Details

analyze279.0ms (0.9%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
50%	50%	50%	0.1%	0%	0%	0%	4
75%	74.9%	25%	0.1%	0%	0%	0%	5
75%	74.9%	25%	0.1%	0%	0%	0%	6
75%	74.9%	25%	0.1%	0%	0%	0%	7
75%	74.9%	25%	0.1%	0%	0%	0%	8
75%	74.9%	25%	0.1%	0%	0%	0%	9
75%	74.9%	25%	0.1%	0%	0%	0%	10
75%	74.9%	25%	0.1%	0%	0%	0%	11
75%	74.9%	25%	0.1%	0%	0%	0%	12

Compiler

Compiled 53 to 41 computations (22.6% saved)

sample7.5s (24.5%)

Results

5.2s	3691×	body	1024	valid
1.3s	3185×	body	256	valid
981.0ms	1361×	body	512	valid
34.0ms	19×	body	2048	valid

Bogosity

preprocess56.0ms (0.2%)

Algorithm

2×	egg-herbie

Rules

1470×	`associate-*r/`
1198×	`associate-*l/`
1008×	`associate-r`
958×	`fma-def`
908×	`distribute-lft-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	318
1	122	294
2	337	294
3	1165	290
4	4680	282
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 (.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 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) (*.f64 3 (fma.f64 (cos.f64 x) (/.f64 (+.f64 (sqrt.f64 5) -1) 2) (fma.f64 (cos.f64 y) (/.f64 (-.f64 3 (sqrt.f64 5)) 2) 1))))
(/.f64 (fma.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 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 (cos.f64 y) (/.f64 (-.f64 3 (sqrt.f64 5)) 2/3) (+.f64 3 (/.f64 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) 2/3))))
(/.f64 (fma.f64 (sqrt.f64 2) (.f64 (-.f64 (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) (fma.f64 (cos.f64 y) (*.f64 3/2 (-.f64 3 (sqrt.f64 5))) (fma.f64 (cos.f64 x) (/.f64 (+.f64 (sqrt.f64 5) -1) 2/3) 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 (fma.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)) (.f64 (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16)) (-.f64 (cos.f64 y) (cos.f64 x)))) 2) (*.f64 3 (fma.f64 (cos.f64 x) (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (fma.f64 (cos.f64 y) (/.f64 (+.f64 (sqrt.f64 5) -1) 2) 1))))
(/.f64 (fma.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)) (.f64 (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16)) (.f64 (sqrt.f64 2) (-.f64 (cos.f64 y) (cos.f64 x)))) 2) (+.f64 3 (fma.f64 (cos.f64 x) (/.f64 (-.f64 3 (sqrt.f64 5)) 2/3) (/.f64 (*.f64 (cos.f64 y) (+.f64 (sqrt.f64 5) -1)) 2/3))))
(/.f64 (fma.f64 (.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 (cos.f64 y) (cos.f64 x))) 2) (fma.f64 (cos.f64 x) (*.f64 3/2 (-.f64 3 (sqrt.f64 5))) (fma.f64 (cos.f64 y) (/.f64 (+.f64 (sqrt.f64 5) -1) 2/3) 3)))

Compiler

Compiled 54 to 42 computations (22.2% saved)

simplify40.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1766×	`associate-+r+`
1180×	`associate-+l+`
836×	`distribute-lft-neg-out`
786×	`distribute-rgt-neg-out`
776×	`associate-*r/`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	35	159
1	82	147
2	206	147
3	671	145
4	2551	141

Stop Event

1×	node limit

Counts

1 → 6

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

eval4.0ms (0%)

Compiler: Compiled 287 to 190 computations (33.8% saved)

prune50.0ms (0.2%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Kept	Total
New	6	6
Fresh	1	1
Picked	0	0
Done	0	0
Total	7	7

Error

0.3b

Counts

7 → 6

Alt Table

Click to see full alt table

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

Compiler

Compiled 594 to 450 computations (24.2% saved)

localize74.0ms (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 3/2 (-.f64 3 (sqrt.f64 5))) 3)))
✓	1.0b	(-.f64 3 (sqrt.f64 5))
✓	1.0b	(/.f64 (+.f64 (sqrt.f64 5) -1) 2/3)
✓	1.4b	(-.f64 (cos.f64 x) (cos.f64 y))

Compiler

Compiled 203 to 123 computations (39.4% saved)

series19.0ms (0.1%)

Counts

4 → 32

Calls

12 calls:

Time	Variable		Point	Expression
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 3/2 (-.f64 3 (sqrt.f64 5))) 3)))
3.0ms	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 3/2 (-.f64 3 (sqrt.f64 5))) 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 3/2 (-.f64 3 (sqrt.f64 5))) 3)))
2.0ms	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 3/2 (-.f64 3 (sqrt.f64 5))) 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 3/2 (-.f64 3 (sqrt.f64 5))) 3)))

rewrite65.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

766×	`add-sqr-sqrt`
734×	`pow1`
734×	`*-un-lft-identity`
712×	`add-exp-log`
712×	`add-cbrt-cube`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	184
1	750	184

Stop Event

1×	node limit

Counts

4 → 72

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 x) (neg.f64 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 x) (.f64 (neg.f64 (cos.f64 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (cos.f64 y)) (cos.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (cos.f64 x) (cos.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (-.f64 (cos.f64 x) (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (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 (cbrt.f64 (-.f64 (cos.f64 x) (cos.f64 y))) (cbrt.f64 (pow.f64 (-.f64 (cos.f64 x) (cos.f64 y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (-.f64 (cos.f64 x) (cos.f64 y)) 2)) (cbrt.f64 (-.f64 (cos.f64 x) (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -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 (sin.f64 (/.f64 (-.f64 x y) 2)) (sin.f64 (/.f64 (+.f64 x y) 2))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 -2 (sin.f64 (/.f64 (-.f64 x y) 2))) (sin.f64 (/.f64 (+.f64 x y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (sqrt.f64 (cos.f64 x)) (sqrt.f64 (cos.f64 y))) (-.f64 (sqrt.f64 (cos.f64 x)) (sqrt.f64 (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (-.f64 (cos.f64 x) (cos.f64 y)) 1/2) (pow.f64 (-.f64 (cos.f64 x) (cos.f64 y)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 y) 2)) (+.f64 (cos.f64 x) (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (cos.f64 y) 3)) (+.f64 (pow.f64 (cos.f64 x) 2) (.f64 (cos.f64 y) (+.f64 (cos.f64 x) (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (cos.f64 x) (cos.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 (cos.f64 x) (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (pow.f64 (-.f64 (cos.f64 x) (cos.f64 y)) 2)))))) (#(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 exp.f64 (log.f64 (-.f64 (cos.f64 x) (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (cos.f64 x) (cos.f64 y))))))))
((#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (sqrt.f64 5) -1) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 (sqrt.f64 5) -1) 3/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 3/2 (+.f64 (sqrt.f64 5) -1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (.f64 (+.f64 (sqrt.f64 5) -1) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (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 (sqrt.f64 (+.f64 (sqrt.f64 5) -1)) (.f64 (sqrt.f64 (+.f64 (sqrt.f64 5) -1)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 (+.f64 (sqrt.f64 5) -1) 3/2)) (cbrt.f64 (.f64 (pow.f64 (+.f64 (sqrt.f64 5) -1) 2) 9/4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 (pow.f64 (+.f64 (sqrt.f64 5) -1) 2) 9/4)) (cbrt.f64 (.f64 (+.f64 (sqrt.f64 5) -1) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 5) -1) 2)) (.f64 (cbrt.f64 (+.f64 (sqrt.f64 5) -1)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (.f64 (+.f64 (sqrt.f64 5) -1) 3/2) 1/2) (pow.f64 (.f64 (+.f64 (sqrt.f64 5) -1) 3/2) 1/2))))) (#(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 neg.f64 (/.f64 (+.f64 (sqrt.f64 5) -1) -2/3))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (.f64 (+.f64 (sqrt.f64 5) -1) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (.f64 (+.f64 (sqrt.f64 5) -1) 3/2) (.f64 (pow.f64 (+.f64 (sqrt.f64 5) -1) 2) 9/4)))))) (#(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 exp.f64 (log.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 +.f64 3 (neg.f64 (sqrt.f64 5)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 3 (.f64 (neg.f64 (sqrt.f64 5)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (sqrt.f64 5)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 3 (sqrt.f64 5)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (-.f64 3 (sqrt.f64 5)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (-.f64 3 (sqrt.f64 5))) (sqrt.f64 (-.f64 3 (sqrt.f64 5))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (-.f64 3 (sqrt.f64 5))) (cbrt.f64 (pow.f64 (-.f64 3 (sqrt.f64 5)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (-.f64 3 (sqrt.f64 5)) 2)) (cbrt.f64 (-.f64 3 (sqrt.f64 5))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (-.f64 3 (sqrt.f64 5)) 1/2) (pow.f64 (-.f64 3 (sqrt.f64 5)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 4 (+.f64 (sqrt.f64 5) 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 27 (pow.f64 (sqrt.f64 5) 3)) (+.f64 14 (.f64 (sqrt.f64 5) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 3 (sqrt.f64 5)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 3 (sqrt.f64 5))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (-.f64 3 (sqrt.f64 5)) (pow.f64 (-.f64 3 (sqrt.f64 5)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.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 log1p.f64 (expm1.f64 (-.f64 3 (sqrt.f64 5))))))))
((#(struct:change #<rule egg-rr> (2) ((x .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 (sin.f64 y) -1/16)))) 2) (/.f64 1 (fma.f64 (cos.f64 x) (.f64 (+.f64 (sqrt.f64 5) -1) 3/2) (fma.f64 (cos.f64 y) (/.f64 6 (+.f64 (sqrt.f64 5) 3)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.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 (sin.f64 y) -1/16)))) 2) (fma.f64 (cos.f64 x) (.f64 (+.f64 (sqrt.f64 5) -1) 3/2) (fma.f64 (cos.f64 y) (/.f64 6 (+.f64 (sqrt.f64 5) 3)) 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.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 (sin.f64 y) -1/16)))) 2) (fma.f64 (cos.f64 x) (.f64 (+.f64 (sqrt.f64 5) -1) 3/2) (fma.f64 (cos.f64 y) (/.f64 6 (+.f64 (sqrt.f64 5) 3)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.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 (sin.f64 y) -1/16)))) 2)) (.f64 (sqrt.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 (sin.f64 y) -1/16)))) 2)) (/.f64 1 (fma.f64 (cos.f64 x) (.f64 (+.f64 (sqrt.f64 5) -1) 3/2) (fma.f64 (cos.f64 y) (/.f64 6 (+.f64 (sqrt.f64 5) 3)) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (/.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 (sin.f64 y) -1/16)))) 2) (fma.f64 (cos.f64 x) (.f64 (+.f64 (sqrt.f64 5) -1) 3/2) (fma.f64 (cos.f64 y) (/.f64 6 (+.f64 (sqrt.f64 5) 3)) 3)))) (sqrt.f64 (/.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 (sin.f64 y) -1/16)))) 2) (fma.f64 (cos.f64 x) (.f64 (+.f64 (sqrt.f64 5) -1) 3/2) (fma.f64 (cos.f64 y) (/.f64 6 (+.f64 (sqrt.f64 5) 3)) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.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 (sin.f64 y) -1/16)))) 2) 2)) (.f64 (cbrt.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 (sin.f64 y) -1/16)))) 2)) (/.f64 1 (fma.f64 (cos.f64 x) (.f64 (+.f64 (sqrt.f64 5) -1) 3/2) (fma.f64 (cos.f64 y) (/.f64 6 (+.f64 (sqrt.f64 5) 3)) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.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 (sin.f64 y) -1/16)))) 2) (fma.f64 (cos.f64 x) (.f64 (+.f64 (sqrt.f64 5) -1) 3/2) (fma.f64 (cos.f64 y) (/.f64 6 (+.f64 (sqrt.f64 5) 3)) 3)))) (cbrt.f64 (pow.f64 (/.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 (sin.f64 y) -1/16)))) 2) (fma.f64 (cos.f64 x) (.f64 (+.f64 (sqrt.f64 5) -1) 3/2) (fma.f64 (cos.f64 y) (/.f64 6 (+.f64 (sqrt.f64 5) 3)) 3))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (/.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 (sin.f64 y) -1/16)))) 2) (fma.f64 (cos.f64 x) (.f64 (+.f64 (sqrt.f64 5) -1) 3/2) (fma.f64 (cos.f64 y) (/.f64 6 (+.f64 (sqrt.f64 5) 3)) 3))) 2)) (cbrt.f64 (/.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 (sin.f64 y) -1/16)))) 2) (fma.f64 (cos.f64 x) (.f64 (+.f64 (sqrt.f64 5) -1) 3/2) (fma.f64 (cos.f64 y) (/.f64 6 (+.f64 (sqrt.f64 5) 3)) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (fma.f64 (cos.f64 x) (.f64 (+.f64 (sqrt.f64 5) -1) 3/2) (fma.f64 (cos.f64 y) (/.f64 6 (+.f64 (sqrt.f64 5) 3)) 3))) (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 (sin.f64 y) -1/16)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (/.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 (sin.f64 y) -1/16)))) 2) (fma.f64 (cos.f64 x) (.f64 (+.f64 (sqrt.f64 5) -1) 3/2) (fma.f64 (cos.f64 y) (/.f64 6 (+.f64 (sqrt.f64 5) 3)) 3))) 1/2) (pow.f64 (/.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 (sin.f64 y) -1/16)))) 2) (fma.f64 (cos.f64 x) (.f64 (+.f64 (sqrt.f64 5) -1) 3/2) (fma.f64 (cos.f64 y) (/.f64 6 (+.f64 (sqrt.f64 5) 3)) 3))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.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 (sin.f64 y) -1/16)))) 2) (fma.f64 (cos.f64 x) (.f64 (+.f64 (sqrt.f64 5) -1) 3/2) (fma.f64 (cos.f64 y) (/.f64 6 (+.f64 (sqrt.f64 5) 3)) 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.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 (sin.f64 y) -1/16)))) 2) (neg.f64 (fma.f64 (cos.f64 x) (.f64 (+.f64 (sqrt.f64 5) -1) 3/2) (fma.f64 (cos.f64 y) (/.f64 6 (+.f64 (sqrt.f64 5) 3)) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.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 (sin.f64 y) -1/16)))) 2) (fma.f64 (cos.f64 x) (.f64 (+.f64 (sqrt.f64 5) -1) 3/2) (fma.f64 (cos.f64 y) (/.f64 6 (+.f64 (sqrt.f64 5) 3)) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (/.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 (sin.f64 y) -1/16)))) 2) (fma.f64 (cos.f64 x) (.f64 (+.f64 (sqrt.f64 5) -1) 3/2) (fma.f64 (cos.f64 y) (/.f64 6 (+.f64 (sqrt.f64 5) 3)) 3))) (pow.f64 (/.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 (sin.f64 y) -1/16)))) 2) (fma.f64 (cos.f64 x) (.f64 (+.f64 (sqrt.f64 5) -1) 3/2) (fma.f64 (cos.f64 y) (/.f64 6 (+.f64 (sqrt.f64 5) 3)) 3))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.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 (sin.f64 y) -1/16)))) 2) (fma.f64 (cos.f64 x) (.f64 (+.f64 (sqrt.f64 5) -1) 3/2) (fma.f64 (cos.f64 y) (/.f64 6 (+.f64 (sqrt.f64 5) 3)) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.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 (sin.f64 y) -1/16)))) 2) (fma.f64 (cos.f64 x) (.f64 (+.f64 (sqrt.f64 5) -1) 3/2) (fma.f64 (cos.f64 y) (/.f64 6 (+.f64 (sqrt.f64 5) 3)) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.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 (sin.f64 y) -1/16)))) 2) (fma.f64 (cos.f64 x) (*.f64 (+.f64 (sqrt.f64 5) -1) 3/2) (fma.f64 (cos.f64 y) (/.f64 6 (+.f64 (sqrt.f64 5) 3)) 3)))))))))

simplify113.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

826×	`associate-/l*`
816×	`associate-+l+`
782×	`times-frac`
774×	`+-commutative`
728×	`associate-+r+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	362	9864
1	955	9242
2	3492	9238

Stop Event

1×	node limit

Counts

104 → 163

Calls

Call 1

Inputs
(-.f64 1 (cos.f64 y))
(-.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 x 2))) (cos.f64 y))
(-.f64 (+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 1/24 (pow.f64 x 4)))) (cos.f64 y))
(-.f64 (+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 1/24 (pow.f64 x 4)) (*.f64 -1/720 (pow.f64 x 6))))) (cos.f64 y))
(-.f64 (cos.f64 x) 1)
(-.f64 (+.f64 (cos.f64 x) (*.f64 1/2 (pow.f64 y 2))) 1)
(-.f64 (+.f64 (cos.f64 x) (+.f64 (.f64 1/2 (pow.f64 y 2)) (.f64 -1/24 (pow.f64 y 4)))) 1)
(-.f64 (+.f64 (cos.f64 x) (+.f64 (.f64 1/2 (pow.f64 y 2)) (+.f64 (.f64 1/720 (pow.f64 y 6)) (*.f64 -1/24 (pow.f64 y 4))))) 1)
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(+.f64 3 (*.f64 (neg.f64 (sqrt.f64 5)) 1))
(+.f64 (neg.f64 (sqrt.f64 5)) 3)
(*.f64 (-.f64 3 (sqrt.f64 5)) 1)
(*.f64 1 (-.f64 3 (sqrt.f64 5)))
(*.f64 (sqrt.f64 (-.f64 3 (sqrt.f64 5))) (sqrt.f64 (-.f64 3 (sqrt.f64 5))))
(*.f64 (cbrt.f64 (-.f64 3 (sqrt.f64 5))) (cbrt.f64 (pow.f64 (-.f64 3 (sqrt.f64 5)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 3 (sqrt.f64 5)) 2)) (cbrt.f64 (-.f64 3 (sqrt.f64 5))))
(*.f64 (pow.f64 (-.f64 3 (sqrt.f64 5)) 1/2) (pow.f64 (-.f64 3 (sqrt.f64 5)) 1/2))
(/.f64 4 (+.f64 (sqrt.f64 5) 3))
(/.f64 (-.f64 27 (pow.f64 (sqrt.f64 5) 3)) (+.f64 14 (*.f64 (sqrt.f64 5) 3)))
(pow.f64 (-.f64 3 (sqrt.f64 5)) 1)
(log.f64 (exp.f64 (-.f64 3 (sqrt.f64 5))))
(cbrt.f64 (*.f64 (-.f64 3 (sqrt.f64 5)) (pow.f64 (-.f64 3 (sqrt.f64 5)) 2)))
(expm1.f64 (log1p.f64 (-.f64 3 (sqrt.f64 5))))
(exp.f64 (log.f64 (-.f64 3 (sqrt.f64 5))))
(log1p.f64 (expm1.f64 (-.f64 3 (sqrt.f64 5))))
(.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 (sin.f64 y) -1/16)))) 2) (/.f64 1 (fma.f64 (cos.f64 x) (.f64 (+.f64 (sqrt.f64 5) -1) 3/2) (fma.f64 (cos.f64 y) (/.f64 6 (+.f64 (sqrt.f64 5) 3)) 3))))
(.f64 (/.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 (sin.f64 y) -1/16)))) 2) (fma.f64 (cos.f64 x) (.f64 (+.f64 (sqrt.f64 5) -1) 3/2) (fma.f64 (cos.f64 y) (/.f64 6 (+.f64 (sqrt.f64 5) 3)) 3))) 1)
(.f64 1 (/.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 (sin.f64 y) -1/16)))) 2) (fma.f64 (cos.f64 x) (.f64 (+.f64 (sqrt.f64 5) -1) 3/2) (fma.f64 (cos.f64 y) (/.f64 6 (+.f64 (sqrt.f64 5) 3)) 3))))
(.f64 (sqrt.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 (sin.f64 y) -1/16)))) 2)) (.f64 (sqrt.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 (sin.f64 y) -1/16)))) 2)) (/.f64 1 (fma.f64 (cos.f64 x) (*.f64 (+.f64 (sqrt.f64 5) -1) 3/2) (fma.f64 (cos.f64 y) (/.f64 6 (+.f64 (sqrt.f64 5) 3)) 3)))))
(.f64 (sqrt.f64 (/.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 (sin.f64 y) -1/16)))) 2) (fma.f64 (cos.f64 x) (.f64 (+.f64 (sqrt.f64 5) -1) 3/2) (fma.f64 (cos.f64 y) (/.f64 6 (+.f64 (sqrt.f64 5) 3)) 3)))) (sqrt.f64 (/.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 (sin.f64 y) -1/16)))) 2) (fma.f64 (cos.f64 x) (*.f64 (+.f64 (sqrt.f64 5) -1) 3/2) (fma.f64 (cos.f64 y) (/.f64 6 (+.f64 (sqrt.f64 5) 3)) 3)))))
(.f64 (cbrt.f64 (pow.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 (sin.f64 y) -1/16)))) 2) 2)) (.f64 (cbrt.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 (sin.f64 y) -1/16)))) 2)) (/.f64 1 (fma.f64 (cos.f64 x) (*.f64 (+.f64 (sqrt.f64 5) -1) 3/2) (fma.f64 (cos.f64 y) (/.f64 6 (+.f64 (sqrt.f64 5) 3)) 3)))))
(.f64 (cbrt.f64 (/.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 (sin.f64 y) -1/16)))) 2) (fma.f64 (cos.f64 x) (.f64 (+.f64 (sqrt.f64 5) -1) 3/2) (fma.f64 (cos.f64 y) (/.f64 6 (+.f64 (sqrt.f64 5) 3)) 3)))) (cbrt.f64 (pow.f64 (/.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 (sin.f64 y) -1/16)))) 2) (fma.f64 (cos.f64 x) (*.f64 (+.f64 (sqrt.f64 5) -1) 3/2) (fma.f64 (cos.f64 y) (/.f64 6 (+.f64 (sqrt.f64 5) 3)) 3))) 2)))
(.f64 (cbrt.f64 (pow.f64 (/.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 (sin.f64 y) -1/16)))) 2) (fma.f64 (cos.f64 x) (.f64 (+.f64 (sqrt.f64 5) -1) 3/2) (fma.f64 (cos.f64 y) (/.f64 6 (+.f64 (sqrt.f64 5) 3)) 3))) 2)) (cbrt.f64 (/.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 (sin.f64 y) -1/16)))) 2) (fma.f64 (cos.f64 x) (*.f64 (+.f64 (sqrt.f64 5) -1) 3/2) (fma.f64 (cos.f64 y) (/.f64 6 (+.f64 (sqrt.f64 5) 3)) 3)))))
(.f64 (/.f64 1 (fma.f64 (cos.f64 x) (.f64 (+.f64 (sqrt.f64 5) -1) 3/2) (fma.f64 (cos.f64 y) (/.f64 6 (+.f64 (sqrt.f64 5) 3)) 3))) (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 (sin.f64 y) -1/16)))) 2))
(.f64 (pow.f64 (/.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 (sin.f64 y) -1/16)))) 2) (fma.f64 (cos.f64 x) (.f64 (+.f64 (sqrt.f64 5) -1) 3/2) (fma.f64 (cos.f64 y) (/.f64 6 (+.f64 (sqrt.f64 5) 3)) 3))) 1/2) (pow.f64 (/.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 (sin.f64 y) -1/16)))) 2) (fma.f64 (cos.f64 x) (*.f64 (+.f64 (sqrt.f64 5) -1) 3/2) (fma.f64 (cos.f64 y) (/.f64 6 (+.f64 (sqrt.f64 5) 3)) 3))) 1/2))
(pow.f64 (/.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 (sin.f64 y) -1/16)))) 2) (fma.f64 (cos.f64 x) (*.f64 (+.f64 (sqrt.f64 5) -1) 3/2) (fma.f64 (cos.f64 y) (/.f64 6 (+.f64 (sqrt.f64 5) 3)) 3))) 1)
(neg.f64 (/.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 (sin.f64 y) -1/16)))) 2) (neg.f64 (fma.f64 (cos.f64 x) (*.f64 (+.f64 (sqrt.f64 5) -1) 3/2) (fma.f64 (cos.f64 y) (/.f64 6 (+.f64 (sqrt.f64 5) 3)) 3)))))
(log.f64 (exp.f64 (/.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 (sin.f64 y) -1/16)))) 2) (fma.f64 (cos.f64 x) (*.f64 (+.f64 (sqrt.f64 5) -1) 3/2) (fma.f64 (cos.f64 y) (/.f64 6 (+.f64 (sqrt.f64 5) 3)) 3)))))
(cbrt.f64 (.f64 (/.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 (sin.f64 y) -1/16)))) 2) (fma.f64 (cos.f64 x) (.f64 (+.f64 (sqrt.f64 5) -1) 3/2) (fma.f64 (cos.f64 y) (/.f64 6 (+.f64 (sqrt.f64 5) 3)) 3))) (pow.f64 (/.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 (sin.f64 y) -1/16)))) 2) (fma.f64 (cos.f64 x) (*.f64 (+.f64 (sqrt.f64 5) -1) 3/2) (fma.f64 (cos.f64 y) (/.f64 6 (+.f64 (sqrt.f64 5) 3)) 3))) 2)))
(expm1.f64 (log1p.f64 (/.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 (sin.f64 y) -1/16)))) 2) (fma.f64 (cos.f64 x) (*.f64 (+.f64 (sqrt.f64 5) -1) 3/2) (fma.f64 (cos.f64 y) (/.f64 6 (+.f64 (sqrt.f64 5) 3)) 3)))))
(exp.f64 (log.f64 (/.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 (sin.f64 y) -1/16)))) 2) (fma.f64 (cos.f64 x) (*.f64 (+.f64 (sqrt.f64 5) -1) 3/2) (fma.f64 (cos.f64 y) (/.f64 6 (+.f64 (sqrt.f64 5) 3)) 3)))))
(log1p.f64 (expm1.f64 (/.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 (sin.f64 y) -1/16)))) 2) (fma.f64 (cos.f64 x) (*.f64 (+.f64 (sqrt.f64 5) -1) 3/2) (fma.f64 (cos.f64 y) (/.f64 6 (+.f64 (sqrt.f64 5) 3)) 3)))))

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 1 (-.f64 (fma.f64 1/24 (pow.f64 x 4) (.f64 x (.f64 x -1/2))) (cos.f64 y)))
(-.f64 (+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 1/24 (pow.f64 x 4)) (*.f64 -1/720 (pow.f64 x 6))))) (cos.f64 y))
(+.f64 1 (-.f64 (fma.f64 -1/2 (.f64 x x) (fma.f64 1/24 (pow.f64 x 4) (.f64 -1/720 (pow.f64 x 6)))) (cos.f64 y)))
(-.f64 (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 (+.f64 (cos.f64 x) (+.f64 (.f64 1/2 (pow.f64 y 2)) (.f64 -1/24 (pow.f64 y 4)))) 1)
(+.f64 (cos.f64 x) (-.f64 (fma.f64 1/2 (.f64 y y) (.f64 -1/24 (pow.f64 y 4))) 1))
(+.f64 (cos.f64 x) (+.f64 (.f64 -1/24 (pow.f64 y 4)) (fma.f64 1/2 (.f64 y y) -1)))
(-.f64 (+.f64 (cos.f64 x) (+.f64 (.f64 1/2 (pow.f64 y 2)) (+.f64 (.f64 1/720 (pow.f64 y 6)) (*.f64 -1/24 (pow.f64 y 4))))) 1)
(+.f64 (cos.f64 x) (-.f64 (fma.f64 1/2 (.f64 y y) (fma.f64 1/720 (pow.f64 y 6) (.f64 -1/24 (pow.f64 y 4)))) 1))
(+.f64 (cos.f64 x) (+.f64 (fma.f64 -1/24 (pow.f64 y 4) (.f64 1/720 (pow.f64 y 6))) (fma.f64 1/2 (.f64 y y) -1)))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))) (+.f64 3 (+.f64 (.f64 3/2 (-.f64 3 (sqrt.f64 5))) (.f64 3/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))))))
(/.f64 (+.f64 2 (.f64 (.f64 -1/16 (sqrt.f64 2)) (.f64 (+.f64 (cos.f64 x) -1) (pow.f64 (sin.f64 x) 2)))) (+.f64 3 (.f64 3/2 (+.f64 (-.f64 3 (sqrt.f64 5)) (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1))))))
(/.f64 (fma.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (+.f64 (cos.f64 x) -1) (pow.f64 (sin.f64 x) 2))) 2) (fma.f64 3/2 (+.f64 (-.f64 3 (sqrt.f64 5)) (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1))) 3))
(/.f64 (fma.f64 -1/16 (.f64 (pow.f64 (sin.f64 x) 2) (.f64 (+.f64 (cos.f64 x) -1) (sqrt.f64 2))) 2) (fma.f64 3/2 (-.f64 3 (+.f64 (sqrt.f64 5) (*.f64 (-.f64 1 (sqrt.f64 5)) (cos.f64 x)))) 3))
(+.f64 (.f64 2 (/.f64 1 (+.f64 3 (+.f64 (.f64 3/2 (-.f64 3 (sqrt.f64 5))) (.f64 3/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))))))) (+.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 y (.f64 (-.f64 (cos.f64 x) 1) (+.f64 (.f64 1/256 (sin.f64 x)) (sin.f64 x))))) (+.f64 3 (+.f64 (.f64 3/2 (-.f64 3 (sqrt.f64 5))) (.f64 3/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))))) (.f64 -1/16 (/.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))) (+.f64 3 (+.f64 (.f64 3/2 (-.f64 3 (sqrt.f64 5))) (.f64 3/2 (*.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))))))))
(+.f64 (+.f64 (/.f64 2 (+.f64 3 (.f64 3/2 (+.f64 (-.f64 3 (sqrt.f64 5)) (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)))))) (/.f64 (.f64 (.f64 (sqrt.f64 2) y) (.f64 (+.f64 (cos.f64 x) -1) (.f64 257/256 (sin.f64 x)))) (+.f64 3 (.f64 3/2 (+.f64 (-.f64 3 (sqrt.f64 5)) (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1))))))) (.f64 -1/16 (/.f64 (.f64 (sqrt.f64 2) (.f64 (+.f64 (cos.f64 x) -1) (pow.f64 (sin.f64 x) 2))) (+.f64 3 (.f64 3/2 (+.f64 (-.f64 3 (sqrt.f64 5)) (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1))))))))
(+.f64 (/.f64 2 (fma.f64 3/2 (+.f64 (-.f64 3 (sqrt.f64 5)) (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1))) 3)) (fma.f64 -1/16 (/.f64 (.f64 (sqrt.f64 2) (.f64 (+.f64 (cos.f64 x) -1) (pow.f64 (sin.f64 x) 2))) (fma.f64 3/2 (+.f64 (-.f64 3 (sqrt.f64 5)) (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1))) 3)) (/.f64 (.f64 y (.f64 (.f64 (+.f64 (cos.f64 x) -1) (.f64 (sin.f64 x) 257/256)) (sqrt.f64 2))) (fma.f64 3/2 (+.f64 (-.f64 3 (sqrt.f64 5)) (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1))) 3))))
(+.f64 (/.f64 2 (fma.f64 3/2 (-.f64 3 (+.f64 (sqrt.f64 5) (.f64 (-.f64 1 (sqrt.f64 5)) (cos.f64 x)))) 3)) (fma.f64 -1/16 (/.f64 (.f64 (pow.f64 (sin.f64 x) 2) (.f64 (+.f64 (cos.f64 x) -1) (sqrt.f64 2))) (fma.f64 3/2 (-.f64 3 (+.f64 (sqrt.f64 5) (.f64 (-.f64 1 (sqrt.f64 5)) (cos.f64 x)))) 3)) (.f64 (/.f64 (sqrt.f64 2) (/.f64 (fma.f64 3/2 (-.f64 3 (+.f64 (sqrt.f64 5) (.f64 (-.f64 1 (sqrt.f64 5)) (cos.f64 x)))) 3) y)) (.f64 (+.f64 (cos.f64 x) -1) (.f64 (sin.f64 x) 257/256)))))
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(/.f64 (fma.f64 (sqrt.f64 2) (.f64 (fma.f64 -1/16 (sin.f64 x) (sin.f64 y)) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)))) 2) (fma.f64 (cos.f64 x) (+.f64 (*.f64 3/2 (sqrt.f64 5)) -3/2) (fma.f64 (cos.f64 y) (/.f64 6 (+.f64 3 (sqrt.f64 5))) 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 (cos.f64 y) (/.f64 6 (+.f64 3 (sqrt.f64 5))) 3)))
(/.f64 (fma.f64 (sqrt.f64 2) (.f64 (fma.f64 -1/16 (sin.f64 x) (sin.f64 y)) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)))) 2) (fma.f64 (cos.f64 x) (fma.f64 3/2 (sqrt.f64 5) -3/2) (fma.f64 (cos.f64 y) (/.f64 6 (+.f64 3 (sqrt.f64 5))) 3)))
(cbrt.f64 (.f64 (/.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 (sin.f64 y) -1/16)))) 2) (fma.f64 (cos.f64 x) (.f64 (+.f64 (sqrt.f64 5) -1) 3/2) (fma.f64 (cos.f64 y) (/.f64 6 (+.f64 (sqrt.f64 5) 3)) 3))) (pow.f64 (/.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 (sin.f64 y) -1/16)))) 2) (fma.f64 (cos.f64 x) (*.f64 (+.f64 (sqrt.f64 5) -1) 3/2) (fma.f64 (cos.f64 y) (/.f64 6 (+.f64 (sqrt.f64 5) 3)) 3))) 2)))
(cbrt.f64 (.f64 (/.f64 (fma.f64 (sqrt.f64 2) (.f64 (fma.f64 -1/16 (sin.f64 x) (sin.f64 y)) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)))) 2) (fma.f64 (cos.f64 x) (+.f64 (.f64 3/2 (sqrt.f64 5)) -3/2) (fma.f64 (cos.f64 y) (/.f64 6 (+.f64 3 (sqrt.f64 5))) 3))) (pow.f64 (/.f64 (fma.f64 (sqrt.f64 2) (.f64 (fma.f64 -1/16 (sin.f64 x) (sin.f64 y)) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)))) 2) (fma.f64 (cos.f64 x) (+.f64 (*.f64 3/2 (sqrt.f64 5)) -3/2) (fma.f64 (cos.f64 y) (/.f64 6 (+.f64 3 (sqrt.f64 5))) 3))) 2)))
(cbrt.f64 (pow.f64 (/.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 (cos.f64 y) (/.f64 6 (+.f64 3 (sqrt.f64 5))) 3))) 3))
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 (sqrt.f64 2) (.f64 (fma.f64 -1/16 (sin.f64 x) (sin.f64 y)) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)))) 2) (fma.f64 (cos.f64 x) (fma.f64 3/2 (sqrt.f64 5) -3/2) (fma.f64 (cos.f64 y) (/.f64 6 (+.f64 3 (sqrt.f64 5))) 3))) 3))
(expm1.f64 (log1p.f64 (/.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 (sin.f64 y) -1/16)))) 2) (fma.f64 (cos.f64 x) (*.f64 (+.f64 (sqrt.f64 5) -1) 3/2) (fma.f64 (cos.f64 y) (/.f64 6 (+.f64 (sqrt.f64 5) 3)) 3)))))
(/.f64 (fma.f64 (sqrt.f64 2) (.f64 (fma.f64 -1/16 (sin.f64 x) (sin.f64 y)) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)))) 2) (fma.f64 (cos.f64 x) (+.f64 (*.f64 3/2 (sqrt.f64 5)) -3/2) (fma.f64 (cos.f64 y) (/.f64 6 (+.f64 3 (sqrt.f64 5))) 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 (cos.f64 y) (/.f64 6 (+.f64 3 (sqrt.f64 5))) 3)))
(/.f64 (fma.f64 (sqrt.f64 2) (.f64 (fma.f64 -1/16 (sin.f64 x) (sin.f64 y)) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)))) 2) (fma.f64 (cos.f64 x) (fma.f64 3/2 (sqrt.f64 5) -3/2) (fma.f64 (cos.f64 y) (/.f64 6 (+.f64 3 (sqrt.f64 5))) 3)))
(exp.f64 (log.f64 (/.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 (sin.f64 y) -1/16)))) 2) (fma.f64 (cos.f64 x) (*.f64 (+.f64 (sqrt.f64 5) -1) 3/2) (fma.f64 (cos.f64 y) (/.f64 6 (+.f64 (sqrt.f64 5) 3)) 3)))))
(/.f64 (fma.f64 (sqrt.f64 2) (.f64 (fma.f64 -1/16 (sin.f64 x) (sin.f64 y)) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)))) 2) (fma.f64 (cos.f64 x) (+.f64 (*.f64 3/2 (sqrt.f64 5)) -3/2) (fma.f64 (cos.f64 y) (/.f64 6 (+.f64 3 (sqrt.f64 5))) 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 (cos.f64 y) (/.f64 6 (+.f64 3 (sqrt.f64 5))) 3)))
(/.f64 (fma.f64 (sqrt.f64 2) (.f64 (fma.f64 -1/16 (sin.f64 x) (sin.f64 y)) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)))) 2) (fma.f64 (cos.f64 x) (fma.f64 3/2 (sqrt.f64 5) -3/2) (fma.f64 (cos.f64 y) (/.f64 6 (+.f64 3 (sqrt.f64 5))) 3)))
(log1p.f64 (expm1.f64 (/.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 (sin.f64 y) -1/16)))) 2) (fma.f64 (cos.f64 x) (*.f64 (+.f64 (sqrt.f64 5) -1) 3/2) (fma.f64 (cos.f64 y) (/.f64 6 (+.f64 (sqrt.f64 5) 3)) 3)))))
(/.f64 (fma.f64 (sqrt.f64 2) (.f64 (fma.f64 -1/16 (sin.f64 x) (sin.f64 y)) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)))) 2) (fma.f64 (cos.f64 x) (+.f64 (*.f64 3/2 (sqrt.f64 5)) -3/2) (fma.f64 (cos.f64 y) (/.f64 6 (+.f64 3 (sqrt.f64 5))) 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 (cos.f64 y) (/.f64 6 (+.f64 3 (sqrt.f64 5))) 3)))
(/.f64 (fma.f64 (sqrt.f64 2) (.f64 (fma.f64 -1/16 (sin.f64 x) (sin.f64 y)) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)))) 2) (fma.f64 (cos.f64 x) (fma.f64 3/2 (sqrt.f64 5) -3/2) (fma.f64 (cos.f64 y) (/.f64 6 (+.f64 3 (sqrt.f64 5))) 3)))

localize94.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(+.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))))
✓	0.5b	(*.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)))
✓	1.0b	(-.f64 3/2 (/.f64 (sqrt.f64 5) 2))
	1.4b	(-.f64 (cos.f64 x) (cos.f64 y))

Compiler

Compiled 270 to 176 computations (34.8% saved)

series9.0ms (0%)

Counts

3 → 48

Calls

12 calls:

Time	Variable		Point	Expression
3.0ms	x	@	-inf	(*.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)))
1.0ms	y	@	0	(*.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)))
1.0ms	x	@	0	(*.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)))
1.0ms	x	@	inf	(+.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))))
1.0ms	y	@	inf	(+.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))))

rewrite99.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

556×	`add-sqr-sqrt`
532×	`pow1`
532×	`*-un-lft-identity`
524×	`add-exp-log`
524×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	25	103
1	554	85
2	7107	85

Stop Event

1×	node limit

Counts

3 → 93

Calls

Call 1

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

Inputs

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

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

(+.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))))

Outputs
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Outputs

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

simplify91.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1458×	`distribute-lft-in`
1430×	`distribute-rgt-in`
1042×	`associate-+l+`
810×	`associate-+r+`
760×	`+-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	332	6745
1	856	6443
2	3236	6443

Stop Event

1×	node limit

Counts

141 → 182

Calls

Call 1

Inputs
(.f64 -1/16 (.f64 (sqrt.f64 2) (sin.f64 y)))
(+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) (sin.f64 y))) (*.f64 (sqrt.f64 2) x))
(+.f64 (.f64 -1/6 (.f64 (sqrt.f64 2) (pow.f64 x 3))) (+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) (sin.f64 y))) (*.f64 (sqrt.f64 2) x)))
(+.f64 (.f64 -1/6 (.f64 (sqrt.f64 2) (pow.f64 x 3))) (+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) (sin.f64 y))) (+.f64 (.f64 (sqrt.f64 2) x) (.f64 1/120 (*.f64 (sqrt.f64 2) (pow.f64 x 5))))))
(.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))))
(.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))))
(.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))))
(.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))))
(.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))))
(.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))))
(.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))))
(.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))))
(*.f64 (sqrt.f64 2) (sin.f64 x))
(+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) y)) (*.f64 (sqrt.f64 2) (sin.f64 x)))
(+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) y)) (+.f64 (.f64 1/96 (.f64 (sqrt.f64 2) (pow.f64 y 3))) (*.f64 (sqrt.f64 2) (sin.f64 x))))
(+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) y)) (+.f64 (.f64 1/96 (.f64 (sqrt.f64 2) (pow.f64 y 3))) (+.f64 (.f64 (sqrt.f64 2) (sin.f64 x)) (.f64 -1/1920 (*.f64 (sqrt.f64 2) (pow.f64 y 5))))))
(.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))))
(.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))))
(.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))))
(.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))))
(.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))))
(.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))))
(.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))))
(.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))))
(-.f64 (+.f64 (.f64 1/2 (sqrt.f64 5)) (.f64 (-.f64 3/2 (*.f64 1/2 (sqrt.f64 5))) (cos.f64 y))) 1/2)
(-.f64 (+.f64 (.f64 -1/2 (.f64 (pow.f64 x 2) (-.f64 (.f64 1/2 (sqrt.f64 5)) 1/2))) (+.f64 (.f64 1/2 (sqrt.f64 5)) (.f64 (-.f64 3/2 (.f64 1/2 (sqrt.f64 5))) (cos.f64 y)))) 1/2)
(-.f64 (+.f64 (.f64 -1/2 (.f64 (pow.f64 x 2) (-.f64 (.f64 1/2 (sqrt.f64 5)) 1/2))) (+.f64 (.f64 1/2 (sqrt.f64 5)) (+.f64 (.f64 1/24 (.f64 (pow.f64 x 4) (-.f64 (.f64 1/2 (sqrt.f64 5)) 1/2))) (.f64 (-.f64 3/2 (*.f64 1/2 (sqrt.f64 5))) (cos.f64 y))))) 1/2)
(-.f64 (+.f64 (.f64 -1/2 (.f64 (pow.f64 x 2) (-.f64 (.f64 1/2 (sqrt.f64 5)) 1/2))) (+.f64 (.f64 1/2 (sqrt.f64 5)) (+.f64 (.f64 1/24 (.f64 (pow.f64 x 4) (-.f64 (.f64 1/2 (sqrt.f64 5)) 1/2))) (+.f64 (.f64 (-.f64 3/2 (.f64 1/2 (sqrt.f64 5))) (cos.f64 y)) (.f64 -1/720 (.f64 (pow.f64 x 6) (-.f64 (.f64 1/2 (sqrt.f64 5)) 1/2))))))) 1/2)
(+.f64 (.f64 (-.f64 3/2 (.f64 1/2 (sqrt.f64 5))) (cos.f64 y)) (.f64 (cos.f64 x) (-.f64 (.f64 1/2 (sqrt.f64 5)) 1/2)))
(+.f64 (.f64 (-.f64 3/2 (.f64 1/2 (sqrt.f64 5))) (cos.f64 y)) (.f64 (cos.f64 x) (-.f64 (.f64 1/2 (sqrt.f64 5)) 1/2)))
(+.f64 (.f64 (-.f64 3/2 (.f64 1/2 (sqrt.f64 5))) (cos.f64 y)) (.f64 (cos.f64 x) (-.f64 (.f64 1/2 (sqrt.f64 5)) 1/2)))
(+.f64 (.f64 (-.f64 3/2 (.f64 1/2 (sqrt.f64 5))) (cos.f64 y)) (.f64 (cos.f64 x) (-.f64 (.f64 1/2 (sqrt.f64 5)) 1/2)))
(+.f64 (.f64 (-.f64 3/2 (.f64 1/2 (sqrt.f64 5))) (cos.f64 y)) (.f64 (cos.f64 x) (-.f64 (.f64 1/2 (sqrt.f64 5)) 1/2)))
(+.f64 (.f64 (-.f64 3/2 (.f64 1/2 (sqrt.f64 5))) (cos.f64 y)) (.f64 (cos.f64 x) (-.f64 (.f64 1/2 (sqrt.f64 5)) 1/2)))
(+.f64 (.f64 (-.f64 3/2 (.f64 1/2 (sqrt.f64 5))) (cos.f64 y)) (.f64 (cos.f64 x) (-.f64 (.f64 1/2 (sqrt.f64 5)) 1/2)))
(+.f64 (.f64 (-.f64 3/2 (.f64 1/2 (sqrt.f64 5))) (cos.f64 y)) (.f64 (cos.f64 x) (-.f64 (.f64 1/2 (sqrt.f64 5)) 1/2)))
(-.f64 (+.f64 3/2 (.f64 (cos.f64 x) (-.f64 (.f64 1/2 (sqrt.f64 5)) 1/2))) (*.f64 1/2 (sqrt.f64 5)))
(-.f64 (+.f64 3/2 (+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) (-.f64 3/2 (.f64 1/2 (sqrt.f64 5))))) (.f64 (cos.f64 x) (-.f64 (.f64 1/2 (sqrt.f64 5)) 1/2)))) (.f64 1/2 (sqrt.f64 5)))
(-.f64 (+.f64 (.f64 1/24 (.f64 (pow.f64 y 4) (-.f64 3/2 (.f64 1/2 (sqrt.f64 5))))) (+.f64 3/2 (+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) (-.f64 3/2 (.f64 1/2 (sqrt.f64 5))))) (.f64 (cos.f64 x) (-.f64 (.f64 1/2 (sqrt.f64 5)) 1/2))))) (*.f64 1/2 (sqrt.f64 5)))
(-.f64 (+.f64 (.f64 1/24 (.f64 (pow.f64 y 4) (-.f64 3/2 (.f64 1/2 (sqrt.f64 5))))) (+.f64 3/2 (+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) (-.f64 3/2 (.f64 1/2 (sqrt.f64 5))))) (+.f64 (.f64 -1/720 (.f64 (pow.f64 y 6) (-.f64 3/2 (.f64 1/2 (sqrt.f64 5))))) (.f64 (cos.f64 x) (-.f64 (.f64 1/2 (sqrt.f64 5)) 1/2)))))) (.f64 1/2 (sqrt.f64 5)))
(+.f64 (.f64 (-.f64 3/2 (.f64 1/2 (sqrt.f64 5))) (cos.f64 y)) (.f64 (cos.f64 x) (-.f64 (.f64 1/2 (sqrt.f64 5)) 1/2)))
(+.f64 (.f64 (-.f64 3/2 (.f64 1/2 (sqrt.f64 5))) (cos.f64 y)) (.f64 (cos.f64 x) (-.f64 (.f64 1/2 (sqrt.f64 5)) 1/2)))
(+.f64 (.f64 (-.f64 3/2 (.f64 1/2 (sqrt.f64 5))) (cos.f64 y)) (.f64 (cos.f64 x) (-.f64 (.f64 1/2 (sqrt.f64 5)) 1/2)))
(+.f64 (.f64 (-.f64 3/2 (.f64 1/2 (sqrt.f64 5))) (cos.f64 y)) (.f64 (cos.f64 x) (-.f64 (.f64 1/2 (sqrt.f64 5)) 1/2)))
(+.f64 (.f64 (-.f64 3/2 (.f64 1/2 (sqrt.f64 5))) (cos.f64 y)) (.f64 (cos.f64 x) (-.f64 (.f64 1/2 (sqrt.f64 5)) 1/2)))
(+.f64 (.f64 (-.f64 3/2 (.f64 1/2 (sqrt.f64 5))) (cos.f64 y)) (.f64 (cos.f64 x) (-.f64 (.f64 1/2 (sqrt.f64 5)) 1/2)))
(+.f64 (.f64 (-.f64 3/2 (.f64 1/2 (sqrt.f64 5))) (cos.f64 y)) (.f64 (cos.f64 x) (-.f64 (.f64 1/2 (sqrt.f64 5)) 1/2)))
(+.f64 (.f64 (-.f64 3/2 (.f64 1/2 (sqrt.f64 5))) (cos.f64 y)) (.f64 (cos.f64 x) (-.f64 (.f64 1/2 (sqrt.f64 5)) 1/2)))
(+.f64 3/2 (neg.f64 (sqrt.f64 5/4)))
(+.f64 3/2 (*.f64 (neg.f64 (sqrt.f64 5/4)) 1))
(+.f64 (neg.f64 (sqrt.f64 5/4)) 3/2)
(+.f64 (*.f64 (neg.f64 (sqrt.f64 5/4)) 1) 3/2)
(*.f64 (-.f64 3/2 (sqrt.f64 5/4)) 1)
(*.f64 1 (-.f64 3/2 (sqrt.f64 5/4)))
(*.f64 (sqrt.f64 (-.f64 3/2 (sqrt.f64 5/4))) (sqrt.f64 (-.f64 3/2 (sqrt.f64 5/4))))
(*.f64 (cbrt.f64 (-.f64 3/2 (sqrt.f64 5/4))) (cbrt.f64 (pow.f64 (-.f64 3/2 (sqrt.f64 5/4)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 3/2 (sqrt.f64 5/4)) 2)) (cbrt.f64 (-.f64 3/2 (sqrt.f64 5/4))))
(.f64 (-.f64 27/8 (.f64 (sqrt.f64 5/4) 5/4)) (/.f64 1 (+.f64 (*.f64 3/2 (sqrt.f64 5/4)) 7/2)))
(/.f64 1 (+.f64 3/2 (sqrt.f64 5/4)))
(/.f64 1 (/.f64 (+.f64 3/2 (sqrt.f64 5/4)) 1))
(/.f64 1 (/.f64 (+.f64 (.f64 3/2 (sqrt.f64 5/4)) 7/2) (-.f64 27/8 (.f64 (sqrt.f64 5/4) 5/4))))
(/.f64 (-.f64 27/8 (.f64 (sqrt.f64 5/4) 5/4)) (+.f64 (.f64 3/2 (sqrt.f64 5/4)) 7/2))
(/.f64 -1 (neg.f64 (+.f64 3/2 (sqrt.f64 5/4))))
(/.f64 (-.f64 9/4 (*.f64 (neg.f64 (sqrt.f64 5/4)) (neg.f64 (sqrt.f64 5/4)))) (-.f64 3/2 (neg.f64 (sqrt.f64 5/4))))
(/.f64 (+.f64 27/8 (pow.f64 (neg.f64 (sqrt.f64 5/4)) 3)) (+.f64 9/4 (-.f64 (.f64 (neg.f64 (sqrt.f64 5/4)) (neg.f64 (sqrt.f64 5/4))) (.f64 3/2 (neg.f64 (sqrt.f64 5/4))))))
(/.f64 (neg.f64 (-.f64 27/8 (.f64 (sqrt.f64 5/4) 5/4))) (neg.f64 (+.f64 (.f64 3/2 (sqrt.f64 5/4)) 7/2)))
(pow.f64 (-.f64 3/2 (sqrt.f64 5/4)) 1)
(pow.f64 (sqrt.f64 (-.f64 3/2 (sqrt.f64 5/4))) 2)
(pow.f64 (cbrt.f64 (-.f64 3/2 (sqrt.f64 5/4))) 3)
(pow.f64 (pow.f64 (-.f64 3/2 (sqrt.f64 5/4)) 3) 1/3)
(sqrt.f64 (pow.f64 (-.f64 3/2 (sqrt.f64 5/4)) 2))
(log.f64 (exp.f64 (-.f64 3/2 (sqrt.f64 5/4))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 3/2 (sqrt.f64 5/4)))))
(cbrt.f64 (pow.f64 (-.f64 3/2 (sqrt.f64 5/4)) 3))
(expm1.f64 (log.f64 (-.f64 5/2 (sqrt.f64 5/4))))
(exp.f64 (log.f64 (-.f64 3/2 (sqrt.f64 5/4))))
(exp.f64 (*.f64 (log.f64 (-.f64 3/2 (sqrt.f64 5/4))) 1))
(log1p.f64 (expm1.f64 (-.f64 3/2 (sqrt.f64 5/4))))
(+.f64 (.f64 (sqrt.f64 2) (sin.f64 x)) (.f64 (sqrt.f64 2) (*.f64 (sin.f64 y) -1/16)))
(+.f64 (.f64 (sqrt.f64 2) (.f64 (sin.f64 y) -1/16)) (*.f64 (sqrt.f64 2) (sin.f64 x)))
(+.f64 (.f64 (sin.f64 x) (sqrt.f64 2)) (.f64 (*.f64 (sin.f64 y) -1/16) (sqrt.f64 2)))
(+.f64 (.f64 (.f64 (sin.f64 y) -1/16) (sqrt.f64 2)) (*.f64 (sin.f64 x) (sqrt.f64 2)))
(-.f64 (exp.f64 (log1p.f64 (.f64 (sqrt.f64 2) (+.f64 (sin.f64 x) (.f64 (sin.f64 y) -1/16))))) 1)
(/.f64 (.f64 (sqrt.f64 2) (-.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (.f64 (sin.f64 y) 1/16) 2))) (+.f64 (sin.f64 x) (*.f64 (sin.f64 y) 1/16)))
(/.f64 (.f64 (sqrt.f64 2) (-.f64 (pow.f64 (sin.f64 x) 3) (.f64 (pow.f64 (sin.f64 y) 3) 1/4096))) (+.f64 (pow.f64 (sin.f64 x) 2) (.f64 (.f64 (sin.f64 y) 1/16) (+.f64 (sin.f64 x) (*.f64 (sin.f64 y) 1/16)))))
(/.f64 (.f64 (-.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (.f64 (sin.f64 y) 1/16) 2)) (sqrt.f64 2)) (+.f64 (sin.f64 x) (*.f64 (sin.f64 y) 1/16)))
(/.f64 (.f64 (-.f64 (pow.f64 (sin.f64 x) 3) (.f64 (pow.f64 (sin.f64 y) 3) 1/4096)) (sqrt.f64 2)) (+.f64 (pow.f64 (sin.f64 x) 2) (.f64 (.f64 (sin.f64 y) 1/16) (+.f64 (sin.f64 x) (*.f64 (sin.f64 y) 1/16)))))
(pow.f64 (.f64 (sqrt.f64 2) (+.f64 (sin.f64 x) (.f64 (sin.f64 y) -1/16))) 1)
(pow.f64 (sqrt.f64 (.f64 (sqrt.f64 2) (+.f64 (sin.f64 x) (.f64 (sin.f64 y) -1/16)))) 2)
(pow.f64 (cbrt.f64 (.f64 (sqrt.f64 2) (+.f64 (sin.f64 x) (.f64 (sin.f64 y) -1/16)))) 3)
(pow.f64 (pow.f64 (.f64 (sqrt.f64 2) (+.f64 (sin.f64 x) (.f64 (sin.f64 y) -1/16))) 3) 1/3)
(sqrt.f64 (.f64 2 (pow.f64 (+.f64 (sin.f64 x) (.f64 (sin.f64 y) -1/16)) 2)))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 2)) (+.f64 (sin.f64 x) (*.f64 (sin.f64 y) -1/16))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (sqrt.f64 2) (+.f64 (sin.f64 x) (.f64 (sin.f64 y) -1/16))))))
(cbrt.f64 (pow.f64 (.f64 (sqrt.f64 2) (+.f64 (sin.f64 x) (.f64 (sin.f64 y) -1/16))) 3))
(cbrt.f64 (.f64 (.f64 2 (sqrt.f64 2)) (pow.f64 (+.f64 (sin.f64 x) (*.f64 (sin.f64 y) -1/16)) 3)))
(cbrt.f64 (.f64 (pow.f64 (+.f64 (sin.f64 x) (.f64 (sin.f64 y) -1/16)) 3) (*.f64 2 (sqrt.f64 2))))
(expm1.f64 (log1p.f64 (.f64 (sqrt.f64 2) (+.f64 (sin.f64 x) (.f64 (sin.f64 y) -1/16)))))
(exp.f64 (log.f64 (.f64 (sqrt.f64 2) (+.f64 (sin.f64 x) (.f64 (sin.f64 y) -1/16)))))
(exp.f64 (.f64 (log.f64 (.f64 (sqrt.f64 2) (+.f64 (sin.f64 x) (*.f64 (sin.f64 y) -1/16)))) 1))
(log1p.f64 (expm1.f64 (.f64 (sqrt.f64 2) (+.f64 (sin.f64 x) (.f64 (sin.f64 y) -1/16)))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) -1/2) (/.f64 (cos.f64 y) (+.f64 3/2 (sqrt.f64 5/4)))))) 1)
(-.f64 (/.f64 (pow.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) -1/2)) 2) (-.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) -1/2)) (/.f64 (cos.f64 y) (+.f64 3/2 (sqrt.f64 5/4))))) (/.f64 (pow.f64 (/.f64 (cos.f64 y) (+.f64 3/2 (sqrt.f64 5/4))) 2) (-.f64 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) -1/2)) (/.f64 (cos.f64 y) (+.f64 3/2 (sqrt.f64 5/4))))))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) -1/2)) (exp.f64 (log1p.f64 (/.f64 (cos.f64 y) (+.f64 3/2 (sqrt.f64 5/4)))))) 1)
(-.f64 (+.f64 (/.f64 (cos.f64 y) (+.f64 3/2 (sqrt.f64 5/4))) (exp.f64 (log1p.f64 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) -1/2))))) 1)
(*.f64 (fma.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) -1/2) (/.f64 (cos.f64 y) (+.f64 3/2 (sqrt.f64 5/4)))) 1)
(*.f64 1 (fma.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) -1/2) (/.f64 (cos.f64 y) (+.f64 3/2 (sqrt.f64 5/4)))))
(*.f64 (sqrt.f64 (fma.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) -1/2) (/.f64 (cos.f64 y) (+.f64 3/2 (sqrt.f64 5/4))))) (sqrt.f64 (fma.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) -1/2) (/.f64 (cos.f64 y) (+.f64 3/2 (sqrt.f64 5/4))))))
(*.f64 (cbrt.f64 (fma.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) -1/2) (/.f64 (cos.f64 y) (+.f64 3/2 (sqrt.f64 5/4))))) (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) -1/2) (/.f64 (cos.f64 y) (+.f64 3/2 (sqrt.f64 5/4))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) -1/2) (/.f64 (cos.f64 y) (+.f64 3/2 (sqrt.f64 5/4))))) 2) (cbrt.f64 (fma.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) -1/2) (/.f64 (cos.f64 y) (+.f64 3/2 (sqrt.f64 5/4))))))
(.f64 (-.f64 (pow.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) -1/2)) 2) (pow.f64 (/.f64 (cos.f64 y) (+.f64 3/2 (sqrt.f64 5/4))) 2)) (/.f64 1 (-.f64 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) -1/2)) (/.f64 (cos.f64 y) (+.f64 3/2 (sqrt.f64 5/4))))))
(.f64 (+.f64 (pow.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) -1/2)) 3) (pow.f64 (/.f64 (cos.f64 y) (+.f64 3/2 (sqrt.f64 5/4))) 3)) (/.f64 1 (+.f64 (pow.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) -1/2)) 2) (.f64 (/.f64 (cos.f64 y) (+.f64 3/2 (sqrt.f64 5/4))) (-.f64 (/.f64 (cos.f64 y) (+.f64 3/2 (sqrt.f64 5/4))) (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) -1/2)))))))
(/.f64 1 (/.f64 (-.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) -1/2)) (/.f64 (cos.f64 y) (+.f64 3/2 (sqrt.f64 5/4)))) (-.f64 (pow.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) -1/2)) 2) (pow.f64 (/.f64 (cos.f64 y) (+.f64 3/2 (sqrt.f64 5/4))) 2))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) -1/2)) 2) (.f64 (/.f64 (cos.f64 y) (+.f64 3/2 (sqrt.f64 5/4))) (-.f64 (/.f64 (cos.f64 y) (+.f64 3/2 (sqrt.f64 5/4))) (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) -1/2))))) (+.f64 (pow.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) -1/2)) 3) (pow.f64 (/.f64 (cos.f64 y) (+.f64 3/2 (sqrt.f64 5/4))) 3))))
(/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) -1/2)) 2) (pow.f64 (/.f64 (cos.f64 y) (+.f64 3/2 (sqrt.f64 5/4))) 2)) (-.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) -1/2)) (/.f64 (cos.f64 y) (+.f64 3/2 (sqrt.f64 5/4)))))
(/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) -1/2)) 3) (pow.f64 (/.f64 (cos.f64 y) (+.f64 3/2 (sqrt.f64 5/4))) 3)) (+.f64 (pow.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) -1/2)) 2) (.f64 (/.f64 (cos.f64 y) (+.f64 3/2 (sqrt.f64 5/4))) (-.f64 (/.f64 (cos.f64 y) (+.f64 3/2 (sqrt.f64 5/4))) (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) -1/2))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (cos.f64 y) (+.f64 3/2 (sqrt.f64 5/4))) 2) (pow.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) -1/2)) 2)) (-.f64 (/.f64 (cos.f64 y) (+.f64 3/2 (sqrt.f64 5/4))) (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) -1/2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) -1/2)) 2) (pow.f64 (/.f64 (cos.f64 y) (+.f64 3/2 (sqrt.f64 5/4))) 2))) (neg.f64 (-.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) -1/2)) (/.f64 (cos.f64 y) (+.f64 3/2 (sqrt.f64 5/4))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) -1/2)) 3) (pow.f64 (/.f64 (cos.f64 y) (+.f64 3/2 (sqrt.f64 5/4))) 3))) (neg.f64 (+.f64 (pow.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) -1/2)) 2) (.f64 (/.f64 (cos.f64 y) (+.f64 3/2 (sqrt.f64 5/4))) (-.f64 (/.f64 (cos.f64 y) (+.f64 3/2 (sqrt.f64 5/4))) (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) -1/2)))))))
(pow.f64 (fma.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) -1/2) (/.f64 (cos.f64 y) (+.f64 3/2 (sqrt.f64 5/4)))) 1)
(pow.f64 (sqrt.f64 (fma.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) -1/2) (/.f64 (cos.f64 y) (+.f64 3/2 (sqrt.f64 5/4))))) 2)
(pow.f64 (cbrt.f64 (fma.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) -1/2) (/.f64 (cos.f64 y) (+.f64 3/2 (sqrt.f64 5/4))))) 3)
(pow.f64 (pow.f64 (fma.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) -1/2) (/.f64 (cos.f64 y) (+.f64 3/2 (sqrt.f64 5/4)))) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) -1/2) (/.f64 (cos.f64 y) (+.f64 3/2 (sqrt.f64 5/4)))) 2))
(log.f64 (exp.f64 (fma.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) -1/2) (/.f64 (cos.f64 y) (+.f64 3/2 (sqrt.f64 5/4))))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) -1/2) (/.f64 (cos.f64 y) (+.f64 3/2 (sqrt.f64 5/4)))))))
(cbrt.f64 (pow.f64 (fma.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) -1/2) (/.f64 (cos.f64 y) (+.f64 3/2 (sqrt.f64 5/4)))) 3))
(expm1.f64 (log1p.f64 (fma.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) -1/2) (/.f64 (cos.f64 y) (+.f64 3/2 (sqrt.f64 5/4))))))
(exp.f64 (log.f64 (fma.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) -1/2) (/.f64 (cos.f64 y) (+.f64 3/2 (sqrt.f64 5/4))))))
(exp.f64 (*.f64 (log.f64 (fma.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) -1/2) (/.f64 (cos.f64 y) (+.f64 3/2 (sqrt.f64 5/4))))) 1))
(log1p.f64 (expm1.f64 (fma.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) -1/2) (/.f64 (cos.f64 y) (+.f64 3/2 (sqrt.f64 5/4))))))
(fma.f64 (-.f64 3/2 (sqrt.f64 5/4)) (cos.f64 y) (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) -1/2)))
(fma.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) -1/2) (/.f64 (cos.f64 y) (+.f64 3/2 (sqrt.f64 5/4))))
(fma.f64 (+.f64 (sqrt.f64 5/4) -1/2) (cos.f64 x) (/.f64 (cos.f64 y) (+.f64 3/2 (sqrt.f64 5/4))))
(fma.f64 (cos.f64 y) (-.f64 3/2 (sqrt.f64 5/4)) (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) -1/2)))
(fma.f64 1 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) -1/2)) (/.f64 (cos.f64 y) (+.f64 3/2 (sqrt.f64 5/4))))
(fma.f64 1 (/.f64 (cos.f64 y) (+.f64 3/2 (sqrt.f64 5/4))) (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) -1/2)))
(fma.f64 (sqrt.f64 (/.f64 (cos.f64 y) (+.f64 3/2 (sqrt.f64 5/4)))) (sqrt.f64 (/.f64 (cos.f64 y) (+.f64 3/2 (sqrt.f64 5/4)))) (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) -1/2)))
(fma.f64 (sqrt.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) -1/2))) (sqrt.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) -1/2))) (/.f64 (cos.f64 y) (+.f64 3/2 (sqrt.f64 5/4))))
(fma.f64 (cbrt.f64 (pow.f64 (/.f64 (cos.f64 y) (+.f64 3/2 (sqrt.f64 5/4))) 2)) (cbrt.f64 (/.f64 (cos.f64 y) (+.f64 3/2 (sqrt.f64 5/4)))) (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) -1/2)))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) -1/2))) 2) (cbrt.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) -1/2))) (/.f64 (cos.f64 y) (+.f64 3/2 (sqrt.f64 5/4))))

