Details

analyze282.0ms (1.3%)

Algorithm

1×

Search

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

Compiler

Compiled 53 to 41 computations (22.6% saved)

sample7.9s (37.5%)

Results

5.4s	3635×	body	1024	valid
1.3s	3163×	body	256	valid
1.1s	1440×	body	512	valid
34.0ms	18×	body	2048	valid

preprocess58.0ms (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 54 to 42 computations (22.2% saved)

simplify25.0ms (0.1%)

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)))

eval2.0ms (0%)

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

prune2.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Kept	Total
New	2	2
Fresh	1	1
Picked	0	0
Done	0	0
Total	3	3

Error

0.3b

Counts

3 → 2

Alt Table

Click to see full 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 99 to 75 computations (24.2% saved)

localize96.0ms (0.5%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.1b	(-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))
	0.1b	(-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16))
	0.0b	(+.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))))
	0.0b	(cos.f64 x)
✓	0.3b	(.f64 (.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16)))
✓	0.4b	(*.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)))
✓	1.0b	(-.f64 3 (sqrt.f64 5))
✓	2.6b	(-.f64 (cos.f64 x) (cos.f64 y))

Compiler

Compiled 269 to 178 computations (33.8% saved)

series16.0ms (0.1%)

Counts

4 → 56

Calls

18 calls:

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

rewrite83.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

433×	`expm1-udef_binary64`
433×	`log1p-udef_binary64`
310×	`fma-neg_binary64`
248×	`add-sqr-sqrt_binary64`
239×	`*-un-lft-identity_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	59
1	484	59
2	6595	59

Stop Event

1×	node limit

Counts

4 → 114

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 x) (neg.f64 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 x) (.f64 (neg.f64 (cos.f64 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (fma.f64 (neg.f64 (cos.f64 y)) 1 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (fma.f64 (neg.f64 (cbrt.f64 (cos.f64 y))) (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (+.f64 (neg.f64 (cos.f64 y)) (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (cos.f64 y)) (cos.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (cos.f64 x) (cos.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (-.f64 (cos.f64 x) (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (-.f64 (cos.f64 x) (cos.f64 y))) (pow.f64 (cbrt.f64 (-.f64 (cos.f64 x) (cos.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (-.f64 (cos.f64 x) (cos.f64 y))) 2) (cbrt.f64 (-.f64 (cos.f64 x) (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (-.f64 (cos.f64 x) (cos.f64 y))) (sqrt.f64 (-.f64 (cos.f64 x) (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -2 (.f64 (sin.f64 (.f64 (-.f64 x y) 1/2)) (sin.f64 (.f64 (+.f64 x y) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sin.f64 (.f64 (-.f64 x y) 1/2)) (sin.f64 (.f64 (+.f64 x y) 1/2))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (cos.f64 y) 3)) (/.f64 1 (+.f64 (pow.f64 (cos.f64 x) 2) (.f64 (cos.f64 y) (+.f64 (cos.f64 x) (cos.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 y) 2)) (/.f64 1 (+.f64 (cos.f64 x) (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (sqrt.f64 (cos.f64 x)) (sqrt.f64 (cos.f64 y))) (-.f64 (sqrt.f64 (cos.f64 x)) (sqrt.f64 (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 -2 (sin.f64 (.f64 (-.f64 x y) 1/2))) (sin.f64 (.f64 (+.f64 x y) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (cos.f64 x) 2) (.f64 (cos.f64 y) (+.f64 (cos.f64 x) (cos.f64 y)))) (-.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (cos.f64 y) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (cos.f64 x) (cos.f64 y)) (-.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (cos.f64 y) 3)) (+.f64 (pow.f64 (cos.f64 x) 2) (.f64 (cos.f64 y) (+.f64 (cos.f64 x) (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 y) 2)) (+.f64 (cos.f64 x) (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (cos.f64 y) 3))) (neg.f64 (+.f64 (pow.f64 (cos.f64 x) 2) (.f64 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simplify52.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

810×	`fma-def_binary64`
646×	`distribute-lft-out_binary64`
545×	`associate-l_binary64`
468×	`associate-r_binary64`
436×	`distribute-rgt-out_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	134	1332
1	385	1318
2	1146	1172
3	4663	1127

Stop Event

1×	node limit

Counts

170 → 164

Calls

Call 1

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

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

localize70.0ms (0.3%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.1b	(+.f64 (sin.f64 x) (*.f64 -1/16 (sin.f64 y)))
	0.1b	(fma.f64 (cos.f64 y) (-.f64 9/2 (/.f64 (sqrt.f64 5) 2/3)) 3)
	0.0b	(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)
	0.0b	(cos.f64 x)
✓	0.3b	(.f64 (+.f64 (sin.f64 y) (.f64 -1/16 (sin.f64 x))) (-.f64 (cos.f64 x) (cos.f64 y)))
✓	1.0b	(-.f64 9/2 (/.f64 (sqrt.f64 5) 2/3))
✓	1.0b	(/.f64 (+.f64 (sqrt.f64 5) -1) 2/3)
	2.6b	(-.f64 (cos.f64 x) (cos.f64 y))

Compiler

Compiled 203 to 123 computations (39.4% saved)

series4.0ms (0%)

Counts

3 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	y	@	inf	(.f64 (+.f64 (sin.f64 y) (.f64 -1/16 (sin.f64 x))) (-.f64 (cos.f64 x) (cos.f64 y)))
1.0ms	x	@	inf	(.f64 (+.f64 (sin.f64 y) (.f64 -1/16 (sin.f64 x))) (-.f64 (cos.f64 x) (cos.f64 y)))
1.0ms	x	@	-inf	(.f64 (+.f64 (sin.f64 y) (.f64 -1/16 (sin.f64 x))) (-.f64 (cos.f64 x) (cos.f64 y)))
1.0ms	y	@	0	(.f64 (+.f64 (sin.f64 y) (.f64 -1/16 (sin.f64 x))) (-.f64 (cos.f64 x) (cos.f64 y)))
0.0ms	y	@	-inf	(.f64 (+.f64 (sin.f64 y) (.f64 -1/16 (sin.f64 x))) (-.f64 (cos.f64 x) (cos.f64 y)))

rewrite73.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	21	39
1	479	34
2	6451	34

Stop Event

1×	node limit

Counts

3 → 92

Calls

Call 1

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

Outputs
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Outputs

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

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

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

simplify54.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

890×	`unsub-neg_binary64`
600×	`sub-neg_binary64`
501×	`associate-l_binary64`
489×	`associate-+l+_binary64`
410×	`associate-r_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	53	551
1	140	533
2	399	504
3	1597	504
4	4908	504
5	6664	504

Stop Event

1×	node limit

Counts

116 → 110

Calls

Call 1

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

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

eval308.0ms (1.5%)

Compiler: Compiled 17886 to 11799 computations (34% saved)

prune133.0ms (0.6%)

Pruning

35 alts after pruning (34 fresh and 1 done)

	Pruned	Kept	Total
New	297	34	331
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	298	35	333

Error

0.1b

Counts

333 → 35

Alt Table

Click to see full 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))) (pow.f64 (cbrt.f64 (-.f64 (cos.f64 x) (cos.f64 y))) 3))) 2) (fma.f64 (cos.f64 x) (/.f64 (+.f64 (sqrt.f64 5) -1) 2/3) (fma.f64 (cos.f64 y) (-.f64 9/2 (/.f64 (sqrt.f64 5) 2/3)) 3)))
▶	22.3b	(/.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) -1))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
	23.1b	(/.f64 (fma.f64 (sqrt.f64 2) (.f64 (+.f64 (sin.f64 x) (.f64 -1/16 (sin.f64 y))) (*.f64 (-.f64 1 (cos.f64 y)) (sin.f64 y))) 2) (fma.f64 (cos.f64 x) (/.f64 (+.f64 (sqrt.f64 5) -1) 2/3) (fma.f64 (cos.f64 y) (-.f64 9/2 (/.f64 (sqrt.f64 5) 2/3)) 3)))
	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)))
✓	0.4b	(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
	0.4b	(/.f64 (+.f64 2 (.f64 (cbrt.f64 (pow.f64 (.f64 (sqrt.f64 2) (.f64 (+.f64 (sin.f64 x) (.f64 (sin.f64 y) -1/16)) (+.f64 (sin.f64 y) (.f64 (sin.f64 x) -1/16)))) 3)) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
	28.2b	(/.f64 (+.f64 2 (.f64 (.f64 (sqrt.f64 2) (.f64 (sin.f64 y) (+.f64 (.f64 x 257/256) (.f64 -1/16 (sin.f64 y))))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
	7.8b	(/.f64 (+.f64 2 (.f64 (.f64 (-.f64 (exp.f64 (log1p.f64 (.f64 (sqrt.f64 2) (+.f64 (sin.f64 x) (.f64 (sin.f64 y) -1/16))))) 1) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (*.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
▶	0.4b	(/.f64 (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 (+.f64 9/2 (sqrt.f64 45/4))) 3)))
▶	0.4b	(/.f64 (+.f64 2 (.f64 (.f64 (log1p.f64 (expm1.f64 (.f64 (sqrt.f64 2) (+.f64 (sin.f64 x) (.f64 (sin.f64 y) -1/16))))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (*.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
	0.4b	(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (pow.f64 (cbrt.f64 (-.f64 (cos.f64 x) (cos.f64 y))) 3))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
	0.4b	(/.f64 (+.f64 2 (.f64 (.f64 (+.f64 (.f64 (sin.f64 x) (sqrt.f64 2)) (.f64 (.f64 (sin.f64 y) -1/16) (sqrt.f64 2))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
	23.0b	(/.f64 (+.f64 2 (.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) (pow.f64 (sin.f64 y) 2))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
	0.4b	(/.f64 (fma.f64 (sqrt.f64 2) (.f64 (+.f64 (sin.f64 x) (.f64 -1/16 (sin.f64 y))) (log.f64 (+.f64 1 (expm1.f64 (*.f64 (fma.f64 -1/16 (sin.f64 x) (sin.f64 y)) (-.f64 (cos.f64 x) (cos.f64 y))))))) 2) (fma.f64 (cos.f64 x) (/.f64 (+.f64 (sqrt.f64 5) -1) 2/3) (fma.f64 (cos.f64 y) (-.f64 9/2 (/.f64 (sqrt.f64 5) 2/3)) 3)))
	0.9b	(/.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 (sqrt.f64 5) -1)) 2) (.f64 (cbrt.f64 (+.f64 (sqrt.f64 5) -1)) 3/2)) (fma.f64 (cos.f64 y) (-.f64 9/2 (/.f64 (sqrt.f64 5) 2/3)) 3)))
	0.4b	(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (fma.f64 (cbrt.f64 (cos.f64 x)) (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (neg.f64 (cos.f64 y))))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
	26.8b	(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (sin.f64 x)) (+.f64 (.f64 -1/16 (sin.f64 x)) (.f64 y 257/256))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
	0.4b	(/.f64 (+.f64 2 (.f64 (pow.f64 (cbrt.f64 (.f64 (sqrt.f64 2) (.f64 (+.f64 (sin.f64 x) (.f64 (sin.f64 y) -1/16)) (+.f64 (sin.f64 y) (.f64 (sin.f64 x) -1/16))))) 3) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
	0.4b	(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (/.f64 4 (+.f64 3 (sqrt.f64 5))) 2) (cos.f64 y)))))
	23.0b	(/.f64 (+.f64 2 (.f64 (.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) (sin.f64 y))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (*.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
	25.3b	(/.f64 (fma.f64 (sqrt.f64 2) (.f64 (+.f64 (sin.f64 x) (.f64 -1/16 (sin.f64 y))) (*.f64 (+.f64 (cos.f64 x) -1) (fma.f64 -1/16 (sin.f64 x) 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 (log.f64 (+.f64 1 (expm1.f64 (.f64 (sqrt.f64 2) (+.f64 (sin.f64 x) (.f64 (sin.f64 y) -1/16)))))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (*.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
	23.1b	(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 1 (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
▶	22.2b	(/.f64 (+.f64 2 (.f64 (.f64 (sqrt.f64 2) (.f64 -1/16 (pow.f64 (sin.f64 x) 2))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
	0.4b	(/.f64 (fma.f64 (sqrt.f64 2) (.f64 (+.f64 (sin.f64 x) (.f64 -1/16 (sin.f64 y))) (pow.f64 (cbrt.f64 (*.f64 (fma.f64 -1/16 (sin.f64 x) (sin.f64 y)) (-.f64 (cos.f64 x) (cos.f64 y)))) 3)) 2) (fma.f64 (cos.f64 x) (/.f64 (+.f64 (sqrt.f64 5) -1) 2/3) (fma.f64 (cos.f64 y) (-.f64 9/2 (/.f64 (sqrt.f64 5) 2/3)) 3)))
	22.2b	(/.f64 (fma.f64 (sqrt.f64 2) (.f64 (+.f64 (sin.f64 x) (.f64 -1/16 (sin.f64 y))) (.f64 (+.f64 (cos.f64 x) -1) (.f64 -1/16 (sin.f64 x)))) 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)))
	10.0b	(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (expm1.f64 (log1p.f64 (-.f64 (cos.f64 x) (cos.f64 y)))))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
	28.7b	(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (+.f64 (sin.f64 x) (.f64 y -1/16))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (*.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
	0.4b	(/.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) (pow.f64 (*.f64 1/6 (+.f64 (sqrt.f64 5) 1)) -1) (fma.f64 (cos.f64 y) (-.f64 9/2 (/.f64 (sqrt.f64 5) 2/3)) 3)))
▶	0.4b	(/.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 (log.f64 (exp.f64 (-.f64 3 (sqrt.f64 5)))) 2) (cos.f64 y)))))
	5.1b	(/.f64 (fma.f64 (sqrt.f64 2) (.f64 (+.f64 (sin.f64 x) (.f64 -1/16 (sin.f64 y))) (-.f64 (exp.f64 (log1p.f64 (*.f64 (fma.f64 -1/16 (sin.f64 x) (sin.f64 y)) (-.f64 (cos.f64 x) (cos.f64 y))))) 1)) 2) (fma.f64 (cos.f64 x) (/.f64 (+.f64 (sqrt.f64 5) -1) 2/3) (fma.f64 (cos.f64 y) (-.f64 9/2 (/.f64 (sqrt.f64 5) 2/3)) 3)))
	0.4b	(/.f64 (+.f64 2 (.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))) (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x))))) (-.f64 (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)))))
	21.1b	(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (sin.f64 x)) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
	0.4b	(/.f64 (+.f64 2 (.f64 (log1p.f64 (expm1.f64 (.f64 (sqrt.f64 2) (.f64 (+.f64 (sin.f64 x) (.f64 (sin.f64 y) -1/16)) (+.f64 (sin.f64 y) (.f64 (sin.f64 x) -1/16)))))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
	0.4b	(/.f64 (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 (neg.f64 (sqrt.f64 45/4))) 3)))

Compiler

Compiled 3488 to 2722 computations (22% saved)

localize162.0ms (0.8%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.1b	(-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))
	0.1b	(+.f64 (sin.f64 x) (*.f64 (sin.f64 y) -1/16))
	0.0b	(+.f64 2 (.f64 (.f64 (log1p.f64 (expm1.f64 (.f64 (sqrt.f64 2) (+.f64 (sin.f64 x) (.f64 (sin.f64 y) -1/16))))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y))))
	0.0b	(cos.f64 x)
✓	0.3b	(.f64 (log1p.f64 (expm1.f64 (.f64 (sqrt.f64 2) (+.f64 (sin.f64 x) (*.f64 (sin.f64 y) -1/16))))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16)))
✓	0.4b	(.f64 (sqrt.f64 2) (+.f64 (sin.f64 x) (.f64 (sin.f64 y) -1/16)))
	1.0b	(-.f64 3 (sqrt.f64 5))
	2.6b	(-.f64 (cos.f64 x) (cos.f64 y))

Compiler

Compiled 301 to 202 computations (32.9% saved)

series10.0ms (0%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
3.0ms	y	@	inf	(.f64 (log1p.f64 (expm1.f64 (.f64 (sqrt.f64 2) (+.f64 (sin.f64 x) (*.f64 (sin.f64 y) -1/16))))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16)))
1.0ms	x	@	-inf	(.f64 (log1p.f64 (expm1.f64 (.f64 (sqrt.f64 2) (+.f64 (sin.f64 x) (*.f64 (sin.f64 y) -1/16))))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16)))
1.0ms	x	@	inf	(.f64 (log1p.f64 (expm1.f64 (.f64 (sqrt.f64 2) (+.f64 (sin.f64 x) (*.f64 (sin.f64 y) -1/16))))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16)))
1.0ms	y	@	-inf	(.f64 (log1p.f64 (expm1.f64 (.f64 (sqrt.f64 2) (+.f64 (sin.f64 x) (*.f64 (sin.f64 y) -1/16))))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16)))
1.0ms	x	@	inf	(.f64 (sqrt.f64 2) (+.f64 (sin.f64 x) (.f64 (sin.f64 y) -1/16)))

rewrite90.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

814×	`log-prod_binary64`
488×	`fma-def_binary64`
307×	`expm1-udef_binary64`
307×	`log1p-udef_binary64`
246×	`log-pow_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	17	45
1	357	41
2	4720	39

Stop Event

1×	node limit

Counts

2 → 94

Calls

Call 1

Inputs

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

(*.f64 (log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 2) (+.f64 (sin.f64 x) (*.f64 (sin.f64 y) -1/16))))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 2) (sin.f64 x)) (*.f64 (sqrt.f64 2) (*.f64 (sin.f64 y) -1/16)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 2) (*.f64 (sin.f64 y) -1/16)) (*.f64 (sqrt.f64 2) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (sqrt.f64 2) (fma.f64 (sin.f64 y) -1/16 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (sqrt.f64 2) (sin.f64 x)) 1) (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (sin.f64 y) -1/16)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 2)) (fma.f64 (sin.f64 y) -1/16 (sin.f64 x)))) (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 2)) (fma.f64 (sin.f64 y) -1/16 (sin.f64 x)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 2)) (fma.f64 (sin.f64 y) -1/16 (sin.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 2)) (fma.f64 (sin.f64 y) -1/16 (sin.f64 x))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 2)) (fma.f64 (sin.f64 y) -1/16 (sin.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log1p.f64 (pow.f64 (expm1.f64 (*.f64 (sqrt.f64 2) (fma.f64 (sin.f64 y) -1/16 (sin.f64 x)))) 3)) (log.f64 (+.f64 1 (-.f64 (pow.f64 (expm1.f64 (*.f64 (sqrt.f64 2) (fma.f64 (sin.f64 y) -1/16 (sin.f64 x)))) 2) (expm1.f64 (*.f64 (sqrt.f64 2) (fma.f64 (sin.f64 y) -1/16 (sin.f64 x))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 2) (fma.f64 (sin.f64 y) -1/16 (sin.f64 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (-.f64 1 (pow.f64 (expm1.f64 (*.f64 (sqrt.f64 2) (fma.f64 (sin.f64 y) -1/16 (sin.f64 x)))) 2))) (log.f64 (-.f64 1 (expm1.f64 (*.f64 (sqrt.f64 2) (fma.f64 (sin.f64 y) -1/16 (sin.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (sqrt.f64 2) (sin.f64 x)) 3) (pow.f64 (*.f64 (sqrt.f64 2) (*.f64 (sin.f64 y) -1/16)) 3)) (fma.f64 (*.f64 (sqrt.f64 2) (sin.f64 x)) (*.f64 (sqrt.f64 2) (sin.f64 x)) (-.f64 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (sin.f64 y) -1/16)) (*.f64 (sqrt.f64 2) (*.f64 (sin.f64 y) -1/16))) (*.f64 (*.f64 (sqrt.f64 2) (sin.f64 x)) (*.f64 (sqrt.f64 2) (*.f64 (sin.f64 y) -1/16))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 2) (sin.f64 x)) (*.f64 (sqrt.f64 2) (sin.f64 x))) (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (sin.f64 y) -1/16)) (*.f64 (sqrt.f64 2) (*.f64 (sin.f64 y) -1/16)))) (-.f64 (*.f64 (sqrt.f64 2) (sin.f64 x)) (*.f64 (sqrt.f64 2) (*.f64 (sin.f64 y) -1/16))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 -1/4096 (pow.f64 (sin.f64 y) 3) (pow.f64 (sin.f64 x) 3)) (sqrt.f64 2)) (fma.f64 (*.f64 (sin.f64 y) -1/16) (-.f64 (*.f64 (sin.f64 y) -1/16) (sin.f64 x)) (pow.f64 (sin.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 (sin.f64 x) 2) (*.f64 1/256 (pow.f64 (sin.f64 y) 2))) (sqrt.f64 2)) (+.f64 (sin.f64 x) (*.f64 1/16 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 2) (fma.f64 -1/4096 (pow.f64 (sin.f64 y) 3) (pow.f64 (sin.f64 x) 3))) (fma.f64 (*.f64 (sin.f64 y) -1/16) (-.f64 (*.f64 (sin.f64 y) -1/16) (sin.f64 x)) (pow.f64 (sin.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 2) (-.f64 (pow.f64 (sin.f64 x) 2) (*.f64 1/256 (pow.f64 (sin.f64 y) 2)))) (+.f64 (sin.f64 x) (*.f64 1/16 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 2) (fma.f64 (sin.f64 y) -1/16 (sin.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sqrt.f64 2) (fma.f64 (sin.f64 y) -1/16 (sin.f64 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 2) (fma.f64 (sin.f64 y) -1/16 (sin.f64 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 2) (fma.f64 (sin.f64 y) -1/16 (sin.f64 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 2 (pow.f64 (fma.f64 (sin.f64 y) -1/16 (sin.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (sqrt.f64 2)) (fma.f64 (sin.f64 y) -1/16 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (*.f64 (sqrt.f64 2) (*.f64 (sin.f64 y) -1/16))) (exp.f64 (*.f64 (sqrt.f64 2) (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 2) (fma.f64 (sin.f64 y) -1/16 (sin.f64 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (*.f64 2 (sqrt.f64 2)) (pow.f64 (fma.f64 (sin.f64 y) -1/16 (sin.f64 x)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (fma.f64 (sin.f64 y) -1/16 (sin.f64 x)) 3) (*.f64 2 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 2) (fma.f64 (sin.f64 y) -1/16 (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sqrt.f64 2) (fma.f64 (sin.f64 y) -1/16 (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 2) (fma.f64 (sin.f64 y) -1/16 (sin.f64 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 2) (fma.f64 (sin.f64 y) -1/16 (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 2) (sin.f64 x) (*.f64 (sqrt.f64 2) (*.f64 (sin.f64 y) -1/16)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 2) (*.f64 (sin.f64 y) -1/16) (*.f64 (sqrt.f64 2) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sin.f64 x) (sqrt.f64 2) (*.f64 (sqrt.f64 2) (*.f64 (sin.f64 y) -1/16)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sin.f64 y) (*.f64 -1/16 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1/16 (*.f64 (sin.f64 y) (sqrt.f64 2)) (*.f64 (sqrt.f64 2) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sin.f64 y) -1/16) (sqrt.f64 2) (*.f64 (sqrt.f64 2) (sin.f64 x)))))) (#(struct:change 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simplify67.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

652×	`fma-def_binary64`
619×	`unsub-neg_binary64`
593×	`distribute-lft-out_binary64`
508×	`associate-+l+_binary64`
477×	`associate-l_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	91	1124
1	290	1114
2	903	1036
3	3672	993
4	7522	993

Stop Event

1×	node limit

Counts

142 → 129

Calls

Call 1

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

Outputs
(.f64 -1/16 (.f64 (sqrt.f64 2) (sin.f64 y)))
(.f64 (sqrt.f64 2) (.f64 -1/16 (sin.f64 y)))
(+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) (sin.f64 y))) (*.f64 (sqrt.f64 2) x))
(fma.f64 -1/16 (.f64 (sqrt.f64 2) (sin.f64 y)) (.f64 (sqrt.f64 2) x))
(.f64 (sqrt.f64 2) (+.f64 (.f64 -1/16 (sin.f64 y)) x))
(.f64 (sqrt.f64 2) (+.f64 x (.f64 -1/16 (sin.f64 y))))
(+.f64 (.f64 -1/6 (.f64 (sqrt.f64 2) (pow.f64 x 3))) (+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) (sin.f64 y))) (*.f64 (sqrt.f64 2) x)))
(fma.f64 -1/6 (.f64 (sqrt.f64 2) (pow.f64 x 3)) (fma.f64 -1/16 (.f64 (sqrt.f64 2) (sin.f64 y)) (*.f64 (sqrt.f64 2) x)))
(fma.f64 -1/16 (.f64 (sqrt.f64 2) (sin.f64 y)) (.f64 (sqrt.f64 2) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)))
(.f64 (sqrt.f64 2) (+.f64 (.f64 -1/16 (sin.f64 y)) (+.f64 x (*.f64 -1/6 (pow.f64 x 3)))))
(+.f64 (.f64 -1/6 (.f64 (sqrt.f64 2) (pow.f64 x 3))) (+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) (sin.f64 y))) (+.f64 (.f64 (sqrt.f64 2) x) (.f64 1/120 (*.f64 (sqrt.f64 2) (pow.f64 x 5))))))
(fma.f64 -1/6 (.f64 (sqrt.f64 2) (pow.f64 x 3)) (fma.f64 -1/16 (.f64 (sqrt.f64 2) (sin.f64 y)) (fma.f64 (sqrt.f64 2) x (.f64 (.f64 1/120 (sqrt.f64 2)) (pow.f64 x 5)))))
(fma.f64 -1/6 (.f64 (sqrt.f64 2) (pow.f64 x 3)) (fma.f64 -1/16 (.f64 (sqrt.f64 2) (sin.f64 y)) (fma.f64 (sqrt.f64 2) x (.f64 (sqrt.f64 2) (.f64 (pow.f64 x 5) 1/120)))))
(+.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 -1/16 (sin.f64 y)) x)) (.f64 (sqrt.f64 2) (+.f64 (.f64 1/120 (pow.f64 x 5)) (*.f64 -1/6 (pow.f64 x 3)))))
(.f64 (sqrt.f64 2) (+.f64 (+.f64 (.f64 -1/16 (sin.f64 y)) (.f64 -1/6 (pow.f64 x 3))) (+.f64 x (.f64 1/120 (pow.f64 x 5)))))
(.f64 (sqrt.f64 2) (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x)))
(*.f64 (sqrt.f64 2) (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)))
(.f64 (sqrt.f64 2) (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x)))
(*.f64 (sqrt.f64 2) (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)))
(.f64 (sqrt.f64 2) (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x)))
(*.f64 (sqrt.f64 2) (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)))
(.f64 (sqrt.f64 2) (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x)))
(*.f64 (sqrt.f64 2) (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)))
(.f64 (sqrt.f64 2) (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x)))
(*.f64 (sqrt.f64 2) (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)))
(.f64 (sqrt.f64 2) (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x)))
(*.f64 (sqrt.f64 2) (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)))
(.f64 (sqrt.f64 2) (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x)))
(*.f64 (sqrt.f64 2) (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)))
(.f64 (sqrt.f64 2) (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x)))
(*.f64 (sqrt.f64 2) (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)))
(*.f64 (sqrt.f64 2) (sin.f64 x))
(+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) y)) (*.f64 (sqrt.f64 2) (sin.f64 x)))
(fma.f64 -1/16 (.f64 (sqrt.f64 2) y) (.f64 (sqrt.f64 2) (sin.f64 x)))
(fma.f64 (sqrt.f64 2) (sin.f64 x) (.f64 (sqrt.f64 2) (.f64 y -1/16)))
(.f64 (sqrt.f64 2) (+.f64 (.f64 -1/16 y) (sin.f64 x)))
(.f64 (sqrt.f64 2) (+.f64 (sin.f64 x) (.f64 -1/16 y)))
(+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) y)) (+.f64 (.f64 1/96 (.f64 (sqrt.f64 2) (pow.f64 y 3))) (*.f64 (sqrt.f64 2) (sin.f64 x))))
(fma.f64 -1/16 (.f64 (sqrt.f64 2) y) (fma.f64 1/96 (.f64 (sqrt.f64 2) (pow.f64 y 3)) (*.f64 (sqrt.f64 2) (sin.f64 x))))
(fma.f64 -1/16 (.f64 (sqrt.f64 2) y) (fma.f64 (sqrt.f64 2) (sin.f64 x) (.f64 1/96 (*.f64 (sqrt.f64 2) (pow.f64 y 3)))))
(fma.f64 (sqrt.f64 2) (.f64 1/96 (pow.f64 y 3)) (.f64 (sqrt.f64 2) (+.f64 (*.f64 -1/16 y) (sin.f64 x))))
(.f64 (sqrt.f64 2) (+.f64 (.f64 1/96 (pow.f64 y 3)) (+.f64 (sin.f64 x) (*.f64 -1/16 y))))
(+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) y)) (+.f64 (.f64 1/96 (.f64 (sqrt.f64 2) (pow.f64 y 3))) (+.f64 (.f64 (sqrt.f64 2) (sin.f64 x)) (.f64 -1/1920 (*.f64 (sqrt.f64 2) (pow.f64 y 5))))))
(fma.f64 -1/16 (.f64 (sqrt.f64 2) y) (fma.f64 1/96 (.f64 (sqrt.f64 2) (pow.f64 y 3)) (fma.f64 (sqrt.f64 2) (sin.f64 x) (.f64 -1/1920 (.f64 (sqrt.f64 2) (pow.f64 y 5))))))
(fma.f64 -1/16 (.f64 (sqrt.f64 2) y) (fma.f64 1/96 (.f64 (sqrt.f64 2) (pow.f64 y 3)) (fma.f64 (sqrt.f64 2) (sin.f64 x) (.f64 (sqrt.f64 2) (.f64 (pow.f64 y 5) -1/1920)))))
(+.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 1/96 (pow.f64 y 3)) (sin.f64 x))) (.f64 (sqrt.f64 2) (+.f64 (.f64 -1/1920 (pow.f64 y 5)) (*.f64 -1/16 y))))
(.f64 (sqrt.f64 2) (+.f64 (+.f64 (sin.f64 x) (.f64 1/96 (pow.f64 y 3))) (+.f64 (.f64 -1/1920 (pow.f64 y 5)) (.f64 -1/16 y))))
(.f64 (sqrt.f64 2) (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x)))
(*.f64 (sqrt.f64 2) (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)))
(.f64 (sqrt.f64 2) (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x)))
(*.f64 (sqrt.f64 2) (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)))
(.f64 (sqrt.f64 2) (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x)))
(*.f64 (sqrt.f64 2) (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)))
(.f64 (sqrt.f64 2) (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x)))
(*.f64 (sqrt.f64 2) (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)))
(.f64 (sqrt.f64 2) (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x)))
(*.f64 (sqrt.f64 2) (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)))
(.f64 (sqrt.f64 2) (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x)))
(*.f64 (sqrt.f64 2) (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)))
(.f64 (sqrt.f64 2) (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x)))
(*.f64 (sqrt.f64 2) (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)))
(.f64 (sqrt.f64 2) (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x)))
(*.f64 (sqrt.f64 2) (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)))
(.f64 -1/16 (.f64 (sqrt.f64 2) (pow.f64 (sin.f64 y) 2)))
(.f64 (.f64 -1/16 (sqrt.f64 2)) (pow.f64 (sin.f64 y) 2))
(.f64 (sqrt.f64 2) (.f64 -1/16 (pow.f64 (sin.f64 y) 2)))
(+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) (pow.f64 (sin.f64 y) 2))) (.f64 (sqrt.f64 2) (.f64 (+.f64 (*.f64 1/256 (sin.f64 y)) (sin.f64 y)) x)))
(fma.f64 -1/16 (.f64 (sqrt.f64 2) (pow.f64 (sin.f64 y) 2)) (.f64 (sqrt.f64 2) (.f64 x (.f64 257/256 (sin.f64 y)))))
(fma.f64 -1/16 (.f64 (sqrt.f64 2) (pow.f64 (sin.f64 y) 2)) (.f64 (sqrt.f64 2) (.f64 x (.f64 (sin.f64 y) 257/256))))
(.f64 (sqrt.f64 2) (+.f64 (.f64 -1/16 (pow.f64 (sin.f64 y) 2)) (.f64 (sin.f64 y) (.f64 x 257/256))))
(.f64 (sqrt.f64 2) (.f64 (sin.f64 y) (+.f64 (.f64 x 257/256) (.f64 -1/16 (sin.f64 y)))))
(+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) (pow.f64 x 2))) (+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) (pow.f64 (sin.f64 y) 2))) (.f64 (sqrt.f64 2) (.f64 (+.f64 (*.f64 1/256 (sin.f64 y)) (sin.f64 y)) x))))
(fma.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 x x)) (fma.f64 -1/16 (.f64 (sqrt.f64 2) (pow.f64 (sin.f64 y) 2)) (.f64 (sqrt.f64 2) (.f64 x (.f64 257/256 (sin.f64 y))))))
(+.f64 (.f64 (sqrt.f64 2) (.f64 x (.f64 (sin.f64 y) 257/256))) (.f64 (.f64 -1/16 (sqrt.f64 2)) (+.f64 (.f64 x x) (pow.f64 (sin.f64 y) 2))))
(fma.f64 -1/16 (.f64 (sqrt.f64 2) (fma.f64 x x (pow.f64 (sin.f64 y) 2))) (.f64 (sqrt.f64 2) (.f64 (sin.f64 y) (.f64 x 257/256))))
(.f64 (sqrt.f64 2) (+.f64 (.f64 (sin.f64 y) (.f64 x 257/256)) (.f64 -1/16 (fma.f64 x x (pow.f64 (sin.f64 y) 2)))))
(+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) (pow.f64 x 2))) (+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) (pow.f64 (sin.f64 y) 2))) (+.f64 (.f64 (sqrt.f64 2) (.f64 (+.f64 (.f64 -1/1536 (sin.f64 y)) (.f64 -1/6 (sin.f64 y))) (pow.f64 x 3))) (.f64 (sqrt.f64 2) (.f64 (+.f64 (*.f64 1/256 (sin.f64 y)) (sin.f64 y)) x)))))
(fma.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 x x)) (fma.f64 -1/16 (.f64 (sqrt.f64 2) (pow.f64 (sin.f64 y) 2)) (.f64 (sqrt.f64 2) (+.f64 (.f64 (pow.f64 x 3) (.f64 (sin.f64 y) -257/1536)) (.f64 x (.f64 257/256 (sin.f64 y)))))))
(+.f64 (.f64 (sqrt.f64 2) (fma.f64 (pow.f64 x 3) (.f64 (sin.f64 y) -257/1536) (.f64 x (.f64 (sin.f64 y) 257/256)))) (.f64 (.f64 -1/16 (sqrt.f64 2)) (+.f64 (*.f64 x x) (pow.f64 (sin.f64 y) 2))))
(fma.f64 (sqrt.f64 2) (fma.f64 (sin.f64 y) (.f64 (pow.f64 x 3) -257/1536) (.f64 (sin.f64 y) (.f64 x 257/256))) (.f64 -1/16 (*.f64 (sqrt.f64 2) (fma.f64 x x (pow.f64 (sin.f64 y) 2)))))
(.f64 (sqrt.f64 2) (+.f64 (.f64 (sin.f64 y) (+.f64 (.f64 x 257/256) (.f64 (pow.f64 x 3) -257/1536))) (*.f64 -1/16 (fma.f64 x x (pow.f64 (sin.f64 y) 2)))))
(.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x))) (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x))))
(.f64 (sqrt.f64 2) (.f64 (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)) (+.f64 (sin.f64 y) (*.f64 -1/16 (sin.f64 x)))))
(.f64 (sqrt.f64 2) (.f64 (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)) (-.f64 (sin.f64 y) (*.f64 (sin.f64 x) 1/16))))
(.f64 (sqrt.f64 2) (.f64 (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)) (fma.f64 -1/16 (sin.f64 x) (sin.f64 y))))
(.f64 (fma.f64 -1/16 (sin.f64 x) (sin.f64 y)) (.f64 (sqrt.f64 2) (fma.f64 -1/16 (sin.f64 y) (sin.f64 x))))
(.f64 (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)) (.f64 (sqrt.f64 2) (fma.f64 -1/16 (sin.f64 x) (sin.f64 y))))
(.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x))) (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x))))
(.f64 (sqrt.f64 2) (.f64 (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)) (+.f64 (sin.f64 y) (*.f64 -1/16 (sin.f64 x)))))
(.f64 (sqrt.f64 2) (.f64 (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)) (-.f64 (sin.f64 y) (*.f64 (sin.f64 x) 1/16))))
(.f64 (sqrt.f64 2) (.f64 (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)) (fma.f64 -1/16 (sin.f64 x) (sin.f64 y))))
(.f64 (fma.f64 -1/16 (sin.f64 x) (sin.f64 y)) (.f64 (sqrt.f64 2) (fma.f64 -1/16 (sin.f64 y) (sin.f64 x))))
(.f64 (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)) (.f64 (sqrt.f64 2) (fma.f64 -1/16 (sin.f64 x) (sin.f64 y))))
(.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x))) (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x))))
(.f64 (sqrt.f64 2) (.f64 (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)) (+.f64 (sin.f64 y) (*.f64 -1/16 (sin.f64 x)))))
(.f64 (sqrt.f64 2) (.f64 (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)) (-.f64 (sin.f64 y) (*.f64 (sin.f64 x) 1/16))))
(.f64 (sqrt.f64 2) (.f64 (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)) (fma.f64 -1/16 (sin.f64 x) (sin.f64 y))))
(.f64 (fma.f64 -1/16 (sin.f64 x) (sin.f64 y)) (.f64 (sqrt.f64 2) (fma.f64 -1/16 (sin.f64 y) (sin.f64 x))))
(.f64 (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)) (.f64 (sqrt.f64 2) (fma.f64 -1/16 (sin.f64 x) (sin.f64 y))))
(.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x))) (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x))))
(.f64 (sqrt.f64 2) (.f64 (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)) (+.f64 (sin.f64 y) (*.f64 -1/16 (sin.f64 x)))))
(.f64 (sqrt.f64 2) (.f64 (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)) (-.f64 (sin.f64 y) (*.f64 (sin.f64 x) 1/16))))
(.f64 (sqrt.f64 2) (.f64 (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)) (fma.f64 -1/16 (sin.f64 x) (sin.f64 y))))
(.f64 (fma.f64 -1/16 (sin.f64 x) (sin.f64 y)) (.f64 (sqrt.f64 2) (fma.f64 -1/16 (sin.f64 y) (sin.f64 x))))
(.f64 (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)) (.f64 (sqrt.f64 2) (fma.f64 -1/16 (sin.f64 x) (sin.f64 y))))
(.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x))) (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x))))
(.f64 (sqrt.f64 2) (.f64 (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)) (+.f64 (sin.f64 y) (*.f64 -1/16 (sin.f64 x)))))
(.f64 (sqrt.f64 2) (.f64 (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)) (-.f64 (sin.f64 y) (*.f64 (sin.f64 x) 1/16))))
(.f64 (sqrt.f64 2) (.f64 (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)) (fma.f64 -1/16 (sin.f64 x) (sin.f64 y))))
(.f64 (fma.f64 -1/16 (sin.f64 x) (sin.f64 y)) (.f64 (sqrt.f64 2) (fma.f64 -1/16 (sin.f64 y) (sin.f64 x))))
(.f64 (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)) (.f64 (sqrt.f64 2) (fma.f64 -1/16 (sin.f64 x) (sin.f64 y))))
(.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x))) (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x))))
(.f64 (sqrt.f64 2) (.f64 (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)) (+.f64 (sin.f64 y) (*.f64 -1/16 (sin.f64 x)))))
(.f64 (sqrt.f64 2) (.f64 (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)) (-.f64 (sin.f64 y) (*.f64 (sin.f64 x) 1/16))))
(.f64 (sqrt.f64 2) (.f64 (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)) (fma.f64 -1/16 (sin.f64 x) (sin.f64 y))))
(.f64 (fma.f64 -1/16 (sin.f64 x) (sin.f64 y)) (.f64 (sqrt.f64 2) (fma.f64 -1/16 (sin.f64 y) (sin.f64 x))))
(.f64 (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)) (.f64 (sqrt.f64 2) (fma.f64 -1/16 (sin.f64 x) (sin.f64 y))))
(.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x))) (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x))))
(.f64 (sqrt.f64 2) (.f64 (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)) (+.f64 (sin.f64 y) (*.f64 -1/16 (sin.f64 x)))))
(.f64 (sqrt.f64 2) (.f64 (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)) (-.f64 (sin.f64 y) (*.f64 (sin.f64 x) 1/16))))
(.f64 (sqrt.f64 2) (.f64 (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)) (fma.f64 -1/16 (sin.f64 x) (sin.f64 y))))
(.f64 (fma.f64 -1/16 (sin.f64 x) (sin.f64 y)) (.f64 (sqrt.f64 2) (fma.f64 -1/16 (sin.f64 y) (sin.f64 x))))
(.f64 (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)) (.f64 (sqrt.f64 2) (fma.f64 -1/16 (sin.f64 x) (sin.f64 y))))
(.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x))) (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x))))
(.f64 (sqrt.f64 2) (.f64 (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)) (+.f64 (sin.f64 y) (*.f64 -1/16 (sin.f64 x)))))
(.f64 (sqrt.f64 2) (.f64 (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)) (-.f64 (sin.f64 y) (*.f64 (sin.f64 x) 1/16))))
(.f64 (sqrt.f64 2) (.f64 (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)) (fma.f64 -1/16 (sin.f64 x) (sin.f64 y))))
(.f64 (fma.f64 -1/16 (sin.f64 x) (sin.f64 y)) (.f64 (sqrt.f64 2) (fma.f64 -1/16 (sin.f64 y) (sin.f64 x))))
(.f64 (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)) (.f64 (sqrt.f64 2) (fma.f64 -1/16 (sin.f64 x) (sin.f64 y))))
(.f64 -1/16 (.f64 (sqrt.f64 2) (pow.f64 (sin.f64 x) 2)))
(.f64 (pow.f64 (sin.f64 x) 2) (.f64 -1/16 (sqrt.f64 2)))
(+.f64 (.f64 (sqrt.f64 2) (.f64 y (+.f64 (.f64 1/256 (sin.f64 x)) (sin.f64 x)))) (.f64 -1/16 (*.f64 (sqrt.f64 2) (pow.f64 (sin.f64 x) 2))))
(fma.f64 (sqrt.f64 2) (.f64 y (.f64 257/256 (sin.f64 x))) (.f64 -1/16 (.f64 (sqrt.f64 2) (pow.f64 (sin.f64 x) 2))))
(fma.f64 -1/16 (.f64 (sqrt.f64 2) (pow.f64 (sin.f64 x) 2)) (.f64 (sqrt.f64 2) (.f64 257/256 (.f64 y (sin.f64 x)))))
(.f64 (sqrt.f64 2) (+.f64 (.f64 y (.f64 (sin.f64 x) 257/256)) (.f64 -1/16 (pow.f64 (sin.f64 x) 2))))
(.f64 (sqrt.f64 2) (.f64 (sin.f64 x) (+.f64 (.f64 y 257/256) (.f64 -1/16 (sin.f64 x)))))
(+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) (pow.f64 y 2))) (+.f64 (.f64 (sqrt.f64 2) (.f64 y (+.f64 (.f64 1/256 (sin.f64 x)) (sin.f64 x)))) (.f64 -1/16 (*.f64 (sqrt.f64 2) (pow.f64 (sin.f64 x) 2)))))
(fma.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 y y)) (fma.f64 (sqrt.f64 2) (.f64 y (.f64 257/256 (sin.f64 x))) (.f64 -1/16 (.f64 (sqrt.f64 2) (pow.f64 (sin.f64 x) 2)))))
(fma.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 y y)) (fma.f64 -1/16 (.f64 (sqrt.f64 2) (pow.f64 (sin.f64 x) 2)) (.f64 (sqrt.f64 2) (.f64 257/256 (.f64 y (sin.f64 x))))))
(fma.f64 y (.f64 (sin.f64 x) (.f64 (sqrt.f64 2) 257/256)) (.f64 (.f64 -1/16 (sqrt.f64 2)) (+.f64 (pow.f64 (sin.f64 x) 2) (*.f64 y y))))
(.f64 (sqrt.f64 2) (+.f64 (.f64 (sin.f64 x) (+.f64 (.f64 y 257/256) (.f64 -1/16 (sin.f64 x)))) (.f64 y (.f64 -1/16 y))))
(+.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 y 3) (+.f64 (.f64 -1/1536 (sin.f64 x)) (.f64 -1/6 (sin.f64 x))))) (+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) (pow.f64 y 2))) (+.f64 (.f64 (sqrt.f64 2) (.f64 y (+.f64 (.f64 1/256 (sin.f64 x)) (sin.f64 x)))) (.f64 -1/16 (*.f64 (sqrt.f64 2) (pow.f64 (sin.f64 x) 2))))))
(fma.f64 (sqrt.f64 2) (.f64 (pow.f64 y 3) (.f64 (sin.f64 x) -257/1536)) (fma.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 y y)) (fma.f64 (sqrt.f64 2) (.f64 y (.f64 257/256 (sin.f64 x))) (.f64 -1/16 (.f64 (sqrt.f64 2) (pow.f64 (sin.f64 x) 2))))))
(fma.f64 (sqrt.f64 2) (.f64 (sin.f64 x) (.f64 -257/1536 (pow.f64 y 3))) (fma.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 y y)) (fma.f64 -1/16 (.f64 (sqrt.f64 2) (pow.f64 (sin.f64 x) 2)) (.f64 (sqrt.f64 2) (.f64 257/256 (.f64 y (sin.f64 x)))))))
(fma.f64 (sqrt.f64 2) (.f64 (sin.f64 x) (.f64 (pow.f64 y 3) -257/1536)) (fma.f64 y (.f64 (sin.f64 x) (.f64 (sqrt.f64 2) 257/256)) (.f64 (.f64 -1/16 (sqrt.f64 2)) (+.f64 (pow.f64 (sin.f64 x) 2) (*.f64 y y)))))
(.f64 (sqrt.f64 2) (+.f64 (.f64 (.f64 y y) (+.f64 (.f64 y (.f64 (sin.f64 x) -257/1536)) -1/16)) (.f64 (sin.f64 x) (+.f64 (.f64 y 257/256) (.f64 -1/16 (sin.f64 x))))))
(.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x))) (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x))))
(.f64 (sqrt.f64 2) (.f64 (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)) (+.f64 (sin.f64 y) (*.f64 -1/16 (sin.f64 x)))))
(.f64 (sqrt.f64 2) (.f64 (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)) (-.f64 (sin.f64 y) (*.f64 (sin.f64 x) 1/16))))
(.f64 (sqrt.f64 2) (.f64 (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)) (fma.f64 -1/16 (sin.f64 x) (sin.f64 y))))
(.f64 (fma.f64 -1/16 (sin.f64 x) (sin.f64 y)) (.f64 (sqrt.f64 2) (fma.f64 -1/16 (sin.f64 y) (sin.f64 x))))
(.f64 (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)) (.f64 (sqrt.f64 2) (fma.f64 -1/16 (sin.f64 x) (sin.f64 y))))
(.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x))) (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x))))
(.f64 (sqrt.f64 2) (.f64 (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)) (+.f64 (sin.f64 y) (*.f64 -1/16 (sin.f64 x)))))
(.f64 (sqrt.f64 2) (.f64 (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)) (-.f64 (sin.f64 y) (*.f64 (sin.f64 x) 1/16))))
(.f64 (sqrt.f64 2) (.f64 (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)) (fma.f64 -1/16 (sin.f64 x) (sin.f64 y))))
(.f64 (fma.f64 -1/16 (sin.f64 x) (sin.f64 y)) (.f64 (sqrt.f64 2) (fma.f64 -1/16 (sin.f64 y) (sin.f64 x))))
(.f64 (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)) (.f64 (sqrt.f64 2) (fma.f64 -1/16 (sin.f64 x) (sin.f64 y))))
(.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x))) (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x))))
(.f64 (sqrt.f64 2) (.f64 (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)) (+.f64 (sin.f64 y) (*.f64 -1/16 (sin.f64 x)))))
(.f64 (sqrt.f64 2) (.f64 (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)) (-.f64 (sin.f64 y) (*.f64 (sin.f64 x) 1/16))))
(.f64 (sqrt.f64 2) (.f64 (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)) (fma.f64 -1/16 (sin.f64 x) (sin.f64 y))))
(.f64 (fma.f64 -1/16 (sin.f64 x) (sin.f64 y)) (.f64 (sqrt.f64 2) (fma.f64 -1/16 (sin.f64 y) (sin.f64 x))))
(.f64 (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)) (.f64 (sqrt.f64 2) (fma.f64 -1/16 (sin.f64 x) (sin.f64 y))))
(.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x))) (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x))))
(.f64 (sqrt.f64 2) (.f64 (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)) (+.f64 (sin.f64 y) (*.f64 -1/16 (sin.f64 x)))))
(.f64 (sqrt.f64 2) (.f64 (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)) (-.f64 (sin.f64 y) (*.f64 (sin.f64 x) 1/16))))
(.f64 (sqrt.f64 2) (.f64 (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)) (fma.f64 -1/16 (sin.f64 x) (sin.f64 y))))
(.f64 (fma.f64 -1/16 (sin.f64 x) (sin.f64 y)) (.f64 (sqrt.f64 2) (fma.f64 -1/16 (sin.f64 y) (sin.f64 x))))
(.f64 (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)) (.f64 (sqrt.f64 2) (fma.f64 -1/16 (sin.f64 x) (sin.f64 y))))
(.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x))) (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x))))
(.f64 (sqrt.f64 2) (.f64 (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)) (+.f64 (sin.f64 y) (*.f64 -1/16 (sin.f64 x)))))
(.f64 (sqrt.f64 2) (.f64 (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)) (-.f64 (sin.f64 y) (*.f64 (sin.f64 x) 1/16))))
(.f64 (sqrt.f64 2) (.f64 (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)) (fma.f64 -1/16 (sin.f64 x) (sin.f64 y))))
(.f64 (fma.f64 -1/16 (sin.f64 x) (sin.f64 y)) (.f64 (sqrt.f64 2) (fma.f64 -1/16 (sin.f64 y) (sin.f64 x))))
(.f64 (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)) (.f64 (sqrt.f64 2) (fma.f64 -1/16 (sin.f64 x) (sin.f64 y))))
(.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x))) (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x))))
(.f64 (sqrt.f64 2) (.f64 (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)) (+.f64 (sin.f64 y) (*.f64 -1/16 (sin.f64 x)))))
(.f64 (sqrt.f64 2) (.f64 (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)) (-.f64 (sin.f64 y) (*.f64 (sin.f64 x) 1/16))))
(.f64 (sqrt.f64 2) (.f64 (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)) (fma.f64 -1/16 (sin.f64 x) (sin.f64 y))))
(.f64 (fma.f64 -1/16 (sin.f64 x) (sin.f64 y)) (.f64 (sqrt.f64 2) (fma.f64 -1/16 (sin.f64 y) (sin.f64 x))))
(.f64 (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)) (.f64 (sqrt.f64 2) (fma.f64 -1/16 (sin.f64 x) (sin.f64 y))))
(.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x))) (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x))))
(.f64 (sqrt.f64 2) (.f64 (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)) (+.f64 (sin.f64 y) (*.f64 -1/16 (sin.f64 x)))))
(.f64 (sqrt.f64 2) (.f64 (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)) (-.f64 (sin.f64 y) (*.f64 (sin.f64 x) 1/16))))
(.f64 (sqrt.f64 2) (.f64 (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)) (fma.f64 -1/16 (sin.f64 x) (sin.f64 y))))
(.f64 (fma.f64 -1/16 (sin.f64 x) (sin.f64 y)) (.f64 (sqrt.f64 2) (fma.f64 -1/16 (sin.f64 y) (sin.f64 x))))
(.f64 (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)) (.f64 (sqrt.f64 2) (fma.f64 -1/16 (sin.f64 x) (sin.f64 y))))
(.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x))) (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x))))
(.f64 (sqrt.f64 2) (.f64 (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)) (+.f64 (sin.f64 y) (*.f64 -1/16 (sin.f64 x)))))
(.f64 (sqrt.f64 2) (.f64 (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)) (-.f64 (sin.f64 y) (*.f64 (sin.f64 x) 1/16))))
(.f64 (sqrt.f64 2) (.f64 (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)) (fma.f64 -1/16 (sin.f64 x) (sin.f64 y))))
(.f64 (fma.f64 -1/16 (sin.f64 x) (sin.f64 y)) (.f64 (sqrt.f64 2) (fma.f64 -1/16 (sin.f64 y) (sin.f64 x))))
(.f64 (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)) (.f64 (sqrt.f64 2) (fma.f64 -1/16 (sin.f64 x) (sin.f64 y))))

