (.f64 (pow.f64 y 2) (+.f64 (.f64 1/3 (-.f64 (cos.f64 x) 1)) (*.f64 2/3 (-.f64 (cos.f64 x) 1)))) (pow.f64 (-.f64 (cos.f64 x) 1) 2))
(fma.f64 (.f64 y y) (.f64 (+.f64 (cos.f64 x) -1) 1) (pow.f64 (+.f64 (cos.f64 x) -1) 2))
(fma.f64 (+.f64 (cos.f64 x) -1) (*.f64 y y) (pow.f64 (+.f64 (cos.f64 x) -1) 2))
(.f64 (+.f64 (cos.f64 x) -1) (+.f64 (+.f64 (cos.f64 x) -1) (.f64 y y)))
(+.f64 (.f64 (pow.f64 y 4) (+.f64 2/9 (+.f64 (.f64 (pow.f64 (pow.f64 (-.f64 (cos.f64 x) 1) 2) 1/3) (+.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 (cos.f64 x) 1) 2)) 1/3) (-.f64 (.f64 -1/12 (-.f64 (cos.f64 x) 1)) 1/12))) (.f64 1/9 (pow.f64 (/.f64 1 (pow.f64 (-.f64 (cos.f64 x) 1) 2)) 1/3)))) (.f64 1/3 (-.f64 (.f64 -1/12 (-.f64 (cos.f64 x) 1)) 1/12))))) (+.f64 (.f64 (pow.f64 y 2) (+.f64 (.f64 1/3 (-.f64 (cos.f64 x) 1)) (*.f64 2/3 (-.f64 (cos.f64 x) 1)))) (pow.f64 (-.f64 (cos.f64 x) 1) 2)))
(fma.f64 (pow.f64 y 4) (+.f64 2/9 (fma.f64 (cbrt.f64 (pow.f64 (+.f64 (cos.f64 x) -1) 2)) (fma.f64 2/3 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 (cos.f64 x) -1) 2))) (fma.f64 -1/12 (+.f64 (cos.f64 x) -1) -1/12)) (.f64 1/9 (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 (cos.f64 x) -1) 2))))) (.f64 1/3 (fma.f64 -1/12 (+.f64 (cos.f64 x) -1) -1/12)))) (fma.f64 (.f64 y y) (*.f64 (+.f64 (cos.f64 x) -1) 1) (pow.f64 (+.f64 (cos.f64 x) -1) 2)))
(fma.f64 (pow.f64 y 4) (+.f64 2/9 (fma.f64 1/3 (fma.f64 (+.f64 (cos.f64 x) -1) -1/12 -1/12) (.f64 (cbrt.f64 (pow.f64 (+.f64 (cos.f64 x) -1) 2)) (fma.f64 2/3 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 (cos.f64 x) -1) 2))) (fma.f64 (+.f64 (cos.f64 x) -1) -1/12 -1/12)) (.f64 1/9 (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 (cos.f64 x) -1) 2)))))))) (fma.f64 (+.f64 (cos.f64 x) -1) (.f64 y y) (pow.f64 (+.f64 (cos.f64 x) -1) 2)))
(fma.f64 (pow.f64 y 4) (+.f64 2/9 (fma.f64 1/3 (fma.f64 (+.f64 (cos.f64 x) -1) -1/12 -1/12) (.f64 (cbrt.f64 (pow.f64 (+.f64 (cos.f64 x) -1) 2)) (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 (cos.f64 x) -1) 2))) (+.f64 (.f64 2/3 (fma.f64 (+.f64 (cos.f64 x) -1) -1/12 -1/12)) 1/9))))) (.f64 (+.f64 (cos.f64 x) -1) (+.f64 (+.f64 (cos.f64 x) -1) (*.f64 y y))))
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(pow.f64 (pow.f64 (-.f64 (cos.f64 x) (cos.f64 y)) 2) 1/3)
