Details

analyze288.0ms (1.8%)

Algorithm

1×

Search

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

Compiler

Compiled 53 to 41 computations (22.6% saved)

sample10.7s (68.3%)

Results

6.7s	3631×	body	1024	valid
2.1s	1416×	body	512	valid
870.0ms	2317×	body	64	valid
677.0ms	591×	body	256	valid
178.0ms	280×	body	128	valid
109.0ms	21×	body	2048	valid

preprocess49.0ms (0.3%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	160
1	120	148
2	353	148
3	1524	146
4	7000	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 (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 9/2 (/.f64 (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))))
(/.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 9/2 (/.f64 (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)

simplify31.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

541×	`associate-+l+_binary64`
444×	`distribute-rgt-neg-out_binary64`
438×	`distribute-lft-neg-out_binary64`
418×	`distribute-rgt-in_binary64`
417×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	33	80
1	80	74
2	211	74
3	809	73
4	3815	71

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

Inputs

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

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

prune6.0ms (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 (fma.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)))) 2) (fma.f64 (cos.f64 x) (/.f64 (+.f64 (sqrt.f64 5) -1) 2/3) (fma.f64 (cos.f64 y) (-.f64 9/2 (/.f64 (sqrt.f64 5) 2/3)) 3)))
	0.4b	(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))

Status

Error

Program

▶

0.4b

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

0.4b

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

Compiler

Compiled 295 to 218 computations (26.1% saved)

localize28.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 (fma.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)))) 2) (fma.f64 (cos.f64 x) (/.f64 (+.f64 (sqrt.f64 5) -1) 2/3) (fma.f64 (cos.f64 y) (-.f64 9/2 (/.f64 (sqrt.f64 5) 2/3)) 3)))
✓	1.0b	(-.f64 9/2 (/.f64 (sqrt.f64 5) 2/3))
✓	1.0b	(/.f64 (+.f64 (sqrt.f64 5) -1) 2/3)
✓	1.5b	(-.f64 (cos.f64 x) (cos.f64 y))

series27.0ms (0.2%)

Counts

4 → 32

Calls

12 calls:

Time	Variable		Point	Expression
6.0ms	x	@	inf	(/.f64 (fma.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)))) 2) (fma.f64 (cos.f64 x) (/.f64 (+.f64 (sqrt.f64 5) -1) 2/3) (fma.f64 (cos.f64 y) (-.f64 9/2 (/.f64 (sqrt.f64 5) 2/3)) 3)))
4.0ms	y	@	inf	(/.f64 (fma.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)))) 2) (fma.f64 (cos.f64 x) (/.f64 (+.f64 (sqrt.f64 5) -1) 2/3) (fma.f64 (cos.f64 y) (-.f64 9/2 (/.f64 (sqrt.f64 5) 2/3)) 3)))
4.0ms	x	@	-inf	(/.f64 (fma.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)))) 2) (fma.f64 (cos.f64 x) (/.f64 (+.f64 (sqrt.f64 5) -1) 2/3) (fma.f64 (cos.f64 y) (-.f64 9/2 (/.f64 (sqrt.f64 5) 2/3)) 3)))
3.0ms	y	@	-inf	(/.f64 (fma.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)))) 2) (fma.f64 (cos.f64 x) (/.f64 (+.f64 (sqrt.f64 5) -1) 2/3) (fma.f64 (cos.f64 y) (-.f64 9/2 (/.f64 (sqrt.f64 5) 2/3)) 3)))
3.0ms	y	@	0	(/.f64 (fma.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)))) 2) (fma.f64 (cos.f64 x) (/.f64 (+.f64 (sqrt.f64 5) -1) 2/3) (fma.f64 (cos.f64 y) (-.f64 9/2 (/.f64 (sqrt.f64 5) 2/3)) 3)))

rewrite61.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

358×	`add-sqr-sqrt_binary64`
341×	`*-un-lft-identity_binary64`
341×	`pow1_binary64`
334×	`add-cbrt-cube_binary64`
334×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	31	97
1	698	87

Stop Event

1×	node limit

Counts

4 → 107

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 x) (neg.f64 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (fma.f64 (neg.f64 (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)) (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1 (cos.f64 x) (neg.f64 (.f64 (cos.f64 y) 1))) (fma.f64 (neg.f64 (cos.f64 y)) 1 (.f64 (cos.f64 y) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cbrt.f64 (cos.f64 x)) (neg.f64 (.f64 (cos.f64 y) 1))) (fma.f64 (neg.f64 (cos.f64 y)) 1 (.f64 (cos.f64 y) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (sqrt.f64 (cos.f64 x)) (sqrt.f64 (cos.f64 x)) (neg.f64 (.f64 (cos.f64 y) 1))) (fma.f64 (neg.f64 (cos.f64 y)) 1 (.f64 (cos.f64 y) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1 (cos.f64 x) (neg.f64 (.f64 (cbrt.f64 (cos.f64 y)) (pow.f64 (cbrt.f64 (cos.f64 y)) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (cos.f64 y))) (pow.f64 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simplify63.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

856×	`distribute-rgt-in_binary64`
854×	`distribute-lft-in_binary64`
808×	`fma-def_binary64`
326×	`times-frac_binary64`
295×	`associate-/l*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	184	2889
1	570	2785
2	2137	2565

Stop Event

1×	node limit

Counts

139 → 140

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 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2))))) (+.f64 (.f64 3/2 (-.f64 (sqrt.f64 5) 1)) (+.f64 3 (.f64 (cos.f64 y) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5)))))))
(+.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (.f64 (+.f64 (.f64 1/256 (sin.f64 y)) (sin.f64 y)) x))) (+.f64 (.f64 3/2 (-.f64 (sqrt.f64 5) 1)) (+.f64 3 (.f64 (cos.f64 y) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5))))))) (+.f64 (.f64 -1/16 (/.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2))) (+.f64 (.f64 3/2 (-.f64 (sqrt.f64 5) 1)) (+.f64 3 (.f64 (cos.f64 y) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5)))))))) (.f64 2 (/.f64 1 (+.f64 (.f64 3/2 (-.f64 (sqrt.f64 5) 1)) (+.f64 3 (.f64 (cos.f64 y) (-.f64 9/2 (*.f64 3/2 (sqrt.f64 5))))))))))
(+.f64 (.f64 (-.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 1/32 (pow.f64 (sin.f64 y) 2)) (.f64 -1/16 (-.f64 1 (cos.f64 y))))) (+.f64 (.f64 3/2 (-.f64 (sqrt.f64 5) 1)) (+.f64 3 (.f64 (cos.f64 y) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5))))))) (.f64 -3/4 (/.f64 (.f64 (-.f64 (sqrt.f64 5) 1) (+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2)))) 2)) (pow.f64 (+.f64 (.f64 3/2 (-.f64 (sqrt.f64 5) 1)) (+.f64 3 (.f64 (cos.f64 y) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5)))))) 2)))) (pow.f64 x 2)) (+.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (.f64 (+.f64 (.f64 1/256 (sin.f64 y)) (sin.f64 y)) x))) (+.f64 (.f64 3/2 (-.f64 (sqrt.f64 5) 1)) (+.f64 3 (.f64 (cos.f64 y) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5))))))) (+.f64 (.f64 -1/16 (/.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2))) (+.f64 (.f64 3/2 (-.f64 (sqrt.f64 5) 1)) (+.f64 3 (.f64 (cos.f64 y) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5)))))))) (.f64 2 (/.f64 1 (+.f64 (.f64 3/2 (-.f64 (sqrt.f64 5) 1)) (+.f64 3 (.f64 (cos.f64 y) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5)))))))))))
(+.f64 (.f64 (-.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 1/32 (pow.f64 (sin.f64 y) 2)) (.f64 -1/16 (-.f64 1 (cos.f64 y))))) (+.f64 (.f64 3/2 (-.f64 (sqrt.f64 5) 1)) (+.f64 3 (.f64 (cos.f64 y) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5))))))) (.f64 -3/4 (/.f64 (.f64 (-.f64 (sqrt.f64 5) 1) (+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2)))) 2)) (pow.f64 (+.f64 (.f64 3/2 (-.f64 (sqrt.f64 5) 1)) (+.f64 3 (.f64 (cos.f64 y) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5)))))) 2)))) (pow.f64 x 2)) (+.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (.f64 (+.f64 (.f64 1/256 (sin.f64 y)) (sin.f64 y)) x))) (+.f64 (.f64 3/2 (-.f64 (sqrt.f64 5) 1)) (+.f64 3 (.f64 (cos.f64 y) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5))))))) (+.f64 (.f64 -1/16 (/.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2))) (+.f64 (.f64 3/2 (-.f64 (sqrt.f64 5) 1)) (+.f64 3 (.f64 (cos.f64 y) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5)))))))) (+.f64 (.f64 2 (/.f64 1 (+.f64 (.f64 3/2 (-.f64 (sqrt.f64 5) 1)) (+.f64 3 (.f64 (cos.f64 y) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5)))))))) (.f64 (-.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 (-.f64 1 (cos.f64 y)) (+.f64 (.f64 -1/1536 (sin.f64 y)) (.f64 -1/6 (sin.f64 y)))) (.f64 -1/2 (+.f64 (.f64 1/256 (sin.f64 y)) (sin.f64 y))))) (+.f64 (.f64 3/2 (-.f64 (sqrt.f64 5) 1)) (+.f64 3 (.f64 (cos.f64 y) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5))))))) (.f64 -3/4 (/.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 (sqrt.f64 5) 1) (.f64 (-.f64 1 (cos.f64 y)) (+.f64 (.f64 1/256 (sin.f64 y)) (sin.f64 y))))) (pow.f64 (+.f64 (.f64 3/2 (-.f64 (sqrt.f64 5) 1)) (+.f64 3 (.f64 (cos.f64 y) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5)))))) 2)))) (pow.f64 x 3))))))
(/.f64 (+.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x)) (+.f64 (.f64 -1/16 (sin.f64 x)) (sin.f64 y))))) 2) (+.f64 3 (+.f64 (.f64 (cos.f64 y) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5)))) (.f64 3/2 (*.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))))))
(/.f64 (+.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x)) (+.f64 (.f64 -1/16 (sin.f64 x)) (sin.f64 y))))) 2) (+.f64 3 (+.f64 (.f64 (cos.f64 y) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5)))) (.f64 3/2 (*.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))))))
(/.f64 (+.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x)) (+.f64 (.f64 -1/16 (sin.f64 x)) (sin.f64 y))))) 2) (+.f64 3 (+.f64 (.f64 (cos.f64 y) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5)))) (.f64 3/2 (*.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))))))
(/.f64 (+.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x)) (+.f64 (.f64 -1/16 (sin.f64 x)) (sin.f64 y))))) 2) (+.f64 3 (+.f64 (.f64 (cos.f64 y) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5)))) (.f64 3/2 (*.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))))))
(/.f64 (+.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x)) (+.f64 (.f64 -1/16 (sin.f64 x)) (sin.f64 y))))) 2) (+.f64 3 (+.f64 (.f64 (cos.f64 y) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5)))) (.f64 3/2 (*.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))))))
(/.f64 (+.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x)) (+.f64 (.f64 -1/16 (sin.f64 x)) (sin.f64 y))))) 2) (+.f64 3 (+.f64 (.f64 (cos.f64 y) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5)))) (.f64 3/2 (*.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))))))
(/.f64 (+.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x)) (+.f64 (.f64 -1/16 (sin.f64 x)) (sin.f64 y))))) 2) (+.f64 3 (+.f64 (.f64 (cos.f64 y) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5)))) (.f64 3/2 (*.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))))))
(/.f64 (+.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x)) (+.f64 (.f64 -1/16 (sin.f64 x)) (sin.f64 y))))) 2) (+.f64 3 (+.f64 (.f64 (cos.f64 y) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5)))) (.f64 3/2 (*.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (.f64 3/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))) (.f64 3/2 (sqrt.f64 5))))
(+.f64 (.f64 2 (/.f64 1 (-.f64 (+.f64 15/2 (.f64 3/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))) (.f64 3/2 (sqrt.f64 5))))) (+.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 y (.f64 (-.f64 (cos.f64 x) 1) (+.f64 (.f64 1/256 (sin.f64 x)) (sin.f64 x))))) (-.f64 (+.f64 15/2 (.f64 3/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))) (.f64 3/2 (sqrt.f64 5)))) (.f64 -1/16 (/.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))) (-.f64 (+.f64 15/2 (.f64 3/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))) (*.f64 3/2 (sqrt.f64 5)))))))
(+.f64 (.f64 (pow.f64 y 2) (-.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 -1/32 (pow.f64 (sin.f64 x) 2)) (.f64 -1/16 (-.f64 (cos.f64 x) 1)))) (-.f64 (+.f64 15/2 (.f64 3/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))) (.f64 3/2 (sqrt.f64 5)))) (.f64 -1/2 (/.f64 (.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5)))) (pow.f64 (-.f64 (+.f64 15/2 (.f64 3/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))) (.f64 3/2 (sqrt.f64 5))) 2))))) (+.f64 (.f64 2 (/.f64 1 (-.f64 (+.f64 15/2 (.f64 3/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))) (.f64 3/2 (sqrt.f64 5))))) (+.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 y (.f64 (-.f64 (cos.f64 x) 1) (+.f64 (.f64 1/256 (sin.f64 x)) (sin.f64 x))))) (-.f64 (+.f64 15/2 (.f64 3/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))) (.f64 3/2 (sqrt.f64 5)))) (.f64 -1/16 (/.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))) (-.f64 (+.f64 15/2 (.f64 3/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))) (*.f64 3/2 (sqrt.f64 5))))))))
(+.f64 (.f64 (pow.f64 y 3) (-.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 1/2 (+.f64 (.f64 1/256 (sin.f64 x)) (sin.f64 x))) (.f64 (+.f64 (.f64 -1/1536 (sin.f64 x)) (.f64 -1/6 (sin.f64 x))) (-.f64 (cos.f64 x) 1)))) (-.f64 (+.f64 15/2 (.f64 3/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))) (.f64 3/2 (sqrt.f64 5)))) (.f64 -1/2 (/.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) 1) (.f64 (+.f64 (.f64 1/256 (sin.f64 x)) (sin.f64 x)) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5)))))) (pow.f64 (-.f64 (+.f64 15/2 (.f64 3/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))) (.f64 3/2 (sqrt.f64 5))) 2))))) (+.f64 (.f64 (pow.f64 y 2) (-.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 -1/32 (pow.f64 (sin.f64 x) 2)) (.f64 -1/16 (-.f64 (cos.f64 x) 1)))) (-.f64 (+.f64 15/2 (.f64 3/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))) (.f64 3/2 (sqrt.f64 5)))) (.f64 -1/2 (/.f64 (.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5)))) (pow.f64 (-.f64 (+.f64 15/2 (.f64 3/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))) (.f64 3/2 (sqrt.f64 5))) 2))))) (+.f64 (.f64 2 (/.f64 1 (-.f64 (+.f64 15/2 (.f64 3/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))) (.f64 3/2 (sqrt.f64 5))))) (+.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 y (.f64 (-.f64 (cos.f64 x) 1) (+.f64 (.f64 1/256 (sin.f64 x)) (sin.f64 x))))) (-.f64 (+.f64 15/2 (.f64 3/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))) (.f64 3/2 (sqrt.f64 5)))) (.f64 -1/16 (/.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))) (-.f64 (+.f64 15/2 (.f64 3/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))) (.f64 3/2 (sqrt.f64 5)))))))))
(/.f64 (+.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x)) (+.f64 (.f64 -1/16 (sin.f64 x)) (sin.f64 y))))) 2) (+.f64 3 (+.f64 (.f64 (cos.f64 y) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5)))) (.f64 3/2 (*.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))))))
(/.f64 (+.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x)) (+.f64 (.f64 -1/16 (sin.f64 x)) (sin.f64 y))))) 2) (+.f64 3 (+.f64 (.f64 (cos.f64 y) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5)))) (.f64 3/2 (*.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))))))
(/.f64 (+.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x)) (+.f64 (.f64 -1/16 (sin.f64 x)) (sin.f64 y))))) 2) (+.f64 3 (+.f64 (.f64 (cos.f64 y) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5)))) (.f64 3/2 (*.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))))))
(/.f64 (+.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x)) (+.f64 (.f64 -1/16 (sin.f64 x)) (sin.f64 y))))) 2) (+.f64 3 (+.f64 (.f64 (cos.f64 y) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5)))) (.f64 3/2 (*.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))))))
(/.f64 (+.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x)) (+.f64 (.f64 -1/16 (sin.f64 x)) (sin.f64 y))))) 2) (+.f64 3 (+.f64 (.f64 (cos.f64 y) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5)))) (.f64 3/2 (*.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))))))
(/.f64 (+.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x)) (+.f64 (.f64 -1/16 (sin.f64 x)) (sin.f64 y))))) 2) (+.f64 3 (+.f64 (.f64 (cos.f64 y) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5)))) (.f64 3/2 (*.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))))))
(/.f64 (+.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x)) (+.f64 (.f64 -1/16 (sin.f64 x)) (sin.f64 y))))) 2) (+.f64 3 (+.f64 (.f64 (cos.f64 y) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5)))) (.f64 3/2 (*.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))))))
(/.f64 (+.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x)) (+.f64 (.f64 -1/16 (sin.f64 x)) (sin.f64 y))))) 2) (+.f64 3 (+.f64 (.f64 (cos.f64 y) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5)))) (.f64 3/2 (*.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))))))

