Details

analyze443.0ms (1.2%)

Algorithm

1×

Search

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

Compiler

Compiled 53 to 41 computations (22.6% saved)

sample9.2s (24.6%)

Results

6.0s	3615×	body	1024	valid
1.6s	3162×	body	256	valid
1.5s	1466×	body	512	valid
30.0ms	13×	body	2048	valid

preprocess62.0ms (0.2%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

Inputs

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

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

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

Compiler

Compiled 54 to 42 computations (22.2% saved)

simplify36.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 4 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

Inputs

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

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

eval2.0ms (0%)

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

prune3.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

0.3b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.4b	(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
▶	0.4b	(/.f64 (fma.f64 (sqrt.f64 2) (.f64 (+.f64 (sin.f64 y) (.f64 -1/16 (sin.f64 x))) (.f64 (+.f64 (sin.f64 x) (.f64 -1/16 (sin.f64 y))) (-.f64 (cos.f64 x) (cos.f64 y)))) 2) (fma.f64 (cos.f64 x) (/.f64 (+.f64 (sqrt.f64 5) -1) 2/3) (fma.f64 (cos.f64 y) (-.f64 9/2 (/.f64 (sqrt.f64 5) 2/3)) 3)))

Status

Error

Program

▶

0.4b

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

Compiler

Compiled 99 to 75 computations (24.2% saved)

localize123.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 269 to 178 computations (33.8% saved)

series19.0ms (0.1%)

Counts

4 → 56

Calls

18 calls:

Time	Variable		Point	Expression
3.0ms	x	@	-inf	(.f64 (.f64 (*.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))
2.0ms	x	@	inf	(.f64 (.f64 (*.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))
1.0ms	y	@	inf	(.f64 (.f64 (*.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))
1.0ms	y	@	-inf	(.f64 (.f64 (*.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))
1.0ms	x	@	inf	(*.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)))

rewrite314.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

453×	`expm1-udef_binary64`
453×	`log1p-udef_binary64`
259×	`add-sqr-sqrt_binary64`
250×	`*-un-lft-identity_binary64`
250×	`pow1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	69
1	506	69
2	6977	69

Stop Event

1×	node limit

Counts

4 → 112

Calls

Call 1

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

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

simplify79.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

841×	`associate-r_binary64`
537×	`distribute-rgt-in_binary64`
536×	`distribute-lft-in_binary64`
496×	`distribute-lft-out_binary64`
379×	`*-commutative_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	159	1700
1	474	1684
2	1671	1619
3	6580	1591

Stop Event

1×	node limit

Counts

168 → 163

Calls

Call 1

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

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

localize80.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 203 to 123 computations (39.4% saved)

series36.0ms (0.1%)

Counts

3 → 24

Calls

6 calls:

Time	Variable		Point	Expression
18.0ms	y	@	inf	(/.f64 (fma.f64 (sqrt.f64 2) (.f64 (+.f64 (sin.f64 y) (.f64 -1/16 (sin.f64 x))) (.f64 (+.f64 (sin.f64 x) (.f64 -1/16 (sin.f64 y))) (-.f64 (cos.f64 x) (cos.f64 y)))) 2) (fma.f64 (cos.f64 x) (/.f64 (+.f64 (sqrt.f64 5) -1) 2/3) (fma.f64 (cos.f64 y) (-.f64 9/2 (/.f64 (sqrt.f64 5) 2/3)) 3)))
6.0ms	y	@	-inf	(/.f64 (fma.f64 (sqrt.f64 2) (.f64 (+.f64 (sin.f64 y) (.f64 -1/16 (sin.f64 x))) (.f64 (+.f64 (sin.f64 x) (.f64 -1/16 (sin.f64 y))) (-.f64 (cos.f64 x) (cos.f64 y)))) 2) (fma.f64 (cos.f64 x) (/.f64 (+.f64 (sqrt.f64 5) -1) 2/3) (fma.f64 (cos.f64 y) (-.f64 9/2 (/.f64 (sqrt.f64 5) 2/3)) 3)))
3.0ms	x	@	inf	(/.f64 (fma.f64 (sqrt.f64 2) (.f64 (+.f64 (sin.f64 y) (.f64 -1/16 (sin.f64 x))) (.f64 (+.f64 (sin.f64 x) (.f64 -1/16 (sin.f64 y))) (-.f64 (cos.f64 x) (cos.f64 y)))) 2) (fma.f64 (cos.f64 x) (/.f64 (+.f64 (sqrt.f64 5) -1) 2/3) (fma.f64 (cos.f64 y) (-.f64 9/2 (/.f64 (sqrt.f64 5) 2/3)) 3)))
3.0ms	x	@	-inf	(/.f64 (fma.f64 (sqrt.f64 2) (.f64 (+.f64 (sin.f64 y) (.f64 -1/16 (sin.f64 x))) (.f64 (+.f64 (sin.f64 x) (.f64 -1/16 (sin.f64 y))) (-.f64 (cos.f64 x) (cos.f64 y)))) 2) (fma.f64 (cos.f64 x) (/.f64 (+.f64 (sqrt.f64 5) -1) 2/3) (fma.f64 (cos.f64 y) (-.f64 9/2 (/.f64 (sqrt.f64 5) 2/3)) 3)))
2.0ms	y	@	0	(/.f64 (fma.f64 (sqrt.f64 2) (.f64 (+.f64 (sin.f64 y) (.f64 -1/16 (sin.f64 x))) (.f64 (+.f64 (sin.f64 x) (.f64 -1/16 (sin.f64 y))) (-.f64 (cos.f64 x) (cos.f64 y)))) 2) (fma.f64 (cos.f64 x) (/.f64 (+.f64 (sqrt.f64 5) -1) 2/3) (fma.f64 (cos.f64 y) (-.f64 9/2 (/.f64 (sqrt.f64 5) 2/3)) 3)))

rewrite166.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	31	89
1	698	79

Stop Event

1×	node limit

Counts

3 → 71

Calls

Call 1

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

Inputs

(/.f64 (+.f64 (sqrt.f64 5) -1) 2/3)

(-.f64 9/2 (/.f64 (sqrt.f64 5) 2/3))

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

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 1 (.f64 (+.f64 (sqrt.f64 5) -1) 3/2))))) (#(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 (+.f64 (sqrt.f64 5) -1) 3/2)) (sqrt.f64 (.f64 (+.f64 (sqrt.f64 5) -1) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (+.f64 (sqrt.f64 5) -1)) -3/2)))) (#(struct:change #<rule egg-rr> (2) ((x 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 2/3 (+.f64 (sqrt.f64 5) -1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (pow.f64 (+.f64 (sqrt.f64 5) -1) 2) 4/9))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (+.f64 (sqrt.f64 5) -1)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 (+.f64 (sqrt.f64 5) -1) 3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 (+.f64 (sqrt.f64 5) -1) 3/2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 (+.f64 (sqrt.f64 5) -1) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 (+.f64 (sqrt.f64 5) -1) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 (+.f64 (sqrt.f64 5) -1) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 (+.f64 (sqrt.f64 5) -1) 3/2)) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 9/2 (neg.f64 (sqrt.f64 45/4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (-.f64 9/2 (sqrt.f64 45/4)))))) (#(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 81/4 (+.f64 45/4 (.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 81/4 (+.f64 45/4 (.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 81/4 (+.f64 45/4 (.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 81/4 (+.f64 45/4 (.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 pow.f64 (-.f64 9/2 (sqrt.f64 45/4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 9/2 (sqrt.f64 45/4)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 9/2 (sqrt.f64 45/4))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 9/2 (sqrt.f64 45/4))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 9/2 (sqrt.f64 45/4)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 9/2 (sqrt.f64 45/4))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 9/2 (sqrt.f64 45/4)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 9/2 (sqrt.f64 45/4)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 9/2 (sqrt.f64 45/4))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 9/2 (sqrt.f64 45/4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 9/2 (sqrt.f64 45/4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (-.f64 9/2 (sqrt.f64 45/4))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 (sqrt.f64 2) (.f64 (fma.f64 -1/16 (sin.f64 x) (sin.f64 y)) (.f64 (fma.f64 (sin.f64 y) -1/16 (sin.f64 x)) (-.f64 (cos.f64 x) (cos.f64 y)))) 2) (fma.f64 (cos.f64 x) (.f64 (+.f64 (sqrt.f64 5) -1) 3/2) (fma.f64 (cos.f64 y) (-.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 x) (sin.f64 y)) (.f64 (fma.f64 (sin.f64 y) -1/16 (sin.f64 x)) (-.f64 (cos.f64 x) (cos.f64 y)))) 2) (/.f64 1 (fma.f64 (cos.f64 x) (.f64 (+.f64 (sqrt.f64 5) -1) 3/2) (fma.f64 (cos.f64 y) (-.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 x) (sin.f64 y)) (.f64 (fma.f64 (sin.f64 y) -1/16 (sin.f64 x)) (-.f64 (cos.f64 x) (cos.f64 y)))) 2) (fma.f64 (cos.f64 x) (.f64 (+.f64 (sqrt.f64 5) -1) 3/2) (fma.f64 (cos.f64 y) (-.f64 9/2 (sqrt.f64 45/4)) 3))))))) (#(struct:change 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Outputs

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

simplify78.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

846×	`distribute-rgt-in_binary64`
844×	`distribute-lft-in_binary64`
802×	`associate-l_binary64`
635×	`fma-def_binary64`
326×	`times-frac_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	150	2745
1	481	2645
2	1869	2429

Stop Event

1×	node limit

Counts

95 → 89

Calls

Call 1

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

Outputs
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (.f64 3/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))) (.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1))))) (+.f64 15/2 (-.f64 (.f64 3/2 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1))) (.f64 3/2 (sqrt.f64 5)))))
(/.f64 (fma.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1))) 2) (+.f64 15/2 (.f64 3/2 (-.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) (sqrt.f64 5)))))
(/.f64 (fma.f64 (sqrt.f64 2) (*.f64 (pow.f64 (sin.f64 x) 2) (fma.f64 -1/16 (cos.f64 x) 1/16)) 2) (fma.f64 (sqrt.f64 5) -3/2 (fma.f64 (cos.f64 x) (fma.f64 3/2 (sqrt.f64 5) -3/2) 15/2)))
(+.f64 (.f64 2 (/.f64 1 (-.f64 (+.f64 15/2 (.f64 3/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))) (.f64 3/2 (sqrt.f64 5))))) (+.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 y (.f64 (-.f64 (cos.f64 x) 1) (+.f64 (.f64 1/256 (sin.f64 x)) (sin.f64 x))))) (-.f64 (+.f64 15/2 (.f64 3/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))) (.f64 3/2 (sqrt.f64 5)))) (.f64 -1/16 (/.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))) (-.f64 (+.f64 15/2 (.f64 3/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))) (*.f64 3/2 (sqrt.f64 5)))))))
(+.f64 (/.f64 2 (+.f64 15/2 (-.f64 (.f64 3/2 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1))) (.f64 3/2 (sqrt.f64 5))))) (+.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 y (.f64 (+.f64 (cos.f64 x) -1) (.f64 257/256 (sin.f64 x))))) (+.f64 15/2 (-.f64 (.f64 3/2 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1))) (.f64 3/2 (sqrt.f64 5))))) (.f64 -1/16 (/.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1))) (+.f64 15/2 (-.f64 (.f64 3/2 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1))) (.f64 3/2 (sqrt.f64 5))))))))
(+.f64 (/.f64 2 (+.f64 15/2 (.f64 3/2 (-.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) (sqrt.f64 5))))) (fma.f64 -1/16 (.f64 (/.f64 (sqrt.f64 2) (+.f64 15/2 (.f64 3/2 (-.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) (sqrt.f64 5))))) (.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1))) (/.f64 (.f64 (.f64 (+.f64 (cos.f64 x) -1) (.f64 (sin.f64 x) 257/256)) (.f64 (sqrt.f64 2) y)) (+.f64 15/2 (.f64 3/2 (-.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) (sqrt.f64 5)))))))
(+.f64 (/.f64 2 (fma.f64 (sqrt.f64 5) -3/2 (fma.f64 (cos.f64 x) (fma.f64 3/2 (sqrt.f64 5) -3/2) 15/2))) (fma.f64 (/.f64 (sqrt.f64 2) (fma.f64 (sqrt.f64 5) -3/2 (fma.f64 (cos.f64 x) (fma.f64 3/2 (sqrt.f64 5) -3/2) 15/2))) (.f64 (+.f64 (cos.f64 x) -1) (.f64 (sin.f64 x) (.f64 257/256 y))) (/.f64 (.f64 (sqrt.f64 2) (fma.f64 -1/16 (cos.f64 x) 1/16)) (/.f64 (fma.f64 (sqrt.f64 5) -3/2 (fma.f64 (cos.f64 x) (fma.f64 3/2 (sqrt.f64 5) -3/2) 15/2)) (pow.f64 (sin.f64 x) 2)))))
(+.f64 (.f64 (pow.f64 y 2) (-.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 -1/32 (pow.f64 (sin.f64 x) 2)) (.f64 -1/16 (-.f64 (cos.f64 x) 1)))) (-.f64 (+.f64 15/2 (.f64 3/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))) (.f64 3/2 (sqrt.f64 5)))) (.f64 -1/2 (/.f64 (.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5)))) (pow.f64 (-.f64 (+.f64 15/2 (.f64 3/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))) (.f64 3/2 (sqrt.f64 5))) 2))))) (+.f64 (.f64 2 (/.f64 1 (-.f64 (+.f64 15/2 (.f64 3/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))) (.f64 3/2 (sqrt.f64 5))))) (+.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 y (.f64 (-.f64 (cos.f64 x) 1) (+.f64 (.f64 1/256 (sin.f64 x)) (sin.f64 x))))) (-.f64 (+.f64 15/2 (.f64 3/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))) (.f64 3/2 (sqrt.f64 5)))) (.f64 -1/16 (/.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))) (-.f64 (+.f64 15/2 (.f64 3/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))) (*.f64 3/2 (sqrt.f64 5))))))))
(fma.f64 (.f64 y y) (-.f64 (/.f64 (.f64 (sqrt.f64 2) (fma.f64 -1/32 (pow.f64 (sin.f64 x) 2) (.f64 -1/16 (+.f64 (cos.f64 x) -1)))) (+.f64 15/2 (-.f64 (.f64 3/2 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1))) (.f64 3/2 (sqrt.f64 5))))) (.f64 -1/2 (/.f64 (.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1))))) (+.f64 9/2 (.f64 -3/2 (sqrt.f64 5)))) (pow.f64 (+.f64 15/2 (-.f64 (.f64 3/2 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1))) (.f64 3/2 (sqrt.f64 5)))) 2)))) (+.f64 (/.f64 2 (+.f64 15/2 (-.f64 (.f64 3/2 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1))) (.f64 3/2 (sqrt.f64 5))))) (+.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 y (.f64 (+.f64 (cos.f64 x) -1) (.f64 257/256 (sin.f64 x))))) (+.f64 15/2 (-.f64 (.f64 3/2 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1))) (.f64 3/2 (sqrt.f64 5))))) (.f64 -1/16 (/.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1))) (+.f64 15/2 (-.f64 (.f64 3/2 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1))) (*.f64 3/2 (sqrt.f64 5)))))))))
(+.f64 (fma.f64 -1/16 (.f64 (/.f64 (sqrt.f64 2) (+.f64 15/2 (.f64 3/2 (-.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) (sqrt.f64 5))))) (.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1))) (/.f64 (.f64 (.f64 (+.f64 (cos.f64 x) -1) (.f64 (sin.f64 x) 257/256)) (.f64 (sqrt.f64 2) y)) (+.f64 15/2 (.f64 3/2 (-.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) (sqrt.f64 5)))))) (fma.f64 (.f64 y y) (+.f64 (/.f64 (fma.f64 -1/16 (+.f64 (cos.f64 x) -1) (.f64 (pow.f64 (sin.f64 x) 2) -1/32)) (/.f64 (+.f64 15/2 (.f64 3/2 (-.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) (sqrt.f64 5)))) (sqrt.f64 2))) (/.f64 (.f64 1/2 (fma.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1))) 2)) (/.f64 (pow.f64 (+.f64 15/2 (.f64 3/2 (-.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) (sqrt.f64 5)))) 2) (+.f64 9/2 (.f64 (sqrt.f64 5) -3/2))))) (/.f64 2 (+.f64 15/2 (.f64 3/2 (-.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) (sqrt.f64 5)))))))
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(+.f64 (.f64 (pow.f64 y 3) (-.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 1/2 (+.f64 (.f64 1/256 (sin.f64 x)) (sin.f64 x))) (.f64 (+.f64 (.f64 -1/1536 (sin.f64 x)) (.f64 -1/6 (sin.f64 x))) (-.f64 (cos.f64 x) 1)))) (-.f64 (+.f64 15/2 (.f64 3/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))) (.f64 3/2 (sqrt.f64 5)))) (.f64 -1/2 (/.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) 1) (.f64 (+.f64 (.f64 1/256 (sin.f64 x)) (sin.f64 x)) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5)))))) (pow.f64 (-.f64 (+.f64 15/2 (.f64 3/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))) (.f64 3/2 (sqrt.f64 5))) 2))))) (+.f64 (.f64 (pow.f64 y 2) (-.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 -1/32 (pow.f64 (sin.f64 x) 2)) (.f64 -1/16 (-.f64 (cos.f64 x) 1)))) (-.f64 (+.f64 15/2 (.f64 3/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))) (.f64 3/2 (sqrt.f64 5)))) (.f64 -1/2 (/.f64 (.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5)))) (pow.f64 (-.f64 (+.f64 15/2 (.f64 3/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))) (.f64 3/2 (sqrt.f64 5))) 2))))) (+.f64 (.f64 2 (/.f64 1 (-.f64 (+.f64 15/2 (.f64 3/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))) (.f64 3/2 (sqrt.f64 5))))) (+.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 y (.f64 (-.f64 (cos.f64 x) 1) (+.f64 (.f64 1/256 (sin.f64 x)) (sin.f64 x))))) (-.f64 (+.f64 15/2 (.f64 3/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))) (.f64 3/2 (sqrt.f64 5)))) (.f64 -1/16 (/.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))) (-.f64 (+.f64 15/2 (.f64 3/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))) (.f64 3/2 (sqrt.f64 5)))))))))
(fma.f64 (pow.f64 y 3) (+.f64 (/.f64 (.f64 (sqrt.f64 2) (fma.f64 1/2 (.f64 257/256 (sin.f64 x)) (.f64 (+.f64 (cos.f64 x) -1) (.f64 (sin.f64 x) -257/1536)))) (+.f64 15/2 (-.f64 (.f64 3/2 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1))) (.f64 3/2 (sqrt.f64 5))))) (.f64 1/2 (/.f64 (.f64 (sqrt.f64 2) (.f64 (+.f64 (cos.f64 x) -1) (.f64 (.f64 257/256 (sin.f64 x)) (+.f64 9/2 (.f64 -3/2 (sqrt.f64 5)))))) (pow.f64 (+.f64 15/2 (-.f64 (.f64 3/2 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1))) (.f64 3/2 (sqrt.f64 5)))) 2)))) (fma.f64 (.f64 y y) (-.f64 (/.f64 (.f64 (sqrt.f64 2) (fma.f64 -1/32 (pow.f64 (sin.f64 x) 2) (.f64 -1/16 (+.f64 (cos.f64 x) -1)))) (+.f64 15/2 (-.f64 (.f64 3/2 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1))) (.f64 3/2 (sqrt.f64 5))))) (.f64 -1/2 (/.f64 (.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1))))) (+.f64 9/2 (.f64 -3/2 (sqrt.f64 5)))) (pow.f64 (+.f64 15/2 (-.f64 (.f64 3/2 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1))) (.f64 3/2 (sqrt.f64 5)))) 2)))) (+.f64 (/.f64 2 (+.f64 15/2 (-.f64 (.f64 3/2 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1))) (.f64 3/2 (sqrt.f64 5))))) (+.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 y (.f64 (+.f64 (cos.f64 x) -1) (.f64 257/256 (sin.f64 x))))) (+.f64 15/2 (-.f64 (.f64 3/2 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1))) (.f64 3/2 (sqrt.f64 5))))) (.f64 -1/16 (/.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1))) (+.f64 15/2 (-.f64 (.f64 3/2 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1))) (*.f64 3/2 (sqrt.f64 5))))))))))
(fma.f64 (pow.f64 y 3) (+.f64 (/.f64 (.f64 (sqrt.f64 2) (fma.f64 (+.f64 (cos.f64 x) -1) (.f64 (sin.f64 x) -257/1536) (.f64 257/512 (sin.f64 x)))) (+.f64 15/2 (.f64 3/2 (-.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) (sqrt.f64 5))))) (.f64 1/2 (/.f64 (.f64 (sqrt.f64 2) (.f64 (.f64 (sin.f64 x) 257/256) (.f64 (+.f64 (cos.f64 x) -1) (+.f64 9/2 (.f64 (sqrt.f64 5) -3/2))))) (pow.f64 (+.f64 15/2 (.f64 3/2 (-.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) (sqrt.f64 5)))) 2)))) (+.f64 (fma.f64 -1/16 (.f64 (/.f64 (sqrt.f64 2) (+.f64 15/2 (.f64 3/2 (-.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) (sqrt.f64 5))))) (.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1))) (/.f64 (.f64 (.f64 (+.f64 (cos.f64 x) -1) (.f64 (sin.f64 x) 257/256)) (.f64 (sqrt.f64 2) y)) (+.f64 15/2 (.f64 3/2 (-.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) (sqrt.f64 5)))))) (fma.f64 (.f64 y y) (+.f64 (/.f64 (fma.f64 -1/16 (+.f64 (cos.f64 x) -1) (.f64 (pow.f64 (sin.f64 x) 2) -1/32)) (/.f64 (+.f64 15/2 (.f64 3/2 (-.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) (sqrt.f64 5)))) (sqrt.f64 2))) (/.f64 (.f64 1/2 (fma.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1))) 2)) (/.f64 (pow.f64 (+.f64 15/2 (.f64 3/2 (-.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) (sqrt.f64 5)))) 2) (+.f64 9/2 (.f64 (sqrt.f64 5) -3/2))))) (/.f64 2 (+.f64 15/2 (.f64 3/2 (-.f64 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) (sqrt.f64 5))))))))
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(/.f64 (+.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x)) (+.f64 (.f64 -1/16 (sin.f64 x)) (sin.f64 y))))) 2) (+.f64 3 (+.f64 (.f64 (cos.f64 y) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5)))) (.f64 3/2 (*.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))))))
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(/.f64 (fma.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)) (fma.f64 -1/16 (sin.f64 x) (sin.f64 y)))) 2) (+.f64 (.f64 (cos.f64 x) (+.f64 (.f64 3/2 (sqrt.f64 5)) -3/2)) (fma.f64 (+.f64 9/2 (*.f64 (sqrt.f64 5) -3/2)) (cos.f64 y) 3)))
(/.f64 (fma.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)) (fma.f64 -1/16 (sin.f64 x) (sin.f64 y)))) 2) (fma.f64 (cos.f64 x) (fma.f64 3/2 (sqrt.f64 5) -3/2) (fma.f64 (fma.f64 (sqrt.f64 5) -3/2 9/2) (cos.f64 y) 3)))
(/.f64 (+.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x)) (+.f64 (.f64 -1/16 (sin.f64 x)) (sin.f64 y))))) 2) (+.f64 3 (+.f64 (.f64 (cos.f64 y) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5)))) (.f64 3/2 (*.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))))))
(/.f64 (fma.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)) (fma.f64 -1/16 (sin.f64 x) (sin.f64 y)))) 2) (+.f64 3 (fma.f64 (cos.f64 y) (+.f64 9/2 (.f64 -3/2 (sqrt.f64 5))) (.f64 3/2 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1))))))
(/.f64 (fma.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)) (fma.f64 -1/16 (sin.f64 x) (sin.f64 y)))) 2) (+.f64 (.f64 (cos.f64 x) (+.f64 (.f64 3/2 (sqrt.f64 5)) -3/2)) (fma.f64 (+.f64 9/2 (*.f64 (sqrt.f64 5) -3/2)) (cos.f64 y) 3)))
(/.f64 (fma.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)) (fma.f64 -1/16 (sin.f64 x) (sin.f64 y)))) 2) (fma.f64 (cos.f64 x) (fma.f64 3/2 (sqrt.f64 5) -3/2) (fma.f64 (fma.f64 (sqrt.f64 5) -3/2 9/2) (cos.f64 y) 3)))
(/.f64 (+.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x)) (+.f64 (.f64 -1/16 (sin.f64 x)) (sin.f64 y))))) 2) (+.f64 3 (+.f64 (.f64 (cos.f64 y) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5)))) (.f64 3/2 (*.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))))))
(/.f64 (fma.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)) (fma.f64 -1/16 (sin.f64 x) (sin.f64 y)))) 2) (+.f64 3 (fma.f64 (cos.f64 y) (+.f64 9/2 (.f64 -3/2 (sqrt.f64 5))) (.f64 3/2 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1))))))
(/.f64 (fma.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)) (fma.f64 -1/16 (sin.f64 x) (sin.f64 y)))) 2) (+.f64 (.f64 (cos.f64 x) (+.f64 (.f64 3/2 (sqrt.f64 5)) -3/2)) (fma.f64 (+.f64 9/2 (*.f64 (sqrt.f64 5) -3/2)) (cos.f64 y) 3)))
(/.f64 (fma.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)) (fma.f64 -1/16 (sin.f64 x) (sin.f64 y)))) 2) (fma.f64 (cos.f64 x) (fma.f64 3/2 (sqrt.f64 5) -3/2) (fma.f64 (fma.f64 (sqrt.f64 5) -3/2 9/2) (cos.f64 y) 3)))
(/.f64 (+.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x)) (+.f64 (.f64 -1/16 (sin.f64 x)) (sin.f64 y))))) 2) (+.f64 3 (+.f64 (.f64 (cos.f64 y) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5)))) (.f64 3/2 (*.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))))))
(/.f64 (fma.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)) (fma.f64 -1/16 (sin.f64 x) (sin.f64 y)))) 2) (+.f64 3 (fma.f64 (cos.f64 y) (+.f64 9/2 (.f64 -3/2 (sqrt.f64 5))) (.f64 3/2 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1))))))
(/.f64 (fma.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)) (fma.f64 -1/16 (sin.f64 x) (sin.f64 y)))) 2) (+.f64 (.f64 (cos.f64 x) (+.f64 (.f64 3/2 (sqrt.f64 5)) -3/2)) (fma.f64 (+.f64 9/2 (*.f64 (sqrt.f64 5) -3/2)) (cos.f64 y) 3)))
(/.f64 (fma.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)) (fma.f64 -1/16 (sin.f64 x) (sin.f64 y)))) 2) (fma.f64 (cos.f64 x) (fma.f64 3/2 (sqrt.f64 5) -3/2) (fma.f64 (fma.f64 (sqrt.f64 5) -3/2 9/2) (cos.f64 y) 3)))
(/.f64 (+.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x)) (+.f64 (.f64 -1/16 (sin.f64 x)) (sin.f64 y))))) 2) (+.f64 3 (+.f64 (.f64 (cos.f64 y) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5)))) (.f64 3/2 (*.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))))))
(/.f64 (fma.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)) (fma.f64 -1/16 (sin.f64 x) (sin.f64 y)))) 2) (+.f64 3 (fma.f64 (cos.f64 y) (+.f64 9/2 (.f64 -3/2 (sqrt.f64 5))) (.f64 3/2 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1))))))
(/.f64 (fma.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)) (fma.f64 -1/16 (sin.f64 x) (sin.f64 y)))) 2) (+.f64 (.f64 (cos.f64 x) (+.f64 (.f64 3/2 (sqrt.f64 5)) -3/2)) (fma.f64 (+.f64 9/2 (*.f64 (sqrt.f64 5) -3/2)) (cos.f64 y) 3)))
(/.f64 (fma.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)) (fma.f64 -1/16 (sin.f64 x) (sin.f64 y)))) 2) (fma.f64 (cos.f64 x) (fma.f64 3/2 (sqrt.f64 5) -3/2) (fma.f64 (fma.f64 (sqrt.f64 5) -3/2 9/2) (cos.f64 y) 3)))

eval470.0ms (1.3%)

Compiler: Compiled 18043 to 12259 computations (32.1% saved)

prune253.0ms (0.7%)

Pruning

44 alts after pruning (43 fresh and 1 done)

	Pruned	Kept	Total
New	264	43	307
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	265	44	309

Error

0.0b

Counts

309 → 44

Alt Table

Click to see full alt table

Status	Error	Program
	0.4b	(/.f64 (+.f64 2 (/.f64 (.f64 (-.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 y) 2)) (.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)))))
▶	24.9b	(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) 1))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
	0.4b	(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (/.f64 4 (+.f64 3 (sqrt.f64 5))) 2) (cos.f64 y)))))
▶	0.4b	(/.f64 (+.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x)) (+.f64 (.f64 -1/16 (sin.f64 x)) (sin.f64 y))))) 2) (+.f64 3 (+.f64 (.f64 (cos.f64 y) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5)))) (.f64 3/2 (*.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))))))
	0.9b	(.f64 (/.f64 1 (sqrt.f64 (fma.f64 (cos.f64 x) (.f64 (+.f64 (sqrt.f64 5) -1) 3/2) (fma.f64 (cos.f64 y) (-.f64 9/2 (sqrt.f64 45/4)) 3)))) (/.f64 (fma.f64 (sqrt.f64 2) (.f64 (fma.f64 -1/16 (sin.f64 x) (sin.f64 y)) (.f64 (fma.f64 (sin.f64 y) -1/16 (sin.f64 x)) (-.f64 (cos.f64 x) (cos.f64 y)))) 2) (sqrt.f64 (fma.f64 (cos.f64 x) (*.f64 (+.f64 (sqrt.f64 5) -1) 3/2) (fma.f64 (cos.f64 y) (-.f64 9/2 (sqrt.f64 45/4)) 3)))))
	24.0b	(/.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 (.f64 (.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (log1p.f64 (expm1.f64 (-.f64 (cos.f64 x) (cos.f64 y)))))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
	23.5b	(/.f64 (+.f64 2 (.f64 (.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) (sin.f64 y))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (*.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
✓	0.4b	(/.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)))))
	1.5b	(.f64 (/.f64 (sqrt.f64 (fma.f64 (sqrt.f64 2) (.f64 (fma.f64 -1/16 (sin.f64 x) (sin.f64 y)) (.f64 (fma.f64 (sin.f64 y) -1/16 (sin.f64 x)) (-.f64 (cos.f64 x) (cos.f64 y)))) 2)) (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 x) (.f64 (+.f64 (sqrt.f64 5) -1) 3/2) (fma.f64 (cos.f64 y) (-.f64 9/2 (sqrt.f64 45/4)) 3))) 2)) (/.f64 (sqrt.f64 (fma.f64 (sqrt.f64 2) (.f64 (fma.f64 -1/16 (sin.f64 x) (sin.f64 y)) (.f64 (fma.f64 (sin.f64 y) -1/16 (sin.f64 x)) (-.f64 (cos.f64 x) (cos.f64 y)))) 2)) (cbrt.f64 (fma.f64 (cos.f64 x) (*.f64 (+.f64 (sqrt.f64 5) -1) 3/2) (fma.f64 (cos.f64 y) (-.f64 9/2 (sqrt.f64 45/4)) 3)))))
	0.5b	(log.f64 (exp.f64 (/.f64 (fma.f64 (sqrt.f64 2) (.f64 (fma.f64 -1/16 (sin.f64 x) (sin.f64 y)) (.f64 (fma.f64 (sin.f64 y) -1/16 (sin.f64 x)) (-.f64 (cos.f64 x) (cos.f64 y)))) 2) (fma.f64 (cos.f64 x) (*.f64 (+.f64 (sqrt.f64 5) -1) 3/2) (fma.f64 (cos.f64 y) (-.f64 9/2 (sqrt.f64 45/4)) 3)))))
	23.5b	(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2))))) (.f64 3 (+.f64 (+.f64 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 x) (sin.f64 y)) (.f64 (fma.f64 (sin.f64 y) -1/16 (sin.f64 x)) (-.f64 (cos.f64 x) (cos.f64 y)))) 2) (/.f64 1 (fma.f64 (cos.f64 x) (.f64 (+.f64 (sqrt.f64 5) -1) 3/2) (fma.f64 (cos.f64 y) (-.f64 9/2 (sqrt.f64 45/4)) 3))))
	0.4b	(/.f64 (+.f64 2 (.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x))) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))))))) (.f64 3 (+.f64 (+.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 (exp.f64 (log1p.f64 (.f64 (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (sqrt.f64 2)) (.f64 (+.f64 (sin.f64 x) (.f64 (sin.f64 y) -1/16)) (+.f64 (sin.f64 y) (.f64 (sin.f64 x) -1/16)))))) 1)) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
	0.4b	(pow.f64 (/.f64 (fma.f64 (cos.f64 x) (.f64 (+.f64 (sqrt.f64 5) -1) 3/2) (fma.f64 (cos.f64 y) (-.f64 9/2 (sqrt.f64 45/4)) 3)) (fma.f64 (sqrt.f64 2) (.f64 (fma.f64 -1/16 (sin.f64 x) (sin.f64 y)) (*.f64 (fma.f64 (sin.f64 y) -1/16 (sin.f64 x)) (-.f64 (cos.f64 x) (cos.f64 y)))) 2)) -1)
	1.3b	(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 x) (.f64 (+.f64 (sqrt.f64 5) -1) 3/2) (fma.f64 (cos.f64 y) (-.f64 9/2 (sqrt.f64 45/4)) 3))) 2)) (/.f64 (fma.f64 (sqrt.f64 2) (.f64 (fma.f64 -1/16 (sin.f64 x) (sin.f64 y)) (.f64 (fma.f64 (sin.f64 y) -1/16 (sin.f64 x)) (-.f64 (cos.f64 x) (cos.f64 y)))) 2) (cbrt.f64 (fma.f64 (cos.f64 x) (*.f64 (+.f64 (sqrt.f64 5) -1) 3/2) (fma.f64 (cos.f64 y) (-.f64 9/2 (sqrt.f64 45/4)) 3)))))
	0.4b	(/.f64 (+.f64 2 (pow.f64 (cbrt.f64 (.f64 (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (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 3 (+.f64 (+.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	(pow.f64 (sqrt.f64 (/.f64 (fma.f64 (sqrt.f64 2) (.f64 (fma.f64 -1/16 (sin.f64 x) (sin.f64 y)) (.f64 (fma.f64 (sin.f64 y) -1/16 (sin.f64 x)) (-.f64 (cos.f64 x) (cos.f64 y)))) 2) (fma.f64 (cos.f64 x) (*.f64 (+.f64 (sqrt.f64 5) -1) 3/2) (fma.f64 (cos.f64 y) (-.f64 9/2 (sqrt.f64 45/4)) 3)))) 2)
▶	27.9b	(+.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (.f64 (+.f64 (.f64 1/256 (sin.f64 y)) (sin.f64 y)) x))) (+.f64 (.f64 3/2 (-.f64 (sqrt.f64 5) 1)) (+.f64 3 (.f64 (cos.f64 y) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5))))))) (+.f64 (.f64 -1/16 (/.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2))) (+.f64 (.f64 3/2 (-.f64 (sqrt.f64 5) 1)) (+.f64 3 (.f64 (cos.f64 y) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5)))))))) (.f64 2 (/.f64 1 (+.f64 (.f64 3/2 (-.f64 (sqrt.f64 5) 1)) (+.f64 3 (.f64 (cos.f64 y) (-.f64 9/2 (*.f64 3/2 (sqrt.f64 5))))))))))
	1.4b	(pow.f64 (cbrt.f64 (/.f64 (fma.f64 (sqrt.f64 2) (.f64 (fma.f64 -1/16 (sin.f64 x) (sin.f64 y)) (.f64 (fma.f64 (sin.f64 y) -1/16 (sin.f64 x)) (-.f64 (cos.f64 x) (cos.f64 y)))) 2) (fma.f64 (cos.f64 x) (*.f64 (+.f64 (sqrt.f64 5) -1) 3/2) (fma.f64 (cos.f64 y) (-.f64 9/2 (sqrt.f64 45/4)) 3)))) 3)
	0.4b	(/.f64 (fma.f64 (sqrt.f64 2) (.f64 (+.f64 (sin.f64 y) (.f64 -1/16 (sin.f64 x))) (.f64 (+.f64 (sin.f64 x) (.f64 -1/16 (sin.f64 y))) (-.f64 (cos.f64 x) (cos.f64 y)))) 2) (fma.f64 (cos.f64 x) (/.f64 (+.f64 (sqrt.f64 5) -1) 2/3) (fma.f64 (cos.f64 y) (+.f64 9/2 (neg.f64 (sqrt.f64 45/4))) 3)))
	0.4b	(log1p.f64 (expm1.f64 (/.f64 (fma.f64 (sqrt.f64 2) (.f64 (fma.f64 -1/16 (sin.f64 x) (sin.f64 y)) (.f64 (fma.f64 (sin.f64 y) -1/16 (sin.f64 x)) (-.f64 (cos.f64 x) (cos.f64 y)))) 2) (fma.f64 (cos.f64 x) (*.f64 (+.f64 (sqrt.f64 5) -1) 3/2) (fma.f64 (cos.f64 y) (-.f64 9/2 (sqrt.f64 45/4)) 3)))))
	0.5b	(/.f64 (fma.f64 (sqrt.f64 2) (.f64 (+.f64 (sin.f64 y) (.f64 -1/16 (sin.f64 x))) (.f64 (+.f64 (sin.f64 x) (.f64 -1/16 (sin.f64 y))) (-.f64 (cos.f64 x) (cos.f64 y)))) 2) (fma.f64 (cos.f64 x) (pow.f64 (/.f64 2/3 (+.f64 (sqrt.f64 5) -1)) -1) (fma.f64 (cos.f64 y) (-.f64 9/2 (/.f64 (sqrt.f64 5) 2/3)) 3)))
	29.2b	(+.f64 (.f64 2 (/.f64 1 (-.f64 (+.f64 15/2 (.f64 3/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))) (.f64 3/2 (sqrt.f64 5))))) (+.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 y (.f64 (-.f64 (cos.f64 x) 1) (+.f64 (.f64 1/256 (sin.f64 x)) (sin.f64 x))))) (-.f64 (+.f64 15/2 (.f64 3/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))) (.f64 3/2 (sqrt.f64 5)))) (.f64 -1/16 (/.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))) (-.f64 (+.f64 15/2 (.f64 3/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))) (*.f64 3/2 (sqrt.f64 5)))))))
	0.4b	(/.f64 (fma.f64 (sqrt.f64 2) (.f64 (+.f64 (sin.f64 y) (.f64 -1/16 (sin.f64 x))) (.f64 (+.f64 (sin.f64 x) (.f64 -1/16 (sin.f64 y))) (log1p.f64 (expm1.f64 (-.f64 (cos.f64 x) (cos.f64 y)))))) 2) (fma.f64 (cos.f64 x) (/.f64 (+.f64 (sqrt.f64 5) -1) 2/3) (fma.f64 (cos.f64 y) (-.f64 9/2 (/.f64 (sqrt.f64 5) 2/3)) 3)))
	0.4b	(expm1.f64 (log1p.f64 (/.f64 (fma.f64 (sqrt.f64 2) (.f64 (fma.f64 -1/16 (sin.f64 x) (sin.f64 y)) (.f64 (fma.f64 (sin.f64 y) -1/16 (sin.f64 x)) (-.f64 (cos.f64 x) (cos.f64 y)))) 2) (fma.f64 (cos.f64 x) (*.f64 (+.f64 (sqrt.f64 5) -1) 3/2) (fma.f64 (cos.f64 y) (-.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 (log.f64 (exp.f64 (-.f64 3 (sqrt.f64 5)))) 2) (cos.f64 y)))))
	24.9b	(/.f64 (+.f64 2 (.f64 (+.f64 1/16 (.f64 (cos.f64 x) -1/16)) (.f64 (sqrt.f64 2) (pow.f64 (sin.f64 x) 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)))))
	25.4b	(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2))))) (+.f64 (.f64 3/2 (-.f64 (sqrt.f64 5) 1)) (+.f64 3 (.f64 (cos.f64 y) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5)))))))
	24.9b	(/.f64 (fma.f64 (sqrt.f64 2) (.f64 (+.f64 (sin.f64 y) (.f64 -1/16 (sin.f64 x))) (.f64 (+.f64 (sin.f64 x) (.f64 -1/16 (sin.f64 y))) (-.f64 (cos.f64 x) 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)))
	26.5b	(/.f64 (fma.f64 (sqrt.f64 2) (*.f64 (pow.f64 (sin.f64 x) 2) (fma.f64 -1/16 (cos.f64 x) 1/16)) 2) (fma.f64 (sqrt.f64 5) -3/2 (fma.f64 (cos.f64 x) (fma.f64 3/2 (sqrt.f64 5) -3/2) 15/2)))
	32.8b	(/.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)))))
	26.5b	(/.f64 (+.f64 2 (.f64 (.f64 (-.f64 1 (cos.f64 y)) (sqrt.f64 2)) (+.f64 (.f64 -1/16 (pow.f64 (sin.f64 y) 2)) (.f64 257/256 (.f64 x (sin.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)))))
	30.9b	(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 -1/16 (sin.f64 y)) 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)))))
	23.4b	(/.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 1 (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
	0.6b	(cbrt.f64 (/.f64 (pow.f64 (fma.f64 (sqrt.f64 2) (.f64 (fma.f64 -1/16 (sin.f64 x) (sin.f64 y)) (.f64 (fma.f64 (sin.f64 y) -1/16 (sin.f64 x)) (-.f64 (cos.f64 x) (cos.f64 y)))) 2) 3) (pow.f64 (fma.f64 (cos.f64 x) (*.f64 (+.f64 (sqrt.f64 5) -1) 3/2) (fma.f64 (cos.f64 y) (-.f64 9/2 (sqrt.f64 45/4)) 3)) 3)))
	0.4b	(/.f64 (fma.f64 (sqrt.f64 2) (.f64 (+.f64 (sin.f64 y) (.f64 -1/16 (sin.f64 x))) (.f64 (+.f64 (sin.f64 x) (.f64 -1/16 (sin.f64 y))) (-.f64 (cos.f64 x) (cos.f64 y)))) 2) (fma.f64 (cos.f64 x) (pow.f64 (cbrt.f64 (*.f64 (+.f64 (sqrt.f64 5) -1) 3/2)) 3) (fma.f64 (cos.f64 y) (-.f64 9/2 (/.f64 (sqrt.f64 5) 2/3)) 3)))
▶	26.5b	(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (.f64 3/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))) (.f64 3/2 (sqrt.f64 5))))
	0.4b	(/.f64 (+.f64 2 (.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 (sqrt.f64 2) (+.f64 (sin.f64 x) (.f64 (sin.f64 y) -1/16)))) 3) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (*.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
	0.8b	(cbrt.f64 (pow.f64 (/.f64 (fma.f64 (sqrt.f64 2) (.f64 (fma.f64 -1/16 (sin.f64 x) (sin.f64 y)) (.f64 (fma.f64 (sin.f64 y) -1/16 (sin.f64 x)) (-.f64 (cos.f64 x) (cos.f64 y)))) 2) (fma.f64 (cos.f64 x) (*.f64 (+.f64 (sqrt.f64 5) -1) 3/2) (fma.f64 (cos.f64 y) (-.f64 9/2 (sqrt.f64 45/4)) 3))) 3))
	0.9b	(-.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 (sqrt.f64 2) (.f64 (fma.f64 -1/16 (sin.f64 x) (sin.f64 y)) (.f64 (fma.f64 (sin.f64 y) -1/16 (sin.f64 x)) (-.f64 (cos.f64 x) (cos.f64 y)))) 2) (fma.f64 (cos.f64 x) (*.f64 (+.f64 (sqrt.f64 5) -1) 3/2) (fma.f64 (cos.f64 y) (-.f64 9/2 (sqrt.f64 45/4)) 3))))) 1)
	0.4b	(/.f64 (fma.f64 (sqrt.f64 2) (.f64 (+.f64 (sin.f64 y) (.f64 -1/16 (sin.f64 x))) (.f64 (+.f64 (sin.f64 x) (.f64 -1/16 (sin.f64 y))) (-.f64 (cos.f64 x) (cos.f64 y)))) 2) (fma.f64 (cos.f64 x) (/.f64 (+.f64 (sqrt.f64 5) -1) 2/3) (fma.f64 (cos.f64 y) (/.f64 9 (+.f64 9/2 (sqrt.f64 45/4))) 3)))
	12.1b	(/.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 (.f64 (sin.f64 (.f64 (-.f64 x y) 1/2)) (sin.f64 (.f64 (+.f64 x y) 1/2))) -2))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))

Compiler

Compiled 4534 to 3528 computations (22.2% saved)

localize264.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x)) (+.f64 (*.f64 -1/16 (sin.f64 x)) (sin.f64 y)))))
✓	0.7b	(.f64 3/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))
✓	1.0b	(-.f64 9/2 (*.f64 3/2 (sqrt.f64 5)))
	2.6b	(-.f64 (cos.f64 x) (cos.f64 y))

Compiler

Compiled 263 to 163 computations (38% saved)

series6.0ms (0%)

Counts

3 → 12

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x)) (+.f64 (*.f64 -1/16 (sin.f64 x)) (sin.f64 y)))))
1.0ms	y	@	-inf	(.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x)) (+.f64 (*.f64 -1/16 (sin.f64 x)) (sin.f64 y)))))
1.0ms	x	@	0	(.f64 3/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))
1.0ms	x	@	-inf	(.f64 3/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))
1.0ms	x	@	inf	(.f64 3/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))

rewrite81.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

324×	`add-sqr-sqrt_binary64`
308×	`*-un-lft-identity_binary64`
308×	`pow1_binary64`
302×	`add-cbrt-cube_binary64`
302×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	28	58
1	633	52

Stop Event

1×	node limit

Counts

3 → 60

Calls

Call 1

Inputs

(-.f64 9/2 (*.f64 3/2 (sqrt.f64 5)))

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

(*.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)))))

Outputs

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

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

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

simplify168.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

711×	`fma-def_binary64`
682×	`associate-l_binary64`
639×	`associate-r_binary64`
426×	`distribute-lft-in_binary64`
426×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	100	609
1	306	597
2	1188	518
3	6479	518
4	7128	518