localize80.0ms (0.4%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.1b	(.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (*.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y))))
	0.1b	(+.f64 1 (*.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x)))
	0.1b	(*.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y))
	0.0b	(cos.f64 x)
✓	0.3b	(*.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))
✓	0.3b	(.f64 (sqrt.f64 2) (.f64 -1/16 (pow.f64 (sin.f64 x) 2)))
	1.0b	(-.f64 3 (sqrt.f64 5))
	2.6b	(-.f64 (cos.f64 x) (cos.f64 y))

Compiler

Compiled 209 to 155 computations (25.8% saved)

series5.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite55.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

692×	`log-prod_binary64`
380×	`pow2_binary64`
266×	`pow1/3_binary64`
265×	`expm1-udef_binary64`
265×	`log1p-udef_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	16	28
1	341	28
2	3890	26

Stop Event

1×	node limit

Counts

2 → 50

Calls

Call 1

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

Outputs

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

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

simplify46.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

793×	`distribute-lft-out_binary64`
669×	`distribute-rgt-in_binary64`
491×	`*-commutative_binary64`
473×	`+-commutative_binary64`
309×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	54	470
1	138	470
2	400	418
3	1471	398
4	3544	398
5	6138	398

Stop Event

1×	node limit

Counts

74 → 70

Calls

Call 1

Inputs
(.f64 -1/16 (.f64 (sqrt.f64 2) (pow.f64 x 2)))
(+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) (pow.f64 x 2))) (.f64 1/48 (.f64 (sqrt.f64 2) (pow.f64 x 4))))
(+.f64 (.f64 -1/360 (.f64 (sqrt.f64 2) (pow.f64 x 6))) (+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) (pow.f64 x 2))) (.f64 1/48 (.f64 (sqrt.f64 2) (pow.f64 x 4)))))
(+.f64 (.f64 -1/360 (.f64 (sqrt.f64 2) (pow.f64 x 6))) (+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) (pow.f64 x 2))) (+.f64 (.f64 1/48 (.f64 (sqrt.f64 2) (pow.f64 x 4))) (.f64 1/5040 (.f64 (sqrt.f64 2) (pow.f64 x 8))))))
(.f64 -1/16 (.f64 (sqrt.f64 2) (pow.f64 (sin.f64 x) 2)))
(.f64 -1/16 (.f64 (sqrt.f64 2) (pow.f64 (sin.f64 x) 2)))
(.f64 -1/16 (.f64 (sqrt.f64 2) (pow.f64 (sin.f64 x) 2)))
(.f64 -1/16 (.f64 (sqrt.f64 2) (pow.f64 (sin.f64 x) 2)))
(.f64 -1/16 (.f64 (sqrt.f64 2) (pow.f64 (sin.f64 x) 2)))
(.f64 -1/16 (.f64 (sqrt.f64 2) (pow.f64 (sin.f64 x) 2)))
(.f64 -1/16 (.f64 (sqrt.f64 2) (pow.f64 (sin.f64 x) 2)))
(.f64 -1/16 (.f64 (sqrt.f64 2) (pow.f64 (sin.f64 x) 2)))
(*.f64 1/2 (-.f64 (sqrt.f64 5) 1))
(+.f64 (.f64 -1/4 (.f64 (-.f64 (sqrt.f64 5) 1) (pow.f64 x 2))) (*.f64 1/2 (-.f64 (sqrt.f64 5) 1)))
(+.f64 (.f64 1/48 (.f64 (-.f64 (sqrt.f64 5) 1) (pow.f64 x 4))) (+.f64 (.f64 -1/4 (.f64 (-.f64 (sqrt.f64 5) 1) (pow.f64 x 2))) (*.f64 1/2 (-.f64 (sqrt.f64 5) 1))))
(+.f64 (.f64 1/48 (.f64 (-.f64 (sqrt.f64 5) 1) (pow.f64 x 4))) (+.f64 (.f64 -1/4 (.f64 (-.f64 (sqrt.f64 5) 1) (pow.f64 x 2))) (+.f64 (.f64 -1/1440 (.f64 (-.f64 (sqrt.f64 5) 1) (pow.f64 x 6))) (*.f64 1/2 (-.f64 (sqrt.f64 5) 1)))))
(.f64 1/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))
(.f64 1/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))
(.f64 1/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))
(.f64 1/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))
(.f64 1/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))
(.f64 1/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))
(.f64 1/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))
(.f64 1/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))

Outputs
(.f64 -1/16 (.f64 (sqrt.f64 2) (pow.f64 x 2)))
(.f64 -1/16 (.f64 (sqrt.f64 2) (*.f64 x x)))
(.f64 x (.f64 (sqrt.f64 2) (*.f64 -1/16 x)))
(+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) (pow.f64 x 2))) (.f64 1/48 (.f64 (sqrt.f64 2) (pow.f64 x 4))))
(fma.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 x x)) (.f64 1/48 (.f64 (sqrt.f64 2) (pow.f64 x 4))))
(fma.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 x x)) (.f64 (.f64 1/48 (pow.f64 x 4)) (sqrt.f64 2)))
(.f64 (sqrt.f64 2) (+.f64 (.f64 -1/16 (.f64 x x)) (.f64 1/48 (pow.f64 x 4))))
(.f64 (sqrt.f64 2) (.f64 (.f64 x x) (+.f64 -1/16 (.f64 (*.f64 x x) 1/48))))
(+.f64 (.f64 -1/360 (.f64 (sqrt.f64 2) (pow.f64 x 6))) (+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) (pow.f64 x 2))) (.f64 1/48 (.f64 (sqrt.f64 2) (pow.f64 x 4)))))
(fma.f64 -1/360 (.f64 (sqrt.f64 2) (pow.f64 x 6)) (fma.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 x x)) (.f64 1/48 (*.f64 (sqrt.f64 2) (pow.f64 x 4)))))
(fma.f64 -1/360 (.f64 (sqrt.f64 2) (pow.f64 x 6)) (fma.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 x x)) (.f64 (*.f64 1/48 (pow.f64 x 4)) (sqrt.f64 2))))
(fma.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 x x)) (.f64 (sqrt.f64 2) (+.f64 (.f64 -1/360 (pow.f64 x 6)) (*.f64 1/48 (pow.f64 x 4)))))
(.f64 (sqrt.f64 2) (+.f64 (.f64 (.f64 x x) (+.f64 -1/16 (.f64 (.f64 x x) 1/48))) (.f64 -1/360 (pow.f64 x 6))))
(.f64 (sqrt.f64 2) (+.f64 (.f64 -1/360 (pow.f64 x 6)) (.f64 (.f64 x x) (+.f64 -1/16 (.f64 (.f64 x x) 1/48)))))
(+.f64 (.f64 -1/360 (.f64 (sqrt.f64 2) (pow.f64 x 6))) (+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) (pow.f64 x 2))) (+.f64 (.f64 1/48 (.f64 (sqrt.f64 2) (pow.f64 x 4))) (.f64 1/5040 (.f64 (sqrt.f64 2) (pow.f64 x 8))))))
(fma.f64 -1/360 (.f64 (sqrt.f64 2) (pow.f64 x 6)) (fma.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 x x)) (fma.f64 1/48 (.f64 (sqrt.f64 2) (pow.f64 x 4)) (.f64 1/5040 (.f64 (sqrt.f64 2) (pow.f64 x 8))))))
(fma.f64 -1/360 (.f64 (sqrt.f64 2) (pow.f64 x 6)) (fma.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 x x)) (fma.f64 1/48 (.f64 (sqrt.f64 2) (pow.f64 x 4)) (.f64 (pow.f64 x 8) (.f64 (sqrt.f64 2) 1/5040)))))
(+.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 -1/16 (.f64 x x)) (.f64 1/48 (pow.f64 x 4)))) (.f64 (sqrt.f64 2) (+.f64 (.f64 1/5040 (pow.f64 x 8)) (*.f64 -1/360 (pow.f64 x 6)))))
(.f64 (sqrt.f64 2) (+.f64 (.f64 (pow.f64 x 6) (+.f64 (.f64 (.f64 x x) 1/5040) -1/360)) (.f64 (.f64 x x) (+.f64 -1/16 (.f64 (.f64 x x) 1/48)))))
(.f64 (sqrt.f64 2) (+.f64 (.f64 (.f64 x x) (+.f64 -1/16 (.f64 (.f64 x x) 1/48))) (.f64 (pow.f64 x 6) (+.f64 -1/360 (.f64 (.f64 x x) 1/5040)))))
(.f64 -1/16 (.f64 (sqrt.f64 2) (pow.f64 (sin.f64 x) 2)))
(.f64 (pow.f64 (sin.f64 x) 2) (.f64 -1/16 (sqrt.f64 2)))
(.f64 -1/16 (.f64 (sqrt.f64 2) (pow.f64 (sin.f64 x) 2)))
(.f64 (pow.f64 (sin.f64 x) 2) (.f64 -1/16 (sqrt.f64 2)))
(.f64 -1/16 (.f64 (sqrt.f64 2) (pow.f64 (sin.f64 x) 2)))
(.f64 (pow.f64 (sin.f64 x) 2) (.f64 -1/16 (sqrt.f64 2)))
(.f64 -1/16 (.f64 (sqrt.f64 2) (pow.f64 (sin.f64 x) 2)))
(.f64 (pow.f64 (sin.f64 x) 2) (.f64 -1/16 (sqrt.f64 2)))
(.f64 -1/16 (.f64 (sqrt.f64 2) (pow.f64 (sin.f64 x) 2)))
(.f64 (pow.f64 (sin.f64 x) 2) (.f64 -1/16 (sqrt.f64 2)))
(.f64 -1/16 (.f64 (sqrt.f64 2) (pow.f64 (sin.f64 x) 2)))
(.f64 (pow.f64 (sin.f64 x) 2) (.f64 -1/16 (sqrt.f64 2)))
(.f64 -1/16 (.f64 (sqrt.f64 2) (pow.f64 (sin.f64 x) 2)))
(.f64 (pow.f64 (sin.f64 x) 2) (.f64 -1/16 (sqrt.f64 2)))
(.f64 -1/16 (.f64 (sqrt.f64 2) (pow.f64 (sin.f64 x) 2)))
(.f64 (pow.f64 (sin.f64 x) 2) (.f64 -1/16 (sqrt.f64 2)))
(*.f64 1/2 (-.f64 (sqrt.f64 5) 1))
(*.f64 1/2 (+.f64 (sqrt.f64 5) -1))
(+.f64 (*.f64 (sqrt.f64 5) 1/2) -1/2)
(fma.f64 1/2 (sqrt.f64 5) -1/2)
(+.f64 (.f64 -1/4 (.f64 (-.f64 (sqrt.f64 5) 1) (pow.f64 x 2))) (*.f64 1/2 (-.f64 (sqrt.f64 5) 1)))
(fma.f64 -1/4 (.f64 (.f64 x x) (+.f64 (sqrt.f64 5) -1)) (*.f64 1/2 (+.f64 (sqrt.f64 5) -1)))
(fma.f64 1/2 (+.f64 (sqrt.f64 5) -1) (.f64 (.f64 x x) (*.f64 (+.f64 (sqrt.f64 5) -1) -1/4)))
(.f64 (+.f64 (sqrt.f64 5) -1) (+.f64 1/2 (.f64 x (*.f64 x -1/4))))
(+.f64 (.f64 1/48 (.f64 (-.f64 (sqrt.f64 5) 1) (pow.f64 x 4))) (+.f64 (.f64 -1/4 (.f64 (-.f64 (sqrt.f64 5) 1) (pow.f64 x 2))) (*.f64 1/2 (-.f64 (sqrt.f64 5) 1))))
(fma.f64 1/48 (.f64 (pow.f64 x 4) (+.f64 (sqrt.f64 5) -1)) (fma.f64 -1/4 (.f64 (.f64 x x) (+.f64 (sqrt.f64 5) -1)) (.f64 1/2 (+.f64 (sqrt.f64 5) -1))))
(fma.f64 1/48 (.f64 (pow.f64 x 4) (+.f64 (sqrt.f64 5) -1)) (fma.f64 1/2 (+.f64 (sqrt.f64 5) -1) (.f64 (.f64 x x) (.f64 (+.f64 (sqrt.f64 5) -1) -1/4))))
(fma.f64 (pow.f64 x 4) (fma.f64 1/48 (sqrt.f64 5) -1/48) (.f64 (+.f64 (sqrt.f64 5) -1) (+.f64 1/2 (.f64 x (*.f64 x -1/4)))))
(.f64 (+.f64 (sqrt.f64 5) -1) (+.f64 (.f64 1/48 (pow.f64 x 4)) (+.f64 1/2 (.f64 x (.f64 x -1/4)))))
(+.f64 (.f64 1/48 (.f64 (-.f64 (sqrt.f64 5) 1) (pow.f64 x 4))) (+.f64 (.f64 -1/4 (.f64 (-.f64 (sqrt.f64 5) 1) (pow.f64 x 2))) (+.f64 (.f64 -1/1440 (.f64 (-.f64 (sqrt.f64 5) 1) (pow.f64 x 6))) (*.f64 1/2 (-.f64 (sqrt.f64 5) 1)))))
(fma.f64 1/48 (.f64 (pow.f64 x 4) (+.f64 (sqrt.f64 5) -1)) (fma.f64 -1/4 (.f64 (.f64 x x) (+.f64 (sqrt.f64 5) -1)) (fma.f64 -1/1440 (.f64 (pow.f64 x 6) (+.f64 (sqrt.f64 5) -1)) (*.f64 1/2 (+.f64 (sqrt.f64 5) -1)))))
(fma.f64 1/48 (.f64 (pow.f64 x 4) (+.f64 (sqrt.f64 5) -1)) (fma.f64 -1/4 (.f64 (.f64 x x) (+.f64 (sqrt.f64 5) -1)) (fma.f64 -1/1440 (.f64 (pow.f64 x 6) (+.f64 (sqrt.f64 5) -1)) (+.f64 (*.f64 (sqrt.f64 5) 1/2) -1/2))))
(+.f64 (.f64 (+.f64 (sqrt.f64 5) -1) (+.f64 1/2 (.f64 (pow.f64 x 6) -1/1440))) (.f64 (+.f64 (sqrt.f64 5) -1) (+.f64 (.f64 x (.f64 x -1/4)) (.f64 1/48 (pow.f64 x 4)))))
(.f64 (+.f64 (sqrt.f64 5) -1) (+.f64 (+.f64 1/2 (.f64 (pow.f64 x 6) -1/1440)) (+.f64 (.f64 1/48 (pow.f64 x 4)) (.f64 x (*.f64 x -1/4)))))
(.f64 (+.f64 (sqrt.f64 5) -1) (+.f64 1/2 (+.f64 (.f64 1/48 (pow.f64 x 4)) (+.f64 (.f64 x (.f64 x -1/4)) (*.f64 (pow.f64 x 6) -1/1440)))))
(.f64 1/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))
(.f64 1/2 (.f64 (+.f64 (sqrt.f64 5) -1) (cos.f64 x)))
(*.f64 (fma.f64 1/2 (sqrt.f64 5) -1/2) (cos.f64 x))
(.f64 1/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))
(.f64 1/2 (.f64 (+.f64 (sqrt.f64 5) -1) (cos.f64 x)))
(*.f64 (fma.f64 1/2 (sqrt.f64 5) -1/2) (cos.f64 x))
(.f64 1/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))
(.f64 1/2 (.f64 (+.f64 (sqrt.f64 5) -1) (cos.f64 x)))
(*.f64 (fma.f64 1/2 (sqrt.f64 5) -1/2) (cos.f64 x))
(.f64 1/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))
(.f64 1/2 (.f64 (+.f64 (sqrt.f64 5) -1) (cos.f64 x)))
(*.f64 (fma.f64 1/2 (sqrt.f64 5) -1/2) (cos.f64 x))
(.f64 1/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))
(.f64 1/2 (.f64 (+.f64 (sqrt.f64 5) -1) (cos.f64 x)))
(*.f64 (fma.f64 1/2 (sqrt.f64 5) -1/2) (cos.f64 x))
(.f64 1/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))
(.f64 1/2 (.f64 (+.f64 (sqrt.f64 5) -1) (cos.f64 x)))
(*.f64 (fma.f64 1/2 (sqrt.f64 5) -1/2) (cos.f64 x))
(.f64 1/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))
(.f64 1/2 (.f64 (+.f64 (sqrt.f64 5) -1) (cos.f64 x)))
(*.f64 (fma.f64 1/2 (sqrt.f64 5) -1/2) (cos.f64 x))
(.f64 1/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))
(.f64 1/2 (.f64 (+.f64 (sqrt.f64 5) -1) (cos.f64 x)))
(*.f64 (fma.f64 1/2 (sqrt.f64 5) -1/2) (cos.f64 x))

localize127.0ms (0.6%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.1b	(-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))
	0.1b	(-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16))
	0.0b	(+.f64 2 (.f64 (.f64 (*.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (+.f64 (cos.f64 x) -1)))
	0.0b	(cos.f64 x)
	0.3b	(.f64 (.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16)))
	0.4b	(*.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)))
	1.0b	(-.f64 3 (sqrt.f64 5))
✓	1.7b	(+.f64 (cos.f64 x) -1)

Compiler

Compiled 266 to 186 computations (30.1% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(+.f64 (cos.f64 x) -1)
0.0ms	x	@	-inf	(+.f64 (cos.f64 x) -1)
0.0ms	x	@	inf	(+.f64 (cos.f64 x) -1)

rewrite36.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

544×	`pow1_binary64`
530×	`add-sqr-sqrt_binary64`
505×	`add-log-exp_binary64`
505×	`log1p-expm1-u_binary64`
505×	`expm1-log1p-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	6
1	104	6
2	1297	6

Stop Event

1×	node limit

Counts

1 → 31

Calls

Call 1

Inputs
(+.f64 (cos.f64 x) -1)

Outputs

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

simplify84.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

601×	`distribute-rgt-out_binary64`
532×	`sqr-pow_binary64`
486×	`associate-+l+_binary64`
477×	`distribute-lft-out_binary64`
413×	`unswap-sqr_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	118
1	63	118
2	135	118
3	427	118
4	1930	118
5	4333	118
6	4712	118
7	5218	118
8	6208	118
9	7192	118
10	7627	118

Stop Event

1×	node limit

Counts

43 → 41

Calls

Call 1

Inputs
(*.f64 -1/2 (pow.f64 x 2))
(+.f64 (.f64 1/24 (pow.f64 x 4)) (.f64 -1/2 (pow.f64 x 2)))
(+.f64 (.f64 1/24 (pow.f64 x 4)) (+.f64 (.f64 -1/2 (pow.f64 x 2)) (*.f64 -1/720 (pow.f64 x 6))))
(+.f64 (.f64 1/24 (pow.f64 x 4)) (+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/720 (pow.f64 x 6)) (.f64 1/40320 (pow.f64 x 8)))))
(-.f64 (cos.f64 x) 1)
(-.f64 (cos.f64 x) 1)
(-.f64 (cos.f64 x) 1)
(-.f64 (cos.f64 x) 1)
(-.f64 (cos.f64 x) 1)
(-.f64 (cos.f64 x) 1)
(-.f64 (cos.f64 x) 1)
(-.f64 (cos.f64 x) 1)

Outputs
(*.f64 -1/2 (pow.f64 x 2))
(.f64 -1/2 (.f64 x x))
(+.f64 (.f64 1/24 (pow.f64 x 4)) (.f64 -1/2 (pow.f64 x 2)))
(fma.f64 1/24 (pow.f64 x 4) (.f64 -1/2 (.f64 x x)))
(fma.f64 -1/2 (.f64 x x) (.f64 1/24 (pow.f64 x 4)))
(.f64 x (.f64 x (fma.f64 (*.f64 x x) 1/24 -1/2)))
(.f64 (.f64 x x) (fma.f64 x (*.f64 x 1/24) -1/2))
(+.f64 (.f64 1/24 (pow.f64 x 4)) (+.f64 (.f64 -1/2 (pow.f64 x 2)) (*.f64 -1/720 (pow.f64 x 6))))
(fma.f64 1/24 (pow.f64 x 4) (fma.f64 -1/2 (.f64 x x) (.f64 -1/720 (pow.f64 x 6))))
(fma.f64 -1/2 (.f64 x x) (fma.f64 -1/720 (pow.f64 x 6) (.f64 1/24 (pow.f64 x 4))))
(fma.f64 1/24 (pow.f64 x 4) (fma.f64 -1/720 (pow.f64 x 6) (.f64 -1/2 (.f64 x x))))
(fma.f64 -1/2 (.f64 x x) (fma.f64 1/24 (pow.f64 x 4) (.f64 -1/720 (pow.f64 x 6))))
(+.f64 (.f64 1/24 (pow.f64 x 4)) (+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/720 (pow.f64 x 6)) (.f64 1/40320 (pow.f64 x 8)))))
(fma.f64 1/24 (pow.f64 x 4) (fma.f64 -1/2 (.f64 x x) (fma.f64 -1/720 (pow.f64 x 6) (.f64 1/40320 (pow.f64 x 8)))))
(fma.f64 1/24 (pow.f64 x 4) (fma.f64 -1/720 (pow.f64 x 6) (fma.f64 1/40320 (pow.f64 x 8) (.f64 -1/2 (.f64 x x)))))
(fma.f64 (pow.f64 x 4) (fma.f64 (pow.f64 x 4) 1/40320 1/24) (fma.f64 -1/720 (pow.f64 x 6) (.f64 -1/2 (.f64 x x))))
(fma.f64 -1/2 (.f64 x x) (fma.f64 1/24 (pow.f64 x 4) (fma.f64 -1/720 (pow.f64 x 6) (.f64 1/40320 (pow.f64 x 8)))))
(-.f64 (cos.f64 x) 1)
(+.f64 (cos.f64 x) -1)
(-.f64 (cos.f64 x) 1)
(+.f64 (cos.f64 x) -1)
(-.f64 (cos.f64 x) 1)
(+.f64 (cos.f64 x) -1)
(-.f64 (cos.f64 x) 1)
(+.f64 (cos.f64 x) -1)
(-.f64 (cos.f64 x) 1)
(+.f64 (cos.f64 x) -1)
(-.f64 (cos.f64 x) 1)
(+.f64 (cos.f64 x) -1)
(-.f64 (cos.f64 x) 1)
(+.f64 (cos.f64 x) -1)
(-.f64 (cos.f64 x) 1)
(+.f64 (cos.f64 x) -1)

localize122.0ms (0.6%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.1b	(-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))
	0.1b	(-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16))
	0.0b	(+.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))))
	0.0b	(cos.f64 x)
	0.3b	(.f64 (.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16)))
	0.4b	(*.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)))
	1.0b	(-.f64 3 (sqrt.f64 5))
	2.6b	(-.f64 (cos.f64 x) (cos.f64 y))

Compiler

Compiled 290 to 199 computations (31.4% saved)

rewrite0.0ms (0%)

Counts: 0 → 0

simplify7.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

0 → 0

Calls

Call 1

Inputs

Outputs

localize82.0ms (0.4%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.1b	(+.f64 (sin.f64 x) (*.f64 -1/16 (sin.f64 y)))
	0.1b	(fma.f64 (cos.f64 y) (/.f64 9 (+.f64 9/2 (sqrt.f64 45/4))) 3)
	0.0b	(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)
	0.0b	(cos.f64 x)
✓	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 (+.f64 9/2 (sqrt.f64 45/4))) 3)))
	0.3b	(.f64 (+.f64 (sin.f64 y) (.f64 -1/16 (sin.f64 x))) (-.f64 (cos.f64 x) (cos.f64 y)))
	1.0b	(/.f64 (+.f64 (sqrt.f64 5) -1) 2/3)
	2.6b	(-.f64 (cos.f64 x) (cos.f64 y))

Compiler

Compiled 207 to 127 computations (38.6% saved)

series15.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
3.0ms	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 (+.f64 9/2 (sqrt.f64 45/4))) 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 (+.f64 9/2 (sqrt.f64 45/4))) 3)))
3.0ms	x	@	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 (+.f64 9/2 (sqrt.f64 45/4))) 3)))
2.0ms	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 (+.f64 9/2 (sqrt.f64 45/4))) 3)))
2.0ms	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 (+.f64 9/2 (sqrt.f64 45/4))) 3)))

rewrite39.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

381×	`add-sqr-sqrt_binary64`
361×	`*-un-lft-identity_binary64`
361×	`pow1_binary64`
357×	`add-cbrt-cube_binary64`
357×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	34	71
1	759	67

Stop Event

1×	node limit

Counts

1 → 19

Calls

Call 1

Inputs

(/.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 (+.f64 9/2 (sqrt.f64 45/4))) 3)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 (sqrt.f64 2) (*.f64 (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)) (*.f64 (fma.f64 (sin.f64 x) -1/16 (sin.f64 y)) (-.f64 (cos.f64 x) (cos.f64 y)))) 2) (fma.f64 (cos.f64 x) (*.f64 (+.f64 (sqrt.f64 5) -1) 3/2) (fma.f64 (cos.f64 y) (/.f64 9 (+.f64 9/2 (sqrt.f64 45/4))) 3))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (sqrt.f64 2) (*.f64 (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)) (*.f64 (fma.f64 (sin.f64 x) -1/16 (sin.f64 y)) (-.f64 (cos.f64 x) (cos.f64 y)))) 2) (/.f64 1 (fma.f64 (cos.f64 x) (*.f64 (+.f64 (sqrt.f64 5) -1) 3/2) (fma.f64 (cos.f64 y) (/.f64 9 (+.f64 9/2 (sqrt.f64 45/4))) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (fma.f64 (sqrt.f64 2) (*.f64 (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)) (*.f64 (fma.f64 (sin.f64 x) -1/16 (sin.f64 y)) (-.f64 (cos.f64 x) (cos.f64 y)))) 2) (fma.f64 (cos.f64 x) (*.f64 (+.f64 (sqrt.f64 5) -1) 3/2) (fma.f64 (cos.f64 y) (/.f64 9 (+.f64 9/2 (sqrt.f64 45/4))) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 (sqrt.f64 2) (*.f64 (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)) (*.f64 (fma.f64 (sin.f64 x) -1/16 (sin.f64 y)) (-.f64 (cos.f64 x) (cos.f64 y)))) 2) (fma.f64 (cos.f64 x) (*.f64 (+.f64 (sqrt.f64 5) -1) 3/2) (fma.f64 (cos.f64 y) (/.f64 9 (+.f64 9/2 (sqrt.f64 45/4))) 3)))) 2) (cbrt.f64 (/.f64 (fma.f64 (sqrt.f64 2) (*.f64 (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)) (*.f64 (fma.f64 (sin.f64 x) -1/16 (sin.f64 y)) (-.f64 (cos.f64 x) (cos.f64 y)))) 2) (fma.f64 (cos.f64 x) (*.f64 (+.f64 (sqrt.f64 5) -1) 3/2) (fma.f64 (cos.f64 y) (/.f64 9 (+.f64 9/2 (sqrt.f64 45/4))) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (fma.f64 (sqrt.f64 2) (*.f64 (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)) (*.f64 (fma.f64 (sin.f64 x) -1/16 (sin.f64 y)) (-.f64 (cos.f64 x) (cos.f64 y)))) 2) (fma.f64 (cos.f64 x) (*.f64 (+.f64 (sqrt.f64 5) -1) 3/2) (fma.f64 (cos.f64 y) (/.f64 9 (+.f64 9/2 (sqrt.f64 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simplify59.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

944×	`distribute-lft-in_binary64`
944×	`distribute-rgt-in_binary64`
720×	`fma-def_binary64`
343×	`associate-/l*_binary64`
266×	`times-frac_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	166	2932
1	553	2844
2	2136	2679

Stop Event

1×	node limit

Counts

43 → 37

Calls

Call 1

Inputs
(/.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 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4)))))))
(+.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 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4)))))))) (+.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 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4))))))) (.f64 2 (/.f64 1 (+.f64 (.f64 3/2 (-.f64 (sqrt.f64 5) 1)) (+.f64 3 (.f64 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4))))))))))
(+.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 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4)))))))) (+.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 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4))))))) (+.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 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4))))))) (.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)) (.f64 (+.f64 (.f64 3/2 (-.f64 (sqrt.f64 5) 1)) (+.f64 3 (.f64 9 (/.f64 (cos.f64 y) (+.f64 (sqrt.f64 45/4) 9/2))))) (+.f64 (.f64 3/2 (-.f64 (sqrt.f64 5) 1)) (+.f64 3 (.f64 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4)))))))))) (pow.f64 x 2)) (.f64 2 (/.f64 1 (+.f64 (.f64 3/2 (-.f64 (sqrt.f64 5) 1)) (+.f64 3 (.f64 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4)))))))))))
(+.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 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4)))))))) (+.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 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4))))))) (+.f64 (.f64 (pow.f64 x 3) (-.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 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4))))))) (.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))))) (.f64 (+.f64 (.f64 3/2 (-.f64 (sqrt.f64 5) 1)) (+.f64 3 (.f64 9 (/.f64 (cos.f64 y) (+.f64 (sqrt.f64 45/4) 9/2))))) (+.f64 (.f64 3/2 (-.f64 (sqrt.f64 5) 1)) (+.f64 3 (.f64 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4))))))))))) (+.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 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4))))))) (.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)) (.f64 (+.f64 (.f64 3/2 (-.f64 (sqrt.f64 5) 1)) (+.f64 3 (.f64 9 (/.f64 (cos.f64 y) (+.f64 (sqrt.f64 45/4) 9/2))))) (+.f64 (.f64 3/2 (-.f64 (sqrt.f64 5) 1)) (+.f64 3 (.f64 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4)))))))))) (pow.f64 x 2)) (.f64 2 (/.f64 1 (+.f64 (.f64 3/2 (-.f64 (sqrt.f64 5) 1)) (+.f64 3 (*.f64 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4))))))))))))
(/.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 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4)))) (.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 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4)))) (.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 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4)))) (.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 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4)))) (.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 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4)))) (.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 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4)))) (.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 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4)))) (.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 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4)))) (.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 3 (+.f64 (.f64 9 (/.f64 1 (+.f64 9/2 (sqrt.f64 45/4)))) (.f64 3/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))))))
(+.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 3 (+.f64 (.f64 9 (/.f64 1 (+.f64 9/2 (sqrt.f64 45/4)))) (.f64 3/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))))) (+.f64 (.f64 -1/16 (/.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))) (+.f64 3 (+.f64 (.f64 9 (/.f64 1 (+.f64 9/2 (sqrt.f64 45/4)))) (.f64 3/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))))))) (.f64 2 (/.f64 1 (+.f64 3 (+.f64 (.f64 9 (/.f64 1 (+.f64 9/2 (sqrt.f64 45/4)))) (.f64 3/2 (*.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))))))))
(+.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 3 (+.f64 (.f64 9 (/.f64 1 (+.f64 9/2 (sqrt.f64 45/4)))) (.f64 3/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))))) (+.f64 (.f64 (-.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 3 (+.f64 (.f64 9 (/.f64 1 (+.f64 9/2 (sqrt.f64 45/4)))) (.f64 3/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))))) (.f64 -9/2 (/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (.f64 (+.f64 9/2 (sqrt.f64 45/4)) (.f64 (+.f64 3 (+.f64 (.f64 9 (/.f64 1 (+.f64 9/2 (sqrt.f64 45/4)))) (.f64 3/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))))) (+.f64 3 (+.f64 (.f64 9 (/.f64 1 (+.f64 (sqrt.f64 45/4) 9/2))) (.f64 3/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))))))))) (pow.f64 y 2)) (+.f64 (.f64 -1/16 (/.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))) (+.f64 3 (+.f64 (.f64 9 (/.f64 1 (+.f64 9/2 (sqrt.f64 45/4)))) (.f64 3/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))))))) (.f64 2 (/.f64 1 (+.f64 3 (+.f64 (.f64 9 (/.f64 1 (+.f64 9/2 (sqrt.f64 45/4)))) (.f64 3/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))))))))))
(+.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 3 (+.f64 (.f64 9 (/.f64 1 (+.f64 9/2 (sqrt.f64 45/4)))) (.f64 3/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))))) (+.f64 (.f64 (-.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 3 (+.f64 (.f64 9 (/.f64 1 (+.f64 9/2 (sqrt.f64 45/4)))) (.f64 3/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))))) (.f64 -9/2 (/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (.f64 (+.f64 9/2 (sqrt.f64 45/4)) (.f64 (+.f64 3 (+.f64 (.f64 9 (/.f64 1 (+.f64 9/2 (sqrt.f64 45/4)))) (.f64 3/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))))) (+.f64 3 (+.f64 (.f64 9 (/.f64 1 (+.f64 (sqrt.f64 45/4) 9/2))) (.f64 3/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))))))))) (pow.f64 y 2)) (+.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 3 (+.f64 (.f64 9 (/.f64 1 (+.f64 9/2 (sqrt.f64 45/4)))) (.f64 3/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))))) (.f64 -9/2 (/.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) 1) (+.f64 (.f64 1/256 (sin.f64 x)) (sin.f64 x)))) (.f64 (+.f64 9/2 (sqrt.f64 45/4)) (.f64 (+.f64 3 (+.f64 (.f64 9 (/.f64 1 (+.f64 9/2 (sqrt.f64 45/4)))) (.f64 3/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))))) (+.f64 3 (+.f64 (.f64 9 (/.f64 1 (+.f64 (sqrt.f64 45/4) 9/2))) (.f64 3/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))))))))))) (+.f64 (.f64 -1/16 (/.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))) (+.f64 3 (+.f64 (.f64 9 (/.f64 1 (+.f64 9/2 (sqrt.f64 45/4)))) (.f64 3/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))))))) (.f64 2 (/.f64 1 (+.f64 3 (+.f64 (.f64 9 (/.f64 1 (+.f64 9/2 (sqrt.f64 45/4)))) (.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 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4)))) (.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 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4)))) (.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 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4)))) (.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 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4)))) (.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 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4)))) (.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 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4)))) (.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 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4)))) (.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 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4)))) (.f64 3/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))))))

Outputs
(/.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 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4)))))))
(/.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 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4)))))))
(/.f64 (fma.f64 (.f64 -1/16 (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) (fma.f64 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4))) 3)))
(/.f64 (fma.f64 -1/16 (.f64 (-.f64 1 (cos.f64 y)) (.f64 (pow.f64 (sin.f64 y) 2) (sqrt.f64 2))) 2) (+.f64 (fma.f64 3/2 (sqrt.f64 5) -3/2) (fma.f64 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4))) 3)))
(+.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 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4)))))))) (+.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 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4))))))) (.f64 2 (/.f64 1 (+.f64 (.f64 3/2 (-.f64 (sqrt.f64 5) 1)) (+.f64 3 (.f64 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4))))))))))
(fma.f64 -1/16 (/.f64 (sqrt.f64 2) (/.f64 (fma.f64 3/2 (+.f64 (sqrt.f64 5) -1) (+.f64 3 (.f64 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4)))))) (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2)))) (+.f64 (/.f64 (sqrt.f64 2) (/.f64 (fma.f64 3/2 (+.f64 (sqrt.f64 5) -1) (+.f64 3 (.f64 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4)))))) (.f64 (-.f64 1 (cos.f64 y)) (.f64 (.f64 257/256 (sin.f64 y)) x)))) (/.f64 2 (fma.f64 3/2 (+.f64 (sqrt.f64 5) -1) (+.f64 3 (*.f64 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4)))))))))
(+.f64 (/.f64 2 (fma.f64 3/2 (+.f64 (sqrt.f64 5) -1) (fma.f64 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4))) 3))) (fma.f64 -1/16 (.f64 (/.f64 (sqrt.f64 2) (fma.f64 3/2 (+.f64 (sqrt.f64 5) -1) (fma.f64 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4))) 3))) (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2))) (.f64 (/.f64 (sqrt.f64 2) (fma.f64 3/2 (+.f64 (sqrt.f64 5) -1) (fma.f64 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4))) 3))) (.f64 (-.f64 1 (cos.f64 y)) (.f64 (.f64 x 257/256) (sin.f64 y))))))
(fma.f64 -1/16 (.f64 (/.f64 (sqrt.f64 2) (+.f64 (fma.f64 3/2 (sqrt.f64 5) -3/2) (fma.f64 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4))) 3))) (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2))) (fma.f64 (/.f64 (sqrt.f64 2) (+.f64 (fma.f64 3/2 (sqrt.f64 5) -3/2) (fma.f64 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4))) 3))) (.f64 (-.f64 1 (cos.f64 y)) (.f64 (*.f64 (sin.f64 y) 257/256) x)) (/.f64 2 (+.f64 (fma.f64 3/2 (sqrt.f64 5) -3/2) (fma.f64 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4))) 3)))))
(+.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 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4)))))))) (+.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 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4))))))) (+.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 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4))))))) (.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)) (.f64 (+.f64 (.f64 3/2 (-.f64 (sqrt.f64 5) 1)) (+.f64 3 (.f64 9 (/.f64 (cos.f64 y) (+.f64 (sqrt.f64 45/4) 9/2))))) (+.f64 (.f64 3/2 (-.f64 (sqrt.f64 5) 1)) (+.f64 3 (.f64 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4)))))))))) (pow.f64 x 2)) (.f64 2 (/.f64 1 (+.f64 (.f64 3/2 (-.f64 (sqrt.f64 5) 1)) (+.f64 3 (.f64 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4)))))))))))
(fma.f64 -1/16 (/.f64 (sqrt.f64 2) (/.f64 (fma.f64 3/2 (+.f64 (sqrt.f64 5) -1) (+.f64 3 (.f64 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4)))))) (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2)))) (+.f64 (/.f64 (sqrt.f64 2) (/.f64 (fma.f64 3/2 (+.f64 (sqrt.f64 5) -1) (+.f64 3 (.f64 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4)))))) (.f64 (-.f64 1 (cos.f64 y)) (.f64 (.f64 257/256 (sin.f64 y)) x)))) (fma.f64 (+.f64 (/.f64 (sqrt.f64 2) (/.f64 (fma.f64 3/2 (+.f64 (sqrt.f64 5) -1) (+.f64 3 (.f64 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4)))))) (fma.f64 1/32 (pow.f64 (sin.f64 y) 2) (.f64 -1/16 (-.f64 1 (cos.f64 y)))))) (.f64 3/4 (.f64 (/.f64 (+.f64 (sqrt.f64 5) -1) (fma.f64 3/2 (+.f64 (sqrt.f64 5) -1) (+.f64 3 (.f64 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4))))))) (/.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 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4)))))))))) (.f64 x x) (/.f64 2 (fma.f64 3/2 (+.f64 (sqrt.f64 5) -1) (+.f64 3 (.f64 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4))))))))))
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(/.f64 (fma.f64 (sqrt.f64 2) (.f64 (fma.f64 -1/16 (sin.f64 x) (sin.f64 y)) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)))) 2) (fma.f64 (fma.f64 3/2 (sqrt.f64 5) -3/2) (cos.f64 x) (fma.f64 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4))) 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 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4)))) (.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 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4))) (.f64 3/2 (.f64 (+.f64 (sqrt.f64 5) -1) (cos.f64 x))))))
(/.f64 (fma.f64 (sqrt.f64 2) (.f64 (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (fma.f64 -1/16 (sin.f64 x) (sin.f64 y))) (fma.f64 -1/16 (sin.f64 y) (sin.f64 x))) 2) (+.f64 3 (fma.f64 3/2 (.f64 (+.f64 (sqrt.f64 5) -1) (cos.f64 x)) (.f64 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4)))))))
(/.f64 (fma.f64 (sqrt.f64 2) (.f64 (fma.f64 -1/16 (sin.f64 x) (sin.f64 y)) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)))) 2) (fma.f64 (fma.f64 3/2 (sqrt.f64 5) -3/2) (cos.f64 x) (fma.f64 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4))) 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 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4)))) (.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 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4))) (.f64 3/2 (.f64 (+.f64 (sqrt.f64 5) -1) (cos.f64 x))))))
(/.f64 (fma.f64 (sqrt.f64 2) (.f64 (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (fma.f64 -1/16 (sin.f64 x) (sin.f64 y))) (fma.f64 -1/16 (sin.f64 y) (sin.f64 x))) 2) (+.f64 3 (fma.f64 3/2 (.f64 (+.f64 (sqrt.f64 5) -1) (cos.f64 x)) (.f64 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4)))))))
(/.f64 (fma.f64 (sqrt.f64 2) (.f64 (fma.f64 -1/16 (sin.f64 x) (sin.f64 y)) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)))) 2) (fma.f64 (fma.f64 3/2 (sqrt.f64 5) -3/2) (cos.f64 x) (fma.f64 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4))) 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 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4)))) (.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 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4))) (.f64 3/2 (.f64 (+.f64 (sqrt.f64 5) -1) (cos.f64 x))))))
(/.f64 (fma.f64 (sqrt.f64 2) (.f64 (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (fma.f64 -1/16 (sin.f64 x) (sin.f64 y))) (fma.f64 -1/16 (sin.f64 y) (sin.f64 x))) 2) (+.f64 3 (fma.f64 3/2 (.f64 (+.f64 (sqrt.f64 5) -1) (cos.f64 x)) (.f64 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4)))))))
(/.f64 (fma.f64 (sqrt.f64 2) (.f64 (fma.f64 -1/16 (sin.f64 x) (sin.f64 y)) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)))) 2) (fma.f64 (fma.f64 3/2 (sqrt.f64 5) -3/2) (cos.f64 x) (fma.f64 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4))) 3)))

eval999.0ms (4.8%)