Outputs
(.f64 -1/16 (.f64 (sqrt.f64 2) (sin.f64 y)))
(.f64 (sin.f64 y) (.f64 -1/16 (sqrt.f64 2)))
(.f64 (sqrt.f64 2) (.f64 -1/16 (sin.f64 y)))
(+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) (sin.f64 y))) (*.f64 (sqrt.f64 2) x))
(fma.f64 -1/16 (.f64 (sqrt.f64 2) (sin.f64 y)) (.f64 (sqrt.f64 2) x))
(.f64 (sqrt.f64 2) (+.f64 (.f64 -1/16 (sin.f64 y)) x))
(.f64 (sqrt.f64 2) (+.f64 x (.f64 -1/16 (sin.f64 y))))
(+.f64 (.f64 -1/6 (.f64 (sqrt.f64 2) (pow.f64 x 3))) (+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) (sin.f64 y))) (*.f64 (sqrt.f64 2) x)))
(fma.f64 -1/6 (.f64 (sqrt.f64 2) (pow.f64 x 3)) (fma.f64 -1/16 (.f64 (sqrt.f64 2) (sin.f64 y)) (*.f64 (sqrt.f64 2) x)))
(fma.f64 -1/6 (.f64 (sqrt.f64 2) (pow.f64 x 3)) (.f64 (sqrt.f64 2) (+.f64 (*.f64 -1/16 (sin.f64 y)) x)))
(fma.f64 -1/6 (.f64 (sqrt.f64 2) (pow.f64 x 3)) (.f64 (sqrt.f64 2) (+.f64 x (*.f64 -1/16 (sin.f64 y)))))
(+.f64 (.f64 -1/6 (.f64 (sqrt.f64 2) (pow.f64 x 3))) (+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) (sin.f64 y))) (+.f64 (.f64 (sqrt.f64 2) x) (.f64 1/120 (*.f64 (sqrt.f64 2) (pow.f64 x 5))))))
(fma.f64 -1/6 (.f64 (sqrt.f64 2) (pow.f64 x 3)) (fma.f64 -1/16 (.f64 (sqrt.f64 2) (sin.f64 y)) (fma.f64 (sqrt.f64 2) x (.f64 1/120 (.f64 (sqrt.f64 2) (pow.f64 x 5))))))
(fma.f64 -1/6 (.f64 (sqrt.f64 2) (pow.f64 x 3)) (+.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 -1/16 (sin.f64 y)) x)) (.f64 (sqrt.f64 2) (*.f64 (pow.f64 x 5) 1/120))))
(+.f64 (fma.f64 -1/6 (.f64 (sqrt.f64 2) (pow.f64 x 3)) (.f64 (sqrt.f64 2) (+.f64 x (.f64 -1/16 (sin.f64 y))))) (.f64 (sqrt.f64 2) (*.f64 (pow.f64 x 5) 1/120)))
(.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))))
(.f64 (sqrt.f64 2) (+.f64 (sin.f64 x) (.f64 -1/16 (sin.f64 y))))
(*.f64 (sqrt.f64 2) (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)))
(.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))))
(.f64 (sqrt.f64 2) (+.f64 (sin.f64 x) (.f64 -1/16 (sin.f64 y))))
(*.f64 (sqrt.f64 2) (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)))
(.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))))
(.f64 (sqrt.f64 2) (+.f64 (sin.f64 x) (.f64 -1/16 (sin.f64 y))))
(*.f64 (sqrt.f64 2) (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)))
(.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))))
(.f64 (sqrt.f64 2) (+.f64 (sin.f64 x) (.f64 -1/16 (sin.f64 y))))
(*.f64 (sqrt.f64 2) (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)))
(.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))))
(.f64 (sqrt.f64 2) (+.f64 (sin.f64 x) (.f64 -1/16 (sin.f64 y))))
(*.f64 (sqrt.f64 2) (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)))
(.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))))
(.f64 (sqrt.f64 2) (+.f64 (sin.f64 x) (.f64 -1/16 (sin.f64 y))))
(*.f64 (sqrt.f64 2) (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)))
(.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))))
(.f64 (sqrt.f64 2) (+.f64 (sin.f64 x) (.f64 -1/16 (sin.f64 y))))
(*.f64 (sqrt.f64 2) (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)))
(.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))))
(.f64 (sqrt.f64 2) (+.f64 (sin.f64 x) (.f64 -1/16 (sin.f64 y))))
(*.f64 (sqrt.f64 2) (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)))
(*.f64 (sqrt.f64 2) (sin.f64 x))
(+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) y)) (*.f64 (sqrt.f64 2) (sin.f64 x)))
(fma.f64 -1/16 (.f64 (sqrt.f64 2) y) (.f64 (sqrt.f64 2) (sin.f64 x)))
(fma.f64 (sqrt.f64 2) (sin.f64 x) (.f64 -1/16 (.f64 (sqrt.f64 2) y)))
(fma.f64 (sqrt.f64 2) (sin.f64 x) (.f64 (.f64 -1/16 y) (sqrt.f64 2)))
(+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) y)) (+.f64 (.f64 1/96 (.f64 (sqrt.f64 2) (pow.f64 y 3))) (*.f64 (sqrt.f64 2) (sin.f64 x))))
(fma.f64 -1/16 (.f64 (sqrt.f64 2) y) (fma.f64 1/96 (.f64 (sqrt.f64 2) (pow.f64 y 3)) (*.f64 (sqrt.f64 2) (sin.f64 x))))
(fma.f64 -1/16 (.f64 (sqrt.f64 2) y) (fma.f64 (sqrt.f64 2) (sin.f64 x) (.f64 (sqrt.f64 2) (*.f64 (pow.f64 y 3) 1/96))))
(+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) y)) (+.f64 (.f64 1/96 (.f64 (sqrt.f64 2) (pow.f64 y 3))) (+.f64 (.f64 (sqrt.f64 2) (sin.f64 x)) (.f64 -1/1920 (*.f64 (sqrt.f64 2) (pow.f64 y 5))))))
(fma.f64 -1/16 (.f64 (sqrt.f64 2) y) (fma.f64 1/96 (.f64 (sqrt.f64 2) (pow.f64 y 3)) (fma.f64 (sqrt.f64 2) (sin.f64 x) (.f64 (.f64 -1/1920 (sqrt.f64 2)) (pow.f64 y 5)))))
(fma.f64 -1/16 (.f64 (sqrt.f64 2) y) (fma.f64 1/96 (.f64 (sqrt.f64 2) (pow.f64 y 3)) (fma.f64 (sqrt.f64 2) (sin.f64 x) (.f64 (sqrt.f64 2) (.f64 (pow.f64 y 5) -1/1920)))))
(fma.f64 -1/16 (.f64 (sqrt.f64 2) y) (fma.f64 1/96 (.f64 (sqrt.f64 2) (pow.f64 y 3)) (fma.f64 (sqrt.f64 2) (sin.f64 x) (.f64 (pow.f64 y 5) (.f64 (sqrt.f64 2) -1/1920)))))
(.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))))
(.f64 (sqrt.f64 2) (+.f64 (sin.f64 x) (.f64 -1/16 (sin.f64 y))))
(*.f64 (sqrt.f64 2) (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)))
(.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))))
(.f64 (sqrt.f64 2) (+.f64 (sin.f64 x) (.f64 -1/16 (sin.f64 y))))
(*.f64 (sqrt.f64 2) (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)))
(.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))))
(.f64 (sqrt.f64 2) (+.f64 (sin.f64 x) (.f64 -1/16 (sin.f64 y))))
(*.f64 (sqrt.f64 2) (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)))
(.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))))
(.f64 (sqrt.f64 2) (+.f64 (sin.f64 x) (.f64 -1/16 (sin.f64 y))))
(*.f64 (sqrt.f64 2) (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)))
(.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))))
(.f64 (sqrt.f64 2) (+.f64 (sin.f64 x) (.f64 -1/16 (sin.f64 y))))
(*.f64 (sqrt.f64 2) (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)))
(.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))))
(.f64 (sqrt.f64 2) (+.f64 (sin.f64 x) (.f64 -1/16 (sin.f64 y))))
(*.f64 (sqrt.f64 2) (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)))
(.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))))
(.f64 (sqrt.f64 2) (+.f64 (sin.f64 x) (.f64 -1/16 (sin.f64 y))))
(*.f64 (sqrt.f64 2) (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)))
(.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))))
(.f64 (sqrt.f64 2) (+.f64 (sin.f64 x) (.f64 -1/16 (sin.f64 y))))
(*.f64 (sqrt.f64 2) (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)))
(-.f64 (+.f64 (.f64 1/2 (sqrt.f64 5)) (.f64 (-.f64 3/2 (*.f64 1/2 (sqrt.f64 5))) (cos.f64 y))) 1/2)
(+.f64 (fma.f64 1/2 (sqrt.f64 5) (.f64 (+.f64 3/2 (.f64 -1/2 (sqrt.f64 5))) (cos.f64 y))) -1/2)
(fma.f64 1/2 (sqrt.f64 5) (fma.f64 (+.f64 3/2 (*.f64 (sqrt.f64 5) -1/2)) (cos.f64 y) -1/2))
(-.f64 (+.f64 (.f64 -1/2 (.f64 (pow.f64 x 2) (-.f64 (.f64 1/2 (sqrt.f64 5)) 1/2))) (+.f64 (.f64 1/2 (sqrt.f64 5)) (.f64 (-.f64 3/2 (.f64 1/2 (sqrt.f64 5))) (cos.f64 y)))) 1/2)
(+.f64 (fma.f64 -1/2 (.f64 (.f64 x x) (fma.f64 1/2 (sqrt.f64 5) -1/2)) (fma.f64 1/2 (sqrt.f64 5) (.f64 (+.f64 3/2 (.f64 -1/2 (sqrt.f64 5))) (cos.f64 y)))) -1/2)
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(/.f64 (-.f64 (pow.f64 (/.f64 (cos.f64 y) (+.f64 3/2 (sqrt.f64 5/4))) 2) (pow.f64 (.f64 (cos.f64 x) (+.f64 -1/2 (sqrt.f64 5/4))) 2)) (-.f64 (/.f64 (cos.f64 y) (+.f64 3/2 (sqrt.f64 5/4))) (.f64 (cos.f64 x) (+.f64 -1/2 (sqrt.f64 5/4)))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) -1/2)) 2) (.f64 (/.f64 (cos.f64 y) (+.f64 3/2 (sqrt.f64 5/4))) (-.f64 (/.f64 (cos.f64 y) (+.f64 3/2 (sqrt.f64 5/4))) (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) -1/2))))) (+.f64 (pow.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) -1/2)) 3) (pow.f64 (/.f64 (cos.f64 y) (+.f64 3/2 (sqrt.f64 5/4))) 3))))
(.f64 (+.f64 (pow.f64 (.f64 (cos.f64 x) (+.f64 -1/2 (sqrt.f64 5/4))) 3) (pow.f64 (/.f64 (cos.f64 y) (+.f64 3/2 (sqrt.f64 5/4))) 3)) (/.f64 1 (+.f64 (pow.f64 (.f64 (cos.f64 x) (+.f64 -1/2 (sqrt.f64 5/4))) 2) (.f64 (/.f64 (cos.f64 y) (+.f64 3/2 (sqrt.f64 5/4))) (-.f64 (/.f64 (cos.f64 y) (+.f64 3/2 (sqrt.f64 5/4))) (*.f64 (cos.f64 x) (+.f64 -1/2 (sqrt.f64 5/4))))))))
(/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 x) (+.f64 -1/2 (sqrt.f64 5/4))) 3) (pow.f64 (/.f64 (cos.f64 y) (+.f64 3/2 (sqrt.f64 5/4))) 3)) (fma.f64 (/.f64 (cos.f64 y) (+.f64 3/2 (sqrt.f64 5/4))) (-.f64 (/.f64 (cos.f64 y) (+.f64 3/2 (sqrt.f64 5/4))) (.f64 (cos.f64 x) (+.f64 -1/2 (sqrt.f64 5/4)))) (pow.f64 (*.f64 (cos.f64 x) (+.f64 -1/2 (sqrt.f64 5/4))) 2)))
(/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) -1/2)) 2) (pow.f64 (/.f64 (cos.f64 y) (+.f64 3/2 (sqrt.f64 5/4))) 2)) (-.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) -1/2)) (/.f64 (cos.f64 y) (+.f64 3/2 (sqrt.f64 5/4)))))
(/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 x) (+.f64 -1/2 (sqrt.f64 5/4))) 2) (pow.f64 (/.f64 (cos.f64 y) (+.f64 3/2 (sqrt.f64 5/4))) 2)) (-.f64 (.f64 (cos.f64 x) (+.f64 -1/2 (sqrt.f64 5/4))) (/.f64 (cos.f64 y) (+.f64 3/2 (sqrt.f64 5/4)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (cos.f64 y) (+.f64 3/2 (sqrt.f64 5/4))) 2) (pow.f64 (.f64 (cos.f64 x) (+.f64 -1/2 (sqrt.f64 5/4))) 2)) (-.f64 (/.f64 (cos.f64 y) (+.f64 3/2 (sqrt.f64 5/4))) (.f64 (cos.f64 x) (+.f64 -1/2 (sqrt.f64 5/4)))))
(/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) -1/2)) 3) (pow.f64 (/.f64 (cos.f64 y) (+.f64 3/2 (sqrt.f64 5/4))) 3)) (+.f64 (pow.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) -1/2)) 2) (.f64 (/.f64 (cos.f64 y) (+.f64 3/2 (sqrt.f64 5/4))) (-.f64 (/.f64 (cos.f64 y) (+.f64 3/2 (sqrt.f64 5/4))) (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) -1/2))))))
(.f64 (+.f64 (pow.f64 (.f64 (cos.f64 x) (+.f64 -1/2 (sqrt.f64 5/4))) 3) (pow.f64 (/.f64 (cos.f64 y) (+.f64 3/2 (sqrt.f64 5/4))) 3)) (/.f64 1 (+.f64 (pow.f64 (.f64 (cos.f64 x) (+.f64 -1/2 (sqrt.f64 5/4))) 2) (.f64 (/.f64 (cos.f64 y) (+.f64 3/2 (sqrt.f64 5/4))) (-.f64 (/.f64 (cos.f64 y) (+.f64 3/2 (sqrt.f64 5/4))) (*.f64 (cos.f64 x) (+.f64 -1/2 (sqrt.f64 5/4))))))))
(/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 x) (+.f64 -1/2 (sqrt.f64 5/4))) 3) (pow.f64 (/.f64 (cos.f64 y) (+.f64 3/2 (sqrt.f64 5/4))) 3)) (fma.f64 (/.f64 (cos.f64 y) (+.f64 3/2 (sqrt.f64 5/4))) (-.f64 (/.f64 (cos.f64 y) (+.f64 3/2 (sqrt.f64 5/4))) (.f64 (cos.f64 x) (+.f64 -1/2 (sqrt.f64 5/4)))) (pow.f64 (*.f64 (cos.f64 x) (+.f64 -1/2 (sqrt.f64 5/4))) 2)))
(/.f64 (-.f64 (pow.f64 (/.f64 (cos.f64 y) (+.f64 3/2 (sqrt.f64 5/4))) 2) (pow.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) -1/2)) 2)) (-.f64 (/.f64 (cos.f64 y) (+.f64 3/2 (sqrt.f64 5/4))) (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) -1/2))))
(/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 x) (+.f64 -1/2 (sqrt.f64 5/4))) 2) (pow.f64 (/.f64 (cos.f64 y) (+.f64 3/2 (sqrt.f64 5/4))) 2)) (-.f64 (.f64 (cos.f64 x) (+.f64 -1/2 (sqrt.f64 5/4))) (/.f64 (cos.f64 y) (+.f64 3/2 (sqrt.f64 5/4)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (cos.f64 y) (+.f64 3/2 (sqrt.f64 5/4))) 2) (pow.f64 (.f64 (cos.f64 x) (+.f64 -1/2 (sqrt.f64 5/4))) 2)) (-.f64 (/.f64 (cos.f64 y) (+.f64 3/2 (sqrt.f64 5/4))) (.f64 (cos.f64 x) (+.f64 -1/2 (sqrt.f64 5/4)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) -1/2)) 2) (pow.f64 (/.f64 (cos.f64 y) (+.f64 3/2 (sqrt.f64 5/4))) 2))) (neg.f64 (-.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) -1/2)) (/.f64 (cos.f64 y) (+.f64 3/2 (sqrt.f64 5/4))))))
(/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 x) (+.f64 -1/2 (sqrt.f64 5/4))) 2) (pow.f64 (/.f64 (cos.f64 y) (+.f64 3/2 (sqrt.f64 5/4))) 2)) (-.f64 (.f64 (cos.f64 x) (+.f64 -1/2 (sqrt.f64 5/4))) (/.f64 (cos.f64 y) (+.f64 3/2 (sqrt.f64 5/4)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (cos.f64 y) (+.f64 3/2 (sqrt.f64 5/4))) 2) (pow.f64 (.f64 (cos.f64 x) (+.f64 -1/2 (sqrt.f64 5/4))) 2)) (-.f64 (/.f64 (cos.f64 y) (+.f64 3/2 (sqrt.f64 5/4))) (.f64 (cos.f64 x) (+.f64 -1/2 (sqrt.f64 5/4)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) -1/2)) 3) (pow.f64 (/.f64 (cos.f64 y) (+.f64 3/2 (sqrt.f64 5/4))) 3))) (neg.f64 (+.f64 (pow.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) -1/2)) 2) (.f64 (/.f64 (cos.f64 y) (+.f64 3/2 (sqrt.f64 5/4))) (-.f64 (/.f64 (cos.f64 y) (+.f64 3/2 (sqrt.f64 5/4))) (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) -1/2)))))))
(.f64 (+.f64 (pow.f64 (.f64 (cos.f64 x) (+.f64 -1/2 (sqrt.f64 5/4))) 3) (pow.f64 (/.f64 (cos.f64 y) (+.f64 3/2 (sqrt.f64 5/4))) 3)) (/.f64 1 (+.f64 (pow.f64 (.f64 (cos.f64 x) (+.f64 -1/2 (sqrt.f64 5/4))) 2) (.f64 (/.f64 (cos.f64 y) (+.f64 3/2 (sqrt.f64 5/4))) (-.f64 (/.f64 (cos.f64 y) (+.f64 3/2 (sqrt.f64 5/4))) (*.f64 (cos.f64 x) (+.f64 -1/2 (sqrt.f64 5/4))))))))
(/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 x) (+.f64 -1/2 (sqrt.f64 5/4))) 3) (pow.f64 (/.f64 (cos.f64 y) (+.f64 3/2 (sqrt.f64 5/4))) 3)) (fma.f64 (/.f64 (cos.f64 y) (+.f64 3/2 (sqrt.f64 5/4))) (-.f64 (/.f64 (cos.f64 y) (+.f64 3/2 (sqrt.f64 5/4))) (.f64 (cos.f64 x) (+.f64 -1/2 (sqrt.f64 5/4)))) (pow.f64 (*.f64 (cos.f64 x) (+.f64 -1/2 (sqrt.f64 5/4))) 2)))
(pow.f64 (fma.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) -1/2) (/.f64 (cos.f64 y) (+.f64 3/2 (sqrt.f64 5/4)))) 1)
(fma.f64 (cos.f64 x) (+.f64 -1/2 (sqrt.f64 5/4)) (/.f64 (cos.f64 y) (+.f64 3/2 (sqrt.f64 5/4))))
(pow.f64 (sqrt.f64 (fma.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) -1/2) (/.f64 (cos.f64 y) (+.f64 3/2 (sqrt.f64 5/4))))) 2)
(fma.f64 (cos.f64 x) (+.f64 -1/2 (sqrt.f64 5/4)) (/.f64 (cos.f64 y) (+.f64 3/2 (sqrt.f64 5/4))))
(pow.f64 (cbrt.f64 (fma.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) -1/2) (/.f64 (cos.f64 y) (+.f64 3/2 (sqrt.f64 5/4))))) 3)
(fma.f64 (cos.f64 x) (+.f64 -1/2 (sqrt.f64 5/4)) (/.f64 (cos.f64 y) (+.f64 3/2 (sqrt.f64 5/4))))
(pow.f64 (pow.f64 (fma.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) -1/2) (/.f64 (cos.f64 y) (+.f64 3/2 (sqrt.f64 5/4)))) 3) 1/3)
(fma.f64 (cos.f64 x) (+.f64 -1/2 (sqrt.f64 5/4)) (/.f64 (cos.f64 y) (+.f64 3/2 (sqrt.f64 5/4))))
(sqrt.f64 (pow.f64 (fma.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) -1/2) (/.f64 (cos.f64 y) (+.f64 3/2 (sqrt.f64 5/4)))) 2))
(sqrt.f64 (pow.f64 (fma.f64 (cos.f64 x) (+.f64 -1/2 (sqrt.f64 5/4)) (/.f64 (cos.f64 y) (+.f64 3/2 (sqrt.f64 5/4)))) 2))
(fabs.f64 (fma.f64 (cos.f64 x) (+.f64 -1/2 (sqrt.f64 5/4)) (/.f64 (cos.f64 y) (+.f64 3/2 (sqrt.f64 5/4)))))
(log.f64 (exp.f64 (fma.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) -1/2) (/.f64 (cos.f64 y) (+.f64 3/2 (sqrt.f64 5/4))))))
(fma.f64 (cos.f64 x) (+.f64 -1/2 (sqrt.f64 5/4)) (/.f64 (cos.f64 y) (+.f64 3/2 (sqrt.f64 5/4))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) -1/2) (/.f64 (cos.f64 y) (+.f64 3/2 (sqrt.f64 5/4)))))))
(fma.f64 (cos.f64 x) (+.f64 -1/2 (sqrt.f64 5/4)) (/.f64 (cos.f64 y) (+.f64 3/2 (sqrt.f64 5/4))))
(cbrt.f64 (pow.f64 (fma.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) -1/2) (/.f64 (cos.f64 y) (+.f64 3/2 (sqrt.f64 5/4)))) 3))
(fma.f64 (cos.f64 x) (+.f64 -1/2 (sqrt.f64 5/4)) (/.f64 (cos.f64 y) (+.f64 3/2 (sqrt.f64 5/4))))
(expm1.f64 (log1p.f64 (fma.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) -1/2) (/.f64 (cos.f64 y) (+.f64 3/2 (sqrt.f64 5/4))))))
(fma.f64 (cos.f64 x) (+.f64 -1/2 (sqrt.f64 5/4)) (/.f64 (cos.f64 y) (+.f64 3/2 (sqrt.f64 5/4))))
(exp.f64 (log.f64 (fma.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) -1/2) (/.f64 (cos.f64 y) (+.f64 3/2 (sqrt.f64 5/4))))))
(fma.f64 (cos.f64 x) (+.f64 -1/2 (sqrt.f64 5/4)) (/.f64 (cos.f64 y) (+.f64 3/2 (sqrt.f64 5/4))))
(exp.f64 (*.f64 (log.f64 (fma.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) -1/2) (/.f64 (cos.f64 y) (+.f64 3/2 (sqrt.f64 5/4))))) 1))
(fma.f64 (cos.f64 x) (+.f64 -1/2 (sqrt.f64 5/4)) (/.f64 (cos.f64 y) (+.f64 3/2 (sqrt.f64 5/4))))
(log1p.f64 (expm1.f64 (fma.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) -1/2) (/.f64 (cos.f64 y) (+.f64 3/2 (sqrt.f64 5/4))))))
(fma.f64 (cos.f64 x) (+.f64 -1/2 (sqrt.f64 5/4)) (/.f64 (cos.f64 y) (+.f64 3/2 (sqrt.f64 5/4))))
(fma.f64 (-.f64 3/2 (sqrt.f64 5/4)) (cos.f64 y) (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) -1/2)))
(fma.f64 (-.f64 3/2 (sqrt.f64 5/4)) (cos.f64 y) (*.f64 (cos.f64 x) (+.f64 -1/2 (sqrt.f64 5/4))))
(fma.f64 (cos.f64 y) (-.f64 3/2 (sqrt.f64 5/4)) (*.f64 (cos.f64 x) (+.f64 -1/2 (sqrt.f64 5/4))))
(fma.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) -1/2) (/.f64 (cos.f64 y) (+.f64 3/2 (sqrt.f64 5/4))))
(fma.f64 (cos.f64 x) (+.f64 -1/2 (sqrt.f64 5/4)) (/.f64 (cos.f64 y) (+.f64 3/2 (sqrt.f64 5/4))))
(fma.f64 (+.f64 (sqrt.f64 5/4) -1/2) (cos.f64 x) (/.f64 (cos.f64 y) (+.f64 3/2 (sqrt.f64 5/4))))
(fma.f64 (cos.f64 x) (+.f64 -1/2 (sqrt.f64 5/4)) (/.f64 (cos.f64 y) (+.f64 3/2 (sqrt.f64 5/4))))
(fma.f64 (cos.f64 y) (-.f64 3/2 (sqrt.f64 5/4)) (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) -1/2)))
(fma.f64 (-.f64 3/2 (sqrt.f64 5/4)) (cos.f64 y) (*.f64 (cos.f64 x) (+.f64 -1/2 (sqrt.f64 5/4))))
(fma.f64 (cos.f64 y) (-.f64 3/2 (sqrt.f64 5/4)) (*.f64 (cos.f64 x) (+.f64 -1/2 (sqrt.f64 5/4))))
(fma.f64 1 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) -1/2)) (/.f64 (cos.f64 y) (+.f64 3/2 (sqrt.f64 5/4))))
(fma.f64 (cos.f64 x) (+.f64 -1/2 (sqrt.f64 5/4)) (/.f64 (cos.f64 y) (+.f64 3/2 (sqrt.f64 5/4))))
(fma.f64 1 (/.f64 (cos.f64 y) (+.f64 3/2 (sqrt.f64 5/4))) (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) -1/2)))
(fma.f64 (cos.f64 x) (+.f64 -1/2 (sqrt.f64 5/4)) (/.f64 (cos.f64 y) (+.f64 3/2 (sqrt.f64 5/4))))
(fma.f64 (sqrt.f64 (/.f64 (cos.f64 y) (+.f64 3/2 (sqrt.f64 5/4)))) (sqrt.f64 (/.f64 (cos.f64 y) (+.f64 3/2 (sqrt.f64 5/4)))) (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) -1/2)))
(fma.f64 (cos.f64 x) (+.f64 -1/2 (sqrt.f64 5/4)) (/.f64 (cos.f64 y) (+.f64 3/2 (sqrt.f64 5/4))))
(fma.f64 (sqrt.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) -1/2))) (sqrt.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) -1/2))) (/.f64 (cos.f64 y) (+.f64 3/2 (sqrt.f64 5/4))))
(fma.f64 (cos.f64 x) (+.f64 -1/2 (sqrt.f64 5/4)) (/.f64 (cos.f64 y) (+.f64 3/2 (sqrt.f64 5/4))))
(fma.f64 (cbrt.f64 (pow.f64 (/.f64 (cos.f64 y) (+.f64 3/2 (sqrt.f64 5/4))) 2)) (cbrt.f64 (/.f64 (cos.f64 y) (+.f64 3/2 (sqrt.f64 5/4)))) (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) -1/2)))
(fma.f64 (cbrt.f64 (pow.f64 (/.f64 (cos.f64 y) (+.f64 3/2 (sqrt.f64 5/4))) 2)) (cbrt.f64 (/.f64 (cos.f64 y) (+.f64 3/2 (sqrt.f64 5/4)))) (*.f64 (cos.f64 x) (+.f64 -1/2 (sqrt.f64 5/4))))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) -1/2))) 2) (cbrt.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) -1/2))) (/.f64 (cos.f64 y) (+.f64 3/2 (sqrt.f64 5/4))))
(fma.f64 (cos.f64 x) (+.f64 -1/2 (sqrt.f64 5/4)) (/.f64 (cos.f64 y) (+.f64 3/2 (sqrt.f64 5/4))))

localize154.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(*.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))
	0.5b	(*.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)))
	1.0b	(-.f64 3 (sqrt.f64 5))
	1.4b	(-.f64 (cos.f64 x) (cos.f64 y))

Compiler

Compiled 269 to 178 computations (33.8% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite66.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1226×	`associate-*r/`
998×	`associate-*l/`
980×	`*-commutative`
568×	`swap-sqr`
336×	`distribute-lft-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	27
1	254	27
2	2991	27

Stop Event

1×	node limit

Counts

1 → 87

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 x) (*.f64 (sqrt.f64 5) 1/2)) (*.f64 (cos.f64 x) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (sqrt.f64 5) 1/2) (cos.f64 x)) (*.f64 -1/2 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 (+.f64 (sqrt.f64 5) -1) (cos.f64 x)) 1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 2 (*.f64 (+.f64 (sqrt.f64 5) -1) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (/.f64 2 (cos.f64 x)) (*.f64 1/4 (+.f64 (sqrt.f64 5) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (sqrt.f64 5) -1) (/.f64 2 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cos.f64 x) (+.f64 1/2 (*.f64 (sqrt.f64 5) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (cos.f64 x)) (/.f64 (+.f64 1/2 (*.f64 (sqrt.f64 5) 1/2)) (sqrt.f64 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 (sqrt.f64 5) -1)) (/.f64 (/.f64 2 (cos.f64 x)) (sqrt.f64 (+.f64 (sqrt.f64 5) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 (sqrt.f64 5) -1)) (/.f64 2 (*.f64 (cos.f64 x) (sqrt.f64 (+.f64 (sqrt.f64 5) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (cos.f64 x)) (/.f64 (+.f64 1/2 (*.f64 (sqrt.f64 5) 1/2)) (pow.f64 (cbrt.f64 (cos.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (/.f64 (+.f64 1/2 (*.f64 (sqrt.f64 5) 1/2)) (cbrt.f64 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (+.f64 (sqrt.f64 5) -1)) (/.f64 (/.f64 2 (cos.f64 x)) (cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 5) -1) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 5) -1) 2)) (/.f64 (/.f64 2 (cos.f64 x)) (cbrt.f64 (+.f64 (sqrt.f64 5) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 5) -1) 2)) (/.f64 2 (*.f64 (cos.f64 x) (cbrt.f64 (+.f64 (sqrt.f64 5) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 4 (/.f64 (/.f64 2 (cos.f64 x)) (*.f64 1/4 (+.f64 (sqrt.f64 5) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 4 (*.f64 (/.f64 2 (cos.f64 x)) (+.f64 (sqrt.f64 5) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (sqrt.f64 5) -1) (cos.f64 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1 (pow.f64 5 3/2)) (/.f64 (/.f64 2 (cos.f64 x)) (/.f64 1 (+.f64 (sqrt.f64 5) 6))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1 (pow.f64 5 3/2)) (*.f64 (/.f64 2 (cos.f64 x)) (+.f64 (sqrt.f64 5) 6)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1 (pow.f64 5 3/2)) (*.f64 (/.f64 2 (cos.f64 x)) (-.f64 6 (neg.f64 (sqrt.f64 5)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (sqrt.f64 5)) (/.f64 -2 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (*.f64 (+.f64 (sqrt.f64 5) -1) (cos.f64 x))) (/.f64 2 (sqrt.f64 (*.f64 (+.f64 (sqrt.f64 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(2) ((x /.f64 (*.f64 (cos.f64 x) (+.f64 -1 (pow.f64 5 3/2))) (+.f64 12 (*.f64 (sqrt.f64 5) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 x) (-.f64 1 (sqrt.f64 5))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -4 (*.f64 (/.f64 2 (cos.f64 x)) (+.f64 -1 (neg.f64 (sqrt.f64 5)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 -1 (pow.f64 5 3/2))) (*.f64 (/.f64 2 (cos.f64 x)) (+.f64 -6 (neg.f64 (sqrt.f64 5)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (cos.f64 x)) (sqrt.f64 (+.f64 (sqrt.f64 5) -1))) (/.f64 2 (*.f64 (sqrt.f64 (cos.f64 x)) (sqrt.f64 (+.f64 (sqrt.f64 5) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 5 1/4)) (/.f64 (/.f64 2 (cos.f64 x)) (-.f64 (pow.f64 5 1/4) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 x) 2) (+.f64 (sqrt.f64 5) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 x) (cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 5) -1) 2))) (/.f64 2 (cbrt.f64 (+.f64 (sqrt.f64 5) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 x) -1) (*.f64 -1/2 (+.f64 (sqrt.f64 5) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 x) (*.f64 1/2 (+.f64 -1 (pow.f64 5 3/2)))) (+.f64 (sqrt.f64 5) 6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 x) (-.f64 (pow.f64 (*.f64 (sqrt.f64 5) 1/2) 3) 1/8)) (+.f64 3/2 (*.f64 1/2 (*.f64 (sqrt.f64 5) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (*.f64 (*.f64 (+.f64 (sqrt.f64 5) -1) (cos.f64 x)) 1/2)) (sqrt.f64 (*.f64 (+.f64 (sqrt.f64 5) -1) (cos.f64 x)))) (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (*.f64 (+.f64 (sqrt.f64 5) -1) (cos.f64 x)) 1/2)) 2) (cbrt.f64 (*.f64 (+.f64 (sqrt.f64 5) -1) (cos.f64 x)))) (cbrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (cos.f64 x) (sqrt.f64 (+.f64 (*.f64 (sqrt.f64 5) 1/2) -1/2))) 1) (sqrt.f64 (+.f64 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2 (cos.f64 x)) (+.f64 (sqrt.f64 5) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (*.f64 (cos.f64 x) 1/2)) (*.f64 1/4 (+.f64 (sqrt.f64 5) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 4 (*.f64 (cos.f64 x) 1/2)) (+.f64 (sqrt.f64 5) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 -1 (pow.f64 5 3/2)) (*.f64 (cos.f64 x) 1/2)) (+.f64 (sqrt.f64 5) 6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 -1 (pow.f64 5 3/2)) (*.f64 (cos.f64 x) 1/2)) (-.f64 6 (neg.f64 (sqrt.f64 5))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -4 (*.f64 (cos.f64 x) 1/2)) (+.f64 -1 (neg.f64 (sqrt.f64 5))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (+.f64 -1 (pow.f64 5 3/2))) (*.f64 (cos.f64 x) 1/2)) (+.f64 -6 (neg.f64 (sqrt.f64 5))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 5) -1) 2)) (cos.f64 x)) (/.f64 2 (cbrt.f64 (+.f64 (sqrt.f64 5) -1))))))) (#(struct:change #<rule 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egg-rr> (2) ((x /.f64 (/.f64 (cos.f64 x) (*.f64 (cbrt.f64 (+.f64 1/2 (*.f64 (sqrt.f64 5) 1/2))) (cbrt.f64 (+.f64 1/2 (*.f64 (sqrt.f64 5) 1/2))))) (cbrt.f64 (+.f64 1/2 (*.f64 (sqrt.f64 5) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (cos.f64 x) (*.f64 1/62 (+.f64 1 (pow.f64 5 3/2)))) (+.f64 (sqrt.f64 5) 6))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 (+.f64 (sqrt.f64 5) -1) (cos.f64 x)) 1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (*.f64 (+.f64 (sqrt.f64 5) -1) (cos.f64 x)) 1/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (*.f64 (+.f64 (sqrt.f64 5) -1) (cos.f64 x)) 1/2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (*.f64 (+.f64 (sqrt.f64 5) -1) (cos.f64 x)) 1/2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (/.f64 (+.f64 (sqrt.f64 5) -1) -2) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (cos.f64 x) (/.f64 (+.f64 (sqrt.f64 5) -1) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 (+.f64 (sqrt.f64 5) -1) (cos.f64 x)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (*.f64 (+.f64 (sqrt.f64 5) -1) (cos.f64 x)) 1/2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (sqrt.f64 (exp.f64 (*.f64 (+.f64 (sqrt.f64 5) -1) (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (*.f64 (+.f64 (sqrt.f64 5) -1) (cos.f64 x)) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (*.f64 (+.f64 (sqrt.f64 5) -1) (cos.f64 x)) 1/2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (+.f64 (*.f64 (sqrt.f64 5) 1/2) -1/2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (*.f64 (+.f64 (sqrt.f64 5) -1) (cos.f64 x)) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (*.f64 (+.f64 (sqrt.f64 5) -1) (cos.f64 x)) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (*.f64 (+.f64 (sqrt.f64 5) -1) (cos.f64 x)) 1/2)))))))

simplify101.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1386×	`associate-/l*`
958×	`*-commutative`
894×	`associate-/r*`
644×	`associate-/r/`
620×	`distribute-lft-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	285	4071
1	779	3449
2	2489	3389
3	7828	3389

Stop Event

1×	node limit

Counts

99 → 154

Calls

Call 1

Inputs
(*.f64 1/2 (-.f64 (sqrt.f64 5) 1))
(+.f64 (.f64 -1/4 (.f64 (-.f64 (sqrt.f64 5) 1) (pow.f64 x 2))) (*.f64 1/2 (-.f64 (sqrt.f64 5) 1)))
(+.f64 (.f64 1/48 (.f64 (-.f64 (sqrt.f64 5) 1) (pow.f64 x 4))) (+.f64 (.f64 -1/4 (.f64 (-.f64 (sqrt.f64 5) 1) (pow.f64 x 2))) (*.f64 1/2 (-.f64 (sqrt.f64 5) 1))))
(+.f64 (.f64 1/48 (.f64 (-.f64 (sqrt.f64 5) 1) (pow.f64 x 4))) (+.f64 (.f64 -1/4 (.f64 (-.f64 (sqrt.f64 5) 1) (pow.f64 x 2))) (+.f64 (.f64 -1/1440 (.f64 (-.f64 (sqrt.f64 5) 1) (pow.f64 x 6))) (*.f64 1/2 (-.f64 (sqrt.f64 5) 1)))))
(.f64 1/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))
(.f64 1/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))
(.f64 1/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))
(.f64 1/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))
(.f64 1/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))
(.f64 1/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))
(.f64 1/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))
(.f64 1/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))
(+.f64 (.f64 (cos.f64 x) (.f64 (sqrt.f64 5) 1/2)) (*.f64 (cos.f64 x) -1/2))
(+.f64 (.f64 (.f64 (sqrt.f64 5) 1/2) (cos.f64 x)) (*.f64 -1/2 (cos.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (.f64 (.f64 (+.f64 (sqrt.f64 5) -1) (cos.f64 x)) 1/2))) 1)
(/.f64 1 (/.f64 2 (*.f64 (+.f64 (sqrt.f64 5) -1) (cos.f64 x))))
(/.f64 1 (.f64 (/.f64 2 (cos.f64 x)) (.f64 1/4 (+.f64 (sqrt.f64 5) 1))))
(/.f64 (+.f64 (sqrt.f64 5) -1) (/.f64 2 (cos.f64 x)))
(/.f64 (cos.f64 x) (+.f64 1/2 (*.f64 (sqrt.f64 5) 1/2)))
(/.f64 (sqrt.f64 (cos.f64 x)) (/.f64 (+.f64 1/2 (*.f64 (sqrt.f64 5) 1/2)) (sqrt.f64 (cos.f64 x))))
(/.f64 (sqrt.f64 (+.f64 (sqrt.f64 5) -1)) (/.f64 (/.f64 2 (cos.f64 x)) (sqrt.f64 (+.f64 (sqrt.f64 5) -1))))
(/.f64 (sqrt.f64 (+.f64 (sqrt.f64 5) -1)) (/.f64 2 (*.f64 (cos.f64 x) (sqrt.f64 (+.f64 (sqrt.f64 5) -1)))))
(/.f64 (cbrt.f64 (cos.f64 x)) (/.f64 (+.f64 1/2 (*.f64 (sqrt.f64 5) 1/2)) (pow.f64 (cbrt.f64 (cos.f64 x)) 2)))
(/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (/.f64 (+.f64 1/2 (*.f64 (sqrt.f64 5) 1/2)) (cbrt.f64 (cos.f64 x))))
(/.f64 (cbrt.f64 (+.f64 (sqrt.f64 5) -1)) (/.f64 (/.f64 2 (cos.f64 x)) (cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 5) -1) 2))))
(/.f64 (cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 5) -1) 2)) (/.f64 (/.f64 2 (cos.f64 x)) (cbrt.f64 (+.f64 (sqrt.f64 5) -1))))
(/.f64 (cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 5) -1) 2)) (/.f64 2 (*.f64 (cos.f64 x) (cbrt.f64 (+.f64 (sqrt.f64 5) -1)))))
(/.f64 4 (/.f64 (/.f64 2 (cos.f64 x)) (*.f64 1/4 (+.f64 (sqrt.f64 5) -1))))
(/.f64 4 (*.f64 (/.f64 2 (cos.f64 x)) (+.f64 (sqrt.f64 5) 1)))
(/.f64 (*.f64 (+.f64 (sqrt.f64 5) -1) (cos.f64 x)) 2)
(/.f64 (+.f64 -1 (pow.f64 5 3/2)) (/.f64 (/.f64 2 (cos.f64 x)) (/.f64 1 (+.f64 (sqrt.f64 5) 6))))
(/.f64 (+.f64 -1 (pow.f64 5 3/2)) (*.f64 (/.f64 2 (cos.f64 x)) (+.f64 (sqrt.f64 5) 6)))
(/.f64 (+.f64 -1 (pow.f64 5 3/2)) (*.f64 (/.f64 2 (cos.f64 x)) (-.f64 6 (neg.f64 (sqrt.f64 5)))))
(/.f64 (-.f64 1 (sqrt.f64 5)) (/.f64 -2 (cos.f64 x)))
(/.f64 (sqrt.f64 (.f64 (+.f64 (sqrt.f64 5) -1) (cos.f64 x))) (/.f64 2 (sqrt.f64 (.f64 (+.f64 (sqrt.f64 5) -1) (cos.f64 x)))))
(/.f64 (.f64 (cbrt.f64 (.f64 (+.f64 (sqrt.f64 5) -1) (cos.f64 x))) (cbrt.f64 (.f64 (+.f64 (sqrt.f64 5) -1) (cos.f64 x)))) (/.f64 2 (cbrt.f64 (.f64 (+.f64 (sqrt.f64 5) -1) (cos.f64 x)))))
(/.f64 (*.f64 (+.f64 (sqrt.f64 5) -1) (sqrt.f64 (cos.f64 x))) (/.f64 2 (sqrt.f64 (cos.f64 x))))
(/.f64 (*.f64 (+.f64 (sqrt.f64 5) -1) (pow.f64 (cbrt.f64 (cos.f64 x)) 2)) (/.f64 2 (cbrt.f64 (cos.f64 x))))
(/.f64 (.f64 (cos.f64 x) (sqrt.f64 (+.f64 (.f64 (sqrt.f64 5) 1/2) -1/2))) (sqrt.f64 (+.f64 1/2 (*.f64 (sqrt.f64 5) 1/2))))
(/.f64 (.f64 (cos.f64 x) (sqrt.f64 (+.f64 (sqrt.f64 5) -1))) (.f64 1 (sqrt.f64 (+.f64 (sqrt.f64 5) 1))))
(/.f64 (.f64 (cos.f64 x) 4) (+.f64 2 (.f64 (sqrt.f64 5) 2)))
(/.f64 (.f64 (cos.f64 x) (+.f64 -1 (pow.f64 5 3/2))) (+.f64 12 (.f64 (sqrt.f64 5) 2)))
(/.f64 (*.f64 (cos.f64 x) (-.f64 1 (sqrt.f64 5))) -2)
(/.f64 -4 (*.f64 (/.f64 2 (cos.f64 x)) (+.f64 -1 (neg.f64 (sqrt.f64 5)))))
(/.f64 (neg.f64 (+.f64 -1 (pow.f64 5 3/2))) (*.f64 (/.f64 2 (cos.f64 x)) (+.f64 -6 (neg.f64 (sqrt.f64 5)))))
(/.f64 (.f64 (sqrt.f64 (cos.f64 x)) (sqrt.f64 (+.f64 (sqrt.f64 5) -1))) (/.f64 2 (.f64 (sqrt.f64 (cos.f64 x)) (sqrt.f64 (+.f64 (sqrt.f64 5) -1)))))
(/.f64 (+.f64 1 (pow.f64 5 1/4)) (/.f64 (/.f64 2 (cos.f64 x)) (-.f64 (pow.f64 5 1/4) 1)))
(/.f64 (*.f64 (cos.f64 x) 2) (+.f64 (sqrt.f64 5) 1))
(/.f64 (*.f64 (cos.f64 x) (cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 5) -1) 2))) (/.f64 2 (cbrt.f64 (+.f64 (sqrt.f64 5) -1))))
(/.f64 (.f64 (cos.f64 x) -1) (.f64 -1/2 (+.f64 (sqrt.f64 5) 1)))
(/.f64 (.f64 (cos.f64 x) (.f64 1/2 (+.f64 -1 (pow.f64 5 3/2)))) (+.f64 (sqrt.f64 5) 6))
(/.f64 (.f64 (cos.f64 x) (-.f64 (pow.f64 (.f64 (sqrt.f64 5) 1/2) 3) 1/8)) (+.f64 3/2 (.f64 1/2 (.f64 (sqrt.f64 5) 1/2))))
(/.f64 (.f64 (sqrt.f64 (.f64 (.f64 (+.f64 (sqrt.f64 5) -1) (cos.f64 x)) 1/2)) (sqrt.f64 (.f64 (+.f64 (sqrt.f64 5) -1) (cos.f64 x)))) (sqrt.f64 2))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 (.f64 (+.f64 (sqrt.f64 5) -1) (cos.f64 x)) 1/2)) 2) (cbrt.f64 (.f64 (+.f64 (sqrt.f64 5) -1) (cos.f64 x)))) (cbrt.f64 2))
(/.f64 (.f64 (.f64 (cos.f64 x) (sqrt.f64 (+.f64 (.f64 (sqrt.f64 5) 1/2) -1/2))) 1) (sqrt.f64 (+.f64 1/2 (.f64 (sqrt.f64 5) 1/2))))
(/.f64 (.f64 (.f64 (cos.f64 x) (sqrt.f64 (+.f64 (*.f64 (sqrt.f64 5) 1/2) -1/2))) (sqrt.f64 (+.f64 (sqrt.f64 5) -1))) (sqrt.f64 2))
(/.f64 (.f64 (.f64 (cos.f64 x) (sqrt.f64 (+.f64 (*.f64 (sqrt.f64 5) 1/2) -1/2))) (sqrt.f64 (-.f64 1 (sqrt.f64 5)))) (sqrt.f64 -2))
(/.f64 (.f64 (.f64 (cos.f64 x) (pow.f64 (cbrt.f64 (+.f64 (.f64 (sqrt.f64 5) 1/2) -1/2)) 2)) 1) (cbrt.f64 (+.f64 1/2 (.f64 (sqrt.f64 5) 1/2))))
(/.f64 (.f64 (.f64 (cos.f64 x) (pow.f64 (cbrt.f64 (+.f64 (*.f64 (sqrt.f64 5) 1/2) -1/2)) 2)) (cbrt.f64 (+.f64 (sqrt.f64 5) -1))) (cbrt.f64 2))
(/.f64 (.f64 (.f64 (cos.f64 x) (pow.f64 (cbrt.f64 (+.f64 (*.f64 (sqrt.f64 5) 1/2) -1/2)) 2)) (cbrt.f64 (-.f64 1 (sqrt.f64 5)))) (cbrt.f64 -2))
(/.f64 (*.f64 2 (cos.f64 x)) (+.f64 (sqrt.f64 5) 1))
(/.f64 (.f64 1 (.f64 (cos.f64 x) 1/2)) (*.f64 1/4 (+.f64 (sqrt.f64 5) 1)))
(/.f64 (.f64 4 (.f64 (cos.f64 x) 1/2)) (+.f64 (sqrt.f64 5) 1))
(/.f64 (.f64 (+.f64 -1 (pow.f64 5 3/2)) (.f64 (cos.f64 x) 1/2)) (+.f64 (sqrt.f64 5) 6))
(/.f64 (.f64 (+.f64 -1 (pow.f64 5 3/2)) (.f64 (cos.f64 x) 1/2)) (-.f64 6 (neg.f64 (sqrt.f64 5))))
(/.f64 (.f64 -4 (.f64 (cos.f64 x) 1/2)) (+.f64 -1 (neg.f64 (sqrt.f64 5))))
(/.f64 (.f64 (neg.f64 (+.f64 -1 (pow.f64 5 3/2))) (.f64 (cos.f64 x) 1/2)) (+.f64 -6 (neg.f64 (sqrt.f64 5))))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 5) -1) 2)) (cos.f64 x)) (/.f64 2 (cbrt.f64 (+.f64 (sqrt.f64 5) -1))))
(/.f64 (.f64 -1 (cos.f64 x)) (.f64 -1/2 (+.f64 (sqrt.f64 5) 1)))
(/.f64 (.f64 (.f64 1/2 (+.f64 -1 (pow.f64 5 3/2))) (cos.f64 x)) (+.f64 (sqrt.f64 5) 6))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (sqrt.f64 5) 1/2) 3) 1/8) (cos.f64 x)) (+.f64 3/2 (.f64 1/2 (.f64 (sqrt.f64 5) 1/2))))
(/.f64 (.f64 (.f64 (cos.f64 x) (-.f64 1 (sqrt.f64 5))) 1) -2)
(/.f64 (.f64 (sqrt.f64 (.f64 (+.f64 (sqrt.f64 5) -1) (cos.f64 x))) (sqrt.f64 (.f64 (.f64 (+.f64 (sqrt.f64 5) -1) (cos.f64 x)) 1/2))) (sqrt.f64 2))
(/.f64 (.f64 1 (.f64 (cos.f64 x) (sqrt.f64 (+.f64 (.f64 (sqrt.f64 5) 1/2) -1/2)))) (sqrt.f64 (+.f64 1/2 (.f64 (sqrt.f64 5) 1/2))))
(/.f64 (.f64 (sqrt.f64 (+.f64 (sqrt.f64 5) -1)) (.f64 (cos.f64 x) (sqrt.f64 (+.f64 (*.f64 (sqrt.f64 5) 1/2) -1/2)))) (sqrt.f64 2))
(/.f64 (.f64 (sqrt.f64 (-.f64 1 (sqrt.f64 5))) (.f64 (cos.f64 x) (sqrt.f64 (+.f64 (*.f64 (sqrt.f64 5) 1/2) -1/2)))) (sqrt.f64 -2))
(/.f64 (.f64 (cbrt.f64 (.f64 (+.f64 (sqrt.f64 5) -1) (cos.f64 x))) (pow.f64 (cbrt.f64 (.f64 (.f64 (+.f64 (sqrt.f64 5) -1) (cos.f64 x)) 1/2)) 2)) (cbrt.f64 2))
(/.f64 (.f64 (.f64 (cos.f64 x) 4) 1/2) (+.f64 (sqrt.f64 5) 1))
(/.f64 (.f64 (.f64 (cos.f64 x) (+.f64 -1 (pow.f64 5 3/2))) 1/2) (+.f64 (sqrt.f64 5) 6))
(/.f64 (/.f64 (cos.f64 x) 1) (+.f64 1/2 (*.f64 (sqrt.f64 5) 1/2)))
(/.f64 (/.f64 (cos.f64 x) 2) (*.f64 1/4 (+.f64 (sqrt.f64 5) 1)))
(/.f64 (/.f64 (cos.f64 x) 1/2) (+.f64 (sqrt.f64 5) 1))
(/.f64 (/.f64 (cos.f64 x) (.f64 (cbrt.f64 (+.f64 1/2 (.f64 (sqrt.f64 5) 1/2))) (cbrt.f64 (+.f64 1/2 (.f64 (sqrt.f64 5) 1/2))))) (cbrt.f64 (+.f64 1/2 (.f64 (sqrt.f64 5) 1/2))))
(/.f64 (/.f64 (cos.f64 x) (*.f64 1/62 (+.f64 1 (pow.f64 5 3/2)))) (+.f64 (sqrt.f64 5) 6))
(pow.f64 (.f64 (.f64 (+.f64 (sqrt.f64 5) -1) (cos.f64 x)) 1/2) 1)
(pow.f64 (sqrt.f64 (.f64 (.f64 (+.f64 (sqrt.f64 5) -1) (cos.f64 x)) 1/2)) 2)
(pow.f64 (cbrt.f64 (.f64 (.f64 (+.f64 (sqrt.f64 5) -1) (cos.f64 x)) 1/2)) 3)
(pow.f64 (pow.f64 (.f64 (.f64 (+.f64 (sqrt.f64 5) -1) (cos.f64 x)) 1/2) 3) 1/3)
(neg.f64 (*.f64 (/.f64 (+.f64 (sqrt.f64 5) -1) -2) (cos.f64 x)))
(neg.f64 (*.f64 (cos.f64 x) (/.f64 (+.f64 (sqrt.f64 5) -1) -2)))
(neg.f64 (/.f64 (*.f64 (+.f64 (sqrt.f64 5) -1) (cos.f64 x)) -2))
(sqrt.f64 (pow.f64 (.f64 (.f64 (+.f64 (sqrt.f64 5) -1) (cos.f64 x)) 1/2) 2))
(log.f64 (sqrt.f64 (exp.f64 (*.f64 (+.f64 (sqrt.f64 5) -1) (cos.f64 x)))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (.f64 (+.f64 (sqrt.f64 5) -1) (cos.f64 x)) 1/2))))
(cbrt.f64 (pow.f64 (.f64 (.f64 (+.f64 (sqrt.f64 5) -1) (cos.f64 x)) 1/2) 3))
(cbrt.f64 (.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (+.f64 (.f64 (sqrt.f64 5) 1/2) -1/2) 3)))
(expm1.f64 (log1p.f64 (.f64 (.f64 (+.f64 (sqrt.f64 5) -1) (cos.f64 x)) 1/2)))
(exp.f64 (log.f64 (.f64 (.f64 (+.f64 (sqrt.f64 5) -1) (cos.f64 x)) 1/2)))
(log1p.f64 (expm1.f64 (.f64 (.f64 (+.f64 (sqrt.f64 5) -1) (cos.f64 x)) 1/2)))

Outputs
(*.f64 1/2 (-.f64 (sqrt.f64 5) 1))
(*.f64 1/2 (+.f64 (sqrt.f64 5) -1))
(fma.f64 1/2 (sqrt.f64 5) -1/2)
(+.f64 (.f64 -1/4 (.f64 (-.f64 (sqrt.f64 5) 1) (pow.f64 x 2))) (*.f64 1/2 (-.f64 (sqrt.f64 5) 1)))
(fma.f64 -1/4 (.f64 (.f64 x x) (+.f64 (sqrt.f64 5) -1)) (*.f64 1/2 (+.f64 (sqrt.f64 5) -1)))
(fma.f64 (+.f64 1/4 (.f64 -1/4 (sqrt.f64 5))) (.f64 x x) (fma.f64 1/2 (sqrt.f64 5) -1/2))
(.f64 (+.f64 (sqrt.f64 5) -1) (+.f64 1/2 (.f64 -1/4 (*.f64 x x))))
(+.f64 (.f64 1/48 (.f64 (-.f64 (sqrt.f64 5) 1) (pow.f64 x 4))) (+.f64 (.f64 -1/4 (.f64 (-.f64 (sqrt.f64 5) 1) (pow.f64 x 2))) (*.f64 1/2 (-.f64 (sqrt.f64 5) 1))))
(fma.f64 1/48 (.f64 (pow.f64 x 4) (+.f64 (sqrt.f64 5) -1)) (fma.f64 -1/4 (.f64 (.f64 x x) (+.f64 (sqrt.f64 5) -1)) (.f64 1/2 (+.f64 (sqrt.f64 5) -1))))
(fma.f64 1/48 (.f64 (pow.f64 x 4) (+.f64 (sqrt.f64 5) -1)) (fma.f64 (+.f64 1/4 (.f64 -1/4 (sqrt.f64 5))) (*.f64 x x) (fma.f64 1/2 (sqrt.f64 5) -1/2)))
(fma.f64 (.f64 x x) (fma.f64 (sqrt.f64 5) -1/4 1/4) (.f64 (+.f64 (sqrt.f64 5) -1) (+.f64 1/2 (*.f64 1/48 (pow.f64 x 4)))))
(+.f64 (.f64 1/48 (.f64 (-.f64 (sqrt.f64 5) 1) (pow.f64 x 4))) (+.f64 (.f64 -1/4 (.f64 (-.f64 (sqrt.f64 5) 1) (pow.f64 x 2))) (+.f64 (.f64 -1/1440 (.f64 (-.f64 (sqrt.f64 5) 1) (pow.f64 x 6))) (*.f64 1/2 (-.f64 (sqrt.f64 5) 1)))))
(fma.f64 1/48 (.f64 (pow.f64 x 4) (+.f64 (sqrt.f64 5) -1)) (fma.f64 -1/4 (.f64 (.f64 x x) (+.f64 (sqrt.f64 5) -1)) (fma.f64 -1/1440 (.f64 (pow.f64 x 6) (+.f64 (sqrt.f64 5) -1)) (*.f64 1/2 (+.f64 (sqrt.f64 5) -1)))))
(fma.f64 1/48 (.f64 (pow.f64 x 4) (+.f64 (sqrt.f64 5) -1)) (fma.f64 (+.f64 1/4 (.f64 -1/4 (sqrt.f64 5))) (.f64 x x) (fma.f64 (+.f64 1/1440 (.f64 (sqrt.f64 5) -1/1440)) (pow.f64 x 6) (fma.f64 1/2 (sqrt.f64 5) -1/2))))
(+.f64 (.f64 (+.f64 (sqrt.f64 5) -1) (+.f64 1/2 (.f64 -1/1440 (pow.f64 x 6)))) (.f64 (+.f64 (sqrt.f64 5) -1) (+.f64 (.f64 -1/4 (.f64 x x)) (.f64 1/48 (pow.f64 x 4)))))
(.f64 1/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))
(.f64 1/2 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)))
(*.f64 (fma.f64 1/2 (sqrt.f64 5) -1/2) (cos.f64 x))
(.f64 1/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))
(.f64 1/2 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)))
(*.f64 (fma.f64 1/2 (sqrt.f64 5) -1/2) (cos.f64 x))
(.f64 1/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))
(.f64 1/2 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)))
(*.f64 (fma.f64 1/2 (sqrt.f64 5) -1/2) (cos.f64 x))
(.f64 1/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))
(.f64 1/2 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)))
(*.f64 (fma.f64 1/2 (sqrt.f64 5) -1/2) (cos.f64 x))
(.f64 1/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))
(.f64 1/2 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)))
(*.f64 (fma.f64 1/2 (sqrt.f64 5) -1/2) (cos.f64 x))
(.f64 1/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))
(.f64 1/2 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)))
(*.f64 (fma.f64 1/2 (sqrt.f64 5) -1/2) (cos.f64 x))
(.f64 1/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))
(.f64 1/2 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)))
(*.f64 (fma.f64 1/2 (sqrt.f64 5) -1/2) (cos.f64 x))
(.f64 1/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))
(.f64 1/2 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)))
(*.f64 (fma.f64 1/2 (sqrt.f64 5) -1/2) (cos.f64 x))
(+.f64 (.f64 (cos.f64 x) (.f64 (sqrt.f64 5) 1/2)) (*.f64 (cos.f64 x) -1/2))
(.f64 1/2 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)))
(*.f64 (fma.f64 1/2 (sqrt.f64 5) -1/2) (cos.f64 x))
(+.f64 (.f64 (.f64 (sqrt.f64 5) 1/2) (cos.f64 x)) (*.f64 -1/2 (cos.f64 x)))
(.f64 1/2 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)))
(*.f64 (fma.f64 1/2 (sqrt.f64 5) -1/2) (cos.f64 x))
(-.f64 (exp.f64 (log1p.f64 (.f64 (.f64 (+.f64 (sqrt.f64 5) -1) (cos.f64 x)) 1/2))) 1)
(.f64 1/2 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)))
(*.f64 (fma.f64 1/2 (sqrt.f64 5) -1/2) (cos.f64 x))
(/.f64 1 (/.f64 2 (*.f64 (+.f64 (sqrt.f64 5) -1) (cos.f64 x))))
(.f64 1/2 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)))
(*.f64 (fma.f64 1/2 (sqrt.f64 5) -1/2) (cos.f64 x))
(/.f64 1 (.f64 (/.f64 2 (cos.f64 x)) (.f64 1/4 (+.f64 (sqrt.f64 5) 1))))
(/.f64 1 (.f64 (/.f64 2 (cos.f64 x)) (+.f64 (.f64 1/4 (sqrt.f64 5)) 1/4)))
(/.f64 (cos.f64 x) (fma.f64 1/2 (sqrt.f64 5) 1/2))
(/.f64 (+.f64 (sqrt.f64 5) -1) (/.f64 2 (cos.f64 x)))
(.f64 1/2 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)))
(*.f64 (fma.f64 1/2 (sqrt.f64 5) -1/2) (cos.f64 x))
(/.f64 (cos.f64 x) (+.f64 1/2 (*.f64 (sqrt.f64 5) 1/2)))
(/.f64 1 (.f64 (/.f64 2 (cos.f64 x)) (+.f64 (.f64 1/4 (sqrt.f64 5)) 1/4)))
(/.f64 (cos.f64 x) (fma.f64 1/2 (sqrt.f64 5) 1/2))
(/.f64 (sqrt.f64 (cos.f64 x)) (/.f64 (+.f64 1/2 (*.f64 (sqrt.f64 5) 1/2)) (sqrt.f64 (cos.f64 x))))
(/.f64 1 (.f64 (/.f64 2 (cos.f64 x)) (+.f64 (.f64 1/4 (sqrt.f64 5)) 1/4)))
(/.f64 (cos.f64 x) (fma.f64 1/2 (sqrt.f64 5) 1/2))
(/.f64 (sqrt.f64 (+.f64 (sqrt.f64 5) -1)) (/.f64 (/.f64 2 (cos.f64 x)) (sqrt.f64 (+.f64 (sqrt.f64 5) -1))))
(.f64 1/2 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)))
(*.f64 (fma.f64 1/2 (sqrt.f64 5) -1/2) (cos.f64 x))
(/.f64 (sqrt.f64 (+.f64 (sqrt.f64 5) -1)) (/.f64 2 (*.f64 (cos.f64 x) (sqrt.f64 (+.f64 (sqrt.f64 5) -1)))))
(.f64 1/2 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)))
(*.f64 (fma.f64 1/2 (sqrt.f64 5) -1/2) (cos.f64 x))
(/.f64 (cbrt.f64 (cos.f64 x)) (/.f64 (+.f64 1/2 (*.f64 (sqrt.f64 5) 1/2)) (pow.f64 (cbrt.f64 (cos.f64 x)) 2)))
(/.f64 1 (.f64 (/.f64 2 (cos.f64 x)) (+.f64 (.f64 1/4 (sqrt.f64 5)) 1/4)))
(/.f64 (cos.f64 x) (fma.f64 1/2 (sqrt.f64 5) 1/2))
(/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (/.f64 (+.f64 1/2 (*.f64 (sqrt.f64 5) 1/2)) (cbrt.f64 (cos.f64 x))))
(/.f64 1 (.f64 (/.f64 2 (cos.f64 x)) (+.f64 (.f64 1/4 (sqrt.f64 5)) 1/4)))
(/.f64 (cos.f64 x) (fma.f64 1/2 (sqrt.f64 5) 1/2))
(/.f64 (cbrt.f64 (+.f64 (sqrt.f64 5) -1)) (/.f64 (/.f64 2 (cos.f64 x)) (cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 5) -1) 2))))
(*.f64 (/.f64 (cbrt.f64 (+.f64 (sqrt.f64 5) -1)) (/.f64 2 (cos.f64 x))) (cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 5) -1) 2)))
(.f64 (cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 5) -1) 2)) (.f64 (/.f64 (cbrt.f64 (+.f64 (sqrt.f64 5) -1)) 2) (cos.f64 x)))
(*.f64 (cos.f64 x) (/.f64 (cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 5) -1) 2)) (/.f64 2 (cbrt.f64 (+.f64 (sqrt.f64 5) -1)))))
(/.f64 (cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 5) -1) 2)) (/.f64 (/.f64 2 (cos.f64 x)) (cbrt.f64 (+.f64 (sqrt.f64 5) -1))))
(*.f64 (/.f64 (cbrt.f64 (+.f64 (sqrt.f64 5) -1)) (/.f64 2 (cos.f64 x))) (cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 5) -1) 2)))
(.f64 (cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 5) -1) 2)) (.f64 (/.f64 (cbrt.f64 (+.f64 (sqrt.f64 5) -1)) 2) (cos.f64 x)))
(*.f64 (cos.f64 x) (/.f64 (cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 5) -1) 2)) (/.f64 2 (cbrt.f64 (+.f64 (sqrt.f64 5) -1)))))
(/.f64 (cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 5) -1) 2)) (/.f64 2 (*.f64 (cos.f64 x) (cbrt.f64 (+.f64 (sqrt.f64 5) -1)))))
(*.f64 (/.f64 (cbrt.f64 (+.f64 (sqrt.f64 5) -1)) (/.f64 2 (cos.f64 x))) (cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 5) -1) 2)))
(.f64 (cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 5) -1) 2)) (.f64 (/.f64 (cbrt.f64 (+.f64 (sqrt.f64 5) -1)) 2) (cos.f64 x)))
(*.f64 (cos.f64 x) (/.f64 (cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 5) -1) 2)) (/.f64 2 (cbrt.f64 (+.f64 (sqrt.f64 5) -1)))))
(/.f64 4 (/.f64 (/.f64 2 (cos.f64 x)) (*.f64 1/4 (+.f64 (sqrt.f64 5) -1))))
(.f64 1/2 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)))
(*.f64 (fma.f64 1/2 (sqrt.f64 5) -1/2) (cos.f64 x))
(/.f64 4 (*.f64 (/.f64 2 (cos.f64 x)) (+.f64 (sqrt.f64 5) 1)))
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(*.f64 (/.f64 (+.f64 -1 (pow.f64 5 3/2)) (fma.f64 (sqrt.f64 5) 2 12)) (cos.f64 x))
(*.f64 (cos.f64 x) (/.f64 (+.f64 -1 (pow.f64 5 3/2)) (fma.f64 (sqrt.f64 5) 2 12)))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (sqrt.f64 5) 1/2) 3) 1/8) (cos.f64 x)) (+.f64 3/2 (.f64 1/2 (.f64 (sqrt.f64 5) 1/2))))
(/.f64 (+.f64 (.f64 (pow.f64 (sqrt.f64 5) 3) 1/8) -1/8) (/.f64 (+.f64 3/2 (.f64 1/2 (*.f64 1/2 (sqrt.f64 5)))) (cos.f64 x)))
(.f64 (/.f64 (cos.f64 x) (+.f64 3/2 (.f64 (sqrt.f64 5) 1/4))) (fma.f64 (pow.f64 (sqrt.f64 5) 3) 1/8 -1/8))
(*.f64 (cos.f64 x) (/.f64 (fma.f64 (sqrt.f64 5) 5/8 -1/8) (fma.f64 (sqrt.f64 5) 1/4 3/2)))
(/.f64 (.f64 (.f64 (cos.f64 x) (-.f64 1 (sqrt.f64 5))) 1) -2)
(.f64 1/2 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)))
(*.f64 (fma.f64 1/2 (sqrt.f64 5) -1/2) (cos.f64 x))
(/.f64 (.f64 (sqrt.f64 (.f64 (+.f64 (sqrt.f64 5) -1) (cos.f64 x))) (sqrt.f64 (.f64 (.f64 (+.f64 (sqrt.f64 5) -1) (cos.f64 x)) 1/2))) (sqrt.f64 2))
(/.f64 (sqrt.f64 (.f64 1/2 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)))) (/.f64 (sqrt.f64 2) (sqrt.f64 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)))))
(.f64 (/.f64 (sqrt.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1))) (sqrt.f64 2)) (sqrt.f64 (*.f64 (fma.f64 1/2 (sqrt.f64 5) -1/2) (cos.f64 x))))
(.f64 (sqrt.f64 (.f64 (fma.f64 1/2 (sqrt.f64 5) -1/2) (cos.f64 x))) (/.f64 (sqrt.f64 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1))) (sqrt.f64 2)))
(/.f64 (.f64 1 (.f64 (cos.f64 x) (sqrt.f64 (+.f64 (.f64 (sqrt.f64 5) 1/2) -1/2)))) (sqrt.f64 (+.f64 1/2 (.f64 (sqrt.f64 5) 1/2))))
(/.f64 (.f64 (cos.f64 x) (sqrt.f64 (fma.f64 (sqrt.f64 5) 1/2 -1/2))) (sqrt.f64 (+.f64 1/2 (.f64 1/2 (sqrt.f64 5)))))
(*.f64 (/.f64 (cos.f64 x) (sqrt.f64 (fma.f64 1/2 (sqrt.f64 5) 1/2))) (sqrt.f64 (fma.f64 1/2 (sqrt.f64 5) -1/2)))
(*.f64 (sqrt.f64 (fma.f64 1/2 (sqrt.f64 5) -1/2)) (/.f64 (cos.f64 x) (sqrt.f64 (fma.f64 1/2 (sqrt.f64 5) 1/2))))
(/.f64 (.f64 (sqrt.f64 (+.f64 (sqrt.f64 5) -1)) (.f64 (cos.f64 x) (sqrt.f64 (+.f64 (*.f64 (sqrt.f64 5) 1/2) -1/2)))) (sqrt.f64 2))
(/.f64 (sqrt.f64 (+.f64 (sqrt.f64 5) -1)) (/.f64 (sqrt.f64 2) (*.f64 (cos.f64 x) (sqrt.f64 (fma.f64 (sqrt.f64 5) 1/2 -1/2)))))
(.f64 (/.f64 (sqrt.f64 (+.f64 (sqrt.f64 5) -1)) (sqrt.f64 2)) (.f64 (cos.f64 x) (sqrt.f64 (fma.f64 1/2 (sqrt.f64 5) -1/2))))
(*.f64 (sqrt.f64 (+.f64 (sqrt.f64 5) -1)) (/.f64 (sqrt.f64 (fma.f64 1/2 (sqrt.f64 5) -1/2)) (/.f64 (sqrt.f64 2) (cos.f64 x))))
(/.f64 (.f64 (sqrt.f64 (-.f64 1 (sqrt.f64 5))) (.f64 (cos.f64 x) (sqrt.f64 (+.f64 (*.f64 (sqrt.f64 5) 1/2) -1/2)))) (sqrt.f64 -2))
(/.f64 (*.f64 (cos.f64 x) (sqrt.f64 (fma.f64 (sqrt.f64 5) 1/2 -1/2))) (/.f64 (sqrt.f64 -2) (sqrt.f64 (-.f64 1 (sqrt.f64 5)))))
(.f64 (/.f64 (sqrt.f64 (-.f64 1 (sqrt.f64 5))) (sqrt.f64 -2)) (.f64 (cos.f64 x) (sqrt.f64 (fma.f64 1/2 (sqrt.f64 5) -1/2))))
(.f64 (.f64 (cos.f64 x) (sqrt.f64 (fma.f64 1/2 (sqrt.f64 5) -1/2))) (/.f64 (sqrt.f64 (-.f64 1 (sqrt.f64 5))) (sqrt.f64 -2)))
(/.f64 (.f64 (cbrt.f64 (.f64 (+.f64 (sqrt.f64 5) -1) (cos.f64 x))) (pow.f64 (cbrt.f64 (.f64 (.f64 (+.f64 (sqrt.f64 5) -1) (cos.f64 x)) 1/2)) 2)) (cbrt.f64 2))
(/.f64 (pow.f64 (cbrt.f64 (.f64 1/2 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)))) 2) (/.f64 (cbrt.f64 2) (cbrt.f64 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)))))
(.f64 (/.f64 (cbrt.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1))) (cbrt.f64 2)) (pow.f64 (cbrt.f64 (*.f64 (fma.f64 1/2 (sqrt.f64 5) -1/2) (cos.f64 x))) 2))
(.f64 (cbrt.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1))) (/.f64 (pow.f64 (cbrt.f64 (*.f64 (fma.f64 1/2 (sqrt.f64 5) -1/2) (cos.f64 x))) 2) (cbrt.f64 2)))
(/.f64 (.f64 (.f64 (cos.f64 x) 4) 1/2) (+.f64 (sqrt.f64 5) 1))
(/.f64 1 (.f64 (/.f64 2 (cos.f64 x)) (+.f64 (.f64 1/4 (sqrt.f64 5)) 1/4)))
(/.f64 (cos.f64 x) (fma.f64 1/2 (sqrt.f64 5) 1/2))
(/.f64 (.f64 (.f64 (cos.f64 x) (+.f64 -1 (pow.f64 5 3/2))) 1/2) (+.f64 (sqrt.f64 5) 6))
(/.f64 (+.f64 -1 (pow.f64 5 3/2)) (/.f64 (/.f64 2 (cos.f64 x)) (/.f64 1 (+.f64 (sqrt.f64 5) 6))))
(*.f64 (/.f64 (+.f64 -1 (pow.f64 5 3/2)) (fma.f64 (sqrt.f64 5) 2 12)) (cos.f64 x))
(*.f64 (cos.f64 x) (/.f64 (+.f64 -1 (pow.f64 5 3/2)) (fma.f64 (sqrt.f64 5) 2 12)))
(/.f64 (/.f64 (cos.f64 x) 1) (+.f64 1/2 (*.f64 (sqrt.f64 5) 1/2)))
(/.f64 1 (.f64 (/.f64 2 (cos.f64 x)) (+.f64 (.f64 1/4 (sqrt.f64 5)) 1/4)))
(/.f64 (cos.f64 x) (fma.f64 1/2 (sqrt.f64 5) 1/2))
(/.f64 (/.f64 (cos.f64 x) 2) (*.f64 1/4 (+.f64 (sqrt.f64 5) 1)))
(/.f64 1 (.f64 (/.f64 2 (cos.f64 x)) (+.f64 (.f64 1/4 (sqrt.f64 5)) 1/4)))
(/.f64 (cos.f64 x) (fma.f64 1/2 (sqrt.f64 5) 1/2))
(/.f64 (/.f64 (cos.f64 x) 1/2) (+.f64 (sqrt.f64 5) 1))
(/.f64 1 (.f64 (/.f64 2 (cos.f64 x)) (+.f64 (.f64 1/4 (sqrt.f64 5)) 1/4)))
(/.f64 (cos.f64 x) (fma.f64 1/2 (sqrt.f64 5) 1/2))
(/.f64 (/.f64 (cos.f64 x) (.f64 (cbrt.f64 (+.f64 1/2 (.f64 (sqrt.f64 5) 1/2))) (cbrt.f64 (+.f64 1/2 (.f64 (sqrt.f64 5) 1/2))))) (cbrt.f64 (+.f64 1/2 (.f64 (sqrt.f64 5) 1/2))))
(/.f64 1 (.f64 (/.f64 2 (cos.f64 x)) (+.f64 (.f64 1/4 (sqrt.f64 5)) 1/4)))
(/.f64 (cos.f64 x) (fma.f64 1/2 (sqrt.f64 5) 1/2))
(/.f64 (/.f64 (cos.f64 x) (*.f64 1/62 (+.f64 1 (pow.f64 5 3/2)))) (+.f64 (sqrt.f64 5) 6))
(/.f64 (cos.f64 x) (.f64 (+.f64 (sqrt.f64 5) 6) (+.f64 1/62 (.f64 1/62 (pow.f64 5 3/2)))))
(/.f64 (cos.f64 x) (.f64 (+.f64 (sqrt.f64 5) 6) (+.f64 1/62 (.f64 (pow.f64 5 3/2) 1/62))))
(/.f64 (cos.f64 x) (*.f64 (+.f64 (sqrt.f64 5) 6) (fma.f64 (pow.f64 5 3/2) 1/62 1/62)))
(pow.f64 (.f64 (.f64 (+.f64 (sqrt.f64 5) -1) (cos.f64 x)) 1/2) 1)
(.f64 1/2 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)))
(*.f64 (fma.f64 1/2 (sqrt.f64 5) -1/2) (cos.f64 x))
(pow.f64 (sqrt.f64 (.f64 (.f64 (+.f64 (sqrt.f64 5) -1) (cos.f64 x)) 1/2)) 2)
(.f64 1/2 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)))
(*.f64 (fma.f64 1/2 (sqrt.f64 5) -1/2) (cos.f64 x))
(pow.f64 (cbrt.f64 (.f64 (.f64 (+.f64 (sqrt.f64 5) -1) (cos.f64 x)) 1/2)) 3)
(.f64 1/2 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)))
(*.f64 (fma.f64 1/2 (sqrt.f64 5) -1/2) (cos.f64 x))
(pow.f64 (pow.f64 (.f64 (.f64 (+.f64 (sqrt.f64 5) -1) (cos.f64 x)) 1/2) 3) 1/3)
(.f64 1/2 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)))
(*.f64 (fma.f64 1/2 (sqrt.f64 5) -1/2) (cos.f64 x))
(neg.f64 (*.f64 (/.f64 (+.f64 (sqrt.f64 5) -1) -2) (cos.f64 x)))
(.f64 1/2 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)))
(*.f64 (fma.f64 1/2 (sqrt.f64 5) -1/2) (cos.f64 x))
(neg.f64 (*.f64 (cos.f64 x) (/.f64 (+.f64 (sqrt.f64 5) -1) -2)))
(.f64 1/2 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)))
(*.f64 (fma.f64 1/2 (sqrt.f64 5) -1/2) (cos.f64 x))
(neg.f64 (/.f64 (*.f64 (+.f64 (sqrt.f64 5) -1) (cos.f64 x)) -2))
(.f64 1/2 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)))
(*.f64 (fma.f64 1/2 (sqrt.f64 5) -1/2) (cos.f64 x))
(sqrt.f64 (pow.f64 (.f64 (.f64 (+.f64 (sqrt.f64 5) -1) (cos.f64 x)) 1/2) 2))
(.f64 1/2 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)))
(*.f64 (fma.f64 1/2 (sqrt.f64 5) -1/2) (cos.f64 x))
(log.f64 (sqrt.f64 (exp.f64 (*.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))))
(log.f64 (sqrt.f64 (pow.f64 (exp.f64 (cos.f64 x)) (+.f64 (sqrt.f64 5) -1))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (.f64 (+.f64 (sqrt.f64 5) -1) (cos.f64 x)) 1/2))))
(.f64 1/2 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)))
(*.f64 (fma.f64 1/2 (sqrt.f64 5) -1/2) (cos.f64 x))
(cbrt.f64 (pow.f64 (.f64 (.f64 (+.f64 (sqrt.f64 5) -1) (cos.f64 x)) 1/2) 3))
(.f64 1/2 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)))
(*.f64 (fma.f64 1/2 (sqrt.f64 5) -1/2) (cos.f64 x))
(cbrt.f64 (.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (+.f64 (.f64 (sqrt.f64 5) 1/2) -1/2) 3)))
(.f64 1/2 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)))
(*.f64 (fma.f64 1/2 (sqrt.f64 5) -1/2) (cos.f64 x))
(expm1.f64 (log1p.f64 (.f64 (.f64 (+.f64 (sqrt.f64 5) -1) (cos.f64 x)) 1/2)))
(.f64 1/2 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)))
(*.f64 (fma.f64 1/2 (sqrt.f64 5) -1/2) (cos.f64 x))
(exp.f64 (log.f64 (.f64 (.f64 (+.f64 (sqrt.f64 5) -1) (cos.f64 x)) 1/2)))
(.f64 1/2 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)))
(*.f64 (fma.f64 1/2 (sqrt.f64 5) -1/2) (cos.f64 x))
(log1p.f64 (expm1.f64 (.f64 (.f64 (+.f64 (sqrt.f64 5) -1) (cos.f64 x)) 1/2)))
(.f64 1/2 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)))
(*.f64 (fma.f64 1/2 (sqrt.f64 5) -1/2) (cos.f64 x))

localize77.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1))
✓	0.7b	(/.f64 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) 2/3)
	1.0b	(-.f64 3 (sqrt.f64 5))
	1.4b	(-.f64 (cos.f64 x) (cos.f64 y))

Compiler

Compiled 214 to 130 computations (39.3% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite95.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1124×	`associate-*r/`
1074×	`*-commutative`
880×	`associate-*l/`
420×	`distribute-lft-in`
416×	`associate-/r*`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	48
1	263	48
2	3171	48

Stop Event

1×	node limit

Counts

2 → 102

Calls

Call 1

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

Outputs

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

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

simplify97.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1468×	`associate-/r*`
1252×	`unswap-sqr`
770×	`associate-/l/`
652×	`associate-/r/`
388×	`associate-/l*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	287	4136
1	773	4012
2	3106	3890