Stop Event

1×	node limit

Counts

72 → 84

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

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 1/16 (.f64 (+.f64 (sqrt.f64 5) -1) (pow.f64 x 4)) (.f64 (+.f64 (sqrt.f64 5) -1) (.f64 (.f64 x x) -3/4))))
(fma.f64 (.f64 x x) (fma.f64 (sqrt.f64 5) -3/4 3/4) (.f64 (+.f64 (sqrt.f64 5) -1) (+.f64 3/2 (*.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 1/16 (.f64 (+.f64 (sqrt.f64 5) -1) (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 -1/16 (.f64 (sqrt.f64 2) (*.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2))))
(.f64 -1/16 (.f64 (*.f64 (sqrt.f64 2) (-.f64 1 (cos.f64 y))) (pow.f64 (sin.f64 y) 2)))
(.f64 -1/16 (.f64 (pow.f64 (sin.f64 y) 2) (*.f64 (sqrt.f64 2) (-.f64 1 (cos.f64 y)))))
(.f64 -1/16 (.f64 (-.f64 1 (cos.f64 y)) (*.f64 (sqrt.f64 2) (pow.f64 (sin.f64 y) 2))))
(+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2)))) (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (.f64 (+.f64 (*.f64 1/256 (sin.f64 y)) (sin.f64 y)) x))))
(fma.f64 -1/16 (.f64 (.f64 (sqrt.f64 2) (-.f64 1 (cos.f64 y))) (pow.f64 (sin.f64 y) 2)) (.f64 (.f64 (sqrt.f64 2) (-.f64 1 (cos.f64 y))) (.f64 x (.f64 257/256 (sin.f64 y)))))
(fma.f64 -1/16 (.f64 (pow.f64 (sin.f64 y) 2) (.f64 (sqrt.f64 2) (-.f64 1 (cos.f64 y)))) (.f64 (.f64 (.f64 x 257/256) (sin.f64 y)) (.f64 (sqrt.f64 2) (-.f64 1 (cos.f64 y)))))
(.f64 (.f64 (sqrt.f64 2) (-.f64 1 (cos.f64 y))) (+.f64 (.f64 -1/16 (pow.f64 (sin.f64 y) 2)) (.f64 (sin.f64 y) (*.f64 x 257/256))))
(+.f64 (.f64 (sqrt.f64 2) (.f64 (+.f64 (.f64 1/32 (pow.f64 (sin.f64 y) 2)) (.f64 -1/16 (-.f64 1 (cos.f64 y)))) (pow.f64 x 2))) (+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2)))) (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (.f64 (+.f64 (*.f64 1/256 (sin.f64 y)) (sin.f64 y)) x)))))
(fma.f64 (sqrt.f64 2) (.f64 (.f64 x x) (fma.f64 1/32 (pow.f64 (sin.f64 y) 2) (.f64 -1/16 (-.f64 1 (cos.f64 y))))) (fma.f64 -1/16 (.f64 (.f64 (sqrt.f64 2) (-.f64 1 (cos.f64 y))) (pow.f64 (sin.f64 y) 2)) (.f64 (.f64 (sqrt.f64 2) (-.f64 1 (cos.f64 y))) (.f64 x (*.f64 257/256 (sin.f64 y))))))
(fma.f64 (sqrt.f64 2) (.f64 (.f64 x x) (fma.f64 -1/16 (-.f64 1 (cos.f64 y)) (.f64 (pow.f64 (sin.f64 y) 2) 1/32))) (fma.f64 -1/16 (.f64 (pow.f64 (sin.f64 y) 2) (.f64 (sqrt.f64 2) (-.f64 1 (cos.f64 y)))) (.f64 (.f64 (.f64 x 257/256) (sin.f64 y)) (*.f64 (sqrt.f64 2) (-.f64 1 (cos.f64 y))))))
(fma.f64 (.f64 x x) (.f64 (sqrt.f64 2) (fma.f64 -1/16 (-.f64 1 (cos.f64 y)) (.f64 (pow.f64 (sin.f64 y) 2) 1/32))) (.f64 (.f64 (sqrt.f64 2) (-.f64 1 (cos.f64 y))) (+.f64 (.f64 -1/16 (pow.f64 (sin.f64 y) 2)) (.f64 (sin.f64 y) (.f64 x 257/256)))))
(fma.f64 (.f64 x x) (.f64 (sqrt.f64 2) (fma.f64 (pow.f64 (sin.f64 y) 2) 1/32 (-.f64 -1/16 (.f64 -1/16 (cos.f64 y))))) (.f64 (.f64 (sqrt.f64 2) (-.f64 1 (cos.f64 y))) (+.f64 (.f64 -1/16 (pow.f64 (sin.f64 y) 2)) (.f64 (sin.f64 y) (.f64 x 257/256)))))
(+.f64 (.f64 (sqrt.f64 2) (.f64 (+.f64 (.f64 1/32 (pow.f64 (sin.f64 y) 2)) (.f64 -1/16 (-.f64 1 (cos.f64 y)))) (pow.f64 x 2))) (+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2)))) (+.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (.f64 (+.f64 (.f64 1/256 (sin.f64 y)) (sin.f64 y)) x))) (.f64 (sqrt.f64 2) (.f64 (+.f64 (.f64 (-.f64 1 (cos.f64 y)) (+.f64 (.f64 -1/1536 (sin.f64 y)) (.f64 -1/6 (sin.f64 y)))) (.f64 -1/2 (+.f64 (.f64 1/256 (sin.f64 y)) (sin.f64 y)))) (pow.f64 x 3))))))
(fma.f64 (sqrt.f64 2) (.f64 (.f64 x x) (fma.f64 1/32 (pow.f64 (sin.f64 y) 2) (.f64 -1/16 (-.f64 1 (cos.f64 y))))) (fma.f64 -1/16 (.f64 (.f64 (sqrt.f64 2) (-.f64 1 (cos.f64 y))) (pow.f64 (sin.f64 y) 2)) (.f64 (sqrt.f64 2) (+.f64 (.f64 (-.f64 1 (cos.f64 y)) (.f64 x (.f64 257/256 (sin.f64 y)))) (.f64 (fma.f64 (-.f64 1 (cos.f64 y)) (.f64 (sin.f64 y) -257/1536) (.f64 (*.f64 257/256 (sin.f64 y)) -1/2)) (pow.f64 x 3))))))
(fma.f64 (sqrt.f64 2) (.f64 (.f64 x x) (fma.f64 -1/16 (-.f64 1 (cos.f64 y)) (.f64 (pow.f64 (sin.f64 y) 2) 1/32))) (fma.f64 (sqrt.f64 2) (fma.f64 (-.f64 1 (cos.f64 y)) (.f64 (.f64 x 257/256) (sin.f64 y)) (.f64 (fma.f64 (-.f64 1 (cos.f64 y)) (.f64 (sin.f64 y) -257/1536) (.f64 -257/512 (sin.f64 y))) (pow.f64 x 3))) (.f64 -1/16 (.f64 (pow.f64 (sin.f64 y) 2) (*.f64 (sqrt.f64 2) (-.f64 1 (cos.f64 y)))))))
(+.f64 (.f64 (.f64 (sqrt.f64 2) (-.f64 1 (cos.f64 y))) (+.f64 (.f64 -1/16 (pow.f64 (sin.f64 y) 2)) (.f64 (sin.f64 y) (.f64 x 257/256)))) (.f64 (sqrt.f64 2) (+.f64 (.f64 (fma.f64 (-.f64 1 (cos.f64 y)) (.f64 (sin.f64 y) -257/1536) (.f64 (sin.f64 y) -257/512)) (pow.f64 x 3)) (.f64 (.f64 x x) (fma.f64 -1/16 (-.f64 1 (cos.f64 y)) (.f64 (pow.f64 (sin.f64 y) 2) 1/32))))))
(+.f64 (.f64 (.f64 (sqrt.f64 2) (-.f64 1 (cos.f64 y))) (+.f64 (.f64 -1/16 (pow.f64 (sin.f64 y) 2)) (.f64 (sin.f64 y) (.f64 x 257/256)))) (.f64 (sqrt.f64 2) (+.f64 (.f64 (fma.f64 (-.f64 1 (cos.f64 y)) (.f64 (sin.f64 y) -257/1536) (.f64 (sin.f64 y) -257/512)) (pow.f64 x 3)) (.f64 (.f64 x x) (fma.f64 (pow.f64 (sin.f64 y) 2) 1/32 (-.f64 -1/16 (.f64 -1/16 (cos.f64 y))))))))
(.f64 -1/16 (.f64 (sqrt.f64 2) (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))
(.f64 -1/16 (.f64 (*.f64 (sqrt.f64 2) (pow.f64 (sin.f64 x) 2)) (+.f64 (cos.f64 x) -1)))
(.f64 (.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1)) (*.f64 -1/16 (sqrt.f64 2)))
(.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (fma.f64 -1/16 (cos.f64 x) 1/16)))
(+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1)))) (.f64 (sqrt.f64 2) (.f64 y (.f64 (-.f64 (cos.f64 x) 1) (+.f64 (*.f64 1/256 (sin.f64 x)) (sin.f64 x))))))
(fma.f64 -1/16 (.f64 (.f64 (sqrt.f64 2) (pow.f64 (sin.f64 x) 2)) (+.f64 (cos.f64 x) -1)) (.f64 (.f64 (sqrt.f64 2) y) (.f64 (+.f64 (cos.f64 x) -1) (.f64 257/256 (sin.f64 x)))))
(fma.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1))) (.f64 (sqrt.f64 2) (.f64 (+.f64 (cos.f64 x) -1) (.f64 (.f64 (sin.f64 x) 257/256) y))))
(.f64 (+.f64 (cos.f64 x) -1) (+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) (pow.f64 (sin.f64 x) 2))) (.f64 (sqrt.f64 2) (.f64 y (.f64 (sin.f64 x) 257/256)))))
(+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1)))) (+.f64 (.f64 (sqrt.f64 2) (.f64 y (.f64 (-.f64 (cos.f64 x) 1) (+.f64 (.f64 1/256 (sin.f64 x)) (sin.f64 x))))) (.f64 (sqrt.f64 2) (.f64 (pow.f64 y 2) (+.f64 (.f64 -1/32 (pow.f64 (sin.f64 x) 2)) (*.f64 -1/16 (-.f64 (cos.f64 x) 1)))))))
(fma.f64 -1/16 (.f64 (.f64 (sqrt.f64 2) (pow.f64 (sin.f64 x) 2)) (+.f64 (cos.f64 x) -1)) (.f64 (sqrt.f64 2) (+.f64 (.f64 y (.f64 (+.f64 (cos.f64 x) -1) (.f64 257/256 (sin.f64 x)))) (.f64 (.f64 y y) (fma.f64 -1/32 (pow.f64 (sin.f64 x) 2) (*.f64 -1/16 (+.f64 (cos.f64 x) -1)))))))
(fma.f64 (sqrt.f64 2) (fma.f64 y (.f64 (+.f64 (cos.f64 x) -1) (.f64 (sin.f64 x) 257/256)) (.f64 y (.f64 y (fma.f64 -1/16 (+.f64 (cos.f64 x) -1) (.f64 (pow.f64 (sin.f64 x) 2) -1/32))))) (.f64 (.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1)) (.f64 -1/16 (sqrt.f64 2))))
(.f64 (sqrt.f64 2) (+.f64 (.f64 (pow.f64 (sin.f64 x) 2) (fma.f64 -1/16 (cos.f64 x) 1/16)) (.f64 y (+.f64 (.f64 (sin.f64 x) (.f64 (+.f64 (cos.f64 x) -1) 257/256)) (.f64 y (fma.f64 (pow.f64 (sin.f64 x) 2) -1/32 (fma.f64 -1/16 (cos.f64 x) 1/16)))))))
(+.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 y 3) (+.f64 (.f64 1/2 (+.f64 (.f64 1/256 (sin.f64 x)) (sin.f64 x))) (.f64 (+.f64 (.f64 -1/1536 (sin.f64 x)) (.f64 -1/6 (sin.f64 x))) (-.f64 (cos.f64 x) 1))))) (+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1)))) (+.f64 (.f64 (sqrt.f64 2) (.f64 y (.f64 (-.f64 (cos.f64 x) 1) (+.f64 (.f64 1/256 (sin.f64 x)) (sin.f64 x))))) (.f64 (sqrt.f64 2) (.f64 (pow.f64 y 2) (+.f64 (.f64 -1/32 (pow.f64 (sin.f64 x) 2)) (.f64 -1/16 (-.f64 (cos.f64 x) 1))))))))
(fma.f64 (sqrt.f64 2) (.f64 (pow.f64 y 3) (fma.f64 1/2 (.f64 257/256 (sin.f64 x)) (.f64 (+.f64 (cos.f64 x) -1) (.f64 (sin.f64 x) -257/1536)))) (fma.f64 -1/16 (.f64 (.f64 (sqrt.f64 2) (pow.f64 (sin.f64 x) 2)) (+.f64 (cos.f64 x) -1)) (.f64 (sqrt.f64 2) (+.f64 (.f64 y (.f64 (+.f64 (cos.f64 x) -1) (.f64 257/256 (sin.f64 x)))) (.f64 (.f64 y y) (fma.f64 -1/32 (pow.f64 (sin.f64 x) 2) (*.f64 -1/16 (+.f64 (cos.f64 x) -1))))))))
(fma.f64 (sqrt.f64 2) (.f64 (pow.f64 y 3) (fma.f64 (+.f64 (cos.f64 x) -1) (.f64 (sin.f64 x) -257/1536) (.f64 257/512 (sin.f64 x)))) (fma.f64 (sqrt.f64 2) (fma.f64 y (.f64 (+.f64 (cos.f64 x) -1) (.f64 (sin.f64 x) 257/256)) (.f64 y (.f64 y (fma.f64 -1/16 (+.f64 (cos.f64 x) -1) (.f64 (pow.f64 (sin.f64 x) 2) -1/32))))) (.f64 (.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1)) (*.f64 -1/16 (sqrt.f64 2)))))
(fma.f64 (sqrt.f64 2) (.f64 (pow.f64 y 3) (fma.f64 (sin.f64 x) (+.f64 (.f64 (cos.f64 x) -257/1536) 257/1536) (.f64 (sin.f64 x) 257/512))) (.f64 (sqrt.f64 2) (+.f64 (.f64 (pow.f64 (sin.f64 x) 2) (fma.f64 -1/16 (cos.f64 x) 1/16)) (.f64 y (+.f64 (.f64 (sin.f64 x) (.f64 (+.f64 (cos.f64 x) -1) 257/256)) (*.f64 y (fma.f64 (pow.f64 (sin.f64 x) 2) -1/32 (fma.f64 -1/16 (cos.f64 x) 1/16))))))))

localize190.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(pow.f64 (sin.f64 x) 2)
✓	0.3b	(*.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))
	0.7b	(.f64 3/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))
✓	2.0b	(-.f64 (cos.f64 x) 1)

Compiler

Compiled 160 to 123 computations (23.1% saved)

series4.0ms (0%)

Counts

3 → 12

Calls

9 calls:

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

rewrite200.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

473×	`log-prod_binary64`
367×	`exp-prod_binary64`
290×	`pow-prod-down_binary64`
284×	`pow2_binary64`
197×	`expm1-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	23
1	257	23
2	3013	23

Stop Event

1×	node limit

Counts

3 → 109

Calls

Call 1

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

Outputs

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

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

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

simplify47.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

586×	`distribute-lft-out_binary64`
497×	`associate--l+_binary64`
466×	`associate-+l+_binary64`
397×	`*-commutative_binary64`
369×	`associate-+r+_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	53	248
1	141	246
2	397	224
3	1440	216
4	4016	211

Stop Event

1×	node limit

Counts

121 → 133

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 (sqrt.f64 5) 1)
(-.f64 (+.f64 (sqrt.f64 5) (.f64 -1/2 (.f64 (-.f64 (sqrt.f64 5) 1) (pow.f64 x 2)))) 1)
(-.f64 (+.f64 (sqrt.f64 5) (+.f64 (.f64 -1/2 (.f64 (-.f64 (sqrt.f64 5) 1) (pow.f64 x 2))) (.f64 1/24 (.f64 (-.f64 (sqrt.f64 5) 1) (pow.f64 x 4))))) 1)
(-.f64 (+.f64 (sqrt.f64 5) (+.f64 (.f64 -1/720 (.f64 (-.f64 (sqrt.f64 5) 1) (pow.f64 x 6))) (+.f64 (.f64 -1/2 (.f64 (-.f64 (sqrt.f64 5) 1) (pow.f64 x 2))) (.f64 1/24 (.f64 (-.f64 (sqrt.f64 5) 1) (pow.f64 x 4)))))) 1)
(pow.f64 x 2)
(+.f64 (*.f64 -1/3 (pow.f64 x 4)) (pow.f64 x 2))
(+.f64 (.f64 -1/3 (pow.f64 x 4)) (+.f64 (.f64 2/45 (pow.f64 x 6)) (pow.f64 x 2)))
(+.f64 (.f64 -1/3 (pow.f64 x 4)) (+.f64 (.f64 -1/315 (pow.f64 x 8)) (+.f64 (*.f64 2/45 (pow.f64 x 6)) (pow.f64 x 2))))

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 1/24 (pow.f64 x 4)) (+.f64 (.f64 -1/2 (pow.f64 x 2)) (*.f64 -1/720 (pow.f64 x 6))))
(fma.f64 1/24 (pow.f64 x 4) (fma.f64 -1/2 (.f64 x x) (.f64 -1/720 (pow.f64 x 6))))
(fma.f64 1/24 (pow.f64 x 4) (fma.f64 -1/720 (pow.f64 x 6) (.f64 -1/2 (.f64 x x))))
(fma.f64 -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 -1/2 (.f64 x x) (fma.f64 1/24 (pow.f64 x 4) (fma.f64 -1/720 (pow.f64 x 6) (.f64 1/40320 (pow.f64 x 8)))))
(fma.f64 1/24 (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)))))
(-.f64 (sqrt.f64 5) 1)
(+.f64 (sqrt.f64 5) -1)
(-.f64 (+.f64 (sqrt.f64 5) (.f64 -1/2 (.f64 (-.f64 (sqrt.f64 5) 1) (pow.f64 x 2)))) 1)
(+.f64 (+.f64 (sqrt.f64 5) (.f64 -1/2 (.f64 (*.f64 x x) (+.f64 (sqrt.f64 5) -1)))) -1)
(+.f64 (sqrt.f64 5) (fma.f64 -1/2 (.f64 (.f64 x x) (+.f64 (sqrt.f64 5) -1)) -1))
(.f64 (+.f64 (.f64 -1/2 (*.f64 x x)) 1) (+.f64 (sqrt.f64 5) -1))
(.f64 (+.f64 (sqrt.f64 5) -1) (+.f64 (.f64 -1/2 (*.f64 x x)) 1))
(-.f64 (+.f64 (sqrt.f64 5) (+.f64 (.f64 -1/2 (.f64 (-.f64 (sqrt.f64 5) 1) (pow.f64 x 2))) (.f64 1/24 (.f64 (-.f64 (sqrt.f64 5) 1) (pow.f64 x 4))))) 1)
(+.f64 (sqrt.f64 5) (-.f64 (fma.f64 -1/2 (.f64 (.f64 x x) (+.f64 (sqrt.f64 5) -1)) (.f64 1/24 (.f64 (pow.f64 x 4) (+.f64 (sqrt.f64 5) -1)))) 1))
(+.f64 (sqrt.f64 5) (+.f64 (.f64 (.f64 1/24 (pow.f64 x 4)) (+.f64 (sqrt.f64 5) -1)) (fma.f64 -1/2 (.f64 (.f64 x x) (+.f64 (sqrt.f64 5) -1)) -1)))
(+.f64 (sqrt.f64 5) (+.f64 (.f64 (+.f64 (sqrt.f64 5) -1) (fma.f64 -1/2 (.f64 x x) (*.f64 1/24 (pow.f64 x 4)))) -1))
(.f64 (+.f64 (sqrt.f64 5) -1) (+.f64 (+.f64 (.f64 -1/2 (.f64 x x)) 1) (.f64 1/24 (pow.f64 x 4))))
(.f64 (+.f64 (fma.f64 1/24 (pow.f64 x 4) (.f64 -1/2 (*.f64 x x))) 1) (+.f64 (sqrt.f64 5) -1))
(-.f64 (+.f64 (sqrt.f64 5) (+.f64 (.f64 -1/720 (.f64 (-.f64 (sqrt.f64 5) 1) (pow.f64 x 6))) (+.f64 (.f64 -1/2 (.f64 (-.f64 (sqrt.f64 5) 1) (pow.f64 x 2))) (.f64 1/24 (.f64 (-.f64 (sqrt.f64 5) 1) (pow.f64 x 4)))))) 1)
(+.f64 (+.f64 (sqrt.f64 5) (fma.f64 -1/720 (.f64 (pow.f64 x 6) (+.f64 (sqrt.f64 5) -1)) (fma.f64 -1/2 (.f64 (.f64 x x) (+.f64 (sqrt.f64 5) -1)) (.f64 1/24 (*.f64 (pow.f64 x 4) (+.f64 (sqrt.f64 5) -1)))))) -1)
(+.f64 (fma.f64 -1/720 (.f64 (pow.f64 x 6) (+.f64 (sqrt.f64 5) -1)) (fma.f64 -1/2 (.f64 (.f64 x x) (+.f64 (sqrt.f64 5) -1)) (.f64 (*.f64 1/24 (pow.f64 x 4)) (+.f64 (sqrt.f64 5) -1)))) (+.f64 (sqrt.f64 5) -1))
(+.f64 (.f64 (+.f64 (sqrt.f64 5) -1) (fma.f64 1/24 (pow.f64 x 4) (.f64 -1/720 (pow.f64 x 6)))) (.f64 (+.f64 (.f64 -1/2 (*.f64 x x)) 1) (+.f64 (sqrt.f64 5) -1)))
(+.f64 (sqrt.f64 5) (+.f64 (.f64 (+.f64 (sqrt.f64 5) -1) (fma.f64 -1/2 (.f64 x x) (fma.f64 1/24 (pow.f64 x 4) (*.f64 -1/720 (pow.f64 x 6))))) -1))
(.f64 (+.f64 (sqrt.f64 5) -1) (+.f64 (+.f64 (.f64 -1/2 (.f64 x x)) 1) (fma.f64 1/24 (pow.f64 x 4) (.f64 -1/720 (pow.f64 x 6)))))
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (*.f64 -1/3 (pow.f64 x 4)) (pow.f64 x 2))
(fma.f64 -1/3 (pow.f64 x 4) (*.f64 x x))
(fma.f64 x x (*.f64 (pow.f64 x 4) -1/3))
(+.f64 (.f64 -1/3 (pow.f64 x 4)) (+.f64 (.f64 2/45 (pow.f64 x 6)) (pow.f64 x 2)))
(fma.f64 -1/3 (pow.f64 x 4) (fma.f64 2/45 (pow.f64 x 6) (*.f64 x x)))
(fma.f64 (pow.f64 x 4) -1/3 (fma.f64 x x (*.f64 (pow.f64 x 6) 2/45)))
(fma.f64 x x (fma.f64 (pow.f64 x 4) -1/3 (*.f64 (pow.f64 x 6) 2/45)))
(fma.f64 x x (fma.f64 (pow.f64 x 6) 2/45 (*.f64 (pow.f64 x 4) -1/3)))
(+.f64 (.f64 -1/3 (pow.f64 x 4)) (+.f64 (.f64 -1/315 (pow.f64 x 8)) (+.f64 (*.f64 2/45 (pow.f64 x 6)) (pow.f64 x 2))))
(fma.f64 -1/3 (pow.f64 x 4) (fma.f64 -1/315 (pow.f64 x 8) (fma.f64 2/45 (pow.f64 x 6) (*.f64 x x))))
(fma.f64 (pow.f64 x 4) -1/3 (fma.f64 (pow.f64 x 8) -1/315 (fma.f64 x x (*.f64 (pow.f64 x 6) 2/45))))
(fma.f64 (pow.f64 x 4) -1/3 (fma.f64 x x (fma.f64 (pow.f64 x 6) 2/45 (*.f64 (pow.f64 x 8) -1/315))))

localize244.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(*.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))
	0.4b	(*.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)))
	1.0b	(-.f64 3 (sqrt.f64 5))
	2.0b	(-.f64 (cos.f64 x) 1)

Compiler

Compiled 265 to 185 computations (30.2% saved)

series2.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite67.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

969×	`pow1_binary64`
908×	`add-log-exp_binary64`
906×	`log1p-expm1-u_binary64`
906×	`expm1-log1p-u_binary64`
104×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	14
1	217	14
2	2554	14

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

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

Outputs

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

simplify68.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

886×	`fma-neg_binary64`
693×	`distribute-rgt-out_binary64`
586×	`distribute-lft-in_binary64`
586×	`distribute-rgt-in_binary64`
555×	`associate-l_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	31	238
1	77	238
2	231	196
3	836	176
4	3781	176
5	7906	176

Stop Event

1×	node limit

Counts

33 → 31

Calls

Call 1

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

localize240.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(*.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (sqrt.f64 2))
	1.0b	(-.f64 3 (sqrt.f64 5))
	2.6b	(-.f64 (cos.f64 x) (cos.f64 y))
✓	3.7b	(-.f64 (exp.f64 (log1p.f64 (.f64 (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (sqrt.f64 2)) (.f64 (+.f64 (sin.f64 x) (.f64 (sin.f64 y) -1/16)) (+.f64 (sin.f64 y) (*.f64 (sin.f64 x) -1/16)))))) 1)

Compiler

Compiled 351 to 220 computations (37.3% saved)

series365.0ms (1%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
163.0ms	x	@	-inf	(-.f64 (exp.f64 (log1p.f64 (.f64 (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (sqrt.f64 2)) (.f64 (+.f64 (sin.f64 x) (.f64 (sin.f64 y) -1/16)) (+.f64 (sin.f64 y) (*.f64 (sin.f64 x) -1/16)))))) 1)
100.0ms	x	@	inf	(-.f64 (exp.f64 (log1p.f64 (.f64 (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (sqrt.f64 2)) (.f64 (+.f64 (sin.f64 x) (.f64 (sin.f64 y) -1/16)) (+.f64 (sin.f64 y) (*.f64 (sin.f64 x) -1/16)))))) 1)
56.0ms	y	@	inf	(-.f64 (exp.f64 (log1p.f64 (.f64 (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (sqrt.f64 2)) (.f64 (+.f64 (sin.f64 x) (.f64 (sin.f64 y) -1/16)) (+.f64 (sin.f64 y) (*.f64 (sin.f64 x) -1/16)))))) 1)
32.0ms	y	@	-inf	(-.f64 (exp.f64 (log1p.f64 (.f64 (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (sqrt.f64 2)) (.f64 (+.f64 (sin.f64 x) (.f64 (sin.f64 y) -1/16)) (+.f64 (sin.f64 y) (*.f64 (sin.f64 x) -1/16)))))) 1)
5.0ms	x	@	0	(-.f64 (exp.f64 (log1p.f64 (.f64 (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (sqrt.f64 2)) (.f64 (+.f64 (sin.f64 x) (.f64 (sin.f64 y) -1/16)) (+.f64 (sin.f64 y) (*.f64 (sin.f64 x) -1/16)))))) 1)

rewrite125.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

415×	`log1p-udef_binary64`
414×	`expm1-udef_binary64`
246×	`add-sqr-sqrt_binary64`
238×	`pow1_binary64`
237×	`*-un-lft-identity_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	22	52
1	488	48
2	6760	48

Stop Event

1×	node limit

Counts

2 → 90

Calls

Call 1

Inputs

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

(*.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (sqrt.f64 2))

Outputs

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

simplify176.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

949×	`associate-/l*_binary64`
631×	`associate-/r*_binary64`
391×	`associate-*l/_binary64`
320×	`associate-*r/_binary64`
290×	`associate-r_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	205	3025
1	734	2898
2	3542	2581

Stop Event

1×	node limit

Counts

138 → 124

Calls

Call 1

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

Outputs
(.f64 -1/16 (.f64 (sqrt.f64 2) (*.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2))))
(.f64 (sqrt.f64 2) (.f64 (*.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2)) -1/16))
(+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2)))) (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (.f64 (+.f64 (*.f64 1/256 (sin.f64 y)) (sin.f64 y)) x))))
(fma.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2))) (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (.f64 (.f64 257/256 (sin.f64 y)) x))))
(fma.f64 (.f64 -1/16 (sqrt.f64 2)) (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2)) (.f64 (sqrt.f64 2) (.f64 x (.f64 (.f64 (-.f64 1 (cos.f64 y)) 257/256) (sin.f64 y)))))
(.f64 (.f64 (sqrt.f64 2) (-.f64 1 (cos.f64 y))) (+.f64 (.f64 (pow.f64 (sin.f64 y) 2) -1/16) (.f64 (*.f64 (sin.f64 y) 257/256) x)))
(+.f64 (.f64 (+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2)))) 1) (.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 (pow.f64 (-.f64 1 (cos.f64 y)) 2) (pow.f64 (+.f64 (.f64 1/256 (sin.f64 y)) (sin.f64 y)) 2))) (pow.f64 (+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2)))) 1) 2))) (.f64 1/2 (+.f64 (.f64 2 (/.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 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2)))) 1))) (.f64 -1 (/.f64 (.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 (pow.f64 (-.f64 1 (cos.f64 y)) 2) (pow.f64 (+.f64 (.f64 1/256 (sin.f64 y)) (sin.f64 y)) 2))) (pow.f64 (+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2)))) 1) 2)))))) (pow.f64 x 2))) (+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2)))) (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (.f64 (+.f64 (.f64 1/256 (sin.f64 y)) (sin.f64 y)) x)))))
(fma.f64 (fma.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2))) 1) (.f64 (.f64 1/2 (+.f64 (/.f64 (.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 (pow.f64 (-.f64 1 (cos.f64 y)) 2) (pow.f64 (.f64 257/256 (sin.f64 y)) 2))) (pow.f64 (fma.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2))) 1) 2)) (fma.f64 2 (/.f64 (sqrt.f64 2) (/.f64 (fma.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2))) 1) (fma.f64 1/32 (pow.f64 (sin.f64 y) 2) (.f64 -1/16 (-.f64 1 (cos.f64 y)))))) (neg.f64 (/.f64 (.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 (pow.f64 (-.f64 1 (cos.f64 y)) 2) (pow.f64 (.f64 257/256 (sin.f64 y)) 2))) (pow.f64 (fma.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2))) 1) 2)))))) (.f64 x x)) (fma.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2))) (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (.f64 (.f64 257/256 (sin.f64 y)) x)))))
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(*.f64 (sqrt.f64 2) (-.f64 1 (cos.f64 y)))
(+.f64 (.f64 -1/2 (.f64 (sqrt.f64 2) (pow.f64 x 2))) (*.f64 (sqrt.f64 2) (-.f64 1 (cos.f64 y))))
(fma.f64 -1/2 (.f64 (sqrt.f64 2) (.f64 x x)) (*.f64 (sqrt.f64 2) (-.f64 1 (cos.f64 y))))
(fma.f64 (sqrt.f64 2) (-.f64 1 (cos.f64 y)) (.f64 (sqrt.f64 2) (.f64 (*.f64 x x) -1/2)))
(.f64 (sqrt.f64 2) (+.f64 (-.f64 1 (cos.f64 y)) (.f64 -1/2 (*.f64 x x))))
(+.f64 (.f64 1/24 (.f64 (sqrt.f64 2) (pow.f64 x 4))) (+.f64 (.f64 -1/2 (.f64 (sqrt.f64 2) (pow.f64 x 2))) (*.f64 (sqrt.f64 2) (-.f64 1 (cos.f64 y)))))
(fma.f64 1/24 (.f64 (sqrt.f64 2) (pow.f64 x 4)) (fma.f64 -1/2 (.f64 (sqrt.f64 2) (.f64 x x)) (.f64 (sqrt.f64 2) (-.f64 1 (cos.f64 y)))))
(fma.f64 1/24 (.f64 (sqrt.f64 2) (pow.f64 x 4)) (fma.f64 (sqrt.f64 2) (-.f64 1 (cos.f64 y)) (.f64 (sqrt.f64 2) (.f64 (.f64 x x) -1/2))))
(fma.f64 1/24 (.f64 (sqrt.f64 2) (pow.f64 x 4)) (.f64 (sqrt.f64 2) (+.f64 (-.f64 1 (cos.f64 y)) (.f64 -1/2 (.f64 x x)))))
(+.f64 (.f64 -1/720 (.f64 (sqrt.f64 2) (pow.f64 x 6))) (+.f64 (.f64 1/24 (.f64 (sqrt.f64 2) (pow.f64 x 4))) (+.f64 (.f64 -1/2 (.f64 (sqrt.f64 2) (pow.f64 x 2))) (*.f64 (sqrt.f64 2) (-.f64 1 (cos.f64 y))))))
(fma.f64 -1/720 (.f64 (sqrt.f64 2) (pow.f64 x 6)) (fma.f64 1/24 (.f64 (sqrt.f64 2) (pow.f64 x 4)) (fma.f64 -1/2 (.f64 (sqrt.f64 2) (.f64 x x)) (*.f64 (sqrt.f64 2) (-.f64 1 (cos.f64 y))))))
(fma.f64 -1/720 (.f64 (sqrt.f64 2) (pow.f64 x 6)) (fma.f64 1/24 (.f64 (sqrt.f64 2) (pow.f64 x 4)) (fma.f64 (sqrt.f64 2) (-.f64 1 (cos.f64 y)) (.f64 (sqrt.f64 2) (.f64 (*.f64 x x) -1/2)))))
(+.f64 (.f64 (sqrt.f64 2) (+.f64 (-.f64 1 (cos.f64 y)) (.f64 -1/2 (.f64 x x)))) (.f64 (sqrt.f64 2) (+.f64 (.f64 1/24 (pow.f64 x 4)) (.f64 -1/720 (pow.f64 x 6)))))
(*.f64 (sqrt.f64 2) (-.f64 (cos.f64 x) (cos.f64 y)))
(*.f64 (sqrt.f64 2) (-.f64 (cos.f64 x) (cos.f64 y)))
(*.f64 (sqrt.f64 2) (-.f64 (cos.f64 x) (cos.f64 y)))
(*.f64 (sqrt.f64 2) (-.f64 (cos.f64 x) (cos.f64 y)))
(*.f64 (sqrt.f64 2) (-.f64 (cos.f64 x) (cos.f64 y)))
(*.f64 (sqrt.f64 2) (-.f64 (cos.f64 x) (cos.f64 y)))
(*.f64 (sqrt.f64 2) (-.f64 (cos.f64 x) (cos.f64 y)))
(*.f64 (sqrt.f64 2) (-.f64 (cos.f64 x) (cos.f64 y)))
(*.f64 (sqrt.f64 2) (-.f64 (cos.f64 x) 1))
(*.f64 (sqrt.f64 2) (+.f64 (cos.f64 x) -1))
(*.f64 (sqrt.f64 2) (+.f64 -1 (cos.f64 x)))
(+.f64 (.f64 (sqrt.f64 2) (-.f64 (cos.f64 x) 1)) (.f64 1/2 (*.f64 (sqrt.f64 2) (pow.f64 y 2))))
(fma.f64 (sqrt.f64 2) (+.f64 (cos.f64 x) -1) (.f64 1/2 (.f64 (sqrt.f64 2) (*.f64 y y))))
(fma.f64 (sqrt.f64 2) (+.f64 -1 (cos.f64 x)) (.f64 1/2 (.f64 (sqrt.f64 2) (*.f64 y y))))
(.f64 (sqrt.f64 2) (+.f64 (+.f64 -1 (cos.f64 x)) (.f64 1/2 (*.f64 y y))))
(+.f64 (.f64 -1/24 (.f64 (sqrt.f64 2) (pow.f64 y 4))) (+.f64 (.f64 (sqrt.f64 2) (-.f64 (cos.f64 x) 1)) (.f64 1/2 (*.f64 (sqrt.f64 2) (pow.f64 y 2)))))
(fma.f64 -1/24 (.f64 (sqrt.f64 2) (pow.f64 y 4)) (fma.f64 (sqrt.f64 2) (+.f64 (cos.f64 x) -1) (.f64 1/2 (.f64 (sqrt.f64 2) (.f64 y y)))))
(fma.f64 -1/24 (.f64 (sqrt.f64 2) (pow.f64 y 4)) (fma.f64 (sqrt.f64 2) (+.f64 -1 (cos.f64 x)) (.f64 1/2 (.f64 (sqrt.f64 2) (.f64 y y)))))
(fma.f64 -1/24 (.f64 (sqrt.f64 2) (pow.f64 y 4)) (.f64 (sqrt.f64 2) (+.f64 (+.f64 -1 (cos.f64 x)) (.f64 1/2 (.f64 y y)))))
(+.f64 (.f64 -1/24 (.f64 (sqrt.f64 2) (pow.f64 y 4))) (+.f64 (.f64 (sqrt.f64 2) (-.f64 (cos.f64 x) 1)) (+.f64 (.f64 1/720 (.f64 (sqrt.f64 2) (pow.f64 y 6))) (.f64 1/2 (*.f64 (sqrt.f64 2) (pow.f64 y 2))))))
(fma.f64 -1/24 (.f64 (sqrt.f64 2) (pow.f64 y 4)) (fma.f64 (sqrt.f64 2) (+.f64 (cos.f64 x) -1) (fma.f64 1/720 (.f64 (sqrt.f64 2) (pow.f64 y 6)) (.f64 1/2 (.f64 (sqrt.f64 2) (*.f64 y y))))))
(fma.f64 -1/24 (.f64 (sqrt.f64 2) (pow.f64 y 4)) (fma.f64 (sqrt.f64 2) (+.f64 -1 (cos.f64 x)) (fma.f64 1/2 (.f64 (sqrt.f64 2) (.f64 y y)) (.f64 (sqrt.f64 2) (*.f64 (pow.f64 y 6) 1/720)))))
(+.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 1/720 (pow.f64 y 6)) (.f64 1/2 (.f64 y y)))) (.f64 (sqrt.f64 2) (+.f64 (+.f64 -1 (cos.f64 x)) (.f64 -1/24 (pow.f64 y 4)))))
(*.f64 (sqrt.f64 2) (-.f64 (cos.f64 x) (cos.f64 y)))
(*.f64 (sqrt.f64 2) (-.f64 (cos.f64 x) (cos.f64 y)))
(*.f64 (sqrt.f64 2) (-.f64 (cos.f64 x) (cos.f64 y)))
(*.f64 (sqrt.f64 2) (-.f64 (cos.f64 x) (cos.f64 y)))
(*.f64 (sqrt.f64 2) (-.f64 (cos.f64 x) (cos.f64 y)))
(*.f64 (sqrt.f64 2) (-.f64 (cos.f64 x) (cos.f64 y)))
(*.f64 (sqrt.f64 2) (-.f64 (cos.f64 x) (cos.f64 y)))
(*.f64 (sqrt.f64 2) (-.f64 (cos.f64 x) (cos.f64 y)))

localize304.0ms (0.8%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 449 to 352 computations (21.6% saved)

series4.0ms (0%)

Counts

3 → 8

Calls

6 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)))
1.0ms	y	@	0	(-.f64 1 (cos.f64 y))
0.0ms	y	@	-inf	(-.f64 1 (cos.f64 y))

rewrite73.0ms (0.2%)

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	34
1	339	34
2	3933	32

Stop Event

1×	node limit

Counts

3 → 89

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)))

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

simplify127.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1841×	`fma-def_binary64`
727×	`sqr-pow_binary64`
659×	`distribute-lft-out_binary64`
414×	`*-commutative_binary64`
376×	`pow-sqr_binary64`

Iterations

Useful iterations: 9 (0.0ms)

Iter	Nodes	Cost
0	41	190
1	105	190
2	277	180
3	941	164
4	2424	164
5	3666	164
6	4162	164
7	4349	164
8	4531	164
9	4770	160
10	6120	160
11	6531	160
12	7011	160
13	7557	160

Stop Event

1×	node limit

Counts

97 → 105

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))))))

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

eval2.3s (6.3%)

Compiler: Compiled 65087 to 49520 computations (23.9% saved)

prune520.0ms (1.4%)

Pruning

68 alts after pruning (66 fresh and 2 done)

	Pruned	Kept	Total
New	906	41	947
Fresh	13	25	38
Picked	1	0	1
Done	3	2	5
Total	923	68	991

Error

0.0b

Counts

991 → 68

Alt Table

Click to see full alt table

Status	Error	Program
	0.4b	(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (/.f64 4 (+.f64 3 (sqrt.f64 5))) 2) (cos.f64 y)))))
	12.1b	(/.f64 (+.f64 (.f64 (sqrt.f64 2) (.f64 (.f64 (.f64 (sin.f64 (.f64 (-.f64 x y) 1/2)) (sin.f64 (.f64 (+.f64 x y) 1/2))) -2) (.f64 (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x)) (+.f64 (.f64 -1/16 (sin.f64 x)) (sin.f64 y))))) 2) (+.f64 3 (+.f64 (.f64 (cos.f64 y) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5)))) (.f64 3/2 (*.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))))))
	28.0b	(+.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (.f64 (+.f64 (.f64 1/256 (sin.f64 y)) (sin.f64 y)) x))) (+.f64 (.f64 3/2 (-.f64 (sqrt.f64 5) 1)) (+.f64 3 (.f64 (cos.f64 y) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5))))))) (+.f64 (.f64 -1/16 (/.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2))) (+.f64 (.f64 3/2 (-.f64 (sqrt.f64 5) 1)) (+.f64 3 (.f64 (cos.f64 y) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5)))))))) (.f64 2 (/.f64 1 (+.f64 (expm1.f64 (log1p.f64 (fma.f64 3/2 (sqrt.f64 5) -3/2))) (+.f64 3 (.f64 (cos.f64 y) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5))))))))))
	26.5b	(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (pow.f64 (.f64 (+.f64 (sqrt.f64 45/4) -3/2) (cos.f64 x)) 1)) (*.f64 3/2 (sqrt.f64 5))))
✓	24.9b	(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) 1))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
	24.9b	(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (sin.f64 x)) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) 1))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
	25.1b	(/.f64 (+.f64 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 (pow.f64 (cbrt.f64 (.f64 (.f64 (+.f64 (sqrt.f64 5) -1) (cos.f64 x)) 1/2)) 3)) (*.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
	24.0b	(/.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)))))
	24.9b	(/.f64 (+.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) 1) (.f64 (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x)) (+.f64 (.f64 -1/16 (sin.f64 x)) (sin.f64 y))))) 2) (+.f64 3 (+.f64 (.f64 (cos.f64 y) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5)))) (.f64 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))) (log1p.f64 (expm1.f64 (-.f64 (cos.f64 x) (cos.f64 y)))))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
	0.4b	(/.f64 (+.f64 (.f64 (sqrt.f64 2) (.f64 (cbrt.f64 (pow.f64 (-.f64 (cos.f64 x) (cos.f64 y)) 3)) (.f64 (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x)) (+.f64 (.f64 -1/16 (sin.f64 x)) (sin.f64 y))))) 2) (+.f64 3 (+.f64 (.f64 (cos.f64 y) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5)))) (.f64 3/2 (*.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))))))
	23.5b	(/.f64 (+.f64 2 (.f64 (.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) (sin.f64 y))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (*.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
✓	0.4b	(/.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)))))
	1.5b	(.f64 (/.f64 (sqrt.f64 (fma.f64 (sqrt.f64 2) (.f64 (fma.f64 -1/16 (sin.f64 x) (sin.f64 y)) (.f64 (fma.f64 (sin.f64 y) -1/16 (sin.f64 x)) (-.f64 (cos.f64 x) (cos.f64 y)))) 2)) (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 x) (.f64 (+.f64 (sqrt.f64 5) -1) 3/2) (fma.f64 (cos.f64 y) (-.f64 9/2 (sqrt.f64 45/4)) 3))) 2)) (/.f64 (sqrt.f64 (fma.f64 (sqrt.f64 2) (.f64 (fma.f64 -1/16 (sin.f64 x) (sin.f64 y)) (.f64 (fma.f64 (sin.f64 y) -1/16 (sin.f64 x)) (-.f64 (cos.f64 x) (cos.f64 y)))) 2)) (cbrt.f64 (fma.f64 (cos.f64 x) (*.f64 (+.f64 (sqrt.f64 5) -1) 3/2) (fma.f64 (cos.f64 y) (-.f64 9/2 (sqrt.f64 45/4)) 3)))))
▶	37.9b	(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (sqrt.f64 (pow.f64 (+.f64 (cos.f64 x) -1) 2)))))) (-.f64 (+.f64 15/2 (.f64 3/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))) (.f64 3/2 (sqrt.f64 5))))
	44.0b	(+.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (.f64 1/2 (.f64 y y)) (.f64 (+.f64 (.f64 1/256 (sin.f64 y)) (sin.f64 y)) x))) (+.f64 (.f64 3/2 (-.f64 (sqrt.f64 5) 1)) (+.f64 3 (.f64 (cos.f64 y) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5))))))) (+.f64 (.f64 -1/16 (/.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2))) (+.f64 (.f64 3/2 (-.f64 (sqrt.f64 5) 1)) (+.f64 3 (.f64 (cos.f64 y) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5)))))))) (.f64 2 (/.f64 1 (+.f64 (.f64 3/2 (-.f64 (sqrt.f64 5) 1)) (+.f64 3 (.f64 (cos.f64 y) (-.f64 9/2 (*.f64 3/2 (sqrt.f64 5))))))))))
	26.5b	(/.f64 (+.f64 (.f64 (.f64 (sqrt.f64 2) (-.f64 1 (cos.f64 y))) (+.f64 (.f64 -1/16 (pow.f64 (sin.f64 y) 2)) (.f64 (sin.f64 y) (.f64 x 257/256)))) 2) (+.f64 3 (+.f64 (.f64 (cos.f64 y) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5)))) (.f64 3/2 (*.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))))))
	35.4b	(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (pow.f64 (sqrt.f64 (.f64 (+.f64 (sqrt.f64 45/4) -3/2) (cos.f64 x))) 2)) (*.f64 3/2 (sqrt.f64 5))))
	26.5b	(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (+.f64 x x)))) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (.f64 3/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))) (*.f64 3/2 (sqrt.f64 5))))
	26.5b	(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (.f64 3/2 (/.f64 (.f64 (cos.f64 x) 4) (+.f64 1 (sqrt.f64 5))))) (.f64 3/2 (sqrt.f64 5))))
	27.9b	(+.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (.f64 (+.f64 (.f64 1/256 (sin.f64 y)) (sin.f64 y)) x))) (+.f64 (.f64 3/2 (-.f64 (sqrt.f64 5) 1)) (+.f64 3 (.f64 (cos.f64 y) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5))))))) (+.f64 (.f64 -1/16 (/.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2))) (+.f64 (.f64 3/2 (-.f64 (sqrt.f64 5) 1)) (+.f64 3 (.f64 (cos.f64 y) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5)))))))) (.f64 2 (/.f64 1 (+.f64 (/.f64 6 (+.f64 1 (sqrt.f64 5))) (+.f64 3 (.f64 (cos.f64 y) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5))))))))))
	32.3b	(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (sqrt.f64 (pow.f64 (.f64 (+.f64 (sqrt.f64 45/4) -3/2) (cos.f64 x)) 2))) (*.f64 3/2 (sqrt.f64 5))))
	27.9b	(+.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (.f64 (+.f64 (.f64 1/256 (sin.f64 y)) (sin.f64 y)) x))) (+.f64 (.f64 3/2 (-.f64 (sqrt.f64 5) 1)) (+.f64 3 (.f64 (cos.f64 y) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5))))))) (+.f64 (.f64 -1/16 (/.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2))) (+.f64 (.f64 3/2 (-.f64 (sqrt.f64 5) 1)) (+.f64 3 (.f64 (cos.f64 y) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5)))))))) (.f64 2 (/.f64 1 (+.f64 (.f64 3/2 (-.f64 (sqrt.f64 5) 1)) (+.f64 3 (.f64 (cos.f64 y) (+.f64 9/2 (neg.f64 (sqrt.f64 45/4))))))))))
	0.4b	(.f64 (fma.f64 (sqrt.f64 2) (.f64 (fma.f64 -1/16 (sin.f64 x) (sin.f64 y)) (.f64 (fma.f64 (sin.f64 y) -1/16 (sin.f64 x)) (-.f64 (cos.f64 x) (cos.f64 y)))) 2) (/.f64 1 (fma.f64 (cos.f64 x) (.f64 (+.f64 (sqrt.f64 5) -1) 3/2) (fma.f64 (cos.f64 y) (-.f64 9/2 (sqrt.f64 45/4)) 3))))
	0.4b	(/.f64 (+.f64 2 (.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x))) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))))))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
	0.9b	(-.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 (sqrt.f64 2) (.f64 (fma.f64 -1/16 (sin.f64 x) (sin.f64 y)) (.f64 (fma.f64 (sin.f64 y) -1/16 (sin.f64 x)) (-.f64 (cos.f64 x) (cos.f64 y)))) 2) (fma.f64 (cos.f64 x) (*.f64 (+.f64 (sqrt.f64 5) -1) 3/2) (fma.f64 (cos.f64 y) (-.f64 9/2 (sqrt.f64 45/4)) 3))))) 1)
	23.8b	(/.f64 (+.f64 2 (-.f64 (exp.f64 (log1p.f64 (.f64 (.f64 (-.f64 1 (cos.f64 y)) (sqrt.f64 2)) (.f64 (+.f64 (sin.f64 x) (.f64 (sin.f64 y) -1/16)) (+.f64 (sin.f64 y) (.f64 (sin.f64 x) -1/16)))))) 1)) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
	23.5b	(/.f64 (+.f64 (.f64 -1/16 (.f64 (-.f64 1 (cos.f64 y)) (.f64 (sqrt.f64 2) (pow.f64 (sin.f64 y) 2)))) 2) (+.f64 3 (+.f64 (.f64 (cos.f64 y) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5)))) (.f64 3/2 (*.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))))))
	0.4b	(/.f64 (+.f64 2 (+.f64 (+.f64 (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (.f64 (sqrt.f64 2) (fma.f64 (sin.f64 x) -1/16 (sin.f64 y))) (fma.f64 (sin.f64 y) -1/16 (sin.f64 x)))) 1) -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 9/2 (sqrt.f64 45/4)) 3)) (fma.f64 (sqrt.f64 2) (.f64 (fma.f64 -1/16 (sin.f64 x) (sin.f64 y)) (*.f64 (fma.f64 (sin.f64 y) -1/16 (sin.f64 x)) (-.f64 (cos.f64 x) (cos.f64 y)))) 2)) -1)
	23.5b	(/.f64 (+.f64 2 (.f64 (sqrt.f64 2) (.f64 (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2)) -1/16))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
	1.3b	(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 x) (.f64 (+.f64 (sqrt.f64 5) -1) 3/2) (fma.f64 (cos.f64 y) (-.f64 9/2 (sqrt.f64 45/4)) 3))) 2)) (/.f64 (fma.f64 (sqrt.f64 2) (.f64 (fma.f64 -1/16 (sin.f64 x) (sin.f64 y)) (.f64 (fma.f64 (sin.f64 y) -1/16 (sin.f64 x)) (-.f64 (cos.f64 x) (cos.f64 y)))) 2) (cbrt.f64 (fma.f64 (cos.f64 x) (*.f64 (+.f64 (sqrt.f64 5) -1) 3/2) (fma.f64 (cos.f64 y) (-.f64 9/2 (sqrt.f64 45/4)) 3)))))
	0.4b	(/.f64 (+.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x)) (+.f64 (.f64 -1/16 (sin.f64 x)) (sin.f64 y))))) 2) (+.f64 3 (+.f64 (.f64 (cos.f64 y) (+.f64 9/2 (neg.f64 (sqrt.f64 45/4)))) (.f64 3/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))))))
	38.0b	(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) 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)))))
	0.5b	(/.f64 (+.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x)) (+.f64 (.f64 -1/16 (sin.f64 x)) (sin.f64 y))))) 2) (+.f64 3 (+.f64 (.f64 (cos.f64 y) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5)))) (pow.f64 (cbrt.f64 (.f64 (+.f64 (sqrt.f64 45/4) -3/2) (cos.f64 x))) 3))))
	0.4b	(/.f64 (fma.f64 (sqrt.f64 2) (.f64 (+.f64 (sin.f64 y) (.f64 -1/16 (sin.f64 x))) (.f64 (+.f64 (sin.f64 x) (.f64 -1/16 (sin.f64 y))) (-.f64 (cos.f64 x) (cos.f64 y)))) 2) (fma.f64 (cos.f64 x) (/.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 (exp.f64 (log1p.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (sqrt.f64 2))) 3) (.f64 (+.f64 (sin.f64 x) (.f64 (sin.f64 y) -1/16)) (+.f64 (sin.f64 y) (.f64 (sin.f64 x) -1/16)))))) 1)) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
	39.3b	(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (.f64 3/2 (-.f64 (sqrt.f64 5) 1))) (*.f64 3/2 (sqrt.f64 5))))
	26.5b	(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (cbrt.f64 (pow.f64 (.f64 (+.f64 (sqrt.f64 45/4) -3/2) (cos.f64 x)) 3))) (*.f64 3/2 (sqrt.f64 5))))
	0.6b	(pow.f64 (sqrt.f64 (/.f64 (fma.f64 (sqrt.f64 2) (.f64 (fma.f64 -1/16 (sin.f64 x) (sin.f64 y)) (.f64 (fma.f64 (sin.f64 y) -1/16 (sin.f64 x)) (-.f64 (cos.f64 x) (cos.f64 y)))) 2) (fma.f64 (cos.f64 x) (*.f64 (+.f64 (sqrt.f64 5) -1) 3/2) (fma.f64 (cos.f64 y) (-.f64 9/2 (sqrt.f64 45/4)) 3)))) 2)
	36.0b	(/.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) 1))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (*.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
	24.9b	(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) 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)))))
	1.4b	(pow.f64 (cbrt.f64 (/.f64 (fma.f64 (sqrt.f64 2) (.f64 (fma.f64 -1/16 (sin.f64 x) (sin.f64 y)) (.f64 (fma.f64 (sin.f64 y) -1/16 (sin.f64 x)) (-.f64 (cos.f64 x) (cos.f64 y)))) 2) (fma.f64 (cos.f64 x) (*.f64 (+.f64 (sqrt.f64 5) -1) 3/2) (fma.f64 (cos.f64 y) (-.f64 9/2 (sqrt.f64 45/4)) 3)))) 3)
	26.5b	(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 (cos.f64 x) -1)) 3))))) (-.f64 (+.f64 15/2 (.f64 3/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))) (.f64 3/2 (sqrt.f64 5))))
	0.4b	(/.f64 (fma.f64 (sqrt.f64 2) (.f64 (+.f64 (sin.f64 y) (.f64 -1/16 (sin.f64 x))) (.f64 (+.f64 (sin.f64 x) (.f64 -1/16 (sin.f64 y))) (-.f64 (cos.f64 x) (cos.f64 y)))) 2) (fma.f64 (cos.f64 x) (/.f64 (+.f64 (sqrt.f64 5) -1) 2/3) (fma.f64 (cos.f64 y) (+.f64 9/2 (neg.f64 (sqrt.f64 45/4))) 3)))
	45.3b	(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (.f64 (+.f64 (sqrt.f64 5) -1) (+.f64 3/2 (.f64 -3/4 (.f64 x x))))) (*.f64 3/2 (sqrt.f64 5))))
	0.4b	(log1p.f64 (expm1.f64 (/.f64 (fma.f64 (sqrt.f64 2) (.f64 (fma.f64 -1/16 (sin.f64 x) (sin.f64 y)) (.f64 (fma.f64 (sin.f64 y) -1/16 (sin.f64 x)) (-.f64 (cos.f64 x) (cos.f64 y)))) 2) (fma.f64 (cos.f64 x) (*.f64 (+.f64 (sqrt.f64 5) -1) 3/2) (fma.f64 (cos.f64 y) (-.f64 9/2 (sqrt.f64 45/4)) 3)))))
▶	45.2b	(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (.f64 x x) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (.f64 3/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))) (*.f64 3/2 (sqrt.f64 5))))
	0.4b	(/.f64 (+.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x)) (+.f64 (.f64 -1/16 (sin.f64 x)) (sin.f64 y))))) 2) (+.f64 3 (+.f64 (.f64 (cos.f64 y) (/.f64 9 (+.f64 9/2 (sqrt.f64 45/4)))) (.f64 3/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))))))
▶	31.3b	(/.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 (cos.f64 y) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5)))) (.f64 (+.f64 (sqrt.f64 5) -1) (+.f64 3/2 (.f64 -3/4 (.f64 x x)))))))
	29.2b	(+.f64 (.f64 2 (/.f64 1 (-.f64 (+.f64 15/2 (.f64 3/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))) (.f64 3/2 (sqrt.f64 5))))) (+.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 y (.f64 (-.f64 (cos.f64 x) 1) (+.f64 (.f64 1/256 (sin.f64 x)) (sin.f64 x))))) (-.f64 (+.f64 15/2 (.f64 3/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))) (.f64 3/2 (sqrt.f64 5)))) (.f64 -1/16 (/.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))) (-.f64 (+.f64 15/2 (.f64 3/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))) (*.f64 3/2 (sqrt.f64 5)))))))
	26.5b	(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (.f64 3/2 (+.f64 (.f64 (sqrt.f64 5) (cos.f64 x)) (.f64 -1 (cos.f64 x))))) (*.f64 3/2 (sqrt.f64 5))))
	0.4b	(expm1.f64 (log1p.f64 (/.f64 (fma.f64 (sqrt.f64 2) (.f64 (fma.f64 -1/16 (sin.f64 x) (sin.f64 y)) (.f64 (fma.f64 (sin.f64 y) -1/16 (sin.f64 x)) (-.f64 (cos.f64 x) (cos.f64 y)))) 2) (fma.f64 (cos.f64 x) (*.f64 (+.f64 (sqrt.f64 5) -1) 3/2) (fma.f64 (cos.f64 y) (-.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 (log.f64 (exp.f64 (-.f64 3 (sqrt.f64 5)))) 2) (cos.f64 y)))))
	45.2b	(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (.f64 -1/2 (.f64 x x)))))) (-.f64 (+.f64 15/2 (.f64 3/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))) (.f64 3/2 (sqrt.f64 5))))
	24.9b	(/.f64 (+.f64 2 (.f64 (+.f64 1/16 (.f64 (cos.f64 x) -1/16)) (.f64 (sqrt.f64 2) (pow.f64 (sin.f64 x) 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)))))
	25.4b	(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2))))) (+.f64 (.f64 3/2 (-.f64 (sqrt.f64 5) 1)) (+.f64 3 (.f64 (cos.f64 y) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5)))))))
	24.9b	(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) 1))) (.f64 3 (+.f64 (+.f64 1 (log.f64 (+.f64 1 (expm1.f64 (.f64 (.f64 (+.f64 (sqrt.f64 5) -1) (cos.f64 x)) 1/2))))) (*.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
	32.8b	(/.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)))))
	23.4b	(/.f64 (+.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (.f64 (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x)) (+.f64 (.f64 -1/16 (sin.f64 x)) (sin.f64 y))))) 2) (+.f64 3 (+.f64 (.f64 (cos.f64 y) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5)))) (.f64 3/2 (*.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))))))
	24.9b	(/.f64 (+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1)))) 2) (+.f64 3 (+.f64 (.f64 (cos.f64 y) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5)))) (.f64 3/2 (*.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))))))
	25.2b	(/.f64 (+.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x)) (+.f64 (.f64 -1/16 (sin.f64 x)) (sin.f64 y))))) 2) (+.f64 3 (+.f64 (.f64 (cos.f64 y) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5)))) (.f64 3/2 (-.f64 (sqrt.f64 5) 1)))))
	30.9b	(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 -1/16 (sin.f64 y)) 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)))))
	23.4b	(/.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 1 (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
	0.6b	(cbrt.f64 (/.f64 (pow.f64 (fma.f64 (sqrt.f64 2) (.f64 (fma.f64 -1/16 (sin.f64 x) (sin.f64 y)) (.f64 (fma.f64 (sin.f64 y) -1/16 (sin.f64 x)) (-.f64 (cos.f64 x) (cos.f64 y)))) 2) 3) (pow.f64 (fma.f64 (cos.f64 x) (*.f64 (+.f64 (sqrt.f64 5) -1) 3/2) (fma.f64 (cos.f64 y) (-.f64 9/2 (sqrt.f64 45/4)) 3)) 3)))
	0.4b	(/.f64 (fma.f64 (sqrt.f64 2) (.f64 (+.f64 (sin.f64 y) (.f64 -1/16 (sin.f64 x))) (.f64 (+.f64 (sin.f64 x) (.f64 -1/16 (sin.f64 y))) (-.f64 (cos.f64 x) (cos.f64 y)))) 2) (fma.f64 (cos.f64 x) (pow.f64 (cbrt.f64 (*.f64 (+.f64 (sqrt.f64 5) -1) 3/2)) 3) (fma.f64 (cos.f64 y) (-.f64 9/2 (/.f64 (sqrt.f64 5) 2/3)) 3)))
▶	0.4b	(/.f64 (+.f64 (.f64 (sqrt.f64 2) (.f64 (/.f64 (-.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 y) 2)) (+.f64 (cos.f64 x) (cos.f64 y))) (.f64 (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x)) (+.f64 (.f64 -1/16 (sin.f64 x)) (sin.f64 y))))) 2) (+.f64 3 (+.f64 (.f64 (cos.f64 y) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5)))) (.f64 3/2 (*.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))))))
	43.7b	(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (exp.f64 (.f64 (.f64 2 (log.f64 (cbrt.f64 (sin.f64 x)))) 3)) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (.f64 3/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))) (.f64 3/2 (sqrt.f64 5))))