Compiler: Compiled 48277 to 33824 computations (29.9% saved)

prune574.0ms (2.7%)

Pruning

42 alts after pruning (39 fresh and 3 done)

	Pruned	Kept	Total
New	830	29	859
Fresh	19	10	29
Picked	1	0	1
Done	2	3	5
Total	852	42	894

Error

0.0b

Counts

894 → 42

Alt Table

Click to see full alt table

Status	Error	Program
	23.1b	(/.f64 (fma.f64 (sqrt.f64 2) (.f64 (+.f64 (sin.f64 x) (.f64 -1/16 (sin.f64 y))) (*.f64 (sin.f64 y) (-.f64 1 (cos.f64 y)))) 2) (fma.f64 (cos.f64 x) (/.f64 (+.f64 (sqrt.f64 5) -1) 2/3) (fma.f64 (cos.f64 y) (/.f64 9 (+.f64 9/2 (sqrt.f64 45/4))) 3)))
	0.4b	(/.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))) (pow.f64 (cbrt.f64 (-.f64 (cos.f64 x) (cos.f64 y))) 3))) 2) (fma.f64 (cos.f64 x) (/.f64 (+.f64 (sqrt.f64 5) -1) 2/3) (fma.f64 (cos.f64 y) (-.f64 9/2 (/.f64 (sqrt.f64 5) 2/3)) 3)))
	22.3b	(/.f64 (+.f64 2 (.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))) (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x))))) (+.f64 (cos.f64 x) -1))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
	32.9b	(/.f64 (+.f64 2 (.f64 (.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) (sin.f64 y))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (+.f64 (cos.f64 x) -1))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (*.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
	22.5b	(/.f64 (+.f64 2 (.f64 (.f64 (sqrt.f64 2) (.f64 -1/16 (pow.f64 (sin.f64 x) 2))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (pow.f64 (cbrt.f64 (.f64 (fma.f64 (sqrt.f64 5) 1/2 -1/2) (cos.f64 x))) 3)) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
	0.5b	(expm1.f64 (log1p.f64 (/.f64 (fma.f64 (sqrt.f64 2) (.f64 (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)) (.f64 (fma.f64 (sin.f64 x) -1/16 (sin.f64 y)) (-.f64 (cos.f64 x) (cos.f64 y)))) 2) (fma.f64 (cos.f64 x) (*.f64 (+.f64 (sqrt.f64 5) -1) 3/2) (fma.f64 (cos.f64 y) (/.f64 9 (+.f64 9/2 (sqrt.f64 45/4))) 3)))))
	22.2b	(/.f64 (+.f64 2 (.f64 (.f64 (sqrt.f64 2) (.f64 -1/16 (pow.f64 (sin.f64 x) 2))) (-.f64 (cos.f64 x) 1))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
	29.5b	(/.f64 (+.f64 2 (.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 (sin.f64 x) (+.f64 (.f64 y 257/256) (.f64 -1/16 (sin.f64 x)))) (.f64 y (.f64 -1/16 y)))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
	0.4b	(.f64 (fma.f64 (sqrt.f64 2) (.f64 (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)) (.f64 (fma.f64 (sin.f64 x) -1/16 (sin.f64 y)) (-.f64 (cos.f64 x) (cos.f64 y)))) 2) (/.f64 1 (fma.f64 (cos.f64 x) (.f64 (+.f64 (sqrt.f64 5) -1) 3/2) (fma.f64 (cos.f64 y) (/.f64 9 (+.f64 9/2 (sqrt.f64 45/4))) 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)))))
	22.2b	(/.f64 (+.f64 2 (.f64 (.f64 (sqrt.f64 2) (.f64 -1/16 (pow.f64 (sin.f64 x) 2))) (.f64 (.f64 -2 (sin.f64 (.f64 (-.f64 x y) 1/2))) (sin.f64 (.f64 (+.f64 x y) 1/2))))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
	25.3b	(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (sin.f64 x)) (+.f64 (.f64 -1/16 (sin.f64 x)) (.f64 y 257/256))) (+.f64 (cos.f64 x) -1))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
✓	0.4b	(/.f64 (+.f64 2 (.f64 (.f64 (log1p.f64 (expm1.f64 (.f64 (sqrt.f64 2) (+.f64 (sin.f64 x) (.f64 (sin.f64 y) -1/16))))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (*.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
▶	24.9b	(/.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 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4)))))))
	0.4b	(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (pow.f64 (cbrt.f64 (-.f64 (cos.f64 x) (cos.f64 y))) 3))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
	0.4b	(/.f64 (fma.f64 (sqrt.f64 2) (.f64 (+.f64 (sin.f64 x) (.f64 -1/16 (sin.f64 y))) (pow.f64 (cbrt.f64 (*.f64 (fma.f64 -1/16 (sin.f64 x) (sin.f64 y)) (-.f64 (cos.f64 x) (cos.f64 y)))) 3)) 2) (fma.f64 (cos.f64 x) (/.f64 (+.f64 (sqrt.f64 5) -1) 2/3) (fma.f64 (cos.f64 y) (/.f64 9 (+.f64 9/2 (sqrt.f64 45/4))) 3)))
	0.4b	(/.f64 (+.f64 2 (.f64 (log.f64 (+.f64 1 (expm1.f64 (.f64 (sqrt.f64 2) (.f64 (+.f64 (sin.f64 x) (.f64 (sin.f64 y) -1/16)) (+.f64 (sin.f64 y) (.f64 (sin.f64 x) -1/16))))))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (log.f64 (exp.f64 (-.f64 3 (sqrt.f64 5)))) 2) (cos.f64 y)))))
	0.3b	(/.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) (pow.f64 (*.f64 1/6 (+.f64 (sqrt.f64 5) 1)) -1) (fma.f64 (cos.f64 y) (/.f64 9 (+.f64 9/2 (sqrt.f64 45/4))) 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))) (fma.f64 (cbrt.f64 (cos.f64 x)) (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (neg.f64 (cos.f64 y))))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
	32.9b	(/.f64 (+.f64 2 (.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) (pow.f64 (sin.f64 y) 2))) (+.f64 (cos.f64 x) -1))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
	22.3b	(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (sin.f64 x)) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (+.f64 (cos.f64 x) -1))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
▶	22.2b	(/.f64 (+.f64 2 (.f64 (.f64 (sqrt.f64 2) (.f64 -1/16 (pow.f64 (sin.f64 x) 2))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (/.f64 (cos.f64 x) (.f64 1/2 (+.f64 (sqrt.f64 5) 1)))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
	0.6b	(log.f64 (exp.f64 (/.f64 (fma.f64 (sqrt.f64 2) (.f64 (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)) (.f64 (fma.f64 (sin.f64 x) -1/16 (sin.f64 y)) (-.f64 (cos.f64 x) (cos.f64 y)))) 2) (fma.f64 (cos.f64 x) (*.f64 (+.f64 (sqrt.f64 5) -1) 3/2) (fma.f64 (cos.f64 y) (/.f64 9 (+.f64 9/2 (sqrt.f64 45/4))) 3)))))
	0.4b	(/.f64 (+.f64 2 (.f64 (pow.f64 (cbrt.f64 (.f64 (sqrt.f64 2) (.f64 (+.f64 (sin.f64 x) (.f64 (sin.f64 y) -1/16)) (+.f64 (sin.f64 y) (.f64 (sin.f64 x) -1/16))))) 3) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
	33.2b	(/.f64 (+.f64 2 (.f64 (sqrt.f64 (.f64 2 (.f64 (pow.f64 (sin.f64 x) 4) 1/256))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
	0.4b	(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (/.f64 4 (+.f64 3 (sqrt.f64 5))) 2) (cos.f64 y)))))
	33.0b	(/.f64 (+.f64 2 (.f64 (.f64 (sqrt.f64 2) (.f64 -1/16 (pow.f64 (sin.f64 x) 2))) (-.f64 1 (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
▶	23.1b	(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 1 (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
	28.2b	(/.f64 (+.f64 2 (.f64 (.f64 (sqrt.f64 2) (.f64 (sin.f64 y) (+.f64 (.f64 x 257/256) (.f64 -1/16 (sin.f64 y))))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
	25.3b	(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (+.f64 (sin.f64 x) (.f64 y -1/16))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (+.f64 (cos.f64 x) -1))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (*.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
	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 (+.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 (fma.f64 (sin.f64 x) -1/16 (sin.f64 y)) (-.f64 (cos.f64 x) (cos.f64 y)))) 2)) -1)
	23.5b	(/.f64 (fma.f64 (*.f64 (sqrt.f64 2) (pow.f64 (sin.f64 x) 2)) (fma.f64 -1/16 (cos.f64 x) 1/16) 2) (fma.f64 (fma.f64 3/2 (sqrt.f64 5) -3/2) (cos.f64 x) (+.f64 3 (/.f64 9 (+.f64 9/2 (sqrt.f64 45/4))))))
	0.5b	(pow.f64 (sqrt.f64 (/.f64 (fma.f64 (sqrt.f64 2) (.f64 (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)) (.f64 (fma.f64 (sin.f64 x) -1/16 (sin.f64 y)) (-.f64 (cos.f64 x) (cos.f64 y)))) 2) (fma.f64 (cos.f64 x) (*.f64 (+.f64 (sqrt.f64 5) -1) 3/2) (fma.f64 (cos.f64 y) (/.f64 9 (+.f64 9/2 (sqrt.f64 45/4))) 3)))) 2)
	23.4b	(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (+.f64 3 (+.f64 (.f64 9 (/.f64 1 (+.f64 9/2 (sqrt.f64 45/4)))) (.f64 3/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))))))
	28.7b	(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (+.f64 (sin.f64 x) (.f64 y -1/16))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (*.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
	23.0b	(/.f64 (+.f64 2 (.f64 (.f64 (sqrt.f64 2) (.f64 -1/16 (pow.f64 (sin.f64 y) 2))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
▶	0.3b	(/.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 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4)))) (.f64 3/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))))))
✓	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 (log.f64 (exp.f64 (-.f64 3 (sqrt.f64 5)))) 2) (cos.f64 y)))))
▶	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 (neg.f64 (sqrt.f64 45/4))) 3)))
	7.8b	(/.f64 (+.f64 2 (.f64 (.f64 (-.f64 (exp.f64 (log1p.f64 (.f64 (sqrt.f64 2) (+.f64 (sin.f64 x) (.f64 (sin.f64 y) -1/16))))) 1) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (*.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
	34.8b	(/.f64 (+.f64 2 (.f64 (.f64 (sqrt.f64 2) (.f64 -1/16 (pow.f64 (sin.f64 x) 2))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 1/2 (-.f64 (sqrt.f64 5) 1))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
	21.1b	(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (sin.f64 x)) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))

Compiler

Compiled 3866 to 3098 computations (19.9% saved)

localize224.0ms (1.1%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.1b	(*.f64 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4))))
	0.1b	(+.f64 (*.f64 -1/16 (sin.f64 y)) (sin.f64 x))
	0.0b	(+.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)
	0.0b	(cos.f64 x)
✓	0.3b	(.f64 (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x)) (+.f64 (*.f64 -1/16 (sin.f64 x)) (sin.f64 y)))
✓	0.4b	(+.f64 (.f64 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4)))) (.f64 3/2 (*.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))))
✓	0.7b	(.f64 3/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))
	2.6b	(-.f64 (cos.f64 x) (cos.f64 y))

Compiler

Compiled 268 to 166 computations (38.1% saved)

series14.0ms (0.1%)

Counts

3 → 20

Calls

15 calls:

Time	Variable		Point	Expression
6.0ms	y	@	inf	(+.f64 (.f64 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4)))) (.f64 3/2 (*.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))))
1.0ms	x	@	0	(+.f64 (.f64 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4)))) (.f64 3/2 (*.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))))
1.0ms	y	@	0	(+.f64 (.f64 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4)))) (.f64 3/2 (*.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))))
1.0ms	y	@	-inf	(+.f64 (.f64 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4)))) (.f64 3/2 (*.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))))
1.0ms	x	@	inf	(+.f64 (.f64 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4)))) (.f64 3/2 (*.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))))

rewrite167.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

310×	`add-sqr-sqrt_binary64`
296×	`*-un-lft-identity_binary64`
296×	`pow1_binary64`
292×	`add-cbrt-cube_binary64`
292×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	62
1	625	62

Stop Event

1×	node limit

Counts

3 → 99

Calls

Call 1

Inputs

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

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

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

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4))) (*.f64 (cos.f64 x) (*.f64 (+.f64 (sqrt.f64 5) -1) 3/2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (*.f64 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4)))) 2) (-.f64 (*.f64 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4)))) (*.f64 (cos.f64 x) (*.f64 (+.f64 (sqrt.f64 5) -1) 3/2)))) (/.f64 (pow.f64 (*.f64 (cos.f64 x) (*.f64 (+.f64 (sqrt.f64 5) -1) 3/2)) 2) (-.f64 (*.f64 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4)))) (*.f64 (cos.f64 x) (*.f64 (+.f64 (sqrt.f64 5) -1) 3/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4))) (*.f64 (cos.f64 x) (*.f64 (+.f64 (sqrt.f64 5) -1) 3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4))) (*.f64 (cos.f64 x) (*.f64 (+.f64 (sqrt.f64 5) -1) 3/2)))) (pow.f64 (cbrt.f64 (fma.f64 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4))) (*.f64 (cos.f64 x) (*.f64 (+.f64 (sqrt.f64 5) -1) 3/2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4))) (*.f64 (cos.f64 x) (*.f64 (+.f64 (sqrt.f64 5) -1) 3/2)))) 2) (cbrt.f64 (fma.f64 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4))) (*.f64 (cos.f64 x) (*.f64 (+.f64 (sqrt.f64 5) -1) 3/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4))) (*.f64 (cos.f64 x) (*.f64 (+.f64 (sqrt.f64 5) -1) 3/2)))) (sqrt.f64 (fma.f64 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4))) (*.f64 (cos.f64 x) (*.f64 (+.f64 (sqrt.f64 5) -1) 3/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 (pow.f64 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4))) 3) 729) (pow.f64 (*.f64 (cos.f64 x) (*.f64 (+.f64 (sqrt.f64 5) -1) 3/2)) 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4)))) 2) (*.f64 (*.f64 (cos.f64 x) (*.f64 (+.f64 (sqrt.f64 5) -1) 3/2)) (-.f64 (*.f64 (cos.f64 x) (*.f64 (+.f64 (sqrt.f64 5) -1) 3/2)) (*.f64 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (*.f64 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4)))) 2) (pow.f64 (*.f64 (cos.f64 x) (*.f64 (+.f64 (sqrt.f64 5) -1) 3/2)) 2)) (/.f64 1 (-.f64 (*.f64 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4)))) (*.f64 (cos.f64 x) (*.f64 (+.f64 (sqrt.f64 5) -1) 3/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4)))) 2) (*.f64 (*.f64 (cos.f64 x) (*.f64 (+.f64 (sqrt.f64 5) -1) 3/2)) (-.f64 (*.f64 (cos.f64 x) (*.f64 (+.f64 (sqrt.f64 5) -1) 3/2)) (*.f64 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4))))))) (+.f64 (*.f64 (pow.f64 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4))) 3) 729) (pow.f64 (*.f64 (cos.f64 x) (*.f64 (+.f64 (sqrt.f64 5) -1) 3/2)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (*.f64 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4)))) (*.f64 (cos.f64 x) (*.f64 (+.f64 (sqrt.f64 5) -1) 3/2))) (-.f64 (pow.f64 (*.f64 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4)))) 2) (pow.f64 (*.f64 (cos.f64 x) (*.f64 (+.f64 (sqrt.f64 5) -1) 3/2)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (pow.f64 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4))) 3) 729) (pow.f64 (*.f64 (cos.f64 x) (*.f64 (+.f64 (sqrt.f64 5) -1) 3/2)) 3)) (+.f64 (pow.f64 (*.f64 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4)))) 2) (*.f64 (*.f64 (cos.f64 x) (*.f64 (+.f64 (sqrt.f64 5) -1) 3/2)) (-.f64 (*.f64 (cos.f64 x) (*.f64 (+.f64 (sqrt.f64 5) -1) 3/2)) (*.f64 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4))))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4)))) 2) (pow.f64 (*.f64 (cos.f64 x) (*.f64 (+.f64 (sqrt.f64 5) -1) 3/2)) 2)) (-.f64 (*.f64 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4)))) (*.f64 (cos.f64 x) (*.f64 (+.f64 (sqrt.f64 5) -1) 3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (*.f64 (pow.f64 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4))) 3) 729) (pow.f64 (*.f64 (cos.f64 x) (*.f64 (+.f64 (sqrt.f64 5) -1) 3/2)) 3))) (neg.f64 (+.f64 (pow.f64 (*.f64 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4)))) 2) (*.f64 (*.f64 (cos.f64 x) (*.f64 (+.f64 (sqrt.f64 5) -1) 3/2)) (-.f64 (*.f64 (cos.f64 x) (*.f64 (+.f64 (sqrt.f64 5) -1) 3/2)) (*.f64 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4)))) 2) (pow.f64 (*.f64 (cos.f64 x) (*.f64 (+.f64 (sqrt.f64 5) -1) 3/2)) 2))) (neg.f64 (-.f64 (*.f64 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4)))) (*.f64 (cos.f64 x) (*.f64 (+.f64 (sqrt.f64 5) -1) 3/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 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(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 y) (sin.f64 x))) (fma.f64 -1/16 (sin.f64 x) (sin.f64 y))))))) (#(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 cbrt.f64 (*.f64 (pow.f64 (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)) 3) (pow.f64 (fma.f64 -1/16 (sin.f64 x) (sin.f64 y)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (fma.f64 -1/16 (sin.f64 x) (sin.f64 y)) 3) (pow.f64 (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)) 3)))))) (#(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))))) (#(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 (*.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))))))))

simplify88.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

702×	`distribute-rgt-in_binary64`
656×	`fma-def_binary64`
540×	`unswap-sqr_binary64`
472×	`distribute-rgt-out_binary64`
387×	`+-commutative_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	107	668
1	304	660
2	910	596
3	3563	570
4	5865	570

Stop Event

1×	node limit

Counts

119 → 137

Calls

Call 1

Inputs
(*.f64 3/2 (-.f64 (sqrt.f64 5) 1))
(+.f64 (.f64 3/2 (-.f64 (sqrt.f64 5) 1)) (.f64 -3/4 (*.f64 (-.f64 (sqrt.f64 5) 1) (pow.f64 x 2))))
(+.f64 (.f64 3/2 (-.f64 (sqrt.f64 5) 1)) (+.f64 (.f64 1/16 (.f64 (-.f64 (sqrt.f64 5) 1) (pow.f64 x 4))) (.f64 -3/4 (*.f64 (-.f64 (sqrt.f64 5) 1) (pow.f64 x 2)))))
(+.f64 (.f64 -1/480 (.f64 (-.f64 (sqrt.f64 5) 1) (pow.f64 x 6))) (+.f64 (.f64 3/2 (-.f64 (sqrt.f64 5) 1)) (+.f64 (.f64 1/16 (.f64 (-.f64 (sqrt.f64 5) 1) (pow.f64 x 4))) (.f64 -3/4 (*.f64 (-.f64 (sqrt.f64 5) 1) (pow.f64 x 2))))))
(+.f64 (.f64 3/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))) (*.f64 9 (/.f64 1 (+.f64 9/2 (sqrt.f64 45/4)))))
(+.f64 (.f64 -9/2 (/.f64 (pow.f64 y 2) (+.f64 9/2 (sqrt.f64 45/4)))) (+.f64 (.f64 9 (/.f64 1 (+.f64 9/2 (sqrt.f64 45/4)))) (.f64 3/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))))
(+.f64 (.f64 -9/2 (/.f64 (pow.f64 y 2) (+.f64 9/2 (sqrt.f64 45/4)))) (+.f64 (.f64 9 (/.f64 1 (+.f64 9/2 (sqrt.f64 45/4)))) (+.f64 (.f64 3/8 (/.f64 (pow.f64 y 4) (+.f64 9/2 (sqrt.f64 45/4)))) (.f64 3/2 (*.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))))))
(+.f64 (.f64 -9/2 (/.f64 (pow.f64 y 2) (+.f64 9/2 (sqrt.f64 45/4)))) (+.f64 (.f64 9 (/.f64 1 (+.f64 9/2 (sqrt.f64 45/4)))) (+.f64 (.f64 3/8 (/.f64 (pow.f64 y 4) (+.f64 9/2 (sqrt.f64 45/4)))) (+.f64 (.f64 -1/80 (/.f64 (pow.f64 y 6) (+.f64 9/2 (sqrt.f64 45/4)))) (.f64 3/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))))))
(+.f64 (.f64 3/2 (-.f64 (sqrt.f64 5) 1)) (.f64 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4)))))
(+.f64 (.f64 3/2 (-.f64 (sqrt.f64 5) 1)) (+.f64 (.f64 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4)))) (.f64 -3/4 (.f64 (-.f64 (sqrt.f64 5) 1) (pow.f64 x 2)))))
(+.f64 (.f64 3/2 (-.f64 (sqrt.f64 5) 1)) (+.f64 (.f64 1/16 (.f64 (-.f64 (sqrt.f64 5) 1) (pow.f64 x 4))) (+.f64 (.f64 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4)))) (.f64 -3/4 (.f64 (-.f64 (sqrt.f64 5) 1) (pow.f64 x 2))))))
(+.f64 (.f64 -1/480 (.f64 (-.f64 (sqrt.f64 5) 1) (pow.f64 x 6))) (+.f64 (.f64 3/2 (-.f64 (sqrt.f64 5) 1)) (+.f64 (.f64 1/16 (.f64 (-.f64 (sqrt.f64 5) 1) (pow.f64 x 4))) (+.f64 (.f64 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4)))) (.f64 -3/4 (.f64 (-.f64 (sqrt.f64 5) 1) (pow.f64 x 2)))))))
(*.f64 -1/16 (pow.f64 (sin.f64 x) 2))
(+.f64 (.f64 y (+.f64 (.f64 1/256 (sin.f64 x)) (sin.f64 x))) (*.f64 -1/16 (pow.f64 (sin.f64 x) 2)))
(+.f64 (.f64 y (+.f64 (.f64 1/256 (sin.f64 x)) (sin.f64 x))) (+.f64 (.f64 -1/16 (pow.f64 y 2)) (.f64 -1/16 (pow.f64 (sin.f64 x) 2))))
(+.f64 (.f64 y (+.f64 (.f64 1/256 (sin.f64 x)) (sin.f64 x))) (+.f64 (.f64 (pow.f64 y 3) (+.f64 (.f64 -1/1536 (sin.f64 x)) (.f64 -1/6 (sin.f64 x)))) (+.f64 (.f64 -1/16 (pow.f64 y 2)) (*.f64 -1/16 (pow.f64 (sin.f64 x) 2)))))
(*.f64 -1/16 (pow.f64 (sin.f64 y) 2))
(+.f64 (.f64 (+.f64 (.f64 1/256 (sin.f64 y)) (sin.f64 y)) x) (*.f64 -1/16 (pow.f64 (sin.f64 y) 2)))
(+.f64 (.f64 (+.f64 (.f64 1/256 (sin.f64 y)) (sin.f64 y)) x) (+.f64 (.f64 -1/16 (pow.f64 x 2)) (.f64 -1/16 (pow.f64 (sin.f64 y) 2))))
(+.f64 (.f64 (+.f64 (.f64 -1/1536 (sin.f64 y)) (.f64 -1/6 (sin.f64 y))) (pow.f64 x 3)) (+.f64 (.f64 (+.f64 (.f64 1/256 (sin.f64 y)) (sin.f64 y)) x) (+.f64 (.f64 -1/16 (pow.f64 x 2)) (*.f64 -1/16 (pow.f64 (sin.f64 y) 2)))))

Outputs
(*.f64 3/2 (-.f64 (sqrt.f64 5) 1))
(*.f64 3/2 (+.f64 (sqrt.f64 5) -1))
(+.f64 (*.f64 (sqrt.f64 5) 3/2) -3/2)
(fma.f64 3/2 (sqrt.f64 5) -3/2)
(+.f64 (.f64 3/2 (-.f64 (sqrt.f64 5) 1)) (.f64 -3/4 (*.f64 (-.f64 (sqrt.f64 5) 1) (pow.f64 x 2))))
(fma.f64 3/2 (+.f64 (sqrt.f64 5) -1) (.f64 -3/4 (.f64 (+.f64 (sqrt.f64 5) -1) (*.f64 x x))))
(fma.f64 3/2 (+.f64 (sqrt.f64 5) -1) (.f64 (+.f64 (sqrt.f64 5) -1) (.f64 (*.f64 x x) -3/4)))
(.f64 (+.f64 (sqrt.f64 5) -1) (+.f64 3/2 (.f64 -3/4 (*.f64 x x))))
(+.f64 (.f64 3/2 (-.f64 (sqrt.f64 5) 1)) (+.f64 (.f64 1/16 (.f64 (-.f64 (sqrt.f64 5) 1) (pow.f64 x 4))) (.f64 -3/4 (*.f64 (-.f64 (sqrt.f64 5) 1) (pow.f64 x 2)))))
(fma.f64 3/2 (+.f64 (sqrt.f64 5) -1) (fma.f64 1/16 (.f64 (+.f64 (sqrt.f64 5) -1) (pow.f64 x 4)) (.f64 -3/4 (.f64 (+.f64 (sqrt.f64 5) -1) (.f64 x x)))))
(fma.f64 3/2 (+.f64 (sqrt.f64 5) -1) (fma.f64 (+.f64 (.f64 (sqrt.f64 5) 1/16) -1/16) (pow.f64 x 4) (.f64 (+.f64 (sqrt.f64 5) -1) (.f64 (.f64 x x) -3/4))))
(fma.f64 (pow.f64 x 4) (fma.f64 (sqrt.f64 5) 1/16 -1/16) (.f64 (+.f64 (sqrt.f64 5) -1) (+.f64 3/2 (.f64 -3/4 (*.f64 x x)))))
(.f64 (+.f64 (sqrt.f64 5) -1) (+.f64 3/2 (.f64 x (+.f64 (.f64 -3/4 x) (.f64 1/16 (pow.f64 x 3))))))
(.f64 (+.f64 (sqrt.f64 5) -1) (+.f64 (+.f64 3/2 (.f64 -3/4 (.f64 x x))) (.f64 1/16 (pow.f64 x 4))))
(+.f64 (.f64 -1/480 (.f64 (-.f64 (sqrt.f64 5) 1) (pow.f64 x 6))) (+.f64 (.f64 3/2 (-.f64 (sqrt.f64 5) 1)) (+.f64 (.f64 1/16 (.f64 (-.f64 (sqrt.f64 5) 1) (pow.f64 x 4))) (.f64 -3/4 (*.f64 (-.f64 (sqrt.f64 5) 1) (pow.f64 x 2))))))
(fma.f64 -1/480 (.f64 (+.f64 (sqrt.f64 5) -1) (pow.f64 x 6)) (fma.f64 3/2 (+.f64 (sqrt.f64 5) -1) (fma.f64 1/16 (.f64 (+.f64 (sqrt.f64 5) -1) (pow.f64 x 4)) (.f64 -3/4 (.f64 (+.f64 (sqrt.f64 5) -1) (*.f64 x x))))))
(fma.f64 -1/480 (.f64 (+.f64 (sqrt.f64 5) -1) (pow.f64 x 6)) (fma.f64 3/2 (+.f64 (sqrt.f64 5) -1) (fma.f64 (+.f64 (.f64 (sqrt.f64 5) 1/16) -1/16) (pow.f64 x 4) (.f64 (+.f64 (sqrt.f64 5) -1) (.f64 (*.f64 x x) -3/4)))))
(+.f64 (.f64 (+.f64 (sqrt.f64 5) -1) (+.f64 (.f64 -3/4 (.f64 x x)) (.f64 1/16 (pow.f64 x 4)))) (.f64 (+.f64 (sqrt.f64 5) -1) (+.f64 3/2 (.f64 -1/480 (pow.f64 x 6)))))
(.f64 (+.f64 (sqrt.f64 5) -1) (+.f64 (.f64 x (+.f64 (.f64 -3/4 x) (.f64 1/16 (pow.f64 x 3)))) (+.f64 3/2 (*.f64 -1/480 (pow.f64 x 6)))))
(.f64 (+.f64 (sqrt.f64 5) -1) (+.f64 (+.f64 (.f64 -1/480 (pow.f64 x 6)) (.f64 -3/4 (.f64 x x))) (+.f64 3/2 (*.f64 1/16 (pow.f64 x 4)))))
(+.f64 (.f64 3/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))) (*.f64 9 (/.f64 1 (+.f64 9/2 (sqrt.f64 45/4)))))
(fma.f64 3/2 (*.f64 (+.f64 (sqrt.f64 5) -1) (cos.f64 x)) (/.f64 9 (+.f64 9/2 (sqrt.f64 45/4))))
(fma.f64 (fma.f64 3/2 (sqrt.f64 5) -3/2) (cos.f64 x) (/.f64 9 (+.f64 9/2 (sqrt.f64 45/4))))
(+.f64 (.f64 -9/2 (/.f64 (pow.f64 y 2) (+.f64 9/2 (sqrt.f64 45/4)))) (+.f64 (.f64 9 (/.f64 1 (+.f64 9/2 (sqrt.f64 45/4)))) (.f64 3/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))))
(fma.f64 -9/2 (/.f64 (.f64 y y) (+.f64 9/2 (sqrt.f64 45/4))) (fma.f64 3/2 (.f64 (+.f64 (sqrt.f64 5) -1) (cos.f64 x)) (/.f64 9 (+.f64 9/2 (sqrt.f64 45/4)))))
(fma.f64 (fma.f64 3/2 (sqrt.f64 5) -3/2) (cos.f64 x) (fma.f64 -9/2 (*.f64 (/.f64 y (+.f64 9/2 (sqrt.f64 45/4))) y) (/.f64 9 (+.f64 9/2 (sqrt.f64 45/4)))))
(+.f64 (.f64 -9/2 (/.f64 (pow.f64 y 2) (+.f64 9/2 (sqrt.f64 45/4)))) (+.f64 (.f64 9 (/.f64 1 (+.f64 9/2 (sqrt.f64 45/4)))) (+.f64 (.f64 3/8 (/.f64 (pow.f64 y 4) (+.f64 9/2 (sqrt.f64 45/4)))) (.f64 3/2 (*.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))))))
(fma.f64 -9/2 (/.f64 (.f64 y y) (+.f64 9/2 (sqrt.f64 45/4))) (+.f64 (/.f64 9 (+.f64 9/2 (sqrt.f64 45/4))) (fma.f64 3/8 (/.f64 (pow.f64 y 4) (+.f64 9/2 (sqrt.f64 45/4))) (.f64 3/2 (*.f64 (+.f64 (sqrt.f64 5) -1) (cos.f64 x))))))
(+.f64 (fma.f64 3/2 (.f64 (+.f64 (sqrt.f64 5) -1) (cos.f64 x)) (/.f64 (.f64 3/8 (pow.f64 y 4)) (+.f64 9/2 (sqrt.f64 45/4)))) (fma.f64 -9/2 (/.f64 (*.f64 y y) (+.f64 9/2 (sqrt.f64 45/4))) (/.f64 9 (+.f64 9/2 (sqrt.f64 45/4)))))
(fma.f64 -9/2 (*.f64 (/.f64 y (+.f64 9/2 (sqrt.f64 45/4))) y) (fma.f64 (fma.f64 3/2 (sqrt.f64 5) -3/2) (cos.f64 x) (fma.f64 3/8 (/.f64 (pow.f64 y 4) (+.f64 9/2 (sqrt.f64 45/4))) (/.f64 9 (+.f64 9/2 (sqrt.f64 45/4))))))
(+.f64 (.f64 -9/2 (/.f64 (pow.f64 y 2) (+.f64 9/2 (sqrt.f64 45/4)))) (+.f64 (.f64 9 (/.f64 1 (+.f64 9/2 (sqrt.f64 45/4)))) (+.f64 (.f64 3/8 (/.f64 (pow.f64 y 4) (+.f64 9/2 (sqrt.f64 45/4)))) (+.f64 (.f64 -1/80 (/.f64 (pow.f64 y 6) (+.f64 9/2 (sqrt.f64 45/4)))) (.f64 3/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))))))
(fma.f64 -9/2 (/.f64 (.f64 y y) (+.f64 9/2 (sqrt.f64 45/4))) (+.f64 (/.f64 9 (+.f64 9/2 (sqrt.f64 45/4))) (fma.f64 3/8 (/.f64 (pow.f64 y 4) (+.f64 9/2 (sqrt.f64 45/4))) (fma.f64 -1/80 (/.f64 (pow.f64 y 6) (+.f64 9/2 (sqrt.f64 45/4))) (.f64 3/2 (*.f64 (+.f64 (sqrt.f64 5) -1) (cos.f64 x)))))))
(+.f64 (fma.f64 3/8 (/.f64 (pow.f64 y 4) (+.f64 9/2 (sqrt.f64 45/4))) (fma.f64 3/2 (.f64 (+.f64 (sqrt.f64 5) -1) (cos.f64 x)) (/.f64 (.f64 -1/80 (pow.f64 y 6)) (+.f64 9/2 (sqrt.f64 45/4))))) (fma.f64 -9/2 (/.f64 (*.f64 y y) (+.f64 9/2 (sqrt.f64 45/4))) (/.f64 9 (+.f64 9/2 (sqrt.f64 45/4)))))
(+.f64 (fma.f64 (fma.f64 3/2 (sqrt.f64 5) -3/2) (cos.f64 x) (.f64 -1/80 (/.f64 (pow.f64 y 6) (+.f64 9/2 (sqrt.f64 45/4))))) (fma.f64 -9/2 (.f64 (/.f64 y (+.f64 9/2 (sqrt.f64 45/4))) y) (fma.f64 3/8 (/.f64 (pow.f64 y 4) (+.f64 9/2 (sqrt.f64 45/4))) (/.f64 9 (+.f64 9/2 (sqrt.f64 45/4))))))
(+.f64 (/.f64 9 (+.f64 9/2 (sqrt.f64 45/4))) (fma.f64 -9/2 (.f64 (/.f64 y (+.f64 9/2 (sqrt.f64 45/4))) y) (fma.f64 (fma.f64 3/2 (sqrt.f64 5) -3/2) (cos.f64 x) (fma.f64 -1/80 (/.f64 (pow.f64 y 6) (+.f64 9/2 (sqrt.f64 45/4))) (/.f64 (.f64 3/8 (pow.f64 y 4)) (+.f64 9/2 (sqrt.f64 45/4)))))))
(+.f64 (.f64 3/2 (-.f64 (sqrt.f64 5) 1)) (.f64 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4)))))
(fma.f64 3/2 (+.f64 (sqrt.f64 5) -1) (/.f64 (*.f64 9 (cos.f64 y)) (+.f64 9/2 (sqrt.f64 45/4))))
(fma.f64 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4))) (fma.f64 3/2 (sqrt.f64 5) -3/2))
(+.f64 (.f64 3/2 (-.f64 (sqrt.f64 5) 1)) (+.f64 (.f64 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4)))) (.f64 -3/4 (.f64 (-.f64 (sqrt.f64 5) 1) (pow.f64 x 2)))))
(fma.f64 3/2 (+.f64 (sqrt.f64 5) -1) (fma.f64 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4))) (.f64 -3/4 (.f64 (+.f64 (sqrt.f64 5) -1) (*.f64 x x)))))
(fma.f64 3/2 (+.f64 (sqrt.f64 5) -1) (fma.f64 -3/4 (.f64 (+.f64 (sqrt.f64 5) -1) (.f64 x x)) (/.f64 (*.f64 9 (cos.f64 y)) (+.f64 9/2 (sqrt.f64 45/4)))))
(fma.f64 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4))) (.f64 (+.f64 (sqrt.f64 5) -1) (+.f64 3/2 (.f64 -3/4 (*.f64 x x)))))
(+.f64 (.f64 3/2 (-.f64 (sqrt.f64 5) 1)) (+.f64 (.f64 1/16 (.f64 (-.f64 (sqrt.f64 5) 1) (pow.f64 x 4))) (+.f64 (.f64 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4)))) (.f64 -3/4 (.f64 (-.f64 (sqrt.f64 5) 1) (pow.f64 x 2))))))
(fma.f64 3/2 (+.f64 (sqrt.f64 5) -1) (fma.f64 1/16 (.f64 (+.f64 (sqrt.f64 5) -1) (pow.f64 x 4)) (fma.f64 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4))) (.f64 -3/4 (.f64 (+.f64 (sqrt.f64 5) -1) (.f64 x x))))))
(fma.f64 3/2 (+.f64 (sqrt.f64 5) -1) (fma.f64 1/16 (.f64 (+.f64 (sqrt.f64 5) -1) (pow.f64 x 4)) (fma.f64 -3/4 (.f64 (+.f64 (sqrt.f64 5) -1) (.f64 x x)) (/.f64 (.f64 9 (cos.f64 y)) (+.f64 9/2 (sqrt.f64 45/4))))))
(fma.f64 (pow.f64 x 4) (fma.f64 (sqrt.f64 5) 1/16 -1/16) (fma.f64 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4))) (.f64 (+.f64 (sqrt.f64 5) -1) (+.f64 3/2 (.f64 -3/4 (*.f64 x x))))))
(+.f64 (.f64 (+.f64 (sqrt.f64 5) -1) (+.f64 3/2 (.f64 x (+.f64 (.f64 -3/4 x) (.f64 1/16 (pow.f64 x 3)))))) (*.f64 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4)))))
(+.f64 (.f64 (+.f64 (sqrt.f64 5) -1) (+.f64 (+.f64 3/2 (.f64 -3/4 (.f64 x x))) (.f64 1/16 (pow.f64 x 4)))) (*.f64 (/.f64 9 (+.f64 9/2 (sqrt.f64 45/4))) (cos.f64 y)))
(+.f64 (.f64 -1/480 (.f64 (-.f64 (sqrt.f64 5) 1) (pow.f64 x 6))) (+.f64 (.f64 3/2 (-.f64 (sqrt.f64 5) 1)) (+.f64 (.f64 1/16 (.f64 (-.f64 (sqrt.f64 5) 1) (pow.f64 x 4))) (+.f64 (.f64 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4)))) (.f64 -3/4 (.f64 (-.f64 (sqrt.f64 5) 1) (pow.f64 x 2)))))))
(fma.f64 -1/480 (.f64 (+.f64 (sqrt.f64 5) -1) (pow.f64 x 6)) (fma.f64 3/2 (+.f64 (sqrt.f64 5) -1) (fma.f64 1/16 (.f64 (+.f64 (sqrt.f64 5) -1) (pow.f64 x 4)) (fma.f64 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4))) (.f64 -3/4 (.f64 (+.f64 (sqrt.f64 5) -1) (*.f64 x x)))))))
(fma.f64 -1/480 (.f64 (+.f64 (sqrt.f64 5) -1) (pow.f64 x 6)) (fma.f64 3/2 (+.f64 (sqrt.f64 5) -1) (fma.f64 1/16 (.f64 (+.f64 (sqrt.f64 5) -1) (pow.f64 x 4)) (fma.f64 -3/4 (.f64 (+.f64 (sqrt.f64 5) -1) (.f64 x x)) (/.f64 (*.f64 9 (cos.f64 y)) (+.f64 9/2 (sqrt.f64 45/4)))))))
(+.f64 (fma.f64 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4))) (.f64 (+.f64 (sqrt.f64 5) -1) (+.f64 (.f64 -3/4 (.f64 x x)) (.f64 1/16 (pow.f64 x 4))))) (.f64 (+.f64 (sqrt.f64 5) -1) (+.f64 3/2 (.f64 -1/480 (pow.f64 x 6)))))
(+.f64 (.f64 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4)))) (.f64 (+.f64 (sqrt.f64 5) -1) (+.f64 (.f64 x (+.f64 (.f64 -3/4 x) (.f64 1/16 (pow.f64 x 3)))) (+.f64 3/2 (.f64 -1/480 (pow.f64 x 6))))))
(+.f64 (.f64 (/.f64 9 (+.f64 9/2 (sqrt.f64 45/4))) (cos.f64 y)) (.f64 (+.f64 (sqrt.f64 5) -1) (+.f64 (+.f64 (.f64 -1/480 (pow.f64 x 6)) (.f64 -3/4 (.f64 x x))) (+.f64 3/2 (.f64 1/16 (pow.f64 x 4))))))
(*.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 y (.f64 (sin.f64 x) 257/256) (.f64 -1/16 (pow.f64 (sin.f64 x) 2)))
(.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 y (.f64 (sin.f64 x) 257/256) (.f64 -1/16 (fma.f64 y y (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)))))
(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 y (.f64 (sin.f64 x) 257/256) (fma.f64 (pow.f64 y 3) (.f64 (sin.f64 x) -257/1536) (*.f64 -1/16 (fma.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) (+.f64 257/256 (.f64 (.f64 y y) -257/1536)))))
(fma.f64 -1/16 (fma.f64 y y (pow.f64 (sin.f64 x) 2)) (.f64 y (.f64 (sin.f64 x) (+.f64 (.f64 (.f64 y y) -257/1536) 257/256))))
(*.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 x (.f64 (sin.f64 y) 257/256) (.f64 -1/16 (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 -1/16 (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 x (.f64 (sin.f64 y) 257/256) (.f64 -1/16 (fma.f64 x x (pow.f64 (sin.f64 y) 2))))
(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 x (.f64 (sin.f64 y) 257/256) (*.f64 -1/16 (fma.f64 x x (pow.f64 (sin.f64 y) 2)))))
(fma.f64 -1/16 (fma.f64 x x (pow.f64 (sin.f64 y) 2)) (fma.f64 x (.f64 (sin.f64 y) 257/256) (.f64 (sin.f64 y) (*.f64 (pow.f64 x 3) -257/1536))))
(fma.f64 -1/16 (fma.f64 x x (pow.f64 (sin.f64 y) 2)) (.f64 x (.f64 (sin.f64 y) (+.f64 (.f64 (.f64 x x) -257/1536) 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))))

localize70.0ms (0.3%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.1b	(*.f64 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4))))
	0.1b	(+.f64 (.f64 3/2 (-.f64 (sqrt.f64 5) 1)) (+.f64 3 (.f64 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4))))))
	0.0b	(+.f64 3 (*.f64 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4)))))
	0.0b	(+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (*.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2)))))
✓	0.2b	(pow.f64 (sin.f64 y) 2)
✓	0.2b	(.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2)))
✓	1.0b	(*.f64 3/2 (-.f64 (sqrt.f64 5) 1))
✓	1.8b	(-.f64 1 (cos.f64 y))