Outputs
(-.f64 1 (cos.f64 y))
(-.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 x 2))) (cos.f64 y))
(+.f64 1 (-.f64 (.f64 -1/2 (.f64 x x)) (cos.f64 y)))
(-.f64 (fma.f64 -1/2 (*.f64 x x) 1) (cos.f64 y))
(-.f64 (+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 1/24 (pow.f64 x 4)))) (cos.f64 y))
(+.f64 1 (-.f64 (fma.f64 -1/2 (.f64 x x) (.f64 1/24 (pow.f64 x 4))) (cos.f64 y)))
(+.f64 (fma.f64 -1/2 (.f64 x x) (.f64 1/24 (pow.f64 x 4))) (-.f64 1 (cos.f64 y)))
(-.f64 (fma.f64 -1/2 (*.f64 x x) (fma.f64 1/24 (pow.f64 x 4) 1)) (cos.f64 y))
(-.f64 (+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 1/24 (pow.f64 x 4)) (*.f64 -1/720 (pow.f64 x 6))))) (cos.f64 y))
(+.f64 1 (-.f64 (fma.f64 -1/2 (.f64 x x) (fma.f64 1/24 (pow.f64 x 4) (.f64 -1/720 (pow.f64 x 6)))) (cos.f64 y)))
(+.f64 1 (-.f64 (fma.f64 -1/2 (.f64 x x) (fma.f64 -1/720 (pow.f64 x 6) (.f64 1/24 (pow.f64 x 4)))) (cos.f64 y)))
(-.f64 (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 (cos.f64 x) (fma.f64 y (*.f64 y 1/2) (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 -1/24 (pow.f64 y 4) (.f64 1/720 (pow.f64 y 6))) 1))
(+.f64 (cos.f64 x) (+.f64 (fma.f64 -1/24 (pow.f64 y 4) (.f64 1/720 (pow.f64 y 6))) (fma.f64 y (.f64 y 1/2) -1)))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2))))) (+.f64 (.f64 3/2 (-.f64 (sqrt.f64 5) 1)) (+.f64 3 (.f64 (cos.f64 y) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5)))))))
(/.f64 (fma.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2))) 2) (fma.f64 3/2 (+.f64 (sqrt.f64 5) -1) (+.f64 3 (.f64 (cos.f64 y) (+.f64 9/2 (.f64 -3/2 (sqrt.f64 5)))))))
(/.f64 (fma.f64 -1/16 (.f64 (-.f64 1 (cos.f64 y)) (.f64 (pow.f64 (sin.f64 y) 2) (sqrt.f64 2))) 2) (fma.f64 3/2 (+.f64 (sqrt.f64 5) -1) (fma.f64 (cos.f64 y) (+.f64 9/2 (*.f64 (sqrt.f64 5) -3/2)) 3)))
(/.f64 (fma.f64 (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2)) (.f64 -1/16 (sqrt.f64 2)) 2) (+.f64 (fma.f64 3/2 (sqrt.f64 5) -3/2) (fma.f64 (cos.f64 y) (fma.f64 (sqrt.f64 5) -3/2 9/2) 3)))
(+.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (.f64 (+.f64 (.f64 1/256 (sin.f64 y)) (sin.f64 y)) x))) (+.f64 (.f64 3/2 (-.f64 (sqrt.f64 5) 1)) (+.f64 3 (.f64 (cos.f64 y) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5))))))) (+.f64 (.f64 -1/16 (/.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2))) (+.f64 (.f64 3/2 (-.f64 (sqrt.f64 5) 1)) (+.f64 3 (.f64 (cos.f64 y) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5)))))))) (.f64 2 (/.f64 1 (+.f64 (.f64 3/2 (-.f64 (sqrt.f64 5) 1)) (+.f64 3 (.f64 (cos.f64 y) (-.f64 9/2 (*.f64 3/2 (sqrt.f64 5))))))))))
(+.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (.f64 x (.f64 257/256 (sin.f64 y))))) (fma.f64 3/2 (+.f64 (sqrt.f64 5) -1) (+.f64 3 (.f64 (cos.f64 y) (+.f64 9/2 (.f64 -3/2 (sqrt.f64 5))))))) (fma.f64 -1/16 (/.f64 (sqrt.f64 2) (/.f64 (fma.f64 3/2 (+.f64 (sqrt.f64 5) -1) (+.f64 3 (.f64 (cos.f64 y) (+.f64 9/2 (.f64 -3/2 (sqrt.f64 5)))))) (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2)))) (/.f64 2 (fma.f64 3/2 (+.f64 (sqrt.f64 5) -1) (+.f64 3 (.f64 (cos.f64 y) (+.f64 9/2 (*.f64 -3/2 (sqrt.f64 5)))))))))
(+.f64 (.f64 (/.f64 (sqrt.f64 2) (fma.f64 3/2 (+.f64 (sqrt.f64 5) -1) (fma.f64 (cos.f64 y) (+.f64 9/2 (.f64 (sqrt.f64 5) -3/2)) 3))) (.f64 (-.f64 1 (cos.f64 y)) (.f64 x (.f64 (sin.f64 y) 257/256)))) (fma.f64 -1/16 (.f64 (/.f64 (sqrt.f64 2) (fma.f64 3/2 (+.f64 (sqrt.f64 5) -1) (fma.f64 (cos.f64 y) (+.f64 9/2 (.f64 (sqrt.f64 5) -3/2)) 3))) (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2))) (/.f64 2 (fma.f64 3/2 (+.f64 (sqrt.f64 5) -1) (fma.f64 (cos.f64 y) (+.f64 9/2 (*.f64 (sqrt.f64 5) -3/2)) 3)))))
(fma.f64 (/.f64 (sqrt.f64 2) (+.f64 (fma.f64 3/2 (sqrt.f64 5) -3/2) (fma.f64 (cos.f64 y) (fma.f64 (sqrt.f64 5) -3/2 9/2) 3))) (.f64 (-.f64 1 (cos.f64 y)) (.f64 x (.f64 (sin.f64 y) 257/256))) (fma.f64 -1/16 (.f64 (/.f64 (sqrt.f64 2) (+.f64 (fma.f64 3/2 (sqrt.f64 5) -3/2) (fma.f64 (cos.f64 y) (fma.f64 (sqrt.f64 5) -3/2 9/2) 3))) (*.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2))) (/.f64 2 (+.f64 (fma.f64 3/2 (sqrt.f64 5) -3/2) (fma.f64 (cos.f64 y) (fma.f64 (sqrt.f64 5) -3/2 9/2) 3)))))
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(/.f64 (fma.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)) (fma.f64 -1/16 (sin.f64 x) (sin.f64 y)))) 2) (fma.f64 (cos.f64 y) (fma.f64 (sqrt.f64 5) -3/2 9/2) (fma.f64 (cos.f64 x) (fma.f64 3/2 (sqrt.f64 5) -3/2) 3)))
(/.f64 (+.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x)) (+.f64 (.f64 -1/16 (sin.f64 x)) (sin.f64 y))))) 2) (+.f64 3 (+.f64 (.f64 (cos.f64 y) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5)))) (.f64 3/2 (*.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))))))
(/.f64 (fma.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)) (fma.f64 -1/16 (sin.f64 x) (sin.f64 y)))) 2) (+.f64 3 (fma.f64 (cos.f64 y) (+.f64 9/2 (.f64 -3/2 (sqrt.f64 5))) (.f64 3/2 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1))))))
(/.f64 (fma.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)) (fma.f64 -1/16 (sin.f64 x) (sin.f64 y)))) 2) (+.f64 3 (fma.f64 (+.f64 (.f64 3/2 (sqrt.f64 5)) -3/2) (cos.f64 x) (.f64 (cos.f64 y) (+.f64 9/2 (*.f64 (sqrt.f64 5) -3/2))))))
(/.f64 (fma.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)) (fma.f64 -1/16 (sin.f64 x) (sin.f64 y)))) 2) (fma.f64 (cos.f64 y) (fma.f64 (sqrt.f64 5) -3/2 9/2) (fma.f64 (cos.f64 x) (fma.f64 3/2 (sqrt.f64 5) -3/2) 3)))
(/.f64 (+.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x)) (+.f64 (.f64 -1/16 (sin.f64 x)) (sin.f64 y))))) 2) (+.f64 3 (+.f64 (.f64 (cos.f64 y) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5)))) (.f64 3/2 (*.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))))))
(/.f64 (fma.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)) (fma.f64 -1/16 (sin.f64 x) (sin.f64 y)))) 2) (+.f64 3 (fma.f64 (cos.f64 y) (+.f64 9/2 (.f64 -3/2 (sqrt.f64 5))) (.f64 3/2 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1))))))
(/.f64 (fma.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)) (fma.f64 -1/16 (sin.f64 x) (sin.f64 y)))) 2) (+.f64 3 (fma.f64 (+.f64 (.f64 3/2 (sqrt.f64 5)) -3/2) (cos.f64 x) (.f64 (cos.f64 y) (+.f64 9/2 (*.f64 (sqrt.f64 5) -3/2))))))
(/.f64 (fma.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)) (fma.f64 -1/16 (sin.f64 x) (sin.f64 y)))) 2) (fma.f64 (cos.f64 y) (fma.f64 (sqrt.f64 5) -3/2 9/2) (fma.f64 (cos.f64 x) (fma.f64 3/2 (sqrt.f64 5) -3/2) 3)))

prune558.0ms (3.6%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	128	12	140
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	130	12	142