Stop Event

1×	node limit

Counts

126 → 163

Calls

Call 1

Inputs
(*.f64 3/2 (-.f64 (sqrt.f64 5) 1))
(+.f64 (.f64 3/2 (-.f64 (sqrt.f64 5) 1)) (.f64 -3/4 (*.f64 (-.f64 (sqrt.f64 5) 1) (pow.f64 x 2))))
(+.f64 (.f64 3/2 (-.f64 (sqrt.f64 5) 1)) (+.f64 (.f64 1/16 (.f64 (-.f64 (sqrt.f64 5) 1) (pow.f64 x 4))) (.f64 -3/4 (*.f64 (-.f64 (sqrt.f64 5) 1) (pow.f64 x 2)))))
(+.f64 (.f64 -1/480 (.f64 (-.f64 (sqrt.f64 5) 1) (pow.f64 x 6))) (+.f64 (.f64 3/2 (-.f64 (sqrt.f64 5) 1)) (+.f64 (.f64 1/16 (.f64 (-.f64 (sqrt.f64 5) 1) (pow.f64 x 4))) (.f64 -3/4 (*.f64 (-.f64 (sqrt.f64 5) 1) (pow.f64 x 2))))))
(.f64 3/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))
(.f64 3/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))
(.f64 3/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))
(.f64 3/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))
(.f64 3/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))
(.f64 3/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))
(.f64 3/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))
(.f64 3/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))
(-.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)
(*.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))
(*.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))
(*.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))
(*.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))
(*.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))
(*.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))
(*.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))
(*.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))
(+.f64 (.f64 3/2 (neg.f64 (cos.f64 x))) (.f64 3/2 (*.f64 (cos.f64 x) (sqrt.f64 5))))
(+.f64 (.f64 3/2 (.f64 (cos.f64 x) (sqrt.f64 5))) (*.f64 3/2 (neg.f64 (cos.f64 x))))
(+.f64 (.f64 (/.f64 (cos.f64 x) 2/3) (sqrt.f64 5)) (.f64 (/.f64 (cos.f64 x) 2/3) -1))
(+.f64 (.f64 (/.f64 (cos.f64 x) 2/3) -1) (.f64 (/.f64 (cos.f64 x) 2/3) (sqrt.f64 5)))
(+.f64 (.f64 (.f64 (cos.f64 x) (sqrt.f64 5)) 3/2) (*.f64 (neg.f64 (cos.f64 x)) 3/2))
(+.f64 (.f64 (neg.f64 (cos.f64 x)) 3/2) (.f64 (*.f64 (cos.f64 x) (sqrt.f64 5)) 3/2))
(+.f64 (.f64 (sqrt.f64 5) (/.f64 (cos.f64 x) 2/3)) (.f64 -1 (/.f64 (cos.f64 x) 2/3)))
(+.f64 (.f64 -1 (/.f64 (cos.f64 x) 2/3)) (.f64 (sqrt.f64 5) (/.f64 (cos.f64 x) 2/3)))
(-.f64 (exp.f64 (log1p.f64 (.f64 (cos.f64 x) (.f64 (+.f64 (sqrt.f64 5) -1) 3/2)))) 1)
(.f64 (cos.f64 x) (.f64 (+.f64 (sqrt.f64 5) -1) 3/2))
(.f64 (+.f64 (sqrt.f64 5) -1) (.f64 (cos.f64 x) 3/2))
(*.f64 (+.f64 (sqrt.f64 5) -1) (/.f64 (cos.f64 x) 2/3))
(.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) 3/2)
(.f64 (.f64 (cos.f64 x) (*.f64 (+.f64 (sqrt.f64 5) -1) 3/2)) 1)
(.f64 1 (.f64 (cos.f64 x) (*.f64 (+.f64 (sqrt.f64 5) -1) 3/2)))
(.f64 (sqrt.f64 (.f64 (cos.f64 x) (.f64 (+.f64 (sqrt.f64 5) -1) 3/2))) (sqrt.f64 (.f64 (cos.f64 x) (*.f64 (+.f64 (sqrt.f64 5) -1) 3/2))))
(.f64 (sqrt.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1))) (.f64 (sqrt.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1))) 3/2))
(.f64 (cbrt.f64 (.f64 (cos.f64 x) (.f64 (+.f64 (sqrt.f64 5) -1) 3/2))) (pow.f64 (cbrt.f64 (.f64 (cos.f64 x) (*.f64 (+.f64 (sqrt.f64 5) -1) 3/2))) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 x) (.f64 (+.f64 (sqrt.f64 5) -1) 3/2))) 2) (cbrt.f64 (.f64 (cos.f64 x) (*.f64 (+.f64 (sqrt.f64 5) -1) 3/2))))
(.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1))) 2) (.f64 (cbrt.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1))) 3/2))
(.f64 3/2 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)))
(.f64 (.f64 (cos.f64 x) (+.f64 1 (neg.f64 (sqrt.f64 5)))) -3/2)
(.f64 (.f64 (+.f64 (sqrt.f64 5) -1) 3/2) (cos.f64 x))
(.f64 (.f64 (cos.f64 x) 3/2) (+.f64 (sqrt.f64 5) -1))
(.f64 (.f64 (sqrt.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1))) 3/2) (sqrt.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1))))
(.f64 (.f64 (cbrt.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1))) 3/2) (pow.f64 (cbrt.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1))) 2))
(*.f64 (/.f64 (cos.f64 x) 2/3) (+.f64 (sqrt.f64 5) -1))
(.f64 -3/2 (.f64 (cos.f64 x) (+.f64 1 (neg.f64 (sqrt.f64 5)))))
(.f64 (/.f64 (cos.f64 x) 1) (.f64 (+.f64 (sqrt.f64 5) -1) 3/2))
(.f64 (/.f64 (sqrt.f64 (cos.f64 x)) (+.f64 (.f64 (sqrt.f64 5) 1/6) 1/6)) (sqrt.f64 (cos.f64 x)))
(*.f64 (/.f64 (cos.f64 x) -2/3) (+.f64 1 (neg.f64 (sqrt.f64 5))))
(.f64 (/.f64 (cos.f64 x) (.f64 1/3 (sqrt.f64 (+.f64 (sqrt.f64 5) 1)))) (sqrt.f64 (+.f64 (sqrt.f64 5) -1)))
(*.f64 (/.f64 (cos.f64 x) (/.f64 2/3 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 5) -1)) 2))) (cbrt.f64 (+.f64 (sqrt.f64 5) -1)))
(.f64 (/.f64 1 (/.f64 2/3 (sqrt.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1))))) (sqrt.f64 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1))))
(.f64 (/.f64 1 (/.f64 2/3 (pow.f64 (cbrt.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1))) 2))) (cbrt.f64 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1))))
(.f64 (/.f64 (sqrt.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1))) 2/3) (sqrt.f64 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (+.f64 (.f64 (sqrt.f64 5) 1/6) 1/6)) (cbrt.f64 (cos.f64 x)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1))) 2) 2/3) (cbrt.f64 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1))))
(pow.f64 (.f64 (cos.f64 x) (.f64 (+.f64 (sqrt.f64 5) -1) 3/2)) 1)
(pow.f64 (sqrt.f64 (.f64 (cos.f64 x) (.f64 (+.f64 (sqrt.f64 5) -1) 3/2))) 2)
(pow.f64 (cbrt.f64 (.f64 (cos.f64 x) (.f64 (+.f64 (sqrt.f64 5) -1) 3/2))) 3)
(pow.f64 (pow.f64 (.f64 (cos.f64 x) (.f64 (+.f64 (sqrt.f64 5) -1) 3/2)) 3) 1/3)
(pow.f64 (/.f64 2/3 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1))) -1)
(neg.f64 (/.f64 (cos.f64 x) (/.f64 -2/3 (+.f64 (sqrt.f64 5) -1))))
(sqrt.f64 (.f64 (pow.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) 2) 9/4))
(log.f64 (pow.f64 (pow.f64 (exp.f64 (+.f64 (sqrt.f64 5) -1)) (cos.f64 x)) 3/2))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (cos.f64 x) (.f64 (+.f64 (sqrt.f64 5) -1) 3/2)))))
(cbrt.f64 (pow.f64 (.f64 (cos.f64 x) (.f64 (+.f64 (sqrt.f64 5) -1) 3/2)) 3))
(expm1.f64 (log1p.f64 (.f64 (cos.f64 x) (.f64 (+.f64 (sqrt.f64 5) -1) 3/2))))
(exp.f64 (log.f64 (.f64 (cos.f64 x) (.f64 (+.f64 (sqrt.f64 5) -1) 3/2))))
(log1p.f64 (expm1.f64 (.f64 (cos.f64 x) (.f64 (+.f64 (sqrt.f64 5) -1) 3/2))))
(+.f64 (*.f64 (cos.f64 x) (sqrt.f64 5)) (neg.f64 (cos.f64 x)))
(+.f64 (neg.f64 (cos.f64 x)) (*.f64 (cos.f64 x) (sqrt.f64 5)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)))) 1)
(/.f64 (cos.f64 x) (/.f64 1 (+.f64 (sqrt.f64 5) -1)))
(/.f64 4 (/.f64 (+.f64 (sqrt.f64 5) 1) (cos.f64 x)))
(/.f64 (+.f64 -1 (pow.f64 5 3/2)) (/.f64 (+.f64 6 (sqrt.f64 5)) (cos.f64 x)))
(/.f64 (*.f64 (cos.f64 x) 4) (+.f64 (sqrt.f64 5) 1))
(/.f64 (*.f64 (cos.f64 x) (+.f64 -1 (pow.f64 5 3/2))) (+.f64 6 (sqrt.f64 5)))
(/.f64 (-.f64 (.f64 (.f64 (cos.f64 x) (sqrt.f64 5)) (.f64 (cos.f64 x) (sqrt.f64 5))) (.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x)))) (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1)))
(/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 x) (sqrt.f64 5)) 3) (pow.f64 (neg.f64 (cos.f64 x)) 3)) (+.f64 (.f64 (.f64 (cos.f64 x) (sqrt.f64 5)) (.f64 (cos.f64 x) (sqrt.f64 5))) (.f64 (neg.f64 (cos.f64 x)) (-.f64 (neg.f64 (cos.f64 x)) (.f64 (cos.f64 x) (sqrt.f64 5))))))
(/.f64 (*.f64 (cos.f64 x) -4) (-.f64 -1 (sqrt.f64 5)))
(/.f64 (*.f64 (cos.f64 x) -4) (neg.f64 (+.f64 (sqrt.f64 5) 1)))
(/.f64 (*.f64 (cos.f64 x) (neg.f64 (+.f64 -1 (pow.f64 5 3/2)))) (neg.f64 (+.f64 6 (sqrt.f64 5))))
(/.f64 (.f64 1 (.f64 (cos.f64 x) 4)) (+.f64 (sqrt.f64 5) 1))
(/.f64 (.f64 1 (.f64 (cos.f64 x) (+.f64 -1 (pow.f64 5 3/2)))) (+.f64 6 (sqrt.f64 5)))
(/.f64 (.f64 1 (-.f64 (.f64 (.f64 (cos.f64 x) (sqrt.f64 5)) (.f64 (cos.f64 x) (sqrt.f64 5))) (.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x))))) (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1)))
(/.f64 (.f64 1 (+.f64 (pow.f64 (.f64 (cos.f64 x) (sqrt.f64 5)) 3) (pow.f64 (neg.f64 (cos.f64 x)) 3))) (+.f64 (.f64 (.f64 (cos.f64 x) (sqrt.f64 5)) (.f64 (cos.f64 x) (sqrt.f64 5))) (.f64 (neg.f64 (cos.f64 x)) (-.f64 (neg.f64 (cos.f64 x)) (*.f64 (cos.f64 x) (sqrt.f64 5))))))
(/.f64 (.f64 (.f64 (cos.f64 x) (sqrt.f64 (+.f64 (sqrt.f64 5) -1))) (sqrt.f64 (+.f64 -1 (pow.f64 5 3/2)))) (sqrt.f64 (+.f64 6 (sqrt.f64 5))))
(/.f64 (.f64 (.f64 (cos.f64 x) (sqrt.f64 (+.f64 (sqrt.f64 5) -1))) 2) (sqrt.f64 (+.f64 (sqrt.f64 5) 1)))
(/.f64 (.f64 (.f64 (cos.f64 x) (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 5) -1)) 2)) (cbrt.f64 (+.f64 -1 (pow.f64 5 3/2)))) (cbrt.f64 (+.f64 6 (sqrt.f64 5))))
(/.f64 (.f64 (.f64 (cos.f64 x) (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 5) -1)) 2)) (cbrt.f64 4)) (cbrt.f64 (+.f64 (sqrt.f64 5) 1)))
(/.f64 (*.f64 -4 (cos.f64 x)) (-.f64 -1 (sqrt.f64 5)))
(/.f64 (*.f64 -4 (cos.f64 x)) (neg.f64 (+.f64 (sqrt.f64 5) 1)))
(/.f64 (*.f64 (neg.f64 (+.f64 -1 (pow.f64 5 3/2))) (cos.f64 x)) (neg.f64 (+.f64 6 (sqrt.f64 5))))
(/.f64 (.f64 (.f64 (cos.f64 x) 4) 1) (+.f64 (sqrt.f64 5) 1))
(/.f64 (.f64 (.f64 (cos.f64 x) (+.f64 -1 (pow.f64 5 3/2))) 1) (+.f64 6 (sqrt.f64 5)))
(/.f64 (.f64 (-.f64 (.f64 (.f64 (cos.f64 x) (sqrt.f64 5)) (.f64 (cos.f64 x) (sqrt.f64 5))) (.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x)))) 1) (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1)))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 (cos.f64 x) (sqrt.f64 5)) 3) (pow.f64 (neg.f64 (cos.f64 x)) 3)) 1) (+.f64 (.f64 (.f64 (cos.f64 x) (sqrt.f64 5)) (.f64 (cos.f64 x) (sqrt.f64 5))) (.f64 (neg.f64 (cos.f64 x)) (-.f64 (neg.f64 (cos.f64 x)) (*.f64 (cos.f64 x) (sqrt.f64 5))))))
(/.f64 (.f64 (sqrt.f64 (+.f64 -1 (pow.f64 5 3/2))) (.f64 (cos.f64 x) (sqrt.f64 (+.f64 (sqrt.f64 5) -1)))) (sqrt.f64 (+.f64 6 (sqrt.f64 5))))
(/.f64 (.f64 2 (.f64 (cos.f64 x) (sqrt.f64 (+.f64 (sqrt.f64 5) -1)))) (sqrt.f64 (+.f64 (sqrt.f64 5) 1)))
(/.f64 (/.f64 (*.f64 (cos.f64 x) 4) 1) (+.f64 (sqrt.f64 5) 1))
(/.f64 (/.f64 (*.f64 (cos.f64 x) 4) (sqrt.f64 (+.f64 (sqrt.f64 5) 1))) (sqrt.f64 (+.f64 (sqrt.f64 5) 1)))
(/.f64 (/.f64 (.f64 (cos.f64 x) 4) (.f64 (cbrt.f64 (+.f64 (sqrt.f64 5) 1)) (cbrt.f64 (+.f64 (sqrt.f64 5) 1)))) (cbrt.f64 (+.f64 (sqrt.f64 5) 1)))
(/.f64 (/.f64 (*.f64 (cos.f64 x) (+.f64 -1 (pow.f64 5 3/2))) 1) (+.f64 6 (sqrt.f64 5)))
(/.f64 (/.f64 (*.f64 (cos.f64 x) (+.f64 -1 (pow.f64 5 3/2))) (sqrt.f64 (+.f64 6 (sqrt.f64 5)))) (sqrt.f64 (+.f64 6 (sqrt.f64 5))))
(/.f64 (/.f64 (.f64 (cos.f64 x) (+.f64 -1 (pow.f64 5 3/2))) (.f64 (cbrt.f64 (+.f64 6 (sqrt.f64 5))) (cbrt.f64 (+.f64 6 (sqrt.f64 5))))) (cbrt.f64 (+.f64 6 (sqrt.f64 5))))
(pow.f64 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) 1)
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1))) 2)
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1))) 3)
(pow.f64 (pow.f64 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) 3) 1/3)
(neg.f64 (*.f64 (cos.f64 x) (+.f64 1 (neg.f64 (sqrt.f64 5)))))
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) 2))
(log.f64 (pow.f64 (exp.f64 (+.f64 (sqrt.f64 5) -1)) (cos.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)))))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) 3))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (+.f64 (sqrt.f64 5) -1) 3)))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1))))
(exp.f64 (log.f64 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1))))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1))))
(fma.f64 (cos.f64 x) (sqrt.f64 5) (neg.f64 (cos.f64 x)))
(fma.f64 (sqrt.f64 5) (cos.f64 x) (neg.f64 (cos.f64 x)))

Outputs
(*.f64 3/2 (-.f64 (sqrt.f64 5) 1))
(*.f64 3/2 (+.f64 (sqrt.f64 5) -1))
(+.f64 -3/2 (*.f64 3/2 (sqrt.f64 5)))
(+.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 -3/4 (.f64 x (.f64 x (+.f64 (sqrt.f64 5) -1))) (*.f64 3/2 (+.f64 (sqrt.f64 5) -1)))
(.f64 (+.f64 (sqrt.f64 5) -1) (+.f64 (.f64 (*.f64 x x) -3/4) 3/2))
(+.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)))))
(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 1/16 (.f64 (pow.f64 x 4) (+.f64 (sqrt.f64 5) -1)))))
(fma.f64 3/2 (+.f64 (sqrt.f64 5) -1) (.f64 (+.f64 (sqrt.f64 5) -1) (+.f64 (.f64 (.f64 x 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 1/16 (*.f64 (pow.f64 x 4) (+.f64 (sqrt.f64 5) -1))))))
(+.f64 (.f64 (+.f64 (sqrt.f64 5) -1) (+.f64 (.f64 (pow.f64 x 4) 1/16) 3/2)) (.f64 (+.f64 (sqrt.f64 5) -1) (+.f64 (.f64 -3/4 (.f64 x x)) (.f64 -1/480 (pow.f64 x 6)))))
(.f64 3/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))
(.f64 (cos.f64 x) (.f64 3/2 (+.f64 (sqrt.f64 5) -1)))
(.f64 (+.f64 (sqrt.f64 5) -1) (.f64 3/2 (cos.f64 x)))
(.f64 3/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))
(.f64 (cos.f64 x) (.f64 3/2 (+.f64 (sqrt.f64 5) -1)))
(.f64 (+.f64 (sqrt.f64 5) -1) (.f64 3/2 (cos.f64 x)))
(.f64 3/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))
(.f64 (cos.f64 x) (.f64 3/2 (+.f64 (sqrt.f64 5) -1)))
(.f64 (+.f64 (sqrt.f64 5) -1) (.f64 3/2 (cos.f64 x)))
(.f64 3/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))
(.f64 (cos.f64 x) (.f64 3/2 (+.f64 (sqrt.f64 5) -1)))
(.f64 (+.f64 (sqrt.f64 5) -1) (.f64 3/2 (cos.f64 x)))
(.f64 3/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))
(.f64 (cos.f64 x) (.f64 3/2 (+.f64 (sqrt.f64 5) -1)))
(.f64 (+.f64 (sqrt.f64 5) -1) (.f64 3/2 (cos.f64 x)))
(.f64 3/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))
(.f64 (cos.f64 x) (.f64 3/2 (+.f64 (sqrt.f64 5) -1)))
(.f64 (+.f64 (sqrt.f64 5) -1) (.f64 3/2 (cos.f64 x)))
(.f64 3/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))
(.f64 (cos.f64 x) (.f64 3/2 (+.f64 (sqrt.f64 5) -1)))
(.f64 (+.f64 (sqrt.f64 5) -1) (.f64 3/2 (cos.f64 x)))
(.f64 3/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))
(.f64 (cos.f64 x) (.f64 3/2 (+.f64 (sqrt.f64 5) -1)))
(.f64 (+.f64 (sqrt.f64 5) -1) (.f64 3/2 (cos.f64 x)))
(-.f64 (sqrt.f64 5) 1)
(+.f64 (sqrt.f64 5) -1)
(-.f64 (+.f64 (sqrt.f64 5) (.f64 -1/2 (.f64 (-.f64 (sqrt.f64 5) 1) (pow.f64 x 2)))) 1)
(+.f64 (sqrt.f64 5) (-.f64 (.f64 (.f64 (*.f64 x x) (+.f64 (sqrt.f64 5) -1)) -1/2) 1))
(+.f64 (sqrt.f64 5) (fma.f64 (.f64 x (.f64 x (+.f64 (sqrt.f64 5) -1))) -1/2 -1))
(.f64 (+.f64 (.f64 -1/2 (*.f64 x x)) 1) (+.f64 (sqrt.f64 5) -1))
(-.f64 (+.f64 (sqrt.f64 5) (+.f64 (.f64 -1/2 (.f64 (-.f64 (sqrt.f64 5) 1) (pow.f64 x 2))) (.f64 1/24 (.f64 (-.f64 (sqrt.f64 5) 1) (pow.f64 x 4))))) 1)
(+.f64 (sqrt.f64 5) (-.f64 (fma.f64 -1/2 (.f64 (.f64 x x) (+.f64 (sqrt.f64 5) -1)) (.f64 (.f64 (pow.f64 x 4) (+.f64 (sqrt.f64 5) -1)) 1/24)) 1))
(+.f64 (sqrt.f64 5) (+.f64 (fma.f64 (.f64 x (.f64 x (+.f64 (sqrt.f64 5) -1))) -1/2 (.f64 (pow.f64 x 4) (.f64 1/24 (+.f64 (sqrt.f64 5) -1)))) -1))
(+.f64 (.f64 (+.f64 (sqrt.f64 5) -1) (+.f64 (.f64 (.f64 x x) -1/2) (.f64 (pow.f64 x 4) 1/24))) (+.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 (sqrt.f64 5) (-.f64 (fma.f64 -1/720 (.f64 (pow.f64 x 6) (+.f64 (sqrt.f64 5) -1)) (fma.f64 -1/2 (.f64 (.f64 x x) (+.f64 (sqrt.f64 5) -1)) (.f64 (*.f64 (pow.f64 x 4) (+.f64 (sqrt.f64 5) -1)) 1/24))) 1))
(+.f64 (sqrt.f64 5) (+.f64 (fma.f64 (.f64 (pow.f64 x 6) (+.f64 (sqrt.f64 5) -1)) -1/720 (fma.f64 (.f64 x (.f64 x (+.f64 (sqrt.f64 5) -1))) -1/2 (.f64 (pow.f64 x 4) (*.f64 1/24 (+.f64 (sqrt.f64 5) -1))))) -1))
(+.f64 (.f64 (+.f64 (sqrt.f64 5) -1) (+.f64 (.f64 (pow.f64 x 6) -1/720) (.f64 (pow.f64 x 4) 1/24))) (.f64 (+.f64 (.f64 -1/2 (.f64 x x)) 1) (+.f64 (sqrt.f64 5) -1)))
(*.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))
(*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1))
(*.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))
(*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1))
(*.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))
(*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1))
(*.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))
(*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1))
(*.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))
(*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1))
(*.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))
(*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1))
(*.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))
(*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1))
(*.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))
(*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1))
(+.f64 (.f64 3/2 (neg.f64 (cos.f64 x))) (.f64 3/2 (*.f64 (cos.f64 x) (sqrt.f64 5))))
(.f64 (cos.f64 x) (.f64 3/2 (+.f64 (sqrt.f64 5) -1)))
(.f64 (+.f64 (sqrt.f64 5) -1) (.f64 3/2 (cos.f64 x)))
(+.f64 (.f64 3/2 (.f64 (cos.f64 x) (sqrt.f64 5))) (*.f64 3/2 (neg.f64 (cos.f64 x))))
(.f64 (cos.f64 x) (.f64 3/2 (+.f64 (sqrt.f64 5) -1)))
(.f64 (+.f64 (sqrt.f64 5) -1) (.f64 3/2 (cos.f64 x)))
(+.f64 (.f64 (/.f64 (cos.f64 x) 2/3) (sqrt.f64 5)) (.f64 (/.f64 (cos.f64 x) 2/3) -1))
(.f64 (cos.f64 x) (.f64 3/2 (+.f64 (sqrt.f64 5) -1)))
(.f64 (+.f64 (sqrt.f64 5) -1) (.f64 3/2 (cos.f64 x)))
(+.f64 (.f64 (/.f64 (cos.f64 x) 2/3) -1) (.f64 (/.f64 (cos.f64 x) 2/3) (sqrt.f64 5)))
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(/.f64 (-.f64 (pow.f64 (.f64 (sqrt.f64 5) (cos.f64 x)) 3) (pow.f64 (cos.f64 x) 3)) (-.f64 (.f64 (cos.f64 x) (.f64 5 (cos.f64 x))) (.f64 (cos.f64 x) (*.f64 (cos.f64 x) (-.f64 -1 (sqrt.f64 5))))))
(/.f64 (.f64 (pow.f64 (cos.f64 x) 3) (+.f64 (.f64 (sqrt.f64 5) 5) -1)) (.f64 (cos.f64 x) (+.f64 (.f64 5 (cos.f64 x)) (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1)))))
(/.f64 (.f64 (.f64 (cos.f64 x) (sqrt.f64 (+.f64 (sqrt.f64 5) -1))) (sqrt.f64 (+.f64 -1 (pow.f64 5 3/2)))) (sqrt.f64 (+.f64 6 (sqrt.f64 5))))
(/.f64 (*.f64 (cos.f64 x) (sqrt.f64 (+.f64 (sqrt.f64 5) -1))) (/.f64 (sqrt.f64 (+.f64 (sqrt.f64 5) 6)) (sqrt.f64 (+.f64 -1 (pow.f64 5 3/2)))))
(.f64 (/.f64 (.f64 (cos.f64 x) (sqrt.f64 (+.f64 (sqrt.f64 5) -1))) (sqrt.f64 (+.f64 (sqrt.f64 5) 6))) (sqrt.f64 (+.f64 -1 (pow.f64 5 3/2))))
(/.f64 (.f64 (.f64 (cos.f64 x) (sqrt.f64 (+.f64 (sqrt.f64 5) -1))) 2) (sqrt.f64 (+.f64 (sqrt.f64 5) 1)))
(/.f64 (.f64 (.f64 2 (cos.f64 x)) (sqrt.f64 (+.f64 (sqrt.f64 5) -1))) (sqrt.f64 (+.f64 (sqrt.f64 5) 1)))
(/.f64 (.f64 (sqrt.f64 (+.f64 (sqrt.f64 5) -1)) (.f64 2 (cos.f64 x))) (sqrt.f64 (+.f64 (sqrt.f64 5) 1)))
(.f64 (/.f64 (.f64 2 (cos.f64 x)) (sqrt.f64 (+.f64 (sqrt.f64 5) 1))) (sqrt.f64 (+.f64 (sqrt.f64 5) -1)))
(/.f64 (.f64 (.f64 (cos.f64 x) (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 5) -1)) 2)) (cbrt.f64 (+.f64 -1 (pow.f64 5 3/2)))) (cbrt.f64 (+.f64 6 (sqrt.f64 5))))
(/.f64 (.f64 (cos.f64 x) (.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 5) -1)) 2) (cbrt.f64 (+.f64 -1 (pow.f64 5 3/2))))) (cbrt.f64 (+.f64 (sqrt.f64 5) 6)))
(.f64 (/.f64 (.f64 (cos.f64 x) (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 5) -1)) 2)) (cbrt.f64 (+.f64 (sqrt.f64 5) 6))) (cbrt.f64 (+.f64 -1 (pow.f64 5 3/2))))
(.f64 (/.f64 (cos.f64 x) (cbrt.f64 (+.f64 (sqrt.f64 5) 6))) (.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 5) -1)) 2) (cbrt.f64 (+.f64 -1 (pow.f64 5 3/2)))))
(/.f64 (.f64 (.f64 (cos.f64 x) (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 5) -1)) 2)) (cbrt.f64 4)) (cbrt.f64 (+.f64 (sqrt.f64 5) 1)))
(/.f64 (*.f64 (cos.f64 x) (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 5) -1)) 2)) (/.f64 (cbrt.f64 (+.f64 (sqrt.f64 5) 1)) (cbrt.f64 4)))
(/.f64 (cbrt.f64 4) (/.f64 (cbrt.f64 (+.f64 (sqrt.f64 5) 1)) (*.f64 (cos.f64 x) (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 5) -1)) 2))))
(.f64 (/.f64 (cbrt.f64 4) (cbrt.f64 (+.f64 (sqrt.f64 5) 1))) (.f64 (cos.f64 x) (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 5) -1)) 2)))
(/.f64 (*.f64 -4 (cos.f64 x)) (-.f64 -1 (sqrt.f64 5)))
(*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1))
(/.f64 (*.f64 -4 (cos.f64 x)) (neg.f64 (+.f64 (sqrt.f64 5) 1)))
(*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1))
(/.f64 (*.f64 (neg.f64 (+.f64 -1 (pow.f64 5 3/2))) (cos.f64 x)) (neg.f64 (+.f64 6 (sqrt.f64 5))))
(/.f64 (+.f64 -1 (pow.f64 5 3/2)) (/.f64 (+.f64 (sqrt.f64 5) 6) (cos.f64 x)))
(*.f64 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 6)) (+.f64 -1 (pow.f64 5 3/2)))
(*.f64 (cos.f64 x) (/.f64 (+.f64 -1 (pow.f64 5 3/2)) (+.f64 (sqrt.f64 5) 6)))
(/.f64 (.f64 (.f64 (cos.f64 x) 4) 1) (+.f64 (sqrt.f64 5) 1))
(*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1))
(/.f64 (.f64 (.f64 (cos.f64 x) (+.f64 -1 (pow.f64 5 3/2))) 1) (+.f64 6 (sqrt.f64 5)))
(/.f64 (+.f64 -1 (pow.f64 5 3/2)) (/.f64 (+.f64 (sqrt.f64 5) 6) (cos.f64 x)))
(*.f64 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 6)) (+.f64 -1 (pow.f64 5 3/2)))
(*.f64 (cos.f64 x) (/.f64 (+.f64 -1 (pow.f64 5 3/2)) (+.f64 (sqrt.f64 5) 6)))
(/.f64 (.f64 (-.f64 (.f64 (.f64 (cos.f64 x) (sqrt.f64 5)) (.f64 (cos.f64 x) (sqrt.f64 5))) (.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x)))) 1) (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1)))
(*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 (cos.f64 x) (sqrt.f64 5)) 3) (pow.f64 (neg.f64 (cos.f64 x)) 3)) 1) (+.f64 (.f64 (.f64 (cos.f64 x) (sqrt.f64 5)) (.f64 (cos.f64 x) (sqrt.f64 5))) (.f64 (neg.f64 (cos.f64 x)) (-.f64 (neg.f64 (cos.f64 x)) (*.f64 (cos.f64 x) (sqrt.f64 5))))))
(/.f64 (+.f64 (pow.f64 (.f64 (sqrt.f64 5) (cos.f64 x)) 3) (pow.f64 (neg.f64 (cos.f64 x)) 3)) (fma.f64 (.f64 (sqrt.f64 5) (cos.f64 x)) (.f64 (sqrt.f64 5) (cos.f64 x)) (.f64 (neg.f64 (cos.f64 x)) (-.f64 (neg.f64 (cos.f64 x)) (*.f64 (sqrt.f64 5) (cos.f64 x))))))
(/.f64 (-.f64 (pow.f64 (.f64 (sqrt.f64 5) (cos.f64 x)) 3) (pow.f64 (cos.f64 x) 3)) (-.f64 (.f64 (cos.f64 x) (.f64 5 (cos.f64 x))) (.f64 (cos.f64 x) (*.f64 (cos.f64 x) (-.f64 -1 (sqrt.f64 5))))))
(/.f64 (.f64 (pow.f64 (cos.f64 x) 3) (+.f64 (.f64 (sqrt.f64 5) 5) -1)) (.f64 (cos.f64 x) (+.f64 (.f64 5 (cos.f64 x)) (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1)))))
(/.f64 (.f64 (sqrt.f64 (+.f64 -1 (pow.f64 5 3/2))) (.f64 (cos.f64 x) (sqrt.f64 (+.f64 (sqrt.f64 5) -1)))) (sqrt.f64 (+.f64 6 (sqrt.f64 5))))
(/.f64 (*.f64 (cos.f64 x) (sqrt.f64 (+.f64 (sqrt.f64 5) -1))) (/.f64 (sqrt.f64 (+.f64 (sqrt.f64 5) 6)) (sqrt.f64 (+.f64 -1 (pow.f64 5 3/2)))))
(.f64 (/.f64 (.f64 (cos.f64 x) (sqrt.f64 (+.f64 (sqrt.f64 5) -1))) (sqrt.f64 (+.f64 (sqrt.f64 5) 6))) (sqrt.f64 (+.f64 -1 (pow.f64 5 3/2))))
(/.f64 (.f64 2 (.f64 (cos.f64 x) (sqrt.f64 (+.f64 (sqrt.f64 5) -1)))) (sqrt.f64 (+.f64 (sqrt.f64 5) 1)))
(/.f64 (.f64 (.f64 2 (cos.f64 x)) (sqrt.f64 (+.f64 (sqrt.f64 5) -1))) (sqrt.f64 (+.f64 (sqrt.f64 5) 1)))
(/.f64 (.f64 (sqrt.f64 (+.f64 (sqrt.f64 5) -1)) (.f64 2 (cos.f64 x))) (sqrt.f64 (+.f64 (sqrt.f64 5) 1)))
(.f64 (/.f64 (.f64 2 (cos.f64 x)) (sqrt.f64 (+.f64 (sqrt.f64 5) 1))) (sqrt.f64 (+.f64 (sqrt.f64 5) -1)))
(/.f64 (/.f64 (*.f64 (cos.f64 x) 4) 1) (+.f64 (sqrt.f64 5) 1))
(*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1))
(/.f64 (/.f64 (*.f64 (cos.f64 x) 4) (sqrt.f64 (+.f64 (sqrt.f64 5) 1))) (sqrt.f64 (+.f64 (sqrt.f64 5) 1)))
(*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1))
(/.f64 (/.f64 (.f64 (cos.f64 x) 4) (.f64 (cbrt.f64 (+.f64 (sqrt.f64 5) 1)) (cbrt.f64 (+.f64 (sqrt.f64 5) 1)))) (cbrt.f64 (+.f64 (sqrt.f64 5) 1)))
(*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1))
(/.f64 (/.f64 (*.f64 (cos.f64 x) (+.f64 -1 (pow.f64 5 3/2))) 1) (+.f64 6 (sqrt.f64 5)))
(/.f64 (+.f64 -1 (pow.f64 5 3/2)) (/.f64 (+.f64 (sqrt.f64 5) 6) (cos.f64 x)))
(*.f64 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 6)) (+.f64 -1 (pow.f64 5 3/2)))
(*.f64 (cos.f64 x) (/.f64 (+.f64 -1 (pow.f64 5 3/2)) (+.f64 (sqrt.f64 5) 6)))
(/.f64 (/.f64 (*.f64 (cos.f64 x) (+.f64 -1 (pow.f64 5 3/2))) (sqrt.f64 (+.f64 6 (sqrt.f64 5)))) (sqrt.f64 (+.f64 6 (sqrt.f64 5))))
(/.f64 (+.f64 -1 (pow.f64 5 3/2)) (/.f64 (+.f64 (sqrt.f64 5) 6) (cos.f64 x)))
(*.f64 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 6)) (+.f64 -1 (pow.f64 5 3/2)))
(*.f64 (cos.f64 x) (/.f64 (+.f64 -1 (pow.f64 5 3/2)) (+.f64 (sqrt.f64 5) 6)))
(/.f64 (/.f64 (.f64 (cos.f64 x) (+.f64 -1 (pow.f64 5 3/2))) (.f64 (cbrt.f64 (+.f64 6 (sqrt.f64 5))) (cbrt.f64 (+.f64 6 (sqrt.f64 5))))) (cbrt.f64 (+.f64 6 (sqrt.f64 5))))
(/.f64 (+.f64 -1 (pow.f64 5 3/2)) (/.f64 (+.f64 (sqrt.f64 5) 6) (cos.f64 x)))
(*.f64 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 6)) (+.f64 -1 (pow.f64 5 3/2)))
(*.f64 (cos.f64 x) (/.f64 (+.f64 -1 (pow.f64 5 3/2)) (+.f64 (sqrt.f64 5) 6)))
(pow.f64 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) 1)
(*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1))
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1))) 2)
(*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1))
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1))) 3)
(*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1))
(pow.f64 (pow.f64 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) 3) 1/3)
(*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1))
(neg.f64 (*.f64 (cos.f64 x) (+.f64 1 (neg.f64 (sqrt.f64 5)))))
(*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1))
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) 2))
(fabs.f64 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)))
(log.f64 (pow.f64 (exp.f64 (+.f64 (sqrt.f64 5) -1)) (cos.f64 x)))
(*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)))))
(*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) 3))
(*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (+.f64 (sqrt.f64 5) -1) 3)))
(*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1))))
(*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1))
(exp.f64 (log.f64 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1))))
(*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1))))
(*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1))
(fma.f64 (cos.f64 x) (sqrt.f64 5) (neg.f64 (cos.f64 x)))
(*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1))
(fma.f64 (sqrt.f64 5) (cos.f64 x) (neg.f64 (cos.f64 x)))
(*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1))

localize77.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(/.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))))
	0.5b	(*.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)))
	1.0b	(-.f64 3/2 (/.f64 (sqrt.f64 5) 2))
	1.4b	(-.f64 (cos.f64 x) (cos.f64 y))

Compiler

Compiled 211 to 136 computations (35.5% saved)

series16.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
3.0ms	y	@	-inf	(/.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))))
3.0ms	y	@	0	(/.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))))
3.0ms	x	@	inf	(/.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))))
3.0ms	x	@	0	(/.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))))
2.0ms	x	@	-inf	(/.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))))

rewrite58.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

772×	`add-sqr-sqrt`
744×	`pow1`
744×	`*-un-lft-identity`
724×	`add-exp-log`
724×	`add-cbrt-cube`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	147
1	758	147

Stop Event

1×	node limit

Counts

1 → 16

Calls

Call 1

Inputs

(/.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))))

Outputs

((#(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 1/3 (fma.f64 (cos.f64 y) (+.f64 3/2 (*.f64 (sqrt.f64 5) -1/2)) (fma.f64 (cos.f64 x) (+.f64 (*.f64 (sqrt.f64 5) 1/2) -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) -1/2)) (fma.f64 (cos.f64 x) (+.f64 (*.f64 (sqrt.f64 5) 1/2) -1/2) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.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) -1/2)) (fma.f64 (cos.f64 x) (+.f64 (*.f64 (sqrt.f64 5) 1/2) -1/2) 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.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 (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 1/3 (fma.f64 (cos.f64 y) (+.f64 3/2 (*.f64 (sqrt.f64 5) -1/2)) (fma.f64 (cos.f64 x) (+.f64 (*.f64 (sqrt.f64 5) 1/2) -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) -1/2)) (fma.f64 (cos.f64 x) (+.f64 (*.f64 (sqrt.f64 5) 1/2) -1/2) 1))))) (sqrt.f64 (/.f64 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simplify131.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1422×	`fma-def`
1288×	`+-commutative`
1056×	`*-commutative`
834×	`associate-*r/`
634×	`associate-/l*`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	222	9010
1	632	7942
2	2398	7700
3	7138	7642

Stop Event

1×	node limit

Counts

40 → 61

Calls

Call 1

Inputs
(.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 1/2 (+.f64 (.f64 1/2 (sqrt.f64 5)) (.f64 (-.f64 3/2 (*.f64 1/2 (sqrt.f64 5))) (cos.f64 y))))))
(+.f64 (.f64 1/3 (.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)))))) x)) (.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 1/2 (+.f64 (.f64 1/2 (sqrt.f64 5)) (.f64 (-.f64 3/2 (.f64 1/2 (sqrt.f64 5))) (cos.f64 y)))))))
(+.f64 (.f64 1/3 (.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)))))) x)) (+.f64 (.f64 1/3 (.f64 (-.f64 (+.f64 (.f64 1/32 (/.f64 (.f64 (sqrt.f64 2) (pow.f64 (sin.f64 y) 2)) (+.f64 1/2 (+.f64 (.f64 1/2 (sqrt.f64 5)) (.f64 (-.f64 3/2 (.f64 1/2 (sqrt.f64 5))) (cos.f64 y)))))) (.f64 -1/16 (/.f64 (.f64 (sqrt.f64 2) (-.f64 1 (cos.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 -1/2 (/.f64 (.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2))))) (-.f64 (.f64 1/2 (sqrt.f64 5)) 1/2)) (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)))) 2)))) (pow.f64 x 2))) (.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 1/2 (+.f64 (.f64 1/2 (sqrt.f64 5)) (.f64 (-.f64 3/2 (*.f64 1/2 (sqrt.f64 5))) (cos.f64 y))))))))
(+.f64 (.f64 1/3 (.f64 (-.f64 (+.f64 (.f64 -1/2 (/.f64 (.f64 (sqrt.f64 2) (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 -1/16 (/.f64 (.f64 (sqrt.f64 2) (.f64 (+.f64 1/32 (.f64 1/96 (-.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 -1/6 (/.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 -1/2 (/.f64 (.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)))))) (-.f64 (.f64 1/2 (sqrt.f64 5)) 1/2)) (+.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 x 3))) (+.f64 (.f64 1/3 (.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)))))) x)) (+.f64 (.f64 1/3 (.f64 (-.f64 (+.f64 (.f64 1/32 (/.f64 (.f64 (sqrt.f64 2) (pow.f64 (sin.f64 y) 2)) (+.f64 1/2 (+.f64 (.f64 1/2 (sqrt.f64 5)) (.f64 (-.f64 3/2 (.f64 1/2 (sqrt.f64 5))) (cos.f64 y)))))) (.f64 -1/16 (/.f64 (.f64 (sqrt.f64 2) (-.f64 1 (cos.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 -1/2 (/.f64 (.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2))))) (-.f64 (.f64 1/2 (sqrt.f64 5)) 1/2)) (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)))) 2)))) (pow.f64 x 2))) (.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 1/2 (+.f64 (.f64 1/2 (sqrt.f64 5)) (.f64 (-.f64 3/2 (.f64 1/2 (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 (-.f64 3/2 (.f64 1/2 (sqrt.f64 5))) (cos.f64 y)) (.f64 (cos.f64 x) (-.f64 (.f64 1/2 (sqrt.f64 5)) 1/2))))))
(.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 (-.f64 3/2 (.f64 1/2 (sqrt.f64 5))) (cos.f64 y)) (.f64 (cos.f64 x) (-.f64 (.f64 1/2 (sqrt.f64 5)) 1/2))))))
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(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) -1/2)) (fma.f64 (cos.f64 x) (+.f64 (*.f64 (sqrt.f64 5) 1/2) -1/2) 1)))) 1)
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(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) -1/2)) (fma.f64 (cos.f64 x) (+.f64 (*.f64 (sqrt.f64 5) 1/2) -1/2) 1))))))
(cbrt.f64 (.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) -1/2)) (fma.f64 (cos.f64 x) (+.f64 (.f64 (sqrt.f64 5) 1/2) -1/2) 1)))) (.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) -1/2)) (fma.f64 (cos.f64 x) (+.f64 (.f64 (sqrt.f64 5) 1/2) -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 3 (fma.f64 (cos.f64 y) (+.f64 3/2 (.f64 (sqrt.f64 5) -1/2)) (fma.f64 (cos.f64 x) (+.f64 (*.f64 (sqrt.f64 5) 1/2) -1/2) 1)))))))
(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) -1/2)) (fma.f64 (cos.f64 x) (+.f64 (*.f64 (sqrt.f64 5) 1/2) -1/2) 1))))))
(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) -1/2)) (fma.f64 (cos.f64 x) (+.f64 (*.f64 (sqrt.f64 5) 1/2) -1/2) 1))))))
(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) -1/2)) (fma.f64 (cos.f64 x) (+.f64 (*.f64 (sqrt.f64 5) 1/2) -1/2) 1))))))

Outputs
(.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 1/2 (+.f64 (.f64 1/2 (sqrt.f64 5)) (.f64 (-.f64 3/2 (*.f64 1/2 (sqrt.f64 5))) (cos.f64 y))))))
(.f64 1/3 (/.f64 (fma.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2))) 2) (+.f64 1/2 (fma.f64 1/2 (sqrt.f64 5) (.f64 (cos.f64 y) (+.f64 3/2 (*.f64 (sqrt.f64 5) -1/2)))))))
(.f64 1/3 (/.f64 (fma.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2))) 2) (+.f64 1/2 (fma.f64 (cos.f64 y) (fma.f64 (sqrt.f64 5) -1/2 3/2) (.f64 1/2 (sqrt.f64 5))))))
(/.f64 1/3 (/.f64 (fma.f64 (cos.f64 y) (fma.f64 (sqrt.f64 5) -1/2 3/2) (fma.f64 1/2 (sqrt.f64 5) 1/2)) (fma.f64 -1/16 (.f64 (pow.f64 (sin.f64 y) 2) (.f64 (sqrt.f64 2) (-.f64 1 (cos.f64 y)))) 2)))
(+.f64 (.f64 1/3 (.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)))))) x)) (.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 1/2 (+.f64 (.f64 1/2 (sqrt.f64 5)) (.f64 (-.f64 3/2 (.f64 1/2 (sqrt.f64 5))) (cos.f64 y)))))))
(.f64 1/3 (+.f64 (.f64 (.f64 257/256 (/.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (sin.f64 y))) (+.f64 1/2 (fma.f64 1/2 (sqrt.f64 5) (.f64 (cos.f64 y) (+.f64 3/2 (.f64 (sqrt.f64 5) -1/2))))))) x) (/.f64 (fma.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2))) 2) (+.f64 1/2 (fma.f64 1/2 (sqrt.f64 5) (.f64 (cos.f64 y) (+.f64 3/2 (*.f64 (sqrt.f64 5) -1/2))))))))
(.f64 1/3 (fma.f64 (/.f64 (.f64 257/256 (.f64 (sin.f64 y) (.f64 (sqrt.f64 2) (-.f64 1 (cos.f64 y))))) (+.f64 1/2 (fma.f64 (cos.f64 y) (fma.f64 (sqrt.f64 5) -1/2 3/2) (.f64 1/2 (sqrt.f64 5))))) x (/.f64 (fma.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2))) 2) (+.f64 1/2 (fma.f64 (cos.f64 y) (fma.f64 (sqrt.f64 5) -1/2 3/2) (.f64 1/2 (sqrt.f64 5)))))))
(fma.f64 x (/.f64 (.f64 257/768 (.f64 (-.f64 1 (cos.f64 y)) (sin.f64 y))) (/.f64 (fma.f64 (cos.f64 y) (fma.f64 (sqrt.f64 5) -1/2 3/2) (fma.f64 1/2 (sqrt.f64 5) 1/2)) (sqrt.f64 2))) (/.f64 1/3 (/.f64 (fma.f64 (cos.f64 y) (fma.f64 (sqrt.f64 5) -1/2 3/2) (fma.f64 1/2 (sqrt.f64 5) 1/2)) (fma.f64 -1/16 (.f64 (pow.f64 (sin.f64 y) 2) (.f64 (sqrt.f64 2) (-.f64 1 (cos.f64 y)))) 2))))
(+.f64 (.f64 1/3 (.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)))))) x)) (+.f64 (.f64 1/3 (.f64 (-.f64 (+.f64 (.f64 1/32 (/.f64 (.f64 (sqrt.f64 2) (pow.f64 (sin.f64 y) 2)) (+.f64 1/2 (+.f64 (.f64 1/2 (sqrt.f64 5)) (.f64 (-.f64 3/2 (.f64 1/2 (sqrt.f64 5))) (cos.f64 y)))))) (.f64 -1/16 (/.f64 (.f64 (sqrt.f64 2) (-.f64 1 (cos.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 -1/2 (/.f64 (.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2))))) (-.f64 (.f64 1/2 (sqrt.f64 5)) 1/2)) (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)))) 2)))) (pow.f64 x 2))) (.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 1/2 (+.f64 (.f64 1/2 (sqrt.f64 5)) (.f64 (-.f64 3/2 (*.f64 1/2 (sqrt.f64 5))) (cos.f64 y))))))))
(fma.f64 1/3 (.f64 (.f64 257/256 (/.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (sin.f64 y))) (+.f64 1/2 (fma.f64 1/2 (sqrt.f64 5) (.f64 (cos.f64 y) (+.f64 3/2 (.f64 (sqrt.f64 5) -1/2))))))) x) (.f64 1/3 (+.f64 (.f64 (-.f64 (fma.f64 1/32 (/.f64 (.f64 (sqrt.f64 2) (pow.f64 (sin.f64 y) 2)) (+.f64 1/2 (fma.f64 1/2 (sqrt.f64 5) (.f64 (cos.f64 y) (+.f64 3/2 (.f64 (sqrt.f64 5) -1/2)))))) (.f64 -1/16 (/.f64 (sqrt.f64 2) (/.f64 (+.f64 1/2 (fma.f64 1/2 (sqrt.f64 5) (.f64 (cos.f64 y) (+.f64 3/2 (.f64 (sqrt.f64 5) -1/2))))) (-.f64 1 (cos.f64 y)))))) (.f64 -1/2 (/.f64 (fma.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2))) 2) (/.f64 (pow.f64 (+.f64 1/2 (fma.f64 1/2 (sqrt.f64 5) (.f64 (cos.f64 y) (+.f64 3/2 (.f64 (sqrt.f64 5) -1/2))))) 2) (fma.f64 1/2 (sqrt.f64 5) -1/2))))) (.f64 x x)) (/.f64 (fma.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2))) 2) (+.f64 1/2 (fma.f64 1/2 (sqrt.f64 5) (.f64 (cos.f64 y) (+.f64 3/2 (.f64 (sqrt.f64 5) -1/2)))))))))
(fma.f64 1/3 (fma.f64 (fma.f64 1/32 (.f64 (/.f64 (sqrt.f64 2) (+.f64 1/2 (fma.f64 (cos.f64 y) (fma.f64 (sqrt.f64 5) -1/2 3/2) (.f64 1/2 (sqrt.f64 5))))) (pow.f64 (sin.f64 y) 2)) (fma.f64 -1/16 (.f64 (/.f64 (sqrt.f64 2) (+.f64 1/2 (fma.f64 (cos.f64 y) (fma.f64 (sqrt.f64 5) -1/2 3/2) (.f64 1/2 (sqrt.f64 5))))) (-.f64 1 (cos.f64 y))) (/.f64 (.f64 1/2 (fma.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2))) 2)) (/.f64 (pow.f64 (+.f64 1/2 (fma.f64 (cos.f64 y) (fma.f64 (sqrt.f64 5) -1/2 3/2) (.f64 1/2 (sqrt.f64 5)))) 2) (fma.f64 1/2 (sqrt.f64 5) -1/2))))) (.f64 x x) (/.f64 (fma.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2))) 2) (+.f64 1/2 (fma.f64 (cos.f64 y) (fma.f64 (sqrt.f64 5) -1/2 3/2) (.f64 1/2 (sqrt.f64 5)))))) (.f64 x (.f64 257/768 (.f64 (/.f64 (sqrt.f64 2) (+.f64 1/2 (fma.f64 (cos.f64 y) (fma.f64 (sqrt.f64 5) -1/2 3/2) (.f64 1/2 (sqrt.f64 5))))) (*.f64 (-.f64 1 (cos.f64 y)) (sin.f64 y))))))
(.f64 1/3 (fma.f64 (/.f64 (.f64 (.f64 (sin.f64 y) (.f64 (sqrt.f64 2) (-.f64 1 (cos.f64 y)))) 257/256) (fma.f64 (cos.f64 y) (fma.f64 (sqrt.f64 5) -1/2 3/2) (fma.f64 1/2 (sqrt.f64 5) 1/2))) x (fma.f64 x (.f64 x (fma.f64 1/2 (.f64 (fma.f64 1/2 (sqrt.f64 5) -1/2) (/.f64 (fma.f64 -1/16 (.f64 (pow.f64 (sin.f64 y) 2) (.f64 (sqrt.f64 2) (-.f64 1 (cos.f64 y)))) 2) (pow.f64 (fma.f64 (cos.f64 y) (fma.f64 (sqrt.f64 5) -1/2 3/2) (fma.f64 1/2 (sqrt.f64 5) 1/2)) 2))) (fma.f64 -1/16 (.f64 (-.f64 1 (cos.f64 y)) (/.f64 (sqrt.f64 2) (fma.f64 (cos.f64 y) (fma.f64 (sqrt.f64 5) -1/2 3/2) (fma.f64 1/2 (sqrt.f64 5) 1/2)))) (.f64 (/.f64 (.f64 (sqrt.f64 2) 1/32) (fma.f64 (cos.f64 y) (fma.f64 (sqrt.f64 5) -1/2 3/2) (fma.f64 1/2 (sqrt.f64 5) 1/2))) (pow.f64 (sin.f64 y) 2))))) (/.f64 (fma.f64 -1/16 (.f64 (pow.f64 (sin.f64 y) 2) (*.f64 (sqrt.f64 2) (-.f64 1 (cos.f64 y)))) 2) (fma.f64 (cos.f64 y) (fma.f64 (sqrt.f64 5) -1/2 3/2) (fma.f64 1/2 (sqrt.f64 5) 1/2))))))
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(cbrt.f64 (.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) -1/2)) (fma.f64 (cos.f64 x) (+.f64 (.f64 (sqrt.f64 5) 1/2) -1/2) 1)))) (.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) -1/2)) (fma.f64 (cos.f64 x) (+.f64 (.f64 (sqrt.f64 5) 1/2) -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 3 (fma.f64 (cos.f64 y) (+.f64 3/2 (.f64 (sqrt.f64 5) -1/2)) (fma.f64 (cos.f64 x) (+.f64 (*.f64 (sqrt.f64 5) 1/2) -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 (cos.f64 x) (cos.f64 y)) (+.f64 (sin.f64 y) (.f64 -1/16 (sin.f64 x)))) 2) (+.f64 1 (fma.f64 (+.f64 3/2 (.f64 (sqrt.f64 5) -1/2)) (cos.f64 y) (*.f64 (fma.f64 1/2 (sqrt.f64 5) -1/2) (cos.f64 x))))))
(/.f64 (.f64 1/3 (fma.f64 (.f64 (sqrt.f64 2) (fma.f64 -1/16 (sin.f64 x) (sin.f64 y))) (*.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (fma.f64 -1/16 (sin.f64 y) (sin.f64 x))) 2)) (fma.f64 (cos.f64 y) (fma.f64 (sqrt.f64 5) -1/2 3/2) (fma.f64 (fma.f64 1/2 (sqrt.f64 5) -1/2) (cos.f64 x) 1)))
(.f64 1/3 (/.f64 (fma.f64 (fma.f64 -1/16 (sin.f64 x) (sin.f64 y)) (.f64 (sqrt.f64 2) (*.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)))) 2) (fma.f64 (cos.f64 y) (fma.f64 (sqrt.f64 5) -1/2 3/2) (fma.f64 (fma.f64 1/2 (sqrt.f64 5) -1/2) (cos.f64 x) 1))))
(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) -1/2)) (fma.f64 (cos.f64 x) (+.f64 (*.f64 (sqrt.f64 5) 1/2) -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 (cos.f64 x) (cos.f64 y)) (+.f64 (sin.f64 y) (.f64 -1/16 (sin.f64 x)))) 2) (+.f64 1 (fma.f64 (+.f64 3/2 (.f64 (sqrt.f64 5) -1/2)) (cos.f64 y) (*.f64 (fma.f64 1/2 (sqrt.f64 5) -1/2) (cos.f64 x))))))
(/.f64 (.f64 1/3 (fma.f64 (.f64 (sqrt.f64 2) (fma.f64 -1/16 (sin.f64 x) (sin.f64 y))) (*.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (fma.f64 -1/16 (sin.f64 y) (sin.f64 x))) 2)) (fma.f64 (cos.f64 y) (fma.f64 (sqrt.f64 5) -1/2 3/2) (fma.f64 (fma.f64 1/2 (sqrt.f64 5) -1/2) (cos.f64 x) 1)))
(.f64 1/3 (/.f64 (fma.f64 (fma.f64 -1/16 (sin.f64 x) (sin.f64 y)) (.f64 (sqrt.f64 2) (*.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)))) 2) (fma.f64 (cos.f64 y) (fma.f64 (sqrt.f64 5) -1/2 3/2) (fma.f64 (fma.f64 1/2 (sqrt.f64 5) -1/2) (cos.f64 x) 1))))
(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) -1/2)) (fma.f64 (cos.f64 x) (+.f64 (*.f64 (sqrt.f64 5) 1/2) -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 (cos.f64 x) (cos.f64 y)) (+.f64 (sin.f64 y) (.f64 -1/16 (sin.f64 x)))) 2) (+.f64 1 (fma.f64 (+.f64 3/2 (.f64 (sqrt.f64 5) -1/2)) (cos.f64 y) (*.f64 (fma.f64 1/2 (sqrt.f64 5) -1/2) (cos.f64 x))))))
(/.f64 (.f64 1/3 (fma.f64 (.f64 (sqrt.f64 2) (fma.f64 -1/16 (sin.f64 x) (sin.f64 y))) (*.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (fma.f64 -1/16 (sin.f64 y) (sin.f64 x))) 2)) (fma.f64 (cos.f64 y) (fma.f64 (sqrt.f64 5) -1/2 3/2) (fma.f64 (fma.f64 1/2 (sqrt.f64 5) -1/2) (cos.f64 x) 1)))
(.f64 1/3 (/.f64 (fma.f64 (fma.f64 -1/16 (sin.f64 x) (sin.f64 y)) (.f64 (sqrt.f64 2) (*.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)))) 2) (fma.f64 (cos.f64 y) (fma.f64 (sqrt.f64 5) -1/2 3/2) (fma.f64 (fma.f64 1/2 (sqrt.f64 5) -1/2) (cos.f64 x) 1))))
(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) -1/2)) (fma.f64 (cos.f64 x) (+.f64 (*.f64 (sqrt.f64 5) 1/2) -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 (cos.f64 x) (cos.f64 y)) (+.f64 (sin.f64 y) (.f64 -1/16 (sin.f64 x)))) 2) (+.f64 1 (fma.f64 (+.f64 3/2 (.f64 (sqrt.f64 5) -1/2)) (cos.f64 y) (*.f64 (fma.f64 1/2 (sqrt.f64 5) -1/2) (cos.f64 x))))))
(/.f64 (.f64 1/3 (fma.f64 (.f64 (sqrt.f64 2) (fma.f64 -1/16 (sin.f64 x) (sin.f64 y))) (*.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (fma.f64 -1/16 (sin.f64 y) (sin.f64 x))) 2)) (fma.f64 (cos.f64 y) (fma.f64 (sqrt.f64 5) -1/2 3/2) (fma.f64 (fma.f64 1/2 (sqrt.f64 5) -1/2) (cos.f64 x) 1)))
(.f64 1/3 (/.f64 (fma.f64 (fma.f64 -1/16 (sin.f64 x) (sin.f64 y)) (.f64 (sqrt.f64 2) (*.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)))) 2) (fma.f64 (cos.f64 y) (fma.f64 (sqrt.f64 5) -1/2 3/2) (fma.f64 (fma.f64 1/2 (sqrt.f64 5) -1/2) (cos.f64 x) 1))))

eval1.5s (4.8%)

Compiler: Compiled 67922 to 46882 computations (31% saved)

prune586.0ms (1.9%)

Pruning

48 alts after pruning (47 fresh and 1 done)

	Pruned	Kept	Total
New	1072	47	1119
Fresh	1	0	1
Picked	1	0	1
Done	3	1	4
Total	1077	48	1125

Error

0.0b

Counts

1125 → 48

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.4b	(/.f64 (fma.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16)) (.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)) (-.f64 (cos.f64 x) (cos.f64 y)))) 2) (+.f64 (/.f64 (/.f64 (*.f64 (cos.f64 x) 4) (+.f64 (sqrt.f64 5) 1)) 2/3) (fma.f64 (cos.f64 y) (/.f64 (-.f64 3 (sqrt.f64 5)) 2/3) 3)))
	0.5b	(/.f64 (fma.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16)) (.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)) (-.f64 (cos.f64 x) (cos.f64 y)))) 2) (+.f64 (/.f64 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) 2/3) (fma.f64 (cos.f64 y) (/.f64 (/.f64 4 (+.f64 (sqrt.f64 5) 3)) 2/3) 3)))
	0.4b	(/.f64 (fma.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16)) (.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)) (-.f64 (cos.f64 x) (cos.f64 y)))) 2) (+.f64 (/.f64 (cos.f64 x) (fma.f64 (sqrt.f64 5) 1/6 1/6)) (fma.f64 (cos.f64 y) (/.f64 (-.f64 3 (sqrt.f64 5)) 2/3) 3)))
	0.5b	(/.f64 (fma.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16)) (.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)) (-.f64 (cos.f64 x) (cos.f64 y)))) 2) (+.f64 (.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (+.f64 (.f64 (sqrt.f64 5) 1/6) 1/6)) (cbrt.f64 (cos.f64 x))) (fma.f64 (cos.f64 y) (/.f64 (-.f64 3 (sqrt.f64 5)) 2/3) 3)))
	0.4b	(/.f64 (fma.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16)) (.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)) (-.f64 (cos.f64 x) (cos.f64 y)))) 2) (+.f64 (*.f64 (/.f64 (cos.f64 x) 1/3) (/.f64 (sqrt.f64 (+.f64 (sqrt.f64 5) -1)) (sqrt.f64 (+.f64 (sqrt.f64 5) 1)))) (fma.f64 (cos.f64 y) (/.f64 (-.f64 3 (sqrt.f64 5)) 2/3) 3)))
	0.4b	(/.f64 (fma.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16)) (.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)) (-.f64 (cos.f64 x) (cos.f64 y)))) 2) (+.f64 (.f64 (+.f64 (sqrt.f64 5) -1) (.f64 (cos.f64 x) 3/2)) (fma.f64 (cos.f64 y) (/.f64 (-.f64 3 (sqrt.f64 5)) 2/3) 3)))
✓	0.5b	(/.f64 (fma.f64 (sqrt.f64 2) (.f64 (+.f64 (sin.f64 y) (.f64 -1/16 (sin.f64 x))) (.f64 (+.f64 (sin.f64 x) (.f64 -1/16 (sin.f64 y))) (-.f64 (cos.f64 x) (cos.f64 y)))) 2) (fma.f64 (cos.f64 x) (/.f64 (+.f64 (sqrt.f64 5) -1) 2/3) (fma.f64 (cos.f64 y) (*.f64 3/2 (-.f64 3 (sqrt.f64 5))) 3)))
	0.6b	(/.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) (expm1.f64 (log1p.f64 (.f64 (+.f64 (sqrt.f64 5) -1) 3/2))) (fma.f64 (cos.f64 y) (.f64 3/2 (-.f64 3 (sqrt.f64 5))) 3)))
	24.4b	(/.f64 (fma.f64 -1/16 (.f64 (pow.f64 (sin.f64 x) 2) (.f64 (+.f64 (cos.f64 x) -1) (sqrt.f64 2))) 2) (fma.f64 3/2 (-.f64 3 (+.f64 (sqrt.f64 5) (*.f64 (-.f64 1 (sqrt.f64 5)) (cos.f64 x)))) 3))
	27.0b	(/.f64 (fma.f64 -1/16 (.f64 (-.f64 1 (cos.f64 y)) (.f64 (pow.f64 (sin.f64 y) 2) (sqrt.f64 2))) 2) (+.f64 (fma.f64 3/2 (*.f64 (cos.f64 y) (-.f64 3 (sqrt.f64 5))) 3) (fma.f64 3/2 (sqrt.f64 5) -3/2)))
	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 3/2 (.f64 (-.f64 3 (sqrt.f64 5)) (cos.f64 y))) (.f64 3/2 (*.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))))))
▶	0.5b	(/.f64 (+.f64 2 (.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 (sqrt.f64 2) (+.f64 (sin.f64 x) (.f64 (sin.f64 y) -1/16)))) 3) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (*.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
	0.8b	(/.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 (pow.f64 (cbrt.f64 (.f64 (.f64 (+.f64 (sqrt.f64 5) -1) (cos.f64 x)) 1/2)) 3)) (*.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
	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 1 (pow.f64 5 1/4)) (/.f64 (/.f64 2 (cos.f64 x)) (-.f64 (pow.f64 5 1/4) 1)))) (*.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
	1.2b	(/.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 (cos.f64 x) (pow.f64 (cbrt.f64 (+.f64 (.f64 (sqrt.f64 5) 1/2) -1/2)) 2)) (cbrt.f64 (-.f64 1 (sqrt.f64 5)))) (cbrt.f64 -2))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
	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 (cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 5) -1) 2)) (/.f64 2 (.f64 (cos.f64 x) (cbrt.f64 (+.f64 (sqrt.f64 5) -1)))))) (.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 4 (.f64 (/.f64 2 (cos.f64 x)) (+.f64 (sqrt.f64 5) 1)))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
	0.4b	(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (/.f64 4 (+.f64 (sqrt.f64 5) 3)) 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 -1 (pow.f64 5 1/4)) (.f64 (cos.f64 x) (/.f64 (+.f64 1 (pow.f64 5 1/4)) 2)))) (*.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 (cos.f64 x) (/.f64 -2 (-.f64 -1 (sqrt.f64 5))))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
	26.8b	(/.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 1/2 (-.f64 (sqrt.f64 5) 1))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
	25.0b	(/.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 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)))))
	30.6b	(/.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) (-.f64 (.f64 1/2 (.f64 y y)) 1)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
	33.2b	(/.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 (-.f64 (.f64 -1/2 (.f64 x x)) (cos.f64 y))))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
	22.0b	(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (sin.f64 x)) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
	12.8b	(/.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 (pow.f64 (sqrt.f64 (fma.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) -1/2) (/.f64 (cos.f64 y) (+.f64 3/2 (sqrt.f64 5/4))))) 2))))
	0.5b	(/.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 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) -1/2)) (exp.f64 (log1p.f64 (/.f64 (cos.f64 y) (+.f64 3/2 (sqrt.f64 5/4)))))) 1))))
	24.2b	(/.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 3/2 (.f64 (cos.f64 x) (-.f64 (.f64 1/2 (sqrt.f64 5)) 1/2))) (*.f64 1/2 (sqrt.f64 5))))))
	0.4b	(/.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 1 (+.f64 3/2 (sqrt.f64 5/4))))))))
	0.5b	(/.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 (sqrt.f64 5/4)))))))
	22.8b	(/.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) 1)))) (.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)))))))
	25.0b	(/.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 1 (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)))))))
▶	25.1b	(/.f64 (+.f64 2 (.f64 (.f64 (sqrt.f64 2) (.f64 -1/16 (sin.f64 y))) (.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)))))))
	22.0b	(/.f64 (+.f64 2 (.f64 (.f64 (sqrt.f64 2) (sin.f64 x)) (.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)))))))
▶	24.4b	(/.f64 (+.f64 2 (.f64 (.f64 -1/16 (sqrt.f64 2)) (.f64 (+.f64 (cos.f64 x) -1) (pow.f64 (sin.f64 x) 2)))) (+.f64 3 (.f64 3/2 (+.f64 (-.f64 3 (sqrt.f64 5)) (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1))))))
	27.0b	(/.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 3/2 (.f64 (-.f64 3 (sqrt.f64 5)) (cos.f64 y))))))
	0.5b	(/.f64 (.f64 1/3 (fma.f64 (.f64 (sqrt.f64 2) (fma.f64 -1/16 (sin.f64 x) (sin.f64 y))) (*.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (fma.f64 -1/16 (sin.f64 y) (sin.f64 x))) 2)) (fma.f64 (cos.f64 y) (fma.f64 (sqrt.f64 5) -1/2 3/2) (fma.f64 (fma.f64 1/2 (sqrt.f64 5) -1/2) (cos.f64 x) 1)))
	27.0b	(/.f64 1/3 (/.f64 (fma.f64 (cos.f64 y) (fma.f64 (sqrt.f64 5) -1/2 3/2) (fma.f64 1/2 (sqrt.f64 5) 1/2)) (fma.f64 -1/16 (.f64 (pow.f64 (sin.f64 y) 2) (.f64 (sqrt.f64 2) (-.f64 1 (cos.f64 y)))) 2)))
	29.5b	(+.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 3/2 (.f64 (-.f64 3 (sqrt.f64 5)) (cos.f64 y)))))) (+.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 3/2 (.f64 (-.f64 3 (sqrt.f64 5)) (cos.f64 y))))))) (.f64 2 (/.f64 1 (+.f64 (.f64 3/2 (-.f64 (sqrt.f64 5) 1)) (+.f64 3 (.f64 3/2 (*.f64 (-.f64 3 (sqrt.f64 5)) (cos.f64 y)))))))))
	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 1/3 (fma.f64 (cos.f64 y) (+.f64 3/2 (.f64 (sqrt.f64 5) -1/2)) (fma.f64 (cos.f64 x) (+.f64 (*.f64 (sqrt.f64 5) 1/2) -1/2) 1))))
	24.4b	(.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)))))
	27.1b	(.f64 1/3 (/.f64 (fma.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2))) 2) (+.f64 1/2 (fma.f64 (cos.f64 y) (fma.f64 (sqrt.f64 5) -1/2 3/2) (.f64 1/2 (sqrt.f64 5))))))
	27.1b	(.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 1/2 (+.f64 (.f64 1/2 (sqrt.f64 5)) (.f64 (-.f64 3/2 (*.f64 1/2 (sqrt.f64 5))) (cos.f64 y))))))
▶	0.5b	(.f64 1/3 (/.f64 (+.f64 2 (.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))))))) (+.f64 1 (+.f64 (.f64 (-.f64 3/2 (.f64 1/2 (sqrt.f64 5))) (cos.f64 y)) (.f64 (cos.f64 x) (-.f64 (.f64 1/2 (sqrt.f64 5)) 1/2))))))
	24.4b	(.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 (+.f64 5/2 (.f64 (cos.f64 x) (-.f64 (.f64 1/2 (sqrt.f64 5)) 1/2))) (*.f64 1/2 (sqrt.f64 5)))))
	24.4b	(.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 5/2 (-.f64 (.f64 (fma.f64 1/2 (sqrt.f64 5) -1/2) (cos.f64 x)) (.f64 1/2 (sqrt.f64 5))))))
	0.6b	(log.f64 (exp.f64 (/.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 (sin.f64 y) -1/16)))) 2) (fma.f64 (cos.f64 x) (*.f64 (+.f64 (sqrt.f64 5) -1) 3/2) (fma.f64 (cos.f64 y) (/.f64 6 (+.f64 (sqrt.f64 5) 3)) 3)))))
	0.5b	(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) -1/2)) (fma.f64 (cos.f64 x) (+.f64 (*.f64 (sqrt.f64 5) 1/2) -1/2) 1))))))

Compiler

Compiled 4687 to 3727 computations (20.5% saved)

localize80.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.6b	(/.f64 (*.f64 (cos.f64 x) 4) (+.f64 (sqrt.f64 5) 1))
✓	0.7b	(/.f64 (/.f64 (*.f64 (cos.f64 x) 4) (+.f64 (sqrt.f64 5) 1)) 2/3)
	1.0b	(-.f64 3 (sqrt.f64 5))
	1.4b	(-.f64 (cos.f64 x) (cos.f64 y))

Compiler

Compiled 227 to 141 computations (37.9% saved)

series42.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
35.0ms	x	@	0	(/.f64 (/.f64 (*.f64 (cos.f64 x) 4) (+.f64 (sqrt.f64 5) 1)) 2/3)
6.0ms	x	@	inf	(/.f64 (/.f64 (*.f64 (cos.f64 x) 4) (+.f64 (sqrt.f64 5) 1)) 2/3)
1.0ms	x	@	-inf	(/.f64 (/.f64 (*.f64 (cos.f64 x) 4) (+.f64 (sqrt.f64 5) 1)) 2/3)
0.0ms	x	@	0	(/.f64 (*.f64 (cos.f64 x) 4) (+.f64 (sqrt.f64 5) 1))
0.0ms	x	@	inf	(/.f64 (*.f64 (cos.f64 x) 4) (+.f64 (sqrt.f64 5) 1))

rewrite80.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1810×	`associate-/l*`
1786×	`associate-/r*`
774×	`associate-/r/`
572×	`associate-/l/`
290×	`add-sqr-sqrt`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	14	60
1	301	54
2	3721	48

Stop Event

1×	node limit

Counts

2 → 144

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) 3/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 x) 4) (*.f64 (*.f64 1/4 (+.f64 (sqrt.f64 5) -1)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 x) 4) (/.f64 3/2 (+.f64 (sqrt.f64 5) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) 3/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) 3/2)) (sqrt.f64 (*.f64 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1))) (*.f64 (sqrt.f64 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) 3/2)) (pow.f64 (cbrt.f64 (*.f64 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) 3/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) 3/2)) 2) (cbrt.f64 (*.f64 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1))) 2) (*.f64 (cbrt.f64 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 3/2 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1 (sqrt.f64 5)) (cos.f64 x)) -3/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 6 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cos.f64 x) 1/6) (*.f64 1/4 (+.f64 (sqrt.f64 5) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 3/2 (+.f64 (sqrt.f64 5) 1)) (*.f64 (cos.f64 x) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -3/2 (*.f64 (-.f64 1 (sqrt.f64 5)) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cos.f64 x) 2/3) (+.f64 (sqrt.f64 5) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (cos.f64 x)) 1/3) (/.f64 (sqrt.f64 (cos.f64 x)) (/.f64 (+.f64 (sqrt.f64 5) 1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) 4)) 2) 2/3) (/.f64 (cbrt.f64 (*.f64 (cos.f64 x) 4)) (+.f64 (sqrt.f64 5) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (cos.f64 x) 3/2) 1) (+.f64 (sqrt.f64 5) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (cos.f64 x) 3/2) (+.f64 (sqrt.f64 5) 1)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (*.f64 (cos.f64 x) 4) 3/2) 4) (+.f64 (sqrt.f64 5) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (*.f64 (cos.f64 x) 4) 3/2) 1) (*.f64 1/4 (+.f64 (sqrt.f64 5) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (*.f64 (cos.f64 x) 4) 3/2) (+.f64 1 (pow.f64 5 3/2))) (-.f64 6 (sqrt.f64 5)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (cos.f64 x) 1/6) 4) (+.f64 (sqrt.f64 5) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (cos.f64 x) 1/6) 1) (*.f64 1/4 (+.f64 (sqrt.f64 5) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (cos.f64 x) 1/6) (+.f64 1 (pow.f64 5 3/2))) (-.f64 6 (sqrt.f64 5)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 4 (+.f64 2/3 (*.f64 2/3 (sqrt.f64 5)))) (cos.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 (cos.f64 x) 4)) (+.f64 2/3 (*.f64 2/3 (sqrt.f64 5)))) (sqrt.f64 (*.f64 (cos.f64 x) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cos.f64 x) (+.f64 2/3 (*.f64 2/3 (sqrt.f64 5)))) 4)))) (#(struct:change #<rule 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simplify93.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1318×	`associate-/r/`
1206×	`unswap-sqr`
610×	`*-commutative`
560×	`associate-*l/`
526×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	380	5678
1	1093	5452
2	4681	5452