Compiler

Compiled 175 to 138 computations (21.1% saved)

series4.0ms (0%)

Counts

4 → 12

Calls

9 calls:

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

rewrite64.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

681×	`log-prod_binary64`
384×	`pow2_binary64`
267×	`pow1/3_binary64`
265×	`expm1-udef_binary64`
264×	`log1p-udef_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	16	40
1	339	40
2	3916	38

Stop Event

1×	node limit

Counts

4 → 117

Calls

Call 1

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

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

simplify149.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

988×	`distribute-lft-out_binary64`
802×	`sqr-pow_binary64`
558×	`*-commutative_binary64`
446×	`pow-sqr_binary64`
427×	`associate-+l+_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	53	250
1	135	248
2	356	238
3	1200	230
4	2080	230
5	3759	230
6	4482	230
7	4798	230
8	5056	230
9	5427	230
10	5839	230
11	6298	230
12	6774	230
13	7320	230

Stop Event

1×	node limit

Counts

129 → 141

Calls

Call 1

Inputs
(*.f64 1/2 (pow.f64 y 2))
(+.f64 (.f64 1/2 (pow.f64 y 2)) (.f64 -1/24 (pow.f64 y 4)))
(+.f64 (.f64 1/720 (pow.f64 y 6)) (+.f64 (.f64 1/2 (pow.f64 y 2)) (*.f64 -1/24 (pow.f64 y 4))))
(+.f64 (.f64 -1/40320 (pow.f64 y 8)) (+.f64 (.f64 1/720 (pow.f64 y 6)) (+.f64 (.f64 1/2 (pow.f64 y 2)) (.f64 -1/24 (pow.f64 y 4)))))
(.f64 1/2 (.f64 (sqrt.f64 2) (pow.f64 y 4)))
(+.f64 (.f64 -5/24 (.f64 (sqrt.f64 2) (pow.f64 y 6))) (.f64 1/2 (.f64 (sqrt.f64 2) (pow.f64 y 4))))
(+.f64 (.f64 -5/24 (.f64 (sqrt.f64 2) (pow.f64 y 6))) (+.f64 (.f64 3/80 (.f64 (sqrt.f64 2) (pow.f64 y 8))) (.f64 1/2 (.f64 (sqrt.f64 2) (pow.f64 y 4)))))
(+.f64 (.f64 -5/24 (.f64 (sqrt.f64 2) (pow.f64 y 6))) (+.f64 (.f64 3/80 (.f64 (sqrt.f64 2) (pow.f64 y 8))) (+.f64 (.f64 -95/24192 (.f64 (sqrt.f64 2) (pow.f64 y 10))) (.f64 1/2 (.f64 (sqrt.f64 2) (pow.f64 y 4))))))
(pow.f64 y 2)
(+.f64 (*.f64 -1/3 (pow.f64 y 4)) (pow.f64 y 2))
(+.f64 (.f64 -1/3 (pow.f64 y 4)) (+.f64 (.f64 2/45 (pow.f64 y 6)) (pow.f64 y 2)))
(+.f64 (.f64 -1/3 (pow.f64 y 4)) (+.f64 (.f64 2/45 (pow.f64 y 6)) (+.f64 (pow.f64 y 2) (*.f64 -1/315 (pow.f64 y 8)))))

Outputs
(*.f64 1/2 (pow.f64 y 2))
(.f64 1/2 (.f64 y y))
(+.f64 (.f64 1/2 (pow.f64 y 2)) (.f64 -1/24 (pow.f64 y 4)))
(fma.f64 1/2 (.f64 y y) (.f64 -1/24 (pow.f64 y 4)))
(fma.f64 -1/24 (pow.f64 y 4) (.f64 1/2 (.f64 y y)))
(+.f64 (.f64 1/720 (pow.f64 y 6)) (+.f64 (.f64 1/2 (pow.f64 y 2)) (*.f64 -1/24 (pow.f64 y 4))))
(fma.f64 1/720 (pow.f64 y 6) (fma.f64 1/2 (.f64 y y) (.f64 -1/24 (pow.f64 y 4))))
(fma.f64 1/2 (.f64 y y) (fma.f64 -1/24 (pow.f64 y 4) (.f64 1/720 (pow.f64 y 6))))
(fma.f64 -1/24 (pow.f64 y 4) (fma.f64 1/720 (pow.f64 y 6) (.f64 1/2 (.f64 y y))))
(+.f64 (.f64 -1/40320 (pow.f64 y 8)) (+.f64 (.f64 1/720 (pow.f64 y 6)) (+.f64 (.f64 1/2 (pow.f64 y 2)) (.f64 -1/24 (pow.f64 y 4)))))
(fma.f64 -1/40320 (pow.f64 y 8) (fma.f64 1/720 (pow.f64 y 6) (fma.f64 1/2 (.f64 y y) (.f64 -1/24 (pow.f64 y 4)))))
(fma.f64 1/720 (pow.f64 y 6) (fma.f64 -1/40320 (pow.f64 y 8) (fma.f64 1/2 (.f64 y y) (.f64 -1/24 (pow.f64 y 4)))))
(fma.f64 1/720 (pow.f64 y 6) (fma.f64 -1/40320 (pow.f64 y 8) (fma.f64 -1/24 (pow.f64 y 4) (.f64 1/2 (.f64 y y)))))
(fma.f64 -1/40320 (pow.f64 y 8) (fma.f64 1/2 (.f64 y y) (fma.f64 -1/24 (pow.f64 y 4) (.f64 1/720 (pow.f64 y 6)))))
(.f64 1/2 (.f64 (sqrt.f64 2) (pow.f64 y 4)))
(.f64 1/2 (.f64 (pow.f64 y 4) (sqrt.f64 2)))
(.f64 (sqrt.f64 2) (.f64 (pow.f64 y 4) 1/2))
(.f64 (sqrt.f64 2) (.f64 1/2 (pow.f64 y 4)))
(+.f64 (.f64 -5/24 (.f64 (sqrt.f64 2) (pow.f64 y 6))) (.f64 1/2 (.f64 (sqrt.f64 2) (pow.f64 y 4))))
(fma.f64 -5/24 (.f64 (pow.f64 y 6) (sqrt.f64 2)) (.f64 1/2 (*.f64 (pow.f64 y 4) (sqrt.f64 2))))
(fma.f64 1/2 (.f64 (pow.f64 y 4) (sqrt.f64 2)) (.f64 (pow.f64 y 6) (*.f64 (sqrt.f64 2) -5/24)))
(.f64 (sqrt.f64 2) (+.f64 (.f64 1/2 (pow.f64 y 4)) (*.f64 (pow.f64 y 6) -5/24)))
(+.f64 (.f64 -5/24 (.f64 (sqrt.f64 2) (pow.f64 y 6))) (+.f64 (.f64 3/80 (.f64 (sqrt.f64 2) (pow.f64 y 8))) (.f64 1/2 (.f64 (sqrt.f64 2) (pow.f64 y 4)))))
(fma.f64 -5/24 (.f64 (pow.f64 y 6) (sqrt.f64 2)) (fma.f64 3/80 (.f64 (pow.f64 y 8) (sqrt.f64 2)) (.f64 1/2 (.f64 (pow.f64 y 4) (sqrt.f64 2)))))
(fma.f64 -5/24 (.f64 (pow.f64 y 6) (sqrt.f64 2)) (fma.f64 3/80 (.f64 (pow.f64 y 8) (sqrt.f64 2)) (.f64 (sqrt.f64 2) (.f64 (pow.f64 y 4) 1/2))))
(fma.f64 1/2 (.f64 (pow.f64 y 4) (sqrt.f64 2)) (.f64 (sqrt.f64 2) (+.f64 (.f64 (pow.f64 y 6) -5/24) (.f64 (pow.f64 y 8) 3/80))))
(.f64 (sqrt.f64 2) (+.f64 (.f64 (pow.f64 y 6) -5/24) (.f64 (pow.f64 y 4) (+.f64 1/2 (.f64 (pow.f64 y 4) 3/80)))))
(.f64 (sqrt.f64 2) (+.f64 (.f64 1/2 (pow.f64 y 4)) (+.f64 (.f64 (pow.f64 y 6) -5/24) (.f64 (pow.f64 y 8) 3/80))))
(+.f64 (.f64 -5/24 (.f64 (sqrt.f64 2) (pow.f64 y 6))) (+.f64 (.f64 3/80 (.f64 (sqrt.f64 2) (pow.f64 y 8))) (+.f64 (.f64 -95/24192 (.f64 (sqrt.f64 2) (pow.f64 y 10))) (.f64 1/2 (.f64 (sqrt.f64 2) (pow.f64 y 4))))))
(fma.f64 -5/24 (.f64 (pow.f64 y 6) (sqrt.f64 2)) (fma.f64 3/80 (.f64 (pow.f64 y 8) (sqrt.f64 2)) (fma.f64 -95/24192 (.f64 (sqrt.f64 2) (pow.f64 y 10)) (.f64 1/2 (*.f64 (pow.f64 y 4) (sqrt.f64 2))))))
(fma.f64 -5/24 (.f64 (pow.f64 y 6) (sqrt.f64 2)) (fma.f64 3/80 (.f64 (pow.f64 y 8) (sqrt.f64 2)) (fma.f64 -95/24192 (.f64 (sqrt.f64 2) (pow.f64 y 10)) (.f64 (sqrt.f64 2) (*.f64 (pow.f64 y 4) 1/2)))))
(+.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 -95/24192 (pow.f64 y 10)) (.f64 1/2 (pow.f64 y 4)))) (.f64 (sqrt.f64 2) (+.f64 (.f64 (pow.f64 y 6) -5/24) (.f64 (pow.f64 y 8) 3/80))))
(.f64 (sqrt.f64 2) (+.f64 (+.f64 (.f64 1/2 (pow.f64 y 4)) (.f64 -95/24192 (pow.f64 y 10))) (+.f64 (.f64 (pow.f64 y 6) -5/24) (*.f64 (pow.f64 y 8) 3/80))))
(.f64 (sqrt.f64 2) (+.f64 (+.f64 (.f64 1/2 (pow.f64 y 4)) (.f64 (pow.f64 y 8) 3/80)) (+.f64 (.f64 (pow.f64 y 6) -5/24) (*.f64 -95/24192 (pow.f64 y 10)))))
(.f64 (sqrt.f64 2) (+.f64 (.f64 1/2 (pow.f64 y 4)) (+.f64 (.f64 (pow.f64 y 8) 3/80) (+.f64 (.f64 (pow.f64 y 6) -5/24) (*.f64 -95/24192 (pow.f64 y 10))))))
(pow.f64 y 2)
(*.f64 y y)
(+.f64 (*.f64 -1/3 (pow.f64 y 4)) (pow.f64 y 2))
(fma.f64 -1/3 (pow.f64 y 4) (*.f64 y y))
(fma.f64 (pow.f64 y 4) -1/3 (*.f64 y y))
(+.f64 (.f64 -1/3 (pow.f64 y 4)) (+.f64 (.f64 2/45 (pow.f64 y 6)) (pow.f64 y 2)))
(fma.f64 -1/3 (pow.f64 y 4) (fma.f64 2/45 (pow.f64 y 6) (*.f64 y y)))
(fma.f64 (pow.f64 y 4) -1/3 (fma.f64 (pow.f64 y 6) 2/45 (*.f64 y y)))
(fma.f64 y y (fma.f64 (pow.f64 y 4) -1/3 (*.f64 (pow.f64 y 6) 2/45)))
(+.f64 (.f64 -1/3 (pow.f64 y 4)) (+.f64 (.f64 2/45 (pow.f64 y 6)) (+.f64 (pow.f64 y 2) (*.f64 -1/315 (pow.f64 y 8)))))
(fma.f64 -1/3 (pow.f64 y 4) (fma.f64 2/45 (pow.f64 y 6) (+.f64 (.f64 y y) (.f64 (pow.f64 y 8) -1/315))))
(fma.f64 (pow.f64 y 4) -1/3 (fma.f64 (pow.f64 y 6) 2/45 (fma.f64 y y (*.f64 (pow.f64 y 8) -1/315))))
(fma.f64 (pow.f64 y 4) -1/3 (fma.f64 (pow.f64 y 8) -1/315 (fma.f64 (pow.f64 y 6) 2/45 (*.f64 y y))))

localize94.0ms (0.4%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.1b	(.f64 3 (+.f64 (+.f64 1 (/.f64 (cos.f64 x) (.f64 1/2 (+.f64 (sqrt.f64 5) 1)))) (*.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y))))
	0.1b	(+.f64 1 (/.f64 (cos.f64 x) (*.f64 1/2 (+.f64 (sqrt.f64 5) 1))))
	0.1b	(*.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y))
	0.0b	(cos.f64 x)
	0.3b	(.f64 (sqrt.f64 2) (.f64 -1/16 (pow.f64 (sin.f64 x) 2)))
✓	0.6b	(/.f64 (cos.f64 x) (*.f64 1/2 (+.f64 (sqrt.f64 5) 1)))
	1.0b	(-.f64 3 (sqrt.f64 5))
	2.6b	(-.f64 (cos.f64 x) (cos.f64 y))

Compiler

Compiled 210 to 156 computations (25.7% saved)

series2.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite43.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

455×	`log-prod_binary64`
366×	`exp-prod_binary64`
266×	`prod-exp_binary64`
255×	`pow2_binary64`
230×	`pow-prod-down_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	14
1	217	12
2	2699	12

Stop Event

1×	node limit

Counts

1 → 54

Calls

Call 1

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

Outputs

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

simplify43.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

977×	`fma-neg_binary64`
725×	`distribute-rgt-neg-in_binary64`
688×	`distribute-lft-neg-in_binary64`
535×	`associate-/l*_binary64`
508×	`distribute-neg-frac_binary64`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	33	238
1	78	235
2	163	235
3	370	235
4	1280	229
5	5309	225

Stop Event

1×	node limit

Counts

66 → 62

Calls

Call 1

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

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

localize312.0ms (1.5%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.1b	(-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))
	0.1b	(+.f64 2 (.f64 (.f64 (*.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 1 (cos.f64 y))))
	0.1b	(-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16))
	0.0b	(cos.f64 x)
	0.3b	(.f64 (.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16)))
	0.4b	(*.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)))
	1.0b	(-.f64 3 (sqrt.f64 5))
	1.8b	(-.f64 1 (cos.f64 y))

Compiler

Compiled 265 to 185 computations (30.2% saved)

rewrite0.0ms (0%)

Counts: 0 → 0

simplify8.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

0 → 0

Calls

Call 1

Inputs

Outputs

localize96.0ms (0.5%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.1b	(+.f64 (sin.f64 x) (*.f64 -1/16 (sin.f64 y)))
	0.1b	(fma.f64 (cos.f64 y) (+.f64 9/2 (neg.f64 (sqrt.f64 45/4))) 3)
	0.0b	(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)
	0.0b	(cos.f64 x)
	0.3b	(.f64 (+.f64 (sin.f64 y) (.f64 -1/16 (sin.f64 x))) (-.f64 (cos.f64 x) (cos.f64 y)))
✓	1.0b	(+.f64 9/2 (neg.f64 (sqrt.f64 45/4)))
	1.0b	(/.f64 (+.f64 (sqrt.f64 5) -1) 2/3)
	2.6b	(-.f64 (cos.f64 x) (cos.f64 y))

Compiler

Compiled 201 to 121 computations (39.8% saved)

series0.0ms (0%)

Counts: 1 → 0

rewrite55.0ms (0.3%)

Algorithm

1×	egg-rewrite-iter-limit
1×	batch-egg-rewrite

Rules

67×	`add-sqr-sqrt_binary64`
64×	`add-exp-log_binary64`
64×	`add-log-exp_binary64`
64×	`log1p-expm1-u_binary64`
64×	`expm1-log1p-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	6
1	137	6
2	1718	6
0	6	6

Stop Event

1×	iter limit
1×	unsound

Counts

1 → 12

Calls

Call 1

Inputs
(+.f64 9/2 (neg.f64 (sqrt.f64 45/4)))

Outputs

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

simplify7.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

12 → 12

Calls

Call 1

Inputs

Outputs

eval743.0ms (3.5%)

Compiler: Compiled 41967 to 29724 computations (29.2% saved)

prune223.0ms (1.1%)

Pruning

62 alts after pruning (58 fresh and 4 done)

	Pruned	Kept	Total
New	787	36	823
Fresh	12	22	34
Picked	1	0	1
Done	3	4	7
Total	803	62	865

Error

0.0b

Counts

865 → 62

Alt Table

Click to see full alt table

Status	Error	Program
	22.3b	(/.f64 (+.f64 2 (.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))) (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x))))) (+.f64 (cos.f64 x) -1))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
	33.2b	(/.f64 (+.f64 2 (.f64 (sqrt.f64 (.f64 2 (.f64 (pow.f64 (sin.f64 x) 4) 1/256))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (/.f64 (cos.f64 x) (.f64 1/2 (+.f64 (sqrt.f64 5) 1)))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
▶	32.9b	(/.f64 (+.f64 2 (.f64 (.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) (sin.f64 y))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (+.f64 (cos.f64 x) -1))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (*.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
	0.3b	(/.f64 (+.f64 (.f64 (sqrt.f64 2) (.f64 (log.f64 (exp.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 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4)))) (.f64 3/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))))))
	23.1b	(/.f64 (fma.f64 (sqrt.f64 2) (.f64 (+.f64 (sin.f64 x) (.f64 -1/16 (sin.f64 y))) (*.f64 (sin.f64 y) (-.f64 1 (cos.f64 y)))) 2) (fma.f64 (cos.f64 x) (/.f64 (+.f64 (sqrt.f64 5) -1) 2/3) (fma.f64 (cos.f64 y) (/.f64 9 (+.f64 9/2 (sqrt.f64 45/4))) 3)))
	22.5b	(/.f64 (+.f64 2 (.f64 (.f64 (sqrt.f64 2) (.f64 -1/16 (pow.f64 (sin.f64 x) 2))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (pow.f64 (cbrt.f64 (.f64 (fma.f64 (sqrt.f64 5) 1/2 -1/2) (cos.f64 x))) 3)) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
	0.5b	(expm1.f64 (log1p.f64 (/.f64 (fma.f64 (sqrt.f64 2) (.f64 (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)) (.f64 (fma.f64 (sin.f64 x) -1/16 (sin.f64 y)) (-.f64 (cos.f64 x) (cos.f64 y)))) 2) (fma.f64 (cos.f64 x) (*.f64 (+.f64 (sqrt.f64 5) -1) 3/2) (fma.f64 (cos.f64 y) (/.f64 9 (+.f64 9/2 (sqrt.f64 45/4))) 3)))))
	0.3b	(/.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 (fma.f64 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4))) (.f64 (cos.f64 x) (*.f64 (+.f64 (sqrt.f64 5) -1) 3/2)))))
	41.7b	(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (+.f64 (.f64 1/2 (pow.f64 y 4)) (.f64 (pow.f64 y 6) -5/24))))) (+.f64 (.f64 3/2 (-.f64 (sqrt.f64 5) 1)) (+.f64 3 (.f64 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4)))))))
	22.2b	(/.f64 (+.f64 2 (.f64 (.f64 (sqrt.f64 2) (.f64 -1/16 (pow.f64 (sin.f64 x) 2))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (cos.f64 x) (/.f64 2 (+.f64 (sqrt.f64 5) 1)))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
▶	22.2b	(/.f64 (+.f64 2 (.f64 (.f64 (sqrt.f64 2) (.f64 -1/16 (pow.f64 (sin.f64 x) 2))) (-.f64 (cos.f64 x) 1))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
	29.5b	(/.f64 (+.f64 2 (.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 (sin.f64 x) (+.f64 (.f64 y 257/256) (.f64 -1/16 (sin.f64 x)))) (.f64 y (.f64 -1/16 y)))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
	0.4b	(.f64 (fma.f64 (sqrt.f64 2) (.f64 (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)) (.f64 (fma.f64 (sin.f64 x) -1/16 (sin.f64 y)) (-.f64 (cos.f64 x) (cos.f64 y)))) 2) (/.f64 1 (fma.f64 (cos.f64 x) (.f64 (+.f64 (sqrt.f64 5) -1) 3/2) (fma.f64 (cos.f64 y) (/.f64 9 (+.f64 9/2 (sqrt.f64 45/4))) 3))))
	23.1b	(/.f64 (+.f64 2 (.f64 (.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) (sin.f64 y))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 1 (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (*.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
	24.9b	(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2))))) (+.f64 (/.f64 6 (+.f64 1 (sqrt.f64 5))) (+.f64 3 (.f64 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4)))))))
✓	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)))))
▶	41.8b	(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 1/2 (pow.f64 y 4))))) (+.f64 (.f64 3/2 (-.f64 (sqrt.f64 5) 1)) (+.f64 3 (*.f64 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4)))))))
	24.9b	(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2))))) (+.f64 (expm1.f64 (log1p.f64 (fma.f64 3/2 (sqrt.f64 5) -3/2))) (+.f64 3 (.f64 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4)))))))
	24.7b	(/.f64 (+.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x)) (+.f64 (.f64 -1/16 (sin.f64 x)) (sin.f64 y))))) 2) (+.f64 3 (+.f64 (.f64 3/2 (-.f64 (sqrt.f64 5) 1)) (*.f64 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4)))))))
	24.8b	(/.f64 (+.f64 2 (.f64 (.f64 (-.f64 (exp.f64 (log1p.f64 (.f64 (sqrt.f64 2) (+.f64 (sin.f64 x) (.f64 (sin.f64 y) -1/16))))) 1) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 1 (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (*.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
	24.9b	(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (-.f64 1/2 (.f64 1/2 (cos.f64 (+.f64 y y)))))))) (+.f64 (.f64 3/2 (-.f64 (sqrt.f64 5) 1)) (+.f64 3 (.f64 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4)))))))
	23.0b	(/.f64 (+.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 -1/16 (pow.f64 (sin.f64 y) 2)))) 2) (+.f64 3 (+.f64 (.f64 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4)))) (.f64 3/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))))))
	25.3b	(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (sin.f64 x)) (+.f64 (.f64 -1/16 (sin.f64 x)) (.f64 y 257/256))) (+.f64 (cos.f64 x) -1))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
	22.2b	(/.f64 (+.f64 2 (.f64 (.f64 (sqrt.f64 2) (.f64 -1/16 (pow.f64 (sin.f64 x) 2))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (/.f64 (cos.f64 x) (.f64 1/2 (+.f64 (sqrt.f64 5) 1)))) (.f64 (/.f64 (/.f64 4 (+.f64 3 (sqrt.f64 5))) 2) (cos.f64 y)))))
	22.2b	(/.f64 (+.f64 (.f64 (sqrt.f64 2) (.f64 (+.f64 (cos.f64 x) -1) (.f64 (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x)) (+.f64 (.f64 -1/16 (sin.f64 x)) (sin.f64 y))))) 2) (+.f64 3 (+.f64 (.f64 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4)))) (.f64 3/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))))))
	0.4b	(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (pow.f64 (cbrt.f64 (-.f64 (cos.f64 x) (cos.f64 y))) 3))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
	33.0b	(/.f64 (+.f64 2 (.f64 (.f64 (sqrt.f64 2) (.f64 -1/16 (pow.f64 (sin.f64 x) 2))) (-.f64 1 (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (/.f64 (cos.f64 x) (.f64 1/2 (+.f64 (sqrt.f64 5) 1)))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
	22.2b	(/.f64 (+.f64 2 (.f64 (.f64 (sqrt.f64 2) (.f64 -1/16 (pow.f64 (sin.f64 x) 2))) (.f64 (.f64 -2 (sin.f64 (.f64 (-.f64 x y) 1/2))) (sin.f64 (.f64 (+.f64 x y) 1/2))))) (.f64 3 (+.f64 (+.f64 1 (/.f64 (cos.f64 x) (.f64 1/2 (+.f64 (sqrt.f64 5) 1)))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
	32.9b	(/.f64 (+.f64 2 (.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) (pow.f64 (sin.f64 y) 2))) (+.f64 (cos.f64 x) -1))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
	22.3b	(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (sin.f64 x)) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (+.f64 (cos.f64 x) -1))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
	0.6b	(log.f64 (exp.f64 (/.f64 (fma.f64 (sqrt.f64 2) (.f64 (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)) (.f64 (fma.f64 (sin.f64 x) -1/16 (sin.f64 y)) (-.f64 (cos.f64 x) (cos.f64 y)))) 2) (fma.f64 (cos.f64 x) (*.f64 (+.f64 (sqrt.f64 5) -1) 3/2) (fma.f64 (cos.f64 y) (/.f64 9 (+.f64 9/2 (sqrt.f64 45/4))) 3)))))
	33.0b	(/.f64 (+.f64 2 (.f64 (.f64 (sqrt.f64 2) (.f64 -1/16 (pow.f64 (sin.f64 x) 2))) (-.f64 1 (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
	24.9b	(/.f64 (+.f64 2 (.f64 -1/16 (pow.f64 (.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 y)) (sqrt.f64 2))) (sin.f64 y)) 2))) (+.f64 (.f64 3/2 (-.f64 (sqrt.f64 5) 1)) (+.f64 3 (*.f64 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4)))))))
	33.2b	(/.f64 (+.f64 2 (.f64 (sqrt.f64 (.f64 2 (.f64 (pow.f64 (sin.f64 x) 4) 1/256))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
	0.4b	(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (/.f64 4 (+.f64 3 (sqrt.f64 5))) 2) (cos.f64 y)))))
	0.4b	(/.f64 (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 (sqrt.f64 45/4)) 3)))
▶	0.3b	(/.f64 (+.f64 (.f64 (sqrt.f64 2) (.f64 (fma.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cbrt.f64 (cos.f64 x)) (neg.f64 (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 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4)))) (.f64 3/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))))))
✓	23.1b	(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 1 (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
	26.8b	(/.f64 (+.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (sin.f64 x) (+.f64 (.f64 -1/16 (sin.f64 x)) (.f64 y 257/256))))) 2) (+.f64 3 (+.f64 (.f64 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4)))) (.f64 3/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))))))
	25.3b	(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (+.f64 (sin.f64 x) (.f64 y -1/16))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (+.f64 (cos.f64 x) -1))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (*.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
	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 (+.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 (fma.f64 (sin.f64 x) -1/16 (sin.f64 y)) (-.f64 (cos.f64 x) (cos.f64 y)))) 2)) -1)
	24.9b	(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (.f64 (.f64 (sin.f64 y) (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (cbrt.f64 (sin.f64 y))))))) (+.f64 (.f64 3/2 (-.f64 (sqrt.f64 5) 1)) (+.f64 3 (*.f64 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4)))))))
	41.7b	(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (.f64 y y))))) (+.f64 (.f64 3/2 (-.f64 (sqrt.f64 5) 1)) (+.f64 3 (.f64 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4)))))))
	41.7b	(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (.f64 1/2 (.f64 y y)) (pow.f64 (sin.f64 y) 2))))) (+.f64 (.f64 3/2 (-.f64 (sqrt.f64 5) 1)) (+.f64 3 (*.f64 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4)))))))
	23.4b	(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (+.f64 3 (+.f64 (.f64 9 (/.f64 1 (+.f64 9/2 (sqrt.f64 45/4)))) (.f64 3/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))))))
	23.1b	(/.f64 (+.f64 2 (.f64 (.f64 (pow.f64 (sin.f64 y) 2) (.f64 -1/16 (sqrt.f64 2))) (-.f64 1 (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
	33.1b	(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (sin.f64 x)) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 1 (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
	28.7b	(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (+.f64 (sin.f64 x) (.f64 y -1/16))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (*.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
	0.4b	(/.f64 (+.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x)) (+.f64 (.f64 -1/16 (sin.f64 x)) (sin.f64 y))))) 2) (+.f64 3 (+.f64 (.f64 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4)))) (pow.f64 (cbrt.f64 (.f64 (cos.f64 x) (.f64 (+.f64 (sqrt.f64 5) -1) 3/2))) 3))))
	22.1b	(/.f64 (+.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 -1/16 (pow.f64 (sin.f64 x) 2)))) 2) (+.f64 3 (+.f64 (.f64 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4)))) (.f64 3/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))))))
	0.3b	(/.f64 (+.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (cbrt.f64 (-.f64 (cos.f64 x) (cos.f64 y))) 3) (.f64 (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x)) (+.f64 (.f64 -1/16 (sin.f64 x)) (sin.f64 y))))) 2) (+.f64 3 (+.f64 (.f64 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4)))) (.f64 3/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))))))
▶	22.2b	(/.f64 (+.f64 2 (.f64 (.f64 (sqrt.f64 2) (.f64 -1/16 (pow.f64 (sin.f64 x) 2))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (log.f64 (exp.f64 (/.f64 (cos.f64 x) (fma.f64 1/2 (sqrt.f64 5) 1/2))))) (*.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
	24.9b	(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 y))) 3) (pow.f64 (sin.f64 y) 2))))) (+.f64 (.f64 3/2 (-.f64 (sqrt.f64 5) 1)) (+.f64 3 (*.f64 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4)))))))
✓	0.3b	(/.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 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4)))) (.f64 3/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))))))
✓	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 (log.f64 (exp.f64 (-.f64 3 (sqrt.f64 5)))) 2) (cos.f64 y)))))
	23.1b	(/.f64 (+.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (.f64 (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x)) (+.f64 (.f64 -1/16 (sin.f64 x)) (sin.f64 y))))) 2) (+.f64 3 (+.f64 (.f64 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4)))) (.f64 3/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))))))
	26.1b	(/.f64 (+.f64 2 (.f64 (.f64 (sqrt.f64 2) (.f64 (sin.f64 y) (+.f64 (.f64 x 257/256) (.f64 -1/16 (sin.f64 y))))) (-.f64 1 (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
	11.5b	(/.f64 (+.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x)) (+.f64 (.f64 -1/16 (sin.f64 x)) (sin.f64 y))))) 2) (+.f64 3 (pow.f64 (sqrt.f64 (fma.f64 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4))) (.f64 (cos.f64 x) (*.f64 (+.f64 (sqrt.f64 5) -1) 3/2)))) 2)))
	34.8b	(/.f64 (+.f64 2 (.f64 (.f64 (sqrt.f64 2) (.f64 -1/16 (pow.f64 (sin.f64 x) 2))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (/.f64 2 (+.f64 (sqrt.f64 5) 1))) (*.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
	21.1b	(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (sin.f64 x)) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
	22.2b	(/.f64 (+.f64 2 (.f64 (.f64 (sqrt.f64 2) (.f64 -1/16 (pow.f64 (sin.f64 x) 2))) (-.f64 (cos.f64 x) 1))) (.f64 3 (+.f64 (+.f64 1 (/.f64 (cos.f64 x) (.f64 1/2 (+.f64 (sqrt.f64 5) 1)))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
	0.4b	(/.f64 (+.f64 2 (.f64 (log.f64 (+.f64 1 (expm1.f64 (.f64 (sqrt.f64 2) (.f64 (+.f64 (sin.f64 x) (.f64 (sin.f64 y) -1/16)) (+.f64 (sin.f64 y) (.f64 (sin.f64 x) -1/16))))))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (log.f64 (exp.f64 (-.f64 3 (sqrt.f64 5)))) 2) (cos.f64 y)))))

Compiler

Compiled 5511 to 4515 computations (18.1% saved)

localize102.0ms (0.5%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.1b	(*.f64 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4))))
	0.1b	(+.f64 (*.f64 -1/16 (sin.f64 y)) (sin.f64 x))
	0.0b	(+.f64 (.f64 (sqrt.f64 2) (.f64 (fma.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cbrt.f64 (cos.f64 x)) (neg.f64 (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)
	0.0b	(cos.f64 x)
	0.3b	(.f64 (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x)) (+.f64 (*.f64 -1/16 (sin.f64 x)) (sin.f64 y)))
	0.4b	(+.f64 (.f64 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4)))) (.f64 3/2 (*.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))))
	0.7b	(.f64 3/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))
✓	2.6b	(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cbrt.f64 (cos.f64 x)) (neg.f64 (cos.f64 y)))

Compiler

Compiled 314 to 184 computations (41.4% saved)

series8.0ms (0%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cbrt.f64 (cos.f64 x)) (neg.f64 (cos.f64 y)))
2.0ms	x	@	-inf	(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cbrt.f64 (cos.f64 x)) (neg.f64 (cos.f64 y)))
2.0ms	x	@	0	(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cbrt.f64 (cos.f64 x)) (neg.f64 (cos.f64 y)))
2.0ms	y	@	inf	(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cbrt.f64 (cos.f64 x)) (neg.f64 (cos.f64 y)))
1.0ms	y	@	0	(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cbrt.f64 (cos.f64 x)) (neg.f64 (cos.f64 y)))

rewrite38.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

782×	`pow1_binary64`
720×	`add-log-exp_binary64`
719×	`log1p-expm1-u_binary64`
719×	`expm1-log1p-u_binary64`
703×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	10
1	202	8
2	2269	8

Stop Event

1×	node limit

Counts

1 → 22

Calls

Call 1

Inputs
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cbrt.f64 (cos.f64 x)) (neg.f64 (cos.f64 y)))

Outputs

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

simplify43.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

884×	`fma-def_binary64`
622×	`fma-neg_binary64`
570×	`unswap-sqr_binary64`
422×	`cancel-sign-sub-inv_binary64`
368×	`*-commutative_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	52	324
1	141	264
2	339	262
3	1083	260
4	3545	260
5	7771	260

Stop Event

1×	node limit

Counts

46 → 39

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 (*.f64 (pow.f64 1 1/3) (cos.f64 x)) (cos.f64 y))
(-.f64 (*.f64 (pow.f64 1 1/3) (cos.f64 x)) (cos.f64 y))
(-.f64 (*.f64 (pow.f64 1 1/3) (cos.f64 x)) (cos.f64 y))
(-.f64 (*.f64 (pow.f64 1 1/3) (cos.f64 x)) (cos.f64 y))
(-.f64 (*.f64 (cos.f64 x) (pow.f64 1 1/3)) (cos.f64 y))
(-.f64 (*.f64 (cos.f64 x) (pow.f64 1 1/3)) (cos.f64 y))
(-.f64 (*.f64 (cos.f64 x) (pow.f64 1 1/3)) (cos.f64 y))
(-.f64 (*.f64 (cos.f64 x) (pow.f64 1 1/3)) (cos.f64 y))
(-.f64 (*.f64 (cos.f64 x) (pow.f64 1 1/3)) 1)
(-.f64 (+.f64 (.f64 1/2 (pow.f64 y 2)) (.f64 (cos.f64 x) (pow.f64 1 1/3))) 1)
(-.f64 (+.f64 (.f64 1/2 (pow.f64 y 2)) (+.f64 (.f64 (cos.f64 x) (pow.f64 1 1/3)) (*.f64 -1/24 (pow.f64 y 4)))) 1)
(-.f64 (+.f64 (.f64 1/2 (pow.f64 y 2)) (+.f64 (.f64 1/720 (pow.f64 y 6)) (+.f64 (.f64 (cos.f64 x) (pow.f64 1 1/3)) (.f64 -1/24 (pow.f64 y 4))))) 1)
(-.f64 (*.f64 (cos.f64 x) (pow.f64 1 1/3)) (cos.f64 y))
(-.f64 (*.f64 (cos.f64 x) (pow.f64 1 1/3)) (cos.f64 y))
(-.f64 (*.f64 (cos.f64 x) (pow.f64 1 1/3)) (cos.f64 y))
(-.f64 (*.f64 (cos.f64 x) (pow.f64 1 1/3)) (cos.f64 y))
(-.f64 (*.f64 (cos.f64 x) (pow.f64 1 1/3)) (cos.f64 y))
(-.f64 (*.f64 (cos.f64 x) (pow.f64 1 1/3)) (cos.f64 y))
(-.f64 (*.f64 (cos.f64 x) (pow.f64 1 1/3)) (cos.f64 y))
(-.f64 (*.f64 (cos.f64 x) (pow.f64 1 1/3)) (cos.f64 y))

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

localize63.0ms (0.3%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.1b	(+.f64 (.f64 3/2 (-.f64 (sqrt.f64 5) 1)) (+.f64 3 (.f64 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4))))))
	0.0b	(+.f64 3 (*.f64 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4)))))
	0.0b	(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 1/2 (pow.f64 y 4))))) (+.f64 (.f64 3/2 (-.f64 (sqrt.f64 5) 1)) (+.f64 3 (*.f64 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4)))))))
	0.0b	(+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (*.f64 1/2 (pow.f64 y 4)))))
✓	0.1b	(/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4)))
✓	0.1b	(.f64 (sqrt.f64 2) (.f64 1/2 (pow.f64 y 4)))
✓	0.2b	(.f64 -1/16 (.f64 (sqrt.f64 2) (*.f64 1/2 (pow.f64 y 4))))
	1.0b	(*.f64 3/2 (-.f64 (sqrt.f64 5) 1))

Compiler

Compiled 150 to 132 computations (12% saved)

series4.0ms (0%)

Counts

3 → 28

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	y	@	0	(.f64 -1/16 (.f64 (sqrt.f64 2) (*.f64 1/2 (pow.f64 y 4))))
1.0ms	y	@	inf	(.f64 -1/16 (.f64 (sqrt.f64 2) (*.f64 1/2 (pow.f64 y 4))))
0.0ms	y	@	0	(/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4)))
0.0ms	y	@	0	(.f64 (sqrt.f64 2) (.f64 1/2 (pow.f64 y 4)))
0.0ms	y	@	inf	(.f64 (sqrt.f64 2) (.f64 1/2 (pow.f64 y 4)))

rewrite58.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

748×	`log-prod_binary64`
422×	`pow2_binary64`
294×	`expm1-udef_binary64`
294×	`log1p-udef_binary64`
292×	`pow1/3_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	38
1	366	38
2	4159	38

Stop Event

1×	node limit

Counts

3 → 79

Calls

Call 1

Inputs
(.f64 -1/16 (.f64 (sqrt.f64 2) (*.f64 1/2 (pow.f64 y 4))))
(.f64 (sqrt.f64 2) (.f64 1/2 (pow.f64 y 4)))
(/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 -1/16 (*.f64 (pow.f64 y 4) (*.f64 (sqrt.f64 2) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (sqrt.f64 (exp.f64 (pow.f64 y 4))) (sqrt.f64 2)) -1/16)) 2)) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (sqrt.f64 (exp.f64 (pow.f64 y 4))) (sqrt.f64 2)) -1/16))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (sqrt.f64 (exp.f64 (pow.f64 y 4))) (sqrt.f64 2)) -1/16))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (sqrt.f64 (exp.f64 (pow.f64 y 4))) (sqrt.f64 2)) -1/16))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 -1/16 (*.f64 (pow.f64 y 4) (*.f64 (sqrt.f64 2) 1/2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -1/16 (*.f64 (pow.f64 y 4) (*.f64 (sqrt.f64 2) 1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/256 (*.f64 2 (*.f64 (pow.f64 y 8) 1/4))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 -1/16 (*.f64 (pow.f64 y 4) (*.f64 (sqrt.f64 2) 1/2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 -1/16 (*.f64 (pow.f64 y 4) (*.f64 (sqrt.f64 2) 1/2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 -1/16 (*.f64 (pow.f64 y 4) (*.f64 (sqrt.f64 2) 1/2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 1/256 (*.f64 2 (*.f64 (pow.f64 y 8) 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (sqrt.f64 (exp.f64 (pow.f64 y 4))) (sqrt.f64 2)) -1/16))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/16 (*.f64 (pow.f64 y 4) (*.f64 (sqrt.f64 2) 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 -1/16 (*.f64 (pow.f64 y 4) (*.f64 (sqrt.f64 2) 1/2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -1/16 (*.f64 (pow.f64 y 4) (*.f64 (sqrt.f64 2) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -1/16 (*.f64 (pow.f64 y 4) (*.f64 (sqrt.f64 2) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 -1/16 (*.f64 (pow.f64 y 4) (*.f64 (sqrt.f64 2) 1/2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -1/16 (*.f64 (pow.f64 y 4) (*.f64 (sqrt.f64 2) 1/2)))))))))

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

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

simplify48.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

784×	`distribute-lft-out_binary64`
536×	`associate-/l*_binary64`
522×	`distribute-rgt-out_binary64`
459×	`*-commutative_binary64`
417×	`associate-/r*_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	34	414
1	79	414
2	173	414
3	431	414
4	1715	406
5	4963	406
6	6561	406

Stop Event

1×	node limit

Counts

107 → 90

Calls

Call 1

Inputs
(.f64 -1/32 (.f64 (sqrt.f64 2) (pow.f64 y 4)))
(.f64 -1/32 (.f64 (sqrt.f64 2) (pow.f64 y 4)))
(.f64 -1/32 (.f64 (sqrt.f64 2) (pow.f64 y 4)))
(.f64 -1/32 (.f64 (sqrt.f64 2) (pow.f64 y 4)))
(.f64 -1/32 (.f64 (sqrt.f64 2) (pow.f64 y 4)))
(.f64 -1/32 (.f64 (sqrt.f64 2) (pow.f64 y 4)))
(.f64 -1/32 (.f64 (sqrt.f64 2) (pow.f64 y 4)))
(.f64 -1/32 (.f64 (sqrt.f64 2) (pow.f64 y 4)))
(.f64 -1/32 (.f64 (sqrt.f64 2) (pow.f64 y 4)))
(.f64 -1/32 (.f64 (sqrt.f64 2) (pow.f64 y 4)))
(.f64 -1/32 (.f64 (sqrt.f64 2) (pow.f64 y 4)))
(.f64 -1/32 (.f64 (sqrt.f64 2) (pow.f64 y 4)))
(.f64 1/2 (.f64 (sqrt.f64 2) (pow.f64 y 4)))
(.f64 1/2 (.f64 (sqrt.f64 2) (pow.f64 y 4)))
(.f64 1/2 (.f64 (sqrt.f64 2) (pow.f64 y 4)))
(.f64 1/2 (.f64 (sqrt.f64 2) (pow.f64 y 4)))
(.f64 1/2 (.f64 (sqrt.f64 2) (pow.f64 y 4)))
(.f64 1/2 (.f64 (sqrt.f64 2) (pow.f64 y 4)))
(.f64 1/2 (.f64 (sqrt.f64 2) (pow.f64 y 4)))
(.f64 1/2 (.f64 (sqrt.f64 2) (pow.f64 y 4)))
(.f64 1/2 (.f64 (sqrt.f64 2) (pow.f64 y 4)))
(.f64 1/2 (.f64 (sqrt.f64 2) (pow.f64 y 4)))
(.f64 1/2 (.f64 (sqrt.f64 2) (pow.f64 y 4)))
(.f64 1/2 (.f64 (sqrt.f64 2) (pow.f64 y 4)))
(/.f64 1 (+.f64 9/2 (sqrt.f64 45/4)))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 y 2) (+.f64 9/2 (sqrt.f64 45/4)))) (/.f64 1 (+.f64 9/2 (sqrt.f64 45/4))))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 y 2) (+.f64 9/2 (sqrt.f64 45/4)))) (+.f64 (.f64 1/24 (/.f64 (pow.f64 y 4) (+.f64 9/2 (sqrt.f64 45/4)))) (/.f64 1 (+.f64 9/2 (sqrt.f64 45/4)))))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 y 2) (+.f64 9/2 (sqrt.f64 45/4)))) (+.f64 (.f64 -1/720 (/.f64 (pow.f64 y 6) (+.f64 9/2 (sqrt.f64 45/4)))) (+.f64 (*.f64 1/24 (/.f64 (pow.f64 y 4) (+.f64 9/2 (sqrt.f64 45/4)))) (/.f64 1 (+.f64 9/2 (sqrt.f64 45/4))))))