Error

0.0b

Counts

142 → 12

Alt Table

Status	Error	Program
	0.5b	(/.f64 (fma.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)))) 2) (fma.f64 (cos.f64 x) (expm1.f64 (log1p.f64 (*.f64 (+.f64 (sqrt.f64 5) -1) 3/2))) (fma.f64 (cos.f64 y) (-.f64 9/2 (/.f64 (sqrt.f64 5) 2/3)) 3)))
	29.8b	(+.f64 (fma.f64 (.f64 y y) (fma.f64 1/2 (.f64 (/.f64 (fma.f64 (.f64 (sqrt.f64 2) (fma.f64 (cos.f64 x) -1/16 1/16)) (pow.f64 (sin.f64 x) 2) 2) (pow.f64 (fma.f64 (sqrt.f64 5) -3/2 (fma.f64 (cos.f64 x) (fma.f64 3/2 (sqrt.f64 5) -3/2) 15/2)) 2)) (fma.f64 (sqrt.f64 5) -3/2 9/2)) (.f64 (/.f64 (sqrt.f64 2) (fma.f64 (sqrt.f64 5) -3/2 (fma.f64 (cos.f64 x) (fma.f64 3/2 (sqrt.f64 5) -3/2) 15/2))) (fma.f64 (pow.f64 (sin.f64 x) 2) -1/32 (fma.f64 (cos.f64 x) -1/16 1/16)))) (fma.f64 (/.f64 (sqrt.f64 2) (fma.f64 (sqrt.f64 5) -3/2 (fma.f64 (cos.f64 x) (fma.f64 3/2 (sqrt.f64 5) -3/2) 15/2))) (.f64 y (.f64 (+.f64 (cos.f64 x) -1) (.f64 (sin.f64 x) 257/256))) (/.f64 2 (fma.f64 (sqrt.f64 5) -3/2 (fma.f64 (cos.f64 x) (fma.f64 3/2 (sqrt.f64 5) -3/2) 15/2))))) (/.f64 (.f64 (*.f64 (sqrt.f64 2) (fma.f64 (cos.f64 x) -1/16 1/16)) (pow.f64 (sin.f64 x) 2)) (fma.f64 (sqrt.f64 5) -3/2 (fma.f64 (cos.f64 x) (fma.f64 3/2 (sqrt.f64 5) -3/2) 15/2))))
	0.4b	(pow.f64 (/.f64 (fma.f64 (cos.f64 x) (.f64 (+.f64 (sqrt.f64 5) -1) 3/2) (fma.f64 (cos.f64 y) (-.f64 9/2 (sqrt.f64 45/4)) 3)) (fma.f64 (sqrt.f64 2) (.f64 (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)) (*.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (fma.f64 (sin.f64 x) -1/16 (sin.f64 y)))) 2)) -1)
	0.8b	(.f64 (/.f64 (sqrt.f64 (fma.f64 (sqrt.f64 2) (.f64 (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (fma.f64 (sin.f64 x) -1/16 (sin.f64 y)))) 2)) 1) (/.f64 (sqrt.f64 (fma.f64 (sqrt.f64 2) (.f64 (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (fma.f64 (sin.f64 x) -1/16 (sin.f64 y)))) 2)) (fma.f64 (cos.f64 x) (.f64 (+.f64 (sqrt.f64 5) -1) 3/2) (fma.f64 (cos.f64 y) (-.f64 9/2 (sqrt.f64 45/4)) 3))))
	0.5b	(expm1.f64 (log1p.f64 (/.f64 (fma.f64 (sqrt.f64 2) (.f64 (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (fma.f64 (sin.f64 x) -1/16 (sin.f64 y)))) 2) (fma.f64 (cos.f64 x) (*.f64 (+.f64 (sqrt.f64 5) -1) 3/2) (fma.f64 (cos.f64 y) (-.f64 9/2 (sqrt.f64 45/4)) 3)))))
	0.4b	(pow.f64 (pow.f64 (/.f64 (fma.f64 (sqrt.f64 2) (.f64 (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (fma.f64 (sin.f64 x) -1/16 (sin.f64 y)))) 2) (fma.f64 (cos.f64 x) (*.f64 (+.f64 (sqrt.f64 5) -1) 3/2) (fma.f64 (cos.f64 y) (-.f64 9/2 (sqrt.f64 45/4)) 3))) 3) 1/3)
	0.4b	(/.f64 (fma.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 1 (/.f64 (+.f64 (pow.f64 (cos.f64 x) 2) (+.f64 (pow.f64 (cos.f64 y) 2) (*.f64 (cos.f64 x) (cos.f64 y)))) (-.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (cos.f64 y) 3)))))) 2) (fma.f64 (cos.f64 x) (/.f64 (+.f64 (sqrt.f64 5) -1) 2/3) (fma.f64 (cos.f64 y) (-.f64 9/2 (/.f64 (sqrt.f64 5) 2/3)) 3)))
	0.4b	(/.f64 (fma.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)))) 2) (fma.f64 (cos.f64 x) (.f64 (pow.f64 (cbrt.f64 (.f64 (+.f64 (sqrt.f64 5) -1) 3/2)) 2) (cbrt.f64 (*.f64 (+.f64 (sqrt.f64 5) -1) 3/2))) (fma.f64 (cos.f64 y) (-.f64 9/2 (/.f64 (sqrt.f64 5) 2/3)) 3)))
	0.5b	(pow.f64 (sqrt.f64 (/.f64 (fma.f64 (sqrt.f64 2) (.f64 (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (fma.f64 (sin.f64 x) -1/16 (sin.f64 y)))) 2) (fma.f64 (cos.f64 x) (*.f64 (+.f64 (sqrt.f64 5) -1) 3/2) (fma.f64 (cos.f64 y) (-.f64 9/2 (sqrt.f64 45/4)) 3)))) 2)
▶	0.3b	(/.f64 (fma.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)) (fma.f64 -1/16 (sin.f64 x) (sin.f64 y)))) 2) (fma.f64 (cos.f64 y) (fma.f64 (sqrt.f64 5) -3/2 9/2) (fma.f64 (cos.f64 x) (fma.f64 3/2 (sqrt.f64 5) -3/2) 3)))
	1.3b	(pow.f64 (cbrt.f64 (/.f64 (fma.f64 (sqrt.f64 2) (.f64 (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (fma.f64 (sin.f64 x) -1/16 (sin.f64 y)))) 2) (fma.f64 (cos.f64 x) (*.f64 (+.f64 (sqrt.f64 5) -1) 3/2) (fma.f64 (cos.f64 y) (-.f64 9/2 (sqrt.f64 45/4)) 3)))) 3)
	0.6b	(cbrt.f64 (/.f64 (pow.f64 (fma.f64 (sqrt.f64 2) (.f64 (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (fma.f64 (sin.f64 x) -1/16 (sin.f64 y)))) 2) 3) (pow.f64 (fma.f64 (cos.f64 x) (*.f64 (+.f64 (sqrt.f64 5) -1) 3/2) (fma.f64 (cos.f64 y) (-.f64 9/2 (sqrt.f64 45/4)) 3)) 3)))

Compiler

Compiled 10012 to 6886 computations (31.2% saved)

localize27.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(*.f64 (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)) (fma.f64 -1/16 (sin.f64 x) (sin.f64 y)))
✓	1.0b	(fma.f64 (sqrt.f64 5) -3/2 9/2)
✓	1.0b	(fma.f64 3/2 (sqrt.f64 5) -3/2)
	1.5b	(-.f64 (cos.f64 x) (cos.f64 y))

series10.0ms (0.1%)

Counts

3 → 24

Calls

6 calls:

Time	Variable		Point	Expression
6.0ms	x	@	inf	(*.f64 (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)) (fma.f64 -1/16 (sin.f64 x) (sin.f64 y)))
1.0ms	y	@	inf	(*.f64 (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)) (fma.f64 -1/16 (sin.f64 x) (sin.f64 y)))
1.0ms	y	@	0	(*.f64 (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)) (fma.f64 -1/16 (sin.f64 x) (sin.f64 y)))
1.0ms	y	@	-inf	(*.f64 (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)) (fma.f64 -1/16 (sin.f64 x) (sin.f64 y)))
1.0ms	x	@	-inf	(*.f64 (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)) (fma.f64 -1/16 (sin.f64 x) (sin.f64 y)))

rewrite60.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

613×	`log-prod_binary64`
388×	`pow2_binary64`
349×	`pow-prod-down_binary64`
274×	`expm1-udef_binary64`
274×	`log1p-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	34
1	324	34
2	3512	34

Stop Event

1×	node limit

Counts

3 → 79

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 -3/2 (.f64 3/2 (sqrt.f64 5)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 3/2 (sqrt.f64 5)) -3/2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 3/2 (sqrt.f64 5) -3/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 3/2 (sqrt.f64 5)) 1) -3/2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 3/2 (sqrt.f64 5) -3/2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 3/2 (sqrt.f64 5) -3/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 3/2 (sqrt.f64 5) -3/2)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 3/2 (sqrt.f64 5) -3/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 3/2 (sqrt.f64 5) -3/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 3/2 (sqrt.f64 5) -3/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (fma.f64 3/2 (sqrt.f64 5) -3/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 3/2 (sqrt.f64 5) -3/2)) (cbrt.f64 (pow.f64 (fma.f64 3/2 (sqrt.f64 5) -3/2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (fma.f64 3/2 (sqrt.f64 5) -3/2) 2)) (cbrt.f64 (fma.f64 3/2 (sqrt.f64 5) -3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (fma.f64 3/2 (sqrt.f64 5) -3/2)) (sqrt.f64 (fma.f64 3/2 (sqrt.f64 5) -3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (.f64 3/2 (sqrt.f64 5)) 3) -27/8) (+.f64 (pow.f64 (.f64 3/2 (sqrt.f64 5)) 2) (-.f64 9/4 (.f64 (.f64 3/2 (sqrt.f64 5)) -3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (.f64 3/2 (sqrt.f64 5)) 2) 9/4) (fma.f64 3/2 (sqrt.f64 5) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 3/2 (sqrt.f64 5) -3/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 3/2 (sqrt.f64 5) -3/2) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 3/2 (sqrt.f64 5) -3/2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 3/2 (sqrt.f64 5) -3/2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 3/2 (sqrt.f64 5) -3/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 3/2 (sqrt.f64 5) -3/2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 3/2 (sqrt.f64 5) -3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 3/2 (sqrt.f64 5) -3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 3/2 (sqrt.f64 5) -3/2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 3/2 (sqrt.f64 5) -3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 3/2 (sqrt.f64 5) -3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 3/2 (sqrt.f64 5) -3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 3/2 (sqrt.f64 5) -3/2)) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 9/2 (.f64 (sqrt.f64 5) -3/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (sqrt.f64 5) -3/2) 9/2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 (sqrt.f64 5) -3/2 9/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 (sqrt.f64 5) -3/2) 1) 9/2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 (sqrt.f64 5) -3/2 9/2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (sqrt.f64 5) -3/2 9/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (sqrt.f64 5) -3/2 9/2)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (sqrt.f64 5) -3/2 9/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (sqrt.f64 5) -3/2 9/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 (sqrt.f64 5) -3/2 9/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (fma.f64 (sqrt.f64 5) -3/2 9/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 (sqrt.f64 5) -3/2 9/2)) (pow.f64 (cbrt.f64 (fma.f64 (sqrt.f64 5) -3/2 9/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (fma.f64 (sqrt.f64 5) -3/2 9/2)) 2) (cbrt.f64 (fma.f64 (sqrt.f64 5) -3/2 9/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (fma.f64 (sqrt.f64 5) -3/2 9/2)) (sqrt.f64 (fma.f64 (sqrt.f64 5) -3/2 9/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (.f64 (sqrt.f64 5) -3/2) 3) 729/8) (+.f64 (pow.f64 (.f64 (sqrt.f64 5) -3/2) 2) (-.f64 81/4 (.f64 (.f64 (sqrt.f64 5) -3/2) 9/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (.f64 (sqrt.f64 5) -3/2) 2) 81/4) (fma.f64 (sqrt.f64 5) -3/2 -9/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (sqrt.f64 5) -3/2 9/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (sqrt.f64 5) -3/2 9/2) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (sqrt.f64 5) -3/2 9/2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (sqrt.f64 5) -3/2 9/2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (sqrt.f64 5) -3/2 9/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (sqrt.f64 5) -3/2 9/2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (sqrt.f64 5) -3/2 9/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 (sqrt.f64 5) -3/2 9/2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (sqrt.f64 5) -3/2 9/2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (sqrt.f64 5) -3/2 9/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (sqrt.f64 5) -3/2 9/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (sqrt.f64 5) -3/2 9/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 (sqrt.f64 5) -3/2 9/2)) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)) (fma.f64 -1/16 (sin.f64 x) (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 -1/16 (sin.f64 x)) (fma.f64 -1/16 (sin.f64 y) (sin.f64 x))) (.f64 (sin.f64 y) (fma.f64 -1/16 (sin.f64 y) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 -1/16 (sin.f64 y)) (fma.f64 -1/16 (sin.f64 x) (sin.f64 y))) (.f64 (sin.f64 x) (fma.f64 -1/16 (sin.f64 x) (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)) (.f64 -1/16 (sin.f64 x))) (.f64 (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)) (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (fma.f64 -1/16 (sin.f64 x) (sin.f64 y)) (.f64 -1/16 (sin.f64 y))) (.f64 (fma.f64 -1/16 (sin.f64 x) (sin.f64 y)) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 -1/16 (sin.f64 x) (sin.f64 y))) (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 -1/16 (sin.f64 x) (sin.f64 y))) (fma.f64 -1/16 (sin.f64 y) (sin.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 -1/16 (sin.f64 x) (sin.f64 y))) (fma.f64 -1/16 (sin.f64 y) (sin.f64 x))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 -1/16 (sin.f64 x) (sin.f64 y))) (fma.f64 -1/16 (sin.f64 y) (sin.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)) (fma.f64 -1/16 (sin.f64 x) (sin.f64 y))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)) (fma.f64 -1/16 (sin.f64 x) (sin.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)) (fma.f64 -1/16 (sin.f64 x) (sin.f64 y))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)) (fma.f64 -1/16 (sin.f64 x) (sin.f64 y))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)) (fma.f64 -1/16 (sin.f64 x) (sin.f64 y)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)) (fma.f64 -1/16 (sin.f64 x) (sin.f64 y)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)) (fma.f64 -1/16 (sin.f64 x) (sin.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (fma.f64 -1/16 (sin.f64 x) (sin.f64 y))) (fma.f64 -1/16 (sin.f64 y) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)) (fma.f64 -1/16 (sin.f64 x) (sin.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)) (fma.f64 -1/16 (sin.f64 x) (sin.f64 y))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)) (fma.f64 -1/16 (sin.f64 x) (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)) (.f64 -1/16 (sin.f64 x)) (.f64 (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)) (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 -1/16 (sin.f64 x) (sin.f64 y)) (.f64 -1/16 (sin.f64 y)) (.f64 (fma.f64 -1/16 (sin.f64 x) (sin.f64 y)) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 -1/16 (sin.f64 y)) (fma.f64 -1/16 (sin.f64 x) (sin.f64 y)) (.f64 (sin.f64 x) (fma.f64 -1/16 (sin.f64 x) (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 -1/16 (sin.f64 x)) (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)) (.f64 (sin.f64 y) (fma.f64 -1/16 (sin.f64 y) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)) (fma.f64 -1/16 (sin.f64 x) (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)) (fma.f64 -1/16 (sin.f64 x) (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (*.f64 (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)) (fma.f64 -1/16 (sin.f64 x) (sin.f64 y)))) 1))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 -3/2 (*.f64 3/2 (sqrt.f64 5)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 3/2 (sqrt.f64 5)) -3/2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 3/2 (sqrt.f64 5) -3/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 3/2 (sqrt.f64 5)) 1) -3/2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 3/2 (sqrt.f64 5) -3/2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 3/2 (sqrt.f64 5) -3/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 3/2 (sqrt.f64 5) -3/2)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 3/2 (sqrt.f64 5) -3/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 3/2 (sqrt.f64 5) -3/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 3/2 (sqrt.f64 5) -3/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 3/2 (sqrt.f64 5) -3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 3/2 (sqrt.f64 5) -3/2)) (cbrt.f64 (pow.f64 (fma.f64 3/2 (sqrt.f64 5) -3/2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 3/2 (sqrt.f64 5) -3/2) 2)) (cbrt.f64 (fma.f64 3/2 (sqrt.f64 5) -3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 3/2 (sqrt.f64 5) -3/2)) (sqrt.f64 (fma.f64 3/2 (sqrt.f64 5) -3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 3/2 (sqrt.f64 5)) 3) -27/8) (+.f64 (pow.f64 (*.f64 3/2 (sqrt.f64 5)) 2) (-.f64 9/4 (*.f64 (*.f64 3/2 (sqrt.f64 5)) -3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 3/2 (sqrt.f64 5)) 2) 9/4) (fma.f64 3/2 (sqrt.f64 5) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 3/2 (sqrt.f64 5) -3/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 3/2 (sqrt.f64 5) -3/2) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 3/2 (sqrt.f64 5) -3/2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 3/2 (sqrt.f64 5) -3/2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 3/2 (sqrt.f64 5) -3/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 3/2 (sqrt.f64 5) -3/2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 3/2 (sqrt.f64 5) -3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 3/2 (sqrt.f64 5) -3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 3/2 (sqrt.f64 5) -3/2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 3/2 (sqrt.f64 5) -3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 3/2 (sqrt.f64 5) -3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 3/2 (sqrt.f64 5) -3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 3/2 (sqrt.f64 5) -3/2)) 1))))))

