Details

analyze450.0ms (1.3%)

Algorithm

1×

Search

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

Compiler

Compiled 53 to 41 computations (22.6% saved)

sample9.4s (27.2%)

Results

6.5s	3607×	body	1024	valid
1.5s	1404×	body	512	valid
1.4s	3229×	body	256	valid
34.0ms	16×	body	2048	valid

preprocess58.0ms (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

0.4b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	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) (/.f64 (+.f64 (sqrt.f64 5) -1) 2/3) (fma.f64 (cos.f64 y) (-.f64 9/2 (/.f64 (sqrt.f64 5) 2/3)) 3)))
▶	0.5b	(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))

Status

Error

Program

▶

0.5b

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

▶

0.5b

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

Compiler

Compiled 99 to 75 computations (24.2% saved)

localize103.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 269 to 178 computations (33.8% saved)

series41.0ms (0.1%)

Counts

4 → 56

Calls

18 calls:

Time	Variable		Point	Expression
7.0ms	y	@	inf	(/.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)))))
5.0ms	x	@	-inf	(/.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)))))
5.0ms	x	@	inf	(/.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)))))
4.0ms	y	@	-inf	(/.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)))))
4.0ms	y	@	inf	(*.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)))

rewrite63.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

408×	`add-sqr-sqrt_binary64`
396×	`*-un-lft-identity_binary64`
396×	`pow1_binary64`
383×	`add-cbrt-cube_binary64`
383×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	33	110
1	793	104

Stop Event

1×	node limit

Counts

4 → 67

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

simplify81.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

933×	`distribute-rgt-in_binary64`
932×	`distribute-lft-in_binary64`
281×	`times-frac_binary64`
239×	`associate-/l*_binary64`
215×	`associate-/r*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	225	3287
1	712	3089
2	2617	3052

Stop Event

1×	node limit

Counts

123 → 118

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

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

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)
	1.7b	(-.f64 (cos.f64 x) (cos.f64 y))

Compiler

Compiled 203 to 123 computations (39.4% saved)

series21.0ms (0.1%)

Counts

3 → 24

Calls

6 calls:

Time	Variable		Point	Expression
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)))
4.0ms	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)))

rewrite60.0ms (0.2%)

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))))))

simplify69.0ms (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 (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)))

eval270.0ms (0.8%)

Compiler: Compiled 15858 to 10856 computations (31.5% saved)

prune152.0ms (0.4%)

Pruning

44 alts after pruning (43 fresh and 1 done)

	Pruned	Kept	Total
New	206	43	249
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	207	44	251

Error

0.0b

Counts

251 → 44

Alt Table

Click to see full alt table

Status	Error	Program
▶	25.5b	(/.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))))
	31.3b	(/.f64 (+.f64 2 (.f64 (.f64 (exp.f64 (log.f64 (.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16))))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (*.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
	0.5b	(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (cbrt.f64 (pow.f64 (-.f64 (cos.f64 x) (cos.f64 y)) 3)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
▶	24.0b	(/.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 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
	30.6b	(+.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))))))))))
	0.9b	(cbrt.f64 (pow.f64 (/.f64 (fma.f64 (.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16))) (.f64 (-.f64 (sin.f64 y) (.f64 (sin.f64 x) 1/16)) (-.f64 (cos.f64 x) (cos.f64 y))) 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)))) 3))
▶	0.5b	(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (pow.f64 (cbrt.f64 (-.f64 (cos.f64 x) (cos.f64 y))) 3))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
	28.1b	(/.f64 (fma.f64 (.f64 (-.f64 1 (cos.f64 y)) (.f64 -1/16 (sqrt.f64 2))) (pow.f64 (sin.f64 y) 2) 2) (+.f64 3 (fma.f64 (fma.f64 (sqrt.f64 5) -3/2 9/2) (cos.f64 y) (fma.f64 3/2 (sqrt.f64 5) -3/2))))
	0.6b	(log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 (.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16))) (.f64 (-.f64 (sin.f64 y) (.f64 (sin.f64 x) 1/16)) (-.f64 (cos.f64 x) (cos.f64 y))) 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)))))))
	0.5b	(/.f64 (+.f64 2 (.f64 (.f64 (log.f64 (exp.f64 (.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16))))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (*.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
	0.5b	(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (/.f64 4 (+.f64 3 (sqrt.f64 5))) 2) (cos.f64 y)))))
	0.5b	(.f64 1/3 (/.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 1 (+.f64 (.f64 1/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))) (.f64 1/2 (.f64 (-.f64 3 (sqrt.f64 5)) (cos.f64 y)))))))
	24.0b	(/.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)))
▶	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)))
	28.1b	(/.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)))))))
	32.8b	(/.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)))))
	0.5b	(pow.f64 (/.f64 (.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))) (fma.f64 (.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16))) (.f64 (-.f64 (sin.f64 y) (*.f64 (sin.f64 x) 1/16)) (-.f64 (cos.f64 x) (cos.f64 y))) 2)) -1)
	25.7b	(/.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)))))
	1.0b	(.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)))))
	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)))) (.f64 3/2 (*.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))))))
▶	1.2b	(pow.f64 (cbrt.f64 (/.f64 (fma.f64 (.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16))) (.f64 (-.f64 (sin.f64 y) (.f64 (sin.f64 x) 1/16)) (-.f64 (cos.f64 x) (cos.f64 y))) 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))))) 3)
	28.1b	(.f64 1/3 (/.f64 (+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2)))) 2) (+.f64 1 (+.f64 (.f64 1/2 (.f64 (-.f64 3 (sqrt.f64 5)) (cos.f64 y))) (*.f64 1/2 (-.f64 (sqrt.f64 5) 1))))))
	25.9b	(/.f64 (+.f64 2 (.f64 (.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) (sin.f64 y))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (*.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
	0.5b	(pow.f64 (pow.f64 (/.f64 (fma.f64 (.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16))) (.f64 (-.f64 (sin.f64 y) (.f64 (sin.f64 x) 1/16)) (-.f64 (cos.f64 x) (cos.f64 y))) 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)))) 3) 1/3)
	9.2b	(/.f64 (+.f64 2 (.f64 (.f64 (-.f64 (exp.f64 (log1p.f64 (.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16))))) 1) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (*.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
	0.5b	(/.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) (.f64 (pow.f64 (cbrt.f64 (.f64 (+.f64 (sqrt.f64 5) -1) 3/2)) 2) (cbrt.f64 (*.f64 (+.f64 (sqrt.f64 5) -1) 3/2))) (fma.f64 (cos.f64 y) (-.f64 9/2 (/.f64 (sqrt.f64 5) 2/3)) 3)))
	0.5b	(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (fma.f64 (.f64 (cbrt.f64 (cos.f64 x)) (cbrt.f64 (cos.f64 x))) (cbrt.f64 (cos.f64 x)) (neg.f64 (cos.f64 y))))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (*.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
	0.6b	(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)))))
	1.3b	(.f64 (.f64 (cbrt.f64 (/.f64 (fma.f64 (.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16))) (.f64 (-.f64 (sin.f64 y) (.f64 (sin.f64 x) 1/16)) (-.f64 (cos.f64 x) (cos.f64 y))) 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))))) (cbrt.f64 (/.f64 (fma.f64 (.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16))) (.f64 (-.f64 (sin.f64 y) (.f64 (sin.f64 x) 1/16)) (-.f64 (cos.f64 x) (cos.f64 y))) 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)))))) (cbrt.f64 (/.f64 (fma.f64 (.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16))) (.f64 (-.f64 (sin.f64 y) (.f64 (sin.f64 x) 1/16)) (-.f64 (cos.f64 x) (cos.f64 y))) 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))))))
	25.4b	(.f64 1/3 (/.f64 (fma.f64 -1/16 (.f64 (sqrt.f64 2) (*.f64 (+.f64 (cos.f64 x) -1) (pow.f64 (sin.f64 x) 2))) 2) (fma.f64 1/2 (fma.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1) (-.f64 3 (sqrt.f64 5))) 1)))
✓	0.5b	(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
	0.5b	(.f64 1 (/.f64 (fma.f64 (.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16))) (.f64 (-.f64 (sin.f64 y) (.f64 (sin.f64 x) 1/16)) (-.f64 (cos.f64 x) (cos.f64 y))) 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)))))
	25.4b	(.f64 1/3 (/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (+.f64 1 (+.f64 (.f64 1/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))) (*.f64 1/2 (-.f64 3 (sqrt.f64 5)))))))
	30.7b	(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (+.f64 (sin.f64 x) (.f64 y -1/16))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (*.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
	0.5b	(/.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))) (pow.f64 (cbrt.f64 (-.f64 (cos.f64 x) (cos.f64 y))) 3))) 2) (fma.f64 (cos.f64 x) (/.f64 (+.f64 (sqrt.f64 5) -1) 2/3) (fma.f64 (cos.f64 y) (-.f64 9/2 (/.f64 (sqrt.f64 5) 2/3)) 3)))
	28.4b	(+.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)))))))
	0.5b	(.f64 (fma.f64 (.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16))) (.f64 (-.f64 (sin.f64 y) (.f64 (sin.f64 x) 1/16)) (-.f64 (cos.f64 x) (cos.f64 y))) 2) (/.f64 1 (.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)))))
	1.0b	(-.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 (.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16))) (.f64 (-.f64 (sin.f64 y) (.f64 (sin.f64 x) 1/16)) (-.f64 (cos.f64 x) (cos.f64 y))) 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)))))) 1)
	0.6b	(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (log.f64 (exp.f64 (-.f64 3 (sqrt.f64 5)))) 2) (cos.f64 y)))))
	0.5b	(.f64 1/3 (/.f64 (fma.f64 (sqrt.f64 2) (.f64 (+.f64 (sin.f64 x) (.f64 -1/16 (sin.f64 y))) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (+.f64 (sin.f64 y) (.f64 -1/16 (sin.f64 x))))) 2) (fma.f64 1/2 (fma.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1) (.f64 (cos.f64 y) (-.f64 3 (sqrt.f64 5)))) 1)))
	22.8b	(/.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)))))
	0.5b	(/.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) (/.f64 (+.f64 (sqrt.f64 5) -1) 2/3) (fma.f64 (cos.f64 y) (/.f64 9 (+.f64 9/2 (sqrt.f64 45/4))) 3)))
	0.6b	(expm1.f64 (log1p.f64 (/.f64 (fma.f64 (.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16))) (.f64 (-.f64 (sin.f64 y) (.f64 (sin.f64 x) 1/16)) (-.f64 (cos.f64 x) (cos.f64 y))) 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))))))
	1.4b	(.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)))))

Compiler

Compiled 4724 to 3692 computations (21.8% saved)

localize91.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 226 to 146 computations (35.4% saved)

series0.0ms (0%)

Counts: 2 → 0

rewrite55.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

728×	`pow1_binary64`
690×	`add-log-exp_binary64`
690×	`log1p-expm1-u_binary64`
690×	`expm1-log1p-u_binary64`
678×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	20
1	168	20
2	1860	20

Stop Event

1×	node limit

Counts

2 → 38

Calls

Call 1

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

Outputs

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

simplify7.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

38 → 38

Calls

Call 1

Inputs

Outputs

localize67.0ms (0.2%)

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))
✓	0.6b	(.f64 3/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))
✓	1.9b	(-.f64 (cos.f64 x) 1)

Compiler

Compiled 160 to 123 computations (23.1% saved)

series5.0ms (0%)

Counts

4 → 16

Calls

12 calls:

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

rewrite74.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

574×	`log-prod_binary64`
336×	`pow-prod-down_binary64`
333×	`pow2_binary64`
232×	`expm1-udef_binary64`
232×	`log1p-udef_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	14	37
1	300	37
2	3495	35

Stop Event

1×	node limit

Counts

4 → 108

Calls

Call 1

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

simplify193.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

752×	`distribute-lft-out_binary64`
640×	`associate-+r+_binary64`
504×	`distribute-lft-in_binary64`
504×	`distribute-rgt-in_binary64`
411×	`fma-def_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	65	374
1	175	372
2	522	324
3	1941	304
4	4741	299

Stop Event

1×	node limit

Counts

124 → 140

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 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 (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 1/24 (pow.f64 x 4) (fma.f64 1/40320 (pow.f64 x 8) (fma.f64 -1/720 (pow.f64 x 6) (.f64 -1/2 (.f64 x x)))))
(fma.f64 -1/2 (.f64 x x) (fma.f64 1/24 (pow.f64 x 4) (fma.f64 -1/720 (pow.f64 x 6) (.f64 1/40320 (pow.f64 x 8)))))
(fma.f64 1/24 (pow.f64 x 4) (fma.f64 -1/720 (pow.f64 x 6) (fma.f64 -1/2 (.f64 x x) (.f64 1/40320 (pow.f64 x 8)))))
(*.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 x x) (-.f64 (sqrt.f64 5) 1))))
(fma.f64 3/2 (+.f64 (sqrt.f64 5) -1) (.f64 (.f64 x x) (+.f64 (*.f64 (sqrt.f64 5) -3/4) 3/4)))
(.f64 (+.f64 (sqrt.f64 5) -1) (+.f64 3/2 (.f64 (*.f64 x x) -3/4)))
(.f64 (+.f64 (sqrt.f64 5) -1) (+.f64 3/2 (.f64 x (*.f64 x -3/4))))
(+.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 (pow.f64 x 4) (-.f64 (sqrt.f64 5) 1)) (.f64 -3/4 (.f64 (.f64 x x) (-.f64 (sqrt.f64 5) 1)))))
(fma.f64 3/2 (+.f64 (sqrt.f64 5) -1) (fma.f64 -3/4 (.f64 x (.f64 x (+.f64 (sqrt.f64 5) -1))) (.f64 (+.f64 (sqrt.f64 5) -1) (.f64 (pow.f64 x 4) 1/16))))
(fma.f64 (pow.f64 x 4) (fma.f64 (sqrt.f64 5) 1/16 -1/16) (.f64 (+.f64 (sqrt.f64 5) -1) (+.f64 3/2 (.f64 (*.f64 x x) -3/4))))
(.f64 (+.f64 (sqrt.f64 5) -1) (+.f64 3/2 (+.f64 (.f64 x (.f64 x -3/4)) (.f64 (pow.f64 x 4) 1/16))))
(+.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 (pow.f64 x 6) (-.f64 (sqrt.f64 5) 1)) (fma.f64 3/2 (-.f64 (sqrt.f64 5) 1) (fma.f64 1/16 (.f64 (pow.f64 x 4) (-.f64 (sqrt.f64 5) 1)) (.f64 -3/4 (.f64 (*.f64 x x) (-.f64 (sqrt.f64 5) 1))))))
(fma.f64 -1/480 (.f64 (pow.f64 x 6) (+.f64 (sqrt.f64 5) -1)) (fma.f64 3/2 (+.f64 (sqrt.f64 5) -1) (fma.f64 -3/4 (.f64 x (.f64 x (+.f64 (sqrt.f64 5) -1))) (.f64 (+.f64 (sqrt.f64 5) -1) (*.f64 (pow.f64 x 4) 1/16)))))
(+.f64 (.f64 (+.f64 (sqrt.f64 5) -1) (+.f64 (.f64 (.f64 x x) -3/4) (.f64 (pow.f64 x 4) 1/16))) (.f64 (+.f64 (sqrt.f64 5) -1) (+.f64 3/2 (.f64 (pow.f64 x 6) -1/480))))
(.f64 (+.f64 (sqrt.f64 5) -1) (+.f64 (+.f64 (.f64 x (.f64 x -3/4)) (.f64 (pow.f64 x 4) 1/16)) (+.f64 3/2 (*.f64 (pow.f64 x 6) -1/480))))
(.f64 (+.f64 (sqrt.f64 5) -1) (+.f64 (+.f64 (+.f64 3/2 (.f64 x (.f64 x -3/4))) (.f64 (pow.f64 x 6) -1/480)) (*.f64 (pow.f64 x 4) 1/16)))
(-.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 x (.f64 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 (+.f64 (sqrt.f64 5) (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 -1/2 (.f64 x (.f64 x (+.f64 (sqrt.f64 5) -1))) (.f64 1/24 (.f64 (pow.f64 x 4) (+.f64 (sqrt.f64 5) -1)))) (+.f64 (sqrt.f64 5) -1))
(+.f64 (sqrt.f64 5) (+.f64 (.f64 (+.f64 (sqrt.f64 5) -1) (fma.f64 1/24 (pow.f64 x 4) (.f64 -1/2 (*.f64 x x)))) -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 x (.f64 x (+.f64 (sqrt.f64 5) -1))) (.f64 1/24 (*.f64 (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 (+.f64 (sqrt.f64 5) -1) (.f64 (+.f64 (sqrt.f64 5) -1) (fma.f64 1/24 (pow.f64 x 4) (fma.f64 -1/2 (.f64 x x) (*.f64 -1/720 (pow.f64 x 6))))))
(.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 8) -1/315 (*.f64 (pow.f64 x 6) 2/45))))
(fma.f64 (pow.f64 x 4) -1/3 (fma.f64 (pow.f64 x 6) 2/45 (fma.f64 x x (*.f64 (pow.f64 x 8) -1/315))))

localize101.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(.f64 (.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16)))
	0.4b	(*.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)))
	1.0b	(-.f64 3 (sqrt.f64 5))
	1.9b	(-.f64 (cos.f64 x) 1)

Compiler

Compiled 265 to 185 computations (30.2% saved)

series14.0ms (0%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
9.0ms	x	@	0	(.f64 (.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16)))
2.0ms	y	@	0	(.f64 (.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16)))
1.0ms	x	@	-inf	(.f64 (.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16)))
1.0ms	y	@	-inf	(.f64 (.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16)))
1.0ms	y	@	inf	(.f64 (.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16)))

rewrite149.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

757×	`log-prod_binary64`
405×	`fma-def_binary64`
281×	`expm1-udef_binary64`
281×	`log1p-udef_binary64`
259×	`pow3_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	14	29
1	315	29
2	4307	25

Stop Event

1×	node limit

Counts

1 → 26

Calls

Call 1

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

Outputs

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

simplify64.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

988×	`unsub-neg_binary64`
459×	`associate-+l+_binary64`
409×	`associate-+r+_binary64`
406×	`distribute-lft-out_binary64`
380×	`fma-def_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	61	739
1	193	729
2	634	639
3	2922	612
4	6480	612

Stop Event

1×	node limit

Counts

50 → 45

Calls

Call 1

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

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

localize116.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.4b	(*.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)))
✓	0.6b	(pow.f64 (cbrt.f64 (-.f64 (cos.f64 x) (cos.f64 y))) 3)
	1.0b	(-.f64 3 (sqrt.f64 5))
	1.7b	(-.f64 (cos.f64 x) (cos.f64 y))

Compiler

Compiled 292 to 187 computations (36% saved)

series19.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

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

rewrite69.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

582×	`prod-diff_binary64`
414×	`log-prod_binary64`
316×	`exp-prod_binary64`
288×	`fma-def_binary64`
247×	`pow-prod-down_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	8
1	204	8
2	2491	8

Stop Event

1×	node limit

Counts

1 → 125

Calls

Call 1

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

Outputs

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

simplify77.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

832×	`fma-def_binary64`
459×	`associate-+l+_binary64`
426×	`distribute-rgt-in_binary64`
425×	`associate-+r+_binary64`
420×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	144	1108
1	499	1022
2	1763	981
3	7080	981

Stop Event

1×	node limit

Counts

149 → 143

Calls

Call 1

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

Outputs
(*.f64 (pow.f64 1 1/3) (-.f64 1 (cos.f64 y)))
(-.f64 1 (cos.f64 y))
(+.f64 (.f64 (+.f64 (.f64 -1/6 (pow.f64 1 1/3)) (.f64 -1/3 (pow.f64 1 1/3))) (pow.f64 x 2)) (.f64 (pow.f64 1 1/3) (-.f64 1 (cos.f64 y))))
(fma.f64 -1/2 (*.f64 x x) (-.f64 1 (cos.f64 y)))
(-.f64 (fma.f64 -1/2 (*.f64 x x) 1) (cos.f64 y))
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(+.f64 (.f64 (pow.f64 y 4) (+.f64 (.f64 1/18 (.f64 (pow.f64 1 1/3) (/.f64 1 (-.f64 (cos.f64 x) 1)))) (+.f64 (.f64 (pow.f64 (.f64 1 (-.f64 (cos.f64 x) 1)) 1/3) (+.f64 (.f64 1/36 (pow.f64 (/.f64 1 (pow.f64 (-.f64 (cos.f64 x) 1) 4)) 1/3)) (.f64 -2/3 (.f64 (pow.f64 (/.f64 1 (-.f64 (cos.f64 x) 1)) 1/3) (+.f64 1/24 (.f64 1/12 (/.f64 1 (-.f64 (cos.f64 x) 1)))))))) (.f64 -1/3 (.f64 (+.f64 1/24 (.f64 1/12 (/.f64 1 (-.f64 (cos.f64 x) 1)))) (pow.f64 1 1/3)))))) (+.f64 (.f64 (pow.f64 1 1/3) (-.f64 (cos.f64 x) 1)) (+.f64 (.f64 (+.f64 (.f64 1/6 (pow.f64 1 1/3)) (.f64 1/3 (pow.f64 1 1/3))) (pow.f64 y 2)) (.f64 (+.f64 (.f64 -1/9 (.f64 (/.f64 (+.f64 1/24 (.f64 1/12 (/.f64 1 (-.f64 (cos.f64 x) 1)))) (-.f64 (cos.f64 x) 1)) (pow.f64 1 1/3))) (+.f64 (.f64 1/3 (.f64 (pow.f64 1 1/3) (-.f64 1/720 (+.f64 (.f64 1/216 (/.f64 1 (pow.f64 (-.f64 (cos.f64 x) 1) 2))) (.f64 -1/3 (/.f64 (+.f64 1/24 (.f64 1/12 (/.f64 1 (-.f64 (cos.f64 x) 1)))) (-.f64 (cos.f64 x) 1))))))) (+.f64 (.f64 (pow.f64 (.f64 1 (-.f64 (cos.f64 x) 1)) 1/3) (+.f64 (.f64 -1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 (cos.f64 x) 1) 4)) 1/3) (+.f64 1/24 (.f64 1/12 (/.f64 1 (-.f64 (cos.f64 x) 1)))))) (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (-.f64 (cos.f64 x) 1)) 1/3) (-.f64 1/720 (+.f64 (.f64 1/216 (/.f64 1 (pow.f64 (-.f64 (cos.f64 x) 1) 2))) (.f64 -1/3 (/.f64 (+.f64 1/24 (.f64 1/12 (/.f64 1 (-.f64 (cos.f64 x) 1)))) (-.f64 (cos.f64 x) 1))))))))) (.f64 1/6 (.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 (cos.f64 x) 1) 2)) 1/3) (+.f64 (.f64 1/36 (pow.f64 (/.f64 1 (pow.f64 (-.f64 (cos.f64 x) 1) 4)) 1/3)) (.f64 -2/3 (.f64 (pow.f64 (/.f64 1 (-.f64 (cos.f64 x) 1)) 1/3) (+.f64 1/24 (*.f64 1/12 (/.f64 1 (-.f64 (cos.f64 x) 1)))))))))))) (pow.f64 y 6)))))
(fma.f64 (pow.f64 y 4) (fma.f64 1/18 (/.f64 1 (+.f64 (cos.f64 x) -1)) (fma.f64 (cbrt.f64 (+.f64 (cos.f64 x) -1)) (fma.f64 1/36 (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 (cos.f64 x) -1) 4))) (.f64 -2/3 (.f64 (cbrt.f64 (/.f64 1 (+.f64 (cos.f64 x) -1))) (+.f64 1/24 (/.f64 1/12 (+.f64 (cos.f64 x) -1)))))) (.f64 -1/3 (.f64 1 (+.f64 1/24 (/.f64 1/12 (+.f64 (cos.f64 x) -1))))))) (+.f64 (+.f64 (cos.f64 x) -1) (fma.f64 1/2 (.f64 y y) (.f64 (fma.f64 -1/9 (.f64 1 (/.f64 (+.f64 1/24 (/.f64 1/12 (+.f64 (cos.f64 x) -1))) (+.f64 (cos.f64 x) -1))) (+.f64 (.f64 1/3 (-.f64 1/720 (+.f64 (/.f64 1/216 (pow.f64 (+.f64 (cos.f64 x) -1) 2)) (.f64 -1/3 (/.f64 (+.f64 1/24 (/.f64 1/12 (+.f64 (cos.f64 x) -1))) (+.f64 (cos.f64 x) -1)))))) (fma.f64 (cbrt.f64 (+.f64 (cos.f64 x) -1)) (fma.f64 -1/9 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 (cos.f64 x) -1) 4))) (+.f64 1/24 (/.f64 1/12 (+.f64 (cos.f64 x) -1)))) (.f64 2/3 (.f64 (cbrt.f64 (/.f64 1 (+.f64 (cos.f64 x) -1))) (-.f64 1/720 (+.f64 (/.f64 1/216 (pow.f64 (+.f64 (cos.f64 x) -1) 2)) (.f64 -1/3 (/.f64 (+.f64 1/24 (/.f64 1/12 (+.f64 (cos.f64 x) -1))) (+.f64 (cos.f64 x) -1)))))))) (.f64 1/6 (.f64 (fma.f64 1/36 (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 (cos.f64 x) -1) 4))) (.f64 -2/3 (*.f64 (cbrt.f64 (/.f64 1 (+.f64 (cos.f64 x) -1))) (+.f64 1/24 (/.f64 1/12 (+.f64 (cos.f64 x) -1)))))) (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 (cos.f64 x) -1) 2)))))))) (pow.f64 y 6)))))
(+.f64 (fma.f64 (pow.f64 y 4) (+.f64 (/.f64 1/18 (+.f64 (cos.f64 x) -1)) (fma.f64 (cbrt.f64 (+.f64 (cos.f64 x) -1)) (fma.f64 1/36 (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 (cos.f64 x) -1) 4))) (.f64 (.f64 -2/3 (+.f64 1/24 (/.f64 1/12 (+.f64 (cos.f64 x) -1)))) (cbrt.f64 (/.f64 1 (+.f64 (cos.f64 x) -1))))) (+.f64 -1/72 (.f64 (/.f64 1/12 (+.f64 (cos.f64 x) -1)) -1/3)))) (fma.f64 1/2 (.f64 y y) (+.f64 (cos.f64 x) -1))) (.f64 (fma.f64 -1/9 (/.f64 (+.f64 1/24 (/.f64 1/12 (+.f64 (cos.f64 x) -1))) (+.f64 (cos.f64 x) -1)) (fma.f64 1/3 (-.f64 1/720 (fma.f64 -1/3 (/.f64 (+.f64 1/24 (/.f64 1/12 (+.f64 (cos.f64 x) -1))) (+.f64 (cos.f64 x) -1)) (/.f64 1/216 (pow.f64 (+.f64 (cos.f64 x) -1) 2)))) (fma.f64 (cbrt.f64 (+.f64 (cos.f64 x) -1)) (fma.f64 2/3 (.f64 (cbrt.f64 (/.f64 1 (+.f64 (cos.f64 x) -1))) (-.f64 1/720 (fma.f64 -1/3 (/.f64 (+.f64 1/24 (/.f64 1/12 (+.f64 (cos.f64 x) -1))) (+.f64 (cos.f64 x) -1)) (/.f64 1/216 (pow.f64 (+.f64 (cos.f64 x) -1) 2))))) (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 (cos.f64 x) -1) 4))) (.f64 (+.f64 1/24 (/.f64 1/12 (+.f64 (cos.f64 x) -1))) -1/9))) (.f64 (fma.f64 1/36 (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 (cos.f64 x) -1) 4))) (.f64 (.f64 -2/3 (+.f64 1/24 (/.f64 1/12 (+.f64 (cos.f64 x) -1)))) (cbrt.f64 (/.f64 1 (+.f64 (cos.f64 x) -1))))) (.f64 1/6 (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 (cos.f64 x) -1) 2)))))))) (pow.f64 y 6)))
(fma.f64 (pow.f64 y 4) (+.f64 (+.f64 -1/72 (/.f64 -1/36 (+.f64 (cos.f64 x) -1))) (fma.f64 (cbrt.f64 (+.f64 (cos.f64 x) -1)) (fma.f64 1/36 (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 (cos.f64 x) -1) 4))) (.f64 (cbrt.f64 (/.f64 1 (+.f64 (cos.f64 x) -1))) (+.f64 -1/36 (.f64 (/.f64 1/12 (+.f64 (cos.f64 x) -1)) -2/3)))) (/.f64 1/18 (+.f64 (cos.f64 x) -1)))) (fma.f64 y (.f64 y 1/2) (fma.f64 (fma.f64 1/3 (+.f64 1/720 (-.f64 (/.f64 -1/216 (pow.f64 (+.f64 (cos.f64 x) -1) 2)) (/.f64 (+.f64 -1/72 (/.f64 -1/36 (+.f64 (cos.f64 x) -1))) (+.f64 (cos.f64 x) -1)))) (fma.f64 -1/9 (/.f64 (+.f64 1/24 (/.f64 1/12 (+.f64 (cos.f64 x) -1))) (+.f64 (cos.f64 x) -1)) (fma.f64 (cbrt.f64 (+.f64 (cos.f64 x) -1)) (fma.f64 2/3 (.f64 (cbrt.f64 (/.f64 1 (+.f64 (cos.f64 x) -1))) (+.f64 1/720 (-.f64 (/.f64 -1/216 (pow.f64 (+.f64 (cos.f64 x) -1) 2)) (/.f64 (+.f64 -1/72 (/.f64 -1/36 (+.f64 (cos.f64 x) -1))) (+.f64 (cos.f64 x) -1))))) (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 (cos.f64 x) -1) 4))) (+.f64 -1/216 (.f64 (/.f64 1/12 (+.f64 (cos.f64 x) -1)) -1/9)))) (.f64 1/6 (.f64 (fma.f64 1/36 (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 (cos.f64 x) -1) 4))) (.f64 (cbrt.f64 (/.f64 1 (+.f64 (cos.f64 x) -1))) (+.f64 -1/36 (.f64 (/.f64 1/12 (+.f64 (cos.f64 x) -1)) -2/3)))) (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 (cos.f64 x) -1) 2)))))))) (pow.f64 y 6) (+.f64 (cos.f64 x) -1))))
(*.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (pow.f64 1 1/3))
(*.f64 1 (-.f64 (cos.f64 x) (cos.f64 y)))
(-.f64 (cos.f64 x) (cos.f64 y))
(*.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (pow.f64 1 1/3))
(*.f64 1 (-.f64 (cos.f64 x) (cos.f64 y)))
(-.f64 (cos.f64 x) (cos.f64 y))
(*.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (pow.f64 1 1/3))
(*.f64 1 (-.f64 (cos.f64 x) (cos.f64 y)))
(-.f64 (cos.f64 x) (cos.f64 y))
(*.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (pow.f64 1 1/3))
(*.f64 1 (-.f64 (cos.f64 x) (cos.f64 y)))
(-.f64 (cos.f64 x) (cos.f64 y))
(*.f64 (pow.f64 1 1/3) (-.f64 (cos.f64 x) (cos.f64 y)))
(*.f64 1 (-.f64 (cos.f64 x) (cos.f64 y)))
(-.f64 (cos.f64 x) (cos.f64 y))
(*.f64 (pow.f64 1 1/3) (-.f64 (cos.f64 x) (cos.f64 y)))
(*.f64 1 (-.f64 (cos.f64 x) (cos.f64 y)))
(-.f64 (cos.f64 x) (cos.f64 y))
(*.f64 (pow.f64 1 1/3) (-.f64 (cos.f64 x) (cos.f64 y)))
(*.f64 1 (-.f64 (cos.f64 x) (cos.f64 y)))
(-.f64 (cos.f64 x) (cos.f64 y))
(*.f64 (pow.f64 1 1/3) (-.f64 (cos.f64 x) (cos.f64 y)))
(*.f64 1 (-.f64 (cos.f64 x) (cos.f64 y)))
(-.f64 (cos.f64 x) (cos.f64 y))

localize248.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16)))
✓	0.8b	(pow.f64 (cbrt.f64 (/.f64 (fma.f64 (.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16))) (.f64 (-.f64 (sin.f64 y) (.f64 (sin.f64 x) 1/16)) (-.f64 (cos.f64 x) (cos.f64 y))) 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))))) 3)
✓	1.0b	(-.f64 3/2 (/.f64 (sqrt.f64 5) 2))
	1.7b	(-.f64 (cos.f64 x) (cos.f64 y))