Compiler

Compiled 6809 to 5491 computations (19.4% saved)

localize130.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.6b	(+.f64 (cos.f64 x) (cos.f64 y))
	0.7b	(.f64 3/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))
	1.0b	(-.f64 9/2 (*.f64 3/2 (sqrt.f64 5)))
✓	2.7b	(-.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 y) 2))

Compiler

Compiled 335 to 202 computations (39.7% saved)

series6.0ms (0%)

Counts

2 → 16

Calls

12 calls:

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

rewrite89.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

510×	`log-prod_binary64`
461×	`fma-def_binary64`
347×	`pow-prod-down_binary64`
300×	`pow2_binary64`
244×	`fma-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	22
1	231	22
2	3205	22

Stop Event

1×	node limit

Counts

2 → 154

Calls

Call 1

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

Outputs

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

simplify57.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

609×	`associate-l_binary64`
594×	`unswap-sqr_binary64`
518×	`distribute-rgt-out_binary64`
498×	`associate-r_binary64`
344×	`distribute-rgt-neg-in_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	72	298
1	191	281
2	532	275
3	1828	273
4	5078	271

Stop Event

1×	node limit

Counts

170 → 185

Calls

Call 1

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

Outputs
(-.f64 1 (pow.f64 (cos.f64 y) 2))
(*.f64 (sin.f64 y) (sin.f64 y))
(-.f64 (+.f64 1 (*.f64 -1 (pow.f64 x 2))) (pow.f64 (cos.f64 y) 2))
(+.f64 1 (-.f64 (neg.f64 (*.f64 x x)) (pow.f64 (cos.f64 y) 2)))
(-.f64 (-.f64 1 (*.f64 x x)) (pow.f64 (cos.f64 y) 2))
(-.f64 (.f64 (sin.f64 y) (sin.f64 y)) (.f64 x x))
(-.f64 1 (fma.f64 x x (pow.f64 (cos.f64 y) 2)))
(-.f64 (+.f64 1 (+.f64 (.f64 -1 (pow.f64 x 2)) (.f64 1/3 (pow.f64 x 4)))) (pow.f64 (cos.f64 y) 2))
(-.f64 (+.f64 1 (fma.f64 -1 (.f64 x x) (.f64 1/3 (pow.f64 x 4)))) (pow.f64 (cos.f64 y) 2))
(+.f64 (fma.f64 1/3 (pow.f64 x 4) (.f64 x (neg.f64 x))) (.f64 (sin.f64 y) (sin.f64 y)))
(-.f64 (-.f64 (fma.f64 1/3 (pow.f64 x 4) 1) (*.f64 x x)) (pow.f64 (cos.f64 y) 2))
(fma.f64 1/3 (pow.f64 x 4) (-.f64 (.f64 (sin.f64 y) (sin.f64 y)) (.f64 x x)))
(-.f64 (fma.f64 1/3 (pow.f64 x 4) 1) (fma.f64 x x (pow.f64 (cos.f64 y) 2)))
(-.f64 (+.f64 1 (+.f64 (.f64 -1 (pow.f64 x 2)) (+.f64 (.f64 -2/45 (pow.f64 x 6)) (*.f64 1/3 (pow.f64 x 4))))) (pow.f64 (cos.f64 y) 2))
(-.f64 (+.f64 1 (fma.f64 -1 (.f64 x x) (fma.f64 -2/45 (pow.f64 x 6) (.f64 1/3 (pow.f64 x 4))))) (pow.f64 (cos.f64 y) 2))
(+.f64 (-.f64 (fma.f64 1/3 (pow.f64 x 4) (.f64 -2/45 (pow.f64 x 6))) (.f64 x x)) (*.f64 (sin.f64 y) (sin.f64 y)))
(+.f64 (.f64 (sin.f64 y) (sin.f64 y)) (-.f64 (fma.f64 -2/45 (pow.f64 x 6) (.f64 1/3 (pow.f64 x 4))) (*.f64 x x)))
(-.f64 (fma.f64 1/3 (pow.f64 x 4) (*.f64 -2/45 (pow.f64 x 6))) (+.f64 (fma.f64 x x -1) (pow.f64 (cos.f64 y) 2)))
(-.f64 (fma.f64 -2/45 (pow.f64 x 6) (*.f64 1/3 (pow.f64 x 4))) (+.f64 (pow.f64 (cos.f64 y) 2) (fma.f64 x x -1)))
(-.f64 (pow.f64 (cos.f64 x) 2) 1)
(+.f64 (pow.f64 (cos.f64 x) 2) -1)
(fma.f64 (cos.f64 x) (cos.f64 x) -1)
(+.f64 -1 (pow.f64 (cos.f64 x) 2))
(-.f64 (+.f64 (pow.f64 y 2) (pow.f64 (cos.f64 x) 2)) 1)
(+.f64 (*.f64 y y) (+.f64 (pow.f64 (cos.f64 x) 2) -1))
(fma.f64 y y (fma.f64 (cos.f64 x) (cos.f64 x) -1))
(fma.f64 (cos.f64 x) (cos.f64 x) (fma.f64 y y -1))
(+.f64 (pow.f64 (cos.f64 x) 2) (fma.f64 y y -1))
(-.f64 (+.f64 (*.f64 -1/3 (pow.f64 y 4)) (+.f64 (pow.f64 y 2) (pow.f64 (cos.f64 x) 2))) 1)
(+.f64 (fma.f64 -1/3 (pow.f64 y 4) (+.f64 (pow.f64 (cos.f64 x) 2) (*.f64 y y))) -1)
(fma.f64 -1/3 (pow.f64 y 4) (fma.f64 y y (fma.f64 (cos.f64 x) (cos.f64 x) -1)))
(fma.f64 -1/3 (pow.f64 y 4) (fma.f64 (cos.f64 x) (cos.f64 x) (fma.f64 y y -1)))
(+.f64 -1 (fma.f64 y y (fma.f64 -1/3 (pow.f64 y 4) (pow.f64 (cos.f64 x) 2))))
(-.f64 (+.f64 (.f64 -1/3 (pow.f64 y 4)) (+.f64 (pow.f64 y 2) (+.f64 (.f64 2/45 (pow.f64 y 6)) (pow.f64 (cos.f64 x) 2)))) 1)
(+.f64 (fma.f64 -1/3 (pow.f64 y 4) (+.f64 (*.f64 y y) (fma.f64 2/45 (pow.f64 y 6) (pow.f64 (cos.f64 x) 2)))) -1)
(+.f64 -1 (fma.f64 -1/3 (pow.f64 y 4) (fma.f64 y y (fma.f64 2/45 (pow.f64 y 6) (pow.f64 (cos.f64 x) 2)))))
(+.f64 (fma.f64 y y (fma.f64 2/45 (pow.f64 y 6) (pow.f64 (cos.f64 x) 2))) (fma.f64 -1/3 (pow.f64 y 4) -1))
(+.f64 -1 (fma.f64 y y (fma.f64 -1/3 (pow.f64 y 4) (fma.f64 2/45 (pow.f64 y 6) (pow.f64 (cos.f64 x) 2)))))
(+.f64 (fma.f64 y y (fma.f64 -1/3 (pow.f64 y 4) (pow.f64 (cos.f64 x) 2))) (fma.f64 2/45 (pow.f64 y 6) -1))
(+.f64 1 (cos.f64 y))
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (cos.f64 y)))
(+.f64 1 (fma.f64 -1/2 (*.f64 x x) (cos.f64 y)))
(+.f64 1 (fma.f64 (*.f64 x x) -1/2 (cos.f64 y)))
(+.f64 (cos.f64 y) (fma.f64 x (*.f64 x -1/2) 1))
(+.f64 1 (fma.f64 x (*.f64 x -1/2) (cos.f64 y)))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 1/24 (pow.f64 x 4)) (cos.f64 y))))
(+.f64 1 (fma.f64 -1/2 (*.f64 x x) (fma.f64 1/24 (pow.f64 x 4) (cos.f64 y))))
(+.f64 1 (fma.f64 (*.f64 x x) -1/2 (fma.f64 (pow.f64 x 4) 1/24 (cos.f64 y))))
(+.f64 (fma.f64 (pow.f64 x 4) 1/24 (cos.f64 y)) (fma.f64 x (*.f64 x -1/2) 1))
(+.f64 1 (fma.f64 x (*.f64 x -1/2) (fma.f64 (pow.f64 x 4) 1/24 (cos.f64 y))))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 1/24 (pow.f64 x 4)) (+.f64 (cos.f64 y) (*.f64 -1/720 (pow.f64 x 6))))))
(+.f64 1 (fma.f64 -1/2 (.f64 x x) (+.f64 (fma.f64 1/24 (pow.f64 x 4) (cos.f64 y)) (.f64 (pow.f64 x 6) -1/720))))
(+.f64 1 (fma.f64 (*.f64 x x) -1/2 (fma.f64 (pow.f64 x 4) 1/24 (fma.f64 (pow.f64 x 6) -1/720 (cos.f64 y)))))
(+.f64 (fma.f64 (pow.f64 x 4) 1/24 (fma.f64 (pow.f64 x 6) -1/720 (cos.f64 y))) (fma.f64 x (*.f64 x -1/2) 1))
(+.f64 1 (fma.f64 x (*.f64 x -1/2) (fma.f64 (pow.f64 x 4) 1/24 (fma.f64 (pow.f64 x 6) -1/720 (cos.f64 y)))))
(+.f64 1 (fma.f64 x (*.f64 x -1/2) (fma.f64 (pow.f64 x 6) -1/720 (fma.f64 (pow.f64 x 4) 1/24 (cos.f64 y)))))
(+.f64 (cos.f64 x) 1)
(+.f64 1 (cos.f64 x))
(+.f64 1 (+.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 y 2))))
(+.f64 1 (+.f64 (cos.f64 x) (.f64 (.f64 y y) -1/2)))
(+.f64 1 (fma.f64 (*.f64 y y) -1/2 (cos.f64 x)))
(+.f64 1 (fma.f64 y (*.f64 y -1/2) (cos.f64 x)))
(+.f64 1 (+.f64 (cos.f64 x) (+.f64 (.f64 -1/2 (pow.f64 y 2)) (.f64 1/24 (pow.f64 y 4)))))
(+.f64 1 (+.f64 (cos.f64 x) (fma.f64 -1/2 (.f64 y y) (.f64 (pow.f64 y 4) 1/24))))
(+.f64 1 (+.f64 (cos.f64 x) (fma.f64 (pow.f64 y 4) 1/24 (.f64 y (.f64 y -1/2)))))
(+.f64 1 (fma.f64 y (*.f64 y -1/2) (fma.f64 (pow.f64 y 4) 1/24 (cos.f64 x))))
(+.f64 (fma.f64 (pow.f64 y 4) 1/24 (cos.f64 x)) (fma.f64 y (*.f64 y -1/2) 1))
(+.f64 (.f64 -1/720 (pow.f64 y 6)) (+.f64 1 (+.f64 (cos.f64 x) (+.f64 (.f64 -1/2 (pow.f64 y 2)) (*.f64 1/24 (pow.f64 y 4))))))
(fma.f64 -1/720 (pow.f64 y 6) (+.f64 1 (+.f64 (cos.f64 x) (fma.f64 -1/2 (.f64 y y) (.f64 (pow.f64 y 4) 1/24)))))
(+.f64 (+.f64 (cos.f64 x) (fma.f64 (pow.f64 y 4) 1/24 (.f64 y (.f64 y -1/2)))) (fma.f64 (pow.f64 y 6) -1/720 1))
(+.f64 1 (fma.f64 (pow.f64 y 6) -1/720 (fma.f64 y (*.f64 y -1/2) (fma.f64 (pow.f64 y 4) 1/24 (cos.f64 x)))))
(+.f64 (fma.f64 y (*.f64 y -1/2) (fma.f64 (pow.f64 y 4) 1/24 (cos.f64 x))) (fma.f64 (pow.f64 y 6) -1/720 1))
(fma.f64 (pow.f64 y 6) -1/720 (+.f64 (fma.f64 (pow.f64 y 4) 1/24 (cos.f64 x)) (fma.f64 y (*.f64 y -1/2) 1)))

localize61.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(-.f64 (+.f64 15/2 (.f64 3/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))) (*.f64 3/2 (sqrt.f64 5)))
	0.3b	(*.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))
	0.7b	(.f64 3/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))
	2.0b	(-.f64 (cos.f64 x) 1)

Compiler

Compiled 152 to 111 computations (27% saved)

series1.0ms (0%)

Counts

1 → 4

Calls

3 calls:

Time

Variable

Point

Expression

1.0ms

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

0.0ms

-inf

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

0.0ms

inf

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

rewrite88.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

663×	`log-prod_binary64`
469×	`fma-def_binary64`
381×	`pow2_binary64`
266×	`fma-neg_binary64`
263×	`expm1-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	25
1	317	17
2	4186	17

Stop Event

1×	node limit

Counts

1 → 149

Calls

Call 1

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

Outputs

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#<rule egg-rr> (2) ((x +.f64 (fma.f64 (cos.f64 x) (+.f64 (sqrt.f64 45/4) -3/2) (-.f64 15/2 (sqrt.f64 45/4))) (fma.f64 (neg.f64 (sqrt.f64 45/4)) 1 (sqrt.f64 45/4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (cos.f64 x) (+.f64 (sqrt.f64 45/4) -3/2) (-.f64 15/2 (sqrt.f64 45/4))) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 45/4))) (cbrt.f64 45/4) (sqrt.f64 45/4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 (cos.f64 x) (+.f64 (sqrt.f64 45/4) -3/2) (-.f64 15/2 (sqrt.f64 45/4))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (sqrt.f64 45/4)) (fma.f64 (cos.f64 x) (+.f64 (sqrt.f64 45/4) -3/2) 15/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 45/4) -3/2)) (sqrt.f64 45/4)) 15/2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 (cos.f64 x) (+.f64 (sqrt.f64 45/4) -3/2) (-.f64 15/2 (sqrt.f64 45/4))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (cos.f64 x) (+.f64 (sqrt.f64 45/4) -3/2) (-.f64 15/2 (sqrt.f64 45/4)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (cos.f64 x) (+.f64 (sqrt.f64 45/4) -3/2) (-.f64 15/2 (sqrt.f64 45/4)))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (cos.f64 x) (+.f64 (sqrt.f64 45/4) -3/2) (-.f64 15/2 (sqrt.f64 45/4)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (cos.f64 x) (+.f64 (sqrt.f64 45/4) -3/2) (-.f64 15/2 (sqrt.f64 45/4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (cos.f64 x) (+.f64 (sqrt.f64 45/4) -3/2) (-.f64 15/2 (sqrt.f64 45/4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (cos.f64 x) (+.f64 (sqrt.f64 45/4) -3/2) (-.f64 15/2 (sqrt.f64 45/4)))) (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 x) (+.f64 (sqrt.f64 45/4) -3/2) (-.f64 15/2 (sqrt.f64 45/4)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 x) (+.f64 (sqrt.f64 45/4) -3/2) (-.f64 15/2 (sqrt.f64 45/4)))) 2) (cbrt.f64 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(#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 (cos.f64 x) (+.f64 (sqrt.f64 45/4) -3/2) 15/2) 2) -45/4) (+.f64 15/2 (fma.f64 (cos.f64 x) (+.f64 (sqrt.f64 45/4) -3/2) (sqrt.f64 45/4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 (cos.f64 x) (+.f64 (sqrt.f64 45/4) -3/2) 15/2) 3) (*.f64 (sqrt.f64 45/4) 45/4))) (neg.f64 (+.f64 (pow.f64 (fma.f64 (cos.f64 x) (+.f64 (sqrt.f64 45/4) -3/2) 15/2) 2) (fma.f64 (fma.f64 (cos.f64 x) (+.f64 (sqrt.f64 45/4) -3/2) 15/2) (sqrt.f64 45/4) 45/4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 (cos.f64 x) (+.f64 (sqrt.f64 45/4) -3/2) 15/2) 2) -45/4)) (neg.f64 (+.f64 15/2 (fma.f64 (cos.f64 x) (+.f64 (sqrt.f64 45/4) -3/2) (sqrt.f64 45/4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 3375/8 (pow.f64 (-.f64 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 45/4) -3/2)) (sqrt.f64 45/4)) 3)) (+.f64 225/4 (-.f64 (pow.f64 (-.f64 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 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(#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (cos.f64 x) (+.f64 (sqrt.f64 45/4) -3/2) (-.f64 15/2 (sqrt.f64 45/4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (cos.f64 x) (+.f64 (sqrt.f64 45/4) -3/2) (-.f64 15/2 (sqrt.f64 45/4))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (cos.f64 x) (+.f64 (sqrt.f64 45/4) -3/2) (-.f64 15/2 (sqrt.f64 45/4)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (cos.f64 x) (+.f64 (sqrt.f64 45/4) -3/2) (-.f64 15/2 (sqrt.f64 45/4)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 (pow.f64 (fma.f64 (cos.f64 x) (+.f64 (sqrt.f64 45/4) -3/2) 15/2) 2) (fma.f64 (fma.f64 (cos.f64 x) (+.f64 (sqrt.f64 45/4) -3/2) 15/2) (sqrt.f64 45/4) 45/4)) (-.f64 (pow.f64 (fma.f64 (cos.f64 x) (+.f64 (sqrt.f64 45/4) -3/2) 15/2) 3) (*.f64 (sqrt.f64 45/4) 45/4))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 15/2 (fma.f64 (cos.f64 x) (+.f64 (sqrt.f64 45/4) -3/2) (sqrt.f64 45/4))) (+.f64 (pow.f64 (fma.f64 (cos.f64 x) (+.f64 (sqrt.f64 45/4) -3/2) 15/2) 2) -45/4)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (cos.f64 x) (+.f64 (sqrt.f64 45/4) -3/2) (-.f64 15/2 (sqrt.f64 45/4))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (cos.f64 x) (+.f64 (sqrt.f64 45/4) -3/2) (-.f64 15/2 (sqrt.f64 45/4)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 (cos.f64 x) (+.f64 (sqrt.f64 45/4) -3/2) (-.f64 15/2 (sqrt.f64 45/4))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (+.f64 1 (expm1.f64 (fma.f64 (cos.f64 x) (+.f64 (sqrt.f64 45/4) -3/2) 15/2))) (exp.f64 (sqrt.f64 45/4))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (exp.f64 (fma.f64 (cos.f64 x) (+.f64 (sqrt.f64 45/4) -3/2) 15/2)) (+.f64 1 (expm1.f64 (sqrt.f64 45/4)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (+.f64 1 (expm1.f64 (fma.f64 (cos.f64 x) 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45/4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 3375/8 (pow.f64 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 45/4) -3/2)) 3)) (/.f64 1 (fma.f64 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 45/4) -3/2)) (fma.f64 (cos.f64 x) (+.f64 (sqrt.f64 45/4) -3/2) -15/2) 225/4)) (*.f64 (neg.f64 (sqrt.f64 45/4)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (sqrt.f64 45/4) (fma.f64 (cos.f64 x) (+.f64 (sqrt.f64 45/4) -3/2) 15/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 (fma.f64 (cos.f64 x) (+.f64 (sqrt.f64 45/4) -3/2) 15/2) 2) -45/4) (/.f64 1 (+.f64 15/2 (fma.f64 (cos.f64 x) (+.f64 (sqrt.f64 45/4) -3/2) (sqrt.f64 45/4)))) (fma.f64 -3/2 (sqrt.f64 5) (sqrt.f64 45/4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 (fma.f64 (cos.f64 x) (+.f64 (sqrt.f64 45/4) -3/2) 15/2) 2) -45/4) (/.f64 1 (+.f64 15/2 (fma.f64 (cos.f64 x) (+.f64 (sqrt.f64 45/4) -3/2) (sqrt.f64 45/4)))) (fma.f64 (neg.f64 (sqrt.f64 45/4)) 1 (sqrt.f64 45/4)))))) (#(struct:change 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(#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 45/4) -3/2) (cos.f64 x) (+.f64 15/2 (neg.f64 (sqrt.f64 45/4))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 45/4) -3/2)) (sqrt.f64 45/4))) 2) (cbrt.f64 (-.f64 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 45/4) -3/2)) (sqrt.f64 45/4))) 15/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (neg.f64 (sqrt.f64 45/4))) 2) (cbrt.f64 (neg.f64 (sqrt.f64 45/4))) (fma.f64 (cos.f64 x) (+.f64 (sqrt.f64 45/4) -3/2) 15/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (-.f64 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 45/4) -3/2)) (sqrt.f64 45/4))) (sqrt.f64 (-.f64 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 45/4) -3/2)) (sqrt.f64 45/4))) 15/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (neg.f64 (sqrt.f64 45/4))) (sqrt.f64 (neg.f64 (sqrt.f64 45/4))) (fma.f64 (cos.f64 x) (+.f64 (sqrt.f64 45/4) -3/2) 15/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (sqrt.f64 5)) 3/2 (fma.f64 (cos.f64 x) (+.f64 (sqrt.f64 45/4) -3/2) 15/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (sqrt.f64 (sqrt.f64 45/4))) (sqrt.f64 (sqrt.f64 45/4)) (fma.f64 (cos.f64 x) (+.f64 (sqrt.f64 45/4) -3/2) 15/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 45/4) -3/2))) (sqrt.f64 (sqrt.f64 45/4))) (-.f64 (sqrt.f64 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 45/4) -3/2))) (sqrt.f64 (sqrt.f64 45/4))) 15/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (fma.f64 (cos.f64 x) (+.f64 (sqrt.f64 45/4) -3/2) 15/2)) (sqrt.f64 (sqrt.f64 45/4))) (-.f64 (sqrt.f64 (fma.f64 (cos.f64 x) (+.f64 (sqrt.f64 45/4) -3/2) 15/2)) (sqrt.f64 (sqrt.f64 45/4))) (fma.f64 -3/2 (sqrt.f64 5) (sqrt.f64 45/4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (fma.f64 (cos.f64 x) (+.f64 (sqrt.f64 45/4) -3/2) 15/2)) (sqrt.f64 (sqrt.f64 45/4))) (-.f64 (sqrt.f64 (fma.f64 (cos.f64 x) (+.f64 (sqrt.f64 45/4) -3/2) 15/2)) (sqrt.f64 (sqrt.f64 45/4))) (fma.f64 (neg.f64 (sqrt.f64 45/4)) 1 (sqrt.f64 45/4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (fma.f64 (cos.f64 x) (+.f64 (sqrt.f64 45/4) -3/2) 15/2)) (sqrt.f64 (sqrt.f64 45/4))) (-.f64 (sqrt.f64 (fma.f64 (cos.f64 x) (+.f64 (sqrt.f64 45/4) -3/2) 15/2)) (sqrt.f64 (sqrt.f64 45/4))) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 45/4))) (cbrt.f64 45/4) (sqrt.f64 45/4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (cbrt.f64 45/4)) (cbrt.f64 (sqrt.f64 45/4)) (fma.f64 (cos.f64 x) (+.f64 (sqrt.f64 45/4) -3/2) 15/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 3/2 (cos.f64 x)) (+.f64 (sqrt.f64 5) -1) (-.f64 15/2 (sqrt.f64 45/4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 3/2 (cos.f64 x)) (+.f64 (sqrt.f64 5) -1) (+.f64 15/2 (neg.f64 (sqrt.f64 45/4))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 3/2 (pow.f64 (cbrt.f64 (*.f64 (+.f64 (sqrt.f64 5) -1) (cos.f64 x))) 2)) (cbrt.f64 (*.f64 (+.f64 (sqrt.f64 5) -1) (cos.f64 x))) (-.f64 15/2 (sqrt.f64 45/4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 3/2 (pow.f64 (cbrt.f64 (*.f64 (+.f64 (sqrt.f64 5) -1) (cos.f64 x))) 2)) (cbrt.f64 (*.f64 (+.f64 (sqrt.f64 5) -1) (cos.f64 x))) (+.f64 15/2 (neg.f64 (sqrt.f64 45/4))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 3/2 (sqrt.f64 (*.f64 (+.f64 (sqrt.f64 5) -1) (cos.f64 x)))) (sqrt.f64 (*.f64 (+.f64 (sqrt.f64 5) -1) (cos.f64 x))) (-.f64 15/2 (sqrt.f64 45/4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 3/2 (sqrt.f64 (*.f64 (+.f64 (sqrt.f64 5) -1) (cos.f64 x)))) (sqrt.f64 (*.f64 (+.f64 (sqrt.f64 5) -1) (cos.f64 x))) (+.f64 15/2 (neg.f64 (sqrt.f64 45/4))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (+.f64 (sqrt.f64 45/4) -3/2) 1) (cos.f64 x) (-.f64 15/2 (sqrt.f64 45/4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (+.f64 (sqrt.f64 45/4) -3/2) 1) (cos.f64 x) (+.f64 15/2 (neg.f64 (sqrt.f64 45/4))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (+.f64 (sqrt.f64 45/4) -3/2) (pow.f64 (cbrt.f64 (cos.f64 x)) 2)) (cbrt.f64 (cos.f64 x)) (-.f64 15/2 (sqrt.f64 45/4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (+.f64 (sqrt.f64 45/4) -3/2) (pow.f64 (cbrt.f64 (cos.f64 x)) 2)) (cbrt.f64 (cos.f64 x)) (+.f64 15/2 (neg.f64 (sqrt.f64 45/4))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (+.f64 (sqrt.f64 45/4) -3/2) (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)) (-.f64 15/2 (sqrt.f64 45/4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (+.f64 (sqrt.f64 45/4) -3/2) (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)) (+.f64 15/2 (neg.f64 (sqrt.f64 45/4))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -3/2 (cbrt.f64 5)) (cbrt.f64 (sqrt.f64 5)) (fma.f64 (cos.f64 x) (+.f64 (sqrt.f64 45/4) -3/2) 15/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -3/2 (pow.f64 5 1/4)) (pow.f64 5 1/4) (fma.f64 (cos.f64 x) (+.f64 (sqrt.f64 45/4) -3/2) 15/2))))))

simplify46.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

831×	`cancel-sign-sub-inv_binary64`
792×	`fma-neg_binary64`
546×	`associate-l_binary64`
424×	`associate-r_binary64`
408×	`distribute-rgt-out_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	36	168
1	102	166
2	314	135
3	1205	123
4	3857	76

Stop Event

1×	node limit

Counts

153 → 157

Calls

Call 1

Inputs
(-.f64 (+.f64 (.f64 3/2 (-.f64 (sqrt.f64 5) 1)) 15/2) (.f64 3/2 (sqrt.f64 5)))
(-.f64 (+.f64 (.f64 3/2 (-.f64 (sqrt.f64 5) 1)) (+.f64 15/2 (.f64 -3/4 (.f64 (-.f64 (sqrt.f64 5) 1) (pow.f64 x 2))))) (.f64 3/2 (sqrt.f64 5)))
(-.f64 (+.f64 (.f64 3/2 (-.f64 (sqrt.f64 5) 1)) (+.f64 15/2 (+.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 3/2 (sqrt.f64 5)))
(-.f64 (+.f64 (.f64 -1/480 (.f64 (-.f64 (sqrt.f64 5) 1) (pow.f64 x 6))) (+.f64 (.f64 3/2 (-.f64 (sqrt.f64 5) 1)) (+.f64 15/2 (+.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 3/2 (sqrt.f64 5)))

Outputs
(-.f64 (+.f64 (.f64 3/2 (-.f64 (sqrt.f64 5) 1)) 15/2) (.f64 3/2 (sqrt.f64 5)))
(+.f64 (fma.f64 3/2 (+.f64 (sqrt.f64 5) -1) 15/2) (*.f64 -3/2 (sqrt.f64 5)))
(+.f64 (fma.f64 3/2 (+.f64 (sqrt.f64 5) -1) 15/2) (*.f64 (sqrt.f64 5) -3/2))
(fma.f64 (sqrt.f64 5) -3/2 (+.f64 (*.f64 3/2 (sqrt.f64 5)) 6))
6
(-.f64 (+.f64 (.f64 3/2 (-.f64 (sqrt.f64 5) 1)) (+.f64 15/2 (.f64 -3/4 (.f64 (-.f64 (sqrt.f64 5) 1) (pow.f64 x 2))))) (.f64 3/2 (sqrt.f64 5)))
(+.f64 (+.f64 (fma.f64 3/2 (+.f64 (sqrt.f64 5) -1) 15/2) (.f64 -3/4 (.f64 (+.f64 (sqrt.f64 5) -1) (.f64 x x)))) (.f64 -3/2 (sqrt.f64 5)))
(+.f64 (fma.f64 3/2 (+.f64 (sqrt.f64 5) -1) (fma.f64 -3/4 (.f64 (+.f64 (sqrt.f64 5) -1) (.f64 x x)) 15/2)) (*.f64 (sqrt.f64 5) -3/2))
(fma.f64 (sqrt.f64 5) -3/2 (+.f64 15/2 (.f64 (+.f64 (sqrt.f64 5) -1) (+.f64 3/2 (.f64 -3/4 (*.f64 x x))))))
(+.f64 15/2 (fma.f64 (+.f64 (sqrt.f64 5) -1) (+.f64 3/2 (.f64 -3/4 (.f64 x x))) (*.f64 (sqrt.f64 5) -3/2)))
(fma.f64 x (*.f64 x (fma.f64 (sqrt.f64 5) -3/4 3/4)) 6)
(-.f64 (+.f64 (.f64 3/2 (-.f64 (sqrt.f64 5) 1)) (+.f64 15/2 (+.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 3/2 (sqrt.f64 5)))
(+.f64 (+.f64 (fma.f64 3/2 (+.f64 (sqrt.f64 5) -1) 15/2) (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))))) (*.f64 -3/2 (sqrt.f64 5)))
(+.f64 (fma.f64 3/2 (+.f64 (sqrt.f64 5) -1) 15/2) (-.f64 (fma.f64 -3/4 (.f64 (+.f64 (sqrt.f64 5) -1) (.f64 x x)) (.f64 (pow.f64 x 4) (+.f64 (.f64 (sqrt.f64 5) 1/16) -1/16))) (*.f64 3/2 (sqrt.f64 5))))
(fma.f64 (sqrt.f64 5) -3/2 (+.f64 (fma.f64 (pow.f64 x 4) (fma.f64 (sqrt.f64 5) 1/16 -1/16) 15/2) (.f64 (+.f64 (sqrt.f64 5) -1) (+.f64 3/2 (.f64 -3/4 (*.f64 x x))))))
(fma.f64 (sqrt.f64 5) -3/2 (+.f64 15/2 (.f64 (+.f64 (sqrt.f64 5) -1) (+.f64 3/2 (+.f64 (.f64 -3/4 (.f64 x x)) (.f64 1/16 (pow.f64 x 4)))))))
(fma.f64 (+.f64 (sqrt.f64 5) -1) (+.f64 (.f64 -3/4 (.f64 x x)) (*.f64 1/16 (pow.f64 x 4))) 6)
(-.f64 (+.f64 (.f64 -1/480 (.f64 (-.f64 (sqrt.f64 5) 1) (pow.f64 x 6))) (+.f64 (.f64 3/2 (-.f64 (sqrt.f64 5) 1)) (+.f64 15/2 (+.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 3/2 (sqrt.f64 5)))
(+.f64 (fma.f64 -1/480 (.f64 (+.f64 (sqrt.f64 5) -1) (pow.f64 x 6)) (+.f64 (fma.f64 3/2 (+.f64 (sqrt.f64 5) -1) 15/2) (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)))))) (.f64 -3/2 (sqrt.f64 5)))
(+.f64 (fma.f64 -1/480 (.f64 (+.f64 (sqrt.f64 5) -1) (pow.f64 x 6)) (+.f64 (fma.f64 3/2 (+.f64 (sqrt.f64 5) -1) 15/2) (fma.f64 -3/4 (.f64 (+.f64 (sqrt.f64 5) -1) (.f64 x x)) (.f64 (pow.f64 x 4) (+.f64 (.f64 (sqrt.f64 5) 1/16) -1/16))))) (.f64 (sqrt.f64 5) -3/2))
(fma.f64 (sqrt.f64 5) -3/2 (+.f64 (fma.f64 (.f64 x x) (fma.f64 (sqrt.f64 5) -3/4 3/4) (fma.f64 (pow.f64 x 4) (fma.f64 (sqrt.f64 5) 1/16 -1/16) 15/2)) (.f64 (+.f64 (sqrt.f64 5) -1) (+.f64 3/2 (*.f64 -1/480 (pow.f64 x 6))))))
(fma.f64 (sqrt.f64 5) -3/2 (+.f64 15/2 (.f64 (+.f64 (sqrt.f64 5) -1) (+.f64 (+.f64 3/2 (.f64 -1/480 (pow.f64 x 6))) (+.f64 (.f64 -3/4 (.f64 x x)) (*.f64 1/16 (pow.f64 x 4)))))))
(+.f64 6 (.f64 (+.f64 (sqrt.f64 5) -1) (+.f64 (+.f64 (.f64 -3/4 (.f64 x x)) (.f64 1/16 (pow.f64 x 4))) (*.f64 -1/480 (pow.f64 x 6)))))

localize81.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.3b	(*.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))
✓	0.3b	(pow.f64 (+.f64 (cos.f64 x) -1) 2)
	0.7b	(.f64 3/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))
✓	2.0b	(+.f64 (cos.f64 x) -1)

Compiler

Compiled 189 to 148 computations (21.7% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite59.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

677×	`pow1_binary64`
629×	`add-log-exp_binary64`
628×	`log1p-expm1-u_binary64`
628×	`expm1-log1p-u_binary64`
617×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	15
1	148	15
2	1693	15

Stop Event

1×	node limit

Counts

2 → 62

Calls

Call 1

Inputs
(+.f64 (cos.f64 x) -1)
(pow.f64 (+.f64 (cos.f64 x) -1) 2)

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

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

simplify79.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

836×	`distribute-rgt-out_binary64`
775×	`distribute-lft-out_binary64`
644×	`fma-def_binary64`
606×	`associate-l_binary64`
459×	`associate-r_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	260
1	107	260
2	244	260
3	783	260
4	3620	260
5	6922	260
6	7828	260

Stop Event

1×	node limit

Counts

86 → 82

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)
(*.f64 1/4 (pow.f64 x 4))
(+.f64 (.f64 -1/24 (pow.f64 x 6)) (.f64 1/4 (pow.f64 x 4)))
(+.f64 (.f64 -1/24 (pow.f64 x 6)) (+.f64 (.f64 1/320 (pow.f64 x 8)) (*.f64 1/4 (pow.f64 x 4))))
(+.f64 (.f64 -1/24 (pow.f64 x 6)) (+.f64 (.f64 1/320 (pow.f64 x 8)) (+.f64 (.f64 1/4 (pow.f64 x 4)) (.f64 -17/120960 (pow.f64 x 10)))))
(pow.f64 (-.f64 (cos.f64 x) 1) 2)
(pow.f64 (-.f64 (cos.f64 x) 1) 2)
(pow.f64 (-.f64 (cos.f64 x) 1) 2)
(pow.f64 (-.f64 (cos.f64 x) 1) 2)
(pow.f64 (-.f64 (cos.f64 x) 1) 2)
(pow.f64 (-.f64 (cos.f64 x) 1) 2)
(pow.f64 (-.f64 (cos.f64 x) 1) 2)
(pow.f64 (-.f64 (cos.f64 x) 1) 2)

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 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 (.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 -1/2 (.f64 x x) (fma.f64 1/24 (pow.f64 x 4) (fma.f64 -1/720 (pow.f64 x 6) (.f64 1/40320 (pow.f64 x 8)))))
(fma.f64 (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))))
(-.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)
(*.f64 1/4 (pow.f64 x 4))
(*.f64 (pow.f64 x 4) 1/4)
(+.f64 (.f64 -1/24 (pow.f64 x 6)) (.f64 1/4 (pow.f64 x 4)))
(fma.f64 -1/24 (pow.f64 x 6) (*.f64 (pow.f64 x 4) 1/4))
(fma.f64 (pow.f64 x 4) 1/4 (*.f64 (pow.f64 x 6) -1/24))
(+.f64 (.f64 -1/24 (pow.f64 x 6)) (+.f64 (.f64 1/320 (pow.f64 x 8)) (*.f64 1/4 (pow.f64 x 4))))
(fma.f64 -1/24 (pow.f64 x 6) (fma.f64 1/320 (pow.f64 x 8) (*.f64 (pow.f64 x 4) 1/4)))
(fma.f64 (pow.f64 x 6) -1/24 (fma.f64 (pow.f64 x 4) 1/4 (*.f64 (pow.f64 x 8) 1/320)))
(fma.f64 (pow.f64 x 4) 1/4 (fma.f64 (pow.f64 x 6) -1/24 (*.f64 (pow.f64 x 8) 1/320)))
(fma.f64 (pow.f64 x 4) (fma.f64 (pow.f64 x 4) 1/320 1/4) (*.f64 (pow.f64 x 6) -1/24))
(+.f64 (.f64 -1/24 (pow.f64 x 6)) (+.f64 (.f64 1/320 (pow.f64 x 8)) (+.f64 (.f64 1/4 (pow.f64 x 4)) (.f64 -17/120960 (pow.f64 x 10)))))
(fma.f64 -1/24 (pow.f64 x 6) (fma.f64 1/320 (pow.f64 x 8) (fma.f64 1/4 (pow.f64 x 4) (*.f64 -17/120960 (pow.f64 x 10)))))
(fma.f64 (pow.f64 x 6) -1/24 (fma.f64 (pow.f64 x 8) 1/320 (fma.f64 (pow.f64 x 4) 1/4 (*.f64 -17/120960 (pow.f64 x 10)))))
(fma.f64 (pow.f64 x 4) 1/4 (fma.f64 (pow.f64 x 6) -1/24 (fma.f64 (pow.f64 x 8) 1/320 (*.f64 -17/120960 (pow.f64 x 10)))))
(pow.f64 (-.f64 (cos.f64 x) 1) 2)
(pow.f64 (+.f64 (cos.f64 x) -1) 2)
(pow.f64 (-.f64 (cos.f64 x) 1) 2)
(pow.f64 (+.f64 (cos.f64 x) -1) 2)
(pow.f64 (-.f64 (cos.f64 x) 1) 2)
(pow.f64 (+.f64 (cos.f64 x) -1) 2)
(pow.f64 (-.f64 (cos.f64 x) 1) 2)
(pow.f64 (+.f64 (cos.f64 x) -1) 2)
(pow.f64 (-.f64 (cos.f64 x) 1) 2)
(pow.f64 (+.f64 (cos.f64 x) -1) 2)
(pow.f64 (-.f64 (cos.f64 x) 1) 2)
(pow.f64 (+.f64 (cos.f64 x) -1) 2)
(pow.f64 (-.f64 (cos.f64 x) 1) 2)
(pow.f64 (+.f64 (cos.f64 x) -1) 2)
(pow.f64 (-.f64 (cos.f64 x) 1) 2)
(pow.f64 (+.f64 (cos.f64 x) -1) 2)

localize107.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.4b	(.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x)) (+.f64 (*.f64 -1/16 (sin.f64 x)) (sin.f64 y)))))
✓	0.7b	(.f64 (+.f64 (sqrt.f64 5) -1) (+.f64 3/2 (.f64 -3/4 (*.f64 x x))))
	1.0b	(-.f64 9/2 (*.f64 3/2 (sqrt.f64 5)))
	2.6b	(-.f64 (cos.f64 x) (cos.f64 y))

Compiler

Compiled 284 to 174 computations (38.7% saved)

series6.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time

Variable

Point

Expression

4.0ms

(*.f64 (+.f64 (sqrt.f64 5) -1) (+.f64 3/2 (*.f64 -3/4 (*.f64 x x))))

1.0ms

inf

(*.f64 (+.f64 (sqrt.f64 5) -1) (+.f64 3/2 (*.f64 -3/4 (*.f64 x x))))

0.0ms

-inf

(*.f64 (+.f64 (sqrt.f64 5) -1) (+.f64 3/2 (*.f64 -3/4 (*.f64 x x))))

rewrite70.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

543×	`log-prod_binary64`
372×	`pow-prod-down_binary64`
355×	`prod-diff_binary64`
318×	`pow2_binary64`
220×	`pow1/3_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	18
1	267	16
2	3385	16

Stop Event

1×	node limit

Counts

1 → 76

Calls

Call 1

Inputs
(.f64 (+.f64 (sqrt.f64 5) -1) (+.f64 3/2 (.f64 -3/4 (*.f64 x x))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (sqrt.f64 5) 3/2 -3/2) (*.f64 (*.f64 -3/4 x) (*.f64 x (+.f64 (sqrt.f64 5) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 -3/4 x) (*.f64 x (+.f64 (sqrt.f64 5) -1))) (fma.f64 (sqrt.f64 5) 3/2 -3/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (+.f64 (sqrt.f64 5) -1) (fma.f64 -3/4 (*.f64 x x) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 5) (fma.f64 -3/4 (*.f64 x x) 3/2)) (*.f64 -1 (fma.f64 -3/4 (*.f64 x x) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -1 (fma.f64 -3/4 (*.f64 x x) 3/2)) (*.f64 (sqrt.f64 5) (fma.f64 -3/4 (*.f64 x x) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (fma.f64 (sqrt.f64 5) 3/2 -3/2) 1) (*.f64 (*.f64 (*.f64 -3/4 x) (*.f64 x (+.f64 (sqrt.f64 5) -1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (fma.f64 -3/4 (*.f64 x x) 3/2) (sqrt.f64 5)) (*.f64 (fma.f64 -3/4 (*.f64 x x) 3/2) -1))))) 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simplify50.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

892×	`distribute-rgt-in_binary64`
891×	`distribute-lft-in_binary64`
585×	`fma-neg_binary64`
416×	`associate-l_binary64`
356×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	14	255
1	30	255
2	73	195
3	193	177
4	587	177
5	2258	177
6	4339	177

Stop Event

1×	node limit

Counts

88 → 82

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

localize191.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.5b	(pow.f64 (cbrt.f64 (*.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (sqrt.f64 2))) 3)
	1.0b	(-.f64 3 (sqrt.f64 5))
	2.6b	(-.f64 (cos.f64 x) (cos.f64 y))
✓	3.7b	(-.f64 (exp.f64 (log1p.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (sqrt.f64 2))) 3) (.f64 (+.f64 (sin.f64 x) (.f64 (sin.f64 y) -1/16)) (+.f64 (sin.f64 y) (*.f64 (sin.f64 x) -1/16)))))) 1)

Compiler

Compiled 389 to 248 computations (36.2% saved)

series104.0ms (0.3%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
27.0ms	y	@	-inf	(-.f64 (exp.f64 (log1p.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (sqrt.f64 2))) 3) (.f64 (+.f64 (sin.f64 x) (.f64 (sin.f64 y) -1/16)) (+.f64 (sin.f64 y) (*.f64 (sin.f64 x) -1/16)))))) 1)
25.0ms	x	@	-inf	(-.f64 (exp.f64 (log1p.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (sqrt.f64 2))) 3) (.f64 (+.f64 (sin.f64 x) (.f64 (sin.f64 y) -1/16)) (+.f64 (sin.f64 y) (*.f64 (sin.f64 x) -1/16)))))) 1)
11.0ms	x	@	inf	(-.f64 (exp.f64 (log1p.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (sqrt.f64 2))) 3) (.f64 (+.f64 (sin.f64 x) (.f64 (sin.f64 y) -1/16)) (+.f64 (sin.f64 y) (*.f64 (sin.f64 x) -1/16)))))) 1)
8.0ms	y	@	inf	(-.f64 (exp.f64 (log1p.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (sqrt.f64 2))) 3) (.f64 (+.f64 (sin.f64 x) (.f64 (sin.f64 y) -1/16)) (+.f64 (sin.f64 y) (*.f64 (sin.f64 x) -1/16)))))) 1)
7.0ms	x	@	-inf	(pow.f64 (cbrt.f64 (*.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (sqrt.f64 2))) 3)

rewrite118.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

439×	`log1p-udef_binary64`
438×	`expm1-udef_binary64`
264×	`add-sqr-sqrt_binary64`
254×	`pow1_binary64`
252×	`*-un-lft-identity_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	25	52
1	554	48
2	7172	48

Stop Event

1×	node limit

Counts

2 → 109

Calls

Call 1

Inputs

(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (sqrt.f64 2))) 3) (*.f64 (+.f64 (sin.f64 x) (*.f64 (sin.f64 y) -1/16)) (+.f64 (sin.f64 y) (*.f64 (sin.f64 x) -1/16)))))) 1)

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

Outputs

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

simplify119.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

528×	`associate-*l/_binary64`
471×	`associate-r_binary64`
396×	`associate-l_binary64`
328×	`fma-def_binary64`
291×	`*-commutative_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	325	4177
1	1184	3912
2	5437	3549