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

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

simplify119.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1126×	`distribute-lft-out_binary64`
508×	`associate-+l+_binary64`
504×	`distribute-rgt-out_binary64`
449×	`distribute-rgt-in_binary64`
412×	`fma-def_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	49	494
1	162	486
2	500	484
3	2050	478
4	4321	478
5	5289	478
6	5764	478
7	6394	478
8	6746	478
9	6990	478

Stop Event

1×	node limit

Counts

103 → 95

Calls

Call 1

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

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

prune675.0ms (4.3%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	144	2	146
Fresh	2	9	11
Picked	1	0	1
Done	0	0	0
Total	147	11	158

Error

0.0b

Counts

158 → 11

Alt Table

Status	Error	Program
	0.5b	(/.f64 (fma.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)))) 2) (fma.f64 (cos.f64 x) (expm1.f64 (log1p.f64 (*.f64 (+.f64 (sqrt.f64 5) -1) 3/2))) (fma.f64 (cos.f64 y) (-.f64 9/2 (/.f64 (sqrt.f64 5) 2/3)) 3)))
	29.8b	(+.f64 (fma.f64 (.f64 y y) (fma.f64 1/2 (.f64 (/.f64 (fma.f64 (.f64 (sqrt.f64 2) (fma.f64 (cos.f64 x) -1/16 1/16)) (pow.f64 (sin.f64 x) 2) 2) (pow.f64 (fma.f64 (sqrt.f64 5) -3/2 (fma.f64 (cos.f64 x) (fma.f64 3/2 (sqrt.f64 5) -3/2) 15/2)) 2)) (fma.f64 (sqrt.f64 5) -3/2 9/2)) (.f64 (/.f64 (sqrt.f64 2) (fma.f64 (sqrt.f64 5) -3/2 (fma.f64 (cos.f64 x) (fma.f64 3/2 (sqrt.f64 5) -3/2) 15/2))) (fma.f64 (pow.f64 (sin.f64 x) 2) -1/32 (fma.f64 (cos.f64 x) -1/16 1/16)))) (fma.f64 (/.f64 (sqrt.f64 2) (fma.f64 (sqrt.f64 5) -3/2 (fma.f64 (cos.f64 x) (fma.f64 3/2 (sqrt.f64 5) -3/2) 15/2))) (.f64 y (.f64 (+.f64 (cos.f64 x) -1) (.f64 (sin.f64 x) 257/256))) (/.f64 2 (fma.f64 (sqrt.f64 5) -3/2 (fma.f64 (cos.f64 x) (fma.f64 3/2 (sqrt.f64 5) -3/2) 15/2))))) (/.f64 (.f64 (*.f64 (sqrt.f64 2) (fma.f64 (cos.f64 x) -1/16 1/16)) (pow.f64 (sin.f64 x) 2)) (fma.f64 (sqrt.f64 5) -3/2 (fma.f64 (cos.f64 x) (fma.f64 3/2 (sqrt.f64 5) -3/2) 15/2))))
	0.4b	(/.f64 (fma.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)))) 2) (fma.f64 (cos.f64 x) (.f64 (pow.f64 (cbrt.f64 (.f64 (+.f64 (sqrt.f64 5) -1) 3/2)) 2) (cbrt.f64 (*.f64 (+.f64 (sqrt.f64 5) -1) 3/2))) (fma.f64 (cos.f64 y) (-.f64 9/2 (/.f64 (sqrt.f64 5) 2/3)) 3)))
▶	0.4b	(/.f64 (fma.f64 (sqrt.f64 2) (.f64 (/.f64 1 (/.f64 (+.f64 (pow.f64 (cos.f64 x) 2) (+.f64 (pow.f64 (cos.f64 y) 2) (.f64 (cos.f64 x) (cos.f64 y)))) (-.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (cos.f64 y) 3)))) (*.f64 (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)) (fma.f64 -1/16 (sin.f64 x) (sin.f64 y)))) 2) (fma.f64 (cos.f64 y) (fma.f64 (sqrt.f64 5) -3/2 9/2) (fma.f64 (cos.f64 x) (fma.f64 3/2 (sqrt.f64 5) -3/2) 3)))
	0.4b	(pow.f64 (/.f64 (fma.f64 (cos.f64 x) (.f64 (+.f64 (sqrt.f64 5) -1) 3/2) (fma.f64 (cos.f64 y) (-.f64 9/2 (sqrt.f64 45/4)) 3)) (fma.f64 (sqrt.f64 2) (.f64 (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)) (*.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (fma.f64 (sin.f64 x) -1/16 (sin.f64 y)))) 2)) -1)
	0.8b	(.f64 (/.f64 (sqrt.f64 (fma.f64 (sqrt.f64 2) (.f64 (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (fma.f64 (sin.f64 x) -1/16 (sin.f64 y)))) 2)) 1) (/.f64 (sqrt.f64 (fma.f64 (sqrt.f64 2) (.f64 (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (fma.f64 (sin.f64 x) -1/16 (sin.f64 y)))) 2)) (fma.f64 (cos.f64 x) (.f64 (+.f64 (sqrt.f64 5) -1) 3/2) (fma.f64 (cos.f64 y) (-.f64 9/2 (sqrt.f64 45/4)) 3))))
	0.5b	(pow.f64 (sqrt.f64 (/.f64 (fma.f64 (sqrt.f64 2) (.f64 (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (fma.f64 (sin.f64 x) -1/16 (sin.f64 y)))) 2) (fma.f64 (cos.f64 x) (*.f64 (+.f64 (sqrt.f64 5) -1) 3/2) (fma.f64 (cos.f64 y) (-.f64 9/2 (sqrt.f64 45/4)) 3)))) 2)
	0.4b	(/.f64 (fma.f64 (sqrt.f64 2) (*.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (log.f64 (pow.f64 (exp.f64 (fma.f64 -1/16 (sin.f64 x) (sin.f64 y))) (fma.f64 -1/16 (sin.f64 y) (sin.f64 x))))) 2) (fma.f64 (cos.f64 y) (fma.f64 (sqrt.f64 5) -3/2 9/2) (fma.f64 (cos.f64 x) (fma.f64 3/2 (sqrt.f64 5) -3/2) 3)))
	1.3b	(pow.f64 (cbrt.f64 (/.f64 (fma.f64 (sqrt.f64 2) (.f64 (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (fma.f64 (sin.f64 x) -1/16 (sin.f64 y)))) 2) (fma.f64 (cos.f64 x) (*.f64 (+.f64 (sqrt.f64 5) -1) 3/2) (fma.f64 (cos.f64 y) (-.f64 9/2 (sqrt.f64 45/4)) 3)))) 3)
	0.5b	(expm1.f64 (log1p.f64 (/.f64 (fma.f64 (sqrt.f64 2) (.f64 (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (fma.f64 (sin.f64 x) -1/16 (sin.f64 y)))) 2) (fma.f64 (cos.f64 x) (*.f64 (+.f64 (sqrt.f64 5) -1) 3/2) (fma.f64 (cos.f64 y) (-.f64 9/2 (sqrt.f64 45/4)) 3)))))
	0.6b	(cbrt.f64 (/.f64 (pow.f64 (fma.f64 (sqrt.f64 2) (.f64 (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (fma.f64 (sin.f64 x) -1/16 (sin.f64 y)))) 2) 3) (pow.f64 (fma.f64 (cos.f64 x) (*.f64 (+.f64 (sqrt.f64 5) -1) 3/2) (fma.f64 (cos.f64 y) (-.f64 9/2 (sqrt.f64 45/4)) 3)) 3)))

Compiler

Compiled 8311 to 5315 computations (36% saved)

localize36.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.7b	(+.f64 (pow.f64 (cos.f64 y) 2) (*.f64 (cos.f64 x) (cos.f64 y)))
	1.0b	(fma.f64 (sqrt.f64 5) -3/2 9/2)
	1.0b	(fma.f64 3/2 (sqrt.f64 5) -3/2)
✓	1.3b	(-.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (cos.f64 y) 3))

series10.0ms (0.1%)

Counts

2 → 16

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	x	@	0	(-.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (cos.f64 y) 3))
1.0ms	y	@	inf	(-.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (cos.f64 y) 3))
1.0ms	x	@	inf	(-.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (cos.f64 y) 3))
1.0ms	y	@	-inf	(-.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (cos.f64 y) 3))
1.0ms	x	@	-inf	(-.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (cos.f64 y) 3))

rewrite74.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

662×	`fma-def_binary64`
644×	`log-prod_binary64`
325×	`fma-neg_binary64`
244×	`expm1-udef_binary64`
244×	`log1p-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	30
1	303	27
2	4007	27

Stop Event

1×	node limit

Counts

2 → 164

Calls

Call 1

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

Outputs

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

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

simplify44.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

668×	`unswap-sqr_binary64`
623×	`distribute-lft-out_binary64`
518×	`fma-neg_binary64`
446×	`fma-def_binary64`
383×	`+-commutative_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	87	398
1	236	384
2	686	366
3	2587	356
4	4531	356