Compiler

Compiled 309 to 200 computations (35.3% saved)

series238.0ms (0.7%)

Counts

3 → 48

Calls

12 calls:

Time	Variable		Point	Expression
171.0ms	x	@	0	(pow.f64 (cbrt.f64 (/.f64 (fma.f64 (.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16))) (.f64 (-.f64 (sin.f64 y) (.f64 (sin.f64 x) 1/16)) (-.f64 (cos.f64 x) (cos.f64 y))) 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))))) 3)
21.0ms	y	@	0	(pow.f64 (cbrt.f64 (/.f64 (fma.f64 (.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16))) (.f64 (-.f64 (sin.f64 y) (.f64 (sin.f64 x) 1/16)) (-.f64 (cos.f64 x) (cos.f64 y))) 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))))) 3)
17.0ms	x	@	-inf	(pow.f64 (cbrt.f64 (/.f64 (fma.f64 (.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16))) (.f64 (-.f64 (sin.f64 y) (.f64 (sin.f64 x) 1/16)) (-.f64 (cos.f64 x) (cos.f64 y))) 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))))) 3)
9.0ms	x	@	inf	(pow.f64 (cbrt.f64 (/.f64 (fma.f64 (.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16))) (.f64 (-.f64 (sin.f64 y) (.f64 (sin.f64 x) 1/16)) (-.f64 (cos.f64 x) (cos.f64 y))) 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))))) 3)
9.0ms	y	@	inf	(pow.f64 (cbrt.f64 (/.f64 (fma.f64 (.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16))) (.f64 (-.f64 (sin.f64 y) (.f64 (sin.f64 x) 1/16)) (-.f64 (cos.f64 x) (cos.f64 y))) 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))))) 3)

rewrite78.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

365×	`add-sqr-sqrt_binary64`
352×	`pow1_binary64`
351×	`*-un-lft-identity_binary64`
343×	`add-cbrt-cube_binary64`
343×	`add-log-exp_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	33	99
1	744	90

Stop Event

1×	node limit

Counts

3 → 71

Calls

Call 1

Inputs

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

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

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

Outputs

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

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simplify513.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

511×	`associate-r_binary64`
386×	`cancel-sign-sub-inv_binary64`
365×	`*-commutative_binary64`
358×	`associate-l_binary64`
302×	`fma-def_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	427	15495
1	1478	14946
2	5944	14702

Stop Event

1×	node limit

Counts

119 → 108

Calls

Call 1

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

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

eval2.1s (6.2%)

Compiler: Compiled 59238 to 43320 computations (26.9% saved)

prune357.0ms (1%)

Pruning

66 alts after pruning (63 fresh and 3 done)

	Pruned	Kept	Total
New	713	45	758
Fresh	20	18	38
Picked	1	0	1
Done	2	3	5
Total	736	66	802

Error

0.0b

Counts

802 → 66

Alt Table

Click to see full alt table

Status	Error	Program
✓	24.0b	(/.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 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
	25.4b	(.f64 1/3 (/.f64 (fma.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1))) 2) (+.f64 5/2 (fma.f64 (fma.f64 1/2 (sqrt.f64 5) -1/2) (cos.f64 x) (.f64 (sqrt.f64 5) -1/2)))))
	24.1b	(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (sin.f64 x)) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) 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)))))
	1.4b	(/.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 6 (+.f64 (sqrt.f64 5) 1))) 3) (fma.f64 (cos.f64 y) (-.f64 9/2 (/.f64 (sqrt.f64 5) 2/3)) 3)))
	25.5b	(/.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))))
	25.8b	(/.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 (pow.f64 (cbrt.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1))) 3))) (.f64 3/2 (sqrt.f64 5))))
	25.5b	(.f64 1/3 (.f64 (pow.f64 1 1/3) (/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 5/2 (.f64 (cos.f64 x) (-.f64 (.f64 1/2 (sqrt.f64 5)) 1/2))) (.f64 1/2 (sqrt.f64 5))))))
	0.5b	(.f64 (fma.f64 (.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16))) (.f64 (-.f64 (sin.f64 y) (.f64 (sin.f64 x) 1/16)) (-.f64 (cos.f64 x) (cos.f64 y))) 2) (/.f64 1 (.f64 3 (fma.f64 (cos.f64 y) (-.f64 3/2 (sqrt.f64 5/4)) (fma.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) -1/2) 1)))))
	25.5b	(/.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))))
	24.1b	(/.f64 (+.f64 2 (.f64 (.f64 (pow.f64 (sin.f64 x) 2) (.f64 -1/16 (sqrt.f64 2))) (-.f64 (cos.f64 x) 1))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
	0.6b	(expm1.f64 (log1p.f64 (/.f64 (fma.f64 (.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16))) (.f64 (-.f64 (sin.f64 y) (.f64 (sin.f64 x) 1/16)) (-.f64 (cos.f64 x) (cos.f64 y))) 2) (*.f64 3 (fma.f64 (cos.f64 y) (-.f64 3/2 (sqrt.f64 5/4)) (fma.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) -1/2) 1))))))
	1.4b	(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (.f64 3 (fma.f64 (cos.f64 y) (-.f64 3/2 (sqrt.f64 5/4)) (fma.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) -1/2) 1)))) 2)) (/.f64 (fma.f64 (.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16))) (.f64 (-.f64 (sin.f64 y) (.f64 (sin.f64 x) 1/16)) (-.f64 (cos.f64 x) (cos.f64 y))) 2) (cbrt.f64 (*.f64 3 (fma.f64 (cos.f64 y) (-.f64 3/2 (sqrt.f64 5/4)) (fma.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) -1/2) 1))))))
	1.0b	(-.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 (.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16))) (.f64 (-.f64 (sin.f64 y) (.f64 (sin.f64 x) 1/16)) (-.f64 (cos.f64 x) (cos.f64 y))) 2) (*.f64 3 (fma.f64 (cos.f64 y) (-.f64 3/2 (sqrt.f64 5/4)) (fma.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) -1/2) 1)))))) 1)
	0.5b	(.f64 1/3 (/.f64 (fma.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))))) 2) (+.f64 1 (fma.f64 (cos.f64 y) (+.f64 3/2 (.f64 (sqrt.f64 5) -1/2)) (*.f64 (fma.f64 1/2 (sqrt.f64 5) -1/2) (cos.f64 x))))))
	27.5b	(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (+.f64 (sin.f64 x) (.f64 y -1/16))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) 1))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (*.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
	44.0b	(/.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))))
✓	0.5b	(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (pow.f64 (cbrt.f64 (-.f64 (cos.f64 x) (cos.f64 y))) 3))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
	0.6b	(cbrt.f64 (/.f64 (pow.f64 (fma.f64 (.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16))) (.f64 (-.f64 (sin.f64 y) (.f64 (sin.f64 x) 1/16)) (-.f64 (cos.f64 x) (cos.f64 y))) 2) 3) (pow.f64 (*.f64 3 (fma.f64 (cos.f64 y) (-.f64 3/2 (sqrt.f64 5/4)) (fma.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) -1/2) 1))) 3)))
	0.6b	(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 (cos.f64 x) (cos.f64 y))) 3)) 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)))))
	23.9b	(/.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) (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)))
	28.1b	(/.f64 (fma.f64 (.f64 (-.f64 1 (cos.f64 y)) (.f64 -1/16 (sqrt.f64 2))) (pow.f64 (sin.f64 y) 2) 2) (+.f64 3 (fma.f64 (fma.f64 (sqrt.f64 5) -3/2 9/2) (cos.f64 y) (fma.f64 3/2 (sqrt.f64 5) -3/2))))
	0.5b	(/.f64 (+.f64 2 (.f64 (.f64 (log.f64 (exp.f64 (.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16))))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (*.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
	0.5b	(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (/.f64 4 (+.f64 3 (sqrt.f64 5))) 2) (cos.f64 y)))))
	0.5b	(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (cbrt.f64 (pow.f64 (-.f64 (cos.f64 x) (cos.f64 y)) 3)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
	0.5b	(.f64 1/3 (/.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 1 (+.f64 (.f64 1/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))) (.f64 1/2 (.f64 (-.f64 3 (sqrt.f64 5)) (cos.f64 y)))))))
	24.0b	(/.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)))
	0.6b	(/.f64 (+.f64 2 (.f64 (.f64 (log1p.f64 (expm1.f64 (.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16))))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (pow.f64 (cbrt.f64 (-.f64 (cos.f64 x) (cos.f64 y))) 3))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (*.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
▶	0.4b	(/.f64 (fma.f64 (sqrt.f64 2) (.f64 (+.f64 (sin.f64 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 (neg.f64 (sqrt.f64 45/4))) 3)))
	28.1b	(/.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)))))))
	25.5b	(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (pow.f64 (sin.f64 x) 4)) (-.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))))
	0.6b	(log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 (.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16))) (.f64 (-.f64 (sin.f64 y) (.f64 (sin.f64 x) 1/16)) (-.f64 (cos.f64 x) (cos.f64 y))) 2) (*.f64 3 (fma.f64 (cos.f64 y) (-.f64 3/2 (sqrt.f64 5/4)) (fma.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) -1/2) 1)))))))
	0.8b	(.f64 (/.f64 (sqrt.f64 (fma.f64 (.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16))) (.f64 (-.f64 (sin.f64 y) (.f64 (sin.f64 x) 1/16)) (-.f64 (cos.f64 x) (cos.f64 y))) 2)) 1) (/.f64 (sqrt.f64 (fma.f64 (.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16))) (.f64 (-.f64 (sin.f64 y) (.f64 (sin.f64 x) 1/16)) (-.f64 (cos.f64 x) (cos.f64 y))) 2)) (.f64 3 (fma.f64 (cos.f64 y) (-.f64 3/2 (sqrt.f64 5/4)) (fma.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) -1/2) 1)))))
	32.8b	(/.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)))))
	35.4b	(/.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)))))
	25.7b	(/.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)))))
	37.1b	(/.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))))
▶	24.0b	(/.f64 (+.f64 2 (.f64 (log.f64 (+.f64 1 (expm1.f64 (.f64 (sqrt.f64 2) (.f64 (fma.f64 (sin.f64 y) -1/16 (sin.f64 x)) (fma.f64 (sin.f64 x) -1/16 (sin.f64 y))))))) (-.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)))))
	1.2b	(pow.f64 (cbrt.f64 (/.f64 (fma.f64 (.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16))) (.f64 (-.f64 (sin.f64 y) (.f64 (sin.f64 x) 1/16)) (-.f64 (cos.f64 x) (cos.f64 y))) 2) (*.f64 3 (fma.f64 (cos.f64 y) (+.f64 3/2 (neg.f64 (sqrt.f64 5/4))) (fma.f64 (cos.f64 x) (-.f64 (/.f64 (sqrt.f64 5) 2) 1/2) 1))))) 3)
	24.0b	(/.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 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (/.f64 4 (+.f64 3 (sqrt.f64 5))) 2) (cos.f64 y)))))
	1.0b	(.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)))))
▶	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)))) (.f64 3/2 (*.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))))))
	28.1b	(.f64 1/3 (/.f64 (+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2)))) 2) (+.f64 1 (+.f64 (.f64 1/2 (.f64 (-.f64 3 (sqrt.f64 5)) (cos.f64 y))) (*.f64 1/2 (-.f64 (sqrt.f64 5) 1))))))
	25.9b	(/.f64 (+.f64 2 (.f64 (.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) (sin.f64 y))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (*.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
	44.2b	(/.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 x (.f64 x -3/4))))) (*.f64 3/2 (sqrt.f64 5))))
	9.2b	(/.f64 (+.f64 2 (.f64 (.f64 (-.f64 (exp.f64 (log1p.f64 (.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16))))) 1) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (*.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
	25.5b	(/.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))))
	29.5b	(/.f64 (+.f64 2 (.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 -1/16 (pow.f64 (sin.f64 x) 2)) (.f64 y (+.f64 (.f64 (sin.f64 x) 257/256) (.f64 -1/16 y))))) (-.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)))))
	1.1b	(/.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 (+.f64 1 (cbrt.f64 (+.f64 (*.f64 (sqrt.f64 5) 3/2) -3/2))) 1) 3) (fma.f64 (cos.f64 y) (-.f64 9/2 (/.f64 (sqrt.f64 5) 2/3)) 3)))
	25.5b	(/.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 (+.f64 (pow.f64 5 3/2) -1) (cos.f64 x)) (+.f64 6 (sqrt.f64 5))))) (.f64 3/2 (sqrt.f64 5))))
▶	44.0b	(/.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))))
	0.6b	(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)))))
	38.6b	(/.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 (.f64 3/2 (-.f64 (sqrt.f64 5) 1))) (*.f64 3/2 (sqrt.f64 5))))
	0.5b	(/.f64 (/.f64 (fma.f64 (.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16))) (.f64 (-.f64 (sin.f64 y) (.f64 (sin.f64 x) 1/16)) (-.f64 (cos.f64 x) (cos.f64 y))) 2) 3) (fma.f64 (cos.f64 y) (-.f64 3/2 (sqrt.f64 5/4)) (fma.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) -1/2) 1)))
	28.1b	(.f64 1/3 (.f64 (pow.f64 (.f64 1 (.f64 (pow.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2))))) 2) (+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2)))) 2))) 1/3) (/.f64 1 (+.f64 1/2 (+.f64 (.f64 1/2 (sqrt.f64 5)) (.f64 (-.f64 3/2 (*.f64 1/2 (sqrt.f64 5))) (cos.f64 y)))))))
✓	0.5b	(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
	25.4b	(.f64 1/3 (/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (+.f64 1 (+.f64 (.f64 1/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))) (*.f64 1/2 (-.f64 3 (sqrt.f64 5)))))))
	0.5b	(.f64 1/3 (/.f64 (fma.f64 (.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16))) (.f64 (-.f64 (sin.f64 y) (*.f64 (sin.f64 x) 1/16)) (-.f64 (cos.f64 x) (cos.f64 y))) 2) (fma.f64 (cos.f64 y) (-.f64 3/2 (sqrt.f64 5/4)) (fma.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) -1/2) 1))))
	30.7b	(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (+.f64 (sin.f64 x) (.f64 y -1/16))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (*.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
	1.3b	(pow.f64 (cbrt.f64 (/.f64 (fma.f64 (.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16))) (.f64 (-.f64 (sin.f64 y) (.f64 (sin.f64 x) 1/16)) (-.f64 (cos.f64 x) (cos.f64 y))) 2) (*.f64 3 (fma.f64 (cos.f64 y) (pow.f64 (cbrt.f64 (-.f64 3/2 (sqrt.f64 5/4))) 3) (fma.f64 (cos.f64 x) (-.f64 (/.f64 (sqrt.f64 5) 2) 1/2) 1))))) 3)
▶	27.3b	(/.f64 (+.f64 2 (.f64 (.f64 (sin.f64 x) (.f64 (sqrt.f64 2) (+.f64 (.f64 -1/16 (sin.f64 x)) (.f64 y 257/256)))) (-.f64 (cos.f64 x) 1))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
	35.4b	(/.f64 (+.f64 2 (.f64 (.f64 (sqrt.f64 2) (.f64 -1/16 (pow.f64 (sin.f64 y) 2))) (-.f64 (cos.f64 x) 1))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
	25.9b	(/.f64 (+.f64 2 (.f64 (.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) (sin.f64 y))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (pow.f64 (cbrt.f64 (-.f64 (cos.f64 x) (cos.f64 y))) 3))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (*.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
	0.5b	(/.f64 1 (.f64 3 (/.f64 (fma.f64 (cos.f64 y) (-.f64 3/2 (sqrt.f64 5/4)) (fma.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) -1/2) 1)) (fma.f64 (.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16))) (.f64 (-.f64 (sin.f64 y) (*.f64 (sin.f64 x) 1/16)) (-.f64 (cos.f64 x) (cos.f64 y))) 2))))
	25.7b	(/.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 1 (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)))
	0.6b	(/.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)))))
	22.8b	(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (sin.f64 x)) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))

Compiler

Compiled 6158 to 4950 computations (19.6% saved)

localize102.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	1.0b	(*.f64 (+.f64 (sqrt.f64 5) -1) 3/2)
✓	1.0b	(+.f64 9/2 (neg.f64 (sqrt.f64 45/4)))
	1.0b	(cbrt.f64 (*.f64 (+.f64 (sqrt.f64 5) -1) 3/2))
	1.7b	(-.f64 (cos.f64 x) (cos.f64 y))

Compiler

Compiled 223 to 143 computations (35.9% saved)

series0.0ms (0%)

Counts: 1 → 0

rewrite44.0ms (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

localize66.0ms (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))
	0.6b	(.f64 3/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))
	1.9b	(-.f64 (cos.f64 x) 1)

Compiler

Compiled 152 to 111 computations (27% saved)

series5.0ms (0%)

Counts

1 → 4

Calls

3 calls:

Time

Variable

Point

Expression

4.0ms

inf

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

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)))

rewrite91.0ms (0.3%)

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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 15/2 (-.f64 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 45/4) -3/2)) (sqrt.f64 45/4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 15/2 (*.f64 (-.f64 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 45/4) -3/2)) (sqrt.f64 45/4)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.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 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 45/4) -3/2)) (+.f64 15/2 (neg.f64 (sqrt.f64 45/4))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (cos.f64 x) (+.f64 (sqrt.f64 45/4) -3/2) 15/2) (neg.f64 (sqrt.f64 45/4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (cos.f64 x) (+.f64 (sqrt.f64 45/4) -3/2) 15/2) (*.f64 (neg.f64 (sqrt.f64 45/4)) 1))))) (#(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 -3/2 (sqrt.f64 5) (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 (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 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(+.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))))))

simplify48.0ms (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)))))

localize103.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(.f64 (sin.f64 x) (.f64 (sqrt.f64 2) (+.f64 (.f64 -1/16 (sin.f64 x)) (.f64 y 257/256))))
✓	0.4b	(.f64 (sqrt.f64 2) (+.f64 (.f64 -1/16 (sin.f64 x)) (*.f64 y 257/256)))
	1.0b	(-.f64 3 (sqrt.f64 5))
	1.9b	(-.f64 (cos.f64 x) 1)

Compiler

Compiled 242 to 182 computations (24.8% saved)

series31.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
21.0ms	y	@	0	(.f64 (sin.f64 x) (.f64 (sqrt.f64 2) (+.f64 (.f64 -1/16 (sin.f64 x)) (.f64 y 257/256))))
4.0ms	x	@	0	(.f64 (sqrt.f64 2) (+.f64 (.f64 -1/16 (sin.f64 x)) (*.f64 y 257/256)))
1.0ms	x	@	-inf	(.f64 (sin.f64 x) (.f64 (sqrt.f64 2) (+.f64 (.f64 -1/16 (sin.f64 x)) (.f64 y 257/256))))
1.0ms	x	@	inf	(.f64 (sin.f64 x) (.f64 (sqrt.f64 2) (+.f64 (.f64 -1/16 (sin.f64 x)) (.f64 y 257/256))))
1.0ms	x	@	inf	(.f64 (sqrt.f64 2) (+.f64 (.f64 -1/16 (sin.f64 x)) (*.f64 y 257/256)))

rewrite83.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

664×	`log-prod_binary64`
377×	`fma-def_binary64`
349×	`pow2_binary64`
246×	`pow1/3_binary64`
240×	`expm1-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	35
1	280	35
2	3619	35

Stop Event

1×	node limit

Counts

2 → 105

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -1/16 (*.f64 (sqrt.f64 2) (sin.f64 x))) (*.f64 (sqrt.f64 2) (*.f64 y 257/256)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 2) (*.f64 y 257/256)) (*.f64 -1/16 (*.f64 (sqrt.f64 2) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (sqrt.f64 2) (fma.f64 -1/16 (sin.f64 x) (*.f64 y 257/256))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 -1/16 (*.f64 (sqrt.f64 2) (sin.f64 x))) 1) (*.f64 (*.f64 (sqrt.f64 2) (*.f64 y 257/256)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 2)) (fma.f64 -1/16 (sin.f64 x) (*.f64 y 257/256)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 2)) (fma.f64 -1/16 (sin.f64 x) (*.f64 y 257/256))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 2)) (fma.f64 -1/16 (sin.f64 x) (*.f64 y 257/256))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 2)) (fma.f64 -1/16 (sin.f64 x) (*.f64 y 257/256))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 2) (fma.f64 -1/16 (sin.f64 x) (*.f64 y 257/256))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 -1/16 (*.f64 (sqrt.f64 2) (sin.f64 x))) 3) (pow.f64 (*.f64 (sqrt.f64 2) (*.f64 y 257/256)) 3)) (+.f64 (pow.f64 (*.f64 -1/16 (*.f64 (sqrt.f64 2) (sin.f64 x))) 2) (-.f64 (pow.f64 (*.f64 (sqrt.f64 2) (*.f64 y 257/256)) 2) (*.f64 (*.f64 -1/16 (*.f64 (sqrt.f64 2) (sin.f64 x))) (*.f64 (sqrt.f64 2) (*.f64 y 257/256))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 -1/16 (*.f64 (sqrt.f64 2) (sin.f64 x))) 2) (pow.f64 (*.f64 (sqrt.f64 2) (*.f64 y 257/256)) 2)) (-.f64 (*.f64 -1/16 (*.f64 (sqrt.f64 2) (sin.f64 x))) (*.f64 (sqrt.f64 2) (*.f64 y 257/256))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 (pow.f64 y 3) 16974593/16777216 (*.f64 (pow.f64 (sin.f64 x) 3) -1/4096)) (sqrt.f64 2)) (fma.f64 (*.f64 y 257/256) (-.f64 (*.f64 y 257/256) (*.f64 -1/16 (sin.f64 x))) (*.f64 (pow.f64 (sin.f64 x) 2) 1/256)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (sin.f64 x) 2) 1/256) (pow.f64 (*.f64 y 257/256) 2)) (sqrt.f64 2)) (fma.f64 -1/16 (sin.f64 x) (*.f64 -257/256 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 2) (fma.f64 (pow.f64 y 3) 16974593/16777216 (*.f64 (pow.f64 (sin.f64 x) 3) -1/4096))) (fma.f64 (*.f64 y 257/256) (-.f64 (*.f64 y 257/256) (*.f64 -1/16 (sin.f64 x))) (*.f64 (pow.f64 (sin.f64 x) 2) 1/256)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 2) (-.f64 (*.f64 (pow.f64 (sin.f64 x) 2) 1/256) (pow.f64 (*.f64 y 257/256) 2))) (fma.f64 -1/16 (sin.f64 x) (*.f64 -257/256 y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 2) (fma.f64 -1/16 (sin.f64 x) (*.f64 y 257/256))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 2 (pow.f64 (fma.f64 -1/16 (sin.f64 x) (*.f64 y 257/256)) 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sqrt.f64 2) (fma.f64 -1/16 (sin.f64 x) (*.f64 y 257/256))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 2) (fma.f64 -1/16 (sin.f64 x) (*.f64 y 257/256)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 2) (fma.f64 -1/16 (sin.f64 x) (*.f64 y 257/256)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 2 3/2) (pow.f64 (fma.f64 -1/16 (sin.f64 x) (*.f64 y 257/256)) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (fma.f64 -1/16 (sin.f64 x) (*.f64 y 257/256)) 3) (pow.f64 2 3/2)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 2 (pow.f64 (fma.f64 -1/16 (sin.f64 x) (*.f64 y 257/256)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (sqrt.f64 2)) (fma.f64 -1/16 (sin.f64 x) (*.f64 y 257/256))))))) (#(struct:change #<rule 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simplify180.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

992×	`distribute-lft-out_binary64`
750×	`unswap-sqr_binary64`
508×	`sqr-pow_binary64`
448×	`*-commutative_binary64`
340×	`fma-def_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	63	891
1	181	891
2	483	862
3	1437	843
4	2206	843
5	3636	843
6	5553	843
7	5744	843
8	5945	843
9	6161	843
10	6438	843
11	6839	843
12	7361	843