Stop Event

1×	node limit

Counts

157 → 144

Calls

Call 1

Inputs
(.f64 -1/16 (.f64 (sqrt.f64 2) (*.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2))))
(+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2)))) (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (.f64 (+.f64 (*.f64 1/256 (sin.f64 y)) (sin.f64 y)) x))))
(+.f64 (.f64 (+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2)))) 1) (.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 (pow.f64 (-.f64 1 (cos.f64 y)) 2) (pow.f64 (+.f64 (.f64 1/256 (sin.f64 y)) (sin.f64 y)) 2))) (pow.f64 (+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2)))) 1) 2))) (.f64 1/2 (+.f64 (.f64 2 (/.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 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2)))) 1))) (.f64 -1 (/.f64 (.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 (pow.f64 (-.f64 1 (cos.f64 y)) 2) (pow.f64 (+.f64 (.f64 1/256 (sin.f64 y)) (sin.f64 y)) 2))) (pow.f64 (+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2)))) 1) 2)))))) (pow.f64 x 2))) (+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2)))) (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (.f64 (+.f64 (.f64 1/256 (sin.f64 y)) (sin.f64 y)) x)))))
(+.f64 (.f64 (+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2)))) 1) (.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 (pow.f64 (-.f64 1 (cos.f64 y)) 2) (pow.f64 (+.f64 (.f64 1/256 (sin.f64 y)) (sin.f64 y)) 2))) (pow.f64 (+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2)))) 1) 2))) (.f64 1/2 (+.f64 (.f64 2 (/.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 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2)))) 1))) (.f64 -1 (/.f64 (.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 (pow.f64 (-.f64 1 (cos.f64 y)) 2) (pow.f64 (+.f64 (.f64 1/256 (sin.f64 y)) (sin.f64 y)) 2))) (pow.f64 (+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2)))) 1) 2)))))) (pow.f64 x 2))) (+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2)))) (+.f64 (.f64 (+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2)))) 1) (.f64 (+.f64 (.f64 1/6 (/.f64 (.f64 (pow.f64 (sqrt.f64 2) 3) (.f64 (pow.f64 (-.f64 1 (cos.f64 y)) 3) (pow.f64 (+.f64 (.f64 1/256 (sin.f64 y)) (sin.f64 y)) 3))) (pow.f64 (+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2)))) 1) 3))) (+.f64 (.f64 1/2 (/.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (.f64 (+.f64 (.f64 1/256 (sin.f64 y)) (sin.f64 y)) (+.f64 (.f64 2 (/.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 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2)))) 1))) (.f64 -1 (/.f64 (.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 (pow.f64 (-.f64 1 (cos.f64 y)) 2) (pow.f64 (+.f64 (.f64 1/256 (sin.f64 y)) (sin.f64 y)) 2))) (pow.f64 (+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2)))) 1) 2))))))) (+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2)))) 1))) (.f64 1/6 (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 (sqrt.f64 2) 3) (.f64 (pow.f64 (-.f64 1 (cos.f64 y)) 3) (pow.f64 (+.f64 (.f64 1/256 (sin.f64 y)) (sin.f64 y)) 3))) (pow.f64 (+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2)))) 1) 3))) (+.f64 (.f64 6 (/.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 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2)))) 1))) (.f64 -6 (/.f64 (.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 (-.f64 1 (cos.f64 y)) (.f64 (+.f64 (.f64 1/32 (pow.f64 (sin.f64 y) 2)) (.f64 -1/16 (-.f64 1 (cos.f64 y)))) (+.f64 (.f64 1/256 (sin.f64 y)) (sin.f64 y))))) (pow.f64 (+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2)))) 1) 2)))))))) (pow.f64 x 3))) (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (.f64 (+.f64 (.f64 1/256 (sin.f64 y)) (sin.f64 y)) x))))))
(.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x)) (+.f64 (*.f64 -1/16 (sin.f64 x)) (sin.f64 y)))))
(.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x)) (+.f64 (*.f64 -1/16 (sin.f64 x)) (sin.f64 y)))))
(.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x)) (+.f64 (*.f64 -1/16 (sin.f64 x)) (sin.f64 y)))))
(.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x)) (+.f64 (*.f64 -1/16 (sin.f64 x)) (sin.f64 y)))))
(.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x)) (+.f64 (*.f64 -1/16 (sin.f64 x)) (sin.f64 y)))))
(.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x)) (+.f64 (*.f64 -1/16 (sin.f64 x)) (sin.f64 y)))))
(.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x)) (+.f64 (*.f64 -1/16 (sin.f64 x)) (sin.f64 y)))))
(.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x)) (+.f64 (*.f64 -1/16 (sin.f64 x)) (sin.f64 y)))))
(.f64 -1/16 (.f64 (sqrt.f64 2) (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))
(+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1)))) (.f64 (sqrt.f64 2) (.f64 y (.f64 (-.f64 (cos.f64 x) 1) (+.f64 (*.f64 1/256 (sin.f64 x)) (sin.f64 x))))))
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(.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x)) (+.f64 (*.f64 -1/16 (sin.f64 x)) (sin.f64 y)))))
(.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x)) (+.f64 (*.f64 -1/16 (sin.f64 x)) (sin.f64 y)))))
(.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x)) (+.f64 (*.f64 -1/16 (sin.f64 x)) (sin.f64 y)))))
(.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x)) (+.f64 (*.f64 -1/16 (sin.f64 x)) (sin.f64 y)))))
(.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x)) (+.f64 (*.f64 -1/16 (sin.f64 x)) (sin.f64 y)))))
(.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x)) (+.f64 (*.f64 -1/16 (sin.f64 x)) (sin.f64 y)))))
(.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x)) (+.f64 (*.f64 -1/16 (sin.f64 x)) (sin.f64 y)))))
(.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x)) (+.f64 (*.f64 -1/16 (sin.f64 x)) (sin.f64 y)))))
(.f64 (.f64 (sqrt.f64 2) (-.f64 1 (cos.f64 y))) (pow.f64 1 1/3))
(+.f64 (.f64 (+.f64 (.f64 -1/6 (.f64 (sqrt.f64 2) (pow.f64 1 1/3))) (.f64 -1/3 (.f64 (sqrt.f64 2) (pow.f64 1 1/3)))) (pow.f64 x 2)) (.f64 (*.f64 (sqrt.f64 2) (-.f64 1 (cos.f64 y))) (pow.f64 1 1/3)))
(+.f64 (.f64 (+.f64 (.f64 -1/6 (.f64 (sqrt.f64 2) (pow.f64 1 1/3))) (.f64 -1/3 (.f64 (sqrt.f64 2) (pow.f64 1 1/3)))) (pow.f64 x 2)) (+.f64 (.f64 (.f64 (sqrt.f64 2) (-.f64 1 (cos.f64 y))) (pow.f64 1 1/3)) (.f64 (+.f64 (.f64 (pow.f64 (.f64 (sqrt.f64 2) (.f64 1 (-.f64 1 (cos.f64 y)))) 1/3) (+.f64 (.f64 1/36 (pow.f64 (/.f64 (.f64 (pow.f64 (sqrt.f64 2) 2) 1) (pow.f64 (-.f64 1 (cos.f64 y)) 4)) 1/3)) (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (.f64 (sqrt.f64 2) (-.f64 1 (cos.f64 y)))) 1/3) (-.f64 (.f64 1/24 (sqrt.f64 2)) (.f64 1/12 (/.f64 (sqrt.f64 2) (-.f64 1 (cos.f64 y))))))))) (+.f64 (.f64 1/3 (.f64 (pow.f64 1 1/3) (-.f64 (.f64 1/24 (sqrt.f64 2)) (.f64 1/12 (/.f64 (sqrt.f64 2) (-.f64 1 (cos.f64 y))))))) (.f64 1/18 (.f64 (/.f64 (sqrt.f64 2) (-.f64 1 (cos.f64 y))) (pow.f64 1 1/3))))) (pow.f64 x 4))))
(+.f64 (.f64 (+.f64 (.f64 -1/6 (.f64 (sqrt.f64 2) (pow.f64 1 1/3))) (.f64 -1/3 (.f64 (sqrt.f64 2) (pow.f64 1 1/3)))) (pow.f64 x 2)) (+.f64 (.f64 (+.f64 (.f64 -1/6 (.f64 (pow.f64 (/.f64 (.f64 (sqrt.f64 2) 1) (pow.f64 (-.f64 1 (cos.f64 y)) 2)) 1/3) (+.f64 (.f64 1/36 (pow.f64 (/.f64 (.f64 (pow.f64 (sqrt.f64 2) 2) 1) (pow.f64 (-.f64 1 (cos.f64 y)) 4)) 1/3)) (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (.f64 (sqrt.f64 2) (-.f64 1 (cos.f64 y)))) 1/3) (-.f64 (.f64 1/24 (sqrt.f64 2)) (.f64 1/12 (/.f64 (sqrt.f64 2) (-.f64 1 (cos.f64 y)))))))))) (+.f64 (.f64 (pow.f64 (.f64 (sqrt.f64 2) (.f64 1 (-.f64 1 (cos.f64 y)))) 1/3) (+.f64 (.f64 -1/9 (.f64 (pow.f64 (/.f64 1 (.f64 (sqrt.f64 2) (pow.f64 (-.f64 1 (cos.f64 y)) 4))) 1/3) (-.f64 (.f64 1/24 (sqrt.f64 2)) (.f64 1/12 (/.f64 (sqrt.f64 2) (-.f64 1 (cos.f64 y))))))) (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (.f64 (sqrt.f64 2) (-.f64 1 (cos.f64 y)))) 1/3) (-.f64 (.f64 -1/720 (sqrt.f64 2)) (+.f64 (.f64 -1/3 (/.f64 (-.f64 (.f64 1/24 (sqrt.f64 2)) (.f64 1/12 (/.f64 (sqrt.f64 2) (-.f64 1 (cos.f64 y))))) (-.f64 1 (cos.f64 y)))) (.f64 -1/216 (/.f64 (sqrt.f64 2) (pow.f64 (-.f64 1 (cos.f64 y)) 2))))))))) (+.f64 (.f64 1/3 (.f64 (pow.f64 1 1/3) (-.f64 (.f64 -1/720 (sqrt.f64 2)) (+.f64 (.f64 -1/3 (/.f64 (-.f64 (.f64 1/24 (sqrt.f64 2)) (.f64 1/12 (/.f64 (sqrt.f64 2) (-.f64 1 (cos.f64 y))))) (-.f64 1 (cos.f64 y)))) (.f64 -1/216 (/.f64 (sqrt.f64 2) (pow.f64 (-.f64 1 (cos.f64 y)) 2))))))) (.f64 -1/9 (.f64 (pow.f64 1 1/3) (/.f64 (-.f64 (.f64 1/24 (sqrt.f64 2)) (.f64 1/12 (/.f64 (sqrt.f64 2) (-.f64 1 (cos.f64 y))))) (-.f64 1 (cos.f64 y)))))))) (pow.f64 x 6)) (+.f64 (.f64 (.f64 (sqrt.f64 2) (-.f64 1 (cos.f64 y))) (pow.f64 1 1/3)) (.f64 (+.f64 (.f64 (pow.f64 (.f64 (sqrt.f64 2) (.f64 1 (-.f64 1 (cos.f64 y)))) 1/3) (+.f64 (.f64 1/36 (pow.f64 (/.f64 (.f64 (pow.f64 (sqrt.f64 2) 2) 1) (pow.f64 (-.f64 1 (cos.f64 y)) 4)) 1/3)) (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (.f64 (sqrt.f64 2) (-.f64 1 (cos.f64 y)))) 1/3) (-.f64 (.f64 1/24 (sqrt.f64 2)) (.f64 1/12 (/.f64 (sqrt.f64 2) (-.f64 1 (cos.f64 y))))))))) (+.f64 (.f64 1/3 (.f64 (pow.f64 1 1/3) (-.f64 (.f64 1/24 (sqrt.f64 2)) (.f64 1/12 (/.f64 (sqrt.f64 2) (-.f64 1 (cos.f64 y))))))) (.f64 1/18 (.f64 (/.f64 (sqrt.f64 2) (-.f64 1 (cos.f64 y))) (pow.f64 1 1/3))))) (pow.f64 x 4)))))
(.f64 (.f64 (sqrt.f64 2) (-.f64 (cos.f64 x) (cos.f64 y))) (pow.f64 1 1/3))
(.f64 (.f64 (sqrt.f64 2) (-.f64 (cos.f64 x) (cos.f64 y))) (pow.f64 1 1/3))
(.f64 (.f64 (sqrt.f64 2) (-.f64 (cos.f64 x) (cos.f64 y))) (pow.f64 1 1/3))
(.f64 (.f64 (sqrt.f64 2) (-.f64 (cos.f64 x) (cos.f64 y))) (pow.f64 1 1/3))
(.f64 (.f64 (sqrt.f64 2) (-.f64 (cos.f64 x) (cos.f64 y))) (pow.f64 1 1/3))
(.f64 (.f64 (sqrt.f64 2) (-.f64 (cos.f64 x) (cos.f64 y))) (pow.f64 1 1/3))
(.f64 (.f64 (sqrt.f64 2) (-.f64 (cos.f64 x) (cos.f64 y))) (pow.f64 1 1/3))
(.f64 (.f64 (sqrt.f64 2) (-.f64 (cos.f64 x) (cos.f64 y))) (pow.f64 1 1/3))
(.f64 (.f64 (sqrt.f64 2) (-.f64 (cos.f64 x) 1)) (pow.f64 1 1/3))
(+.f64 (.f64 (.f64 (sqrt.f64 2) (-.f64 (cos.f64 x) 1)) (pow.f64 1 1/3)) (.f64 (+.f64 (.f64 1/3 (.f64 (sqrt.f64 2) (pow.f64 1 1/3))) (.f64 1/6 (*.f64 (sqrt.f64 2) (pow.f64 1 1/3)))) (pow.f64 y 2)))
(+.f64 (.f64 (.f64 (sqrt.f64 2) (-.f64 (cos.f64 x) 1)) (pow.f64 1 1/3)) (+.f64 (.f64 (+.f64 (.f64 1/3 (.f64 (sqrt.f64 2) (pow.f64 1 1/3))) (.f64 1/6 (.f64 (sqrt.f64 2) (pow.f64 1 1/3)))) (pow.f64 y 2)) (.f64 (+.f64 (.f64 1/3 (.f64 (pow.f64 1 1/3) (-.f64 (.f64 -1/24 (sqrt.f64 2)) (.f64 1/12 (/.f64 (sqrt.f64 2) (-.f64 (cos.f64 x) 1)))))) (+.f64 (.f64 1/18 (.f64 (/.f64 (sqrt.f64 2) (-.f64 (cos.f64 x) 1)) (pow.f64 1 1/3))) (.f64 (pow.f64 (.f64 (sqrt.f64 2) (.f64 1 (-.f64 (cos.f64 x) 1))) 1/3) (+.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (.f64 (sqrt.f64 2) (-.f64 (cos.f64 x) 1))) 1/3) (-.f64 (.f64 -1/24 (sqrt.f64 2)) (.f64 1/12 (/.f64 (sqrt.f64 2) (-.f64 (cos.f64 x) 1)))))) (.f64 1/36 (pow.f64 (/.f64 (.f64 (pow.f64 (sqrt.f64 2) 2) 1) (pow.f64 (-.f64 (cos.f64 x) 1) 4)) 1/3)))))) (pow.f64 y 4))))
(+.f64 (.f64 (.f64 (sqrt.f64 2) (-.f64 (cos.f64 x) 1)) (pow.f64 1 1/3)) (+.f64 (.f64 (+.f64 (.f64 1/3 (.f64 (sqrt.f64 2) (pow.f64 1 1/3))) (.f64 1/6 (.f64 (sqrt.f64 2) (pow.f64 1 1/3)))) (pow.f64 y 2)) (+.f64 (.f64 (+.f64 (.f64 1/3 (.f64 (pow.f64 1 1/3) (-.f64 (.f64 -1/24 (sqrt.f64 2)) (.f64 1/12 (/.f64 (sqrt.f64 2) (-.f64 (cos.f64 x) 1)))))) (+.f64 (.f64 1/18 (.f64 (/.f64 (sqrt.f64 2) (-.f64 (cos.f64 x) 1)) (pow.f64 1 1/3))) (.f64 (pow.f64 (.f64 (sqrt.f64 2) (.f64 1 (-.f64 (cos.f64 x) 1))) 1/3) (+.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (.f64 (sqrt.f64 2) (-.f64 (cos.f64 x) 1))) 1/3) (-.f64 (.f64 -1/24 (sqrt.f64 2)) (.f64 1/12 (/.f64 (sqrt.f64 2) (-.f64 (cos.f64 x) 1)))))) (.f64 1/36 (pow.f64 (/.f64 (.f64 (pow.f64 (sqrt.f64 2) 2) 1) (pow.f64 (-.f64 (cos.f64 x) 1) 4)) 1/3)))))) (pow.f64 y 4)) (.f64 (+.f64 (.f64 (pow.f64 (.f64 (sqrt.f64 2) (.f64 1 (-.f64 (cos.f64 x) 1))) 1/3) (+.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (.f64 (sqrt.f64 2) (-.f64 (cos.f64 x) 1))) 1/3) (-.f64 (.f64 1/720 (sqrt.f64 2)) (+.f64 (.f64 1/3 (/.f64 (-.f64 (.f64 -1/24 (sqrt.f64 2)) (.f64 1/12 (/.f64 (sqrt.f64 2) (-.f64 (cos.f64 x) 1)))) (-.f64 (cos.f64 x) 1))) (.f64 1/216 (/.f64 (sqrt.f64 2) (pow.f64 (-.f64 (cos.f64 x) 1) 2))))))) (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (.f64 (sqrt.f64 2) (pow.f64 (-.f64 (cos.f64 x) 1) 4))) 1/3) (-.f64 (.f64 -1/24 (sqrt.f64 2)) (.f64 1/12 (/.f64 (sqrt.f64 2) (-.f64 (cos.f64 x) 1)))))))) (+.f64 (.f64 1/3 (.f64 (pow.f64 1 1/3) (-.f64 (.f64 1/720 (sqrt.f64 2)) (+.f64 (.f64 1/3 (/.f64 (-.f64 (.f64 -1/24 (sqrt.f64 2)) (.f64 1/12 (/.f64 (sqrt.f64 2) (-.f64 (cos.f64 x) 1)))) (-.f64 (cos.f64 x) 1))) (.f64 1/216 (/.f64 (sqrt.f64 2) (pow.f64 (-.f64 (cos.f64 x) 1) 2))))))) (+.f64 (.f64 1/9 (.f64 (pow.f64 1 1/3) (/.f64 (-.f64 (.f64 -1/24 (sqrt.f64 2)) (.f64 1/12 (/.f64 (sqrt.f64 2) (-.f64 (cos.f64 x) 1)))) (-.f64 (cos.f64 x) 1)))) (.f64 1/6 (.f64 (pow.f64 (/.f64 (.f64 (sqrt.f64 2) 1) (pow.f64 (-.f64 (cos.f64 x) 1) 2)) 1/3) (+.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (.f64 (sqrt.f64 2) (-.f64 (cos.f64 x) 1))) 1/3) (-.f64 (.f64 -1/24 (sqrt.f64 2)) (.f64 1/12 (/.f64 (sqrt.f64 2) (-.f64 (cos.f64 x) 1)))))) (.f64 1/36 (pow.f64 (/.f64 (.f64 (pow.f64 (sqrt.f64 2) 2) 1) (pow.f64 (-.f64 (cos.f64 x) 1) 4)) 1/3)))))))) (pow.f64 y 6)))))
(.f64 (.f64 (sqrt.f64 2) (-.f64 (cos.f64 x) (cos.f64 y))) (pow.f64 1 1/3))
(.f64 (.f64 (sqrt.f64 2) (-.f64 (cos.f64 x) (cos.f64 y))) (pow.f64 1 1/3))
(.f64 (.f64 (sqrt.f64 2) (-.f64 (cos.f64 x) (cos.f64 y))) (pow.f64 1 1/3))
(.f64 (.f64 (sqrt.f64 2) (-.f64 (cos.f64 x) (cos.f64 y))) (pow.f64 1 1/3))
(.f64 (.f64 (sqrt.f64 2) (-.f64 (cos.f64 x) (cos.f64 y))) (pow.f64 1 1/3))
(.f64 (.f64 (sqrt.f64 2) (-.f64 (cos.f64 x) (cos.f64 y))) (pow.f64 1 1/3))
(.f64 (.f64 (sqrt.f64 2) (-.f64 (cos.f64 x) (cos.f64 y))) (pow.f64 1 1/3))
(.f64 (.f64 (sqrt.f64 2) (-.f64 (cos.f64 x) (cos.f64 y))) (pow.f64 1 1/3))

Outputs
(.f64 -1/16 (.f64 (sqrt.f64 2) (*.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2))))
(.f64 -1/16 (.f64 (*.f64 (sqrt.f64 2) (-.f64 1 (cos.f64 y))) (pow.f64 (sin.f64 y) 2)))
(.f64 (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2)) (*.f64 -1/16 (sqrt.f64 2)))
(+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2)))) (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (.f64 (+.f64 (*.f64 1/256 (sin.f64 y)) (sin.f64 y)) x))))
(fma.f64 -1/16 (.f64 (.f64 (sqrt.f64 2) (-.f64 1 (cos.f64 y))) (pow.f64 (sin.f64 y) 2)) (.f64 (.f64 (sqrt.f64 2) (-.f64 1 (cos.f64 y))) (.f64 (.f64 257/256 (sin.f64 y)) x)))
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(.f64 (sqrt.f64 2) (+.f64 (+.f64 -1 (cos.f64 x)) (.f64 1/2 (*.f64 y y))))
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(+.f64 (.f64 (sqrt.f64 2) (+.f64 (cos.f64 x) -1)) (fma.f64 (.f64 (sqrt.f64 2) 1/2) (.f64 y y) (.f64 (+.f64 (.f64 1/3 (+.f64 (.f64 (sqrt.f64 2) -1/24) (.f64 -1/12 (/.f64 (sqrt.f64 2) (+.f64 (cos.f64 x) -1))))) (fma.f64 1/18 (/.f64 (sqrt.f64 2) (+.f64 (cos.f64 x) -1)) (.f64 (cbrt.f64 (.f64 (sqrt.f64 2) (+.f64 (cos.f64 x) -1))) (fma.f64 2/3 (.f64 (+.f64 (.f64 (sqrt.f64 2) -1/24) (.f64 -1/12 (/.f64 (sqrt.f64 2) (+.f64 (cos.f64 x) -1)))) (cbrt.f64 (/.f64 1 (.f64 (sqrt.f64 2) (+.f64 (cos.f64 x) -1))))) (.f64 1/36 (cbrt.f64 (/.f64 (pow.f64 (sqrt.f64 2) 2) (pow.f64 (+.f64 (cos.f64 x) -1) 4)))))))) (pow.f64 y 4))))
(fma.f64 (sqrt.f64 2) (+.f64 -1 (cos.f64 x)) (fma.f64 (.f64 y y) (.f64 (sqrt.f64 2) 1/2) (.f64 (fma.f64 1/3 (fma.f64 (sqrt.f64 2) -1/24 (/.f64 (.f64 -1/12 (sqrt.f64 2)) (+.f64 -1 (cos.f64 x)))) (fma.f64 (cbrt.f64 (.f64 (sqrt.f64 2) (+.f64 -1 (cos.f64 x)))) (fma.f64 1/36 (cbrt.f64 (/.f64 2 (pow.f64 (+.f64 -1 (cos.f64 x)) 4))) (.f64 2/3 (.f64 (fma.f64 (sqrt.f64 2) -1/24 (/.f64 (.f64 -1/12 (sqrt.f64 2)) (+.f64 -1 (cos.f64 x)))) (cbrt.f64 (/.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 -1 (cos.f64 x))))))) (/.f64 (*.f64 (sqrt.f64 2) 1/18) (+.f64 -1 (cos.f64 x))))) (pow.f64 y 4))))
(+.f64 (.f64 (sqrt.f64 2) (+.f64 (+.f64 -1 (cos.f64 x)) (.f64 1/2 (.f64 y y)))) (.f64 (fma.f64 1/3 (fma.f64 (sqrt.f64 2) -1/24 (/.f64 (.f64 (sqrt.f64 2) -1/12) (+.f64 -1 (cos.f64 x)))) (fma.f64 (cbrt.f64 (.f64 (sqrt.f64 2) (+.f64 -1 (cos.f64 x)))) (fma.f64 1/36 (cbrt.f64 (/.f64 2 (pow.f64 (+.f64 -1 (cos.f64 x)) 4))) (.f64 2/3 (.f64 (fma.f64 (sqrt.f64 2) -1/24 (/.f64 (*.f64 (sqrt.f64 2) -1/12) (+.f64 -1 (cos.f64 x)))) (cbrt.f64 (/.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 -1 (cos.f64 x))))))) (/.f64 1/18 (/.f64 (+.f64 -1 (cos.f64 x)) (sqrt.f64 2))))) (pow.f64 y 4)))
(+.f64 (.f64 (.f64 (sqrt.f64 2) (-.f64 (cos.f64 x) 1)) (pow.f64 1 1/3)) (+.f64 (.f64 (+.f64 (.f64 1/3 (.f64 (sqrt.f64 2) (pow.f64 1 1/3))) (.f64 1/6 (.f64 (sqrt.f64 2) (pow.f64 1 1/3)))) (pow.f64 y 2)) (+.f64 (.f64 (+.f64 (.f64 1/3 (.f64 (pow.f64 1 1/3) (-.f64 (.f64 -1/24 (sqrt.f64 2)) (.f64 1/12 (/.f64 (sqrt.f64 2) (-.f64 (cos.f64 x) 1)))))) (+.f64 (.f64 1/18 (.f64 (/.f64 (sqrt.f64 2) (-.f64 (cos.f64 x) 1)) (pow.f64 1 1/3))) (.f64 (pow.f64 (.f64 (sqrt.f64 2) (.f64 1 (-.f64 (cos.f64 x) 1))) 1/3) (+.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (.f64 (sqrt.f64 2) (-.f64 (cos.f64 x) 1))) 1/3) (-.f64 (.f64 -1/24 (sqrt.f64 2)) (.f64 1/12 (/.f64 (sqrt.f64 2) (-.f64 (cos.f64 x) 1)))))) (.f64 1/36 (pow.f64 (/.f64 (.f64 (pow.f64 (sqrt.f64 2) 2) 1) (pow.f64 (-.f64 (cos.f64 x) 1) 4)) 1/3)))))) (pow.f64 y 4)) (.f64 (+.f64 (.f64 (pow.f64 (.f64 (sqrt.f64 2) (.f64 1 (-.f64 (cos.f64 x) 1))) 1/3) (+.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (.f64 (sqrt.f64 2) (-.f64 (cos.f64 x) 1))) 1/3) (-.f64 (.f64 1/720 (sqrt.f64 2)) (+.f64 (.f64 1/3 (/.f64 (-.f64 (.f64 -1/24 (sqrt.f64 2)) (.f64 1/12 (/.f64 (sqrt.f64 2) (-.f64 (cos.f64 x) 1)))) (-.f64 (cos.f64 x) 1))) (.f64 1/216 (/.f64 (sqrt.f64 2) (pow.f64 (-.f64 (cos.f64 x) 1) 2))))))) (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (.f64 (sqrt.f64 2) (pow.f64 (-.f64 (cos.f64 x) 1) 4))) 1/3) (-.f64 (.f64 -1/24 (sqrt.f64 2)) (.f64 1/12 (/.f64 (sqrt.f64 2) (-.f64 (cos.f64 x) 1)))))))) (+.f64 (.f64 1/3 (.f64 (pow.f64 1 1/3) (-.f64 (.f64 1/720 (sqrt.f64 2)) (+.f64 (.f64 1/3 (/.f64 (-.f64 (.f64 -1/24 (sqrt.f64 2)) (.f64 1/12 (/.f64 (sqrt.f64 2) (-.f64 (cos.f64 x) 1)))) (-.f64 (cos.f64 x) 1))) (.f64 1/216 (/.f64 (sqrt.f64 2) (pow.f64 (-.f64 (cos.f64 x) 1) 2))))))) (+.f64 (.f64 1/9 (.f64 (pow.f64 1 1/3) (/.f64 (-.f64 (.f64 -1/24 (sqrt.f64 2)) (.f64 1/12 (/.f64 (sqrt.f64 2) (-.f64 (cos.f64 x) 1)))) (-.f64 (cos.f64 x) 1)))) (.f64 1/6 (.f64 (pow.f64 (/.f64 (.f64 (sqrt.f64 2) 1) (pow.f64 (-.f64 (cos.f64 x) 1) 2)) 1/3) (+.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (.f64 (sqrt.f64 2) (-.f64 (cos.f64 x) 1))) 1/3) (-.f64 (.f64 -1/24 (sqrt.f64 2)) (.f64 1/12 (/.f64 (sqrt.f64 2) (-.f64 (cos.f64 x) 1)))))) (.f64 1/36 (pow.f64 (/.f64 (.f64 (pow.f64 (sqrt.f64 2) 2) 1) (pow.f64 (-.f64 (cos.f64 x) 1) 4)) 1/3)))))))) (pow.f64 y 6)))))
(+.f64 (.f64 (sqrt.f64 2) (+.f64 (cos.f64 x) -1)) (fma.f64 (.f64 (sqrt.f64 2) 1/2) (.f64 y y) (fma.f64 (+.f64 (.f64 1/3 (+.f64 (.f64 (sqrt.f64 2) -1/24) (.f64 -1/12 (/.f64 (sqrt.f64 2) (+.f64 (cos.f64 x) -1))))) (fma.f64 1/18 (/.f64 (sqrt.f64 2) (+.f64 (cos.f64 x) -1)) (.f64 (cbrt.f64 (.f64 (sqrt.f64 2) (+.f64 (cos.f64 x) -1))) (fma.f64 2/3 (.f64 (+.f64 (.f64 (sqrt.f64 2) -1/24) (.f64 -1/12 (/.f64 (sqrt.f64 2) (+.f64 (cos.f64 x) -1)))) (cbrt.f64 (/.f64 1 (.f64 (sqrt.f64 2) (+.f64 (cos.f64 x) -1))))) (.f64 1/36 (cbrt.f64 (/.f64 (pow.f64 (sqrt.f64 2) 2) (pow.f64 (+.f64 (cos.f64 x) -1) 4)))))))) (pow.f64 y 4) (.f64 (fma.f64 (cbrt.f64 (.f64 (sqrt.f64 2) (+.f64 (cos.f64 x) -1))) (fma.f64 2/3 (.f64 (cbrt.f64 (/.f64 1 (.f64 (sqrt.f64 2) (+.f64 (cos.f64 x) -1)))) (-.f64 (.f64 (sqrt.f64 2) 1/720) (fma.f64 1/3 (/.f64 (+.f64 (.f64 (sqrt.f64 2) -1/24) (.f64 -1/12 (/.f64 (sqrt.f64 2) (+.f64 (cos.f64 x) -1)))) (+.f64 (cos.f64 x) -1)) (.f64 1/216 (/.f64 (sqrt.f64 2) (pow.f64 (+.f64 (cos.f64 x) -1) 2)))))) (.f64 1/9 (.f64 (+.f64 (.f64 (sqrt.f64 2) -1/24) (.f64 -1/12 (/.f64 (sqrt.f64 2) (+.f64 (cos.f64 x) -1)))) (cbrt.f64 (/.f64 1 (.f64 (sqrt.f64 2) (pow.f64 (+.f64 (cos.f64 x) -1) 4))))))) (+.f64 (.f64 1/3 (-.f64 (.f64 (sqrt.f64 2) 1/720) (fma.f64 1/3 (/.f64 (+.f64 (.f64 (sqrt.f64 2) -1/24) (.f64 -1/12 (/.f64 (sqrt.f64 2) (+.f64 (cos.f64 x) -1)))) (+.f64 (cos.f64 x) -1)) (.f64 1/216 (/.f64 (sqrt.f64 2) (pow.f64 (+.f64 (cos.f64 x) -1) 2)))))) (+.f64 (.f64 1/9 (/.f64 (+.f64 (.f64 (sqrt.f64 2) -1/24) (.f64 -1/12 (/.f64 (sqrt.f64 2) (+.f64 (cos.f64 x) -1)))) (+.f64 (cos.f64 x) -1))) (.f64 1/6 (.f64 (fma.f64 2/3 (.f64 (+.f64 (.f64 (sqrt.f64 2) -1/24) (.f64 -1/12 (/.f64 (sqrt.f64 2) (+.f64 (cos.f64 x) -1)))) (cbrt.f64 (/.f64 1 (.f64 (sqrt.f64 2) (+.f64 (cos.f64 x) -1))))) (*.f64 1/36 (cbrt.f64 (/.f64 (pow.f64 (sqrt.f64 2) 2) (pow.f64 (+.f64 (cos.f64 x) -1) 4))))) (cbrt.f64 (/.f64 (sqrt.f64 2) (pow.f64 (+.f64 (cos.f64 x) -1) 2)))))))) (pow.f64 y 6)))))
(fma.f64 (sqrt.f64 2) (+.f64 -1 (cos.f64 x)) (fma.f64 (.f64 y y) (.f64 (sqrt.f64 2) 1/2) (fma.f64 (fma.f64 1/3 (fma.f64 (sqrt.f64 2) -1/24 (/.f64 (.f64 -1/12 (sqrt.f64 2)) (+.f64 -1 (cos.f64 x)))) (fma.f64 (cbrt.f64 (.f64 (sqrt.f64 2) (+.f64 -1 (cos.f64 x)))) (fma.f64 1/36 (cbrt.f64 (/.f64 2 (pow.f64 (+.f64 -1 (cos.f64 x)) 4))) (.f64 2/3 (.f64 (fma.f64 (sqrt.f64 2) -1/24 (/.f64 (.f64 -1/12 (sqrt.f64 2)) (+.f64 -1 (cos.f64 x)))) (cbrt.f64 (/.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 -1 (cos.f64 x))))))) (/.f64 (.f64 (sqrt.f64 2) 1/18) (+.f64 -1 (cos.f64 x))))) (pow.f64 y 4) (.f64 (fma.f64 (cbrt.f64 (.f64 (sqrt.f64 2) (+.f64 -1 (cos.f64 x)))) (fma.f64 2/3 (.f64 (cbrt.f64 (/.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 -1 (cos.f64 x)))) (-.f64 (.f64 (sqrt.f64 2) 1/720) (fma.f64 1/3 (/.f64 (fma.f64 (sqrt.f64 2) -1/24 (/.f64 (.f64 -1/12 (sqrt.f64 2)) (+.f64 -1 (cos.f64 x)))) (+.f64 -1 (cos.f64 x))) (/.f64 (.f64 (sqrt.f64 2) 1/216) (pow.f64 (+.f64 -1 (cos.f64 x)) 2))))) (.f64 (cbrt.f64 (/.f64 (/.f64 1 (sqrt.f64 2)) (pow.f64 (+.f64 -1 (cos.f64 x)) 4))) (.f64 (fma.f64 (sqrt.f64 2) -1/24 (/.f64 (.f64 -1/12 (sqrt.f64 2)) (+.f64 -1 (cos.f64 x)))) 1/9))) (fma.f64 1/3 (-.f64 (.f64 (sqrt.f64 2) 1/720) (fma.f64 1/3 (/.f64 (fma.f64 (sqrt.f64 2) -1/24 (/.f64 (.f64 -1/12 (sqrt.f64 2)) (+.f64 -1 (cos.f64 x)))) (+.f64 -1 (cos.f64 x))) (/.f64 (.f64 (sqrt.f64 2) 1/216) (pow.f64 (+.f64 -1 (cos.f64 x)) 2)))) (fma.f64 (.f64 1/6 (cbrt.f64 (/.f64 (sqrt.f64 2) (pow.f64 (+.f64 -1 (cos.f64 x)) 2)))) (fma.f64 1/36 (cbrt.f64 (/.f64 2 (pow.f64 (+.f64 -1 (cos.f64 x)) 4))) (.f64 2/3 (.f64 (fma.f64 (sqrt.f64 2) -1/24 (/.f64 (.f64 -1/12 (sqrt.f64 2)) (+.f64 -1 (cos.f64 x)))) (cbrt.f64 (/.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 -1 (cos.f64 x))))))) (.f64 (/.f64 (fma.f64 (sqrt.f64 2) -1/24 (/.f64 (.f64 -1/12 (sqrt.f64 2)) (+.f64 -1 (cos.f64 x)))) (+.f64 -1 (cos.f64 x))) 1/9)))) (pow.f64 y 6)))))
(+.f64 (.f64 (sqrt.f64 2) (+.f64 (+.f64 -1 (cos.f64 x)) (.f64 1/2 (.f64 y y)))) (fma.f64 (fma.f64 1/3 (fma.f64 (sqrt.f64 2) -1/24 (/.f64 (.f64 (sqrt.f64 2) -1/12) (+.f64 -1 (cos.f64 x)))) (fma.f64 (cbrt.f64 (.f64 (sqrt.f64 2) (+.f64 -1 (cos.f64 x)))) (fma.f64 1/36 (cbrt.f64 (/.f64 2 (pow.f64 (+.f64 -1 (cos.f64 x)) 4))) (.f64 2/3 (.f64 (fma.f64 (sqrt.f64 2) -1/24 (/.f64 (.f64 (sqrt.f64 2) -1/12) (+.f64 -1 (cos.f64 x)))) (cbrt.f64 (/.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 -1 (cos.f64 x))))))) (/.f64 1/18 (/.f64 (+.f64 -1 (cos.f64 x)) (sqrt.f64 2))))) (pow.f64 y 4) (.f64 (fma.f64 (cbrt.f64 (.f64 (sqrt.f64 2) (+.f64 -1 (cos.f64 x)))) (fma.f64 2/3 (.f64 (cbrt.f64 (/.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 -1 (cos.f64 x)))) (+.f64 (fma.f64 (sqrt.f64 2) 1/720 (.f64 -1/3 (.f64 (/.f64 (sqrt.f64 2) (+.f64 -1 (cos.f64 x))) (-.f64 -1/24 (/.f64 1/12 (+.f64 -1 (cos.f64 x))))))) (.f64 -1/216 (/.f64 (sqrt.f64 2) (pow.f64 (+.f64 -1 (cos.f64 x)) 2))))) (.f64 (cbrt.f64 (/.f64 (/.f64 1 (sqrt.f64 2)) (pow.f64 (+.f64 -1 (cos.f64 x)) 4))) (.f64 (fma.f64 (sqrt.f64 2) -1/24 (/.f64 (.f64 (sqrt.f64 2) -1/12) (+.f64 -1 (cos.f64 x)))) 1/9))) (fma.f64 1/3 (+.f64 (fma.f64 (sqrt.f64 2) 1/720 (.f64 -1/3 (.f64 (/.f64 (sqrt.f64 2) (+.f64 -1 (cos.f64 x))) (-.f64 -1/24 (/.f64 1/12 (+.f64 -1 (cos.f64 x))))))) (.f64 -1/216 (/.f64 (sqrt.f64 2) (pow.f64 (+.f64 -1 (cos.f64 x)) 2)))) (fma.f64 (.f64 1/6 (cbrt.f64 (/.f64 (sqrt.f64 2) (pow.f64 (+.f64 -1 (cos.f64 x)) 2)))) (fma.f64 1/36 (cbrt.f64 (/.f64 2 (pow.f64 (+.f64 -1 (cos.f64 x)) 4))) (.f64 2/3 (.f64 (fma.f64 (sqrt.f64 2) -1/24 (/.f64 (.f64 (sqrt.f64 2) -1/12) (+.f64 -1 (cos.f64 x)))) (cbrt.f64 (/.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 -1 (cos.f64 x))))))) (.f64 (.f64 (/.f64 (sqrt.f64 2) (+.f64 -1 (cos.f64 x))) (-.f64 -1/24 (/.f64 1/12 (+.f64 -1 (cos.f64 x))))) 1/9)))) (pow.f64 y 6))))
(.f64 (.f64 (sqrt.f64 2) (-.f64 (cos.f64 x) (cos.f64 y))) (pow.f64 1 1/3))
(.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) 1))
(*.f64 (sqrt.f64 2) (-.f64 (cos.f64 x) (cos.f64 y)))
(.f64 (.f64 (sqrt.f64 2) (-.f64 (cos.f64 x) (cos.f64 y))) (pow.f64 1 1/3))
(.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) 1))
(*.f64 (sqrt.f64 2) (-.f64 (cos.f64 x) (cos.f64 y)))
(.f64 (.f64 (sqrt.f64 2) (-.f64 (cos.f64 x) (cos.f64 y))) (pow.f64 1 1/3))
(.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) 1))
(*.f64 (sqrt.f64 2) (-.f64 (cos.f64 x) (cos.f64 y)))
(.f64 (.f64 (sqrt.f64 2) (-.f64 (cos.f64 x) (cos.f64 y))) (pow.f64 1 1/3))
(.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) 1))
(*.f64 (sqrt.f64 2) (-.f64 (cos.f64 x) (cos.f64 y)))
(.f64 (.f64 (sqrt.f64 2) (-.f64 (cos.f64 x) (cos.f64 y))) (pow.f64 1 1/3))
(.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) 1))
(*.f64 (sqrt.f64 2) (-.f64 (cos.f64 x) (cos.f64 y)))
(.f64 (.f64 (sqrt.f64 2) (-.f64 (cos.f64 x) (cos.f64 y))) (pow.f64 1 1/3))
(.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) 1))
(*.f64 (sqrt.f64 2) (-.f64 (cos.f64 x) (cos.f64 y)))
(.f64 (.f64 (sqrt.f64 2) (-.f64 (cos.f64 x) (cos.f64 y))) (pow.f64 1 1/3))
(.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) 1))
(*.f64 (sqrt.f64 2) (-.f64 (cos.f64 x) (cos.f64 y)))
(.f64 (.f64 (sqrt.f64 2) (-.f64 (cos.f64 x) (cos.f64 y))) (pow.f64 1 1/3))
(.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) 1))
(*.f64 (sqrt.f64 2) (-.f64 (cos.f64 x) (cos.f64 y)))

eval3.0s (8.1%)

Compiler: Compiled 61584 to 43854 computations (28.8% saved)

prune608.0ms (1.6%)

Pruning

75 alts after pruning (71 fresh and 4 done)

	Pruned	Kept	Total
New	1068	14	1082
Fresh	4	57	61
Picked	0	1	1
Done	3	3	6
Total	1075	75	1150

Error

0.0b

Counts

1150 → 75

Alt Table

Click to see full alt table

Status	Error	Program
	0.4b	(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (/.f64 4 (+.f64 3 (sqrt.f64 5))) 2) (cos.f64 y)))))
	12.1b	(/.f64 (+.f64 (.f64 (sqrt.f64 2) (.f64 (.f64 (.f64 (sin.f64 (.f64 (-.f64 x y) 1/2)) (sin.f64 (.f64 (+.f64 x y) 1/2))) -2) (.f64 (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x)) (+.f64 (.f64 -1/16 (sin.f64 x)) (sin.f64 y))))) 2) (+.f64 3 (+.f64 (.f64 (cos.f64 y) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5)))) (.f64 3/2 (*.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))))))
	28.0b	(+.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (.f64 (+.f64 (.f64 1/256 (sin.f64 y)) (sin.f64 y)) x))) (+.f64 (.f64 3/2 (-.f64 (sqrt.f64 5) 1)) (+.f64 3 (.f64 (cos.f64 y) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5))))))) (+.f64 (.f64 -1/16 (/.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2))) (+.f64 (.f64 3/2 (-.f64 (sqrt.f64 5) 1)) (+.f64 3 (.f64 (cos.f64 y) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5)))))))) (.f64 2 (/.f64 1 (+.f64 (expm1.f64 (log1p.f64 (fma.f64 3/2 (sqrt.f64 5) -3/2))) (+.f64 3 (.f64 (cos.f64 y) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5))))))))))
	26.5b	(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (pow.f64 (.f64 (+.f64 (sqrt.f64 45/4) -3/2) (cos.f64 x)) 1)) (*.f64 3/2 (sqrt.f64 5))))
✓	24.9b	(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) 1))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
	24.9b	(/.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)))))
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	24.9b	(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) 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)))))
	1.4b	(pow.f64 (cbrt.f64 (/.f64 (fma.f64 (sqrt.f64 2) (.f64 (fma.f64 -1/16 (sin.f64 x) (sin.f64 y)) (.f64 (fma.f64 (sin.f64 y) -1/16 (sin.f64 x)) (-.f64 (cos.f64 x) (cos.f64 y)))) 2) (fma.f64 (cos.f64 x) (*.f64 (+.f64 (sqrt.f64 5) -1) 3/2) (fma.f64 (cos.f64 y) (-.f64 9/2 (sqrt.f64 45/4)) 3)))) 3)
	26.5b	(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 (cos.f64 x) -1)) 3))))) (-.f64 (+.f64 15/2 (.f64 3/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))) (.f64 3/2 (sqrt.f64 5))))
	0.4b	(/.f64 (fma.f64 (sqrt.f64 2) (.f64 (+.f64 (sin.f64 y) (.f64 -1/16 (sin.f64 x))) (.f64 (+.f64 (sin.f64 x) (.f64 -1/16 (sin.f64 y))) (-.f64 (cos.f64 x) (cos.f64 y)))) 2) (fma.f64 (cos.f64 x) (/.f64 (+.f64 (sqrt.f64 5) -1) 2/3) (fma.f64 (cos.f64 y) (+.f64 9/2 (neg.f64 (sqrt.f64 45/4))) 3)))
	31.5b	(/.f64 (+.f64 (.f64 -1/16 (.f64 (-.f64 1 (cos.f64 y)) (.f64 (sqrt.f64 2) (pow.f64 (sin.f64 y) 2)))) 2) (+.f64 3 (+.f64 (.f64 (cos.f64 y) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5)))) (.f64 (+.f64 (sqrt.f64 5) -1) (+.f64 3/2 (.f64 -3/4 (.f64 x x)))))))
	0.4b	(log1p.f64 (expm1.f64 (/.f64 (fma.f64 (sqrt.f64 2) (.f64 (fma.f64 -1/16 (sin.f64 x) (sin.f64 y)) (.f64 (fma.f64 (sin.f64 y) -1/16 (sin.f64 x)) (-.f64 (cos.f64 x) (cos.f64 y)))) 2) (fma.f64 (cos.f64 x) (*.f64 (+.f64 (sqrt.f64 5) -1) 3/2) (fma.f64 (cos.f64 y) (-.f64 9/2 (sqrt.f64 45/4)) 3)))))
	0.4b	(/.f64 (+.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x)) (+.f64 (.f64 -1/16 (sin.f64 x)) (sin.f64 y))))) 2) (+.f64 3 (+.f64 (.f64 (cos.f64 y) (/.f64 9 (+.f64 9/2 (sqrt.f64 45/4)))) (.f64 3/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))))))
	29.2b	(+.f64 (.f64 2 (/.f64 1 (-.f64 (+.f64 15/2 (.f64 3/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))) (.f64 3/2 (sqrt.f64 5))))) (+.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 y (.f64 (-.f64 (cos.f64 x) 1) (+.f64 (.f64 1/256 (sin.f64 x)) (sin.f64 x))))) (-.f64 (+.f64 15/2 (.f64 3/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))) (.f64 3/2 (sqrt.f64 5)))) (.f64 -1/16 (/.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))) (-.f64 (+.f64 15/2 (.f64 3/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))) (*.f64 3/2 (sqrt.f64 5)))))))
	26.5b	(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (.f64 3/2 (+.f64 (.f64 (sqrt.f64 5) (cos.f64 x)) (.f64 -1 (cos.f64 x))))) (*.f64 3/2 (sqrt.f64 5))))
	0.4b	(expm1.f64 (log1p.f64 (/.f64 (fma.f64 (sqrt.f64 2) (.f64 (fma.f64 -1/16 (sin.f64 x) (sin.f64 y)) (.f64 (fma.f64 (sin.f64 y) -1/16 (sin.f64 x)) (-.f64 (cos.f64 x) (cos.f64 y)))) 2) (fma.f64 (cos.f64 x) (*.f64 (+.f64 (sqrt.f64 5) -1) 3/2) (fma.f64 (cos.f64 y) (-.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 (log.f64 (exp.f64 (-.f64 3 (sqrt.f64 5)))) 2) (cos.f64 y)))))
	31.3b	(/.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 (cos.f64 y) (+.f64 9/2 (neg.f64 (sqrt.f64 45/4)))) (.f64 (+.f64 (sqrt.f64 5) -1) (+.f64 3/2 (.f64 -3/4 (*.f64 x x)))))))
	45.2b	(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (.f64 -1/2 (.f64 x x)))))) (-.f64 (+.f64 15/2 (.f64 3/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))) (.f64 3/2 (sqrt.f64 5))))
	24.9b	(/.f64 (+.f64 2 (.f64 (+.f64 1/16 (.f64 (cos.f64 x) -1/16)) (.f64 (sqrt.f64 2) (pow.f64 (sin.f64 x) 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)))))
	25.4b	(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2))))) (+.f64 (.f64 3/2 (-.f64 (sqrt.f64 5) 1)) (+.f64 3 (.f64 (cos.f64 y) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5)))))))
	31.3b	(/.f64 (+.f64 (.f64 (.f64 (sqrt.f64 2) (-.f64 1 (cos.f64 y))) (+.f64 (.f64 -1/16 (pow.f64 (sin.f64 y) 2)) (.f64 (sin.f64 y) (.f64 x 257/256)))) 2) (+.f64 3 (+.f64 (.f64 (cos.f64 y) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5)))) (.f64 (+.f64 (sqrt.f64 5) -1) (+.f64 3/2 (.f64 -3/4 (.f64 x x)))))))
	24.9b	(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) 1))) (.f64 3 (+.f64 (+.f64 1 (log.f64 (+.f64 1 (expm1.f64 (.f64 (.f64 (+.f64 (sqrt.f64 5) -1) (cos.f64 x)) 1/2))))) (*.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
	32.8b	(/.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)))))
	23.4b	(/.f64 (+.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (.f64 (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x)) (+.f64 (.f64 -1/16 (sin.f64 x)) (sin.f64 y))))) 2) (+.f64 3 (+.f64 (.f64 (cos.f64 y) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5)))) (.f64 3/2 (*.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))))))
	24.9b	(/.f64 (+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1)))) 2) (+.f64 3 (+.f64 (.f64 (cos.f64 y) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5)))) (.f64 3/2 (*.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))))))
	25.2b	(/.f64 (+.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x)) (+.f64 (.f64 -1/16 (sin.f64 x)) (sin.f64 y))))) 2) (+.f64 3 (+.f64 (.f64 (cos.f64 y) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5)))) (.f64 3/2 (-.f64 (sqrt.f64 5) 1)))))
	30.9b	(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 -1/16 (sin.f64 y)) 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)))))
▶	23.4b	(/.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 1 (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
	0.6b	(cbrt.f64 (/.f64 (pow.f64 (fma.f64 (sqrt.f64 2) (.f64 (fma.f64 -1/16 (sin.f64 x) (sin.f64 y)) (.f64 (fma.f64 (sin.f64 y) -1/16 (sin.f64 x)) (-.f64 (cos.f64 x) (cos.f64 y)))) 2) 3) (pow.f64 (fma.f64 (cos.f64 x) (*.f64 (+.f64 (sqrt.f64 5) -1) 3/2) (fma.f64 (cos.f64 y) (-.f64 9/2 (sqrt.f64 45/4)) 3)) 3)))
	0.4b	(/.f64 (fma.f64 (sqrt.f64 2) (.f64 (+.f64 (sin.f64 y) (.f64 -1/16 (sin.f64 x))) (.f64 (+.f64 (sin.f64 x) (.f64 -1/16 (sin.f64 y))) (-.f64 (cos.f64 x) (cos.f64 y)))) 2) (fma.f64 (cos.f64 x) (pow.f64 (cbrt.f64 (*.f64 (+.f64 (sqrt.f64 5) -1) 3/2)) 3) (fma.f64 (cos.f64 y) (-.f64 9/2 (/.f64 (sqrt.f64 5) 2/3)) 3)))
	43.7b	(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (exp.f64 (.f64 (.f64 2 (log.f64 (cbrt.f64 (sin.f64 x)))) 3)) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (.f64 3/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))) (.f64 3/2 (sqrt.f64 5))))