Stop Event

1×	node limit

Counts

180 → 194

Calls

Call 1

Inputs
(-.f64 1 (pow.f64 (cos.f64 y) 3))
(-.f64 (+.f64 1 (*.f64 -3/2 (pow.f64 x 2))) (pow.f64 (cos.f64 y) 3))
(-.f64 (+.f64 1 (+.f64 (.f64 -3/2 (pow.f64 x 2)) (.f64 7/8 (pow.f64 x 4)))) (pow.f64 (cos.f64 y) 3))
(-.f64 (+.f64 1 (+.f64 (.f64 -61/240 (pow.f64 x 6)) (+.f64 (.f64 -3/2 (pow.f64 x 2)) (*.f64 7/8 (pow.f64 x 4))))) (pow.f64 (cos.f64 y) 3))
(-.f64 (pow.f64 (cos.f64 x) 3) 1)
(-.f64 (+.f64 (pow.f64 (cos.f64 x) 3) (*.f64 3/2 (pow.f64 y 2))) 1)
(-.f64 (+.f64 (pow.f64 (cos.f64 x) 3) (+.f64 (.f64 3/2 (pow.f64 y 2)) (.f64 -7/8 (pow.f64 y 4)))) 1)
(-.f64 (+.f64 (pow.f64 (cos.f64 x) 3) (+.f64 (.f64 3/2 (pow.f64 y 2)) (+.f64 (.f64 61/240 (pow.f64 y 6)) (*.f64 -7/8 (pow.f64 y 4))))) 1)
(+.f64 1 (cos.f64 x))
(+.f64 (.f64 (pow.f64 y 2) (-.f64 (.f64 -1/2 (cos.f64 x)) 1)) (+.f64 (cos.f64 x) 1))
(+.f64 (.f64 (pow.f64 y 2) (-.f64 (.f64 -1/2 (cos.f64 x)) 1)) (+.f64 (cos.f64 x) (+.f64 1 (.f64 (+.f64 1/3 (.f64 1/24 (cos.f64 x))) (pow.f64 y 4)))))
(+.f64 (.f64 (pow.f64 y 2) (-.f64 (.f64 -1/2 (cos.f64 x)) 1)) (+.f64 (cos.f64 x) (+.f64 1 (+.f64 (.f64 (-.f64 (.f64 -1/720 (cos.f64 x)) 2/45) (pow.f64 y 6)) (.f64 (+.f64 1/3 (.f64 1/24 (cos.f64 x))) (pow.f64 y 4))))))
(+.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y))
(+.f64 (.f64 -1/2 (.f64 (cos.f64 y) (pow.f64 x 2))) (+.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)))
(+.f64 (.f64 -1/2 (.f64 (cos.f64 y) (pow.f64 x 2))) (+.f64 (pow.f64 (cos.f64 y) 2) (+.f64 (cos.f64 y) (.f64 1/24 (.f64 (cos.f64 y) (pow.f64 x 4))))))
(+.f64 (.f64 -1/2 (.f64 (cos.f64 y) (pow.f64 x 2))) (+.f64 (.f64 -1/720 (.f64 (cos.f64 y) (pow.f64 x 6))) (+.f64 (pow.f64 (cos.f64 y) 2) (+.f64 (cos.f64 y) (.f64 1/24 (.f64 (cos.f64 y) (pow.f64 x 4)))))))

Outputs
(-.f64 1 (pow.f64 (cos.f64 y) 3))
(-.f64 (+.f64 1 (*.f64 -3/2 (pow.f64 x 2))) (pow.f64 (cos.f64 y) 3))
(+.f64 1 (-.f64 (.f64 -3/2 (.f64 x x)) (pow.f64 (cos.f64 y) 3)))
(-.f64 (fma.f64 -3/2 (*.f64 x x) 1) (pow.f64 (cos.f64 y) 3))
(-.f64 (fma.f64 x (*.f64 -3/2 x) 1) (pow.f64 (cos.f64 y) 3))
(-.f64 (+.f64 1 (+.f64 (.f64 -3/2 (pow.f64 x 2)) (.f64 7/8 (pow.f64 x 4)))) (pow.f64 (cos.f64 y) 3))
(+.f64 1 (-.f64 (fma.f64 -3/2 (.f64 x x) (.f64 7/8 (pow.f64 x 4))) (pow.f64 (cos.f64 y) 3)))
(-.f64 (fma.f64 -3/2 (*.f64 x x) (fma.f64 7/8 (pow.f64 x 4) 1)) (pow.f64 (cos.f64 y) 3))
(-.f64 (+.f64 1 (+.f64 (.f64 -61/240 (pow.f64 x 6)) (+.f64 (.f64 -3/2 (pow.f64 x 2)) (*.f64 7/8 (pow.f64 x 4))))) (pow.f64 (cos.f64 y) 3))
(+.f64 1 (-.f64 (fma.f64 -61/240 (pow.f64 x 6) (fma.f64 -3/2 (.f64 x x) (.f64 7/8 (pow.f64 x 4)))) (pow.f64 (cos.f64 y) 3)))
(-.f64 (fma.f64 -61/240 (pow.f64 x 6) (fma.f64 -3/2 (*.f64 x x) (fma.f64 7/8 (pow.f64 x 4) 1))) (pow.f64 (cos.f64 y) 3))
(-.f64 (pow.f64 (cos.f64 x) 3) 1)
(+.f64 (pow.f64 (cos.f64 x) 3) -1)
(-.f64 (+.f64 (pow.f64 (cos.f64 x) 3) (*.f64 3/2 (pow.f64 y 2))) 1)
(+.f64 (pow.f64 (cos.f64 x) 3) (-.f64 (.f64 3/2 (.f64 y y)) 1))
(+.f64 (pow.f64 (cos.f64 x) 3) (fma.f64 3/2 (*.f64 y y) -1))
(+.f64 (pow.f64 (cos.f64 x) 3) (fma.f64 y (*.f64 y 3/2) -1))
(+.f64 (fma.f64 y (*.f64 y 3/2) (pow.f64 (cos.f64 x) 3)) -1)
(-.f64 (+.f64 (pow.f64 (cos.f64 x) 3) (+.f64 (.f64 3/2 (pow.f64 y 2)) (.f64 -7/8 (pow.f64 y 4)))) 1)
(+.f64 (pow.f64 (cos.f64 x) 3) (-.f64 (fma.f64 3/2 (.f64 y y) (.f64 -7/8 (pow.f64 y 4))) 1))
(+.f64 (pow.f64 (cos.f64 x) 3) (+.f64 (.f64 -7/8 (pow.f64 y 4)) (fma.f64 3/2 (.f64 y y) -1)))
(+.f64 (pow.f64 (cos.f64 x) 3) (fma.f64 y (*.f64 y 3/2) (fma.f64 -7/8 (pow.f64 y 4) -1)))
(-.f64 (+.f64 (pow.f64 (cos.f64 x) 3) (+.f64 (.f64 3/2 (pow.f64 y 2)) (+.f64 (.f64 61/240 (pow.f64 y 6)) (*.f64 -7/8 (pow.f64 y 4))))) 1)
(+.f64 (pow.f64 (cos.f64 x) 3) (-.f64 (fma.f64 3/2 (.f64 y y) (fma.f64 61/240 (pow.f64 y 6) (.f64 -7/8 (pow.f64 y 4)))) 1))
(+.f64 (pow.f64 (cos.f64 x) 3) (+.f64 (fma.f64 -7/8 (pow.f64 y 4) (.f64 61/240 (pow.f64 y 6))) (fma.f64 3/2 (.f64 y y) -1)))
(+.f64 (pow.f64 (cos.f64 x) 3) (fma.f64 y (.f64 y 3/2) (+.f64 (.f64 61/240 (pow.f64 y 6)) (fma.f64 -7/8 (pow.f64 y 4) -1))))
(+.f64 (fma.f64 y (*.f64 y 3/2) (fma.f64 -7/8 (pow.f64 y 4) (pow.f64 (cos.f64 x) 3))) (fma.f64 61/240 (pow.f64 y 6) -1))
(+.f64 1 (cos.f64 x))
(+.f64 (.f64 (pow.f64 y 2) (-.f64 (.f64 -1/2 (cos.f64 x)) 1)) (+.f64 (cos.f64 x) 1))
(fma.f64 (*.f64 y y) (fma.f64 -1/2 (cos.f64 x) -1) (+.f64 1 (cos.f64 x)))
(fma.f64 (*.f64 y y) (fma.f64 (cos.f64 x) -1/2 -1) (+.f64 1 (cos.f64 x)))
(+.f64 (cos.f64 x) (fma.f64 (*.f64 y y) (fma.f64 (cos.f64 x) -1/2 -1) 1))
(+.f64 1 (fma.f64 y (*.f64 y (fma.f64 (cos.f64 x) -1/2 -1)) (cos.f64 x)))
(+.f64 (.f64 (pow.f64 y 2) (-.f64 (.f64 -1/2 (cos.f64 x)) 1)) (+.f64 (cos.f64 x) (+.f64 1 (.f64 (+.f64 1/3 (.f64 1/24 (cos.f64 x))) (pow.f64 y 4)))))
(fma.f64 (.f64 y y) (fma.f64 -1/2 (cos.f64 x) -1) (+.f64 (+.f64 1 (cos.f64 x)) (.f64 (pow.f64 y 4) (+.f64 1/3 (*.f64 (cos.f64 x) 1/24)))))
(fma.f64 (*.f64 y y) (fma.f64 (cos.f64 x) -1/2 -1) (+.f64 (cos.f64 x) (fma.f64 (pow.f64 y 4) (fma.f64 (cos.f64 x) 1/24 1/3) 1)))
(+.f64 (cos.f64 x) (fma.f64 (*.f64 y y) (fma.f64 (cos.f64 x) -1/2 -1) (fma.f64 (pow.f64 y 4) (fma.f64 (cos.f64 x) 1/24 1/3) 1)))
(+.f64 (fma.f64 (pow.f64 y 4) (fma.f64 (cos.f64 x) 1/24 1/3) 1) (fma.f64 y (*.f64 y (fma.f64 (cos.f64 x) -1/2 -1)) (cos.f64 x)))
(+.f64 (.f64 (pow.f64 y 2) (-.f64 (.f64 -1/2 (cos.f64 x)) 1)) (+.f64 (cos.f64 x) (+.f64 1 (+.f64 (.f64 (-.f64 (.f64 -1/720 (cos.f64 x)) 2/45) (pow.f64 y 6)) (.f64 (+.f64 1/3 (.f64 1/24 (cos.f64 x))) (pow.f64 y 4))))))
(fma.f64 (.f64 y y) (fma.f64 -1/2 (cos.f64 x) -1) (+.f64 (+.f64 1 (cos.f64 x)) (fma.f64 (fma.f64 -1/720 (cos.f64 x) -2/45) (pow.f64 y 6) (.f64 (pow.f64 y 4) (+.f64 1/3 (*.f64 (cos.f64 x) 1/24))))))
(+.f64 (fma.f64 (.f64 y y) (fma.f64 (cos.f64 x) -1/2 -1) (+.f64 1 (cos.f64 x))) (fma.f64 (pow.f64 y 4) (fma.f64 (cos.f64 x) 1/24 1/3) (.f64 (pow.f64 y 6) (fma.f64 (cos.f64 x) -1/720 -2/45))))
(+.f64 (cos.f64 x) (fma.f64 y (*.f64 y (fma.f64 (cos.f64 x) -1/2 -1)) (fma.f64 (pow.f64 y 4) (fma.f64 (cos.f64 x) 1/24 1/3) (fma.f64 (pow.f64 y 6) (fma.f64 (cos.f64 x) -1/720 -2/45) 1))))
(+.f64 (fma.f64 (pow.f64 y 4) (fma.f64 (cos.f64 x) 1/24 1/3) (fma.f64 (pow.f64 y 6) (fma.f64 (cos.f64 x) -1/720 -2/45) 1)) (fma.f64 y (*.f64 y (fma.f64 (cos.f64 x) -1/2 -1)) (cos.f64 x)))
(fma.f64 y (*.f64 y (fma.f64 (cos.f64 x) -1/2 -1)) (+.f64 (fma.f64 (pow.f64 y 6) (fma.f64 (cos.f64 x) -1/720 -2/45) 1) (fma.f64 (pow.f64 y 4) (fma.f64 (cos.f64 x) 1/24 1/3) (cos.f64 x))))
(+.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y))
(+.f64 (cos.f64 y) (pow.f64 (cos.f64 y) 2))
(+.f64 (.f64 -1/2 (.f64 (cos.f64 y) (pow.f64 x 2))) (+.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)))
(fma.f64 -1/2 (.f64 (cos.f64 y) (.f64 x x)) (+.f64 (cos.f64 y) (pow.f64 (cos.f64 y) 2)))
(fma.f64 (.f64 (cos.f64 y) -1/2) (.f64 x x) (+.f64 (cos.f64 y) (pow.f64 (cos.f64 y) 2)))
(.f64 (cos.f64 y) (+.f64 (.f64 (*.f64 x x) -1/2) (+.f64 1 (cos.f64 y))))
(.f64 (cos.f64 y) (+.f64 (+.f64 1 (cos.f64 y)) (.f64 x (*.f64 x -1/2))))
(+.f64 (.f64 -1/2 (.f64 (cos.f64 y) (pow.f64 x 2))) (+.f64 (pow.f64 (cos.f64 y) 2) (+.f64 (cos.f64 y) (.f64 1/24 (.f64 (cos.f64 y) (pow.f64 x 4))))))
(fma.f64 -1/2 (.f64 (cos.f64 y) (.f64 x x)) (+.f64 (+.f64 (cos.f64 y) (pow.f64 (cos.f64 y) 2)) (.f64 1/24 (.f64 (cos.f64 y) (pow.f64 x 4)))))
(+.f64 (fma.f64 1/24 (.f64 (cos.f64 y) (pow.f64 x 4)) (cos.f64 y)) (fma.f64 -1/2 (.f64 (cos.f64 y) (*.f64 x x)) (pow.f64 (cos.f64 y) 2)))
(fma.f64 (cos.f64 y) (.f64 (.f64 x x) -1/2) (.f64 (cos.f64 y) (+.f64 (+.f64 1 (cos.f64 y)) (.f64 (pow.f64 x 4) 1/24))))
(.f64 (cos.f64 y) (+.f64 (+.f64 1 (cos.f64 y)) (+.f64 (.f64 (pow.f64 x 4) 1/24) (.f64 x (.f64 x -1/2)))))
(+.f64 (.f64 -1/2 (.f64 (cos.f64 y) (pow.f64 x 2))) (+.f64 (.f64 -1/720 (.f64 (cos.f64 y) (pow.f64 x 6))) (+.f64 (pow.f64 (cos.f64 y) 2) (+.f64 (cos.f64 y) (.f64 1/24 (.f64 (cos.f64 y) (pow.f64 x 4)))))))
(fma.f64 -1/2 (.f64 (cos.f64 y) (.f64 x x)) (fma.f64 -1/720 (.f64 (cos.f64 y) (pow.f64 x 6)) (+.f64 (+.f64 (cos.f64 y) (pow.f64 (cos.f64 y) 2)) (.f64 1/24 (*.f64 (cos.f64 y) (pow.f64 x 4))))))
(fma.f64 -1/2 (.f64 (cos.f64 y) (.f64 x x)) (+.f64 (fma.f64 1/24 (.f64 (cos.f64 y) (pow.f64 x 4)) (cos.f64 y)) (fma.f64 -1/720 (.f64 (cos.f64 y) (pow.f64 x 6)) (pow.f64 (cos.f64 y) 2))))
(+.f64 (.f64 (cos.f64 y) (+.f64 (+.f64 1 (cos.f64 y)) (.f64 (pow.f64 x 4) 1/24))) (.f64 (cos.f64 y) (+.f64 (.f64 (.f64 x x) -1/2) (.f64 (pow.f64 x 6) -1/720))))
(.f64 (cos.f64 y) (+.f64 (+.f64 (+.f64 1 (cos.f64 y)) (.f64 (pow.f64 x 6) -1/720)) (+.f64 (.f64 (pow.f64 x 4) 1/24) (.f64 x (*.f64 x -1/2)))))

prune1.6s (10.3%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	248	0	248
Fresh	0	10	10
Picked	0	1	1
Done	0	0	0
Total	248	11	259