(cbrt.f64 (pow.f64 (-.f64 (cos.f64 x) (cos.f64 y)) 2))
(pow.f64 (pow.f64 (-.f64 (cos.f64 x) 1) 2) 1/3)
(cbrt.f64 (pow.f64 (+.f64 (cos.f64 x) -1) 2))
(+.f64 (.f64 1/3 (.f64 (pow.f64 y 2) (pow.f64 (/.f64 1 (-.f64 (cos.f64 x) 1)) 1/3))) (pow.f64 (pow.f64 (-.f64 (cos.f64 x) 1) 2) 1/3))
(fma.f64 1/3 (.f64 (.f64 y y) (cbrt.f64 (/.f64 1 (+.f64 (cos.f64 x) -1)))) (cbrt.f64 (pow.f64 (+.f64 (cos.f64 x) -1) 2)))
(fma.f64 1/3 (.f64 y (.f64 y (cbrt.f64 (/.f64 1 (+.f64 (cos.f64 x) -1))))) (cbrt.f64 (pow.f64 (+.f64 (cos.f64 x) -1) 2)))
(fma.f64 (.f64 1/3 (.f64 y y)) (cbrt.f64 (/.f64 1 (+.f64 (cos.f64 x) -1))) (cbrt.f64 (pow.f64 (+.f64 (cos.f64 x) -1) 2)))
(+.f64 (.f64 1/3 (.f64 (pow.f64 y 2) (pow.f64 (/.f64 1 (-.f64 (cos.f64 x) 1)) 1/3))) (+.f64 (.f64 1/3 (.f64 (.f64 (pow.f64 y 4) (-.f64 (.f64 -1/12 (-.f64 (cos.f64 x) 1)) 1/12)) (pow.f64 (/.f64 1 (pow.f64 (-.f64 (cos.f64 x) 1) 4)) 1/3))) (pow.f64 (pow.f64 (-.f64 (cos.f64 x) 1) 2) 1/3)))
(fma.f64 1/3 (.f64 (.f64 y y) (cbrt.f64 (/.f64 1 (+.f64 (cos.f64 x) -1)))) (fma.f64 1/3 (.f64 (.f64 (pow.f64 y 4) (fma.f64 -1/12 (+.f64 (cos.f64 x) -1) -1/12)) (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 (cos.f64 x) -1) 4)))) (cbrt.f64 (pow.f64 (+.f64 (cos.f64 x) -1) 2))))
(fma.f64 1/3 (.f64 y (.f64 y (cbrt.f64 (/.f64 1 (+.f64 (cos.f64 x) -1))))) (fma.f64 1/3 (.f64 (fma.f64 (+.f64 (cos.f64 x) -1) -1/12 -1/12) (.f64 (pow.f64 y 4) (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 (cos.f64 x) -1) 4))))) (cbrt.f64 (pow.f64 (+.f64 (cos.f64 x) -1) 2))))
(+.f64 (.f64 1/3 (.f64 (pow.f64 y 2) (pow.f64 (/.f64 1 (-.f64 (cos.f64 x) 1)) 1/3))) (+.f64 (.f64 1/3 (.f64 (.f64 (-.f64 (.f64 1/360 (-.f64 (cos.f64 x) 1)) (+.f64 1/24 (+.f64 (.f64 2/3 (/.f64 (-.f64 (.f64 -1/12 (-.f64 (cos.f64 x) 1)) 1/12) (-.f64 (cos.f64 x) 1))) (.f64 1/27 (/.f64 1 (-.f64 (cos.f64 x) 1)))))) (pow.f64 y 6)) (pow.f64 (/.f64 1 (pow.f64 (-.f64 (cos.f64 x) 1) 4)) 1/3))) (+.f64 (.f64 1/3 (.f64 (.f64 (pow.f64 y 4) (-.f64 (*.f64 -1/12 (-.f64 (cos.f64 x) 1)) 1/12)) (pow.f64 (/.f64 1 (pow.f64 (-.f64 (cos.f64 x) 1) 4)) 1/3))) (pow.f64 (pow.f64 (-.f64 (cos.f64 x) 1) 2) 1/3))))