Stop Event

1×	node limit

Counts

168 → 228

Calls

Call 1

Inputs
(/.f64 6 (+.f64 (sqrt.f64 5) 1))
(+.f64 (.f64 -3 (/.f64 (pow.f64 x 2) (+.f64 (sqrt.f64 5) 1))) (.f64 6 (/.f64 1 (+.f64 (sqrt.f64 5) 1))))
(+.f64 (.f64 -3 (/.f64 (pow.f64 x 2) (+.f64 (sqrt.f64 5) 1))) (+.f64 (.f64 1/4 (/.f64 (pow.f64 x 4) (+.f64 (sqrt.f64 5) 1))) (*.f64 6 (/.f64 1 (+.f64 (sqrt.f64 5) 1)))))
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(pow.f64 (*.f64 (+.f64 (sqrt.f64 5) 1) (/.f64 1/4 (cos.f64 x))) -1)
(neg.f64 (/.f64 (*.f64 (cos.f64 x) 4) (-.f64 -1 (sqrt.f64 5))))
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) 2))
(log.f64 (exp.f64 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)))))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) 3))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 x) 4) 3) (pow.f64 (+.f64 (sqrt.f64 5) 1) 3)))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1))))
(exp.f64 (log.f64 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1))))
(exp.f64 (.f64 (log.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1))) 1))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1))))

Outputs
(/.f64 6 (+.f64 (sqrt.f64 5) 1))
(+.f64 (.f64 -3 (/.f64 (pow.f64 x 2) (+.f64 (sqrt.f64 5) 1))) (.f64 6 (/.f64 1 (+.f64 (sqrt.f64 5) 1))))
(fma.f64 -3 (/.f64 (*.f64 x x) (+.f64 (sqrt.f64 5) 1)) (/.f64 6 (+.f64 (sqrt.f64 5) 1)))
(fma.f64 -3 (/.f64 x (/.f64 (+.f64 (sqrt.f64 5) 1) x)) (/.f64 6 (+.f64 (sqrt.f64 5) 1)))
(fma.f64 -3 (*.f64 (/.f64 x (+.f64 (sqrt.f64 5) 1)) x) (/.f64 6 (+.f64 (sqrt.f64 5) 1)))
(+.f64 (.f64 -3 (/.f64 (pow.f64 x 2) (+.f64 (sqrt.f64 5) 1))) (+.f64 (.f64 1/4 (/.f64 (pow.f64 x 4) (+.f64 (sqrt.f64 5) 1))) (*.f64 6 (/.f64 1 (+.f64 (sqrt.f64 5) 1)))))
(fma.f64 -3 (/.f64 (*.f64 x x) (+.f64 (sqrt.f64 5) 1)) (fma.f64 1/4 (/.f64 (pow.f64 x 4) (+.f64 (sqrt.f64 5) 1)) (/.f64 6 (+.f64 (sqrt.f64 5) 1))))
(fma.f64 -3 (/.f64 x (/.f64 (+.f64 (sqrt.f64 5) 1) x)) (fma.f64 1/4 (/.f64 (pow.f64 x 4) (+.f64 (sqrt.f64 5) 1)) (/.f64 6 (+.f64 (sqrt.f64 5) 1))))
(fma.f64 -3 (*.f64 (/.f64 x (+.f64 (sqrt.f64 5) 1)) x) (fma.f64 1/4 (/.f64 (pow.f64 x 4) (+.f64 (sqrt.f64 5) 1)) (/.f64 6 (+.f64 (sqrt.f64 5) 1))))
(+.f64 (.f64 -3 (/.f64 (pow.f64 x 2) (+.f64 (sqrt.f64 5) 1))) (+.f64 (.f64 -1/120 (/.f64 (pow.f64 x 6) (+.f64 (sqrt.f64 5) 1))) (+.f64 (.f64 1/4 (/.f64 (pow.f64 x 4) (+.f64 (sqrt.f64 5) 1))) (.f64 6 (/.f64 1 (+.f64 (sqrt.f64 5) 1))))))
(fma.f64 -3 (/.f64 (*.f64 x x) (+.f64 (sqrt.f64 5) 1)) (fma.f64 -1/120 (/.f64 (pow.f64 x 6) (+.f64 (sqrt.f64 5) 1)) (fma.f64 1/4 (/.f64 (pow.f64 x 4) (+.f64 (sqrt.f64 5) 1)) (/.f64 6 (+.f64 (sqrt.f64 5) 1)))))
(fma.f64 -3 (/.f64 x (/.f64 (+.f64 (sqrt.f64 5) 1) x)) (fma.f64 -1/120 (/.f64 (pow.f64 x 6) (+.f64 (sqrt.f64 5) 1)) (fma.f64 1/4 (/.f64 (pow.f64 x 4) (+.f64 (sqrt.f64 5) 1)) (/.f64 6 (+.f64 (sqrt.f64 5) 1)))))
(fma.f64 -3 (*.f64 (/.f64 x (+.f64 (sqrt.f64 5) 1)) x) (fma.f64 -1/120 (/.f64 (pow.f64 x 6) (+.f64 (sqrt.f64 5) 1)) (fma.f64 1/4 (/.f64 (pow.f64 x 4) (+.f64 (sqrt.f64 5) 1)) (/.f64 6 (+.f64 (sqrt.f64 5) 1)))))
(*.f64 6 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1)))
(/.f64 6 (/.f64 (+.f64 (sqrt.f64 5) 1) (cos.f64 x)))
(*.f64 6 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1)))
(/.f64 6 (/.f64 (+.f64 (sqrt.f64 5) 1) (cos.f64 x)))
(*.f64 6 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1)))
(/.f64 6 (/.f64 (+.f64 (sqrt.f64 5) 1) (cos.f64 x)))
(*.f64 6 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1)))
(/.f64 6 (/.f64 (+.f64 (sqrt.f64 5) 1) (cos.f64 x)))
(*.f64 6 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1)))
(/.f64 6 (/.f64 (+.f64 (sqrt.f64 5) 1) (cos.f64 x)))
(*.f64 6 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1)))
(/.f64 6 (/.f64 (+.f64 (sqrt.f64 5) 1) (cos.f64 x)))
(*.f64 6 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1)))
(/.f64 6 (/.f64 (+.f64 (sqrt.f64 5) 1) (cos.f64 x)))
(*.f64 6 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1)))
(/.f64 6 (/.f64 (+.f64 (sqrt.f64 5) 1) (cos.f64 x)))
(/.f64 4 (+.f64 (sqrt.f64 5) 1))
(+.f64 (.f64 4 (/.f64 1 (+.f64 (sqrt.f64 5) 1))) (.f64 -2 (/.f64 (pow.f64 x 2) (+.f64 (sqrt.f64 5) 1))))
(+.f64 (/.f64 4 (+.f64 (sqrt.f64 5) 1)) (/.f64 (.f64 -2 (.f64 x x)) (+.f64 (sqrt.f64 5) 1)))
(fma.f64 (/.f64 x (/.f64 (+.f64 (sqrt.f64 5) 1) x)) -2 (/.f64 4 (+.f64 (sqrt.f64 5) 1)))
(fma.f64 (*.f64 (/.f64 x (+.f64 (sqrt.f64 5) 1)) x) -2 (/.f64 4 (+.f64 (sqrt.f64 5) 1)))
(+.f64 (.f64 1/6 (/.f64 (pow.f64 x 4) (+.f64 (sqrt.f64 5) 1))) (+.f64 (.f64 4 (/.f64 1 (+.f64 (sqrt.f64 5) 1))) (*.f64 -2 (/.f64 (pow.f64 x 2) (+.f64 (sqrt.f64 5) 1)))))
(fma.f64 1/6 (/.f64 (pow.f64 x 4) (+.f64 (sqrt.f64 5) 1)) (+.f64 (/.f64 4 (+.f64 (sqrt.f64 5) 1)) (/.f64 (.f64 -2 (.f64 x x)) (+.f64 (sqrt.f64 5) 1))))
(fma.f64 (/.f64 (pow.f64 x 4) (+.f64 (sqrt.f64 5) 1)) 1/6 (fma.f64 (/.f64 x (/.f64 (+.f64 (sqrt.f64 5) 1) x)) -2 (/.f64 4 (+.f64 (sqrt.f64 5) 1))))
(fma.f64 (/.f64 (pow.f64 x 4) (+.f64 (sqrt.f64 5) 1)) 1/6 (fma.f64 (*.f64 (/.f64 x (+.f64 (sqrt.f64 5) 1)) x) -2 (/.f64 4 (+.f64 (sqrt.f64 5) 1))))
(+.f64 (.f64 1/6 (/.f64 (pow.f64 x 4) (+.f64 (sqrt.f64 5) 1))) (+.f64 (.f64 4 (/.f64 1 (+.f64 (sqrt.f64 5) 1))) (+.f64 (.f64 -2 (/.f64 (pow.f64 x 2) (+.f64 (sqrt.f64 5) 1))) (.f64 -1/180 (/.f64 (pow.f64 x 6) (+.f64 (sqrt.f64 5) 1))))))
(fma.f64 1/6 (/.f64 (pow.f64 x 4) (+.f64 (sqrt.f64 5) 1)) (+.f64 (/.f64 4 (+.f64 (sqrt.f64 5) 1)) (fma.f64 -2 (/.f64 (.f64 x x) (+.f64 (sqrt.f64 5) 1)) (/.f64 (.f64 -1/180 (pow.f64 x 6)) (+.f64 (sqrt.f64 5) 1)))))
(+.f64 (fma.f64 (/.f64 x (/.f64 (+.f64 (sqrt.f64 5) 1) x)) -2 (*.f64 (/.f64 (pow.f64 x 6) (+.f64 (sqrt.f64 5) 1)) -1/180)) (fma.f64 (/.f64 (pow.f64 x 4) (+.f64 (sqrt.f64 5) 1)) 1/6 (/.f64 4 (+.f64 (sqrt.f64 5) 1))))
(+.f64 (fma.f64 (.f64 (/.f64 x (+.f64 (sqrt.f64 5) 1)) x) -2 (.f64 (/.f64 (pow.f64 x 6) (+.f64 (sqrt.f64 5) 1)) -1/180)) (fma.f64 (/.f64 (pow.f64 x 4) (+.f64 (sqrt.f64 5) 1)) 1/6 (/.f64 4 (+.f64 (sqrt.f64 5) 1))))
(*.f64 4 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1)))
(/.f64 4 (/.f64 (+.f64 (sqrt.f64 5) 1) (cos.f64 x)))
(*.f64 4 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1)))
(/.f64 4 (/.f64 (+.f64 (sqrt.f64 5) 1) (cos.f64 x)))
(*.f64 4 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1)))
(/.f64 4 (/.f64 (+.f64 (sqrt.f64 5) 1) (cos.f64 x)))
(*.f64 4 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1)))
(/.f64 4 (/.f64 (+.f64 (sqrt.f64 5) 1) (cos.f64 x)))
(*.f64 4 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1)))
(/.f64 4 (/.f64 (+.f64 (sqrt.f64 5) 1) (cos.f64 x)))
(*.f64 4 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1)))
(/.f64 4 (/.f64 (+.f64 (sqrt.f64 5) 1) (cos.f64 x)))
(*.f64 4 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1)))
(/.f64 4 (/.f64 (+.f64 (sqrt.f64 5) 1) (cos.f64 x)))
(*.f64 4 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1)))
(/.f64 4 (/.f64 (+.f64 (sqrt.f64 5) 1) (cos.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) 3/2))) 1)
(.f64 (cos.f64 x) (.f64 (+.f64 (sqrt.f64 5) -1) 3/2))
(.f64 (.f64 (cos.f64 x) 4) (.f64 (.f64 1/4 (+.f64 (sqrt.f64 5) -1)) 3/2))
(.f64 (cos.f64 x) (.f64 (+.f64 (sqrt.f64 5) -1) 3/2))
(.f64 (.f64 (cos.f64 x) 4) (/.f64 3/2 (+.f64 (sqrt.f64 5) 1)))
(*.f64 6 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1)))
(/.f64 6 (/.f64 (+.f64 (sqrt.f64 5) 1) (cos.f64 x)))
(.f64 1 (.f64 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) 3/2))
(.f64 (cos.f64 x) (.f64 (+.f64 (sqrt.f64 5) -1) 3/2))
(.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) 3/2)
(.f64 (cos.f64 x) (.f64 (+.f64 (sqrt.f64 5) -1) 3/2))
(.f64 (.f64 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) 3/2) 1)
(.f64 (cos.f64 x) (.f64 (+.f64 (sqrt.f64 5) -1) 3/2))
(.f64 (sqrt.f64 (.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) 3/2)) (sqrt.f64 (.f64 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) 3/2)))
(.f64 (cos.f64 x) (.f64 (+.f64 (sqrt.f64 5) -1) 3/2))
(.f64 (sqrt.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1))) (.f64 (sqrt.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1))) 3/2))
(.f64 (cos.f64 x) (.f64 (+.f64 (sqrt.f64 5) -1) 3/2))
(.f64 (cbrt.f64 (.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) 3/2)) (pow.f64 (cbrt.f64 (.f64 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) 3/2)) 2))
(.f64 (cos.f64 x) (.f64 (+.f64 (sqrt.f64 5) -1) 3/2))
(.f64 (pow.f64 (cbrt.f64 (.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) 3/2)) 2) (cbrt.f64 (.f64 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) 3/2)))
(.f64 (cos.f64 x) (.f64 (+.f64 (sqrt.f64 5) -1) 3/2))
(.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1))) 2) (.f64 (cbrt.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1))) 3/2))
(.f64 (cos.f64 x) (.f64 (+.f64 (sqrt.f64 5) -1) 3/2))
(.f64 3/2 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)))
(.f64 (cos.f64 x) (.f64 (+.f64 (sqrt.f64 5) -1) 3/2))
(.f64 (.f64 (-.f64 1 (sqrt.f64 5)) (cos.f64 x)) -3/2)
(.f64 (cos.f64 x) (.f64 (+.f64 (sqrt.f64 5) -1) 3/2))
(*.f64 6 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1)))
(/.f64 6 (/.f64 (+.f64 (sqrt.f64 5) 1) (cos.f64 x)))
(.f64 (/.f64 (cos.f64 x) 1/6) (.f64 1/4 (+.f64 (sqrt.f64 5) -1)))
(.f64 (cos.f64 x) (.f64 (+.f64 (sqrt.f64 5) -1) 3/2))
(.f64 (/.f64 3/2 (+.f64 (sqrt.f64 5) 1)) (.f64 (cos.f64 x) 4))
(*.f64 6 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1)))
(/.f64 6 (/.f64 (+.f64 (sqrt.f64 5) 1) (cos.f64 x)))
(.f64 -3/2 (.f64 (-.f64 1 (sqrt.f64 5)) (cos.f64 x)))
(.f64 (cos.f64 x) (.f64 (+.f64 (sqrt.f64 5) -1) 3/2))
(*.f64 (/.f64 (cos.f64 x) 2/3) (+.f64 (sqrt.f64 5) -1))
(.f64 (cos.f64 x) (.f64 (+.f64 (sqrt.f64 5) -1) 3/2))
(*.f64 (/.f64 (sqrt.f64 (cos.f64 x)) 1/3) (/.f64 (sqrt.f64 (cos.f64 x)) (/.f64 (+.f64 (sqrt.f64 5) 1) 2)))
(.f64 (/.f64 (sqrt.f64 (cos.f64 x)) 1/3) (.f64 (/.f64 (sqrt.f64 (cos.f64 x)) (+.f64 (sqrt.f64 5) 1)) 2))
(*.f64 (/.f64 (/.f64 (cos.f64 x) 1/3) (+.f64 (sqrt.f64 5) 1)) 2)
(/.f64 (/.f64 (cos.f64 x) (/.f64 (+.f64 (sqrt.f64 5) 1) 2)) 1/3)
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 x) 4)) 2) 2/3) (/.f64 (cbrt.f64 (*.f64 (cos.f64 x) 4)) (+.f64 (sqrt.f64 5) 1)))
(*.f64 6 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1)))
(/.f64 6 (/.f64 (+.f64 (sqrt.f64 5) 1) (cos.f64 x)))
(.f64 (/.f64 (.f64 (cos.f64 x) 3/2) 1) (+.f64 (sqrt.f64 5) -1))
(.f64 (cos.f64 x) (.f64 (+.f64 (sqrt.f64 5) -1) 3/2))
(.f64 (/.f64 (.f64 (cos.f64 x) 3/2) (+.f64 (sqrt.f64 5) 1)) 4)
(*.f64 6 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1)))
(/.f64 6 (/.f64 (+.f64 (sqrt.f64 5) 1) (cos.f64 x)))
(.f64 (/.f64 (.f64 (*.f64 (cos.f64 x) 4) 3/2) 4) (+.f64 (sqrt.f64 5) -1))
(.f64 (cos.f64 x) (.f64 (+.f64 (sqrt.f64 5) -1) 3/2))
(.f64 (/.f64 (.f64 (.f64 (cos.f64 x) 4) 3/2) 1) (.f64 1/4 (+.f64 (sqrt.f64 5) -1)))
(.f64 (cos.f64 x) (.f64 (+.f64 (sqrt.f64 5) -1) 3/2))
(.f64 (/.f64 (.f64 (*.f64 (cos.f64 x) 4) 3/2) (+.f64 1 (pow.f64 5 3/2))) (-.f64 6 (sqrt.f64 5)))
(.f64 (/.f64 (.f64 (cos.f64 x) 6) (+.f64 1 (pow.f64 5 3/2))) (-.f64 6 (sqrt.f64 5)))
(.f64 (/.f64 (cos.f64 x) (.f64 1/6 (+.f64 1 (pow.f64 5 3/2)))) (-.f64 6 (sqrt.f64 5)))
(.f64 (.f64 6 (/.f64 (cos.f64 x) (+.f64 1 (pow.f64 5 3/2)))) (-.f64 6 (sqrt.f64 5)))
(*.f64 (/.f64 (/.f64 (cos.f64 x) 1/6) 4) (+.f64 (sqrt.f64 5) -1))
(.f64 (cos.f64 x) (.f64 (+.f64 (sqrt.f64 5) -1) 3/2))
(.f64 (/.f64 (/.f64 (cos.f64 x) 1/6) 1) (.f64 1/4 (+.f64 (sqrt.f64 5) -1)))
(.f64 (cos.f64 x) (.f64 (+.f64 (sqrt.f64 5) -1) 3/2))
(*.f64 (/.f64 (/.f64 (cos.f64 x) 1/6) (+.f64 1 (pow.f64 5 3/2))) (-.f64 6 (sqrt.f64 5)))
(.f64 (/.f64 (.f64 (cos.f64 x) 6) (+.f64 1 (pow.f64 5 3/2))) (-.f64 6 (sqrt.f64 5)))
(.f64 (/.f64 (cos.f64 x) (.f64 1/6 (+.f64 1 (pow.f64 5 3/2)))) (-.f64 6 (sqrt.f64 5)))
(.f64 (.f64 6 (/.f64 (cos.f64 x) (+.f64 1 (pow.f64 5 3/2)))) (-.f64 6 (sqrt.f64 5)))
(.f64 (/.f64 4 (+.f64 2/3 (.f64 2/3 (sqrt.f64 5)))) (cos.f64 x))
(*.f64 6 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1)))
(/.f64 6 (/.f64 (+.f64 (sqrt.f64 5) 1) (cos.f64 x)))
(.f64 (/.f64 (sqrt.f64 (.f64 (cos.f64 x) 4)) (+.f64 2/3 (.f64 2/3 (sqrt.f64 5)))) (sqrt.f64 (.f64 (cos.f64 x) 4)))
(*.f64 6 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1)))
(/.f64 6 (/.f64 (+.f64 (sqrt.f64 5) 1) (cos.f64 x)))
(.f64 (/.f64 (cos.f64 x) (+.f64 2/3 (.f64 2/3 (sqrt.f64 5)))) 4)
(*.f64 6 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1)))
(/.f64 6 (/.f64 (+.f64 (sqrt.f64 5) 1) (cos.f64 x)))
(.f64 3/8 (.f64 (*.f64 (cos.f64 x) 4) (+.f64 (sqrt.f64 5) -1)))
(.f64 (cos.f64 x) (.f64 (+.f64 (sqrt.f64 5) -1) 3/2))
(.f64 (/.f64 (.f64 (cos.f64 x) 4) 8/3) (+.f64 (sqrt.f64 5) -1))
(.f64 (cos.f64 x) (.f64 (+.f64 (sqrt.f64 5) -1) 3/2))
(.f64 (/.f64 (.f64 (cos.f64 x) 4) (*.f64 2/3 (+.f64 1 (pow.f64 5 3/2)))) (-.f64 6 (sqrt.f64 5)))
(.f64 (/.f64 (.f64 (cos.f64 x) 6) (+.f64 1 (pow.f64 5 3/2))) (-.f64 6 (sqrt.f64 5)))
(.f64 (/.f64 (cos.f64 x) (.f64 1/6 (+.f64 1 (pow.f64 5 3/2)))) (-.f64 6 (sqrt.f64 5)))
(.f64 (.f64 6 (/.f64 (cos.f64 x) (+.f64 1 (pow.f64 5 3/2)))) (-.f64 6 (sqrt.f64 5)))
(.f64 (/.f64 1 (/.f64 2/3 (sqrt.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1))))) (sqrt.f64 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1))))
(.f64 (cos.f64 x) (.f64 (+.f64 (sqrt.f64 5) -1) 3/2))
(.f64 (/.f64 1 (/.f64 2/3 (pow.f64 (cbrt.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1))) 2))) (cbrt.f64 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1))))
(.f64 (cos.f64 x) (.f64 (+.f64 (sqrt.f64 5) -1) 3/2))
(.f64 (/.f64 (sqrt.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1))) 2/3) (sqrt.f64 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1))))
(.f64 (cos.f64 x) (.f64 (+.f64 (sqrt.f64 5) -1) 3/2))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1))) 2) 2/3) (cbrt.f64 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1))))
(.f64 (cos.f64 x) (.f64 (+.f64 (sqrt.f64 5) -1) 3/2))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 x) 4)) 2) (+.f64 2/3 (.f64 2/3 (sqrt.f64 5)))) (cbrt.f64 (.f64 (cos.f64 x) 4)))
(*.f64 6 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1)))
(/.f64 6 (/.f64 (+.f64 (sqrt.f64 5) 1) (cos.f64 x)))
(*.f64 (/.f64 3/2 (hypot.f64 1 (pow.f64 5 1/4))) (/.f64 (cos.f64 x) (/.f64 (hypot.f64 1 (pow.f64 5 1/4)) 4)))
(.f64 (/.f64 3/2 (hypot.f64 1 (pow.f64 5 1/4))) (.f64 (/.f64 (cos.f64 x) (hypot.f64 1 (pow.f64 5 1/4))) 4))
(/.f64 (/.f64 (*.f64 6 (cos.f64 x)) (hypot.f64 1 (pow.f64 5 1/4))) (hypot.f64 1 (pow.f64 5 1/4)))
(*.f64 (/.f64 3/2 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 5) 1)) 2)) (/.f64 4 (/.f64 (cbrt.f64 (+.f64 (sqrt.f64 5) 1)) (cos.f64 x))))
(/.f64 (.f64 3/2 (.f64 (/.f64 4 (cbrt.f64 (+.f64 (sqrt.f64 5) 1))) (cos.f64 x))) (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 5) 1)) 2))
(/.f64 (/.f64 (*.f64 6 (cos.f64 x)) (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 5) 1)) 2)) (cbrt.f64 (+.f64 (sqrt.f64 5) 1)))
(.f64 (/.f64 3/2 (.f64 (+.f64 (sqrt.f64 5) 1) 1/4)) (cos.f64 x))
(*.f64 6 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1)))
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(/.f64 (pow.f64 (cbrt.f64 (.f64 4 (cos.f64 x))) 2) (/.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 5) 1)) 2) (cbrt.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)))))
(.f64 (/.f64 (cos.f64 x) 4) (.f64 4 (+.f64 (sqrt.f64 5) -1)))
(*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1))
(.f64 (/.f64 (cos.f64 x) (+.f64 1 (pow.f64 5 3/2))) (.f64 4 (-.f64 6 (sqrt.f64 5))))
(.f64 (.f64 (cos.f64 x) (*.f64 4 (-.f64 6 (sqrt.f64 5)))) (/.f64 1 (+.f64 1 (pow.f64 5 3/2))))
(.f64 4 (.f64 (-.f64 6 (sqrt.f64 5)) (/.f64 (cos.f64 x) (+.f64 1 (pow.f64 5 3/2)))))
(*.f64 (/.f64 (/.f64 (cos.f64 x) 1/4) 4) (+.f64 (sqrt.f64 5) -1))
(*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1))
(.f64 (/.f64 (/.f64 (cos.f64 x) 1/4) 1) (.f64 1/4 (+.f64 (sqrt.f64 5) -1)))
(.f64 (.f64 1/4 (+.f64 (sqrt.f64 5) -1)) (/.f64 (cos.f64 x) 1/4))
(*.f64 (fma.f64 (sqrt.f64 5) 1/4 -1/4) (/.f64 (cos.f64 x) 1/4))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 x) 4)) 2) (+.f64 (sqrt.f64 5) 1)) (cbrt.f64 (*.f64 (cos.f64 x) 4)))
(*.f64 4 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1)))
(/.f64 4 (/.f64 (+.f64 (sqrt.f64 5) 1) (cos.f64 x)))
(.f64 (/.f64 (sqrt.f64 (cos.f64 x)) (.f64 (+.f64 (sqrt.f64 5) 1) 1/4)) (sqrt.f64 (cos.f64 x)))
(*.f64 (sqrt.f64 (cos.f64 x)) (/.f64 (/.f64 (sqrt.f64 (cos.f64 x)) (+.f64 (sqrt.f64 5) 1)) 1/4))
(/.f64 (cos.f64 x) (+.f64 1/4 (*.f64 (sqrt.f64 5) 1/4)))
(.f64 (/.f64 (.f64 (cos.f64 x) 4) -4) (-.f64 1 (sqrt.f64 5)))
(*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1))
(.f64 (/.f64 (.f64 (cos.f64 x) 4) -4) (neg.f64 (+.f64 (sqrt.f64 5) -1)))
(*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1))
(.f64 (/.f64 (.f64 (cos.f64 x) 4) (neg.f64 (+.f64 1 (pow.f64 5 3/2)))) (neg.f64 (-.f64 6 (sqrt.f64 5))))
(.f64 (.f64 (cos.f64 x) (*.f64 4 (-.f64 6 (sqrt.f64 5)))) (/.f64 1 (+.f64 1 (pow.f64 5 3/2))))
(.f64 4 (.f64 (-.f64 6 (sqrt.f64 5)) (/.f64 (cos.f64 x) (+.f64 1 (pow.f64 5 3/2)))))
(.f64 (/.f64 (.f64 (cos.f64 x) -4) -4) (+.f64 (sqrt.f64 5) -1))
(*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1))
(.f64 (/.f64 (.f64 (cos.f64 x) -4) (neg.f64 (+.f64 1 (pow.f64 5 3/2)))) (-.f64 6 (sqrt.f64 5)))
(.f64 (.f64 (cos.f64 x) (*.f64 4 (-.f64 6 (sqrt.f64 5)))) (/.f64 1 (+.f64 1 (pow.f64 5 3/2))))
(.f64 4 (.f64 (-.f64 6 (sqrt.f64 5)) (/.f64 (cos.f64 x) (+.f64 1 (pow.f64 5 3/2)))))
(*.f64 (/.f64 (cos.f64 x) (-.f64 -1 (sqrt.f64 5))) -4)
(*.f64 -4 (/.f64 (cos.f64 x) (-.f64 -1 (sqrt.f64 5))))
(/.f64 (*.f64 (cos.f64 x) -4) (-.f64 -1 (sqrt.f64 5)))
(.f64 (/.f64 1 (/.f64 (+.f64 (sqrt.f64 5) 1) (pow.f64 (cbrt.f64 (.f64 (cos.f64 x) 4)) 2))) (cbrt.f64 (*.f64 (cos.f64 x) 4)))
(*.f64 4 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1)))
(/.f64 4 (/.f64 (+.f64 (sqrt.f64 5) 1) (cos.f64 x)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (.f64 (+.f64 (sqrt.f64 5) 1) 1/4)) (cbrt.f64 (cos.f64 x)))
(*.f64 (sqrt.f64 (cos.f64 x)) (/.f64 (/.f64 (sqrt.f64 (cos.f64 x)) (+.f64 (sqrt.f64 5) 1)) 1/4))
(/.f64 (cos.f64 x) (+.f64 1/4 (*.f64 (sqrt.f64 5) 1/4)))
(*.f64 (/.f64 (/.f64 (cos.f64 x) 1/4) -4) (-.f64 1 (sqrt.f64 5)))
(*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1))
(*.f64 (/.f64 (/.f64 (cos.f64 x) 1/4) -4) (neg.f64 (+.f64 (sqrt.f64 5) -1)))
(*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1))
(*.f64 (/.f64 (/.f64 (cos.f64 x) 1/4) (neg.f64 (+.f64 1 (pow.f64 5 3/2)))) (neg.f64 (-.f64 6 (sqrt.f64 5))))
(.f64 (neg.f64 (-.f64 6 (sqrt.f64 5))) (/.f64 (cos.f64 x) (.f64 (+.f64 -1 (neg.f64 (pow.f64 5 3/2))) 1/4)))
(.f64 (+.f64 -6 (sqrt.f64 5)) (/.f64 (cos.f64 x) (.f64 1/4 (-.f64 -1 (pow.f64 5 3/2)))))
(.f64 (+.f64 (sqrt.f64 5) -6) (/.f64 (cos.f64 x) (.f64 1/4 (-.f64 -1 (pow.f64 5 3/2)))))
(*.f64 (/.f64 (/.f64 (cos.f64 x) (/.f64 (hypot.f64 1 (pow.f64 5 1/4)) 4)) 2) (sqrt.f64 (+.f64 (sqrt.f64 5) -1)))
(.f64 (/.f64 (cos.f64 x) (.f64 2 (/.f64 (hypot.f64 1 (pow.f64 5 1/4)) 4))) (sqrt.f64 (+.f64 (sqrt.f64 5) -1)))
(*.f64 (/.f64 (/.f64 (cos.f64 x) (hypot.f64 1 (pow.f64 5 1/4))) 1/2) (sqrt.f64 (+.f64 (sqrt.f64 5) -1)))
(*.f64 (/.f64 (/.f64 (cos.f64 x) (/.f64 (hypot.f64 1 (pow.f64 5 1/4)) 4)) (sqrt.f64 (+.f64 1 (pow.f64 5 3/2)))) (sqrt.f64 (-.f64 6 (sqrt.f64 5))))
(.f64 (/.f64 (cos.f64 x) (.f64 (sqrt.f64 (+.f64 1 (pow.f64 5 3/2))) (/.f64 (hypot.f64 1 (pow.f64 5 1/4)) 4))) (sqrt.f64 (-.f64 6 (sqrt.f64 5))))
(.f64 (/.f64 (.f64 4 (/.f64 (cos.f64 x) (hypot.f64 1 (pow.f64 5 1/4)))) (hypot.f64 1 (pow.f64 5 3/4))) (sqrt.f64 (-.f64 6 (sqrt.f64 5))))
(/.f64 (.f64 (/.f64 (cos.f64 x) (hypot.f64 1 (pow.f64 5 1/4))) (.f64 4 (sqrt.f64 (-.f64 6 (sqrt.f64 5))))) (hypot.f64 1 (pow.f64 5 3/4)))
(*.f64 (/.f64 (/.f64 (cos.f64 x) (/.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 5) 1)) 2) 4)) (cbrt.f64 4)) (cbrt.f64 (+.f64 (sqrt.f64 5) -1)))
(.f64 (/.f64 (cos.f64 x) (.f64 (cbrt.f64 4) (/.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 5) 1)) 2) 4))) (cbrt.f64 (+.f64 (sqrt.f64 5) -1)))
(/.f64 (*.f64 4 (/.f64 (cos.f64 x) (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 5) 1)) 2))) (/.f64 (cbrt.f64 4) (cbrt.f64 (+.f64 (sqrt.f64 5) -1))))
(.f64 (.f64 (/.f64 (cos.f64 x) (*.f64 (cbrt.f64 4) (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 5) 1)) 2))) 4) (cbrt.f64 (+.f64 (sqrt.f64 5) -1)))
(*.f64 (/.f64 (/.f64 (cos.f64 x) (/.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 5) 1)) 2) 4)) (cbrt.f64 (+.f64 1 (pow.f64 5 3/2)))) (cbrt.f64 (-.f64 6 (sqrt.f64 5))))
(.f64 (/.f64 (cos.f64 x) (.f64 (cbrt.f64 (+.f64 1 (pow.f64 5 3/2))) (/.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 5) 1)) 2) 4))) (cbrt.f64 (-.f64 6 (sqrt.f64 5))))
(*.f64 (/.f64 (/.f64 (cos.f64 x) (cbrt.f64 (+.f64 1 (pow.f64 5 3/2)))) (/.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 5) 1)) 2) 4)) (cbrt.f64 (-.f64 6 (sqrt.f64 5))))
(.f64 (.f64 (/.f64 (/.f64 (cos.f64 x) (cbrt.f64 (+.f64 1 (pow.f64 5 3/2)))) (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 5) 1)) 2)) 4) (cbrt.f64 (-.f64 6 (sqrt.f64 5))))
(pow.f64 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) 1)
(*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1))
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1))) 2)
(*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1))
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1))) 3)
(*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1))
(pow.f64 (pow.f64 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) 3) 1/3)
(*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1))
(pow.f64 (*.f64 (+.f64 (sqrt.f64 5) 1) (/.f64 1/4 (cos.f64 x))) -1)
(*.f64 4 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1)))
(/.f64 4 (/.f64 (+.f64 (sqrt.f64 5) 1) (cos.f64 x)))
(neg.f64 (/.f64 (*.f64 (cos.f64 x) 4) (-.f64 -1 (sqrt.f64 5))))
(*.f64 -4 (/.f64 (cos.f64 x) (-.f64 -1 (sqrt.f64 5))))
(/.f64 (*.f64 (cos.f64 x) -4) (-.f64 -1 (sqrt.f64 5)))
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) 2))
(fabs.f64 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)))
(log.f64 (exp.f64 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1))))
(*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)))))
(*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) 3))
(*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 x) 4) 3) (pow.f64 (+.f64 (sqrt.f64 5) 1) 3)))
(cbrt.f64 (/.f64 (*.f64 (pow.f64 (cos.f64 x) 3) 64) (pow.f64 (+.f64 (sqrt.f64 5) 1) 3)))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 4 (cos.f64 x)) 3) (pow.f64 (+.f64 (sqrt.f64 5) 1) 3)))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1))))
(*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1))
(exp.f64 (log.f64 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1))))
(*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1))
(exp.f64 (.f64 (log.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1))) 1))
(*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1))))
(*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1))

localize68.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(+.f64 (-.f64 3 (sqrt.f64 5)) (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)))
	0.3b	(*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1))
	1.0b	(-.f64 3 (sqrt.f64 5))
✓	1.2b	(+.f64 (cos.f64 x) -1)

Compiler

Compiled 158 to 125 computations (20.9% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite98.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1470×	`distribute-lft-in`
458×	`associate-+l+`
452×	`associate-/r*`
350×	`+-commutative`
328×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	48
1	322	44
2	4294	44

Stop Event

1×	node limit

Counts

2 → 135

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (cos.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (cos.f64 x) 1) 2)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log.f64 (+.f64 0 (cos.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (+.f64 (cos.f64 x) 1)) (/.f64 1 (+.f64 (cos.f64 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 -1 (+.f64 (cos.f64 x) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (cos.f64 x) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (cos.f64 x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (cos.f64 x) -1)) (sqrt.f64 (+.f64 (cos.f64 x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (cos.f64 x) -1)) (pow.f64 (cbrt.f64 (+.f64 (cos.f64 x) -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (cos.f64 x) -1)) 2) (cbrt.f64 (+.f64 (cos.f64 x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 2)) (/.f64 1 (+.f64 (cos.f64 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 3)) (/.f64 1 (+.f64 1 (-.f64 (pow.f64 (cos.f64 x) 2) (neg.f64 (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (sqrt.f64 (cos.f64 x))) (-.f64 (sqrt.f64 (cos.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (cos.f64 x) 1)) (+.f64 -1 (pow.f64 (cos.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 1 (-.f64 (pow.f64 (cos.f64 x) 2) (neg.f64 (cos.f64 x))))) (+.f64 -1 (pow.f64 (cos.f64 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 2)) (+.f64 -1 (pow.f64 (cos.f64 x) 2))) (+.f64 (cos.f64 x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 2)) (-.f64 (pow.f64 (cos.f64 x) 3) -1)) (+.f64 (pow.f64 (cos.f64 x) 2) (+.f64 1 (neg.f64 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 3)) (-.f64 (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (*.f64 (-.f64 1 (neg.f64 (cos.f64 x))) (-.f64 1 (neg.f64 (cos.f64 x)))))) (+.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 2)) (neg.f64 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 3)) (+.f64 (pow.f64 (pow.f64 (cos.f64 x) 2) 3) (pow.f64 (-.f64 1 (neg.f64 (cos.f64 x))) 3))) (+.f64 (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (-.f64 (*.f64 (-.f64 1 (neg.f64 (cos.f64 x))) (-.f64 1 (neg.f64 (cos.f64 x)))) (*.f64 (pow.f64 (cos.f64 x) 2) (-.f64 1 (neg.f64 (cos.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 1 (+.f64 (cos.f64 x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 2)) (+.f64 (cos.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (cos.f64 x) 1) (/.f64 (+.f64 (cos.f64 x) 1) (+.f64 (cos.f64 x) -1)))))) 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simplify120.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1110×	`+-commutative`
1074×	`associate--r+`
596×	`associate--l+`
542×	`associate-r`
516×	`associate-+r-`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	433	8873
1	1296	8187
2	5704	8185

Stop Event

1×	node limit

Counts

159 → 226

Calls

Call 1

Inputs
(*.f64 -1/2 (pow.f64 x 2))
(+.f64 (.f64 1/24 (pow.f64 x 4)) (.f64 -1/2 (pow.f64 x 2)))
(+.f64 (.f64 1/24 (pow.f64 x 4)) (+.f64 (.f64 -1/2 (pow.f64 x 2)) (*.f64 -1/720 (pow.f64 x 6))))
(+.f64 (.f64 1/24 (pow.f64 x 4)) (+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/720 (pow.f64 x 6)) (.f64 1/40320 (pow.f64 x 8)))))
(-.f64 (cos.f64 x) 1)
(-.f64 (cos.f64 x) 1)
(-.f64 (cos.f64 x) 1)
(-.f64 (cos.f64 x) 1)
(-.f64 (cos.f64 x) 1)
(-.f64 (cos.f64 x) 1)
(-.f64 (cos.f64 x) 1)
(-.f64 (cos.f64 x) 1)
2
(+.f64 2 (.f64 -1/2 (.f64 (-.f64 (sqrt.f64 5) 1) (pow.f64 x 2))))
(+.f64 2 (+.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)))))
(+.f64 (.f64 -1/720 (.f64 (-.f64 (sqrt.f64 5) 1) (pow.f64 x 6))) (+.f64 2 (+.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))))))
(-.f64 (+.f64 3 (*.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))) (sqrt.f64 5))
(-.f64 (+.f64 3 (*.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))) (sqrt.f64 5))
(-.f64 (+.f64 3 (*.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))) (sqrt.f64 5))
(-.f64 (+.f64 3 (*.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))) (sqrt.f64 5))
(-.f64 (+.f64 3 (*.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))) (sqrt.f64 5))
(-.f64 (+.f64 3 (*.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))) (sqrt.f64 5))
(-.f64 (+.f64 3 (*.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))) (sqrt.f64 5))
(-.f64 (+.f64 3 (*.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))) (sqrt.f64 5))
(-.f64 (cos.f64 x) 1)
(-.f64 (+.f64 (cos.f64 x) 1) 2)
(-.f64 (exp.f64 (log.f64 (+.f64 0 (cos.f64 x)))) 1)
(-.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (+.f64 (cos.f64 x) 1)) (/.f64 1 (+.f64 (cos.f64 x) 1)))
(-.f64 (+.f64 -1 (+.f64 (cos.f64 x) 1)) 1)
(*.f64 (+.f64 (cos.f64 x) -1) 1)
(*.f64 1 (+.f64 (cos.f64 x) -1))
(*.f64 (sqrt.f64 (+.f64 (cos.f64 x) -1)) (sqrt.f64 (+.f64 (cos.f64 x) -1)))
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(/.f64 (.f64 (cbrt.f64 (+.f64 (pow.f64 (-.f64 3 (sqrt.f64 5)) 3) (pow.f64 (.f64 (cos.f64 x) (+.f64 -1 (sqrt.f64 5))) 3))) (cbrt.f64 (+.f64 (pow.f64 (-.f64 3 (sqrt.f64 5)) 3) (pow.f64 (.f64 (cos.f64 x) (+.f64 -1 (sqrt.f64 5))) 3)))) (/.f64 (+.f64 (pow.f64 (-.f64 3 (sqrt.f64 5)) 2) (.f64 (.f64 (cos.f64 x) (+.f64 -1 (sqrt.f64 5))) (-.f64 (.f64 (cos.f64 x) (+.f64 -1 (sqrt.f64 5))) (-.f64 3 (sqrt.f64 5))))) (cbrt.f64 (+.f64 (pow.f64 (-.f64 3 (sqrt.f64 5)) 3) (pow.f64 (*.f64 (cos.f64 x) (+.f64 -1 (sqrt.f64 5))) 3)))))
(/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 x) (+.f64 -1 (sqrt.f64 5))) 2) (pow.f64 (-.f64 3 (sqrt.f64 5)) 2)) (-.f64 (.f64 (cos.f64 x) (+.f64 -1 (sqrt.f64 5))) (-.f64 3 (sqrt.f64 5))))
(/.f64 (-.f64 (.f64 (pow.f64 (-.f64 3 (sqrt.f64 5)) 3) (pow.f64 (-.f64 3 (sqrt.f64 5)) 3)) (.f64 (pow.f64 (.f64 (cos.f64 x) (+.f64 -1 (sqrt.f64 5))) 3) (pow.f64 (.f64 (cos.f64 x) (+.f64 -1 (sqrt.f64 5))) 3))) (.f64 (+.f64 (pow.f64 (-.f64 3 (sqrt.f64 5)) 2) (.f64 (.f64 (cos.f64 x) (+.f64 -1 (sqrt.f64 5))) (-.f64 (.f64 (cos.f64 x) (+.f64 -1 (sqrt.f64 5))) (-.f64 3 (sqrt.f64 5))))) (-.f64 (pow.f64 (-.f64 3 (sqrt.f64 5)) 3) (pow.f64 (*.f64 (cos.f64 x) (+.f64 -1 (sqrt.f64 5))) 3))))
(/.f64 (-.f64 9 (.f64 (-.f64 (sqrt.f64 5) (.f64 (cos.f64 x) (+.f64 -1 (sqrt.f64 5)))) (-.f64 (sqrt.f64 5) (.f64 (cos.f64 x) (+.f64 -1 (sqrt.f64 5)))))) (-.f64 (+.f64 3 (sqrt.f64 5)) (.f64 (cos.f64 x) (+.f64 -1 (sqrt.f64 5)))))
(/.f64 (-.f64 (.f64 (pow.f64 (-.f64 3 (sqrt.f64 5)) 2) (pow.f64 (-.f64 3 (sqrt.f64 5)) 2)) (.f64 (pow.f64 (.f64 (cos.f64 x) (+.f64 -1 (sqrt.f64 5))) 2) (pow.f64 (.f64 (cos.f64 x) (+.f64 -1 (sqrt.f64 5))) 2))) (.f64 (-.f64 (-.f64 3 (sqrt.f64 5)) (.f64 (cos.f64 x) (+.f64 -1 (sqrt.f64 5)))) (+.f64 (pow.f64 (-.f64 3 (sqrt.f64 5)) 2) (pow.f64 (*.f64 (cos.f64 x) (+.f64 -1 (sqrt.f64 5))) 2))))
(/.f64 (+.f64 (pow.f64 (pow.f64 (-.f64 3 (sqrt.f64 5)) 3) 3) (pow.f64 (pow.f64 (.f64 (cos.f64 x) (+.f64 -1 (sqrt.f64 5))) 3) 3)) (.f64 (+.f64 (pow.f64 (-.f64 3 (sqrt.f64 5)) 2) (.f64 (.f64 (cos.f64 x) (+.f64 -1 (sqrt.f64 5))) (-.f64 (.f64 (cos.f64 x) (+.f64 -1 (sqrt.f64 5))) (-.f64 3 (sqrt.f64 5))))) (-.f64 (+.f64 (.f64 (pow.f64 (-.f64 3 (sqrt.f64 5)) 3) (pow.f64 (-.f64 3 (sqrt.f64 5)) 3)) (.f64 (pow.f64 (.f64 (cos.f64 x) (+.f64 -1 (sqrt.f64 5))) 3) (pow.f64 (.f64 (cos.f64 x) (+.f64 -1 (sqrt.f64 5))) 3))) (.f64 (pow.f64 (-.f64 3 (sqrt.f64 5)) 3) (pow.f64 (*.f64 (cos.f64 x) (+.f64 -1 (sqrt.f64 5))) 3)))))
(/.f64 (-.f64 27 (pow.f64 (-.f64 (sqrt.f64 5) (.f64 (cos.f64 x) (+.f64 -1 (sqrt.f64 5)))) 3)) (+.f64 9 (+.f64 (.f64 (-.f64 (sqrt.f64 5) (.f64 (cos.f64 x) (+.f64 -1 (sqrt.f64 5)))) (-.f64 (sqrt.f64 5) (.f64 (cos.f64 x) (+.f64 -1 (sqrt.f64 5))))) (.f64 3 (-.f64 (sqrt.f64 5) (.f64 (cos.f64 x) (+.f64 -1 (sqrt.f64 5))))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (-.f64 3 (sqrt.f64 5)) 2) 3) (pow.f64 (pow.f64 (.f64 (cos.f64 x) (+.f64 -1 (sqrt.f64 5))) 2) 3)) (.f64 (-.f64 (-.f64 3 (sqrt.f64 5)) (.f64 (cos.f64 x) (+.f64 -1 (sqrt.f64 5)))) (+.f64 (.f64 (pow.f64 (-.f64 3 (sqrt.f64 5)) 2) (pow.f64 (-.f64 3 (sqrt.f64 5)) 2)) (+.f64 (.f64 (pow.f64 (.f64 (cos.f64 x) (+.f64 -1 (sqrt.f64 5))) 2) (pow.f64 (.f64 (cos.f64 x) (+.f64 -1 (sqrt.f64 5))) 2)) (.f64 (pow.f64 (-.f64 3 (sqrt.f64 5)) 2) (pow.f64 (*.f64 (cos.f64 x) (+.f64 -1 (sqrt.f64 5))) 2))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 3 (sqrt.f64 5)) 2) (pow.f64 (.f64 (cos.f64 x) (+.f64 -1 (sqrt.f64 5))) 2))) (neg.f64 (-.f64 (-.f64 3 (sqrt.f64 5)) (.f64 (cos.f64 x) (+.f64 -1 (sqrt.f64 5))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (-.f64 3 (sqrt.f64 5)) 3) (pow.f64 (.f64 (cos.f64 x) (+.f64 -1 (sqrt.f64 5))) 3))) (neg.f64 (+.f64 (pow.f64 (-.f64 3 (sqrt.f64 5)) 2) (.f64 (.f64 (cos.f64 x) (+.f64 -1 (sqrt.f64 5))) (-.f64 (.f64 (cos.f64 x) (+.f64 -1 (sqrt.f64 5))) (-.f64 3 (sqrt.f64 5)))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (-.f64 3 (sqrt.f64 5)) 2) (pow.f64 (.f64 (cos.f64 x) (+.f64 -1 (sqrt.f64 5))) 2)) 1) (-.f64 (-.f64 3 (sqrt.f64 5)) (.f64 (cos.f64 x) (+.f64 -1 (sqrt.f64 5)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (-.f64 3 (sqrt.f64 5)) 2) (pow.f64 (.f64 (cos.f64 x) (+.f64 -1 (sqrt.f64 5))) 2)) (sqrt.f64 (-.f64 (-.f64 3 (sqrt.f64 5)) (.f64 (cos.f64 x) (+.f64 -1 (sqrt.f64 5)))))) (sqrt.f64 (-.f64 (-.f64 3 (sqrt.f64 5)) (*.f64 (cos.f64 x) (+.f64 -1 (sqrt.f64 5))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (-.f64 3 (sqrt.f64 5)) 2) (pow.f64 (.f64 (cos.f64 x) (+.f64 -1 (sqrt.f64 5))) 2)) (.f64 (cbrt.f64 (-.f64 (-.f64 3 (sqrt.f64 5)) (.f64 (cos.f64 x) (+.f64 -1 (sqrt.f64 5))))) (cbrt.f64 (-.f64 (-.f64 3 (sqrt.f64 5)) (.f64 (cos.f64 x) (+.f64 -1 (sqrt.f64 5))))))) (cbrt.f64 (-.f64 (-.f64 3 (sqrt.f64 5)) (*.f64 (cos.f64 x) (+.f64 -1 (sqrt.f64 5))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (-.f64 3 (sqrt.f64 5)) 2) (pow.f64 (.f64 (cos.f64 x) (+.f64 -1 (sqrt.f64 5))) 2)) (+.f64 (sqrt.f64 (-.f64 3 (sqrt.f64 5))) (sqrt.f64 (.f64 (cos.f64 x) (+.f64 -1 (sqrt.f64 5)))))) (-.f64 (sqrt.f64 (-.f64 3 (sqrt.f64 5))) (sqrt.f64 (*.f64 (cos.f64 x) (+.f64 -1 (sqrt.f64 5))))))
(/.f64 (/.f64 (+.f64 (pow.f64 (-.f64 3 (sqrt.f64 5)) 3) (pow.f64 (.f64 (cos.f64 x) (+.f64 -1 (sqrt.f64 5))) 3)) 1) (+.f64 (pow.f64 (-.f64 3 (sqrt.f64 5)) 2) (.f64 (.f64 (cos.f64 x) (+.f64 -1 (sqrt.f64 5))) (-.f64 (.f64 (cos.f64 x) (+.f64 -1 (sqrt.f64 5))) (-.f64 3 (sqrt.f64 5))))))
(/.f64 (/.f64 (+.f64 (pow.f64 (-.f64 3 (sqrt.f64 5)) 3) (pow.f64 (.f64 (cos.f64 x) (+.f64 -1 (sqrt.f64 5))) 3)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 3 (sqrt.f64 5)) 2) (.f64 (.f64 (cos.f64 x) (+.f64 -1 (sqrt.f64 5))) (-.f64 (.f64 (cos.f64 x) (+.f64 -1 (sqrt.f64 5))) (-.f64 3 (sqrt.f64 5))))))) (sqrt.f64 (+.f64 (pow.f64 (-.f64 3 (sqrt.f64 5)) 2) (.f64 (.f64 (cos.f64 x) (+.f64 -1 (sqrt.f64 5))) (-.f64 (*.f64 (cos.f64 x) (+.f64 -1 (sqrt.f64 5))) (-.f64 3 (sqrt.f64 5)))))))
(/.f64 (/.f64 (+.f64 (pow.f64 (-.f64 3 (sqrt.f64 5)) 3) (pow.f64 (.f64 (cos.f64 x) (+.f64 -1 (sqrt.f64 5))) 3)) (.f64 (cbrt.f64 (+.f64 (pow.f64 (-.f64 3 (sqrt.f64 5)) 2) (.f64 (.f64 (cos.f64 x) (+.f64 -1 (sqrt.f64 5))) (-.f64 (.f64 (cos.f64 x) (+.f64 -1 (sqrt.f64 5))) (-.f64 3 (sqrt.f64 5)))))) (cbrt.f64 (+.f64 (pow.f64 (-.f64 3 (sqrt.f64 5)) 2) (.f64 (.f64 (cos.f64 x) (+.f64 -1 (sqrt.f64 5))) (-.f64 (.f64 (cos.f64 x) (+.f64 -1 (sqrt.f64 5))) (-.f64 3 (sqrt.f64 5)))))))) (cbrt.f64 (+.f64 (pow.f64 (-.f64 3 (sqrt.f64 5)) 2) (.f64 (.f64 (cos.f64 x) (+.f64 -1 (sqrt.f64 5))) (-.f64 (*.f64 (cos.f64 x) (+.f64 -1 (sqrt.f64 5))) (-.f64 3 (sqrt.f64 5)))))))
(pow.f64 (fma.f64 (cos.f64 x) (+.f64 -1 (sqrt.f64 5)) (-.f64 3 (sqrt.f64 5))) 1)
(pow.f64 (sqrt.f64 (fma.f64 (cos.f64 x) (+.f64 -1 (sqrt.f64 5)) (-.f64 3 (sqrt.f64 5)))) 2)
(pow.f64 (cbrt.f64 (fma.f64 (cos.f64 x) (+.f64 -1 (sqrt.f64 5)) (-.f64 3 (sqrt.f64 5)))) 3)
(pow.f64 (pow.f64 (fma.f64 (cos.f64 x) (+.f64 -1 (sqrt.f64 5)) (-.f64 3 (sqrt.f64 5))) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 (cos.f64 x) (+.f64 -1 (sqrt.f64 5)) (-.f64 3 (sqrt.f64 5))) 2))
(log.f64 (exp.f64 (fma.f64 (cos.f64 x) (+.f64 -1 (sqrt.f64 5)) (-.f64 3 (sqrt.f64 5)))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (cos.f64 x) (+.f64 -1 (sqrt.f64 5)) (-.f64 3 (sqrt.f64 5))))))
(cbrt.f64 (pow.f64 (fma.f64 (cos.f64 x) (+.f64 -1 (sqrt.f64 5)) (-.f64 3 (sqrt.f64 5))) 3))
(expm1.f64 (log1p.f64 (fma.f64 (cos.f64 x) (+.f64 -1 (sqrt.f64 5)) (-.f64 3 (sqrt.f64 5)))))
(exp.f64 (log.f64 (fma.f64 (cos.f64 x) (+.f64 -1 (sqrt.f64 5)) (-.f64 3 (sqrt.f64 5)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 (cos.f64 x) (+.f64 -1 (sqrt.f64 5)) (-.f64 3 (sqrt.f64 5)))) 1))
(log1p.f64 (expm1.f64 (fma.f64 (cos.f64 x) (+.f64 -1 (sqrt.f64 5)) (-.f64 3 (sqrt.f64 5)))))
(fma.f64 (cos.f64 x) (+.f64 -1 (sqrt.f64 5)) (-.f64 3 (sqrt.f64 5)))
(fma.f64 (+.f64 -1 (sqrt.f64 5)) (cos.f64 x) (-.f64 3 (sqrt.f64 5)))
(fma.f64 1 (-.f64 3 (sqrt.f64 5)) (*.f64 (cos.f64 x) (+.f64 -1 (sqrt.f64 5))))
(fma.f64 1 (*.f64 (cos.f64 x) (+.f64 -1 (sqrt.f64 5))) (-.f64 3 (sqrt.f64 5)))
(fma.f64 (sqrt.f64 (-.f64 3 (sqrt.f64 5))) (sqrt.f64 (-.f64 3 (sqrt.f64 5))) (*.f64 (cos.f64 x) (+.f64 -1 (sqrt.f64 5))))
(fma.f64 (sqrt.f64 (.f64 (cos.f64 x) (+.f64 -1 (sqrt.f64 5)))) (sqrt.f64 (.f64 (cos.f64 x) (+.f64 -1 (sqrt.f64 5)))) (-.f64 3 (sqrt.f64 5)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 3 (sqrt.f64 5))) 2) (cbrt.f64 (-.f64 3 (sqrt.f64 5))) (*.f64 (cos.f64 x) (+.f64 -1 (sqrt.f64 5))))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 x) (+.f64 -1 (sqrt.f64 5)))) 2) (cbrt.f64 (.f64 (cos.f64 x) (+.f64 -1 (sqrt.f64 5)))) (-.f64 3 (sqrt.f64 5)))

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)))
(+.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))))
(+.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)))))
(-.f64 (cos.f64 x) 1)
(+.f64 (cos.f64 x) -1)
(-.f64 (cos.f64 x) 1)
(+.f64 (cos.f64 x) -1)
(-.f64 (cos.f64 x) 1)
(+.f64 (cos.f64 x) -1)
(-.f64 (cos.f64 x) 1)
(+.f64 (cos.f64 x) -1)
(-.f64 (cos.f64 x) 1)
(+.f64 (cos.f64 x) -1)
(-.f64 (cos.f64 x) 1)
(+.f64 (cos.f64 x) -1)
(-.f64 (cos.f64 x) 1)
(+.f64 (cos.f64 x) -1)
(-.f64 (cos.f64 x) 1)
(+.f64 (cos.f64 x) -1)
2
(+.f64 2 (.f64 -1/2 (.f64 (-.f64 (sqrt.f64 5) 1) (pow.f64 x 2))))
(+.f64 2 (.f64 -1/2 (.f64 (*.f64 x x) (+.f64 (sqrt.f64 5) -1))))
(fma.f64 (+.f64 1/2 (.f64 -1/2 (sqrt.f64 5))) (.f64 x x) 2)
(+.f64 2 (+.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)))))
(+.f64 2 (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)))))
(+.f64 2 (fma.f64 1/24 (.f64 (pow.f64 x 4) (+.f64 (sqrt.f64 5) -1)) (.f64 (.f64 x x) (+.f64 1/2 (.f64 -1/2 (sqrt.f64 5))))))
(+.f64 (.f64 -1/720 (.f64 (-.f64 (sqrt.f64 5) 1) (pow.f64 x 6))) (+.f64 2 (+.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))))))
(fma.f64 -1/720 (.f64 (pow.f64 x 6) (+.f64 (sqrt.f64 5) -1)) (+.f64 2 (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))))))
(+.f64 (fma.f64 1/24 (.f64 (pow.f64 x 4) (+.f64 (sqrt.f64 5) -1)) (.f64 (.f64 x x) (+.f64 1/2 (.f64 -1/2 (sqrt.f64 5))))) (fma.f64 -1/720 (*.f64 (pow.f64 x 6) (+.f64 (sqrt.f64 5) -1)) 2))
(-.f64 (+.f64 3 (*.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))) (sqrt.f64 5))
(+.f64 3 (-.f64 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) (sqrt.f64 5)))
(-.f64 (fma.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1) 3) (sqrt.f64 5))
(-.f64 (+.f64 3 (*.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))) (sqrt.f64 5))
(+.f64 3 (-.f64 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) (sqrt.f64 5)))
(-.f64 (fma.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1) 3) (sqrt.f64 5))
(-.f64 (+.f64 3 (*.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))) (sqrt.f64 5))
(+.f64 3 (-.f64 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) (sqrt.f64 5)))
(-.f64 (fma.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1) 3) (sqrt.f64 5))
(-.f64 (+.f64 3 (*.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))) (sqrt.f64 5))
(+.f64 3 (-.f64 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) (sqrt.f64 5)))
(-.f64 (fma.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1) 3) (sqrt.f64 5))
(-.f64 (+.f64 3 (*.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))) (sqrt.f64 5))
(+.f64 3 (-.f64 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) (sqrt.f64 5)))
(-.f64 (fma.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1) 3) (sqrt.f64 5))
(-.f64 (+.f64 3 (*.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))) (sqrt.f64 5))
(+.f64 3 (-.f64 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) (sqrt.f64 5)))
(-.f64 (fma.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1) 3) (sqrt.f64 5))
(-.f64 (+.f64 3 (*.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))) (sqrt.f64 5))
(+.f64 3 (-.f64 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) (sqrt.f64 5)))
(-.f64 (fma.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1) 3) (sqrt.f64 5))
(-.f64 (+.f64 3 (*.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))) (sqrt.f64 5))
(+.f64 3 (-.f64 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) (sqrt.f64 5)))
(-.f64 (fma.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1) 3) (sqrt.f64 5))
(-.f64 (cos.f64 x) 1)
(+.f64 (cos.f64 x) -1)
(-.f64 (+.f64 (cos.f64 x) 1) 2)
(+.f64 (cos.f64 x) -1)
(-.f64 (exp.f64 (log.f64 (+.f64 0 (cos.f64 x)))) 1)
(+.f64 (cos.f64 x) -1)
(-.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (+.f64 (cos.f64 x) 1)) (/.f64 1 (+.f64 (cos.f64 x) 1)))
(+.f64 (cos.f64 x) -1)
(-.f64 (+.f64 -1 (+.f64 (cos.f64 x) 1)) 1)
(+.f64 (cos.f64 x) -1)
(*.f64 (+.f64 (cos.f64 x) -1) 1)
(+.f64 (cos.f64 x) -1)
(*.f64 1 (+.f64 (cos.f64 x) -1))
(+.f64 (cos.f64 x) -1)
(*.f64 (sqrt.f64 (+.f64 (cos.f64 x) -1)) (sqrt.f64 (+.f64 (cos.f64 x) -1)))
(+.f64 (cos.f64 x) -1)
(*.f64 (cbrt.f64 (+.f64 (cos.f64 x) -1)) (pow.f64 (cbrt.f64 (+.f64 (cos.f64 x) -1)) 2))
(+.f64 (cos.f64 x) -1)
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (cos.f64 x) -1)) 2) (cbrt.f64 (+.f64 (cos.f64 x) -1)))
(+.f64 (cos.f64 x) -1)
(*.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 2)) (/.f64 1 (+.f64 (cos.f64 x) 1)))
(+.f64 (cos.f64 x) -1)
(*.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 3)) (/.f64 1 (+.f64 1 (-.f64 (pow.f64 (cos.f64 x) 2) (neg.f64 (cos.f64 x))))))
(/.f64 (*.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 3)) 1) (+.f64 1 (-.f64 (pow.f64 (cos.f64 x) 2) (neg.f64 (cos.f64 x)))))
(/.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 3)) (fma.f64 (cos.f64 x) (cos.f64 x) (+.f64 (cos.f64 x) 1)))
(*.f64 (+.f64 1 (sqrt.f64 (cos.f64 x))) (-.f64 (sqrt.f64 (cos.f64 x)) 1))
(+.f64 (cos.f64 x) -1)
(*.f64 (/.f64 1 (+.f64 (cos.f64 x) 1)) (+.f64 -1 (pow.f64 (cos.f64 x) 2)))
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(/.f64 (/.f64 (-.f64 (pow.f64 (-.f64 3 (sqrt.f64 5)) 2) (pow.f64 (.f64 (cos.f64 x) (+.f64 -1 (sqrt.f64 5))) 2)) 1) (-.f64 (-.f64 3 (sqrt.f64 5)) (.f64 (cos.f64 x) (+.f64 -1 (sqrt.f64 5)))))
(+.f64 3 (-.f64 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) (sqrt.f64 5)))
(-.f64 (fma.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1) 3) (sqrt.f64 5))
(/.f64 (/.f64 (-.f64 (pow.f64 (-.f64 3 (sqrt.f64 5)) 2) (pow.f64 (.f64 (cos.f64 x) (+.f64 -1 (sqrt.f64 5))) 2)) (sqrt.f64 (-.f64 (-.f64 3 (sqrt.f64 5)) (.f64 (cos.f64 x) (+.f64 -1 (sqrt.f64 5)))))) (sqrt.f64 (-.f64 (-.f64 3 (sqrt.f64 5)) (*.f64 (cos.f64 x) (+.f64 -1 (sqrt.f64 5))))))
(+.f64 3 (-.f64 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) (sqrt.f64 5)))
(-.f64 (fma.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1) 3) (sqrt.f64 5))
(/.f64 (/.f64 (-.f64 (pow.f64 (-.f64 3 (sqrt.f64 5)) 2) (pow.f64 (.f64 (cos.f64 x) (+.f64 -1 (sqrt.f64 5))) 2)) (.f64 (cbrt.f64 (-.f64 (-.f64 3 (sqrt.f64 5)) (.f64 (cos.f64 x) (+.f64 -1 (sqrt.f64 5))))) (cbrt.f64 (-.f64 (-.f64 3 (sqrt.f64 5)) (.f64 (cos.f64 x) (+.f64 -1 (sqrt.f64 5))))))) (cbrt.f64 (-.f64 (-.f64 3 (sqrt.f64 5)) (*.f64 (cos.f64 x) (+.f64 -1 (sqrt.f64 5))))))
(+.f64 3 (-.f64 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) (sqrt.f64 5)))
(-.f64 (fma.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1) 3) (sqrt.f64 5))
(/.f64 (/.f64 (-.f64 (pow.f64 (-.f64 3 (sqrt.f64 5)) 2) (pow.f64 (.f64 (cos.f64 x) (+.f64 -1 (sqrt.f64 5))) 2)) (+.f64 (sqrt.f64 (-.f64 3 (sqrt.f64 5))) (sqrt.f64 (.f64 (cos.f64 x) (+.f64 -1 (sqrt.f64 5)))))) (-.f64 (sqrt.f64 (-.f64 3 (sqrt.f64 5))) (sqrt.f64 (*.f64 (cos.f64 x) (+.f64 -1 (sqrt.f64 5))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (-.f64 3 (sqrt.f64 5)) 2) (pow.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) 2)) (+.f64 (sqrt.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1))) (sqrt.f64 (-.f64 3 (sqrt.f64 5))))) (-.f64 (sqrt.f64 (-.f64 3 (sqrt.f64 5))) (sqrt.f64 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)))))
(/.f64 (-.f64 (pow.f64 (-.f64 3 (sqrt.f64 5)) 2) (pow.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) 2)) (.f64 (+.f64 (sqrt.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1))) (sqrt.f64 (-.f64 3 (sqrt.f64 5)))) (-.f64 (sqrt.f64 (-.f64 3 (sqrt.f64 5))) (sqrt.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1))))))
(/.f64 (/.f64 (+.f64 (pow.f64 (-.f64 3 (sqrt.f64 5)) 3) (pow.f64 (.f64 (cos.f64 x) (+.f64 -1 (sqrt.f64 5))) 3)) 1) (+.f64 (pow.f64 (-.f64 3 (sqrt.f64 5)) 2) (.f64 (.f64 (cos.f64 x) (+.f64 -1 (sqrt.f64 5))) (-.f64 (.f64 (cos.f64 x) (+.f64 -1 (sqrt.f64 5))) (-.f64 3 (sqrt.f64 5))))))
(/.f64 (.f64 (+.f64 (pow.f64 (-.f64 3 (sqrt.f64 5)) 3) (pow.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) 3)) 1) (+.f64 (pow.f64 (-.f64 3 (sqrt.f64 5)) 2) (.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) (fma.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1) (neg.f64 (-.f64 3 (sqrt.f64 5)))))))
(/.f64 (+.f64 (pow.f64 (-.f64 3 (sqrt.f64 5)) 3) (pow.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) 3)) (fma.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) (+.f64 (sqrt.f64 5) (fma.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1) -3)) (pow.f64 (-.f64 3 (sqrt.f64 5)) 2)))
(/.f64 (/.f64 (+.f64 (pow.f64 (-.f64 3 (sqrt.f64 5)) 3) (pow.f64 (.f64 (cos.f64 x) (+.f64 -1 (sqrt.f64 5))) 3)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 3 (sqrt.f64 5)) 2) (.f64 (.f64 (cos.f64 x) (+.f64 -1 (sqrt.f64 5))) (-.f64 (.f64 (cos.f64 x) (+.f64 -1 (sqrt.f64 5))) (-.f64 3 (sqrt.f64 5))))))) (sqrt.f64 (+.f64 (pow.f64 (-.f64 3 (sqrt.f64 5)) 2) (.f64 (.f64 (cos.f64 x) (+.f64 -1 (sqrt.f64 5))) (-.f64 (*.f64 (cos.f64 x) (+.f64 -1 (sqrt.f64 5))) (-.f64 3 (sqrt.f64 5)))))))
(/.f64 (.f64 (+.f64 (pow.f64 (-.f64 3 (sqrt.f64 5)) 3) (pow.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) 3)) 1) (+.f64 (pow.f64 (-.f64 3 (sqrt.f64 5)) 2) (.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) (fma.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1) (neg.f64 (-.f64 3 (sqrt.f64 5)))))))
(/.f64 (+.f64 (pow.f64 (-.f64 3 (sqrt.f64 5)) 3) (pow.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) 3)) (fma.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) (+.f64 (sqrt.f64 5) (fma.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1) -3)) (pow.f64 (-.f64 3 (sqrt.f64 5)) 2)))
(/.f64 (/.f64 (+.f64 (pow.f64 (-.f64 3 (sqrt.f64 5)) 3) (pow.f64 (.f64 (cos.f64 x) (+.f64 -1 (sqrt.f64 5))) 3)) (.f64 (cbrt.f64 (+.f64 (pow.f64 (-.f64 3 (sqrt.f64 5)) 2) (.f64 (.f64 (cos.f64 x) (+.f64 -1 (sqrt.f64 5))) (-.f64 (.f64 (cos.f64 x) (+.f64 -1 (sqrt.f64 5))) (-.f64 3 (sqrt.f64 5)))))) (cbrt.f64 (+.f64 (pow.f64 (-.f64 3 (sqrt.f64 5)) 2) (.f64 (.f64 (cos.f64 x) (+.f64 -1 (sqrt.f64 5))) (-.f64 (.f64 (cos.f64 x) (+.f64 -1 (sqrt.f64 5))) (-.f64 3 (sqrt.f64 5)))))))) (cbrt.f64 (+.f64 (pow.f64 (-.f64 3 (sqrt.f64 5)) 2) (.f64 (.f64 (cos.f64 x) (+.f64 -1 (sqrt.f64 5))) (-.f64 (*.f64 (cos.f64 x) (+.f64 -1 (sqrt.f64 5))) (-.f64 3 (sqrt.f64 5)))))))
(/.f64 (.f64 (+.f64 (pow.f64 (-.f64 3 (sqrt.f64 5)) 3) (pow.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) 3)) 1) (+.f64 (pow.f64 (-.f64 3 (sqrt.f64 5)) 2) (.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) (fma.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1) (neg.f64 (-.f64 3 (sqrt.f64 5)))))))
(/.f64 (+.f64 (pow.f64 (-.f64 3 (sqrt.f64 5)) 3) (pow.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) 3)) (fma.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) (+.f64 (sqrt.f64 5) (fma.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1) -3)) (pow.f64 (-.f64 3 (sqrt.f64 5)) 2)))
(pow.f64 (fma.f64 (cos.f64 x) (+.f64 -1 (sqrt.f64 5)) (-.f64 3 (sqrt.f64 5))) 1)
(+.f64 3 (-.f64 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) (sqrt.f64 5)))
(-.f64 (fma.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1) 3) (sqrt.f64 5))
(pow.f64 (sqrt.f64 (fma.f64 (cos.f64 x) (+.f64 -1 (sqrt.f64 5)) (-.f64 3 (sqrt.f64 5)))) 2)
(+.f64 3 (-.f64 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) (sqrt.f64 5)))
(-.f64 (fma.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1) 3) (sqrt.f64 5))
(pow.f64 (cbrt.f64 (fma.f64 (cos.f64 x) (+.f64 -1 (sqrt.f64 5)) (-.f64 3 (sqrt.f64 5)))) 3)
(+.f64 3 (-.f64 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) (sqrt.f64 5)))
(-.f64 (fma.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1) 3) (sqrt.f64 5))
(pow.f64 (pow.f64 (fma.f64 (cos.f64 x) (+.f64 -1 (sqrt.f64 5)) (-.f64 3 (sqrt.f64 5))) 3) 1/3)
(+.f64 3 (-.f64 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) (sqrt.f64 5)))
(-.f64 (fma.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1) 3) (sqrt.f64 5))
(sqrt.f64 (pow.f64 (fma.f64 (cos.f64 x) (+.f64 -1 (sqrt.f64 5)) (-.f64 3 (sqrt.f64 5))) 2))
(sqrt.f64 (pow.f64 (fma.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1) (-.f64 3 (sqrt.f64 5))) 2))
(fabs.f64 (-.f64 (fma.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1) 3) (sqrt.f64 5)))
(log.f64 (exp.f64 (fma.f64 (cos.f64 x) (+.f64 -1 (sqrt.f64 5)) (-.f64 3 (sqrt.f64 5)))))
(+.f64 3 (-.f64 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) (sqrt.f64 5)))
(-.f64 (fma.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1) 3) (sqrt.f64 5))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (cos.f64 x) (+.f64 -1 (sqrt.f64 5)) (-.f64 3 (sqrt.f64 5))))))
(+.f64 3 (-.f64 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) (sqrt.f64 5)))
(-.f64 (fma.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1) 3) (sqrt.f64 5))
(cbrt.f64 (pow.f64 (fma.f64 (cos.f64 x) (+.f64 -1 (sqrt.f64 5)) (-.f64 3 (sqrt.f64 5))) 3))
(+.f64 3 (-.f64 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) (sqrt.f64 5)))
(-.f64 (fma.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1) 3) (sqrt.f64 5))
(expm1.f64 (log1p.f64 (fma.f64 (cos.f64 x) (+.f64 -1 (sqrt.f64 5)) (-.f64 3 (sqrt.f64 5)))))
(+.f64 3 (-.f64 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) (sqrt.f64 5)))
(-.f64 (fma.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1) 3) (sqrt.f64 5))
(exp.f64 (log.f64 (fma.f64 (cos.f64 x) (+.f64 -1 (sqrt.f64 5)) (-.f64 3 (sqrt.f64 5)))))
(+.f64 3 (-.f64 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) (sqrt.f64 5)))
(-.f64 (fma.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1) 3) (sqrt.f64 5))
(exp.f64 (*.f64 (log.f64 (fma.f64 (cos.f64 x) (+.f64 -1 (sqrt.f64 5)) (-.f64 3 (sqrt.f64 5)))) 1))
(+.f64 3 (-.f64 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) (sqrt.f64 5)))
(-.f64 (fma.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1) 3) (sqrt.f64 5))
(log1p.f64 (expm1.f64 (fma.f64 (cos.f64 x) (+.f64 -1 (sqrt.f64 5)) (-.f64 3 (sqrt.f64 5)))))
(+.f64 3 (-.f64 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) (sqrt.f64 5)))
(-.f64 (fma.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1) 3) (sqrt.f64 5))
(fma.f64 (cos.f64 x) (+.f64 -1 (sqrt.f64 5)) (-.f64 3 (sqrt.f64 5)))
(+.f64 3 (-.f64 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) (sqrt.f64 5)))
(-.f64 (fma.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1) 3) (sqrt.f64 5))
(fma.f64 (+.f64 -1 (sqrt.f64 5)) (cos.f64 x) (-.f64 3 (sqrt.f64 5)))
(+.f64 3 (-.f64 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) (sqrt.f64 5)))
(-.f64 (fma.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1) 3) (sqrt.f64 5))
(fma.f64 1 (-.f64 3 (sqrt.f64 5)) (*.f64 (cos.f64 x) (+.f64 -1 (sqrt.f64 5))))
(+.f64 3 (-.f64 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) (sqrt.f64 5)))
(-.f64 (fma.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1) 3) (sqrt.f64 5))
(fma.f64 1 (*.f64 (cos.f64 x) (+.f64 -1 (sqrt.f64 5))) (-.f64 3 (sqrt.f64 5)))
(+.f64 3 (-.f64 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) (sqrt.f64 5)))
(-.f64 (fma.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1) 3) (sqrt.f64 5))
(fma.f64 (sqrt.f64 (-.f64 3 (sqrt.f64 5))) (sqrt.f64 (-.f64 3 (sqrt.f64 5))) (*.f64 (cos.f64 x) (+.f64 -1 (sqrt.f64 5))))
(+.f64 3 (-.f64 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) (sqrt.f64 5)))
(-.f64 (fma.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1) 3) (sqrt.f64 5))
(fma.f64 (sqrt.f64 (.f64 (cos.f64 x) (+.f64 -1 (sqrt.f64 5)))) (sqrt.f64 (.f64 (cos.f64 x) (+.f64 -1 (sqrt.f64 5)))) (-.f64 3 (sqrt.f64 5)))
(+.f64 3 (-.f64 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) (sqrt.f64 5)))
(-.f64 (fma.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1) 3) (sqrt.f64 5))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 3 (sqrt.f64 5))) 2) (cbrt.f64 (-.f64 3 (sqrt.f64 5))) (*.f64 (cos.f64 x) (+.f64 -1 (sqrt.f64 5))))
(+.f64 3 (-.f64 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) (sqrt.f64 5)))
(-.f64 (fma.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1) 3) (sqrt.f64 5))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 x) (+.f64 -1 (sqrt.f64 5)))) 2) (cbrt.f64 (.f64 (cos.f64 x) (+.f64 -1 (sqrt.f64 5)))) (-.f64 3 (sqrt.f64 5)))
(+.f64 3 (-.f64 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) (sqrt.f64 5)))
(-.f64 (fma.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1) 3) (sqrt.f64 5))

localize132.0ms (0.4%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 252 to 170 computations (32.5% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	y	@	-inf	(.f64 (sqrt.f64 2) (.f64 -1/16 (sin.f64 y)))
0.0ms	y	@	inf	(.f64 (sqrt.f64 2) (.f64 -1/16 (sin.f64 y)))
0.0ms	y	@	0	(.f64 (sqrt.f64 2) (.f64 -1/16 (sin.f64 y)))

rewrite54.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1772×	`add-sqr-sqrt`
1748×	`*-un-lft-identity`
1628×	`add-cube-cbrt`
1610×	`add-cbrt-cube`
186×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	21
1	199	21
2	2210	21