Outputs
(.f64 -1/32 (.f64 (sqrt.f64 2) (pow.f64 y 4)))
(.f64 (pow.f64 y 4) (.f64 -1/32 (sqrt.f64 2)))
(.f64 (sqrt.f64 2) (.f64 -1/32 (pow.f64 y 4)))
(.f64 -1/32 (.f64 (sqrt.f64 2) (pow.f64 y 4)))
(.f64 (pow.f64 y 4) (.f64 -1/32 (sqrt.f64 2)))
(.f64 (sqrt.f64 2) (.f64 -1/32 (pow.f64 y 4)))
(.f64 -1/32 (.f64 (sqrt.f64 2) (pow.f64 y 4)))
(.f64 (pow.f64 y 4) (.f64 -1/32 (sqrt.f64 2)))
(.f64 (sqrt.f64 2) (.f64 -1/32 (pow.f64 y 4)))
(.f64 -1/32 (.f64 (sqrt.f64 2) (pow.f64 y 4)))
(.f64 (pow.f64 y 4) (.f64 -1/32 (sqrt.f64 2)))
(.f64 (sqrt.f64 2) (.f64 -1/32 (pow.f64 y 4)))
(.f64 -1/32 (.f64 (sqrt.f64 2) (pow.f64 y 4)))
(.f64 (pow.f64 y 4) (.f64 -1/32 (sqrt.f64 2)))
(.f64 (sqrt.f64 2) (.f64 -1/32 (pow.f64 y 4)))
(.f64 -1/32 (.f64 (sqrt.f64 2) (pow.f64 y 4)))
(.f64 (pow.f64 y 4) (.f64 -1/32 (sqrt.f64 2)))
(.f64 (sqrt.f64 2) (.f64 -1/32 (pow.f64 y 4)))
(.f64 -1/32 (.f64 (sqrt.f64 2) (pow.f64 y 4)))
(.f64 (pow.f64 y 4) (.f64 -1/32 (sqrt.f64 2)))
(.f64 (sqrt.f64 2) (.f64 -1/32 (pow.f64 y 4)))
(.f64 -1/32 (.f64 (sqrt.f64 2) (pow.f64 y 4)))
(.f64 (pow.f64 y 4) (.f64 -1/32 (sqrt.f64 2)))
(.f64 (sqrt.f64 2) (.f64 -1/32 (pow.f64 y 4)))
(.f64 -1/32 (.f64 (sqrt.f64 2) (pow.f64 y 4)))
(.f64 (pow.f64 y 4) (.f64 -1/32 (sqrt.f64 2)))
(.f64 (sqrt.f64 2) (.f64 -1/32 (pow.f64 y 4)))
(.f64 -1/32 (.f64 (sqrt.f64 2) (pow.f64 y 4)))
(.f64 (pow.f64 y 4) (.f64 -1/32 (sqrt.f64 2)))
(.f64 (sqrt.f64 2) (.f64 -1/32 (pow.f64 y 4)))
(.f64 -1/32 (.f64 (sqrt.f64 2) (pow.f64 y 4)))
(.f64 (pow.f64 y 4) (.f64 -1/32 (sqrt.f64 2)))
(.f64 (sqrt.f64 2) (.f64 -1/32 (pow.f64 y 4)))
(.f64 -1/32 (.f64 (sqrt.f64 2) (pow.f64 y 4)))
(.f64 (pow.f64 y 4) (.f64 -1/32 (sqrt.f64 2)))
(.f64 (sqrt.f64 2) (.f64 -1/32 (pow.f64 y 4)))
(.f64 1/2 (.f64 (sqrt.f64 2) (pow.f64 y 4)))
(.f64 (.f64 (sqrt.f64 2) (pow.f64 y 4)) 1/2)
(.f64 (pow.f64 y 4) (.f64 (sqrt.f64 2) 1/2))
(.f64 (sqrt.f64 2) (.f64 (pow.f64 y 4) 1/2))
(.f64 1/2 (.f64 (sqrt.f64 2) (pow.f64 y 4)))
(.f64 (.f64 (sqrt.f64 2) (pow.f64 y 4)) 1/2)
(.f64 (pow.f64 y 4) (.f64 (sqrt.f64 2) 1/2))
(.f64 (sqrt.f64 2) (.f64 (pow.f64 y 4) 1/2))
(.f64 1/2 (.f64 (sqrt.f64 2) (pow.f64 y 4)))
(.f64 (.f64 (sqrt.f64 2) (pow.f64 y 4)) 1/2)
(.f64 (pow.f64 y 4) (.f64 (sqrt.f64 2) 1/2))
(.f64 (sqrt.f64 2) (.f64 (pow.f64 y 4) 1/2))
(.f64 1/2 (.f64 (sqrt.f64 2) (pow.f64 y 4)))
(.f64 (.f64 (sqrt.f64 2) (pow.f64 y 4)) 1/2)
(.f64 (pow.f64 y 4) (.f64 (sqrt.f64 2) 1/2))
(.f64 (sqrt.f64 2) (.f64 (pow.f64 y 4) 1/2))
(.f64 1/2 (.f64 (sqrt.f64 2) (pow.f64 y 4)))
(.f64 (.f64 (sqrt.f64 2) (pow.f64 y 4)) 1/2)
(.f64 (pow.f64 y 4) (.f64 (sqrt.f64 2) 1/2))
(.f64 (sqrt.f64 2) (.f64 (pow.f64 y 4) 1/2))
(.f64 1/2 (.f64 (sqrt.f64 2) (pow.f64 y 4)))
(.f64 (.f64 (sqrt.f64 2) (pow.f64 y 4)) 1/2)
(.f64 (pow.f64 y 4) (.f64 (sqrt.f64 2) 1/2))
(.f64 (sqrt.f64 2) (.f64 (pow.f64 y 4) 1/2))
(.f64 1/2 (.f64 (sqrt.f64 2) (pow.f64 y 4)))
(.f64 (.f64 (sqrt.f64 2) (pow.f64 y 4)) 1/2)
(.f64 (pow.f64 y 4) (.f64 (sqrt.f64 2) 1/2))
(.f64 (sqrt.f64 2) (.f64 (pow.f64 y 4) 1/2))
(.f64 1/2 (.f64 (sqrt.f64 2) (pow.f64 y 4)))
(.f64 (.f64 (sqrt.f64 2) (pow.f64 y 4)) 1/2)
(.f64 (pow.f64 y 4) (.f64 (sqrt.f64 2) 1/2))
(.f64 (sqrt.f64 2) (.f64 (pow.f64 y 4) 1/2))
(.f64 1/2 (.f64 (sqrt.f64 2) (pow.f64 y 4)))
(.f64 (.f64 (sqrt.f64 2) (pow.f64 y 4)) 1/2)
(.f64 (pow.f64 y 4) (.f64 (sqrt.f64 2) 1/2))
(.f64 (sqrt.f64 2) (.f64 (pow.f64 y 4) 1/2))
(.f64 1/2 (.f64 (sqrt.f64 2) (pow.f64 y 4)))
(.f64 (.f64 (sqrt.f64 2) (pow.f64 y 4)) 1/2)
(.f64 (pow.f64 y 4) (.f64 (sqrt.f64 2) 1/2))
(.f64 (sqrt.f64 2) (.f64 (pow.f64 y 4) 1/2))
(.f64 1/2 (.f64 (sqrt.f64 2) (pow.f64 y 4)))
(.f64 (.f64 (sqrt.f64 2) (pow.f64 y 4)) 1/2)
(.f64 (pow.f64 y 4) (.f64 (sqrt.f64 2) 1/2))
(.f64 (sqrt.f64 2) (.f64 (pow.f64 y 4) 1/2))
(.f64 1/2 (.f64 (sqrt.f64 2) (pow.f64 y 4)))
(.f64 (.f64 (sqrt.f64 2) (pow.f64 y 4)) 1/2)
(.f64 (pow.f64 y 4) (.f64 (sqrt.f64 2) 1/2))
(.f64 (sqrt.f64 2) (.f64 (pow.f64 y 4) 1/2))
(/.f64 1 (+.f64 9/2 (sqrt.f64 45/4)))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 y 2) (+.f64 9/2 (sqrt.f64 45/4)))) (/.f64 1 (+.f64 9/2 (sqrt.f64 45/4))))
(fma.f64 -1/2 (/.f64 (*.f64 y y) (+.f64 9/2 (sqrt.f64 45/4))) (/.f64 1 (+.f64 9/2 (sqrt.f64 45/4))))
(fma.f64 -1/2 (*.f64 y (/.f64 y (+.f64 9/2 (sqrt.f64 45/4)))) (/.f64 1 (+.f64 9/2 (sqrt.f64 45/4))))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 y 2) (+.f64 9/2 (sqrt.f64 45/4)))) (+.f64 (.f64 1/24 (/.f64 (pow.f64 y 4) (+.f64 9/2 (sqrt.f64 45/4)))) (/.f64 1 (+.f64 9/2 (sqrt.f64 45/4)))))
(fma.f64 -1/2 (/.f64 (*.f64 y y) (+.f64 9/2 (sqrt.f64 45/4))) (fma.f64 1/24 (/.f64 (pow.f64 y 4) (+.f64 9/2 (sqrt.f64 45/4))) (/.f64 1 (+.f64 9/2 (sqrt.f64 45/4)))))
(+.f64 (/.f64 1 (+.f64 9/2 (sqrt.f64 45/4))) (.f64 (/.f64 (.f64 y y) (+.f64 9/2 (sqrt.f64 45/4))) (+.f64 -1/2 (.f64 y (.f64 y 1/24)))))
(+.f64 (/.f64 1 (+.f64 9/2 (sqrt.f64 45/4))) (.f64 (.f64 y (/.f64 y (+.f64 9/2 (sqrt.f64 45/4)))) (+.f64 -1/2 (.f64 (.f64 y y) 1/24))))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 y 2) (+.f64 9/2 (sqrt.f64 45/4)))) (+.f64 (.f64 -1/720 (/.f64 (pow.f64 y 6) (+.f64 9/2 (sqrt.f64 45/4)))) (+.f64 (*.f64 1/24 (/.f64 (pow.f64 y 4) (+.f64 9/2 (sqrt.f64 45/4)))) (/.f64 1 (+.f64 9/2 (sqrt.f64 45/4))))))
(fma.f64 -1/2 (/.f64 (*.f64 y y) (+.f64 9/2 (sqrt.f64 45/4))) (fma.f64 -1/720 (/.f64 (pow.f64 y 6) (+.f64 9/2 (sqrt.f64 45/4))) (fma.f64 1/24 (/.f64 (pow.f64 y 4) (+.f64 9/2 (sqrt.f64 45/4))) (/.f64 1 (+.f64 9/2 (sqrt.f64 45/4))))))
(fma.f64 -1/2 (/.f64 (*.f64 y y) (+.f64 9/2 (sqrt.f64 45/4))) (fma.f64 1/24 (/.f64 (pow.f64 y 4) (+.f64 9/2 (sqrt.f64 45/4))) (fma.f64 -1/720 (/.f64 (pow.f64 y 6) (+.f64 9/2 (sqrt.f64 45/4))) (/.f64 1 (+.f64 9/2 (sqrt.f64 45/4))))))
(+.f64 (/.f64 1 (+.f64 9/2 (sqrt.f64 45/4))) (fma.f64 -1/720 (/.f64 (pow.f64 y 6) (+.f64 9/2 (sqrt.f64 45/4))) (.f64 (/.f64 (.f64 y y) (+.f64 9/2 (sqrt.f64 45/4))) (+.f64 -1/2 (.f64 y (.f64 y 1/24))))))
(fma.f64 -1/720 (/.f64 (pow.f64 y 6) (+.f64 9/2 (sqrt.f64 45/4))) (+.f64 (/.f64 1 (+.f64 9/2 (sqrt.f64 45/4))) (.f64 (.f64 y (/.f64 y (+.f64 9/2 (sqrt.f64 45/4)))) (+.f64 -1/2 (.f64 (.f64 y y) 1/24)))))

localize82.0ms (0.4%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.1b	(.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (*.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y))))
	0.1b	(+.f64 1 (*.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x)))
	0.1b	(*.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y))
	0.0b	(cos.f64 x)
	0.3b	(*.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))
	0.3b	(.f64 (sqrt.f64 2) (.f64 -1/16 (pow.f64 (sin.f64 x) 2)))
	1.0b	(-.f64 3 (sqrt.f64 5))
✓	1.7b	(-.f64 (cos.f64 x) 1)

Compiler

Compiled 205 to 162 computations (21% saved)

series1.0ms (0%)

Counts

1 → 4

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(-.f64 (cos.f64 x) 1)
0.0ms	x	@	inf	(-.f64 (cos.f64 x) 1)
0.0ms	x	@	-inf	(-.f64 (cos.f64 x) 1)

rewrite36.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

498×	`pow1_binary64`
485×	`add-sqr-sqrt_binary64`
464×	`add-log-exp_binary64`
463×	`log1p-expm1-u_binary64`
463×	`expm1-log1p-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	6
1	104	6
2	1281	6

Stop Event

1×	node limit

Counts

1 → 31

Calls

Call 1

Inputs
(-.f64 (cos.f64 x) 1)

Outputs

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

simplify82.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

604×	`distribute-rgt-out_binary64`
532×	`sqr-pow_binary64`
482×	`associate-+l+_binary64`
477×	`distribute-lft-out_binary64`
413×	`unswap-sqr_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	70
1	56	70
2	129	70
3	422	70
4	1870	70
5	4254	70
6	4632	70
7	5138	70
8	6128	70
9	7112	70
10	7547	70

Stop Event

1×	node limit

Counts

35 → 39

Calls

Call 1

Inputs
(*.f64 -1/2 (pow.f64 x 2))
(+.f64 (.f64 1/24 (pow.f64 x 4)) (.f64 -1/2 (pow.f64 x 2)))
(+.f64 (.f64 1/24 (pow.f64 x 4)) (+.f64 (.f64 -1/2 (pow.f64 x 2)) (*.f64 -1/720 (pow.f64 x 6))))
(+.f64 (.f64 1/24 (pow.f64 x 4)) (+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/720 (pow.f64 x 6)) (.f64 1/40320 (pow.f64 x 8)))))

Outputs
(*.f64 -1/2 (pow.f64 x 2))
(.f64 -1/2 (.f64 x x))
(+.f64 (.f64 1/24 (pow.f64 x 4)) (.f64 -1/2 (pow.f64 x 2)))
(fma.f64 1/24 (pow.f64 x 4) (.f64 -1/2 (.f64 x x)))
(fma.f64 -1/2 (.f64 x x) (.f64 1/24 (pow.f64 x 4)))
(.f64 (.f64 x x) (fma.f64 x (*.f64 x 1/24) -1/2))
(+.f64 (.f64 1/24 (pow.f64 x 4)) (+.f64 (.f64 -1/2 (pow.f64 x 2)) (*.f64 -1/720 (pow.f64 x 6))))
(fma.f64 1/24 (pow.f64 x 4) (fma.f64 -1/2 (.f64 x x) (.f64 -1/720 (pow.f64 x 6))))
(fma.f64 -1/2 (.f64 x x) (fma.f64 -1/720 (pow.f64 x 6) (.f64 1/24 (pow.f64 x 4))))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x 1/24) -1/2) (*.f64 -1/720 (pow.f64 x 6)))
(+.f64 (.f64 1/24 (pow.f64 x 4)) (+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/720 (pow.f64 x 6)) (.f64 1/40320 (pow.f64 x 8)))))
(fma.f64 1/24 (pow.f64 x 4) (fma.f64 -1/2 (.f64 x x) (fma.f64 -1/720 (pow.f64 x 6) (.f64 1/40320 (pow.f64 x 8)))))
(fma.f64 1/24 (pow.f64 x 4) (fma.f64 -1/720 (pow.f64 x 6) (fma.f64 -1/2 (.f64 x x) (.f64 1/40320 (pow.f64 x 8)))))
(fma.f64 -1/2 (.f64 x x) (fma.f64 1/24 (pow.f64 x 4) (fma.f64 -1/720 (pow.f64 x 6) (.f64 1/40320 (pow.f64 x 8)))))

localize98.0ms (0.5%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.1b	(+.f64 1 (*.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x)))
	0.1b	(*.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y))
	0.1b	(-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))
	0.0b	(cos.f64 x)
✓	0.3b	(.f64 (.f64 -1/16 (*.f64 (sqrt.f64 2) (sin.f64 y))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16)))
✓	0.4b	(*.f64 (sqrt.f64 2) (sin.f64 y))
	1.0b	(-.f64 3 (sqrt.f64 5))
	1.7b	(+.f64 (cos.f64 x) -1)

Compiler

Compiled 246 to 180 computations (26.8% saved)

series7.0ms (0%)

Counts

2 → 28

Calls

9 calls:

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

rewrite58.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

701×	`log-prod_binary64`
538×	`prod-diff_binary64`
264×	`pow1/3_binary64`
262×	`expm1-udef_binary64`
262×	`log1p-udef_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	14	32
1	303	32
2	3760	30

Stop Event

1×	node limit

Counts

2 → 48

Calls

Call 1

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

Outputs

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

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

simplify77.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

505×	`distribute-rgt-in_binary64`
476×	`fma-def_binary64`
471×	`distribute-lft-out_binary64`
393×	`unsub-neg_binary64`
349×	`associate-l_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	75	767
1	214	767
2	626	695
3	2414	648
4	3896	648
5	5765	648
6	7269	648

Stop Event

1×	node limit

Counts

76 → 73

Calls

Call 1

Inputs
(*.f64 (sqrt.f64 2) y)
(+.f64 (.f64 (sqrt.f64 2) y) (.f64 -1/6 (*.f64 (sqrt.f64 2) (pow.f64 y 3))))
(+.f64 (.f64 (sqrt.f64 2) y) (+.f64 (.f64 -1/6 (.f64 (sqrt.f64 2) (pow.f64 y 3))) (.f64 1/120 (*.f64 (sqrt.f64 2) (pow.f64 y 5)))))
(+.f64 (.f64 (sqrt.f64 2) y) (+.f64 (.f64 -1/6 (.f64 (sqrt.f64 2) (pow.f64 y 3))) (+.f64 (.f64 -1/5040 (.f64 (sqrt.f64 2) (pow.f64 y 7))) (.f64 1/120 (*.f64 (sqrt.f64 2) (pow.f64 y 5))))))
(.f64 1/256 (.f64 (sqrt.f64 2) (*.f64 y (sin.f64 x))))
(+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) (pow.f64 y 2))) (.f64 1/256 (.f64 (sqrt.f64 2) (*.f64 y (sin.f64 x)))))
(+.f64 (.f64 -1/1536 (.f64 (sqrt.f64 2) (.f64 (pow.f64 y 3) (sin.f64 x)))) (+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) (pow.f64 y 2))) (.f64 1/256 (.f64 (sqrt.f64 2) (.f64 y (sin.f64 x))))))
(+.f64 (.f64 -1/1536 (.f64 (sqrt.f64 2) (.f64 (pow.f64 y 3) (sin.f64 x)))) (+.f64 (.f64 1/48 (.f64 (sqrt.f64 2) (pow.f64 y 4))) (+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) (pow.f64 y 2))) (.f64 1/256 (.f64 (sqrt.f64 2) (.f64 y (sin.f64 x)))))))
(.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x))) (sin.f64 y))))
(.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x))) (sin.f64 y))))
(.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x))) (sin.f64 y))))
(.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x))) (sin.f64 y))))
(.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x))) (sin.f64 y))))
(.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x))) (sin.f64 y))))
(.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x))) (sin.f64 y))))
(.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x))) (sin.f64 y))))
(.f64 -1/16 (.f64 (sqrt.f64 2) (pow.f64 (sin.f64 y) 2)))
(+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) (pow.f64 (sin.f64 y) 2))) (.f64 1/256 (.f64 (sqrt.f64 2) (*.f64 (sin.f64 y) x))))
(+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) (pow.f64 (sin.f64 y) 2))) (+.f64 (.f64 -1/1536 (.f64 (sqrt.f64 2) (.f64 (sin.f64 y) (pow.f64 x 3)))) (.f64 1/256 (.f64 (sqrt.f64 2) (.f64 (sin.f64 y) x)))))
(+.f64 (.f64 1/30720 (.f64 (sqrt.f64 2) (.f64 (sin.f64 y) (pow.f64 x 5)))) (+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) (pow.f64 (sin.f64 y) 2))) (+.f64 (.f64 -1/1536 (.f64 (sqrt.f64 2) (.f64 (sin.f64 y) (pow.f64 x 3)))) (.f64 1/256 (.f64 (sqrt.f64 2) (*.f64 (sin.f64 y) x))))))
(.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x))) (sin.f64 y))))
(.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x))) (sin.f64 y))))
(.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x))) (sin.f64 y))))
(.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x))) (sin.f64 y))))
(.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x))) (sin.f64 y))))
(.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x))) (sin.f64 y))))
(.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x))) (sin.f64 y))))
(.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x))) (sin.f64 y))))

Outputs
(*.f64 (sqrt.f64 2) y)
(+.f64 (.f64 (sqrt.f64 2) y) (.f64 -1/6 (*.f64 (sqrt.f64 2) (pow.f64 y 3))))
(fma.f64 (sqrt.f64 2) y (.f64 -1/6 (.f64 (sqrt.f64 2) (pow.f64 y 3))))
(fma.f64 (sqrt.f64 2) y (.f64 (sqrt.f64 2) (.f64 (pow.f64 y 3) -1/6)))
(.f64 (sqrt.f64 2) (+.f64 y (.f64 -1/6 (pow.f64 y 3))))
(+.f64 (.f64 (sqrt.f64 2) y) (+.f64 (.f64 -1/6 (.f64 (sqrt.f64 2) (pow.f64 y 3))) (.f64 1/120 (*.f64 (sqrt.f64 2) (pow.f64 y 5)))))
(fma.f64 (sqrt.f64 2) y (fma.f64 -1/6 (.f64 (sqrt.f64 2) (pow.f64 y 3)) (.f64 (*.f64 1/120 (sqrt.f64 2)) (pow.f64 y 5))))
(fma.f64 (sqrt.f64 2) y (fma.f64 -1/6 (.f64 (sqrt.f64 2) (pow.f64 y 3)) (.f64 1/120 (*.f64 (sqrt.f64 2) (pow.f64 y 5)))))
(fma.f64 (sqrt.f64 2) y (.f64 (sqrt.f64 2) (+.f64 (.f64 1/120 (pow.f64 y 5)) (*.f64 -1/6 (pow.f64 y 3)))))
(.f64 (sqrt.f64 2) (+.f64 (.f64 -1/6 (pow.f64 y 3)) (+.f64 y (*.f64 1/120 (pow.f64 y 5)))))
(+.f64 (.f64 (sqrt.f64 2) y) (+.f64 (.f64 -1/6 (.f64 (sqrt.f64 2) (pow.f64 y 3))) (+.f64 (.f64 -1/5040 (.f64 (sqrt.f64 2) (pow.f64 y 7))) (.f64 1/120 (*.f64 (sqrt.f64 2) (pow.f64 y 5))))))
(fma.f64 (sqrt.f64 2) y (fma.f64 -1/6 (.f64 (sqrt.f64 2) (pow.f64 y 3)) (fma.f64 -1/5040 (.f64 (sqrt.f64 2) (pow.f64 y 7)) (.f64 (.f64 1/120 (sqrt.f64 2)) (pow.f64 y 5)))))
(fma.f64 (sqrt.f64 2) y (fma.f64 -1/6 (.f64 (sqrt.f64 2) (pow.f64 y 3)) (fma.f64 1/120 (.f64 (sqrt.f64 2) (pow.f64 y 5)) (.f64 -1/5040 (.f64 (sqrt.f64 2) (pow.f64 y 7))))))
(+.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 1/120 (pow.f64 y 5)) (.f64 -1/5040 (pow.f64 y 7)))) (.f64 (sqrt.f64 2) (+.f64 y (*.f64 -1/6 (pow.f64 y 3)))))
(.f64 (sqrt.f64 2) (+.f64 (+.f64 y (.f64 1/120 (pow.f64 y 5))) (+.f64 (.f64 -1/5040 (pow.f64 y 7)) (.f64 -1/6 (pow.f64 y 3)))))
(.f64 (sqrt.f64 2) (+.f64 y (+.f64 (.f64 1/120 (pow.f64 y 5)) (+.f64 (.f64 -1/5040 (pow.f64 y 7)) (.f64 -1/6 (pow.f64 y 3))))))
(.f64 1/256 (.f64 (sqrt.f64 2) (*.f64 y (sin.f64 x))))
(.f64 1/256 (.f64 (*.f64 (sqrt.f64 2) y) (sin.f64 x)))
(.f64 (sqrt.f64 2) (.f64 (*.f64 y (sin.f64 x)) 1/256))
(.f64 (sqrt.f64 2) (.f64 y (*.f64 1/256 (sin.f64 x))))
(+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) (pow.f64 y 2))) (.f64 1/256 (.f64 (sqrt.f64 2) (*.f64 y (sin.f64 x)))))
(fma.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 y y)) (.f64 1/256 (.f64 (*.f64 (sqrt.f64 2) y) (sin.f64 x))))
(fma.f64 (.f64 (sqrt.f64 2) 1/256) (.f64 y (sin.f64 x)) (.f64 (.f64 y y) (*.f64 (sqrt.f64 2) -1/16)))
(.f64 (sqrt.f64 2) (+.f64 (.f64 y (.f64 y -1/16)) (.f64 y (*.f64 1/256 (sin.f64 x)))))
(.f64 (.f64 (sqrt.f64 2) y) (+.f64 (.f64 1/256 (sin.f64 x)) (.f64 -1/16 y)))
(+.f64 (.f64 -1/1536 (.f64 (sqrt.f64 2) (.f64 (pow.f64 y 3) (sin.f64 x)))) (+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) (pow.f64 y 2))) (.f64 1/256 (.f64 (sqrt.f64 2) (.f64 y (sin.f64 x))))))
(fma.f64 -1/1536 (.f64 (.f64 (sqrt.f64 2) (pow.f64 y 3)) (sin.f64 x)) (fma.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 y y)) (.f64 1/256 (.f64 (*.f64 (sqrt.f64 2) y) (sin.f64 x)))))
(fma.f64 -1/1536 (.f64 (.f64 (sqrt.f64 2) (pow.f64 y 3)) (sin.f64 x)) (fma.f64 (.f64 (sqrt.f64 2) 1/256) (.f64 y (sin.f64 x)) (.f64 (.f64 y y) (*.f64 (sqrt.f64 2) -1/16))))
(fma.f64 (sqrt.f64 2) (.f64 (pow.f64 y 3) (.f64 (sin.f64 x) -1/1536)) (.f64 (sqrt.f64 2) (+.f64 (.f64 y (.f64 y -1/16)) (.f64 y (*.f64 1/256 (sin.f64 x))))))
(.f64 (sqrt.f64 2) (+.f64 (.f64 y (.f64 y -1/16)) (.f64 (sin.f64 x) (+.f64 (.f64 -1/1536 (pow.f64 y 3)) (.f64 1/256 y)))))
(+.f64 (.f64 -1/1536 (.f64 (sqrt.f64 2) (.f64 (pow.f64 y 3) (sin.f64 x)))) (+.f64 (.f64 1/48 (.f64 (sqrt.f64 2) (pow.f64 y 4))) (+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) (pow.f64 y 2))) (.f64 1/256 (.f64 (sqrt.f64 2) (.f64 y (sin.f64 x)))))))
(fma.f64 -1/1536 (.f64 (.f64 (sqrt.f64 2) (pow.f64 y 3)) (sin.f64 x)) (fma.f64 1/48 (.f64 (sqrt.f64 2) (pow.f64 y 4)) (fma.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 y y)) (.f64 1/256 (.f64 (.f64 (sqrt.f64 2) y) (sin.f64 x))))))
(fma.f64 -1/1536 (.f64 (.f64 (sqrt.f64 2) (pow.f64 y 3)) (sin.f64 x)) (fma.f64 1/48 (.f64 (sqrt.f64 2) (pow.f64 y 4)) (fma.f64 (.f64 (sqrt.f64 2) 1/256) (.f64 y (sin.f64 x)) (.f64 (.f64 y y) (.f64 (sqrt.f64 2) -1/16)))))
(+.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 y (.f64 y -1/16)) (.f64 y (.f64 1/256 (sin.f64 x))))) (.f64 (sqrt.f64 2) (+.f64 (.f64 1/48 (pow.f64 y 4)) (.f64 (pow.f64 y 3) (*.f64 (sin.f64 x) -1/1536)))))
(.f64 (sqrt.f64 2) (+.f64 (.f64 (pow.f64 y 3) (+.f64 (.f64 y 1/48) (.f64 (sin.f64 x) -1/1536))) (.f64 y (+.f64 (.f64 1/256 (sin.f64 x)) (*.f64 -1/16 y)))))
(.f64 (sqrt.f64 2) (+.f64 (.f64 (pow.f64 y 3) (+.f64 (.f64 (sin.f64 x) -1/1536) (.f64 y 1/48))) (.f64 y (+.f64 (.f64 1/256 (sin.f64 x)) (*.f64 -1/16 y)))))
(.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x))) (sin.f64 y))))
(.f64 (.f64 -1/16 (sqrt.f64 2)) (.f64 (sin.f64 y) (+.f64 (sin.f64 y) (.f64 -1/16 (sin.f64 x)))))
(.f64 (sqrt.f64 2) (.f64 (.f64 (sin.f64 y) (+.f64 (sin.f64 y) (.f64 (sin.f64 x) -1/16))) -1/16))
(.f64 (sqrt.f64 2) (.f64 (fma.f64 (sin.f64 x) -1/16 (sin.f64 y)) (*.f64 -1/16 (sin.f64 y))))
(.f64 (sqrt.f64 2) (.f64 -1/16 (*.f64 (sin.f64 y) (fma.f64 (sin.f64 x) -1/16 (sin.f64 y)))))
(.f64 (sin.f64 y) (.f64 (fma.f64 (sin.f64 x) -1/16 (sin.f64 y)) (*.f64 (sqrt.f64 2) -1/16)))
(.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x))) (sin.f64 y))))
(.f64 (.f64 -1/16 (sqrt.f64 2)) (.f64 (sin.f64 y) (+.f64 (sin.f64 y) (.f64 -1/16 (sin.f64 x)))))
(.f64 (sqrt.f64 2) (.f64 (.f64 (sin.f64 y) (+.f64 (sin.f64 y) (.f64 (sin.f64 x) -1/16))) -1/16))
(.f64 (sqrt.f64 2) (.f64 (fma.f64 (sin.f64 x) -1/16 (sin.f64 y)) (*.f64 -1/16 (sin.f64 y))))
(.f64 (sqrt.f64 2) (.f64 -1/16 (*.f64 (sin.f64 y) (fma.f64 (sin.f64 x) -1/16 (sin.f64 y)))))
(.f64 (sin.f64 y) (.f64 (fma.f64 (sin.f64 x) -1/16 (sin.f64 y)) (*.f64 (sqrt.f64 2) -1/16)))
(.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x))) (sin.f64 y))))
(.f64 (.f64 -1/16 (sqrt.f64 2)) (.f64 (sin.f64 y) (+.f64 (sin.f64 y) (.f64 -1/16 (sin.f64 x)))))
(.f64 (sqrt.f64 2) (.f64 (.f64 (sin.f64 y) (+.f64 (sin.f64 y) (.f64 (sin.f64 x) -1/16))) -1/16))
(.f64 (sqrt.f64 2) (.f64 (fma.f64 (sin.f64 x) -1/16 (sin.f64 y)) (*.f64 -1/16 (sin.f64 y))))
(.f64 (sqrt.f64 2) (.f64 -1/16 (*.f64 (sin.f64 y) (fma.f64 (sin.f64 x) -1/16 (sin.f64 y)))))
(.f64 (sin.f64 y) (.f64 (fma.f64 (sin.f64 x) -1/16 (sin.f64 y)) (*.f64 (sqrt.f64 2) -1/16)))
(.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x))) (sin.f64 y))))
(.f64 (.f64 -1/16 (sqrt.f64 2)) (.f64 (sin.f64 y) (+.f64 (sin.f64 y) (.f64 -1/16 (sin.f64 x)))))
(.f64 (sqrt.f64 2) (.f64 (.f64 (sin.f64 y) (+.f64 (sin.f64 y) (.f64 (sin.f64 x) -1/16))) -1/16))
(.f64 (sqrt.f64 2) (.f64 (fma.f64 (sin.f64 x) -1/16 (sin.f64 y)) (*.f64 -1/16 (sin.f64 y))))
(.f64 (sqrt.f64 2) (.f64 -1/16 (*.f64 (sin.f64 y) (fma.f64 (sin.f64 x) -1/16 (sin.f64 y)))))
(.f64 (sin.f64 y) (.f64 (fma.f64 (sin.f64 x) -1/16 (sin.f64 y)) (*.f64 (sqrt.f64 2) -1/16)))
(.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x))) (sin.f64 y))))
(.f64 (.f64 -1/16 (sqrt.f64 2)) (.f64 (sin.f64 y) (+.f64 (sin.f64 y) (.f64 -1/16 (sin.f64 x)))))
(.f64 (sqrt.f64 2) (.f64 (.f64 (sin.f64 y) (+.f64 (sin.f64 y) (.f64 (sin.f64 x) -1/16))) -1/16))
(.f64 (sqrt.f64 2) (.f64 (fma.f64 (sin.f64 x) -1/16 (sin.f64 y)) (*.f64 -1/16 (sin.f64 y))))
(.f64 (sqrt.f64 2) (.f64 -1/16 (*.f64 (sin.f64 y) (fma.f64 (sin.f64 x) -1/16 (sin.f64 y)))))
(.f64 (sin.f64 y) (.f64 (fma.f64 (sin.f64 x) -1/16 (sin.f64 y)) (*.f64 (sqrt.f64 2) -1/16)))
(.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x))) (sin.f64 y))))
(.f64 (.f64 -1/16 (sqrt.f64 2)) (.f64 (sin.f64 y) (+.f64 (sin.f64 y) (.f64 -1/16 (sin.f64 x)))))
(.f64 (sqrt.f64 2) (.f64 (.f64 (sin.f64 y) (+.f64 (sin.f64 y) (.f64 (sin.f64 x) -1/16))) -1/16))
(.f64 (sqrt.f64 2) (.f64 (fma.f64 (sin.f64 x) -1/16 (sin.f64 y)) (*.f64 -1/16 (sin.f64 y))))
(.f64 (sqrt.f64 2) (.f64 -1/16 (*.f64 (sin.f64 y) (fma.f64 (sin.f64 x) -1/16 (sin.f64 y)))))
(.f64 (sin.f64 y) (.f64 (fma.f64 (sin.f64 x) -1/16 (sin.f64 y)) (*.f64 (sqrt.f64 2) -1/16)))
(.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x))) (sin.f64 y))))
(.f64 (.f64 -1/16 (sqrt.f64 2)) (.f64 (sin.f64 y) (+.f64 (sin.f64 y) (.f64 -1/16 (sin.f64 x)))))
(.f64 (sqrt.f64 2) (.f64 (.f64 (sin.f64 y) (+.f64 (sin.f64 y) (.f64 (sin.f64 x) -1/16))) -1/16))
(.f64 (sqrt.f64 2) (.f64 (fma.f64 (sin.f64 x) -1/16 (sin.f64 y)) (*.f64 -1/16 (sin.f64 y))))
(.f64 (sqrt.f64 2) (.f64 -1/16 (*.f64 (sin.f64 y) (fma.f64 (sin.f64 x) -1/16 (sin.f64 y)))))
(.f64 (sin.f64 y) (.f64 (fma.f64 (sin.f64 x) -1/16 (sin.f64 y)) (*.f64 (sqrt.f64 2) -1/16)))
(.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x))) (sin.f64 y))))
(.f64 (.f64 -1/16 (sqrt.f64 2)) (.f64 (sin.f64 y) (+.f64 (sin.f64 y) (.f64 -1/16 (sin.f64 x)))))
(.f64 (sqrt.f64 2) (.f64 (.f64 (sin.f64 y) (+.f64 (sin.f64 y) (.f64 (sin.f64 x) -1/16))) -1/16))
(.f64 (sqrt.f64 2) (.f64 (fma.f64 (sin.f64 x) -1/16 (sin.f64 y)) (*.f64 -1/16 (sin.f64 y))))
(.f64 (sqrt.f64 2) (.f64 -1/16 (*.f64 (sin.f64 y) (fma.f64 (sin.f64 x) -1/16 (sin.f64 y)))))
(.f64 (sin.f64 y) (.f64 (fma.f64 (sin.f64 x) -1/16 (sin.f64 y)) (*.f64 (sqrt.f64 2) -1/16)))
(.f64 -1/16 (.f64 (sqrt.f64 2) (pow.f64 (sin.f64 y) 2)))
(.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 y) 2) -1/16))
(.f64 (sqrt.f64 2) (.f64 -1/16 (pow.f64 (sin.f64 y) 2)))
(+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) (pow.f64 (sin.f64 y) 2))) (.f64 1/256 (.f64 (sqrt.f64 2) (*.f64 (sin.f64 y) x))))
(fma.f64 -1/16 (.f64 (sqrt.f64 2) (pow.f64 (sin.f64 y) 2)) (.f64 1/256 (.f64 (.f64 (sqrt.f64 2) (sin.f64 y)) x)))
(fma.f64 1/256 (.f64 (.f64 (sqrt.f64 2) x) (sin.f64 y)) (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 y) 2) -1/16)))
(.f64 (sqrt.f64 2) (+.f64 (.f64 -1/16 (pow.f64 (sin.f64 y) 2)) (.f64 1/256 (.f64 x (sin.f64 y)))))
(.f64 (sqrt.f64 2) (.f64 (sin.f64 y) (+.f64 (.f64 1/256 x) (.f64 -1/16 (sin.f64 y)))))
(+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) (pow.f64 (sin.f64 y) 2))) (+.f64 (.f64 -1/1536 (.f64 (sqrt.f64 2) (.f64 (sin.f64 y) (pow.f64 x 3)))) (.f64 1/256 (.f64 (sqrt.f64 2) (.f64 (sin.f64 y) x)))))
(fma.f64 -1/16 (.f64 (sqrt.f64 2) (pow.f64 (sin.f64 y) 2)) (fma.f64 -1/1536 (.f64 (.f64 (sqrt.f64 2) (sin.f64 y)) (pow.f64 x 3)) (.f64 1/256 (.f64 (.f64 (sqrt.f64 2) (sin.f64 y)) x))))
(fma.f64 -1/16 (.f64 (sqrt.f64 2) (pow.f64 (sin.f64 y) 2)) (fma.f64 1/256 (.f64 (.f64 (sqrt.f64 2) x) (sin.f64 y)) (.f64 -1/1536 (.f64 (sqrt.f64 2) (.f64 (sin.f64 y) (pow.f64 x 3))))))
(fma.f64 (sqrt.f64 2) (.f64 -1/16 (pow.f64 (sin.f64 y) 2)) (.f64 (.f64 (sqrt.f64 2) (sin.f64 y)) (+.f64 (.f64 1/256 x) (*.f64 -1/1536 (pow.f64 x 3)))))
(.f64 (.f64 (sqrt.f64 2) (sin.f64 y)) (+.f64 (.f64 -1/16 (sin.f64 y)) (+.f64 (.f64 1/256 x) (*.f64 -1/1536 (pow.f64 x 3)))))
(+.f64 (.f64 1/30720 (.f64 (sqrt.f64 2) (.f64 (sin.f64 y) (pow.f64 x 5)))) (+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) (pow.f64 (sin.f64 y) 2))) (+.f64 (.f64 -1/1536 (.f64 (sqrt.f64 2) (.f64 (sin.f64 y) (pow.f64 x 3)))) (.f64 1/256 (.f64 (sqrt.f64 2) (*.f64 (sin.f64 y) x))))))
(fma.f64 1/30720 (.f64 (.f64 (sqrt.f64 2) (sin.f64 y)) (pow.f64 x 5)) (fma.f64 -1/16 (.f64 (sqrt.f64 2) (pow.f64 (sin.f64 y) 2)) (fma.f64 -1/1536 (.f64 (.f64 (sqrt.f64 2) (sin.f64 y)) (pow.f64 x 3)) (.f64 1/256 (.f64 (.f64 (sqrt.f64 2) (sin.f64 y)) x)))))
(fma.f64 1/30720 (.f64 (sqrt.f64 2) (.f64 (sin.f64 y) (pow.f64 x 5))) (fma.f64 -1/16 (.f64 (sqrt.f64 2) (pow.f64 (sin.f64 y) 2)) (fma.f64 1/256 (.f64 (.f64 (sqrt.f64 2) x) (sin.f64 y)) (.f64 -1/1536 (.f64 (sqrt.f64 2) (.f64 (sin.f64 y) (pow.f64 x 3)))))))
(+.f64 (.f64 (.f64 (sqrt.f64 2) (sin.f64 y)) (+.f64 (.f64 1/256 x) (.f64 -1/1536 (pow.f64 x 3)))) (.f64 (sqrt.f64 2) (+.f64 (.f64 -1/16 (pow.f64 (sin.f64 y) 2)) (.f64 (sin.f64 y) (.f64 1/30720 (pow.f64 x 5))))))
(.f64 (sqrt.f64 2) (+.f64 (.f64 (.f64 x (sin.f64 y)) (+.f64 1/256 (.f64 (.f64 x x) -1/1536))) (.f64 (sin.f64 y) (+.f64 (.f64 1/30720 (pow.f64 x 5)) (.f64 -1/16 (sin.f64 y))))))
(.f64 (sqrt.f64 2) (+.f64 (.f64 (sin.f64 y) (+.f64 (.f64 -1/1536 (pow.f64 x 3)) (.f64 -1/16 (sin.f64 y)))) (.f64 (sin.f64 y) (+.f64 (.f64 1/256 x) (*.f64 1/30720 (pow.f64 x 5))))))
(.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x))) (sin.f64 y))))
(.f64 (.f64 -1/16 (sqrt.f64 2)) (.f64 (sin.f64 y) (+.f64 (sin.f64 y) (.f64 -1/16 (sin.f64 x)))))
(.f64 (sqrt.f64 2) (.f64 (.f64 (sin.f64 y) (+.f64 (sin.f64 y) (.f64 (sin.f64 x) -1/16))) -1/16))
(.f64 (sqrt.f64 2) (.f64 (fma.f64 (sin.f64 x) -1/16 (sin.f64 y)) (*.f64 -1/16 (sin.f64 y))))
(.f64 (sqrt.f64 2) (.f64 -1/16 (*.f64 (sin.f64 y) (fma.f64 (sin.f64 x) -1/16 (sin.f64 y)))))
(.f64 (sin.f64 y) (.f64 (fma.f64 (sin.f64 x) -1/16 (sin.f64 y)) (*.f64 (sqrt.f64 2) -1/16)))
(.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x))) (sin.f64 y))))
(.f64 (.f64 -1/16 (sqrt.f64 2)) (.f64 (sin.f64 y) (+.f64 (sin.f64 y) (.f64 -1/16 (sin.f64 x)))))
(.f64 (sqrt.f64 2) (.f64 (.f64 (sin.f64 y) (+.f64 (sin.f64 y) (.f64 (sin.f64 x) -1/16))) -1/16))
(.f64 (sqrt.f64 2) (.f64 (fma.f64 (sin.f64 x) -1/16 (sin.f64 y)) (*.f64 -1/16 (sin.f64 y))))
(.f64 (sqrt.f64 2) (.f64 -1/16 (*.f64 (sin.f64 y) (fma.f64 (sin.f64 x) -1/16 (sin.f64 y)))))
(.f64 (sin.f64 y) (.f64 (fma.f64 (sin.f64 x) -1/16 (sin.f64 y)) (*.f64 (sqrt.f64 2) -1/16)))
(.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x))) (sin.f64 y))))
(.f64 (.f64 -1/16 (sqrt.f64 2)) (.f64 (sin.f64 y) (+.f64 (sin.f64 y) (.f64 -1/16 (sin.f64 x)))))
(.f64 (sqrt.f64 2) (.f64 (.f64 (sin.f64 y) (+.f64 (sin.f64 y) (.f64 (sin.f64 x) -1/16))) -1/16))
(.f64 (sqrt.f64 2) (.f64 (fma.f64 (sin.f64 x) -1/16 (sin.f64 y)) (*.f64 -1/16 (sin.f64 y))))
(.f64 (sqrt.f64 2) (.f64 -1/16 (*.f64 (sin.f64 y) (fma.f64 (sin.f64 x) -1/16 (sin.f64 y)))))
(.f64 (sin.f64 y) (.f64 (fma.f64 (sin.f64 x) -1/16 (sin.f64 y)) (*.f64 (sqrt.f64 2) -1/16)))
(.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x))) (sin.f64 y))))
(.f64 (.f64 -1/16 (sqrt.f64 2)) (.f64 (sin.f64 y) (+.f64 (sin.f64 y) (.f64 -1/16 (sin.f64 x)))))
(.f64 (sqrt.f64 2) (.f64 (.f64 (sin.f64 y) (+.f64 (sin.f64 y) (.f64 (sin.f64 x) -1/16))) -1/16))
(.f64 (sqrt.f64 2) (.f64 (fma.f64 (sin.f64 x) -1/16 (sin.f64 y)) (*.f64 -1/16 (sin.f64 y))))
(.f64 (sqrt.f64 2) (.f64 -1/16 (*.f64 (sin.f64 y) (fma.f64 (sin.f64 x) -1/16 (sin.f64 y)))))
(.f64 (sin.f64 y) (.f64 (fma.f64 (sin.f64 x) -1/16 (sin.f64 y)) (*.f64 (sqrt.f64 2) -1/16)))
(.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x))) (sin.f64 y))))
(.f64 (.f64 -1/16 (sqrt.f64 2)) (.f64 (sin.f64 y) (+.f64 (sin.f64 y) (.f64 -1/16 (sin.f64 x)))))
(.f64 (sqrt.f64 2) (.f64 (.f64 (sin.f64 y) (+.f64 (sin.f64 y) (.f64 (sin.f64 x) -1/16))) -1/16))
(.f64 (sqrt.f64 2) (.f64 (fma.f64 (sin.f64 x) -1/16 (sin.f64 y)) (*.f64 -1/16 (sin.f64 y))))
(.f64 (sqrt.f64 2) (.f64 -1/16 (*.f64 (sin.f64 y) (fma.f64 (sin.f64 x) -1/16 (sin.f64 y)))))
(.f64 (sin.f64 y) (.f64 (fma.f64 (sin.f64 x) -1/16 (sin.f64 y)) (*.f64 (sqrt.f64 2) -1/16)))
(.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x))) (sin.f64 y))))
(.f64 (.f64 -1/16 (sqrt.f64 2)) (.f64 (sin.f64 y) (+.f64 (sin.f64 y) (.f64 -1/16 (sin.f64 x)))))
(.f64 (sqrt.f64 2) (.f64 (.f64 (sin.f64 y) (+.f64 (sin.f64 y) (.f64 (sin.f64 x) -1/16))) -1/16))
(.f64 (sqrt.f64 2) (.f64 (fma.f64 (sin.f64 x) -1/16 (sin.f64 y)) (*.f64 -1/16 (sin.f64 y))))
(.f64 (sqrt.f64 2) (.f64 -1/16 (*.f64 (sin.f64 y) (fma.f64 (sin.f64 x) -1/16 (sin.f64 y)))))
(.f64 (sin.f64 y) (.f64 (fma.f64 (sin.f64 x) -1/16 (sin.f64 y)) (*.f64 (sqrt.f64 2) -1/16)))
(.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x))) (sin.f64 y))))
(.f64 (.f64 -1/16 (sqrt.f64 2)) (.f64 (sin.f64 y) (+.f64 (sin.f64 y) (.f64 -1/16 (sin.f64 x)))))
(.f64 (sqrt.f64 2) (.f64 (.f64 (sin.f64 y) (+.f64 (sin.f64 y) (.f64 (sin.f64 x) -1/16))) -1/16))
(.f64 (sqrt.f64 2) (.f64 (fma.f64 (sin.f64 x) -1/16 (sin.f64 y)) (*.f64 -1/16 (sin.f64 y))))
(.f64 (sqrt.f64 2) (.f64 -1/16 (*.f64 (sin.f64 y) (fma.f64 (sin.f64 x) -1/16 (sin.f64 y)))))
(.f64 (sin.f64 y) (.f64 (fma.f64 (sin.f64 x) -1/16 (sin.f64 y)) (*.f64 (sqrt.f64 2) -1/16)))
(.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x))) (sin.f64 y))))
(.f64 (.f64 -1/16 (sqrt.f64 2)) (.f64 (sin.f64 y) (+.f64 (sin.f64 y) (.f64 -1/16 (sin.f64 x)))))
(.f64 (sqrt.f64 2) (.f64 (.f64 (sin.f64 y) (+.f64 (sin.f64 y) (.f64 (sin.f64 x) -1/16))) -1/16))
(.f64 (sqrt.f64 2) (.f64 (fma.f64 (sin.f64 x) -1/16 (sin.f64 y)) (*.f64 -1/16 (sin.f64 y))))
(.f64 (sqrt.f64 2) (.f64 -1/16 (*.f64 (sin.f64 y) (fma.f64 (sin.f64 x) -1/16 (sin.f64 y)))))
(.f64 (sin.f64 y) (.f64 (fma.f64 (sin.f64 x) -1/16 (sin.f64 y)) (*.f64 (sqrt.f64 2) -1/16)))

localize103.0ms (0.5%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.1b	(+.f64 1 (log.f64 (exp.f64 (/.f64 (cos.f64 x) (fma.f64 1/2 (sqrt.f64 5) 1/2)))))
	0.1b	(*.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y))
	0.1b	(exp.f64 (/.f64 (cos.f64 x) (fma.f64 1/2 (sqrt.f64 5) 1/2)))
	0.0b	(cos.f64 x)
✓	0.4b	(log.f64 (exp.f64 (/.f64 (cos.f64 x) (fma.f64 1/2 (sqrt.f64 5) 1/2))))
✓	0.6b	(/.f64 (cos.f64 x) (fma.f64 1/2 (sqrt.f64 5) 1/2))
	1.0b	(-.f64 3 (sqrt.f64 5))
	2.6b	(-.f64 (cos.f64 x) (cos.f64 y))