Compiler

Compiled 7296 to 5882 computations (19.4% saved)

localize121.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.6b	(+.f64 (cos.f64 x) (cos.f64 y))
	0.7b	(.f64 3/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))
✓	1.0b	(+.f64 9/2 (neg.f64 (sqrt.f64 45/4)))
	2.7b	(-.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 y) 2))

Compiler

Compiled 332 to 199 computations (40.1% saved)

series0.0ms (0%)

Counts: 1 → 0

rewrite33.0ms (0.1%)

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	1721	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 expm1.f64 (log1p.f64 (-.f64 9/2 (sqrt.f64 45/4))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 9/2 (sqrt.f64 45/4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 9/2 (sqrt.f64 45/4))))))))

simplify8.0ms (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

localize31.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (.f64 x x) (-.f64 (cos.f64 x) 1))))) 6)
✓	0.1b	(.f64 (.f64 x x) (-.f64 (cos.f64 x) 1))
✓	0.1b	(.f64 (sqrt.f64 2) (.f64 (*.f64 x x) (-.f64 (cos.f64 x) 1)))
	2.0b	(-.f64 (cos.f64 x) 1)

Compiler

Compiled 82 to 51 computations (37.8% saved)

series7.0ms (0%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (.f64 x x) (-.f64 (cos.f64 x) 1))))) 6)
1.0ms	x	@	inf	(.f64 (sqrt.f64 2) (.f64 (*.f64 x x) (-.f64 (cos.f64 x) 1)))
1.0ms	x	@	-inf	(.f64 (sqrt.f64 2) (.f64 (*.f64 x x) (-.f64 (cos.f64 x) 1)))
1.0ms	x	@	0	(.f64 (sqrt.f64 2) (.f64 (*.f64 x x) (-.f64 (cos.f64 x) 1)))
1.0ms	x	@	inf	(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (.f64 x x) (-.f64 (cos.f64 x) 1))))) 6)

rewrite78.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

729×	`log-prod_binary64`
287×	`prod-diff_binary64`
270×	`pow1/3_binary64`
268×	`expm1-udef_binary64`
268×	`log1p-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	55
1	330	53
2	4136	53

Stop Event

1×	node limit

Counts

3 → 83

Calls

Call 1

Inputs
(.f64 (sqrt.f64 2) (.f64 (*.f64 x x) (-.f64 (cos.f64 x) 1)))
(.f64 (.f64 x x) (-.f64 (cos.f64 x) 1))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (.f64 x x) (-.f64 (cos.f64 x) 1))))) 6)

Outputs

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

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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (fma.f64 (*.f64 x (*.f64 x (+.f64 (cos.f64 x) -1))) (*.f64 (sqrt.f64 2) -1/16) 2) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 (*.f64 x (*.f64 x (+.f64 (cos.f64 x) -1))) (*.f64 (sqrt.f64 2) -1/16) 2)) 1/6)) (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 (*.f64 x (*.f64 x (+.f64 (cos.f64 x) -1))) (*.f64 (sqrt.f64 2) -1/16) 2)) 1/6)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 (*.f64 x (*.f64 x (+.f64 (cos.f64 x) -1))) (*.f64 (sqrt.f64 2) -1/16) 2)) 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 (*.f64 x (*.f64 x (+.f64 (cos.f64 x) -1))) (*.f64 (sqrt.f64 2) -1/16) 2)) 1/6))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 (*.f64 x (*.f64 x (+.f64 (cos.f64 x) -1))) (*.f64 (sqrt.f64 2) -1/16) 2)) 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x (+.f64 (cos.f64 x) -1))) (*.f64 (sqrt.f64 2) -1/16) 2) 1/6))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (fma.f64 (*.f64 x (*.f64 x (+.f64 (cos.f64 x) -1))) (*.f64 (sqrt.f64 2) -1/16) 2) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (*.f64 x (*.f64 x (+.f64 (cos.f64 x) -1))) (*.f64 (sqrt.f64 2) -1/16) 2) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x (+.f64 (cos.f64 x) -1))) (*.f64 (sqrt.f64 2) -1/16) 2) 1/6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x (+.f64 (cos.f64 x) -1))) (*.f64 (sqrt.f64 2) -1/16) 2) 1/6)) (pow.f64 (cbrt.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x (+.f64 (cos.f64 x) -1))) (*.f64 (sqrt.f64 2) -1/16) 2) 1/6)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x (+.f64 (cos.f64 x) -1))) (*.f64 (sqrt.f64 2) -1/16) 2) 1/6)) 2) (cbrt.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x (+.f64 (cos.f64 x) -1))) (*.f64 (sqrt.f64 2) -1/16) 2) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (*.f64 x (*.f64 x (+.f64 (cos.f64 x) -1))) (*.f64 (sqrt.f64 2) -1/16) 2)) 2) (*.f64 (cbrt.f64 (fma.f64 (*.f64 x (*.f64 x (+.f64 (cos.f64 x) -1))) (*.f64 (sqrt.f64 2) -1/16) 2)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x (+.f64 (cos.f64 x) -1))) (*.f64 (sqrt.f64 2) -1/16) 2) 1/6)) (sqrt.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x (+.f64 (cos.f64 x) -1))) (*.f64 (sqrt.f64 2) -1/16) 2) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (*.f64 x (*.f64 x (+.f64 (cos.f64 x) -1))) (*.f64 (sqrt.f64 2) -1/16) 2)) (*.f64 (sqrt.f64 (fma.f64 (*.f64 x (*.f64 x (+.f64 (cos.f64 x) -1))) (*.f64 (sqrt.f64 2) -1/16) 2)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x (+.f64 (cos.f64 x) -1))) (*.f64 (sqrt.f64 2) -1/16) 2)) -1/6)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/6 (fma.f64 (*.f64 x (*.f64 x (+.f64 (cos.f64 x) -1))) (*.f64 (sqrt.f64 2) -1/16) 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x (+.f64 (cos.f64 x) -1))) (*.f64 (sqrt.f64 2) -1/16) 2) 1/6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x (+.f64 (cos.f64 x) -1))) (*.f64 (sqrt.f64 2) -1/16) 2) 1/6) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x (+.f64 (cos.f64 x) -1))) (*.f64 (sqrt.f64 2) -1/16) 2) 1/6)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x (+.f64 (cos.f64 x) -1))) (*.f64 (sqrt.f64 2) -1/16) 2) 1/6)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 6 (fma.f64 (*.f64 x (*.f64 x (+.f64 (cos.f64 x) -1))) (*.f64 (sqrt.f64 2) -1/16) 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 6 (fma.f64 (*.f64 x (*.f64 x (+.f64 (cos.f64 x) -1))) (*.f64 (sqrt.f64 2) -1/16) 2)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x (+.f64 (cos.f64 x) -1))) (*.f64 (sqrt.f64 2) -1/16) 2) -6))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (fma.f64 (*.f64 x (*.f64 x (+.f64 (cos.f64 x) -1))) (*.f64 (sqrt.f64 2) -1/16) 2) 2) 1/36))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (fma.f64 (*.f64 x (*.f64 x (+.f64 (cos.f64 x) -1))) (*.f64 (sqrt.f64 2) -1/16) 2)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x (+.f64 (cos.f64 x) -1))) (*.f64 (sqrt.f64 2) -1/16) 2) 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x (+.f64 (cos.f64 x) -1))) (*.f64 (sqrt.f64 2) -1/16) 2) 1/6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x (+.f64 (cos.f64 x) -1))) (*.f64 (sqrt.f64 2) -1/16) 2) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x (+.f64 (cos.f64 x) -1))) (*.f64 (sqrt.f64 2) -1/16) 2) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x (+.f64 (cos.f64 x) -1))) (*.f64 (sqrt.f64 2) -1/16) 2) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x (+.f64 (cos.f64 x) -1))) (*.f64 (sqrt.f64 2) -1/16) 2) 1/6)) 1))))))

simplify98.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

535×	`distribute-rgt-in_binary64`
490×	`distribute-lft-in_binary64`
479×	`*-commutative_binary64`
402×	`fma-neg_binary64`
369×	`unsub-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	62	678
1	166	664
2	437	644
3	1533	629
4	2536	629
5	3904	629
6	5028	629
7	7740	629

Stop Event

1×	node limit

Counts

119 → 112

Calls

Call 1

Inputs
(.f64 -1/2 (.f64 (sqrt.f64 2) (pow.f64 x 4)))
(+.f64 (.f64 1/24 (.f64 (sqrt.f64 2) (pow.f64 x 6))) (.f64 -1/2 (.f64 (sqrt.f64 2) (pow.f64 x 4))))
(+.f64 (.f64 1/24 (.f64 (sqrt.f64 2) (pow.f64 x 6))) (+.f64 (.f64 -1/2 (.f64 (sqrt.f64 2) (pow.f64 x 4))) (.f64 -1/720 (.f64 (sqrt.f64 2) (pow.f64 x 8)))))
(+.f64 (.f64 1/24 (.f64 (sqrt.f64 2) (pow.f64 x 6))) (+.f64 (.f64 -1/2 (.f64 (sqrt.f64 2) (pow.f64 x 4))) (+.f64 (.f64 -1/720 (.f64 (sqrt.f64 2) (pow.f64 x 8))) (.f64 1/40320 (.f64 (sqrt.f64 2) (pow.f64 x 10))))))
(.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2)))
(.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2)))
(.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2)))
(.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2)))
(.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2)))
(.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2)))
(.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2)))
(.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2)))
(*.f64 -1/2 (pow.f64 x 4))
(+.f64 (.f64 -1/2 (pow.f64 x 4)) (.f64 1/24 (pow.f64 x 6)))
(+.f64 (.f64 -1/2 (pow.f64 x 4)) (+.f64 (.f64 1/24 (pow.f64 x 6)) (*.f64 -1/720 (pow.f64 x 8))))
(+.f64 (.f64 -1/2 (pow.f64 x 4)) (+.f64 (.f64 1/24 (pow.f64 x 6)) (+.f64 (.f64 1/40320 (pow.f64 x 10)) (.f64 -1/720 (pow.f64 x 8)))))
(*.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2))
(*.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2))
(*.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2))
(*.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2))
(*.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2))
(*.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2))
(*.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2))
(*.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2))
1/3
(+.f64 (.f64 1/192 (.f64 (sqrt.f64 2) (pow.f64 x 4))) 1/3)
(+.f64 (.f64 1/192 (.f64 (sqrt.f64 2) (pow.f64 x 4))) (+.f64 (.f64 -1/2304 (.f64 (sqrt.f64 2) (pow.f64 x 6))) 1/3))
(+.f64 (.f64 1/192 (.f64 (sqrt.f64 2) (pow.f64 x 4))) (+.f64 (.f64 -1/2304 (.f64 (sqrt.f64 2) (pow.f64 x 6))) (+.f64 1/3 (.f64 1/69120 (.f64 (sqrt.f64 2) (pow.f64 x 8))))))
(.f64 -1/96 (.f64 (sqrt.f64 2) (*.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2))))
(+.f64 1/3 (.f64 -1/96 (.f64 (sqrt.f64 2) (*.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2)))))
(+.f64 1/3 (.f64 -1/96 (.f64 (sqrt.f64 2) (*.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2)))))
(+.f64 1/3 (.f64 -1/96 (.f64 (sqrt.f64 2) (*.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2)))))
(.f64 -1/96 (.f64 (sqrt.f64 2) (*.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2))))
(+.f64 1/3 (.f64 -1/96 (.f64 (sqrt.f64 2) (*.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2)))))
(+.f64 1/3 (.f64 -1/96 (.f64 (sqrt.f64 2) (*.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2)))))
(+.f64 1/3 (.f64 -1/96 (.f64 (sqrt.f64 2) (*.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2)))))

Outputs
(.f64 -1/2 (.f64 (sqrt.f64 2) (pow.f64 x 4)))
(+.f64 (.f64 1/24 (.f64 (sqrt.f64 2) (pow.f64 x 6))) (.f64 -1/2 (.f64 (sqrt.f64 2) (pow.f64 x 4))))
(fma.f64 1/24 (.f64 (sqrt.f64 2) (pow.f64 x 6)) (.f64 -1/2 (*.f64 (sqrt.f64 2) (pow.f64 x 4))))
(fma.f64 -1/2 (.f64 (sqrt.f64 2) (pow.f64 x 4)) (.f64 (sqrt.f64 2) (*.f64 1/24 (pow.f64 x 6))))
(.f64 (sqrt.f64 2) (fma.f64 -1/2 (pow.f64 x 4) (.f64 1/24 (pow.f64 x 6))))
(.f64 (sqrt.f64 2) (fma.f64 1/24 (pow.f64 x 6) (.f64 -1/2 (pow.f64 x 4))))
(+.f64 (.f64 1/24 (.f64 (sqrt.f64 2) (pow.f64 x 6))) (+.f64 (.f64 -1/2 (.f64 (sqrt.f64 2) (pow.f64 x 4))) (.f64 -1/720 (.f64 (sqrt.f64 2) (pow.f64 x 8)))))
(fma.f64 1/24 (.f64 (sqrt.f64 2) (pow.f64 x 6)) (fma.f64 -1/2 (.f64 (sqrt.f64 2) (pow.f64 x 4)) (.f64 -1/720 (.f64 (sqrt.f64 2) (pow.f64 x 8)))))
(fma.f64 1/24 (.f64 (sqrt.f64 2) (pow.f64 x 6)) (fma.f64 -1/2 (.f64 (sqrt.f64 2) (pow.f64 x 4)) (.f64 (sqrt.f64 2) (.f64 -1/720 (pow.f64 x 8)))))
(fma.f64 -1/2 (.f64 (sqrt.f64 2) (pow.f64 x 4)) (.f64 (sqrt.f64 2) (fma.f64 1/24 (pow.f64 x 6) (*.f64 -1/720 (pow.f64 x 8)))))
(.f64 (sqrt.f64 2) (fma.f64 -1/2 (pow.f64 x 4) (fma.f64 1/24 (pow.f64 x 6) (.f64 -1/720 (pow.f64 x 8)))))
(+.f64 (.f64 1/24 (.f64 (sqrt.f64 2) (pow.f64 x 6))) (+.f64 (.f64 -1/2 (.f64 (sqrt.f64 2) (pow.f64 x 4))) (+.f64 (.f64 -1/720 (.f64 (sqrt.f64 2) (pow.f64 x 8))) (.f64 1/40320 (.f64 (sqrt.f64 2) (pow.f64 x 10))))))
(fma.f64 1/24 (.f64 (sqrt.f64 2) (pow.f64 x 6)) (fma.f64 -1/2 (.f64 (sqrt.f64 2) (pow.f64 x 4)) (fma.f64 -1/720 (.f64 (sqrt.f64 2) (pow.f64 x 8)) (.f64 1/40320 (*.f64 (sqrt.f64 2) (pow.f64 x 10))))))
(fma.f64 1/24 (.f64 (sqrt.f64 2) (pow.f64 x 6)) (fma.f64 -1/2 (.f64 (sqrt.f64 2) (pow.f64 x 4)) (fma.f64 -1/720 (.f64 (sqrt.f64 2) (pow.f64 x 8)) (.f64 (sqrt.f64 2) (*.f64 1/40320 (pow.f64 x 10))))))
(+.f64 (.f64 (sqrt.f64 2) (fma.f64 -1/2 (pow.f64 x 4) (.f64 1/24 (pow.f64 x 6)))) (.f64 (sqrt.f64 2) (fma.f64 -1/720 (pow.f64 x 8) (.f64 1/40320 (pow.f64 x 10)))))
(.f64 (sqrt.f64 2) (fma.f64 -1/2 (pow.f64 x 4) (fma.f64 1/24 (pow.f64 x 6) (fma.f64 1/40320 (pow.f64 x 10) (.f64 -1/720 (pow.f64 x 8))))))
(.f64 (sqrt.f64 2) (fma.f64 -1/2 (pow.f64 x 4) (fma.f64 1/24 (pow.f64 x 6) (fma.f64 -1/720 (pow.f64 x 8) (.f64 1/40320 (pow.f64 x 10))))))
(.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2)))
(.f64 (sqrt.f64 2) (.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x)))
(.f64 (sqrt.f64 2) (.f64 x (*.f64 x (-.f64 (cos.f64 x) 1))))
(.f64 (sqrt.f64 2) (.f64 x (-.f64 (*.f64 x (cos.f64 x)) x)))
(.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2)))
(.f64 (sqrt.f64 2) (.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x)))
(.f64 (sqrt.f64 2) (.f64 x (*.f64 x (-.f64 (cos.f64 x) 1))))
(.f64 (sqrt.f64 2) (.f64 x (-.f64 (*.f64 x (cos.f64 x)) x)))
(.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2)))
(.f64 (sqrt.f64 2) (.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x)))
(.f64 (sqrt.f64 2) (.f64 x (*.f64 x (-.f64 (cos.f64 x) 1))))
(.f64 (sqrt.f64 2) (.f64 x (-.f64 (*.f64 x (cos.f64 x)) x)))
(.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2)))
(.f64 (sqrt.f64 2) (.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x)))
(.f64 (sqrt.f64 2) (.f64 x (*.f64 x (-.f64 (cos.f64 x) 1))))
(.f64 (sqrt.f64 2) (.f64 x (-.f64 (*.f64 x (cos.f64 x)) x)))
(.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2)))
(.f64 (sqrt.f64 2) (.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x)))
(.f64 (sqrt.f64 2) (.f64 x (*.f64 x (-.f64 (cos.f64 x) 1))))
(.f64 (sqrt.f64 2) (.f64 x (-.f64 (*.f64 x (cos.f64 x)) x)))
(.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2)))
(.f64 (sqrt.f64 2) (.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x)))
(.f64 (sqrt.f64 2) (.f64 x (*.f64 x (-.f64 (cos.f64 x) 1))))
(.f64 (sqrt.f64 2) (.f64 x (-.f64 (*.f64 x (cos.f64 x)) x)))
(.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2)))
(.f64 (sqrt.f64 2) (.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x)))
(.f64 (sqrt.f64 2) (.f64 x (*.f64 x (-.f64 (cos.f64 x) 1))))
(.f64 (sqrt.f64 2) (.f64 x (-.f64 (*.f64 x (cos.f64 x)) x)))
(.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2)))
(.f64 (sqrt.f64 2) (.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x)))
(.f64 (sqrt.f64 2) (.f64 x (*.f64 x (-.f64 (cos.f64 x) 1))))
(.f64 (sqrt.f64 2) (.f64 x (-.f64 (*.f64 x (cos.f64 x)) x)))
(*.f64 -1/2 (pow.f64 x 4))
(+.f64 (.f64 -1/2 (pow.f64 x 4)) (.f64 1/24 (pow.f64 x 6)))
(fma.f64 -1/2 (pow.f64 x 4) (*.f64 1/24 (pow.f64 x 6)))
(fma.f64 1/24 (pow.f64 x 6) (*.f64 -1/2 (pow.f64 x 4)))
(+.f64 (.f64 -1/2 (pow.f64 x 4)) (+.f64 (.f64 1/24 (pow.f64 x 6)) (*.f64 -1/720 (pow.f64 x 8))))
(fma.f64 -1/2 (pow.f64 x 4) (fma.f64 1/24 (pow.f64 x 6) (*.f64 -1/720 (pow.f64 x 8))))
(+.f64 (.f64 -1/2 (pow.f64 x 4)) (+.f64 (.f64 1/24 (pow.f64 x 6)) (+.f64 (.f64 1/40320 (pow.f64 x 10)) (.f64 -1/720 (pow.f64 x 8)))))
(fma.f64 -1/2 (pow.f64 x 4) (fma.f64 1/24 (pow.f64 x 6) (fma.f64 1/40320 (pow.f64 x 10) (*.f64 -1/720 (pow.f64 x 8)))))
(fma.f64 -1/2 (pow.f64 x 4) (fma.f64 1/24 (pow.f64 x 6) (fma.f64 -1/720 (pow.f64 x 8) (*.f64 1/40320 (pow.f64 x 10)))))
(*.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2))
(.f64 (+.f64 (cos.f64 x) -1) (.f64 x x))
(.f64 x (.f64 x (-.f64 (cos.f64 x) 1)))
(.f64 x (-.f64 (.f64 x (cos.f64 x)) x))
(*.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2))
(.f64 (+.f64 (cos.f64 x) -1) (.f64 x x))
(.f64 x (.f64 x (-.f64 (cos.f64 x) 1)))
(.f64 x (-.f64 (.f64 x (cos.f64 x)) x))
(*.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2))
(.f64 (+.f64 (cos.f64 x) -1) (.f64 x x))
(.f64 x (.f64 x (-.f64 (cos.f64 x) 1)))
(.f64 x (-.f64 (.f64 x (cos.f64 x)) x))
(*.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2))
(.f64 (+.f64 (cos.f64 x) -1) (.f64 x x))
(.f64 x (.f64 x (-.f64 (cos.f64 x) 1)))
(.f64 x (-.f64 (.f64 x (cos.f64 x)) x))
(*.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2))
(.f64 (+.f64 (cos.f64 x) -1) (.f64 x x))
(.f64 x (.f64 x (-.f64 (cos.f64 x) 1)))
(.f64 x (-.f64 (.f64 x (cos.f64 x)) x))
(*.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2))
(.f64 (+.f64 (cos.f64 x) -1) (.f64 x x))
(.f64 x (.f64 x (-.f64 (cos.f64 x) 1)))
(.f64 x (-.f64 (.f64 x (cos.f64 x)) x))
(*.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2))
(.f64 (+.f64 (cos.f64 x) -1) (.f64 x x))
(.f64 x (.f64 x (-.f64 (cos.f64 x) 1)))
(.f64 x (-.f64 (.f64 x (cos.f64 x)) x))
(*.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2))
(.f64 (+.f64 (cos.f64 x) -1) (.f64 x x))
(.f64 x (.f64 x (-.f64 (cos.f64 x) 1)))
(.f64 x (-.f64 (.f64 x (cos.f64 x)) x))
1/3
(+.f64 (.f64 1/192 (.f64 (sqrt.f64 2) (pow.f64 x 4))) 1/3)
(fma.f64 1/192 (*.f64 (sqrt.f64 2) (pow.f64 x 4)) 1/3)
(fma.f64 (*.f64 (sqrt.f64 2) 1/192) (pow.f64 x 4) 1/3)
(fma.f64 (sqrt.f64 2) (*.f64 (pow.f64 x 4) 1/192) 1/3)
(+.f64 (.f64 1/192 (.f64 (sqrt.f64 2) (pow.f64 x 4))) (+.f64 (.f64 -1/2304 (.f64 (sqrt.f64 2) (pow.f64 x 6))) 1/3))
(fma.f64 1/192 (.f64 (sqrt.f64 2) (pow.f64 x 4)) (fma.f64 -1/2304 (.f64 (sqrt.f64 2) (pow.f64 x 6)) 1/3))
(fma.f64 (.f64 (sqrt.f64 2) (pow.f64 x 4)) 1/192 (fma.f64 (.f64 (sqrt.f64 2) (pow.f64 x 6)) -1/2304 1/3))
(+.f64 1/3 (.f64 (sqrt.f64 2) (+.f64 (.f64 (pow.f64 x 4) 1/192) (*.f64 (pow.f64 x 6) -1/2304))))
(+.f64 (.f64 1/192 (.f64 (sqrt.f64 2) (pow.f64 x 4))) (+.f64 (.f64 -1/2304 (.f64 (sqrt.f64 2) (pow.f64 x 6))) (+.f64 1/3 (.f64 1/69120 (.f64 (sqrt.f64 2) (pow.f64 x 8))))))
(fma.f64 1/192 (.f64 (sqrt.f64 2) (pow.f64 x 4)) (fma.f64 -1/2304 (.f64 (sqrt.f64 2) (pow.f64 x 6)) (+.f64 1/3 (.f64 (.f64 (sqrt.f64 2) (pow.f64 x 8)) 1/69120))))
(fma.f64 (.f64 (sqrt.f64 2) (pow.f64 x 4)) 1/192 (fma.f64 (.f64 (sqrt.f64 2) (pow.f64 x 6)) -1/2304 (fma.f64 (*.f64 (sqrt.f64 2) (pow.f64 x 8)) 1/69120 1/3)))
(+.f64 (fma.f64 (pow.f64 x 8) (.f64 (sqrt.f64 2) 1/69120) 1/3) (.f64 (sqrt.f64 2) (+.f64 (.f64 (pow.f64 x 4) 1/192) (.f64 (pow.f64 x 6) -1/2304))))
(+.f64 1/3 (.f64 (sqrt.f64 2) (+.f64 (+.f64 (.f64 (pow.f64 x 8) 1/69120) (.f64 (pow.f64 x 6) -1/2304)) (.f64 (pow.f64 x 4) 1/192))))
(+.f64 1/3 (.f64 (sqrt.f64 2) (+.f64 (.f64 (pow.f64 x 4) 1/192) (+.f64 (.f64 (pow.f64 x 8) 1/69120) (.f64 (pow.f64 x 6) -1/2304)))))
(.f64 -1/96 (.f64 (sqrt.f64 2) (*.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2))))
(.f64 (.f64 (sqrt.f64 2) (.f64 (+.f64 (cos.f64 x) -1) (.f64 x x))) -1/96)
(.f64 (.f64 x (.f64 x (-.f64 (cos.f64 x) 1))) (.f64 (sqrt.f64 2) -1/96))
(.f64 (.f64 (sqrt.f64 2) (+.f64 (cos.f64 x) -1)) (.f64 x (.f64 x -1/96)))
(.f64 (sqrt.f64 2) (.f64 (+.f64 (cos.f64 x) -1) (.f64 x (.f64 x -1/96))))
(.f64 (.f64 (sqrt.f64 2) (.f64 x x)) (+.f64 (.f64 (cos.f64 x) -1/96) 1/96))
(+.f64 1/3 (.f64 -1/96 (.f64 (sqrt.f64 2) (*.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2)))))
(+.f64 1/3 (.f64 (.f64 (sqrt.f64 2) (.f64 (+.f64 (cos.f64 x) -1) (.f64 x x))) -1/96))
(fma.f64 (.f64 (sqrt.f64 2) (.f64 x (*.f64 x (-.f64 (cos.f64 x) 1)))) -1/96 1/3)
(fma.f64 (.f64 (sqrt.f64 2) (+.f64 (cos.f64 x) -1)) (.f64 x (*.f64 x -1/96)) 1/3)
(fma.f64 (sqrt.f64 2) (.f64 (+.f64 (cos.f64 x) -1) (.f64 x (*.f64 x -1/96))) 1/3)
(+.f64 1/3 (.f64 -1/96 (.f64 (sqrt.f64 2) (*.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2)))))
(+.f64 1/3 (.f64 (.f64 (sqrt.f64 2) (.f64 (+.f64 (cos.f64 x) -1) (.f64 x x))) -1/96))
(fma.f64 (.f64 (sqrt.f64 2) (.f64 x (*.f64 x (-.f64 (cos.f64 x) 1)))) -1/96 1/3)
(fma.f64 (.f64 (sqrt.f64 2) (+.f64 (cos.f64 x) -1)) (.f64 x (*.f64 x -1/96)) 1/3)
(fma.f64 (sqrt.f64 2) (.f64 (+.f64 (cos.f64 x) -1) (.f64 x (*.f64 x -1/96))) 1/3)
(+.f64 1/3 (.f64 -1/96 (.f64 (sqrt.f64 2) (*.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2)))))
(+.f64 1/3 (.f64 (.f64 (sqrt.f64 2) (.f64 (+.f64 (cos.f64 x) -1) (.f64 x x))) -1/96))
(fma.f64 (.f64 (sqrt.f64 2) (.f64 x (*.f64 x (-.f64 (cos.f64 x) 1)))) -1/96 1/3)
(fma.f64 (.f64 (sqrt.f64 2) (+.f64 (cos.f64 x) -1)) (.f64 x (*.f64 x -1/96)) 1/3)
(fma.f64 (sqrt.f64 2) (.f64 (+.f64 (cos.f64 x) -1) (.f64 x (*.f64 x -1/96))) 1/3)
(.f64 -1/96 (.f64 (sqrt.f64 2) (*.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2))))
(.f64 (.f64 (sqrt.f64 2) (.f64 (+.f64 (cos.f64 x) -1) (.f64 x x))) -1/96)
(.f64 (.f64 x (.f64 x (-.f64 (cos.f64 x) 1))) (.f64 (sqrt.f64 2) -1/96))
(.f64 (.f64 (sqrt.f64 2) (+.f64 (cos.f64 x) -1)) (.f64 x (.f64 x -1/96)))
(.f64 (sqrt.f64 2) (.f64 (+.f64 (cos.f64 x) -1) (.f64 x (.f64 x -1/96))))
(.f64 (.f64 (sqrt.f64 2) (.f64 x x)) (+.f64 (.f64 (cos.f64 x) -1/96) 1/96))
(+.f64 1/3 (.f64 -1/96 (.f64 (sqrt.f64 2) (*.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2)))))
(+.f64 1/3 (.f64 (.f64 (sqrt.f64 2) (.f64 (+.f64 (cos.f64 x) -1) (.f64 x x))) -1/96))
(fma.f64 (.f64 (sqrt.f64 2) (.f64 x (*.f64 x (-.f64 (cos.f64 x) 1)))) -1/96 1/3)
(fma.f64 (.f64 (sqrt.f64 2) (+.f64 (cos.f64 x) -1)) (.f64 x (*.f64 x -1/96)) 1/3)
(fma.f64 (sqrt.f64 2) (.f64 (+.f64 (cos.f64 x) -1) (.f64 x (*.f64 x -1/96))) 1/3)
(+.f64 1/3 (.f64 -1/96 (.f64 (sqrt.f64 2) (*.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2)))))
(+.f64 1/3 (.f64 (.f64 (sqrt.f64 2) (.f64 (+.f64 (cos.f64 x) -1) (.f64 x x))) -1/96))
(fma.f64 (.f64 (sqrt.f64 2) (.f64 x (*.f64 x (-.f64 (cos.f64 x) 1)))) -1/96 1/3)
(fma.f64 (.f64 (sqrt.f64 2) (+.f64 (cos.f64 x) -1)) (.f64 x (*.f64 x -1/96)) 1/3)
(fma.f64 (sqrt.f64 2) (.f64 (+.f64 (cos.f64 x) -1) (.f64 x (*.f64 x -1/96))) 1/3)
(+.f64 1/3 (.f64 -1/96 (.f64 (sqrt.f64 2) (*.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2)))))
(+.f64 1/3 (.f64 (.f64 (sqrt.f64 2) (.f64 (+.f64 (cos.f64 x) -1) (.f64 x x))) -1/96))
(fma.f64 (.f64 (sqrt.f64 2) (.f64 x (*.f64 x (-.f64 (cos.f64 x) 1)))) -1/96 1/3)
(fma.f64 (.f64 (sqrt.f64 2) (+.f64 (cos.f64 x) -1)) (.f64 x (*.f64 x -1/96)) 1/3)
(fma.f64 (sqrt.f64 2) (.f64 (+.f64 (cos.f64 x) -1) (.f64 x (*.f64 x -1/96))) 1/3)

localize81.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.8b	(pow.f64 (*.f64 (+.f64 (sqrt.f64 45/4) -3/2) (cos.f64 x)) 3)
✓	1.0b	(+.f64 (sqrt.f64 45/4) -3/2)
✓	1.1b	(cbrt.f64 (pow.f64 (*.f64 (+.f64 (sqrt.f64 45/4) -3/2) (cos.f64 x)) 3))
	2.0b	(-.f64 (cos.f64 x) 1)

Compiler

Compiled 178 to 139 computations (21.9% saved)

series6.0ms (0%)

Counts

3 → 24

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	x	@	0	(pow.f64 (*.f64 (+.f64 (sqrt.f64 45/4) -3/2) (cos.f64 x)) 3)
1.0ms	x	@	inf	(pow.f64 (*.f64 (+.f64 (sqrt.f64 45/4) -3/2) (cos.f64 x)) 3)
1.0ms	x	@	-inf	(pow.f64 (*.f64 (+.f64 (sqrt.f64 45/4) -3/2) (cos.f64 x)) 3)
1.0ms	x	@	0	(cbrt.f64 (pow.f64 (*.f64 (+.f64 (sqrt.f64 45/4) -3/2) (cos.f64 x)) 3))
1.0ms	x	@	-inf	(cbrt.f64 (pow.f64 (*.f64 (+.f64 (sqrt.f64 45/4) -3/2) (cos.f64 x)) 3))

rewrite89.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

421×	`log-prod_binary64`
337×	`cbrt-prod_binary64`
320×	`prod-exp_binary64`
316×	`exp-prod_binary64`
261×	`pow-prod-down_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	31
1	241	31
2	2553	31

Stop Event

1×	node limit

Counts

3 → 140

Calls

Call 1

Inputs
(cbrt.f64 (pow.f64 (*.f64 (+.f64 (sqrt.f64 45/4) -3/2) (cos.f64 x)) 3))
(+.f64 (sqrt.f64 45/4) -3/2)
(pow.f64 (*.f64 (+.f64 (sqrt.f64 45/4) -3/2) (cos.f64 x)) 3)

Outputs

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(#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 45/4 1/4) (pow.f64 45/4 1/4) -3/2)))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (*.f64 (+.f64 (sqrt.f64 45/4) -3/2) (cos.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 (*.f64 (+.f64 (sqrt.f64 45/4) -3/2) (cos.f64 x)) 3)) 2))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (*.f64 (+.f64 (sqrt.f64 45/4) -3/2) (cos.f64 x)) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (*.f64 (+.f64 (sqrt.f64 45/4) -3/2) (cos.f64 x)) 3)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (*.f64 (+.f64 (sqrt.f64 45/4) -3/2) (cos.f64 x)) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 (*.f64 (+.f64 (sqrt.f64 45/4) -3/2) (cos.f64 x)) 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 45/4) -3/2) (*.f64 (cos.f64 x) (pow.f64 (*.f64 (+.f64 (sqrt.f64 45/4) -3/2) (cos.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 x) (*.f64 (+.f64 (sqrt.f64 45/4) -3/2) (pow.f64 (*.f64 (+.f64 (sqrt.f64 45/4) -3/2) (cos.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (sqrt.f64 45/4) -3/2) (cos.f64 x)) (pow.f64 (*.f64 (+.f64 (sqrt.f64 45/4) -3/2) (cos.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (+.f64 (sqrt.f64 45/4) -3/2) (cos.f64 x)) 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (*.f64 (+.f64 (sqrt.f64 45/4) -3/2) (cos.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (+.f64 (sqrt.f64 45/4) -3/2) (cos.f64 x)) 2) (*.f64 (+.f64 (sqrt.f64 45/4) -3/2) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 (sqrt.f64 45/4) -3/2) (cos.f64 x))) 2) (*.f64 (cbrt.f64 (*.f64 (+.f64 (sqrt.f64 45/4) -3/2) (cos.f64 x))) (pow.f64 (*.f64 (+.f64 (sqrt.f64 45/4) -3/2) (cos.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (+.f64 (sqrt.f64 45/4) -3/2) (cos.f64 x))) (pow.f64 (*.f64 (+.f64 (sqrt.f64 45/4) -3/2) (cos.f64 x)) 5/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 (sqrt.f64 45/4) -3/2) 3) (pow.f64 (cos.f64 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (+.f64 (sqrt.f64 45/4) -3/2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (+.f64 (sqrt.f64 45/4) -3/2) (cos.f64 x)) 3/2) (pow.f64 (*.f64 (+.f64 (sqrt.f64 45/4) -3/2) (cos.f64 x)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (+.f64 (sqrt.f64 45/4) -3/2) (cos.f64 x)) 5/2) (sqrt.f64 (*.f64 (+.f64 (sqrt.f64 45/4) -3/2) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (*.f64 (+.f64 (sqrt.f64 45/4) -3/2) (cos.f64 x)) 2) (+.f64 (sqrt.f64 45/4) -3/2)) (cos.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (*.f64 (+.f64 (sqrt.f64 45/4) -3/2) (cos.f64 x)) 2) (cos.f64 x)) (+.f64 (sqrt.f64 45/4) -3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (*.f64 (+.f64 (sqrt.f64 45/4) -3/2) (cos.f64 x)) 2) 1) (*.f64 (+.f64 (sqrt.f64 45/4) -3/2) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 (+.f64 (sqrt.f64 45/4) -3/2) (cos.f64 x)) 8)) (cbrt.f64 (*.f64 (+.f64 (sqrt.f64 45/4) -3/2) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (*.f64 (+.f64 (sqrt.f64 45/4) -3/2) (cos.f64 x)) 9))) (cbrt.f64 (sqrt.f64 (pow.f64 (*.f64 (+.f64 (sqrt.f64 45/4) -3/2) (cos.f64 x)) 9))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 (+.f64 (sqrt.f64 45/4) -3/2) (cos.f64 x)) 7)) (pow.f64 (cbrt.f64 (*.f64 (+.f64 (sqrt.f64 45/4) -3/2) (cos.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (pow.f64 (*.f64 (+.f64 (sqrt.f64 45/4) -3/2) (cos.f64 x)) 6) 1)) (*.f64 (+.f64 (sqrt.f64 45/4) -3/2) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (+.f64 (sqrt.f64 45/4) -3/2) (cos.f64 x)) 6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (*.f64 (+.f64 (sqrt.f64 45/4) -3/2) (cos.f64 x)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (+.f64 (sqrt.f64 45/4) -3/2) (cos.f64 x)) 9))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (pow.f64 (+.f64 (sqrt.f64 45/4) -3/2) 3) 3) (pow.f64 (pow.f64 (cos.f64 x) 3) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (pow.f64 (cos.f64 x) 3) 3) (pow.f64 (pow.f64 (+.f64 (sqrt.f64 45/4) -3/2) 3) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (*.f64 (+.f64 (sqrt.f64 45/4) -3/2) (cos.f64 x)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (*.f64 (+.f64 (sqrt.f64 45/4) -3/2) (cos.f64 x)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (pow.f64 (*.f64 (+.f64 (sqrt.f64 45/4) -3/2) (cos.f64 x)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (*.f64 (+.f64 (sqrt.f64 45/4) -3/2) (cos.f64 x)))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (+.f64 (sqrt.f64 45/4) -3/2) (cos.f64 x)) 9)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (+.f64 (sqrt.f64 45/4) -3/2) (cos.f64 x))) 3/2) 2))))))

simplify83.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

848×	`fma-neg_binary64`
584×	`fma-def_binary64`
564×	`distribute-rgt-out_binary64`
412×	`associate-l_binary64`
380×	`associate-r_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	74	611
1	213	575
2	819	518
3	5327	486
4	7260	486

Stop Event

1×	node limit

Counts

164 → 158

Calls

Call 1

Inputs
(-.f64 (sqrt.f64 45/4) 3/2)
(-.f64 (+.f64 (sqrt.f64 45/4) (.f64 -1/2 (.f64 (-.f64 (sqrt.f64 45/4) 3/2) (pow.f64 x 2)))) 3/2)
(-.f64 (+.f64 (sqrt.f64 45/4) (+.f64 (.f64 -1/2 (.f64 (-.f64 (sqrt.f64 45/4) 3/2) (pow.f64 x 2))) (.f64 1/24 (.f64 (-.f64 (sqrt.f64 45/4) 3/2) (pow.f64 x 4))))) 3/2)
(-.f64 (+.f64 (sqrt.f64 45/4) (+.f64 (.f64 -1/2 (.f64 (-.f64 (sqrt.f64 45/4) 3/2) (pow.f64 x 2))) (+.f64 (.f64 -1/720 (.f64 (-.f64 (sqrt.f64 45/4) 3/2) (pow.f64 x 6))) (.f64 1/24 (.f64 (-.f64 (sqrt.f64 45/4) 3/2) (pow.f64 x 4)))))) 3/2)
(*.f64 (cos.f64 x) (-.f64 (sqrt.f64 45/4) 3/2))
(*.f64 (cos.f64 x) (-.f64 (sqrt.f64 45/4) 3/2))
(*.f64 (cos.f64 x) (-.f64 (sqrt.f64 45/4) 3/2))
(*.f64 (cos.f64 x) (-.f64 (sqrt.f64 45/4) 3/2))
(*.f64 (cos.f64 x) (-.f64 (sqrt.f64 45/4) 3/2))
(*.f64 (cos.f64 x) (-.f64 (sqrt.f64 45/4) 3/2))
(*.f64 (cos.f64 x) (-.f64 (sqrt.f64 45/4) 3/2))
(*.f64 (cos.f64 x) (-.f64 (sqrt.f64 45/4) 3/2))
(pow.f64 (-.f64 (sqrt.f64 45/4) 3/2) 3)
(+.f64 (.f64 (+.f64 (.f64 -1/2 (pow.f64 (-.f64 (sqrt.f64 45/4) 3/2) 3)) (*.f64 -1 (pow.f64 (-.f64 (sqrt.f64 45/4) 3/2) 3))) (pow.f64 x 2)) (pow.f64 (-.f64 (sqrt.f64 45/4) 3/2) 3))
(+.f64 (.f64 (+.f64 (.f64 -1/2 (pow.f64 (-.f64 (sqrt.f64 45/4) 3/2) 3)) (.f64 -1 (pow.f64 (-.f64 (sqrt.f64 45/4) 3/2) 3))) (pow.f64 x 2)) (+.f64 (pow.f64 (-.f64 (sqrt.f64 45/4) 3/2) 3) (.f64 (+.f64 (.f64 1/2 (pow.f64 (-.f64 (sqrt.f64 45/4) 3/2) 3)) (+.f64 (.f64 (-.f64 (sqrt.f64 45/4) 3/2) (+.f64 (.f64 1/4 (pow.f64 (-.f64 (sqrt.f64 45/4) 3/2) 2)) (.f64 1/12 (pow.f64 (-.f64 (sqrt.f64 45/4) 3/2) 2)))) (*.f64 1/24 (pow.f64 (-.f64 (sqrt.f64 45/4) 3/2) 3)))) (pow.f64 x 4))))
(+.f64 (.f64 (+.f64 (.f64 -1/2 (pow.f64 (-.f64 (sqrt.f64 45/4) 3/2) 3)) (.f64 -1 (pow.f64 (-.f64 (sqrt.f64 45/4) 3/2) 3))) (pow.f64 x 2)) (+.f64 (pow.f64 (-.f64 (sqrt.f64 45/4) 3/2) 3) (+.f64 (.f64 (+.f64 (.f64 -1/24 (pow.f64 (-.f64 (sqrt.f64 45/4) 3/2) 3)) (+.f64 (.f64 -1/2 (.f64 (+.f64 (.f64 1/4 (pow.f64 (-.f64 (sqrt.f64 45/4) 3/2) 2)) (.f64 1/12 (pow.f64 (-.f64 (sqrt.f64 45/4) 3/2) 2))) (-.f64 (sqrt.f64 45/4) 3/2))) (+.f64 (.f64 (-.f64 (sqrt.f64 45/4) 3/2) (+.f64 (.f64 -1/360 (pow.f64 (-.f64 (sqrt.f64 45/4) 3/2) 2)) (.f64 -1/24 (pow.f64 (-.f64 (sqrt.f64 45/4) 3/2) 2)))) (.f64 -1/720 (pow.f64 (-.f64 (sqrt.f64 45/4) 3/2) 3))))) (pow.f64 x 6)) (.f64 (+.f64 (.f64 1/2 (pow.f64 (-.f64 (sqrt.f64 45/4) 3/2) 3)) (+.f64 (.f64 (-.f64 (sqrt.f64 45/4) 3/2) (+.f64 (.f64 1/4 (pow.f64 (-.f64 (sqrt.f64 45/4) 3/2) 2)) (.f64 1/12 (pow.f64 (-.f64 (sqrt.f64 45/4) 3/2) 2)))) (*.f64 1/24 (pow.f64 (-.f64 (sqrt.f64 45/4) 3/2) 3)))) (pow.f64 x 4)))))
(*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (-.f64 (sqrt.f64 45/4) 3/2) 3))
(*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (-.f64 (sqrt.f64 45/4) 3/2) 3))
(*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (-.f64 (sqrt.f64 45/4) 3/2) 3))
(*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (-.f64 (sqrt.f64 45/4) 3/2) 3))
(*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (-.f64 (sqrt.f64 45/4) 3/2) 3))
(*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (-.f64 (sqrt.f64 45/4) 3/2) 3))
(*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (-.f64 (sqrt.f64 45/4) 3/2) 3))
(*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (-.f64 (sqrt.f64 45/4) 3/2) 3))