Stop Event

1×	node limit

Counts

1 → 13

Calls

Call 1

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

Outputs

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

simplify67.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1474×	`fma-def`
1278×	`distribute-lft-out`
1080×	`associate-r`
992×	`associate-l`
882×	`log-prod`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	63	659
1	162	659
2	511	637
3	3183	605
4	6784	605

Stop Event

1×	node limit

Counts

25 → 32

Calls

Call 1

Inputs
(.f64 -1/16 (.f64 (sqrt.f64 2) y))
(+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) y)) (.f64 1/96 (.f64 (sqrt.f64 2) (pow.f64 y 3))))
(+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) y)) (+.f64 (.f64 1/96 (.f64 (sqrt.f64 2) (pow.f64 y 3))) (.f64 -1/1920 (.f64 (sqrt.f64 2) (pow.f64 y 5)))))
(+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) y)) (+.f64 (.f64 1/96 (.f64 (sqrt.f64 2) (pow.f64 y 3))) (+.f64 (.f64 1/80640 (.f64 (sqrt.f64 2) (pow.f64 y 7))) (.f64 -1/1920 (.f64 (sqrt.f64 2) (pow.f64 y 5))))))
(.f64 -1/16 (.f64 (sqrt.f64 2) (sin.f64 y)))
(.f64 -1/16 (.f64 (sqrt.f64 2) (sin.f64 y)))
(.f64 -1/16 (.f64 (sqrt.f64 2) (sin.f64 y)))
(.f64 -1/16 (.f64 (sqrt.f64 2) (sin.f64 y)))
(.f64 -1/16 (.f64 (sqrt.f64 2) (sin.f64 y)))
(.f64 -1/16 (.f64 (sqrt.f64 2) (sin.f64 y)))
(.f64 -1/16 (.f64 (sqrt.f64 2) (sin.f64 y)))
(.f64 -1/16 (.f64 (sqrt.f64 2) (sin.f64 y)))
(-.f64 (exp.f64 (log1p.f64 (.f64 (sqrt.f64 2) (.f64 -1/16 (sin.f64 y))))) 1)
(pow.f64 (.f64 (sqrt.f64 2) (.f64 -1/16 (sin.f64 y))) 1)
(pow.f64 (sqrt.f64 (.f64 (sqrt.f64 2) (.f64 -1/16 (sin.f64 y)))) 2)
(pow.f64 (cbrt.f64 (.f64 (sqrt.f64 2) (.f64 -1/16 (sin.f64 y)))) 3)
(pow.f64 (pow.f64 (.f64 (sqrt.f64 2) (.f64 -1/16 (sin.f64 y))) 3) 1/3)
(sqrt.f64 (.f64 2 (pow.f64 (.f64 -1/16 (sin.f64 y)) 2)))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 2)) (*.f64 -1/16 (sin.f64 y))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (sqrt.f64 2) (.f64 -1/16 (sin.f64 y))))))
(cbrt.f64 (pow.f64 (.f64 (sqrt.f64 2) (.f64 -1/16 (sin.f64 y))) 3))
(expm1.f64 (log1p.f64 (.f64 (sqrt.f64 2) (.f64 -1/16 (sin.f64 y)))))
(exp.f64 (log.f64 (.f64 (sqrt.f64 2) (.f64 -1/16 (sin.f64 y)))))
(exp.f64 (.f64 (log.f64 (.f64 (sqrt.f64 2) (*.f64 -1/16 (sin.f64 y)))) 1))
(log1p.f64 (expm1.f64 (.f64 (sqrt.f64 2) (.f64 -1/16 (sin.f64 y)))))

Outputs
(.f64 -1/16 (.f64 (sqrt.f64 2) y))
(+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) y)) (.f64 1/96 (.f64 (sqrt.f64 2) (pow.f64 y 3))))
(fma.f64 -1/16 (.f64 (sqrt.f64 2) y) (.f64 1/96 (*.f64 (sqrt.f64 2) (pow.f64 y 3))))
(fma.f64 -1/16 (.f64 (sqrt.f64 2) y) (.f64 (pow.f64 y 3) (*.f64 (sqrt.f64 2) 1/96)))
(.f64 (sqrt.f64 2) (+.f64 (.f64 -1/16 y) (*.f64 1/96 (pow.f64 y 3))))
(.f64 (sqrt.f64 2) (fma.f64 -1/16 y (.f64 1/96 (pow.f64 y 3))))
(+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) y)) (+.f64 (.f64 1/96 (.f64 (sqrt.f64 2) (pow.f64 y 3))) (.f64 -1/1920 (.f64 (sqrt.f64 2) (pow.f64 y 5)))))
(fma.f64 -1/16 (.f64 (sqrt.f64 2) y) (fma.f64 1/96 (.f64 (sqrt.f64 2) (pow.f64 y 3)) (.f64 -1/1920 (.f64 (sqrt.f64 2) (pow.f64 y 5)))))
(fma.f64 -1/16 (.f64 (sqrt.f64 2) y) (fma.f64 -1/1920 (.f64 (sqrt.f64 2) (pow.f64 y 5)) (.f64 (pow.f64 y 3) (.f64 (sqrt.f64 2) 1/96))))
(fma.f64 -1/16 (.f64 (sqrt.f64 2) y) (.f64 (sqrt.f64 2) (+.f64 (.f64 1/96 (pow.f64 y 3)) (.f64 -1/1920 (pow.f64 y 5)))))
(.f64 (sqrt.f64 2) (+.f64 (fma.f64 -1/16 y (.f64 1/96 (pow.f64 y 3))) (*.f64 -1/1920 (pow.f64 y 5))))
(+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) y)) (+.f64 (.f64 1/96 (.f64 (sqrt.f64 2) (pow.f64 y 3))) (+.f64 (.f64 1/80640 (.f64 (sqrt.f64 2) (pow.f64 y 7))) (.f64 -1/1920 (.f64 (sqrt.f64 2) (pow.f64 y 5))))))
(fma.f64 -1/16 (.f64 (sqrt.f64 2) y) (fma.f64 1/96 (.f64 (sqrt.f64 2) (pow.f64 y 3)) (fma.f64 1/80640 (.f64 (sqrt.f64 2) (pow.f64 y 7)) (.f64 -1/1920 (*.f64 (sqrt.f64 2) (pow.f64 y 5))))))
(fma.f64 -1/16 (.f64 (sqrt.f64 2) y) (fma.f64 1/96 (.f64 (sqrt.f64 2) (pow.f64 y 3)) (fma.f64 -1/1920 (.f64 (sqrt.f64 2) (pow.f64 y 5)) (.f64 (sqrt.f64 2) (*.f64 (pow.f64 y 7) 1/80640)))))
(+.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 -1/16 y) (.f64 1/96 (pow.f64 y 3)))) (.f64 (sqrt.f64 2) (+.f64 (.f64 -1/1920 (pow.f64 y 5)) (.f64 1/80640 (pow.f64 y 7)))))
(.f64 (sqrt.f64 2) (+.f64 (fma.f64 -1/16 y (.f64 1/96 (pow.f64 y 3))) (fma.f64 -1/1920 (pow.f64 y 5) (*.f64 1/80640 (pow.f64 y 7)))))
(.f64 -1/16 (.f64 (sqrt.f64 2) (sin.f64 y)))
(.f64 (sin.f64 y) (.f64 -1/16 (sqrt.f64 2)))
(.f64 -1/16 (.f64 (sqrt.f64 2) (sin.f64 y)))
(.f64 (sin.f64 y) (.f64 -1/16 (sqrt.f64 2)))
(.f64 -1/16 (.f64 (sqrt.f64 2) (sin.f64 y)))
(.f64 (sin.f64 y) (.f64 -1/16 (sqrt.f64 2)))
(.f64 -1/16 (.f64 (sqrt.f64 2) (sin.f64 y)))
(.f64 (sin.f64 y) (.f64 -1/16 (sqrt.f64 2)))
(.f64 -1/16 (.f64 (sqrt.f64 2) (sin.f64 y)))
(.f64 (sin.f64 y) (.f64 -1/16 (sqrt.f64 2)))
(.f64 -1/16 (.f64 (sqrt.f64 2) (sin.f64 y)))
(.f64 (sin.f64 y) (.f64 -1/16 (sqrt.f64 2)))
(.f64 -1/16 (.f64 (sqrt.f64 2) (sin.f64 y)))
(.f64 (sin.f64 y) (.f64 -1/16 (sqrt.f64 2)))
(.f64 -1/16 (.f64 (sqrt.f64 2) (sin.f64 y)))
(.f64 (sin.f64 y) (.f64 -1/16 (sqrt.f64 2)))
(-.f64 (exp.f64 (log1p.f64 (.f64 (sqrt.f64 2) (.f64 -1/16 (sin.f64 y))))) 1)
(.f64 -1/16 (.f64 (sqrt.f64 2) (sin.f64 y)))
(.f64 (sin.f64 y) (.f64 -1/16 (sqrt.f64 2)))
(pow.f64 (.f64 (sqrt.f64 2) (.f64 -1/16 (sin.f64 y))) 1)
(.f64 -1/16 (.f64 (sqrt.f64 2) (sin.f64 y)))
(.f64 (sin.f64 y) (.f64 -1/16 (sqrt.f64 2)))
(pow.f64 (sqrt.f64 (.f64 (sqrt.f64 2) (.f64 -1/16 (sin.f64 y)))) 2)
(.f64 -1/16 (.f64 (sqrt.f64 2) (sin.f64 y)))
(.f64 (sin.f64 y) (.f64 -1/16 (sqrt.f64 2)))
(pow.f64 (cbrt.f64 (.f64 (sqrt.f64 2) (.f64 -1/16 (sin.f64 y)))) 3)
(.f64 -1/16 (.f64 (sqrt.f64 2) (sin.f64 y)))
(.f64 (sin.f64 y) (.f64 -1/16 (sqrt.f64 2)))
(pow.f64 (pow.f64 (.f64 (sqrt.f64 2) (.f64 -1/16 (sin.f64 y))) 3) 1/3)
(.f64 -1/16 (.f64 (sqrt.f64 2) (sin.f64 y)))
(.f64 (sin.f64 y) (.f64 -1/16 (sqrt.f64 2)))
(sqrt.f64 (.f64 2 (pow.f64 (.f64 -1/16 (sin.f64 y)) 2)))
(sqrt.f64 (.f64 (sin.f64 y) (.f64 (sin.f64 y) 1/128)))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 2)) (*.f64 -1/16 (sin.f64 y))))
(.f64 -1/16 (.f64 (sqrt.f64 2) (sin.f64 y)))
(.f64 (sin.f64 y) (.f64 -1/16 (sqrt.f64 2)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (sqrt.f64 2) (.f64 -1/16 (sin.f64 y))))))
(.f64 -1/16 (.f64 (sqrt.f64 2) (sin.f64 y)))
(.f64 (sin.f64 y) (.f64 -1/16 (sqrt.f64 2)))
(cbrt.f64 (pow.f64 (.f64 (sqrt.f64 2) (.f64 -1/16 (sin.f64 y))) 3))
(.f64 -1/16 (.f64 (sqrt.f64 2) (sin.f64 y)))
(.f64 (sin.f64 y) (.f64 -1/16 (sqrt.f64 2)))
(expm1.f64 (log1p.f64 (.f64 (sqrt.f64 2) (.f64 -1/16 (sin.f64 y)))))
(.f64 -1/16 (.f64 (sqrt.f64 2) (sin.f64 y)))
(.f64 (sin.f64 y) (.f64 -1/16 (sqrt.f64 2)))
(exp.f64 (log.f64 (.f64 (sqrt.f64 2) (.f64 -1/16 (sin.f64 y)))))
(.f64 -1/16 (.f64 (sqrt.f64 2) (sin.f64 y)))
(.f64 (sin.f64 y) (.f64 -1/16 (sqrt.f64 2)))
(exp.f64 (.f64 (log.f64 (.f64 (sqrt.f64 2) (*.f64 -1/16 (sin.f64 y)))) 1))
(.f64 -1/16 (.f64 (sqrt.f64 2) (sin.f64 y)))
(.f64 (sin.f64 y) (.f64 -1/16 (sqrt.f64 2)))
(log1p.f64 (expm1.f64 (.f64 (sqrt.f64 2) (.f64 -1/16 (sin.f64 y)))))
(.f64 -1/16 (.f64 (sqrt.f64 2) (sin.f64 y)))
(.f64 (sin.f64 y) (.f64 -1/16 (sqrt.f64 2)))

localize138.0ms (0.5%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 306 to 190 computations (37.9% saved)

series7.0ms (0%)

Counts

3 → 32

Calls

12 calls:

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

rewrite56.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

708×	`add-sqr-sqrt`
684×	`pow1`
684×	`*-un-lft-identity`
664×	`add-exp-log`
664×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	145
1	683	145

Stop Event

1×	node limit

Counts

3 → 50

Calls

Call 1

Inputs

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

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

(*.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))))))

Outputs

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

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

simplify155.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1320×	`associate-+l+`
1160×	`associate-+r+`
1084×	`associate-+r-`
756×	`+-commutative`
520×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	284	6142
1	820	5780
2	3225	5648
3	7853	5648

Stop Event

1×	node limit

Counts

82 → 132

Calls

Call 1

Inputs
(-.f64 (+.f64 3/2 (.f64 (cos.f64 x) (-.f64 (.f64 1/2 (sqrt.f64 5)) 1/2))) (*.f64 1/2 (sqrt.f64 5)))
(-.f64 (+.f64 3/2 (+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) (-.f64 3/2 (.f64 1/2 (sqrt.f64 5))))) (.f64 (cos.f64 x) (-.f64 (.f64 1/2 (sqrt.f64 5)) 1/2)))) (.f64 1/2 (sqrt.f64 5)))
(-.f64 (+.f64 (.f64 1/24 (.f64 (pow.f64 y 4) (-.f64 3/2 (.f64 1/2 (sqrt.f64 5))))) (+.f64 3/2 (+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) (-.f64 3/2 (.f64 1/2 (sqrt.f64 5))))) (.f64 (cos.f64 x) (-.f64 (.f64 1/2 (sqrt.f64 5)) 1/2))))) (*.f64 1/2 (sqrt.f64 5)))
(-.f64 (+.f64 (.f64 1/24 (.f64 (pow.f64 y 4) (-.f64 3/2 (.f64 1/2 (sqrt.f64 5))))) (+.f64 3/2 (+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) (-.f64 3/2 (.f64 1/2 (sqrt.f64 5))))) (+.f64 (.f64 -1/720 (.f64 (pow.f64 y 6) (-.f64 3/2 (.f64 1/2 (sqrt.f64 5))))) (.f64 (cos.f64 x) (-.f64 (.f64 1/2 (sqrt.f64 5)) 1/2)))))) (.f64 1/2 (sqrt.f64 5)))
(-.f64 (+.f64 (.f64 1/2 (sqrt.f64 5)) (.f64 (-.f64 3/2 (*.f64 1/2 (sqrt.f64 5))) (cos.f64 y))) 1/2)
(-.f64 (+.f64 (.f64 -1/2 (.f64 (pow.f64 x 2) (-.f64 (.f64 1/2 (sqrt.f64 5)) 1/2))) (+.f64 (.f64 1/2 (sqrt.f64 5)) (.f64 (-.f64 3/2 (.f64 1/2 (sqrt.f64 5))) (cos.f64 y)))) 1/2)
(-.f64 (+.f64 (.f64 -1/2 (.f64 (pow.f64 x 2) (-.f64 (.f64 1/2 (sqrt.f64 5)) 1/2))) (+.f64 (.f64 1/2 (sqrt.f64 5)) (+.f64 (.f64 1/24 (.f64 (pow.f64 x 4) (-.f64 (.f64 1/2 (sqrt.f64 5)) 1/2))) (.f64 (-.f64 3/2 (*.f64 1/2 (sqrt.f64 5))) (cos.f64 y))))) 1/2)
(-.f64 (+.f64 (.f64 -1/2 (.f64 (pow.f64 x 2) (-.f64 (.f64 1/2 (sqrt.f64 5)) 1/2))) (+.f64 (.f64 1/2 (sqrt.f64 5)) (+.f64 (.f64 1/24 (.f64 (pow.f64 x 4) (-.f64 (.f64 1/2 (sqrt.f64 5)) 1/2))) (+.f64 (.f64 (-.f64 3/2 (.f64 1/2 (sqrt.f64 5))) (cos.f64 y)) (.f64 -1/720 (.f64 (pow.f64 x 6) (-.f64 (.f64 1/2 (sqrt.f64 5)) 1/2))))))) 1/2)
(.f64 -1/16 (.f64 (sqrt.f64 2) (*.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2))))
(+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2)))) (.f64 (sqrt.f64 2) (.f64 (+.f64 (.f64 (-.f64 1 (cos.f64 y)) (sin.f64 y)) (.f64 1/256 (.f64 (-.f64 1 (cos.f64 y)) (sin.f64 y)))) x)))
(+.f64 (.f64 (sqrt.f64 2) (.f64 (+.f64 (.f64 1/32 (pow.f64 (sin.f64 y) 2)) (.f64 -1/16 (-.f64 1 (cos.f64 y)))) (pow.f64 x 2))) (+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2)))) (.f64 (sqrt.f64 2) (.f64 (+.f64 (.f64 (-.f64 1 (cos.f64 y)) (sin.f64 y)) (.f64 1/256 (.f64 (-.f64 1 (cos.f64 y)) (sin.f64 y)))) x))))
(+.f64 (.f64 (sqrt.f64 2) (.f64 (+.f64 (.f64 1/32 (pow.f64 (sin.f64 y) 2)) (.f64 -1/16 (-.f64 1 (cos.f64 y)))) (pow.f64 x 2))) (+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2)))) (+.f64 (.f64 (sqrt.f64 2) (.f64 (+.f64 (.f64 -1/16 (.f64 (+.f64 1/32 (.f64 1/96 (-.f64 1 (cos.f64 y)))) (sin.f64 y))) (+.f64 (.f64 -1/6 (.f64 (-.f64 1 (cos.f64 y)) (sin.f64 y))) (.f64 -1/2 (sin.f64 y)))) (pow.f64 x 3))) (.f64 (sqrt.f64 2) (.f64 (+.f64 (.f64 (-.f64 1 (cos.f64 y)) (sin.f64 y)) (.f64 1/256 (.f64 (-.f64 1 (cos.f64 y)) (sin.f64 y)))) x)))))
(.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x))) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (-.f64 (sin.f64 x) (*.f64 1/16 (sin.f64 y))))))
(.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x))) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (-.f64 (sin.f64 x) (*.f64 1/16 (sin.f64 y))))))
(.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x))) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (-.f64 (sin.f64 x) (*.f64 1/16 (sin.f64 y))))))
(.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x))) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (-.f64 (sin.f64 x) (*.f64 1/16 (sin.f64 y))))))
(.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))) (-.f64 (sin.f64 y) (*.f64 1/16 (sin.f64 x))))))
(.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))) (-.f64 (sin.f64 y) (*.f64 1/16 (sin.f64 x))))))
(.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))) (-.f64 (sin.f64 y) (*.f64 1/16 (sin.f64 x))))))
(.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))) (-.f64 (sin.f64 y) (*.f64 1/16 (sin.f64 x))))))
(.f64 -1/16 (.f64 (sqrt.f64 2) (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))
(+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1)))) (.f64 (sqrt.f64 2) (.f64 y (+.f64 (.f64 (sin.f64 x) (-.f64 (cos.f64 x) 1)) (.f64 1/256 (.f64 (sin.f64 x) (-.f64 (cos.f64 x) 1)))))))
(+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1)))) (+.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 y 2) (+.f64 (.f64 -1/32 (pow.f64 (sin.f64 x) 2)) (.f64 -1/16 (-.f64 (cos.f64 x) 1))))) (.f64 (sqrt.f64 2) (.f64 y (+.f64 (.f64 (sin.f64 x) (-.f64 (cos.f64 x) 1)) (.f64 1/256 (.f64 (sin.f64 x) (-.f64 (cos.f64 x) 1))))))))
(+.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 y 3) (+.f64 (.f64 -1/1536 (.f64 (sin.f64 x) (-.f64 (cos.f64 x) 1))) (+.f64 (.f64 1/512 (sin.f64 x)) (.f64 (+.f64 1/2 (.f64 -1/6 (-.f64 (cos.f64 x) 1))) (sin.f64 x)))))) (+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1)))) (+.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 y 2) (+.f64 (.f64 -1/32 (pow.f64 (sin.f64 x) 2)) (.f64 -1/16 (-.f64 (cos.f64 x) 1))))) (.f64 (sqrt.f64 2) (.f64 y (+.f64 (.f64 (sin.f64 x) (-.f64 (cos.f64 x) 1)) (.f64 1/256 (*.f64 (sin.f64 x) (-.f64 (cos.f64 x) 1)))))))))
(.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 (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 (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 (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 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))) (-.f64 (sin.f64 y) (*.f64 1/16 (sin.f64 x))))))
(.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))) (-.f64 (sin.f64 y) (*.f64 1/16 (sin.f64 x))))))
(.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))) (-.f64 (sin.f64 y) (*.f64 1/16 (sin.f64 x))))))
(.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))) (-.f64 (sin.f64 y) (*.f64 1/16 (sin.f64 x))))))
(+.f64 3/2 (*.f64 (sqrt.f64 5) -1/2))
(+.f64 3/2 (.f64 (.f64 (sqrt.f64 5) -1/2) 1))
(+.f64 (*.f64 (sqrt.f64 5) -1/2) 3/2)
(.f64 (+.f64 3/2 (.f64 (sqrt.f64 5) -1/2)) 1)
(.f64 1 (+.f64 3/2 (.f64 (sqrt.f64 5) -1/2)))
(.f64 (sqrt.f64 (+.f64 3/2 (.f64 (sqrt.f64 5) -1/2))) (sqrt.f64 (+.f64 3/2 (*.f64 (sqrt.f64 5) -1/2))))
(.f64 (cbrt.f64 (+.f64 3/2 (.f64 (sqrt.f64 5) -1/2))) (cbrt.f64 (pow.f64 (+.f64 3/2 (*.f64 (sqrt.f64 5) -1/2)) 2)))
(.f64 (cbrt.f64 (pow.f64 (+.f64 3/2 (.f64 (sqrt.f64 5) -1/2)) 2)) (cbrt.f64 (+.f64 3/2 (*.f64 (sqrt.f64 5) -1/2))))
(.f64 (-.f64 27/8 (pow.f64 (.f64 1/2 (sqrt.f64 5)) 3)) (/.f64 1 (+.f64 7/2 (*.f64 3/4 (sqrt.f64 5)))))
(.f64 (pow.f64 (+.f64 3/2 (.f64 (sqrt.f64 5) -1/2)) 1/2) (pow.f64 (+.f64 3/2 (*.f64 (sqrt.f64 5) -1/2)) 1/2))
(/.f64 1 (+.f64 3/2 (*.f64 1/2 (sqrt.f64 5))))
(/.f64 1 (/.f64 (+.f64 3/2 (*.f64 1/2 (sqrt.f64 5))) 1))
(/.f64 1 (/.f64 (+.f64 7/2 (.f64 3/4 (sqrt.f64 5))) (-.f64 27/8 (pow.f64 (.f64 1/2 (sqrt.f64 5)) 3))))
(/.f64 (-.f64 27/8 (pow.f64 (.f64 1/2 (sqrt.f64 5)) 3)) (+.f64 7/2 (.f64 3/4 (sqrt.f64 5))))
(/.f64 (-.f64 9/4 (.f64 (.f64 (sqrt.f64 5) -1/2) (.f64 (sqrt.f64 5) -1/2))) (-.f64 3/2 (.f64 (sqrt.f64 5) -1/2)))
(/.f64 (+.f64 27/8 (pow.f64 (.f64 (sqrt.f64 5) -1/2) 3)) (+.f64 9/4 (-.f64 (.f64 (.f64 (sqrt.f64 5) -1/2) (.f64 (sqrt.f64 5) -1/2)) (.f64 3/2 (.f64 (sqrt.f64 5) -1/2)))))
(pow.f64 (+.f64 3/2 (*.f64 (sqrt.f64 5) -1/2)) 1)
(log.f64 (exp.f64 (+.f64 3/2 (*.f64 (sqrt.f64 5) -1/2))))
(cbrt.f64 (.f64 (+.f64 3/2 (.f64 (sqrt.f64 5) -1/2)) (pow.f64 (+.f64 3/2 (*.f64 (sqrt.f64 5) -1/2)) 2)))
(expm1.f64 (log1p.f64 (+.f64 3/2 (*.f64 (sqrt.f64 5) -1/2))))
(exp.f64 (log.f64 (+.f64 3/2 (*.f64 (sqrt.f64 5) -1/2))))
(log1p.f64 (expm1.f64 (+.f64 3/2 (*.f64 (sqrt.f64 5) -1/2))))
(-.f64 (/.f64 (pow.f64 (.f64 (+.f64 3/2 (.f64 (sqrt.f64 5) -1/2)) (cos.f64 y)) 2) (-.f64 (.f64 (+.f64 3/2 (.f64 (sqrt.f64 5) -1/2)) (cos.f64 y)) (.f64 (cos.f64 x) (fma.f64 1/2 (sqrt.f64 5) -1/2)))) (/.f64 (pow.f64 (.f64 (cos.f64 x) (fma.f64 1/2 (sqrt.f64 5) -1/2)) 2) (-.f64 (.f64 (+.f64 3/2 (.f64 (sqrt.f64 5) -1/2)) (cos.f64 y)) (*.f64 (cos.f64 x) (fma.f64 1/2 (sqrt.f64 5) -1/2)))))
(.f64 (fma.f64 (+.f64 3/2 (.f64 (sqrt.f64 5) -1/2)) (cos.f64 y) (*.f64 (cos.f64 x) (fma.f64 1/2 (sqrt.f64 5) -1/2))) 1)
(.f64 1 (fma.f64 (+.f64 3/2 (.f64 (sqrt.f64 5) -1/2)) (cos.f64 y) (*.f64 (cos.f64 x) (fma.f64 1/2 (sqrt.f64 5) -1/2))))
(.f64 (sqrt.f64 (fma.f64 (+.f64 3/2 (.f64 (sqrt.f64 5) -1/2)) (cos.f64 y) (.f64 (cos.f64 x) (fma.f64 1/2 (sqrt.f64 5) -1/2)))) (sqrt.f64 (fma.f64 (+.f64 3/2 (.f64 (sqrt.f64 5) -1/2)) (cos.f64 y) (*.f64 (cos.f64 x) (fma.f64 1/2 (sqrt.f64 5) -1/2)))))
(.f64 (cbrt.f64 (fma.f64 (+.f64 3/2 (.f64 (sqrt.f64 5) -1/2)) (cos.f64 y) (.f64 (cos.f64 x) (fma.f64 1/2 (sqrt.f64 5) -1/2)))) (cbrt.f64 (pow.f64 (fma.f64 (+.f64 3/2 (.f64 (sqrt.f64 5) -1/2)) (cos.f64 y) (*.f64 (cos.f64 x) (fma.f64 1/2 (sqrt.f64 5) -1/2))) 2)))
(.f64 (cbrt.f64 (pow.f64 (fma.f64 (+.f64 3/2 (.f64 (sqrt.f64 5) -1/2)) (cos.f64 y) (.f64 (cos.f64 x) (fma.f64 1/2 (sqrt.f64 5) -1/2))) 2)) (cbrt.f64 (fma.f64 (+.f64 3/2 (.f64 (sqrt.f64 5) -1/2)) (cos.f64 y) (*.f64 (cos.f64 x) (fma.f64 1/2 (sqrt.f64 5) -1/2)))))
(.f64 (-.f64 (pow.f64 (.f64 (+.f64 3/2 (.f64 (sqrt.f64 5) -1/2)) (cos.f64 y)) 2) (pow.f64 (.f64 (cos.f64 x) (fma.f64 1/2 (sqrt.f64 5) -1/2)) 2)) (/.f64 1 (-.f64 (.f64 (+.f64 3/2 (.f64 (sqrt.f64 5) -1/2)) (cos.f64 y)) (*.f64 (cos.f64 x) (fma.f64 1/2 (sqrt.f64 5) -1/2)))))
(.f64 (+.f64 (pow.f64 (.f64 (+.f64 3/2 (.f64 (sqrt.f64 5) -1/2)) (cos.f64 y)) 3) (pow.f64 (.f64 (cos.f64 x) (fma.f64 1/2 (sqrt.f64 5) -1/2)) 3)) (/.f64 1 (+.f64 (pow.f64 (.f64 (+.f64 3/2 (.f64 (sqrt.f64 5) -1/2)) (cos.f64 y)) 2) (.f64 (.f64 (cos.f64 x) (fma.f64 1/2 (sqrt.f64 5) -1/2)) (-.f64 (.f64 (cos.f64 x) (fma.f64 1/2 (sqrt.f64 5) -1/2)) (.f64 (+.f64 3/2 (*.f64 (sqrt.f64 5) -1/2)) (cos.f64 y)))))))
(.f64 (pow.f64 (fma.f64 (+.f64 3/2 (.f64 (sqrt.f64 5) -1/2)) (cos.f64 y) (.f64 (cos.f64 x) (fma.f64 1/2 (sqrt.f64 5) -1/2))) 1/2) (pow.f64 (fma.f64 (+.f64 3/2 (.f64 (sqrt.f64 5) -1/2)) (cos.f64 y) (*.f64 (cos.f64 x) (fma.f64 1/2 (sqrt.f64 5) -1/2))) 1/2))
(/.f64 1 (/.f64 (-.f64 (.f64 (+.f64 3/2 (.f64 (sqrt.f64 5) -1/2)) (cos.f64 y)) (.f64 (cos.f64 x) (fma.f64 1/2 (sqrt.f64 5) -1/2))) (-.f64 (pow.f64 (.f64 (+.f64 3/2 (.f64 (sqrt.f64 5) -1/2)) (cos.f64 y)) 2) (pow.f64 (.f64 (cos.f64 x) (fma.f64 1/2 (sqrt.f64 5) -1/2)) 2))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (.f64 (+.f64 3/2 (.f64 (sqrt.f64 5) -1/2)) (cos.f64 y)) 2) (.f64 (.f64 (cos.f64 x) (fma.f64 1/2 (sqrt.f64 5) -1/2)) (-.f64 (.f64 (cos.f64 x) (fma.f64 1/2 (sqrt.f64 5) -1/2)) (.f64 (+.f64 3/2 (.f64 (sqrt.f64 5) -1/2)) (cos.f64 y))))) (+.f64 (pow.f64 (.f64 (+.f64 3/2 (.f64 (sqrt.f64 5) -1/2)) (cos.f64 y)) 3) (pow.f64 (.f64 (cos.f64 x) (fma.f64 1/2 (sqrt.f64 5) -1/2)) 3))))
(/.f64 (-.f64 (pow.f64 (.f64 (+.f64 3/2 (.f64 (sqrt.f64 5) -1/2)) (cos.f64 y)) 2) (pow.f64 (.f64 (cos.f64 x) (fma.f64 1/2 (sqrt.f64 5) -1/2)) 2)) (-.f64 (.f64 (+.f64 3/2 (.f64 (sqrt.f64 5) -1/2)) (cos.f64 y)) (.f64 (cos.f64 x) (fma.f64 1/2 (sqrt.f64 5) -1/2))))
(/.f64 (+.f64 (pow.f64 (.f64 (+.f64 3/2 (.f64 (sqrt.f64 5) -1/2)) (cos.f64 y)) 3) (pow.f64 (.f64 (cos.f64 x) (fma.f64 1/2 (sqrt.f64 5) -1/2)) 3)) (+.f64 (pow.f64 (.f64 (+.f64 3/2 (.f64 (sqrt.f64 5) -1/2)) (cos.f64 y)) 2) (.f64 (.f64 (cos.f64 x) (fma.f64 1/2 (sqrt.f64 5) -1/2)) (-.f64 (.f64 (cos.f64 x) (fma.f64 1/2 (sqrt.f64 5) -1/2)) (.f64 (+.f64 3/2 (.f64 (sqrt.f64 5) -1/2)) (cos.f64 y))))))
(/.f64 (+.f64 (pow.f64 (.f64 (+.f64 3/2 (.f64 (sqrt.f64 5) -1/2)) (cos.f64 y)) 3) (pow.f64 (.f64 (cos.f64 x) (fma.f64 1/2 (sqrt.f64 5) -1/2)) 3)) (+.f64 (pow.f64 (.f64 (cos.f64 x) (fma.f64 1/2 (sqrt.f64 5) -1/2)) 2) (-.f64 (pow.f64 (.f64 (+.f64 3/2 (.f64 (sqrt.f64 5) -1/2)) (cos.f64 y)) 2) (.f64 (+.f64 3/2 (.f64 (sqrt.f64 5) -1/2)) (.f64 (cos.f64 y) (.f64 (cos.f64 x) (fma.f64 1/2 (sqrt.f64 5) -1/2)))))))
(/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 x) (fma.f64 1/2 (sqrt.f64 5) -1/2)) 2) (pow.f64 (.f64 (+.f64 3/2 (.f64 (sqrt.f64 5) -1/2)) (cos.f64 y)) 2)) (-.f64 (.f64 (cos.f64 x) (fma.f64 1/2 (sqrt.f64 5) -1/2)) (.f64 (+.f64 3/2 (.f64 (sqrt.f64 5) -1/2)) (cos.f64 y))))
(pow.f64 (fma.f64 (+.f64 3/2 (.f64 (sqrt.f64 5) -1/2)) (cos.f64 y) (.f64 (cos.f64 x) (fma.f64 1/2 (sqrt.f64 5) -1/2))) 1)
(log.f64 (exp.f64 (fma.f64 (+.f64 3/2 (.f64 (sqrt.f64 5) -1/2)) (cos.f64 y) (.f64 (cos.f64 x) (fma.f64 1/2 (sqrt.f64 5) -1/2)))))
(cbrt.f64 (.f64 (fma.f64 (+.f64 3/2 (.f64 (sqrt.f64 5) -1/2)) (cos.f64 y) (.f64 (cos.f64 x) (fma.f64 1/2 (sqrt.f64 5) -1/2))) (pow.f64 (fma.f64 (+.f64 3/2 (.f64 (sqrt.f64 5) -1/2)) (cos.f64 y) (*.f64 (cos.f64 x) (fma.f64 1/2 (sqrt.f64 5) -1/2))) 2)))
(expm1.f64 (log1p.f64 (fma.f64 (+.f64 3/2 (.f64 (sqrt.f64 5) -1/2)) (cos.f64 y) (.f64 (cos.f64 x) (fma.f64 1/2 (sqrt.f64 5) -1/2)))))
(exp.f64 (log.f64 (fma.f64 (+.f64 3/2 (.f64 (sqrt.f64 5) -1/2)) (cos.f64 y) (.f64 (cos.f64 x) (fma.f64 1/2 (sqrt.f64 5) -1/2)))))
(log1p.f64 (expm1.f64 (fma.f64 (+.f64 3/2 (.f64 (sqrt.f64 5) -1/2)) (cos.f64 y) (.f64 (cos.f64 x) (fma.f64 1/2 (sqrt.f64 5) -1/2)))))
(fma.f64 (+.f64 3/2 (.f64 (sqrt.f64 5) -1/2)) (cos.f64 y) (.f64 (cos.f64 x) (fma.f64 1/2 (sqrt.f64 5) -1/2)))
(pow.f64 (.f64 (sqrt.f64 2) (.f64 (+.f64 (sin.f64 x) (.f64 (sin.f64 y) -1/16)) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (+.f64 (sin.f64 y) (*.f64 (sin.f64 x) -1/16))))) 1)
(log.f64 (exp.f64 (.f64 (sqrt.f64 2) (.f64 (+.f64 (sin.f64 x) (.f64 (sin.f64 y) -1/16)) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (+.f64 (sin.f64 y) (*.f64 (sin.f64 x) -1/16)))))))
(cbrt.f64 (.f64 (.f64 (sqrt.f64 2) (.f64 (+.f64 (sin.f64 x) (.f64 (sin.f64 y) -1/16)) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (+.f64 (sin.f64 y) (.f64 (sin.f64 x) -1/16))))) (.f64 2 (pow.f64 (.f64 (+.f64 (sin.f64 x) (.f64 (sin.f64 y) -1/16)) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (+.f64 (sin.f64 y) (*.f64 (sin.f64 x) -1/16)))) 2))))
(expm1.f64 (log1p.f64 (.f64 (sqrt.f64 2) (.f64 (+.f64 (sin.f64 x) (.f64 (sin.f64 y) -1/16)) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (+.f64 (sin.f64 y) (*.f64 (sin.f64 x) -1/16)))))))
(exp.f64 (log.f64 (.f64 (sqrt.f64 2) (.f64 (+.f64 (sin.f64 x) (.f64 (sin.f64 y) -1/16)) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (+.f64 (sin.f64 y) (*.f64 (sin.f64 x) -1/16)))))))
(log1p.f64 (expm1.f64 (.f64 (sqrt.f64 2) (.f64 (+.f64 (sin.f64 x) (.f64 (sin.f64 y) -1/16)) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (+.f64 (sin.f64 y) (*.f64 (sin.f64 x) -1/16)))))))

Outputs
(-.f64 (+.f64 3/2 (.f64 (cos.f64 x) (-.f64 (.f64 1/2 (sqrt.f64 5)) 1/2))) (*.f64 1/2 (sqrt.f64 5)))
(+.f64 (+.f64 3/2 (.f64 (cos.f64 x) (fma.f64 1/2 (sqrt.f64 5) -1/2))) (.f64 (sqrt.f64 5) -1/2))
(+.f64 3/2 (fma.f64 (cos.f64 x) (fma.f64 1/2 (sqrt.f64 5) -1/2) (*.f64 (sqrt.f64 5) -1/2)))
(-.f64 (+.f64 3/2 (+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) (-.f64 3/2 (.f64 1/2 (sqrt.f64 5))))) (.f64 (cos.f64 x) (-.f64 (.f64 1/2 (sqrt.f64 5)) 1/2)))) (.f64 1/2 (sqrt.f64 5)))
(+.f64 (+.f64 3/2 (fma.f64 -1/2 (.f64 (.f64 y y) (fma.f64 (sqrt.f64 5) -1/2 3/2)) (.f64 (cos.f64 x) (fma.f64 1/2 (sqrt.f64 5) -1/2)))) (.f64 (sqrt.f64 5) -1/2))
(+.f64 (fma.f64 (cos.f64 x) (fma.f64 1/2 (sqrt.f64 5) -1/2) (.f64 -1/2 (.f64 (*.f64 y y) (fma.f64 (sqrt.f64 5) -1/2 3/2)))) (fma.f64 (sqrt.f64 5) -1/2 3/2))
(+.f64 (fma.f64 (cos.f64 x) (fma.f64 1/2 (sqrt.f64 5) -1/2) 3/2) (fma.f64 (fma.f64 (sqrt.f64 5) -1/2 3/2) (.f64 -1/2 (.f64 y y)) (*.f64 (sqrt.f64 5) -1/2)))
(-.f64 (+.f64 (.f64 1/24 (.f64 (pow.f64 y 4) (-.f64 3/2 (.f64 1/2 (sqrt.f64 5))))) (+.f64 3/2 (+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) (-.f64 3/2 (.f64 1/2 (sqrt.f64 5))))) (.f64 (cos.f64 x) (-.f64 (.f64 1/2 (sqrt.f64 5)) 1/2))))) (*.f64 1/2 (sqrt.f64 5)))
(+.f64 (fma.f64 1/24 (.f64 (pow.f64 y 4) (fma.f64 (sqrt.f64 5) -1/2 3/2)) (+.f64 3/2 (fma.f64 -1/2 (.f64 (.f64 y y) (fma.f64 (sqrt.f64 5) -1/2 3/2)) (.f64 (cos.f64 x) (fma.f64 1/2 (sqrt.f64 5) -1/2))))) (*.f64 (sqrt.f64 5) -1/2))
(fma.f64 1/24 (.f64 (pow.f64 y 4) (fma.f64 (sqrt.f64 5) -1/2 3/2)) (+.f64 (fma.f64 (cos.f64 x) (fma.f64 1/2 (sqrt.f64 5) -1/2) (.f64 -1/2 (.f64 (.f64 y y) (fma.f64 (sqrt.f64 5) -1/2 3/2)))) (fma.f64 (sqrt.f64 5) -1/2 3/2)))
(fma.f64 1/24 (.f64 (pow.f64 y 4) (fma.f64 (sqrt.f64 5) -1/2 3/2)) (+.f64 (fma.f64 (cos.f64 x) (fma.f64 1/2 (sqrt.f64 5) -1/2) 3/2) (fma.f64 (fma.f64 (sqrt.f64 5) -1/2 3/2) (.f64 -1/2 (.f64 y y)) (.f64 (sqrt.f64 5) -1/2))))
(-.f64 (+.f64 (.f64 1/24 (.f64 (pow.f64 y 4) (-.f64 3/2 (.f64 1/2 (sqrt.f64 5))))) (+.f64 3/2 (+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) (-.f64 3/2 (.f64 1/2 (sqrt.f64 5))))) (+.f64 (.f64 -1/720 (.f64 (pow.f64 y 6) (-.f64 3/2 (.f64 1/2 (sqrt.f64 5))))) (.f64 (cos.f64 x) (-.f64 (.f64 1/2 (sqrt.f64 5)) 1/2)))))) (.f64 1/2 (sqrt.f64 5)))
(+.f64 (fma.f64 1/24 (.f64 (pow.f64 y 4) (fma.f64 (sqrt.f64 5) -1/2 3/2)) (+.f64 3/2 (fma.f64 -1/2 (.f64 (.f64 y y) (fma.f64 (sqrt.f64 5) -1/2 3/2)) (fma.f64 -1/720 (.f64 (pow.f64 y 6) (fma.f64 (sqrt.f64 5) -1/2 3/2)) (.f64 (cos.f64 x) (fma.f64 1/2 (sqrt.f64 5) -1/2)))))) (.f64 (sqrt.f64 5) -1/2))
(+.f64 (fma.f64 1/24 (.f64 (pow.f64 y 4) (fma.f64 (sqrt.f64 5) -1/2 3/2)) (+.f64 (.f64 (fma.f64 (sqrt.f64 5) -1/2 3/2) (+.f64 (.f64 (.f64 -1/2 y) y) (.f64 -1/720 (pow.f64 y 6)))) (fma.f64 (cos.f64 x) (fma.f64 1/2 (sqrt.f64 5) -1/2) 3/2))) (.f64 (sqrt.f64 5) -1/2))
(+.f64 (+.f64 (fma.f64 (cos.f64 x) (fma.f64 1/2 (sqrt.f64 5) -1/2) 3/2) (.f64 (fma.f64 (sqrt.f64 5) -1/2 3/2) (+.f64 (.f64 -1/2 (.f64 y y)) (.f64 -1/720 (pow.f64 y 6))))) (fma.f64 1/24 (.f64 (pow.f64 y 4) (fma.f64 (sqrt.f64 5) -1/2 3/2)) (.f64 (sqrt.f64 5) -1/2)))
(-.f64 (+.f64 (.f64 1/2 (sqrt.f64 5)) (.f64 (-.f64 3/2 (*.f64 1/2 (sqrt.f64 5))) (cos.f64 y))) 1/2)
(+.f64 (fma.f64 1/2 (sqrt.f64 5) (*.f64 (cos.f64 y) (fma.f64 (sqrt.f64 5) -1/2 3/2))) -1/2)
(fma.f64 1/2 (sqrt.f64 5) (fma.f64 (cos.f64 y) (fma.f64 (sqrt.f64 5) -1/2 3/2) -1/2))
(-.f64 (+.f64 (.f64 -1/2 (.f64 (pow.f64 x 2) (-.f64 (.f64 1/2 (sqrt.f64 5)) 1/2))) (+.f64 (.f64 1/2 (sqrt.f64 5)) (.f64 (-.f64 3/2 (.f64 1/2 (sqrt.f64 5))) (cos.f64 y)))) 1/2)
(+.f64 (fma.f64 -1/2 (.f64 (fma.f64 1/2 (sqrt.f64 5) -1/2) (.f64 x x)) (fma.f64 1/2 (sqrt.f64 5) (*.f64 (cos.f64 y) (fma.f64 (sqrt.f64 5) -1/2 3/2)))) -1/2)
(fma.f64 -1/2 (.f64 (fma.f64 1/2 (sqrt.f64 5) -1/2) (.f64 x x)) (fma.f64 1/2 (sqrt.f64 5) (fma.f64 (cos.f64 y) (fma.f64 (sqrt.f64 5) -1/2 3/2) -1/2)))
(-.f64 (+.f64 (.f64 -1/2 (.f64 (pow.f64 x 2) (-.f64 (.f64 1/2 (sqrt.f64 5)) 1/2))) (+.f64 (.f64 1/2 (sqrt.f64 5)) (+.f64 (.f64 1/24 (.f64 (pow.f64 x 4) (-.f64 (.f64 1/2 (sqrt.f64 5)) 1/2))) (.f64 (-.f64 3/2 (*.f64 1/2 (sqrt.f64 5))) (cos.f64 y))))) 1/2)
(+.f64 (fma.f64 -1/2 (.f64 (fma.f64 1/2 (sqrt.f64 5) -1/2) (.f64 x x)) (fma.f64 1/2 (sqrt.f64 5) (fma.f64 1/24 (.f64 (fma.f64 1/2 (sqrt.f64 5) -1/2) (pow.f64 x 4)) (.f64 (cos.f64 y) (fma.f64 (sqrt.f64 5) -1/2 3/2))))) -1/2)
(+.f64 -1/2 (fma.f64 -1/2 (.f64 (fma.f64 1/2 (sqrt.f64 5) -1/2) (.f64 x x)) (fma.f64 1/2 (sqrt.f64 5) (fma.f64 1/24 (.f64 (fma.f64 1/2 (sqrt.f64 5) -1/2) (pow.f64 x 4)) (.f64 (cos.f64 y) (fma.f64 (sqrt.f64 5) -1/2 3/2))))))
(+.f64 (fma.f64 1/2 (sqrt.f64 5) (fma.f64 1/24 (.f64 (fma.f64 1/2 (sqrt.f64 5) -1/2) (pow.f64 x 4)) (.f64 (cos.f64 y) (fma.f64 (sqrt.f64 5) -1/2 3/2)))) (fma.f64 (fma.f64 1/2 (sqrt.f64 5) -1/2) (.f64 -1/2 (.f64 x x)) -1/2))
(-.f64 (+.f64 (.f64 -1/2 (.f64 (pow.f64 x 2) (-.f64 (.f64 1/2 (sqrt.f64 5)) 1/2))) (+.f64 (.f64 1/2 (sqrt.f64 5)) (+.f64 (.f64 1/24 (.f64 (pow.f64 x 4) (-.f64 (.f64 1/2 (sqrt.f64 5)) 1/2))) (+.f64 (.f64 (-.f64 3/2 (.f64 1/2 (sqrt.f64 5))) (cos.f64 y)) (.f64 -1/720 (.f64 (pow.f64 x 6) (-.f64 (.f64 1/2 (sqrt.f64 5)) 1/2))))))) 1/2)
(+.f64 (fma.f64 -1/2 (.f64 (fma.f64 1/2 (sqrt.f64 5) -1/2) (.f64 x x)) (fma.f64 1/2 (sqrt.f64 5) (fma.f64 1/24 (.f64 (fma.f64 1/2 (sqrt.f64 5) -1/2) (pow.f64 x 4)) (fma.f64 (fma.f64 (sqrt.f64 5) -1/2 3/2) (cos.f64 y) (.f64 (*.f64 -1/720 (pow.f64 x 6)) (fma.f64 1/2 (sqrt.f64 5) -1/2)))))) -1/2)
(+.f64 -1/2 (fma.f64 -1/2 (.f64 (fma.f64 1/2 (sqrt.f64 5) -1/2) (.f64 x x)) (fma.f64 1/2 (sqrt.f64 5) (fma.f64 1/24 (.f64 (fma.f64 1/2 (sqrt.f64 5) -1/2) (pow.f64 x 4)) (fma.f64 (.f64 -1/720 (pow.f64 x 6)) (fma.f64 1/2 (sqrt.f64 5) -1/2) (*.f64 (cos.f64 y) (fma.f64 (sqrt.f64 5) -1/2 3/2)))))))
(fma.f64 -1/2 (.f64 (fma.f64 1/2 (sqrt.f64 5) -1/2) (.f64 x x)) (+.f64 (.f64 (fma.f64 1/2 (sqrt.f64 5) -1/2) (+.f64 (.f64 1/24 (pow.f64 x 4)) (*.f64 -1/720 (pow.f64 x 6)))) (fma.f64 1/2 (sqrt.f64 5) (fma.f64 (cos.f64 y) (fma.f64 (sqrt.f64 5) -1/2 3/2) -1/2))))
(.f64 -1/16 (.f64 (sqrt.f64 2) (*.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2))))
(.f64 -1/16 (.f64 (*.f64 (sqrt.f64 2) (pow.f64 (sin.f64 y) 2)) (-.f64 1 (cos.f64 y))))
(.f64 -1/16 (.f64 (pow.f64 (sin.f64 y) 2) (*.f64 (sqrt.f64 2) (-.f64 1 (cos.f64 y)))))
(+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2)))) (.f64 (sqrt.f64 2) (.f64 (+.f64 (.f64 (-.f64 1 (cos.f64 y)) (sin.f64 y)) (.f64 1/256 (.f64 (-.f64 1 (cos.f64 y)) (sin.f64 y)))) x)))
(fma.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2))) (.f64 (sqrt.f64 2) (.f64 x (.f64 257/256 (.f64 (-.f64 1 (cos.f64 y)) (sin.f64 y))))))
(fma.f64 -1/16 (.f64 (.f64 (sqrt.f64 2) (pow.f64 (sin.f64 y) 2)) (-.f64 1 (cos.f64 y))) (.f64 (sqrt.f64 2) (.f64 x (.f64 (.f64 257/256 (-.f64 1 (cos.f64 y))) (sin.f64 y)))))
(.f64 (sqrt.f64 2) (+.f64 (.f64 (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2)) -1/16) (.f64 x (.f64 (sin.f64 y) (.f64 257/256 (-.f64 1 (cos.f64 y)))))))
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(/.f64 1 (/.f64 (+.f64 (pow.f64 (.f64 (+.f64 3/2 (.f64 (sqrt.f64 5) -1/2)) (cos.f64 y)) 2) (.f64 (.f64 (cos.f64 x) (fma.f64 1/2 (sqrt.f64 5) -1/2)) (-.f64 (.f64 (cos.f64 x) (fma.f64 1/2 (sqrt.f64 5) -1/2)) (.f64 (+.f64 3/2 (.f64 (sqrt.f64 5) -1/2)) (cos.f64 y))))) (+.f64 (pow.f64 (.f64 (+.f64 3/2 (.f64 (sqrt.f64 5) -1/2)) (cos.f64 y)) 3) (pow.f64 (.f64 (cos.f64 x) (fma.f64 1/2 (sqrt.f64 5) -1/2)) 3))))
(.f64 (+.f64 (pow.f64 (.f64 (cos.f64 y) (fma.f64 (sqrt.f64 5) -1/2 3/2)) 3) (pow.f64 (.f64 (cos.f64 x) (fma.f64 1/2 (sqrt.f64 5) -1/2)) 3)) (/.f64 1 (+.f64 (pow.f64 (.f64 (cos.f64 y) (fma.f64 (sqrt.f64 5) -1/2 3/2)) 2) (.f64 (.f64 (cos.f64 x) (fma.f64 1/2 (sqrt.f64 5) -1/2)) (-.f64 (.f64 (cos.f64 x) (fma.f64 1/2 (sqrt.f64 5) -1/2)) (.f64 (cos.f64 y) (fma.f64 (sqrt.f64 5) -1/2 3/2)))))))
(/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 y) (fma.f64 (sqrt.f64 5) -1/2 3/2)) 3) (pow.f64 (.f64 (cos.f64 x) (fma.f64 1/2 (sqrt.f64 5) -1/2)) 3)) (fma.f64 (cos.f64 x) (.f64 (fma.f64 1/2 (sqrt.f64 5) -1/2) (-.f64 (.f64 (cos.f64 x) (fma.f64 1/2 (sqrt.f64 5) -1/2)) (.f64 (cos.f64 y) (fma.f64 (sqrt.f64 5) -1/2 3/2)))) (pow.f64 (.f64 (cos.f64 y) (fma.f64 (sqrt.f64 5) -1/2 3/2)) 2)))
(/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 y) (fma.f64 (sqrt.f64 5) -1/2 3/2)) 3) (pow.f64 (.f64 (cos.f64 x) (fma.f64 1/2 (sqrt.f64 5) -1/2)) 3)) (fma.f64 (.f64 (cos.f64 x) (fma.f64 1/2 (sqrt.f64 5) -1/2)) (-.f64 (.f64 (cos.f64 x) (fma.f64 1/2 (sqrt.f64 5) -1/2)) (.f64 (cos.f64 y) (fma.f64 (sqrt.f64 5) -1/2 3/2))) (pow.f64 (.f64 (cos.f64 y) (fma.f64 (sqrt.f64 5) -1/2 3/2)) 2)))
(/.f64 (-.f64 (pow.f64 (.f64 (+.f64 3/2 (.f64 (sqrt.f64 5) -1/2)) (cos.f64 y)) 2) (pow.f64 (.f64 (cos.f64 x) (fma.f64 1/2 (sqrt.f64 5) -1/2)) 2)) (-.f64 (.f64 (+.f64 3/2 (.f64 (sqrt.f64 5) -1/2)) (cos.f64 y)) (.f64 (cos.f64 x) (fma.f64 1/2 (sqrt.f64 5) -1/2))))
(/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 y) (fma.f64 (sqrt.f64 5) -1/2 3/2)) 2) (pow.f64 (.f64 (cos.f64 x) (fma.f64 1/2 (sqrt.f64 5) -1/2)) 2)) (-.f64 (.f64 (cos.f64 y) (fma.f64 (sqrt.f64 5) -1/2 3/2)) (.f64 (cos.f64 x) (fma.f64 1/2 (sqrt.f64 5) -1/2))))
(/.f64 (+.f64 (pow.f64 (.f64 (+.f64 3/2 (.f64 (sqrt.f64 5) -1/2)) (cos.f64 y)) 3) (pow.f64 (.f64 (cos.f64 x) (fma.f64 1/2 (sqrt.f64 5) -1/2)) 3)) (+.f64 (pow.f64 (.f64 (+.f64 3/2 (.f64 (sqrt.f64 5) -1/2)) (cos.f64 y)) 2) (.f64 (.f64 (cos.f64 x) (fma.f64 1/2 (sqrt.f64 5) -1/2)) (-.f64 (.f64 (cos.f64 x) (fma.f64 1/2 (sqrt.f64 5) -1/2)) (.f64 (+.f64 3/2 (.f64 (sqrt.f64 5) -1/2)) (cos.f64 y))))))
(.f64 (+.f64 (pow.f64 (.f64 (cos.f64 y) (fma.f64 (sqrt.f64 5) -1/2 3/2)) 3) (pow.f64 (.f64 (cos.f64 x) (fma.f64 1/2 (sqrt.f64 5) -1/2)) 3)) (/.f64 1 (+.f64 (pow.f64 (.f64 (cos.f64 y) (fma.f64 (sqrt.f64 5) -1/2 3/2)) 2) (.f64 (.f64 (cos.f64 x) (fma.f64 1/2 (sqrt.f64 5) -1/2)) (-.f64 (.f64 (cos.f64 x) (fma.f64 1/2 (sqrt.f64 5) -1/2)) (.f64 (cos.f64 y) (fma.f64 (sqrt.f64 5) -1/2 3/2)))))))
(/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 y) (fma.f64 (sqrt.f64 5) -1/2 3/2)) 3) (pow.f64 (.f64 (cos.f64 x) (fma.f64 1/2 (sqrt.f64 5) -1/2)) 3)) (fma.f64 (cos.f64 x) (.f64 (fma.f64 1/2 (sqrt.f64 5) -1/2) (-.f64 (.f64 (cos.f64 x) (fma.f64 1/2 (sqrt.f64 5) -1/2)) (.f64 (cos.f64 y) (fma.f64 (sqrt.f64 5) -1/2 3/2)))) (pow.f64 (.f64 (cos.f64 y) (fma.f64 (sqrt.f64 5) -1/2 3/2)) 2)))
(/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 y) (fma.f64 (sqrt.f64 5) -1/2 3/2)) 3) (pow.f64 (.f64 (cos.f64 x) (fma.f64 1/2 (sqrt.f64 5) -1/2)) 3)) (fma.f64 (.f64 (cos.f64 x) (fma.f64 1/2 (sqrt.f64 5) -1/2)) (-.f64 (.f64 (cos.f64 x) (fma.f64 1/2 (sqrt.f64 5) -1/2)) (.f64 (cos.f64 y) (fma.f64 (sqrt.f64 5) -1/2 3/2))) (pow.f64 (.f64 (cos.f64 y) (fma.f64 (sqrt.f64 5) -1/2 3/2)) 2)))
(/.f64 (+.f64 (pow.f64 (.f64 (+.f64 3/2 (.f64 (sqrt.f64 5) -1/2)) (cos.f64 y)) 3) (pow.f64 (.f64 (cos.f64 x) (fma.f64 1/2 (sqrt.f64 5) -1/2)) 3)) (+.f64 (pow.f64 (.f64 (cos.f64 x) (fma.f64 1/2 (sqrt.f64 5) -1/2)) 2) (-.f64 (pow.f64 (.f64 (+.f64 3/2 (.f64 (sqrt.f64 5) -1/2)) (cos.f64 y)) 2) (.f64 (+.f64 3/2 (.f64 (sqrt.f64 5) -1/2)) (.f64 (cos.f64 y) (.f64 (cos.f64 x) (fma.f64 1/2 (sqrt.f64 5) -1/2)))))))
(.f64 (+.f64 (pow.f64 (.f64 (cos.f64 y) (fma.f64 (sqrt.f64 5) -1/2 3/2)) 3) (pow.f64 (.f64 (cos.f64 x) (fma.f64 1/2 (sqrt.f64 5) -1/2)) 3)) (/.f64 1 (+.f64 (pow.f64 (.f64 (cos.f64 y) (fma.f64 (sqrt.f64 5) -1/2 3/2)) 2) (.f64 (.f64 (cos.f64 x) (fma.f64 1/2 (sqrt.f64 5) -1/2)) (-.f64 (.f64 (cos.f64 x) (fma.f64 1/2 (sqrt.f64 5) -1/2)) (.f64 (cos.f64 y) (fma.f64 (sqrt.f64 5) -1/2 3/2)))))))
(/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 y) (fma.f64 (sqrt.f64 5) -1/2 3/2)) 3) (pow.f64 (.f64 (cos.f64 x) (fma.f64 1/2 (sqrt.f64 5) -1/2)) 3)) (fma.f64 (cos.f64 x) (.f64 (fma.f64 1/2 (sqrt.f64 5) -1/2) (-.f64 (.f64 (cos.f64 x) (fma.f64 1/2 (sqrt.f64 5) -1/2)) (.f64 (cos.f64 y) (fma.f64 (sqrt.f64 5) -1/2 3/2)))) (pow.f64 (.f64 (cos.f64 y) (fma.f64 (sqrt.f64 5) -1/2 3/2)) 2)))
(/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 y) (fma.f64 (sqrt.f64 5) -1/2 3/2)) 3) (pow.f64 (.f64 (cos.f64 x) (fma.f64 1/2 (sqrt.f64 5) -1/2)) 3)) (fma.f64 (.f64 (cos.f64 x) (fma.f64 1/2 (sqrt.f64 5) -1/2)) (-.f64 (.f64 (cos.f64 x) (fma.f64 1/2 (sqrt.f64 5) -1/2)) (.f64 (cos.f64 y) (fma.f64 (sqrt.f64 5) -1/2 3/2))) (pow.f64 (.f64 (cos.f64 y) (fma.f64 (sqrt.f64 5) -1/2 3/2)) 2)))
(/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 x) (fma.f64 1/2 (sqrt.f64 5) -1/2)) 2) (pow.f64 (.f64 (+.f64 3/2 (.f64 (sqrt.f64 5) -1/2)) (cos.f64 y)) 2)) (-.f64 (.f64 (cos.f64 x) (fma.f64 1/2 (sqrt.f64 5) -1/2)) (.f64 (+.f64 3/2 (.f64 (sqrt.f64 5) -1/2)) (cos.f64 y))))
(/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 x) (fma.f64 1/2 (sqrt.f64 5) -1/2)) 2) (pow.f64 (.f64 (cos.f64 y) (fma.f64 (sqrt.f64 5) -1/2 3/2)) 2)) (-.f64 (.f64 (cos.f64 x) (fma.f64 1/2 (sqrt.f64 5) -1/2)) (.f64 (cos.f64 y) (fma.f64 (sqrt.f64 5) -1/2 3/2))))
(pow.f64 (fma.f64 (+.f64 3/2 (.f64 (sqrt.f64 5) -1/2)) (cos.f64 y) (.f64 (cos.f64 x) (fma.f64 1/2 (sqrt.f64 5) -1/2))) 1)
(fma.f64 (fma.f64 (sqrt.f64 5) -1/2 3/2) (cos.f64 y) (*.f64 (cos.f64 x) (fma.f64 1/2 (sqrt.f64 5) -1/2)))
(fma.f64 (cos.f64 y) (fma.f64 (sqrt.f64 5) -1/2 3/2) (*.f64 (cos.f64 x) (fma.f64 1/2 (sqrt.f64 5) -1/2)))
(log.f64 (exp.f64 (fma.f64 (+.f64 3/2 (.f64 (sqrt.f64 5) -1/2)) (cos.f64 y) (.f64 (cos.f64 x) (fma.f64 1/2 (sqrt.f64 5) -1/2)))))
(fma.f64 (fma.f64 (sqrt.f64 5) -1/2 3/2) (cos.f64 y) (*.f64 (cos.f64 x) (fma.f64 1/2 (sqrt.f64 5) -1/2)))
(fma.f64 (cos.f64 y) (fma.f64 (sqrt.f64 5) -1/2 3/2) (*.f64 (cos.f64 x) (fma.f64 1/2 (sqrt.f64 5) -1/2)))
(cbrt.f64 (.f64 (fma.f64 (+.f64 3/2 (.f64 (sqrt.f64 5) -1/2)) (cos.f64 y) (.f64 (cos.f64 x) (fma.f64 1/2 (sqrt.f64 5) -1/2))) (pow.f64 (fma.f64 (+.f64 3/2 (.f64 (sqrt.f64 5) -1/2)) (cos.f64 y) (*.f64 (cos.f64 x) (fma.f64 1/2 (sqrt.f64 5) -1/2))) 2)))
(fma.f64 (fma.f64 (sqrt.f64 5) -1/2 3/2) (cos.f64 y) (*.f64 (cos.f64 x) (fma.f64 1/2 (sqrt.f64 5) -1/2)))
(fma.f64 (cos.f64 y) (fma.f64 (sqrt.f64 5) -1/2 3/2) (*.f64 (cos.f64 x) (fma.f64 1/2 (sqrt.f64 5) -1/2)))
(expm1.f64 (log1p.f64 (fma.f64 (+.f64 3/2 (.f64 (sqrt.f64 5) -1/2)) (cos.f64 y) (.f64 (cos.f64 x) (fma.f64 1/2 (sqrt.f64 5) -1/2)))))
(fma.f64 (fma.f64 (sqrt.f64 5) -1/2 3/2) (cos.f64 y) (*.f64 (cos.f64 x) (fma.f64 1/2 (sqrt.f64 5) -1/2)))
(fma.f64 (cos.f64 y) (fma.f64 (sqrt.f64 5) -1/2 3/2) (*.f64 (cos.f64 x) (fma.f64 1/2 (sqrt.f64 5) -1/2)))
(exp.f64 (log.f64 (fma.f64 (+.f64 3/2 (.f64 (sqrt.f64 5) -1/2)) (cos.f64 y) (.f64 (cos.f64 x) (fma.f64 1/2 (sqrt.f64 5) -1/2)))))
(fma.f64 (fma.f64 (sqrt.f64 5) -1/2 3/2) (cos.f64 y) (*.f64 (cos.f64 x) (fma.f64 1/2 (sqrt.f64 5) -1/2)))
(fma.f64 (cos.f64 y) (fma.f64 (sqrt.f64 5) -1/2 3/2) (*.f64 (cos.f64 x) (fma.f64 1/2 (sqrt.f64 5) -1/2)))
(log1p.f64 (expm1.f64 (fma.f64 (+.f64 3/2 (.f64 (sqrt.f64 5) -1/2)) (cos.f64 y) (.f64 (cos.f64 x) (fma.f64 1/2 (sqrt.f64 5) -1/2)))))
(fma.f64 (fma.f64 (sqrt.f64 5) -1/2 3/2) (cos.f64 y) (*.f64 (cos.f64 x) (fma.f64 1/2 (sqrt.f64 5) -1/2)))
(fma.f64 (cos.f64 y) (fma.f64 (sqrt.f64 5) -1/2 3/2) (*.f64 (cos.f64 x) (fma.f64 1/2 (sqrt.f64 5) -1/2)))
(fma.f64 (+.f64 3/2 (.f64 (sqrt.f64 5) -1/2)) (cos.f64 y) (.f64 (cos.f64 x) (fma.f64 1/2 (sqrt.f64 5) -1/2)))
(fma.f64 (fma.f64 (sqrt.f64 5) -1/2 3/2) (cos.f64 y) (*.f64 (cos.f64 x) (fma.f64 1/2 (sqrt.f64 5) -1/2)))
(fma.f64 (cos.f64 y) (fma.f64 (sqrt.f64 5) -1/2 3/2) (*.f64 (cos.f64 x) (fma.f64 1/2 (sqrt.f64 5) -1/2)))
(pow.f64 (.f64 (sqrt.f64 2) (.f64 (+.f64 (sin.f64 x) (.f64 (sin.f64 y) -1/16)) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (+.f64 (sin.f64 y) (*.f64 (sin.f64 x) -1/16))))) 1)
(.f64 (.f64 (sqrt.f64 2) (-.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 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (*.f64 (fma.f64 -1/16 (sin.f64 x) (sin.f64 y)) (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)))))
(.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (*.f64 (fma.f64 -1/16 (sin.f64 x) (sin.f64 y)) (fma.f64 -1/16 (sin.f64 y) (sin.f64 x))) (sqrt.f64 2)))
(log.f64 (exp.f64 (.f64 (sqrt.f64 2) (.f64 (+.f64 (sin.f64 x) (.f64 (sin.f64 y) -1/16)) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (+.f64 (sin.f64 y) (*.f64 (sin.f64 x) -1/16)))))))
(.f64 (.f64 (sqrt.f64 2) (-.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 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (*.f64 (fma.f64 -1/16 (sin.f64 x) (sin.f64 y)) (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)))))
(.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (*.f64 (fma.f64 -1/16 (sin.f64 x) (sin.f64 y)) (fma.f64 -1/16 (sin.f64 y) (sin.f64 x))) (sqrt.f64 2)))
(cbrt.f64 (.f64 (.f64 (sqrt.f64 2) (.f64 (+.f64 (sin.f64 x) (.f64 (sin.f64 y) -1/16)) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (+.f64 (sin.f64 y) (.f64 (sin.f64 x) -1/16))))) (.f64 2 (pow.f64 (.f64 (+.f64 (sin.f64 x) (.f64 (sin.f64 y) -1/16)) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (+.f64 (sin.f64 y) (*.f64 (sin.f64 x) -1/16)))) 2))))
(cbrt.f64 (.f64 (.f64 (.f64 (sqrt.f64 2) (-.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 2 (pow.f64 (.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))))
(cbrt.f64 (.f64 2 (.f64 (pow.f64 (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (fma.f64 -1/16 (sin.f64 x) (sin.f64 y)) (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)))) 2) (.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (*.f64 (fma.f64 -1/16 (sin.f64 x) (sin.f64 y)) (fma.f64 -1/16 (sin.f64 y) (sin.f64 x))))))))
(cbrt.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (.f64 (fma.f64 -1/16 (sin.f64 x) (sin.f64 y)) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)))) 3) 2)))
(expm1.f64 (log1p.f64 (.f64 (sqrt.f64 2) (.f64 (+.f64 (sin.f64 x) (.f64 (sin.f64 y) -1/16)) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (+.f64 (sin.f64 y) (*.f64 (sin.f64 x) -1/16)))))))
(.f64 (.f64 (sqrt.f64 2) (-.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 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (*.f64 (fma.f64 -1/16 (sin.f64 x) (sin.f64 y)) (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)))))
(.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (*.f64 (fma.f64 -1/16 (sin.f64 x) (sin.f64 y)) (fma.f64 -1/16 (sin.f64 y) (sin.f64 x))) (sqrt.f64 2)))
(exp.f64 (log.f64 (.f64 (sqrt.f64 2) (.f64 (+.f64 (sin.f64 x) (.f64 (sin.f64 y) -1/16)) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (+.f64 (sin.f64 y) (*.f64 (sin.f64 x) -1/16)))))))
(.f64 (.f64 (sqrt.f64 2) (-.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 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (*.f64 (fma.f64 -1/16 (sin.f64 x) (sin.f64 y)) (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)))))
(.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (*.f64 (fma.f64 -1/16 (sin.f64 x) (sin.f64 y)) (fma.f64 -1/16 (sin.f64 y) (sin.f64 x))) (sqrt.f64 2)))
(log1p.f64 (expm1.f64 (.f64 (sqrt.f64 2) (.f64 (+.f64 (sin.f64 x) (.f64 (sin.f64 y) -1/16)) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (+.f64 (sin.f64 y) (*.f64 (sin.f64 x) -1/16)))))))
(.f64 (.f64 (sqrt.f64 2) (-.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 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (*.f64 (fma.f64 -1/16 (sin.f64 x) (sin.f64 y)) (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)))))
(.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (*.f64 (fma.f64 -1/16 (sin.f64 x) (sin.f64 y)) (fma.f64 -1/16 (sin.f64 y) (sin.f64 x))) (sqrt.f64 2)))

localize119.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.6b	(cbrt.f64 (.f64 (sqrt.f64 2) (+.f64 (sin.f64 x) (.f64 (sin.f64 y) -1/16))))
✓	0.7b	(pow.f64 (cbrt.f64 (.f64 (sqrt.f64 2) (+.f64 (sin.f64 x) (.f64 (sin.f64 y) -1/16)))) 3)
	1.0b	(-.f64 3 (sqrt.f64 5))
	1.4b	(-.f64 (cos.f64 x) (cos.f64 y))