Stop Event

1×	node limit

Counts

153 → 132

Calls

Call 1

Inputs
(.f64 257/256 (.f64 (sqrt.f64 2) y))
(+.f64 (.f64 257/256 (.f64 (sqrt.f64 2) y)) (.f64 -1/16 (.f64 (sqrt.f64 2) x)))
(+.f64 (.f64 257/256 (.f64 (sqrt.f64 2) y)) (+.f64 (.f64 1/96 (.f64 (sqrt.f64 2) (pow.f64 x 3))) (.f64 -1/16 (.f64 (sqrt.f64 2) x))))
(+.f64 (.f64 -1/1920 (.f64 (sqrt.f64 2) (pow.f64 x 5))) (+.f64 (.f64 257/256 (.f64 (sqrt.f64 2) y)) (+.f64 (.f64 1/96 (.f64 (sqrt.f64 2) (pow.f64 x 3))) (.f64 -1/16 (.f64 (sqrt.f64 2) x)))))
(.f64 (sqrt.f64 2) (+.f64 (.f64 257/256 y) (*.f64 -1/16 (sin.f64 x))))
(.f64 (sqrt.f64 2) (+.f64 (.f64 257/256 y) (*.f64 -1/16 (sin.f64 x))))
(.f64 (sqrt.f64 2) (+.f64 (.f64 257/256 y) (*.f64 -1/16 (sin.f64 x))))
(.f64 (sqrt.f64 2) (+.f64 (.f64 257/256 y) (*.f64 -1/16 (sin.f64 x))))
(.f64 (sqrt.f64 2) (+.f64 (.f64 257/256 y) (*.f64 -1/16 (sin.f64 x))))
(.f64 (sqrt.f64 2) (+.f64 (.f64 257/256 y) (*.f64 -1/16 (sin.f64 x))))
(.f64 (sqrt.f64 2) (+.f64 (.f64 257/256 y) (*.f64 -1/16 (sin.f64 x))))
(.f64 (sqrt.f64 2) (+.f64 (.f64 257/256 y) (*.f64 -1/16 (sin.f64 x))))
(.f64 -1/16 (.f64 (sqrt.f64 2) (sin.f64 x)))
(+.f64 (.f64 257/256 (.f64 (sqrt.f64 2) y)) (.f64 -1/16 (.f64 (sqrt.f64 2) (sin.f64 x))))
(+.f64 (.f64 257/256 (.f64 (sqrt.f64 2) y)) (.f64 -1/16 (.f64 (sqrt.f64 2) (sin.f64 x))))
(+.f64 (.f64 257/256 (.f64 (sqrt.f64 2) y)) (.f64 -1/16 (.f64 (sqrt.f64 2) (sin.f64 x))))
(.f64 257/256 (.f64 (sqrt.f64 2) y))
(+.f64 (.f64 257/256 (.f64 (sqrt.f64 2) y)) (.f64 -1/16 (.f64 (sqrt.f64 2) (sin.f64 x))))
(+.f64 (.f64 257/256 (.f64 (sqrt.f64 2) y)) (.f64 -1/16 (.f64 (sqrt.f64 2) (sin.f64 x))))
(+.f64 (.f64 257/256 (.f64 (sqrt.f64 2) y)) (.f64 -1/16 (.f64 (sqrt.f64 2) (sin.f64 x))))
(.f64 257/256 (.f64 (sqrt.f64 2) y))
(+.f64 (.f64 257/256 (.f64 (sqrt.f64 2) y)) (.f64 -1/16 (.f64 (sqrt.f64 2) (sin.f64 x))))
(+.f64 (.f64 257/256 (.f64 (sqrt.f64 2) y)) (.f64 -1/16 (.f64 (sqrt.f64 2) (sin.f64 x))))
(+.f64 (.f64 257/256 (.f64 (sqrt.f64 2) y)) (.f64 -1/16 (.f64 (sqrt.f64 2) (sin.f64 x))))
(.f64 257/256 (.f64 (sqrt.f64 2) (*.f64 y x)))
(+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) (pow.f64 x 2))) (.f64 257/256 (.f64 (sqrt.f64 2) (*.f64 y x))))
(+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) (pow.f64 x 2))) (+.f64 (.f64 257/256 (.f64 (sqrt.f64 2) (.f64 y x))) (.f64 -257/1536 (.f64 (sqrt.f64 2) (.f64 y (pow.f64 x 3))))))
(+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) (pow.f64 x 2))) (+.f64 (.f64 257/256 (.f64 (sqrt.f64 2) (.f64 y x))) (+.f64 (.f64 1/48 (.f64 (sqrt.f64 2) (pow.f64 x 4))) (.f64 -257/1536 (.f64 (sqrt.f64 2) (.f64 y (pow.f64 x 3)))))))
(.f64 (sqrt.f64 2) (.f64 (sin.f64 x) (+.f64 (.f64 257/256 y) (.f64 -1/16 (sin.f64 x)))))
(.f64 (sqrt.f64 2) (.f64 (sin.f64 x) (+.f64 (.f64 257/256 y) (.f64 -1/16 (sin.f64 x)))))
(.f64 (sqrt.f64 2) (.f64 (sin.f64 x) (+.f64 (.f64 257/256 y) (.f64 -1/16 (sin.f64 x)))))
(.f64 (sqrt.f64 2) (.f64 (sin.f64 x) (+.f64 (.f64 257/256 y) (.f64 -1/16 (sin.f64 x)))))
(.f64 (sqrt.f64 2) (.f64 (sin.f64 x) (+.f64 (.f64 257/256 y) (.f64 -1/16 (sin.f64 x)))))
(.f64 (sqrt.f64 2) (.f64 (sin.f64 x) (+.f64 (.f64 257/256 y) (.f64 -1/16 (sin.f64 x)))))
(.f64 (sqrt.f64 2) (.f64 (sin.f64 x) (+.f64 (.f64 257/256 y) (.f64 -1/16 (sin.f64 x)))))
(.f64 (sqrt.f64 2) (.f64 (sin.f64 x) (+.f64 (.f64 257/256 y) (.f64 -1/16 (sin.f64 x)))))
(.f64 -1/16 (.f64 (sqrt.f64 2) (pow.f64 (sin.f64 x) 2)))
(+.f64 (.f64 257/256 (.f64 (sqrt.f64 2) (.f64 y (sin.f64 x)))) (.f64 -1/16 (*.f64 (sqrt.f64 2) (pow.f64 (sin.f64 x) 2))))
(+.f64 (.f64 257/256 (.f64 (sqrt.f64 2) (.f64 y (sin.f64 x)))) (.f64 -1/16 (*.f64 (sqrt.f64 2) (pow.f64 (sin.f64 x) 2))))
(+.f64 (.f64 257/256 (.f64 (sqrt.f64 2) (.f64 y (sin.f64 x)))) (.f64 -1/16 (*.f64 (sqrt.f64 2) (pow.f64 (sin.f64 x) 2))))
(.f64 257/256 (.f64 (sqrt.f64 2) (*.f64 y (sin.f64 x))))
(+.f64 (.f64 257/256 (.f64 (sqrt.f64 2) (.f64 y (sin.f64 x)))) (.f64 -1/16 (*.f64 (sqrt.f64 2) (pow.f64 (sin.f64 x) 2))))
(+.f64 (.f64 257/256 (.f64 (sqrt.f64 2) (.f64 y (sin.f64 x)))) (.f64 -1/16 (*.f64 (sqrt.f64 2) (pow.f64 (sin.f64 x) 2))))
(+.f64 (.f64 257/256 (.f64 (sqrt.f64 2) (.f64 y (sin.f64 x)))) (.f64 -1/16 (*.f64 (sqrt.f64 2) (pow.f64 (sin.f64 x) 2))))
(.f64 257/256 (.f64 (sqrt.f64 2) (*.f64 y (sin.f64 x))))
(+.f64 (.f64 257/256 (.f64 (sqrt.f64 2) (.f64 y (sin.f64 x)))) (.f64 -1/16 (*.f64 (sqrt.f64 2) (pow.f64 (sin.f64 x) 2))))
(+.f64 (.f64 257/256 (.f64 (sqrt.f64 2) (.f64 y (sin.f64 x)))) (.f64 -1/16 (*.f64 (sqrt.f64 2) (pow.f64 (sin.f64 x) 2))))
(+.f64 (.f64 257/256 (.f64 (sqrt.f64 2) (.f64 y (sin.f64 x)))) (.f64 -1/16 (*.f64 (sqrt.f64 2) (pow.f64 (sin.f64 x) 2))))

Outputs
(.f64 257/256 (.f64 (sqrt.f64 2) y))
(+.f64 (.f64 257/256 (.f64 (sqrt.f64 2) y)) (.f64 -1/16 (.f64 (sqrt.f64 2) x)))
(fma.f64 257/256 (.f64 (sqrt.f64 2) y) (.f64 -1/16 (*.f64 (sqrt.f64 2) x)))
(fma.f64 257/256 (.f64 (sqrt.f64 2) y) (.f64 (sqrt.f64 2) (*.f64 x -1/16)))
(.f64 (sqrt.f64 2) (+.f64 (.f64 257/256 y) (*.f64 -1/16 x)))
(+.f64 (.f64 257/256 (.f64 (sqrt.f64 2) y)) (+.f64 (.f64 1/96 (.f64 (sqrt.f64 2) (pow.f64 x 3))) (.f64 -1/16 (.f64 (sqrt.f64 2) x))))
(fma.f64 257/256 (.f64 (sqrt.f64 2) y) (fma.f64 1/96 (.f64 (sqrt.f64 2) (pow.f64 x 3)) (.f64 -1/16 (.f64 (sqrt.f64 2) x))))
(fma.f64 257/256 (.f64 (sqrt.f64 2) y) (fma.f64 1/96 (.f64 (sqrt.f64 2) (pow.f64 x 3)) (.f64 (sqrt.f64 2) (.f64 x -1/16))))
(fma.f64 257/256 (.f64 (sqrt.f64 2) y) (.f64 (sqrt.f64 2) (+.f64 (.f64 -1/16 x) (.f64 1/96 (pow.f64 x 3)))))
(.f64 (sqrt.f64 2) (+.f64 (+.f64 (.f64 -1/16 x) (.f64 1/96 (pow.f64 x 3))) (.f64 257/256 y)))
(.f64 (sqrt.f64 2) (+.f64 (.f64 -1/16 x) (+.f64 (.f64 257/256 y) (.f64 1/96 (pow.f64 x 3)))))
(+.f64 (.f64 -1/1920 (.f64 (sqrt.f64 2) (pow.f64 x 5))) (+.f64 (.f64 257/256 (.f64 (sqrt.f64 2) y)) (+.f64 (.f64 1/96 (.f64 (sqrt.f64 2) (pow.f64 x 3))) (.f64 -1/16 (.f64 (sqrt.f64 2) x)))))
(fma.f64 -1/1920 (.f64 (sqrt.f64 2) (pow.f64 x 5)) (fma.f64 257/256 (.f64 (sqrt.f64 2) y) (fma.f64 1/96 (.f64 (sqrt.f64 2) (pow.f64 x 3)) (.f64 -1/16 (*.f64 (sqrt.f64 2) x)))))
(fma.f64 -1/1920 (.f64 (sqrt.f64 2) (pow.f64 x 5)) (fma.f64 257/256 (.f64 (sqrt.f64 2) y) (fma.f64 1/96 (.f64 (sqrt.f64 2) (pow.f64 x 3)) (.f64 (sqrt.f64 2) (*.f64 x -1/16)))))
(+.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 -1/16 x) (.f64 1/96 (pow.f64 x 3)))) (.f64 (sqrt.f64 2) (+.f64 (.f64 -1/1920 (pow.f64 x 5)) (.f64 257/256 y))))
(.f64 (sqrt.f64 2) (+.f64 (+.f64 (.f64 -1/16 x) (.f64 1/96 (pow.f64 x 3))) (+.f64 (.f64 257/256 y) (*.f64 -1/1920 (pow.f64 x 5)))))
(.f64 (sqrt.f64 2) (+.f64 (.f64 -1/1920 (pow.f64 x 5)) (+.f64 (.f64 -1/16 x) (+.f64 (.f64 257/256 y) (*.f64 1/96 (pow.f64 x 3))))))
(.f64 (sqrt.f64 2) (+.f64 (.f64 257/256 y) (*.f64 -1/16 (sin.f64 x))))
(.f64 (sqrt.f64 2) (fma.f64 257/256 y (.f64 -1/16 (sin.f64 x))))
(.f64 (sqrt.f64 2) (+.f64 (.f64 257/256 y) (*.f64 -1/16 (sin.f64 x))))
(.f64 (sqrt.f64 2) (fma.f64 257/256 y (.f64 -1/16 (sin.f64 x))))
(.f64 (sqrt.f64 2) (+.f64 (.f64 257/256 y) (*.f64 -1/16 (sin.f64 x))))
(.f64 (sqrt.f64 2) (fma.f64 257/256 y (.f64 -1/16 (sin.f64 x))))
(.f64 (sqrt.f64 2) (+.f64 (.f64 257/256 y) (*.f64 -1/16 (sin.f64 x))))
(.f64 (sqrt.f64 2) (fma.f64 257/256 y (.f64 -1/16 (sin.f64 x))))
(.f64 (sqrt.f64 2) (+.f64 (.f64 257/256 y) (*.f64 -1/16 (sin.f64 x))))
(.f64 (sqrt.f64 2) (fma.f64 257/256 y (.f64 -1/16 (sin.f64 x))))
(.f64 (sqrt.f64 2) (+.f64 (.f64 257/256 y) (*.f64 -1/16 (sin.f64 x))))
(.f64 (sqrt.f64 2) (fma.f64 257/256 y (.f64 -1/16 (sin.f64 x))))
(.f64 (sqrt.f64 2) (+.f64 (.f64 257/256 y) (*.f64 -1/16 (sin.f64 x))))
(.f64 (sqrt.f64 2) (fma.f64 257/256 y (.f64 -1/16 (sin.f64 x))))
(.f64 (sqrt.f64 2) (+.f64 (.f64 257/256 y) (*.f64 -1/16 (sin.f64 x))))
(.f64 (sqrt.f64 2) (fma.f64 257/256 y (.f64 -1/16 (sin.f64 x))))
(.f64 -1/16 (.f64 (sqrt.f64 2) (sin.f64 x)))
(.f64 (sqrt.f64 2) (.f64 -1/16 (sin.f64 x)))
(+.f64 (.f64 257/256 (.f64 (sqrt.f64 2) y)) (.f64 -1/16 (.f64 (sqrt.f64 2) (sin.f64 x))))
(.f64 (sqrt.f64 2) (fma.f64 257/256 y (.f64 -1/16 (sin.f64 x))))
(+.f64 (.f64 257/256 (.f64 (sqrt.f64 2) y)) (.f64 -1/16 (.f64 (sqrt.f64 2) (sin.f64 x))))
(.f64 (sqrt.f64 2) (fma.f64 257/256 y (.f64 -1/16 (sin.f64 x))))
(+.f64 (.f64 257/256 (.f64 (sqrt.f64 2) y)) (.f64 -1/16 (.f64 (sqrt.f64 2) (sin.f64 x))))
(.f64 (sqrt.f64 2) (fma.f64 257/256 y (.f64 -1/16 (sin.f64 x))))
(.f64 257/256 (.f64 (sqrt.f64 2) y))
(+.f64 (.f64 257/256 (.f64 (sqrt.f64 2) y)) (.f64 -1/16 (.f64 (sqrt.f64 2) (sin.f64 x))))
(.f64 (sqrt.f64 2) (fma.f64 257/256 y (.f64 -1/16 (sin.f64 x))))
(+.f64 (.f64 257/256 (.f64 (sqrt.f64 2) y)) (.f64 -1/16 (.f64 (sqrt.f64 2) (sin.f64 x))))
(.f64 (sqrt.f64 2) (fma.f64 257/256 y (.f64 -1/16 (sin.f64 x))))
(+.f64 (.f64 257/256 (.f64 (sqrt.f64 2) y)) (.f64 -1/16 (.f64 (sqrt.f64 2) (sin.f64 x))))
(.f64 (sqrt.f64 2) (fma.f64 257/256 y (.f64 -1/16 (sin.f64 x))))
(.f64 257/256 (.f64 (sqrt.f64 2) y))
(+.f64 (.f64 257/256 (.f64 (sqrt.f64 2) y)) (.f64 -1/16 (.f64 (sqrt.f64 2) (sin.f64 x))))
(.f64 (sqrt.f64 2) (fma.f64 257/256 y (.f64 -1/16 (sin.f64 x))))
(+.f64 (.f64 257/256 (.f64 (sqrt.f64 2) y)) (.f64 -1/16 (.f64 (sqrt.f64 2) (sin.f64 x))))
(.f64 (sqrt.f64 2) (fma.f64 257/256 y (.f64 -1/16 (sin.f64 x))))
(+.f64 (.f64 257/256 (.f64 (sqrt.f64 2) y)) (.f64 -1/16 (.f64 (sqrt.f64 2) (sin.f64 x))))
(.f64 (sqrt.f64 2) (fma.f64 257/256 y (.f64 -1/16 (sin.f64 x))))
(.f64 257/256 (.f64 (sqrt.f64 2) (*.f64 y x)))
(.f64 (.f64 (sqrt.f64 2) y) (*.f64 x 257/256))
(.f64 (sqrt.f64 2) (.f64 257/256 (*.f64 y x)))
(+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) (pow.f64 x 2))) (.f64 257/256 (.f64 (sqrt.f64 2) (*.f64 y x))))
(fma.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 x x)) (.f64 257/256 (.f64 (sqrt.f64 2) (*.f64 y x))))
(fma.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 x x)) (.f64 (.f64 (sqrt.f64 2) y) (*.f64 x 257/256)))
(.f64 x (.f64 (sqrt.f64 2) (+.f64 (.f64 257/256 y) (.f64 -1/16 x))))
(.f64 (sqrt.f64 2) (.f64 x (+.f64 (.f64 257/256 y) (.f64 -1/16 x))))
(+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) (pow.f64 x 2))) (+.f64 (.f64 257/256 (.f64 (sqrt.f64 2) (.f64 y x))) (.f64 -257/1536 (.f64 (sqrt.f64 2) (.f64 y (pow.f64 x 3))))))
(fma.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 x x)) (fma.f64 257/256 (.f64 (sqrt.f64 2) (.f64 y x)) (.f64 -257/1536 (.f64 (sqrt.f64 2) (*.f64 y (pow.f64 x 3))))))
(fma.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 x x)) (fma.f64 -257/1536 (.f64 (.f64 (sqrt.f64 2) y) (pow.f64 x 3)) (.f64 (.f64 (sqrt.f64 2) y) (*.f64 x 257/256))))
(fma.f64 (sqrt.f64 2) (.f64 y (.f64 (pow.f64 x 3) -257/1536)) (.f64 x (.f64 (sqrt.f64 2) (+.f64 (.f64 257/256 y) (.f64 -1/16 x)))))
(.f64 (sqrt.f64 2) (+.f64 (.f64 -1/16 (.f64 x x)) (.f64 (.f64 y x) (+.f64 257/256 (.f64 (*.f64 x x) -257/1536)))))
(.f64 (sqrt.f64 2) (+.f64 (.f64 257/256 (.f64 y x)) (.f64 (.f64 x x) (+.f64 -1/16 (.f64 (*.f64 y x) -257/1536)))))
(+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) (pow.f64 x 2))) (+.f64 (.f64 257/256 (.f64 (sqrt.f64 2) (.f64 y x))) (+.f64 (.f64 1/48 (.f64 (sqrt.f64 2) (pow.f64 x 4))) (.f64 -257/1536 (.f64 (sqrt.f64 2) (.f64 y (pow.f64 x 3)))))))
(fma.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 x x)) (fma.f64 257/256 (.f64 (sqrt.f64 2) (.f64 y x)) (fma.f64 1/48 (.f64 (sqrt.f64 2) (pow.f64 x 4)) (.f64 -257/1536 (.f64 (sqrt.f64 2) (.f64 y (pow.f64 x 3)))))))
(fma.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 x x)) (fma.f64 257/256 (.f64 (sqrt.f64 2) (.f64 y x)) (fma.f64 -257/1536 (.f64 (.f64 (sqrt.f64 2) y) (pow.f64 x 3)) (.f64 (sqrt.f64 2) (.f64 (pow.f64 x 4) 1/48)))))
(+.f64 (.f64 x (.f64 (sqrt.f64 2) (+.f64 (.f64 257/256 y) (.f64 -1/16 x)))) (.f64 (sqrt.f64 2) (+.f64 (.f64 y (.f64 (pow.f64 x 3) -257/1536)) (.f64 1/48 (pow.f64 x 4)))))
(.f64 (sqrt.f64 2) (+.f64 (.f64 x (+.f64 (.f64 257/256 y) (.f64 -1/16 x))) (.f64 (pow.f64 x 3) (+.f64 (.f64 x 1/48) (*.f64 y -257/1536)))))
(.f64 (sqrt.f64 2) (+.f64 (.f64 (pow.f64 x 3) (+.f64 (.f64 y -257/1536) (.f64 x 1/48))) (.f64 x (+.f64 (.f64 257/256 y) (*.f64 -1/16 x)))))
(.f64 (sqrt.f64 2) (.f64 (sin.f64 x) (+.f64 (.f64 257/256 y) (.f64 -1/16 (sin.f64 x)))))
(.f64 (sqrt.f64 2) (.f64 (sin.f64 x) (fma.f64 257/256 y (*.f64 -1/16 (sin.f64 x)))))
(.f64 (sqrt.f64 2) (.f64 (sin.f64 x) (+.f64 (.f64 257/256 y) (.f64 -1/16 (sin.f64 x)))))
(.f64 (sqrt.f64 2) (.f64 (sin.f64 x) (fma.f64 257/256 y (*.f64 -1/16 (sin.f64 x)))))
(.f64 (sqrt.f64 2) (.f64 (sin.f64 x) (+.f64 (.f64 257/256 y) (.f64 -1/16 (sin.f64 x)))))
(.f64 (sqrt.f64 2) (.f64 (sin.f64 x) (fma.f64 257/256 y (*.f64 -1/16 (sin.f64 x)))))
(.f64 (sqrt.f64 2) (.f64 (sin.f64 x) (+.f64 (.f64 257/256 y) (.f64 -1/16 (sin.f64 x)))))
(.f64 (sqrt.f64 2) (.f64 (sin.f64 x) (fma.f64 257/256 y (*.f64 -1/16 (sin.f64 x)))))
(.f64 (sqrt.f64 2) (.f64 (sin.f64 x) (+.f64 (.f64 257/256 y) (.f64 -1/16 (sin.f64 x)))))
(.f64 (sqrt.f64 2) (.f64 (sin.f64 x) (fma.f64 257/256 y (*.f64 -1/16 (sin.f64 x)))))
(.f64 (sqrt.f64 2) (.f64 (sin.f64 x) (+.f64 (.f64 257/256 y) (.f64 -1/16 (sin.f64 x)))))
(.f64 (sqrt.f64 2) (.f64 (sin.f64 x) (fma.f64 257/256 y (*.f64 -1/16 (sin.f64 x)))))
(.f64 (sqrt.f64 2) (.f64 (sin.f64 x) (+.f64 (.f64 257/256 y) (.f64 -1/16 (sin.f64 x)))))
(.f64 (sqrt.f64 2) (.f64 (sin.f64 x) (fma.f64 257/256 y (*.f64 -1/16 (sin.f64 x)))))
(.f64 (sqrt.f64 2) (.f64 (sin.f64 x) (+.f64 (.f64 257/256 y) (.f64 -1/16 (sin.f64 x)))))
(.f64 (sqrt.f64 2) (.f64 (sin.f64 x) (fma.f64 257/256 y (*.f64 -1/16 (sin.f64 x)))))
(.f64 -1/16 (.f64 (sqrt.f64 2) (pow.f64 (sin.f64 x) 2)))
(.f64 (pow.f64 (sin.f64 x) 2) (.f64 (sqrt.f64 2) -1/16))
(.f64 (sqrt.f64 2) (.f64 -1/16 (pow.f64 (sin.f64 x) 2)))
(+.f64 (.f64 257/256 (.f64 (sqrt.f64 2) (.f64 y (sin.f64 x)))) (.f64 -1/16 (*.f64 (sqrt.f64 2) (pow.f64 (sin.f64 x) 2))))
(.f64 (sqrt.f64 2) (.f64 (sin.f64 x) (fma.f64 257/256 y (*.f64 -1/16 (sin.f64 x)))))
(+.f64 (.f64 257/256 (.f64 (sqrt.f64 2) (.f64 y (sin.f64 x)))) (.f64 -1/16 (*.f64 (sqrt.f64 2) (pow.f64 (sin.f64 x) 2))))
(.f64 (sqrt.f64 2) (.f64 (sin.f64 x) (fma.f64 257/256 y (*.f64 -1/16 (sin.f64 x)))))
(+.f64 (.f64 257/256 (.f64 (sqrt.f64 2) (.f64 y (sin.f64 x)))) (.f64 -1/16 (*.f64 (sqrt.f64 2) (pow.f64 (sin.f64 x) 2))))
(.f64 (sqrt.f64 2) (.f64 (sin.f64 x) (fma.f64 257/256 y (*.f64 -1/16 (sin.f64 x)))))
(.f64 257/256 (.f64 (sqrt.f64 2) (*.f64 y (sin.f64 x))))
(.f64 (.f64 (sqrt.f64 2) y) (*.f64 (sin.f64 x) 257/256))
(.f64 (.f64 (sqrt.f64 2) y) (*.f64 257/256 (sin.f64 x)))
(+.f64 (.f64 257/256 (.f64 (sqrt.f64 2) (.f64 y (sin.f64 x)))) (.f64 -1/16 (*.f64 (sqrt.f64 2) (pow.f64 (sin.f64 x) 2))))
(.f64 (sqrt.f64 2) (.f64 (sin.f64 x) (fma.f64 257/256 y (*.f64 -1/16 (sin.f64 x)))))
(+.f64 (.f64 257/256 (.f64 (sqrt.f64 2) (.f64 y (sin.f64 x)))) (.f64 -1/16 (*.f64 (sqrt.f64 2) (pow.f64 (sin.f64 x) 2))))
(.f64 (sqrt.f64 2) (.f64 (sin.f64 x) (fma.f64 257/256 y (*.f64 -1/16 (sin.f64 x)))))
(+.f64 (.f64 257/256 (.f64 (sqrt.f64 2) (.f64 y (sin.f64 x)))) (.f64 -1/16 (*.f64 (sqrt.f64 2) (pow.f64 (sin.f64 x) 2))))
(.f64 (sqrt.f64 2) (.f64 (sin.f64 x) (fma.f64 257/256 y (*.f64 -1/16 (sin.f64 x)))))
(.f64 257/256 (.f64 (sqrt.f64 2) (*.f64 y (sin.f64 x))))
(.f64 (.f64 (sqrt.f64 2) y) (*.f64 (sin.f64 x) 257/256))
(.f64 (.f64 (sqrt.f64 2) y) (*.f64 257/256 (sin.f64 x)))
(+.f64 (.f64 257/256 (.f64 (sqrt.f64 2) (.f64 y (sin.f64 x)))) (.f64 -1/16 (*.f64 (sqrt.f64 2) (pow.f64 (sin.f64 x) 2))))
(.f64 (sqrt.f64 2) (.f64 (sin.f64 x) (fma.f64 257/256 y (*.f64 -1/16 (sin.f64 x)))))
(+.f64 (.f64 257/256 (.f64 (sqrt.f64 2) (.f64 y (sin.f64 x)))) (.f64 -1/16 (*.f64 (sqrt.f64 2) (pow.f64 (sin.f64 x) 2))))
(.f64 (sqrt.f64 2) (.f64 (sin.f64 x) (fma.f64 257/256 y (*.f64 -1/16 (sin.f64 x)))))
(+.f64 (.f64 257/256 (.f64 (sqrt.f64 2) (.f64 y (sin.f64 x)))) (.f64 -1/16 (*.f64 (sqrt.f64 2) (pow.f64 (sin.f64 x) 2))))
(.f64 (sqrt.f64 2) (.f64 (sin.f64 x) (fma.f64 257/256 y (*.f64 -1/16 (sin.f64 x)))))

localize95.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 263 to 163 computations (38% saved)

series3.0ms (0%)

Counts

2 → 8

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	y	@	0	(+.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))))
1.0ms	y	@	inf	(+.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))))
0.0ms	x	@	0	(+.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))))
0.0ms	x	@	inf	(+.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))))
0.0ms	y	@	-inf	(+.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))))

rewrite82.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

813×	`log-prod_binary64`
469×	`fma-def_binary64`
314×	`expm1-udef_binary64`
314×	`log1p-udef_binary64`
247×	`log-pow_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	37
1	374	28
2	4806	28

Stop Event

1×	node limit

Counts

2 → 115

Calls

Call 1

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

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

simplify56.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

544×	`fma-neg_binary64`
513×	`cancel-sign-sub-inv_binary64`
466×	`unsub-neg_binary64`
415×	`+-commutative_binary64`
404×	`*-commutative_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	62	390
1	174	376
2	569	311
3	2596	291
4	5078	289

Stop Event

1×	node limit

Counts

123 → 131

Calls

Call 1

Inputs
(-.f64 (+.f64 9/2 (.f64 3/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))) (*.f64 3/2 (sqrt.f64 5)))
(-.f64 (+.f64 9/2 (+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5))))) (.f64 3/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))))) (.f64 3/2 (sqrt.f64 5)))
(-.f64 (+.f64 (.f64 1/24 (.f64 (pow.f64 y 4) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5))))) (+.f64 9/2 (+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5))))) (.f64 3/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))))) (*.f64 3/2 (sqrt.f64 5)))
(-.f64 (+.f64 (.f64 1/24 (.f64 (pow.f64 y 4) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5))))) (+.f64 9/2 (+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5))))) (+.f64 (.f64 -1/720 (.f64 (pow.f64 y 6) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5))))) (.f64 3/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))))))) (.f64 3/2 (sqrt.f64 5)))
(+.f64 (.f64 3/2 (-.f64 (sqrt.f64 5) 1)) (.f64 (cos.f64 y) (-.f64 9/2 (*.f64 3/2 (sqrt.f64 5)))))
(+.f64 (.f64 3/2 (-.f64 (sqrt.f64 5) 1)) (+.f64 (.f64 (cos.f64 y) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5)))) (.f64 -3/4 (*.f64 (-.f64 (sqrt.f64 5) 1) (pow.f64 x 2)))))
(+.f64 (.f64 3/2 (-.f64 (sqrt.f64 5) 1)) (+.f64 (.f64 1/16 (.f64 (-.f64 (sqrt.f64 5) 1) (pow.f64 x 4))) (+.f64 (.f64 (cos.f64 y) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5)))) (.f64 -3/4 (*.f64 (-.f64 (sqrt.f64 5) 1) (pow.f64 x 2))))))
(+.f64 (.f64 -1/480 (.f64 (-.f64 (sqrt.f64 5) 1) (pow.f64 x 6))) (+.f64 (.f64 3/2 (-.f64 (sqrt.f64 5) 1)) (+.f64 (.f64 1/16 (.f64 (-.f64 (sqrt.f64 5) 1) (pow.f64 x 4))) (+.f64 (.f64 (cos.f64 y) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5)))) (.f64 -3/4 (*.f64 (-.f64 (sqrt.f64 5) 1) (pow.f64 x 2)))))))