Outputs
(-.f64 (sqrt.f64 45/4) 3/2)
(+.f64 (sqrt.f64 45/4) -3/2)
(-.f64 (+.f64 (sqrt.f64 45/4) (.f64 -1/2 (.f64 (-.f64 (sqrt.f64 45/4) 3/2) (pow.f64 x 2)))) 3/2)
(+.f64 (sqrt.f64 45/4) (-.f64 (.f64 -1/2 (.f64 (+.f64 (sqrt.f64 45/4) -3/2) (*.f64 x x))) 3/2))
(+.f64 (sqrt.f64 45/4) (fma.f64 -1/2 (.f64 (+.f64 (sqrt.f64 45/4) -3/2) (.f64 x x)) -3/2))
(.f64 (+.f64 (.f64 -1/2 (*.f64 x x)) 1) (+.f64 (sqrt.f64 45/4) -3/2))
(-.f64 (+.f64 (sqrt.f64 45/4) (+.f64 (.f64 -1/2 (.f64 (-.f64 (sqrt.f64 45/4) 3/2) (pow.f64 x 2))) (.f64 1/24 (.f64 (-.f64 (sqrt.f64 45/4) 3/2) (pow.f64 x 4))))) 3/2)
(+.f64 (sqrt.f64 45/4) (-.f64 (fma.f64 -1/2 (.f64 (+.f64 (sqrt.f64 45/4) -3/2) (.f64 x x)) (.f64 (.f64 1/24 (+.f64 (sqrt.f64 45/4) -3/2)) (pow.f64 x 4))) 3/2))
(+.f64 (sqrt.f64 45/4) (+.f64 (.f64 (+.f64 (sqrt.f64 45/4) -3/2) (.f64 (pow.f64 x 4) 1/24)) (fma.f64 -1/2 (.f64 (+.f64 (sqrt.f64 45/4) -3/2) (.f64 x x)) -3/2)))
(+.f64 (sqrt.f64 45/4) (fma.f64 (*.f64 x x) (fma.f64 (sqrt.f64 45/4) -1/2 3/4) (fma.f64 (pow.f64 x 4) (fma.f64 (sqrt.f64 45/4) 1/24 -1/16) -3/2)))
(.f64 (+.f64 (sqrt.f64 45/4) -3/2) (+.f64 (+.f64 (.f64 -1/2 (.f64 x x)) 1) (.f64 1/24 (pow.f64 x 4))))
(-.f64 (+.f64 (sqrt.f64 45/4) (+.f64 (.f64 -1/2 (.f64 (-.f64 (sqrt.f64 45/4) 3/2) (pow.f64 x 2))) (+.f64 (.f64 -1/720 (.f64 (-.f64 (sqrt.f64 45/4) 3/2) (pow.f64 x 6))) (.f64 1/24 (.f64 (-.f64 (sqrt.f64 45/4) 3/2) (pow.f64 x 4)))))) 3/2)
(+.f64 (sqrt.f64 45/4) (-.f64 (fma.f64 -1/2 (.f64 (+.f64 (sqrt.f64 45/4) -3/2) (.f64 x x)) (fma.f64 -1/720 (.f64 (+.f64 (sqrt.f64 45/4) -3/2) (pow.f64 x 6)) (.f64 (*.f64 1/24 (+.f64 (sqrt.f64 45/4) -3/2)) (pow.f64 x 4)))) 3/2))
(+.f64 (sqrt.f64 45/4) (+.f64 (fma.f64 1/24 (.f64 (+.f64 (sqrt.f64 45/4) -3/2) (pow.f64 x 4)) (.f64 -1/720 (.f64 (+.f64 (sqrt.f64 45/4) -3/2) (pow.f64 x 6)))) (fma.f64 -1/2 (.f64 (+.f64 (sqrt.f64 45/4) -3/2) (*.f64 x x)) -3/2)))
(+.f64 (.f64 (+.f64 (.f64 -1/2 (.f64 x x)) 1) (+.f64 (sqrt.f64 45/4) -3/2)) (.f64 (+.f64 (sqrt.f64 45/4) -3/2) (+.f64 (.f64 1/24 (pow.f64 x 4)) (.f64 -1/720 (pow.f64 x 6)))))
(+.f64 (.f64 (+.f64 (sqrt.f64 45/4) -3/2) (+.f64 (+.f64 (.f64 -1/2 (.f64 x x)) 1) (.f64 1/24 (pow.f64 x 4)))) (*.f64 (pow.f64 x 6) (fma.f64 (sqrt.f64 45/4) -1/720 1/480)))
(*.f64 (cos.f64 x) (-.f64 (sqrt.f64 45/4) 3/2))
(*.f64 (+.f64 (sqrt.f64 45/4) -3/2) (cos.f64 x))
(*.f64 (cos.f64 x) (-.f64 (sqrt.f64 45/4) 3/2))
(*.f64 (+.f64 (sqrt.f64 45/4) -3/2) (cos.f64 x))
(*.f64 (cos.f64 x) (-.f64 (sqrt.f64 45/4) 3/2))
(*.f64 (+.f64 (sqrt.f64 45/4) -3/2) (cos.f64 x))
(*.f64 (cos.f64 x) (-.f64 (sqrt.f64 45/4) 3/2))
(*.f64 (+.f64 (sqrt.f64 45/4) -3/2) (cos.f64 x))
(*.f64 (cos.f64 x) (-.f64 (sqrt.f64 45/4) 3/2))
(*.f64 (+.f64 (sqrt.f64 45/4) -3/2) (cos.f64 x))
(*.f64 (cos.f64 x) (-.f64 (sqrt.f64 45/4) 3/2))
(*.f64 (+.f64 (sqrt.f64 45/4) -3/2) (cos.f64 x))
(*.f64 (cos.f64 x) (-.f64 (sqrt.f64 45/4) 3/2))
(*.f64 (+.f64 (sqrt.f64 45/4) -3/2) (cos.f64 x))
(*.f64 (cos.f64 x) (-.f64 (sqrt.f64 45/4) 3/2))
(*.f64 (+.f64 (sqrt.f64 45/4) -3/2) (cos.f64 x))
(pow.f64 (-.f64 (sqrt.f64 45/4) 3/2) 3)
(pow.f64 (+.f64 (sqrt.f64 45/4) -3/2) 3)
(+.f64 (.f64 (+.f64 (.f64 -1/2 (pow.f64 (-.f64 (sqrt.f64 45/4) 3/2) 3)) (*.f64 -1 (pow.f64 (-.f64 (sqrt.f64 45/4) 3/2) 3))) (pow.f64 x 2)) (pow.f64 (-.f64 (sqrt.f64 45/4) 3/2) 3))
(fma.f64 (.f64 (pow.f64 (+.f64 (sqrt.f64 45/4) -3/2) 3) -3/2) (.f64 x x) (pow.f64 (+.f64 (sqrt.f64 45/4) -3/2) 3))
(fma.f64 (.f64 x x) (.f64 (pow.f64 (+.f64 (sqrt.f64 45/4) -3/2) 3) -3/2) (pow.f64 (+.f64 (sqrt.f64 45/4) -3/2) 3))
(fma.f64 x (.f64 (pow.f64 (+.f64 (sqrt.f64 45/4) -3/2) 3) (.f64 -3/2 x)) (pow.f64 (+.f64 (sqrt.f64 45/4) -3/2) 3))
(.f64 (+.f64 (.f64 x (*.f64 x -3/2)) 1) (pow.f64 (+.f64 (sqrt.f64 45/4) -3/2) 3))
(+.f64 (.f64 (+.f64 (.f64 -1/2 (pow.f64 (-.f64 (sqrt.f64 45/4) 3/2) 3)) (.f64 -1 (pow.f64 (-.f64 (sqrt.f64 45/4) 3/2) 3))) (pow.f64 x 2)) (+.f64 (pow.f64 (-.f64 (sqrt.f64 45/4) 3/2) 3) (.f64 (+.f64 (.f64 1/2 (pow.f64 (-.f64 (sqrt.f64 45/4) 3/2) 3)) (+.f64 (.f64 (-.f64 (sqrt.f64 45/4) 3/2) (+.f64 (.f64 1/4 (pow.f64 (-.f64 (sqrt.f64 45/4) 3/2) 2)) (.f64 1/12 (pow.f64 (-.f64 (sqrt.f64 45/4) 3/2) 2)))) (*.f64 1/24 (pow.f64 (-.f64 (sqrt.f64 45/4) 3/2) 3)))) (pow.f64 x 4))))
(+.f64 (fma.f64 (.f64 (pow.f64 (+.f64 (sqrt.f64 45/4) -3/2) 3) -3/2) (.f64 x x) (pow.f64 (+.f64 (sqrt.f64 45/4) -3/2) 3)) (.f64 (pow.f64 x 4) (fma.f64 1/2 (pow.f64 (+.f64 (sqrt.f64 45/4) -3/2) 3) (fma.f64 (+.f64 (sqrt.f64 45/4) -3/2) (.f64 (pow.f64 (+.f64 (sqrt.f64 45/4) -3/2) 2) 1/3) (*.f64 1/24 (pow.f64 (+.f64 (sqrt.f64 45/4) -3/2) 3))))))
(fma.f64 (.f64 x x) (.f64 (pow.f64 (+.f64 (sqrt.f64 45/4) -3/2) 3) -3/2) (fma.f64 (pow.f64 x 4) (fma.f64 (pow.f64 (+.f64 (sqrt.f64 45/4) -3/2) 3) 1/2 (fma.f64 1/24 (pow.f64 (+.f64 (sqrt.f64 45/4) -3/2) 3) (*.f64 (pow.f64 (+.f64 (sqrt.f64 45/4) -3/2) 3) 1/3))) (pow.f64 (+.f64 (sqrt.f64 45/4) -3/2) 3)))
(fma.f64 x (.f64 (pow.f64 (+.f64 (sqrt.f64 45/4) -3/2) 3) (.f64 -3/2 x)) (fma.f64 (pow.f64 x 4) (fma.f64 1/24 (pow.f64 (+.f64 (sqrt.f64 45/4) -3/2) 3) (*.f64 (pow.f64 (+.f64 (sqrt.f64 45/4) -3/2) 3) 5/6)) (pow.f64 (+.f64 (sqrt.f64 45/4) -3/2) 3)))
(fma.f64 (pow.f64 x 4) (fma.f64 1/24 (pow.f64 (+.f64 (sqrt.f64 45/4) -3/2) 3) (.f64 (pow.f64 (+.f64 (sqrt.f64 45/4) -3/2) 3) 5/6)) (.f64 (+.f64 (.f64 x (.f64 x -3/2)) 1) (pow.f64 (+.f64 (sqrt.f64 45/4) -3/2) 3)))
(+.f64 (.f64 (+.f64 (.f64 -1/2 (pow.f64 (-.f64 (sqrt.f64 45/4) 3/2) 3)) (.f64 -1 (pow.f64 (-.f64 (sqrt.f64 45/4) 3/2) 3))) (pow.f64 x 2)) (+.f64 (pow.f64 (-.f64 (sqrt.f64 45/4) 3/2) 3) (+.f64 (.f64 (+.f64 (.f64 -1/24 (pow.f64 (-.f64 (sqrt.f64 45/4) 3/2) 3)) (+.f64 (.f64 -1/2 (.f64 (+.f64 (.f64 1/4 (pow.f64 (-.f64 (sqrt.f64 45/4) 3/2) 2)) (.f64 1/12 (pow.f64 (-.f64 (sqrt.f64 45/4) 3/2) 2))) (-.f64 (sqrt.f64 45/4) 3/2))) (+.f64 (.f64 (-.f64 (sqrt.f64 45/4) 3/2) (+.f64 (.f64 -1/360 (pow.f64 (-.f64 (sqrt.f64 45/4) 3/2) 2)) (.f64 -1/24 (pow.f64 (-.f64 (sqrt.f64 45/4) 3/2) 2)))) (.f64 -1/720 (pow.f64 (-.f64 (sqrt.f64 45/4) 3/2) 3))))) (pow.f64 x 6)) (.f64 (+.f64 (.f64 1/2 (pow.f64 (-.f64 (sqrt.f64 45/4) 3/2) 3)) (+.f64 (.f64 (-.f64 (sqrt.f64 45/4) 3/2) (+.f64 (.f64 1/4 (pow.f64 (-.f64 (sqrt.f64 45/4) 3/2) 2)) (.f64 1/12 (pow.f64 (-.f64 (sqrt.f64 45/4) 3/2) 2)))) (*.f64 1/24 (pow.f64 (-.f64 (sqrt.f64 45/4) 3/2) 3)))) (pow.f64 x 4)))))
(+.f64 (fma.f64 (.f64 (pow.f64 (+.f64 (sqrt.f64 45/4) -3/2) 3) -3/2) (.f64 x x) (pow.f64 (+.f64 (sqrt.f64 45/4) -3/2) 3)) (fma.f64 (fma.f64 -1/24 (pow.f64 (+.f64 (sqrt.f64 45/4) -3/2) 3) (fma.f64 -1/2 (.f64 (+.f64 (sqrt.f64 45/4) -3/2) (.f64 (pow.f64 (+.f64 (sqrt.f64 45/4) -3/2) 2) 1/3)) (fma.f64 (+.f64 (sqrt.f64 45/4) -3/2) (.f64 (pow.f64 (+.f64 (sqrt.f64 45/4) -3/2) 2) -2/45) (.f64 -1/720 (pow.f64 (+.f64 (sqrt.f64 45/4) -3/2) 3))))) (pow.f64 x 6) (.f64 (pow.f64 x 4) (fma.f64 1/2 (pow.f64 (+.f64 (sqrt.f64 45/4) -3/2) 3) (fma.f64 (+.f64 (sqrt.f64 45/4) -3/2) (.f64 (pow.f64 (+.f64 (sqrt.f64 45/4) -3/2) 2) 1/3) (*.f64 1/24 (pow.f64 (+.f64 (sqrt.f64 45/4) -3/2) 3)))))))
(+.f64 (fma.f64 (.f64 x x) (.f64 (pow.f64 (+.f64 (sqrt.f64 45/4) -3/2) 3) -3/2) (pow.f64 (+.f64 (sqrt.f64 45/4) -3/2) 3)) (fma.f64 (pow.f64 x 4) (fma.f64 (pow.f64 (+.f64 (sqrt.f64 45/4) -3/2) 3) 1/2 (fma.f64 1/24 (pow.f64 (+.f64 (sqrt.f64 45/4) -3/2) 3) (.f64 (pow.f64 (+.f64 (sqrt.f64 45/4) -3/2) 3) 1/3))) (.f64 (pow.f64 x 6) (fma.f64 (pow.f64 (+.f64 (sqrt.f64 45/4) -3/2) 3) -1/24 (fma.f64 -1/2 (.f64 (pow.f64 (+.f64 (sqrt.f64 45/4) -3/2) 3) 1/3) (fma.f64 -1/720 (pow.f64 (+.f64 (sqrt.f64 45/4) -3/2) 3) (.f64 (pow.f64 (+.f64 (sqrt.f64 45/4) -3/2) 3) -2/45)))))))
(fma.f64 x (.f64 (pow.f64 (+.f64 (sqrt.f64 45/4) -3/2) 3) (.f64 -3/2 x)) (fma.f64 (pow.f64 x 4) (fma.f64 1/24 (pow.f64 (+.f64 (sqrt.f64 45/4) -3/2) 3) (.f64 (pow.f64 (+.f64 (sqrt.f64 45/4) -3/2) 3) 5/6)) (fma.f64 (pow.f64 x 6) (+.f64 (.f64 (pow.f64 (+.f64 (sqrt.f64 45/4) -3/2) 3) -1/6) (fma.f64 (pow.f64 (+.f64 (sqrt.f64 45/4) -3/2) 3) -1/24 (*.f64 (pow.f64 (+.f64 (sqrt.f64 45/4) -3/2) 3) -11/240))) (pow.f64 (+.f64 (sqrt.f64 45/4) -3/2) 3))))
(+.f64 (.f64 (+.f64 (.f64 x (.f64 x -3/2)) 1) (pow.f64 (+.f64 (sqrt.f64 45/4) -3/2) 3)) (fma.f64 (pow.f64 x 6) (+.f64 (.f64 (pow.f64 (+.f64 (sqrt.f64 45/4) -3/2) 3) -11/240) (.f64 (.f64 -1/2 (pow.f64 (+.f64 (sqrt.f64 45/4) -3/2) 3)) 5/12)) (.f64 (pow.f64 x 4) (fma.f64 1/24 (pow.f64 (+.f64 (sqrt.f64 45/4) -3/2) 3) (.f64 (pow.f64 (+.f64 (sqrt.f64 45/4) -3/2) 3) 5/6)))))
(*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (-.f64 (sqrt.f64 45/4) 3/2) 3))
(*.f64 (pow.f64 (+.f64 (sqrt.f64 45/4) -3/2) 3) (pow.f64 (cos.f64 x) 3))
(*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (-.f64 (sqrt.f64 45/4) 3/2) 3))
(*.f64 (pow.f64 (+.f64 (sqrt.f64 45/4) -3/2) 3) (pow.f64 (cos.f64 x) 3))
(*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (-.f64 (sqrt.f64 45/4) 3/2) 3))
(*.f64 (pow.f64 (+.f64 (sqrt.f64 45/4) -3/2) 3) (pow.f64 (cos.f64 x) 3))
(*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (-.f64 (sqrt.f64 45/4) 3/2) 3))
(*.f64 (pow.f64 (+.f64 (sqrt.f64 45/4) -3/2) 3) (pow.f64 (cos.f64 x) 3))
(*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (-.f64 (sqrt.f64 45/4) 3/2) 3))
(*.f64 (pow.f64 (+.f64 (sqrt.f64 45/4) -3/2) 3) (pow.f64 (cos.f64 x) 3))
(*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (-.f64 (sqrt.f64 45/4) 3/2) 3))
(*.f64 (pow.f64 (+.f64 (sqrt.f64 45/4) -3/2) 3) (pow.f64 (cos.f64 x) 3))
(*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (-.f64 (sqrt.f64 45/4) 3/2) 3))
(*.f64 (pow.f64 (+.f64 (sqrt.f64 45/4) -3/2) 3) (pow.f64 (cos.f64 x) 3))
(*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (-.f64 (sqrt.f64 45/4) 3/2) 3))
(*.f64 (pow.f64 (+.f64 (sqrt.f64 45/4) -3/2) 3) (pow.f64 (cos.f64 x) 3))

localize121.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 265 to 185 computations (30.2% saved)

localize140.0ms (0.4%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 290 to 199 computations (31.4% saved)

eval826.0ms (2.2%)

Compiler: Compiled 44722 to 32012 computations (28.4% saved)

prune262.0ms (0.7%)

Pruning

86 alts after pruning (80 fresh and 6 done)

	Pruned	Kept	Total
New	897	20	917
Fresh	6	60	66
Picked	0	1	1
Done	3	5	8
Total	906	86	992

Error

0.0b

Counts

992 → 86

Alt Table

Click to see full alt table

Status	Error	Program
	0.4b	(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (/.f64 4 (+.f64 3 (sqrt.f64 5))) 2) (cos.f64 y)))))
	28.0b	(+.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (.f64 (+.f64 (.f64 1/256 (sin.f64 y)) (sin.f64 y)) x))) (+.f64 (.f64 3/2 (-.f64 (sqrt.f64 5) 1)) (+.f64 3 (.f64 (cos.f64 y) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5))))))) (+.f64 (.f64 -1/16 (/.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2))) (+.f64 (.f64 3/2 (-.f64 (sqrt.f64 5) 1)) (+.f64 3 (.f64 (cos.f64 y) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5)))))))) (.f64 2 (/.f64 1 (+.f64 (expm1.f64 (log1p.f64 (fma.f64 3/2 (sqrt.f64 5) -3/2))) (+.f64 3 (.f64 (cos.f64 y) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5))))))))))
✓	24.9b	(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) 1))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
	24.9b	(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (sin.f64 x)) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) 1))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
	25.1b	(/.f64 (+.f64 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 (pow.f64 (cbrt.f64 (.f64 (.f64 (+.f64 (sqrt.f64 5) -1) (cos.f64 x)) 1/2)) 3)) (*.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
	24.0b	(/.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)))))
	24.9b	(/.f64 (+.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) 1) (.f64 (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x)) (+.f64 (.f64 -1/16 (sin.f64 x)) (sin.f64 y))))) 2) (+.f64 3 (+.f64 (.f64 (cos.f64 y) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5)))) (.f64 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))) (log1p.f64 (expm1.f64 (-.f64 (cos.f64 x) (cos.f64 y)))))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
	0.4b	(/.f64 (+.f64 (.f64 (sqrt.f64 2) (.f64 (cbrt.f64 (pow.f64 (-.f64 (cos.f64 x) (cos.f64 y)) 3)) (.f64 (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x)) (+.f64 (.f64 -1/16 (sin.f64 x)) (sin.f64 y))))) 2) (+.f64 3 (+.f64 (.f64 (cos.f64 y) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5)))) (.f64 3/2 (*.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))))))
	23.5b	(/.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)))))
	39.3b	(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (sqrt.f64 (pow.f64 (+.f64 (cos.f64 x) -1) 2)))))) (-.f64 (+.f64 15/2 (.f64 3/2 (-.f64 (sqrt.f64 5) 1))) (*.f64 3/2 (sqrt.f64 5))))
✓	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)))))
	1.5b	(.f64 (/.f64 (sqrt.f64 (fma.f64 (sqrt.f64 2) (.f64 (fma.f64 -1/16 (sin.f64 x) (sin.f64 y)) (.f64 (fma.f64 (sin.f64 y) -1/16 (sin.f64 x)) (-.f64 (cos.f64 x) (cos.f64 y)))) 2)) (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 x) (.f64 (+.f64 (sqrt.f64 5) -1) 3/2) (fma.f64 (cos.f64 y) (-.f64 9/2 (sqrt.f64 45/4)) 3))) 2)) (/.f64 (sqrt.f64 (fma.f64 (sqrt.f64 2) (.f64 (fma.f64 -1/16 (sin.f64 x) (sin.f64 y)) (.f64 (fma.f64 (sin.f64 y) -1/16 (sin.f64 x)) (-.f64 (cos.f64 x) (cos.f64 y)))) 2)) (cbrt.f64 (fma.f64 (cos.f64 x) (*.f64 (+.f64 (sqrt.f64 5) -1) 3/2) (fma.f64 (cos.f64 y) (-.f64 9/2 (sqrt.f64 45/4)) 3)))))
✓	37.9b	(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (sqrt.f64 (pow.f64 (+.f64 (cos.f64 x) -1) 2)))))) (-.f64 (+.f64 15/2 (.f64 3/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))) (.f64 3/2 (sqrt.f64 5))))
	26.5b	(/.f64 (+.f64 (.f64 (.f64 (sqrt.f64 2) (-.f64 1 (cos.f64 y))) (+.f64 (.f64 -1/16 (pow.f64 (sin.f64 y) 2)) (.f64 (sin.f64 y) (.f64 x 257/256)))) 2) (+.f64 3 (+.f64 (.f64 (cos.f64 y) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5)))) (.f64 3/2 (*.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))))))
	26.6b	(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (cbrt.f64 (-.f64 (+.f64 1 (pow.f64 (.f64 (+.f64 (sqrt.f64 45/4) -3/2) (cos.f64 x)) 3)) 1))) (*.f64 3/2 (sqrt.f64 5))))
	44.0b	(+.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (.f64 1/2 (.f64 y y)) (.f64 (+.f64 (.f64 1/256 (sin.f64 y)) (sin.f64 y)) x))) (+.f64 (.f64 3/2 (-.f64 (sqrt.f64 5) 1)) (+.f64 3 (.f64 (cos.f64 y) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5))))))) (+.f64 (.f64 -1/16 (/.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2))) (+.f64 (.f64 3/2 (-.f64 (sqrt.f64 5) 1)) (+.f64 3 (.f64 (cos.f64 y) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5)))))))) (.f64 2 (/.f64 1 (+.f64 (.f64 3/2 (-.f64 (sqrt.f64 5) 1)) (+.f64 3 (.f64 (cos.f64 y) (-.f64 9/2 (*.f64 3/2 (sqrt.f64 5))))))))))
	31.4b	(/.f64 (+.f64 (.f64 (sqrt.f64 2) (.f64 (.f64 (.f64 (sin.f64 (.f64 (-.f64 x y) 1/2)) (sin.f64 (.f64 (+.f64 x y) 1/2))) -2) (.f64 (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x)) (+.f64 (.f64 -1/16 (sin.f64 x)) (sin.f64 y))))) 2) (+.f64 3 (+.f64 (.f64 (cos.f64 y) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5)))) (.f64 (+.f64 (sqrt.f64 5) -1) (+.f64 3/2 (.f64 -3/4 (.f64 x x)))))))
	62.1b	(.f64 (.f64 (sqrt.f64 2) (.f64 x x)) (+.f64 (.f64 (cos.f64 x) -1/96) 1/96))
	26.5b	(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (+.f64 x x)))) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (.f64 3/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))) (*.f64 3/2 (sqrt.f64 5))))
	39.3b	(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (-.f64 (sqrt.f64 45/4) 3/2)) (.f64 3/2 (sqrt.f64 5))))
	27.9b	(+.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (.f64 (+.f64 (.f64 1/256 (sin.f64 y)) (sin.f64 y)) x))) (+.f64 (.f64 3/2 (-.f64 (sqrt.f64 5) 1)) (+.f64 3 (.f64 (cos.f64 y) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5))))))) (+.f64 (.f64 -1/16 (/.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2))) (+.f64 (.f64 3/2 (-.f64 (sqrt.f64 5) 1)) (+.f64 3 (.f64 (cos.f64 y) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5)))))))) (.f64 2 (/.f64 1 (+.f64 (/.f64 6 (+.f64 1 (sqrt.f64 5))) (+.f64 3 (.f64 (cos.f64 y) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5))))))))))
	32.3b	(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (sqrt.f64 (pow.f64 (.f64 (+.f64 (sqrt.f64 45/4) -3/2) (cos.f64 x)) 2))) (*.f64 3/2 (sqrt.f64 5))))
	0.4b	(.f64 (fma.f64 (sqrt.f64 2) (.f64 (fma.f64 -1/16 (sin.f64 x) (sin.f64 y)) (.f64 (fma.f64 (sin.f64 y) -1/16 (sin.f64 x)) (-.f64 (cos.f64 x) (cos.f64 y)))) 2) (/.f64 1 (fma.f64 (cos.f64 x) (.f64 (+.f64 (sqrt.f64 5) -1) 3/2) (fma.f64 (cos.f64 y) (-.f64 9/2 (sqrt.f64 45/4)) 3))))
	45.9b	(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (.f64 x x) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (.f64 (+.f64 (sqrt.f64 5) -1) (+.f64 3/2 (.f64 -3/4 (.f64 x x))))) (.f64 3/2 (sqrt.f64 5))))
	0.4b	(/.f64 (+.f64 2 (.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x))) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))))))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
	23.5b	(/.f64 (+.f64 (.f64 -1/16 (.f64 (-.f64 1 (cos.f64 y)) (.f64 (sqrt.f64 2) (pow.f64 (sin.f64 y) 2)))) 2) (+.f64 3 (+.f64 (.f64 (cos.f64 y) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5)))) (.f64 3/2 (*.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))))))
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	30.9b	(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 -1/16 (sin.f64 y)) 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)))))
	23.4b	(/.f64 (+.f64 2 (.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 (sqrt.f64 2) (+.f64 (sin.f64 x) (.f64 (sin.f64 y) -1/16)))) 3) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 1 (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (*.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
	26.5b	(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (/.f64 (.f64 (cos.f64 x) 9) (+.f64 (sqrt.f64 45/4) 3/2))) (*.f64 3/2 (sqrt.f64 5))))
	23.4b	(/.f64 (+.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (.f64 (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x)) (+.f64 (.f64 -1/16 (sin.f64 x)) (sin.f64 y))))) 2) (+.f64 3 (+.f64 (.f64 (cos.f64 y) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5)))) (.f64 3/2 (*.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))))))
	24.9b	(/.f64 (+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1)))) 2) (+.f64 3 (+.f64 (.f64 (cos.f64 y) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5)))) (.f64 3/2 (*.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))))))
	25.2b	(/.f64 (+.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x)) (+.f64 (.f64 -1/16 (sin.f64 x)) (sin.f64 y))))) 2) (+.f64 3 (+.f64 (.f64 (cos.f64 y) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5)))) (.f64 3/2 (-.f64 (sqrt.f64 5) 1)))))
✓	23.4b	(/.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 1 (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
	0.6b	(cbrt.f64 (/.f64 (pow.f64 (fma.f64 (sqrt.f64 2) (.f64 (fma.f64 -1/16 (sin.f64 x) (sin.f64 y)) (.f64 (fma.f64 (sin.f64 y) -1/16 (sin.f64 x)) (-.f64 (cos.f64 x) (cos.f64 y)))) 2) 3) (pow.f64 (fma.f64 (cos.f64 x) (*.f64 (+.f64 (sqrt.f64 5) -1) 3/2) (fma.f64 (cos.f64 y) (-.f64 9/2 (sqrt.f64 45/4)) 3)) 3)))
	0.4b	(/.f64 (fma.f64 (sqrt.f64 2) (.f64 (+.f64 (sin.f64 y) (.f64 -1/16 (sin.f64 x))) (.f64 (+.f64 (sin.f64 x) (.f64 -1/16 (sin.f64 y))) (-.f64 (cos.f64 x) (cos.f64 y)))) 2) (fma.f64 (cos.f64 x) (pow.f64 (cbrt.f64 (*.f64 (+.f64 (sqrt.f64 5) -1) 3/2)) 3) (fma.f64 (cos.f64 y) (-.f64 9/2 (/.f64 (sqrt.f64 5) 2/3)) 3)))
	43.7b	(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (exp.f64 (.f64 (.f64 2 (log.f64 (cbrt.f64 (sin.f64 x)))) 3)) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (.f64 3/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))) (.f64 3/2 (sqrt.f64 5))))
	24.9b	(/.f64 (+.f64 2 (.f64 (+.f64 1/16 (.f64 (cos.f64 x) -1/16)) (.f64 (sqrt.f64 2) (pow.f64 (sin.f64 x) 2)))) (.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 4154 to 3358 computations (19.2% saved)

regimes535.0ms (1.4%)

Counts

120 → 1

Calls

Call 1

Inputs
1/3
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (.f64 x x) (.f64 -1/2 (.f64 x x)))))) 6)
(+.f64 (.f64 1/192 (.f64 (sqrt.f64 2) (pow.f64 x 4))) 1/3)
(.f64 (.f64 (sqrt.f64 2) (.f64 x x)) (+.f64 (.f64 (cos.f64 x) -1/96) 1/96))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (.f64 x x) (-.f64 (cos.f64 x) 1))))) 6)
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (.f64 x x) (.f64 -1/2 (.f64 x x)))))) (-.f64 (+.f64 15/2 (.f64 3/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))) (*.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (.f64 x x) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (.f64 (+.f64 (sqrt.f64 5) -1) (+.f64 3/2 (.f64 -3/4 (.f64 x x))))) (.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (.f64 x x) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (.f64 3/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))) (*.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (-.f64 (sqrt.f64 45/4) 3/2)) (.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (.f64 3/2 (-.f64 (sqrt.f64 5) 1))) (*.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (.f64 -1/2 (.f64 x x)))))) (-.f64 (+.f64 15/2 (.f64 3/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))) (.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (.f64 (+.f64 (sqrt.f64 5) -1) (+.f64 3/2 (.f64 -3/4 (.f64 x x))))) (*.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (+.f64 x x)))) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (.f64 3/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))) (*.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (.f64 (+.f64 (sqrt.f64 45/4) -3/2) (cos.f64 x))) (*.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (/.f64 (.f64 (cos.f64 x) 9) (+.f64 (sqrt.f64 45/4) 3/2))) (*.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (.f64 3/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))) (.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (-.f64 (+.f64 1 (.f64 (+.f64 (sqrt.f64 45/4) -3/2) (cos.f64 x))) 1)) (*.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (.f64 3/2 (/.f64 (.f64 (cos.f64 x) 4) (+.f64 1 (sqrt.f64 5))))) (.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2))))) (+.f64 (.f64 3/2 (-.f64 (sqrt.f64 5) 1)) (+.f64 3 (.f64 (cos.f64 y) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5)))))))
(/.f64 (+.f64 (.f64 -1/16 (.f64 (-.f64 1 (cos.f64 y)) (.f64 (sqrt.f64 2) (pow.f64 (sin.f64 y) 2)))) 2) (+.f64 3 (+.f64 (.f64 (cos.f64 y) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5)))) (.f64 (+.f64 (sqrt.f64 5) -1) (+.f64 3/2 (.f64 -3/4 (.f64 x x)))))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (sqrt.f64 (pow.f64 (+.f64 (cos.f64 x) -1) 2)))))) (-.f64 (+.f64 15/2 (.f64 3/2 (-.f64 (sqrt.f64 5) 1))) (*.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (pow.f64 (.f64 (+.f64 (sqrt.f64 45/4) -3/2) (cos.f64 x)) 1)) (*.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (.f64 3/2 (+.f64 (.f64 (sqrt.f64 5) (cos.f64 x)) (.f64 -1 (cos.f64 x))))) (*.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 (.f64 -1/16 (.f64 (-.f64 1 (cos.f64 y)) (.f64 (sqrt.f64 2) (pow.f64 (sin.f64 y) 2)))) 2) (+.f64 3 (+.f64 (.f64 (cos.f64 y) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5)))) (.f64 3/2 (*.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))))))
(/.f64 (+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1)))) 2) (+.f64 3 (+.f64 (.f64 (cos.f64 y) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5)))) (.f64 3/2 (*.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))))))
(/.f64 (+.f64 2 (.f64 (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2)) (.f64 -1/16 (sqrt.f64 2)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (sqrt.f64 2) (.f64 (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2)) -1/16))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2))))) (.f64 3 (+.f64 (+.f64 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 (cos.f64 x) -1/16)) (.f64 (sqrt.f64 2) (pow.f64 (sin.f64 x) 2)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 (.f64 (.f64 (sqrt.f64 2) (-.f64 1 (cos.f64 y))) (+.f64 (.f64 -1/16 (pow.f64 (sin.f64 y) 2)) (.f64 (sin.f64 y) (.f64 x 257/256)))) 2) (+.f64 3 (+.f64 (.f64 (cos.f64 y) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5)))) (.f64 (+.f64 (sqrt.f64 5) -1) (+.f64 3/2 (.f64 -3/4 (.f64 x x)))))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (fma.f64 (sqrt.f64 45/4) (cos.f64 x) (.f64 -3/2 (cos.f64 x)))) (*.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (pow.f64 (sqrt.f64 (.f64 (+.f64 (sqrt.f64 45/4) -3/2) (cos.f64 x))) 2)) (*.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (sqrt.f64 (pow.f64 (.f64 (+.f64 (sqrt.f64 45/4) -3/2) (cos.f64 x)) 2))) (*.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (cbrt.f64 (pow.f64 (.f64 (+.f64 (sqrt.f64 45/4) -3/2) (cos.f64 x)) 3))) (*.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (sqrt.f64 (pow.f64 (+.f64 (cos.f64 x) -1) 2)))))) (-.f64 (+.f64 15/2 (.f64 3/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))) (.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 (cos.f64 x) -1)) 3))))) (-.f64 (+.f64 15/2 (.f64 3/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))) (.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (cbrt.f64 (-.f64 (+.f64 1 (pow.f64 (.f64 (+.f64 (sqrt.f64 45/4) -3/2) (cos.f64 x)) 3)) 1))) (*.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (exp.f64 (.f64 (.f64 2 (log.f64 (cbrt.f64 (sin.f64 x)))) 3)) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (.f64 3/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))) (.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (sin.f64 x)) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 1 (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (sin.f64 x)) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) 1))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 (.f64 (.f64 (sqrt.f64 2) (-.f64 1 (cos.f64 y))) (+.f64 (.f64 -1/16 (pow.f64 (sin.f64 y) 2)) (.f64 (sin.f64 y) (.f64 x 257/256)))) 2) (+.f64 3 (+.f64 (.f64 (cos.f64 y) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5)))) (.f64 3/2 (*.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))))))
(/.f64 (+.f64 2 (.f64 (.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 (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 1/2 (-.f64 (sqrt.f64 5) 1))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (-.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 1/2 (-.f64 (sqrt.f64 5) 1))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) (sin.f64 y))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) 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 (cos.f64 y)) (sqrt.f64 2)) (+.f64 (.f64 -1/16 (pow.f64 (sin.f64 y) 2)) (.f64 257/256 (.f64 x (sin.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 (.f64 -1/16 (sin.f64 y)) 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 1 (cos.f64 y)) (.f64 (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x)) (+.f64 (.f64 -1/16 (sin.f64 x)) (sin.f64 y))))) 2) (+.f64 3 (+.f64 (.f64 (cos.f64 y) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5)))) (.f64 (+.f64 (sqrt.f64 5) -1) (+.f64 3/2 (.f64 -3/4 (.f64 x x)))))))
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(/.f64 (+.f64 2 (-.f64 (exp.f64 (log1p.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (sqrt.f64 2))) 3) (.f64 (+.f64 (sin.f64 x) (.f64 (sin.f64 y) -1/16)) (+.f64 (sin.f64 y) (.f64 (sin.f64 x) -1/16)))))) 1)) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 (.f64 (sqrt.f64 2) (.f64 (/.f64 (-.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 y) 2)) (+.f64 (cos.f64 x) (cos.f64 y))) (.f64 (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x)) (+.f64 (.f64 -1/16 (sin.f64 x)) (sin.f64 y))))) 2) (+.f64 3 (+.f64 (.f64 (cos.f64 y) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5)))) (.f64 3/2 (*.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))))))
(/.f64 (+.f64 2 (/.f64 (.f64 (-.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 y) 2)) (.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)))))
(.f64 (fma.f64 (sqrt.f64 2) (.f64 (fma.f64 -1/16 (sin.f64 x) (sin.f64 y)) (.f64 (fma.f64 (sin.f64 y) -1/16 (sin.f64 x)) (-.f64 (cos.f64 x) (cos.f64 y)))) 2) (/.f64 1 (fma.f64 (cos.f64 x) (.f64 (+.f64 (sqrt.f64 5) -1) 3/2) (fma.f64 (cos.f64 y) (-.f64 9/2 (sqrt.f64 45/4)) 3))))
(/.f64 (fma.f64 (sqrt.f64 2) (.f64 (+.f64 (sin.f64 y) (.f64 -1/16 (sin.f64 x))) (.f64 (+.f64 (sin.f64 x) (.f64 -1/16 (sin.f64 y))) (log1p.f64 (expm1.f64 (-.f64 (cos.f64 x) (cos.f64 y)))))) 2) (fma.f64 (cos.f64 x) (/.f64 (+.f64 (sqrt.f64 5) -1) 2/3) (fma.f64 (cos.f64 y) (-.f64 9/2 (/.f64 (sqrt.f64 5) 2/3)) 3)))
(/.f64 (fma.f64 (sqrt.f64 2) (.f64 (+.f64 (sin.f64 y) (.f64 -1/16 (sin.f64 x))) (.f64 (+.f64 (sin.f64 x) (.f64 -1/16 (sin.f64 y))) (-.f64 (cos.f64 x) (cos.f64 y)))) 2) (fma.f64 (cos.f64 x) (pow.f64 (cbrt.f64 (*.f64 (+.f64 (sqrt.f64 5) -1) 3/2)) 3) (fma.f64 (cos.f64 y) (-.f64 9/2 (/.f64 (sqrt.f64 5) 2/3)) 3)))
(/.f64 (+.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x)) (+.f64 (.f64 -1/16 (sin.f64 x)) (sin.f64 y))))) 2) (+.f64 3 (+.f64 (.f64 (cos.f64 y) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5)))) (fma.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 5) -1)) 2) (.f64 (cbrt.f64 (+.f64 (sqrt.f64 5) -1)) 3/2) (.f64 (.f64 -3/4 x) (*.f64 x (+.f64 (sqrt.f64 5) -1)))))))
(+.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (.f64 1/2 (.f64 y y)) (.f64 (+.f64 (.f64 1/256 (sin.f64 y)) (sin.f64 y)) x))) (+.f64 (.f64 3/2 (-.f64 (sqrt.f64 5) 1)) (+.f64 3 (.f64 (cos.f64 y) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5))))))) (+.f64 (.f64 -1/16 (/.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2))) (+.f64 (.f64 3/2 (-.f64 (sqrt.f64 5) 1)) (+.f64 3 (.f64 (cos.f64 y) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5)))))))) (.f64 2 (/.f64 1 (+.f64 (.f64 3/2 (-.f64 (sqrt.f64 5) 1)) (+.f64 3 (.f64 (cos.f64 y) (-.f64 9/2 (*.f64 3/2 (sqrt.f64 5))))))))))
(pow.f64 (/.f64 (fma.f64 (cos.f64 x) (.f64 (+.f64 (sqrt.f64 5) -1) 3/2) (fma.f64 (cos.f64 y) (-.f64 9/2 (sqrt.f64 45/4)) 3)) (fma.f64 (sqrt.f64 2) (.f64 (fma.f64 -1/16 (sin.f64 x) (sin.f64 y)) (*.f64 (fma.f64 (sin.f64 y) -1/16 (sin.f64 x)) (-.f64 (cos.f64 x) (cos.f64 y)))) 2)) -1)
(+.f64 (.f64 2 (/.f64 1 (-.f64 (+.f64 15/2 (.f64 3/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))) (.f64 3/2 (sqrt.f64 5))))) (+.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 y (.f64 (-.f64 (cos.f64 x) 1) (+.f64 (.f64 1/256 (sin.f64 x)) (sin.f64 x))))) (-.f64 (+.f64 15/2 (.f64 3/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))) (.f64 3/2 (sqrt.f64 5)))) (.f64 -1/16 (/.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))) (-.f64 (+.f64 15/2 (.f64 3/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))) (*.f64 3/2 (sqrt.f64 5)))))))
(+.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (.f64 (+.f64 (.f64 1/256 (sin.f64 y)) (sin.f64 y)) x))) (+.f64 (.f64 3/2 (-.f64 (sqrt.f64 5) 1)) (+.f64 3 (.f64 (cos.f64 y) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5))))))) (+.f64 (.f64 -1/16 (/.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2))) (+.f64 (.f64 3/2 (-.f64 (sqrt.f64 5) 1)) (+.f64 3 (.f64 (cos.f64 y) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5)))))))) (.f64 2 (/.f64 1 (+.f64 (.f64 3/2 (-.f64 (sqrt.f64 5) 1)) (+.f64 3 (.f64 (cos.f64 y) (+.f64 9/2 (neg.f64 (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 (cos.f64 y) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5))))))) (+.f64 (.f64 -1/16 (/.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2))) (+.f64 (.f64 3/2 (-.f64 (sqrt.f64 5) 1)) (+.f64 3 (.f64 (cos.f64 y) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5)))))))) (.f64 2 (/.f64 1 (+.f64 (/.f64 6 (+.f64 1 (sqrt.f64 5))) (+.f64 3 (.f64 (cos.f64 y) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5))))))))))
(+.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (.f64 (+.f64 (.f64 1/256 (sin.f64 y)) (sin.f64 y)) x))) (+.f64 (.f64 3/2 (-.f64 (sqrt.f64 5) 1)) (+.f64 3 (.f64 (cos.f64 y) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5))))))) (+.f64 (.f64 -1/16 (/.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2))) (+.f64 (.f64 3/2 (-.f64 (sqrt.f64 5) 1)) (+.f64 3 (.f64 (cos.f64 y) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5)))))))) (.f64 2 (/.f64 1 (+.f64 (.f64 3/2 (-.f64 (sqrt.f64 5) 1)) (+.f64 3 (.f64 (cos.f64 y) (-.f64 9/2 (*.f64 3/2 (sqrt.f64 5))))))))))
(log.f64 (exp.f64 (/.f64 (fma.f64 (sqrt.f64 2) (.f64 (fma.f64 -1/16 (sin.f64 x) (sin.f64 y)) (.f64 (fma.f64 (sin.f64 y) -1/16 (sin.f64 x)) (-.f64 (cos.f64 x) (cos.f64 y)))) 2) (fma.f64 (cos.f64 x) (*.f64 (+.f64 (sqrt.f64 5) -1) 3/2) (fma.f64 (cos.f64 y) (-.f64 9/2 (sqrt.f64 45/4)) 3)))))
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 (sqrt.f64 2) (.f64 (fma.f64 -1/16 (sin.f64 x) (sin.f64 y)) (.f64 (fma.f64 (sin.f64 y) -1/16 (sin.f64 x)) (-.f64 (cos.f64 x) (cos.f64 y)))) 2) (fma.f64 (cos.f64 x) (*.f64 (+.f64 (sqrt.f64 5) -1) 3/2) (fma.f64 (cos.f64 y) (-.f64 9/2 (sqrt.f64 45/4)) 3)))))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 (sqrt.f64 2) (.f64 (fma.f64 -1/16 (sin.f64 x) (sin.f64 y)) (.f64 (fma.f64 (sin.f64 y) -1/16 (sin.f64 x)) (-.f64 (cos.f64 x) (cos.f64 y)))) 2) (fma.f64 (cos.f64 x) (*.f64 (+.f64 (sqrt.f64 5) -1) 3/2) (fma.f64 (cos.f64 y) (-.f64 9/2 (sqrt.f64 45/4)) 3)))))
(pow.f64 (sqrt.f64 (/.f64 (fma.f64 (sqrt.f64 2) (.f64 (fma.f64 -1/16 (sin.f64 x) (sin.f64 y)) (.f64 (fma.f64 (sin.f64 y) -1/16 (sin.f64 x)) (-.f64 (cos.f64 x) (cos.f64 y)))) 2) (fma.f64 (cos.f64 x) (*.f64 (+.f64 (sqrt.f64 5) -1) 3/2) (fma.f64 (cos.f64 y) (-.f64 9/2 (sqrt.f64 45/4)) 3)))) 2)
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 (sqrt.f64 2) (.f64 (fma.f64 -1/16 (sin.f64 x) (sin.f64 y)) (.f64 (fma.f64 (sin.f64 y) -1/16 (sin.f64 x)) (-.f64 (cos.f64 x) (cos.f64 y)))) 2) (fma.f64 (cos.f64 x) (*.f64 (+.f64 (sqrt.f64 5) -1) 3/2) (fma.f64 (cos.f64 y) (-.f64 9/2 (sqrt.f64 45/4)) 3)))) 3)
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 (sqrt.f64 2) (.f64 (fma.f64 -1/16 (sin.f64 x) (sin.f64 y)) (.f64 (fma.f64 (sin.f64 y) -1/16 (sin.f64 x)) (-.f64 (cos.f64 x) (cos.f64 y)))) 2) (fma.f64 (cos.f64 x) (*.f64 (+.f64 (sqrt.f64 5) -1) 3/2) (fma.f64 (cos.f64 y) (-.f64 9/2 (sqrt.f64 45/4)) 3))) 3))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 (sqrt.f64 2) (.f64 (fma.f64 -1/16 (sin.f64 x) (sin.f64 y)) (.f64 (fma.f64 (sin.f64 y) -1/16 (sin.f64 x)) (-.f64 (cos.f64 x) (cos.f64 y)))) 2) (fma.f64 (cos.f64 x) (*.f64 (+.f64 (sqrt.f64 5) -1) 3/2) (fma.f64 (cos.f64 y) (-.f64 9/2 (sqrt.f64 45/4)) 3))))) 1)
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 (sqrt.f64 2) (.f64 (fma.f64 -1/16 (sin.f64 x) (sin.f64 y)) (.f64 (fma.f64 (sin.f64 y) -1/16 (sin.f64 x)) (-.f64 (cos.f64 x) (cos.f64 y)))) 2) 3) (pow.f64 (fma.f64 (cos.f64 x) (*.f64 (+.f64 (sqrt.f64 5) -1) 3/2) (fma.f64 (cos.f64 y) (-.f64 9/2 (sqrt.f64 45/4)) 3)) 3)))
(+.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (.f64 (+.f64 (.f64 1/256 (sin.f64 y)) (sin.f64 y)) x))) (+.f64 (.f64 3/2 (-.f64 (sqrt.f64 5) 1)) (+.f64 3 (.f64 (cos.f64 y) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5))))))) (+.f64 (.f64 -1/16 (/.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2))) (+.f64 (.f64 3/2 (-.f64 (sqrt.f64 5) 1)) (+.f64 3 (.f64 (cos.f64 y) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5)))))))) (.f64 2 (/.f64 1 (+.f64 (expm1.f64 (log1p.f64 (fma.f64 3/2 (sqrt.f64 5) -3/2))) (+.f64 3 (.f64 (cos.f64 y) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5))))))))))
(.f64 (/.f64 1 (sqrt.f64 (fma.f64 (cos.f64 x) (.f64 (+.f64 (sqrt.f64 5) -1) 3/2) (fma.f64 (cos.f64 y) (-.f64 9/2 (sqrt.f64 45/4)) 3)))) (/.f64 (fma.f64 (sqrt.f64 2) (.f64 (fma.f64 -1/16 (sin.f64 x) (sin.f64 y)) (.f64 (fma.f64 (sin.f64 y) -1/16 (sin.f64 x)) (-.f64 (cos.f64 x) (cos.f64 y)))) 2) (sqrt.f64 (fma.f64 (cos.f64 x) (*.f64 (+.f64 (sqrt.f64 5) -1) 3/2) (fma.f64 (cos.f64 y) (-.f64 9/2 (sqrt.f64 45/4)) 3)))))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 x) (.f64 (+.f64 (sqrt.f64 5) -1) 3/2) (fma.f64 (cos.f64 y) (-.f64 9/2 (sqrt.f64 45/4)) 3))) 2)) (/.f64 (fma.f64 (sqrt.f64 2) (.f64 (fma.f64 -1/16 (sin.f64 x) (sin.f64 y)) (.f64 (fma.f64 (sin.f64 y) -1/16 (sin.f64 x)) (-.f64 (cos.f64 x) (cos.f64 y)))) 2) (cbrt.f64 (fma.f64 (cos.f64 x) (*.f64 (+.f64 (sqrt.f64 5) -1) 3/2) (fma.f64 (cos.f64 y) (-.f64 9/2 (sqrt.f64 45/4)) 3)))))
(.f64 (/.f64 (sqrt.f64 (fma.f64 (sqrt.f64 2) (.f64 (fma.f64 -1/16 (sin.f64 x) (sin.f64 y)) (.f64 (fma.f64 (sin.f64 y) -1/16 (sin.f64 x)) (-.f64 (cos.f64 x) (cos.f64 y)))) 2)) (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 x) (.f64 (+.f64 (sqrt.f64 5) -1) 3/2) (fma.f64 (cos.f64 y) (-.f64 9/2 (sqrt.f64 45/4)) 3))) 2)) (/.f64 (sqrt.f64 (fma.f64 (sqrt.f64 2) (.f64 (fma.f64 -1/16 (sin.f64 x) (sin.f64 y)) (.f64 (fma.f64 (sin.f64 y) -1/16 (sin.f64 x)) (-.f64 (cos.f64 x) (cos.f64 y)))) 2)) (cbrt.f64 (fma.f64 (cos.f64 x) (*.f64 (+.f64 (sqrt.f64 5) -1) 3/2) (fma.f64 (cos.f64 y) (-.f64 9/2 (sqrt.f64 45/4)) 3)))))

Outputs

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

Calls

4 calls:

104.0ms	y
87.0ms	(/.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)))))
81.0ms	x
57.0ms	(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))

Results

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

Compiler

Compiled 5698 to 4107 computations (27.9% saved)

regimes386.0ms (1%)

Counts

93 → 1

Calls

Call 1

Inputs
1/3
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (.f64 x x) (.f64 -1/2 (.f64 x x)))))) 6)
(+.f64 (.f64 1/192 (.f64 (sqrt.f64 2) (pow.f64 x 4))) 1/3)
(.f64 (.f64 (sqrt.f64 2) (.f64 x x)) (+.f64 (.f64 (cos.f64 x) -1/96) 1/96))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (.f64 x x) (-.f64 (cos.f64 x) 1))))) 6)
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (.f64 x x) (.f64 -1/2 (.f64 x x)))))) (-.f64 (+.f64 15/2 (.f64 3/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))) (*.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (.f64 x x) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (.f64 (+.f64 (sqrt.f64 5) -1) (+.f64 3/2 (.f64 -3/4 (.f64 x x))))) (.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (.f64 x x) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (.f64 3/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))) (*.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (-.f64 (sqrt.f64 45/4) 3/2)) (.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (.f64 3/2 (-.f64 (sqrt.f64 5) 1))) (*.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (.f64 -1/2 (.f64 x x)))))) (-.f64 (+.f64 15/2 (.f64 3/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))) (.f64 3/2 (sqrt.f64 5))))
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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))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x)) (+.f64 (.f64 -1/16 (sin.f64 x)) (sin.f64 y))))) 2) (+.f64 3 (+.f64 (.f64 (cos.f64 y) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5)))) (/.f64 (.f64 (fma.f64 -3/4 (*.f64 x x) 3/2) 4) (+.f64 (sqrt.f64 5) 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 4 (+.f64 3 (sqrt.f64 5))) 2) (cos.f64 y)))))
(/.f64 (+.f64 (.f64 (sqrt.f64 2) (.f64 (.f64 (.f64 (sin.f64 (.f64 (-.f64 x y) 1/2)) (sin.f64 (.f64 (+.f64 x y) 1/2))) -2) (.f64 (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x)) (+.f64 (.f64 -1/16 (sin.f64 x)) (sin.f64 y))))) 2) (+.f64 3 (+.f64 (.f64 (cos.f64 y) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5)))) (.f64 3/2 (*.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))))))
(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (.f64 (.f64 (sin.f64 (.f64 (-.f64 x y) 1/2)) (sin.f64 (.f64 (+.f64 x y) 1/2))) -2))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (fma.f64 (sqrt.f64 2) (*.f64 (pow.f64 (sin.f64 x) 2) (fma.f64 -1/16 (cos.f64 x) 1/16)) 2) (fma.f64 (sqrt.f64 5) -3/2 (fma.f64 (cos.f64 x) (fma.f64 3/2 (sqrt.f64 5) -3/2) 15/2)))
(/.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 (pow.f64 (cbrt.f64 (.f64 (.f64 (+.f64 (sqrt.f64 5) -1) (cos.f64 x)) 1/2)) 3)) (*.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 (sqrt.f64 2) (+.f64 (sin.f64 x) (.f64 (sin.f64 y) -1/16)))) 3) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 1 (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (*.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) 1))) (.f64 3 (+.f64 (+.f64 1 (pow.f64 (cbrt.f64 (.f64 (.f64 (+.f64 (sqrt.f64 5) -1) (cos.f64 x)) 1/2)) 3)) (*.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (-.f64 (exp.f64 (log1p.f64 (.f64 (.f64 (-.f64 1 (cos.f64 y)) (sqrt.f64 2)) (.f64 (+.f64 (sin.f64 x) (.f64 (sin.f64 y) -1/16)) (+.f64 (sin.f64 y) (.f64 (sin.f64 x) -1/16)))))) 1)) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.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 (log.f64 (+.f64 1 (expm1.f64 (.f64 (.f64 (+.f64 (sqrt.f64 5) -1) (cos.f64 x)) 1/2))))) (*.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (fma.f64 (sqrt.f64 2) (.f64 (+.f64 (sin.f64 y) (.f64 -1/16 (sin.f64 x))) (.f64 (+.f64 (sin.f64 x) (.f64 -1/16 (sin.f64 y))) (-.f64 (cos.f64 x) 1))) 2) (fma.f64 (cos.f64 x) (/.f64 (+.f64 (sqrt.f64 5) -1) 2/3) (fma.f64 (cos.f64 y) (-.f64 9/2 (/.f64 (sqrt.f64 5) 2/3)) 3)))
(/.f64 (+.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x)) (+.f64 (.f64 -1/16 (sin.f64 x)) (sin.f64 y))))) 2) (+.f64 3 (+.f64 (.f64 (cos.f64 y) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5)))) (pow.f64 (cbrt.f64 (.f64 (+.f64 (sqrt.f64 45/4) -3/2) (cos.f64 x))) 3))))
(/.f64 (+.f64 (.f64 (sqrt.f64 2) (.f64 (cbrt.f64 (pow.f64 (-.f64 (cos.f64 x) (cos.f64 y)) 3)) (.f64 (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x)) (+.f64 (.f64 -1/16 (sin.f64 x)) (sin.f64 y))))) 2) (+.f64 3 (+.f64 (.f64 (cos.f64 y) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5)))) (.f64 3/2 (*.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))))))
(/.f64 (+.f64 2 (+.f64 (+.f64 (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (.f64 (sqrt.f64 2) (fma.f64 (sin.f64 x) -1/16 (sin.f64 y))) (fma.f64 (sin.f64 y) -1/16 (sin.f64 x)))) 1) -1)) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (log1p.f64 (expm1.f64 (-.f64 (cos.f64 x) (cos.f64 y)))))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (.f64 (.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 (pow.f64 (cbrt.f64 (.f64 (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (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 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 (sqrt.f64 2) (+.f64 (sin.f64 x) (.f64 (sin.f64 y) -1/16)))) 3) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (*.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (-.f64 (exp.f64 (log1p.f64 (.f64 (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (sqrt.f64 2)) (.f64 (+.f64 (sin.f64 x) (.f64 (sin.f64 y) -1/16)) (+.f64 (sin.f64 y) (.f64 (sin.f64 x) -1/16)))))) 1)) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (fma.f64 (sqrt.f64 2) (.f64 (+.f64 (sin.f64 y) (.f64 -1/16 (sin.f64 x))) (.f64 (+.f64 (sin.f64 x) (.f64 -1/16 (sin.f64 y))) (-.f64 (cos.f64 x) (cos.f64 y)))) 2) (fma.f64 (cos.f64 x) (/.f64 (+.f64 (sqrt.f64 5) -1) 2/3) (fma.f64 (cos.f64 y) (+.f64 9/2 (neg.f64 (sqrt.f64 45/4))) 3)))
(/.f64 (fma.f64 (sqrt.f64 2) (.f64 (+.f64 (sin.f64 y) (.f64 -1/16 (sin.f64 x))) (.f64 (+.f64 (sin.f64 x) (.f64 -1/16 (sin.f64 y))) (-.f64 (cos.f64 x) (cos.f64 y)))) 2) (fma.f64 (cos.f64 x) (/.f64 (+.f64 (sqrt.f64 5) -1) 2/3) (fma.f64 (cos.f64 y) (/.f64 9 (+.f64 9/2 (sqrt.f64 45/4))) 3)))
(/.f64 (fma.f64 (sqrt.f64 2) (.f64 (+.f64 (sin.f64 y) (.f64 -1/16 (sin.f64 x))) (.f64 (+.f64 (sin.f64 x) (.f64 -1/16 (sin.f64 y))) (-.f64 (cos.f64 x) (cos.f64 y)))) 2) (fma.f64 (cos.f64 x) (/.f64 (+.f64 (sqrt.f64 5) -1) 2/3) (fma.f64 (cos.f64 y) (-.f64 9/2 (/.f64 (sqrt.f64 5) 2/3)) 3)))
(/.f64 (fma.f64 (sqrt.f64 2) (.f64 (+.f64 (sin.f64 y) (.f64 -1/16 (sin.f64 x))) (.f64 (+.f64 (sin.f64 x) (.f64 -1/16 (sin.f64 y))) (-.f64 (cos.f64 x) (cos.f64 y)))) 2) (fma.f64 (cos.f64 x) (pow.f64 (/.f64 2/3 (+.f64 (sqrt.f64 5) -1)) -1) (fma.f64 (cos.f64 y) (-.f64 9/2 (/.f64 (sqrt.f64 5) 2/3)) 3)))
(/.f64 (+.f64 2 (.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 (sqrt.f64 2) (+.f64 (sin.f64 x) (.f64 (sin.f64 y) -1/16)))) 3) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (*.f64 (/.f64 (log.f64 (exp.f64 (-.f64 3 (sqrt.f64 5)))) 2) (cos.f64 y)))))