(fma.f64 1/3 (.f64 (.f64 y y) (cbrt.f64 (/.f64 1 (+.f64 (cos.f64 x) -1)))) (fma.f64 1/3 (.f64 (-.f64 (.f64 (+.f64 (cos.f64 x) -1) 1/360) (+.f64 1/24 (fma.f64 2/3 (/.f64 (fma.f64 -1/12 (+.f64 (cos.f64 x) -1) -1/12) (+.f64 (cos.f64 x) -1)) (/.f64 1/27 (+.f64 (cos.f64 x) -1))))) (.f64 (pow.f64 y 6) (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 (cos.f64 x) -1) 4))))) (fma.f64 1/3 (.f64 (*.f64 (pow.f64 y 4) (fma.f64 -1/12 (+.f64 (cos.f64 x) -1) -1/12)) (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 (cos.f64 x) -1) 4)))) (cbrt.f64 (pow.f64 (+.f64 (cos.f64 x) -1) 2)))))
(+.f64 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 (cos.f64 x) -1) 4))) (+.f64 (.f64 (.f64 1/3 (pow.f64 y 6)) (-.f64 (fma.f64 (+.f64 (cos.f64 x) -1) 1/360 -1/24) (fma.f64 2/3 (/.f64 (fma.f64 (+.f64 (cos.f64 x) -1) -1/12 -1/12) (+.f64 (cos.f64 x) -1)) (/.f64 1/27 (+.f64 (cos.f64 x) -1))))) (.f64 1/3 (.f64 (pow.f64 y 4) (fma.f64 (+.f64 (cos.f64 x) -1) -1/12 -1/12))))) (fma.f64 1/3 (.f64 y (*.f64 y (cbrt.f64 (/.f64 1 (+.f64 (cos.f64 x) -1))))) (cbrt.f64 (pow.f64 (+.f64 (cos.f64 x) -1) 2))))
(+.f64 (.f64 1/3 (+.f64 (.f64 y (.f64 y (cbrt.f64 (/.f64 1 (+.f64 (cos.f64 x) -1))))) (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 (cos.f64 x) -1) 4))) (+.f64 (.f64 (-.f64 (fma.f64 (+.f64 (cos.f64 x) -1) 1/360 -1/24) (fma.f64 2/3 (+.f64 -1/12 (/.f64 -1/12 (+.f64 (cos.f64 x) -1))) (/.f64 1/27 (+.f64 (cos.f64 x) -1)))) (pow.f64 y 6)) (.f64 (pow.f64 y 4) (fma.f64 (+.f64 (cos.f64 x) -1) -1/12 -1/12)))))) (cbrt.f64 (pow.f64 (+.f64 (cos.f64 x) -1) 2)))
(pow.f64 (pow.f64 (-.f64 (cos.f64 x) (cos.f64 y)) 2) 1/3)
(cbrt.f64 (pow.f64 (-.f64 (cos.f64 x) (cos.f64 y)) 2))
(pow.f64 (pow.f64 (-.f64 (cos.f64 x) (cos.f64 y)) 2) 1/3)
(cbrt.f64 (pow.f64 (-.f64 (cos.f64 x) (cos.f64 y)) 2))
(pow.f64 (pow.f64 (-.f64 (cos.f64 x) (cos.f64 y)) 2) 1/3)
(cbrt.f64 (pow.f64 (-.f64 (cos.f64 x) (cos.f64 y)) 2))
(pow.f64 (pow.f64 (-.f64 (cos.f64 x) (cos.f64 y)) 2) 1/3)
(cbrt.f64 (pow.f64 (-.f64 (cos.f64 x) (cos.f64 y)) 2))
(pow.f64 (pow.f64 (-.f64 (cos.f64 x) (cos.f64 y)) 2) 1/3)
(cbrt.f64 (pow.f64 (-.f64 (cos.f64 x) (cos.f64 y)) 2))
(pow.f64 (pow.f64 (-.f64 (cos.f64 x) (cos.f64 y)) 2) 1/3)
(cbrt.f64 (pow.f64 (-.f64 (cos.f64 x) (cos.f64 y)) 2))
(pow.f64 (pow.f64 (-.f64 (cos.f64 x) (cos.f64 y)) 2) 1/3)
(cbrt.f64 (pow.f64 (-.f64 (cos.f64 x) (cos.f64 y)) 2))
(pow.f64 (pow.f64 (-.f64 (cos.f64 x) (cos.f64 y)) 2) 1/3)
(cbrt.f64 (pow.f64 (-.f64 (cos.f64 x) (cos.f64 y)) 2))