Outputs
(-.f64 (+.f64 9/2 (.f64 3/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))) (*.f64 3/2 (sqrt.f64 5)))
(+.f64 (+.f64 9/2 (.f64 3/2 (.f64 (+.f64 (sqrt.f64 5) -1) (cos.f64 x)))) (*.f64 -3/2 (sqrt.f64 5)))
(+.f64 9/2 (.f64 3/2 (-.f64 (.f64 (+.f64 (sqrt.f64 5) -1) (cos.f64 x)) (sqrt.f64 5))))
(fma.f64 (sqrt.f64 5) -3/2 (fma.f64 (cos.f64 x) (fma.f64 3/2 (sqrt.f64 5) -3/2) 9/2))
(-.f64 (+.f64 9/2 (+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5))))) (.f64 3/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))))) (.f64 3/2 (sqrt.f64 5)))
(+.f64 (+.f64 9/2 (fma.f64 -1/2 (.f64 (.f64 y y) (+.f64 9/2 (.f64 -3/2 (sqrt.f64 5)))) (.f64 3/2 (.f64 (+.f64 (sqrt.f64 5) -1) (cos.f64 x))))) (.f64 -3/2 (sqrt.f64 5)))
(+.f64 (+.f64 9/2 (.f64 -1/2 (.f64 (.f64 y y) (+.f64 9/2 (.f64 (sqrt.f64 5) -3/2))))) (.f64 3/2 (-.f64 (.f64 (+.f64 (sqrt.f64 5) -1) (cos.f64 x)) (sqrt.f64 5))))
(fma.f64 (sqrt.f64 5) -3/2 (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) (.f64 -1/2 (.f64 y y)) 9/2)))
(+.f64 (.f64 (cos.f64 x) (fma.f64 3/2 (sqrt.f64 5) -3/2)) (.f64 (+.f64 (.f64 -1/2 (.f64 y y)) 1) (fma.f64 (sqrt.f64 5) -3/2 9/2)))
(fma.f64 (cos.f64 x) (fma.f64 3/2 (sqrt.f64 5) -3/2) (.f64 (+.f64 (.f64 -1/2 (*.f64 y y)) 1) (fma.f64 (sqrt.f64 5) -3/2 9/2)))
(-.f64 (+.f64 (.f64 1/24 (.f64 (pow.f64 y 4) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5))))) (+.f64 9/2 (+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5))))) (.f64 3/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))))) (*.f64 3/2 (sqrt.f64 5)))
(+.f64 (fma.f64 1/24 (.f64 (+.f64 9/2 (.f64 -3/2 (sqrt.f64 5))) (pow.f64 y 4)) (+.f64 9/2 (fma.f64 -1/2 (.f64 (.f64 y y) (+.f64 9/2 (.f64 -3/2 (sqrt.f64 5)))) (.f64 3/2 (.f64 (+.f64 (sqrt.f64 5) -1) (cos.f64 x)))))) (.f64 -3/2 (sqrt.f64 5)))
(fma.f64 1/24 (.f64 (+.f64 9/2 (.f64 (sqrt.f64 5) -3/2)) (pow.f64 y 4)) (+.f64 (+.f64 9/2 (.f64 -1/2 (.f64 (.f64 y y) (+.f64 9/2 (.f64 (sqrt.f64 5) -3/2))))) (.f64 3/2 (-.f64 (.f64 (+.f64 (sqrt.f64 5) -1) (cos.f64 x)) (sqrt.f64 5)))))
(fma.f64 (sqrt.f64 5) -3/2 (fma.f64 (fma.f64 (sqrt.f64 5) -3/2 9/2) (.f64 1/24 (pow.f64 y 4)) (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) (.f64 -1/2 (*.f64 y y)) 9/2))))
(+.f64 (.f64 (fma.f64 (sqrt.f64 5) -3/2 9/2) (+.f64 (.f64 -1/2 (.f64 y y)) (.f64 1/24 (pow.f64 y 4)))) (fma.f64 (sqrt.f64 5) -3/2 (fma.f64 (cos.f64 x) (fma.f64 3/2 (sqrt.f64 5) -3/2) 9/2)))
(+.f64 (fma.f64 (cos.f64 x) (fma.f64 3/2 (sqrt.f64 5) -3/2) 9/2) (fma.f64 (fma.f64 (sqrt.f64 5) -3/2 9/2) (+.f64 (.f64 -1/2 (.f64 y y)) (.f64 1/24 (pow.f64 y 4))) (.f64 (sqrt.f64 5) -3/2)))
(-.f64 (+.f64 (.f64 1/24 (.f64 (pow.f64 y 4) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5))))) (+.f64 9/2 (+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5))))) (+.f64 (.f64 -1/720 (.f64 (pow.f64 y 6) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5))))) (.f64 3/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))))))) (.f64 3/2 (sqrt.f64 5)))
(+.f64 (fma.f64 1/24 (.f64 (+.f64 9/2 (.f64 -3/2 (sqrt.f64 5))) (pow.f64 y 4)) (+.f64 9/2 (fma.f64 -1/2 (.f64 (.f64 y y) (+.f64 9/2 (.f64 -3/2 (sqrt.f64 5)))) (fma.f64 -1/720 (.f64 (+.f64 9/2 (.f64 -3/2 (sqrt.f64 5))) (pow.f64 y 6)) (.f64 3/2 (.f64 (+.f64 (sqrt.f64 5) -1) (cos.f64 x))))))) (.f64 -3/2 (sqrt.f64 5)))
(+.f64 (fma.f64 1/24 (.f64 (+.f64 9/2 (.f64 (sqrt.f64 5) -3/2)) (pow.f64 y 4)) (+.f64 (.f64 (+.f64 9/2 (.f64 (sqrt.f64 5) -3/2)) (+.f64 (.f64 -1/2 (.f64 y y)) (.f64 -1/720 (pow.f64 y 6)))) (fma.f64 (+.f64 (.f64 3/2 (sqrt.f64 5)) -3/2) (cos.f64 x) 9/2))) (*.f64 (sqrt.f64 5) -3/2))
(fma.f64 (sqrt.f64 5) -3/2 (fma.f64 (fma.f64 (sqrt.f64 5) -3/2 9/2) (.f64 1/24 (pow.f64 y 4)) (fma.f64 (fma.f64 (sqrt.f64 5) -3/2 9/2) (fma.f64 -1/2 (.f64 y y) (*.f64 -1/720 (pow.f64 y 6))) (fma.f64 (cos.f64 x) (fma.f64 3/2 (sqrt.f64 5) -3/2) 9/2))))
(+.f64 (.f64 (fma.f64 (sqrt.f64 5) -3/2 9/2) (+.f64 (fma.f64 -1/2 (.f64 y y) (.f64 -1/720 (pow.f64 y 6))) (.f64 1/24 (pow.f64 y 4)))) (fma.f64 (sqrt.f64 5) -3/2 (fma.f64 (cos.f64 x) (fma.f64 3/2 (sqrt.f64 5) -3/2) 9/2)))
(+.f64 (.f64 3/2 (-.f64 (sqrt.f64 5) 1)) (.f64 (cos.f64 y) (-.f64 9/2 (*.f64 3/2 (sqrt.f64 5)))))
(fma.f64 3/2 (+.f64 (sqrt.f64 5) -1) (.f64 (+.f64 9/2 (.f64 -3/2 (sqrt.f64 5))) (cos.f64 y)))
(fma.f64 3/2 (+.f64 (sqrt.f64 5) -1) (.f64 (+.f64 9/2 (.f64 (sqrt.f64 5) -3/2)) (cos.f64 y)))
(fma.f64 (fma.f64 (sqrt.f64 5) -3/2 9/2) (cos.f64 y) (fma.f64 3/2 (sqrt.f64 5) -3/2))
(+.f64 (.f64 3/2 (-.f64 (sqrt.f64 5) 1)) (+.f64 (.f64 (cos.f64 y) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5)))) (.f64 -3/4 (*.f64 (-.f64 (sqrt.f64 5) 1) (pow.f64 x 2)))))
(fma.f64 3/2 (+.f64 (sqrt.f64 5) -1) (fma.f64 (cos.f64 y) (+.f64 9/2 (.f64 -3/2 (sqrt.f64 5))) (.f64 -3/4 (.f64 (+.f64 (sqrt.f64 5) -1) (.f64 x x)))))
(fma.f64 3/2 (+.f64 (sqrt.f64 5) -1) (fma.f64 (+.f64 9/2 (.f64 (sqrt.f64 5) -3/2)) (cos.f64 y) (.f64 (+.f64 (sqrt.f64 5) -1) (.f64 (.f64 x x) -3/4))))
(fma.f64 (fma.f64 (sqrt.f64 5) -3/2 9/2) (cos.f64 y) (.f64 (+.f64 (sqrt.f64 5) -1) (+.f64 3/2 (.f64 -3/4 (*.f64 x x)))))
(+.f64 (.f64 3/2 (-.f64 (sqrt.f64 5) 1)) (+.f64 (.f64 1/16 (.f64 (-.f64 (sqrt.f64 5) 1) (pow.f64 x 4))) (+.f64 (.f64 (cos.f64 y) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5)))) (.f64 -3/4 (*.f64 (-.f64 (sqrt.f64 5) 1) (pow.f64 x 2))))))
(fma.f64 3/2 (+.f64 (sqrt.f64 5) -1) (fma.f64 1/16 (.f64 (+.f64 (sqrt.f64 5) -1) (pow.f64 x 4)) (fma.f64 (cos.f64 y) (+.f64 9/2 (.f64 -3/2 (sqrt.f64 5))) (.f64 -3/4 (.f64 (+.f64 (sqrt.f64 5) -1) (*.f64 x x))))))
(fma.f64 3/2 (+.f64 (sqrt.f64 5) -1) (fma.f64 1/16 (.f64 (+.f64 (sqrt.f64 5) -1) (pow.f64 x 4)) (fma.f64 (+.f64 9/2 (.f64 (sqrt.f64 5) -3/2)) (cos.f64 y) (.f64 (+.f64 (sqrt.f64 5) -1) (.f64 (*.f64 x x) -3/4)))))
(fma.f64 (pow.f64 x 4) (fma.f64 (sqrt.f64 5) 1/16 -1/16) (fma.f64 (fma.f64 (sqrt.f64 5) -3/2 9/2) (cos.f64 y) (.f64 (+.f64 (sqrt.f64 5) -1) (+.f64 3/2 (.f64 -3/4 (*.f64 x x))))))
(+.f64 (.f64 (fma.f64 (sqrt.f64 5) -3/2 9/2) (cos.f64 y)) (.f64 (+.f64 (sqrt.f64 5) -1) (+.f64 (+.f64 (.f64 1/16 (pow.f64 x 4)) (.f64 -3/4 (*.f64 x x))) 3/2)))
(+.f64 (.f64 -1/480 (.f64 (-.f64 (sqrt.f64 5) 1) (pow.f64 x 6))) (+.f64 (.f64 3/2 (-.f64 (sqrt.f64 5) 1)) (+.f64 (.f64 1/16 (.f64 (-.f64 (sqrt.f64 5) 1) (pow.f64 x 4))) (+.f64 (.f64 (cos.f64 y) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5)))) (.f64 -3/4 (*.f64 (-.f64 (sqrt.f64 5) 1) (pow.f64 x 2)))))))
(fma.f64 -1/480 (.f64 (+.f64 (sqrt.f64 5) -1) (pow.f64 x 6)) (fma.f64 3/2 (+.f64 (sqrt.f64 5) -1) (fma.f64 1/16 (.f64 (+.f64 (sqrt.f64 5) -1) (pow.f64 x 4)) (fma.f64 (cos.f64 y) (+.f64 9/2 (.f64 -3/2 (sqrt.f64 5))) (.f64 -3/4 (.f64 (+.f64 (sqrt.f64 5) -1) (.f64 x x)))))))
(fma.f64 -1/480 (.f64 (+.f64 (sqrt.f64 5) -1) (pow.f64 x 6)) (fma.f64 3/2 (+.f64 (sqrt.f64 5) -1) (fma.f64 1/16 (.f64 (+.f64 (sqrt.f64 5) -1) (pow.f64 x 4)) (fma.f64 (+.f64 9/2 (.f64 (sqrt.f64 5) -3/2)) (cos.f64 y) (.f64 (+.f64 (sqrt.f64 5) -1) (.f64 (.f64 x x) -3/4))))))
(+.f64 (fma.f64 (fma.f64 (sqrt.f64 5) -3/2 9/2) (cos.f64 y) (.f64 (+.f64 (sqrt.f64 5) -1) (+.f64 (.f64 1/16 (pow.f64 x 4)) (.f64 -3/4 (.f64 x x))))) (.f64 (+.f64 (sqrt.f64 5) -1) (+.f64 3/2 (.f64 -1/480 (pow.f64 x 6)))))
(+.f64 (.f64 (fma.f64 (sqrt.f64 5) -3/2 9/2) (cos.f64 y)) (.f64 (+.f64 (sqrt.f64 5) -1) (+.f64 (+.f64 3/2 (.f64 -1/480 (pow.f64 x 6))) (+.f64 (.f64 1/16 (pow.f64 x 4)) (.f64 -3/4 (.f64 x x))))))

localize128.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(.f64 (sqrt.f64 2) (.f64 (fma.f64 (sin.f64 y) -1/16 (sin.f64 x)) (fma.f64 (sin.f64 x) -1/16 (sin.f64 y))))
	1.0b	(-.f64 3 (sqrt.f64 5))
	1.9b	(-.f64 (cos.f64 x) 1)
✓	2.9b	(log.f64 (+.f64 1 (expm1.f64 (.f64 (sqrt.f64 2) (.f64 (fma.f64 (sin.f64 y) -1/16 (sin.f64 x)) (fma.f64 (sin.f64 x) -1/16 (sin.f64 y)))))))

Compiler

Compiled 318 to 214 computations (32.7% saved)

series135.0ms (0.4%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
56.0ms	y	@	-inf	(log.f64 (+.f64 1 (expm1.f64 (.f64 (sqrt.f64 2) (.f64 (fma.f64 (sin.f64 y) -1/16 (sin.f64 x)) (fma.f64 (sin.f64 x) -1/16 (sin.f64 y)))))))
27.0ms	y	@	inf	(log.f64 (+.f64 1 (expm1.f64 (.f64 (sqrt.f64 2) (.f64 (fma.f64 (sin.f64 y) -1/16 (sin.f64 x)) (fma.f64 (sin.f64 x) -1/16 (sin.f64 y)))))))
26.0ms	x	@	-inf	(log.f64 (+.f64 1 (expm1.f64 (.f64 (sqrt.f64 2) (.f64 (fma.f64 (sin.f64 y) -1/16 (sin.f64 x)) (fma.f64 (sin.f64 x) -1/16 (sin.f64 y)))))))
19.0ms	x	@	inf	(log.f64 (+.f64 1 (expm1.f64 (.f64 (sqrt.f64 2) (.f64 (fma.f64 (sin.f64 y) -1/16 (sin.f64 x)) (fma.f64 (sin.f64 x) -1/16 (sin.f64 y)))))))
3.0ms	y	@	0	(log.f64 (+.f64 1 (expm1.f64 (.f64 (sqrt.f64 2) (.f64 (fma.f64 (sin.f64 y) -1/16 (sin.f64 x)) (fma.f64 (sin.f64 x) -1/16 (sin.f64 y)))))))

rewrite91.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

647×	`log-prod_binary64`
366×	`pow2_binary64`
286×	`prod-diff_binary64`
258×	`fma-def_binary64`
257×	`pow1/3_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	50
1	323	50
2	3553	50

Stop Event

1×	node limit

Counts

2 → 100

Calls

Call 1

Inputs

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

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

Outputs

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

simplify81.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

880×	`distribute-rgt-in_binary64`
876×	`distribute-lft-in_binary64`
425×	`unswap-sqr_binary64`
388×	`associate-+l+_binary64`
378×	`associate-+r+_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	125	1743
1	472	1615
2	2278	1529
3	7445	1485

Stop Event

1×	node limit

Counts

148 → 89

Calls

Call 1

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

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

eval1.2s (3.6%)

Compiler: Compiled 45192 to 32649 computations (27.8% saved)

prune846.0ms (2.5%)

Pruning

77 alts after pruning (74 fresh and 3 done)

	Pruned	Kept	Total
New	880	29	909
Fresh	13	45	58
Picked	1	0	1
Done	4	3	7
Total	898	77	975

Error

0.0b

Counts

975 → 77

Alt Table

Click to see full alt table

Status	Error	Program
	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 (+.f64 9/2 (sqrt.f64 45/4)))) (.f64 3/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))))))
✓	24.0b	(/.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 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
	25.4b	(.f64 1/3 (/.f64 (fma.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1))) 2) (+.f64 5/2 (fma.f64 (fma.f64 1/2 (sqrt.f64 5) -1/2) (cos.f64 x) (.f64 (sqrt.f64 5) -1/2)))))
	24.1b	(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (sin.f64 x)) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) 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)))))
	0.5b	(/.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 (fma.f64 (+.f64 (sqrt.f64 5) -1) (.f64 (cos.f64 x) 3/2) (*.f64 (-.f64 9/2 (sqrt.f64 45/4)) (cos.f64 y)))))
	29.5b	(/.f64 (+.f64 2 (.f64 (log.f64 (+.f64 1 (expm1.f64 (.f64 (fma.f64 -1/16 (sin.f64 x) (.f64 y 257/256)) (.f64 (sqrt.f64 2) (sin.f64 x)))))) (-.f64 (cos.f64 x) 1))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (*.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
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	44.8b	(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (.f64 x x) (-.f64 (cos.f64 x) 1))))) (fma.f64 x (*.f64 x (fma.f64 (sqrt.f64 5) -3/4 3/4)) 6))
	33.1b	(/.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 x (.f64 x -3/4)))))))
	0.5b	(/.f64 (/.f64 (fma.f64 (.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16))) (.f64 (-.f64 (sin.f64 y) (.f64 (sin.f64 x) 1/16)) (-.f64 (cos.f64 x) (cos.f64 y))) 2) 3) (fma.f64 (cos.f64 y) (-.f64 3/2 (sqrt.f64 5/4)) (fma.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) -1/2) 1)))
	44.8b	(/.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 x (.f64 x -3/4))))) (.f64 3/2 (sqrt.f64 5))))
✓	0.5b	(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
▶	28.1b	(.f64 1/3 (.f64 (pow.f64 (.f64 1 (.f64 (pow.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2))))) 2) (+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2)))) 2))) 1/3) (/.f64 1 (+.f64 1/2 (+.f64 (.f64 1/2 (sqrt.f64 5)) (.f64 (-.f64 3/2 (*.f64 1/2 (sqrt.f64 5))) (cos.f64 y)))))))
	25.4b	(.f64 1/3 (/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (+.f64 1 (+.f64 (.f64 1/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))) (*.f64 1/2 (-.f64 3 (sqrt.f64 5)))))))
	0.5b	(.f64 1/3 (/.f64 (fma.f64 (.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16))) (.f64 (-.f64 (sin.f64 y) (*.f64 (sin.f64 x) 1/16)) (-.f64 (cos.f64 x) (cos.f64 y))) 2) (fma.f64 (cos.f64 y) (-.f64 3/2 (sqrt.f64 5/4)) (fma.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) -1/2) 1))))
	25.3b	(/.f64 (+.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x)) (+.f64 (*.f64 -1/16 (sin.f64 x)) (sin.f64 y))))) 2) (+.f64 3 (fma.f64 (sqrt.f64 5) -3/2 (fma.f64 (cos.f64 x) (fma.f64 3/2 (sqrt.f64 5) -3/2) 9/2))))
▶	30.7b	(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (+.f64 (sin.f64 x) (.f64 y -1/16))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (*.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
	1.3b	(pow.f64 (cbrt.f64 (/.f64 (fma.f64 (.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16))) (.f64 (-.f64 (sin.f64 y) (.f64 (sin.f64 x) 1/16)) (-.f64 (cos.f64 x) (cos.f64 y))) 2) (*.f64 3 (fma.f64 (cos.f64 y) (pow.f64 (cbrt.f64 (-.f64 3/2 (sqrt.f64 5/4))) 3) (fma.f64 (cos.f64 x) (-.f64 (/.f64 (sqrt.f64 5) 2) 1/2) 1))))) 3)
✓	27.3b	(/.f64 (+.f64 2 (.f64 (.f64 (sin.f64 x) (.f64 (sqrt.f64 2) (+.f64 (.f64 -1/16 (sin.f64 x)) (.f64 y 257/256)))) (-.f64 (cos.f64 x) 1))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
	35.4b	(/.f64 (+.f64 2 (.f64 (.f64 (.f64 -1/16 (sqrt.f64 2)) (pow.f64 (sin.f64 y) 2)) (-.f64 (cos.f64 x) 1))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
	14.1b	(/.f64 (+.f64 (.f64 (sqrt.f64 2) (.f64 (.f64 -2 (.f64 (sin.f64 (/.f64 (-.f64 x y) 2)) (sin.f64 (/.f64 (+.f64 x y) 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))))))
	0.5b	(/.f64 1 (.f64 3 (/.f64 (fma.f64 (cos.f64 y) (-.f64 3/2 (sqrt.f64 5/4)) (fma.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) -1/2) 1)) (fma.f64 (.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16))) (.f64 (-.f64 (sin.f64 y) (*.f64 (sin.f64 x) 1/16)) (-.f64 (cos.f64 x) (cos.f64 y))) 2))))
	27.3b	(/.f64 (+.f64 2 (.f64 (.f64 (sin.f64 x) (.f64 (sqrt.f64 2) (+.f64 (.f64 -1/16 (sin.f64 x)) (.f64 y 257/256)))) (-.f64 (cos.f64 x) 1))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (/.f64 4 (+.f64 3 (sqrt.f64 5))) 2) (cos.f64 y)))))
▶	44.3b	(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (.f64 x x) (-.f64 (cos.f64 x) 1))))) 6)
	22.8b	(/.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 (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 (sqrt.f64 45/4)) 3)))
	0.6b	(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (log.f64 (exp.f64 (-.f64 3 (sqrt.f64 5)))) 2) (cos.f64 y)))))
	0.6b	(cbrt.f64 (/.f64 (pow.f64 (fma.f64 (.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16))) (.f64 (-.f64 (sin.f64 y) (.f64 (sin.f64 x) 1/16)) (-.f64 (cos.f64 x) (cos.f64 y))) 2) 3) (pow.f64 (*.f64 3 (fma.f64 (cos.f64 y) (-.f64 3/2 (sqrt.f64 5/4)) (fma.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) -1/2) 1))) 3)))

Compiler

Compiled 6994 to 5628 computations (19.5% saved)

localize124.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
	1.0b	(*.f64 (+.f64 (sqrt.f64 5) -1) 3/2)
✓	1.0b	(-.f64 9/2 (sqrt.f64 45/4))
	1.0b	(cbrt.f64 (*.f64 (+.f64 (sqrt.f64 5) -1) 3/2))
	1.7b	(-.f64 (cos.f64 x) (cos.f64 y))

Compiler

Compiled 216 to 136 computations (37% saved)

series0.0ms (0%)

Counts: 1 → 0

rewrite47.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	6
1	115	6
2	1320	6

Stop Event

1×	node limit

Counts

1 → 28

Calls

Call 1

Inputs
(-.f64 9/2 (sqrt.f64 45/4))

Outputs

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

simplify7.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

28 → 28

Calls

Call 1

Inputs

Outputs

localize35.0ms (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)))
	1.9b	(-.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 (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)
1.0ms	x	@	0	(.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	@	inf	(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (.f64 x x) (-.f64 (cos.f64 x) 1))))) 6)

rewrite130.0ms (0.4%)

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))))))

simplify100.0ms (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)

localize194.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(+.f64 (.f64 (sqrt.f64 5) (cos.f64 x)) (.f64 -1 (cos.f64 x)))
	0.3b	(pow.f64 (sin.f64 x) 2)
✓	0.6b	(.f64 3/2 (+.f64 (.f64 (sqrt.f64 5) (cos.f64 x)) (*.f64 -1 (cos.f64 x))))
	1.9b	(-.f64 (cos.f64 x) 1)

Compiler

Compiled 181 to 130 computations (28.2% saved)

series4.0ms (0%)

Counts

2 → 8

Calls

6 calls:

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

rewrite113.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

482×	`log-prod_binary64`
353×	`exp-prod_binary64`
318×	`prod-exp_binary64`
269×	`pow-prod-down_binary64`
257×	`pow2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	25
1	236	25
2	3153	25

Stop Event

1×	node limit

Counts

2 → 180

Calls

Call 1

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

Outputs

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simplify55.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

742×	`distribute-rgt-out_binary64`
702×	`cancel-sign-sub-inv_binary64`
686×	`associate-l_binary64`
594×	`fma-neg_binary64`
535×	`associate-r_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	49	235
1	141	225
2	383	214
3	1612	214
4	5201	214

Stop Event

1×	node limit

Counts

188 → 196

Calls

Call 1

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

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

localize480.0ms (1.4%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 263 to 179 computations (31.9% saved)

series17.0ms (0%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
9.0ms	x	@	-inf	(.f64 (.f64 (sqrt.f64 2) (+.f64 (sin.f64 x) (*.f64 y -1/16))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16)))
1.0ms	y	@	inf	(.f64 (.f64 (sqrt.f64 2) (+.f64 (sin.f64 x) (*.f64 y -1/16))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16)))
1.0ms	x	@	inf	(.f64 (.f64 (sqrt.f64 2) (+.f64 (sin.f64 x) (*.f64 y -1/16))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16)))
1.0ms	y	@	-inf	(.f64 (.f64 (sqrt.f64 2) (+.f64 (sin.f64 x) (*.f64 y -1/16))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16)))
1.0ms	x	@	inf	(.f64 (sqrt.f64 2) (+.f64 (sin.f64 x) (.f64 y -1/16)))

rewrite100.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

793×	`log-prod_binary64`
484×	`fma-def_binary64`
294×	`expm1-udef_binary64`
294×	`log1p-udef_binary64`
233×	`log-pow_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	15	41
1	337	37
2	4600	35

Stop Event

1×	node limit

Counts

2 → 93

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 2) (sin.f64 x)) (*.f64 (*.f64 (sqrt.f64 2) y) -1/16))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (sqrt.f64 2) y) -1/16) (*.f64 (sqrt.f64 2) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (sqrt.f64 2) (fma.f64 y -1/16 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (sqrt.f64 2) (sin.f64 x)) 1) (*.f64 (*.f64 (*.f64 (sqrt.f64 2) y) -1/16) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 2)) (fma.f64 y -1/16 (sin.f64 x)))) (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 2)) (fma.f64 y -1/16 (sin.f64 x)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 2)) (fma.f64 y -1/16 (sin.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 2)) (fma.f64 y -1/16 (sin.f64 x))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 2)) (fma.f64 y -1/16 (sin.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 2) (fma.f64 y -1/16 (sin.f64 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (sqrt.f64 2) (sin.f64 x)) 3) (pow.f64 (*.f64 (*.f64 (sqrt.f64 2) y) -1/16) 3)) (fma.f64 (*.f64 (sqrt.f64 2) (sin.f64 x)) (*.f64 (sqrt.f64 2) (sin.f64 x)) (-.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 2) y) -1/16) (*.f64 (*.f64 (sqrt.f64 2) y) -1/16)) (*.f64 (*.f64 (sqrt.f64 2) (sin.f64 x)) (*.f64 (*.f64 (sqrt.f64 2) y) -1/16)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 2) (sin.f64 x)) (*.f64 (sqrt.f64 2) (sin.f64 x))) (*.f64 (*.f64 (*.f64 (sqrt.f64 2) y) -1/16) (*.f64 (*.f64 (sqrt.f64 2) y) -1/16))) (-.f64 (*.f64 (sqrt.f64 2) (sin.f64 x)) (*.f64 (*.f64 (sqrt.f64 2) y) -1/16)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 (pow.f64 y 3) -1/4096 (pow.f64 (sin.f64 x) 3)) (sqrt.f64 2)) (fma.f64 (*.f64 y -1/16) (-.f64 (*.f64 y -1/16) (sin.f64 x)) (pow.f64 (sin.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (*.f64 y y) 1/256)) (sqrt.f64 2)) (+.f64 (sin.f64 x) (*.f64 1/16 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 2) (fma.f64 (pow.f64 y 3) -1/4096 (pow.f64 (sin.f64 x) 3))) (fma.f64 (*.f64 y -1/16) (-.f64 (*.f64 y -1/16) (sin.f64 x)) (pow.f64 (sin.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 2) (-.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (*.f64 y y) 1/256))) (+.f64 (sin.f64 x) (*.f64 1/16 y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 2) (fma.f64 y -1/16 (sin.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sqrt.f64 2) (fma.f64 y -1/16 (sin.f64 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 2) (fma.f64 y -1/16 (sin.f64 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 2) (fma.f64 y -1/16 (sin.f64 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 2 (pow.f64 (fma.f64 y -1/16 (sin.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (sqrt.f64 2)) (fma.f64 y -1/16 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (sqrt.f64 2) (fma.f64 y -1/16 (sin.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (*.f64 (*.f64 (sqrt.f64 2) y) -1/16)) (exp.f64 (*.f64 (sqrt.f64 2) (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 2) (fma.f64 y -1/16 (sin.f64 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (*.f64 2 (sqrt.f64 2)) (pow.f64 (fma.f64 y -1/16 (sin.f64 x)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (fma.f64 y -1/16 (sin.f64 x)) 3) (*.f64 2 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 2) (fma.f64 y -1/16 (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 2) (fma.f64 y -1/16 (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sqrt.f64 2) (fma.f64 y -1/16 (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 2) (fma.f64 y -1/16 (sin.f64 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 2) (sin.f64 x) (*.f64 (*.f64 (sqrt.f64 2) y) -1/16))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 2) (*.f64 y -1/16) (*.f64 (sqrt.f64 2) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sin.f64 x) (sqrt.f64 2) (*.f64 (*.f64 (sqrt.f64 2) y) -1/16))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y (*.f64 -1/16 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1/16 (*.f64 y (sqrt.f64 2)) (*.f64 (sqrt.f64 2) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y -1/16) (sqrt.f64 2) (*.f64 (sqrt.f64 2) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 (sqrt.f64 2) (sin.f64 x)) (*.f64 (*.f64 (sqrt.f64 2) y) -1/16))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 (*.f64 (sqrt.f64 2) y) -1/16) (*.f64 (sqrt.f64 2) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 2) (*.f64 (cbrt.f64 (sqrt.f64 2)) (sin.f64 x)) (*.f64 (*.f64 (sqrt.f64 2) y) -1/16))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 2) (*.f64 (cbrt.f64 (sqrt.f64 2)) (*.f64 y -1/16)) (*.f64 (sqrt.f64 2) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (*.f64 y y) 1/256)) (*.f64 (cbrt.f64 (*.f64 y -1/16)) (sqrt.f64 2)) (*.f64 (sqrt.f64 2) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 2)) (*.f64 (cbrt.f64 (sin.f64 x)) (sqrt.f64 2)) (*.f64 (*.f64 (sqrt.f64 2) y) -1/16))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 2 1/4) (*.f64 (pow.f64 2 1/4) (sin.f64 x)) (*.f64 (*.f64 (sqrt.f64 2) y) -1/16))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 2 1/4) (*.f64 (pow.f64 2 1/4) (*.f64 y -1/16)) (*.f64 (sqrt.f64 2) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 y -1/16)) (*.f64 (sqrt.f64 (*.f64 y -1/16)) (sqrt.f64 2)) (*.f64 (sqrt.f64 2) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (sin.f64 x)) (*.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 2)) (*.f64 (*.f64 (sqrt.f64 2) y) -1/16))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 2) (sin.f64 x)) 1 (*.f64 (*.f64 (*.f64 (sqrt.f64 2) y) -1/16) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (*.f64 (*.f64 (sqrt.f64 2) y) -1/16)) (cbrt.f64 (*.f64 (*.f64 (sqrt.f64 2) y) -1/16))) (cbrt.f64 (*.f64 (*.f64 (sqrt.f64 2) y) -1/16)) (*.f64 (sqrt.f64 2) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (*.f64 (sqrt.f64 2) (sin.f64 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simplify113.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