Outputs

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

Calls

4 calls:

81.0ms	y
61.0ms	(/.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)))))
60.0ms	x
46.0ms	(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))

Results

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

Compiler

Compiled 4043 to 2953 computations (27% saved)

regimes273.0ms (0.7%)

Counts

64 → 3

Calls

Call 1

Inputs
1/3
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (.f64 x x) (.f64 -1/2 (.f64 x x)))))) 6)
(+.f64 (.f64 1/192 (.f64 (sqrt.f64 2) (pow.f64 x 4))) 1/3)
(.f64 (.f64 (sqrt.f64 2) (.f64 x x)) (+.f64 (.f64 (cos.f64 x) -1/96) 1/96))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (.f64 x x) (-.f64 (cos.f64 x) 1))))) 6)
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (.f64 x x) (.f64 -1/2 (.f64 x x)))))) (-.f64 (+.f64 15/2 (.f64 3/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))) (*.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (.f64 x x) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (.f64 (+.f64 (sqrt.f64 5) -1) (+.f64 3/2 (.f64 -3/4 (.f64 x x))))) (.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (.f64 x x) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (.f64 3/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))) (*.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (-.f64 (sqrt.f64 45/4) 3/2)) (.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (.f64 3/2 (-.f64 (sqrt.f64 5) 1))) (*.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (.f64 -1/2 (.f64 x x)))))) (-.f64 (+.f64 15/2 (.f64 3/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))) (.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (.f64 (+.f64 (sqrt.f64 5) -1) (+.f64 3/2 (.f64 -3/4 (.f64 x x))))) (*.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (+.f64 x x)))) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (.f64 3/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))) (*.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (.f64 (+.f64 (sqrt.f64 45/4) -3/2) (cos.f64 x))) (*.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (/.f64 (.f64 (cos.f64 x) 9) (+.f64 (sqrt.f64 45/4) 3/2))) (*.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (.f64 3/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))) (.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (-.f64 (+.f64 1 (.f64 (+.f64 (sqrt.f64 45/4) -3/2) (cos.f64 x))) 1)) (*.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (.f64 3/2 (/.f64 (.f64 (cos.f64 x) 4) (+.f64 1 (sqrt.f64 5))))) (.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2))))) (+.f64 (.f64 3/2 (-.f64 (sqrt.f64 5) 1)) (+.f64 3 (.f64 (cos.f64 y) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5)))))))
(/.f64 (+.f64 (.f64 -1/16 (.f64 (-.f64 1 (cos.f64 y)) (.f64 (sqrt.f64 2) (pow.f64 (sin.f64 y) 2)))) 2) (+.f64 3 (+.f64 (.f64 (cos.f64 y) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5)))) (.f64 (+.f64 (sqrt.f64 5) -1) (+.f64 3/2 (.f64 -3/4 (.f64 x x)))))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (sqrt.f64 (pow.f64 (+.f64 (cos.f64 x) -1) 2)))))) (-.f64 (+.f64 15/2 (.f64 3/2 (-.f64 (sqrt.f64 5) 1))) (*.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (pow.f64 (.f64 (+.f64 (sqrt.f64 45/4) -3/2) (cos.f64 x)) 1)) (*.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (.f64 3/2 (+.f64 (.f64 (sqrt.f64 5) (cos.f64 x)) (.f64 -1 (cos.f64 x))))) (*.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 (.f64 -1/16 (.f64 (-.f64 1 (cos.f64 y)) (.f64 (sqrt.f64 2) (pow.f64 (sin.f64 y) 2)))) 2) (+.f64 3 (+.f64 (.f64 (cos.f64 y) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5)))) (.f64 3/2 (*.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))))))
(/.f64 (+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1)))) 2) (+.f64 3 (+.f64 (.f64 (cos.f64 y) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5)))) (.f64 3/2 (*.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))))))
(/.f64 (+.f64 2 (.f64 (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2)) (.f64 -1/16 (sqrt.f64 2)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (sqrt.f64 2) (.f64 (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2)) -1/16))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2))))) (.f64 3 (+.f64 (+.f64 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 (cos.f64 x) -1/16)) (.f64 (sqrt.f64 2) (pow.f64 (sin.f64 x) 2)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 (.f64 (.f64 (sqrt.f64 2) (-.f64 1 (cos.f64 y))) (+.f64 (.f64 -1/16 (pow.f64 (sin.f64 y) 2)) (.f64 (sin.f64 y) (.f64 x 257/256)))) 2) (+.f64 3 (+.f64 (.f64 (cos.f64 y) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5)))) (.f64 (+.f64 (sqrt.f64 5) -1) (+.f64 3/2 (.f64 -3/4 (.f64 x x)))))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (fma.f64 (sqrt.f64 45/4) (cos.f64 x) (.f64 -3/2 (cos.f64 x)))) (*.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (pow.f64 (sqrt.f64 (.f64 (+.f64 (sqrt.f64 45/4) -3/2) (cos.f64 x))) 2)) (*.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (sqrt.f64 (pow.f64 (.f64 (+.f64 (sqrt.f64 45/4) -3/2) (cos.f64 x)) 2))) (*.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (cbrt.f64 (pow.f64 (.f64 (+.f64 (sqrt.f64 45/4) -3/2) (cos.f64 x)) 3))) (*.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (sqrt.f64 (pow.f64 (+.f64 (cos.f64 x) -1) 2)))))) (-.f64 (+.f64 15/2 (.f64 3/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))) (.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 (cos.f64 x) -1)) 3))))) (-.f64 (+.f64 15/2 (.f64 3/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))) (.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (cbrt.f64 (-.f64 (+.f64 1 (pow.f64 (.f64 (+.f64 (sqrt.f64 45/4) -3/2) (cos.f64 x)) 3)) 1))) (*.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (exp.f64 (.f64 (.f64 2 (log.f64 (cbrt.f64 (sin.f64 x)))) 3)) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (.f64 3/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))) (.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (sin.f64 x)) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 1 (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (sin.f64 x)) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) 1))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 (.f64 (.f64 (sqrt.f64 2) (-.f64 1 (cos.f64 y))) (+.f64 (.f64 -1/16 (pow.f64 (sin.f64 y) 2)) (.f64 (sin.f64 y) (.f64 x 257/256)))) 2) (+.f64 3 (+.f64 (.f64 (cos.f64 y) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5)))) (.f64 3/2 (*.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))))))
(/.f64 (+.f64 2 (.f64 (.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 (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 1/2 (-.f64 (sqrt.f64 5) 1))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (-.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 1/2 (-.f64 (sqrt.f64 5) 1))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) (sin.f64 y))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) 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 (cos.f64 y)) (sqrt.f64 2)) (+.f64 (.f64 -1/16 (pow.f64 (sin.f64 y) 2)) (.f64 257/256 (.f64 x (sin.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 (.f64 -1/16 (sin.f64 y)) 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 1 (cos.f64 y)) (.f64 (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x)) (+.f64 (.f64 -1/16 (sin.f64 x)) (sin.f64 y))))) 2) (+.f64 3 (+.f64 (.f64 (cos.f64 y) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5)))) (.f64 (+.f64 (sqrt.f64 5) -1) (+.f64 3/2 (.f64 -3/4 (.f64 x x)))))))
(/.f64 (+.f64 2 (.f64 (+.f64 1/16 (.f64 (cos.f64 x) -1/16)) (.f64 (sqrt.f64 2) (pow.f64 (sin.f64 x) 2)))) (.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 (.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x)) (+.f64 (.f64 -1/16 (sin.f64 x)) (sin.f64 y))))) 2) (+.f64 3 (+.f64 (.f64 (cos.f64 y) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5)))) (.f64 3/2 (-.f64 (sqrt.f64 5) 1)))))
(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (sin.f64 x)) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.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) 1) (.f64 (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x)) (+.f64 (.f64 -1/16 (sin.f64 x)) (sin.f64 y))))) 2) (+.f64 3 (+.f64 (.f64 (cos.f64 y) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5)))) (.f64 3/2 (*.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))))))
(/.f64 (+.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (.f64 (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x)) (+.f64 (.f64 -1/16 (sin.f64 x)) (sin.f64 y))))) 2) (+.f64 3 (+.f64 (.f64 (cos.f64 y) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5)))) (.f64 3/2 (*.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))))))
(/.f64 (+.f64 2 (.f64 (.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) (sin.f64 y))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (*.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 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 (cos.f64 x) (.f64 1/2 (+.f64 (sqrt.f64 5) 1)))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) 1))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (+.f64 (sin.f64 x) (.f64 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 (.f64 -1/16 (sin.f64 y)) 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 (.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 (.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x)) (+.f64 (.f64 -1/16 (sin.f64 x)) (sin.f64 y))))) 2) (+.f64 3 (+.f64 (.f64 (cos.f64 y) (+.f64 9/2 (neg.f64 (sqrt.f64 45/4)))) (.f64 (+.f64 (sqrt.f64 5) -1) (+.f64 3/2 (.f64 -3/4 (*.f64 x 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 1 (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (/.f64 4 (+.f64 3 (sqrt.f64 5))) 2) (cos.f64 y)))))
(/.f64 (+.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x)) (+.f64 (.f64 -1/16 (sin.f64 x)) (sin.f64 y))))) 2) (+.f64 3 (+.f64 (.f64 (cos.f64 y) (/.f64 9 (+.f64 9/2 (sqrt.f64 45/4)))) (.f64 (+.f64 (sqrt.f64 5) -1) (+.f64 3/2 (.f64 -3/4 (*.f64 x x)))))))
(/.f64 (+.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x)) (+.f64 (.f64 -1/16 (sin.f64 x)) (sin.f64 y))))) 2) (+.f64 3 (+.f64 (.f64 (cos.f64 y) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5)))) (.f64 (+.f64 (sqrt.f64 5) -1) (+.f64 3/2 (.f64 -3/4 (.f64 x x)))))))
(/.f64 (+.f64 (.f64 (sqrt.f64 2) (.f64 (.f64 (.f64 (sin.f64 (.f64 (-.f64 x y) 1/2)) (sin.f64 (.f64 (+.f64 x y) 1/2))) -2) (.f64 (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x)) (+.f64 (.f64 -1/16 (sin.f64 x)) (sin.f64 y))))) 2) (+.f64 3 (+.f64 (.f64 (cos.f64 y) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5)))) (.f64 (+.f64 (sqrt.f64 5) -1) (+.f64 3/2 (.f64 -3/4 (.f64 x x)))))))

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

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

Calls

2 calls:

111.0ms	y
97.0ms	x

Results

Error	Segments	Branch
11.2b	3	`x`
12.1b	3	`y`

Compiler

Compiled 2488 to 1889 computations (24.1% saved)

bsearch306.0ms (0.8%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
159.0ms	0.023423458314529057	5.99615348271337
146.0ms	-146.4844476593866	-2.1357499733153517e-9

Compiler

Compiled 57 to 44 computations (22.8% saved)

regimes427.0ms (1.1%)

Counts

61 → 3

Calls

Call 1

Inputs
1/3
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (.f64 x x) (.f64 -1/2 (.f64 x x)))))) 6)
(+.f64 (.f64 1/192 (.f64 (sqrt.f64 2) (pow.f64 x 4))) 1/3)
(.f64 (.f64 (sqrt.f64 2) (.f64 x x)) (+.f64 (.f64 (cos.f64 x) -1/96) 1/96))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (.f64 x x) (-.f64 (cos.f64 x) 1))))) 6)
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (.f64 x x) (.f64 -1/2 (.f64 x x)))))) (-.f64 (+.f64 15/2 (.f64 3/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))) (*.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (.f64 x x) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (.f64 (+.f64 (sqrt.f64 5) -1) (+.f64 3/2 (.f64 -3/4 (.f64 x x))))) (.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (.f64 x x) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (.f64 3/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))) (*.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (-.f64 (sqrt.f64 45/4) 3/2)) (.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (.f64 3/2 (-.f64 (sqrt.f64 5) 1))) (*.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (.f64 -1/2 (.f64 x x)))))) (-.f64 (+.f64 15/2 (.f64 3/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))) (.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (.f64 (+.f64 (sqrt.f64 5) -1) (+.f64 3/2 (.f64 -3/4 (.f64 x x))))) (*.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (+.f64 x x)))) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (.f64 3/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))) (*.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (.f64 (+.f64 (sqrt.f64 45/4) -3/2) (cos.f64 x))) (*.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (/.f64 (.f64 (cos.f64 x) 9) (+.f64 (sqrt.f64 45/4) 3/2))) (*.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (.f64 3/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))) (.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (-.f64 (+.f64 1 (.f64 (+.f64 (sqrt.f64 45/4) -3/2) (cos.f64 x))) 1)) (*.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (.f64 3/2 (/.f64 (.f64 (cos.f64 x) 4) (+.f64 1 (sqrt.f64 5))))) (.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2))))) (+.f64 (.f64 3/2 (-.f64 (sqrt.f64 5) 1)) (+.f64 3 (.f64 (cos.f64 y) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5)))))))
(/.f64 (+.f64 (.f64 -1/16 (.f64 (-.f64 1 (cos.f64 y)) (.f64 (sqrt.f64 2) (pow.f64 (sin.f64 y) 2)))) 2) (+.f64 3 (+.f64 (.f64 (cos.f64 y) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5)))) (.f64 (+.f64 (sqrt.f64 5) -1) (+.f64 3/2 (.f64 -3/4 (.f64 x x)))))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (sqrt.f64 (pow.f64 (+.f64 (cos.f64 x) -1) 2)))))) (-.f64 (+.f64 15/2 (.f64 3/2 (-.f64 (sqrt.f64 5) 1))) (*.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (pow.f64 (.f64 (+.f64 (sqrt.f64 45/4) -3/2) (cos.f64 x)) 1)) (*.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (.f64 3/2 (+.f64 (.f64 (sqrt.f64 5) (cos.f64 x)) (.f64 -1 (cos.f64 x))))) (*.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 (.f64 -1/16 (.f64 (-.f64 1 (cos.f64 y)) (.f64 (sqrt.f64 2) (pow.f64 (sin.f64 y) 2)))) 2) (+.f64 3 (+.f64 (.f64 (cos.f64 y) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5)))) (.f64 3/2 (*.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))))))
(/.f64 (+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1)))) 2) (+.f64 3 (+.f64 (.f64 (cos.f64 y) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5)))) (.f64 3/2 (*.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))))))
(/.f64 (+.f64 2 (.f64 (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2)) (.f64 -1/16 (sqrt.f64 2)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (sqrt.f64 2) (.f64 (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2)) -1/16))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2))))) (.f64 3 (+.f64 (+.f64 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 (cos.f64 x) -1/16)) (.f64 (sqrt.f64 2) (pow.f64 (sin.f64 x) 2)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 (.f64 (.f64 (sqrt.f64 2) (-.f64 1 (cos.f64 y))) (+.f64 (.f64 -1/16 (pow.f64 (sin.f64 y) 2)) (.f64 (sin.f64 y) (.f64 x 257/256)))) 2) (+.f64 3 (+.f64 (.f64 (cos.f64 y) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5)))) (.f64 (+.f64 (sqrt.f64 5) -1) (+.f64 3/2 (.f64 -3/4 (.f64 x x)))))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (fma.f64 (sqrt.f64 45/4) (cos.f64 x) (.f64 -3/2 (cos.f64 x)))) (*.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (pow.f64 (sqrt.f64 (.f64 (+.f64 (sqrt.f64 45/4) -3/2) (cos.f64 x))) 2)) (*.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (sqrt.f64 (pow.f64 (.f64 (+.f64 (sqrt.f64 45/4) -3/2) (cos.f64 x)) 2))) (*.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (cbrt.f64 (pow.f64 (.f64 (+.f64 (sqrt.f64 45/4) -3/2) (cos.f64 x)) 3))) (*.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (sqrt.f64 (pow.f64 (+.f64 (cos.f64 x) -1) 2)))))) (-.f64 (+.f64 15/2 (.f64 3/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))) (.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 (cos.f64 x) -1)) 3))))) (-.f64 (+.f64 15/2 (.f64 3/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))) (.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (cbrt.f64 (-.f64 (+.f64 1 (pow.f64 (.f64 (+.f64 (sqrt.f64 45/4) -3/2) (cos.f64 x)) 3)) 1))) (*.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (exp.f64 (.f64 (.f64 2 (log.f64 (cbrt.f64 (sin.f64 x)))) 3)) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (.f64 3/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))) (.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (sin.f64 x)) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 1 (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (sin.f64 x)) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) 1))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 (.f64 (.f64 (sqrt.f64 2) (-.f64 1 (cos.f64 y))) (+.f64 (.f64 -1/16 (pow.f64 (sin.f64 y) 2)) (.f64 (sin.f64 y) (.f64 x 257/256)))) 2) (+.f64 3 (+.f64 (.f64 (cos.f64 y) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5)))) (.f64 3/2 (*.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))))))
(/.f64 (+.f64 2 (.f64 (.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 (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 1/2 (-.f64 (sqrt.f64 5) 1))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (-.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 1/2 (-.f64 (sqrt.f64 5) 1))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) (sin.f64 y))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) 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 (cos.f64 y)) (sqrt.f64 2)) (+.f64 (.f64 -1/16 (pow.f64 (sin.f64 y) 2)) (.f64 257/256 (.f64 x (sin.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 (.f64 -1/16 (sin.f64 y)) 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 1 (cos.f64 y)) (.f64 (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x)) (+.f64 (.f64 -1/16 (sin.f64 x)) (sin.f64 y))))) 2) (+.f64 3 (+.f64 (.f64 (cos.f64 y) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5)))) (.f64 (+.f64 (sqrt.f64 5) -1) (+.f64 3/2 (.f64 -3/4 (.f64 x x)))))))
(/.f64 (+.f64 2 (.f64 (+.f64 1/16 (.f64 (cos.f64 x) -1/16)) (.f64 (sqrt.f64 2) (pow.f64 (sin.f64 x) 2)))) (.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 (.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x)) (+.f64 (.f64 -1/16 (sin.f64 x)) (sin.f64 y))))) 2) (+.f64 3 (+.f64 (.f64 (cos.f64 y) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5)))) (.f64 3/2 (-.f64 (sqrt.f64 5) 1)))))
(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (sin.f64 x)) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.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) 1) (.f64 (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x)) (+.f64 (.f64 -1/16 (sin.f64 x)) (sin.f64 y))))) 2) (+.f64 3 (+.f64 (.f64 (cos.f64 y) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5)))) (.f64 3/2 (*.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))))))
(/.f64 (+.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (.f64 (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x)) (+.f64 (.f64 -1/16 (sin.f64 x)) (sin.f64 y))))) 2) (+.f64 3 (+.f64 (.f64 (cos.f64 y) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5)))) (.f64 3/2 (*.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))))))
(/.f64 (+.f64 2 (.f64 (.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) (sin.f64 y))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (*.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 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 (cos.f64 x) (.f64 1/2 (+.f64 (sqrt.f64 5) 1)))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) 1))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (+.f64 (sin.f64 x) (.f64 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 (.f64 -1/16 (sin.f64 y)) 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 (.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 (.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x)) (+.f64 (.f64 -1/16 (sin.f64 x)) (sin.f64 y))))) 2) (+.f64 3 (+.f64 (.f64 (cos.f64 y) (+.f64 9/2 (neg.f64 (sqrt.f64 45/4)))) (.f64 (+.f64 (sqrt.f64 5) -1) (+.f64 3/2 (.f64 -3/4 (*.f64 x 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 1 (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (/.f64 4 (+.f64 3 (sqrt.f64 5))) 2) (cos.f64 y)))))

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

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

Calls

2 calls:

188.0ms	x
144.0ms	y

Results

Error	Segments	Branch
11.2b	3	`x`
12.1b	3	`y`

Compiler

Compiled 2325 to 1779 computations (23.5% saved)

bsearch866.0ms (2.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
371.0ms	0.023423458314529057	5.99615348271337
493.0ms	-146.4844476593866	-2.1357499733153517e-9

Compiler

Compiled 57 to 44 computations (22.8% saved)

regimes432.0ms (1.2%)

Counts

59 → 3

Calls

Call 1

Inputs
1/3
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (.f64 x x) (.f64 -1/2 (.f64 x x)))))) 6)
(+.f64 (.f64 1/192 (.f64 (sqrt.f64 2) (pow.f64 x 4))) 1/3)
(.f64 (.f64 (sqrt.f64 2) (.f64 x x)) (+.f64 (.f64 (cos.f64 x) -1/96) 1/96))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (.f64 x x) (-.f64 (cos.f64 x) 1))))) 6)
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (.f64 x x) (.f64 -1/2 (.f64 x x)))))) (-.f64 (+.f64 15/2 (.f64 3/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))) (*.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (.f64 x x) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (.f64 (+.f64 (sqrt.f64 5) -1) (+.f64 3/2 (.f64 -3/4 (.f64 x x))))) (.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (.f64 x x) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (.f64 3/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))) (*.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (-.f64 (sqrt.f64 45/4) 3/2)) (.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (.f64 3/2 (-.f64 (sqrt.f64 5) 1))) (*.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (.f64 -1/2 (.f64 x x)))))) (-.f64 (+.f64 15/2 (.f64 3/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))) (.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (.f64 (+.f64 (sqrt.f64 5) -1) (+.f64 3/2 (.f64 -3/4 (.f64 x x))))) (*.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (+.f64 x x)))) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (.f64 3/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))) (*.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (.f64 (+.f64 (sqrt.f64 45/4) -3/2) (cos.f64 x))) (*.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (/.f64 (.f64 (cos.f64 x) 9) (+.f64 (sqrt.f64 45/4) 3/2))) (*.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (.f64 3/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))) (.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (-.f64 (+.f64 1 (.f64 (+.f64 (sqrt.f64 45/4) -3/2) (cos.f64 x))) 1)) (*.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (.f64 3/2 (/.f64 (.f64 (cos.f64 x) 4) (+.f64 1 (sqrt.f64 5))))) (.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2))))) (+.f64 (.f64 3/2 (-.f64 (sqrt.f64 5) 1)) (+.f64 3 (.f64 (cos.f64 y) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5)))))))
(/.f64 (+.f64 (.f64 -1/16 (.f64 (-.f64 1 (cos.f64 y)) (.f64 (sqrt.f64 2) (pow.f64 (sin.f64 y) 2)))) 2) (+.f64 3 (+.f64 (.f64 (cos.f64 y) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5)))) (.f64 (+.f64 (sqrt.f64 5) -1) (+.f64 3/2 (.f64 -3/4 (.f64 x x)))))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (sqrt.f64 (pow.f64 (+.f64 (cos.f64 x) -1) 2)))))) (-.f64 (+.f64 15/2 (.f64 3/2 (-.f64 (sqrt.f64 5) 1))) (*.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (pow.f64 (.f64 (+.f64 (sqrt.f64 45/4) -3/2) (cos.f64 x)) 1)) (*.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (.f64 3/2 (+.f64 (.f64 (sqrt.f64 5) (cos.f64 x)) (.f64 -1 (cos.f64 x))))) (*.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 (.f64 -1/16 (.f64 (-.f64 1 (cos.f64 y)) (.f64 (sqrt.f64 2) (pow.f64 (sin.f64 y) 2)))) 2) (+.f64 3 (+.f64 (.f64 (cos.f64 y) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5)))) (.f64 3/2 (*.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))))))
(/.f64 (+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1)))) 2) (+.f64 3 (+.f64 (.f64 (cos.f64 y) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5)))) (.f64 3/2 (*.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))))))
(/.f64 (+.f64 2 (.f64 (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2)) (.f64 -1/16 (sqrt.f64 2)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (sqrt.f64 2) (.f64 (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2)) -1/16))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2))))) (.f64 3 (+.f64 (+.f64 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 (cos.f64 x) -1/16)) (.f64 (sqrt.f64 2) (pow.f64 (sin.f64 x) 2)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 (.f64 (.f64 (sqrt.f64 2) (-.f64 1 (cos.f64 y))) (+.f64 (.f64 -1/16 (pow.f64 (sin.f64 y) 2)) (.f64 (sin.f64 y) (.f64 x 257/256)))) 2) (+.f64 3 (+.f64 (.f64 (cos.f64 y) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5)))) (.f64 (+.f64 (sqrt.f64 5) -1) (+.f64 3/2 (.f64 -3/4 (.f64 x x)))))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (fma.f64 (sqrt.f64 45/4) (cos.f64 x) (.f64 -3/2 (cos.f64 x)))) (*.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (pow.f64 (sqrt.f64 (.f64 (+.f64 (sqrt.f64 45/4) -3/2) (cos.f64 x))) 2)) (*.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (sqrt.f64 (pow.f64 (.f64 (+.f64 (sqrt.f64 45/4) -3/2) (cos.f64 x)) 2))) (*.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (cbrt.f64 (pow.f64 (.f64 (+.f64 (sqrt.f64 45/4) -3/2) (cos.f64 x)) 3))) (*.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (sqrt.f64 (pow.f64 (+.f64 (cos.f64 x) -1) 2)))))) (-.f64 (+.f64 15/2 (.f64 3/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))) (.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 (cos.f64 x) -1)) 3))))) (-.f64 (+.f64 15/2 (.f64 3/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))) (.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (cbrt.f64 (-.f64 (+.f64 1 (pow.f64 (.f64 (+.f64 (sqrt.f64 45/4) -3/2) (cos.f64 x)) 3)) 1))) (*.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (exp.f64 (.f64 (.f64 2 (log.f64 (cbrt.f64 (sin.f64 x)))) 3)) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (.f64 3/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))) (.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (sin.f64 x)) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 1 (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (sin.f64 x)) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) 1))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 (.f64 (.f64 (sqrt.f64 2) (-.f64 1 (cos.f64 y))) (+.f64 (.f64 -1/16 (pow.f64 (sin.f64 y) 2)) (.f64 (sin.f64 y) (.f64 x 257/256)))) 2) (+.f64 3 (+.f64 (.f64 (cos.f64 y) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5)))) (.f64 3/2 (*.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))))))
(/.f64 (+.f64 2 (.f64 (.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 (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 1/2 (-.f64 (sqrt.f64 5) 1))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (-.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 1/2 (-.f64 (sqrt.f64 5) 1))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) (sin.f64 y))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) 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 (cos.f64 y)) (sqrt.f64 2)) (+.f64 (.f64 -1/16 (pow.f64 (sin.f64 y) 2)) (.f64 257/256 (.f64 x (sin.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 (.f64 -1/16 (sin.f64 y)) 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 1 (cos.f64 y)) (.f64 (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x)) (+.f64 (.f64 -1/16 (sin.f64 x)) (sin.f64 y))))) 2) (+.f64 3 (+.f64 (.f64 (cos.f64 y) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5)))) (.f64 (+.f64 (sqrt.f64 5) -1) (+.f64 3/2 (.f64 -3/4 (.f64 x x)))))))
(/.f64 (+.f64 2 (.f64 (+.f64 1/16 (.f64 (cos.f64 x) -1/16)) (.f64 (sqrt.f64 2) (pow.f64 (sin.f64 x) 2)))) (.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 (.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x)) (+.f64 (.f64 -1/16 (sin.f64 x)) (sin.f64 y))))) 2) (+.f64 3 (+.f64 (.f64 (cos.f64 y) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5)))) (.f64 3/2 (-.f64 (sqrt.f64 5) 1)))))
(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (sin.f64 x)) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.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) 1) (.f64 (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x)) (+.f64 (.f64 -1/16 (sin.f64 x)) (sin.f64 y))))) 2) (+.f64 3 (+.f64 (.f64 (cos.f64 y) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5)))) (.f64 3/2 (*.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))))))
(/.f64 (+.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (.f64 (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x)) (+.f64 (.f64 -1/16 (sin.f64 x)) (sin.f64 y))))) 2) (+.f64 3 (+.f64 (.f64 (cos.f64 y) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5)))) (.f64 3/2 (*.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))))))
(/.f64 (+.f64 2 (.f64 (.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) (sin.f64 y))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (*.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 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 (cos.f64 x) (.f64 1/2 (+.f64 (sqrt.f64 5) 1)))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) 1))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (+.f64 (sin.f64 x) (.f64 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 (.f64 -1/16 (sin.f64 y)) 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 (.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)))))

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

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

Calls

2 calls:

191.0ms	x
144.0ms	y

Results

Error	Segments	Branch
11.2b	3	`x`
12.1b	3	`y`

Compiler

Compiled 2224 to 1710 computations (23.1% saved)

bsearch637.0ms (1.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
217.0ms	0.023423458314529057	5.99615348271337
418.0ms	-146.4844476593866	-2.1357499733153517e-9

Compiler

Compiled 57 to 44 computations (22.8% saved)

regimes372.0ms (1%)

Counts

50 → 3

Calls

Call 1

Inputs
1/3
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (.f64 x x) (.f64 -1/2 (.f64 x x)))))) 6)
(+.f64 (.f64 1/192 (.f64 (sqrt.f64 2) (pow.f64 x 4))) 1/3)
(.f64 (.f64 (sqrt.f64 2) (.f64 x x)) (+.f64 (.f64 (cos.f64 x) -1/96) 1/96))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (.f64 x x) (-.f64 (cos.f64 x) 1))))) 6)
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (.f64 x x) (.f64 -1/2 (.f64 x x)))))) (-.f64 (+.f64 15/2 (.f64 3/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))) (*.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (.f64 x x) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (.f64 (+.f64 (sqrt.f64 5) -1) (+.f64 3/2 (.f64 -3/4 (.f64 x x))))) (.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (.f64 x x) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (.f64 3/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))) (*.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (-.f64 (sqrt.f64 45/4) 3/2)) (.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (.f64 3/2 (-.f64 (sqrt.f64 5) 1))) (*.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (.f64 -1/2 (.f64 x x)))))) (-.f64 (+.f64 15/2 (.f64 3/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))) (.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (.f64 (+.f64 (sqrt.f64 5) -1) (+.f64 3/2 (.f64 -3/4 (.f64 x x))))) (*.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (+.f64 x x)))) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (.f64 3/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))) (*.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (.f64 (+.f64 (sqrt.f64 45/4) -3/2) (cos.f64 x))) (*.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (/.f64 (.f64 (cos.f64 x) 9) (+.f64 (sqrt.f64 45/4) 3/2))) (*.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (.f64 3/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))) (.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (-.f64 (+.f64 1 (.f64 (+.f64 (sqrt.f64 45/4) -3/2) (cos.f64 x))) 1)) (*.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (.f64 3/2 (/.f64 (.f64 (cos.f64 x) 4) (+.f64 1 (sqrt.f64 5))))) (.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2))))) (+.f64 (.f64 3/2 (-.f64 (sqrt.f64 5) 1)) (+.f64 3 (.f64 (cos.f64 y) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5)))))))
(/.f64 (+.f64 (.f64 -1/16 (.f64 (-.f64 1 (cos.f64 y)) (.f64 (sqrt.f64 2) (pow.f64 (sin.f64 y) 2)))) 2) (+.f64 3 (+.f64 (.f64 (cos.f64 y) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5)))) (.f64 (+.f64 (sqrt.f64 5) -1) (+.f64 3/2 (.f64 -3/4 (.f64 x x)))))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (sqrt.f64 (pow.f64 (+.f64 (cos.f64 x) -1) 2)))))) (-.f64 (+.f64 15/2 (.f64 3/2 (-.f64 (sqrt.f64 5) 1))) (*.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (pow.f64 (.f64 (+.f64 (sqrt.f64 45/4) -3/2) (cos.f64 x)) 1)) (*.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (.f64 3/2 (+.f64 (.f64 (sqrt.f64 5) (cos.f64 x)) (.f64 -1 (cos.f64 x))))) (*.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 (.f64 -1/16 (.f64 (-.f64 1 (cos.f64 y)) (.f64 (sqrt.f64 2) (pow.f64 (sin.f64 y) 2)))) 2) (+.f64 3 (+.f64 (.f64 (cos.f64 y) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5)))) (.f64 3/2 (*.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))))))
(/.f64 (+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1)))) 2) (+.f64 3 (+.f64 (.f64 (cos.f64 y) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5)))) (.f64 3/2 (*.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))))))
(/.f64 (+.f64 2 (.f64 (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2)) (.f64 -1/16 (sqrt.f64 2)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (sqrt.f64 2) (.f64 (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2)) -1/16))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2))))) (.f64 3 (+.f64 (+.f64 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 (cos.f64 x) -1/16)) (.f64 (sqrt.f64 2) (pow.f64 (sin.f64 x) 2)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 (.f64 (.f64 (sqrt.f64 2) (-.f64 1 (cos.f64 y))) (+.f64 (.f64 -1/16 (pow.f64 (sin.f64 y) 2)) (.f64 (sin.f64 y) (.f64 x 257/256)))) 2) (+.f64 3 (+.f64 (.f64 (cos.f64 y) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5)))) (.f64 (+.f64 (sqrt.f64 5) -1) (+.f64 3/2 (.f64 -3/4 (.f64 x x)))))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (fma.f64 (sqrt.f64 45/4) (cos.f64 x) (.f64 -3/2 (cos.f64 x)))) (*.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (pow.f64 (sqrt.f64 (.f64 (+.f64 (sqrt.f64 45/4) -3/2) (cos.f64 x))) 2)) (*.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (sqrt.f64 (pow.f64 (.f64 (+.f64 (sqrt.f64 45/4) -3/2) (cos.f64 x)) 2))) (*.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (cbrt.f64 (pow.f64 (.f64 (+.f64 (sqrt.f64 45/4) -3/2) (cos.f64 x)) 3))) (*.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (sqrt.f64 (pow.f64 (+.f64 (cos.f64 x) -1) 2)))))) (-.f64 (+.f64 15/2 (.f64 3/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))) (.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 (cos.f64 x) -1)) 3))))) (-.f64 (+.f64 15/2 (.f64 3/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))) (.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (cbrt.f64 (-.f64 (+.f64 1 (pow.f64 (.f64 (+.f64 (sqrt.f64 45/4) -3/2) (cos.f64 x)) 3)) 1))) (*.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (exp.f64 (.f64 (.f64 2 (log.f64 (cbrt.f64 (sin.f64 x)))) 3)) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (.f64 3/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))) (.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (sin.f64 x)) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 1 (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (sin.f64 x)) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) 1))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 (.f64 (.f64 (sqrt.f64 2) (-.f64 1 (cos.f64 y))) (+.f64 (.f64 -1/16 (pow.f64 (sin.f64 y) 2)) (.f64 (sin.f64 y) (.f64 x 257/256)))) 2) (+.f64 3 (+.f64 (.f64 (cos.f64 y) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5)))) (.f64 3/2 (*.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))))))
(/.f64 (+.f64 2 (.f64 (.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 (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 1/2 (-.f64 (sqrt.f64 5) 1))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (-.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 1/2 (-.f64 (sqrt.f64 5) 1))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) (sin.f64 y))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) 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 (cos.f64 y)) (sqrt.f64 2)) (+.f64 (.f64 -1/16 (pow.f64 (sin.f64 y) 2)) (.f64 257/256 (.f64 x (sin.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 (.f64 -1/16 (sin.f64 y)) 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 1 (cos.f64 y)) (.f64 (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x)) (+.f64 (.f64 -1/16 (sin.f64 x)) (sin.f64 y))))) 2) (+.f64 3 (+.f64 (.f64 (cos.f64 y) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5)))) (.f64 (+.f64 (sqrt.f64 5) -1) (+.f64 3/2 (.f64 -3/4 (.f64 x x)))))))
(/.f64 (+.f64 2 (.f64 (+.f64 1/16 (.f64 (cos.f64 x) -1/16)) (.f64 (sqrt.f64 2) (pow.f64 (sin.f64 x) 2)))) (.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 (.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x)) (+.f64 (.f64 -1/16 (sin.f64 x)) (sin.f64 y))))) 2) (+.f64 3 (+.f64 (.f64 (cos.f64 y) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5)))) (.f64 3/2 (-.f64 (sqrt.f64 5) 1)))))

Outputs

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

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

Calls

2 calls:

195.0ms	y
122.0ms	x

Results

Error	Segments	Branch
12.1b	3	`x`
12.2b	3	`y`

Compiler

Compiled 1793 to 1411 computations (21.3% saved)

bsearch462.0ms (1.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
254.0ms	0.023423458314529057	5.99615348271337
207.0ms	-146.4844476593866	-2.1357499733153517e-9

Compiler

Compiled 57 to 44 computations (22.8% saved)

regimes611.0ms (1.6%)

Counts

47 → 3

Calls

Call 1

Inputs
1/3
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (.f64 x x) (.f64 -1/2 (.f64 x x)))))) 6)
(+.f64 (.f64 1/192 (.f64 (sqrt.f64 2) (pow.f64 x 4))) 1/3)
(.f64 (.f64 (sqrt.f64 2) (.f64 x x)) (+.f64 (.f64 (cos.f64 x) -1/96) 1/96))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (.f64 x x) (-.f64 (cos.f64 x) 1))))) 6)
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (.f64 x x) (.f64 -1/2 (.f64 x x)))))) (-.f64 (+.f64 15/2 (.f64 3/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))) (*.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (.f64 x x) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (.f64 (+.f64 (sqrt.f64 5) -1) (+.f64 3/2 (.f64 -3/4 (.f64 x x))))) (.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (.f64 x x) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (.f64 3/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))) (*.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (-.f64 (sqrt.f64 45/4) 3/2)) (.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (.f64 3/2 (-.f64 (sqrt.f64 5) 1))) (*.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (.f64 -1/2 (.f64 x x)))))) (-.f64 (+.f64 15/2 (.f64 3/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))) (.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (.f64 (+.f64 (sqrt.f64 5) -1) (+.f64 3/2 (.f64 -3/4 (.f64 x x))))) (*.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (+.f64 x x)))) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (.f64 3/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))) (*.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (.f64 (+.f64 (sqrt.f64 45/4) -3/2) (cos.f64 x))) (*.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (/.f64 (.f64 (cos.f64 x) 9) (+.f64 (sqrt.f64 45/4) 3/2))) (*.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (.f64 3/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))) (.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (-.f64 (+.f64 1 (.f64 (+.f64 (sqrt.f64 45/4) -3/2) (cos.f64 x))) 1)) (*.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (.f64 3/2 (/.f64 (.f64 (cos.f64 x) 4) (+.f64 1 (sqrt.f64 5))))) (.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2))))) (+.f64 (.f64 3/2 (-.f64 (sqrt.f64 5) 1)) (+.f64 3 (.f64 (cos.f64 y) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5)))))))
(/.f64 (+.f64 (.f64 -1/16 (.f64 (-.f64 1 (cos.f64 y)) (.f64 (sqrt.f64 2) (pow.f64 (sin.f64 y) 2)))) 2) (+.f64 3 (+.f64 (.f64 (cos.f64 y) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5)))) (.f64 (+.f64 (sqrt.f64 5) -1) (+.f64 3/2 (.f64 -3/4 (.f64 x x)))))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (sqrt.f64 (pow.f64 (+.f64 (cos.f64 x) -1) 2)))))) (-.f64 (+.f64 15/2 (.f64 3/2 (-.f64 (sqrt.f64 5) 1))) (*.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (pow.f64 (.f64 (+.f64 (sqrt.f64 45/4) -3/2) (cos.f64 x)) 1)) (*.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (.f64 3/2 (+.f64 (.f64 (sqrt.f64 5) (cos.f64 x)) (.f64 -1 (cos.f64 x))))) (*.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 (.f64 -1/16 (.f64 (-.f64 1 (cos.f64 y)) (.f64 (sqrt.f64 2) (pow.f64 (sin.f64 y) 2)))) 2) (+.f64 3 (+.f64 (.f64 (cos.f64 y) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5)))) (.f64 3/2 (*.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))))))
(/.f64 (+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1)))) 2) (+.f64 3 (+.f64 (.f64 (cos.f64 y) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5)))) (.f64 3/2 (*.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))))))
(/.f64 (+.f64 2 (.f64 (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2)) (.f64 -1/16 (sqrt.f64 2)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (sqrt.f64 2) (.f64 (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2)) -1/16))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2))))) (.f64 3 (+.f64 (+.f64 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 (cos.f64 x) -1/16)) (.f64 (sqrt.f64 2) (pow.f64 (sin.f64 x) 2)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 (.f64 (.f64 (sqrt.f64 2) (-.f64 1 (cos.f64 y))) (+.f64 (.f64 -1/16 (pow.f64 (sin.f64 y) 2)) (.f64 (sin.f64 y) (.f64 x 257/256)))) 2) (+.f64 3 (+.f64 (.f64 (cos.f64 y) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5)))) (.f64 (+.f64 (sqrt.f64 5) -1) (+.f64 3/2 (.f64 -3/4 (.f64 x x)))))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (fma.f64 (sqrt.f64 45/4) (cos.f64 x) (.f64 -3/2 (cos.f64 x)))) (*.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (pow.f64 (sqrt.f64 (.f64 (+.f64 (sqrt.f64 45/4) -3/2) (cos.f64 x))) 2)) (*.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (sqrt.f64 (pow.f64 (.f64 (+.f64 (sqrt.f64 45/4) -3/2) (cos.f64 x)) 2))) (*.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (cbrt.f64 (pow.f64 (.f64 (+.f64 (sqrt.f64 45/4) -3/2) (cos.f64 x)) 3))) (*.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (sqrt.f64 (pow.f64 (+.f64 (cos.f64 x) -1) 2)))))) (-.f64 (+.f64 15/2 (.f64 3/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))) (.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 (cos.f64 x) -1)) 3))))) (-.f64 (+.f64 15/2 (.f64 3/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))) (.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (cbrt.f64 (-.f64 (+.f64 1 (pow.f64 (.f64 (+.f64 (sqrt.f64 45/4) -3/2) (cos.f64 x)) 3)) 1))) (*.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (exp.f64 (.f64 (.f64 2 (log.f64 (cbrt.f64 (sin.f64 x)))) 3)) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (.f64 3/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))) (.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (sin.f64 x)) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 1 (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (sin.f64 x)) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) 1))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 (.f64 (.f64 (sqrt.f64 2) (-.f64 1 (cos.f64 y))) (+.f64 (.f64 -1/16 (pow.f64 (sin.f64 y) 2)) (.f64 (sin.f64 y) (.f64 x 257/256)))) 2) (+.f64 3 (+.f64 (.f64 (cos.f64 y) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5)))) (.f64 3/2 (*.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))))))
(/.f64 (+.f64 2 (.f64 (.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 (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 1/2 (-.f64 (sqrt.f64 5) 1))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (-.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 1/2 (-.f64 (sqrt.f64 5) 1))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) (sin.f64 y))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) 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 (cos.f64 y)) (sqrt.f64 2)) (+.f64 (.f64 -1/16 (pow.f64 (sin.f64 y) 2)) (.f64 257/256 (.f64 x (sin.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 (.f64 -1/16 (sin.f64 y)) 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 1/16 (*.f64 (cos.f64 x) -1/16)) (*.f64 (sqrt.f64 2) (pow.f64 (sin.f64 x) 2)))) (*.f64 3 (+.f64 (+.f64 1 (*.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (*.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))

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

(/.f64 (+.f64 2 (*.f64 (*.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)))))

Calls

2 calls:

278.0ms	y
208.0ms	x

Results

Error	Segments	Branch
12.1b	3	`x`
12.2b	3	`y`

Compiler

Compiled 1656 to 1311 computations (20.8% saved)

bsearch657.0ms (1.8%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
167.0ms	0.023423458314529057	5.99615348271337
489.0ms	-146.4844476593866	-2.1357499733153517e-9

Compiler

Compiled 57 to 44 computations (22.8% saved)

regimes170.0ms (0.5%)

Counts

40 → 3

Calls

Call 1

Inputs
1/3
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (.f64 x x) (.f64 -1/2 (.f64 x x)))))) 6)
(+.f64 (.f64 1/192 (.f64 (sqrt.f64 2) (pow.f64 x 4))) 1/3)
(.f64 (.f64 (sqrt.f64 2) (.f64 x x)) (+.f64 (.f64 (cos.f64 x) -1/96) 1/96))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (.f64 x x) (-.f64 (cos.f64 x) 1))))) 6)
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (.f64 x x) (.f64 -1/2 (.f64 x x)))))) (-.f64 (+.f64 15/2 (.f64 3/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))) (*.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (.f64 x x) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (.f64 (+.f64 (sqrt.f64 5) -1) (+.f64 3/2 (.f64 -3/4 (.f64 x x))))) (.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (.f64 x x) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (.f64 3/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))) (*.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (-.f64 (sqrt.f64 45/4) 3/2)) (.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (.f64 3/2 (-.f64 (sqrt.f64 5) 1))) (*.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (.f64 -1/2 (.f64 x x)))))) (-.f64 (+.f64 15/2 (.f64 3/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))) (.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (.f64 (+.f64 (sqrt.f64 5) -1) (+.f64 3/2 (.f64 -3/4 (.f64 x x))))) (*.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (+.f64 x x)))) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (.f64 3/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))) (*.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (.f64 (+.f64 (sqrt.f64 45/4) -3/2) (cos.f64 x))) (*.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (/.f64 (.f64 (cos.f64 x) 9) (+.f64 (sqrt.f64 45/4) 3/2))) (*.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (.f64 3/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))) (.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (-.f64 (+.f64 1 (.f64 (+.f64 (sqrt.f64 45/4) -3/2) (cos.f64 x))) 1)) (*.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (.f64 3/2 (/.f64 (.f64 (cos.f64 x) 4) (+.f64 1 (sqrt.f64 5))))) (.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2))))) (+.f64 (.f64 3/2 (-.f64 (sqrt.f64 5) 1)) (+.f64 3 (.f64 (cos.f64 y) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5)))))))
(/.f64 (+.f64 (.f64 -1/16 (.f64 (-.f64 1 (cos.f64 y)) (.f64 (sqrt.f64 2) (pow.f64 (sin.f64 y) 2)))) 2) (+.f64 3 (+.f64 (.f64 (cos.f64 y) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5)))) (.f64 (+.f64 (sqrt.f64 5) -1) (+.f64 3/2 (.f64 -3/4 (.f64 x x)))))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (sqrt.f64 (pow.f64 (+.f64 (cos.f64 x) -1) 2)))))) (-.f64 (+.f64 15/2 (.f64 3/2 (-.f64 (sqrt.f64 5) 1))) (*.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (pow.f64 (.f64 (+.f64 (sqrt.f64 45/4) -3/2) (cos.f64 x)) 1)) (*.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (.f64 3/2 (+.f64 (.f64 (sqrt.f64 5) (cos.f64 x)) (.f64 -1 (cos.f64 x))))) (*.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 (.f64 -1/16 (.f64 (-.f64 1 (cos.f64 y)) (.f64 (sqrt.f64 2) (pow.f64 (sin.f64 y) 2)))) 2) (+.f64 3 (+.f64 (.f64 (cos.f64 y) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5)))) (.f64 3/2 (*.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))))))
(/.f64 (+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1)))) 2) (+.f64 3 (+.f64 (.f64 (cos.f64 y) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5)))) (.f64 3/2 (*.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))))))
(/.f64 (+.f64 2 (.f64 (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2)) (.f64 -1/16 (sqrt.f64 2)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (sqrt.f64 2) (.f64 (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2)) -1/16))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2))))) (.f64 3 (+.f64 (+.f64 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 (cos.f64 x) -1/16)) (.f64 (sqrt.f64 2) (pow.f64 (sin.f64 x) 2)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 (.f64 (.f64 (sqrt.f64 2) (-.f64 1 (cos.f64 y))) (+.f64 (.f64 -1/16 (pow.f64 (sin.f64 y) 2)) (.f64 (sin.f64 y) (.f64 x 257/256)))) 2) (+.f64 3 (+.f64 (.f64 (cos.f64 y) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5)))) (.f64 (+.f64 (sqrt.f64 5) -1) (+.f64 3/2 (.f64 -3/4 (.f64 x x)))))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (fma.f64 (sqrt.f64 45/4) (cos.f64 x) (.f64 -3/2 (cos.f64 x)))) (*.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (pow.f64 (sqrt.f64 (.f64 (+.f64 (sqrt.f64 45/4) -3/2) (cos.f64 x))) 2)) (*.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (sqrt.f64 (pow.f64 (.f64 (+.f64 (sqrt.f64 45/4) -3/2) (cos.f64 x)) 2))) (*.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (cbrt.f64 (pow.f64 (.f64 (+.f64 (sqrt.f64 45/4) -3/2) (cos.f64 x)) 3))) (*.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (sqrt.f64 (pow.f64 (+.f64 (cos.f64 x) -1) 2)))))) (-.f64 (+.f64 15/2 (.f64 3/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))) (.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 (cos.f64 x) -1)) 3))))) (-.f64 (+.f64 15/2 (.f64 3/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))) (.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (cbrt.f64 (-.f64 (+.f64 1 (pow.f64 (.f64 (+.f64 (sqrt.f64 45/4) -3/2) (cos.f64 x)) 3)) 1))) (*.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (exp.f64 (.f64 (.f64 2 (log.f64 (cbrt.f64 (sin.f64 x)))) 3)) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (.f64 3/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))) (.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (sin.f64 x)) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 1 (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (sin.f64 x)) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) 1))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))

Outputs

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

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

Calls

2 calls:

66.0ms	x
65.0ms	y

Results

Error	Segments	Branch
12.1b	3	`x`
12.3b	3	`y`

Compiler

Compiled 1332 to 1070 computations (19.7% saved)

bsearch567.0ms (1.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
271.0ms	0.023423458314529057	5.99615348271337
296.0ms	-146.4844476593866	-2.1357499733153517e-9

Compiler

Compiled 57 to 44 computations (22.8% saved)

regimes269.0ms (0.7%)

Counts

39 → 3

Calls

Call 1

Inputs
1/3
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (.f64 x x) (.f64 -1/2 (.f64 x x)))))) 6)
(+.f64 (.f64 1/192 (.f64 (sqrt.f64 2) (pow.f64 x 4))) 1/3)
(.f64 (.f64 (sqrt.f64 2) (.f64 x x)) (+.f64 (.f64 (cos.f64 x) -1/96) 1/96))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (.f64 x x) (-.f64 (cos.f64 x) 1))))) 6)
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (.f64 x x) (.f64 -1/2 (.f64 x x)))))) (-.f64 (+.f64 15/2 (.f64 3/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))) (*.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (.f64 x x) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (.f64 (+.f64 (sqrt.f64 5) -1) (+.f64 3/2 (.f64 -3/4 (.f64 x x))))) (.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (.f64 x x) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (.f64 3/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))) (*.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (-.f64 (sqrt.f64 45/4) 3/2)) (.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (.f64 3/2 (-.f64 (sqrt.f64 5) 1))) (*.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (.f64 -1/2 (.f64 x x)))))) (-.f64 (+.f64 15/2 (.f64 3/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))) (.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (.f64 (+.f64 (sqrt.f64 5) -1) (+.f64 3/2 (.f64 -3/4 (.f64 x x))))) (*.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (+.f64 x x)))) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (.f64 3/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))) (*.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (.f64 (+.f64 (sqrt.f64 45/4) -3/2) (cos.f64 x))) (*.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (/.f64 (.f64 (cos.f64 x) 9) (+.f64 (sqrt.f64 45/4) 3/2))) (*.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (.f64 3/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))) (.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (-.f64 (+.f64 1 (.f64 (+.f64 (sqrt.f64 45/4) -3/2) (cos.f64 x))) 1)) (*.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (.f64 3/2 (/.f64 (.f64 (cos.f64 x) 4) (+.f64 1 (sqrt.f64 5))))) (.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2))))) (+.f64 (.f64 3/2 (-.f64 (sqrt.f64 5) 1)) (+.f64 3 (.f64 (cos.f64 y) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5)))))))
(/.f64 (+.f64 (.f64 -1/16 (.f64 (-.f64 1 (cos.f64 y)) (.f64 (sqrt.f64 2) (pow.f64 (sin.f64 y) 2)))) 2) (+.f64 3 (+.f64 (.f64 (cos.f64 y) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5)))) (.f64 (+.f64 (sqrt.f64 5) -1) (+.f64 3/2 (.f64 -3/4 (.f64 x x)))))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (sqrt.f64 (pow.f64 (+.f64 (cos.f64 x) -1) 2)))))) (-.f64 (+.f64 15/2 (.f64 3/2 (-.f64 (sqrt.f64 5) 1))) (*.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (pow.f64 (.f64 (+.f64 (sqrt.f64 45/4) -3/2) (cos.f64 x)) 1)) (*.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (.f64 3/2 (+.f64 (.f64 (sqrt.f64 5) (cos.f64 x)) (.f64 -1 (cos.f64 x))))) (*.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 (.f64 -1/16 (.f64 (-.f64 1 (cos.f64 y)) (.f64 (sqrt.f64 2) (pow.f64 (sin.f64 y) 2)))) 2) (+.f64 3 (+.f64 (.f64 (cos.f64 y) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5)))) (.f64 3/2 (*.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))))))
(/.f64 (+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1)))) 2) (+.f64 3 (+.f64 (.f64 (cos.f64 y) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5)))) (.f64 3/2 (*.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))))))
(/.f64 (+.f64 2 (.f64 (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2)) (.f64 -1/16 (sqrt.f64 2)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (sqrt.f64 2) (.f64 (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2)) -1/16))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2))))) (.f64 3 (+.f64 (+.f64 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 (cos.f64 x) -1/16)) (.f64 (sqrt.f64 2) (pow.f64 (sin.f64 x) 2)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 (.f64 (.f64 (sqrt.f64 2) (-.f64 1 (cos.f64 y))) (+.f64 (.f64 -1/16 (pow.f64 (sin.f64 y) 2)) (.f64 (sin.f64 y) (.f64 x 257/256)))) 2) (+.f64 3 (+.f64 (.f64 (cos.f64 y) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5)))) (.f64 (+.f64 (sqrt.f64 5) -1) (+.f64 3/2 (.f64 -3/4 (.f64 x x)))))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (fma.f64 (sqrt.f64 45/4) (cos.f64 x) (.f64 -3/2 (cos.f64 x)))) (*.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (pow.f64 (sqrt.f64 (.f64 (+.f64 (sqrt.f64 45/4) -3/2) (cos.f64 x))) 2)) (*.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (sqrt.f64 (pow.f64 (.f64 (+.f64 (sqrt.f64 45/4) -3/2) (cos.f64 x)) 2))) (*.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (cbrt.f64 (pow.f64 (.f64 (+.f64 (sqrt.f64 45/4) -3/2) (cos.f64 x)) 3))) (*.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (sqrt.f64 (pow.f64 (+.f64 (cos.f64 x) -1) 2)))))) (-.f64 (+.f64 15/2 (.f64 3/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))) (.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 (cos.f64 x) -1)) 3))))) (-.f64 (+.f64 15/2 (.f64 3/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))) (.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (cbrt.f64 (-.f64 (+.f64 1 (pow.f64 (.f64 (+.f64 (sqrt.f64 45/4) -3/2) (cos.f64 x)) 3)) 1))) (*.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (exp.f64 (.f64 (.f64 2 (log.f64 (cbrt.f64 (sin.f64 x)))) 3)) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (.f64 3/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))) (.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 (.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 1/16 (*.f64 (cos.f64 x) -1/16)) (*.f64 (sqrt.f64 2) (pow.f64 (sin.f64 x) 2)))) (*.f64 3 (+.f64 (+.f64 1 (*.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (*.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))

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

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

Calls

2 calls:

180.0ms	x
55.0ms	y

Results

Error	Segments	Branch
12.2b	3	`x`
12.4b	3	`y`

Compiler

Compiled 1288 to 1038 computations (19.4% saved)

bsearch486.0ms (1.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
157.0ms	0.023423458314529057	5.99615348271337
328.0ms	-146.4844476593866	-2.1357499733153517e-9

Compiler

Compiled 57 to 44 computations (22.8% saved)

regimes133.0ms (0.4%)

Counts

29 → 3

Calls

Call 1

Inputs
1/3
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (.f64 x x) (.f64 -1/2 (.f64 x x)))))) 6)
(+.f64 (.f64 1/192 (.f64 (sqrt.f64 2) (pow.f64 x 4))) 1/3)
(.f64 (.f64 (sqrt.f64 2) (.f64 x x)) (+.f64 (.f64 (cos.f64 x) -1/96) 1/96))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (.f64 x x) (-.f64 (cos.f64 x) 1))))) 6)
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (.f64 x x) (.f64 -1/2 (.f64 x x)))))) (-.f64 (+.f64 15/2 (.f64 3/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))) (*.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (.f64 x x) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (.f64 (+.f64 (sqrt.f64 5) -1) (+.f64 3/2 (.f64 -3/4 (.f64 x x))))) (.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (.f64 x x) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (.f64 3/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))) (*.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (-.f64 (sqrt.f64 45/4) 3/2)) (.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (.f64 3/2 (-.f64 (sqrt.f64 5) 1))) (*.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (.f64 -1/2 (.f64 x x)))))) (-.f64 (+.f64 15/2 (.f64 3/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))) (.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (.f64 (+.f64 (sqrt.f64 5) -1) (+.f64 3/2 (.f64 -3/4 (.f64 x x))))) (*.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (+.f64 x x)))) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (.f64 3/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))) (*.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (.f64 (+.f64 (sqrt.f64 45/4) -3/2) (cos.f64 x))) (*.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (/.f64 (.f64 (cos.f64 x) 9) (+.f64 (sqrt.f64 45/4) 3/2))) (*.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (.f64 3/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))) (.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (-.f64 (+.f64 1 (.f64 (+.f64 (sqrt.f64 45/4) -3/2) (cos.f64 x))) 1)) (*.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (.f64 3/2 (/.f64 (.f64 (cos.f64 x) 4) (+.f64 1 (sqrt.f64 5))))) (.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2))))) (+.f64 (.f64 3/2 (-.f64 (sqrt.f64 5) 1)) (+.f64 3 (.f64 (cos.f64 y) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5)))))))
(/.f64 (+.f64 (.f64 -1/16 (.f64 (-.f64 1 (cos.f64 y)) (.f64 (sqrt.f64 2) (pow.f64 (sin.f64 y) 2)))) 2) (+.f64 3 (+.f64 (.f64 (cos.f64 y) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5)))) (.f64 (+.f64 (sqrt.f64 5) -1) (+.f64 3/2 (.f64 -3/4 (.f64 x x)))))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (sqrt.f64 (pow.f64 (+.f64 (cos.f64 x) -1) 2)))))) (-.f64 (+.f64 15/2 (.f64 3/2 (-.f64 (sqrt.f64 5) 1))) (*.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (pow.f64 (.f64 (+.f64 (sqrt.f64 45/4) -3/2) (cos.f64 x)) 1)) (*.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (.f64 3/2 (+.f64 (.f64 (sqrt.f64 5) (cos.f64 x)) (.f64 -1 (cos.f64 x))))) (*.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 (.f64 -1/16 (.f64 (-.f64 1 (cos.f64 y)) (.f64 (sqrt.f64 2) (pow.f64 (sin.f64 y) 2)))) 2) (+.f64 3 (+.f64 (.f64 (cos.f64 y) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5)))) (.f64 3/2 (*.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))))))
(/.f64 (+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1)))) 2) (+.f64 3 (+.f64 (.f64 (cos.f64 y) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5)))) (.f64 3/2 (*.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))))))
(/.f64 (+.f64 2 (.f64 (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2)) (.f64 -1/16 (sqrt.f64 2)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (sqrt.f64 2) (.f64 (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2)) -1/16))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2))))) (.f64 3 (+.f64 (+.f64 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 (cos.f64 x) -1/16)) (.f64 (sqrt.f64 2) (pow.f64 (sin.f64 x) 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)))))

Outputs

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

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

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

Calls

2 calls:

62.0ms	y
47.0ms	x

Results

Error	Segments	Branch
12.3b	3	`x`
12.4b	3	`y`

Compiler

Compiled 913 to 737 computations (19.3% saved)

bsearch652.0ms (1.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
319.0ms	0.023423458314529057	5.99615348271337
332.0ms	-146.4844476593866	-2.1357499733153517e-9

Compiler

Compiled 57 to 44 computations (22.8% saved)

regimes197.0ms (0.5%)

Counts

28 → 3

Calls

Call 1

Inputs
1/3
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (.f64 x x) (.f64 -1/2 (.f64 x x)))))) 6)
(+.f64 (.f64 1/192 (.f64 (sqrt.f64 2) (pow.f64 x 4))) 1/3)
(.f64 (.f64 (sqrt.f64 2) (.f64 x x)) (+.f64 (.f64 (cos.f64 x) -1/96) 1/96))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (.f64 x x) (-.f64 (cos.f64 x) 1))))) 6)
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (.f64 x x) (.f64 -1/2 (.f64 x x)))))) (-.f64 (+.f64 15/2 (.f64 3/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))) (*.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (.f64 x x) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (.f64 (+.f64 (sqrt.f64 5) -1) (+.f64 3/2 (.f64 -3/4 (.f64 x x))))) (.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (.f64 x x) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (.f64 3/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))) (*.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (-.f64 (sqrt.f64 45/4) 3/2)) (.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (.f64 3/2 (-.f64 (sqrt.f64 5) 1))) (*.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (.f64 -1/2 (.f64 x x)))))) (-.f64 (+.f64 15/2 (.f64 3/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))) (.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (.f64 (+.f64 (sqrt.f64 5) -1) (+.f64 3/2 (.f64 -3/4 (.f64 x x))))) (*.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (+.f64 x x)))) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (.f64 3/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))) (*.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (.f64 (+.f64 (sqrt.f64 45/4) -3/2) (cos.f64 x))) (*.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (/.f64 (.f64 (cos.f64 x) 9) (+.f64 (sqrt.f64 45/4) 3/2))) (*.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (.f64 3/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))) (.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (-.f64 (+.f64 1 (.f64 (+.f64 (sqrt.f64 45/4) -3/2) (cos.f64 x))) 1)) (*.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (.f64 3/2 (/.f64 (.f64 (cos.f64 x) 4) (+.f64 1 (sqrt.f64 5))))) (.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2))))) (+.f64 (.f64 3/2 (-.f64 (sqrt.f64 5) 1)) (+.f64 3 (.f64 (cos.f64 y) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5)))))))
(/.f64 (+.f64 (.f64 -1/16 (.f64 (-.f64 1 (cos.f64 y)) (.f64 (sqrt.f64 2) (pow.f64 (sin.f64 y) 2)))) 2) (+.f64 3 (+.f64 (.f64 (cos.f64 y) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5)))) (.f64 (+.f64 (sqrt.f64 5) -1) (+.f64 3/2 (.f64 -3/4 (.f64 x x)))))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (sqrt.f64 (pow.f64 (+.f64 (cos.f64 x) -1) 2)))))) (-.f64 (+.f64 15/2 (.f64 3/2 (-.f64 (sqrt.f64 5) 1))) (*.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (pow.f64 (.f64 (+.f64 (sqrt.f64 45/4) -3/2) (cos.f64 x)) 1)) (*.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (.f64 3/2 (+.f64 (.f64 (sqrt.f64 5) (cos.f64 x)) (.f64 -1 (cos.f64 x))))) (*.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 (.f64 -1/16 (.f64 (-.f64 1 (cos.f64 y)) (.f64 (sqrt.f64 2) (pow.f64 (sin.f64 y) 2)))) 2) (+.f64 3 (+.f64 (.f64 (cos.f64 y) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5)))) (.f64 3/2 (*.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))))))
(/.f64 (+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1)))) 2) (+.f64 3 (+.f64 (.f64 (cos.f64 y) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5)))) (.f64 3/2 (*.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))))))
(/.f64 (+.f64 2 (.f64 (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2)) (.f64 -1/16 (sqrt.f64 2)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (sqrt.f64 2) (.f64 (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2)) -1/16))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2))))) (.f64 3 (+.f64 (+.f64 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 (*.f64 -1/16 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1)))) 2) (+.f64 3 (+.f64 (*.f64 (cos.f64 y) (-.f64 9/2 (*.f64 3/2 (sqrt.f64 5)))) (*.f64 3/2 (*.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))))))

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

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

Calls

2 calls:

92.0ms	y
77.0ms	x

Results

Error	Segments	Branch
12.3b	3	`x`
12.4b	3	`y`

Compiler

Compiled 873 to 705 computations (19.2% saved)

bsearch725.0ms (1.9%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
316.0ms	0.023423458314529057	5.99615348271337
409.0ms	-146.4844476593866	-2.1357499733153517e-9

Compiler

Compiled 57 to 44 computations (22.8% saved)

regimes291.0ms (0.8%)

Counts

24 → 3

Calls

Call 1

Inputs
1/3
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (.f64 x x) (.f64 -1/2 (.f64 x x)))))) 6)
(+.f64 (.f64 1/192 (.f64 (sqrt.f64 2) (pow.f64 x 4))) 1/3)
(.f64 (.f64 (sqrt.f64 2) (.f64 x x)) (+.f64 (.f64 (cos.f64 x) -1/96) 1/96))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (.f64 x x) (-.f64 (cos.f64 x) 1))))) 6)
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (.f64 x x) (.f64 -1/2 (.f64 x x)))))) (-.f64 (+.f64 15/2 (.f64 3/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))) (*.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (.f64 x x) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (.f64 (+.f64 (sqrt.f64 5) -1) (+.f64 3/2 (.f64 -3/4 (.f64 x x))))) (.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (.f64 x x) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (.f64 3/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))) (*.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (-.f64 (sqrt.f64 45/4) 3/2)) (.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (.f64 3/2 (-.f64 (sqrt.f64 5) 1))) (*.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (.f64 -1/2 (.f64 x x)))))) (-.f64 (+.f64 15/2 (.f64 3/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))) (.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (.f64 (+.f64 (sqrt.f64 5) -1) (+.f64 3/2 (.f64 -3/4 (.f64 x x))))) (*.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (+.f64 x x)))) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (.f64 3/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))) (*.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (.f64 (+.f64 (sqrt.f64 45/4) -3/2) (cos.f64 x))) (*.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (/.f64 (.f64 (cos.f64 x) 9) (+.f64 (sqrt.f64 45/4) 3/2))) (*.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (.f64 3/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))) (.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (-.f64 (+.f64 1 (.f64 (+.f64 (sqrt.f64 45/4) -3/2) (cos.f64 x))) 1)) (*.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (.f64 3/2 (/.f64 (.f64 (cos.f64 x) 4) (+.f64 1 (sqrt.f64 5))))) (.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2))))) (+.f64 (.f64 3/2 (-.f64 (sqrt.f64 5) 1)) (+.f64 3 (.f64 (cos.f64 y) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5)))))))
(/.f64 (+.f64 (.f64 -1/16 (.f64 (-.f64 1 (cos.f64 y)) (.f64 (sqrt.f64 2) (pow.f64 (sin.f64 y) 2)))) 2) (+.f64 3 (+.f64 (.f64 (cos.f64 y) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5)))) (.f64 (+.f64 (sqrt.f64 5) -1) (+.f64 3/2 (.f64 -3/4 (.f64 x x)))))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (sqrt.f64 (pow.f64 (+.f64 (cos.f64 x) -1) 2)))))) (-.f64 (+.f64 15/2 (.f64 3/2 (-.f64 (sqrt.f64 5) 1))) (*.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (pow.f64 (.f64 (+.f64 (sqrt.f64 45/4) -3/2) (cos.f64 x)) 1)) (*.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (.f64 3/2 (+.f64 (.f64 (sqrt.f64 5) (cos.f64 x)) (.f64 -1 (cos.f64 x))))) (*.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 (.f64 -1/16 (.f64 (-.f64 1 (cos.f64 y)) (.f64 (sqrt.f64 2) (pow.f64 (sin.f64 y) 2)))) 2) (+.f64 3 (+.f64 (.f64 (cos.f64 y) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5)))) (.f64 3/2 (*.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))))))

Outputs

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

(/.f64 (+.f64 2 (*.f64 -1/16 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (/.f64 (*.f64 (cos.f64 x) 9) (+.f64 (sqrt.f64 45/4) 3/2))) (*.f64 3/2 (sqrt.f64 5))))

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

Calls

2 calls:

69.0ms	y
66.0ms	x

Results

Error	Segments	Branch
12.7b	3	`x`
12.4b	3	`y`

Compiler

Compiled 715 to 579 computations (19% saved)

bsearch591.0ms (1.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
314.0ms	2.020873446567914e-20	2.3266751424168405e-17
276.0ms	-3.528826912836308	-0.02945898003373359

Compiler

Compiled 57 to 44 computations (22.8% saved)

regimes132.0ms (0.4%)

Counts

23 → 3

Calls

Call 1

Inputs
1/3
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (.f64 x x) (.f64 -1/2 (.f64 x x)))))) 6)
(+.f64 (.f64 1/192 (.f64 (sqrt.f64 2) (pow.f64 x 4))) 1/3)
(.f64 (.f64 (sqrt.f64 2) (.f64 x x)) (+.f64 (.f64 (cos.f64 x) -1/96) 1/96))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (.f64 x x) (-.f64 (cos.f64 x) 1))))) 6)
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (.f64 x x) (.f64 -1/2 (.f64 x x)))))) (-.f64 (+.f64 15/2 (.f64 3/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))) (*.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (.f64 x x) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (.f64 (+.f64 (sqrt.f64 5) -1) (+.f64 3/2 (.f64 -3/4 (.f64 x x))))) (.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (.f64 x x) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (.f64 3/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))) (*.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (-.f64 (sqrt.f64 45/4) 3/2)) (.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (.f64 3/2 (-.f64 (sqrt.f64 5) 1))) (*.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (.f64 -1/2 (.f64 x x)))))) (-.f64 (+.f64 15/2 (.f64 3/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))) (.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (.f64 (+.f64 (sqrt.f64 5) -1) (+.f64 3/2 (.f64 -3/4 (.f64 x x))))) (*.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (+.f64 x x)))) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (.f64 3/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))) (*.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (.f64 (+.f64 (sqrt.f64 45/4) -3/2) (cos.f64 x))) (*.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (/.f64 (.f64 (cos.f64 x) 9) (+.f64 (sqrt.f64 45/4) 3/2))) (*.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (.f64 3/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))) (.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (-.f64 (+.f64 1 (.f64 (+.f64 (sqrt.f64 45/4) -3/2) (cos.f64 x))) 1)) (*.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (.f64 3/2 (/.f64 (.f64 (cos.f64 x) 4) (+.f64 1 (sqrt.f64 5))))) (.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2))))) (+.f64 (.f64 3/2 (-.f64 (sqrt.f64 5) 1)) (+.f64 3 (.f64 (cos.f64 y) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5)))))))
(/.f64 (+.f64 (.f64 -1/16 (.f64 (-.f64 1 (cos.f64 y)) (.f64 (sqrt.f64 2) (pow.f64 (sin.f64 y) 2)))) 2) (+.f64 3 (+.f64 (.f64 (cos.f64 y) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5)))) (.f64 (+.f64 (sqrt.f64 5) -1) (+.f64 3/2 (.f64 -3/4 (.f64 x x)))))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (sqrt.f64 (pow.f64 (+.f64 (cos.f64 x) -1) 2)))))) (-.f64 (+.f64 15/2 (.f64 3/2 (-.f64 (sqrt.f64 5) 1))) (*.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (pow.f64 (.f64 (+.f64 (sqrt.f64 45/4) -3/2) (cos.f64 x)) 1)) (*.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (.f64 3/2 (+.f64 (.f64 (sqrt.f64 5) (cos.f64 x)) (.f64 -1 (cos.f64 x))))) (*.f64 3/2 (sqrt.f64 5))))

Outputs

(/.f64 (+.f64 2 (*.f64 -1/16 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (/.f64 (*.f64 (cos.f64 x) 9) (+.f64 (sqrt.f64 45/4) 3/2))) (*.f64 3/2 (sqrt.f64 5))))

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

(/.f64 (+.f64 2 (*.f64 -1/16 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (/.f64 (*.f64 (cos.f64 x) 9) (+.f64 (sqrt.f64 45/4) 3/2))) (*.f64 3/2 (sqrt.f64 5))))

Calls

2 calls:

45.0ms	y
42.0ms	x

Results

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

Compiler

Compiled 677 to 549 computations (18.9% saved)

bsearch362.0ms (1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
186.0ms	0.023423458314529057	5.99615348271337
175.0ms	-146.4844476593866	-2.1357499733153517e-9

Compiler

Compiled 57 to 44 computations (22.8% saved)

regimes107.0ms (0.3%)

Counts

19 → 3

Calls

Call 1

Inputs
1/3
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (.f64 x x) (.f64 -1/2 (.f64 x x)))))) 6)
(+.f64 (.f64 1/192 (.f64 (sqrt.f64 2) (pow.f64 x 4))) 1/3)
(.f64 (.f64 (sqrt.f64 2) (.f64 x x)) (+.f64 (.f64 (cos.f64 x) -1/96) 1/96))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (.f64 x x) (-.f64 (cos.f64 x) 1))))) 6)
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (.f64 x x) (.f64 -1/2 (.f64 x x)))))) (-.f64 (+.f64 15/2 (.f64 3/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))) (*.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (.f64 x x) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (.f64 (+.f64 (sqrt.f64 5) -1) (+.f64 3/2 (.f64 -3/4 (.f64 x x))))) (.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (.f64 x x) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (.f64 3/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))) (*.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (-.f64 (sqrt.f64 45/4) 3/2)) (.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (.f64 3/2 (-.f64 (sqrt.f64 5) 1))) (*.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (.f64 -1/2 (.f64 x x)))))) (-.f64 (+.f64 15/2 (.f64 3/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))) (.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (.f64 (+.f64 (sqrt.f64 5) -1) (+.f64 3/2 (.f64 -3/4 (.f64 x x))))) (*.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (+.f64 x x)))) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (.f64 3/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))) (*.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (.f64 (+.f64 (sqrt.f64 45/4) -3/2) (cos.f64 x))) (*.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (/.f64 (.f64 (cos.f64 x) 9) (+.f64 (sqrt.f64 45/4) 3/2))) (*.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (.f64 3/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))) (.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (-.f64 (+.f64 1 (.f64 (+.f64 (sqrt.f64 45/4) -3/2) (cos.f64 x))) 1)) (*.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (.f64 3/2 (/.f64 (.f64 (cos.f64 x) 4) (+.f64 1 (sqrt.f64 5))))) (.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2))))) (+.f64 (.f64 3/2 (-.f64 (sqrt.f64 5) 1)) (+.f64 3 (.f64 (cos.f64 y) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5)))))))

Outputs

(/.f64 (+.f64 2 (*.f64 -1/16 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (/.f64 (*.f64 (cos.f64 x) 9) (+.f64 (sqrt.f64 45/4) 3/2))) (*.f64 3/2 (sqrt.f64 5))))

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

(/.f64 (+.f64 2 (*.f64 -1/16 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (/.f64 (*.f64 (cos.f64 x) 9) (+.f64 (sqrt.f64 45/4) 3/2))) (*.f64 3/2 (sqrt.f64 5))))

Calls

2 calls:

60.0ms	x
30.0ms	y

Results

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

Compiler

Compiled 534 to 433 computations (18.9% saved)

bsearch382.0ms (1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
155.0ms	0.023423458314529057	5.99615348271337
226.0ms	-146.4844476593866	-2.1357499733153517e-9

Compiler

Compiled 57 to 44 computations (22.8% saved)

regimes37.0ms (0.1%)

Counts

18 → 1

Calls

Call 1

Inputs
1/3
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (.f64 x x) (.f64 -1/2 (.f64 x x)))))) 6)
(+.f64 (.f64 1/192 (.f64 (sqrt.f64 2) (pow.f64 x 4))) 1/3)
(.f64 (.f64 (sqrt.f64 2) (.f64 x x)) (+.f64 (.f64 (cos.f64 x) -1/96) 1/96))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (.f64 x x) (-.f64 (cos.f64 x) 1))))) 6)
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (.f64 x x) (.f64 -1/2 (.f64 x x)))))) (-.f64 (+.f64 15/2 (.f64 3/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))) (*.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (.f64 x x) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (.f64 (+.f64 (sqrt.f64 5) -1) (+.f64 3/2 (.f64 -3/4 (.f64 x x))))) (.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (.f64 x x) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (.f64 3/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))) (*.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (-.f64 (sqrt.f64 45/4) 3/2)) (.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (.f64 3/2 (-.f64 (sqrt.f64 5) 1))) (*.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (.f64 -1/2 (.f64 x x)))))) (-.f64 (+.f64 15/2 (.f64 3/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))) (.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (.f64 (+.f64 (sqrt.f64 5) -1) (+.f64 3/2 (.f64 -3/4 (.f64 x x))))) (*.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (+.f64 x x)))) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (.f64 3/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))) (*.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (.f64 (+.f64 (sqrt.f64 45/4) -3/2) (cos.f64 x))) (*.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (/.f64 (.f64 (cos.f64 x) 9) (+.f64 (sqrt.f64 45/4) 3/2))) (*.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (.f64 3/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))) (.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (-.f64 (+.f64 1 (.f64 (+.f64 (sqrt.f64 45/4) -3/2) (cos.f64 x))) 1)) (*.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (.f64 3/2 (/.f64 (.f64 (cos.f64 x) 4) (+.f64 1 (sqrt.f64 5))))) (.f64 3/2 (sqrt.f64 5))))

Outputs

(/.f64 (+.f64 2 (*.f64 -1/16 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (/.f64 (*.f64 (cos.f64 x) 9) (+.f64 (sqrt.f64 45/4) 3/2))) (*.f64 3/2 (sqrt.f64 5))))

Calls

2 calls:

11.0ms	x
9.0ms	y

Results

Error	Segments	Branch
26.5b	1	`x`
26.5b	1	`y`

Compiler

Compiled 499 to 402 computations (19.4% saved)

regimes55.0ms (0.1%)

Counts

14 → 1

Calls

Call 1

Inputs
1/3
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (.f64 x x) (.f64 -1/2 (.f64 x x)))))) 6)
(+.f64 (.f64 1/192 (.f64 (sqrt.f64 2) (pow.f64 x 4))) 1/3)
(.f64 (.f64 (sqrt.f64 2) (.f64 x x)) (+.f64 (.f64 (cos.f64 x) -1/96) 1/96))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (.f64 x x) (-.f64 (cos.f64 x) 1))))) 6)
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (.f64 x x) (.f64 -1/2 (.f64 x x)))))) (-.f64 (+.f64 15/2 (.f64 3/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))) (*.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (.f64 x x) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (.f64 (+.f64 (sqrt.f64 5) -1) (+.f64 3/2 (.f64 -3/4 (.f64 x x))))) (.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (.f64 x x) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (.f64 3/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))) (*.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (-.f64 (sqrt.f64 45/4) 3/2)) (.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (.f64 3/2 (-.f64 (sqrt.f64 5) 1))) (*.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (.f64 -1/2 (.f64 x x)))))) (-.f64 (+.f64 15/2 (.f64 3/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))) (.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (.f64 (+.f64 (sqrt.f64 5) -1) (+.f64 3/2 (.f64 -3/4 (.f64 x x))))) (*.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (+.f64 x x)))) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (.f64 3/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))) (*.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (.f64 (+.f64 (sqrt.f64 45/4) -3/2) (cos.f64 x))) (*.f64 3/2 (sqrt.f64 5))))

Outputs

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

Calls

2 calls:

18.0ms	y
17.0ms	x

Results

Error	Segments	Branch
26.5b	1	`x`
26.5b	1	`y`

Compiler

Compiled 363 to 290 computations (20.1% saved)

regimes48.0ms (0.1%)

Counts

12 → 1

Calls

Call 1

Inputs
1/3
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (.f64 x x) (.f64 -1/2 (.f64 x x)))))) 6)
(+.f64 (.f64 1/192 (.f64 (sqrt.f64 2) (pow.f64 x 4))) 1/3)
(.f64 (.f64 (sqrt.f64 2) (.f64 x x)) (+.f64 (.f64 (cos.f64 x) -1/96) 1/96))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (.f64 x x) (-.f64 (cos.f64 x) 1))))) 6)
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (.f64 x x) (.f64 -1/2 (.f64 x x)))))) (-.f64 (+.f64 15/2 (.f64 3/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))) (*.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (.f64 x x) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (.f64 (+.f64 (sqrt.f64 5) -1) (+.f64 3/2 (.f64 -3/4 (.f64 x x))))) (.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (.f64 x x) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (.f64 3/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))) (*.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (-.f64 (sqrt.f64 45/4) 3/2)) (.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (.f64 3/2 (-.f64 (sqrt.f64 5) 1))) (*.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (.f64 -1/2 (.f64 x x)))))) (-.f64 (+.f64 15/2 (.f64 3/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))) (.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (.f64 (+.f64 (sqrt.f64 5) -1) (+.f64 3/2 (.f64 -3/4 (.f64 x x))))) (*.f64 3/2 (sqrt.f64 5))))

Outputs
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (-.f64 (sqrt.f64 45/4) 3/2)) (.f64 3/2 (sqrt.f64 5))))

Calls

2 calls:

16.0ms	y
15.0ms	x

Results

Error	Segments	Branch
39.3b	1	`x`
39.3b	1	`y`

Compiler

Compiled 295 to 234 computations (20.7% saved)

regimes34.0ms (0.1%)

Accuracy

Total -23.6b remaining (-60%)

Threshold costs -23.6b (-60%)

Counts

8 → 1

Calls

Call 1

Inputs
1/3
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (.f64 x x) (.f64 -1/2 (.f64 x x)))))) 6)
(+.f64 (.f64 1/192 (.f64 (sqrt.f64 2) (pow.f64 x 4))) 1/3)
(.f64 (.f64 (sqrt.f64 2) (.f64 x x)) (+.f64 (.f64 (cos.f64 x) -1/96) 1/96))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (.f64 x x) (-.f64 (cos.f64 x) 1))))) 6)
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (.f64 x x) (.f64 -1/2 (.f64 x x)))))) (-.f64 (+.f64 15/2 (.f64 3/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))) (*.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (.f64 x x) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (.f64 (+.f64 (sqrt.f64 5) -1) (+.f64 3/2 (.f64 -3/4 (.f64 x x))))) (.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (.f64 x x) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (.f64 3/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))) (*.f64 3/2 (sqrt.f64 5))))

Outputs
1/3

Calls

2 calls:

13.0ms	x
12.0ms	y

Results

Error	Segments	Branch
39.3b	1	`x`
39.3b	1	`y`

Compiler

Compiled 167 to 127 computations (24% saved)

simplify224.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

61×	`+-commutative_binary64`
56×	`*-commutative_binary64`
22×	`sub-neg_binary64`
10×	`cancel-sign-sub-inv_binary64`
9×	`neg-sub0_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	193	2825
1	316	2825
2	356	2825
3	373	2825
4	383	2825
5	385	2825

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(/.f64 (+.f64 (.f64 (sqrt.f64 2) (.f64 (/.f64 (-.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 y) 2)) (+.f64 (cos.f64 x) (cos.f64 y))) (.f64 (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x)) (+.f64 (.f64 -1/16 (sin.f64 x)) (sin.f64 y))))) 2) (+.f64 3 (+.f64 (.f64 (cos.f64 y) (-.f64 9/2 (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 (cos.f64 y) (+.f64 9/2 (neg.f64 (sqrt.f64 45/4)))) (.f64 3/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))))))
(if (<=.f64 x -2576981655837447/17592186044416) (/.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 432086540849321600/18446744073709551616) (/.f64 (+.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x)) (+.f64 (.f64 -1/16 (sin.f64 x)) (sin.f64 y))))) 2) (+.f64 3 (+.f64 (.f64 (cos.f64 y) (/.f64 9 (+.f64 9/2 (sqrt.f64 45/4)))) (.f64 (+.f64 (sqrt.f64 5) -1) (+.f64 3/2 (.f64 -3/4 (.f64 x x))))))) (/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (sin.f64 x)) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (*.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))))
(if (<=.f64 x -2576981655837447/17592186044416) (/.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 432086540849321600/18446744073709551616) (/.f64 (+.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x)) (+.f64 (.f64 -1/16 (sin.f64 x)) (sin.f64 y))))) 2) (+.f64 3 (+.f64 (.f64 (cos.f64 y) (+.f64 9/2 (neg.f64 (sqrt.f64 45/4)))) (.f64 (+.f64 (sqrt.f64 5) -1) (+.f64 3/2 (.f64 -3/4 (.f64 x x))))))) (/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (sin.f64 x)) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (*.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))))
(if (<=.f64 x -2576981655837447/17592186044416) (/.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 432086540849321600/18446744073709551616) (/.f64 (+.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (.f64 (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x)) (+.f64 (.f64 -1/16 (sin.f64 x)) (sin.f64 y))))) 2) (+.f64 3 (+.f64 (.f64 (cos.f64 y) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5)))) (.f64 (+.f64 (sqrt.f64 5) -1) (+.f64 3/2 (.f64 -3/4 (.f64 x x))))))) (/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (sin.f64 x)) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))))
(if (<=.f64 x -2576981655837447/17592186044416) (/.f64 (+.f64 2 (.f64 (+.f64 1/16 (.f64 (cos.f64 x) -1/16)) (.f64 (sqrt.f64 2) (pow.f64 (sin.f64 x) 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))))) (if (<=.f64 x 432086540849321600/18446744073709551616) (/.f64 (+.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (.f64 (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x)) (+.f64 (.f64 -1/16 (sin.f64 x)) (sin.f64 y))))) 2) (+.f64 3 (+.f64 (.f64 (cos.f64 y) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5)))) (.f64 (+.f64 (sqrt.f64 5) -1) (+.f64 3/2 (.f64 -3/4 (.f64 x 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)))))))
(if (<=.f64 x -2576981655837447/17592186044416) (/.f64 (+.f64 2 (.f64 (+.f64 1/16 (.f64 (cos.f64 x) -1/16)) (.f64 (sqrt.f64 2) (pow.f64 (sin.f64 x) 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))))) (if (<=.f64 x 432086540849321600/18446744073709551616) (/.f64 (+.f64 (.f64 (.f64 (sqrt.f64 2) (-.f64 1 (cos.f64 y))) (+.f64 (.f64 -1/16 (pow.f64 (sin.f64 y) 2)) (.f64 (sin.f64 y) (.f64 x 257/256)))) 2) (+.f64 3 (+.f64 (.f64 (cos.f64 y) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5)))) (.f64 3/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))))) (/.f64 (+.f64 2 (.f64 (.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)))))))
(if (<=.f64 x -2576981655837447/17592186044416) (/.f64 (+.f64 2 (.f64 (+.f64 1/16 (.f64 (cos.f64 x) -1/16)) (.f64 (sqrt.f64 2) (pow.f64 (sin.f64 x) 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))))) (if (<=.f64 x 432086540849321600/18446744073709551616) (/.f64 (+.f64 (.f64 (.f64 (sqrt.f64 2) (-.f64 1 (cos.f64 y))) (+.f64 (.f64 -1/16 (pow.f64 (sin.f64 y) 2)) (.f64 (sin.f64 y) (.f64 x 257/256)))) 2) (+.f64 3 (+.f64 (.f64 (cos.f64 y) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5)))) (.f64 (+.f64 (sqrt.f64 5) -1) (+.f64 3/2 (.f64 -3/4 (.f64 x 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)))))))
(if (<=.f64 x -2576981655837447/17592186044416) (/.f64 (+.f64 2 (.f64 (+.f64 1/16 (.f64 (cos.f64 x) -1/16)) (.f64 (sqrt.f64 2) (pow.f64 (sin.f64 x) 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))))) (if (<=.f64 x 432086540849321600/18446744073709551616) (/.f64 (+.f64 (.f64 (.f64 (sqrt.f64 2) (-.f64 1 (cos.f64 y))) (+.f64 (.f64 -1/16 (pow.f64 (sin.f64 y) 2)) (.f64 (sin.f64 y) (.f64 x 257/256)))) 2) (+.f64 3 (+.f64 (.f64 (cos.f64 y) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5)))) (.f64 (+.f64 (sqrt.f64 5) -1) (+.f64 3/2 (.f64 -3/4 (.f64 x x))))))) (/.f64 (+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1)))) 2) (+.f64 3 (+.f64 (.f64 (cos.f64 y) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5)))) (.f64 3/2 (*.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))))))))
(if (<=.f64 x -2576981655837447/17592186044416) (/.f64 (+.f64 2 (.f64 (+.f64 1/16 (.f64 (cos.f64 x) -1/16)) (.f64 (sqrt.f64 2) (pow.f64 (sin.f64 x) 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))))) (if (<=.f64 x 432086540849321600/18446744073709551616) (/.f64 (+.f64 (.f64 -1/16 (.f64 (-.f64 1 (cos.f64 y)) (.f64 (sqrt.f64 2) (pow.f64 (sin.f64 y) 2)))) 2) (+.f64 3 (+.f64 (.f64 (cos.f64 y) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5)))) (.f64 (+.f64 (sqrt.f64 5) -1) (+.f64 3/2 (.f64 -3/4 (.f64 x x))))))) (/.f64 (+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1)))) 2) (+.f64 3 (+.f64 (.f64 (cos.f64 y) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5)))) (.f64 3/2 (*.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))))))))
(if (<=.f64 x -2576981655837447/17592186044416) (/.f64 (+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1)))) 2) (+.f64 3 (+.f64 (.f64 (cos.f64 y) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5)))) (.f64 3/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))))) (if (<=.f64 x 432086540849321600/18446744073709551616) (/.f64 (+.f64 (.f64 -1/16 (.f64 (-.f64 1 (cos.f64 y)) (.f64 (sqrt.f64 2) (pow.f64 (sin.f64 y) 2)))) 2) (+.f64 3 (+.f64 (.f64 (cos.f64 y) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5)))) (.f64 (+.f64 (sqrt.f64 5) -1) (+.f64 3/2 (.f64 -3/4 (.f64 x x))))))) (/.f64 (+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1)))) 2) (+.f64 3 (+.f64 (.f64 (cos.f64 y) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5)))) (.f64 3/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))))))))
(if (<=.f64 y -7946211784852287/2251799813685248) (/.f64 (+.f64 (.f64 -1/16 (.f64 (-.f64 1 (cos.f64 y)) (.f64 (sqrt.f64 2) (pow.f64 (sin.f64 y) 2)))) 2) (+.f64 3 (+.f64 (.f64 (cos.f64 y) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5)))) (.f64 3/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))))) (if (<=.f64 y 6876675996458044416/340282366920938463463374607431768211456) (/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (/.f64 (.f64 (cos.f64 x) 9) (+.f64 (sqrt.f64 45/4) 3/2))) (.f64 3/2 (sqrt.f64 5)))) (/.f64 (+.f64 (.f64 -1/16 (.f64 (-.f64 1 (cos.f64 y)) (.f64 (sqrt.f64 2) (pow.f64 (sin.f64 y) 2)))) 2) (+.f64 3 (+.f64 (.f64 (cos.f64 y) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5)))) (.f64 3/2 (*.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))))))))
(if (<=.f64 x -2576981655837447/17592186044416) (/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (/.f64 (.f64 (cos.f64 x) 9) (+.f64 (sqrt.f64 45/4) 3/2))) (.f64 3/2 (sqrt.f64 5)))) (if (<=.f64 x 432086540849321600/18446744073709551616) (/.f64 (+.f64 (.f64 -1/16 (.f64 (-.f64 1 (cos.f64 y)) (.f64 (sqrt.f64 2) (pow.f64 (sin.f64 y) 2)))) 2) (+.f64 3 (+.f64 (.f64 (cos.f64 y) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5)))) (.f64 (+.f64 (sqrt.f64 5) -1) (+.f64 3/2 (.f64 -3/4 (.f64 x x))))))) (/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (/.f64 (.f64 (cos.f64 x) 9) (+.f64 (sqrt.f64 45/4) 3/2))) (.f64 3/2 (sqrt.f64 5))))))
(if (<=.f64 x -2576981655837447/17592186044416) (/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (/.f64 (.f64 (cos.f64 x) 9) (+.f64 (sqrt.f64 45/4) 3/2))) (.f64 3/2 (sqrt.f64 5)))) (if (<=.f64 x 432086540849321600/18446744073709551616) (/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2))))) (+.f64 (.f64 3/2 (-.f64 (sqrt.f64 5) 1)) (+.f64 3 (.f64 (cos.f64 y) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5))))))) (/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (/.f64 (.f64 (cos.f64 x) 9) (+.f64 (sqrt.f64 45/4) 3/2))) (.f64 3/2 (sqrt.f64 5))))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (/.f64 (.f64 (cos.f64 x) 9) (+.f64 (sqrt.f64 45/4) 3/2))) (*.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (+.f64 x x)))) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (.f64 3/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))) (*.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (-.f64 (sqrt.f64 45/4) 3/2)) (.f64 3/2 (sqrt.f64 5))))
1/3

Outputs
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(/.f64 (+.f64 2 (.f64 (sqrt.f64 2) (.f64 (/.f64 (-.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 y) 2)) (+.f64 (cos.f64 x) (cos.f64 y))) (.f64 (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x)) (+.f64 (sin.f64 y) (.f64 -1/16 (sin.f64 x))))))) (+.f64 3 (+.f64 (.f64 3/2 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1))) (.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 (cos.f64 y) (+.f64 9/2 (neg.f64 (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 3/2 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1))) (.f64 (cos.f64 y) (-.f64 9/2 (sqrt.f64 45/4))))))
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(if (<=.f64 x -2576981655837447/17592186044416) (/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (/.f64 (.f64 (cos.f64 x) 9) (+.f64 (sqrt.f64 45/4) 3/2))) (.f64 3/2 (sqrt.f64 5)))) (if (<=.f64 x 432086540849321600/18446744073709551616) (/.f64 (+.f64 (.f64 -1/16 (.f64 (-.f64 1 (cos.f64 y)) (.f64 (sqrt.f64 2) (pow.f64 (sin.f64 y) 2)))) 2) (+.f64 3 (+.f64 (.f64 (cos.f64 y) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5)))) (.f64 (+.f64 (sqrt.f64 5) -1) (+.f64 3/2 (.f64 -3/4 (.f64 x x))))))) (/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (/.f64 (.f64 (cos.f64 x) 9) (+.f64 (sqrt.f64 45/4) 3/2))) (.f64 3/2 (sqrt.f64 5))))))
(if (<=.f64 x -2576981655837447/17592186044416) (/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1))))) (+.f64 (+.f64 15/2 (/.f64 (.f64 (cos.f64 x) 9) (+.f64 (sqrt.f64 45/4) 3/2))) (.f64 -3/2 (sqrt.f64 5)))) (if (<=.f64 x 3375676100385325/144115188075855872) (/.f64 (+.f64 2 (.f64 -1/16 (.f64 (-.f64 1 (cos.f64 y)) (.f64 (sqrt.f64 2) (pow.f64 (sin.f64 y) 2))))) (+.f64 3 (+.f64 (.f64 (+.f64 (sqrt.f64 5) -1) (+.f64 3/2 (.f64 -3/4 (.f64 x x)))) (.f64 (cos.f64 y) (+.f64 9/2 (.f64 -3/2 (sqrt.f64 5))))))) (/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1))))) (+.f64 (+.f64 15/2 (/.f64 (.f64 (cos.f64 x) 9) (+.f64 (sqrt.f64 45/4) 3/2))) (.f64 -3/2 (sqrt.f64 5))))))
(if (<=.f64 x -2576981655837447/17592186044416) (/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1))))) (+.f64 (+.f64 15/2 (/.f64 (.f64 (cos.f64 x) 9) (+.f64 (sqrt.f64 45/4) 3/2))) (.f64 (sqrt.f64 5) -3/2))) (if (<=.f64 x 3375676100385325/144115188075855872) (/.f64 (+.f64 2 (.f64 -1/16 (.f64 (-.f64 1 (cos.f64 y)) (.f64 (sqrt.f64 2) (pow.f64 (sin.f64 y) 2))))) (+.f64 3 (+.f64 (.f64 (+.f64 (sqrt.f64 5) -1) (+.f64 3/2 (.f64 -3/4 (.f64 x x)))) (.f64 (cos.f64 y) (+.f64 9/2 (.f64 (sqrt.f64 5) -3/2)))))) (/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1))))) (+.f64 (+.f64 15/2 (/.f64 (.f64 (cos.f64 x) 9) (+.f64 (sqrt.f64 45/4) 3/2))) (.f64 (sqrt.f64 5) -3/2)))))
(if (<=.f64 x -2576981655837447/17592186044416) (/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (/.f64 (.f64 (cos.f64 x) 9) (+.f64 (sqrt.f64 45/4) 3/2))) (.f64 3/2 (sqrt.f64 5)))) (if (<=.f64 x 432086540849321600/18446744073709551616) (/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2))))) (+.f64 (.f64 3/2 (-.f64 (sqrt.f64 5) 1)) (+.f64 3 (.f64 (cos.f64 y) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5))))))) (/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (/.f64 (.f64 (cos.f64 x) 9) (+.f64 (sqrt.f64 45/4) 3/2))) (.f64 3/2 (sqrt.f64 5))))))
(if (<=.f64 x -2576981655837447/17592186044416) (/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1))))) (+.f64 (+.f64 15/2 (/.f64 (.f64 (cos.f64 x) 9) (+.f64 (sqrt.f64 45/4) 3/2))) (.f64 -3/2 (sqrt.f64 5)))) (if (<=.f64 x 3375676100385325/144115188075855872) (/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2))))) (+.f64 (.f64 3/2 (+.f64 (sqrt.f64 5) -1)) (+.f64 3 (.f64 (cos.f64 y) (+.f64 9/2 (.f64 -3/2 (sqrt.f64 5))))))) (/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1))))) (+.f64 (+.f64 15/2 (/.f64 (.f64 (cos.f64 x) 9) (+.f64 (sqrt.f64 45/4) 3/2))) (.f64 -3/2 (sqrt.f64 5))))))
(if (<=.f64 x -2576981655837447/17592186044416) (/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1))))) (+.f64 (+.f64 15/2 (/.f64 (.f64 (cos.f64 x) 9) (+.f64 (sqrt.f64 45/4) 3/2))) (.f64 (sqrt.f64 5) -3/2))) (if (<=.f64 x 3375676100385325/144115188075855872) (/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2))))) (+.f64 (.f64 3/2 (+.f64 (sqrt.f64 5) -1)) (+.f64 3 (.f64 (cos.f64 y) (+.f64 9/2 (.f64 (sqrt.f64 5) -3/2)))))) (/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1))))) (+.f64 (+.f64 15/2 (/.f64 (.f64 (cos.f64 x) 9) (+.f64 (sqrt.f64 45/4) 3/2))) (.f64 (sqrt.f64 5) -3/2)))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (/.f64 (.f64 (cos.f64 x) 9) (+.f64 (sqrt.f64 45/4) 3/2))) (*.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1))))) (+.f64 (+.f64 15/2 (/.f64 (.f64 (cos.f64 x) 9) (+.f64 (sqrt.f64 45/4) 3/2))) (*.f64 -3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1))))) (+.f64 (+.f64 15/2 (/.f64 (.f64 (cos.f64 x) 9) (+.f64 (sqrt.f64 45/4) 3/2))) (*.f64 (sqrt.f64 5) -3/2)))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (+.f64 x x)))) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (.f64 3/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))) (*.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (+.f64 (cos.f64 x) -1) (+.f64 1/2 (.f64 -1/2 (cos.f64 (+.f64 x x)))))))) (+.f64 (+.f64 (.f64 3/2 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1))) 15/2) (*.f64 -3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (+.f64 (cos.f64 x) -1) (+.f64 1/2 (.f64 (cos.f64 (+.f64 x x)) -1/2)))))) (+.f64 (+.f64 (.f64 3/2 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1))) 15/2) (*.f64 (sqrt.f64 5) -3/2)))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (-.f64 (sqrt.f64 45/4) 3/2)) (.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1))))) (+.f64 (+.f64 15/2 (+.f64 (sqrt.f64 45/4) -3/2)) (.f64 -3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1))))) (+.f64 (+.f64 15/2 (+.f64 (sqrt.f64 45/4) -3/2)) (.f64 (sqrt.f64 5) -3/2)))
1/3

Compiler

Compiled 1827 to 1446 computations (20.9% saved)

soundness166.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 4 (0.0ms)

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

Stop Event

1×	node limit

Compiler

Compiled 2310 to 1758 computations (23.9% saved)

end1.7s (4.6%)

Compiler: Compiled 1793 to 1344 computations (25% saved)