Compiler

Compiled 227 to 169 computations (25.6% saved)

series3.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite47.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

854×	`pow1_binary64`
793×	`log1p-expm1-u_binary64`
793×	`expm1-log1p-u_binary64`
792×	`add-log-exp_binary64`
776×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	24
1	187	24
2	2116	24

Stop Event

1×	node limit

Counts

2 → 78

Calls

Call 1

Inputs
(/.f64 (cos.f64 x) (fma.f64 1/2 (sqrt.f64 5) 1/2))
(log.f64 (exp.f64 (/.f64 (cos.f64 x) (fma.f64 1/2 (sqrt.f64 5) 1/2))))

Outputs

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

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

simplify65.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

814×	`fma-def_binary64`
675×	`associate-*l/_binary64`
656×	`associate-/l/_binary64`
482×	`associate-*r/_binary64`
482×	`fma-neg_binary64`

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	31	548
1	66	468
2	140	464
3	395	444
4	1989	432
5	6417	428
6	7227	420
7	7841	420

Stop Event

1×	node limit

Counts

102 → 54

Calls

Call 1

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

Outputs
(/.f64 1 (+.f64 1/2 (*.f64 1/2 (sqrt.f64 5))))
(/.f64 1 (fma.f64 1/2 (sqrt.f64 5) 1/2))
(/.f64 2 (+.f64 1 (sqrt.f64 5)))
(+.f64 (/.f64 1 (+.f64 1/2 (.f64 1/2 (sqrt.f64 5)))) (.f64 -1/2 (/.f64 (pow.f64 x 2) (+.f64 1/2 (*.f64 1/2 (sqrt.f64 5))))))
(+.f64 (/.f64 1 (+.f64 1/2 (.f64 1/2 (sqrt.f64 5)))) (/.f64 (.f64 -1/2 (.f64 x x)) (+.f64 1/2 (.f64 1/2 (sqrt.f64 5)))))
(fma.f64 -1/2 (/.f64 x (/.f64 (fma.f64 1/2 (sqrt.f64 5) 1/2) x)) (/.f64 1 (fma.f64 1/2 (sqrt.f64 5) 1/2)))
(fma.f64 (/.f64 (*.f64 x x) (+.f64 1 (sqrt.f64 5))) -1 (/.f64 2 (+.f64 1 (sqrt.f64 5))))
(fma.f64 (*.f64 x x) (/.f64 -1 (+.f64 1 (sqrt.f64 5))) (/.f64 2 (+.f64 1 (sqrt.f64 5))))
(-.f64 (/.f64 2 (+.f64 1 (sqrt.f64 5))) (/.f64 x (/.f64 (+.f64 1 (sqrt.f64 5)) x)))
(+.f64 (.f64 1/24 (/.f64 (pow.f64 x 4) (+.f64 1/2 (.f64 1/2 (sqrt.f64 5))))) (+.f64 (/.f64 1 (+.f64 1/2 (.f64 1/2 (sqrt.f64 5)))) (.f64 -1/2 (/.f64 (pow.f64 x 2) (+.f64 1/2 (*.f64 1/2 (sqrt.f64 5)))))))
(fma.f64 1/24 (/.f64 (pow.f64 x 4) (+.f64 1/2 (.f64 1/2 (sqrt.f64 5)))) (+.f64 (/.f64 1 (+.f64 1/2 (.f64 1/2 (sqrt.f64 5)))) (/.f64 (.f64 -1/2 (.f64 x x)) (+.f64 1/2 (*.f64 1/2 (sqrt.f64 5))))))
(fma.f64 1/24 (/.f64 (pow.f64 x 4) (fma.f64 1/2 (sqrt.f64 5) 1/2)) (fma.f64 -1/2 (/.f64 x (/.f64 (fma.f64 1/2 (sqrt.f64 5) 1/2) x)) (/.f64 1 (fma.f64 1/2 (sqrt.f64 5) 1/2))))
(fma.f64 (/.f64 (*.f64 x x) (+.f64 1 (sqrt.f64 5))) -1 (fma.f64 (/.f64 (pow.f64 x 4) (+.f64 1 (sqrt.f64 5))) 1/12 (/.f64 2 (+.f64 1 (sqrt.f64 5)))))
(+.f64 (/.f64 2 (+.f64 1 (sqrt.f64 5))) (.f64 (.f64 x (/.f64 x (fma.f64 1/2 (sqrt.f64 5) 1/2))) (+.f64 -1/2 (.f64 x (.f64 x 1/24)))))
(+.f64 (/.f64 2 (+.f64 1 (sqrt.f64 5))) (.f64 (/.f64 x (+.f64 1 (sqrt.f64 5))) (-.f64 (.f64 1/24 (/.f64 (pow.f64 x 3) 1/2)) x)))
(+.f64 (.f64 1/24 (/.f64 (pow.f64 x 4) (+.f64 1/2 (.f64 1/2 (sqrt.f64 5))))) (+.f64 (/.f64 1 (+.f64 1/2 (.f64 1/2 (sqrt.f64 5)))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 1/2 (sqrt.f64 5))))) (.f64 -1/720 (/.f64 (pow.f64 x 6) (+.f64 1/2 (*.f64 1/2 (sqrt.f64 5))))))))
(fma.f64 1/24 (/.f64 (pow.f64 x 4) (+.f64 1/2 (.f64 1/2 (sqrt.f64 5)))) (+.f64 (/.f64 1 (+.f64 1/2 (.f64 1/2 (sqrt.f64 5)))) (fma.f64 -1/2 (/.f64 (.f64 x x) (+.f64 1/2 (.f64 1/2 (sqrt.f64 5)))) (/.f64 (.f64 -1/720 (pow.f64 x 6)) (+.f64 1/2 (.f64 1/2 (sqrt.f64 5)))))))
(+.f64 (fma.f64 -1/2 (/.f64 x (/.f64 (fma.f64 1/2 (sqrt.f64 5) 1/2) x)) (/.f64 -1/720 (/.f64 (fma.f64 1/2 (sqrt.f64 5) 1/2) (pow.f64 x 6)))) (fma.f64 1/24 (/.f64 (pow.f64 x 4) (fma.f64 1/2 (sqrt.f64 5) 1/2)) (/.f64 1 (fma.f64 1/2 (sqrt.f64 5) 1/2))))
(fma.f64 1/24 (/.f64 (pow.f64 x 4) (fma.f64 1/2 (sqrt.f64 5) 1/2)) (fma.f64 -1/2 (/.f64 x (/.f64 (fma.f64 1/2 (sqrt.f64 5) 1/2) x)) (fma.f64 -1/720 (/.f64 (pow.f64 x 6) (fma.f64 1/2 (sqrt.f64 5) 1/2)) (/.f64 1 (fma.f64 1/2 (sqrt.f64 5) 1/2)))))
(fma.f64 (/.f64 (*.f64 x x) (+.f64 1 (sqrt.f64 5))) -1 (fma.f64 (/.f64 (pow.f64 x 6) (+.f64 1 (sqrt.f64 5))) -1/360 (fma.f64 (/.f64 (pow.f64 x 4) (+.f64 1 (sqrt.f64 5))) 1/12 (/.f64 2 (+.f64 1 (sqrt.f64 5))))))
(+.f64 (/.f64 2 (+.f64 1 (sqrt.f64 5))) (fma.f64 (pow.f64 x 6) (/.f64 -1/360 (+.f64 1 (sqrt.f64 5))) (.f64 (.f64 x (/.f64 x (fma.f64 1/2 (sqrt.f64 5) 1/2))) (+.f64 -1/2 (.f64 x (.f64 x 1/24))))))
(+.f64 (/.f64 2 (+.f64 1 (sqrt.f64 5))) (.f64 (/.f64 x (/.f64 (+.f64 1 (sqrt.f64 5)) x)) (+.f64 (+.f64 -1 (/.f64 (.f64 (pow.f64 x 4) -1/720) 1/2)) (.f64 1/24 (.f64 x (/.f64 x 1/2))))))
(+.f64 (/.f64 2 (+.f64 1 (sqrt.f64 5))) (.f64 (/.f64 x (+.f64 1 (sqrt.f64 5))) (-.f64 (+.f64 (/.f64 (.f64 -1/720 (pow.f64 x 5)) 1/2) (*.f64 1/24 (/.f64 (pow.f64 x 3) 1/2))) x)))
(/.f64 (cos.f64 x) (+.f64 1/2 (*.f64 1/2 (sqrt.f64 5))))
(/.f64 (cos.f64 x) (fma.f64 1/2 (sqrt.f64 5) 1/2))
(/.f64 (cos.f64 x) (+.f64 1/2 (*.f64 1/2 (sqrt.f64 5))))
(/.f64 (cos.f64 x) (fma.f64 1/2 (sqrt.f64 5) 1/2))
(/.f64 (cos.f64 x) (+.f64 1/2 (*.f64 1/2 (sqrt.f64 5))))
(/.f64 (cos.f64 x) (fma.f64 1/2 (sqrt.f64 5) 1/2))
(/.f64 (cos.f64 x) (+.f64 1/2 (*.f64 1/2 (sqrt.f64 5))))
(/.f64 (cos.f64 x) (fma.f64 1/2 (sqrt.f64 5) 1/2))
(/.f64 (cos.f64 x) (+.f64 1/2 (*.f64 1/2 (sqrt.f64 5))))
(/.f64 (cos.f64 x) (fma.f64 1/2 (sqrt.f64 5) 1/2))
(/.f64 (cos.f64 x) (+.f64 1/2 (*.f64 1/2 (sqrt.f64 5))))
(/.f64 (cos.f64 x) (fma.f64 1/2 (sqrt.f64 5) 1/2))
(/.f64 (cos.f64 x) (+.f64 1/2 (*.f64 1/2 (sqrt.f64 5))))
(/.f64 (cos.f64 x) (fma.f64 1/2 (sqrt.f64 5) 1/2))
(/.f64 (cos.f64 x) (+.f64 1/2 (*.f64 1/2 (sqrt.f64 5))))
(/.f64 (cos.f64 x) (fma.f64 1/2 (sqrt.f64 5) 1/2))
(/.f64 1 (+.f64 1/2 (*.f64 1/2 (sqrt.f64 5))))
(/.f64 1 (fma.f64 1/2 (sqrt.f64 5) 1/2))
(/.f64 2 (+.f64 1 (sqrt.f64 5)))
(+.f64 (/.f64 1 (+.f64 1/2 (.f64 1/2 (sqrt.f64 5)))) (.f64 -1/2 (/.f64 (pow.f64 x 2) (+.f64 1/2 (*.f64 1/2 (sqrt.f64 5))))))
(+.f64 (/.f64 1 (+.f64 1/2 (.f64 1/2 (sqrt.f64 5)))) (/.f64 (.f64 -1/2 (.f64 x x)) (+.f64 1/2 (.f64 1/2 (sqrt.f64 5)))))
(fma.f64 -1/2 (/.f64 x (/.f64 (fma.f64 1/2 (sqrt.f64 5) 1/2) x)) (/.f64 1 (fma.f64 1/2 (sqrt.f64 5) 1/2)))
(fma.f64 (/.f64 (*.f64 x x) (+.f64 1 (sqrt.f64 5))) -1 (/.f64 2 (+.f64 1 (sqrt.f64 5))))
(fma.f64 (*.f64 x x) (/.f64 -1 (+.f64 1 (sqrt.f64 5))) (/.f64 2 (+.f64 1 (sqrt.f64 5))))
(-.f64 (/.f64 2 (+.f64 1 (sqrt.f64 5))) (/.f64 x (/.f64 (+.f64 1 (sqrt.f64 5)) x)))
(+.f64 (.f64 1/24 (/.f64 (pow.f64 x 4) (+.f64 1/2 (.f64 1/2 (sqrt.f64 5))))) (+.f64 (/.f64 1 (+.f64 1/2 (.f64 1/2 (sqrt.f64 5)))) (.f64 -1/2 (/.f64 (pow.f64 x 2) (+.f64 1/2 (*.f64 1/2 (sqrt.f64 5)))))))
(fma.f64 1/24 (/.f64 (pow.f64 x 4) (+.f64 1/2 (.f64 1/2 (sqrt.f64 5)))) (+.f64 (/.f64 1 (+.f64 1/2 (.f64 1/2 (sqrt.f64 5)))) (/.f64 (.f64 -1/2 (.f64 x x)) (+.f64 1/2 (*.f64 1/2 (sqrt.f64 5))))))
(fma.f64 1/24 (/.f64 (pow.f64 x 4) (fma.f64 1/2 (sqrt.f64 5) 1/2)) (fma.f64 -1/2 (/.f64 x (/.f64 (fma.f64 1/2 (sqrt.f64 5) 1/2) x)) (/.f64 1 (fma.f64 1/2 (sqrt.f64 5) 1/2))))
(fma.f64 (/.f64 (*.f64 x x) (+.f64 1 (sqrt.f64 5))) -1 (fma.f64 (/.f64 (pow.f64 x 4) (+.f64 1 (sqrt.f64 5))) 1/12 (/.f64 2 (+.f64 1 (sqrt.f64 5)))))
(+.f64 (/.f64 2 (+.f64 1 (sqrt.f64 5))) (.f64 (.f64 x (/.f64 x (fma.f64 1/2 (sqrt.f64 5) 1/2))) (+.f64 -1/2 (.f64 x (.f64 x 1/24)))))
(+.f64 (/.f64 2 (+.f64 1 (sqrt.f64 5))) (.f64 (/.f64 x (+.f64 1 (sqrt.f64 5))) (-.f64 (.f64 1/24 (/.f64 (pow.f64 x 3) 1/2)) x)))
(+.f64 (.f64 1/24 (/.f64 (pow.f64 x 4) (+.f64 1/2 (.f64 1/2 (sqrt.f64 5))))) (+.f64 (/.f64 1 (+.f64 1/2 (.f64 1/2 (sqrt.f64 5)))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 1/2 (sqrt.f64 5))))) (.f64 -1/720 (/.f64 (pow.f64 x 6) (+.f64 1/2 (*.f64 1/2 (sqrt.f64 5))))))))
(fma.f64 1/24 (/.f64 (pow.f64 x 4) (+.f64 1/2 (.f64 1/2 (sqrt.f64 5)))) (+.f64 (/.f64 1 (+.f64 1/2 (.f64 1/2 (sqrt.f64 5)))) (fma.f64 -1/2 (/.f64 (.f64 x x) (+.f64 1/2 (.f64 1/2 (sqrt.f64 5)))) (/.f64 (.f64 -1/720 (pow.f64 x 6)) (+.f64 1/2 (.f64 1/2 (sqrt.f64 5)))))))
(+.f64 (fma.f64 -1/2 (/.f64 x (/.f64 (fma.f64 1/2 (sqrt.f64 5) 1/2) x)) (/.f64 -1/720 (/.f64 (fma.f64 1/2 (sqrt.f64 5) 1/2) (pow.f64 x 6)))) (fma.f64 1/24 (/.f64 (pow.f64 x 4) (fma.f64 1/2 (sqrt.f64 5) 1/2)) (/.f64 1 (fma.f64 1/2 (sqrt.f64 5) 1/2))))
(fma.f64 1/24 (/.f64 (pow.f64 x 4) (fma.f64 1/2 (sqrt.f64 5) 1/2)) (fma.f64 -1/2 (/.f64 x (/.f64 (fma.f64 1/2 (sqrt.f64 5) 1/2) x)) (fma.f64 -1/720 (/.f64 (pow.f64 x 6) (fma.f64 1/2 (sqrt.f64 5) 1/2)) (/.f64 1 (fma.f64 1/2 (sqrt.f64 5) 1/2)))))
(fma.f64 (/.f64 (*.f64 x x) (+.f64 1 (sqrt.f64 5))) -1 (fma.f64 (/.f64 (pow.f64 x 6) (+.f64 1 (sqrt.f64 5))) -1/360 (fma.f64 (/.f64 (pow.f64 x 4) (+.f64 1 (sqrt.f64 5))) 1/12 (/.f64 2 (+.f64 1 (sqrt.f64 5))))))
(+.f64 (/.f64 2 (+.f64 1 (sqrt.f64 5))) (fma.f64 (pow.f64 x 6) (/.f64 -1/360 (+.f64 1 (sqrt.f64 5))) (.f64 (.f64 x (/.f64 x (fma.f64 1/2 (sqrt.f64 5) 1/2))) (+.f64 -1/2 (.f64 x (.f64 x 1/24))))))
(+.f64 (/.f64 2 (+.f64 1 (sqrt.f64 5))) (.f64 (/.f64 x (/.f64 (+.f64 1 (sqrt.f64 5)) x)) (+.f64 (+.f64 -1 (/.f64 (.f64 (pow.f64 x 4) -1/720) 1/2)) (.f64 1/24 (.f64 x (/.f64 x 1/2))))))
(+.f64 (/.f64 2 (+.f64 1 (sqrt.f64 5))) (.f64 (/.f64 x (+.f64 1 (sqrt.f64 5))) (-.f64 (+.f64 (/.f64 (.f64 -1/720 (pow.f64 x 5)) 1/2) (*.f64 1/24 (/.f64 (pow.f64 x 3) 1/2))) x)))
(/.f64 (cos.f64 x) (+.f64 1/2 (*.f64 1/2 (sqrt.f64 5))))
(/.f64 (cos.f64 x) (fma.f64 1/2 (sqrt.f64 5) 1/2))
(/.f64 (cos.f64 x) (+.f64 1/2 (*.f64 1/2 (sqrt.f64 5))))
(/.f64 (cos.f64 x) (fma.f64 1/2 (sqrt.f64 5) 1/2))
(/.f64 (cos.f64 x) (+.f64 1/2 (*.f64 1/2 (sqrt.f64 5))))
(/.f64 (cos.f64 x) (fma.f64 1/2 (sqrt.f64 5) 1/2))
(/.f64 (cos.f64 x) (+.f64 1/2 (*.f64 1/2 (sqrt.f64 5))))
(/.f64 (cos.f64 x) (fma.f64 1/2 (sqrt.f64 5) 1/2))
(/.f64 (cos.f64 x) (+.f64 1/2 (*.f64 1/2 (sqrt.f64 5))))
(/.f64 (cos.f64 x) (fma.f64 1/2 (sqrt.f64 5) 1/2))
(/.f64 (cos.f64 x) (+.f64 1/2 (*.f64 1/2 (sqrt.f64 5))))
(/.f64 (cos.f64 x) (fma.f64 1/2 (sqrt.f64 5) 1/2))
(/.f64 (cos.f64 x) (+.f64 1/2 (*.f64 1/2 (sqrt.f64 5))))
(/.f64 (cos.f64 x) (fma.f64 1/2 (sqrt.f64 5) 1/2))
(/.f64 (cos.f64 x) (+.f64 1/2 (*.f64 1/2 (sqrt.f64 5))))
(/.f64 (cos.f64 x) (fma.f64 1/2 (sqrt.f64 5) 1/2))

eval651.0ms (3.1%)

Compiler: Compiled 36080 to 26950 computations (25.3% saved)

prune173.0ms (0.8%)

Pruning

68 alts after pruning (61 fresh and 7 done)

	Pruned	Kept	Total
New	703	11	714
Fresh	3	50	53
Picked	1	0	1
Done	1	7	8
Total	708	68	776

Error

0.0b

Counts

776 → 68

Alt Table

Click to see full alt table

Status	Error	Program
	22.3b	(/.f64 (+.f64 2 (.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))) (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x))))) (+.f64 (cos.f64 x) -1))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
	33.2b	(/.f64 (+.f64 2 (.f64 (sqrt.f64 (.f64 2 (.f64 (pow.f64 (sin.f64 x) 4) 1/256))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (/.f64 (cos.f64 x) (.f64 1/2 (+.f64 (sqrt.f64 5) 1)))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
✓	32.9b	(/.f64 (+.f64 2 (.f64 (.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) (sin.f64 y))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (+.f64 (cos.f64 x) -1))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (*.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
	0.3b	(/.f64 (+.f64 (.f64 (sqrt.f64 2) (.f64 (log.f64 (exp.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 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4)))) (.f64 3/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))))))
	41.8b	(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 1/2 (pow.f64 y 4))))) (+.f64 (.f64 3/2 (-.f64 (sqrt.f64 5) 1)) (+.f64 3 (.f64 9 (+.f64 (/.f64 1 (+.f64 9/2 (sqrt.f64 45/4))) (.f64 (.f64 y (/.f64 y (+.f64 9/2 (sqrt.f64 45/4)))) (+.f64 -1/2 (.f64 (*.f64 y y) 1/24))))))))
	0.5b	(expm1.f64 (log1p.f64 (/.f64 (fma.f64 (sqrt.f64 2) (.f64 (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)) (.f64 (fma.f64 (sin.f64 x) -1/16 (sin.f64 y)) (-.f64 (cos.f64 x) (cos.f64 y)))) 2) (fma.f64 (cos.f64 x) (*.f64 (+.f64 (sqrt.f64 5) -1) 3/2) (fma.f64 (cos.f64 y) (/.f64 9 (+.f64 9/2 (sqrt.f64 45/4))) 3)))))
	0.3b	(/.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 (fma.f64 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4))) (.f64 (cos.f64 x) (*.f64 (+.f64 (sqrt.f64 5) -1) 3/2)))))
	41.7b	(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (+.f64 (.f64 1/2 (pow.f64 y 4)) (.f64 (pow.f64 y 6) -5/24))))) (+.f64 (.f64 3/2 (-.f64 (sqrt.f64 5) 1)) (+.f64 3 (.f64 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4)))))))
	36.0b	(/.f64 (+.f64 2 (.f64 (.f64 1/256 (.f64 (sqrt.f64 2) (.f64 y (sin.f64 x)))) (+.f64 (cos.f64 x) -1))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (*.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
	22.2b	(/.f64 (+.f64 2 (.f64 (.f64 (sqrt.f64 2) (.f64 -1/16 (pow.f64 (sin.f64 x) 2))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (cos.f64 x) (/.f64 2 (+.f64 (sqrt.f64 5) 1)))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
✓	22.2b	(/.f64 (+.f64 2 (.f64 (.f64 (sqrt.f64 2) (.f64 -1/16 (pow.f64 (sin.f64 x) 2))) (-.f64 (cos.f64 x) 1))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
	29.5b	(/.f64 (+.f64 2 (.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 (sin.f64 x) (+.f64 (.f64 y 257/256) (.f64 -1/16 (sin.f64 x)))) (.f64 y (.f64 -1/16 y)))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
	0.4b	(.f64 (fma.f64 (sqrt.f64 2) (.f64 (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)) (.f64 (fma.f64 (sin.f64 x) -1/16 (sin.f64 y)) (-.f64 (cos.f64 x) (cos.f64 y)))) 2) (/.f64 1 (fma.f64 (cos.f64 x) (.f64 (+.f64 (sqrt.f64 5) -1) 3/2) (fma.f64 (cos.f64 y) (/.f64 9 (+.f64 9/2 (sqrt.f64 45/4))) 3))))
	23.1b	(/.f64 (+.f64 2 (.f64 (.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) (sin.f64 y))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 1 (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (*.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
	24.9b	(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2))))) (+.f64 (/.f64 6 (+.f64 1 (sqrt.f64 5))) (+.f64 3 (.f64 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4)))))))
✓	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)))))
	41.7b	(/.f64 (+.f64 2 (sqrt.f64 (.f64 1/256 (.f64 2 (.f64 (pow.f64 y 8) 1/4))))) (+.f64 (.f64 3/2 (-.f64 (sqrt.f64 5) 1)) (+.f64 3 (*.f64 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4)))))))
	41.9b	(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 1/2 (pow.f64 y 4))))) (+.f64 (.f64 3/2 (-.f64 (sqrt.f64 5) 1)) (+.f64 3 (*.f64 9 (/.f64 1 (+.f64 9/2 (sqrt.f64 45/4)))))))
	24.9b	(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2))))) (+.f64 (expm1.f64 (log1p.f64 (fma.f64 3/2 (sqrt.f64 5) -3/2))) (+.f64 3 (.f64 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4)))))))
	24.7b	(/.f64 (+.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x)) (+.f64 (.f64 -1/16 (sin.f64 x)) (sin.f64 y))))) 2) (+.f64 3 (+.f64 (.f64 3/2 (-.f64 (sqrt.f64 5) 1)) (*.f64 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4)))))))
	24.8b	(/.f64 (+.f64 2 (.f64 (.f64 (-.f64 (exp.f64 (log1p.f64 (.f64 (sqrt.f64 2) (+.f64 (sin.f64 x) (.f64 (sin.f64 y) -1/16))))) 1) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 1 (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (*.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
	24.9b	(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (-.f64 1/2 (.f64 1/2 (cos.f64 (+.f64 y y)))))))) (+.f64 (.f64 3/2 (-.f64 (sqrt.f64 5) 1)) (+.f64 3 (.f64 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4)))))))
	23.0b	(/.f64 (+.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 -1/16 (pow.f64 (sin.f64 y) 2)))) 2) (+.f64 3 (+.f64 (.f64 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4)))) (.f64 3/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))))))
	25.3b	(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (sin.f64 x)) (+.f64 (.f64 -1/16 (sin.f64 x)) (.f64 y 257/256))) (+.f64 (cos.f64 x) -1))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
	22.2b	(/.f64 (+.f64 2 (.f64 (.f64 (sqrt.f64 2) (.f64 -1/16 (pow.f64 (sin.f64 x) 2))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (/.f64 (cos.f64 x) (.f64 1/2 (+.f64 (sqrt.f64 5) 1)))) (.f64 (/.f64 (/.f64 4 (+.f64 3 (sqrt.f64 5))) 2) (cos.f64 y)))))
	22.2b	(/.f64 (+.f64 (.f64 (sqrt.f64 2) (.f64 (+.f64 (cos.f64 x) -1) (.f64 (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x)) (+.f64 (.f64 -1/16 (sin.f64 x)) (sin.f64 y))))) 2) (+.f64 3 (+.f64 (.f64 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4)))) (.f64 3/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))))))
	0.4b	(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (pow.f64 (cbrt.f64 (-.f64 (cos.f64 x) (cos.f64 y))) 3))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
	0.4b	(/.f64 (+.f64 2 (.f64 (log.f64 (+.f64 1 (expm1.f64 (.f64 (sqrt.f64 2) (.f64 (+.f64 (sin.f64 x) (.f64 (sin.f64 y) -1/16)) (+.f64 (sin.f64 y) (.f64 (sin.f64 x) -1/16))))))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (log.f64 (exp.f64 (-.f64 3 (sqrt.f64 5)))) 2) (cos.f64 y)))))
	41.8b	(/.f64 (+.f64 2 (.f64 (sqrt.f64 2) (.f64 -1/32 (pow.f64 y 4)))) (+.f64 (.f64 3/2 (-.f64 (sqrt.f64 5) 1)) (+.f64 3 (.f64 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4)))))))
	33.3b	(/.f64 (+.f64 2 (.f64 (sqrt.f64 (.f64 2 (.f64 (pow.f64 (sin.f64 x) 4) 1/256))) (-.f64 (cos.f64 x) 1))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
	33.0b	(/.f64 (+.f64 2 (.f64 (.f64 (sqrt.f64 2) (.f64 -1/16 (pow.f64 (sin.f64 x) 2))) (-.f64 1 (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (/.f64 (cos.f64 x) (.f64 1/2 (+.f64 (sqrt.f64 5) 1)))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
	22.2b	(/.f64 (+.f64 2 (.f64 (.f64 (sqrt.f64 2) (.f64 -1/16 (pow.f64 (sin.f64 x) 2))) (.f64 (.f64 -2 (sin.f64 (.f64 (-.f64 x y) 1/2))) (sin.f64 (.f64 (+.f64 x y) 1/2))))) (.f64 3 (+.f64 (+.f64 1 (/.f64 (cos.f64 x) (.f64 1/2 (+.f64 (sqrt.f64 5) 1)))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
	32.9b	(/.f64 (+.f64 2 (.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) (pow.f64 (sin.f64 y) 2))) (+.f64 (cos.f64 x) -1))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
	22.3b	(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (sin.f64 x)) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (+.f64 (cos.f64 x) -1))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
	0.6b	(log.f64 (exp.f64 (/.f64 (fma.f64 (sqrt.f64 2) (.f64 (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)) (.f64 (fma.f64 (sin.f64 x) -1/16 (sin.f64 y)) (-.f64 (cos.f64 x) (cos.f64 y)))) 2) (fma.f64 (cos.f64 x) (*.f64 (+.f64 (sqrt.f64 5) -1) 3/2) (fma.f64 (cos.f64 y) (/.f64 9 (+.f64 9/2 (sqrt.f64 45/4))) 3)))))
	33.0b	(/.f64 (+.f64 2 (.f64 (.f64 (sqrt.f64 2) (.f64 -1/16 (pow.f64 (sin.f64 x) 2))) (-.f64 1 (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
	24.9b	(/.f64 (+.f64 2 (.f64 -1/16 (pow.f64 (.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 y)) (sqrt.f64 2))) (sin.f64 y)) 2))) (+.f64 (.f64 3/2 (-.f64 (sqrt.f64 5) 1)) (+.f64 3 (*.f64 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4)))))))
	33.2b	(/.f64 (+.f64 2 (.f64 (sqrt.f64 (.f64 2 (.f64 (pow.f64 (sin.f64 x) 4) 1/256))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
	0.4b	(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (/.f64 4 (+.f64 3 (sqrt.f64 5))) 2) (cos.f64 y)))))
	0.4b	(/.f64 (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 (sqrt.f64 45/4)) 3)))
✓	0.3b	(/.f64 (+.f64 (.f64 (sqrt.f64 2) (.f64 (fma.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cbrt.f64 (cos.f64 x)) (neg.f64 (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 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4)))) (.f64 3/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))))))
	34.8b	(/.f64 (+.f64 2 (.f64 (.f64 (sqrt.f64 2) (.f64 -1/16 (pow.f64 (sin.f64 x) 2))) (-.f64 (cos.f64 x) 1))) (.f64 3 (+.f64 (+.f64 1 (.f64 1/2 (-.f64 (sqrt.f64 5) 1))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
✓	23.1b	(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 1 (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
	26.8b	(/.f64 (+.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (sin.f64 x) (+.f64 (.f64 -1/16 (sin.f64 x)) (.f64 y 257/256))))) 2) (+.f64 3 (+.f64 (.f64 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4)))) (.f64 3/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))))))
	25.3b	(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (+.f64 (sin.f64 x) (.f64 y -1/16))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (+.f64 (cos.f64 x) -1))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (*.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
	41.9b	(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 1/2 (pow.f64 y 4))))) (+.f64 (.f64 3/2 (-.f64 (sqrt.f64 5) 1)) (+.f64 3 (*.f64 9 (pow.f64 (sqrt.f64 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4)))) 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 (+.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 (fma.f64 (sin.f64 x) -1/16 (sin.f64 y)) (-.f64 (cos.f64 x) (cos.f64 y)))) 2)) -1)
	24.9b	(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (.f64 (.f64 (sin.f64 y) (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (cbrt.f64 (sin.f64 y))))))) (+.f64 (.f64 3/2 (-.f64 (sqrt.f64 5) 1)) (+.f64 3 (*.f64 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4)))))))
	42.1b	(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 1/2 (pow.f64 y 4))))) (+.f64 (.f64 3/2 (-.f64 (sqrt.f64 5) 1)) (+.f64 3 (*.f64 9 (pow.f64 (cbrt.f64 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4)))) 3)))))
	41.7b	(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (.f64 1/2 (.f64 y y)) (pow.f64 (sin.f64 y) 2))))) (+.f64 (.f64 3/2 (-.f64 (sqrt.f64 5) 1)) (+.f64 3 (*.f64 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4)))))))
	41.7b	(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (.f64 y y))))) (+.f64 (.f64 3/2 (-.f64 (sqrt.f64 5) 1)) (+.f64 3 (.f64 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4)))))))
	23.4b	(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (+.f64 3 (+.f64 (.f64 9 (/.f64 1 (+.f64 9/2 (sqrt.f64 45/4)))) (.f64 3/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))))))
	23.1b	(/.f64 (+.f64 2 (.f64 (.f64 (pow.f64 (sin.f64 y) 2) (.f64 -1/16 (sqrt.f64 2))) (-.f64 1 (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
	33.1b	(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (sin.f64 x)) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 1 (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
	28.7b	(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (+.f64 (sin.f64 x) (.f64 y -1/16))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (*.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
	0.4b	(/.f64 (+.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x)) (+.f64 (.f64 -1/16 (sin.f64 x)) (sin.f64 y))))) 2) (+.f64 3 (+.f64 (.f64 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4)))) (pow.f64 (cbrt.f64 (.f64 (cos.f64 x) (.f64 (+.f64 (sqrt.f64 5) -1) 3/2))) 3))))
	22.1b	(/.f64 (+.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 -1/16 (pow.f64 (sin.f64 x) 2)))) 2) (+.f64 3 (+.f64 (.f64 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4)))) (.f64 3/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))))))
	0.3b	(/.f64 (+.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (cbrt.f64 (-.f64 (cos.f64 x) (cos.f64 y))) 3) (.f64 (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x)) (+.f64 (.f64 -1/16 (sin.f64 x)) (sin.f64 y))))) 2) (+.f64 3 (+.f64 (.f64 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4)))) (.f64 3/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))))))
	22.2b	(/.f64 (+.f64 2 (.f64 (.f64 (sqrt.f64 2) (.f64 -1/16 (pow.f64 (sin.f64 x) 2))) (-.f64 (cos.f64 x) 1))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (/.f64 4 (+.f64 3 (sqrt.f64 5))) 2) (cos.f64 y)))))
	24.9b	(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 y))) 3) (pow.f64 (sin.f64 y) 2))))) (+.f64 (.f64 3/2 (-.f64 (sqrt.f64 5) 1)) (+.f64 3 (*.f64 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4)))))))
✓	0.3b	(/.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 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4)))) (.f64 3/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))))))
✓	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 (log.f64 (exp.f64 (-.f64 3 (sqrt.f64 5)))) 2) (cos.f64 y)))))
	23.1b	(/.f64 (+.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (.f64 (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x)) (+.f64 (.f64 -1/16 (sin.f64 x)) (sin.f64 y))))) 2) (+.f64 3 (+.f64 (.f64 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4)))) (.f64 3/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))))))
	26.1b	(/.f64 (+.f64 2 (.f64 (.f64 (sqrt.f64 2) (.f64 (sin.f64 y) (+.f64 (.f64 x 257/256) (.f64 -1/16 (sin.f64 y))))) (-.f64 1 (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
	22.2b	(/.f64 (+.f64 2 (.f64 (.f64 (sqrt.f64 2) (.f64 -1/16 (pow.f64 (sin.f64 x) 2))) (-.f64 (cos.f64 x) 1))) (.f64 3 (+.f64 (+.f64 1 (log.f64 (exp.f64 (/.f64 (cos.f64 x) (fma.f64 1/2 (sqrt.f64 5) 1/2))))) (*.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
	11.5b	(/.f64 (+.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x)) (+.f64 (.f64 -1/16 (sin.f64 x)) (sin.f64 y))))) 2) (+.f64 3 (pow.f64 (sqrt.f64 (fma.f64 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4))) (.f64 (cos.f64 x) (*.f64 (+.f64 (sqrt.f64 5) -1) 3/2)))) 2)))
	22.2b	(/.f64 (+.f64 2 (.f64 (.f64 (sqrt.f64 2) (.f64 -1/16 (pow.f64 (sin.f64 x) 2))) (-.f64 (cos.f64 x) 1))) (.f64 3 (+.f64 (+.f64 1 (/.f64 (cos.f64 x) (.f64 1/2 (+.f64 (sqrt.f64 5) 1)))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
	21.1b	(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (sin.f64 x)) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))

Compiler

Compiled 3083 to 2553 computations (17.2% saved)

regimes186.0ms (0.9%)

Counts

68 → 1

Calls

Call 1

Inputs
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 1/2 (pow.f64 y 4))))) (+.f64 (.f64 3/2 (-.f64 (sqrt.f64 5) 1)) (+.f64 3 (*.f64 9 (/.f64 1 (+.f64 9/2 (sqrt.f64 45/4)))))))
(/.f64 (+.f64 2 (.f64 (sqrt.f64 2) (.f64 -1/32 (pow.f64 y 4)))) (+.f64 (.f64 3/2 (-.f64 (sqrt.f64 5) 1)) (+.f64 3 (.f64 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4)))))))
(/.f64 (+.f64 2 (sqrt.f64 (.f64 1/256 (.f64 2 (.f64 (pow.f64 y 8) 1/4))))) (+.f64 (.f64 3/2 (-.f64 (sqrt.f64 5) 1)) (+.f64 3 (*.f64 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4)))))))
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(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (pow.f64 (cbrt.f64 (-.f64 (cos.f64 x) (cos.f64 y))) 3))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.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 (sqrt.f64 45/4)) 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 (pow.f64 (sqrt.f64 (fma.f64 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4))) (.f64 (cos.f64 x) (*.f64 (+.f64 (sqrt.f64 5) -1) 3/2)))) 2)))
(/.f64 (+.f64 2 (.f64 (log.f64 (+.f64 1 (expm1.f64 (.f64 (sqrt.f64 2) (.f64 (+.f64 (sin.f64 x) (.f64 (sin.f64 y) -1/16)) (+.f64 (sin.f64 y) (.f64 (sin.f64 x) -1/16))))))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (log.f64 (exp.f64 (-.f64 3 (sqrt.f64 5)))) 2) (cos.f64 y)))))
(.f64 (fma.f64 (sqrt.f64 2) (.f64 (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)) (.f64 (fma.f64 (sin.f64 x) -1/16 (sin.f64 y)) (-.f64 (cos.f64 x) (cos.f64 y)))) 2) (/.f64 1 (fma.f64 (cos.f64 x) (.f64 (+.f64 (sqrt.f64 5) -1) 3/2) (fma.f64 (cos.f64 y) (/.f64 9 (+.f64 9/2 (sqrt.f64 45/4))) 3))))
(/.f64 (+.f64 (.f64 (sqrt.f64 2) (.f64 (fma.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cbrt.f64 (cos.f64 x)) (neg.f64 (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 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4)))) (.f64 3/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))))))
(pow.f64 (/.f64 (fma.f64 (cos.f64 x) (.f64 (+.f64 (sqrt.f64 5) -1) 3/2) (fma.f64 (cos.f64 y) (/.f64 9 (+.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 (fma.f64 (sin.f64 x) -1/16 (sin.f64 y)) (-.f64 (cos.f64 x) (cos.f64 y)))) 2)) -1)
(log.f64 (exp.f64 (/.f64 (fma.f64 (sqrt.f64 2) (.f64 (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)) (.f64 (fma.f64 (sin.f64 x) -1/16 (sin.f64 y)) (-.f64 (cos.f64 x) (cos.f64 y)))) 2) (fma.f64 (cos.f64 x) (*.f64 (+.f64 (sqrt.f64 5) -1) 3/2) (fma.f64 (cos.f64 y) (/.f64 9 (+.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 (fma.f64 (sin.f64 x) -1/16 (sin.f64 y)) (-.f64 (cos.f64 x) (cos.f64 y)))) 2) (fma.f64 (cos.f64 x) (*.f64 (+.f64 (sqrt.f64 5) -1) 3/2) (fma.f64 (cos.f64 y) (/.f64 9 (+.f64 9/2 (sqrt.f64 45/4))) 3)))))

Outputs

(/.f64 (+.f64 (*.f64 (sqrt.f64 2) (*.f64 (fma.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cbrt.f64 (cos.f64 x)) (neg.f64 (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 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4)))) (*.f64 3/2 (*.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))))))

Calls

3 calls:

49.0ms

31.0ms

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

30.0ms

Results

Error	Segments	Branch
0.3b	1	`x`
0.3b	1	`y`
0.3b	1	`(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))`

Compiler

Compiled 3007 to 2231 computations (25.8% saved)

regimes184.0ms (0.9%)