676×	`unsub-neg_binary64`
596×	`fma-def_binary64`
478×	`distribute-lft-out_binary64`
438×	`associate-+l+_binary64`
357×	`associate-l_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	82	1059
1	259	986
2	783	917
3	3192	887
4	6350	887

Stop Event

1×	node limit

Counts

141 → 125

Calls

Call 1

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

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

localize416.0ms (1.2%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 407 to 324 computations (20.4% saved)

series136.0ms (0.4%)

Counts

4 → 12

Calls

9 calls:

Time	Variable		Point	Expression
128.0ms	y	@	0	(-.f64 1 (cos.f64 y))
2.0ms	y	@	-inf	(.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2)))
2.0ms	y	@	inf	(.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2)))
2.0ms	y	@	0	(.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2)))
1.0ms	y	@	0	(pow.f64 (sin.f64 y) 2)

rewrite116.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

711×	`log-prod_binary64`
411×	`pow2_binary64`
285×	`pow1/3_binary64`
284×	`expm1-udef_binary64`
283×	`log1p-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	40
1	363	37
2	4208	37

Stop Event

1×	node limit

Counts

4 → 140

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (neg.f64 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (.f64 (neg.f64 (cos.f64 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 1 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (cos.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 1 (cos.f64 y)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (-.f64 1 (cos.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 1 (cos.f64 y))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 1 (cos.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (-.f64 1 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 1 (cos.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (sin.f64 y) 2) (/.f64 1 (+.f64 1 (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (-.f64 1 (cos.f64 y))) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 y)) 2)) (cbrt.f64 (-.f64 1 (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (-.f64 1 (cos.f64 y))) (sqrt.f64 (-.f64 1 (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 1 (pow.f64 (cos.f64 y) 3)) (/.f64 1 (fma.f64 (cos.f64 y) (+.f64 1 (cos.f64 y)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (cos.f64 y) (+.f64 1 (cos.f64 y)) 1) (-.f64 1 (pow.f64 (cos.f64 y) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (sin.f64 y) 2) (+.f64 1 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (cos.f64 y) 3)) (fma.f64 (cos.f64 y) (+.f64 1 (cos.f64 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 (cos.f64 y) 3))) (neg.f64 (fma.f64 (cos.f64 y) (+.f64 1 (cos.f64 y)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (pow.f64 (sin.f64 y) 2)) (neg.f64 (+.f64 1 (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (neg.f64 (cos.f64 y)) 3)) (+.f64 1 (-.f64 (pow.f64 (neg.f64 (cos.f64 y)) 2) (neg.f64 (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (neg.f64 (cos.f64 y)) 2)) (-.f64 1 (neg.f64 (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 1 (cos.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 1 (cos.f64 y)) 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 (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 -1 (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 3/2 (neg.f64 (sqrt.f64 5/4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 3/2 (.f64 (neg.f64 (sqrt.f64 5/4)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 3/2 (sqrt.f64 5/4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (sqrt.f64 5/4)) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 3/2 (sqrt.f64 5/4)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (-.f64 3/2 (sqrt.f64 5/4))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 3/2 (sqrt.f64 5/4))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 3/2 (sqrt.f64 5/4))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (-.f64 3/2 (sqrt.f64 5/4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 3/2 (sqrt.f64 5/4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (-.f64 3/2 (sqrt.f64 5/4))) (cbrt.f64 (pow.f64 (-.f64 3/2 (sqrt.f64 5/4)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (-.f64 3/2 (sqrt.f64 5/4)) 2)) (cbrt.f64 (-.f64 3/2 (sqrt.f64 5/4))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (-.f64 3/2 (sqrt.f64 5/4))) (sqrt.f64 (-.f64 3/2 (sqrt.f64 5/4))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 27/8 (.f64 (sqrt.f64 5/4) 5/4)) (/.f64 1 (+.f64 7/2 (.f64 3/2 (sqrt.f64 5/4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (+.f64 3/2 (sqrt.f64 5/4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 7/2 (.f64 3/2 (sqrt.f64 5/4))) (-.f64 27/8 (.f64 (sqrt.f64 5/4) 5/4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 3/2 (sqrt.f64 5/4)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 27/8 (.f64 (sqrt.f64 5/4) 5/4)) (+.f64 7/2 (.f64 3/2 (sqrt.f64 5/4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 27/8 (.f64 (sqrt.f64 5/4) 5/4))) (neg.f64 (+.f64 7/2 (.f64 3/2 (sqrt.f64 5/4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 27/8 (pow.f64 (neg.f64 (sqrt.f64 5/4)) 3)) (+.f64 9/4 (-.f64 (pow.f64 (neg.f64 (sqrt.f64 5/4)) 2) (.f64 3/2 (neg.f64 (sqrt.f64 5/4))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (+.f64 3/2 (sqrt.f64 5/4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 9/4 (pow.f64 (neg.f64 (sqrt.f64 5/4)) 2)) (-.f64 3/2 (neg.f64 (sqrt.f64 5/4))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 3/2 (sqrt.f64 5/4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 3/2 (sqrt.f64 5/4)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 3/2 (sqrt.f64 5/4))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 3/2 (sqrt.f64 5/4))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 3/2 (sqrt.f64 5/4)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 7/2 (.f64 3/2 (sqrt.f64 5/4))) (-.f64 27/8 (.f64 (sqrt.f64 5/4) 5/4))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 3/2 (sqrt.f64 5/4)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 3/2 (sqrt.f64 5/4)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 3/2 (sqrt.f64 5/4))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 3/2 (sqrt.f64 5/4)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 3/2 (sqrt.f64 5/4)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 3/2 (sqrt.f64 5/4))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 3/2 (sqrt.f64 5/4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 3/2 (sqrt.f64 5/4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (-.f64 3/2 (sqrt.f64 5/4))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (neg.f64 (sqrt.f64 5/4)) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/2 (neg.f64 (sqrt.f64 5)) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 5) -1/2 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 5/4) (neg.f64 (cbrt.f64 (sqrt.f64 5/4))) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (sqrt.f64 5/4)) (neg.f64 (sqrt.f64 (sqrt.f64 5/4))) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1/2 (sqrt.f64 5) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (neg.f64 (sqrt.f64 5/4))) 2) (cbrt.f64 (neg.f64 (sqrt.f64 5/4))) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (neg.f64 (sqrt.f64 5/4))) (sqrt.f64 (neg.f64 (sqrt.f64 5/4))) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (sqrt.f64 5/4) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (sqrt.f64 5)) 1/2 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (cbrt.f64 5/4)) (cbrt.f64 (sqrt.f64 5/4)) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (sqrt.f64 (sqrt.f64 5/4))) (sqrt.f64 (sqrt.f64 5/4)) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 -1/2 (cbrt.f64 5)) (cbrt.f64 (sqrt.f64 5)) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1/2 (pow.f64 5 1/4)) (pow.f64 5 1/4) 3/2)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (-.f64 1 (cos.f64 y)) (.f64 (pow.f64 (sin.f64 y) 2) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (pow.f64 (sin.f64 y) 2)) (-.f64 1 (cos.f64 y))) (sqrt.f64 2))) 2)) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (pow.f64 (sin.f64 y) 2)) (-.f64 1 (cos.f64 y))) (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 (pow.f64 (sin.f64 y) 2)) (-.f64 1 (cos.f64 y))) (sqrt.f64 2)))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 (pow.f64 (sin.f64 y) 2)) (-.f64 1 (cos.f64 y))) (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (-.f64 1 (cos.f64 y)) (.f64 (pow.f64 (sin.f64 y) 2) (sqrt.f64 2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (-.f64 1 (cos.f64 y)) (.f64 (pow.f64 (sin.f64 y) 2) (sqrt.f64 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (-.f64 1 (cos.f64 y)) (.f64 (pow.f64 (sin.f64 y) 2) (sqrt.f64 2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 (-.f64 1 (cos.f64 y)) (.f64 (pow.f64 (sin.f64 y) 2) (sqrt.f64 2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 y)) (sqrt.f64 2))) (sin.f64 y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (.f64 2 (sqrt.f64 2)) (pow.f64 (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2)) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (pow.f64 (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2)) 3) (.f64 2 (sqrt.f64 2))) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 2 (.f64 (pow.f64 (sin.f64 y) 4) (pow.f64 (-.f64 1 (cos.f64 y)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 (pow.f64 (sin.f64 y) 2)) (-.f64 1 (cos.f64 y))) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 (-.f64 1 (cos.f64 y)) (.f64 (pow.f64 (sin.f64 y) 2) (sqrt.f64 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 (-.f64 1 (cos.f64 y)) (.f64 (pow.f64 (sin.f64 y) 2) (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 (-.f64 1 (cos.f64 y)) (.f64 (pow.f64 (sin.f64 y) 2) (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 (-.f64 1 (cos.f64 y)) (.f64 (pow.f64 (sin.f64 y) 2) (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (fma.f64 1/2 (log.f64 2) (-.f64 (.f64 4 (log.f64 (sin.f64 y))) (log1p.f64 (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (fma.f64 1/2 (log.f64 2) (-.f64 (*.f64 4 (log.f64 (sin.f64 y))) (log1p.f64 (cos.f64 y)))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (neg.f64 (pow.f64 (cos.f64 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (.f64 (neg.f64 (cos.f64 y)) (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (sin.f64 y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (sin.f64 y) 2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (sin.f64 y) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (sin.f64 y) 2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (sin.f64 y) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 1 (pow.f64 (cos.f64 y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 1/2 (.f64 1/2 (cos.f64 (+.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (sin.f64 y) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (pow.f64 (sin.f64 y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sin.f64 y) (sin.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (sin.f64 y) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (sin.f64 y) 4)) (pow.f64 (cbrt.f64 (sin.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (cbrt.f64 (pow.f64 (sin.f64 y) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (.f64 (cbrt.f64 (sin.f64 y)) (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (sin.f64 y)) (.f64 (sqrt.f64 (sin.f64 y)) (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (sqrt.f64 (sin.f64 y)) 3) (sqrt.f64 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sin.f64 y) (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (cbrt.f64 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (cos.f64 (-.f64 y y)) (cos.f64 (+.f64 y y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (pow.f64 (cos.f64 y) 2) 3)) (+.f64 1 (+.f64 (pow.f64 (pow.f64 (cos.f64 y) 2) 2) (pow.f64 (cos.f64 y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (pow.f64 (cos.f64 y) 2) 2)) (+.f64 1 (pow.f64 (cos.f64 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (sin.f64 y) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (sin.f64 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (sin.f64 y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (sin.f64 y) 3) 2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (sin.f64 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (sin.f64 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 2 (log.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (*.f64 2 (log.f64 (sin.f64 y))) 1))))))

simplify201.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

988×	`distribute-lft-out_binary64`
772×	`sqr-pow_binary64`
516×	`*-commutative_binary64`
439×	`associate-+l+_binary64`
390×	`pow-sqr_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	53	250
1	135	248
2	356	238
3	1201	230
4	2096	230
5	3789	230
6	4508	230
7	4824	230
8	5082	230
9	5453	230
10	5869	230
11	6343	230
12	6832	230
13	7378	230

Stop Event

1×	node limit

Counts

152 → 164

Calls

Call 1

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

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

eval2.3s (6.6%)

Compiler: Compiled 49372 to 37477 computations (24.1% saved)

prune268.0ms (0.8%)

Pruning

85 alts after pruning (80 fresh and 5 done)

	Pruned	Kept	Total
New	994	16	1010
Fresh	5	64	69
Picked	1	0	1
Done	2	5	7
Total	1002	85	1087

Error

0.0b

Counts

1087 → 85

Alt Table

Click to see full alt table

Status	Error	Program
	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 (+.f64 9/2 (sqrt.f64 45/4)))) (.f64 3/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))))))
	28.7b	(/.f64 (+.f64 2 (.f64 (.f64 (sin.f64 x) (.f64 (sqrt.f64 2) (+.f64 (.f64 -1/16 (sin.f64 x)) (.f64 y 257/256)))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
	52.0b	(/.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 (cos.f64 x) (.f64 (sqrt.f64 5) (cos.f64 x))))) (.f64 3/2 (sqrt.f64 5))))
	25.4b	(.f64 1/3 (/.f64 (fma.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1))) 2) (+.f64 5/2 (fma.f64 (fma.f64 1/2 (sqrt.f64 5) -1/2) (cos.f64 x) (.f64 (sqrt.f64 5) -1/2)))))
✓	24.0b	(/.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 (/.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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	51.0b	(/.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 (hypot.f64 (.f64 (sqrt.f64 5) (cos.f64 x)) (cos.f64 x)))) (.f64 3/2 (sqrt.f64 5))))
	44.8b	(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (.f64 x x) (.f64 -1/2 (.f64 x x)))))) 6)
	24.0b	(/.f64 (+.f64 2 (.f64 (neg.f64 (log.f64 (/.f64 (-.f64 1 (expm1.f64 (.f64 (sqrt.f64 2) (.f64 (fma.f64 (sin.f64 y) -1/16 (sin.f64 x)) (fma.f64 -1/16 (sin.f64 x) (sin.f64 y)))))) (-.f64 1 (pow.f64 (expm1.f64 (.f64 (sqrt.f64 2) (.f64 (fma.f64 (sin.f64 y) -1/16 (sin.f64 x)) (fma.f64 -1/16 (sin.f64 x) (sin.f64 y))))) 2))))) (-.f64 (cos.f64 x) 1))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
	29.5b	(/.f64 (+.f64 2 (.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 -1/16 (pow.f64 (sin.f64 x) 2)) (.f64 y (+.f64 (.f64 (sin.f64 x) 257/256) (.f64 -1/16 y))))) (-.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)))))
	44.0b	(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (.f64 x x) (-.f64 (cos.f64 x) 1))))) (+.f64 (-.f64 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 45/4) -3/2)) (sqrt.f64 45/4)) 15/2))
	25.5b	(/.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 (+.f64 (pow.f64 5 3/2) -1) (cos.f64 x)) (+.f64 6 (sqrt.f64 5))))) (.f64 3/2 (sqrt.f64 5))))
	0.9b	(/.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) (fma.f64 (.f64 -3/2 (pow.f64 5 1/4)) (pow.f64 5 1/4) 9/2)) (.f64 3/2 (*.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))))))
	25.5b	(/.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) (cos.f64 x)) (.f64 -1 (cos.f64 x))))) (.f64 3/2 (sqrt.f64 5))))
	28.1b	(.f64 1/3 (.f64 (pow.f64 (.f64 1 (.f64 (pow.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2))))) 2) (+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (-.f64 1/2 (.f64 1/2 (cos.f64 (+.f64 y y))))))) 2))) 1/3) (/.f64 1 (+.f64 1/2 (+.f64 (.f64 1/2 (sqrt.f64 5)) (.f64 (-.f64 3/2 (.f64 1/2 (sqrt.f64 5))) (cos.f64 y)))))))
	44.8b	(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (.f64 x x) (-.f64 (cos.f64 x) 1))))) (fma.f64 x (*.f64 x (fma.f64 (sqrt.f64 5) -3/4 3/4)) 6))
	0.6b	(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)))))
	33.1b	(/.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 x (.f64 x -3/4)))))))
	0.5b	(/.f64 (/.f64 (fma.f64 (.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16))) (.f64 (-.f64 (sin.f64 y) (.f64 (sin.f64 x) 1/16)) (-.f64 (cos.f64 x) (cos.f64 y))) 2) 3) (fma.f64 (cos.f64 y) (-.f64 3/2 (sqrt.f64 5/4)) (fma.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) -1/2) 1)))
	44.8b	(/.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 x (.f64 x -3/4))))) (.f64 3/2 (sqrt.f64 5))))
✓	0.5b	(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
	25.4b	(.f64 1/3 (/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (+.f64 1 (+.f64 (.f64 1/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))) (*.f64 1/2 (-.f64 3 (sqrt.f64 5)))))))
	0.5b	(.f64 1/3 (/.f64 (fma.f64 (.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16))) (.f64 (-.f64 (sin.f64 y) (*.f64 (sin.f64 x) 1/16)) (-.f64 (cos.f64 x) (cos.f64 y))) 2) (fma.f64 (cos.f64 y) (-.f64 3/2 (sqrt.f64 5/4)) (fma.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) -1/2) 1))))
	25.3b	(/.f64 (+.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x)) (+.f64 (*.f64 -1/16 (sin.f64 x)) (sin.f64 y))))) 2) (+.f64 3 (fma.f64 (sqrt.f64 5) -3/2 (fma.f64 (cos.f64 x) (fma.f64 3/2 (sqrt.f64 5) -3/2) 9/2))))
✓	30.7b	(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (+.f64 (sin.f64 x) (.f64 y -1/16))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (*.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
	1.3b	(pow.f64 (cbrt.f64 (/.f64 (fma.f64 (.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16))) (.f64 (-.f64 (sin.f64 y) (.f64 (sin.f64 x) 1/16)) (-.f64 (cos.f64 x) (cos.f64 y))) 2) (*.f64 3 (fma.f64 (cos.f64 y) (pow.f64 (cbrt.f64 (-.f64 3/2 (sqrt.f64 5/4))) 3) (fma.f64 (cos.f64 x) (-.f64 (/.f64 (sqrt.f64 5) 2) 1/2) 1))))) 3)
✓	27.3b	(/.f64 (+.f64 2 (.f64 (.f64 (sin.f64 x) (.f64 (sqrt.f64 2) (+.f64 (.f64 -1/16 (sin.f64 x)) (.f64 y 257/256)))) (-.f64 (cos.f64 x) 1))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
	35.4b	(/.f64 (+.f64 2 (.f64 (.f64 (.f64 -1/16 (sqrt.f64 2)) (pow.f64 (sin.f64 y) 2)) (-.f64 (cos.f64 x) 1))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
	14.1b	(/.f64 (+.f64 (.f64 (sqrt.f64 2) (.f64 (.f64 -2 (.f64 (sin.f64 (/.f64 (-.f64 x y) 2)) (sin.f64 (/.f64 (+.f64 x y) 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))))))
	27.5b	(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (+.f64 (sin.f64 x) (.f64 y -1/16))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) 1))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (*.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
	0.5b	(/.f64 1 (.f64 3 (/.f64 (fma.f64 (cos.f64 y) (-.f64 3/2 (sqrt.f64 5/4)) (fma.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) -1/2) 1)) (fma.f64 (.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16))) (.f64 (-.f64 (sin.f64 y) (*.f64 (sin.f64 x) 1/16)) (-.f64 (cos.f64 x) (cos.f64 y))) 2))))
	27.3b	(/.f64 (+.f64 2 (.f64 (.f64 (sin.f64 x) (.f64 (sqrt.f64 2) (+.f64 (.f64 -1/16 (sin.f64 x)) (.f64 y 257/256)))) (-.f64 (cos.f64 x) 1))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (/.f64 4 (+.f64 3 (sqrt.f64 5))) 2) (cos.f64 y)))))
	23.9b	(/.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) (pow.f64 (cbrt.f64 (*.f64 (+.f64 (sqrt.f64 5) -1) 3/2)) 3) (fma.f64 (cos.f64 y) (-.f64 9/2 (sqrt.f64 45/4)) 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 (sqrt.f64 45/4)) 3)))
	0.6b	(/.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)))))

Compiler

Compiled 3859 to 3111 computations (19.4% saved)

regimes418.0ms (1.2%)

Counts

135 → 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 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 x (.f64 x -3/4))))) (.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) (+.f64 (.f64 -1/2 (.f64 x x)) 1)))) (*.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))))) (fma.f64 x (*.f64 x (fma.f64 (sqrt.f64 5) -3/4 3/4)) 6))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (.f64 x x) (-.f64 (cos.f64 x) 1))))) (+.f64 (-.f64 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 45/4) -3/2)) (sqrt.f64 45/4)) 15/2))
(/.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 (.f64 x x) (-.f64 (cos.f64 x) 1))))) (fma.f64 (+.f64 (sqrt.f64 5) -1) (+.f64 (.f64 -3/4 (.f64 x x)) (*.f64 1/16 (pow.f64 x 4))) 6))
(/.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 (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 (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 (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 x (.f64 x -3/4))))) (*.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 (.f64 (sqrt.f64 2) (.f64 257/256 (.f64 y x))) (-.f64 (cos.f64 x) 1))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (*.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (.f64 3/2 (.f64 (cos.f64 x) (-.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 (.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 0 (.f64 (.f64 3/2 (cos.f64 x)) (+.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 (.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 1/3 (/.f64 (+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2)))) 2) (+.f64 1 (+.f64 (.f64 1/2 (.f64 (-.f64 3 (sqrt.f64 5)) (cos.f64 y))) (*.f64 1/2 (-.f64 (sqrt.f64 5) 1))))))
(.f64 1/3 (/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (+.f64 1 (+.f64 (.f64 1/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))) (*.f64 1/2 (-.f64 3 (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) (cos.f64 x)) (.f64 -1 (cos.f64 x))))) (.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) y) (.f64 257/256 (sin.f64 x))) (-.f64 (cos.f64 x) 1))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (*.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (.f64 3/2 (-.f64 (cos.f64 x) (.f64 (sqrt.f64 5) (cos.f64 x))))) (.f64 3/2 (sqrt.f64 5))))
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(/.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 (+.f64 1 (cbrt.f64 (+.f64 (*.f64 (sqrt.f64 5) 3/2) -3/2))) 1) 3) (fma.f64 (cos.f64 y) (-.f64 9/2 (/.f64 (sqrt.f64 5) 2/3)) 3)))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 (.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16))) (.f64 (-.f64 (sin.f64 y) (.f64 (sin.f64 x) 1/16)) (-.f64 (cos.f64 x) (cos.f64 y))) 2) 3) (pow.f64 (*.f64 3 (fma.f64 (cos.f64 y) (-.f64 3/2 (sqrt.f64 5/4)) (fma.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) -1/2) 1))) 3)))
(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (fma.f64 (.f64 (cbrt.f64 (cos.f64 x)) (cbrt.f64 (cos.f64 x))) (cbrt.f64 (cos.f64 x)) (neg.f64 (cos.f64 y))))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (*.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(+.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 (*.f64 3/2 (sqrt.f64 5))))))))))
(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 (cbrt.f64 (/.f64 (fma.f64 (.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16))) (.f64 (-.f64 (sin.f64 y) (.f64 (sin.f64 x) 1/16)) (-.f64 (cos.f64 x) (cos.f64 y))) 2) (*.f64 3 (fma.f64 (cos.f64 y) (pow.f64 (cbrt.f64 (-.f64 3/2 (sqrt.f64 5/4))) 3) (fma.f64 (cos.f64 x) (-.f64 (/.f64 (sqrt.f64 5) 2) 1/2) 1))))) 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 (pow.f64 (cbrt.f64 (.f64 (+.f64 (sqrt.f64 5) -1) 3/2)) 2) (cbrt.f64 (*.f64 (+.f64 (sqrt.f64 5) -1) 3/2))) (fma.f64 (cos.f64 y) (-.f64 9/2 (/.f64 (sqrt.f64 5) 2/3)) 3)))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (.f64 3 (fma.f64 (cos.f64 y) (-.f64 3/2 (sqrt.f64 5/4)) (fma.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) -1/2) 1)))) 2)) (/.f64 (fma.f64 (.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16))) (.f64 (-.f64 (sin.f64 y) (.f64 (sin.f64 x) 1/16)) (-.f64 (cos.f64 x) (cos.f64 y))) 2) (cbrt.f64 (*.f64 3 (fma.f64 (cos.f64 y) (-.f64 3/2 (sqrt.f64 5/4)) (fma.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) -1/2) 1))))))
(/.f64 (+.f64 2 (.f64 (neg.f64 (log.f64 (/.f64 (-.f64 1 (expm1.f64 (.f64 (sqrt.f64 2) (.f64 (fma.f64 (sin.f64 y) -1/16 (sin.f64 x)) (fma.f64 -1/16 (sin.f64 x) (sin.f64 y)))))) (-.f64 1 (pow.f64 (expm1.f64 (.f64 (sqrt.f64 2) (.f64 (fma.f64 (sin.f64 y) -1/16 (sin.f64 x)) (fma.f64 -1/16 (sin.f64 x) (sin.f64 y))))) 2))))) (-.f64 (cos.f64 x) 1))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(.f64 (/.f64 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 (sqrt.f64 (fma.f64 (.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16))) (.f64 (-.f64 (sin.f64 y) (.f64 (sin.f64 x) 1/16)) (-.f64 (cos.f64 x) (cos.f64 y))) 2)) 1) (/.f64 (sqrt.f64 (fma.f64 (.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16))) (.f64 (-.f64 (sin.f64 y) (.f64 (sin.f64 x) 1/16)) (-.f64 (cos.f64 x) (cos.f64 y))) 2)) (.f64 3 (fma.f64 (cos.f64 y) (-.f64 3/2 (sqrt.f64 5/4)) (fma.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) -1/2) 1)))))
(.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 (cbrt.f64 (/.f64 (fma.f64 (.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16))) (.f64 (-.f64 (sin.f64 y) (.f64 (sin.f64 x) 1/16)) (-.f64 (cos.f64 x) (cos.f64 y))) 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))))) (cbrt.f64 (/.f64 (fma.f64 (.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16))) (.f64 (-.f64 (sin.f64 y) (.f64 (sin.f64 x) 1/16)) (-.f64 (cos.f64 x) (cos.f64 y))) 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)))))) (cbrt.f64 (/.f64 (fma.f64 (.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16))) (.f64 (-.f64 (sin.f64 y) (.f64 (sin.f64 x) 1/16)) (-.f64 (cos.f64 x) (cos.f64 y))) 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))))))

Outputs

(/.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 (sqrt.f64 45/4)) 3)))

Calls

4 calls:

77.0ms	y
75.0ms	x
53.0ms	(/.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)))))
52.0ms	(/.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 6334 to 4490 computations (29.1% saved)

regimes464.0ms (1.3%)