prune2.1s (13.4%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	313	2	315
Fresh	1	9	10
Picked	0	1	1
Done	0	0	0
Total	314	12	326

Error

0.2b

Counts

326 → 12

Alt Table

Status	Error	Program
	6.3b	(/.f64 (+.f64 2 (.f64 (.f64 (-.f64 (exp.f64 (log1p.f64 (.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16))))) 1) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (cbrt.f64 (.f64 (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (-.f64 (cos.f64 x) (cos.f64 y))) (-.f64 (cos.f64 x) (cos.f64 y)))))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (*.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
	0.9b	(/.f64 (+.f64 2 (-.f64 (exp.f64 (log1p.f64 (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16)) (-.f64 (sin.f64 y) (.f64 (sin.f64 x) 1/16))))))) 1)) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
	0.4b	(/.f64 (+.f64 2 (.f64 (.f64 (log.f64 (+.f64 1 (expm1.f64 (.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16)))))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (*.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
	0.4b	(/.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 (fma.f64 (.f64 (cbrt.f64 (cos.f64 x)) (cbrt.f64 (cos.f64 x))) (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))))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (*.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
	0.4b	(/.f64 (+.f64 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))) (cbrt.f64 (.f64 (pow.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 (cos.f64 x) (cos.f64 y))) 2)) 3) 3) (-.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))) (pow.f64 (cbrt.f64 (-.f64 (cos.f64 x) (cos.f64 y))) 3))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
	0.4b	(/.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 (/.f64 (pow.f64 (cos.f64 x) 2) (+.f64 (cos.f64 x) (cos.f64 y))) (/.f64 (pow.f64 (cos.f64 y) 2) (+.f64 (cos.f64 x) (cos.f64 y)))))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
	0.5b	(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (.f64 (.f64 (cbrt.f64 (-.f64 3 (sqrt.f64 5))) (cbrt.f64 (-.f64 3 (sqrt.f64 5)))) (cbrt.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))) (cbrt.f64 (.f64 (pow.f64 (cbrt.f64 (pow.f64 (-.f64 (cos.f64 x) (cos.f64 y)) 2)) 3) (-.f64 (cos.f64 x) (cos.f64 y)))))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (*.f64 (/.f64 (/.f64 4 (+.f64 3 (sqrt.f64 5))) 2) (cos.f64 y)))))
	0.5b	(/.f64 (fma.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 y) (/.f64 (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 (log.f64 (exp.f64 (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16)) (-.f64 (sin.f64 y) (.f64 (sin.f64 x) 1/16)))))))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
	0.4b	(/.f64 (+.f64 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))) (cbrt.f64 (.f64 (pow.f64 (log.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 (cos.f64 x) (cos.f64 y))) 2))) 3) (-.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)))))

Compiler

Compiled 23877 to 15586 computations (34.7% saved)

regimes204.0ms (1.3%)

Accuracy

Total -8.7b remaining (-1833.2%)

Threshold costs -8.7b (-1833.2%)

Counts

67 → 1

Compiler

Compiled 3842 to 2529 computations (34.2% saved)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Rules

14×	`+-commutative_binary64`
14×	`*-commutative_binary64`
11×	`sub-neg_binary64`
6×	`neg-sub0_binary64`
6×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	80
1	63	80
2	86	80
3	98	80
4	106	80
5	108	80

Stop Event

1×

saturated

Calls

Call 1

Inputs

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

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

end360.0ms (2.3%)

Stop Event

1×

fuel

Compiler

Compiled 827 to 555 computations (32.9% saved)

Details

analyze1.2s (7.7%)

sample8.1s (52.7%)

preprocess27.0ms (0.2%)

simplify24.0ms (0.2%)

prune7.0ms (0%)

localize29.0ms (0.2%)

series22.0ms (0.1%)

rewrite36.0ms (0.2%)

simplify44.0ms (0.3%)

prune412.0ms (2.7%)

localize33.0ms (0.2%)

series2.0ms (0%)

rewrite43.0ms (0.3%)

simplify33.0ms (0.2%)

prune1.2s (7.8%)

localize40.0ms (0.3%)

series4.0ms (0%)

rewrite46.0ms (0.3%)

simplify33.0ms (0.2%)

prune1.2s (8.1%)

localize38.0ms (0.2%)

series24.0ms (0.2%)

rewrite70.0ms (0.5%)

simplify57.0ms (0.4%)

prune2.1s (13.4%)

regimes204.0ms (1.3%)

simplify4.0ms (0%)

end360.0ms (2.3%)

Profiling