Error

0.0b

Counts

259 → 11

Alt Table

Status	Error	Program
	0.5b	(/.f64 (fma.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)))) 2) (fma.f64 (cos.f64 x) (expm1.f64 (log1p.f64 (*.f64 (+.f64 (sqrt.f64 5) -1) 3/2))) (fma.f64 (cos.f64 y) (-.f64 9/2 (/.f64 (sqrt.f64 5) 2/3)) 3)))
	29.8b	(+.f64 (fma.f64 (.f64 y y) (fma.f64 1/2 (.f64 (/.f64 (fma.f64 (.f64 (sqrt.f64 2) (fma.f64 (cos.f64 x) -1/16 1/16)) (pow.f64 (sin.f64 x) 2) 2) (pow.f64 (fma.f64 (sqrt.f64 5) -3/2 (fma.f64 (cos.f64 x) (fma.f64 3/2 (sqrt.f64 5) -3/2) 15/2)) 2)) (fma.f64 (sqrt.f64 5) -3/2 9/2)) (.f64 (/.f64 (sqrt.f64 2) (fma.f64 (sqrt.f64 5) -3/2 (fma.f64 (cos.f64 x) (fma.f64 3/2 (sqrt.f64 5) -3/2) 15/2))) (fma.f64 (pow.f64 (sin.f64 x) 2) -1/32 (fma.f64 (cos.f64 x) -1/16 1/16)))) (fma.f64 (/.f64 (sqrt.f64 2) (fma.f64 (sqrt.f64 5) -3/2 (fma.f64 (cos.f64 x) (fma.f64 3/2 (sqrt.f64 5) -3/2) 15/2))) (.f64 y (.f64 (+.f64 (cos.f64 x) -1) (.f64 (sin.f64 x) 257/256))) (/.f64 2 (fma.f64 (sqrt.f64 5) -3/2 (fma.f64 (cos.f64 x) (fma.f64 3/2 (sqrt.f64 5) -3/2) 15/2))))) (/.f64 (.f64 (*.f64 (sqrt.f64 2) (fma.f64 (cos.f64 x) -1/16 1/16)) (pow.f64 (sin.f64 x) 2)) (fma.f64 (sqrt.f64 5) -3/2 (fma.f64 (cos.f64 x) (fma.f64 3/2 (sqrt.f64 5) -3/2) 15/2))))
	0.4b	(/.f64 (fma.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)))) 2) (fma.f64 (cos.f64 x) (.f64 (pow.f64 (cbrt.f64 (.f64 (+.f64 (sqrt.f64 5) -1) 3/2)) 2) (cbrt.f64 (*.f64 (+.f64 (sqrt.f64 5) -1) 3/2))) (fma.f64 (cos.f64 y) (-.f64 9/2 (/.f64 (sqrt.f64 5) 2/3)) 3)))
✓	0.4b	(/.f64 (fma.f64 (sqrt.f64 2) (.f64 (/.f64 1 (/.f64 (+.f64 (pow.f64 (cos.f64 x) 2) (+.f64 (pow.f64 (cos.f64 y) 2) (.f64 (cos.f64 x) (cos.f64 y)))) (-.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (cos.f64 y) 3)))) (*.f64 (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)) (fma.f64 -1/16 (sin.f64 x) (sin.f64 y)))) 2) (fma.f64 (cos.f64 y) (fma.f64 (sqrt.f64 5) -3/2 9/2) (fma.f64 (cos.f64 x) (fma.f64 3/2 (sqrt.f64 5) -3/2) 3)))
	0.4b	(pow.f64 (/.f64 (fma.f64 (cos.f64 x) (.f64 (+.f64 (sqrt.f64 5) -1) 3/2) (fma.f64 (cos.f64 y) (-.f64 9/2 (sqrt.f64 45/4)) 3)) (fma.f64 (sqrt.f64 2) (.f64 (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)) (*.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (fma.f64 (sin.f64 x) -1/16 (sin.f64 y)))) 2)) -1)
	0.8b	(.f64 (/.f64 (sqrt.f64 (fma.f64 (sqrt.f64 2) (.f64 (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (fma.f64 (sin.f64 x) -1/16 (sin.f64 y)))) 2)) 1) (/.f64 (sqrt.f64 (fma.f64 (sqrt.f64 2) (.f64 (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (fma.f64 (sin.f64 x) -1/16 (sin.f64 y)))) 2)) (fma.f64 (cos.f64 x) (.f64 (+.f64 (sqrt.f64 5) -1) 3/2) (fma.f64 (cos.f64 y) (-.f64 9/2 (sqrt.f64 45/4)) 3))))
	0.5b	(pow.f64 (sqrt.f64 (/.f64 (fma.f64 (sqrt.f64 2) (.f64 (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (fma.f64 (sin.f64 x) -1/16 (sin.f64 y)))) 2) (fma.f64 (cos.f64 x) (*.f64 (+.f64 (sqrt.f64 5) -1) 3/2) (fma.f64 (cos.f64 y) (-.f64 9/2 (sqrt.f64 45/4)) 3)))) 2)
▶	0.4b	(/.f64 (fma.f64 (sqrt.f64 2) (*.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (log.f64 (pow.f64 (exp.f64 (fma.f64 -1/16 (sin.f64 x) (sin.f64 y))) (fma.f64 -1/16 (sin.f64 y) (sin.f64 x))))) 2) (fma.f64 (cos.f64 y) (fma.f64 (sqrt.f64 5) -3/2 9/2) (fma.f64 (cos.f64 x) (fma.f64 3/2 (sqrt.f64 5) -3/2) 3)))
	1.3b	(pow.f64 (cbrt.f64 (/.f64 (fma.f64 (sqrt.f64 2) (.f64 (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (fma.f64 (sin.f64 x) -1/16 (sin.f64 y)))) 2) (fma.f64 (cos.f64 x) (*.f64 (+.f64 (sqrt.f64 5) -1) 3/2) (fma.f64 (cos.f64 y) (-.f64 9/2 (sqrt.f64 45/4)) 3)))) 3)
	0.5b	(expm1.f64 (log1p.f64 (/.f64 (fma.f64 (sqrt.f64 2) (.f64 (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (fma.f64 (sin.f64 x) -1/16 (sin.f64 y)))) 2) (fma.f64 (cos.f64 x) (*.f64 (+.f64 (sqrt.f64 5) -1) 3/2) (fma.f64 (cos.f64 y) (-.f64 9/2 (sqrt.f64 45/4)) 3)))))
	0.6b	(cbrt.f64 (/.f64 (pow.f64 (fma.f64 (sqrt.f64 2) (.f64 (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (fma.f64 (sin.f64 x) -1/16 (sin.f64 y)))) 2) 3) (pow.f64 (fma.f64 (cos.f64 x) (*.f64 (+.f64 (sqrt.f64 5) -1) 3/2) (fma.f64 (cos.f64 y) (-.f64 9/2 (sqrt.f64 45/4)) 3)) 3)))

Compiler

Compiled 18843 to 11694 computations (37.9% saved)

localize31.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	1.0b	(fma.f64 (sqrt.f64 5) -3/2 9/2)
	1.0b	(fma.f64 3/2 (sqrt.f64 5) -3/2)
	1.5b	(-.f64 (cos.f64 x) (cos.f64 y))
✓	3.1b	(log.f64 (pow.f64 (exp.f64 (fma.f64 -1/16 (sin.f64 x) (sin.f64 y))) (fma.f64 -1/16 (sin.f64 y) (sin.f64 x))))

series229.0ms (1.5%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
70.0ms	x	@	-inf	(log.f64 (pow.f64 (exp.f64 (fma.f64 -1/16 (sin.f64 x) (sin.f64 y))) (fma.f64 -1/16 (sin.f64 y) (sin.f64 x))))
69.0ms	x	@	inf	(log.f64 (pow.f64 (exp.f64 (fma.f64 -1/16 (sin.f64 x) (sin.f64 y))) (fma.f64 -1/16 (sin.f64 y) (sin.f64 x))))
43.0ms	y	@	-inf	(log.f64 (pow.f64 (exp.f64 (fma.f64 -1/16 (sin.f64 x) (sin.f64 y))) (fma.f64 -1/16 (sin.f64 y) (sin.f64 x))))
41.0ms	y	@	inf	(log.f64 (pow.f64 (exp.f64 (fma.f64 -1/16 (sin.f64 x) (sin.f64 y))) (fma.f64 -1/16 (sin.f64 y) (sin.f64 x))))
3.0ms	y	@	0	(log.f64 (pow.f64 (exp.f64 (fma.f64 -1/16 (sin.f64 x) (sin.f64 y))) (fma.f64 -1/16 (sin.f64 y) (sin.f64 x))))

rewrite67.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

490×	`log-prod_binary64`
394×	`exp-prod_binary64`
309×	`pow-prod-down_binary64`
283×	`pow2_binary64`
260×	`pow-pow_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	20
1	218	20
2	2560	20

Stop Event

1×	node limit

Counts

1 → 57

Calls

Call 1

Inputs
(log.f64 (pow.f64 (exp.f64 (fma.f64 -1/16 (sin.f64 x) (sin.f64 y))) (fma.f64 -1/16 (sin.f64 y) (sin.f64 x))))

Outputs

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

simplify57.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

814×	`fma-def_binary64`
655×	`associate-l_binary64`
615×	`associate-r_binary64`
502×	`distribute-rgt-in_binary64`
500×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	95	754
1	328	744
2	1281	698
3	7347	675