Compiler

Compiled 306 to 207 computations (32.4% saved)

series18.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
4.0ms	y	@	0	(pow.f64 (cbrt.f64 (.f64 (sqrt.f64 2) (+.f64 (sin.f64 x) (.f64 (sin.f64 y) -1/16)))) 3)
4.0ms	x	@	0	(pow.f64 (cbrt.f64 (.f64 (sqrt.f64 2) (+.f64 (sin.f64 x) (.f64 (sin.f64 y) -1/16)))) 3)
2.0ms	x	@	inf	(pow.f64 (cbrt.f64 (.f64 (sqrt.f64 2) (+.f64 (sin.f64 x) (.f64 (sin.f64 y) -1/16)))) 3)
2.0ms	y	@	inf	(pow.f64 (cbrt.f64 (.f64 (sqrt.f64 2) (+.f64 (sin.f64 x) (.f64 (sin.f64 y) -1/16)))) 3)
2.0ms	x	@	-inf	(pow.f64 (cbrt.f64 (.f64 (sqrt.f64 2) (+.f64 (sin.f64 x) (.f64 (sin.f64 y) -1/16)))) 3)

rewrite92.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

704×	`distribute-rgt-in`
704×	`associate-*r/`
670×	`distribute-lft-in`
598×	`associate-*l/`
320×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	66
1	338	58
2	3925	58

Stop Event

1×	node limit

Counts

2 → 130

Calls

Call 1

Inputs
(pow.f64 (cbrt.f64 (.f64 (sqrt.f64 2) (+.f64 (sin.f64 x) (.f64 (sin.f64 y) -1/16)))) 3)
(cbrt.f64 (.f64 (sqrt.f64 2) (+.f64 (sin.f64 x) (.f64 (sin.f64 y) -1/16))))

Outputs

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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (*.f64 (sqrt.f64 2) (fma.f64 (sin.f64 y) -1/16 (sin.f64 x)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (sqrt.f64 2) (fma.f64 (sin.f64 y) -1/16 (sin.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (*.f64 (sqrt.f64 2) (fma.f64 (sin.f64 y) -1/16 (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (sqrt.f64 2) (fma.f64 (sin.f64 y) -1/16 (sin.f64 x))) 1/6) (pow.f64 (*.f64 (sqrt.f64 2) (fma.f64 (sin.f64 y) -1/16 (sin.f64 x))) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (sin.f64 y) -1/16 (sin.f64 x))) (cbrt.f64 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 (sqrt.f64 2) (fma.f64 (sin.f64 y) -1/16 (sin.f64 x))))) (cbrt.f64 (cbrt.f64 (*.f64 2 (pow.f64 (fma.f64 (sin.f64 y) -1/16 (sin.f64 x)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 (sqrt.f64 2) (fma.f64 (sin.f64 y) -1/16 (sin.f64 x))))) (pow.f64 (cbrt.f64 (*.f64 2 (pow.f64 (fma.f64 (sin.f64 y) -1/16 (sin.f64 x)) 2))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 2 (pow.f64 (fma.f64 (sin.f64 y) -1/16 (sin.f64 x)) 2)))) (cbrt.f64 (cbrt.f64 (*.f64 (sqrt.f64 2) (fma.f64 (sin.f64 y) -1/16 (sin.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 (fma.f64 (sin.f64 y) -1/16 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 2 (pow.f64 (fma.f64 (sin.f64 y) -1/16 (sin.f64 x)) 2))) 1/3) (cbrt.f64 (cbrt.f64 (*.f64 (sqrt.f64 2) (fma.f64 (sin.f64 y) -1/16 (sin.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (*.f64 (sqrt.f64 2) (fma.f64 (sin.f64 y) -1/16 (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 2) (fma.f64 (sin.f64 y) -1/16 (sin.f64 x)))) 1/3) (pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 2) (fma.f64 (sin.f64 y) -1/16 (sin.f64 x)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 (+.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (pow.f64 (sin.f64 y) 3) -1/4096)))) (cbrt.f64 (+.f64 (*.f64 (pow.f64 (sin.f64 y) 2) 1/256) (*.f64 (sin.f64 x) (+.f64 (sin.f64 x) (*.f64 (sin.f64 y) 1/16))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 (+.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (sin.f64 y) 2) -1/256)))) (cbrt.f64 (+.f64 (sin.f64 x) (*.f64 (sin.f64 y) 1/16))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (pow.f64 (sin.f64 y) 3) -1/4096))) (cbrt.f64 (sqrt.f64 2))) (cbrt.f64 (+.f64 (*.f64 (pow.f64 (sin.f64 y) 2) 1/256) (*.f64 (sin.f64 x) (+.f64 (sin.f64 x) (*.f64 (sin.f64 y) 1/16))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (sin.f64 y) 2) -1/256))) (cbrt.f64 (sqrt.f64 2))) (cbrt.f64 (+.f64 (sin.f64 x) (*.f64 (sin.f64 y) 1/16))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 2) (fma.f64 (sin.f64 y) -1/16 (sin.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 2) (fma.f64 (sin.f64 y) -1/16 (sin.f64 x))) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sqrt.f64 2) (fma.f64 (sin.f64 y) -1/16 (sin.f64 x))) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (sqrt.f64 2) (fma.f64 (sin.f64 y) -1/16 (sin.f64 x))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (cbrt.f64 (*.f64 2 (pow.f64 (fma.f64 (sin.f64 y) -1/16 (sin.f64 x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (*.f64 (sqrt.f64 2) (fma.f64 (sin.f64 y) -1/16 (sin.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (*.f64 (sqrt.f64 2) (fma.f64 (sin.f64 y) -1/16 (sin.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 (sqrt.f64 2) (fma.f64 (sin.f64 y) -1/16 (sin.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (*.f64 (sqrt.f64 2) (fma.f64 (sin.f64 y) -1/16 (sin.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (sqrt.f64 2) (fma.f64 (sin.f64 y) -1/16 (sin.f64 x))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 2) (fma.f64 (sin.f64 y) -1/16 (sin.f64 x)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 (sqrt.f64 2) (fma.f64 (sin.f64 y) -1/16 (sin.f64 x))))))))))

simplify155.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1068×	`associate-r`
992×	`associate-l`
798×	`associate-+r+`
728×	`*-commutative`
726×	`associate-+l+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	563	14396
1	1692	13334
2	6723	13334

Stop Event

1×	node limit

Counts

178 → 227

Calls

Call 1

Inputs
(.f64 -1/16 (.f64 (*.f64 (sqrt.f64 2) (sin.f64 y)) (pow.f64 1 1/3)))
(+.f64 (.f64 (+.f64 (.f64 1/3 (.f64 (pow.f64 (.f64 (pow.f64 (sqrt.f64 2) 13) (.f64 (pow.f64 1 4) (pow.f64 (sin.f64 y) 4))) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1/16) 4) 1/3))) (.f64 2/3 (.f64 (pow.f64 (.f64 (pow.f64 (sqrt.f64 2) 13) (.f64 (pow.f64 1 4) (pow.f64 (sin.f64 y) 4))) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1/16) 4) 1/3)))) x) (.f64 -1/16 (.f64 (.f64 (sqrt.f64 2) (sin.f64 y)) (pow.f64 1 1/3))))
(+.f64 (.f64 (+.f64 (.f64 1/3 (.f64 (pow.f64 (.f64 (pow.f64 (sqrt.f64 2) 13) (.f64 (pow.f64 1 4) (pow.f64 (sin.f64 y) 4))) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1/16) 4) 1/3))) (.f64 2/3 (.f64 (pow.f64 (.f64 (pow.f64 (sqrt.f64 2) 13) (.f64 (pow.f64 1 4) (pow.f64 (sin.f64 y) 4))) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1/16) 4) 1/3)))) x) (+.f64 (.f64 (+.f64 (.f64 (pow.f64 (.f64 (sqrt.f64 2) (.f64 1 (sin.f64 y))) 1/3) (.f64 (+.f64 (.f64 1/9 (.f64 (pow.f64 (/.f64 (.f64 (pow.f64 (sqrt.f64 2) 14) (pow.f64 1 4)) (pow.f64 (sin.f64 y) 4)) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/16) 4)) 1/3))) (.f64 -2/9 (.f64 (pow.f64 (/.f64 (.f64 (pow.f64 (sqrt.f64 2) 14) (pow.f64 1 4)) (pow.f64 (sin.f64 y) 4)) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/16) 4)) 1/3)))) (cbrt.f64 -1/16))) (+.f64 (.f64 -1/9 (.f64 (pow.f64 (/.f64 (.f64 (pow.f64 (sqrt.f64 2) 17) (pow.f64 1 4)) (sin.f64 y)) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 -1/16)) 1/3))) (.f64 2/9 (.f64 (pow.f64 (/.f64 (.f64 (pow.f64 (sqrt.f64 2) 17) (pow.f64 1 4)) (sin.f64 y)) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 -1/16)) 1/3))))) (pow.f64 x 2)) (.f64 -1/16 (.f64 (*.f64 (sqrt.f64 2) (sin.f64 y)) (pow.f64 1 1/3)))))
(+.f64 (.f64 (+.f64 (.f64 1/3 (.f64 (-.f64 (.f64 -1/6 (sqrt.f64 2)) (+.f64 (.f64 -2/9 (.f64 (pow.f64 (/.f64 (pow.f64 (sqrt.f64 2) 7) (pow.f64 (sin.f64 y) 2)) 1/3) (.f64 (pow.f64 (pow.f64 1 4) 1/9) (/.f64 1 (pow.f64 (cbrt.f64 -1/16) 2))))) (.f64 1/27 (.f64 (pow.f64 (/.f64 (.f64 (pow.f64 (sqrt.f64 2) 7) 1) (pow.f64 (sin.f64 y) 2)) 1/3) (/.f64 1 (pow.f64 (cbrt.f64 -1/16) 2)))))) (pow.f64 1 1/3))) (+.f64 (.f64 (pow.f64 (.f64 (sqrt.f64 2) (.f64 1 (sin.f64 y))) 1/3) (.f64 (+.f64 (.f64 32/27 (.f64 (/.f64 (pow.f64 (sqrt.f64 2) 2) (sin.f64 y)) (pow.f64 1 1/9))) (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (.f64 (sqrt.f64 2) (sin.f64 y))) 1/3) (/.f64 (-.f64 (.f64 -1/6 (sqrt.f64 2)) (+.f64 (.f64 -2/9 (.f64 (pow.f64 (/.f64 (pow.f64 (sqrt.f64 2) 7) (pow.f64 (sin.f64 y) 2)) 1/3) (.f64 (pow.f64 (pow.f64 1 4) 1/9) (/.f64 1 (pow.f64 (cbrt.f64 -1/16) 2))))) (.f64 1/27 (.f64 (pow.f64 (/.f64 (.f64 (pow.f64 (sqrt.f64 2) 7) 1) (pow.f64 (sin.f64 y) 2)) 1/3) (/.f64 1 (pow.f64 (cbrt.f64 -1/16) 2)))))) (cbrt.f64 -1/16))))) (cbrt.f64 -1/16))) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 (.f64 (pow.f64 (sqrt.f64 2) 7) (pow.f64 1 4)) (pow.f64 (sin.f64 y) 2)) 1/9) (.f64 (+.f64 (.f64 1/9 (.f64 (pow.f64 (/.f64 (.f64 (pow.f64 (sqrt.f64 2) 14) (pow.f64 1 4)) (pow.f64 (sin.f64 y) 4)) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/16) 4)) 1/3))) (.f64 -2/9 (.f64 (pow.f64 (/.f64 (.f64 (pow.f64 (sqrt.f64 2) 14) (pow.f64 1 4)) (pow.f64 (sin.f64 y) 4)) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/16) 4)) 1/3)))) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/16) 2)) 1/3)))) (.f64 -2/27 (.f64 (pow.f64 (/.f64 (pow.f64 (sqrt.f64 2) 7) (pow.f64 (sin.f64 y) 2)) 1/3) (.f64 (pow.f64 (pow.f64 1 4) 1/9) (/.f64 1 (pow.f64 (cbrt.f64 -1/16) 2)))))))) (pow.f64 x 3)) (+.f64 (.f64 (+.f64 (.f64 1/3 (.f64 (pow.f64 (.f64 (pow.f64 (sqrt.f64 2) 13) (.f64 (pow.f64 1 4) (pow.f64 (sin.f64 y) 4))) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1/16) 4) 1/3))) (.f64 2/3 (.f64 (pow.f64 (.f64 (pow.f64 (sqrt.f64 2) 13) (.f64 (pow.f64 1 4) (pow.f64 (sin.f64 y) 4))) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1/16) 4) 1/3)))) x) (+.f64 (.f64 (+.f64 (.f64 (pow.f64 (.f64 (sqrt.f64 2) (.f64 1 (sin.f64 y))) 1/3) (.f64 (+.f64 (.f64 1/9 (.f64 (pow.f64 (/.f64 (.f64 (pow.f64 (sqrt.f64 2) 14) (pow.f64 1 4)) (pow.f64 (sin.f64 y) 4)) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/16) 4)) 1/3))) (.f64 -2/9 (.f64 (pow.f64 (/.f64 (.f64 (pow.f64 (sqrt.f64 2) 14) (pow.f64 1 4)) (pow.f64 (sin.f64 y) 4)) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/16) 4)) 1/3)))) (cbrt.f64 -1/16))) (+.f64 (.f64 -1/9 (.f64 (pow.f64 (/.f64 (.f64 (pow.f64 (sqrt.f64 2) 17) (pow.f64 1 4)) (sin.f64 y)) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 -1/16)) 1/3))) (.f64 2/9 (.f64 (pow.f64 (/.f64 (.f64 (pow.f64 (sqrt.f64 2) 17) (pow.f64 1 4)) (sin.f64 y)) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 -1/16)) 1/3))))) (pow.f64 x 2)) (.f64 -1/16 (.f64 (.f64 (sqrt.f64 2) (sin.f64 y)) (pow.f64 1 1/3))))))
(.f64 (.f64 (sqrt.f64 2) (+.f64 (*.f64 -1/16 (sin.f64 y)) (sin.f64 x))) (pow.f64 1 1/3))
(.f64 (.f64 (sqrt.f64 2) (+.f64 (*.f64 -1/16 (sin.f64 y)) (sin.f64 x))) (pow.f64 1 1/3))
(.f64 (.f64 (sqrt.f64 2) (+.f64 (*.f64 -1/16 (sin.f64 y)) (sin.f64 x))) (pow.f64 1 1/3))
(.f64 (.f64 (sqrt.f64 2) (+.f64 (*.f64 -1/16 (sin.f64 y)) (sin.f64 x))) (pow.f64 1 1/3))
(.f64 (.f64 (sqrt.f64 2) (+.f64 (*.f64 -1/16 (sin.f64 y)) (sin.f64 x))) (pow.f64 1 1/3))
(.f64 (.f64 (sqrt.f64 2) (+.f64 (*.f64 -1/16 (sin.f64 y)) (sin.f64 x))) (pow.f64 1 1/3))
(.f64 (.f64 (sqrt.f64 2) (+.f64 (*.f64 -1/16 (sin.f64 y)) (sin.f64 x))) (pow.f64 1 1/3))
(.f64 (.f64 (sqrt.f64 2) (+.f64 (*.f64 -1/16 (sin.f64 y)) (sin.f64 x))) (pow.f64 1 1/3))
(.f64 (.f64 (sqrt.f64 2) (sin.f64 x)) (pow.f64 1 1/3))
(+.f64 (.f64 y (+.f64 (.f64 -1/24 (pow.f64 (.f64 (pow.f64 (sqrt.f64 2) 13) (.f64 1 (pow.f64 (sin.f64 x) 4))) 1/9)) (.f64 -1/48 (pow.f64 (.f64 (pow.f64 (sqrt.f64 2) 13) (.f64 1 (pow.f64 (sin.f64 x) 4))) 1/9)))) (.f64 (*.f64 (sqrt.f64 2) (sin.f64 x)) (pow.f64 1 1/3)))
(+.f64 (.f64 y (+.f64 (.f64 -1/24 (pow.f64 (.f64 (pow.f64 (sqrt.f64 2) 13) (.f64 1 (pow.f64 (sin.f64 x) 4))) 1/9)) (.f64 -1/48 (pow.f64 (.f64 (pow.f64 (sqrt.f64 2) 13) (.f64 1 (pow.f64 (sin.f64 x) 4))) 1/9)))) (+.f64 (.f64 (.f64 (sqrt.f64 2) (sin.f64 x)) (pow.f64 1 1/3)) (.f64 (+.f64 (.f64 1/1152 (pow.f64 (/.f64 (.f64 (pow.f64 (sqrt.f64 2) 17) 1) (sin.f64 x)) 1/9)) (+.f64 (.f64 (pow.f64 (.f64 (sqrt.f64 2) (.f64 1 (sin.f64 x))) 1/3) (+.f64 (.f64 1/2304 (pow.f64 (/.f64 (.f64 (pow.f64 (sqrt.f64 2) 14) 1) (pow.f64 (sin.f64 x) 4)) 1/9)) (.f64 -1/1152 (pow.f64 (/.f64 (.f64 (pow.f64 (sqrt.f64 2) 14) 1) (pow.f64 (sin.f64 x) 4)) 1/9)))) (.f64 -1/2304 (pow.f64 (/.f64 (*.f64 (pow.f64 (sqrt.f64 2) 17) 1) (sin.f64 x)) 1/9)))) (pow.f64 y 2))))
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(.f64 (pow.f64 1 1/3) (cbrt.f64 (.f64 (sqrt.f64 2) (fma.f64 (sin.f64 y) -1/16 (sin.f64 x)))))
(.f64 (pow.f64 (sqrt.f64 (.f64 (sqrt.f64 2) (fma.f64 (sin.f64 y) -1/16 (sin.f64 x)))) 1/3) (pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 2) (fma.f64 (sin.f64 y) -1/16 (sin.f64 x)))) 1/3))
(/.f64 (.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 (+.f64 (pow.f64 (sin.f64 x) 3) (.f64 (pow.f64 (sin.f64 y) 3) -1/4096)))) (cbrt.f64 (+.f64 (.f64 (pow.f64 (sin.f64 y) 2) 1/256) (.f64 (sin.f64 x) (+.f64 (sin.f64 x) (*.f64 (sin.f64 y) 1/16))))))
(/.f64 (.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 (+.f64 (pow.f64 (sin.f64 x) 2) (.f64 (pow.f64 (sin.f64 y) 2) -1/256)))) (cbrt.f64 (+.f64 (sin.f64 x) (*.f64 (sin.f64 y) 1/16))))
(/.f64 (.f64 (cbrt.f64 (+.f64 (pow.f64 (sin.f64 x) 3) (.f64 (pow.f64 (sin.f64 y) 3) -1/4096))) (cbrt.f64 (sqrt.f64 2))) (cbrt.f64 (+.f64 (.f64 (pow.f64 (sin.f64 y) 2) 1/256) (.f64 (sin.f64 x) (+.f64 (sin.f64 x) (*.f64 (sin.f64 y) 1/16))))))
(/.f64 (.f64 (cbrt.f64 (+.f64 (pow.f64 (sin.f64 x) 2) (.f64 (pow.f64 (sin.f64 y) 2) -1/256))) (cbrt.f64 (sqrt.f64 2))) (cbrt.f64 (+.f64 (sin.f64 x) (*.f64 (sin.f64 y) 1/16))))
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 2) (fma.f64 (sin.f64 y) -1/16 (sin.f64 x)))) 1)
(pow.f64 (*.f64 (sqrt.f64 2) (fma.f64 (sin.f64 y) -1/16 (sin.f64 x))) 1/3)
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 2) (fma.f64 (sin.f64 y) -1/16 (sin.f64 x))) 1/6) 2)
(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (sqrt.f64 2) (fma.f64 (sin.f64 y) -1/16 (sin.f64 x))))) 3)
(sqrt.f64 (cbrt.f64 (*.f64 2 (pow.f64 (fma.f64 (sin.f64 y) -1/16 (sin.f64 x)) 2))))
(log.f64 (exp.f64 (cbrt.f64 (*.f64 (sqrt.f64 2) (fma.f64 (sin.f64 y) -1/16 (sin.f64 x))))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (*.f64 (sqrt.f64 2) (fma.f64 (sin.f64 y) -1/16 (sin.f64 x)))))))
(expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 (sqrt.f64 2) (fma.f64 (sin.f64 y) -1/16 (sin.f64 x))))))
(exp.f64 (log.f64 (cbrt.f64 (*.f64 (sqrt.f64 2) (fma.f64 (sin.f64 y) -1/16 (sin.f64 x))))))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (sqrt.f64 2) (fma.f64 (sin.f64 y) -1/16 (sin.f64 x))))) 1))
(exp.f64 (.f64 (log.f64 (.f64 (sqrt.f64 2) (fma.f64 (sin.f64 y) -1/16 (sin.f64 x)))) 1/3))
(log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 (sqrt.f64 2) (fma.f64 (sin.f64 y) -1/16 (sin.f64 x))))))

Outputs
(.f64 -1/16 (.f64 (*.f64 (sqrt.f64 2) (sin.f64 y)) (pow.f64 1 1/3)))
(.f64 -1/16 (.f64 (sqrt.f64 2) (sin.f64 y)))
(+.f64 (.f64 (+.f64 (.f64 1/3 (.f64 (pow.f64 (.f64 (pow.f64 (sqrt.f64 2) 13) (.f64 (pow.f64 1 4) (pow.f64 (sin.f64 y) 4))) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1/16) 4) 1/3))) (.f64 2/3 (.f64 (pow.f64 (.f64 (pow.f64 (sqrt.f64 2) 13) (.f64 (pow.f64 1 4) (pow.f64 (sin.f64 y) 4))) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1/16) 4) 1/3)))) x) (.f64 -1/16 (.f64 (.f64 (sqrt.f64 2) (sin.f64 y)) (pow.f64 1 1/3))))
(fma.f64 (.f64 (.f64 (.f64 (pow.f64 (.f64 (pow.f64 (sqrt.f64 2) 13) (pow.f64 (sin.f64 y) 4)) 1/18) (pow.f64 (.f64 (pow.f64 (sqrt.f64 2) 13) (pow.f64 (sin.f64 y) 4)) 1/18)) (cbrt.f64 (pow.f64 (cbrt.f64 -1/16) 4))) 1) x (.f64 -1/16 (*.f64 (sqrt.f64 2) (sin.f64 y))))
(fma.f64 (.f64 (.f64 (pow.f64 (.f64 (pow.f64 (sqrt.f64 2) 13) (pow.f64 (sin.f64 y) 4)) 1/18) (pow.f64 (.f64 (pow.f64 (sqrt.f64 2) 13) (pow.f64 (sin.f64 y) 4)) 1/18)) (cbrt.f64 (pow.f64 (cbrt.f64 -1/16) 4))) x (.f64 -1/16 (.f64 (sqrt.f64 2) (sin.f64 y))))
(+.f64 (.f64 (+.f64 (.f64 1/3 (.f64 (pow.f64 (.f64 (pow.f64 (sqrt.f64 2) 13) (.f64 (pow.f64 1 4) (pow.f64 (sin.f64 y) 4))) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1/16) 4) 1/3))) (.f64 2/3 (.f64 (pow.f64 (.f64 (pow.f64 (sqrt.f64 2) 13) (.f64 (pow.f64 1 4) (pow.f64 (sin.f64 y) 4))) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1/16) 4) 1/3)))) x) (+.f64 (.f64 (+.f64 (.f64 (pow.f64 (.f64 (sqrt.f64 2) (.f64 1 (sin.f64 y))) 1/3) (.f64 (+.f64 (.f64 1/9 (.f64 (pow.f64 (/.f64 (.f64 (pow.f64 (sqrt.f64 2) 14) (pow.f64 1 4)) (pow.f64 (sin.f64 y) 4)) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/16) 4)) 1/3))) (.f64 -2/9 (.f64 (pow.f64 (/.f64 (.f64 (pow.f64 (sqrt.f64 2) 14) (pow.f64 1 4)) (pow.f64 (sin.f64 y) 4)) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/16) 4)) 1/3)))) (cbrt.f64 -1/16))) (+.f64 (.f64 -1/9 (.f64 (pow.f64 (/.f64 (.f64 (pow.f64 (sqrt.f64 2) 17) (pow.f64 1 4)) (sin.f64 y)) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 -1/16)) 1/3))) (.f64 2/9 (.f64 (pow.f64 (/.f64 (.f64 (pow.f64 (sqrt.f64 2) 17) (pow.f64 1 4)) (sin.f64 y)) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 -1/16)) 1/3))))) (pow.f64 x 2)) (.f64 -1/16 (.f64 (*.f64 (sqrt.f64 2) (sin.f64 y)) (pow.f64 1 1/3)))))
(fma.f64 (.f64 (.f64 (.f64 (pow.f64 (.f64 (pow.f64 (sqrt.f64 2) 13) (pow.f64 (sin.f64 y) 4)) 1/18) (pow.f64 (.f64 (pow.f64 (sqrt.f64 2) 13) (pow.f64 (sin.f64 y) 4)) 1/18)) (cbrt.f64 (pow.f64 (cbrt.f64 -1/16) 4))) 1) x (fma.f64 (fma.f64 (cbrt.f64 (.f64 (sqrt.f64 2) (sin.f64 y))) (.f64 (cbrt.f64 -1/16) (.f64 (.f64 (.f64 (pow.f64 (/.f64 (pow.f64 (sqrt.f64 2) 14) (pow.f64 (sin.f64 y) 4)) 1/18) (pow.f64 (/.f64 (pow.f64 (sqrt.f64 2) 14) (pow.f64 (sin.f64 y) 4)) 1/18)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/16) 4)))) -1/9)) (.f64 (.f64 (.f64 (pow.f64 (/.f64 (pow.f64 (sqrt.f64 2) 17) (sin.f64 y)) 1/18) (pow.f64 (/.f64 (pow.f64 (sqrt.f64 2) 17) (sin.f64 y)) 1/18)) (cbrt.f64 (/.f64 1 (cbrt.f64 -1/16)))) 1/9)) (.f64 x x) (.f64 -1/16 (.f64 (sqrt.f64 2) (sin.f64 y)))))
(fma.f64 (.f64 (.f64 (pow.f64 (.f64 (pow.f64 (sqrt.f64 2) 13) (pow.f64 (sin.f64 y) 4)) 1/18) (pow.f64 (.f64 (pow.f64 (sqrt.f64 2) 13) (pow.f64 (sin.f64 y) 4)) 1/18)) (cbrt.f64 (pow.f64 (cbrt.f64 -1/16) 4))) x (fma.f64 -1/16 (.f64 (sqrt.f64 2) (sin.f64 y)) (.f64 (fma.f64 (cbrt.f64 (.f64 (sqrt.f64 2) (sin.f64 y))) (.f64 (.f64 (pow.f64 (/.f64 (pow.f64 (sqrt.f64 2) 14) (pow.f64 (sin.f64 y) 4)) 1/18) (.f64 (pow.f64 (/.f64 (pow.f64 (sqrt.f64 2) 14) (pow.f64 (sin.f64 y) 4)) 1/18) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/16) 4))))) (.f64 -1/9 (cbrt.f64 -1/16))) (.f64 1/9 (.f64 (pow.f64 (/.f64 (pow.f64 (sqrt.f64 2) 17) (sin.f64 y)) 1/18) (.f64 (pow.f64 (/.f64 (pow.f64 (sqrt.f64 2) 17) (sin.f64 y)) 1/18) (cbrt.f64 (/.f64 1 (cbrt.f64 -1/16))))))) (*.f64 x x))))
(+.f64 (.f64 (+.f64 (.f64 1/3 (.f64 (-.f64 (.f64 -1/6 (sqrt.f64 2)) (+.f64 (.f64 -2/9 (.f64 (pow.f64 (/.f64 (pow.f64 (sqrt.f64 2) 7) (pow.f64 (sin.f64 y) 2)) 1/3) (.f64 (pow.f64 (pow.f64 1 4) 1/9) (/.f64 1 (pow.f64 (cbrt.f64 -1/16) 2))))) (.f64 1/27 (.f64 (pow.f64 (/.f64 (.f64 (pow.f64 (sqrt.f64 2) 7) 1) (pow.f64 (sin.f64 y) 2)) 1/3) (/.f64 1 (pow.f64 (cbrt.f64 -1/16) 2)))))) (pow.f64 1 1/3))) (+.f64 (.f64 (pow.f64 (.f64 (sqrt.f64 2) (.f64 1 (sin.f64 y))) 1/3) (.f64 (+.f64 (.f64 32/27 (.f64 (/.f64 (pow.f64 (sqrt.f64 2) 2) (sin.f64 y)) (pow.f64 1 1/9))) (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (.f64 (sqrt.f64 2) (sin.f64 y))) 1/3) (/.f64 (-.f64 (.f64 -1/6 (sqrt.f64 2)) (+.f64 (.f64 -2/9 (.f64 (pow.f64 (/.f64 (pow.f64 (sqrt.f64 2) 7) (pow.f64 (sin.f64 y) 2)) 1/3) (.f64 (pow.f64 (pow.f64 1 4) 1/9) (/.f64 1 (pow.f64 (cbrt.f64 -1/16) 2))))) (.f64 1/27 (.f64 (pow.f64 (/.f64 (.f64 (pow.f64 (sqrt.f64 2) 7) 1) (pow.f64 (sin.f64 y) 2)) 1/3) (/.f64 1 (pow.f64 (cbrt.f64 -1/16) 2)))))) (cbrt.f64 -1/16))))) (cbrt.f64 -1/16))) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 (.f64 (pow.f64 (sqrt.f64 2) 7) (pow.f64 1 4)) (pow.f64 (sin.f64 y) 2)) 1/9) (.f64 (+.f64 (.f64 1/9 (.f64 (pow.f64 (/.f64 (.f64 (pow.f64 (sqrt.f64 2) 14) (pow.f64 1 4)) (pow.f64 (sin.f64 y) 4)) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/16) 4)) 1/3))) (.f64 -2/9 (.f64 (pow.f64 (/.f64 (.f64 (pow.f64 (sqrt.f64 2) 14) (pow.f64 1 4)) (pow.f64 (sin.f64 y) 4)) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/16) 4)) 1/3)))) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/16) 2)) 1/3)))) (.f64 -2/27 (.f64 (pow.f64 (/.f64 (pow.f64 (sqrt.f64 2) 7) (pow.f64 (sin.f64 y) 2)) 1/3) (.f64 (pow.f64 (pow.f64 1 4) 1/9) (/.f64 1 (pow.f64 (cbrt.f64 -1/16) 2)))))))) (pow.f64 x 3)) (+.f64 (.f64 (+.f64 (.f64 1/3 (.f64 (pow.f64 (.f64 (pow.f64 (sqrt.f64 2) 13) (.f64 (pow.f64 1 4) (pow.f64 (sin.f64 y) 4))) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1/16) 4) 1/3))) (.f64 2/3 (.f64 (pow.f64 (.f64 (pow.f64 (sqrt.f64 2) 13) (.f64 (pow.f64 1 4) (pow.f64 (sin.f64 y) 4))) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1/16) 4) 1/3)))) x) (+.f64 (.f64 (+.f64 (.f64 (pow.f64 (.f64 (sqrt.f64 2) (.f64 1 (sin.f64 y))) 1/3) (.f64 (+.f64 (.f64 1/9 (.f64 (pow.f64 (/.f64 (.f64 (pow.f64 (sqrt.f64 2) 14) (pow.f64 1 4)) (pow.f64 (sin.f64 y) 4)) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/16) 4)) 1/3))) (.f64 -2/9 (.f64 (pow.f64 (/.f64 (.f64 (pow.f64 (sqrt.f64 2) 14) (pow.f64 1 4)) (pow.f64 (sin.f64 y) 4)) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/16) 4)) 1/3)))) (cbrt.f64 -1/16))) (+.f64 (.f64 -1/9 (.f64 (pow.f64 (/.f64 (.f64 (pow.f64 (sqrt.f64 2) 17) (pow.f64 1 4)) (sin.f64 y)) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 -1/16)) 1/3))) (.f64 2/9 (.f64 (pow.f64 (/.f64 (.f64 (pow.f64 (sqrt.f64 2) 17) (pow.f64 1 4)) (sin.f64 y)) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 -1/16)) 1/3))))) (pow.f64 x 2)) (.f64 -1/16 (.f64 (.f64 (sqrt.f64 2) (sin.f64 y)) (pow.f64 1 1/3))))))
(fma.f64 (fma.f64 1/3 (.f64 1 (-.f64 (.f64 (sqrt.f64 2) -1/6) (fma.f64 -2/9 (.f64 (cbrt.f64 (/.f64 (pow.f64 (sqrt.f64 2) 7) (pow.f64 (sin.f64 y) 2))) (/.f64 1 (pow.f64 (cbrt.f64 -1/16) 2))) (.f64 (.f64 (cbrt.f64 (/.f64 (pow.f64 (sqrt.f64 2) 7) (pow.f64 (sin.f64 y) 2))) (/.f64 1 (pow.f64 (cbrt.f64 -1/16) 2))) 1/27)))) (fma.f64 (cbrt.f64 (.f64 (sqrt.f64 2) (sin.f64 y))) (.f64 (cbrt.f64 -1/16) (fma.f64 32/27 (.f64 1 (/.f64 (pow.f64 (sqrt.f64 2) 2) (sin.f64 y))) (.f64 (.f64 2/3 (cbrt.f64 (/.f64 1 (.f64 (sqrt.f64 2) (sin.f64 y))))) (/.f64 (-.f64 (.f64 (sqrt.f64 2) -1/6) (fma.f64 -2/9 (.f64 (cbrt.f64 (/.f64 (pow.f64 (sqrt.f64 2) 7) (pow.f64 (sin.f64 y) 2))) (/.f64 1 (pow.f64 (cbrt.f64 -1/16) 2))) (.f64 (.f64 (cbrt.f64 (/.f64 (pow.f64 (sqrt.f64 2) 7) (pow.f64 (sin.f64 y) 2))) (/.f64 1 (pow.f64 (cbrt.f64 -1/16) 2))) 1/27))) (cbrt.f64 -1/16))))) (fma.f64 1/3 (.f64 (.f64 (pow.f64 (/.f64 (pow.f64 (sqrt.f64 2) 7) (pow.f64 (sin.f64 y) 2)) 1/18) (pow.f64 (/.f64 (pow.f64 (sqrt.f64 2) 7) (pow.f64 (sin.f64 y) 2)) 1/18)) (.f64 (.f64 (.f64 (.f64 (pow.f64 (/.f64 (pow.f64 (sqrt.f64 2) 14) (pow.f64 (sin.f64 y) 4)) 1/18) (pow.f64 (/.f64 (pow.f64 (sqrt.f64 2) 14) (pow.f64 (sin.f64 y) 4)) 1/18)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/16) 4)))) -1/9) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/16) 2))))) (.f64 (.f64 -2/27 (cbrt.f64 (/.f64 (pow.f64 (sqrt.f64 2) 7) (pow.f64 (sin.f64 y) 2)))) (/.f64 1 (pow.f64 (cbrt.f64 -1/16) 2)))))) (pow.f64 x 3) (fma.f64 (.f64 (.f64 (.f64 (pow.f64 (.f64 (pow.f64 (sqrt.f64 2) 13) (pow.f64 (sin.f64 y) 4)) 1/18) (pow.f64 (.f64 (pow.f64 (sqrt.f64 2) 13) (pow.f64 (sin.f64 y) 4)) 1/18)) (cbrt.f64 (pow.f64 (cbrt.f64 -1/16) 4))) 1) x (fma.f64 (fma.f64 (cbrt.f64 (.f64 (sqrt.f64 2) (sin.f64 y))) (.f64 (cbrt.f64 -1/16) (.f64 (.f64 (.f64 (pow.f64 (/.f64 (pow.f64 (sqrt.f64 2) 14) (pow.f64 (sin.f64 y) 4)) 1/18) (pow.f64 (/.f64 (pow.f64 (sqrt.f64 2) 14) (pow.f64 (sin.f64 y) 4)) 1/18)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/16) 4)))) -1/9)) (.f64 (.f64 (.f64 (pow.f64 (/.f64 (pow.f64 (sqrt.f64 2) 17) (sin.f64 y)) 1/18) (pow.f64 (/.f64 (pow.f64 (sqrt.f64 2) 17) (sin.f64 y)) 1/18)) (cbrt.f64 (/.f64 1 (cbrt.f64 -1/16)))) 1/9)) (.f64 x x) (.f64 -1/16 (*.f64 (sqrt.f64 2) (sin.f64 y))))))
(fma.f64 (fma.f64 1/3 (-.f64 (.f64 (sqrt.f64 2) -1/6) (.f64 (/.f64 (cbrt.f64 (/.f64 (pow.f64 (sqrt.f64 2) 7) (pow.f64 (sin.f64 y) 2))) (pow.f64 (cbrt.f64 -1/16) 2)) -5/27)) (fma.f64 (.f64 (cbrt.f64 (.f64 (sqrt.f64 2) (sin.f64 y))) (fma.f64 2/3 (.f64 (cbrt.f64 (/.f64 (/.f64 1 (sqrt.f64 2)) (sin.f64 y))) (/.f64 (-.f64 (.f64 (sqrt.f64 2) -1/6) (.f64 (/.f64 (cbrt.f64 (/.f64 (pow.f64 (sqrt.f64 2) 7) (pow.f64 (sin.f64 y) 2))) (pow.f64 (cbrt.f64 -1/16) 2)) -5/27)) (cbrt.f64 -1/16))) (/.f64 64/27 (sin.f64 y)))) (cbrt.f64 -1/16) (fma.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 (pow.f64 (sqrt.f64 2) 7) (pow.f64 (sin.f64 y) 2)) 1/18) (pow.f64 (/.f64 (pow.f64 (sqrt.f64 2) 7) (pow.f64 (sin.f64 y) 2)) 1/18))) (.f64 (.f64 (pow.f64 (/.f64 (pow.f64 (sqrt.f64 2) 14) (pow.f64 (sin.f64 y) 4)) 1/18) (.f64 (pow.f64 (/.f64 (pow.f64 (sqrt.f64 2) 14) (pow.f64 (sin.f64 y) 4)) 1/18) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/16) 4))))) (.f64 -1/9 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/16) 2))))) (.f64 (/.f64 (cbrt.f64 (/.f64 (pow.f64 (sqrt.f64 2) 7) (pow.f64 (sin.f64 y) 2))) (pow.f64 (cbrt.f64 -1/16) 2)) -2/27)))) (pow.f64 x 3) (fma.f64 (.f64 (.f64 (pow.f64 (.f64 (pow.f64 (sqrt.f64 2) 13) (pow.f64 (sin.f64 y) 4)) 1/18) (pow.f64 (.f64 (pow.f64 (sqrt.f64 2) 13) (pow.f64 (sin.f64 y) 4)) 1/18)) (cbrt.f64 (pow.f64 (cbrt.f64 -1/16) 4))) x (fma.f64 -1/16 (.f64 (sqrt.f64 2) (sin.f64 y)) (.f64 (fma.f64 (cbrt.f64 (.f64 (sqrt.f64 2) (sin.f64 y))) (.f64 (.f64 (pow.f64 (/.f64 (pow.f64 (sqrt.f64 2) 14) (pow.f64 (sin.f64 y) 4)) 1/18) (.f64 (pow.f64 (/.f64 (pow.f64 (sqrt.f64 2) 14) (pow.f64 (sin.f64 y) 4)) 1/18) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/16) 4))))) (.f64 -1/9 (cbrt.f64 -1/16))) (.f64 1/9 (.f64 (pow.f64 (/.f64 (pow.f64 (sqrt.f64 2) 17) (sin.f64 y)) 1/18) (.f64 (pow.f64 (/.f64 (pow.f64 (sqrt.f64 2) 17) (sin.f64 y)) 1/18) (cbrt.f64 (/.f64 1 (cbrt.f64 -1/16))))))) (*.f64 x x)))))
(.f64 (.f64 (sqrt.f64 2) (+.f64 (*.f64 -1/16 (sin.f64 y)) (sin.f64 x))) (pow.f64 1 1/3))
(*.f64 (sqrt.f64 2) (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)))
(.f64 (.f64 (sqrt.f64 2) (+.f64 (*.f64 -1/16 (sin.f64 y)) (sin.f64 x))) (pow.f64 1 1/3))
(*.f64 (sqrt.f64 2) (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)))
(.f64 (.f64 (sqrt.f64 2) (+.f64 (*.f64 -1/16 (sin.f64 y)) (sin.f64 x))) (pow.f64 1 1/3))
(*.f64 (sqrt.f64 2) (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)))
(.f64 (.f64 (sqrt.f64 2) (+.f64 (*.f64 -1/16 (sin.f64 y)) (sin.f64 x))) (pow.f64 1 1/3))
(*.f64 (sqrt.f64 2) (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)))
(.f64 (.f64 (sqrt.f64 2) (+.f64 (*.f64 -1/16 (sin.f64 y)) (sin.f64 x))) (pow.f64 1 1/3))
(*.f64 (sqrt.f64 2) (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)))
(.f64 (.f64 (sqrt.f64 2) (+.f64 (*.f64 -1/16 (sin.f64 y)) (sin.f64 x))) (pow.f64 1 1/3))
(*.f64 (sqrt.f64 2) (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)))
(.f64 (.f64 (sqrt.f64 2) (+.f64 (*.f64 -1/16 (sin.f64 y)) (sin.f64 x))) (pow.f64 1 1/3))
(*.f64 (sqrt.f64 2) (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)))
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(*.f64 (sqrt.f64 2) (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sqrt.f64 2) (fma.f64 (sin.f64 y) -1/16 (sin.f64 x))))))
(*.f64 (sqrt.f64 2) (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)))
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 2) (fma.f64 (sin.f64 y) -1/16 (sin.f64 x))) 3))
(*.f64 (sqrt.f64 2) (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)))
(cbrt.f64 (.f64 (.f64 2 (sqrt.f64 2)) (pow.f64 (fma.f64 (sin.f64 y) -1/16 (sin.f64 x)) 3)))
(*.f64 (sqrt.f64 2) (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)))
(cbrt.f64 (.f64 (pow.f64 (fma.f64 (sin.f64 y) -1/16 (sin.f64 x)) 3) (.f64 2 (sqrt.f64 2))))
(*.f64 (sqrt.f64 2) (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 2) (fma.f64 (sin.f64 y) -1/16 (sin.f64 x)))))
(*.f64 (sqrt.f64 2) (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 2) (fma.f64 (sin.f64 y) -1/16 (sin.f64 x)))))
(*.f64 (sqrt.f64 2) (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)))
(exp.f64 (.f64 (log.f64 (.f64 (sqrt.f64 2) (fma.f64 (sin.f64 y) -1/16 (sin.f64 x)))) 1))
(*.f64 (sqrt.f64 2) (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 2) (fma.f64 (sin.f64 y) -1/16 (sin.f64 x)))))
(*.f64 (sqrt.f64 2) (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)))
(fma.f64 (sqrt.f64 2) (sin.f64 x) (.f64 (sqrt.f64 2) (.f64 (sin.f64 y) -1/16)))
(*.f64 (sqrt.f64 2) (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)))
(fma.f64 (sin.f64 x) (sqrt.f64 2) (.f64 (sqrt.f64 2) (.f64 (sin.f64 y) -1/16)))
(*.f64 (sqrt.f64 2) (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (*.f64 (sqrt.f64 2) (fma.f64 (sin.f64 y) -1/16 (sin.f64 x)))))) 1)
(cbrt.f64 (*.f64 (sqrt.f64 2) (fma.f64 -1/16 (sin.f64 y) (sin.f64 x))))
(.f64 (cbrt.f64 (.f64 (sqrt.f64 2) (fma.f64 (sin.f64 y) -1/16 (sin.f64 x)))) 1)
(cbrt.f64 (*.f64 (sqrt.f64 2) (fma.f64 -1/16 (sin.f64 y) (sin.f64 x))))
(.f64 1 (cbrt.f64 (.f64 (sqrt.f64 2) (fma.f64 (sin.f64 y) -1/16 (sin.f64 x)))))
(cbrt.f64 (*.f64 (sqrt.f64 2) (fma.f64 -1/16 (sin.f64 y) (sin.f64 x))))
(.f64 (pow.f64 (.f64 (sqrt.f64 2) (fma.f64 (sin.f64 y) -1/16 (sin.f64 x))) 1/6) (pow.f64 (*.f64 (sqrt.f64 2) (fma.f64 (sin.f64 y) -1/16 (sin.f64 x))) 1/6))
(cbrt.f64 (*.f64 (sqrt.f64 2) (fma.f64 -1/16 (sin.f64 y) (sin.f64 x))))
(*.f64 (cbrt.f64 (fma.f64 (sin.f64 y) -1/16 (sin.f64 x))) (cbrt.f64 (sqrt.f64 2)))
(*.f64 (cbrt.f64 (fma.f64 -1/16 (sin.f64 y) (sin.f64 x))) (cbrt.f64 (sqrt.f64 2)))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 (sqrt.f64 2) (fma.f64 (sin.f64 y) -1/16 (sin.f64 x))))) (cbrt.f64 (cbrt.f64 (*.f64 2 (pow.f64 (fma.f64 (sin.f64 y) -1/16 (sin.f64 x)) 2)))))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 2 (pow.f64 (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)) 2)))) (cbrt.f64 (cbrt.f64 (*.f64 (sqrt.f64 2) (fma.f64 -1/16 (sin.f64 y) (sin.f64 x))))))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 (sqrt.f64 2) (fma.f64 (sin.f64 y) -1/16 (sin.f64 x))))) (pow.f64 (cbrt.f64 (*.f64 2 (pow.f64 (fma.f64 (sin.f64 y) -1/16 (sin.f64 x)) 2))) 1/3))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 2 (pow.f64 (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)) 2)))) (cbrt.f64 (cbrt.f64 (*.f64 (sqrt.f64 2) (fma.f64 -1/16 (sin.f64 y) (sin.f64 x))))))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 2 (pow.f64 (fma.f64 (sin.f64 y) -1/16 (sin.f64 x)) 2)))) (cbrt.f64 (cbrt.f64 (*.f64 (sqrt.f64 2) (fma.f64 (sin.f64 y) -1/16 (sin.f64 x))))))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 2 (pow.f64 (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)) 2)))) (cbrt.f64 (cbrt.f64 (*.f64 (sqrt.f64 2) (fma.f64 -1/16 (sin.f64 y) (sin.f64 x))))))
(*.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 (fma.f64 (sin.f64 y) -1/16 (sin.f64 x))))
(*.f64 (cbrt.f64 (fma.f64 -1/16 (sin.f64 y) (sin.f64 x))) (cbrt.f64 (sqrt.f64 2)))
(.f64 (pow.f64 (cbrt.f64 (.f64 2 (pow.f64 (fma.f64 (sin.f64 y) -1/16 (sin.f64 x)) 2))) 1/3) (cbrt.f64 (cbrt.f64 (*.f64 (sqrt.f64 2) (fma.f64 (sin.f64 y) -1/16 (sin.f64 x))))))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 2 (pow.f64 (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)) 2)))) (cbrt.f64 (cbrt.f64 (*.f64 (sqrt.f64 2) (fma.f64 -1/16 (sin.f64 y) (sin.f64 x))))))
(.f64 (pow.f64 1 1/3) (cbrt.f64 (.f64 (sqrt.f64 2) (fma.f64 (sin.f64 y) -1/16 (sin.f64 x)))))
(cbrt.f64 (*.f64 (sqrt.f64 2) (fma.f64 -1/16 (sin.f64 y) (sin.f64 x))))
(.f64 (pow.f64 (sqrt.f64 (.f64 (sqrt.f64 2) (fma.f64 (sin.f64 y) -1/16 (sin.f64 x)))) 1/3) (pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 2) (fma.f64 (sin.f64 y) -1/16 (sin.f64 x)))) 1/3))
(.f64 (cbrt.f64 (sqrt.f64 (.f64 (sqrt.f64 2) (fma.f64 -1/16 (sin.f64 y) (sin.f64 x))))) (cbrt.f64 (sqrt.f64 (*.f64 (sqrt.f64 2) (fma.f64 -1/16 (sin.f64 y) (sin.f64 x))))))
(/.f64 (.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 (+.f64 (pow.f64 (sin.f64 x) 3) (.f64 (pow.f64 (sin.f64 y) 3) -1/4096)))) (cbrt.f64 (+.f64 (.f64 (pow.f64 (sin.f64 y) 2) 1/256) (.f64 (sin.f64 x) (+.f64 (sin.f64 x) (*.f64 (sin.f64 y) 1/16))))))
(/.f64 (cbrt.f64 (sqrt.f64 2)) (/.f64 (cbrt.f64 (fma.f64 (pow.f64 (sin.f64 y) 2) 1/256 (.f64 (sin.f64 x) (+.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16))))) (cbrt.f64 (+.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (pow.f64 (sin.f64 y) 3) -1/4096)))))
(.f64 (/.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 (fma.f64 (pow.f64 (sin.f64 y) 2) 1/256 (.f64 (sin.f64 x) (fma.f64 (sin.f64 y) 1/16 (sin.f64 x)))))) (cbrt.f64 (fma.f64 (pow.f64 (sin.f64 y) 3) -1/4096 (pow.f64 (sin.f64 x) 3))))
(/.f64 (.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 (+.f64 (pow.f64 (sin.f64 x) 2) (.f64 (pow.f64 (sin.f64 y) 2) -1/256)))) (cbrt.f64 (+.f64 (sin.f64 x) (*.f64 (sin.f64 y) 1/16))))
(/.f64 (cbrt.f64 (+.f64 (pow.f64 (sin.f64 x) 2) (.f64 (pow.f64 (sin.f64 y) 2) -1/256))) (/.f64 (cbrt.f64 (+.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16))) (cbrt.f64 (sqrt.f64 2))))
(*.f64 (/.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 (fma.f64 (sin.f64 y) 1/16 (sin.f64 x)))) (cbrt.f64 (fma.f64 (pow.f64 (sin.f64 y) 2) -1/256 (pow.f64 (sin.f64 x) 2))))
(/.f64 (.f64 (cbrt.f64 (+.f64 (pow.f64 (sin.f64 x) 3) (.f64 (pow.f64 (sin.f64 y) 3) -1/4096))) (cbrt.f64 (sqrt.f64 2))) (cbrt.f64 (+.f64 (.f64 (pow.f64 (sin.f64 y) 2) 1/256) (.f64 (sin.f64 x) (+.f64 (sin.f64 x) (*.f64 (sin.f64 y) 1/16))))))
(/.f64 (cbrt.f64 (sqrt.f64 2)) (/.f64 (cbrt.f64 (fma.f64 (pow.f64 (sin.f64 y) 2) 1/256 (.f64 (sin.f64 x) (+.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16))))) (cbrt.f64 (+.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (pow.f64 (sin.f64 y) 3) -1/4096)))))
(.f64 (/.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 (fma.f64 (pow.f64 (sin.f64 y) 2) 1/256 (.f64 (sin.f64 x) (fma.f64 (sin.f64 y) 1/16 (sin.f64 x)))))) (cbrt.f64 (fma.f64 (pow.f64 (sin.f64 y) 3) -1/4096 (pow.f64 (sin.f64 x) 3))))
(/.f64 (.f64 (cbrt.f64 (+.f64 (pow.f64 (sin.f64 x) 2) (.f64 (pow.f64 (sin.f64 y) 2) -1/256))) (cbrt.f64 (sqrt.f64 2))) (cbrt.f64 (+.f64 (sin.f64 x) (*.f64 (sin.f64 y) 1/16))))
(/.f64 (cbrt.f64 (+.f64 (pow.f64 (sin.f64 x) 2) (.f64 (pow.f64 (sin.f64 y) 2) -1/256))) (/.f64 (cbrt.f64 (+.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16))) (cbrt.f64 (sqrt.f64 2))))
(*.f64 (/.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 (fma.f64 (sin.f64 y) 1/16 (sin.f64 x)))) (cbrt.f64 (fma.f64 (pow.f64 (sin.f64 y) 2) -1/256 (pow.f64 (sin.f64 x) 2))))
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 2) (fma.f64 (sin.f64 y) -1/16 (sin.f64 x)))) 1)
(cbrt.f64 (*.f64 (sqrt.f64 2) (fma.f64 -1/16 (sin.f64 y) (sin.f64 x))))
(pow.f64 (*.f64 (sqrt.f64 2) (fma.f64 (sin.f64 y) -1/16 (sin.f64 x))) 1/3)
(cbrt.f64 (*.f64 (sqrt.f64 2) (fma.f64 -1/16 (sin.f64 y) (sin.f64 x))))
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 2) (fma.f64 (sin.f64 y) -1/16 (sin.f64 x))) 1/6) 2)
(cbrt.f64 (*.f64 (sqrt.f64 2) (fma.f64 -1/16 (sin.f64 y) (sin.f64 x))))
(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (sqrt.f64 2) (fma.f64 (sin.f64 y) -1/16 (sin.f64 x))))) 3)
(cbrt.f64 (*.f64 (sqrt.f64 2) (fma.f64 -1/16 (sin.f64 y) (sin.f64 x))))
(sqrt.f64 (cbrt.f64 (*.f64 2 (pow.f64 (fma.f64 (sin.f64 y) -1/16 (sin.f64 x)) 2))))
(sqrt.f64 (cbrt.f64 (*.f64 2 (pow.f64 (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)) 2))))
(log.f64 (exp.f64 (cbrt.f64 (*.f64 (sqrt.f64 2) (fma.f64 (sin.f64 y) -1/16 (sin.f64 x))))))
(cbrt.f64 (*.f64 (sqrt.f64 2) (fma.f64 -1/16 (sin.f64 y) (sin.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (*.f64 (sqrt.f64 2) (fma.f64 (sin.f64 y) -1/16 (sin.f64 x)))))))
(cbrt.f64 (*.f64 (sqrt.f64 2) (fma.f64 -1/16 (sin.f64 y) (sin.f64 x))))
(expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 (sqrt.f64 2) (fma.f64 (sin.f64 y) -1/16 (sin.f64 x))))))
(cbrt.f64 (*.f64 (sqrt.f64 2) (fma.f64 -1/16 (sin.f64 y) (sin.f64 x))))
(exp.f64 (log.f64 (cbrt.f64 (*.f64 (sqrt.f64 2) (fma.f64 (sin.f64 y) -1/16 (sin.f64 x))))))
(cbrt.f64 (*.f64 (sqrt.f64 2) (fma.f64 -1/16 (sin.f64 y) (sin.f64 x))))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (sqrt.f64 2) (fma.f64 (sin.f64 y) -1/16 (sin.f64 x))))) 1))
(cbrt.f64 (*.f64 (sqrt.f64 2) (fma.f64 -1/16 (sin.f64 y) (sin.f64 x))))
(exp.f64 (.f64 (log.f64 (.f64 (sqrt.f64 2) (fma.f64 (sin.f64 y) -1/16 (sin.f64 x)))) 1/3))
(cbrt.f64 (*.f64 (sqrt.f64 2) (fma.f64 -1/16 (sin.f64 y) (sin.f64 x))))
(log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 (sqrt.f64 2) (fma.f64 (sin.f64 y) -1/16 (sin.f64 x))))))
(cbrt.f64 (*.f64 (sqrt.f64 2) (fma.f64 -1/16 (sin.f64 y) (sin.f64 x))))

eval1.7s (5.7%)

Compiler: Compiled 77986 to 56384 computations (27.7% saved)

prune757.0ms (2.5%)

Pruning

69 alts after pruning (65 fresh and 4 done)

	Pruned	Kept	Total
New	1278	35	1313
Fresh	12	30	42
Picked	0	1	1
Done	2	3	5
Total	1292	69	1361

Error

0.0b

Counts

1361 → 69

Alt Table

Click to see full alt table

Status	Error	Program
	0.4b	(/.f64 (fma.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16)) (.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)) (-.f64 (cos.f64 x) (cos.f64 y)))) 2) (+.f64 (/.f64 (cos.f64 x) (/.f64 (-.f64 -1 (sqrt.f64 5)) -6)) (fma.f64 (cos.f64 y) (/.f64 (-.f64 3 (sqrt.f64 5)) 2/3) 3)))
	26.7b	(/.f64 (fma.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16)) (.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)) (-.f64 (cos.f64 x) (cos.f64 y)))) 2) (+.f64 (/.f64 6 (+.f64 (sqrt.f64 5) 1)) (fma.f64 (cos.f64 y) (/.f64 (-.f64 3 (sqrt.f64 5)) 2/3) 3)))
	0.5b	(/.f64 (fma.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16)) (.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)) (-.f64 (cos.f64 x) (cos.f64 y)))) 2) (+.f64 (.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (+.f64 (.f64 (sqrt.f64 5) 1/6) 1/6)) (cbrt.f64 (cos.f64 x))) (fma.f64 (cos.f64 y) (/.f64 (-.f64 3 (sqrt.f64 5)) 2/3) 3)))
	0.4b	(/.f64 (fma.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16)) (.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)) (-.f64 (cos.f64 x) (cos.f64 y)))) 2) (+.f64 (*.f64 (/.f64 (cos.f64 x) (-.f64 -1 (sqrt.f64 5))) -6) (fma.f64 (cos.f64 y) (/.f64 (-.f64 3 (sqrt.f64 5)) 2/3) 3)))
	0.4b	(/.f64 (fma.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16)) (.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)) (-.f64 (cos.f64 x) (cos.f64 y)))) 2) (+.f64 (.f64 (+.f64 (sqrt.f64 5) -1) (.f64 (cos.f64 x) 3/2)) (fma.f64 (cos.f64 y) (/.f64 (-.f64 3 (sqrt.f64 5)) 2/3) 3)))
✓	0.5b	(/.f64 (fma.f64 (sqrt.f64 2) (.f64 (+.f64 (sin.f64 y) (.f64 -1/16 (sin.f64 x))) (.f64 (+.f64 (sin.f64 x) (.f64 -1/16 (sin.f64 y))) (-.f64 (cos.f64 x) (cos.f64 y)))) 2) (fma.f64 (cos.f64 x) (/.f64 (+.f64 (sqrt.f64 5) -1) 2/3) (fma.f64 (cos.f64 y) (*.f64 3/2 (-.f64 3 (sqrt.f64 5))) 3)))
	0.6b	(/.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) (expm1.f64 (log1p.f64 (.f64 (+.f64 (sqrt.f64 5) -1) 3/2))) (fma.f64 (cos.f64 y) (.f64 3/2 (-.f64 3 (sqrt.f64 5))) 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 3/2 (.f64 (-.f64 3 (sqrt.f64 5)) (cos.f64 y))) (.f64 3/2 (*.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))))))
✓	0.5b	(/.f64 (+.f64 2 (.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 (sqrt.f64 2) (+.f64 (sin.f64 x) (.f64 (sin.f64 y) -1/16)))) 3) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (*.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
	0.8b	(/.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 (pow.f64 (cbrt.f64 (.f64 (.f64 (+.f64 (sqrt.f64 5) -1) (cos.f64 x)) 1/2)) 3)) (*.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
	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 1 (pow.f64 5 1/4)) (/.f64 (/.f64 2 (cos.f64 x)) (-.f64 (pow.f64 5 1/4) 1)))) (*.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
	1.2b	(/.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 (cos.f64 x) (pow.f64 (cbrt.f64 (+.f64 (.f64 (sqrt.f64 5) 1/2) -1/2)) 2)) (cbrt.f64 (-.f64 1 (sqrt.f64 5)))) (cbrt.f64 -2))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
	0.4b	(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (/.f64 4 (+.f64 (sqrt.f64 5) 3)) 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 (cos.f64 x) (/.f64 -2 (-.f64 -1 (sqrt.f64 5))))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
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	24.4b	(.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 (+.f64 5/2 (.f64 (cos.f64 x) (-.f64 (.f64 1/2 (sqrt.f64 5)) 1/2))) (*.f64 1/2 (sqrt.f64 5)))))
	24.4b	(.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 5/2 (-.f64 (.f64 (fma.f64 1/2 (sqrt.f64 5) -1/2) (cos.f64 x)) (.f64 1/2 (sqrt.f64 5))))))
	0.5b	(.f64 1/3 (/.f64 (+.f64 2 (log1p.f64 (expm1.f64 (.f64 (sqrt.f64 2) (.f64 (+.f64 (sin.f64 x) (.f64 (sin.f64 y) -1/16)) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (+.f64 (sin.f64 y) (.f64 (sin.f64 x) -1/16)))))))) (+.f64 1 (+.f64 (.f64 (-.f64 3/2 (.f64 1/2 (sqrt.f64 5))) (cos.f64 y)) (.f64 (cos.f64 x) (-.f64 (.f64 1/2 (sqrt.f64 5)) 1/2))))))
	0.5b	(.f64 1/3 (/.f64 (+.f64 2 (log.f64 (exp.f64 (.f64 (sqrt.f64 2) (.f64 (+.f64 (sin.f64 x) (.f64 (sin.f64 y) -1/16)) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (+.f64 (sin.f64 y) (.f64 (sin.f64 x) -1/16)))))))) (+.f64 1 (+.f64 (.f64 (-.f64 3/2 (.f64 1/2 (sqrt.f64 5))) (cos.f64 y)) (.f64 (cos.f64 x) (-.f64 (.f64 1/2 (sqrt.f64 5)) 1/2))))))
	0.6b	(log.f64 (exp.f64 (/.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 (sin.f64 y) -1/16)))) 2) (fma.f64 (cos.f64 x) (*.f64 (+.f64 (sqrt.f64 5) -1) 3/2) (fma.f64 (cos.f64 y) (/.f64 6 (+.f64 (sqrt.f64 5) 3)) 3)))))

Compiler

Compiled 6101 to 4995 computations (18.1% saved)

localize97.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(*.f64 (cos.f64 x) (-.f64 (/.f64 (sqrt.f64 5) 2) 1/2))
✓	0.4b	(+.f64 (.f64 (cos.f64 x) (-.f64 (/.f64 (sqrt.f64 5) 2) 1/2)) (.f64 (cos.f64 y) (/.f64 1 (+.f64 3/2 (sqrt.f64 5/4)))))
	0.5b	(*.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)))
	1.4b	(-.f64 (cos.f64 x) (cos.f64 y))

Compiler

Compiled 277 to 183 computations (33.9% saved)

series32.0ms (0.1%)

Counts

2 → 36

Calls

9 calls:

Time	Variable		Point	Expression
30.0ms	x	@	0	(+.f64 (.f64 (cos.f64 x) (-.f64 (/.f64 (sqrt.f64 5) 2) 1/2)) (.f64 (cos.f64 y) (/.f64 1 (+.f64 3/2 (sqrt.f64 5/4)))))
1.0ms	x	@	inf	(+.f64 (.f64 (cos.f64 x) (-.f64 (/.f64 (sqrt.f64 5) 2) 1/2)) (.f64 (cos.f64 y) (/.f64 1 (+.f64 3/2 (sqrt.f64 5/4)))))
1.0ms	y	@	inf	(+.f64 (.f64 (cos.f64 x) (-.f64 (/.f64 (sqrt.f64 5) 2) 1/2)) (.f64 (cos.f64 y) (/.f64 1 (+.f64 3/2 (sqrt.f64 5/4)))))
0.0ms	y	@	-inf	(+.f64 (.f64 (cos.f64 x) (-.f64 (/.f64 (sqrt.f64 5) 2) 1/2)) (.f64 (cos.f64 y) (/.f64 1 (+.f64 3/2 (sqrt.f64 5/4)))))
0.0ms	y	@	0	(+.f64 (.f64 (cos.f64 x) (-.f64 (/.f64 (sqrt.f64 5) 2) 1/2)) (.f64 (cos.f64 y) (/.f64 1 (+.f64 3/2 (sqrt.f64 5/4)))))

rewrite97.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1008×	`associate-/r*`
676×	`associate-/l*`
472×	`add-sqr-sqrt`
442×	`pow1`
442×	`*-un-lft-identity`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	22	76
1	479	64
2	5913	64

Stop Event

1×	node limit

Counts

2 → 89

Calls

Call 1

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

Outputs

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

simplify104.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1024×	`associate-/r*`
878×	`associate-*r/`
718×	`*-commutative`
712×	`unswap-sqr`
684×	`associate-+l+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	283	7255
1	685	6987
2	2661	6923

Stop Event

1×	node limit

Counts

125 → 166

Calls

Call 1

Inputs
(-.f64 (+.f64 (/.f64 (cos.f64 y) (+.f64 (sqrt.f64 5/4) 3/2)) (*.f64 1/2 (sqrt.f64 5))) 1/2)
(-.f64 (+.f64 (.f64 -1/2 (.f64 (pow.f64 x 2) (-.f64 (.f64 1/2 (sqrt.f64 5)) 1/2))) (+.f64 (/.f64 (cos.f64 y) (+.f64 (sqrt.f64 5/4) 3/2)) (.f64 1/2 (sqrt.f64 5)))) 1/2)
(-.f64 (+.f64 (.f64 -1/2 (.f64 (pow.f64 x 2) (-.f64 (.f64 1/2 (sqrt.f64 5)) 1/2))) (+.f64 (/.f64 (cos.f64 y) (+.f64 (sqrt.f64 5/4) 3/2)) (+.f64 (.f64 1/2 (sqrt.f64 5)) (.f64 1/24 (.f64 (pow.f64 x 4) (-.f64 (*.f64 1/2 (sqrt.f64 5)) 1/2)))))) 1/2)
(-.f64 (+.f64 (.f64 -1/2 (.f64 (pow.f64 x 2) (-.f64 (.f64 1/2 (sqrt.f64 5)) 1/2))) (+.f64 (/.f64 (cos.f64 y) (+.f64 (sqrt.f64 5/4) 3/2)) (+.f64 (.f64 1/2 (sqrt.f64 5)) (+.f64 (.f64 1/24 (.f64 (pow.f64 x 4) (-.f64 (.f64 1/2 (sqrt.f64 5)) 1/2))) (.f64 -1/720 (.f64 (pow.f64 x 6) (-.f64 (.f64 1/2 (sqrt.f64 5)) 1/2))))))) 1/2)
(+.f64 (/.f64 (cos.f64 y) (+.f64 (sqrt.f64 5/4) 3/2)) (.f64 (cos.f64 x) (-.f64 (.f64 1/2 (sqrt.f64 5)) 1/2)))
(+.f64 (/.f64 (cos.f64 y) (+.f64 (sqrt.f64 5/4) 3/2)) (.f64 (cos.f64 x) (-.f64 (.f64 1/2 (sqrt.f64 5)) 1/2)))
(+.f64 (/.f64 (cos.f64 y) (+.f64 (sqrt.f64 5/4) 3/2)) (.f64 (cos.f64 x) (-.f64 (.f64 1/2 (sqrt.f64 5)) 1/2)))
(+.f64 (/.f64 (cos.f64 y) (+.f64 (sqrt.f64 5/4) 3/2)) (.f64 (cos.f64 x) (-.f64 (.f64 1/2 (sqrt.f64 5)) 1/2)))
(+.f64 (/.f64 (cos.f64 y) (+.f64 (sqrt.f64 5/4) 3/2)) (.f64 (cos.f64 x) (-.f64 (.f64 1/2 (sqrt.f64 5)) 1/2)))
(+.f64 (/.f64 (cos.f64 y) (+.f64 (sqrt.f64 5/4) 3/2)) (.f64 (cos.f64 x) (-.f64 (.f64 1/2 (sqrt.f64 5)) 1/2)))
(+.f64 (/.f64 (cos.f64 y) (+.f64 (sqrt.f64 5/4) 3/2)) (.f64 (cos.f64 x) (-.f64 (.f64 1/2 (sqrt.f64 5)) 1/2)))
(+.f64 (/.f64 (cos.f64 y) (+.f64 (sqrt.f64 5/4) 3/2)) (.f64 (cos.f64 x) (-.f64 (.f64 1/2 (sqrt.f64 5)) 1/2)))
(+.f64 (/.f64 1 (+.f64 (sqrt.f64 5/4) 3/2)) (.f64 (cos.f64 x) (-.f64 (.f64 1/2 (sqrt.f64 5)) 1/2)))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 y 2) (+.f64 (sqrt.f64 5/4) 3/2))) (+.f64 (/.f64 1 (+.f64 (sqrt.f64 5/4) 3/2)) (.f64 (cos.f64 x) (-.f64 (*.f64 1/2 (sqrt.f64 5)) 1/2))))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 y 2) (+.f64 (sqrt.f64 5/4) 3/2))) (+.f64 (.f64 1/24 (/.f64 (pow.f64 y 4) (+.f64 (sqrt.f64 5/4) 3/2))) (+.f64 (/.f64 1 (+.f64 (sqrt.f64 5/4) 3/2)) (.f64 (cos.f64 x) (-.f64 (.f64 1/2 (sqrt.f64 5)) 1/2)))))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 y 2) (+.f64 (sqrt.f64 5/4) 3/2))) (+.f64 (.f64 -1/720 (/.f64 (pow.f64 y 6) (+.f64 (sqrt.f64 5/4) 3/2))) (+.f64 (.f64 1/24 (/.f64 (pow.f64 y 4) (+.f64 (sqrt.f64 5/4) 3/2))) (+.f64 (/.f64 1 (+.f64 (sqrt.f64 5/4) 3/2)) (.f64 (cos.f64 x) (-.f64 (*.f64 1/2 (sqrt.f64 5)) 1/2))))))
(+.f64 (/.f64 (cos.f64 y) (+.f64 (sqrt.f64 5/4) 3/2)) (.f64 (cos.f64 x) (-.f64 (.f64 1/2 (sqrt.f64 5)) 1/2)))
(+.f64 (/.f64 (cos.f64 y) (+.f64 (sqrt.f64 5/4) 3/2)) (.f64 (cos.f64 x) (-.f64 (.f64 1/2 (sqrt.f64 5)) 1/2)))
(+.f64 (/.f64 (cos.f64 y) (+.f64 (sqrt.f64 5/4) 3/2)) (.f64 (cos.f64 x) (-.f64 (.f64 1/2 (sqrt.f64 5)) 1/2)))
(+.f64 (/.f64 (cos.f64 y) (+.f64 (sqrt.f64 5/4) 3/2)) (.f64 (cos.f64 x) (-.f64 (.f64 1/2 (sqrt.f64 5)) 1/2)))
(+.f64 (/.f64 (cos.f64 y) (+.f64 (sqrt.f64 5/4) 3/2)) (.f64 (cos.f64 x) (-.f64 (.f64 1/2 (sqrt.f64 5)) 1/2)))
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(fma.f64 1 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) -1/2)) (.f64 (cos.f64 y) (-.f64 3/2 (sqrt.f64 5/4))))
(fma.f64 1 (.f64 (cos.f64 y) (-.f64 3/2 (sqrt.f64 5/4))) (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) -1/2)))
(fma.f64 (-.f64 3/2 (sqrt.f64 5/4)) (cos.f64 y) (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) -1/2)))
(fma.f64 (sqrt.f64 (.f64 (cos.f64 y) (-.f64 3/2 (sqrt.f64 5/4)))) (sqrt.f64 (.f64 (cos.f64 y) (-.f64 3/2 (sqrt.f64 5/4)))) (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) -1/2)))
(fma.f64 (sqrt.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) -1/2))) (sqrt.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) -1/2))) (*.f64 (cos.f64 y) (-.f64 3/2 (sqrt.f64 5/4))))
(fma.f64 (cbrt.f64 (pow.f64 (.f64 (cos.f64 y) (-.f64 3/2 (sqrt.f64 5/4))) 2)) (cbrt.f64 (.f64 (cos.f64 y) (-.f64 3/2 (sqrt.f64 5/4)))) (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) -1/2)))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) -1/2))) 2) (cbrt.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) -1/2))) (*.f64 (cos.f64 y) (-.f64 3/2 (sqrt.f64 5/4))))
(+.f64 (.f64 (cos.f64 x) (sqrt.f64 5/4)) (.f64 (cos.f64 x) -1/2))
(+.f64 (.f64 (cos.f64 x) -1/2) (.f64 (cos.f64 x) (sqrt.f64 5/4)))
(+.f64 (.f64 (sqrt.f64 5/4) (cos.f64 x)) (.f64 -1/2 (cos.f64 x)))
(+.f64 (.f64 -1/2 (cos.f64 x)) (.f64 (sqrt.f64 5/4) (cos.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) -1/2)))) 1)
(/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) 1/2))
(/.f64 1 (/.f64 (+.f64 (sqrt.f64 5/4) 1/2) (cos.f64 x)))
(/.f64 (sqrt.f64 (cos.f64 x)) (/.f64 (+.f64 (sqrt.f64 5/4) 1/2) (sqrt.f64 (cos.f64 x))))
(/.f64 (cbrt.f64 (cos.f64 x)) (/.f64 (+.f64 (sqrt.f64 5/4) 1/2) (pow.f64 (cbrt.f64 (cos.f64 x)) 2)))
(/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (/.f64 (+.f64 (sqrt.f64 5/4) 1/2) (cbrt.f64 (cos.f64 x))))
(/.f64 (+.f64 (pow.f64 5/4 3/2) -1/8) (/.f64 (+.f64 3/2 (*.f64 (sqrt.f64 5) 1/4)) (cos.f64 x)))
(/.f64 (.f64 (cos.f64 x) (+.f64 (pow.f64 5/4 3/2) -1/8)) (+.f64 3/2 (.f64 (sqrt.f64 5) 1/4)))
(/.f64 (.f64 (+.f64 (pow.f64 5/4 3/2) -1/8) (cos.f64 x)) (+.f64 3/2 (.f64 (sqrt.f64 5) 1/4)))
(/.f64 (/.f64 (cos.f64 x) 1) (+.f64 (sqrt.f64 5/4) 1/2))
(/.f64 (/.f64 (cos.f64 x) (sqrt.f64 (+.f64 (sqrt.f64 5/4) 1/2))) (sqrt.f64 (+.f64 (sqrt.f64 5/4) 1/2)))
(/.f64 (/.f64 (cos.f64 x) (*.f64 (cbrt.f64 (+.f64 (sqrt.f64 5/4) 1/2)) (cbrt.f64 (+.f64 (sqrt.f64 5/4) 1/2)))) (cbrt.f64 (+.f64 (sqrt.f64 5/4) 1/2)))
(/.f64 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1)) 1/2)
(/.f64 (/.f64 (.f64 (cos.f64 x) (+.f64 (pow.f64 5/4 3/2) -1/8)) 1) (+.f64 3/2 (.f64 (sqrt.f64 5) 1/4)))
(/.f64 (/.f64 (.f64 (cos.f64 x) (+.f64 (pow.f64 5/4 3/2) -1/8)) (sqrt.f64 (+.f64 3/2 (.f64 (sqrt.f64 5) 1/4)))) (sqrt.f64 (+.f64 3/2 (*.f64 (sqrt.f64 5) 1/4))))
(/.f64 (/.f64 (.f64 (cos.f64 x) (+.f64 (pow.f64 5/4 3/2) -1/8)) (.f64 (cbrt.f64 (+.f64 3/2 (.f64 (sqrt.f64 5) 1/4))) (cbrt.f64 (+.f64 3/2 (.f64 (sqrt.f64 5) 1/4))))) (cbrt.f64 (+.f64 3/2 (*.f64 (sqrt.f64 5) 1/4))))
(/.f64 (/.f64 (.f64 (+.f64 (pow.f64 5/4 3/2) -1/8) (cos.f64 x)) 1) (+.f64 3/2 (.f64 (sqrt.f64 5) 1/4)))
(/.f64 (/.f64 (.f64 (+.f64 (pow.f64 5/4 3/2) -1/8) (cos.f64 x)) (sqrt.f64 (+.f64 3/2 (.f64 (sqrt.f64 5) 1/4)))) (sqrt.f64 (+.f64 3/2 (*.f64 (sqrt.f64 5) 1/4))))
(/.f64 (/.f64 (.f64 (+.f64 (pow.f64 5/4 3/2) -1/8) (cos.f64 x)) (.f64 (cbrt.f64 (+.f64 3/2 (.f64 (sqrt.f64 5) 1/4))) (cbrt.f64 (+.f64 3/2 (.f64 (sqrt.f64 5) 1/4))))) (cbrt.f64 (+.f64 3/2 (*.f64 (sqrt.f64 5) 1/4))))
(pow.f64 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) -1/2)) 1)
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) -1/2))) 2)
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) -1/2))) 3)
(pow.f64 (pow.f64 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) -1/2)) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) -1/2)) 2))
(log.f64 (pow.f64 (exp.f64 (cos.f64 x)) (+.f64 (sqrt.f64 5/4) -1/2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) -1/2)))))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) -1/2)) 3))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) -1/2))))
(exp.f64 (log.f64 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) -1/2))))
(exp.f64 (.f64 (log.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) -1/2))) 1))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) -1/2))))