Counts

107 → 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 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 x (.f64 x -3/4))))) (.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) (+.f64 (.f64 -1/2 (.f64 x x)) 1)))) (*.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))))) (fma.f64 x (*.f64 x (fma.f64 (sqrt.f64 5) -3/4 3/4)) 6))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (.f64 x x) (-.f64 (cos.f64 x) 1))))) (+.f64 (-.f64 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 45/4) -3/2)) (sqrt.f64 45/4)) 15/2))
(/.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 (.f64 x x) (-.f64 (cos.f64 x) 1))))) (fma.f64 (+.f64 (sqrt.f64 5) -1) (+.f64 (.f64 -3/4 (.f64 x x)) (*.f64 1/16 (pow.f64 x 4))) 6))
(/.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 (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 (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 (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 x (.f64 x -3/4))))) (*.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 (.f64 (sqrt.f64 2) (.f64 257/256 (.f64 y x))) (-.f64 (cos.f64 x) 1))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (*.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (.f64 3/2 (.f64 (cos.f64 x) (-.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 (.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 0 (.f64 (.f64 3/2 (cos.f64 x)) (+.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 (.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 1/3 (/.f64 (+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2)))) 2) (+.f64 1 (+.f64 (.f64 1/2 (.f64 (-.f64 3 (sqrt.f64 5)) (cos.f64 y))) (*.f64 1/2 (-.f64 (sqrt.f64 5) 1))))))
(.f64 1/3 (/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (+.f64 1 (+.f64 (.f64 1/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))) (*.f64 1/2 (-.f64 3 (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) (cos.f64 x)) (.f64 -1 (cos.f64 x))))) (.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) y) (.f64 257/256 (sin.f64 x))) (-.f64 (cos.f64 x) 1))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (*.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (.f64 3/2 (-.f64 (cos.f64 x) (.f64 (sqrt.f64 5) (cos.f64 x))))) (.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (pow.f64 (sin.f64 x) 4)) (-.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 3/2 (+.f64 (.f64 (sqrt.f64 5) (cos.f64 x)) (.f64 -1 (cos.f64 x))))) (*.f64 3/2 (sqrt.f64 5))))
(.f64 1/3 (.f64 (pow.f64 1 1/3) (/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 5/2 (.f64 (cos.f64 x) (-.f64 (.f64 1/2 (sqrt.f64 5)) 1/2))) (.f64 1/2 (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 (+.f64 (pow.f64 5 3/2) -1) (cos.f64 x)) (+.f64 6 (sqrt.f64 5))))) (.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))) (cbrt.f64 (pow.f64 (-.f64 (cos.f64 x) (cos.f64 y)) 3)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (pow.f64 (cbrt.f64 (-.f64 (cos.f64 x) (cos.f64 y))) 3))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (.f64 (-.f64 (exp.f64 (log1p.f64 (.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16))))) 1) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (*.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(.f64 1/3 (.f64 (pow.f64 (.f64 1 (.f64 (pow.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2))))) 2) (+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2)))) 2))) 1/3) (/.f64 1 (+.f64 1/2 (+.f64 (.f64 1/2 (sqrt.f64 5)) (.f64 (-.f64 3/2 (*.f64 1/2 (sqrt.f64 5))) (cos.f64 y)))))))
(/.f64 (/.f64 (fma.f64 (.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16))) (.f64 (-.f64 (sin.f64 y) (.f64 (sin.f64 x) 1/16)) (-.f64 (cos.f64 x) (cos.f64 y))) 2) 3) (fma.f64 (cos.f64 y) (-.f64 3/2 (sqrt.f64 5/4)) (fma.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) -1/2) 1)))
(.f64 1/3 (/.f64 (fma.f64 (.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16))) (.f64 (-.f64 (sin.f64 y) (*.f64 (sin.f64 x) 1/16)) (-.f64 (cos.f64 x) (cos.f64 y))) 2) (fma.f64 (cos.f64 y) (-.f64 3/2 (sqrt.f64 5/4)) (fma.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) -1/2) 1))))
(.f64 (fma.f64 (.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16))) (.f64 (-.f64 (sin.f64 y) (.f64 (sin.f64 x) 1/16)) (-.f64 (cos.f64 x) (cos.f64 y))) 2) (/.f64 1 (.f64 3 (fma.f64 (cos.f64 y) (-.f64 3/2 (sqrt.f64 5/4)) (fma.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) -1/2) 1)))))
(/.f64 1 (.f64 3 (/.f64 (fma.f64 (cos.f64 y) (-.f64 3/2 (sqrt.f64 5/4)) (fma.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) -1/2) 1)) (fma.f64 (.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16))) (.f64 (-.f64 (sin.f64 y) (*.f64 (sin.f64 x) 1/16)) (-.f64 (cos.f64 x) (cos.f64 y))) 2))))
(.f64 1/3 (/.f64 (fma.f64 (sqrt.f64 2) (.f64 (+.f64 (sin.f64 x) (.f64 -1/16 (sin.f64 y))) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (+.f64 (sin.f64 y) (.f64 -1/16 (sin.f64 x))))) 2) (fma.f64 1/2 (fma.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1) (.f64 (cos.f64 y) (-.f64 3 (sqrt.f64 5)))) 1)))
(/.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 (+.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x)) (+.f64 (.f64 -1/16 (sin.f64 x)) (sin.f64 y))))) 2) (+.f64 3 (pow.f64 (cbrt.f64 (fma.f64 (-.f64 9/2 (sqrt.f64 45/4)) (cos.f64 y) (.f64 (cos.f64 x) (+.f64 (sqrt.f64 45/4) -3/2)))) 3)))
(.f64 1/3 (/.f64 (fma.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))))) 2) (+.f64 1 (fma.f64 (cos.f64 y) (+.f64 3/2 (.f64 (sqrt.f64 5) -1/2)) (*.f64 (fma.f64 1/2 (sqrt.f64 5) -1/2) (cos.f64 x))))))
(.f64 1 (/.f64 (fma.f64 (.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16))) (.f64 (-.f64 (sin.f64 y) (.f64 (sin.f64 x) 1/16)) (-.f64 (cos.f64 x) (cos.f64 y))) 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) 1/16))) (.f64 (-.f64 (sin.f64 y) (.f64 (sin.f64 x) 1/16)) (-.f64 (cos.f64 x) (cos.f64 y))) 2) (/.f64 1 (.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 (+.f64 2 (.f64 (log.f64 (+.f64 1 (expm1.f64 (.f64 (sqrt.f64 2) (.f64 (fma.f64 (sin.f64 y) -1/16 (sin.f64 x)) (fma.f64 (sin.f64 x) -1/16 (sin.f64 y))))))) (-.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 (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) (pow.f64 (cbrt.f64 (*.f64 (+.f64 (sqrt.f64 5) -1) 3/2)) 3) (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))) (-.f64 (cos.f64 x) 1))) 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 (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) 1))) 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 (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 1 (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)))
(pow.f64 (/.f64 (.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))) (fma.f64 (.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16))) (.f64 (-.f64 (sin.f64 y) (*.f64 (sin.f64 x) 1/16)) (-.f64 (cos.f64 x) (cos.f64 y))) 2)) -1)
(/.f64 (+.f64 2 (.f64 (.f64 (log1p.f64 (expm1.f64 (.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16))))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (pow.f64 (cbrt.f64 (-.f64 (cos.f64 x) (cos.f64 y))) 3))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (*.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 (cos.f64 x) (cos.f64 y))) 3)) 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)))))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 (.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16))) (.f64 (-.f64 (sin.f64 y) (.f64 (sin.f64 x) 1/16)) (-.f64 (cos.f64 x) (cos.f64 y))) 2) (*.f64 3 (fma.f64 (cos.f64 y) (-.f64 3/2 (sqrt.f64 5/4)) (fma.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) -1/2) 1))))))

Outputs

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

Calls

4 calls:

86.0ms	x
79.0ms	(/.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)))))
65.0ms	y
45.0ms	(/.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
0.5b	1	`x`
0.5b	1	`y`
0.5b	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)))))`
0.5b	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 4675 to 3377 computations (27.8% saved)

regimes359.0ms (1%)

Counts

87 → 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 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 x (.f64 x -3/4))))) (.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) (+.f64 (.f64 -1/2 (.f64 x x)) 1)))) (*.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))))) (fma.f64 x (*.f64 x (fma.f64 (sqrt.f64 5) -3/4 3/4)) 6))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (.f64 x x) (-.f64 (cos.f64 x) 1))))) (+.f64 (-.f64 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 45/4) -3/2)) (sqrt.f64 45/4)) 15/2))
(/.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 (.f64 x x) (-.f64 (cos.f64 x) 1))))) (fma.f64 (+.f64 (sqrt.f64 5) -1) (+.f64 (.f64 -3/4 (.f64 x x)) (*.f64 1/16 (pow.f64 x 4))) 6))
(/.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 (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 (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 (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 x (.f64 x -3/4))))) (*.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 (.f64 (sqrt.f64 2) (.f64 257/256 (.f64 y x))) (-.f64 (cos.f64 x) 1))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (*.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (.f64 3/2 (.f64 (cos.f64 x) (-.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 (.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 0 (.f64 (.f64 3/2 (cos.f64 x)) (+.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 (.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 1/3 (/.f64 (+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2)))) 2) (+.f64 1 (+.f64 (.f64 1/2 (.f64 (-.f64 3 (sqrt.f64 5)) (cos.f64 y))) (*.f64 1/2 (-.f64 (sqrt.f64 5) 1))))))
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(/.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 (.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) (fma.f64 (.f64 -3/2 (pow.f64 5 1/4)) (pow.f64 5 1/4) 9/2)) (.f64 3/2 (*.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))))))
(/.f64 (+.f64 2 (.f64 (.f64 (exp.f64 (log.f64 (.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16))))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (*.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (.f64 (log.f64 (exp.f64 (.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16))))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (*.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (log.f64 (exp.f64 (-.f64 3 (sqrt.f64 5)))) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (cbrt.f64 (pow.f64 (-.f64 (cos.f64 x) (cos.f64 y)) 3)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (cbrt.f64 (pow.f64 (-.f64 (cos.f64 x) (cos.f64 y)) 3)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (pow.f64 (cbrt.f64 (-.f64 (cos.f64 x) (cos.f64 y))) 3))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (.f64 (-.f64 (exp.f64 (log1p.f64 (.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16))))) 1) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (*.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(.f64 1/3 (.f64 (pow.f64 (.f64 1 (.f64 (pow.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2))))) 2) (+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2)))) 2))) 1/3) (/.f64 1 (+.f64 1/2 (+.f64 (.f64 1/2 (sqrt.f64 5)) (.f64 (-.f64 3/2 (*.f64 1/2 (sqrt.f64 5))) (cos.f64 y)))))))

Outputs

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

Calls

4 calls:

99.0ms	y
51.0ms	x
42.0ms	(/.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)))))
35.0ms	(/.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
0.5b	1	`x`
0.5b	1	`y`
0.5b	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)))))`
0.5b	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 3732 to 2761 computations (26% saved)

regimes329.0ms (1%)

Counts

67 → 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 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 x (.f64 x -3/4))))) (.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) (+.f64 (.f64 -1/2 (.f64 x x)) 1)))) (*.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))))) (fma.f64 x (*.f64 x (fma.f64 (sqrt.f64 5) -3/4 3/4)) 6))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (.f64 x x) (-.f64 (cos.f64 x) 1))))) (+.f64 (-.f64 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 45/4) -3/2)) (sqrt.f64 45/4)) 15/2))
(/.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 (.f64 x x) (-.f64 (cos.f64 x) 1))))) (fma.f64 (+.f64 (sqrt.f64 5) -1) (+.f64 (.f64 -3/4 (.f64 x x)) (*.f64 1/16 (pow.f64 x 4))) 6))
(/.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 (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 (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 (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 x (.f64 x -3/4))))) (*.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 (.f64 (sqrt.f64 2) (.f64 257/256 (.f64 y x))) (-.f64 (cos.f64 x) 1))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (*.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (.f64 3/2 (.f64 (cos.f64 x) (-.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 (.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 0 (.f64 (.f64 3/2 (cos.f64 x)) (+.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 (.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 1/3 (/.f64 (+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2)))) 2) (+.f64 1 (+.f64 (.f64 1/2 (.f64 (-.f64 3 (sqrt.f64 5)) (cos.f64 y))) (*.f64 1/2 (-.f64 (sqrt.f64 5) 1))))))
(.f64 1/3 (/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (+.f64 1 (+.f64 (.f64 1/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))) (*.f64 1/2 (-.f64 3 (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) (cos.f64 x)) (.f64 -1 (cos.f64 x))))) (.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) y) (.f64 257/256 (sin.f64 x))) (-.f64 (cos.f64 x) 1))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (*.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (.f64 3/2 (-.f64 (cos.f64 x) (.f64 (sqrt.f64 5) (cos.f64 x))))) (.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (pow.f64 (sin.f64 x) 4)) (-.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 3/2 (+.f64 (.f64 (sqrt.f64 5) (cos.f64 x)) (.f64 -1 (cos.f64 x))))) (*.f64 3/2 (sqrt.f64 5))))
(.f64 1/3 (.f64 (pow.f64 1 1/3) (/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 5/2 (.f64 (cos.f64 x) (-.f64 (.f64 1/2 (sqrt.f64 5)) 1/2))) (.f64 1/2 (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 (+.f64 (pow.f64 5 3/2) -1) (cos.f64 x)) (+.f64 6 (sqrt.f64 5))))) (.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 (.f64 (.f64 -1/16 (sqrt.f64 2)) (pow.f64 (sin.f64 y) 2)) (-.f64 (cos.f64 x) 1))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (.f64 (pow.f64 (sin.f64 x) 2) (.f64 -1/16 (sqrt.f64 2))) (-.f64 (cos.f64 x) 1))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (.f64 (sqrt.f64 2) (.f64 -1/16 (pow.f64 (sin.f64 y) 2))) (-.f64 (cos.f64 x) 1))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (.f64 (sin.f64 x) (.f64 (sqrt.f64 2) (+.f64 (.f64 -1/16 (sin.f64 x)) (.f64 y 257/256)))) (-.f64 (cos.f64 x) 1))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (.f64 (sin.f64 x) (.f64 (sqrt.f64 2) (+.f64 (.f64 -1/16 (sin.f64 x)) (.f64 y 257/256)))) (-.f64 (cos.f64 x) 1))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (/.f64 4 (+.f64 3 (sqrt.f64 5))) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (.f64 3/2 (hypot.f64 (.f64 (sqrt.f64 5) (cos.f64 x)) (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 (fma.f64 (.f64 (sqrt.f64 5) (cos.f64 x)) 3/2 (.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 (.f64 3/2 (pow.f64 (cbrt.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1))) 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 (.f64 (pow.f64 (sin.f64 x) 2) (.f64 -1/16 (sqrt.f64 2))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (sin.f64 x)) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) 1))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (.f64 (sin.f64 x) (.f64 (sqrt.f64 2) (+.f64 (.f64 -1/16 (sin.f64 x)) (.f64 y 257/256)))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) (sin.f64 y))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) 1))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (*.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (+.f64 (sin.f64 x) (.f64 y -1/16))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) 1))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (*.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (+.f64 (sin.f64 x) (.f64 y -1/16))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) 1))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (*.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 -1/16 (pow.f64 (sin.f64 x) 2)) (.f64 y (+.f64 (.f64 (sin.f64 x) 257/256) (.f64 -1/16 y))))) (-.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 1/3 (/.f64 (fma.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1))) 2) (+.f64 5/2 (fma.f64 (fma.f64 1/2 (sqrt.f64 5) -1/2) (cos.f64 x) (.f64 (sqrt.f64 5) -1/2)))))
(.f64 1/3 (/.f64 (fma.f64 -1/16 (.f64 (sqrt.f64 2) (*.f64 (+.f64 (cos.f64 x) -1) (pow.f64 (sin.f64 x) 2))) 2) (fma.f64 1/2 (fma.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1) (-.f64 3 (sqrt.f64 5))) 1)))
(/.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 (fma.f64 (cos.f64 x) (-.f64 (sqrt.f64 5) -1) (+.f64 (cos.f64 x) (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 (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 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 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 (.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 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 (/.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 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 (.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 x (.f64 x -3/4)))))))
(/.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 4 (+.f64 3 (sqrt.f64 5))) 2) (cos.f64 y)))))
(/.f64 (fma.f64 (.f64 (-.f64 1 (cos.f64 y)) (.f64 -1/16 (sqrt.f64 2))) (pow.f64 (sin.f64 y) 2) 2) (+.f64 3 (fma.f64 (fma.f64 (sqrt.f64 5) -3/2 9/2) (cos.f64 y) (fma.f64 3/2 (sqrt.f64 5) -3/2))))
(/.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 (neg.f64 (sqrt.f64 45/4)) 9/2)) (.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 (+.f64 9/2 (sqrt.f64 45/4)))) (.f64 3/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))))))
(/.f64 (+.f64 2 (.f64 (log.f64 (+.f64 1 (expm1.f64 (.f64 (fma.f64 -1/16 (sin.f64 x) (.f64 y 257/256)) (.f64 (sqrt.f64 2) (sin.f64 x)))))) (-.f64 (cos.f64 x) 1))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (*.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 (.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 (*.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))))))

Calls

2 calls:

42.0ms	x
41.0ms	y

Results

Error	Segments	Branch
0.5b	1	`x`
0.5b	1	`y`

Compiler

Compiled 2590 to 1963 computations (24.2% saved)

regimes152.0ms (0.4%)

Counts

64 → 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 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 x (.f64 x -3/4))))) (.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) (+.f64 (.f64 -1/2 (.f64 x x)) 1)))) (*.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))))) (fma.f64 x (*.f64 x (fma.f64 (sqrt.f64 5) -3/4 3/4)) 6))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (.f64 x x) (-.f64 (cos.f64 x) 1))))) (+.f64 (-.f64 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 45/4) -3/2)) (sqrt.f64 45/4)) 15/2))
(/.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 (.f64 x x) (-.f64 (cos.f64 x) 1))))) (fma.f64 (+.f64 (sqrt.f64 5) -1) (+.f64 (.f64 -3/4 (.f64 x x)) (*.f64 1/16 (pow.f64 x 4))) 6))
(/.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 (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 (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 (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 x (.f64 x -3/4))))) (*.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 (.f64 (sqrt.f64 2) (.f64 257/256 (.f64 y x))) (-.f64 (cos.f64 x) 1))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (*.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (.f64 3/2 (.f64 (cos.f64 x) (-.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 (.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 0 (.f64 (.f64 3/2 (cos.f64 x)) (+.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 (.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 1/3 (/.f64 (+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2)))) 2) (+.f64 1 (+.f64 (.f64 1/2 (.f64 (-.f64 3 (sqrt.f64 5)) (cos.f64 y))) (*.f64 1/2 (-.f64 (sqrt.f64 5) 1))))))
(.f64 1/3 (/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (+.f64 1 (+.f64 (.f64 1/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))) (*.f64 1/2 (-.f64 3 (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) (cos.f64 x)) (.f64 -1 (cos.f64 x))))) (.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) y) (.f64 257/256 (sin.f64 x))) (-.f64 (cos.f64 x) 1))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (*.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (.f64 3/2 (-.f64 (cos.f64 x) (.f64 (sqrt.f64 5) (cos.f64 x))))) (.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (pow.f64 (sin.f64 x) 4)) (-.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 3/2 (+.f64 (.f64 (sqrt.f64 5) (cos.f64 x)) (.f64 -1 (cos.f64 x))))) (*.f64 3/2 (sqrt.f64 5))))
(.f64 1/3 (.f64 (pow.f64 1 1/3) (/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 5/2 (.f64 (cos.f64 x) (-.f64 (.f64 1/2 (sqrt.f64 5)) 1/2))) (.f64 1/2 (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 (+.f64 (pow.f64 5 3/2) -1) (cos.f64 x)) (+.f64 6 (sqrt.f64 5))))) (.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 (.f64 (.f64 -1/16 (sqrt.f64 2)) (pow.f64 (sin.f64 y) 2)) (-.f64 (cos.f64 x) 1))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (.f64 (pow.f64 (sin.f64 x) 2) (.f64 -1/16 (sqrt.f64 2))) (-.f64 (cos.f64 x) 1))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (.f64 (sqrt.f64 2) (.f64 -1/16 (pow.f64 (sin.f64 y) 2))) (-.f64 (cos.f64 x) 1))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (.f64 (sin.f64 x) (.f64 (sqrt.f64 2) (+.f64 (.f64 -1/16 (sin.f64 x)) (.f64 y 257/256)))) (-.f64 (cos.f64 x) 1))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (.f64 (sin.f64 x) (.f64 (sqrt.f64 2) (+.f64 (.f64 -1/16 (sin.f64 x)) (.f64 y 257/256)))) (-.f64 (cos.f64 x) 1))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (/.f64 4 (+.f64 3 (sqrt.f64 5))) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (.f64 3/2 (hypot.f64 (.f64 (sqrt.f64 5) (cos.f64 x)) (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 (fma.f64 (.f64 (sqrt.f64 5) (cos.f64 x)) 3/2 (.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 (.f64 3/2 (pow.f64 (cbrt.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1))) 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 (.f64 (pow.f64 (sin.f64 x) 2) (.f64 -1/16 (sqrt.f64 2))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (sin.f64 x)) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) 1))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (.f64 (sin.f64 x) (.f64 (sqrt.f64 2) (+.f64 (.f64 -1/16 (sin.f64 x)) (.f64 y 257/256)))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) (sin.f64 y))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) 1))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (*.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (+.f64 (sin.f64 x) (.f64 y -1/16))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) 1))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (*.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (+.f64 (sin.f64 x) (.f64 y -1/16))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) 1))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (*.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 -1/16 (pow.f64 (sin.f64 x) 2)) (.f64 y (+.f64 (.f64 (sin.f64 x) 257/256) (.f64 -1/16 y))))) (-.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 1/3 (/.f64 (fma.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1))) 2) (+.f64 5/2 (fma.f64 (fma.f64 1/2 (sqrt.f64 5) -1/2) (cos.f64 x) (.f64 (sqrt.f64 5) -1/2)))))
(.f64 1/3 (/.f64 (fma.f64 -1/16 (.f64 (sqrt.f64 2) (*.f64 (+.f64 (cos.f64 x) -1) (pow.f64 (sin.f64 x) 2))) 2) (fma.f64 1/2 (fma.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1) (-.f64 3 (sqrt.f64 5))) 1)))
(/.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 (fma.f64 (cos.f64 x) (-.f64 (sqrt.f64 5) -1) (+.f64 (cos.f64 x) (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 (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 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 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 (.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 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 (/.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 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 (.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 x (.f64 x -3/4)))))))
(/.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 4 (+.f64 3 (sqrt.f64 5))) 2) (cos.f64 y)))))
(/.f64 (fma.f64 (.f64 (-.f64 1 (cos.f64 y)) (.f64 -1/16 (sqrt.f64 2))) (pow.f64 (sin.f64 y) 2) 2) (+.f64 3 (fma.f64 (fma.f64 (sqrt.f64 5) -3/2 9/2) (cos.f64 y) (fma.f64 3/2 (sqrt.f64 5) -3/2))))
(/.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 (neg.f64 (sqrt.f64 45/4)) 9/2)) (.f64 3/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))))))

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

Calls

2 calls:

47.0ms	x
36.0ms	y

Results

Error	Segments	Branch
0.5b	1	`x`
0.5b	1	`y`

Compiler

Compiled 2446 to 1864 computations (23.8% saved)

regimes278.0ms (0.8%)

Counts

63 → 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 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 x (.f64 x -3/4))))) (.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) (+.f64 (.f64 -1/2 (.f64 x x)) 1)))) (*.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))))) (fma.f64 x (*.f64 x (fma.f64 (sqrt.f64 5) -3/4 3/4)) 6))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (.f64 x x) (-.f64 (cos.f64 x) 1))))) (+.f64 (-.f64 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 45/4) -3/2)) (sqrt.f64 45/4)) 15/2))
(/.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 (.f64 x x) (-.f64 (cos.f64 x) 1))))) (fma.f64 (+.f64 (sqrt.f64 5) -1) (+.f64 (.f64 -3/4 (.f64 x x)) (*.f64 1/16 (pow.f64 x 4))) 6))
(/.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 (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 (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 (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 x (.f64 x -3/4))))) (*.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 (.f64 (sqrt.f64 2) (.f64 257/256 (.f64 y x))) (-.f64 (cos.f64 x) 1))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (*.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (.f64 3/2 (.f64 (cos.f64 x) (-.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 (.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 0 (.f64 (.f64 3/2 (cos.f64 x)) (+.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 (.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 1/3 (/.f64 (+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2)))) 2) (+.f64 1 (+.f64 (.f64 1/2 (.f64 (-.f64 3 (sqrt.f64 5)) (cos.f64 y))) (*.f64 1/2 (-.f64 (sqrt.f64 5) 1))))))
(.f64 1/3 (/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (+.f64 1 (+.f64 (.f64 1/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))) (*.f64 1/2 (-.f64 3 (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) (cos.f64 x)) (.f64 -1 (cos.f64 x))))) (.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) y) (.f64 257/256 (sin.f64 x))) (-.f64 (cos.f64 x) 1))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (*.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (.f64 3/2 (-.f64 (cos.f64 x) (.f64 (sqrt.f64 5) (cos.f64 x))))) (.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (pow.f64 (sin.f64 x) 4)) (-.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 3/2 (+.f64 (.f64 (sqrt.f64 5) (cos.f64 x)) (.f64 -1 (cos.f64 x))))) (*.f64 3/2 (sqrt.f64 5))))
(.f64 1/3 (.f64 (pow.f64 1 1/3) (/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 5/2 (.f64 (cos.f64 x) (-.f64 (.f64 1/2 (sqrt.f64 5)) 1/2))) (.f64 1/2 (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 (+.f64 (pow.f64 5 3/2) -1) (cos.f64 x)) (+.f64 6 (sqrt.f64 5))))) (.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 (.f64 (.f64 -1/16 (sqrt.f64 2)) (pow.f64 (sin.f64 y) 2)) (-.f64 (cos.f64 x) 1))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (.f64 (pow.f64 (sin.f64 x) 2) (.f64 -1/16 (sqrt.f64 2))) (-.f64 (cos.f64 x) 1))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (.f64 (sqrt.f64 2) (.f64 -1/16 (pow.f64 (sin.f64 y) 2))) (-.f64 (cos.f64 x) 1))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (.f64 (sin.f64 x) (.f64 (sqrt.f64 2) (+.f64 (.f64 -1/16 (sin.f64 x)) (.f64 y 257/256)))) (-.f64 (cos.f64 x) 1))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (.f64 (sin.f64 x) (.f64 (sqrt.f64 2) (+.f64 (.f64 -1/16 (sin.f64 x)) (.f64 y 257/256)))) (-.f64 (cos.f64 x) 1))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (/.f64 4 (+.f64 3 (sqrt.f64 5))) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (.f64 3/2 (hypot.f64 (.f64 (sqrt.f64 5) (cos.f64 x)) (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 (fma.f64 (.f64 (sqrt.f64 5) (cos.f64 x)) 3/2 (.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 (.f64 3/2 (pow.f64 (cbrt.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1))) 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 (.f64 (pow.f64 (sin.f64 x) 2) (.f64 -1/16 (sqrt.f64 2))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (sin.f64 x)) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) 1))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (.f64 (sin.f64 x) (.f64 (sqrt.f64 2) (+.f64 (.f64 -1/16 (sin.f64 x)) (.f64 y 257/256)))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) (sin.f64 y))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) 1))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (*.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (+.f64 (sin.f64 x) (.f64 y -1/16))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) 1))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (*.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (+.f64 (sin.f64 x) (.f64 y -1/16))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) 1))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (*.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 -1/16 (pow.f64 (sin.f64 x) 2)) (.f64 y (+.f64 (.f64 (sin.f64 x) 257/256) (.f64 -1/16 y))))) (-.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 1/3 (/.f64 (fma.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1))) 2) (+.f64 5/2 (fma.f64 (fma.f64 1/2 (sqrt.f64 5) -1/2) (cos.f64 x) (.f64 (sqrt.f64 5) -1/2)))))
(.f64 1/3 (/.f64 (fma.f64 -1/16 (.f64 (sqrt.f64 2) (*.f64 (+.f64 (cos.f64 x) -1) (pow.f64 (sin.f64 x) 2))) 2) (fma.f64 1/2 (fma.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1) (-.f64 3 (sqrt.f64 5))) 1)))
(/.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 (fma.f64 (cos.f64 x) (-.f64 (sqrt.f64 5) -1) (+.f64 (cos.f64 x) (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 (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 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 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 (.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 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 (/.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 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 (.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 x (.f64 x -3/4)))))))
(/.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 4 (+.f64 3 (sqrt.f64 5))) 2) (cos.f64 y)))))
(/.f64 (fma.f64 (.f64 (-.f64 1 (cos.f64 y)) (.f64 -1/16 (sqrt.f64 2))) (pow.f64 (sin.f64 y) 2) 2) (+.f64 3 (fma.f64 (fma.f64 (sqrt.f64 5) -3/2 9/2) (cos.f64 y) (fma.f64 3/2 (sqrt.f64 5) -3/2))))

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

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

Calls

2 calls:

106.0ms	y
105.0ms	x

Results

Error	Segments	Branch
12.8b	3	`x`
14.1b	3	`y`

Compiler

Compiled 2399 to 1834 computations (23.6% saved)

bsearch431.0ms (1.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
260.0ms	0.0008216978115631814	0.010614883857199872
170.0ms	-0.002753526206924115	-0.0017529993635945528

Compiler

Compiled 57 to 44 computations (22.8% saved)

regimes415.0ms (1.2%)