Stop Event

1×	node limit

Counts

81 → 72

Calls

Call 1

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

Outputs
(*.f64 -1/16 (pow.f64 (sin.f64 y) 2))
(+.f64 (.f64 (+.f64 (.f64 1/256 (sin.f64 y)) (sin.f64 y)) x) (*.f64 -1/16 (pow.f64 (sin.f64 y) 2)))
(fma.f64 (.f64 257/256 (sin.f64 y)) x (.f64 -1/16 (pow.f64 (sin.f64 y) 2)))
(fma.f64 -1/16 (pow.f64 (sin.f64 y) 2) (.f64 (.f64 (sin.f64 y) 257/256) x))
(.f64 (sin.f64 y) (+.f64 (.f64 -1/16 (sin.f64 y)) (*.f64 x 257/256)))
(+.f64 (.f64 (+.f64 (.f64 1/256 (sin.f64 y)) (sin.f64 y)) x) (+.f64 (.f64 1/2 (.f64 (+.f64 (.f64 2 (-.f64 (.f64 1/2 (pow.f64 (+.f64 (.f64 1/256 (sin.f64 y)) (sin.f64 y)) 2)) 1/16)) (.f64 -1 (pow.f64 (+.f64 (.f64 1/256 (sin.f64 y)) (sin.f64 y)) 2))) (pow.f64 x 2))) (.f64 -1/16 (pow.f64 (sin.f64 y) 2))))
(fma.f64 (.f64 257/256 (sin.f64 y)) x (fma.f64 1/2 (.f64 (fma.f64 2 (fma.f64 1/2 (pow.f64 (.f64 257/256 (sin.f64 y)) 2) -1/16) (neg.f64 (pow.f64 (.f64 257/256 (sin.f64 y)) 2))) (.f64 x x)) (.f64 -1/16 (pow.f64 (sin.f64 y) 2))))
(fma.f64 (.f64 (sin.f64 y) 257/256) x (fma.f64 1/2 (.f64 (fma.f64 2 (fma.f64 1/2 (.f64 66049/65536 (pow.f64 (sin.f64 y) 2)) -1/16) (neg.f64 (.f64 66049/65536 (pow.f64 (sin.f64 y) 2)))) (.f64 x x)) (.f64 -1/16 (pow.f64 (sin.f64 y) 2))))
(fma.f64 1/2 (.f64 (fma.f64 2 (+.f64 -1/16 (.f64 66049/131072 (pow.f64 (sin.f64 y) 2))) (.f64 -66049/65536 (pow.f64 (sin.f64 y) 2))) (.f64 x x)) (.f64 (sin.f64 y) (+.f64 (.f64 -1/16 (sin.f64 y)) (*.f64 x 257/256))))
(fma.f64 (.f64 x x) (-.f64 (fma.f64 66049/131072 (pow.f64 (sin.f64 y) 2) -1/16) (.f64 66049/131072 (pow.f64 (sin.f64 y) 2))) (.f64 (sin.f64 y) (+.f64 (.f64 -1/16 (sin.f64 y)) (*.f64 x 257/256))))
(+.f64 (.f64 (+.f64 (.f64 1/256 (sin.f64 y)) (sin.f64 y)) x) (+.f64 (.f64 1/2 (.f64 (+.f64 (.f64 2 (-.f64 (.f64 1/2 (pow.f64 (+.f64 (.f64 1/256 (sin.f64 y)) (sin.f64 y)) 2)) 1/16)) (.f64 -1 (pow.f64 (+.f64 (.f64 1/256 (sin.f64 y)) (sin.f64 y)) 2))) (pow.f64 x 2))) (+.f64 (.f64 1/6 (.f64 (+.f64 (.f64 -6 (.f64 (-.f64 (.f64 1/2 (pow.f64 (+.f64 (.f64 1/256 (sin.f64 y)) (sin.f64 y)) 2)) 1/16) (+.f64 (.f64 1/256 (sin.f64 y)) (sin.f64 y)))) (+.f64 (.f64 6 (+.f64 (.f64 -1/16 (+.f64 (.f64 1/256 (sin.f64 y)) (sin.f64 y))) (+.f64 (.f64 -1/1536 (sin.f64 y)) (+.f64 (.f64 1/6 (pow.f64 (+.f64 (.f64 1/256 (sin.f64 y)) (sin.f64 y)) 3)) (.f64 -1/6 (sin.f64 y)))))) (.f64 2 (pow.f64 (+.f64 (.f64 1/256 (sin.f64 y)) (sin.f64 y)) 3)))) (pow.f64 x 3))) (.f64 -1/16 (pow.f64 (sin.f64 y) 2)))))
(fma.f64 (.f64 257/256 (sin.f64 y)) x (fma.f64 1/2 (.f64 (fma.f64 2 (fma.f64 1/2 (pow.f64 (.f64 257/256 (sin.f64 y)) 2) -1/16) (neg.f64 (pow.f64 (.f64 257/256 (sin.f64 y)) 2))) (.f64 x x)) (fma.f64 1/6 (.f64 (fma.f64 -6 (.f64 (.f64 257/256 (sin.f64 y)) (fma.f64 1/2 (pow.f64 (.f64 257/256 (sin.f64 y)) 2) -1/16)) (fma.f64 6 (fma.f64 -1/16 (.f64 257/256 (sin.f64 y)) (fma.f64 -1/1536 (sin.f64 y) (fma.f64 1/6 (pow.f64 (.f64 257/256 (sin.f64 y)) 3) (.f64 (sin.f64 y) -1/6)))) (.f64 2 (pow.f64 (.f64 257/256 (sin.f64 y)) 3)))) (pow.f64 x 3)) (*.f64 -1/16 (pow.f64 (sin.f64 y) 2)))))
(fma.f64 (.f64 (sin.f64 y) 257/256) x (fma.f64 1/2 (.f64 (fma.f64 2 (fma.f64 1/2 (.f64 66049/65536 (pow.f64 (sin.f64 y) 2)) -1/16) (neg.f64 (.f64 66049/65536 (pow.f64 (sin.f64 y) 2)))) (.f64 x x)) (fma.f64 1/6 (.f64 (fma.f64 -6 (.f64 (.f64 (sin.f64 y) 257/256) (fma.f64 1/2 (.f64 66049/65536 (pow.f64 (sin.f64 y) 2)) -1/16)) (fma.f64 2 (.f64 16974593/16777216 (pow.f64 (sin.f64 y) 3)) (.f64 6 (+.f64 (.f64 -257/4096 (sin.f64 y)) (fma.f64 (sin.f64 y) -1/1536 (fma.f64 1/6 (.f64 16974593/16777216 (pow.f64 (sin.f64 y) 3)) (.f64 (sin.f64 y) -1/6))))))) (pow.f64 x 3)) (*.f64 -1/16 (pow.f64 (sin.f64 y) 2)))))
(fma.f64 (.f64 (sin.f64 y) 257/256) x (fma.f64 -1/16 (pow.f64 (sin.f64 y) 2) (.f64 (.f64 x x) (+.f64 (.f64 1/2 (fma.f64 2 (+.f64 -1/16 (.f64 66049/131072 (pow.f64 (sin.f64 y) 2))) (.f64 -66049/65536 (pow.f64 (sin.f64 y) 2)))) (.f64 x (.f64 1/6 (fma.f64 6 (+.f64 (fma.f64 (sin.f64 y) -1/6 (.f64 16974593/100663296 (pow.f64 (sin.f64 y) 3))) (.f64 (sin.f64 y) -779/12288)) (fma.f64 (+.f64 -1/16 (.f64 66049/131072 (pow.f64 (sin.f64 y) 2))) (.f64 (sin.f64 y) -771/128) (*.f64 16974593/8388608 (pow.f64 (sin.f64 y) 3))))))))))
(fma.f64 (.f64 (sin.f64 y) 257/256) x (fma.f64 -1/16 (pow.f64 (sin.f64 y) 2) (.f64 (.f64 x x) (+.f64 (-.f64 (fma.f64 66049/131072 (pow.f64 (sin.f64 y) 2) -1/16) (.f64 66049/131072 (pow.f64 (sin.f64 y) 2))) (.f64 x (.f64 1/6 (fma.f64 6 (+.f64 (fma.f64 (sin.f64 y) -1/6 (.f64 16974593/100663296 (pow.f64 (sin.f64 y) 3))) (.f64 (sin.f64 y) -779/12288)) (fma.f64 (fma.f64 66049/131072 (pow.f64 (sin.f64 y) 2) -1/16) (.f64 (sin.f64 y) -771/128) (.f64 16974593/8388608 (pow.f64 (sin.f64 y) 3))))))))))
(.f64 (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x)) (+.f64 (*.f64 -1/16 (sin.f64 x)) (sin.f64 y)))
(*.f64 (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)) (fma.f64 -1/16 (sin.f64 x) (sin.f64 y)))
(.f64 (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x)) (+.f64 (*.f64 -1/16 (sin.f64 x)) (sin.f64 y)))
(*.f64 (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)) (fma.f64 -1/16 (sin.f64 x) (sin.f64 y)))
(.f64 (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x)) (+.f64 (*.f64 -1/16 (sin.f64 x)) (sin.f64 y)))
(*.f64 (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)) (fma.f64 -1/16 (sin.f64 x) (sin.f64 y)))
(.f64 (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x)) (+.f64 (*.f64 -1/16 (sin.f64 x)) (sin.f64 y)))
(*.f64 (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)) (fma.f64 -1/16 (sin.f64 x) (sin.f64 y)))
(.f64 (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x)) (+.f64 (*.f64 -1/16 (sin.f64 x)) (sin.f64 y)))
(*.f64 (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)) (fma.f64 -1/16 (sin.f64 x) (sin.f64 y)))
(.f64 (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x)) (+.f64 (*.f64 -1/16 (sin.f64 x)) (sin.f64 y)))
(*.f64 (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)) (fma.f64 -1/16 (sin.f64 x) (sin.f64 y)))
(.f64 (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x)) (+.f64 (*.f64 -1/16 (sin.f64 x)) (sin.f64 y)))
(*.f64 (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)) (fma.f64 -1/16 (sin.f64 x) (sin.f64 y)))
(.f64 (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x)) (+.f64 (*.f64 -1/16 (sin.f64 x)) (sin.f64 y)))
(*.f64 (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)) (fma.f64 -1/16 (sin.f64 x) (sin.f64 y)))
(*.f64 -1/16 (pow.f64 (sin.f64 x) 2))
(+.f64 (.f64 y (+.f64 (.f64 1/256 (sin.f64 x)) (sin.f64 x))) (*.f64 -1/16 (pow.f64 (sin.f64 x) 2)))
(fma.f64 y (.f64 257/256 (sin.f64 x)) (.f64 -1/16 (pow.f64 (sin.f64 x) 2)))
(fma.f64 -1/16 (pow.f64 (sin.f64 x) 2) (.f64 y (.f64 (sin.f64 x) 257/256)))
(.f64 (sin.f64 x) (+.f64 (.f64 -1/16 (sin.f64 x)) (*.f64 y 257/256)))
(+.f64 (.f64 y (+.f64 (.f64 1/256 (sin.f64 x)) (sin.f64 x))) (+.f64 (.f64 1/2 (.f64 (pow.f64 y 2) (+.f64 (.f64 -1 (pow.f64 (+.f64 (.f64 1/256 (sin.f64 x)) (sin.f64 x)) 2)) (.f64 2 (-.f64 (.f64 1/2 (pow.f64 (+.f64 (.f64 1/256 (sin.f64 x)) (sin.f64 x)) 2)) 1/16))))) (.f64 -1/16 (pow.f64 (sin.f64 x) 2))))
(fma.f64 y (.f64 257/256 (sin.f64 x)) (fma.f64 1/2 (.f64 (fma.f64 -1 (pow.f64 (.f64 257/256 (sin.f64 x)) 2) (.f64 2 (fma.f64 1/2 (pow.f64 (.f64 257/256 (sin.f64 x)) 2) -1/16))) (.f64 y y)) (*.f64 -1/16 (pow.f64 (sin.f64 x) 2))))
(fma.f64 y (.f64 (sin.f64 x) 257/256) (fma.f64 -1/16 (pow.f64 (sin.f64 x) 2) (.f64 (fma.f64 2 (fma.f64 1/2 (.f64 66049/65536 (pow.f64 (sin.f64 x) 2)) -1/16) (neg.f64 (.f64 66049/65536 (pow.f64 (sin.f64 x) 2)))) (.f64 1/2 (.f64 y y)))))
(fma.f64 (+.f64 (.f64 -66049/65536 (pow.f64 (sin.f64 x) 2)) (fma.f64 2 (.f64 66049/131072 (pow.f64 (sin.f64 x) 2)) -1/8)) (.f64 1/2 (.f64 y y)) (.f64 (sin.f64 x) (+.f64 (.f64 -1/16 (sin.f64 x)) (*.f64 y 257/256))))
(fma.f64 (fma.f64 2 (fma.f64 66049/131072 (pow.f64 (sin.f64 x) 2) -1/16) (.f64 -66049/65536 (pow.f64 (sin.f64 x) 2))) (.f64 1/2 (.f64 y y)) (.f64 (sin.f64 x) (+.f64 (.f64 -1/16 (sin.f64 x)) (.f64 y 257/256))))
(+.f64 (.f64 y (+.f64 (.f64 1/256 (sin.f64 x)) (sin.f64 x))) (+.f64 (.f64 1/6 (.f64 (+.f64 (.f64 6 (+.f64 (.f64 -1/1536 (sin.f64 x)) (+.f64 (.f64 -1/6 (sin.f64 x)) (+.f64 (.f64 -1/16 (+.f64 (.f64 1/256 (sin.f64 x)) (sin.f64 x))) (.f64 1/6 (pow.f64 (+.f64 (.f64 1/256 (sin.f64 x)) (sin.f64 x)) 3)))))) (+.f64 (.f64 -6 (.f64 (-.f64 (.f64 1/2 (pow.f64 (+.f64 (.f64 1/256 (sin.f64 x)) (sin.f64 x)) 2)) 1/16) (+.f64 (.f64 1/256 (sin.f64 x)) (sin.f64 x)))) (.f64 2 (pow.f64 (+.f64 (.f64 1/256 (sin.f64 x)) (sin.f64 x)) 3)))) (pow.f64 y 3))) (+.f64 (.f64 1/2 (.f64 (pow.f64 y 2) (+.f64 (.f64 -1 (pow.f64 (+.f64 (.f64 1/256 (sin.f64 x)) (sin.f64 x)) 2)) (.f64 2 (-.f64 (.f64 1/2 (pow.f64 (+.f64 (.f64 1/256 (sin.f64 x)) (sin.f64 x)) 2)) 1/16))))) (.f64 -1/16 (pow.f64 (sin.f64 x) 2)))))
(fma.f64 y (.f64 257/256 (sin.f64 x)) (fma.f64 1/6 (.f64 (fma.f64 6 (fma.f64 -1/1536 (sin.f64 x) (fma.f64 -1/6 (sin.f64 x) (fma.f64 -1/16 (.f64 257/256 (sin.f64 x)) (.f64 1/6 (pow.f64 (.f64 257/256 (sin.f64 x)) 3))))) (fma.f64 -6 (.f64 (.f64 257/256 (sin.f64 x)) (fma.f64 1/2 (pow.f64 (.f64 257/256 (sin.f64 x)) 2) -1/16)) (.f64 2 (pow.f64 (.f64 257/256 (sin.f64 x)) 3)))) (pow.f64 y 3)) (fma.f64 1/2 (.f64 (fma.f64 -1 (pow.f64 (.f64 257/256 (sin.f64 x)) 2) (.f64 2 (fma.f64 1/2 (pow.f64 (.f64 257/256 (sin.f64 x)) 2) -1/16))) (.f64 y y)) (.f64 -1/16 (pow.f64 (sin.f64 x) 2)))))
(fma.f64 y (.f64 (sin.f64 x) 257/256) (fma.f64 1/6 (.f64 (fma.f64 6 (+.f64 (fma.f64 1/6 (.f64 16974593/16777216 (pow.f64 (sin.f64 x) 3)) (.f64 -257/4096 (sin.f64 x))) (.f64 (sin.f64 x) -257/1536)) (fma.f64 2 (.f64 16974593/16777216 (pow.f64 (sin.f64 x) 3)) (.f64 -6 (.f64 (.f64 (sin.f64 x) 257/256) (fma.f64 1/2 (.f64 66049/65536 (pow.f64 (sin.f64 x) 2)) -1/16))))) (pow.f64 y 3)) (fma.f64 -1/16 (pow.f64 (sin.f64 x) 2) (.f64 (fma.f64 2 (fma.f64 1/2 (.f64 66049/65536 (pow.f64 (sin.f64 x) 2)) -1/16) (neg.f64 (.f64 66049/65536 (pow.f64 (sin.f64 x) 2)))) (.f64 1/2 (*.f64 y y))))))
(fma.f64 1/6 (.f64 (fma.f64 6 (fma.f64 (sin.f64 x) -257/1536 (fma.f64 -257/4096 (sin.f64 x) (.f64 16974593/100663296 (pow.f64 (sin.f64 x) 3)))) (fma.f64 (+.f64 -1/16 (.f64 66049/131072 (pow.f64 (sin.f64 x) 2))) (.f64 (sin.f64 x) -771/128) (.f64 16974593/8388608 (pow.f64 (sin.f64 x) 3)))) (pow.f64 y 3)) (fma.f64 (+.f64 (.f64 -66049/65536 (pow.f64 (sin.f64 x) 2)) (fma.f64 2 (.f64 66049/131072 (pow.f64 (sin.f64 x) 2)) -1/8)) (.f64 1/2 (.f64 y y)) (.f64 (sin.f64 x) (+.f64 (.f64 -1/16 (sin.f64 x)) (.f64 y 257/256)))))
(fma.f64 (pow.f64 y 3) (fma.f64 1/6 (fma.f64 (fma.f64 66049/131072 (pow.f64 (sin.f64 x) 2) -1/16) (.f64 (sin.f64 x) -771/128) (.f64 16974593/8388608 (pow.f64 (sin.f64 x) 3))) (fma.f64 (sin.f64 x) -257/1536 (fma.f64 -257/4096 (sin.f64 x) (.f64 16974593/100663296 (pow.f64 (sin.f64 x) 3))))) (fma.f64 (fma.f64 2 (fma.f64 66049/131072 (pow.f64 (sin.f64 x) 2) -1/16) (.f64 -66049/65536 (pow.f64 (sin.f64 x) 2))) (.f64 1/2 (.f64 y y)) (.f64 (sin.f64 x) (+.f64 (.f64 -1/16 (sin.f64 x)) (*.f64 y 257/256)))))
(.f64 (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x)) (+.f64 (*.f64 -1/16 (sin.f64 x)) (sin.f64 y)))
(*.f64 (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)) (fma.f64 -1/16 (sin.f64 x) (sin.f64 y)))
(.f64 (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x)) (+.f64 (*.f64 -1/16 (sin.f64 x)) (sin.f64 y)))
(*.f64 (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)) (fma.f64 -1/16 (sin.f64 x) (sin.f64 y)))
(.f64 (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x)) (+.f64 (*.f64 -1/16 (sin.f64 x)) (sin.f64 y)))
(*.f64 (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)) (fma.f64 -1/16 (sin.f64 x) (sin.f64 y)))
(.f64 (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x)) (+.f64 (*.f64 -1/16 (sin.f64 x)) (sin.f64 y)))
(*.f64 (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)) (fma.f64 -1/16 (sin.f64 x) (sin.f64 y)))
(.f64 (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x)) (+.f64 (*.f64 -1/16 (sin.f64 x)) (sin.f64 y)))
(*.f64 (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)) (fma.f64 -1/16 (sin.f64 x) (sin.f64 y)))
(.f64 (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x)) (+.f64 (*.f64 -1/16 (sin.f64 x)) (sin.f64 y)))
(*.f64 (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)) (fma.f64 -1/16 (sin.f64 x) (sin.f64 y)))
(.f64 (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x)) (+.f64 (*.f64 -1/16 (sin.f64 x)) (sin.f64 y)))
(*.f64 (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)) (fma.f64 -1/16 (sin.f64 x) (sin.f64 y)))
(.f64 (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x)) (+.f64 (*.f64 -1/16 (sin.f64 x)) (sin.f64 y)))
(*.f64 (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)) (fma.f64 -1/16 (sin.f64 x) (sin.f64 y)))