Outputs
(-.f64 (+.f64 (/.f64 (cos.f64 y) (+.f64 (sqrt.f64 5/4) 3/2)) (*.f64 1/2 (sqrt.f64 5))) 1/2)
(+.f64 (/.f64 (cos.f64 y) (+.f64 (sqrt.f64 5/4) 3/2)) (fma.f64 1/2 (sqrt.f64 5) -1/2))
(-.f64 (+.f64 (.f64 -1/2 (.f64 (pow.f64 x 2) (-.f64 (.f64 1/2 (sqrt.f64 5)) 1/2))) (+.f64 (/.f64 (cos.f64 y) (+.f64 (sqrt.f64 5/4) 3/2)) (.f64 1/2 (sqrt.f64 5)))) 1/2)
(+.f64 (.f64 -1/2 (.f64 (*.f64 x x) (fma.f64 1/2 (sqrt.f64 5) -1/2))) (+.f64 (/.f64 (cos.f64 y) (+.f64 (sqrt.f64 5/4) 3/2)) (fma.f64 1/2 (sqrt.f64 5) -1/2)))
(+.f64 (fma.f64 -1/2 (.f64 (.f64 x x) (fma.f64 1/2 (sqrt.f64 5) -1/2)) (/.f64 (cos.f64 y) (+.f64 (sqrt.f64 5/4) 3/2))) (fma.f64 1/2 (sqrt.f64 5) -1/2))
(+.f64 (/.f64 (cos.f64 y) (+.f64 (sqrt.f64 5/4) 3/2)) (.f64 (fma.f64 1/2 (sqrt.f64 5) -1/2) (+.f64 1 (.f64 -1/2 (*.f64 x x)))))
(-.f64 (+.f64 (.f64 -1/2 (.f64 (pow.f64 x 2) (-.f64 (.f64 1/2 (sqrt.f64 5)) 1/2))) (+.f64 (/.f64 (cos.f64 y) (+.f64 (sqrt.f64 5/4) 3/2)) (+.f64 (.f64 1/2 (sqrt.f64 5)) (.f64 1/24 (.f64 (pow.f64 x 4) (-.f64 (*.f64 1/2 (sqrt.f64 5)) 1/2)))))) 1/2)
(+.f64 (fma.f64 -1/2 (.f64 (.f64 x x) (fma.f64 1/2 (sqrt.f64 5) -1/2)) (+.f64 (/.f64 (cos.f64 y) (+.f64 (sqrt.f64 5/4) 3/2)) (fma.f64 1/2 (sqrt.f64 5) (.f64 1/24 (.f64 (fma.f64 1/2 (sqrt.f64 5) -1/2) (pow.f64 x 4)))))) -1/2)
(+.f64 -1/2 (+.f64 (/.f64 (cos.f64 y) (+.f64 (sqrt.f64 5/4) 3/2)) (fma.f64 -1/2 (.f64 (.f64 x x) (fma.f64 1/2 (sqrt.f64 5) -1/2)) (fma.f64 (.f64 1/24 (pow.f64 x 4)) (fma.f64 1/2 (sqrt.f64 5) -1/2) (.f64 1/2 (sqrt.f64 5))))))
(+.f64 (fma.f64 1/2 (sqrt.f64 5) (/.f64 (cos.f64 y) (+.f64 (sqrt.f64 5/4) 3/2))) (-.f64 (.f64 (fma.f64 1/2 (sqrt.f64 5) -1/2) (+.f64 (.f64 1/24 (pow.f64 x 4)) (.f64 -1/2 (.f64 x x)))) 1/2))
(-.f64 (+.f64 (.f64 -1/2 (.f64 (pow.f64 x 2) (-.f64 (.f64 1/2 (sqrt.f64 5)) 1/2))) (+.f64 (/.f64 (cos.f64 y) (+.f64 (sqrt.f64 5/4) 3/2)) (+.f64 (.f64 1/2 (sqrt.f64 5)) (+.f64 (.f64 1/24 (.f64 (pow.f64 x 4) (-.f64 (.f64 1/2 (sqrt.f64 5)) 1/2))) (.f64 -1/720 (.f64 (pow.f64 x 6) (-.f64 (.f64 1/2 (sqrt.f64 5)) 1/2))))))) 1/2)
(+.f64 (fma.f64 -1/2 (.f64 (.f64 x x) (fma.f64 1/2 (sqrt.f64 5) -1/2)) (+.f64 (/.f64 (cos.f64 y) (+.f64 (sqrt.f64 5/4) 3/2)) (fma.f64 1/2 (sqrt.f64 5) (fma.f64 1/24 (.f64 (fma.f64 1/2 (sqrt.f64 5) -1/2) (pow.f64 x 4)) (.f64 (*.f64 -1/720 (pow.f64 x 6)) (fma.f64 1/2 (sqrt.f64 5) -1/2)))))) -1/2)
(+.f64 -1/2 (+.f64 (/.f64 (cos.f64 y) (+.f64 (sqrt.f64 5/4) 3/2)) (fma.f64 -1/2 (.f64 (.f64 x x) (fma.f64 1/2 (sqrt.f64 5) -1/2)) (fma.f64 1/2 (sqrt.f64 5) (.f64 (fma.f64 1/2 (sqrt.f64 5) -1/2) (+.f64 (.f64 1/24 (pow.f64 x 4)) (*.f64 -1/720 (pow.f64 x 6))))))))
(+.f64 (fma.f64 1/2 (sqrt.f64 5) (/.f64 (cos.f64 y) (+.f64 (sqrt.f64 5/4) 3/2))) (-.f64 (.f64 (fma.f64 1/2 (sqrt.f64 5) -1/2) (+.f64 (+.f64 (.f64 -1/720 (pow.f64 x 6)) (.f64 1/24 (pow.f64 x 4))) (.f64 -1/2 (*.f64 x x)))) 1/2))
(+.f64 (/.f64 (cos.f64 y) (+.f64 (sqrt.f64 5/4) 3/2)) (.f64 (cos.f64 x) (-.f64 (.f64 1/2 (sqrt.f64 5)) 1/2)))
(+.f64 (/.f64 (cos.f64 y) (+.f64 (sqrt.f64 5/4) 3/2)) (*.f64 (fma.f64 1/2 (sqrt.f64 5) -1/2) (cos.f64 x)))
(fma.f64 (fma.f64 1/2 (sqrt.f64 5) -1/2) (cos.f64 x) (/.f64 (cos.f64 y) (+.f64 (sqrt.f64 5/4) 3/2)))
(+.f64 (/.f64 (cos.f64 y) (+.f64 (sqrt.f64 5/4) 3/2)) (.f64 (cos.f64 x) (-.f64 (.f64 1/2 (sqrt.f64 5)) 1/2)))
(+.f64 (/.f64 (cos.f64 y) (+.f64 (sqrt.f64 5/4) 3/2)) (*.f64 (fma.f64 1/2 (sqrt.f64 5) -1/2) (cos.f64 x)))
(fma.f64 (fma.f64 1/2 (sqrt.f64 5) -1/2) (cos.f64 x) (/.f64 (cos.f64 y) (+.f64 (sqrt.f64 5/4) 3/2)))
(+.f64 (/.f64 (cos.f64 y) (+.f64 (sqrt.f64 5/4) 3/2)) (.f64 (cos.f64 x) (-.f64 (.f64 1/2 (sqrt.f64 5)) 1/2)))
(+.f64 (/.f64 (cos.f64 y) (+.f64 (sqrt.f64 5/4) 3/2)) (*.f64 (fma.f64 1/2 (sqrt.f64 5) -1/2) (cos.f64 x)))
(fma.f64 (fma.f64 1/2 (sqrt.f64 5) -1/2) (cos.f64 x) (/.f64 (cos.f64 y) (+.f64 (sqrt.f64 5/4) 3/2)))
(+.f64 (/.f64 (cos.f64 y) (+.f64 (sqrt.f64 5/4) 3/2)) (.f64 (cos.f64 x) (-.f64 (.f64 1/2 (sqrt.f64 5)) 1/2)))
(+.f64 (/.f64 (cos.f64 y) (+.f64 (sqrt.f64 5/4) 3/2)) (*.f64 (fma.f64 1/2 (sqrt.f64 5) -1/2) (cos.f64 x)))
(fma.f64 (fma.f64 1/2 (sqrt.f64 5) -1/2) (cos.f64 x) (/.f64 (cos.f64 y) (+.f64 (sqrt.f64 5/4) 3/2)))
(+.f64 (/.f64 (cos.f64 y) (+.f64 (sqrt.f64 5/4) 3/2)) (.f64 (cos.f64 x) (-.f64 (.f64 1/2 (sqrt.f64 5)) 1/2)))
(+.f64 (/.f64 (cos.f64 y) (+.f64 (sqrt.f64 5/4) 3/2)) (*.f64 (fma.f64 1/2 (sqrt.f64 5) -1/2) (cos.f64 x)))
(fma.f64 (fma.f64 1/2 (sqrt.f64 5) -1/2) (cos.f64 x) (/.f64 (cos.f64 y) (+.f64 (sqrt.f64 5/4) 3/2)))
(+.f64 (/.f64 (cos.f64 y) (+.f64 (sqrt.f64 5/4) 3/2)) (.f64 (cos.f64 x) (-.f64 (.f64 1/2 (sqrt.f64 5)) 1/2)))
(+.f64 (/.f64 (cos.f64 y) (+.f64 (sqrt.f64 5/4) 3/2)) (*.f64 (fma.f64 1/2 (sqrt.f64 5) -1/2) (cos.f64 x)))
(fma.f64 (fma.f64 1/2 (sqrt.f64 5) -1/2) (cos.f64 x) (/.f64 (cos.f64 y) (+.f64 (sqrt.f64 5/4) 3/2)))
(+.f64 (/.f64 (cos.f64 y) (+.f64 (sqrt.f64 5/4) 3/2)) (.f64 (cos.f64 x) (-.f64 (.f64 1/2 (sqrt.f64 5)) 1/2)))
(+.f64 (/.f64 (cos.f64 y) (+.f64 (sqrt.f64 5/4) 3/2)) (*.f64 (fma.f64 1/2 (sqrt.f64 5) -1/2) (cos.f64 x)))
(fma.f64 (fma.f64 1/2 (sqrt.f64 5) -1/2) (cos.f64 x) (/.f64 (cos.f64 y) (+.f64 (sqrt.f64 5/4) 3/2)))
(+.f64 (/.f64 (cos.f64 y) (+.f64 (sqrt.f64 5/4) 3/2)) (.f64 (cos.f64 x) (-.f64 (.f64 1/2 (sqrt.f64 5)) 1/2)))
(+.f64 (/.f64 (cos.f64 y) (+.f64 (sqrt.f64 5/4) 3/2)) (*.f64 (fma.f64 1/2 (sqrt.f64 5) -1/2) (cos.f64 x)))
(fma.f64 (fma.f64 1/2 (sqrt.f64 5) -1/2) (cos.f64 x) (/.f64 (cos.f64 y) (+.f64 (sqrt.f64 5/4) 3/2)))
(+.f64 (/.f64 1 (+.f64 (sqrt.f64 5/4) 3/2)) (.f64 (cos.f64 x) (-.f64 (.f64 1/2 (sqrt.f64 5)) 1/2)))
(+.f64 (*.f64 (fma.f64 1/2 (sqrt.f64 5) -1/2) (cos.f64 x)) (/.f64 1 (+.f64 (sqrt.f64 5/4) 3/2)))
(fma.f64 (fma.f64 1/2 (sqrt.f64 5) -1/2) (cos.f64 x) (/.f64 1 (+.f64 (sqrt.f64 5/4) 3/2)))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 y 2) (+.f64 (sqrt.f64 5/4) 3/2))) (+.f64 (/.f64 1 (+.f64 (sqrt.f64 5/4) 3/2)) (.f64 (cos.f64 x) (-.f64 (*.f64 1/2 (sqrt.f64 5)) 1/2))))
(fma.f64 -1/2 (/.f64 (.f64 y y) (+.f64 (sqrt.f64 5/4) 3/2)) (+.f64 (.f64 (fma.f64 1/2 (sqrt.f64 5) -1/2) (cos.f64 x)) (/.f64 1 (+.f64 (sqrt.f64 5/4) 3/2))))
(fma.f64 -1/2 (/.f64 y (/.f64 (+.f64 (sqrt.f64 5/4) 3/2) y)) (fma.f64 (fma.f64 1/2 (sqrt.f64 5) -1/2) (cos.f64 x) (/.f64 1 (+.f64 (sqrt.f64 5/4) 3/2))))
(fma.f64 -1/2 (*.f64 (/.f64 y (+.f64 (sqrt.f64 5/4) 3/2)) y) (fma.f64 (fma.f64 1/2 (sqrt.f64 5) -1/2) (cos.f64 x) (/.f64 1 (+.f64 (sqrt.f64 5/4) 3/2))))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 y 2) (+.f64 (sqrt.f64 5/4) 3/2))) (+.f64 (.f64 1/24 (/.f64 (pow.f64 y 4) (+.f64 (sqrt.f64 5/4) 3/2))) (+.f64 (/.f64 1 (+.f64 (sqrt.f64 5/4) 3/2)) (.f64 (cos.f64 x) (-.f64 (.f64 1/2 (sqrt.f64 5)) 1/2)))))
(fma.f64 -1/2 (/.f64 (.f64 y y) (+.f64 (sqrt.f64 5/4) 3/2)) (fma.f64 1/24 (/.f64 (pow.f64 y 4) (+.f64 (sqrt.f64 5/4) 3/2)) (+.f64 (.f64 (fma.f64 1/2 (sqrt.f64 5) -1/2) (cos.f64 x)) (/.f64 1 (+.f64 (sqrt.f64 5/4) 3/2)))))
(fma.f64 -1/2 (/.f64 y (/.f64 (+.f64 (sqrt.f64 5/4) 3/2) y)) (fma.f64 1/24 (/.f64 (pow.f64 y 4) (+.f64 (sqrt.f64 5/4) 3/2)) (fma.f64 (fma.f64 1/2 (sqrt.f64 5) -1/2) (cos.f64 x) (/.f64 1 (+.f64 (sqrt.f64 5/4) 3/2)))))
(fma.f64 -1/2 (*.f64 (/.f64 y (+.f64 (sqrt.f64 5/4) 3/2)) y) (fma.f64 1/24 (/.f64 (pow.f64 y 4) (+.f64 (sqrt.f64 5/4) 3/2)) (fma.f64 (fma.f64 1/2 (sqrt.f64 5) -1/2) (cos.f64 x) (/.f64 1 (+.f64 (sqrt.f64 5/4) 3/2)))))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 y 2) (+.f64 (sqrt.f64 5/4) 3/2))) (+.f64 (.f64 -1/720 (/.f64 (pow.f64 y 6) (+.f64 (sqrt.f64 5/4) 3/2))) (+.f64 (.f64 1/24 (/.f64 (pow.f64 y 4) (+.f64 (sqrt.f64 5/4) 3/2))) (+.f64 (/.f64 1 (+.f64 (sqrt.f64 5/4) 3/2)) (.f64 (cos.f64 x) (-.f64 (*.f64 1/2 (sqrt.f64 5)) 1/2))))))
(fma.f64 -1/2 (/.f64 (.f64 y y) (+.f64 (sqrt.f64 5/4) 3/2)) (fma.f64 -1/720 (/.f64 (pow.f64 y 6) (+.f64 (sqrt.f64 5/4) 3/2)) (fma.f64 1/24 (/.f64 (pow.f64 y 4) (+.f64 (sqrt.f64 5/4) 3/2)) (+.f64 (.f64 (fma.f64 1/2 (sqrt.f64 5) -1/2) (cos.f64 x)) (/.f64 1 (+.f64 (sqrt.f64 5/4) 3/2))))))
(fma.f64 -1/2 (/.f64 y (/.f64 (+.f64 (sqrt.f64 5/4) 3/2) y)) (fma.f64 -1/720 (/.f64 (pow.f64 y 6) (+.f64 (sqrt.f64 5/4) 3/2)) (fma.f64 1/24 (/.f64 (pow.f64 y 4) (+.f64 (sqrt.f64 5/4) 3/2)) (fma.f64 (fma.f64 1/2 (sqrt.f64 5) -1/2) (cos.f64 x) (/.f64 1 (+.f64 (sqrt.f64 5/4) 3/2))))))
(fma.f64 -1/2 (*.f64 (/.f64 y (+.f64 (sqrt.f64 5/4) 3/2)) y) (fma.f64 -1/720 (/.f64 (pow.f64 y 6) (+.f64 (sqrt.f64 5/4) 3/2)) (fma.f64 1/24 (/.f64 (pow.f64 y 4) (+.f64 (sqrt.f64 5/4) 3/2)) (fma.f64 (fma.f64 1/2 (sqrt.f64 5) -1/2) (cos.f64 x) (/.f64 1 (+.f64 (sqrt.f64 5/4) 3/2))))))
(+.f64 (/.f64 (cos.f64 y) (+.f64 (sqrt.f64 5/4) 3/2)) (.f64 (cos.f64 x) (-.f64 (.f64 1/2 (sqrt.f64 5)) 1/2)))
(+.f64 (/.f64 (cos.f64 y) (+.f64 (sqrt.f64 5/4) 3/2)) (*.f64 (fma.f64 1/2 (sqrt.f64 5) -1/2) (cos.f64 x)))
(fma.f64 (fma.f64 1/2 (sqrt.f64 5) -1/2) (cos.f64 x) (/.f64 (cos.f64 y) (+.f64 (sqrt.f64 5/4) 3/2)))
(+.f64 (/.f64 (cos.f64 y) (+.f64 (sqrt.f64 5/4) 3/2)) (.f64 (cos.f64 x) (-.f64 (.f64 1/2 (sqrt.f64 5)) 1/2)))
(+.f64 (/.f64 (cos.f64 y) (+.f64 (sqrt.f64 5/4) 3/2)) (*.f64 (fma.f64 1/2 (sqrt.f64 5) -1/2) (cos.f64 x)))
(fma.f64 (fma.f64 1/2 (sqrt.f64 5) -1/2) (cos.f64 x) (/.f64 (cos.f64 y) (+.f64 (sqrt.f64 5/4) 3/2)))
(+.f64 (/.f64 (cos.f64 y) (+.f64 (sqrt.f64 5/4) 3/2)) (.f64 (cos.f64 x) (-.f64 (.f64 1/2 (sqrt.f64 5)) 1/2)))
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(*.f64 (cos.f64 x) (/.f64 (+.f64 (pow.f64 5/4 3/2) -1/8) (fma.f64 (sqrt.f64 5) 1/4 3/2)))
(/.f64 (/.f64 (.f64 (cos.f64 x) (+.f64 (pow.f64 5/4 3/2) -1/8)) (sqrt.f64 (+.f64 3/2 (.f64 (sqrt.f64 5) 1/4)))) (sqrt.f64 (+.f64 3/2 (*.f64 (sqrt.f64 5) 1/4))))
(.f64 (/.f64 (+.f64 (pow.f64 5/4 3/2) -1/8) (+.f64 3/2 (.f64 (sqrt.f64 5) 1/4))) (cos.f64 x))
(*.f64 (cos.f64 x) (/.f64 (+.f64 (pow.f64 5/4 3/2) -1/8) (fma.f64 (sqrt.f64 5) 1/4 3/2)))
(/.f64 (/.f64 (.f64 (cos.f64 x) (+.f64 (pow.f64 5/4 3/2) -1/8)) (.f64 (cbrt.f64 (+.f64 3/2 (.f64 (sqrt.f64 5) 1/4))) (cbrt.f64 (+.f64 3/2 (.f64 (sqrt.f64 5) 1/4))))) (cbrt.f64 (+.f64 3/2 (*.f64 (sqrt.f64 5) 1/4))))
(.f64 (/.f64 (+.f64 (pow.f64 5/4 3/2) -1/8) (+.f64 3/2 (.f64 (sqrt.f64 5) 1/4))) (cos.f64 x))
(*.f64 (cos.f64 x) (/.f64 (+.f64 (pow.f64 5/4 3/2) -1/8) (fma.f64 (sqrt.f64 5) 1/4 3/2)))
(/.f64 (/.f64 (.f64 (+.f64 (pow.f64 5/4 3/2) -1/8) (cos.f64 x)) 1) (+.f64 3/2 (.f64 (sqrt.f64 5) 1/4)))
(.f64 (/.f64 (+.f64 (pow.f64 5/4 3/2) -1/8) (+.f64 3/2 (.f64 (sqrt.f64 5) 1/4))) (cos.f64 x))
(*.f64 (cos.f64 x) (/.f64 (+.f64 (pow.f64 5/4 3/2) -1/8) (fma.f64 (sqrt.f64 5) 1/4 3/2)))
(/.f64 (/.f64 (.f64 (+.f64 (pow.f64 5/4 3/2) -1/8) (cos.f64 x)) (sqrt.f64 (+.f64 3/2 (.f64 (sqrt.f64 5) 1/4)))) (sqrt.f64 (+.f64 3/2 (*.f64 (sqrt.f64 5) 1/4))))
(.f64 (/.f64 (+.f64 (pow.f64 5/4 3/2) -1/8) (+.f64 3/2 (.f64 (sqrt.f64 5) 1/4))) (cos.f64 x))
(*.f64 (cos.f64 x) (/.f64 (+.f64 (pow.f64 5/4 3/2) -1/8) (fma.f64 (sqrt.f64 5) 1/4 3/2)))
(/.f64 (/.f64 (.f64 (+.f64 (pow.f64 5/4 3/2) -1/8) (cos.f64 x)) (.f64 (cbrt.f64 (+.f64 3/2 (.f64 (sqrt.f64 5) 1/4))) (cbrt.f64 (+.f64 3/2 (.f64 (sqrt.f64 5) 1/4))))) (cbrt.f64 (+.f64 3/2 (*.f64 (sqrt.f64 5) 1/4))))
(.f64 (/.f64 (+.f64 (pow.f64 5/4 3/2) -1/8) (+.f64 3/2 (.f64 (sqrt.f64 5) 1/4))) (cos.f64 x))
(*.f64 (cos.f64 x) (/.f64 (+.f64 (pow.f64 5/4 3/2) -1/8) (fma.f64 (sqrt.f64 5) 1/4 3/2)))
(pow.f64 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) -1/2)) 1)
(*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) -1/2))
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) -1/2))) 2)
(*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) -1/2))
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) -1/2))) 3)
(*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) -1/2))
(pow.f64 (pow.f64 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) -1/2)) 3) 1/3)
(*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) -1/2))
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) -1/2)) 2))
(fabs.f64 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) -1/2)))
(log.f64 (pow.f64 (exp.f64 (cos.f64 x)) (+.f64 (sqrt.f64 5/4) -1/2)))
(*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) -1/2))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) -1/2)))))
(*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) -1/2))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) -1/2)) 3))
(*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) -1/2))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) -1/2))))
(*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) -1/2))
(exp.f64 (log.f64 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) -1/2))))
(*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) -1/2))
(exp.f64 (.f64 (log.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) -1/2))) 1))
(*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) -1/2))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) -1/2))))
(*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) -1/2))

localize49.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 (+.f64 2 (.f64 (.f64 -1/16 (sqrt.f64 2)) (.f64 (+.f64 (cos.f64 x) -1) (pow.f64 (sin.f64 x) 2)))) (+.f64 3 (.f64 3/2 2)))
✓	0.2b	(.f64 (.f64 -1/16 (sqrt.f64 2)) (*.f64 (+.f64 (cos.f64 x) -1) (pow.f64 (sin.f64 x) 2)))
✓	0.3b	(pow.f64 (sin.f64 x) 2)
	1.2b	(+.f64 (cos.f64 x) -1)

Compiler

Compiled 95 to 72 computations (24.2% saved)

series35.0ms (0.1%)

Counts

3 → 28

Calls

9 calls:

Time	Variable		Point	Expression
30.0ms	x	@	inf	(.f64 (.f64 -1/16 (sqrt.f64 2)) (*.f64 (+.f64 (cos.f64 x) -1) (pow.f64 (sin.f64 x) 2)))
2.0ms	x	@	0	(.f64 (.f64 -1/16 (sqrt.f64 2)) (*.f64 (+.f64 (cos.f64 x) -1) (pow.f64 (sin.f64 x) 2)))
1.0ms	x	@	-inf	(.f64 (.f64 -1/16 (sqrt.f64 2)) (*.f64 (+.f64 (cos.f64 x) -1) (pow.f64 (sin.f64 x) 2)))
0.0ms	x	@	inf	(/.f64 (+.f64 2 (.f64 (.f64 -1/16 (sqrt.f64 2)) (.f64 (+.f64 (cos.f64 x) -1) (pow.f64 (sin.f64 x) 2)))) (+.f64 3 (.f64 3/2 2)))
0.0ms	x	@	-inf	(/.f64 (+.f64 2 (.f64 (.f64 -1/16 (sqrt.f64 2)) (.f64 (+.f64 (cos.f64 x) -1) (pow.f64 (sin.f64 x) 2)))) (+.f64 3 (.f64 3/2 2)))

rewrite87.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1838×	`associate-*r/`
1456×	`associate-*l/`
420×	`add-sqr-sqrt`
392×	`add-exp-log`
392×	`add-cbrt-cube`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	22	109
1	434	93
2	5132	93

Stop Event

1×	node limit

Counts

3 → 90

Calls

Call 1

Inputs

(pow.f64 (sin.f64 x) 2)

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

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

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 1/128) (*.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (sqrt.f64 1/128) (neg.f64 (pow.f64 (sin.f64 x) 2)))) (+.f64 (cos.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (sqrt.f64 1/128) (+.f64 -1 (pow.f64 (cos.f64 x) 3)))) (+.f64 1 (-.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (cos.f64 x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 1/128) (*.f64 (pow.f64 (sin.f64 x) 2) (neg.f64 (pow.f64 (sin.f64 x) 2)))) (+.f64 (cos.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 1/128) (*.f64 (pow.f64 (sin.f64 x) 2) (+.f64 -1 (pow.f64 (cos.f64 x) 3)))) (+.f64 1 (-.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (cos.f64 x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 1/128) (*.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (pow.f64 (sin.f64 x) 2))) (+.f64 (cos.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 1/128) (*.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 3)) (pow.f64 (sin.f64 x) 2))) (+.f64 1 (-.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (cos.f64 x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (sqrt.f64 1/128) (+.f64 (cos.f64 x) -1)) (-.f64 (cos.f64 (-.f64 x x)) (cos.f64 (+.f64 x x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (sqrt.f64 1/128) (pow.f64 (sin.f64 x) 2)) 1) (/.f64 (+.f64 (cos.f64 x) 1) (neg.f64 (pow.f64 (sin.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (sqrt.f64 1/128) (pow.f64 (sin.f64 x) 2)) 1) (/.f64 (+.f64 1 (-.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (cos.f64 x) -1))) (+.f64 -1 (pow.f64 (cos.f64 x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (sqrt.f64 1/128) (pow.f64 (sin.f64 x) 2)) (neg.f64 (pow.f64 (sin.f64 x) 2))) (+.f64 (cos.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (sqrt.f64 1/128) (pow.f64 (sin.f64 x) 2)) (+.f64 -1 (pow.f64 (cos.f64 x) 3))) (+.f64 1 (-.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (cos.f64 x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (sqrt.f64 1/128) (pow.f64 (sin.f64 x) 2)) (pow.f64 (sin.f64 x) 2)) (-.f64 -1 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (sqrt.f64 1/128) (pow.f64 (sin.f64 x) 2)) (neg.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)))) (neg.f64 (+.f64 (cos.f64 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (sqrt.f64 1/128) (pow.f64 (sin.f64 x) 2)) (neg.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 3)))) (neg.f64 (+.f64 1 (-.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (cos.f64 x) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 1/128) (+.f64 (cos.f64 x) -1)) 1) (-.f64 (cos.f64 (-.f64 x x)) (cos.f64 (+.f64 x x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (cos.f64 (-.f64 x x)) (cos.f64 (+.f64 x x))) (*.f64 (sqrt.f64 1/128) (+.f64 (cos.f64 x) -1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (*.f64 (pow.f64 (sin.f64 x) 2) (sqrt.f64 1/128))) (/.f64 (+.f64 (cos.f64 x) 1) (neg.f64 (pow.f64 (sin.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (*.f64 (pow.f64 (sin.f64 x) 2) (sqrt.f64 1/128))) (/.f64 (+.f64 1 (-.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (cos.f64 x) -1))) (+.f64 -1 (pow.f64 (cos.f64 x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (*.f64 (pow.f64 (sin.f64 x) 2) (sqrt.f64 1/128))) (+.f64 (cos.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 3)) (*.f64 (pow.f64 (sin.f64 x) 2) (sqrt.f64 1/128))) (+.f64 1 (-.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (cos.f64 x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (sin.f64 x) 2) (sqrt.f64 1/128))) (-.f64 -1 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (neg.f64 (pow.f64 (sin.f64 x) 2))) (*.f64 (pow.f64 (sin.f64 x) 2) (sqrt.f64 1/128))) (neg.f64 (+.f64 (cos.f64 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 3))) (*.f64 (pow.f64 (sin.f64 x) 2) (sqrt.f64 1/128))) (neg.f64 (+.f64 1 (-.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (cos.f64 x) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (neg.f64 (pow.f64 (sin.f64 x) 2))) (sqrt.f64 1/128)) (+.f64 (cos.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (+.f64 -1 (pow.f64 (cos.f64 x) 3))) (sqrt.f64 1/128)) (+.f64 1 (-.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (cos.f64 x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (pow.f64 (sin.f64 x) 2)) (sqrt.f64 1/128)) (+.f64 (cos.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 3)) (pow.f64 (sin.f64 x) 2)) (sqrt.f64 1/128)) (+.f64 1 (-.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (cos.f64 x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (sqrt.f64 1/128) (neg.f64 (pow.f64 (sin.f64 x) 2))) (pow.f64 (sin.f64 x) 2)) (+.f64 (cos.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (sqrt.f64 1/128) (+.f64 -1 (pow.f64 (cos.f64 x) 3))) (pow.f64 (sin.f64 x) 2)) (+.f64 1 (-.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (cos.f64 x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 1/128) (*.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 (*.f64 (sqrt.f64 1/128) (+.f64 (cos.f64 x) -1))) (sin.f64 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 1/128) (*.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sqrt.f64 1/128) (*.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 (pow.f64 (+.f64 (cos.f64 x) -1) 2) (pow.f64 (sin.f64 x) 4)) 1/128))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 (pow.f64 (sin.f64 x) 2)) (+.f64 (cos.f64 x) -1)) (sqrt.f64 1/128)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (sqrt.f64 1/128) (*.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 1/128) (*.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 1/128) (*.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sqrt.f64 1/128) (*.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 1/128) (*.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 1/128) (*.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1)))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (fma.f64 (sqrt.f64 1/128) (*.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1)) 2) 1/6))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (sqrt.f64 1/128) (*.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1)) 2) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (fma.f64 (sqrt.f64 1/128) (*.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1)) 2) 1/6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (fma.f64 (sqrt.f64 1/128) (*.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1)) 2) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (fma.f64 (sqrt.f64 1/128) (*.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1)) 2) 1/6)) (sqrt.f64 (*.f64 (fma.f64 (sqrt.f64 1/128) (*.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1)) 2) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (sqrt.f64 1/128) (*.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1)) 2)) (*.f64 (sqrt.f64 (fma.f64 (sqrt.f64 1/128) (*.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1)) 2)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (fma.f64 (sqrt.f64 1/128) (*.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1)) 2) 1/6)) (pow.f64 (cbrt.f64 (*.f64 (fma.f64 (sqrt.f64 1/128) (*.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1)) 2) 1/6)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (fma.f64 (sqrt.f64 1/128) (*.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1)) 2) 1/6)) 2) (cbrt.f64 (*.f64 (fma.f64 (sqrt.f64 1/128) (*.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1)) 2) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (sqrt.f64 1/128) (*.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1)) 2)) 2) (*.f64 (cbrt.f64 (fma.f64 (sqrt.f64 1/128) (*.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1)) 2)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/6 (fma.f64 (sqrt.f64 1/128) (*.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 -2 (*.f64 (sqrt.f64 1/128) (*.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1)))) -1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (fma.f64 (sqrt.f64 1/128) (*.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1)) 2) 1/6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (fma.f64 (sqrt.f64 1/128) (*.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1)) 2) 1/6)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (fma.f64 (sqrt.f64 1/128) (*.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1)) 2) 1/6)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (fma.f64 (sqrt.f64 1/128) (*.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1)) 2) 1/6) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 6 (fma.f64 (sqrt.f64 1/128) (*.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1)) 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (fma.f64 (sqrt.f64 1/128) (*.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1)) 2) -6))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (fma.f64 (sqrt.f64 1/128) (*.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1)) 2) 2) 1/36))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (fma.f64 (sqrt.f64 1/128) (*.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1)) 2)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (fma.f64 (sqrt.f64 1/128) (*.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1)) 2) 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (fma.f64 (sqrt.f64 1/128) (*.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1)) 2) 1/6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (fma.f64 (sqrt.f64 1/128) (*.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1)) 2) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (fma.f64 (sqrt.f64 1/128) (*.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1)) 2) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 (sqrt.f64 1/128) (*.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1)) 2) 1/6)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (fma.f64 (sqrt.f64 1/128) (*.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1)) 2) 1/6)))))))

simplify155.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1696×	`associate-/r*`
1406×	`associate-/l*`
1208×	`unswap-sqr`
448×	`associate-r`
396×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	288	5088
1	727	4844
2	2826	4760

Stop Event

1×	node limit

Counts

118 → 159

Calls

Call 1

Inputs
(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))))
(.f64 1/32 (.f64 (sqrt.f64 2) (pow.f64 x 4)))
(+.f64 (.f64 1/32 (.f64 (sqrt.f64 2) (pow.f64 x 4))) (.f64 -5/384 (.f64 (sqrt.f64 2) (pow.f64 x 6))))
(+.f64 (.f64 3/1280 (.f64 (sqrt.f64 2) (pow.f64 x 8))) (+.f64 (.f64 1/32 (.f64 (sqrt.f64 2) (pow.f64 x 4))) (.f64 -5/384 (.f64 (sqrt.f64 2) (pow.f64 x 6)))))
(+.f64 (.f64 3/1280 (.f64 (sqrt.f64 2) (pow.f64 x 8))) (+.f64 (.f64 -95/387072 (.f64 (sqrt.f64 2) (pow.f64 x 10))) (+.f64 (.f64 1/32 (.f64 (sqrt.f64 2) (pow.f64 x 4))) (.f64 -5/384 (.f64 (sqrt.f64 2) (pow.f64 x 6))))))
(.f64 -1/16 (.f64 (sqrt.f64 2) (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))
(.f64 -1/16 (.f64 (sqrt.f64 2) (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))
(.f64 -1/16 (.f64 (sqrt.f64 2) (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))
(.f64 -1/16 (.f64 (sqrt.f64 2) (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))
(.f64 -1/16 (.f64 (sqrt.f64 2) (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))
(.f64 -1/16 (.f64 (sqrt.f64 2) (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))
(.f64 -1/16 (.f64 (sqrt.f64 2) (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))
(.f64 -1/16 (.f64 (sqrt.f64 2) (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))
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 1/3 (.f64 -5/2304 (.f64 (sqrt.f64 2) (pow.f64 x 6)))))
(+.f64 (.f64 1/192 (.f64 (sqrt.f64 2) (pow.f64 x 4))) (+.f64 1/3 (+.f64 (.f64 -5/2304 (.f64 (sqrt.f64 2) (pow.f64 x 6))) (.f64 1/2560 (.f64 (sqrt.f64 2) (pow.f64 x 8))))))
(.f64 1/6 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))))
(.f64 1/6 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))))
(.f64 1/6 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))))
(.f64 1/6 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))))
(.f64 1/6 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))))
(.f64 1/6 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))))
(.f64 1/6 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))))
(.f64 1/6 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))))
(-.f64 1 (pow.f64 (cos.f64 x) 2))
(-.f64 1/2 (.f64 1/2 (cos.f64 (.f64 2 x))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (sin.f64 x) 2))) 1)
(*.f64 (sin.f64 x) (sin.f64 x))
(*.f64 (pow.f64 (sin.f64 x) 2) 1)
(*.f64 1 (pow.f64 (sin.f64 x) 2))
(.f64 (sqrt.f64 (sin.f64 x)) (.f64 (sqrt.f64 (sin.f64 x)) (sin.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (cbrt.f64 (pow.f64 (sin.f64 x) 4)))
(.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (.f64 (cbrt.f64 (sin.f64 x)) (sin.f64 x)))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 4)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))
(.f64 (.f64 (sin.f64 x) (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)))
(.f64 (.f64 (sin.f64 x) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (sin.f64 x)))
(/.f64 (-.f64 (cos.f64 (-.f64 x x)) (cos.f64 (+.f64 x x))) 2)
(/.f64 (*.f64 1 (-.f64 (cos.f64 (-.f64 x x)) (cos.f64 (+.f64 x x)))) 2)
(/.f64 (*.f64 (-.f64 (cos.f64 (-.f64 x x)) (cos.f64 (+.f64 x x))) 1) 2)
(sqrt.f64 (pow.f64 (sin.f64 x) 4))
(log.f64 (exp.f64 (pow.f64 (sin.f64 x) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (sin.f64 x) 2))))
(cbrt.f64 (pow.f64 (pow.f64 (sin.f64 x) 2) 3))
(expm1.f64 (log1p.f64 (pow.f64 (sin.f64 x) 2)))
(exp.f64 (*.f64 2 (log.f64 (sin.f64 x))))
(exp.f64 (.f64 (.f64 2 (log.f64 (sin.f64 x))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (sin.f64 x) 2)))
(-.f64 (exp.f64 (log1p.f64 (.f64 (sqrt.f64 1/128) (.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1))))) 1)
(/.f64 (.f64 (pow.f64 (sin.f64 x) 2) (.f64 (sqrt.f64 1/128) (neg.f64 (pow.f64 (sin.f64 x) 2)))) (+.f64 (cos.f64 x) 1))
(/.f64 (.f64 (pow.f64 (sin.f64 x) 2) (.f64 (sqrt.f64 1/128) (+.f64 -1 (pow.f64 (cos.f64 x) 3)))) (+.f64 1 (-.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (cos.f64 x) -1))))
(/.f64 (.f64 (sqrt.f64 1/128) (.f64 (pow.f64 (sin.f64 x) 2) (neg.f64 (pow.f64 (sin.f64 x) 2)))) (+.f64 (cos.f64 x) 1))
(/.f64 (.f64 (sqrt.f64 1/128) (.f64 (pow.f64 (sin.f64 x) 2) (+.f64 -1 (pow.f64 (cos.f64 x) 3)))) (+.f64 1 (-.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (cos.f64 x) -1))))
(/.f64 (.f64 (sqrt.f64 1/128) (.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (pow.f64 (sin.f64 x) 2))) (+.f64 (cos.f64 x) 1))
(/.f64 (.f64 (sqrt.f64 1/128) (.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 3)) (pow.f64 (sin.f64 x) 2))) (+.f64 1 (-.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (cos.f64 x) -1))))
(/.f64 (.f64 (.f64 (sqrt.f64 1/128) (+.f64 (cos.f64 x) -1)) (-.f64 (cos.f64 (-.f64 x x)) (cos.f64 (+.f64 x x)))) 2)
(/.f64 (.f64 (.f64 (sqrt.f64 1/128) (pow.f64 (sin.f64 x) 2)) 1) (/.f64 (+.f64 (cos.f64 x) 1) (neg.f64 (pow.f64 (sin.f64 x) 2))))
(/.f64 (.f64 (.f64 (sqrt.f64 1/128) (pow.f64 (sin.f64 x) 2)) 1) (/.f64 (+.f64 1 (-.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (cos.f64 x) -1))) (+.f64 -1 (pow.f64 (cos.f64 x) 3))))
(/.f64 (.f64 (.f64 (sqrt.f64 1/128) (pow.f64 (sin.f64 x) 2)) (neg.f64 (pow.f64 (sin.f64 x) 2))) (+.f64 (cos.f64 x) 1))
(/.f64 (.f64 (.f64 (sqrt.f64 1/128) (pow.f64 (sin.f64 x) 2)) (+.f64 -1 (pow.f64 (cos.f64 x) 3))) (+.f64 1 (-.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (cos.f64 x) -1))))
(/.f64 (.f64 (.f64 (sqrt.f64 1/128) (pow.f64 (sin.f64 x) 2)) (pow.f64 (sin.f64 x) 2)) (-.f64 -1 (cos.f64 x)))
(/.f64 (.f64 (.f64 (sqrt.f64 1/128) (pow.f64 (sin.f64 x) 2)) (neg.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)))) (neg.f64 (+.f64 (cos.f64 x) 1)))
(/.f64 (.f64 (.f64 (sqrt.f64 1/128) (pow.f64 (sin.f64 x) 2)) (neg.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 3)))) (neg.f64 (+.f64 1 (-.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (cos.f64 x) -1)))))
(/.f64 (.f64 (.f64 (*.f64 (sqrt.f64 1/128) (+.f64 (cos.f64 x) -1)) 1) (-.f64 (cos.f64 (-.f64 x x)) (cos.f64 (+.f64 x x)))) 2)
(/.f64 (.f64 (-.f64 (cos.f64 (-.f64 x x)) (cos.f64 (+.f64 x x))) (.f64 (sqrt.f64 1/128) (+.f64 (cos.f64 x) -1))) 2)
(/.f64 (.f64 1 (.f64 (pow.f64 (sin.f64 x) 2) (sqrt.f64 1/128))) (/.f64 (+.f64 (cos.f64 x) 1) (neg.f64 (pow.f64 (sin.f64 x) 2))))
(/.f64 (.f64 1 (.f64 (pow.f64 (sin.f64 x) 2) (sqrt.f64 1/128))) (/.f64 (+.f64 1 (-.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (cos.f64 x) -1))) (+.f64 -1 (pow.f64 (cos.f64 x) 3))))
(/.f64 (.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (.f64 (pow.f64 (sin.f64 x) 2) (sqrt.f64 1/128))) (+.f64 (cos.f64 x) 1))
(/.f64 (.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 3)) (.f64 (pow.f64 (sin.f64 x) 2) (sqrt.f64 1/128))) (+.f64 1 (-.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (cos.f64 x) -1))))
(/.f64 (.f64 (pow.f64 (sin.f64 x) 2) (.f64 (pow.f64 (sin.f64 x) 2) (sqrt.f64 1/128))) (-.f64 -1 (cos.f64 x)))
(/.f64 (.f64 (neg.f64 (neg.f64 (pow.f64 (sin.f64 x) 2))) (.f64 (pow.f64 (sin.f64 x) 2) (sqrt.f64 1/128))) (neg.f64 (+.f64 (cos.f64 x) 1)))
(/.f64 (.f64 (neg.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 3))) (.f64 (pow.f64 (sin.f64 x) 2) (sqrt.f64 1/128))) (neg.f64 (+.f64 1 (-.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (cos.f64 x) -1)))))
(/.f64 (.f64 (.f64 (pow.f64 (sin.f64 x) 2) (neg.f64 (pow.f64 (sin.f64 x) 2))) (sqrt.f64 1/128)) (+.f64 (cos.f64 x) 1))
(/.f64 (.f64 (.f64 (pow.f64 (sin.f64 x) 2) (+.f64 -1 (pow.f64 (cos.f64 x) 3))) (sqrt.f64 1/128)) (+.f64 1 (-.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (cos.f64 x) -1))))
(/.f64 (.f64 (.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (pow.f64 (sin.f64 x) 2)) (sqrt.f64 1/128)) (+.f64 (cos.f64 x) 1))
(/.f64 (.f64 (.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 3)) (pow.f64 (sin.f64 x) 2)) (sqrt.f64 1/128)) (+.f64 1 (-.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (cos.f64 x) -1))))
(/.f64 (.f64 (.f64 (sqrt.f64 1/128) (neg.f64 (pow.f64 (sin.f64 x) 2))) (pow.f64 (sin.f64 x) 2)) (+.f64 (cos.f64 x) 1))
(/.f64 (.f64 (.f64 (sqrt.f64 1/128) (+.f64 -1 (pow.f64 (cos.f64 x) 3))) (pow.f64 (sin.f64 x) 2)) (+.f64 1 (-.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (cos.f64 x) -1))))
(pow.f64 (.f64 (sqrt.f64 1/128) (.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1))) 1)
(pow.f64 (.f64 (sqrt.f64 (.f64 (sqrt.f64 1/128) (+.f64 (cos.f64 x) -1))) (sin.f64 x)) 2)
(pow.f64 (cbrt.f64 (.f64 (sqrt.f64 1/128) (.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1)))) 3)
(pow.f64 (pow.f64 (.f64 (sqrt.f64 1/128) (.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1))) 3) 1/3)
(sqrt.f64 (.f64 (.f64 (pow.f64 (+.f64 (cos.f64 x) -1) 2) (pow.f64 (sin.f64 x) 4)) 1/128))
(log.f64 (pow.f64 (pow.f64 (exp.f64 (pow.f64 (sin.f64 x) 2)) (+.f64 (cos.f64 x) -1)) (sqrt.f64 1/128)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (sqrt.f64 1/128) (.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1))))))
(cbrt.f64 (pow.f64 (.f64 (sqrt.f64 1/128) (.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1))) 3))
(expm1.f64 (log1p.f64 (.f64 (sqrt.f64 1/128) (.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1)))))
(exp.f64 (log.f64 (.f64 (sqrt.f64 1/128) (.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1)))))
(exp.f64 (.f64 (log.f64 (.f64 (sqrt.f64 1/128) (*.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1)))) 1))
(log1p.f64 (expm1.f64 (.f64 (sqrt.f64 1/128) (.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1)))))
(-.f64 (exp.f64 (log1p.f64 (.f64 (fma.f64 (sqrt.f64 1/128) (.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1)) 2) 1/6))) 1)
(.f64 (fma.f64 (sqrt.f64 1/128) (.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1)) 2) 1/6)
(.f64 (.f64 (fma.f64 (sqrt.f64 1/128) (*.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1)) 2) 1/6) 1)
(.f64 1 (.f64 (fma.f64 (sqrt.f64 1/128) (*.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1)) 2) 1/6))
(.f64 (sqrt.f64 (.f64 (fma.f64 (sqrt.f64 1/128) (.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1)) 2) 1/6)) (sqrt.f64 (.f64 (fma.f64 (sqrt.f64 1/128) (*.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1)) 2) 1/6)))
(.f64 (sqrt.f64 (fma.f64 (sqrt.f64 1/128) (.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1)) 2)) (.f64 (sqrt.f64 (fma.f64 (sqrt.f64 1/128) (.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1)) 2)) 1/6))
(.f64 (cbrt.f64 (.f64 (fma.f64 (sqrt.f64 1/128) (.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1)) 2) 1/6)) (pow.f64 (cbrt.f64 (.f64 (fma.f64 (sqrt.f64 1/128) (*.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1)) 2) 1/6)) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 (fma.f64 (sqrt.f64 1/128) (.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1)) 2) 1/6)) 2) (cbrt.f64 (.f64 (fma.f64 (sqrt.f64 1/128) (*.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1)) 2) 1/6)))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 (sqrt.f64 1/128) (.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1)) 2)) 2) (.f64 (cbrt.f64 (fma.f64 (sqrt.f64 1/128) (.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1)) 2)) 1/6))
(.f64 1/6 (fma.f64 (sqrt.f64 1/128) (.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1)) 2))
(.f64 (-.f64 -2 (.f64 (sqrt.f64 1/128) (*.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1)))) -1/6)
(pow.f64 (.f64 (fma.f64 (sqrt.f64 1/128) (.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1)) 2) 1/6) 1)
(pow.f64 (sqrt.f64 (.f64 (fma.f64 (sqrt.f64 1/128) (.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1)) 2) 1/6)) 2)
(pow.f64 (cbrt.f64 (.f64 (fma.f64 (sqrt.f64 1/128) (.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1)) 2) 1/6)) 3)
(pow.f64 (pow.f64 (.f64 (fma.f64 (sqrt.f64 1/128) (.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1)) 2) 1/6) 3) 1/3)
(pow.f64 (/.f64 6 (fma.f64 (sqrt.f64 1/128) (*.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1)) 2)) -1)
(neg.f64 (/.f64 (fma.f64 (sqrt.f64 1/128) (*.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1)) 2) -6))
(sqrt.f64 (.f64 (pow.f64 (fma.f64 (sqrt.f64 1/128) (.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1)) 2) 2) 1/36))
(log.f64 (pow.f64 (exp.f64 (fma.f64 (sqrt.f64 1/128) (*.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1)) 2)) 1/6))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (fma.f64 (sqrt.f64 1/128) (.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1)) 2) 1/6))))
(cbrt.f64 (pow.f64 (.f64 (fma.f64 (sqrt.f64 1/128) (.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1)) 2) 1/6) 3))
(expm1.f64 (log1p.f64 (.f64 (fma.f64 (sqrt.f64 1/128) (.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1)) 2) 1/6)))
(exp.f64 (log.f64 (.f64 (fma.f64 (sqrt.f64 1/128) (.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1)) 2) 1/6)))
(exp.f64 (.f64 (log.f64 (.f64 (fma.f64 (sqrt.f64 1/128) (*.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1)) 2) 1/6)) 1))
(log1p.f64 (expm1.f64 (.f64 (fma.f64 (sqrt.f64 1/128) (.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1)) 2) 1/6)))

Outputs
(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 -1/3 (pow.f64 x 4)))
(+.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 -1/3 (pow.f64 x 4) (fma.f64 x x (*.f64 2/45 (pow.f64 x 6))))
(+.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 -1/3 (pow.f64 x 4) (fma.f64 -1/315 (pow.f64 x 8) (fma.f64 x x (*.f64 2/45 (pow.f64 x 6)))))
(.f64 1/32 (.f64 (sqrt.f64 2) (pow.f64 x 4)))
(.f64 1/32 (.f64 (pow.f64 x 4) (sqrt.f64 2)))
(.f64 (sqrt.f64 2) (.f64 (pow.f64 x 4) 1/32))
(+.f64 (.f64 1/32 (.f64 (sqrt.f64 2) (pow.f64 x 4))) (.f64 -5/384 (.f64 (sqrt.f64 2) (pow.f64 x 6))))
(fma.f64 1/32 (.f64 (pow.f64 x 4) (sqrt.f64 2)) (.f64 -5/384 (*.f64 (pow.f64 x 6) (sqrt.f64 2))))
(fma.f64 1/32 (.f64 (pow.f64 x 4) (sqrt.f64 2)) (.f64 (pow.f64 x 6) (*.f64 (sqrt.f64 2) -5/384)))
(.f64 (sqrt.f64 2) (+.f64 (.f64 (pow.f64 x 6) -5/384) (*.f64 (pow.f64 x 4) 1/32)))
(+.f64 (.f64 3/1280 (.f64 (sqrt.f64 2) (pow.f64 x 8))) (+.f64 (.f64 1/32 (.f64 (sqrt.f64 2) (pow.f64 x 4))) (.f64 -5/384 (.f64 (sqrt.f64 2) (pow.f64 x 6)))))
(fma.f64 3/1280 (.f64 (pow.f64 x 8) (sqrt.f64 2)) (fma.f64 1/32 (.f64 (pow.f64 x 4) (sqrt.f64 2)) (.f64 -5/384 (.f64 (pow.f64 x 6) (sqrt.f64 2)))))
(fma.f64 3/1280 (.f64 (pow.f64 x 8) (sqrt.f64 2)) (fma.f64 1/32 (.f64 (pow.f64 x 4) (sqrt.f64 2)) (.f64 (pow.f64 x 6) (.f64 (sqrt.f64 2) -5/384))))
(fma.f64 3/1280 (.f64 (pow.f64 x 8) (sqrt.f64 2)) (.f64 (sqrt.f64 2) (+.f64 (.f64 (pow.f64 x 6) -5/384) (.f64 (pow.f64 x 4) 1/32))))
(+.f64 (.f64 3/1280 (.f64 (sqrt.f64 2) (pow.f64 x 8))) (+.f64 (.f64 -95/387072 (.f64 (sqrt.f64 2) (pow.f64 x 10))) (+.f64 (.f64 1/32 (.f64 (sqrt.f64 2) (pow.f64 x 4))) (.f64 -5/384 (.f64 (sqrt.f64 2) (pow.f64 x 6))))))
(fma.f64 3/1280 (.f64 (pow.f64 x 8) (sqrt.f64 2)) (fma.f64 -95/387072 (.f64 (sqrt.f64 2) (pow.f64 x 10)) (fma.f64 1/32 (.f64 (pow.f64 x 4) (sqrt.f64 2)) (.f64 -5/384 (*.f64 (pow.f64 x 6) (sqrt.f64 2))))))
(fma.f64 3/1280 (.f64 (pow.f64 x 8) (sqrt.f64 2)) (fma.f64 -95/387072 (.f64 (sqrt.f64 2) (pow.f64 x 10)) (fma.f64 1/32 (.f64 (pow.f64 x 4) (sqrt.f64 2)) (.f64 (pow.f64 x 6) (*.f64 (sqrt.f64 2) -5/384)))))
(+.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 (pow.f64 x 4) 1/32) (.f64 (pow.f64 x 10) -95/387072))) (.f64 (sqrt.f64 2) (+.f64 (.f64 (pow.f64 x 8) 3/1280) (.f64 (pow.f64 x 6) -5/384))))
(.f64 -1/16 (.f64 (sqrt.f64 2) (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))
(.f64 -1/16 (.f64 (*.f64 (sqrt.f64 2) (pow.f64 (sin.f64 x) 2)) (+.f64 (cos.f64 x) -1)))
(.f64 (sqrt.f64 2) (.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1)) -1/16))
(.f64 -1/16 (.f64 (sqrt.f64 2) (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))
(.f64 -1/16 (.f64 (*.f64 (sqrt.f64 2) (pow.f64 (sin.f64 x) 2)) (+.f64 (cos.f64 x) -1)))
(.f64 (sqrt.f64 2) (.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1)) -1/16))
(.f64 -1/16 (.f64 (sqrt.f64 2) (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))
(.f64 -1/16 (.f64 (*.f64 (sqrt.f64 2) (pow.f64 (sin.f64 x) 2)) (+.f64 (cos.f64 x) -1)))
(.f64 (sqrt.f64 2) (.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1)) -1/16))
(.f64 -1/16 (.f64 (sqrt.f64 2) (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))
(.f64 -1/16 (.f64 (*.f64 (sqrt.f64 2) (pow.f64 (sin.f64 x) 2)) (+.f64 (cos.f64 x) -1)))
(.f64 (sqrt.f64 2) (.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1)) -1/16))
(.f64 -1/16 (.f64 (sqrt.f64 2) (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))
(.f64 -1/16 (.f64 (*.f64 (sqrt.f64 2) (pow.f64 (sin.f64 x) 2)) (+.f64 (cos.f64 x) -1)))
(.f64 (sqrt.f64 2) (.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1)) -1/16))
(.f64 -1/16 (.f64 (sqrt.f64 2) (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))
(.f64 -1/16 (.f64 (*.f64 (sqrt.f64 2) (pow.f64 (sin.f64 x) 2)) (+.f64 (cos.f64 x) -1)))
(.f64 (sqrt.f64 2) (.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1)) -1/16))
(.f64 -1/16 (.f64 (sqrt.f64 2) (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))
(.f64 -1/16 (.f64 (*.f64 (sqrt.f64 2) (pow.f64 (sin.f64 x) 2)) (+.f64 (cos.f64 x) -1)))
(.f64 (sqrt.f64 2) (.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1)) -1/16))
(.f64 -1/16 (.f64 (sqrt.f64 2) (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))
(.f64 -1/16 (.f64 (*.f64 (sqrt.f64 2) (pow.f64 (sin.f64 x) 2)) (+.f64 (cos.f64 x) -1)))
(.f64 (sqrt.f64 2) (.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1)) -1/16))
1/3
(+.f64 (.f64 1/192 (.f64 (sqrt.f64 2) (pow.f64 x 4))) 1/3)
(fma.f64 1/192 (*.f64 (pow.f64 x 4) (sqrt.f64 2)) 1/3)
(fma.f64 (*.f64 (pow.f64 x 4) (sqrt.f64 2)) 1/192 1/3)
(+.f64 (.f64 1/192 (.f64 (sqrt.f64 2) (pow.f64 x 4))) (+.f64 1/3 (.f64 -5/2304 (.f64 (sqrt.f64 2) (pow.f64 x 6)))))
(+.f64 (fma.f64 1/192 (.f64 (pow.f64 x 4) (sqrt.f64 2)) 1/3) (.f64 (*.f64 (pow.f64 x 6) (sqrt.f64 2)) -5/2304))
(fma.f64 (.f64 (pow.f64 x 4) (sqrt.f64 2)) 1/192 (fma.f64 (.f64 (pow.f64 x 6) (sqrt.f64 2)) -5/2304 1/3))
(+.f64 1/3 (.f64 (sqrt.f64 2) (+.f64 (.f64 (pow.f64 x 4) 1/192) (*.f64 (pow.f64 x 6) -5/2304))))
(+.f64 (.f64 1/192 (.f64 (sqrt.f64 2) (pow.f64 x 4))) (+.f64 1/3 (+.f64 (.f64 -5/2304 (.f64 (sqrt.f64 2) (pow.f64 x 6))) (.f64 1/2560 (.f64 (sqrt.f64 2) (pow.f64 x 8))))))
(+.f64 (fma.f64 1/192 (.f64 (pow.f64 x 4) (sqrt.f64 2)) 1/3) (fma.f64 -5/2304 (.f64 (pow.f64 x 6) (sqrt.f64 2)) (.f64 (.f64 (pow.f64 x 8) (sqrt.f64 2)) 1/2560)))
(+.f64 (fma.f64 (.f64 (pow.f64 x 4) (sqrt.f64 2)) 1/192 1/3) (fma.f64 (.f64 (pow.f64 x 6) (sqrt.f64 2)) -5/2304 (.f64 (pow.f64 x 8) (.f64 (sqrt.f64 2) 1/2560))))
(+.f64 (fma.f64 (.f64 (pow.f64 x 4) (sqrt.f64 2)) 1/192 1/3) (.f64 (sqrt.f64 2) (+.f64 (.f64 -5/2304 (pow.f64 x 6)) (.f64 1/2560 (pow.f64 x 8)))))
(.f64 1/6 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))))
(+.f64 1/3 (.f64 (.f64 -1/16 (.f64 (.f64 (sqrt.f64 2) (pow.f64 (sin.f64 x) 2)) (+.f64 (cos.f64 x) -1))) 1/6))
(+.f64 1/3 (.f64 (.f64 (sqrt.f64 2) (*.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1))) -1/96))
(.f64 1/6 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))))
(+.f64 1/3 (.f64 (.f64 -1/16 (.f64 (.f64 (sqrt.f64 2) (pow.f64 (sin.f64 x) 2)) (+.f64 (cos.f64 x) -1))) 1/6))
(+.f64 1/3 (.f64 (.f64 (sqrt.f64 2) (*.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1))) -1/96))
(.f64 1/6 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))))
(+.f64 1/3 (.f64 (.f64 -1/16 (.f64 (.f64 (sqrt.f64 2) (pow.f64 (sin.f64 x) 2)) (+.f64 (cos.f64 x) -1))) 1/6))
(+.f64 1/3 (.f64 (.f64 (sqrt.f64 2) (*.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1))) -1/96))
(.f64 1/6 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))))
(+.f64 1/3 (.f64 (.f64 -1/16 (.f64 (.f64 (sqrt.f64 2) (pow.f64 (sin.f64 x) 2)) (+.f64 (cos.f64 x) -1))) 1/6))
(+.f64 1/3 (.f64 (.f64 (sqrt.f64 2) (*.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1))) -1/96))
(.f64 1/6 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))))
(+.f64 1/3 (.f64 (.f64 -1/16 (.f64 (.f64 (sqrt.f64 2) (pow.f64 (sin.f64 x) 2)) (+.f64 (cos.f64 x) -1))) 1/6))
(+.f64 1/3 (.f64 (.f64 (sqrt.f64 2) (*.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1))) -1/96))
(.f64 1/6 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))))
(+.f64 1/3 (.f64 (.f64 -1/16 (.f64 (.f64 (sqrt.f64 2) (pow.f64 (sin.f64 x) 2)) (+.f64 (cos.f64 x) -1))) 1/6))
(+.f64 1/3 (.f64 (.f64 (sqrt.f64 2) (*.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1))) -1/96))
(.f64 1/6 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))))
(+.f64 1/3 (.f64 (.f64 -1/16 (.f64 (.f64 (sqrt.f64 2) (pow.f64 (sin.f64 x) 2)) (+.f64 (cos.f64 x) -1))) 1/6))
(+.f64 1/3 (.f64 (.f64 (sqrt.f64 2) (*.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1))) -1/96))
(.f64 1/6 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))))
(+.f64 1/3 (.f64 (.f64 -1/16 (.f64 (.f64 (sqrt.f64 2) (pow.f64 (sin.f64 x) 2)) (+.f64 (cos.f64 x) -1))) 1/6))
(+.f64 1/3 (.f64 (.f64 (sqrt.f64 2) (*.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1))) -1/96))
(-.f64 1 (pow.f64 (cos.f64 x) 2))
(pow.f64 (sin.f64 x) 2)
(-.f64 1/2 (.f64 1/2 (cos.f64 (.f64 2 x))))
(+.f64 1/2 (*.f64 -1/2 (cos.f64 (+.f64 x x))))
(+.f64 1/2 (*.f64 (cos.f64 (+.f64 x x)) -1/2))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (sin.f64 x) 2))) 1)
(-.f64 1 (pow.f64 (cos.f64 x) 2))
(pow.f64 (sin.f64 x) 2)
(*.f64 (sin.f64 x) (sin.f64 x))
(-.f64 1 (pow.f64 (cos.f64 x) 2))
(pow.f64 (sin.f64 x) 2)
(*.f64 (pow.f64 (sin.f64 x) 2) 1)
(-.f64 1 (pow.f64 (cos.f64 x) 2))
(pow.f64 (sin.f64 x) 2)
(*.f64 1 (pow.f64 (sin.f64 x) 2))
(-.f64 1 (pow.f64 (cos.f64 x) 2))
(pow.f64 (sin.f64 x) 2)
(.f64 (sqrt.f64 (sin.f64 x)) (.f64 (sqrt.f64 (sin.f64 x)) (sin.f64 x)))
(-.f64 1 (pow.f64 (cos.f64 x) 2))
(pow.f64 (sin.f64 x) 2)
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (cbrt.f64 (pow.f64 (sin.f64 x) 4)))
(.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (.f64 (cbrt.f64 (sin.f64 x)) (sin.f64 x)))
(-.f64 1 (pow.f64 (cos.f64 x) 2))
(pow.f64 (sin.f64 x) 2)
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 4)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (cbrt.f64 (pow.f64 (sin.f64 x) 4)))
(.f64 (.f64 (sin.f64 x) (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)))
(-.f64 1 (pow.f64 (cos.f64 x) 2))
(pow.f64 (sin.f64 x) 2)
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(.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 3)) (/.f64 (.f64 (pow.f64 (sin.f64 x) 2) (sqrt.f64 1/128)) (+.f64 1 (*.f64 (cos.f64 x) (-.f64 (cos.f64 x) -1)))))
(.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 3)) (/.f64 (.f64 (pow.f64 (sin.f64 x) 2) (sqrt.f64 1/128)) (+.f64 1 (*.f64 (cos.f64 x) (+.f64 (cos.f64 x) 1)))))
(/.f64 (.f64 (.f64 (sqrt.f64 1/128) (neg.f64 (pow.f64 (sin.f64 x) 2))) (pow.f64 (sin.f64 x) 2)) (+.f64 (cos.f64 x) 1))
(/.f64 (sqrt.f64 1/128) (/.f64 (+.f64 (cos.f64 x) 1) (neg.f64 (pow.f64 (sin.f64 x) 4))))
(*.f64 (/.f64 (sqrt.f64 1/128) (+.f64 (cos.f64 x) 1)) (neg.f64 (pow.f64 (sin.f64 x) 4)))
(*.f64 (/.f64 (pow.f64 (sin.f64 x) 4) (-.f64 -1 (cos.f64 x))) (sqrt.f64 1/128))
(/.f64 (.f64 (.f64 (sqrt.f64 1/128) (+.f64 -1 (pow.f64 (cos.f64 x) 3))) (pow.f64 (sin.f64 x) 2)) (+.f64 1 (-.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (cos.f64 x) -1))))
(.f64 (/.f64 (.f64 (pow.f64 (sin.f64 x) 2) (sqrt.f64 1/128)) (+.f64 1 (-.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (cos.f64 x) -1)))) (+.f64 -1 (pow.f64 (cos.f64 x) 3)))
(.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 3)) (/.f64 (.f64 (pow.f64 (sin.f64 x) 2) (sqrt.f64 1/128)) (+.f64 1 (*.f64 (cos.f64 x) (-.f64 (cos.f64 x) -1)))))
(.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 3)) (/.f64 (.f64 (pow.f64 (sin.f64 x) 2) (sqrt.f64 1/128)) (+.f64 1 (*.f64 (cos.f64 x) (+.f64 (cos.f64 x) 1)))))
(pow.f64 (.f64 (sqrt.f64 1/128) (.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1))) 1)
(.f64 (sqrt.f64 1/128) (.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1)))
(.f64 (pow.f64 (sin.f64 x) 2) (.f64 (sqrt.f64 1/128) (+.f64 (cos.f64 x) -1)))
(pow.f64 (.f64 (sqrt.f64 (.f64 (sqrt.f64 1/128) (+.f64 (cos.f64 x) -1))) (sin.f64 x)) 2)
(pow.f64 (.f64 (sin.f64 x) (sqrt.f64 (.f64 (sqrt.f64 1/128) (+.f64 (cos.f64 x) -1)))) 2)
(pow.f64 (cbrt.f64 (.f64 (sqrt.f64 1/128) (.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1)))) 3)
(.f64 (sqrt.f64 1/128) (.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1)))
(.f64 (pow.f64 (sin.f64 x) 2) (.f64 (sqrt.f64 1/128) (+.f64 (cos.f64 x) -1)))
(pow.f64 (pow.f64 (.f64 (sqrt.f64 1/128) (.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1))) 3) 1/3)
(.f64 (sqrt.f64 1/128) (.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1)))
(.f64 (pow.f64 (sin.f64 x) 2) (.f64 (sqrt.f64 1/128) (+.f64 (cos.f64 x) -1)))
(sqrt.f64 (.f64 (.f64 (pow.f64 (+.f64 (cos.f64 x) -1) 2) (pow.f64 (sin.f64 x) 4)) 1/128))
(sqrt.f64 (.f64 1/128 (.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (+.f64 (cos.f64 x) -1) 2))))
(sqrt.f64 (.f64 (pow.f64 (sin.f64 x) 4) (.f64 (pow.f64 (+.f64 (cos.f64 x) -1) 2) 1/128)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 (pow.f64 (sin.f64 x) 2)) (+.f64 (cos.f64 x) -1)) (sqrt.f64 1/128)))
(.f64 (sqrt.f64 1/128) (.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1)))
(.f64 (pow.f64 (sin.f64 x) 2) (.f64 (sqrt.f64 1/128) (+.f64 (cos.f64 x) -1)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (sqrt.f64 1/128) (.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1))))))
(.f64 (sqrt.f64 1/128) (.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1)))
(.f64 (pow.f64 (sin.f64 x) 2) (.f64 (sqrt.f64 1/128) (+.f64 (cos.f64 x) -1)))
(cbrt.f64 (pow.f64 (.f64 (sqrt.f64 1/128) (.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1))) 3))
(.f64 (sqrt.f64 1/128) (.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1)))
(.f64 (pow.f64 (sin.f64 x) 2) (.f64 (sqrt.f64 1/128) (+.f64 (cos.f64 x) -1)))
(expm1.f64 (log1p.f64 (.f64 (sqrt.f64 1/128) (.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1)))))
(.f64 (sqrt.f64 1/128) (.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1)))
(.f64 (pow.f64 (sin.f64 x) 2) (.f64 (sqrt.f64 1/128) (+.f64 (cos.f64 x) -1)))
(exp.f64 (log.f64 (.f64 (sqrt.f64 1/128) (.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1)))))
(.f64 (sqrt.f64 1/128) (.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1)))
(.f64 (pow.f64 (sin.f64 x) 2) (.f64 (sqrt.f64 1/128) (+.f64 (cos.f64 x) -1)))
(exp.f64 (.f64 (log.f64 (.f64 (sqrt.f64 1/128) (*.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1)))) 1))
(.f64 (sqrt.f64 1/128) (.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1)))
(.f64 (pow.f64 (sin.f64 x) 2) (.f64 (sqrt.f64 1/128) (+.f64 (cos.f64 x) -1)))
(log1p.f64 (expm1.f64 (.f64 (sqrt.f64 1/128) (.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1)))))
(.f64 (sqrt.f64 1/128) (.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1)))
(.f64 (pow.f64 (sin.f64 x) 2) (.f64 (sqrt.f64 1/128) (+.f64 (cos.f64 x) -1)))
(-.f64 (exp.f64 (log1p.f64 (.f64 (fma.f64 (sqrt.f64 1/128) (.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1)) 2) 1/6))) 1)
(.f64 1/6 (fma.f64 (sqrt.f64 1/128) (.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1)) 2))
(.f64 1/6 (fma.f64 (.f64 (pow.f64 (sin.f64 x) 2) (sqrt.f64 1/128)) (+.f64 (cos.f64 x) -1) 2))
(.f64 (fma.f64 (sqrt.f64 1/128) (.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1)) 2) 1/6)
(.f64 1/6 (fma.f64 (sqrt.f64 1/128) (.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1)) 2))
(.f64 1/6 (fma.f64 (.f64 (pow.f64 (sin.f64 x) 2) (sqrt.f64 1/128)) (+.f64 (cos.f64 x) -1) 2))
(.f64 (.f64 (fma.f64 (sqrt.f64 1/128) (*.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1)) 2) 1/6) 1)
(.f64 1/6 (fma.f64 (sqrt.f64 1/128) (.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1)) 2))
(.f64 1/6 (fma.f64 (.f64 (pow.f64 (sin.f64 x) 2) (sqrt.f64 1/128)) (+.f64 (cos.f64 x) -1) 2))
(.f64 1 (.f64 (fma.f64 (sqrt.f64 1/128) (*.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1)) 2) 1/6))
(.f64 1/6 (fma.f64 (sqrt.f64 1/128) (.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1)) 2))
(.f64 1/6 (fma.f64 (.f64 (pow.f64 (sin.f64 x) 2) (sqrt.f64 1/128)) (+.f64 (cos.f64 x) -1) 2))
(.f64 (sqrt.f64 (.f64 (fma.f64 (sqrt.f64 1/128) (.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1)) 2) 1/6)) (sqrt.f64 (.f64 (fma.f64 (sqrt.f64 1/128) (*.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1)) 2) 1/6)))
(.f64 1/6 (fma.f64 (sqrt.f64 1/128) (.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1)) 2))
(.f64 1/6 (fma.f64 (.f64 (pow.f64 (sin.f64 x) 2) (sqrt.f64 1/128)) (+.f64 (cos.f64 x) -1) 2))
(.f64 (sqrt.f64 (fma.f64 (sqrt.f64 1/128) (.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1)) 2)) (.f64 (sqrt.f64 (fma.f64 (sqrt.f64 1/128) (.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1)) 2)) 1/6))
(.f64 1/6 (fma.f64 (sqrt.f64 1/128) (.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1)) 2))
(.f64 1/6 (fma.f64 (.f64 (pow.f64 (sin.f64 x) 2) (sqrt.f64 1/128)) (+.f64 (cos.f64 x) -1) 2))
(.f64 (cbrt.f64 (.f64 (fma.f64 (sqrt.f64 1/128) (.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1)) 2) 1/6)) (pow.f64 (cbrt.f64 (.f64 (fma.f64 (sqrt.f64 1/128) (*.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1)) 2) 1/6)) 2))
(.f64 1/6 (fma.f64 (sqrt.f64 1/128) (.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1)) 2))
(.f64 1/6 (fma.f64 (.f64 (pow.f64 (sin.f64 x) 2) (sqrt.f64 1/128)) (+.f64 (cos.f64 x) -1) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 (fma.f64 (sqrt.f64 1/128) (.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1)) 2) 1/6)) 2) (cbrt.f64 (.f64 (fma.f64 (sqrt.f64 1/128) (*.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1)) 2) 1/6)))
(.f64 1/6 (fma.f64 (sqrt.f64 1/128) (.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1)) 2))
(.f64 1/6 (fma.f64 (.f64 (pow.f64 (sin.f64 x) 2) (sqrt.f64 1/128)) (+.f64 (cos.f64 x) -1) 2))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 (sqrt.f64 1/128) (.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1)) 2)) 2) (.f64 (cbrt.f64 (fma.f64 (sqrt.f64 1/128) (.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1)) 2)) 1/6))
(.f64 1/6 (fma.f64 (sqrt.f64 1/128) (.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1)) 2))
(.f64 1/6 (fma.f64 (.f64 (pow.f64 (sin.f64 x) 2) (sqrt.f64 1/128)) (+.f64 (cos.f64 x) -1) 2))
(.f64 1/6 (fma.f64 (sqrt.f64 1/128) (.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1)) 2))
(.f64 1/6 (fma.f64 (.f64 (pow.f64 (sin.f64 x) 2) (sqrt.f64 1/128)) (+.f64 (cos.f64 x) -1) 2))
(.f64 (-.f64 -2 (.f64 (sqrt.f64 1/128) (*.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1)))) -1/6)
(.f64 (neg.f64 (fma.f64 (.f64 (pow.f64 (sin.f64 x) 2) (sqrt.f64 1/128)) (+.f64 (cos.f64 x) -1) 2)) -1/6)
(.f64 (-.f64 -2 (.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (sqrt.f64 1/128) (+.f64 (cos.f64 x) -1)))) -1/6)
(pow.f64 (.f64 (fma.f64 (sqrt.f64 1/128) (.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1)) 2) 1/6) 1)
(.f64 1/6 (fma.f64 (sqrt.f64 1/128) (.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1)) 2))
(.f64 1/6 (fma.f64 (.f64 (pow.f64 (sin.f64 x) 2) (sqrt.f64 1/128)) (+.f64 (cos.f64 x) -1) 2))
(pow.f64 (sqrt.f64 (.f64 (fma.f64 (sqrt.f64 1/128) (.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1)) 2) 1/6)) 2)
(.f64 1/6 (fma.f64 (sqrt.f64 1/128) (.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1)) 2))
(.f64 1/6 (fma.f64 (.f64 (pow.f64 (sin.f64 x) 2) (sqrt.f64 1/128)) (+.f64 (cos.f64 x) -1) 2))
(pow.f64 (cbrt.f64 (.f64 (fma.f64 (sqrt.f64 1/128) (.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1)) 2) 1/6)) 3)
(.f64 1/6 (fma.f64 (sqrt.f64 1/128) (.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1)) 2))
(.f64 1/6 (fma.f64 (.f64 (pow.f64 (sin.f64 x) 2) (sqrt.f64 1/128)) (+.f64 (cos.f64 x) -1) 2))
(pow.f64 (pow.f64 (.f64 (fma.f64 (sqrt.f64 1/128) (.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1)) 2) 1/6) 3) 1/3)
(.f64 1/6 (fma.f64 (sqrt.f64 1/128) (.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1)) 2))
(.f64 1/6 (fma.f64 (.f64 (pow.f64 (sin.f64 x) 2) (sqrt.f64 1/128)) (+.f64 (cos.f64 x) -1) 2))
(pow.f64 (/.f64 6 (fma.f64 (sqrt.f64 1/128) (*.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1)) 2)) -1)
(.f64 1/6 (fma.f64 (sqrt.f64 1/128) (.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1)) 2))
(.f64 1/6 (fma.f64 (.f64 (pow.f64 (sin.f64 x) 2) (sqrt.f64 1/128)) (+.f64 (cos.f64 x) -1) 2))
(neg.f64 (/.f64 (fma.f64 (sqrt.f64 1/128) (*.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1)) 2) -6))
(/.f64 (neg.f64 (fma.f64 (sqrt.f64 1/128) (*.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1)) 2)) -6)
(/.f64 (neg.f64 (fma.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (sqrt.f64 1/128)) (+.f64 (cos.f64 x) -1) 2)) -6)
(/.f64 (-.f64 -2 (.f64 (pow.f64 (sin.f64 x) 2) (.f64 (sqrt.f64 1/128) (+.f64 (cos.f64 x) -1)))) -6)
(sqrt.f64 (.f64 (pow.f64 (fma.f64 (sqrt.f64 1/128) (.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1)) 2) 2) 1/36))
(sqrt.f64 (.f64 (pow.f64 (fma.f64 (.f64 (pow.f64 (sin.f64 x) 2) (sqrt.f64 1/128)) (+.f64 (cos.f64 x) -1) 2) 2) 1/36))
(log.f64 (pow.f64 (exp.f64 (fma.f64 (sqrt.f64 1/128) (*.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1)) 2)) 1/6))
(.f64 1/6 (fma.f64 (sqrt.f64 1/128) (.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1)) 2))
(.f64 1/6 (fma.f64 (.f64 (pow.f64 (sin.f64 x) 2) (sqrt.f64 1/128)) (+.f64 (cos.f64 x) -1) 2))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (fma.f64 (sqrt.f64 1/128) (.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1)) 2) 1/6))))
(.f64 1/6 (fma.f64 (sqrt.f64 1/128) (.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1)) 2))
(.f64 1/6 (fma.f64 (.f64 (pow.f64 (sin.f64 x) 2) (sqrt.f64 1/128)) (+.f64 (cos.f64 x) -1) 2))
(cbrt.f64 (pow.f64 (.f64 (fma.f64 (sqrt.f64 1/128) (.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1)) 2) 1/6) 3))
(.f64 1/6 (fma.f64 (sqrt.f64 1/128) (.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1)) 2))
(.f64 1/6 (fma.f64 (.f64 (pow.f64 (sin.f64 x) 2) (sqrt.f64 1/128)) (+.f64 (cos.f64 x) -1) 2))
(expm1.f64 (log1p.f64 (.f64 (fma.f64 (sqrt.f64 1/128) (.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1)) 2) 1/6)))
(.f64 1/6 (fma.f64 (sqrt.f64 1/128) (.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1)) 2))
(.f64 1/6 (fma.f64 (.f64 (pow.f64 (sin.f64 x) 2) (sqrt.f64 1/128)) (+.f64 (cos.f64 x) -1) 2))
(exp.f64 (log.f64 (.f64 (fma.f64 (sqrt.f64 1/128) (.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1)) 2) 1/6)))
(.f64 1/6 (fma.f64 (sqrt.f64 1/128) (.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1)) 2))
(.f64 1/6 (fma.f64 (.f64 (pow.f64 (sin.f64 x) 2) (sqrt.f64 1/128)) (+.f64 (cos.f64 x) -1) 2))
(exp.f64 (.f64 (log.f64 (.f64 (fma.f64 (sqrt.f64 1/128) (*.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1)) 2) 1/6)) 1))
(.f64 1/6 (fma.f64 (sqrt.f64 1/128) (.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1)) 2))
(.f64 1/6 (fma.f64 (.f64 (pow.f64 (sin.f64 x) 2) (sqrt.f64 1/128)) (+.f64 (cos.f64 x) -1) 2))
(log1p.f64 (expm1.f64 (.f64 (fma.f64 (sqrt.f64 1/128) (.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1)) 2) 1/6)))
(.f64 1/6 (fma.f64 (sqrt.f64 1/128) (.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1)) 2))
(.f64 1/6 (fma.f64 (.f64 (pow.f64 (sin.f64 x) 2) (sqrt.f64 1/128)) (+.f64 (cos.f64 x) -1) 2))

localize82.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(.f64 (cos.f64 x) (-.f64 (.f64 1/2 (sqrt.f64 5)) 1/2))
	0.4b	(+.f64 (.f64 (-.f64 3/2 (.f64 1/2 (sqrt.f64 5))) (cos.f64 y)) (.f64 (cos.f64 x) (-.f64 (.f64 1/2 (sqrt.f64 5)) 1/2)))
	1.0b	(-.f64 3/2 (*.f64 1/2 (sqrt.f64 5)))
	1.2b	(+.f64 (cos.f64 x) -1)