Counts

60 → 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 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 x (.f64 x -3/4))))) (.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) (+.f64 (.f64 -1/2 (.f64 x x)) 1)))) (*.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))))) (fma.f64 x (*.f64 x (fma.f64 (sqrt.f64 5) -3/4 3/4)) 6))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (.f64 x x) (-.f64 (cos.f64 x) 1))))) (+.f64 (-.f64 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 45/4) -3/2)) (sqrt.f64 45/4)) 15/2))
(/.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 (.f64 x x) (-.f64 (cos.f64 x) 1))))) (fma.f64 (+.f64 (sqrt.f64 5) -1) (+.f64 (.f64 -3/4 (.f64 x x)) (*.f64 1/16 (pow.f64 x 4))) 6))
(/.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 (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 (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 (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 x (.f64 x -3/4))))) (*.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 (.f64 (sqrt.f64 2) (.f64 257/256 (.f64 y x))) (-.f64 (cos.f64 x) 1))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (*.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (.f64 3/2 (.f64 (cos.f64 x) (-.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 (.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 0 (.f64 (.f64 3/2 (cos.f64 x)) (+.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 (.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 1/3 (/.f64 (+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2)))) 2) (+.f64 1 (+.f64 (.f64 1/2 (.f64 (-.f64 3 (sqrt.f64 5)) (cos.f64 y))) (*.f64 1/2 (-.f64 (sqrt.f64 5) 1))))))
(.f64 1/3 (/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (+.f64 1 (+.f64 (.f64 1/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))) (*.f64 1/2 (-.f64 3 (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) (cos.f64 x)) (.f64 -1 (cos.f64 x))))) (.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) y) (.f64 257/256 (sin.f64 x))) (-.f64 (cos.f64 x) 1))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (*.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (.f64 3/2 (-.f64 (cos.f64 x) (.f64 (sqrt.f64 5) (cos.f64 x))))) (.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (pow.f64 (sin.f64 x) 4)) (-.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 3/2 (+.f64 (.f64 (sqrt.f64 5) (cos.f64 x)) (.f64 -1 (cos.f64 x))))) (*.f64 3/2 (sqrt.f64 5))))
(.f64 1/3 (.f64 (pow.f64 1 1/3) (/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 5/2 (.f64 (cos.f64 x) (-.f64 (.f64 1/2 (sqrt.f64 5)) 1/2))) (.f64 1/2 (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 (+.f64 (pow.f64 5 3/2) -1) (cos.f64 x)) (+.f64 6 (sqrt.f64 5))))) (.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 (.f64 (.f64 -1/16 (sqrt.f64 2)) (pow.f64 (sin.f64 y) 2)) (-.f64 (cos.f64 x) 1))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (.f64 (pow.f64 (sin.f64 x) 2) (.f64 -1/16 (sqrt.f64 2))) (-.f64 (cos.f64 x) 1))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (.f64 (sqrt.f64 2) (.f64 -1/16 (pow.f64 (sin.f64 y) 2))) (-.f64 (cos.f64 x) 1))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (.f64 (sin.f64 x) (.f64 (sqrt.f64 2) (+.f64 (.f64 -1/16 (sin.f64 x)) (.f64 y 257/256)))) (-.f64 (cos.f64 x) 1))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (.f64 (sin.f64 x) (.f64 (sqrt.f64 2) (+.f64 (.f64 -1/16 (sin.f64 x)) (.f64 y 257/256)))) (-.f64 (cos.f64 x) 1))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (/.f64 4 (+.f64 3 (sqrt.f64 5))) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (.f64 3/2 (hypot.f64 (.f64 (sqrt.f64 5) (cos.f64 x)) (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 (fma.f64 (.f64 (sqrt.f64 5) (cos.f64 x)) 3/2 (.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 (.f64 3/2 (pow.f64 (cbrt.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1))) 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 (.f64 (pow.f64 (sin.f64 x) 2) (.f64 -1/16 (sqrt.f64 2))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (sin.f64 x)) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) 1))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (.f64 (sin.f64 x) (.f64 (sqrt.f64 2) (+.f64 (.f64 -1/16 (sin.f64 x)) (.f64 y 257/256)))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) (sin.f64 y))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) 1))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (*.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (+.f64 (sin.f64 x) (.f64 y -1/16))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) 1))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (*.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (+.f64 (sin.f64 x) (.f64 y -1/16))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) 1))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (*.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 -1/16 (pow.f64 (sin.f64 x) 2)) (.f64 y (+.f64 (.f64 (sin.f64 x) 257/256) (.f64 -1/16 y))))) (-.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 1/3 (/.f64 (fma.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1))) 2) (+.f64 5/2 (fma.f64 (fma.f64 1/2 (sqrt.f64 5) -1/2) (cos.f64 x) (.f64 (sqrt.f64 5) -1/2)))))
(.f64 1/3 (/.f64 (fma.f64 -1/16 (.f64 (sqrt.f64 2) (*.f64 (+.f64 (cos.f64 x) -1) (pow.f64 (sin.f64 x) 2))) 2) (fma.f64 1/2 (fma.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1) (-.f64 3 (sqrt.f64 5))) 1)))
(/.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 (fma.f64 (cos.f64 x) (-.f64 (sqrt.f64 5) -1) (+.f64 (cos.f64 x) (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 (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 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 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 (.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 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 (/.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 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)))))

Outputs

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

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

118.0ms	y
104.0ms	x

Results

Error	Segments	Branch
12.9b	3	`x`
14.1b	3	`y`

Compiler

Compiled 2266 to 1738 computations (23.3% saved)

bsearch330.0ms (1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
148.0ms	0.0008216978115631814	0.010614883857199872
180.0ms	-1.9664332525088746	-0.002753526206924115

Compiler

Compiled 57 to 44 computations (22.8% saved)

regimes526.0ms (1.5%)

Counts

57 → 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 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 x (.f64 x -3/4))))) (.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) (+.f64 (.f64 -1/2 (.f64 x x)) 1)))) (*.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))))) (fma.f64 x (*.f64 x (fma.f64 (sqrt.f64 5) -3/4 3/4)) 6))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (.f64 x x) (-.f64 (cos.f64 x) 1))))) (+.f64 (-.f64 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 45/4) -3/2)) (sqrt.f64 45/4)) 15/2))
(/.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 (.f64 x x) (-.f64 (cos.f64 x) 1))))) (fma.f64 (+.f64 (sqrt.f64 5) -1) (+.f64 (.f64 -3/4 (.f64 x x)) (*.f64 1/16 (pow.f64 x 4))) 6))
(/.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 (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 (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 (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 x (.f64 x -3/4))))) (*.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 (.f64 (sqrt.f64 2) (.f64 257/256 (.f64 y x))) (-.f64 (cos.f64 x) 1))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (*.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (.f64 3/2 (.f64 (cos.f64 x) (-.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 (.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 0 (.f64 (.f64 3/2 (cos.f64 x)) (+.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 (.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 1/3 (/.f64 (+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2)))) 2) (+.f64 1 (+.f64 (.f64 1/2 (.f64 (-.f64 3 (sqrt.f64 5)) (cos.f64 y))) (*.f64 1/2 (-.f64 (sqrt.f64 5) 1))))))
(.f64 1/3 (/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (+.f64 1 (+.f64 (.f64 1/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))) (*.f64 1/2 (-.f64 3 (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) (cos.f64 x)) (.f64 -1 (cos.f64 x))))) (.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) y) (.f64 257/256 (sin.f64 x))) (-.f64 (cos.f64 x) 1))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (*.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (.f64 3/2 (-.f64 (cos.f64 x) (.f64 (sqrt.f64 5) (cos.f64 x))))) (.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (pow.f64 (sin.f64 x) 4)) (-.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 3/2 (+.f64 (.f64 (sqrt.f64 5) (cos.f64 x)) (.f64 -1 (cos.f64 x))))) (*.f64 3/2 (sqrt.f64 5))))
(.f64 1/3 (.f64 (pow.f64 1 1/3) (/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 5/2 (.f64 (cos.f64 x) (-.f64 (.f64 1/2 (sqrt.f64 5)) 1/2))) (.f64 1/2 (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 (+.f64 (pow.f64 5 3/2) -1) (cos.f64 x)) (+.f64 6 (sqrt.f64 5))))) (.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 (.f64 (.f64 -1/16 (sqrt.f64 2)) (pow.f64 (sin.f64 y) 2)) (-.f64 (cos.f64 x) 1))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (.f64 (pow.f64 (sin.f64 x) 2) (.f64 -1/16 (sqrt.f64 2))) (-.f64 (cos.f64 x) 1))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (.f64 (sqrt.f64 2) (.f64 -1/16 (pow.f64 (sin.f64 y) 2))) (-.f64 (cos.f64 x) 1))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (.f64 (sin.f64 x) (.f64 (sqrt.f64 2) (+.f64 (.f64 -1/16 (sin.f64 x)) (.f64 y 257/256)))) (-.f64 (cos.f64 x) 1))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (.f64 (sin.f64 x) (.f64 (sqrt.f64 2) (+.f64 (.f64 -1/16 (sin.f64 x)) (.f64 y 257/256)))) (-.f64 (cos.f64 x) 1))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (/.f64 4 (+.f64 3 (sqrt.f64 5))) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (.f64 3/2 (hypot.f64 (.f64 (sqrt.f64 5) (cos.f64 x)) (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 (fma.f64 (.f64 (sqrt.f64 5) (cos.f64 x)) 3/2 (.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 (.f64 3/2 (pow.f64 (cbrt.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1))) 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 (.f64 (pow.f64 (sin.f64 x) 2) (.f64 -1/16 (sqrt.f64 2))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (sin.f64 x)) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) 1))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (.f64 (sin.f64 x) (.f64 (sqrt.f64 2) (+.f64 (.f64 -1/16 (sin.f64 x)) (.f64 y 257/256)))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) (sin.f64 y))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) 1))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (*.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (+.f64 (sin.f64 x) (.f64 y -1/16))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) 1))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (*.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (+.f64 (sin.f64 x) (.f64 y -1/16))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) 1))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (*.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 -1/16 (pow.f64 (sin.f64 x) 2)) (.f64 y (+.f64 (.f64 (sin.f64 x) 257/256) (.f64 -1/16 y))))) (-.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 1/3 (/.f64 (fma.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1))) 2) (+.f64 5/2 (fma.f64 (fma.f64 1/2 (sqrt.f64 5) -1/2) (cos.f64 x) (.f64 (sqrt.f64 5) -1/2)))))
(.f64 1/3 (/.f64 (fma.f64 -1/16 (.f64 (sqrt.f64 2) (*.f64 (+.f64 (cos.f64 x) -1) (pow.f64 (sin.f64 x) 2))) 2) (fma.f64 1/2 (fma.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1) (-.f64 3 (sqrt.f64 5))) 1)))
(/.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 (fma.f64 (cos.f64 x) (-.f64 (sqrt.f64 5) -1) (+.f64 (cos.f64 x) (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 (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 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 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 (.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 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 (/.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 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) (cos.f64 y)))) (*.f64 3 (+.f64 (+.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:

310.0ms	y
140.0ms	x

Results

Error	Segments	Branch
13.0b	3	`x`
14.2b	3	`y`

Compiler

Compiled 2119 to 1637 computations (22.7% saved)

bsearch321.0ms (0.9%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
162.0ms	0.0008216978115631814	0.010614883857199872
159.0ms	-0.002753526206924115	-0.0017529993635945528

Compiler

Compiled 57 to 44 computations (22.8% saved)

regimes411.0ms (1.2%)

Counts

53 → 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 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 x (.f64 x -3/4))))) (.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) (+.f64 (.f64 -1/2 (.f64 x x)) 1)))) (*.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))))) (fma.f64 x (*.f64 x (fma.f64 (sqrt.f64 5) -3/4 3/4)) 6))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (.f64 x x) (-.f64 (cos.f64 x) 1))))) (+.f64 (-.f64 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 45/4) -3/2)) (sqrt.f64 45/4)) 15/2))
(/.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 (.f64 x x) (-.f64 (cos.f64 x) 1))))) (fma.f64 (+.f64 (sqrt.f64 5) -1) (+.f64 (.f64 -3/4 (.f64 x x)) (*.f64 1/16 (pow.f64 x 4))) 6))
(/.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 (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 (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 (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 x (.f64 x -3/4))))) (*.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 (.f64 (sqrt.f64 2) (.f64 257/256 (.f64 y x))) (-.f64 (cos.f64 x) 1))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (*.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (.f64 3/2 (.f64 (cos.f64 x) (-.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 (.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 0 (.f64 (.f64 3/2 (cos.f64 x)) (+.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 (.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 1/3 (/.f64 (+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2)))) 2) (+.f64 1 (+.f64 (.f64 1/2 (.f64 (-.f64 3 (sqrt.f64 5)) (cos.f64 y))) (*.f64 1/2 (-.f64 (sqrt.f64 5) 1))))))
(.f64 1/3 (/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (+.f64 1 (+.f64 (.f64 1/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))) (*.f64 1/2 (-.f64 3 (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) (cos.f64 x)) (.f64 -1 (cos.f64 x))))) (.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) y) (.f64 257/256 (sin.f64 x))) (-.f64 (cos.f64 x) 1))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (*.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (.f64 3/2 (-.f64 (cos.f64 x) (.f64 (sqrt.f64 5) (cos.f64 x))))) (.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (pow.f64 (sin.f64 x) 4)) (-.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 3/2 (+.f64 (.f64 (sqrt.f64 5) (cos.f64 x)) (.f64 -1 (cos.f64 x))))) (*.f64 3/2 (sqrt.f64 5))))
(.f64 1/3 (.f64 (pow.f64 1 1/3) (/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 5/2 (.f64 (cos.f64 x) (-.f64 (.f64 1/2 (sqrt.f64 5)) 1/2))) (.f64 1/2 (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 (+.f64 (pow.f64 5 3/2) -1) (cos.f64 x)) (+.f64 6 (sqrt.f64 5))))) (.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 (.f64 (.f64 -1/16 (sqrt.f64 2)) (pow.f64 (sin.f64 y) 2)) (-.f64 (cos.f64 x) 1))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (.f64 (pow.f64 (sin.f64 x) 2) (.f64 -1/16 (sqrt.f64 2))) (-.f64 (cos.f64 x) 1))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (.f64 (sqrt.f64 2) (.f64 -1/16 (pow.f64 (sin.f64 y) 2))) (-.f64 (cos.f64 x) 1))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (.f64 (sin.f64 x) (.f64 (sqrt.f64 2) (+.f64 (.f64 -1/16 (sin.f64 x)) (.f64 y 257/256)))) (-.f64 (cos.f64 x) 1))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (.f64 (sin.f64 x) (.f64 (sqrt.f64 2) (+.f64 (.f64 -1/16 (sin.f64 x)) (.f64 y 257/256)))) (-.f64 (cos.f64 x) 1))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (/.f64 4 (+.f64 3 (sqrt.f64 5))) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (.f64 3/2 (hypot.f64 (.f64 (sqrt.f64 5) (cos.f64 x)) (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 (fma.f64 (.f64 (sqrt.f64 5) (cos.f64 x)) 3/2 (.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 (.f64 3/2 (pow.f64 (cbrt.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1))) 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 (.f64 (pow.f64 (sin.f64 x) 2) (.f64 -1/16 (sqrt.f64 2))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (sin.f64 x)) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) 1))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (.f64 (sin.f64 x) (.f64 (sqrt.f64 2) (+.f64 (.f64 -1/16 (sin.f64 x)) (.f64 y 257/256)))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) (sin.f64 y))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) 1))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (*.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (+.f64 (sin.f64 x) (.f64 y -1/16))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) 1))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (*.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (+.f64 (sin.f64 x) (.f64 y -1/16))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) 1))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (*.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 -1/16 (pow.f64 (sin.f64 x) 2)) (.f64 y (+.f64 (.f64 (sin.f64 x) 257/256) (.f64 -1/16 y))))) (-.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 1/3 (/.f64 (fma.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1))) 2) (+.f64 5/2 (fma.f64 (fma.f64 1/2 (sqrt.f64 5) -1/2) (cos.f64 x) (.f64 (sqrt.f64 5) -1/2)))))
(.f64 1/3 (/.f64 (fma.f64 -1/16 (.f64 (sqrt.f64 2) (*.f64 (+.f64 (cos.f64 x) -1) (pow.f64 (sin.f64 x) 2))) 2) (fma.f64 1/2 (fma.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1) (-.f64 3 (sqrt.f64 5))) 1)))
(/.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 (fma.f64 (cos.f64 x) (-.f64 (sqrt.f64 5) -1) (+.f64 (cos.f64 x) (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 (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 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)))))

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 (*.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)))))

Calls

2 calls:

171.0ms	x
140.0ms	y

Results

Error	Segments	Branch
13.1b	3	`x`
14.6b	3	`y`

Compiler

Compiled 1929 to 1504 computations (22% saved)

bsearch557.0ms (1.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
232.0ms	0.0008216978115631814	0.010614883857199872
323.0ms	-5.6669773823078534e-5	-4.828291358731935e-7

Compiler

Compiled 57 to 44 computations (22.8% saved)

regimes393.0ms (1.1%)

Counts

51 → 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 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 x (.f64 x -3/4))))) (.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) (+.f64 (.f64 -1/2 (.f64 x x)) 1)))) (*.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))))) (fma.f64 x (*.f64 x (fma.f64 (sqrt.f64 5) -3/4 3/4)) 6))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (.f64 x x) (-.f64 (cos.f64 x) 1))))) (+.f64 (-.f64 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 45/4) -3/2)) (sqrt.f64 45/4)) 15/2))
(/.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 (.f64 x x) (-.f64 (cos.f64 x) 1))))) (fma.f64 (+.f64 (sqrt.f64 5) -1) (+.f64 (.f64 -3/4 (.f64 x x)) (*.f64 1/16 (pow.f64 x 4))) 6))
(/.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 (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 (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 (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 x (.f64 x -3/4))))) (*.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 (.f64 (sqrt.f64 2) (.f64 257/256 (.f64 y x))) (-.f64 (cos.f64 x) 1))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (*.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (.f64 3/2 (.f64 (cos.f64 x) (-.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 (.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 0 (.f64 (.f64 3/2 (cos.f64 x)) (+.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 (.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 1/3 (/.f64 (+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2)))) 2) (+.f64 1 (+.f64 (.f64 1/2 (.f64 (-.f64 3 (sqrt.f64 5)) (cos.f64 y))) (*.f64 1/2 (-.f64 (sqrt.f64 5) 1))))))
(.f64 1/3 (/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (+.f64 1 (+.f64 (.f64 1/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))) (*.f64 1/2 (-.f64 3 (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) (cos.f64 x)) (.f64 -1 (cos.f64 x))))) (.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) y) (.f64 257/256 (sin.f64 x))) (-.f64 (cos.f64 x) 1))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (*.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (.f64 3/2 (-.f64 (cos.f64 x) (.f64 (sqrt.f64 5) (cos.f64 x))))) (.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (pow.f64 (sin.f64 x) 4)) (-.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 3/2 (+.f64 (.f64 (sqrt.f64 5) (cos.f64 x)) (.f64 -1 (cos.f64 x))))) (*.f64 3/2 (sqrt.f64 5))))
(.f64 1/3 (.f64 (pow.f64 1 1/3) (/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 5/2 (.f64 (cos.f64 x) (-.f64 (.f64 1/2 (sqrt.f64 5)) 1/2))) (.f64 1/2 (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 (+.f64 (pow.f64 5 3/2) -1) (cos.f64 x)) (+.f64 6 (sqrt.f64 5))))) (.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 (.f64 (.f64 -1/16 (sqrt.f64 2)) (pow.f64 (sin.f64 y) 2)) (-.f64 (cos.f64 x) 1))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (.f64 (pow.f64 (sin.f64 x) 2) (.f64 -1/16 (sqrt.f64 2))) (-.f64 (cos.f64 x) 1))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (.f64 (sqrt.f64 2) (.f64 -1/16 (pow.f64 (sin.f64 y) 2))) (-.f64 (cos.f64 x) 1))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (.f64 (sin.f64 x) (.f64 (sqrt.f64 2) (+.f64 (.f64 -1/16 (sin.f64 x)) (.f64 y 257/256)))) (-.f64 (cos.f64 x) 1))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (.f64 (sin.f64 x) (.f64 (sqrt.f64 2) (+.f64 (.f64 -1/16 (sin.f64 x)) (.f64 y 257/256)))) (-.f64 (cos.f64 x) 1))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (/.f64 4 (+.f64 3 (sqrt.f64 5))) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (.f64 3/2 (hypot.f64 (.f64 (sqrt.f64 5) (cos.f64 x)) (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 (fma.f64 (.f64 (sqrt.f64 5) (cos.f64 x)) 3/2 (.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 (.f64 3/2 (pow.f64 (cbrt.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1))) 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 (.f64 (pow.f64 (sin.f64 x) 2) (.f64 -1/16 (sqrt.f64 2))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (sin.f64 x)) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) 1))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (.f64 (sin.f64 x) (.f64 (sqrt.f64 2) (+.f64 (.f64 -1/16 (sin.f64 x)) (.f64 y 257/256)))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) (sin.f64 y))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) 1))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (*.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (+.f64 (sin.f64 x) (.f64 y -1/16))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) 1))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (*.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (+.f64 (sin.f64 x) (.f64 y -1/16))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) 1))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (*.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 -1/16 (pow.f64 (sin.f64 x) 2)) (.f64 y (+.f64 (.f64 (sin.f64 x) 257/256) (.f64 -1/16 y))))) (-.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 1/3 (/.f64 (fma.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1))) 2) (+.f64 5/2 (fma.f64 (fma.f64 1/2 (sqrt.f64 5) -1/2) (cos.f64 x) (.f64 (sqrt.f64 5) -1/2)))))
(.f64 1/3 (/.f64 (fma.f64 -1/16 (.f64 (sqrt.f64 2) (*.f64 (+.f64 (cos.f64 x) -1) (pow.f64 (sin.f64 x) 2))) 2) (fma.f64 1/2 (fma.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1) (-.f64 3 (sqrt.f64 5))) 1)))
(/.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 (fma.f64 (cos.f64 x) (-.f64 (sqrt.f64 5) -1) (+.f64 (cos.f64 x) (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 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))

Outputs

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

(/.f64 (+.f64 2 (*.f64 -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 (*.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:

171.0ms	x
149.0ms	y

Results

Error	Segments	Branch
13.4b	3	`x`
15.0b	3	`y`

Compiler

Compiled 1839 to 1444 computations (21.5% saved)

bsearch508.0ms (1.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
274.0ms	0.0008216978115631814	0.010614883857199872
233.0ms	-5.6669773823078534e-5	-4.828291358731935e-7

Compiler

Compiled 57 to 44 computations (22.8% saved)

regimes302.0ms (0.9%)

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 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 x (.f64 x -3/4))))) (.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) (+.f64 (.f64 -1/2 (.f64 x x)) 1)))) (*.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))))) (fma.f64 x (*.f64 x (fma.f64 (sqrt.f64 5) -3/4 3/4)) 6))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (.f64 x x) (-.f64 (cos.f64 x) 1))))) (+.f64 (-.f64 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 45/4) -3/2)) (sqrt.f64 45/4)) 15/2))
(/.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 (.f64 x x) (-.f64 (cos.f64 x) 1))))) (fma.f64 (+.f64 (sqrt.f64 5) -1) (+.f64 (.f64 -3/4 (.f64 x x)) (*.f64 1/16 (pow.f64 x 4))) 6))
(/.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 (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 (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 (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 x (.f64 x -3/4))))) (*.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 (.f64 (sqrt.f64 2) (.f64 257/256 (.f64 y x))) (-.f64 (cos.f64 x) 1))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (*.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (.f64 3/2 (.f64 (cos.f64 x) (-.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 (.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 0 (.f64 (.f64 3/2 (cos.f64 x)) (+.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 (.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 1/3 (/.f64 (+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2)))) 2) (+.f64 1 (+.f64 (.f64 1/2 (.f64 (-.f64 3 (sqrt.f64 5)) (cos.f64 y))) (*.f64 1/2 (-.f64 (sqrt.f64 5) 1))))))
(.f64 1/3 (/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (+.f64 1 (+.f64 (.f64 1/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))) (*.f64 1/2 (-.f64 3 (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) (cos.f64 x)) (.f64 -1 (cos.f64 x))))) (.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) y) (.f64 257/256 (sin.f64 x))) (-.f64 (cos.f64 x) 1))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (*.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (.f64 3/2 (-.f64 (cos.f64 x) (.f64 (sqrt.f64 5) (cos.f64 x))))) (.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (pow.f64 (sin.f64 x) 4)) (-.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 3/2 (+.f64 (.f64 (sqrt.f64 5) (cos.f64 x)) (.f64 -1 (cos.f64 x))))) (*.f64 3/2 (sqrt.f64 5))))
(.f64 1/3 (.f64 (pow.f64 1 1/3) (/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 5/2 (.f64 (cos.f64 x) (-.f64 (.f64 1/2 (sqrt.f64 5)) 1/2))) (.f64 1/2 (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 (+.f64 (pow.f64 5 3/2) -1) (cos.f64 x)) (+.f64 6 (sqrt.f64 5))))) (.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 (.f64 (.f64 -1/16 (sqrt.f64 2)) (pow.f64 (sin.f64 y) 2)) (-.f64 (cos.f64 x) 1))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (.f64 (pow.f64 (sin.f64 x) 2) (.f64 -1/16 (sqrt.f64 2))) (-.f64 (cos.f64 x) 1))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (.f64 (sqrt.f64 2) (.f64 -1/16 (pow.f64 (sin.f64 y) 2))) (-.f64 (cos.f64 x) 1))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (.f64 (sin.f64 x) (.f64 (sqrt.f64 2) (+.f64 (.f64 -1/16 (sin.f64 x)) (.f64 y 257/256)))) (-.f64 (cos.f64 x) 1))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (.f64 (sin.f64 x) (.f64 (sqrt.f64 2) (+.f64 (.f64 -1/16 (sin.f64 x)) (.f64 y 257/256)))) (-.f64 (cos.f64 x) 1))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (/.f64 4 (+.f64 3 (sqrt.f64 5))) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (.f64 3/2 (hypot.f64 (.f64 (sqrt.f64 5) (cos.f64 x)) (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 (fma.f64 (.f64 (sqrt.f64 5) (cos.f64 x)) 3/2 (.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 (.f64 3/2 (pow.f64 (cbrt.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1))) 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 (.f64 (pow.f64 (sin.f64 x) 2) (.f64 -1/16 (sqrt.f64 2))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (sin.f64 x)) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) 1))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (.f64 (sin.f64 x) (.f64 (sqrt.f64 2) (+.f64 (.f64 -1/16 (sin.f64 x)) (.f64 y 257/256)))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) (sin.f64 y))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) 1))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (*.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (+.f64 (sin.f64 x) (.f64 y -1/16))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) 1))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (*.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (+.f64 (sin.f64 x) (.f64 y -1/16))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) 1))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (*.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 -1/16 (pow.f64 (sin.f64 x) 2)) (.f64 y (+.f64 (.f64 (sin.f64 x) 257/256) (.f64 -1/16 y))))) (-.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 1/3 (/.f64 (fma.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1))) 2) (+.f64 5/2 (fma.f64 (fma.f64 1/2 (sqrt.f64 5) -1/2) (cos.f64 x) (.f64 (sqrt.f64 5) -1/2)))))
(.f64 1/3 (/.f64 (fma.f64 -1/16 (.f64 (sqrt.f64 2) (*.f64 (+.f64 (cos.f64 x) -1) (pow.f64 (sin.f64 x) 2))) 2) (fma.f64 1/2 (fma.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1) (-.f64 3 (sqrt.f64 5))) 1)))
(/.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 (fma.f64 (cos.f64 x) (-.f64 (sqrt.f64 5) -1) (+.f64 (cos.f64 x) (cos.f64 x))))) (*.f64 3/2 (sqrt.f64 5))))

Outputs

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

(/.f64 (+.f64 2 (*.f64 -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 (*.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:

131.0ms	y
88.0ms	x

Results

Error	Segments	Branch
14.5b	3	`x`
15.0b	3	`y`

Compiler

Compiled 1794 to 1414 computations (21.2% saved)

bsearch292.0ms (0.8%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
135.0ms	0.0008216978115631814	0.010614883857199872
155.0ms	-5.6669773823078534e-5	-4.828291358731935e-7

Compiler

Compiled 57 to 44 computations (22.8% saved)

regimes193.0ms (0.6%)