Counts

64 → 1

Calls

Call 1

Inputs
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 1/2 (pow.f64 y 4))))) (+.f64 (.f64 3/2 (-.f64 (sqrt.f64 5) 1)) (+.f64 3 (*.f64 9 (/.f64 1 (+.f64 9/2 (sqrt.f64 45/4)))))))
(/.f64 (+.f64 2 (.f64 (sqrt.f64 2) (.f64 -1/32 (pow.f64 y 4)))) (+.f64 (.f64 3/2 (-.f64 (sqrt.f64 5) 1)) (+.f64 3 (.f64 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4)))))))
(/.f64 (+.f64 2 (sqrt.f64 (.f64 1/256 (.f64 2 (.f64 (pow.f64 y 8) 1/4))))) (+.f64 (.f64 3/2 (-.f64 (sqrt.f64 5) 1)) (+.f64 3 (*.f64 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4)))))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (.f64 y y))))) (+.f64 (.f64 3/2 (-.f64 (sqrt.f64 5) 1)) (+.f64 3 (.f64 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4)))))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 1/2 (pow.f64 y 4))))) (+.f64 (.f64 3/2 (-.f64 (sqrt.f64 5) 1)) (+.f64 3 (.f64 9 (+.f64 (/.f64 1 (+.f64 9/2 (sqrt.f64 45/4))) (.f64 (.f64 y (/.f64 y (+.f64 9/2 (sqrt.f64 45/4)))) (+.f64 -1/2 (.f64 (*.f64 y y) 1/24))))))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (.f64 1/2 (.f64 y y)) (pow.f64 (sin.f64 y) 2))))) (+.f64 (.f64 3/2 (-.f64 (sqrt.f64 5) 1)) (+.f64 3 (*.f64 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4)))))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (+.f64 (.f64 1/2 (pow.f64 y 4)) (.f64 (pow.f64 y 6) -5/24))))) (+.f64 (.f64 3/2 (-.f64 (sqrt.f64 5) 1)) (+.f64 3 (.f64 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4)))))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (-.f64 1/2 (.f64 1/2 (cos.f64 (+.f64 y y)))))))) (+.f64 (.f64 3/2 (-.f64 (sqrt.f64 5) 1)) (+.f64 3 (.f64 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4)))))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 1/2 (pow.f64 y 4))))) (+.f64 (.f64 3/2 (-.f64 (sqrt.f64 5) 1)) (+.f64 3 (*.f64 9 (pow.f64 (cbrt.f64 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4)))) 3)))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 1/2 (pow.f64 y 4))))) (+.f64 (.f64 3/2 (-.f64 (sqrt.f64 5) 1)) (+.f64 3 (*.f64 9 (pow.f64 (sqrt.f64 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4)))) 2)))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2))))) (+.f64 (/.f64 6 (+.f64 1 (sqrt.f64 5))) (+.f64 3 (.f64 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4)))))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (+.f64 3 (+.f64 (.f64 9 (/.f64 1 (+.f64 9/2 (sqrt.f64 45/4)))) (.f64 3/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))))))
(/.f64 (+.f64 2 (.f64 (.f64 (sqrt.f64 2) (.f64 -1/16 (pow.f64 (sin.f64 x) 2))) (-.f64 (cos.f64 x) 1))) (.f64 3 (+.f64 (+.f64 1 (.f64 1/2 (-.f64 (sqrt.f64 5) 1))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (.f64 1/256 (.f64 (sqrt.f64 2) (.f64 y (sin.f64 x)))) (+.f64 (cos.f64 x) -1))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (*.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 -1/16 (pow.f64 (.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 y)) (sqrt.f64 2))) (sin.f64 y)) 2))) (+.f64 (.f64 3/2 (-.f64 (sqrt.f64 5) 1)) (+.f64 3 (*.f64 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4)))))))
(/.f64 (+.f64 2 (.f64 (.f64 (sqrt.f64 2) (.f64 -1/16 (pow.f64 (sin.f64 x) 2))) (-.f64 (cos.f64 x) 1))) (.f64 3 (+.f64 (+.f64 1 (/.f64 (cos.f64 x) (.f64 1/2 (+.f64 (sqrt.f64 5) 1)))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (.f64 (pow.f64 (sin.f64 y) 2) (.f64 -1/16 (sqrt.f64 2))) (-.f64 1 (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (.f64 (sqrt.f64 2) (.f64 -1/16 (pow.f64 (sin.f64 x) 2))) (-.f64 1 (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) (pow.f64 (sin.f64 y) 2))) (+.f64 (cos.f64 x) -1))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (.f64 (sqrt.f64 2) (.f64 -1/16 (pow.f64 (sin.f64 x) 2))) (-.f64 1 (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (/.f64 (cos.f64 x) (.f64 1/2 (+.f64 (sqrt.f64 5) 1)))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (sqrt.f64 (.f64 2 (.f64 (pow.f64 (sin.f64 x) 4) 1/256))) (-.f64 (cos.f64 x) 1))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (.f64 (sqrt.f64 2) (.f64 -1/16 (pow.f64 (sin.f64 x) 2))) (-.f64 (cos.f64 x) 1))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (.f64 (sqrt.f64 2) (.f64 -1/16 (pow.f64 (sin.f64 x) 2))) (-.f64 (cos.f64 x) 1))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (/.f64 4 (+.f64 3 (sqrt.f64 5))) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (.f64 (sqrt.f64 2) (.f64 (sin.f64 y) (+.f64 (.f64 x 257/256) (.f64 -1/16 (sin.f64 y))))) (-.f64 1 (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (sin.f64 x)) (+.f64 (.f64 -1/16 (sin.f64 x)) (.f64 y 257/256))) (+.f64 (cos.f64 x) -1))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 y))) 3) (pow.f64 (sin.f64 y) 2))))) (+.f64 (.f64 3/2 (-.f64 (sqrt.f64 5) 1)) (+.f64 3 (*.f64 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4)))))))
(/.f64 (+.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 -1/16 (pow.f64 (sin.f64 x) 2)))) 2) (+.f64 3 (+.f64 (.f64 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4)))) (.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 -1/16 (pow.f64 (sin.f64 y) 2)))) 2) (+.f64 3 (+.f64 (.f64 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4)))) (.f64 3/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))))))
(/.f64 (+.f64 2 (.f64 (sqrt.f64 (.f64 2 (.f64 (pow.f64 (sin.f64 x) 4) 1/256))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (.f64 (sqrt.f64 2) (.f64 -1/16 (pow.f64 (sin.f64 x) 2))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (cos.f64 x) (/.f64 2 (+.f64 (sqrt.f64 5) 1)))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (sqrt.f64 (.f64 2 (.f64 (pow.f64 (sin.f64 x) 4) 1/256))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (/.f64 (cos.f64 x) (.f64 1/2 (+.f64 (sqrt.f64 5) 1)))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (.f64 (sqrt.f64 2) (.f64 -1/16 (pow.f64 (sin.f64 x) 2))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (/.f64 (cos.f64 x) (.f64 1/2 (+.f64 (sqrt.f64 5) 1)))) (.f64 (/.f64 (/.f64 4 (+.f64 3 (sqrt.f64 5))) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (sin.f64 x)) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 1 (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (sin.f64 x) (+.f64 (.f64 -1/16 (sin.f64 x)) (.f64 y 257/256))))) 2) (+.f64 3 (+.f64 (.f64 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4)))) (.f64 3/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))))))
(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (sin.f64 x)) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (+.f64 (cos.f64 x) -1))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) (sin.f64 y))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 1 (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (*.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) (sin.f64 y))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (+.f64 (cos.f64 x) -1))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (*.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (+.f64 (sin.f64 x) (.f64 y -1/16))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (+.f64 (cos.f64 x) -1))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (*.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (.f64 (sqrt.f64 2) (.f64 -1/16 (pow.f64 (sin.f64 x) 2))) (.f64 (.f64 -2 (sin.f64 (.f64 (-.f64 x y) 1/2))) (sin.f64 (.f64 (+.f64 x y) 1/2))))) (.f64 3 (+.f64 (+.f64 1 (/.f64 (cos.f64 x) (.f64 1/2 (+.f64 (sqrt.f64 5) 1)))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 (sin.f64 x) (+.f64 (.f64 y 257/256) (.f64 -1/16 (sin.f64 x)))) (.f64 y (.f64 -1/16 y)))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2))))) (+.f64 (expm1.f64 (log1p.f64 (fma.f64 3/2 (sqrt.f64 5) -3/2))) (+.f64 3 (.f64 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4)))))))
(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (sin.f64 x)) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 (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 3/2 (-.f64 (sqrt.f64 5) 1)) (*.f64 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4)))))))
(/.f64 (+.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (.f64 (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x)) (+.f64 (.f64 -1/16 (sin.f64 x)) (sin.f64 y))))) 2) (+.f64 3 (+.f64 (.f64 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4)))) (.f64 3/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))))))
(/.f64 (+.f64 (.f64 (sqrt.f64 2) (.f64 (+.f64 (cos.f64 x) -1) (.f64 (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x)) (+.f64 (.f64 -1/16 (sin.f64 x)) (sin.f64 y))))) 2) (+.f64 3 (+.f64 (.f64 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4)))) (.f64 3/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))))))
(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (+.f64 (sin.f64 x) (.f64 y -1/16))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (*.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 1 (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))) (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x))))) (+.f64 (cos.f64 x) -1))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (.f64 (sqrt.f64 2) (.f64 -1/16 (pow.f64 (sin.f64 x) 2))) (-.f64 (cos.f64 x) 1))) (.f64 3 (+.f64 (+.f64 1 (log.f64 (exp.f64 (/.f64 (cos.f64 x) (fma.f64 1/2 (sqrt.f64 5) 1/2))))) (*.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (.f64 (.f64 (sin.f64 y) (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (cbrt.f64 (sin.f64 y))))))) (+.f64 (.f64 3/2 (-.f64 (sqrt.f64 5) 1)) (+.f64 3 (*.f64 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4)))))))
(/.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 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4)))) (.f64 3/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))))))
(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (/.f64 4 (+.f64 3 (sqrt.f64 5))) 2) (cos.f64 y)))))
(/.f64 (+.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x)) (+.f64 (.f64 -1/16 (sin.f64 x)) (sin.f64 y))))) 2) (+.f64 3 (fma.f64 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4))) (.f64 (cos.f64 x) (*.f64 (+.f64 (sqrt.f64 5) -1) 3/2)))))
(/.f64 (+.f64 2 (.f64 (.f64 (-.f64 (exp.f64 (log1p.f64 (.f64 (sqrt.f64 2) (+.f64 (sin.f64 x) (.f64 (sin.f64 y) -1/16))))) 1) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 1 (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (*.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 (.f64 (sqrt.f64 2) (.f64 (log.f64 (exp.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 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4)))) (.f64 3/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))))))
(/.f64 (+.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (cbrt.f64 (-.f64 (cos.f64 x) (cos.f64 y))) 3) (.f64 (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x)) (+.f64 (.f64 -1/16 (sin.f64 x)) (sin.f64 y))))) 2) (+.f64 3 (+.f64 (.f64 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4)))) (.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 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4)))) (pow.f64 (cbrt.f64 (.f64 (cos.f64 x) (.f64 (+.f64 (sqrt.f64 5) -1) 3/2))) 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 (log.f64 (exp.f64 (-.f64 3 (sqrt.f64 5)))) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (pow.f64 (cbrt.f64 (-.f64 (cos.f64 x) (cos.f64 y))) 3))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.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 (sqrt.f64 45/4)) 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 (pow.f64 (sqrt.f64 (fma.f64 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4))) (.f64 (cos.f64 x) (*.f64 (+.f64 (sqrt.f64 5) -1) 3/2)))) 2)))
(/.f64 (+.f64 2 (.f64 (log.f64 (+.f64 1 (expm1.f64 (.f64 (sqrt.f64 2) (.f64 (+.f64 (sin.f64 x) (.f64 (sin.f64 y) -1/16)) (+.f64 (sin.f64 y) (.f64 (sin.f64 x) -1/16))))))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (log.f64 (exp.f64 (-.f64 3 (sqrt.f64 5)))) 2) (cos.f64 y)))))
(.f64 (fma.f64 (sqrt.f64 2) (.f64 (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)) (.f64 (fma.f64 (sin.f64 x) -1/16 (sin.f64 y)) (-.f64 (cos.f64 x) (cos.f64 y)))) 2) (/.f64 1 (fma.f64 (cos.f64 x) (.f64 (+.f64 (sqrt.f64 5) -1) 3/2) (fma.f64 (cos.f64 y) (/.f64 9 (+.f64 9/2 (sqrt.f64 45/4))) 3))))

Outputs

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

Calls

3 calls:

36.0ms

28.0ms

19.0ms

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

Results

Error	Segments	Branch
0.3b	1	`x`
0.3b	1	`y`
0.3b	1	`(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))`

Compiler

Compiled 2817 to 2111 computations (25.1% saved)

regimes237.0ms (1.1%)

Counts

50 → 3

Calls

Call 1

Inputs
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 1/2 (pow.f64 y 4))))) (+.f64 (.f64 3/2 (-.f64 (sqrt.f64 5) 1)) (+.f64 3 (*.f64 9 (/.f64 1 (+.f64 9/2 (sqrt.f64 45/4)))))))
(/.f64 (+.f64 2 (.f64 (sqrt.f64 2) (.f64 -1/32 (pow.f64 y 4)))) (+.f64 (.f64 3/2 (-.f64 (sqrt.f64 5) 1)) (+.f64 3 (.f64 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4)))))))
(/.f64 (+.f64 2 (sqrt.f64 (.f64 1/256 (.f64 2 (.f64 (pow.f64 y 8) 1/4))))) (+.f64 (.f64 3/2 (-.f64 (sqrt.f64 5) 1)) (+.f64 3 (*.f64 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4)))))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (.f64 y y))))) (+.f64 (.f64 3/2 (-.f64 (sqrt.f64 5) 1)) (+.f64 3 (.f64 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4)))))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 1/2 (pow.f64 y 4))))) (+.f64 (.f64 3/2 (-.f64 (sqrt.f64 5) 1)) (+.f64 3 (.f64 9 (+.f64 (/.f64 1 (+.f64 9/2 (sqrt.f64 45/4))) (.f64 (.f64 y (/.f64 y (+.f64 9/2 (sqrt.f64 45/4)))) (+.f64 -1/2 (.f64 (*.f64 y y) 1/24))))))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (.f64 1/2 (.f64 y y)) (pow.f64 (sin.f64 y) 2))))) (+.f64 (.f64 3/2 (-.f64 (sqrt.f64 5) 1)) (+.f64 3 (*.f64 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4)))))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (+.f64 (.f64 1/2 (pow.f64 y 4)) (.f64 (pow.f64 y 6) -5/24))))) (+.f64 (.f64 3/2 (-.f64 (sqrt.f64 5) 1)) (+.f64 3 (.f64 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4)))))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (-.f64 1/2 (.f64 1/2 (cos.f64 (+.f64 y y)))))))) (+.f64 (.f64 3/2 (-.f64 (sqrt.f64 5) 1)) (+.f64 3 (.f64 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4)))))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 1/2 (pow.f64 y 4))))) (+.f64 (.f64 3/2 (-.f64 (sqrt.f64 5) 1)) (+.f64 3 (*.f64 9 (pow.f64 (cbrt.f64 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4)))) 3)))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 1/2 (pow.f64 y 4))))) (+.f64 (.f64 3/2 (-.f64 (sqrt.f64 5) 1)) (+.f64 3 (*.f64 9 (pow.f64 (sqrt.f64 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4)))) 2)))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2))))) (+.f64 (/.f64 6 (+.f64 1 (sqrt.f64 5))) (+.f64 3 (.f64 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4)))))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (+.f64 3 (+.f64 (.f64 9 (/.f64 1 (+.f64 9/2 (sqrt.f64 45/4)))) (.f64 3/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))))))
(/.f64 (+.f64 2 (.f64 (.f64 (sqrt.f64 2) (.f64 -1/16 (pow.f64 (sin.f64 x) 2))) (-.f64 (cos.f64 x) 1))) (.f64 3 (+.f64 (+.f64 1 (.f64 1/2 (-.f64 (sqrt.f64 5) 1))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (.f64 1/256 (.f64 (sqrt.f64 2) (.f64 y (sin.f64 x)))) (+.f64 (cos.f64 x) -1))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (*.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 -1/16 (pow.f64 (.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 y)) (sqrt.f64 2))) (sin.f64 y)) 2))) (+.f64 (.f64 3/2 (-.f64 (sqrt.f64 5) 1)) (+.f64 3 (*.f64 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4)))))))
(/.f64 (+.f64 2 (.f64 (.f64 (sqrt.f64 2) (.f64 -1/16 (pow.f64 (sin.f64 x) 2))) (-.f64 (cos.f64 x) 1))) (.f64 3 (+.f64 (+.f64 1 (/.f64 (cos.f64 x) (.f64 1/2 (+.f64 (sqrt.f64 5) 1)))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (.f64 (pow.f64 (sin.f64 y) 2) (.f64 -1/16 (sqrt.f64 2))) (-.f64 1 (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (.f64 (sqrt.f64 2) (.f64 -1/16 (pow.f64 (sin.f64 x) 2))) (-.f64 1 (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) (pow.f64 (sin.f64 y) 2))) (+.f64 (cos.f64 x) -1))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (.f64 (sqrt.f64 2) (.f64 -1/16 (pow.f64 (sin.f64 x) 2))) (-.f64 1 (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (/.f64 (cos.f64 x) (.f64 1/2 (+.f64 (sqrt.f64 5) 1)))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (sqrt.f64 (.f64 2 (.f64 (pow.f64 (sin.f64 x) 4) 1/256))) (-.f64 (cos.f64 x) 1))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (.f64 (sqrt.f64 2) (.f64 -1/16 (pow.f64 (sin.f64 x) 2))) (-.f64 (cos.f64 x) 1))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (.f64 (sqrt.f64 2) (.f64 -1/16 (pow.f64 (sin.f64 x) 2))) (-.f64 (cos.f64 x) 1))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (/.f64 4 (+.f64 3 (sqrt.f64 5))) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (.f64 (sqrt.f64 2) (.f64 (sin.f64 y) (+.f64 (.f64 x 257/256) (.f64 -1/16 (sin.f64 y))))) (-.f64 1 (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (sin.f64 x)) (+.f64 (.f64 -1/16 (sin.f64 x)) (.f64 y 257/256))) (+.f64 (cos.f64 x) -1))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 y))) 3) (pow.f64 (sin.f64 y) 2))))) (+.f64 (.f64 3/2 (-.f64 (sqrt.f64 5) 1)) (+.f64 3 (*.f64 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4)))))))
(/.f64 (+.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 -1/16 (pow.f64 (sin.f64 x) 2)))) 2) (+.f64 3 (+.f64 (.f64 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4)))) (.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 -1/16 (pow.f64 (sin.f64 y) 2)))) 2) (+.f64 3 (+.f64 (.f64 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4)))) (.f64 3/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))))))
(/.f64 (+.f64 2 (.f64 (sqrt.f64 (.f64 2 (.f64 (pow.f64 (sin.f64 x) 4) 1/256))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (.f64 (sqrt.f64 2) (.f64 -1/16 (pow.f64 (sin.f64 x) 2))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (cos.f64 x) (/.f64 2 (+.f64 (sqrt.f64 5) 1)))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (sqrt.f64 (.f64 2 (.f64 (pow.f64 (sin.f64 x) 4) 1/256))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (/.f64 (cos.f64 x) (.f64 1/2 (+.f64 (sqrt.f64 5) 1)))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (.f64 (sqrt.f64 2) (.f64 -1/16 (pow.f64 (sin.f64 x) 2))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (/.f64 (cos.f64 x) (.f64 1/2 (+.f64 (sqrt.f64 5) 1)))) (.f64 (/.f64 (/.f64 4 (+.f64 3 (sqrt.f64 5))) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (sin.f64 x)) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 1 (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (sin.f64 x) (+.f64 (.f64 -1/16 (sin.f64 x)) (.f64 y 257/256))))) 2) (+.f64 3 (+.f64 (.f64 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4)))) (.f64 3/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))))))
(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (sin.f64 x)) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (+.f64 (cos.f64 x) -1))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) (sin.f64 y))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 1 (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (*.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) (sin.f64 y))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (+.f64 (cos.f64 x) -1))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (*.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (+.f64 (sin.f64 x) (.f64 y -1/16))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (+.f64 (cos.f64 x) -1))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (*.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (.f64 (sqrt.f64 2) (.f64 -1/16 (pow.f64 (sin.f64 x) 2))) (.f64 (.f64 -2 (sin.f64 (.f64 (-.f64 x y) 1/2))) (sin.f64 (.f64 (+.f64 x y) 1/2))))) (.f64 3 (+.f64 (+.f64 1 (/.f64 (cos.f64 x) (.f64 1/2 (+.f64 (sqrt.f64 5) 1)))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 (sin.f64 x) (+.f64 (.f64 y 257/256) (.f64 -1/16 (sin.f64 x)))) (.f64 y (.f64 -1/16 y)))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2))))) (+.f64 (expm1.f64 (log1p.f64 (fma.f64 3/2 (sqrt.f64 5) -3/2))) (+.f64 3 (.f64 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4)))))))
(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (sin.f64 x)) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 (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 3/2 (-.f64 (sqrt.f64 5) 1)) (*.f64 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4)))))))
(/.f64 (+.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (.f64 (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x)) (+.f64 (.f64 -1/16 (sin.f64 x)) (sin.f64 y))))) 2) (+.f64 3 (+.f64 (.f64 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4)))) (.f64 3/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))))))
(/.f64 (+.f64 (.f64 (sqrt.f64 2) (.f64 (+.f64 (cos.f64 x) -1) (.f64 (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x)) (+.f64 (.f64 -1/16 (sin.f64 x)) (sin.f64 y))))) 2) (+.f64 3 (+.f64 (.f64 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4)))) (.f64 3/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))))))
(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (+.f64 (sin.f64 x) (.f64 y -1/16))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (*.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 1 (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))) (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x))))) (+.f64 (cos.f64 x) -1))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (.f64 (sqrt.f64 2) (.f64 -1/16 (pow.f64 (sin.f64 x) 2))) (-.f64 (cos.f64 x) 1))) (.f64 3 (+.f64 (+.f64 1 (log.f64 (exp.f64 (/.f64 (cos.f64 x) (fma.f64 1/2 (sqrt.f64 5) 1/2))))) (*.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (.f64 (.f64 (sin.f64 y) (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (cbrt.f64 (sin.f64 y))))))) (+.f64 (.f64 3/2 (-.f64 (sqrt.f64 5) 1)) (+.f64 3 (*.f64 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4)))))))

Outputs

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

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

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

Calls

2 calls:

94.0ms	y
62.0ms	x

Results

Error	Segments	Branch
11.2b	3	`x`
12.2b	3	`y`

Compiler

Compiled 2064 to 1606 computations (22.2% saved)

bsearch271.0ms (1.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
129.0ms	2.308301847371468e-12	8.103664163713823e-10
141.0ms	-439.8571803332426	-7.548453758583248e-17

Compiler

Compiled 57 to 44 computations (22.8% saved)

regimes149.0ms (0.7%)

Counts

42 → 3

Calls

Call 1

Inputs
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 1/2 (pow.f64 y 4))))) (+.f64 (.f64 3/2 (-.f64 (sqrt.f64 5) 1)) (+.f64 3 (*.f64 9 (/.f64 1 (+.f64 9/2 (sqrt.f64 45/4)))))))
(/.f64 (+.f64 2 (.f64 (sqrt.f64 2) (.f64 -1/32 (pow.f64 y 4)))) (+.f64 (.f64 3/2 (-.f64 (sqrt.f64 5) 1)) (+.f64 3 (.f64 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4)))))))
(/.f64 (+.f64 2 (sqrt.f64 (.f64 1/256 (.f64 2 (.f64 (pow.f64 y 8) 1/4))))) (+.f64 (.f64 3/2 (-.f64 (sqrt.f64 5) 1)) (+.f64 3 (*.f64 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4)))))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (.f64 y y))))) (+.f64 (.f64 3/2 (-.f64 (sqrt.f64 5) 1)) (+.f64 3 (.f64 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4)))))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 1/2 (pow.f64 y 4))))) (+.f64 (.f64 3/2 (-.f64 (sqrt.f64 5) 1)) (+.f64 3 (.f64 9 (+.f64 (/.f64 1 (+.f64 9/2 (sqrt.f64 45/4))) (.f64 (.f64 y (/.f64 y (+.f64 9/2 (sqrt.f64 45/4)))) (+.f64 -1/2 (.f64 (*.f64 y y) 1/24))))))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (.f64 1/2 (.f64 y y)) (pow.f64 (sin.f64 y) 2))))) (+.f64 (.f64 3/2 (-.f64 (sqrt.f64 5) 1)) (+.f64 3 (*.f64 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4)))))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (+.f64 (.f64 1/2 (pow.f64 y 4)) (.f64 (pow.f64 y 6) -5/24))))) (+.f64 (.f64 3/2 (-.f64 (sqrt.f64 5) 1)) (+.f64 3 (.f64 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4)))))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (-.f64 1/2 (.f64 1/2 (cos.f64 (+.f64 y y)))))))) (+.f64 (.f64 3/2 (-.f64 (sqrt.f64 5) 1)) (+.f64 3 (.f64 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4)))))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 1/2 (pow.f64 y 4))))) (+.f64 (.f64 3/2 (-.f64 (sqrt.f64 5) 1)) (+.f64 3 (*.f64 9 (pow.f64 (cbrt.f64 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4)))) 3)))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 1/2 (pow.f64 y 4))))) (+.f64 (.f64 3/2 (-.f64 (sqrt.f64 5) 1)) (+.f64 3 (*.f64 9 (pow.f64 (sqrt.f64 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4)))) 2)))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2))))) (+.f64 (/.f64 6 (+.f64 1 (sqrt.f64 5))) (+.f64 3 (.f64 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4)))))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (+.f64 3 (+.f64 (.f64 9 (/.f64 1 (+.f64 9/2 (sqrt.f64 45/4)))) (.f64 3/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))))))
(/.f64 (+.f64 2 (.f64 (.f64 (sqrt.f64 2) (.f64 -1/16 (pow.f64 (sin.f64 x) 2))) (-.f64 (cos.f64 x) 1))) (.f64 3 (+.f64 (+.f64 1 (.f64 1/2 (-.f64 (sqrt.f64 5) 1))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (.f64 1/256 (.f64 (sqrt.f64 2) (.f64 y (sin.f64 x)))) (+.f64 (cos.f64 x) -1))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (*.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 -1/16 (pow.f64 (.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 y)) (sqrt.f64 2))) (sin.f64 y)) 2))) (+.f64 (.f64 3/2 (-.f64 (sqrt.f64 5) 1)) (+.f64 3 (*.f64 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4)))))))
(/.f64 (+.f64 2 (.f64 (.f64 (sqrt.f64 2) (.f64 -1/16 (pow.f64 (sin.f64 x) 2))) (-.f64 (cos.f64 x) 1))) (.f64 3 (+.f64 (+.f64 1 (/.f64 (cos.f64 x) (.f64 1/2 (+.f64 (sqrt.f64 5) 1)))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (.f64 (pow.f64 (sin.f64 y) 2) (.f64 -1/16 (sqrt.f64 2))) (-.f64 1 (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (.f64 (sqrt.f64 2) (.f64 -1/16 (pow.f64 (sin.f64 x) 2))) (-.f64 1 (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) (pow.f64 (sin.f64 y) 2))) (+.f64 (cos.f64 x) -1))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (.f64 (sqrt.f64 2) (.f64 -1/16 (pow.f64 (sin.f64 x) 2))) (-.f64 1 (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (/.f64 (cos.f64 x) (.f64 1/2 (+.f64 (sqrt.f64 5) 1)))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (sqrt.f64 (.f64 2 (.f64 (pow.f64 (sin.f64 x) 4) 1/256))) (-.f64 (cos.f64 x) 1))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (.f64 (sqrt.f64 2) (.f64 -1/16 (pow.f64 (sin.f64 x) 2))) (-.f64 (cos.f64 x) 1))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (.f64 (sqrt.f64 2) (.f64 -1/16 (pow.f64 (sin.f64 x) 2))) (-.f64 (cos.f64 x) 1))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (/.f64 4 (+.f64 3 (sqrt.f64 5))) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (.f64 (sqrt.f64 2) (.f64 (sin.f64 y) (+.f64 (.f64 x 257/256) (.f64 -1/16 (sin.f64 y))))) (-.f64 1 (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (sin.f64 x)) (+.f64 (.f64 -1/16 (sin.f64 x)) (.f64 y 257/256))) (+.f64 (cos.f64 x) -1))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 y))) 3) (pow.f64 (sin.f64 y) 2))))) (+.f64 (.f64 3/2 (-.f64 (sqrt.f64 5) 1)) (+.f64 3 (*.f64 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4)))))))
(/.f64 (+.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 -1/16 (pow.f64 (sin.f64 x) 2)))) 2) (+.f64 3 (+.f64 (.f64 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4)))) (.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 -1/16 (pow.f64 (sin.f64 y) 2)))) 2) (+.f64 3 (+.f64 (.f64 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4)))) (.f64 3/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))))))
(/.f64 (+.f64 2 (.f64 (sqrt.f64 (.f64 2 (.f64 (pow.f64 (sin.f64 x) 4) 1/256))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (.f64 (sqrt.f64 2) (.f64 -1/16 (pow.f64 (sin.f64 x) 2))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (cos.f64 x) (/.f64 2 (+.f64 (sqrt.f64 5) 1)))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (sqrt.f64 (.f64 2 (.f64 (pow.f64 (sin.f64 x) 4) 1/256))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (/.f64 (cos.f64 x) (.f64 1/2 (+.f64 (sqrt.f64 5) 1)))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (.f64 (sqrt.f64 2) (.f64 -1/16 (pow.f64 (sin.f64 x) 2))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (/.f64 (cos.f64 x) (.f64 1/2 (+.f64 (sqrt.f64 5) 1)))) (.f64 (/.f64 (/.f64 4 (+.f64 3 (sqrt.f64 5))) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (sin.f64 x)) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 1 (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (sin.f64 x) (+.f64 (.f64 -1/16 (sin.f64 x)) (.f64 y 257/256))))) 2) (+.f64 3 (+.f64 (.f64 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4)))) (.f64 3/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))))))
(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (sin.f64 x)) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (+.f64 (cos.f64 x) -1))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) (sin.f64 y))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 1 (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (*.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) (sin.f64 y))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (+.f64 (cos.f64 x) -1))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (*.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (+.f64 (sin.f64 x) (.f64 y -1/16))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (+.f64 (cos.f64 x) -1))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (*.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (.f64 (sqrt.f64 2) (.f64 -1/16 (pow.f64 (sin.f64 x) 2))) (.f64 (.f64 -2 (sin.f64 (.f64 (-.f64 x y) 1/2))) (sin.f64 (.f64 (+.f64 x y) 1/2))))) (.f64 3 (+.f64 (+.f64 1 (/.f64 (cos.f64 x) (.f64 1/2 (+.f64 (sqrt.f64 5) 1)))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 (sin.f64 x) (+.f64 (.f64 y 257/256) (.f64 -1/16 (sin.f64 x)))) (.f64 y (.f64 -1/16 y)))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2))))) (+.f64 (expm1.f64 (log1p.f64 (fma.f64 3/2 (sqrt.f64 5) -3/2))) (+.f64 3 (.f64 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4)))))))
(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (sin.f64 x)) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))

Outputs

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

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

Calls

2 calls:

57.0ms	x
51.0ms	y

Results

Error	Segments	Branch
11.2b	3	`x`
12.2b	3	`y`

Compiler

Compiled 1694 to 1342 computations (20.8% saved)

bsearch288.0ms (1.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
156.0ms	2.308301847371468e-12	8.103664163713823e-10
131.0ms	-439.8571803332426	-7.548453758583248e-17

Compiler

Compiled 57 to 44 computations (22.8% saved)

regimes299.0ms (1.4%)

Counts

41 → 3

Calls

Call 1

Inputs
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 1/2 (pow.f64 y 4))))) (+.f64 (.f64 3/2 (-.f64 (sqrt.f64 5) 1)) (+.f64 3 (*.f64 9 (/.f64 1 (+.f64 9/2 (sqrt.f64 45/4)))))))
(/.f64 (+.f64 2 (.f64 (sqrt.f64 2) (.f64 -1/32 (pow.f64 y 4)))) (+.f64 (.f64 3/2 (-.f64 (sqrt.f64 5) 1)) (+.f64 3 (.f64 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4)))))))
(/.f64 (+.f64 2 (sqrt.f64 (.f64 1/256 (.f64 2 (.f64 (pow.f64 y 8) 1/4))))) (+.f64 (.f64 3/2 (-.f64 (sqrt.f64 5) 1)) (+.f64 3 (*.f64 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4)))))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (.f64 y y))))) (+.f64 (.f64 3/2 (-.f64 (sqrt.f64 5) 1)) (+.f64 3 (.f64 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4)))))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 1/2 (pow.f64 y 4))))) (+.f64 (.f64 3/2 (-.f64 (sqrt.f64 5) 1)) (+.f64 3 (.f64 9 (+.f64 (/.f64 1 (+.f64 9/2 (sqrt.f64 45/4))) (.f64 (.f64 y (/.f64 y (+.f64 9/2 (sqrt.f64 45/4)))) (+.f64 -1/2 (.f64 (*.f64 y y) 1/24))))))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (.f64 1/2 (.f64 y y)) (pow.f64 (sin.f64 y) 2))))) (+.f64 (.f64 3/2 (-.f64 (sqrt.f64 5) 1)) (+.f64 3 (*.f64 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4)))))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (+.f64 (.f64 1/2 (pow.f64 y 4)) (.f64 (pow.f64 y 6) -5/24))))) (+.f64 (.f64 3/2 (-.f64 (sqrt.f64 5) 1)) (+.f64 3 (.f64 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4)))))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (-.f64 1/2 (.f64 1/2 (cos.f64 (+.f64 y y)))))))) (+.f64 (.f64 3/2 (-.f64 (sqrt.f64 5) 1)) (+.f64 3 (.f64 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4)))))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 1/2 (pow.f64 y 4))))) (+.f64 (.f64 3/2 (-.f64 (sqrt.f64 5) 1)) (+.f64 3 (*.f64 9 (pow.f64 (cbrt.f64 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4)))) 3)))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 1/2 (pow.f64 y 4))))) (+.f64 (.f64 3/2 (-.f64 (sqrt.f64 5) 1)) (+.f64 3 (*.f64 9 (pow.f64 (sqrt.f64 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4)))) 2)))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2))))) (+.f64 (/.f64 6 (+.f64 1 (sqrt.f64 5))) (+.f64 3 (.f64 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4)))))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (+.f64 3 (+.f64 (.f64 9 (/.f64 1 (+.f64 9/2 (sqrt.f64 45/4)))) (.f64 3/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))))))
(/.f64 (+.f64 2 (.f64 (.f64 (sqrt.f64 2) (.f64 -1/16 (pow.f64 (sin.f64 x) 2))) (-.f64 (cos.f64 x) 1))) (.f64 3 (+.f64 (+.f64 1 (.f64 1/2 (-.f64 (sqrt.f64 5) 1))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (.f64 1/256 (.f64 (sqrt.f64 2) (.f64 y (sin.f64 x)))) (+.f64 (cos.f64 x) -1))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (*.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 -1/16 (pow.f64 (.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 y)) (sqrt.f64 2))) (sin.f64 y)) 2))) (+.f64 (.f64 3/2 (-.f64 (sqrt.f64 5) 1)) (+.f64 3 (*.f64 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4)))))))
(/.f64 (+.f64 2 (.f64 (.f64 (sqrt.f64 2) (.f64 -1/16 (pow.f64 (sin.f64 x) 2))) (-.f64 (cos.f64 x) 1))) (.f64 3 (+.f64 (+.f64 1 (/.f64 (cos.f64 x) (.f64 1/2 (+.f64 (sqrt.f64 5) 1)))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (.f64 (pow.f64 (sin.f64 y) 2) (.f64 -1/16 (sqrt.f64 2))) (-.f64 1 (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (.f64 (sqrt.f64 2) (.f64 -1/16 (pow.f64 (sin.f64 x) 2))) (-.f64 1 (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) (pow.f64 (sin.f64 y) 2))) (+.f64 (cos.f64 x) -1))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (.f64 (sqrt.f64 2) (.f64 -1/16 (pow.f64 (sin.f64 x) 2))) (-.f64 1 (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (/.f64 (cos.f64 x) (.f64 1/2 (+.f64 (sqrt.f64 5) 1)))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (sqrt.f64 (.f64 2 (.f64 (pow.f64 (sin.f64 x) 4) 1/256))) (-.f64 (cos.f64 x) 1))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (.f64 (sqrt.f64 2) (.f64 -1/16 (pow.f64 (sin.f64 x) 2))) (-.f64 (cos.f64 x) 1))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (.f64 (sqrt.f64 2) (.f64 -1/16 (pow.f64 (sin.f64 x) 2))) (-.f64 (cos.f64 x) 1))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (/.f64 4 (+.f64 3 (sqrt.f64 5))) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (.f64 (sqrt.f64 2) (.f64 (sin.f64 y) (+.f64 (.f64 x 257/256) (.f64 -1/16 (sin.f64 y))))) (-.f64 1 (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (sin.f64 x)) (+.f64 (.f64 -1/16 (sin.f64 x)) (.f64 y 257/256))) (+.f64 (cos.f64 x) -1))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 y))) 3) (pow.f64 (sin.f64 y) 2))))) (+.f64 (.f64 3/2 (-.f64 (sqrt.f64 5) 1)) (+.f64 3 (*.f64 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4)))))))
(/.f64 (+.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 -1/16 (pow.f64 (sin.f64 x) 2)))) 2) (+.f64 3 (+.f64 (.f64 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4)))) (.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 -1/16 (pow.f64 (sin.f64 y) 2)))) 2) (+.f64 3 (+.f64 (.f64 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4)))) (.f64 3/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))))))
(/.f64 (+.f64 2 (.f64 (sqrt.f64 (.f64 2 (.f64 (pow.f64 (sin.f64 x) 4) 1/256))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (.f64 (sqrt.f64 2) (.f64 -1/16 (pow.f64 (sin.f64 x) 2))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (cos.f64 x) (/.f64 2 (+.f64 (sqrt.f64 5) 1)))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (sqrt.f64 (.f64 2 (.f64 (pow.f64 (sin.f64 x) 4) 1/256))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (/.f64 (cos.f64 x) (.f64 1/2 (+.f64 (sqrt.f64 5) 1)))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (.f64 (sqrt.f64 2) (.f64 -1/16 (pow.f64 (sin.f64 x) 2))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (/.f64 (cos.f64 x) (.f64 1/2 (+.f64 (sqrt.f64 5) 1)))) (.f64 (/.f64 (/.f64 4 (+.f64 3 (sqrt.f64 5))) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (sin.f64 x)) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 1 (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (sin.f64 x) (+.f64 (.f64 -1/16 (sin.f64 x)) (.f64 y 257/256))))) 2) (+.f64 3 (+.f64 (.f64 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4)))) (.f64 3/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))))))
(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (sin.f64 x)) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (+.f64 (cos.f64 x) -1))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) (sin.f64 y))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 1 (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (*.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) (sin.f64 y))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (+.f64 (cos.f64 x) -1))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (*.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (+.f64 (sin.f64 x) (.f64 y -1/16))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (+.f64 (cos.f64 x) -1))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (*.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (.f64 (sqrt.f64 2) (.f64 -1/16 (pow.f64 (sin.f64 x) 2))) (.f64 (.f64 -2 (sin.f64 (.f64 (-.f64 x y) 1/2))) (sin.f64 (.f64 (+.f64 x y) 1/2))))) (.f64 3 (+.f64 (+.f64 1 (/.f64 (cos.f64 x) (.f64 1/2 (+.f64 (sqrt.f64 5) 1)))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 (sin.f64 x) (+.f64 (.f64 y 257/256) (.f64 -1/16 (sin.f64 x)))) (.f64 y (.f64 -1/16 y)))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2))))) (+.f64 (expm1.f64 (log1p.f64 (fma.f64 3/2 (sqrt.f64 5) -3/2))) (+.f64 3 (.f64 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4)))))))

Outputs

(/.f64 (+.f64 (*.f64 (sqrt.f64 2) (*.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (*.f64 -1/16 (pow.f64 (sin.f64 y) 2)))) 2) (+.f64 3 (+.f64 (*.f64 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4)))) (*.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 (sin.f64 x) (+.f64 (*.f64 -1/16 (sin.f64 x)) (*.f64 y 257/256))))) 2) (+.f64 3 (+.f64 (*.f64 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4)))) (*.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 -1/16 (pow.f64 (sin.f64 y) 2)))) 2) (+.f64 3 (+.f64 (*.f64 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4)))) (*.f64 3/2 (*.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))))))

Calls

2 calls:

125.0ms	y
68.0ms	x

Results

Error	Segments	Branch
12.2b	3	`x`
12.2b	3	`y`

Compiler

Compiled 1649 to 1312 computations (20.4% saved)

bsearch419.0ms (2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
199.0ms	6.643285079246632e-13	1.0426889152371448e-6
219.0ms	-2.337175874611913	-0.23265284820782045

Compiler

Compiled 57 to 44 computations (22.8% saved)

regimes154.0ms (0.7%)

Counts

33 → 3

Calls

Call 1

Inputs
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 1/2 (pow.f64 y 4))))) (+.f64 (.f64 3/2 (-.f64 (sqrt.f64 5) 1)) (+.f64 3 (*.f64 9 (/.f64 1 (+.f64 9/2 (sqrt.f64 45/4)))))))
(/.f64 (+.f64 2 (.f64 (sqrt.f64 2) (.f64 -1/32 (pow.f64 y 4)))) (+.f64 (.f64 3/2 (-.f64 (sqrt.f64 5) 1)) (+.f64 3 (.f64 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4)))))))
(/.f64 (+.f64 2 (sqrt.f64 (.f64 1/256 (.f64 2 (.f64 (pow.f64 y 8) 1/4))))) (+.f64 (.f64 3/2 (-.f64 (sqrt.f64 5) 1)) (+.f64 3 (*.f64 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4)))))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (.f64 y y))))) (+.f64 (.f64 3/2 (-.f64 (sqrt.f64 5) 1)) (+.f64 3 (.f64 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4)))))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 1/2 (pow.f64 y 4))))) (+.f64 (.f64 3/2 (-.f64 (sqrt.f64 5) 1)) (+.f64 3 (.f64 9 (+.f64 (/.f64 1 (+.f64 9/2 (sqrt.f64 45/4))) (.f64 (.f64 y (/.f64 y (+.f64 9/2 (sqrt.f64 45/4)))) (+.f64 -1/2 (.f64 (*.f64 y y) 1/24))))))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (.f64 1/2 (.f64 y y)) (pow.f64 (sin.f64 y) 2))))) (+.f64 (.f64 3/2 (-.f64 (sqrt.f64 5) 1)) (+.f64 3 (*.f64 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4)))))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (+.f64 (.f64 1/2 (pow.f64 y 4)) (.f64 (pow.f64 y 6) -5/24))))) (+.f64 (.f64 3/2 (-.f64 (sqrt.f64 5) 1)) (+.f64 3 (.f64 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4)))))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (-.f64 1/2 (.f64 1/2 (cos.f64 (+.f64 y y)))))))) (+.f64 (.f64 3/2 (-.f64 (sqrt.f64 5) 1)) (+.f64 3 (.f64 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4)))))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 1/2 (pow.f64 y 4))))) (+.f64 (.f64 3/2 (-.f64 (sqrt.f64 5) 1)) (+.f64 3 (*.f64 9 (pow.f64 (cbrt.f64 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4)))) 3)))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 1/2 (pow.f64 y 4))))) (+.f64 (.f64 3/2 (-.f64 (sqrt.f64 5) 1)) (+.f64 3 (*.f64 9 (pow.f64 (sqrt.f64 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4)))) 2)))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2))))) (+.f64 (/.f64 6 (+.f64 1 (sqrt.f64 5))) (+.f64 3 (.f64 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4)))))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (+.f64 3 (+.f64 (.f64 9 (/.f64 1 (+.f64 9/2 (sqrt.f64 45/4)))) (.f64 3/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))))))
(/.f64 (+.f64 2 (.f64 (.f64 (sqrt.f64 2) (.f64 -1/16 (pow.f64 (sin.f64 x) 2))) (-.f64 (cos.f64 x) 1))) (.f64 3 (+.f64 (+.f64 1 (.f64 1/2 (-.f64 (sqrt.f64 5) 1))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (.f64 1/256 (.f64 (sqrt.f64 2) (.f64 y (sin.f64 x)))) (+.f64 (cos.f64 x) -1))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (*.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 -1/16 (pow.f64 (.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 y)) (sqrt.f64 2))) (sin.f64 y)) 2))) (+.f64 (.f64 3/2 (-.f64 (sqrt.f64 5) 1)) (+.f64 3 (*.f64 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4)))))))
(/.f64 (+.f64 2 (.f64 (.f64 (sqrt.f64 2) (.f64 -1/16 (pow.f64 (sin.f64 x) 2))) (-.f64 (cos.f64 x) 1))) (.f64 3 (+.f64 (+.f64 1 (/.f64 (cos.f64 x) (.f64 1/2 (+.f64 (sqrt.f64 5) 1)))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (.f64 (pow.f64 (sin.f64 y) 2) (.f64 -1/16 (sqrt.f64 2))) (-.f64 1 (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (.f64 (sqrt.f64 2) (.f64 -1/16 (pow.f64 (sin.f64 x) 2))) (-.f64 1 (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) (pow.f64 (sin.f64 y) 2))) (+.f64 (cos.f64 x) -1))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (.f64 (sqrt.f64 2) (.f64 -1/16 (pow.f64 (sin.f64 x) 2))) (-.f64 1 (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (/.f64 (cos.f64 x) (.f64 1/2 (+.f64 (sqrt.f64 5) 1)))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (sqrt.f64 (.f64 2 (.f64 (pow.f64 (sin.f64 x) 4) 1/256))) (-.f64 (cos.f64 x) 1))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (.f64 (sqrt.f64 2) (.f64 -1/16 (pow.f64 (sin.f64 x) 2))) (-.f64 (cos.f64 x) 1))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (.f64 (sqrt.f64 2) (.f64 -1/16 (pow.f64 (sin.f64 x) 2))) (-.f64 (cos.f64 x) 1))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (/.f64 4 (+.f64 3 (sqrt.f64 5))) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (.f64 (sqrt.f64 2) (.f64 (sin.f64 y) (+.f64 (.f64 x 257/256) (.f64 -1/16 (sin.f64 y))))) (-.f64 1 (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (sin.f64 x)) (+.f64 (.f64 -1/16 (sin.f64 x)) (.f64 y 257/256))) (+.f64 (cos.f64 x) -1))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 y))) 3) (pow.f64 (sin.f64 y) 2))))) (+.f64 (.f64 3/2 (-.f64 (sqrt.f64 5) 1)) (+.f64 3 (*.f64 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4)))))))
(/.f64 (+.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 -1/16 (pow.f64 (sin.f64 x) 2)))) 2) (+.f64 3 (+.f64 (.f64 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4)))) (.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 -1/16 (pow.f64 (sin.f64 y) 2)))) 2) (+.f64 3 (+.f64 (.f64 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4)))) (.f64 3/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))))))
(/.f64 (+.f64 2 (.f64 (sqrt.f64 (.f64 2 (.f64 (pow.f64 (sin.f64 x) 4) 1/256))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (.f64 (sqrt.f64 2) (.f64 -1/16 (pow.f64 (sin.f64 x) 2))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (cos.f64 x) (/.f64 2 (+.f64 (sqrt.f64 5) 1)))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (sqrt.f64 (.f64 2 (.f64 (pow.f64 (sin.f64 x) 4) 1/256))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (/.f64 (cos.f64 x) (.f64 1/2 (+.f64 (sqrt.f64 5) 1)))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (.f64 (sqrt.f64 2) (.f64 -1/16 (pow.f64 (sin.f64 x) 2))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (/.f64 (cos.f64 x) (.f64 1/2 (+.f64 (sqrt.f64 5) 1)))) (.f64 (/.f64 (/.f64 4 (+.f64 3 (sqrt.f64 5))) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (sin.f64 x)) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 1 (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))