prune708.0ms (4.5%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	176	1	177
Fresh	1	8	9
Picked	0	1	1
Done	0	1	1
Total	177	11	188

Error

0.0b

Counts

188 → 11

Alt Table

Status	Error	Program
	0.4b	(/.f64 (fma.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)))) 2) (fma.f64 (cos.f64 x) (.f64 (pow.f64 (cbrt.f64 (.f64 (+.f64 (sqrt.f64 5) -1) 3/2)) 2) (cbrt.f64 (*.f64 (+.f64 (sqrt.f64 5) -1) 3/2))) (fma.f64 (cos.f64 y) (-.f64 9/2 (/.f64 (sqrt.f64 5) 2/3)) 3)))
✓	0.4b	(/.f64 (fma.f64 (sqrt.f64 2) (.f64 (/.f64 1 (/.f64 (+.f64 (pow.f64 (cos.f64 x) 2) (+.f64 (pow.f64 (cos.f64 y) 2) (.f64 (cos.f64 x) (cos.f64 y)))) (-.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (cos.f64 y) 3)))) (*.f64 (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)) (fma.f64 -1/16 (sin.f64 x) (sin.f64 y)))) 2) (fma.f64 (cos.f64 y) (fma.f64 (sqrt.f64 5) -3/2 9/2) (fma.f64 (cos.f64 x) (fma.f64 3/2 (sqrt.f64 5) -3/2) 3)))
	0.5b	(/.f64 (fma.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 -1/16 (sin.f64 x) (sin.f64 y)))) (.f64 2 (fma.f64 -1/16 (sin.f64 y) (sin.f64 x))))) (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 -1/16 (sin.f64 x) (sin.f64 y)))) (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)))))) 2) (fma.f64 (cos.f64 y) (fma.f64 (sqrt.f64 5) -3/2 9/2) (fma.f64 (cos.f64 x) (fma.f64 3/2 (sqrt.f64 5) -3/2) 3)))
	0.4b	(pow.f64 (/.f64 (fma.f64 (cos.f64 x) (.f64 (+.f64 (sqrt.f64 5) -1) 3/2) (fma.f64 (cos.f64 y) (-.f64 9/2 (sqrt.f64 45/4)) 3)) (fma.f64 (sqrt.f64 2) (.f64 (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)) (*.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (fma.f64 (sin.f64 x) -1/16 (sin.f64 y)))) 2)) -1)
	0.8b	(.f64 (/.f64 (sqrt.f64 (fma.f64 (sqrt.f64 2) (.f64 (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (fma.f64 (sin.f64 x) -1/16 (sin.f64 y)))) 2)) 1) (/.f64 (sqrt.f64 (fma.f64 (sqrt.f64 2) (.f64 (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (fma.f64 (sin.f64 x) -1/16 (sin.f64 y)))) 2)) (fma.f64 (cos.f64 x) (.f64 (+.f64 (sqrt.f64 5) -1) 3/2) (fma.f64 (cos.f64 y) (-.f64 9/2 (sqrt.f64 45/4)) 3))))
	29.8b	(+.f64 (fma.f64 (.f64 y y) (fma.f64 1/2 (.f64 (/.f64 (fma.f64 (.f64 (sqrt.f64 2) (fma.f64 (cos.f64 x) -1/16 1/16)) (pow.f64 (sin.f64 x) 2) 2) (pow.f64 (fma.f64 (sqrt.f64 5) -3/2 (fma.f64 (cos.f64 x) (fma.f64 3/2 (sqrt.f64 5) -3/2) 15/2)) 2)) (fma.f64 (sqrt.f64 5) -3/2 9/2)) (.f64 (/.f64 (sqrt.f64 2) (fma.f64 (sqrt.f64 5) -3/2 (fma.f64 (cos.f64 x) (fma.f64 3/2 (sqrt.f64 5) -3/2) 15/2))) (fma.f64 (pow.f64 (sin.f64 x) 2) -1/32 (fma.f64 (cos.f64 x) -1/16 1/16)))) (fma.f64 (/.f64 (sqrt.f64 2) (fma.f64 (sqrt.f64 5) -3/2 (fma.f64 (cos.f64 x) (fma.f64 3/2 (sqrt.f64 5) -3/2) 15/2))) (.f64 y (.f64 (+.f64 (cos.f64 x) -1) (.f64 (sin.f64 x) 257/256))) (/.f64 2 (fma.f64 (sqrt.f64 5) -3/2 (fma.f64 (cos.f64 x) (fma.f64 3/2 (sqrt.f64 5) -3/2) 15/2))))) (/.f64 (.f64 (*.f64 (sqrt.f64 2) (fma.f64 (cos.f64 x) -1/16 1/16)) (pow.f64 (sin.f64 x) 2)) (fma.f64 (sqrt.f64 5) -3/2 (fma.f64 (cos.f64 x) (fma.f64 3/2 (sqrt.f64 5) -3/2) 15/2))))
	0.5b	(pow.f64 (sqrt.f64 (/.f64 (fma.f64 (sqrt.f64 2) (.f64 (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (fma.f64 (sin.f64 x) -1/16 (sin.f64 y)))) 2) (fma.f64 (cos.f64 x) (*.f64 (+.f64 (sqrt.f64 5) -1) 3/2) (fma.f64 (cos.f64 y) (-.f64 9/2 (sqrt.f64 45/4)) 3)))) 2)
✓	0.4b	(/.f64 (fma.f64 (sqrt.f64 2) (*.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (log.f64 (pow.f64 (exp.f64 (fma.f64 -1/16 (sin.f64 x) (sin.f64 y))) (fma.f64 -1/16 (sin.f64 y) (sin.f64 x))))) 2) (fma.f64 (cos.f64 y) (fma.f64 (sqrt.f64 5) -3/2 9/2) (fma.f64 (cos.f64 x) (fma.f64 3/2 (sqrt.f64 5) -3/2) 3)))
	1.3b	(pow.f64 (cbrt.f64 (/.f64 (fma.f64 (sqrt.f64 2) (.f64 (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (fma.f64 (sin.f64 x) -1/16 (sin.f64 y)))) 2) (fma.f64 (cos.f64 x) (*.f64 (+.f64 (sqrt.f64 5) -1) 3/2) (fma.f64 (cos.f64 y) (-.f64 9/2 (sqrt.f64 45/4)) 3)))) 3)
	0.5b	(expm1.f64 (log1p.f64 (/.f64 (fma.f64 (sqrt.f64 2) (.f64 (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (fma.f64 (sin.f64 x) -1/16 (sin.f64 y)))) 2) (fma.f64 (cos.f64 x) (*.f64 (+.f64 (sqrt.f64 5) -1) 3/2) (fma.f64 (cos.f64 y) (-.f64 9/2 (sqrt.f64 45/4)) 3)))))
	0.6b	(cbrt.f64 (/.f64 (pow.f64 (fma.f64 (sqrt.f64 2) (.f64 (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (fma.f64 (sin.f64 x) -1/16 (sin.f64 y)))) 2) 3) (pow.f64 (fma.f64 (cos.f64 x) (*.f64 (+.f64 (sqrt.f64 5) -1) 3/2) (fma.f64 (cos.f64 y) (-.f64 9/2 (sqrt.f64 45/4)) 3)) 3)))

Compiler

Compiled 9808 to 6230 computations (36.5% saved)

regimes52.0ms (0.3%)

Accuracy

Total -30.0b remaining (-8579.9%)

Threshold costs -30.0b (-8579.9%)

Counts

17 → 1

Calls

Call 1

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

Outputs

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

Results

8.0ms	0.3b	`x`
10.0ms	0.3b	`y`
8.0ms	0.3b	`(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))`

Compiler

Compiled 1010 to 664 computations (34.3% saved)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Rules

3×	`*-commutative_binary64`
2×	`+-commutative_binary64`
2×	`sub-neg_binary64`
1×	`neg-sub0_binary64`
1×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	63
1	31	63
2	36	63
3	38	63
4	39	63

Stop Event

1×

saturated

Calls

Call 1

Inputs

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

Outputs

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

end33.0ms (0.2%)

Stop Event

1×

fuel

Compiler

Compiled 86 to 62 computations (27.9% saved)

Details

analyze288.0ms (1.8%)

sample10.7s (68.3%)

preprocess49.0ms (0.3%)

simplify31.0ms (0.2%)

prune6.0ms (0%)

localize28.0ms (0.2%)

series27.0ms (0.2%)

rewrite61.0ms (0.4%)

simplify63.0ms (0.4%)

prune558.0ms (3.6%)

localize27.0ms (0.2%)

series10.0ms (0.1%)

rewrite60.0ms (0.4%)

simplify119.0ms (0.8%)

prune675.0ms (4.3%)

localize36.0ms (0.2%)

series10.0ms (0.1%)

rewrite74.0ms (0.5%)

simplify44.0ms (0.3%)

prune1.6s (10.3%)

localize31.0ms (0.2%)

series229.0ms (1.5%)

rewrite67.0ms (0.4%)

simplify57.0ms (0.4%)

prune708.0ms (4.5%)

regimes52.0ms (0.3%)

simplify4.0ms (0%)

end33.0ms (0.2%)

Profiling