Counts

41 → 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 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 x (.f64 x -3/4))))) (.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) (+.f64 (.f64 -1/2 (.f64 x x)) 1)))) (*.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))))) (fma.f64 x (*.f64 x (fma.f64 (sqrt.f64 5) -3/4 3/4)) 6))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (.f64 x x) (-.f64 (cos.f64 x) 1))))) (+.f64 (-.f64 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 45/4) -3/2)) (sqrt.f64 45/4)) 15/2))
(/.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 (.f64 x x) (-.f64 (cos.f64 x) 1))))) (fma.f64 (+.f64 (sqrt.f64 5) -1) (+.f64 (.f64 -3/4 (.f64 x x)) (*.f64 1/16 (pow.f64 x 4))) 6))
(/.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 (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 (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 (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 x (.f64 x -3/4))))) (*.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 (.f64 (sqrt.f64 2) (.f64 257/256 (.f64 y x))) (-.f64 (cos.f64 x) 1))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (*.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (.f64 3/2 (.f64 (cos.f64 x) (-.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 (.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 0 (.f64 (.f64 3/2 (cos.f64 x)) (+.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 (.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 1/3 (/.f64 (+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2)))) 2) (+.f64 1 (+.f64 (.f64 1/2 (.f64 (-.f64 3 (sqrt.f64 5)) (cos.f64 y))) (*.f64 1/2 (-.f64 (sqrt.f64 5) 1))))))
(.f64 1/3 (/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (+.f64 1 (+.f64 (.f64 1/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))) (*.f64 1/2 (-.f64 3 (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) (cos.f64 x)) (.f64 -1 (cos.f64 x))))) (.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) y) (.f64 257/256 (sin.f64 x))) (-.f64 (cos.f64 x) 1))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (*.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (.f64 3/2 (-.f64 (cos.f64 x) (.f64 (sqrt.f64 5) (cos.f64 x))))) (.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (pow.f64 (sin.f64 x) 4)) (-.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 3/2 (+.f64 (.f64 (sqrt.f64 5) (cos.f64 x)) (.f64 -1 (cos.f64 x))))) (*.f64 3/2 (sqrt.f64 5))))
(.f64 1/3 (.f64 (pow.f64 1 1/3) (/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 5/2 (.f64 (cos.f64 x) (-.f64 (.f64 1/2 (sqrt.f64 5)) 1/2))) (.f64 1/2 (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 (+.f64 (pow.f64 5 3/2) -1) (cos.f64 x)) (+.f64 6 (sqrt.f64 5))))) (.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 (.f64 (.f64 -1/16 (sqrt.f64 2)) (pow.f64 (sin.f64 y) 2)) (-.f64 (cos.f64 x) 1))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (.f64 (pow.f64 (sin.f64 x) 2) (.f64 -1/16 (sqrt.f64 2))) (-.f64 (cos.f64 x) 1))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (.f64 (sqrt.f64 2) (.f64 -1/16 (pow.f64 (sin.f64 y) 2))) (-.f64 (cos.f64 x) 1))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (.f64 (sin.f64 x) (.f64 (sqrt.f64 2) (+.f64 (.f64 -1/16 (sin.f64 x)) (.f64 y 257/256)))) (-.f64 (cos.f64 x) 1))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (.f64 (sin.f64 x) (.f64 (sqrt.f64 2) (+.f64 (.f64 -1/16 (sin.f64 x)) (.f64 y 257/256)))) (-.f64 (cos.f64 x) 1))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (/.f64 4 (+.f64 3 (sqrt.f64 5))) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (.f64 3/2 (hypot.f64 (.f64 (sqrt.f64 5) (cos.f64 x)) (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 (fma.f64 (.f64 (sqrt.f64 5) (cos.f64 x)) 3/2 (.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 (.f64 3/2 (pow.f64 (cbrt.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1))) 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 (.f64 (pow.f64 (sin.f64 x) 2) (.f64 -1/16 (sqrt.f64 2))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))

Outputs

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

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

Calls

2 calls:

96.0ms	x
59.0ms	y

Results

Error	Segments	Branch
14.6b	3	`x`
15.0b	3	`y`

Compiler

Compiled 1409 to 1127 computations (20% saved)

bsearch344.0ms (1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
185.0ms	0.0008216978115631814	0.010614883857199872
159.0ms	-5.6669773823078534e-5	-4.828291358731935e-7

Compiler

Compiled 57 to 44 computations (22.8% saved)

regimes288.0ms (0.8%)

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 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 x (.f64 x -3/4))))) (.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) (+.f64 (.f64 -1/2 (.f64 x x)) 1)))) (*.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))))) (fma.f64 x (*.f64 x (fma.f64 (sqrt.f64 5) -3/4 3/4)) 6))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (.f64 x x) (-.f64 (cos.f64 x) 1))))) (+.f64 (-.f64 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 45/4) -3/2)) (sqrt.f64 45/4)) 15/2))
(/.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 (.f64 x x) (-.f64 (cos.f64 x) 1))))) (fma.f64 (+.f64 (sqrt.f64 5) -1) (+.f64 (.f64 -3/4 (.f64 x x)) (*.f64 1/16 (pow.f64 x 4))) 6))
(/.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 (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 (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 (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 x (.f64 x -3/4))))) (*.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 (.f64 (sqrt.f64 2) (.f64 257/256 (.f64 y x))) (-.f64 (cos.f64 x) 1))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (*.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (.f64 3/2 (.f64 (cos.f64 x) (-.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 (.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 0 (.f64 (.f64 3/2 (cos.f64 x)) (+.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 (.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 1/3 (/.f64 (+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2)))) 2) (+.f64 1 (+.f64 (.f64 1/2 (.f64 (-.f64 3 (sqrt.f64 5)) (cos.f64 y))) (*.f64 1/2 (-.f64 (sqrt.f64 5) 1))))))
(.f64 1/3 (/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (+.f64 1 (+.f64 (.f64 1/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))) (*.f64 1/2 (-.f64 3 (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) (cos.f64 x)) (.f64 -1 (cos.f64 x))))) (.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) y) (.f64 257/256 (sin.f64 x))) (-.f64 (cos.f64 x) 1))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (*.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (.f64 3/2 (-.f64 (cos.f64 x) (.f64 (sqrt.f64 5) (cos.f64 x))))) (.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (pow.f64 (sin.f64 x) 4)) (-.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 3/2 (+.f64 (.f64 (sqrt.f64 5) (cos.f64 x)) (.f64 -1 (cos.f64 x))))) (*.f64 3/2 (sqrt.f64 5))))
(.f64 1/3 (.f64 (pow.f64 1 1/3) (/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 5/2 (.f64 (cos.f64 x) (-.f64 (.f64 1/2 (sqrt.f64 5)) 1/2))) (.f64 1/2 (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 (+.f64 (pow.f64 5 3/2) -1) (cos.f64 x)) (+.f64 6 (sqrt.f64 5))))) (.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 (.f64 (.f64 -1/16 (sqrt.f64 2)) (pow.f64 (sin.f64 y) 2)) (-.f64 (cos.f64 x) 1))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (.f64 (pow.f64 (sin.f64 x) 2) (.f64 -1/16 (sqrt.f64 2))) (-.f64 (cos.f64 x) 1))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (.f64 (sqrt.f64 2) (.f64 -1/16 (pow.f64 (sin.f64 y) 2))) (-.f64 (cos.f64 x) 1))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (.f64 (sin.f64 x) (.f64 (sqrt.f64 2) (+.f64 (.f64 -1/16 (sin.f64 x)) (.f64 y 257/256)))) (-.f64 (cos.f64 x) 1))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (.f64 (sin.f64 x) (.f64 (sqrt.f64 2) (+.f64 (.f64 -1/16 (sin.f64 x)) (.f64 y 257/256)))) (-.f64 (cos.f64 x) 1))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (/.f64 4 (+.f64 3 (sqrt.f64 5))) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (.f64 3/2 (hypot.f64 (.f64 (sqrt.f64 5) (cos.f64 x)) (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 (fma.f64 (.f64 (sqrt.f64 5) (cos.f64 x)) 3/2 (.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 (.f64 3/2 (pow.f64 (cbrt.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1))) 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))))

Outputs

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

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

Calls

2 calls:

146.0ms	x
63.0ms	y

Results

Error	Segments	Branch
14.6b	3	`x`
15.0b	3	`y`

Compiler

Compiled 1368 to 1096 computations (19.9% saved)

bsearch401.0ms (1.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
221.0ms	0.0008216978115631814	0.010614883857199872
179.0ms	-5.6669773823078534e-5	-4.828291358731935e-7

Compiler

Compiled 57 to 44 computations (22.8% saved)

regimes180.0ms (0.5%)

Counts

32 → 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 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 x (.f64 x -3/4))))) (.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) (+.f64 (.f64 -1/2 (.f64 x x)) 1)))) (*.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))))) (fma.f64 x (*.f64 x (fma.f64 (sqrt.f64 5) -3/4 3/4)) 6))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (.f64 x x) (-.f64 (cos.f64 x) 1))))) (+.f64 (-.f64 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 45/4) -3/2)) (sqrt.f64 45/4)) 15/2))
(/.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 (.f64 x x) (-.f64 (cos.f64 x) 1))))) (fma.f64 (+.f64 (sqrt.f64 5) -1) (+.f64 (.f64 -3/4 (.f64 x x)) (*.f64 1/16 (pow.f64 x 4))) 6))
(/.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 (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 (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 (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 x (.f64 x -3/4))))) (*.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 (.f64 (sqrt.f64 2) (.f64 257/256 (.f64 y x))) (-.f64 (cos.f64 x) 1))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (*.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (.f64 3/2 (.f64 (cos.f64 x) (-.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 (.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 0 (.f64 (.f64 3/2 (cos.f64 x)) (+.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 (.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 1/3 (/.f64 (+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2)))) 2) (+.f64 1 (+.f64 (.f64 1/2 (.f64 (-.f64 3 (sqrt.f64 5)) (cos.f64 y))) (*.f64 1/2 (-.f64 (sqrt.f64 5) 1))))))
(.f64 1/3 (/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (+.f64 1 (+.f64 (.f64 1/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))) (*.f64 1/2 (-.f64 3 (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) (cos.f64 x)) (.f64 -1 (cos.f64 x))))) (.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) y) (.f64 257/256 (sin.f64 x))) (-.f64 (cos.f64 x) 1))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (*.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (.f64 3/2 (-.f64 (cos.f64 x) (.f64 (sqrt.f64 5) (cos.f64 x))))) (.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (pow.f64 (sin.f64 x) 4)) (-.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 3/2 (+.f64 (.f64 (sqrt.f64 5) (cos.f64 x)) (.f64 -1 (cos.f64 x))))) (*.f64 3/2 (sqrt.f64 5))))
(.f64 1/3 (.f64 (pow.f64 1 1/3) (/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 5/2 (.f64 (cos.f64 x) (-.f64 (.f64 1/2 (sqrt.f64 5)) 1/2))) (.f64 1/2 (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 (+.f64 (pow.f64 5 3/2) -1) (cos.f64 x)) (+.f64 6 (sqrt.f64 5))))) (.f64 3/2 (sqrt.f64 5))))
(/.f64 (+.f64 2 (.f64 (.f64 (.f64 -1/16 (sqrt.f64 2)) (pow.f64 (sin.f64 y) 2)) (-.f64 (cos.f64 x) 1))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))

Outputs

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

Calls

2 calls:

88.0ms	y
62.0ms	x

Results

Error	Segments	Branch
15.0b	3	`x`
15.1b	3	`y`

Compiler

Compiled 1055 to 849 computations (19.5% saved)

bsearch647.0ms (1.9%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
202.0ms	0.0008216978115631814	0.010614883857199872
443.0ms	-5.6669773823078534e-5	-4.828291358731935e-7

Compiler

Compiled 57 to 44 computations (22.8% saved)

regimes109.0ms (0.3%)

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 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 x (.f64 x -3/4))))) (.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) (+.f64 (.f64 -1/2 (.f64 x x)) 1)))) (*.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))))) (fma.f64 x (*.f64 x (fma.f64 (sqrt.f64 5) -3/4 3/4)) 6))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (.f64 x x) (-.f64 (cos.f64 x) 1))))) (+.f64 (-.f64 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 45/4) -3/2)) (sqrt.f64 45/4)) 15/2))
(/.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 (.f64 x x) (-.f64 (cos.f64 x) 1))))) (fma.f64 (+.f64 (sqrt.f64 5) -1) (+.f64 (.f64 -3/4 (.f64 x x)) (*.f64 1/16 (pow.f64 x 4))) 6))
(/.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 (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 (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 (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 x (.f64 x -3/4))))) (*.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 (.f64 (sqrt.f64 2) (.f64 257/256 (.f64 y x))) (-.f64 (cos.f64 x) 1))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (*.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (.f64 3/2 (.f64 (cos.f64 x) (-.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 (.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 0 (.f64 (.f64 3/2 (cos.f64 x)) (+.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 (.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 1/3 (/.f64 (+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2)))) 2) (+.f64 1 (+.f64 (.f64 1/2 (.f64 (-.f64 3 (sqrt.f64 5)) (cos.f64 y))) (*.f64 1/2 (-.f64 (sqrt.f64 5) 1))))))

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 (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 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))))

Calls

2 calls:

47.0ms	y
42.0ms	x

Results

Error	Segments	Branch
15.0b	3	`x`
15.2b	3	`y`

Compiler

Compiled 716 to 577 computations (19.4% saved)

bsearch324.0ms (0.9%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
153.0ms	0.0008216978115631814	0.010614883857199872
170.0ms	-5.6669773823078534e-5	-4.828291358731935e-7

Compiler

Compiled 57 to 44 computations (22.8% saved)

regimes68.0ms (0.2%)

Counts

21 → 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 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 x (.f64 x -3/4))))) (.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) (+.f64 (.f64 -1/2 (.f64 x x)) 1)))) (*.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))))) (fma.f64 x (*.f64 x (fma.f64 (sqrt.f64 5) -3/4 3/4)) 6))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (.f64 x x) (-.f64 (cos.f64 x) 1))))) (+.f64 (-.f64 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 45/4) -3/2)) (sqrt.f64 45/4)) 15/2))
(/.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 (.f64 x x) (-.f64 (cos.f64 x) 1))))) (fma.f64 (+.f64 (sqrt.f64 5) -1) (+.f64 (.f64 -3/4 (.f64 x x)) (*.f64 1/16 (pow.f64 x 4))) 6))
(/.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 (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 (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 (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 x (.f64 x -3/4))))) (*.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 (.f64 (sqrt.f64 2) (.f64 257/256 (.f64 y x))) (-.f64 (cos.f64 x) 1))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (*.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (.f64 3/2 (.f64 (cos.f64 x) (-.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 (.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 0 (.f64 (.f64 3/2 (cos.f64 x)) (+.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 (.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 3/2 (/.f64 (*.f64 (cos.f64 x) 4) (+.f64 1 (sqrt.f64 5))))) (*.f64 3/2 (sqrt.f64 5))))

Calls

2 calls:

13.0ms	y
13.0ms	x

Results

Error	Segments	Branch
25.5b	1	`x`
25.5b	1	`y`

Compiler

Compiled 644 to 516 computations (19.9% saved)

regimes82.0ms (0.2%)

Counts

20 → 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 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 x (.f64 x -3/4))))) (.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) (+.f64 (.f64 -1/2 (.f64 x x)) 1)))) (*.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))))) (fma.f64 x (*.f64 x (fma.f64 (sqrt.f64 5) -3/4 3/4)) 6))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (.f64 x x) (-.f64 (cos.f64 x) 1))))) (+.f64 (-.f64 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 45/4) -3/2)) (sqrt.f64 45/4)) 15/2))
(/.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 (.f64 x x) (-.f64 (cos.f64 x) 1))))) (fma.f64 (+.f64 (sqrt.f64 5) -1) (+.f64 (.f64 -3/4 (.f64 x x)) (*.f64 1/16 (pow.f64 x 4))) 6))
(/.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 (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 (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 (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 x (.f64 x -3/4))))) (*.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 (.f64 (sqrt.f64 2) (.f64 257/256 (.f64 y x))) (-.f64 (cos.f64 x) 1))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (*.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (.f64 3/2 (.f64 (cos.f64 x) (-.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 (.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 0 (.f64 (.f64 3/2 (cos.f64 x)) (+.f64 (sqrt.f64 5) -1)))) (.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 0 (*.f64 (*.f64 3/2 (cos.f64 x)) (+.f64 (sqrt.f64 5) -1)))) (*.f64 3/2 (sqrt.f64 5))))

Calls

2 calls:

12.0ms	y
11.0ms	x

Results

Error	Segments	Branch
25.5b	1	`x`
25.5b	1	`y`

Compiler

Compiled 609 to 487 computations (20% saved)

regimes54.0ms (0.2%)

Counts

19 → 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 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 x (.f64 x -3/4))))) (.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) (+.f64 (.f64 -1/2 (.f64 x x)) 1)))) (*.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))))) (fma.f64 x (*.f64 x (fma.f64 (sqrt.f64 5) -3/4 3/4)) 6))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (.f64 x x) (-.f64 (cos.f64 x) 1))))) (+.f64 (-.f64 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 45/4) -3/2)) (sqrt.f64 45/4)) 15/2))
(/.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 (.f64 x x) (-.f64 (cos.f64 x) 1))))) (fma.f64 (+.f64 (sqrt.f64 5) -1) (+.f64 (.f64 -3/4 (.f64 x x)) (*.f64 1/16 (pow.f64 x 4))) 6))
(/.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 (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 (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 (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 x (.f64 x -3/4))))) (*.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 (.f64 (sqrt.f64 2) (.f64 257/256 (.f64 y x))) (-.f64 (cos.f64 x) 1))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (*.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (.f64 3/2 (.f64 (cos.f64 x) (-.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 (.f64 3/2 (.f64 (-.f64 (sqrt.f64 5) 1) (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:

28.0ms	y
11.0ms	x

Results

Error	Segments	Branch
25.5b	1	`x`
25.5b	1	`y`

Compiler

Compiled 574 to 458 computations (20.2% saved)

regimes65.0ms (0.2%)

Counts

15 → 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 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 x (.f64 x -3/4))))) (.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) (+.f64 (.f64 -1/2 (.f64 x x)) 1)))) (*.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))))) (fma.f64 x (*.f64 x (fma.f64 (sqrt.f64 5) -3/4 3/4)) 6))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (.f64 x x) (-.f64 (cos.f64 x) 1))))) (+.f64 (-.f64 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 45/4) -3/2)) (sqrt.f64 45/4)) 15/2))
(/.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 (.f64 x x) (-.f64 (cos.f64 x) 1))))) (fma.f64 (+.f64 (sqrt.f64 5) -1) (+.f64 (.f64 -3/4 (.f64 x x)) (*.f64 1/16 (pow.f64 x 4))) 6))
(/.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 (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 (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 (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 x (.f64 x -3/4))))) (*.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 3/2 (-.f64 (sqrt.f64 5) 1))) (*.f64 3/2 (sqrt.f64 5))))

Calls

2 calls:

43.0ms	x
10.0ms	y

Results

Error	Segments	Branch
38.6b	1	`x`
38.6b	1	`y`

Compiler

Compiled 432 to 341 computations (21.1% saved)

regimes30.0ms (0.1%)

Accuracy

Total -6.6b remaining (-17%)

Threshold costs -6.6b (-17%)

Counts

11 → 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 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 x (.f64 x -3/4))))) (.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) (+.f64 (.f64 -1/2 (.f64 x x)) 1)))) (*.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))))) (fma.f64 x (*.f64 x (fma.f64 (sqrt.f64 5) -3/4 3/4)) 6))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (.f64 x x) (-.f64 (cos.f64 x) 1))))) (+.f64 (-.f64 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 45/4) -3/2)) (sqrt.f64 45/4)) 15/2))
(/.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 (.f64 x x) (-.f64 (cos.f64 x) 1))))) (fma.f64 (+.f64 (sqrt.f64 5) -1) (+.f64 (.f64 -3/4 (.f64 x x)) (*.f64 1/16 (pow.f64 x 4))) 6))
(/.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 (cos.f64 x) 4) (+.f64 1 (sqrt.f64 5))))) (*.f64 3/2 (sqrt.f64 5))))

Outputs
1/3

Calls

2 calls:

16.0ms	y
6.0ms	x

Results

Error	Segments	Branch
38.6b	1	`x`
38.6b	1	`y`

Compiler

Compiled 302 to 231 computations (23.5% saved)

simplify151.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

71×	`*-commutative_binary64`
68×	`+-commutative_binary64`
30×	`sub-neg_binary64`
16×	`cancel-sign-sub-inv_binary64`
12×	`neg-sub0_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	224	2674
1	383	2674
2	434	2674
3	458	2674
4	470	2674
5	471	2674

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(/.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 (sqrt.f64 45/4)) 3)))
(/.f64 (/.f64 (fma.f64 (.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16))) (.f64 (-.f64 (sin.f64 y) (.f64 (sin.f64 x) 1/16)) (-.f64 (cos.f64 x) (cos.f64 y))) 2) 3) (fma.f64 (cos.f64 y) (-.f64 3/2 (sqrt.f64 5/4)) (fma.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) -1/2) 1)))
(.f64 1/3 (/.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 1 (+.f64 (.f64 1/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))) (.f64 1/2 (.f64 (-.f64 3 (sqrt.f64 5)) (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 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 (neg.f64 (sqrt.f64 45/4)) 9/2)) (.f64 3/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))))))
(if (<=.f64 x -50793593239381360/18446744073709551616) (/.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 15157649235833224/18446744073709551616) (/.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 (.f64 3/2 (sqrt.f64 5)))) (.f64 (+.f64 (sqrt.f64 5) -1) (+.f64 3/2 (.f64 x (.f64 x -3/4))))))) (/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (sin.f64 x)) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))))
(if (<=.f64 x -553501753952995/281474976710656) (/.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 15157649235833224/18446744073709551616) (/.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) (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 -50793593239381360/18446744073709551616) (/.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 15157649235833224/18446744073709551616) (/.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 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) (cos.f64 y)))) (.f64 3 (+.f64 (+.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 -8362982515434677/147573952589676412928) (/.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 15157649235833224/18446744073709551616) (/.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 (.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)))))))
(if (<=.f64 x -8362982515434677/147573952589676412928) (/.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 15157649235833224/18446744073709551616) (/.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 (.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 -8362982515434677/147573952589676412928) (/.f64 (+.f64 2 (.f64 (.f64 (pow.f64 (sin.f64 x) 2) (.f64 -1/16 (sqrt.f64 2))) (-.f64 (cos.f64 x) 1))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y))))) (if (<=.f64 x 15157649235833224/18446744073709551616) (/.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 (.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 -8362982515434677/147573952589676412928) (/.f64 (+.f64 2 (.f64 (.f64 (pow.f64 (sin.f64 x) 2) (.f64 -1/16 (sqrt.f64 2))) (-.f64 (cos.f64 x) 1))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y))))) (if (<=.f64 x 15157649235833224/18446744073709551616) (/.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 (.f64 (pow.f64 (sin.f64 x) 2) (.f64 -1/16 (sqrt.f64 2))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))))
(if (<=.f64 x -8362982515434677/147573952589676412928) (/.f64 (+.f64 2 (.f64 (.f64 (pow.f64 (sin.f64 x) 2) (.f64 -1/16 (sqrt.f64 2))) (-.f64 (cos.f64 x) 1))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y))))) (if (<=.f64 x 15157649235833224/18446744073709551616) (/.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 (.f64 (pow.f64 (sin.f64 x) 2) (.f64 -1/16 (sqrt.f64 2))) (-.f64 (cos.f64 x) 1))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))))
(if (<=.f64 x -8362982515434677/147573952589676412928) (.f64 1/3 (/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (+.f64 1 (+.f64 (.f64 1/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))) (.f64 1/2 (-.f64 3 (sqrt.f64 5))))))) (if (<=.f64 x 15157649235833224/18446744073709551616) (/.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 1/3 (/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (+.f64 1 (+.f64 (.f64 1/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))) (.f64 1/2 (-.f64 3 (sqrt.f64 5)))))))))
(if (<=.f64 x -8362982515434677/147573952589676412928) (/.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)))) (if (<=.f64 x 15157649235833224/18446744073709551616) (/.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 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 (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 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (-.f64 (+.f64 15/2 (+.f64 0 (.f64 (.f64 3/2 (cos.f64 x)) (+.f64 (sqrt.f64 5) -1)))) (.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 3/2 (-.f64 (sqrt.f64 5) 1))) (*.f64 3/2 (sqrt.f64 5))))
1/3

Outputs
(/.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 (sqrt.f64 45/4)) 3)))
(/.f64 (fma.f64 (sqrt.f64 2) (.f64 (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (+.f64 (sin.f64 x) (.f64 (sin.f64 y) -1/16))) (+.f64 (sin.f64 y) (.f64 -1/16 (sin.f64 x)))) 2) (fma.f64 (cos.f64 x) (pow.f64 (cbrt.f64 (*.f64 3/2 (+.f64 (sqrt.f64 5) -1))) 3) (fma.f64 (cos.f64 y) (-.f64 9/2 (sqrt.f64 45/4)) 3)))
(/.f64 (/.f64 (fma.f64 (.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16))) (.f64 (-.f64 (sin.f64 y) (.f64 (sin.f64 x) 1/16)) (-.f64 (cos.f64 x) (cos.f64 y))) 2) 3) (fma.f64 (cos.f64 y) (-.f64 3/2 (sqrt.f64 5/4)) (fma.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) -1/2) 1)))
(/.f64 (/.f64 (fma.f64 (.f64 (sqrt.f64 2) (+.f64 (sin.f64 x) (.f64 (sin.f64 y) -1/16))) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (+.f64 (sin.f64 y) (.f64 -1/16 (sin.f64 x)))) 2) 3) (fma.f64 (cos.f64 y) (-.f64 3/2 (sqrt.f64 5/4)) (fma.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) -1/2) 1)))
(.f64 1/3 (/.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 1 (+.f64 (.f64 1/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))) (.f64 1/2 (.f64 (-.f64 3 (sqrt.f64 5)) (cos.f64 y)))))))
(.f64 1/3 (/.f64 (+.f64 2 (.f64 (sqrt.f64 2) (.f64 (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (+.f64 (sin.f64 x) (.f64 (sin.f64 y) -1/16))) (+.f64 (sin.f64 y) (.f64 -1/16 (sin.f64 x)))))) (+.f64 1 (+.f64 (.f64 1/2 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1))) (.f64 1/2 (.f64 (cos.f64 y) (-.f64 3 (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 (+.f64 9/2 (sqrt.f64 45/4)))) (.f64 3/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))))))
(/.f64 (+.f64 2 (.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (+.f64 (sin.f64 y) (.f64 -1/16 (sin.f64 x))) (+.f64 (sin.f64 x) (.f64 (sin.f64 y) -1/16)))))) (+.f64 3 (+.f64 (.f64 (cos.f64 y) (/.f64 9 (+.f64 9/2 (sqrt.f64 45/4)))) (.f64 3/2 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1))))))
(/.f64 (+.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (+.f64 (.f64 -1/16 (sin.f64 y)) (sin.f64 x)) (+.f64 (.f64 -1/16 (sin.f64 x)) (sin.f64 y))))) 2) (+.f64 3 (+.f64 (.f64 (cos.f64 y) (+.f64 (neg.f64 (sqrt.f64 45/4)) 9/2)) (.f64 3/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))))))
(/.f64 (+.f64 2 (.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (+.f64 (sin.f64 y) (.f64 -1/16 (sin.f64 x))) (+.f64 (sin.f64 x) (.f64 (sin.f64 y) -1/16)))))) (+.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 -8362982515434677/147573952589676412928) (.f64 1/3 (/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1))))) (+.f64 1 (+.f64 (.f64 1/2 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1))) (.f64 1/2 (-.f64 3 (sqrt.f64 5))))))) (if (<=.f64 x 1894706154479153/2305843009213693952) (/.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 1/3 (/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1))))) (+.f64 1 (+.f64 (.f64 1/2 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1))) (.f64 1/2 (-.f64 3 (sqrt.f64 5)))))))))
(if (<=.f64 x -8362982515434677/147573952589676412928) (/.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)))) (if (<=.f64 x 15157649235833224/18446744073709551616) (/.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 3/2 (/.f64 (.f64 (cos.f64 x) 4) (+.f64 1 (sqrt.f64 5))))) (.f64 3/2 (sqrt.f64 5))))))
(if (<=.f64 x -8362982515434677/147573952589676412928) (/.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 (sqrt.f64 5) 1)))) (.f64 -3/2 (sqrt.f64 5)))) (if (<=.f64 x 1894706154479153/2305843009213693952) (/.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 3/2 (/.f64 (.f64 (cos.f64 x) 4) (+.f64 (sqrt.f64 5) 1)))) (.f64 -3/2 (sqrt.f64 5))))))
(if (<=.f64 x -8362982515434677/147573952589676412928) (/.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 (sqrt.f64 5) 1)))) (.f64 (sqrt.f64 5) -3/2))) (if (<=.f64 x 1894706154479153/2305843009213693952) (/.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 3/2 (/.f64 (.f64 (cos.f64 x) 4) (+.f64 (sqrt.f64 5) 1)))) (.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 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 (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 (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 (.f64 3/2 (/.f64 (.f64 (cos.f64 x) 4) (+.f64 (sqrt.f64 5) 1)))) (.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 0 (.f64 (.f64 3/2 (cos.f64 x)) (+.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 (.f64 (+.f64 (sqrt.f64 5) -1) (.f64 (cos.f64 x) 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 (sqrt.f64 5) -1) (.f64 (cos.f64 x) 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 -1/2 (cos.f64 (+.f64 x x)))))))) (+.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 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 (.f64 3/2 (+.f64 (sqrt.f64 5) -1)) 15/2) (*.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 (.f64 3/2 (+.f64 (sqrt.f64 5) -1)) 15/2) (*.f64 (sqrt.f64 5) -3/2)))
1/3

Compiler

Compiled 1730 to 1354 computations (21.7% saved)

soundness124.0ms (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)

end924.0ms (2.7%)

Compiler: Compiled 1692 to 1243 computations (26.5% saved)