Outputs

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

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

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

Calls

2 calls:

62.0ms	y
43.0ms	x

Results

Error	Segments	Branch
12.2b	3	`x`
12.2b	3	`y`

Compiler

Compiled 1282 to 1040 computations (18.9% saved)

bsearch265.0ms (1.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
127.0ms	2.308301847371468e-12	8.103664163713823e-10
137.0ms	-439.8571803332426	-7.548453758583248e-17

Compiler

Compiled 57 to 44 computations (22.8% saved)

regimes121.0ms (0.6%)

Counts

26 → 3

Calls

Call 1

Inputs
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 1/2 (pow.f64 y 4))))) (+.f64 (.f64 3/2 (-.f64 (sqrt.f64 5) 1)) (+.f64 3 (*.f64 9 (/.f64 1 (+.f64 9/2 (sqrt.f64 45/4)))))))
(/.f64 (+.f64 2 (.f64 (sqrt.f64 2) (.f64 -1/32 (pow.f64 y 4)))) (+.f64 (.f64 3/2 (-.f64 (sqrt.f64 5) 1)) (+.f64 3 (.f64 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4)))))))
(/.f64 (+.f64 2 (sqrt.f64 (.f64 1/256 (.f64 2 (.f64 (pow.f64 y 8) 1/4))))) (+.f64 (.f64 3/2 (-.f64 (sqrt.f64 5) 1)) (+.f64 3 (*.f64 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4)))))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (.f64 y y))))) (+.f64 (.f64 3/2 (-.f64 (sqrt.f64 5) 1)) (+.f64 3 (.f64 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4)))))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 1/2 (pow.f64 y 4))))) (+.f64 (.f64 3/2 (-.f64 (sqrt.f64 5) 1)) (+.f64 3 (.f64 9 (+.f64 (/.f64 1 (+.f64 9/2 (sqrt.f64 45/4))) (.f64 (.f64 y (/.f64 y (+.f64 9/2 (sqrt.f64 45/4)))) (+.f64 -1/2 (.f64 (*.f64 y y) 1/24))))))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (.f64 1/2 (.f64 y y)) (pow.f64 (sin.f64 y) 2))))) (+.f64 (.f64 3/2 (-.f64 (sqrt.f64 5) 1)) (+.f64 3 (*.f64 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4)))))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (+.f64 (.f64 1/2 (pow.f64 y 4)) (.f64 (pow.f64 y 6) -5/24))))) (+.f64 (.f64 3/2 (-.f64 (sqrt.f64 5) 1)) (+.f64 3 (.f64 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4)))))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (-.f64 1/2 (.f64 1/2 (cos.f64 (+.f64 y y)))))))) (+.f64 (.f64 3/2 (-.f64 (sqrt.f64 5) 1)) (+.f64 3 (.f64 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4)))))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 1/2 (pow.f64 y 4))))) (+.f64 (.f64 3/2 (-.f64 (sqrt.f64 5) 1)) (+.f64 3 (*.f64 9 (pow.f64 (cbrt.f64 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4)))) 3)))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 1/2 (pow.f64 y 4))))) (+.f64 (.f64 3/2 (-.f64 (sqrt.f64 5) 1)) (+.f64 3 (*.f64 9 (pow.f64 (sqrt.f64 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4)))) 2)))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2))))) (+.f64 (/.f64 6 (+.f64 1 (sqrt.f64 5))) (+.f64 3 (.f64 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4)))))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (+.f64 3 (+.f64 (.f64 9 (/.f64 1 (+.f64 9/2 (sqrt.f64 45/4)))) (.f64 3/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))))))
(/.f64 (+.f64 2 (.f64 (.f64 (sqrt.f64 2) (.f64 -1/16 (pow.f64 (sin.f64 x) 2))) (-.f64 (cos.f64 x) 1))) (.f64 3 (+.f64 (+.f64 1 (.f64 1/2 (-.f64 (sqrt.f64 5) 1))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (.f64 1/256 (.f64 (sqrt.f64 2) (.f64 y (sin.f64 x)))) (+.f64 (cos.f64 x) -1))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (*.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 -1/16 (pow.f64 (.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 y)) (sqrt.f64 2))) (sin.f64 y)) 2))) (+.f64 (.f64 3/2 (-.f64 (sqrt.f64 5) 1)) (+.f64 3 (*.f64 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4)))))))
(/.f64 (+.f64 2 (.f64 (.f64 (sqrt.f64 2) (.f64 -1/16 (pow.f64 (sin.f64 x) 2))) (-.f64 (cos.f64 x) 1))) (.f64 3 (+.f64 (+.f64 1 (/.f64 (cos.f64 x) (.f64 1/2 (+.f64 (sqrt.f64 5) 1)))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (.f64 (pow.f64 (sin.f64 y) 2) (.f64 -1/16 (sqrt.f64 2))) (-.f64 1 (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (.f64 (sqrt.f64 2) (.f64 -1/16 (pow.f64 (sin.f64 x) 2))) (-.f64 1 (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) (pow.f64 (sin.f64 y) 2))) (+.f64 (cos.f64 x) -1))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (.f64 (sqrt.f64 2) (.f64 -1/16 (pow.f64 (sin.f64 x) 2))) (-.f64 1 (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (/.f64 (cos.f64 x) (.f64 1/2 (+.f64 (sqrt.f64 5) 1)))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (sqrt.f64 (.f64 2 (.f64 (pow.f64 (sin.f64 x) 4) 1/256))) (-.f64 (cos.f64 x) 1))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (.f64 (sqrt.f64 2) (.f64 -1/16 (pow.f64 (sin.f64 x) 2))) (-.f64 (cos.f64 x) 1))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (.f64 (sqrt.f64 2) (.f64 -1/16 (pow.f64 (sin.f64 x) 2))) (-.f64 (cos.f64 x) 1))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (/.f64 4 (+.f64 3 (sqrt.f64 5))) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (.f64 (sqrt.f64 2) (.f64 (sin.f64 y) (+.f64 (.f64 x 257/256) (.f64 -1/16 (sin.f64 y))))) (-.f64 1 (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (sin.f64 x)) (+.f64 (.f64 -1/16 (sin.f64 x)) (.f64 y 257/256))) (+.f64 (cos.f64 x) -1))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 y))) 3) (pow.f64 (sin.f64 y) 2))))) (+.f64 (.f64 3/2 (-.f64 (sqrt.f64 5) 1)) (+.f64 3 (*.f64 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4)))))))

Outputs

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

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

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

Calls

2 calls:

59.0ms	x
38.0ms	y

Results

Error	Segments	Branch
12.2b	3	`x`
12.3b	3	`y`

Compiler

Compiled 994 to 829 computations (16.6% saved)

bsearch309.0ms (1.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
136.0ms	2.308301847371468e-12	8.103664163713823e-10
173.0ms	-439.8571803332426	-7.548453758583248e-17

Compiler

Compiled 57 to 44 computations (22.8% saved)

regimes86.0ms (0.4%)

Counts

23 → 3

Calls

Call 1

Inputs
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 1/2 (pow.f64 y 4))))) (+.f64 (.f64 3/2 (-.f64 (sqrt.f64 5) 1)) (+.f64 3 (*.f64 9 (/.f64 1 (+.f64 9/2 (sqrt.f64 45/4)))))))
(/.f64 (+.f64 2 (.f64 (sqrt.f64 2) (.f64 -1/32 (pow.f64 y 4)))) (+.f64 (.f64 3/2 (-.f64 (sqrt.f64 5) 1)) (+.f64 3 (.f64 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4)))))))
(/.f64 (+.f64 2 (sqrt.f64 (.f64 1/256 (.f64 2 (.f64 (pow.f64 y 8) 1/4))))) (+.f64 (.f64 3/2 (-.f64 (sqrt.f64 5) 1)) (+.f64 3 (*.f64 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4)))))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (.f64 y y))))) (+.f64 (.f64 3/2 (-.f64 (sqrt.f64 5) 1)) (+.f64 3 (.f64 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4)))))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 1/2 (pow.f64 y 4))))) (+.f64 (.f64 3/2 (-.f64 (sqrt.f64 5) 1)) (+.f64 3 (.f64 9 (+.f64 (/.f64 1 (+.f64 9/2 (sqrt.f64 45/4))) (.f64 (.f64 y (/.f64 y (+.f64 9/2 (sqrt.f64 45/4)))) (+.f64 -1/2 (.f64 (*.f64 y y) 1/24))))))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (.f64 1/2 (.f64 y y)) (pow.f64 (sin.f64 y) 2))))) (+.f64 (.f64 3/2 (-.f64 (sqrt.f64 5) 1)) (+.f64 3 (*.f64 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4)))))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (+.f64 (.f64 1/2 (pow.f64 y 4)) (.f64 (pow.f64 y 6) -5/24))))) (+.f64 (.f64 3/2 (-.f64 (sqrt.f64 5) 1)) (+.f64 3 (.f64 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4)))))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (-.f64 1/2 (.f64 1/2 (cos.f64 (+.f64 y y)))))))) (+.f64 (.f64 3/2 (-.f64 (sqrt.f64 5) 1)) (+.f64 3 (.f64 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4)))))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 1/2 (pow.f64 y 4))))) (+.f64 (.f64 3/2 (-.f64 (sqrt.f64 5) 1)) (+.f64 3 (*.f64 9 (pow.f64 (cbrt.f64 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4)))) 3)))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 1/2 (pow.f64 y 4))))) (+.f64 (.f64 3/2 (-.f64 (sqrt.f64 5) 1)) (+.f64 3 (*.f64 9 (pow.f64 (sqrt.f64 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4)))) 2)))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2))))) (+.f64 (/.f64 6 (+.f64 1 (sqrt.f64 5))) (+.f64 3 (.f64 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4)))))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (+.f64 3 (+.f64 (.f64 9 (/.f64 1 (+.f64 9/2 (sqrt.f64 45/4)))) (.f64 3/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))))))
(/.f64 (+.f64 2 (.f64 (.f64 (sqrt.f64 2) (.f64 -1/16 (pow.f64 (sin.f64 x) 2))) (-.f64 (cos.f64 x) 1))) (.f64 3 (+.f64 (+.f64 1 (.f64 1/2 (-.f64 (sqrt.f64 5) 1))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (.f64 1/256 (.f64 (sqrt.f64 2) (.f64 y (sin.f64 x)))) (+.f64 (cos.f64 x) -1))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (*.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 -1/16 (pow.f64 (.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 y)) (sqrt.f64 2))) (sin.f64 y)) 2))) (+.f64 (.f64 3/2 (-.f64 (sqrt.f64 5) 1)) (+.f64 3 (*.f64 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4)))))))
(/.f64 (+.f64 2 (.f64 (.f64 (sqrt.f64 2) (.f64 -1/16 (pow.f64 (sin.f64 x) 2))) (-.f64 (cos.f64 x) 1))) (.f64 3 (+.f64 (+.f64 1 (/.f64 (cos.f64 x) (.f64 1/2 (+.f64 (sqrt.f64 5) 1)))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (.f64 (pow.f64 (sin.f64 y) 2) (.f64 -1/16 (sqrt.f64 2))) (-.f64 1 (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (.f64 (sqrt.f64 2) (.f64 -1/16 (pow.f64 (sin.f64 x) 2))) (-.f64 1 (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) (pow.f64 (sin.f64 y) 2))) (+.f64 (cos.f64 x) -1))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (.f64 (sqrt.f64 2) (.f64 -1/16 (pow.f64 (sin.f64 x) 2))) (-.f64 1 (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (/.f64 (cos.f64 x) (.f64 1/2 (+.f64 (sqrt.f64 5) 1)))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (sqrt.f64 (.f64 2 (.f64 (pow.f64 (sin.f64 x) 4) 1/256))) (-.f64 (cos.f64 x) 1))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (.f64 (sqrt.f64 2) (.f64 -1/16 (pow.f64 (sin.f64 x) 2))) (-.f64 (cos.f64 x) 1))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (.f64 (sqrt.f64 2) (.f64 -1/16 (pow.f64 (sin.f64 x) 2))) (-.f64 (cos.f64 x) 1))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (/.f64 4 (+.f64 3 (sqrt.f64 5))) 2) (cos.f64 y)))))

Outputs

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

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

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

Calls

2 calls:

32.0ms	x
30.0ms	y

Results

Error	Segments	Branch
12.3b	3	`x`
12.3b	3	`y`

Compiler

Compiled 866 to 729 computations (15.8% saved)

bsearch262.0ms (1.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
130.0ms	6.643285079246632e-13	1.0426889152371448e-6
131.0ms	-1.2486277545555302e-6	-6.295824758555725e-9

Compiler

Compiled 57 to 44 computations (22.8% saved)

regimes60.0ms (0.3%)

Counts

16 → 3

Calls

Call 1

Inputs
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 1/2 (pow.f64 y 4))))) (+.f64 (.f64 3/2 (-.f64 (sqrt.f64 5) 1)) (+.f64 3 (*.f64 9 (/.f64 1 (+.f64 9/2 (sqrt.f64 45/4)))))))
(/.f64 (+.f64 2 (.f64 (sqrt.f64 2) (.f64 -1/32 (pow.f64 y 4)))) (+.f64 (.f64 3/2 (-.f64 (sqrt.f64 5) 1)) (+.f64 3 (.f64 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4)))))))
(/.f64 (+.f64 2 (sqrt.f64 (.f64 1/256 (.f64 2 (.f64 (pow.f64 y 8) 1/4))))) (+.f64 (.f64 3/2 (-.f64 (sqrt.f64 5) 1)) (+.f64 3 (*.f64 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4)))))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (.f64 y y))))) (+.f64 (.f64 3/2 (-.f64 (sqrt.f64 5) 1)) (+.f64 3 (.f64 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4)))))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 1/2 (pow.f64 y 4))))) (+.f64 (.f64 3/2 (-.f64 (sqrt.f64 5) 1)) (+.f64 3 (.f64 9 (+.f64 (/.f64 1 (+.f64 9/2 (sqrt.f64 45/4))) (.f64 (.f64 y (/.f64 y (+.f64 9/2 (sqrt.f64 45/4)))) (+.f64 -1/2 (.f64 (*.f64 y y) 1/24))))))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (.f64 1/2 (.f64 y y)) (pow.f64 (sin.f64 y) 2))))) (+.f64 (.f64 3/2 (-.f64 (sqrt.f64 5) 1)) (+.f64 3 (*.f64 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4)))))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (+.f64 (.f64 1/2 (pow.f64 y 4)) (.f64 (pow.f64 y 6) -5/24))))) (+.f64 (.f64 3/2 (-.f64 (sqrt.f64 5) 1)) (+.f64 3 (.f64 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4)))))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (-.f64 1/2 (.f64 1/2 (cos.f64 (+.f64 y y)))))))) (+.f64 (.f64 3/2 (-.f64 (sqrt.f64 5) 1)) (+.f64 3 (.f64 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4)))))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 1/2 (pow.f64 y 4))))) (+.f64 (.f64 3/2 (-.f64 (sqrt.f64 5) 1)) (+.f64 3 (*.f64 9 (pow.f64 (cbrt.f64 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4)))) 3)))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 1/2 (pow.f64 y 4))))) (+.f64 (.f64 3/2 (-.f64 (sqrt.f64 5) 1)) (+.f64 3 (*.f64 9 (pow.f64 (sqrt.f64 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4)))) 2)))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2))))) (+.f64 (/.f64 6 (+.f64 1 (sqrt.f64 5))) (+.f64 3 (.f64 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4)))))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (+.f64 3 (+.f64 (.f64 9 (/.f64 1 (+.f64 9/2 (sqrt.f64 45/4)))) (.f64 3/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))))))
(/.f64 (+.f64 2 (.f64 (.f64 (sqrt.f64 2) (.f64 -1/16 (pow.f64 (sin.f64 x) 2))) (-.f64 (cos.f64 x) 1))) (.f64 3 (+.f64 (+.f64 1 (.f64 1/2 (-.f64 (sqrt.f64 5) 1))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (.f64 1/256 (.f64 (sqrt.f64 2) (.f64 y (sin.f64 x)))) (+.f64 (cos.f64 x) -1))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (*.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 -1/16 (pow.f64 (.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 y)) (sqrt.f64 2))) (sin.f64 y)) 2))) (+.f64 (.f64 3/2 (-.f64 (sqrt.f64 5) 1)) (+.f64 3 (*.f64 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4)))))))
(/.f64 (+.f64 2 (.f64 (.f64 (sqrt.f64 2) (.f64 -1/16 (pow.f64 (sin.f64 x) 2))) (-.f64 (cos.f64 x) 1))) (.f64 3 (+.f64 (+.f64 1 (/.f64 (cos.f64 x) (.f64 1/2 (+.f64 (sqrt.f64 5) 1)))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))

Outputs

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

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

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

Calls

2 calls:

25.0ms	y
21.0ms	x

Results

Error	Segments	Branch
12.3b	3	`x`
12.8b	3	`y`

Compiler

Compiled 584 to 503 computations (13.9% saved)

bsearch299.0ms (1.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
161.0ms	292550.4281132488	3127099.8951671203
138.0ms	-439.8571803332426	-7.548453758583248e-17

Compiler

Compiled 57 to 44 computations (22.8% saved)

regimes58.0ms (0.3%)

Counts

15 → 3

Calls

Call 1

Inputs
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 1/2 (pow.f64 y 4))))) (+.f64 (.f64 3/2 (-.f64 (sqrt.f64 5) 1)) (+.f64 3 (*.f64 9 (/.f64 1 (+.f64 9/2 (sqrt.f64 45/4)))))))
(/.f64 (+.f64 2 (.f64 (sqrt.f64 2) (.f64 -1/32 (pow.f64 y 4)))) (+.f64 (.f64 3/2 (-.f64 (sqrt.f64 5) 1)) (+.f64 3 (.f64 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4)))))))
(/.f64 (+.f64 2 (sqrt.f64 (.f64 1/256 (.f64 2 (.f64 (pow.f64 y 8) 1/4))))) (+.f64 (.f64 3/2 (-.f64 (sqrt.f64 5) 1)) (+.f64 3 (*.f64 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4)))))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (.f64 y y))))) (+.f64 (.f64 3/2 (-.f64 (sqrt.f64 5) 1)) (+.f64 3 (.f64 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4)))))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 1/2 (pow.f64 y 4))))) (+.f64 (.f64 3/2 (-.f64 (sqrt.f64 5) 1)) (+.f64 3 (.f64 9 (+.f64 (/.f64 1 (+.f64 9/2 (sqrt.f64 45/4))) (.f64 (.f64 y (/.f64 y (+.f64 9/2 (sqrt.f64 45/4)))) (+.f64 -1/2 (.f64 (*.f64 y y) 1/24))))))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (.f64 1/2 (.f64 y y)) (pow.f64 (sin.f64 y) 2))))) (+.f64 (.f64 3/2 (-.f64 (sqrt.f64 5) 1)) (+.f64 3 (*.f64 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4)))))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (+.f64 (.f64 1/2 (pow.f64 y 4)) (.f64 (pow.f64 y 6) -5/24))))) (+.f64 (.f64 3/2 (-.f64 (sqrt.f64 5) 1)) (+.f64 3 (.f64 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4)))))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (-.f64 1/2 (.f64 1/2 (cos.f64 (+.f64 y y)))))))) (+.f64 (.f64 3/2 (-.f64 (sqrt.f64 5) 1)) (+.f64 3 (.f64 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4)))))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 1/2 (pow.f64 y 4))))) (+.f64 (.f64 3/2 (-.f64 (sqrt.f64 5) 1)) (+.f64 3 (*.f64 9 (pow.f64 (cbrt.f64 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4)))) 3)))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 1/2 (pow.f64 y 4))))) (+.f64 (.f64 3/2 (-.f64 (sqrt.f64 5) 1)) (+.f64 3 (*.f64 9 (pow.f64 (sqrt.f64 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4)))) 2)))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2))))) (+.f64 (/.f64 6 (+.f64 1 (sqrt.f64 5))) (+.f64 3 (.f64 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4)))))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (+.f64 3 (+.f64 (.f64 9 (/.f64 1 (+.f64 9/2 (sqrt.f64 45/4)))) (.f64 3/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))))))
(/.f64 (+.f64 2 (.f64 (.f64 (sqrt.f64 2) (.f64 -1/16 (pow.f64 (sin.f64 x) 2))) (-.f64 (cos.f64 x) 1))) (.f64 3 (+.f64 (+.f64 1 (.f64 1/2 (-.f64 (sqrt.f64 5) 1))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (.f64 1/256 (.f64 (sqrt.f64 2) (.f64 y (sin.f64 x)))) (+.f64 (cos.f64 x) -1))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (*.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 -1/16 (pow.f64 (.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 y)) (sqrt.f64 2))) (sin.f64 y)) 2))) (+.f64 (.f64 3/2 (-.f64 (sqrt.f64 5) 1)) (+.f64 3 (*.f64 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4)))))))

Outputs

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

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

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

Calls

2 calls:

23.0ms	x
21.0ms	y

Results

Error	Segments	Branch
12.7b	3	`x`
12.8b	3	`y`

Compiler

Compiled 544 to 471 computations (13.4% saved)

bsearch368.0ms (1.8%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
167.0ms	2.308301847371468e-12	8.103664163713823e-10
200.0ms	-439.8571803332426	-7.548453758583248e-17

Compiler

Compiled 57 to 44 computations (22.8% saved)

regimes26.0ms (0.1%)

Counts

11 → 1

Calls

Call 1

Inputs
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 1/2 (pow.f64 y 4))))) (+.f64 (.f64 3/2 (-.f64 (sqrt.f64 5) 1)) (+.f64 3 (*.f64 9 (/.f64 1 (+.f64 9/2 (sqrt.f64 45/4)))))))
(/.f64 (+.f64 2 (.f64 (sqrt.f64 2) (.f64 -1/32 (pow.f64 y 4)))) (+.f64 (.f64 3/2 (-.f64 (sqrt.f64 5) 1)) (+.f64 3 (.f64 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4)))))))
(/.f64 (+.f64 2 (sqrt.f64 (.f64 1/256 (.f64 2 (.f64 (pow.f64 y 8) 1/4))))) (+.f64 (.f64 3/2 (-.f64 (sqrt.f64 5) 1)) (+.f64 3 (*.f64 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4)))))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (.f64 y y))))) (+.f64 (.f64 3/2 (-.f64 (sqrt.f64 5) 1)) (+.f64 3 (.f64 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4)))))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 1/2 (pow.f64 y 4))))) (+.f64 (.f64 3/2 (-.f64 (sqrt.f64 5) 1)) (+.f64 3 (.f64 9 (+.f64 (/.f64 1 (+.f64 9/2 (sqrt.f64 45/4))) (.f64 (.f64 y (/.f64 y (+.f64 9/2 (sqrt.f64 45/4)))) (+.f64 -1/2 (.f64 (*.f64 y y) 1/24))))))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (.f64 1/2 (.f64 y y)) (pow.f64 (sin.f64 y) 2))))) (+.f64 (.f64 3/2 (-.f64 (sqrt.f64 5) 1)) (+.f64 3 (*.f64 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4)))))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (+.f64 (.f64 1/2 (pow.f64 y 4)) (.f64 (pow.f64 y 6) -5/24))))) (+.f64 (.f64 3/2 (-.f64 (sqrt.f64 5) 1)) (+.f64 3 (.f64 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4)))))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (-.f64 1/2 (.f64 1/2 (cos.f64 (+.f64 y y)))))))) (+.f64 (.f64 3/2 (-.f64 (sqrt.f64 5) 1)) (+.f64 3 (.f64 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4)))))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 1/2 (pow.f64 y 4))))) (+.f64 (.f64 3/2 (-.f64 (sqrt.f64 5) 1)) (+.f64 3 (*.f64 9 (pow.f64 (cbrt.f64 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4)))) 3)))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 1/2 (pow.f64 y 4))))) (+.f64 (.f64 3/2 (-.f64 (sqrt.f64 5) 1)) (+.f64 3 (*.f64 9 (pow.f64 (sqrt.f64 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4)))) 2)))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2))))) (+.f64 (/.f64 6 (+.f64 1 (sqrt.f64 5))) (+.f64 3 (.f64 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4)))))))

Outputs

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

Calls

2 calls:

9.0ms	y
6.0ms	x

Results

Error	Segments	Branch
24.9b	1	`x`
24.9b	1	`y`

Compiler

Compiled 394 to 346 computations (12.2% saved)

regimes49.0ms (0.2%)

Counts

10 → 1

Calls

Call 1

Inputs
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 1/2 (pow.f64 y 4))))) (+.f64 (.f64 3/2 (-.f64 (sqrt.f64 5) 1)) (+.f64 3 (*.f64 9 (/.f64 1 (+.f64 9/2 (sqrt.f64 45/4)))))))
(/.f64 (+.f64 2 (.f64 (sqrt.f64 2) (.f64 -1/32 (pow.f64 y 4)))) (+.f64 (.f64 3/2 (-.f64 (sqrt.f64 5) 1)) (+.f64 3 (.f64 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4)))))))
(/.f64 (+.f64 2 (sqrt.f64 (.f64 1/256 (.f64 2 (.f64 (pow.f64 y 8) 1/4))))) (+.f64 (.f64 3/2 (-.f64 (sqrt.f64 5) 1)) (+.f64 3 (*.f64 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4)))))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (.f64 y y))))) (+.f64 (.f64 3/2 (-.f64 (sqrt.f64 5) 1)) (+.f64 3 (.f64 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4)))))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 1/2 (pow.f64 y 4))))) (+.f64 (.f64 3/2 (-.f64 (sqrt.f64 5) 1)) (+.f64 3 (.f64 9 (+.f64 (/.f64 1 (+.f64 9/2 (sqrt.f64 45/4))) (.f64 (.f64 y (/.f64 y (+.f64 9/2 (sqrt.f64 45/4)))) (+.f64 -1/2 (.f64 (*.f64 y y) 1/24))))))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (.f64 1/2 (.f64 y y)) (pow.f64 (sin.f64 y) 2))))) (+.f64 (.f64 3/2 (-.f64 (sqrt.f64 5) 1)) (+.f64 3 (*.f64 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4)))))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (+.f64 (.f64 1/2 (pow.f64 y 4)) (.f64 (pow.f64 y 6) -5/24))))) (+.f64 (.f64 3/2 (-.f64 (sqrt.f64 5) 1)) (+.f64 3 (.f64 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4)))))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (-.f64 1/2 (.f64 1/2 (cos.f64 (+.f64 y y)))))))) (+.f64 (.f64 3/2 (-.f64 (sqrt.f64 5) 1)) (+.f64 3 (.f64 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4)))))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 1/2 (pow.f64 y 4))))) (+.f64 (.f64 3/2 (-.f64 (sqrt.f64 5) 1)) (+.f64 3 (*.f64 9 (pow.f64 (cbrt.f64 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4)))) 3)))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 1/2 (pow.f64 y 4))))) (+.f64 (.f64 3/2 (-.f64 (sqrt.f64 5) 1)) (+.f64 3 (*.f64 9 (pow.f64 (sqrt.f64 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4)))) 2)))))

Outputs

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

Calls

2 calls:

33.0ms	x
6.0ms	y

Results

Error	Segments	Branch
24.9b	1	`x`
24.9b	1	`y`

Compiler

Compiled 359 to 317 computations (11.7% saved)

regimes36.0ms (0.2%)

Counts

7 → 1

Calls

Call 1

Inputs
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 1/2 (pow.f64 y 4))))) (+.f64 (.f64 3/2 (-.f64 (sqrt.f64 5) 1)) (+.f64 3 (*.f64 9 (/.f64 1 (+.f64 9/2 (sqrt.f64 45/4)))))))
(/.f64 (+.f64 2 (.f64 (sqrt.f64 2) (.f64 -1/32 (pow.f64 y 4)))) (+.f64 (.f64 3/2 (-.f64 (sqrt.f64 5) 1)) (+.f64 3 (.f64 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4)))))))
(/.f64 (+.f64 2 (sqrt.f64 (.f64 1/256 (.f64 2 (.f64 (pow.f64 y 8) 1/4))))) (+.f64 (.f64 3/2 (-.f64 (sqrt.f64 5) 1)) (+.f64 3 (*.f64 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4)))))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (.f64 y y))))) (+.f64 (.f64 3/2 (-.f64 (sqrt.f64 5) 1)) (+.f64 3 (.f64 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4)))))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 1/2 (pow.f64 y 4))))) (+.f64 (.f64 3/2 (-.f64 (sqrt.f64 5) 1)) (+.f64 3 (.f64 9 (+.f64 (/.f64 1 (+.f64 9/2 (sqrt.f64 45/4))) (.f64 (.f64 y (/.f64 y (+.f64 9/2 (sqrt.f64 45/4)))) (+.f64 -1/2 (.f64 (*.f64 y y) 1/24))))))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (.f64 1/2 (.f64 y y)) (pow.f64 (sin.f64 y) 2))))) (+.f64 (.f64 3/2 (-.f64 (sqrt.f64 5) 1)) (+.f64 3 (*.f64 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4)))))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (+.f64 (.f64 1/2 (pow.f64 y 4)) (.f64 (pow.f64 y 6) -5/24))))) (+.f64 (.f64 3/2 (-.f64 (sqrt.f64 5) 1)) (+.f64 3 (.f64 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4)))))))

Outputs
(/.f64 (+.f64 2 (sqrt.f64 (.f64 1/256 (.f64 2 (.f64 (pow.f64 y 8) 1/4))))) (+.f64 (.f64 3/2 (-.f64 (sqrt.f64 5) 1)) (+.f64 3 (*.f64 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4)))))))

Calls

2 calls:

25.0ms	x
5.0ms	y

Results

Error	Segments	Branch
41.7b	1	`x`
41.7b	1	`y`

Compiler

Compiled 252 to 222 computations (11.9% saved)

regimes8.0ms (0%)

Accuracy

Total -0.1b remaining (-0.2%)

Threshold costs -0.1b (-0.2%)

Counts

2 → 1

Calls

Call 1

Inputs

(/.f64 (+.f64 2 (*.f64 -1/16 (*.f64 (sqrt.f64 2) (*.f64 1/2 (pow.f64 y 4))))) (+.f64 (*.f64 3/2 (-.f64 (sqrt.f64 5) 1)) (+.f64 3 (*.f64 9 (/.f64 1 (+.f64 9/2 (sqrt.f64 45/4)))))))

(/.f64 (+.f64 2 (*.f64 (sqrt.f64 2) (*.f64 -1/32 (pow.f64 y 4)))) (+.f64 (*.f64 3/2 (-.f64 (sqrt.f64 5) 1)) (+.f64 3 (*.f64 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4)))))))

Outputs
(/.f64 (+.f64 2 (.f64 (sqrt.f64 2) (.f64 -1/32 (pow.f64 y 4)))) (+.f64 (.f64 3/2 (-.f64 (sqrt.f64 5) 1)) (+.f64 3 (.f64 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4)))))))

Calls

2 calls:

3.0ms	x
3.0ms	y

Results

Error	Segments	Branch
41.8b	1	`x`
41.8b	1	`y`

Compiler

Compiled 67 to 62 computations (7.5% saved)

simplify105.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

65×	`*-commutative_binary64`
51×	`+-commutative_binary64`
13×	`sub-neg_binary64`
6×	`neg-sub0_binary64`
6×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	199	2077
1	316	2077
2	338	2077
3	349	2077
4	356	2077
5	358	2077

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 (+.f64 (.f64 (sqrt.f64 2) (.f64 (fma.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cbrt.f64 (cos.f64 x)) (neg.f64 (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 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4)))) (.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 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4)))) (.f64 3/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))))))
(if (<=.f64 x -3869024674697321/8796093022208) (/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (sin.f64 x)) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y))))) (if (<=.f64 x 2857539279617551/1237940039285380274899124224) (/.f64 (+.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x)) (+.f64 (.f64 -1/16 (sin.f64 x)) (sin.f64 y))))) 2) (+.f64 3 (+.f64 (.f64 3/2 (-.f64 (sqrt.f64 5) 1)) (.f64 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4))))))) (/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (sin.f64 x)) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (*.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))))
(if (<=.f64 x -3869024674697321/8796093022208) (/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (sin.f64 x)) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y))))) (if (<=.f64 x 2857539279617551/1237940039285380274899124224) (/.f64 (+.f64 2 (.f64 (.f64 (sqrt.f64 2) (.f64 (sin.f64 y) (+.f64 (.f64 x 257/256) (.f64 -1/16 (sin.f64 y))))) (-.f64 1 (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y))))) (/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (sin.f64 x)) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (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)))))))
(if (<=.f64 y -2631426099500381/1125899906842624) (/.f64 (+.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 -1/16 (pow.f64 (sin.f64 y) 2)))) 2) (+.f64 3 (+.f64 (.f64 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4)))) (.f64 3/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))))) (if (<=.f64 y 6579190873589245/9903520314283042199192993792) (/.f64 (+.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (sin.f64 x) (+.f64 (.f64 -1/16 (sin.f64 x)) (.f64 y 257/256))))) 2) (+.f64 3 (+.f64 (.f64 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4)))) (.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 -1/16 (pow.f64 (sin.f64 y) 2)))) 2) (+.f64 3 (+.f64 (.f64 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4)))) (.f64 3/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))))))))
(if (<=.f64 x -3869024674697321/8796093022208) (/.f64 (+.f64 2 (.f64 (.f64 (sqrt.f64 2) (.f64 -1/16 (pow.f64 (sin.f64 x) 2))) (-.f64 (cos.f64 x) 1))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (/.f64 4 (+.f64 3 (sqrt.f64 5))) 2) (cos.f64 y))))) (if (<=.f64 x 2857539279617551/1237940039285380274899124224) (/.f64 (+.f64 2 (.f64 (.f64 (sqrt.f64 2) (.f64 (sin.f64 y) (+.f64 (.f64 x 257/256) (.f64 -1/16 (sin.f64 y))))) (-.f64 1 (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y))))) (/.f64 (+.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 -1/16 (pow.f64 (sin.f64 x) 2)))) 2) (+.f64 3 (+.f64 (.f64 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4)))) (.f64 3/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))))))))
(if (<=.f64 x -3869024674697321/8796093022208) (/.f64 (+.f64 2 (.f64 (.f64 (sqrt.f64 2) (.f64 -1/16 (pow.f64 (sin.f64 x) 2))) (-.f64 (cos.f64 x) 1))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (/.f64 4 (+.f64 3 (sqrt.f64 5))) 2) (cos.f64 y))))) (if (<=.f64 x 2857539279617551/1237940039285380274899124224) (/.f64 (+.f64 2 (.f64 (.f64 (sqrt.f64 2) (.f64 (sin.f64 y) (+.f64 (.f64 x 257/256) (.f64 -1/16 (sin.f64 y))))) (-.f64 1 (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y))))) (/.f64 (+.f64 2 (.f64 (.f64 (sqrt.f64 2) (.f64 -1/16 (pow.f64 (sin.f64 x) 2))) (-.f64 (cos.f64 x) 1))) (.f64 3 (+.f64 (+.f64 1 (/.f64 (cos.f64 x) (.f64 1/2 (+.f64 (sqrt.f64 5) 1)))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))))
(if (<=.f64 y -2948238928846911/2361183241434822606848) (/.f64 (+.f64 2 (.f64 (.f64 (pow.f64 (sin.f64 y) 2) (.f64 -1/16 (sqrt.f64 2))) (-.f64 1 (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y))))) (if (<=.f64 y 6579190873589245/9903520314283042199192993792) (/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (+.f64 3 (+.f64 (.f64 9 (/.f64 1 (+.f64 9/2 (sqrt.f64 45/4)))) (.f64 3/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))))) (/.f64 (+.f64 2 (.f64 (.f64 (pow.f64 (sin.f64 y) 2) (.f64 -1/16 (sqrt.f64 2))) (-.f64 1 (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))))
(if (<=.f64 x -3869024674697321/8796093022208) (/.f64 (+.f64 2 (.f64 (.f64 (sqrt.f64 2) (.f64 -1/16 (pow.f64 (sin.f64 x) 2))) (-.f64 (cos.f64 x) 1))) (.f64 3 (+.f64 (+.f64 1 (/.f64 (cos.f64 x) (.f64 1/2 (+.f64 (sqrt.f64 5) 1)))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y))))) (if (<=.f64 x 2512989042354405/8589934592) (/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2))))) (+.f64 (/.f64 6 (+.f64 1 (sqrt.f64 5))) (+.f64 3 (.f64 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4))))))) (/.f64 (+.f64 2 (.f64 (.f64 (sqrt.f64 2) (.f64 -1/16 (pow.f64 (sin.f64 x) 2))) (-.f64 (cos.f64 x) 1))) (.f64 3 (+.f64 (+.f64 1 (/.f64 (cos.f64 x) (.f64 1/2 (+.f64 (sqrt.f64 5) 1)))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))))
(if (<=.f64 x -3869024674697321/8796093022208) (/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (+.f64 3 (+.f64 (.f64 9 (/.f64 1 (+.f64 9/2 (sqrt.f64 45/4)))) (.f64 3/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))))) (if (<=.f64 x 2857539279617551/1237940039285380274899124224) (/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2))))) (+.f64 (/.f64 6 (+.f64 1 (sqrt.f64 5))) (+.f64 3 (.f64 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4))))))) (/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (+.f64 3 (+.f64 (.f64 9 (/.f64 1 (+.f64 9/2 (sqrt.f64 45/4)))) (.f64 3/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))))))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2))))) (+.f64 (/.f64 6 (+.f64 1 (sqrt.f64 5))) (+.f64 3 (.f64 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4)))))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (-.f64 1/2 (.f64 1/2 (cos.f64 (+.f64 y y)))))))) (+.f64 (.f64 3/2 (-.f64 (sqrt.f64 5) 1)) (+.f64 3 (.f64 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4)))))))
(/.f64 (+.f64 2 (sqrt.f64 (.f64 1/256 (.f64 2 (.f64 (pow.f64 y 8) 1/4))))) (+.f64 (.f64 3/2 (-.f64 (sqrt.f64 5) 1)) (+.f64 3 (*.f64 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4)))))))
(/.f64 (+.f64 2 (.f64 (sqrt.f64 2) (.f64 -1/32 (pow.f64 y 4)))) (+.f64 (.f64 3/2 (-.f64 (sqrt.f64 5) 1)) (+.f64 3 (.f64 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4)))))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 1/2 (pow.f64 y 4))))) (+.f64 (.f64 3/2 (-.f64 (sqrt.f64 5) 1)) (+.f64 3 (*.f64 9 (/.f64 1 (+.f64 9/2 (sqrt.f64 45/4)))))))

Outputs
(/.f64 (+.f64 (.f64 (sqrt.f64 2) (.f64 (fma.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cbrt.f64 (cos.f64 x)) (neg.f64 (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 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4)))) (.f64 3/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))))))
(/.f64 (+.f64 2 (.f64 (sqrt.f64 2) (.f64 (fma.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cbrt.f64 (cos.f64 x)) (neg.f64 (cos.f64 y))) (.f64 (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x)) (+.f64 (sin.f64 y) (.f64 -1/16 (sin.f64 x))))))) (+.f64 3 (+.f64 (.f64 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4)))) (.f64 3/2 (.f64 (cos.f64 x) (-.f64 (sqrt.f64 5) 1))))))
(/.f64 (+.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x)) (+.f64 (.f64 -1/16 (sin.f64 x)) (sin.f64 y))))) 2) (+.f64 3 (+.f64 (.f64 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4)))) (.f64 3/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))))))
(/.f64 (+.f64 2 (.f64 (sqrt.f64 2) (.f64 (.f64 (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x)) (+.f64 (sin.f64 y) (.f64 -1/16 (sin.f64 x)))) (-.f64 (cos.f64 x) (cos.f64 y))))) (+.f64 3 (+.f64 (.f64 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4)))) (.f64 3/2 (.f64 (cos.f64 x) (-.f64 (sqrt.f64 5) 1))))))
(if (<=.f64 x -3869024674697321/8796093022208) (/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (sin.f64 x)) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y))))) (if (<=.f64 x 2857539279617551/1237940039285380274899124224) (/.f64 (+.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x)) (+.f64 (.f64 -1/16 (sin.f64 x)) (sin.f64 y))))) 2) (+.f64 3 (+.f64 (.f64 3/2 (-.f64 (sqrt.f64 5) 1)) (.f64 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4))))))) (/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (sin.f64 x)) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (*.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))))
(if (<=.f64 x -3869024674697321/8796093022208) (/.f64 (+.f64 2 (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (.f64 (sqrt.f64 2) (sin.f64 x)) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))))) (.f64 3 (+.f64 (+.f64 1 (.f64 (cos.f64 x) (/.f64 (-.f64 (sqrt.f64 5) 1) 2))) (.f64 (cos.f64 y) (/.f64 (-.f64 3 (sqrt.f64 5)) 2))))) (if (<=.f64 x 2857539279617551/1237940039285380274899124224) (/.f64 (+.f64 2 (.f64 (sqrt.f64 2) (.f64 (.f64 (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x)) (+.f64 (sin.f64 y) (.f64 -1/16 (sin.f64 x)))) (-.f64 (cos.f64 x) (cos.f64 y))))) (+.f64 3 (+.f64 (.f64 9 (/.f64 (cos.f64 y) (+.f64 9/2 (sqrt.f64 45/4)))) (.f64 3/2 (-.f64 (sqrt.f64 5) 1))))) (/.f64 (+.f64 2 (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (.f64 (sqrt.f64 2) (sin.f64 x)) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))))) (.f64 3 (+.f64 (+.f64 1 (.f64 (cos.f64 x) (/.f64 (-.f64 (sqrt.f64 5) 1) 2))) (*.f64 (cos.f64 y) (/.f64 (-.f64 3 (sqrt.f64 5)) 2)))))))
(if (<=.f64 x -3869024674697321/8796093022208) (/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (sin.f64 x)) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y))))) (if (<=.f64 x 2857539279617551/1237940039285380274899124224) (/.f64 (+.f64 2 (.f64 (.f64 (sqrt.f64 2) (.f64 (sin.f64 y) (+.f64 (.f64 x 257/256) (.f64 -1/16 (sin.f64 y))))) (-.f64 1 (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y))))) (/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (sin.f64 x)) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (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)))))))
(if (<=.f64 x -3869024674697321/8796093022208) (/.f64 (+.f64 2 (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (.f64 (sqrt.f64 2) (sin.f64 x)) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))))) (.f64 3 (+.f64 (+.f64 1 (.f64 (cos.f64 x) (/.f64 (-.f64 (sqrt.f64 5) 1) 2))) (.f64 (cos.f64 y) (/.f64 (-.f64 3 (sqrt.f64 5)) 2))))) (if (<=.f64 x 2857539279617551/1237940039285380274899124224) (/.f64 (+.f64 2 (.f64 (.f64 (sqrt.f64 2) (.f64 (sin.f64 y) (+.f64 (.f64 -1/16 (sin.f64 y)) (.f64 x 257/256)))) (-.f64 1 (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (cos.f64 x) (/.f64 (-.f64 (sqrt.f64 5) 1) 2))) (.f64 (cos.f64 y) (/.f64 (-.f64 3 (sqrt.f64 5)) 2))))) (/.f64 (+.f64 2 (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (.f64 (sqrt.f64 2) (sin.f64 x)) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))))) (.f64 3 (+.f64 (+.f64 1 (.f64 (cos.f64 x) (/.f64 (-.f64 (sqrt.f64 5) 1) 2))) (.f64 (cos.f64 y) (/.f64 (-.f64 3 (sqrt.f64 5)) 2)))))))
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end722.0ms (3.4%)

Stop Event

1×

fuel

Compiler

Compiled 2666 to 2097 computations (21.3% saved)