Compiler

Compiled 232 to 179 computations (22.8% saved)

series0.0ms (0%)

Counts

1 → 4

Calls

3 calls:

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

rewrite64.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

890×	`*-commutative`
630×	`unswap-sqr`
514×	`swap-sqr`
444×	`associate-*r/`
386×	`sqr-pow`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	23
1	231	21
2	2746	21

Stop Event

1×	node limit

Counts

1 → 52

Calls

Call 1

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

Outputs

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

simplify104.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1142×	`associate-/l*`
1108×	`times-frac`
896×	`*-commutative`
886×	`fma-def`
706×	`+-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	193	2058
1	535	1956
2	2025	1896
3	7317	1896

Stop Event

1×	node limit

Counts

56 → 97

Calls

Call 1

Inputs
(-.f64 (*.f64 1/2 (sqrt.f64 5)) 1/2)
(-.f64 (+.f64 (.f64 -1/2 (.f64 (pow.f64 x 2) (-.f64 (.f64 1/2 (sqrt.f64 5)) 1/2))) (.f64 1/2 (sqrt.f64 5))) 1/2)
(-.f64 (+.f64 (.f64 -1/2 (.f64 (pow.f64 x 2) (-.f64 (.f64 1/2 (sqrt.f64 5)) 1/2))) (+.f64 (.f64 1/2 (sqrt.f64 5)) (.f64 1/24 (.f64 (pow.f64 x 4) (-.f64 (*.f64 1/2 (sqrt.f64 5)) 1/2))))) 1/2)
(-.f64 (+.f64 (.f64 -1/2 (.f64 (pow.f64 x 2) (-.f64 (.f64 1/2 (sqrt.f64 5)) 1/2))) (+.f64 (.f64 1/2 (sqrt.f64 5)) (+.f64 (.f64 1/24 (.f64 (pow.f64 x 4) (-.f64 (.f64 1/2 (sqrt.f64 5)) 1/2))) (.f64 -1/720 (.f64 (pow.f64 x 6) (-.f64 (.f64 1/2 (sqrt.f64 5)) 1/2)))))) 1/2)
(+.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) -1/2)))) -1)
(+.f64 (.f64 (cos.f64 x) (sqrt.f64 5/4)) (.f64 (cos.f64 x) -1/2))
(+.f64 (.f64 (cos.f64 x) -1/2) (.f64 (cos.f64 x) (sqrt.f64 5/4)))
(+.f64 (.f64 1 (.f64 (cos.f64 x) (sqrt.f64 5/4))) (.f64 1 (.f64 (cos.f64 x) -1/2)))
(+.f64 (.f64 (.f64 (cos.f64 x) (sqrt.f64 5/4)) 1) (.f64 (.f64 (cos.f64 x) -1/2) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) -1/2)))) 1)
(-.f64 (/.f64 (exp.f64 (log1p.f64 (cos.f64 x))) (+.f64 1/2 (sqrt.f64 5/4))) (+.f64 (sqrt.f64 5/4) -1/2))
(/.f64 (cos.f64 x) (+.f64 1/2 (sqrt.f64 5/4)))
(/.f64 1 (/.f64 (+.f64 1/2 (sqrt.f64 5/4)) (cos.f64 x)))
(/.f64 1 (/.f64 (+.f64 (.f64 1/2 (sqrt.f64 5/4)) 3/2) (.f64 (cos.f64 x) (+.f64 (*.f64 (sqrt.f64 5) 5/8) -1/8))))
(/.f64 (sqrt.f64 (cos.f64 x)) (/.f64 (+.f64 1/2 (sqrt.f64 5/4)) (sqrt.f64 (cos.f64 x))))
(/.f64 (cbrt.f64 (cos.f64 x)) (/.f64 (+.f64 1/2 (sqrt.f64 5/4)) (pow.f64 (cbrt.f64 (cos.f64 x)) 2)))
(/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (/.f64 (+.f64 1/2 (sqrt.f64 5/4)) (cbrt.f64 (cos.f64 x))))
(/.f64 (+.f64 (.f64 (sqrt.f64 5) 5/8) -1/8) (/.f64 (+.f64 (.f64 1/2 (sqrt.f64 5/4)) 3/2) (cos.f64 x)))
(/.f64 (/.f64 (cos.f64 x) (sqrt.f64 (+.f64 1/2 (sqrt.f64 5/4)))) (sqrt.f64 (+.f64 1/2 (sqrt.f64 5/4))))
(/.f64 (*.f64 (cos.f64 x) (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 5/4) -1/2)) 2)) (cbrt.f64 (+.f64 1/2 (sqrt.f64 5/4))))
(/.f64 (.f64 (cos.f64 x) (+.f64 (.f64 (sqrt.f64 5) 5/8) -1/8)) (+.f64 (*.f64 1/2 (sqrt.f64 5/4)) 3/2))
(/.f64 (.f64 (cos.f64 x) (+.f64 (.f64 (sqrt.f64 5) 5/8) -1/8)) (-.f64 3/2 (*.f64 (sqrt.f64 5/4) -1/2)))
(/.f64 (*.f64 (cos.f64 x) -1) (neg.f64 (+.f64 1/2 (sqrt.f64 5/4))))
(/.f64 (.f64 (cos.f64 x) (+.f64 (neg.f64 (.f64 (sqrt.f64 5) 5/8)) 1/8)) (+.f64 -3/2 (neg.f64 (*.f64 1/2 (sqrt.f64 5/4)))))
(/.f64 (.f64 1 (.f64 (cos.f64 x) (+.f64 (.f64 (sqrt.f64 5) 5/8) -1/8))) (+.f64 (.f64 1/2 (sqrt.f64 5/4)) 3/2))
(/.f64 (*.f64 (/.f64 (cos.f64 x) (sqrt.f64 (+.f64 1/2 (sqrt.f64 5/4)))) 1) (sqrt.f64 (+.f64 1/2 (sqrt.f64 5/4))))
(/.f64 (.f64 (/.f64 (cos.f64 x) (sqrt.f64 (+.f64 1/2 (sqrt.f64 5/4)))) (sqrt.f64 (+.f64 (.f64 (sqrt.f64 5) 5/8) -1/8))) (sqrt.f64 (+.f64 (*.f64 1/2 (sqrt.f64 5/4)) 3/2)))
(/.f64 (.f64 (.f64 (cos.f64 x) (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 5/4) -1/2)) 2)) 1) (cbrt.f64 (+.f64 1/2 (sqrt.f64 5/4))))
(/.f64 (.f64 (.f64 (cos.f64 x) (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 5/4) -1/2)) 2)) (cbrt.f64 (+.f64 (.f64 (sqrt.f64 5) 5/8) -1/8))) (cbrt.f64 (+.f64 (.f64 1/2 (sqrt.f64 5/4)) 3/2)))
(/.f64 (*.f64 -1 (cos.f64 x)) (neg.f64 (+.f64 1/2 (sqrt.f64 5/4))))
(/.f64 (.f64 (+.f64 (neg.f64 (.f64 (sqrt.f64 5) 5/8)) 1/8) (cos.f64 x)) (+.f64 -3/2 (neg.f64 (*.f64 1/2 (sqrt.f64 5/4)))))
(/.f64 (.f64 (.f64 (cos.f64 x) (+.f64 (.f64 (sqrt.f64 5) 5/8) -1/8)) 1) (+.f64 (.f64 1/2 (sqrt.f64 5/4)) 3/2))
(/.f64 (*.f64 1 (/.f64 (cos.f64 x) (sqrt.f64 (+.f64 1/2 (sqrt.f64 5/4))))) (sqrt.f64 (+.f64 1/2 (sqrt.f64 5/4))))
(/.f64 (.f64 (sqrt.f64 (+.f64 (.f64 (sqrt.f64 5) 5/8) -1/8)) (/.f64 (cos.f64 x) (sqrt.f64 (+.f64 1/2 (sqrt.f64 5/4))))) (sqrt.f64 (+.f64 (*.f64 1/2 (sqrt.f64 5/4)) 3/2)))
(/.f64 (/.f64 (cos.f64 x) 1) (+.f64 1/2 (sqrt.f64 5/4)))
(/.f64 (/.f64 (cos.f64 x) (*.f64 (cbrt.f64 (+.f64 1/2 (sqrt.f64 5/4))) (cbrt.f64 (+.f64 1/2 (sqrt.f64 5/4))))) (cbrt.f64 (+.f64 1/2 (sqrt.f64 5/4))))
(/.f64 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1)) 1/2)
(/.f64 (/.f64 (.f64 (cos.f64 x) (+.f64 (.f64 (sqrt.f64 5) 5/8) -1/8)) 1) (+.f64 (*.f64 1/2 (sqrt.f64 5/4)) 3/2))
(/.f64 (/.f64 (.f64 (cos.f64 x) (+.f64 (.f64 (sqrt.f64 5) 5/8) -1/8)) (sqrt.f64 (+.f64 (.f64 1/2 (sqrt.f64 5/4)) 3/2))) (sqrt.f64 (+.f64 (.f64 1/2 (sqrt.f64 5/4)) 3/2)))
(/.f64 (/.f64 (.f64 (cos.f64 x) (+.f64 (.f64 (sqrt.f64 5) 5/8) -1/8)) (.f64 (cbrt.f64 (+.f64 (.f64 1/2 (sqrt.f64 5/4)) 3/2)) (cbrt.f64 (+.f64 (.f64 1/2 (sqrt.f64 5/4)) 3/2)))) (cbrt.f64 (+.f64 (.f64 1/2 (sqrt.f64 5/4)) 3/2)))
(/.f64 (-.f64 (.f64 (.f64 (cos.f64 x) (sqrt.f64 5/4)) (.f64 (cos.f64 x) (sqrt.f64 5/4))) (.f64 (.f64 (cos.f64 x) -1/2) (.f64 (cos.f64 x) -1/2))) (-.f64 (.f64 (cos.f64 x) (sqrt.f64 5/4)) (.f64 (cos.f64 x) -1/2)))
(/.f64 (-.f64 (.f64 (exp.f64 (log1p.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) -1/2)))) (exp.f64 (log1p.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) -1/2))))) 1) (+.f64 (exp.f64 (log1p.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) -1/2)))) 1))
(/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 x) (sqrt.f64 5/4)) 3) (pow.f64 (.f64 (cos.f64 x) -1/2) 3)) (+.f64 (.f64 (.f64 (cos.f64 x) (sqrt.f64 5/4)) (.f64 (cos.f64 x) (sqrt.f64 5/4))) (-.f64 (.f64 (.f64 (cos.f64 x) -1/2) (.f64 (cos.f64 x) -1/2)) (.f64 (.f64 (cos.f64 x) (sqrt.f64 5/4)) (*.f64 (cos.f64 x) -1/2)))))
(/.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) -1/2)))) 3) 1) (+.f64 (.f64 (exp.f64 (log1p.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) -1/2)))) (exp.f64 (log1p.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) -1/2))))) (+.f64 1 (.f64 (exp.f64 (log1p.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) -1/2)))) 1))))
(pow.f64 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) -1/2)) 1)
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) -1/2))) 2)
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) -1/2))) 3)
(pow.f64 (pow.f64 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) -1/2)) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) -1/2)) 2))
(log.f64 (pow.f64 (exp.f64 (cos.f64 x)) (+.f64 (sqrt.f64 5/4) -1/2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) -1/2)))))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) -1/2)) 3))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (+.f64 (sqrt.f64 5/4) -1/2) 3)))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) -1/2))))
(exp.f64 (log.f64 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) -1/2))))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) -1/2))))

Outputs
(-.f64 (*.f64 1/2 (sqrt.f64 5)) 1/2)
(fma.f64 1/2 (sqrt.f64 5) -1/2)
(-.f64 (+.f64 (.f64 -1/2 (.f64 (pow.f64 x 2) (-.f64 (.f64 1/2 (sqrt.f64 5)) 1/2))) (.f64 1/2 (sqrt.f64 5))) 1/2)
(+.f64 (.f64 -1/2 (.f64 (fma.f64 1/2 (sqrt.f64 5) -1/2) (*.f64 x x))) (fma.f64 1/2 (sqrt.f64 5) -1/2))
(.f64 (+.f64 (.f64 -1/2 (*.f64 x x)) 1) (fma.f64 1/2 (sqrt.f64 5) -1/2))
(.f64 (fma.f64 1/2 (sqrt.f64 5) -1/2) (fma.f64 -1/2 (.f64 x x) 1))
(-.f64 (+.f64 (.f64 -1/2 (.f64 (pow.f64 x 2) (-.f64 (.f64 1/2 (sqrt.f64 5)) 1/2))) (+.f64 (.f64 1/2 (sqrt.f64 5)) (.f64 1/24 (.f64 (pow.f64 x 4) (-.f64 (*.f64 1/2 (sqrt.f64 5)) 1/2))))) 1/2)
(+.f64 (fma.f64 -1/2 (.f64 (fma.f64 1/2 (sqrt.f64 5) -1/2) (.f64 x x)) (fma.f64 1/2 (sqrt.f64 5) (.f64 1/24 (.f64 (fma.f64 1/2 (sqrt.f64 5) -1/2) (pow.f64 x 4))))) -1/2)
(fma.f64 -1/2 (.f64 (fma.f64 1/2 (sqrt.f64 5) -1/2) (.f64 x x)) (+.f64 (fma.f64 1/24 (.f64 (fma.f64 1/2 (sqrt.f64 5) -1/2) (pow.f64 x 4)) (.f64 1/2 (sqrt.f64 5))) -1/2))
(+.f64 (fma.f64 1/2 (sqrt.f64 5) -1/2) (.f64 (fma.f64 1/2 (sqrt.f64 5) -1/2) (+.f64 (.f64 1/24 (pow.f64 x 4)) (.f64 -1/2 (.f64 x x)))))
(+.f64 (fma.f64 1/2 (sqrt.f64 5) -1/2) (.f64 (fma.f64 1/2 (sqrt.f64 5) -1/2) (+.f64 (.f64 -1/2 (.f64 x x)) (.f64 1/24 (pow.f64 x 4)))))
(-.f64 (+.f64 (.f64 -1/2 (.f64 (pow.f64 x 2) (-.f64 (.f64 1/2 (sqrt.f64 5)) 1/2))) (+.f64 (.f64 1/2 (sqrt.f64 5)) (+.f64 (.f64 1/24 (.f64 (pow.f64 x 4) (-.f64 (.f64 1/2 (sqrt.f64 5)) 1/2))) (.f64 -1/720 (.f64 (pow.f64 x 6) (-.f64 (.f64 1/2 (sqrt.f64 5)) 1/2)))))) 1/2)
(+.f64 (fma.f64 -1/2 (.f64 (fma.f64 1/2 (sqrt.f64 5) -1/2) (.f64 x x)) (fma.f64 1/2 (sqrt.f64 5) (fma.f64 1/24 (.f64 (fma.f64 1/2 (sqrt.f64 5) -1/2) (pow.f64 x 4)) (.f64 -1/720 (*.f64 (fma.f64 1/2 (sqrt.f64 5) -1/2) (pow.f64 x 6)))))) -1/2)
(fma.f64 -1/2 (.f64 (fma.f64 1/2 (sqrt.f64 5) -1/2) (.f64 x x)) (+.f64 (.f64 (fma.f64 1/2 (sqrt.f64 5) -1/2) (+.f64 (.f64 1/24 (pow.f64 x 4)) (*.f64 -1/720 (pow.f64 x 6)))) (fma.f64 1/2 (sqrt.f64 5) -1/2)))
(+.f64 (fma.f64 1/2 (sqrt.f64 5) -1/2) (.f64 (fma.f64 1/2 (sqrt.f64 5) -1/2) (+.f64 (fma.f64 1/24 (pow.f64 x 4) (.f64 -1/720 (pow.f64 x 6))) (.f64 -1/2 (.f64 x x)))))
(+.f64 (fma.f64 1/2 (sqrt.f64 5) -1/2) (.f64 (fma.f64 1/2 (sqrt.f64 5) -1/2) (+.f64 (.f64 -1/2 (.f64 x x)) (fma.f64 1/24 (pow.f64 x 4) (.f64 -1/720 (pow.f64 x 6))))))
(+.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) -1/2)))) -1)
(*.f64 (cos.f64 x) (+.f64 -1/2 (sqrt.f64 5/4)))
(+.f64 (.f64 (cos.f64 x) (sqrt.f64 5/4)) (.f64 (cos.f64 x) -1/2))
(*.f64 (cos.f64 x) (+.f64 -1/2 (sqrt.f64 5/4)))
(+.f64 (.f64 (cos.f64 x) -1/2) (.f64 (cos.f64 x) (sqrt.f64 5/4)))
(*.f64 (cos.f64 x) (+.f64 -1/2 (sqrt.f64 5/4)))
(+.f64 (.f64 1 (.f64 (cos.f64 x) (sqrt.f64 5/4))) (.f64 1 (.f64 (cos.f64 x) -1/2)))
(*.f64 (cos.f64 x) (+.f64 -1/2 (sqrt.f64 5/4)))
(+.f64 (.f64 (.f64 (cos.f64 x) (sqrt.f64 5/4)) 1) (.f64 (.f64 (cos.f64 x) -1/2) 1))
(*.f64 (cos.f64 x) (+.f64 -1/2 (sqrt.f64 5/4)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) -1/2)))) 1)
(*.f64 (cos.f64 x) (+.f64 -1/2 (sqrt.f64 5/4)))
(-.f64 (/.f64 (exp.f64 (log1p.f64 (cos.f64 x))) (+.f64 1/2 (sqrt.f64 5/4))) (+.f64 (sqrt.f64 5/4) -1/2))
(-.f64 (/.f64 (exp.f64 (log1p.f64 (cos.f64 x))) (+.f64 1/2 (sqrt.f64 5/4))) (+.f64 -1/2 (sqrt.f64 5/4)))
(+.f64 (-.f64 (/.f64 (exp.f64 (log1p.f64 (cos.f64 x))) (+.f64 1/2 (sqrt.f64 5/4))) (sqrt.f64 5/4)) 1/2)
(+.f64 1/2 (-.f64 (/.f64 (exp.f64 (log1p.f64 (cos.f64 x))) (+.f64 1/2 (sqrt.f64 5/4))) (sqrt.f64 5/4)))
(/.f64 (cos.f64 x) (+.f64 1/2 (sqrt.f64 5/4)))
(*.f64 (cos.f64 x) (+.f64 -1/2 (sqrt.f64 5/4)))
(/.f64 1 (/.f64 (+.f64 1/2 (sqrt.f64 5/4)) (cos.f64 x)))
(*.f64 (cos.f64 x) (+.f64 -1/2 (sqrt.f64 5/4)))
(/.f64 1 (/.f64 (+.f64 (.f64 1/2 (sqrt.f64 5/4)) 3/2) (.f64 (cos.f64 x) (+.f64 (*.f64 (sqrt.f64 5) 5/8) -1/8))))
(/.f64 (cos.f64 x) (/.f64 (fma.f64 1/2 (sqrt.f64 5/4) 3/2) (fma.f64 (sqrt.f64 5) 5/8 -1/8)))
(*.f64 (/.f64 (cos.f64 x) (fma.f64 1/2 (sqrt.f64 5/4) 3/2)) (fma.f64 (sqrt.f64 5) 5/8 -1/8))
(*.f64 (cos.f64 x) (/.f64 (fma.f64 (sqrt.f64 5) 5/8 -1/8) (fma.f64 1/2 (sqrt.f64 5/4) 3/2)))
(/.f64 (sqrt.f64 (cos.f64 x)) (/.f64 (+.f64 1/2 (sqrt.f64 5/4)) (sqrt.f64 (cos.f64 x))))
(*.f64 (cos.f64 x) (+.f64 -1/2 (sqrt.f64 5/4)))
(/.f64 (cbrt.f64 (cos.f64 x)) (/.f64 (+.f64 1/2 (sqrt.f64 5/4)) (pow.f64 (cbrt.f64 (cos.f64 x)) 2)))
(*.f64 (cos.f64 x) (+.f64 -1/2 (sqrt.f64 5/4)))
(/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (/.f64 (+.f64 1/2 (sqrt.f64 5/4)) (cbrt.f64 (cos.f64 x))))
(*.f64 (cos.f64 x) (+.f64 -1/2 (sqrt.f64 5/4)))
(/.f64 (+.f64 (.f64 (sqrt.f64 5) 5/8) -1/8) (/.f64 (+.f64 (.f64 1/2 (sqrt.f64 5/4)) 3/2) (cos.f64 x)))
(/.f64 (cos.f64 x) (/.f64 (fma.f64 1/2 (sqrt.f64 5/4) 3/2) (fma.f64 (sqrt.f64 5) 5/8 -1/8)))
(*.f64 (/.f64 (cos.f64 x) (fma.f64 1/2 (sqrt.f64 5/4) 3/2)) (fma.f64 (sqrt.f64 5) 5/8 -1/8))
(*.f64 (cos.f64 x) (/.f64 (fma.f64 (sqrt.f64 5) 5/8 -1/8) (fma.f64 1/2 (sqrt.f64 5/4) 3/2)))
(/.f64 (/.f64 (cos.f64 x) (sqrt.f64 (+.f64 1/2 (sqrt.f64 5/4)))) (sqrt.f64 (+.f64 1/2 (sqrt.f64 5/4))))
(*.f64 (cos.f64 x) (+.f64 -1/2 (sqrt.f64 5/4)))
(/.f64 (*.f64 (cos.f64 x) (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 5/4) -1/2)) 2)) (cbrt.f64 (+.f64 1/2 (sqrt.f64 5/4))))
(/.f64 (cos.f64 x) (/.f64 (cbrt.f64 (+.f64 1/2 (sqrt.f64 5/4))) (pow.f64 (cbrt.f64 (+.f64 -1/2 (sqrt.f64 5/4))) 2)))
(*.f64 (/.f64 (cos.f64 x) (cbrt.f64 (+.f64 1/2 (sqrt.f64 5/4)))) (pow.f64 (cbrt.f64 (+.f64 -1/2 (sqrt.f64 5/4))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 -1/2 (sqrt.f64 5/4))) 2) (/.f64 (cos.f64 x) (cbrt.f64 (+.f64 1/2 (sqrt.f64 5/4)))))
(/.f64 (.f64 (cos.f64 x) (+.f64 (.f64 (sqrt.f64 5) 5/8) -1/8)) (+.f64 (*.f64 1/2 (sqrt.f64 5/4)) 3/2))
(/.f64 (cos.f64 x) (/.f64 (fma.f64 1/2 (sqrt.f64 5/4) 3/2) (fma.f64 (sqrt.f64 5) 5/8 -1/8)))
(*.f64 (/.f64 (cos.f64 x) (fma.f64 1/2 (sqrt.f64 5/4) 3/2)) (fma.f64 (sqrt.f64 5) 5/8 -1/8))
(*.f64 (cos.f64 x) (/.f64 (fma.f64 (sqrt.f64 5) 5/8 -1/8) (fma.f64 1/2 (sqrt.f64 5/4) 3/2)))
(/.f64 (.f64 (cos.f64 x) (+.f64 (.f64 (sqrt.f64 5) 5/8) -1/8)) (-.f64 3/2 (*.f64 (sqrt.f64 5/4) -1/2)))
(/.f64 (cos.f64 x) (/.f64 (fma.f64 1/2 (sqrt.f64 5/4) 3/2) (fma.f64 (sqrt.f64 5) 5/8 -1/8)))
(*.f64 (/.f64 (cos.f64 x) (fma.f64 1/2 (sqrt.f64 5/4) 3/2)) (fma.f64 (sqrt.f64 5) 5/8 -1/8))
(*.f64 (cos.f64 x) (/.f64 (fma.f64 (sqrt.f64 5) 5/8 -1/8) (fma.f64 1/2 (sqrt.f64 5/4) 3/2)))
(/.f64 (*.f64 (cos.f64 x) -1) (neg.f64 (+.f64 1/2 (sqrt.f64 5/4))))
(*.f64 (cos.f64 x) (+.f64 -1/2 (sqrt.f64 5/4)))
(/.f64 (.f64 (cos.f64 x) (+.f64 (neg.f64 (.f64 (sqrt.f64 5) 5/8)) 1/8)) (+.f64 -3/2 (neg.f64 (*.f64 1/2 (sqrt.f64 5/4)))))
(/.f64 (cos.f64 x) (/.f64 (+.f64 -3/2 (.f64 -1/2 (sqrt.f64 5/4))) (+.f64 (.f64 (sqrt.f64 5) -5/8) 1/8)))
(*.f64 (/.f64 (fma.f64 (sqrt.f64 5) -5/8 1/8) (fma.f64 -1/2 (sqrt.f64 5/4) -3/2)) (cos.f64 x))
(*.f64 (fma.f64 (sqrt.f64 5) -5/8 1/8) (/.f64 (cos.f64 x) (fma.f64 -1/2 (sqrt.f64 5/4) -3/2)))
(/.f64 (.f64 1 (.f64 (cos.f64 x) (+.f64 (.f64 (sqrt.f64 5) 5/8) -1/8))) (+.f64 (.f64 1/2 (sqrt.f64 5/4)) 3/2))
(/.f64 (cos.f64 x) (/.f64 (fma.f64 1/2 (sqrt.f64 5/4) 3/2) (fma.f64 (sqrt.f64 5) 5/8 -1/8)))
(*.f64 (/.f64 (cos.f64 x) (fma.f64 1/2 (sqrt.f64 5/4) 3/2)) (fma.f64 (sqrt.f64 5) 5/8 -1/8))
(*.f64 (cos.f64 x) (/.f64 (fma.f64 (sqrt.f64 5) 5/8 -1/8) (fma.f64 1/2 (sqrt.f64 5/4) 3/2)))
(/.f64 (*.f64 (/.f64 (cos.f64 x) (sqrt.f64 (+.f64 1/2 (sqrt.f64 5/4)))) 1) (sqrt.f64 (+.f64 1/2 (sqrt.f64 5/4))))
(*.f64 (cos.f64 x) (+.f64 -1/2 (sqrt.f64 5/4)))
(/.f64 (.f64 (/.f64 (cos.f64 x) (sqrt.f64 (+.f64 1/2 (sqrt.f64 5/4)))) (sqrt.f64 (+.f64 (.f64 (sqrt.f64 5) 5/8) -1/8))) (sqrt.f64 (+.f64 (*.f64 1/2 (sqrt.f64 5/4)) 3/2)))
(/.f64 (/.f64 (cos.f64 x) (sqrt.f64 (+.f64 1/2 (sqrt.f64 5/4)))) (/.f64 (sqrt.f64 (fma.f64 1/2 (sqrt.f64 5/4) 3/2)) (sqrt.f64 (fma.f64 (sqrt.f64 5) 5/8 -1/8))))
(*.f64 (/.f64 (/.f64 (cos.f64 x) (sqrt.f64 (+.f64 1/2 (sqrt.f64 5/4)))) (sqrt.f64 (fma.f64 1/2 (sqrt.f64 5/4) 3/2))) (sqrt.f64 (fma.f64 (sqrt.f64 5) 5/8 -1/8)))
(*.f64 (/.f64 (cos.f64 x) (sqrt.f64 (fma.f64 1/2 (sqrt.f64 5/4) 3/2))) (/.f64 (sqrt.f64 (fma.f64 (sqrt.f64 5) 5/8 -1/8)) (sqrt.f64 (+.f64 1/2 (sqrt.f64 5/4)))))
(/.f64 (.f64 (.f64 (cos.f64 x) (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 5/4) -1/2)) 2)) 1) (cbrt.f64 (+.f64 1/2 (sqrt.f64 5/4))))
(/.f64 (cos.f64 x) (/.f64 (cbrt.f64 (+.f64 1/2 (sqrt.f64 5/4))) (pow.f64 (cbrt.f64 (+.f64 -1/2 (sqrt.f64 5/4))) 2)))
(*.f64 (/.f64 (cos.f64 x) (cbrt.f64 (+.f64 1/2 (sqrt.f64 5/4)))) (pow.f64 (cbrt.f64 (+.f64 -1/2 (sqrt.f64 5/4))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 -1/2 (sqrt.f64 5/4))) 2) (/.f64 (cos.f64 x) (cbrt.f64 (+.f64 1/2 (sqrt.f64 5/4)))))
(/.f64 (.f64 (.f64 (cos.f64 x) (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 5/4) -1/2)) 2)) (cbrt.f64 (+.f64 (.f64 (sqrt.f64 5) 5/8) -1/8))) (cbrt.f64 (+.f64 (.f64 1/2 (sqrt.f64 5/4)) 3/2)))
(/.f64 (*.f64 (cos.f64 x) (pow.f64 (cbrt.f64 (+.f64 -1/2 (sqrt.f64 5/4))) 2)) (/.f64 (cbrt.f64 (fma.f64 1/2 (sqrt.f64 5/4) 3/2)) (cbrt.f64 (fma.f64 (sqrt.f64 5) 5/8 -1/8))))
(/.f64 (cos.f64 x) (/.f64 (/.f64 (cbrt.f64 (fma.f64 1/2 (sqrt.f64 5/4) 3/2)) (cbrt.f64 (fma.f64 (sqrt.f64 5) 5/8 -1/8))) (pow.f64 (cbrt.f64 (+.f64 -1/2 (sqrt.f64 5/4))) 2)))
(*.f64 (cbrt.f64 (fma.f64 (sqrt.f64 5) 5/8 -1/8)) (/.f64 (pow.f64 (cbrt.f64 (+.f64 -1/2 (sqrt.f64 5/4))) 2) (/.f64 (cbrt.f64 (fma.f64 1/2 (sqrt.f64 5/4) 3/2)) (cos.f64 x))))
(/.f64 (*.f64 -1 (cos.f64 x)) (neg.f64 (+.f64 1/2 (sqrt.f64 5/4))))
(*.f64 (cos.f64 x) (+.f64 -1/2 (sqrt.f64 5/4)))
(/.f64 (.f64 (+.f64 (neg.f64 (.f64 (sqrt.f64 5) 5/8)) 1/8) (cos.f64 x)) (+.f64 -3/2 (neg.f64 (*.f64 1/2 (sqrt.f64 5/4)))))
(/.f64 (cos.f64 x) (/.f64 (+.f64 -3/2 (.f64 -1/2 (sqrt.f64 5/4))) (+.f64 (.f64 (sqrt.f64 5) -5/8) 1/8)))
(*.f64 (/.f64 (fma.f64 (sqrt.f64 5) -5/8 1/8) (fma.f64 -1/2 (sqrt.f64 5/4) -3/2)) (cos.f64 x))
(*.f64 (fma.f64 (sqrt.f64 5) -5/8 1/8) (/.f64 (cos.f64 x) (fma.f64 -1/2 (sqrt.f64 5/4) -3/2)))
(/.f64 (.f64 (.f64 (cos.f64 x) (+.f64 (.f64 (sqrt.f64 5) 5/8) -1/8)) 1) (+.f64 (.f64 1/2 (sqrt.f64 5/4)) 3/2))
(/.f64 (cos.f64 x) (/.f64 (fma.f64 1/2 (sqrt.f64 5/4) 3/2) (fma.f64 (sqrt.f64 5) 5/8 -1/8)))
(*.f64 (/.f64 (cos.f64 x) (fma.f64 1/2 (sqrt.f64 5/4) 3/2)) (fma.f64 (sqrt.f64 5) 5/8 -1/8))
(*.f64 (cos.f64 x) (/.f64 (fma.f64 (sqrt.f64 5) 5/8 -1/8) (fma.f64 1/2 (sqrt.f64 5/4) 3/2)))
(/.f64 (*.f64 1 (/.f64 (cos.f64 x) (sqrt.f64 (+.f64 1/2 (sqrt.f64 5/4))))) (sqrt.f64 (+.f64 1/2 (sqrt.f64 5/4))))
(*.f64 (cos.f64 x) (+.f64 -1/2 (sqrt.f64 5/4)))
(/.f64 (.f64 (sqrt.f64 (+.f64 (.f64 (sqrt.f64 5) 5/8) -1/8)) (/.f64 (cos.f64 x) (sqrt.f64 (+.f64 1/2 (sqrt.f64 5/4))))) (sqrt.f64 (+.f64 (*.f64 1/2 (sqrt.f64 5/4)) 3/2)))
(/.f64 (/.f64 (cos.f64 x) (sqrt.f64 (+.f64 1/2 (sqrt.f64 5/4)))) (/.f64 (sqrt.f64 (fma.f64 1/2 (sqrt.f64 5/4) 3/2)) (sqrt.f64 (fma.f64 (sqrt.f64 5) 5/8 -1/8))))
(*.f64 (/.f64 (/.f64 (cos.f64 x) (sqrt.f64 (+.f64 1/2 (sqrt.f64 5/4)))) (sqrt.f64 (fma.f64 1/2 (sqrt.f64 5/4) 3/2))) (sqrt.f64 (fma.f64 (sqrt.f64 5) 5/8 -1/8)))
(*.f64 (/.f64 (cos.f64 x) (sqrt.f64 (fma.f64 1/2 (sqrt.f64 5/4) 3/2))) (/.f64 (sqrt.f64 (fma.f64 (sqrt.f64 5) 5/8 -1/8)) (sqrt.f64 (+.f64 1/2 (sqrt.f64 5/4)))))
(/.f64 (/.f64 (cos.f64 x) 1) (+.f64 1/2 (sqrt.f64 5/4)))
(*.f64 (cos.f64 x) (+.f64 -1/2 (sqrt.f64 5/4)))
(/.f64 (/.f64 (cos.f64 x) (*.f64 (cbrt.f64 (+.f64 1/2 (sqrt.f64 5/4))) (cbrt.f64 (+.f64 1/2 (sqrt.f64 5/4))))) (cbrt.f64 (+.f64 1/2 (sqrt.f64 5/4))))
(*.f64 (cos.f64 x) (+.f64 -1/2 (sqrt.f64 5/4)))
(/.f64 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) 1)) 1/2)
(/.f64 (cos.f64 x) (*.f64 1/2 (+.f64 (sqrt.f64 5) 1)))
(/.f64 (cos.f64 x) (+.f64 1/2 (*.f64 1/2 (sqrt.f64 5))))
(/.f64 (cos.f64 x) (fma.f64 1/2 (sqrt.f64 5) 1/2))
(/.f64 (/.f64 (.f64 (cos.f64 x) (+.f64 (.f64 (sqrt.f64 5) 5/8) -1/8)) 1) (+.f64 (*.f64 1/2 (sqrt.f64 5/4)) 3/2))
(/.f64 (cos.f64 x) (/.f64 (fma.f64 1/2 (sqrt.f64 5/4) 3/2) (fma.f64 (sqrt.f64 5) 5/8 -1/8)))
(*.f64 (/.f64 (cos.f64 x) (fma.f64 1/2 (sqrt.f64 5/4) 3/2)) (fma.f64 (sqrt.f64 5) 5/8 -1/8))
(*.f64 (cos.f64 x) (/.f64 (fma.f64 (sqrt.f64 5) 5/8 -1/8) (fma.f64 1/2 (sqrt.f64 5/4) 3/2)))
(/.f64 (/.f64 (.f64 (cos.f64 x) (+.f64 (.f64 (sqrt.f64 5) 5/8) -1/8)) (sqrt.f64 (+.f64 (.f64 1/2 (sqrt.f64 5/4)) 3/2))) (sqrt.f64 (+.f64 (.f64 1/2 (sqrt.f64 5/4)) 3/2)))
(/.f64 (cos.f64 x) (/.f64 (fma.f64 1/2 (sqrt.f64 5/4) 3/2) (fma.f64 (sqrt.f64 5) 5/8 -1/8)))
(*.f64 (/.f64 (cos.f64 x) (fma.f64 1/2 (sqrt.f64 5/4) 3/2)) (fma.f64 (sqrt.f64 5) 5/8 -1/8))
(*.f64 (cos.f64 x) (/.f64 (fma.f64 (sqrt.f64 5) 5/8 -1/8) (fma.f64 1/2 (sqrt.f64 5/4) 3/2)))
(/.f64 (/.f64 (.f64 (cos.f64 x) (+.f64 (.f64 (sqrt.f64 5) 5/8) -1/8)) (.f64 (cbrt.f64 (+.f64 (.f64 1/2 (sqrt.f64 5/4)) 3/2)) (cbrt.f64 (+.f64 (.f64 1/2 (sqrt.f64 5/4)) 3/2)))) (cbrt.f64 (+.f64 (.f64 1/2 (sqrt.f64 5/4)) 3/2)))
(/.f64 (cos.f64 x) (/.f64 (fma.f64 1/2 (sqrt.f64 5/4) 3/2) (fma.f64 (sqrt.f64 5) 5/8 -1/8)))
(*.f64 (/.f64 (cos.f64 x) (fma.f64 1/2 (sqrt.f64 5/4) 3/2)) (fma.f64 (sqrt.f64 5) 5/8 -1/8))
(*.f64 (cos.f64 x) (/.f64 (fma.f64 (sqrt.f64 5) 5/8 -1/8) (fma.f64 1/2 (sqrt.f64 5/4) 3/2)))
(/.f64 (-.f64 (.f64 (.f64 (cos.f64 x) (sqrt.f64 5/4)) (.f64 (cos.f64 x) (sqrt.f64 5/4))) (.f64 (.f64 (cos.f64 x) -1/2) (.f64 (cos.f64 x) -1/2))) (-.f64 (.f64 (cos.f64 x) (sqrt.f64 5/4)) (.f64 (cos.f64 x) -1/2)))
(*.f64 (cos.f64 x) (+.f64 -1/2 (sqrt.f64 5/4)))
(/.f64 (-.f64 (.f64 (exp.f64 (log1p.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) -1/2)))) (exp.f64 (log1p.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) -1/2))))) 1) (+.f64 (exp.f64 (log1p.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) -1/2)))) 1))
(*.f64 (cos.f64 x) (+.f64 -1/2 (sqrt.f64 5/4)))
(/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 x) (sqrt.f64 5/4)) 3) (pow.f64 (.f64 (cos.f64 x) -1/2) 3)) (+.f64 (.f64 (.f64 (cos.f64 x) (sqrt.f64 5/4)) (.f64 (cos.f64 x) (sqrt.f64 5/4))) (-.f64 (.f64 (.f64 (cos.f64 x) -1/2) (.f64 (cos.f64 x) -1/2)) (.f64 (.f64 (cos.f64 x) (sqrt.f64 5/4)) (*.f64 (cos.f64 x) -1/2)))))
(/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 x) (sqrt.f64 5/4)) 3) (.f64 (pow.f64 (cos.f64 x) 3) -1/8)) (fma.f64 (.f64 (cos.f64 x) (sqrt.f64 5/4)) (.f64 (cos.f64 x) (sqrt.f64 5/4)) (.f64 (.f64 -1/2 (cos.f64 x)) (-.f64 (.f64 -1/2 (cos.f64 x)) (.f64 (cos.f64 x) (sqrt.f64 5/4))))))
(/.f64 (.f64 (pow.f64 (cos.f64 x) 3) (+.f64 (.f64 (sqrt.f64 5/4) 5/4) -1/8)) (+.f64 (.f64 (.f64 (cos.f64 x) (cos.f64 x)) 3/2) (.f64 (.f64 (cos.f64 x) (sqrt.f64 5/4)) (*.f64 1/2 (cos.f64 x)))))
(/.f64 (.f64 (pow.f64 (cos.f64 x) 3) (fma.f64 (sqrt.f64 5/4) 5/4 -1/8)) (.f64 (cos.f64 x) (+.f64 (.f64 (cos.f64 x) 3/2) (.f64 (sqrt.f64 5/4) (*.f64 1/2 (cos.f64 x))))))
(/.f64 (.f64 (pow.f64 (cos.f64 x) 3) (fma.f64 (sqrt.f64 5/4) 5/4 -1/8)) (.f64 (cos.f64 x) (-.f64 (.f64 (cos.f64 x) 3/2) (.f64 (cos.f64 x) (*.f64 -1/2 (sqrt.f64 5/4))))))
(/.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) -1/2)))) 3) 1) (+.f64 (.f64 (exp.f64 (log1p.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) -1/2)))) (exp.f64 (log1p.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) -1/2))))) (+.f64 1 (.f64 (exp.f64 (log1p.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) -1/2)))) 1))))
(/.f64 (+.f64 (pow.f64 (exp.f64 (log1p.f64 (.f64 (cos.f64 x) (+.f64 -1/2 (sqrt.f64 5/4))))) 3) -1) (fma.f64 (exp.f64 (log1p.f64 (.f64 (cos.f64 x) (+.f64 -1/2 (sqrt.f64 5/4))))) (exp.f64 (log1p.f64 (.f64 (cos.f64 x) (+.f64 -1/2 (sqrt.f64 5/4))))) (+.f64 (exp.f64 (log1p.f64 (.f64 (cos.f64 x) (+.f64 -1/2 (sqrt.f64 5/4))))) 1)))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 (log1p.f64 (.f64 (cos.f64 x) (+.f64 -1/2 (sqrt.f64 5/4))))) 3)) (+.f64 (exp.f64 (.f64 2 (log1p.f64 (.f64 (cos.f64 x) (+.f64 -1/2 (sqrt.f64 5/4)))))) (+.f64 (exp.f64 (log1p.f64 (.f64 (cos.f64 x) (+.f64 -1/2 (sqrt.f64 5/4))))) 1)))
(/.f64 (expm1.f64 (.f64 3 (log1p.f64 (.f64 (cos.f64 x) (+.f64 -1/2 (sqrt.f64 5/4)))))) (+.f64 (exp.f64 (log1p.f64 (.f64 (cos.f64 x) (+.f64 -1/2 (sqrt.f64 5/4))))) (+.f64 1 (pow.f64 (exp.f64 2) (log1p.f64 (.f64 (cos.f64 x) (+.f64 -1/2 (sqrt.f64 5/4))))))))
(pow.f64 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) -1/2)) 1)
(*.f64 (cos.f64 x) (+.f64 -1/2 (sqrt.f64 5/4)))
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) -1/2))) 2)
(*.f64 (cos.f64 x) (+.f64 -1/2 (sqrt.f64 5/4)))
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) -1/2))) 3)
(*.f64 (cos.f64 x) (+.f64 -1/2 (sqrt.f64 5/4)))
(pow.f64 (pow.f64 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) -1/2)) 3) 1/3)
(*.f64 (cos.f64 x) (+.f64 -1/2 (sqrt.f64 5/4)))
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) -1/2)) 2))
(*.f64 (cos.f64 x) (+.f64 -1/2 (sqrt.f64 5/4)))
(log.f64 (pow.f64 (exp.f64 (cos.f64 x)) (+.f64 (sqrt.f64 5/4) -1/2)))
(*.f64 (cos.f64 x) (+.f64 -1/2 (sqrt.f64 5/4)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) -1/2)))))
(*.f64 (cos.f64 x) (+.f64 -1/2 (sqrt.f64 5/4)))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) -1/2)) 3))
(*.f64 (cos.f64 x) (+.f64 -1/2 (sqrt.f64 5/4)))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (+.f64 (sqrt.f64 5/4) -1/2) 3)))
(*.f64 (cos.f64 x) (+.f64 -1/2 (sqrt.f64 5/4)))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) -1/2))))
(*.f64 (cos.f64 x) (+.f64 -1/2 (sqrt.f64 5/4)))
(exp.f64 (log.f64 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) -1/2))))
(*.f64 (cos.f64 x) (+.f64 -1/2 (sqrt.f64 5/4)))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) -1/2))))
(*.f64 (cos.f64 x) (+.f64 -1/2 (sqrt.f64 5/4)))

localize209.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(.f64 1/3 (/.f64 (+.f64 2 (.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))) (.f64 (-.f64 (cos.f64 x) 1) (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x))))))) (+.f64 1 (+.f64 (.f64 (-.f64 3/2 (.f64 1/2 (sqrt.f64 5))) (cos.f64 y)) (.f64 (cos.f64 x) (-.f64 (.f64 1/2 (sqrt.f64 5)) 1/2))))))
	0.4b	(+.f64 (.f64 (-.f64 3/2 (.f64 1/2 (sqrt.f64 5))) (cos.f64 y)) (.f64 (cos.f64 x) (-.f64 (.f64 1/2 (sqrt.f64 5)) 1/2)))
	1.0b	(-.f64 3/2 (*.f64 1/2 (sqrt.f64 5)))
✓	1.2b	(-.f64 (cos.f64 x) 1)

Compiler

Compiled 299 to 203 computations (32.1% saved)

series14.0ms (0%)

Counts

2 → 28

Calls

9 calls:

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

rewrite60.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

834×	`add-sqr-sqrt`
804×	`pow1`
804×	`*-un-lft-identity`
780×	`add-exp-log`
780×	`add-cbrt-cube`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	158
1	817	158

Stop Event

1×	node limit

Counts

2 → 22

Calls

Call 1

Inputs

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

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

Outputs

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

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

simplify115.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1584×	`fma-def`
572×	`associate-/r*`
536×	`times-frac`
510×	`associate-r`
500×	`associate-/l*`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	221	6480
1	655	5892
2	2832	5654
3	7350	5544

Stop Event

1×	node limit

Counts

50 → 77

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 2/3 (+.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 1/3 (.f64 (pow.f64 x 2) (-.f64 (.f64 1/32 (/.f64 (.f64 (sqrt.f64 2) (pow.f64 (sin.f64 y) 2)) (+.f64 1/2 (+.f64 (.f64 1/2 (sqrt.f64 5)) (.f64 (-.f64 3/2 (.f64 1/2 (sqrt.f64 5))) (cos.f64 y)))))) (.f64 -1 (/.f64 (-.f64 (.f64 1/2 (sqrt.f64 5)) 1/2) (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)))) 2)))))) (.f64 2/3 (/.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 1/3 (.f64 (pow.f64 x 2) (-.f64 (.f64 1/32 (/.f64 (.f64 (sqrt.f64 2) (pow.f64 (sin.f64 y) 2)) (+.f64 1/2 (+.f64 (.f64 1/2 (sqrt.f64 5)) (.f64 (-.f64 3/2 (.f64 1/2 (sqrt.f64 5))) (cos.f64 y)))))) (.f64 -1 (/.f64 (-.f64 (.f64 1/2 (sqrt.f64 5)) 1/2) (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)))) 2)))))) (+.f64 (.f64 2/3 (/.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 1/3 (/.f64 (.f64 (sqrt.f64 2) (.f64 (+.f64 (.f64 -1/512 (sin.f64 y)) (.f64 -1/2 (sin.f64 y))) (pow.f64 x 3))) (+.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 1/3 (.f64 (-.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 1/32 (.f64 -1/384 (pow.f64 (sin.f64 y) 2)))) (+.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 -1/2 (/.f64 (.f64 (-.f64 (.f64 1/2 (sqrt.f64 5)) 1/2) (-.f64 (.f64 1/32 (/.f64 (.f64 (sqrt.f64 2) (pow.f64 (sin.f64 y) 2)) (+.f64 1/2 (+.f64 (.f64 1/2 (sqrt.f64 5)) (.f64 (-.f64 3/2 (.f64 1/2 (sqrt.f64 5))) (cos.f64 y)))))) (.f64 -1 (/.f64 (-.f64 (.f64 1/2 (sqrt.f64 5)) 1/2) (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)))) 2))))) (+.f64 1/2 (+.f64 (.f64 1/2 (sqrt.f64 5)) (.f64 (-.f64 3/2 (.f64 1/2 (sqrt.f64 5))) (cos.f64 y)))))) (.f64 1/12 (/.f64 (-.f64 (.f64 1/2 (sqrt.f64 5)) 1/2) (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)))) 2))))) (pow.f64 x 4))) (+.f64 (.f64 1/3 (.f64 (pow.f64 x 2) (-.f64 (.f64 1/32 (/.f64 (.f64 (sqrt.f64 2) (pow.f64 (sin.f64 y) 2)) (+.f64 1/2 (+.f64 (.f64 1/2 (sqrt.f64 5)) (.f64 (-.f64 3/2 (.f64 1/2 (sqrt.f64 5))) (cos.f64 y)))))) (.f64 -1 (/.f64 (-.f64 (.f64 1/2 (sqrt.f64 5)) 1/2) (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)))) 2)))))) (+.f64 (.f64 2/3 (/.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 1/3 (/.f64 (.f64 (sqrt.f64 2) (.f64 (+.f64 (.f64 -1/512 (sin.f64 y)) (.f64 -1/2 (sin.f64 y))) (pow.f64 x 3))) (+.f64 1/2 (+.f64 (.f64 1/2 (sqrt.f64 5)) (.f64 (-.f64 3/2 (.f64 1/2 (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 (sin.f64 x) (.f64 1/16 (sin.f64 y))) (-.f64 (cos.f64 x) 1))))) (+.f64 1 (+.f64 (.f64 (-.f64 3/2 (.f64 1/2 (sqrt.f64 5))) (cos.f64 y)) (.f64 (cos.f64 x) (-.f64 (.f64 1/2 (sqrt.f64 5)) 1/2))))))
(.f64 1/3 (/.f64 (+.f64 2 (.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))))) (+.f64 1 (+.f64 (.f64 (-.f64 3/2 (.f64 1/2 (sqrt.f64 5))) (cos.f64 y)) (.f64 (cos.f64 x) (-.f64 (.f64 1/2 (sqrt.f64 5)) 1/2))))))
(.f64 1/3 (/.f64 (+.f64 2 (.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))))) (+.f64 1 (+.f64 (.f64 (-.f64 3/2 (.f64 1/2 (sqrt.f64 5))) (cos.f64 y)) (.f64 (cos.f64 x) (-.f64 (.f64 1/2 (sqrt.f64 5)) 1/2))))))
(.f64 1/3 (/.f64 (+.f64 2 (.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))))) (+.f64 1 (+.f64 (.f64 (-.f64 3/2 (.f64 1/2 (sqrt.f64 5))) (cos.f64 y)) (.f64 (cos.f64 x) (-.f64 (.f64 1/2 (sqrt.f64 5)) 1/2))))))
(.f64 1/3 (/.f64 (+.f64 2 (.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))))) (+.f64 1 (+.f64 (.f64 (-.f64 3/2 (.f64 1/2 (sqrt.f64 5))) (cos.f64 y)) (.f64 (cos.f64 x) (-.f64 (.f64 1/2 (sqrt.f64 5)) 1/2))))))
(.f64 1/3 (/.f64 (+.f64 2 (.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))))) (+.f64 1 (+.f64 (.f64 (-.f64 3/2 (.f64 1/2 (sqrt.f64 5))) (cos.f64 y)) (.f64 (cos.f64 x) (-.f64 (.f64 1/2 (sqrt.f64 5)) 1/2))))))
(.f64 1/3 (/.f64 (+.f64 2 (.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))))) (+.f64 1 (+.f64 (.f64 (-.f64 3/2 (.f64 1/2 (sqrt.f64 5))) (cos.f64 y)) (.f64 (cos.f64 x) (-.f64 (.f64 1/2 (sqrt.f64 5)) 1/2))))))
(.f64 1/3 (/.f64 (+.f64 2 (.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))))) (+.f64 1 (+.f64 (.f64 (-.f64 3/2 (.f64 1/2 (sqrt.f64 5))) (cos.f64 y)) (.f64 (cos.f64 x) (-.f64 (.f64 1/2 (sqrt.f64 5)) 1/2))))))
(.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 (+.f64 5/2 (.f64 (cos.f64 x) (-.f64 (.f64 1/2 (sqrt.f64 5)) 1/2))) (*.f64 1/2 (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 (+.f64 5/2 (.f64 (cos.f64 x) (-.f64 (.f64 1/2 (sqrt.f64 5)) 1/2))) (.f64 1/2 (sqrt.f64 5))))) (.f64 1/3 (/.f64 (.f64 (sqrt.f64 2) (.f64 y (+.f64 (.f64 (sin.f64 x) (-.f64 (cos.f64 x) 1)) (.f64 1/256 (.f64 (sin.f64 x) (-.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 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 1/3 (.f64 (pow.f64 y 2) (-.f64 (.f64 -1/16 (/.f64 (.f64 (sqrt.f64 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 -1/2 (/.f64 (.f64 (-.f64 3/2 (.f64 1/2 (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 (+.f64 5/2 (.f64 (cos.f64 x) (-.f64 (.f64 1/2 (sqrt.f64 5)) 1/2))) (.f64 1/2 (sqrt.f64 5))) 2)))))) (.f64 1/3 (/.f64 (.f64 (sqrt.f64 2) (.f64 y (+.f64 (.f64 (sin.f64 x) (-.f64 (cos.f64 x) 1)) (.f64 1/256 (.f64 (sin.f64 x) (-.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 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 1/3 (.f64 (pow.f64 y 3) (-.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 -1/1536 (.f64 (sin.f64 x) (-.f64 (cos.f64 x) 1))) (.f64 -1/6 (.f64 (sin.f64 x) (-.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 -1/2 (/.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 3/2 (.f64 1/2 (sqrt.f64 5))) (+.f64 (.f64 (sin.f64 x) (-.f64 (cos.f64 x) 1)) (.f64 1/256 (.f64 (sin.f64 x) (-.f64 (cos.f64 x) 1)))))) (pow.f64 (-.f64 (+.f64 5/2 (.f64 (cos.f64 x) (-.f64 (.f64 1/2 (sqrt.f64 5)) 1/2))) (.f64 1/2 (sqrt.f64 5))) 2)))))) (+.f64 (.f64 1/3 (.f64 (pow.f64 y 2) (-.f64 (.f64 -1/16 (/.f64 (.f64 (sqrt.f64 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 -1/2 (/.f64 (.f64 (-.f64 3/2 (.f64 1/2 (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 (+.f64 5/2 (.f64 (cos.f64 x) (-.f64 (.f64 1/2 (sqrt.f64 5)) 1/2))) (.f64 1/2 (sqrt.f64 5))) 2)))))) (.f64 1/3 (/.f64 (.f64 (sqrt.f64 2) (.f64 y (+.f64 (.f64 (sin.f64 x) (-.f64 (cos.f64 x) 1)) (.f64 1/256 (.f64 (sin.f64 x) (-.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 1/3 (/.f64 (+.f64 2 (.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))) (.f64 (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x))) (-.f64 (cos.f64 x) 1))))) (+.f64 1 (+.f64 (.f64 (-.f64 3/2 (.f64 1/2 (sqrt.f64 5))) (cos.f64 y)) (.f64 (cos.f64 x) (-.f64 (.f64 1/2 (sqrt.f64 5)) 1/2))))))
(.f64 1/3 (/.f64 (+.f64 2 (.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))) (.f64 (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x))) (-.f64 (cos.f64 x) 1))))) (+.f64 1 (+.f64 (.f64 (-.f64 3/2 (.f64 1/2 (sqrt.f64 5))) (cos.f64 y)) (.f64 (cos.f64 x) (-.f64 (.f64 1/2 (sqrt.f64 5)) 1/2))))))
(.f64 1/3 (/.f64 (+.f64 2 (.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))) (.f64 (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x))) (-.f64 (cos.f64 x) 1))))) (+.f64 1 (+.f64 (.f64 (-.f64 3/2 (.f64 1/2 (sqrt.f64 5))) (cos.f64 y)) (.f64 (cos.f64 x) (-.f64 (.f64 1/2 (sqrt.f64 5)) 1/2))))))
(.f64 1/3 (/.f64 (+.f64 2 (.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))) (.f64 (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x))) (-.f64 (cos.f64 x) 1))))) (+.f64 1 (+.f64 (.f64 (-.f64 3/2 (.f64 1/2 (sqrt.f64 5))) (cos.f64 y)) (.f64 (cos.f64 x) (-.f64 (.f64 1/2 (sqrt.f64 5)) 1/2))))))
(.f64 1/3 (/.f64 (+.f64 2 (.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))))) (+.f64 1 (+.f64 (.f64 (-.f64 3/2 (.f64 1/2 (sqrt.f64 5))) (cos.f64 y)) (.f64 (cos.f64 x) (-.f64 (.f64 1/2 (sqrt.f64 5)) 1/2))))))
(.f64 1/3 (/.f64 (+.f64 2 (.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))))) (+.f64 1 (+.f64 (.f64 (-.f64 3/2 (.f64 1/2 (sqrt.f64 5))) (cos.f64 y)) (.f64 (cos.f64 x) (-.f64 (.f64 1/2 (sqrt.f64 5)) 1/2))))))
(.f64 1/3 (/.f64 (+.f64 2 (.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))))) (+.f64 1 (+.f64 (.f64 (-.f64 3/2 (.f64 1/2 (sqrt.f64 5))) (cos.f64 y)) (.f64 (cos.f64 x) (-.f64 (.f64 1/2 (sqrt.f64 5)) 1/2))))))
(.f64 1/3 (/.f64 (+.f64 2 (.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))))) (+.f64 1 (+.f64 (.f64 (-.f64 3/2 (.f64 1/2 (sqrt.f64 5))) (cos.f64 y)) (.f64 (cos.f64 x) (-.f64 (.f64 1/2 (sqrt.f64 5)) 1/2))))))
(+.f64 (cos.f64 x) -1)
(+.f64 -1 (cos.f64 x))
(*.f64 1 (+.f64 (cos.f64 x) -1))
(*.f64 (+.f64 (cos.f64 x) -1) 1)
(*.f64 (sqrt.f64 (+.f64 (cos.f64 x) -1)) (sqrt.f64 (+.f64 (cos.f64 x) -1)))
(.f64 (cbrt.f64 (+.f64 (cos.f64 x) -1)) (.f64 (cbrt.f64 (+.f64 (cos.f64 x) -1)) (cbrt.f64 (+.f64 (cos.f64 x) -1))))
(.f64 (.f64 (cbrt.f64 (+.f64 (cos.f64 x) -1)) (cbrt.f64 (+.f64 (cos.f64 x) -1))) (cbrt.f64 (+.f64 (cos.f64 x) -1)))
(/.f64 (-.f64 (*.f64 (cos.f64 x) (cos.f64 x)) 1) (+.f64 (cos.f64 x) 1))
(/.f64 (-.f64 (pow.f64 (cos.f64 x) 3) 1) (+.f64 (*.f64 (cos.f64 x) (cos.f64 x)) (+.f64 (cos.f64 x) 1)))
(pow.f64 (+.f64 (cos.f64 x) -1) 1)
(log.f64 (exp.f64 (+.f64 (cos.f64 x) -1)))
(cbrt.f64 (.f64 (+.f64 (cos.f64 x) -1) (.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1))))
(expm1.f64 (log1p.f64 (+.f64 (cos.f64 x) -1)))
(exp.f64 (log.f64 (+.f64 (cos.f64 x) -1)))
(log1p.f64 (expm1.f64 (+.f64 (cos.f64 x) -1)))
(/.f64 (.f64 1/3 (+.f64 2 (.f64 (sqrt.f64 2) (.f64 (+.f64 (sin.f64 x) (.f64 (sin.f64 y) -1/16)) (.f64 (+.f64 (cos.f64 x) -1) (+.f64 (sin.f64 y) (.f64 (sin.f64 x) -1/16))))))) (+.f64 1 (fma.f64 (+.f64 3/2 (.f64 (sqrt.f64 5) -1/2)) (cos.f64 y) (.f64 (cos.f64 x) (fma.f64 1/2 (sqrt.f64 5) -1/2)))))
(pow.f64 (.f64 1/3 (/.f64 (+.f64 2 (.f64 (sqrt.f64 2) (.f64 (+.f64 (sin.f64 x) (.f64 (sin.f64 y) -1/16)) (.f64 (+.f64 (cos.f64 x) -1) (+.f64 (sin.f64 y) (.f64 (sin.f64 x) -1/16)))))) (+.f64 1 (fma.f64 (+.f64 3/2 (.f64 (sqrt.f64 5) -1/2)) (cos.f64 y) (.f64 (cos.f64 x) (fma.f64 1/2 (sqrt.f64 5) -1/2)))))) 1)
(log.f64 (exp.f64 (.f64 1/3 (/.f64 (+.f64 2 (.f64 (sqrt.f64 2) (.f64 (+.f64 (sin.f64 x) (.f64 (sin.f64 y) -1/16)) (.f64 (+.f64 (cos.f64 x) -1) (+.f64 (sin.f64 y) (.f64 (sin.f64 x) -1/16)))))) (+.f64 1 (fma.f64 (+.f64 3/2 (.f64 (sqrt.f64 5) -1/2)) (cos.f64 y) (.f64 (cos.f64 x) (fma.f64 1/2 (sqrt.f64 5) -1/2))))))))
(cbrt.f64 (.f64 (.f64 1/3 (/.f64 (+.f64 2 (.f64 (sqrt.f64 2) (.f64 (+.f64 (sin.f64 x) (.f64 (sin.f64 y) -1/16)) (.f64 (+.f64 (cos.f64 x) -1) (+.f64 (sin.f64 y) (.f64 (sin.f64 x) -1/16)))))) (+.f64 1 (fma.f64 (+.f64 3/2 (.f64 (sqrt.f64 5) -1/2)) (cos.f64 y) (.f64 (cos.f64 x) (fma.f64 1/2 (sqrt.f64 5) -1/2)))))) (.f64 1/3 (.f64 (/.f64 (+.f64 2 (.f64 (sqrt.f64 2) (.f64 (+.f64 (sin.f64 x) (.f64 (sin.f64 y) -1/16)) (.f64 (+.f64 (cos.f64 x) -1) (+.f64 (sin.f64 y) (.f64 (sin.f64 x) -1/16)))))) (+.f64 1 (fma.f64 (+.f64 3/2 (.f64 (sqrt.f64 5) -1/2)) (cos.f64 y) (.f64 (cos.f64 x) (fma.f64 1/2 (sqrt.f64 5) -1/2))))) (.f64 1/3 (/.f64 (+.f64 2 (.f64 (sqrt.f64 2) (.f64 (+.f64 (sin.f64 x) (.f64 (sin.f64 y) -1/16)) (.f64 (+.f64 (cos.f64 x) -1) (+.f64 (sin.f64 y) (.f64 (sin.f64 x) -1/16)))))) (+.f64 1 (fma.f64 (+.f64 3/2 (.f64 (sqrt.f64 5) -1/2)) (cos.f64 y) (.f64 (cos.f64 x) (fma.f64 1/2 (sqrt.f64 5) -1/2))))))))))
(expm1.f64 (log1p.f64 (.f64 1/3 (/.f64 (+.f64 2 (.f64 (sqrt.f64 2) (.f64 (+.f64 (sin.f64 x) (.f64 (sin.f64 y) -1/16)) (.f64 (+.f64 (cos.f64 x) -1) (+.f64 (sin.f64 y) (.f64 (sin.f64 x) -1/16)))))) (+.f64 1 (fma.f64 (+.f64 3/2 (.f64 (sqrt.f64 5) -1/2)) (cos.f64 y) (.f64 (cos.f64 x) (fma.f64 1/2 (sqrt.f64 5) -1/2))))))))
(exp.f64 (log.f64 (.f64 1/3 (/.f64 (+.f64 2 (.f64 (sqrt.f64 2) (.f64 (+.f64 (sin.f64 x) (.f64 (sin.f64 y) -1/16)) (.f64 (+.f64 (cos.f64 x) -1) (+.f64 (sin.f64 y) (.f64 (sin.f64 x) -1/16)))))) (+.f64 1 (fma.f64 (+.f64 3/2 (.f64 (sqrt.f64 5) -1/2)) (cos.f64 y) (.f64 (cos.f64 x) (fma.f64 1/2 (sqrt.f64 5) -1/2))))))))
(log1p.f64 (expm1.f64 (.f64 1/3 (/.f64 (+.f64 2 (.f64 (sqrt.f64 2) (.f64 (+.f64 (sin.f64 x) (.f64 (sin.f64 y) -1/16)) (.f64 (+.f64 (cos.f64 x) -1) (+.f64 (sin.f64 y) (.f64 (sin.f64 x) -1/16)))))) (+.f64 1 (fma.f64 (+.f64 3/2 (.f64 (sqrt.f64 5) -1/2)) (cos.f64 y) (.f64 (cos.f64 x) (fma.f64 1/2 (sqrt.f64 5) -1/2))))))))

Outputs
(*.f64 -1/2 (pow.f64 x 2))
(.f64 -1/2 (.f64 x x))
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(.f64 1/3 (/.f64 (fma.f64 (sqrt.f64 2) (.f64 (fma.f64 (sin.f64 y) -1/16 (sin.f64 x)) (.f64 (fma.f64 (sin.f64 x) -1/16 (sin.f64 y)) (+.f64 -1 (cos.f64 x)))) 2) (+.f64 1 (fma.f64 (fma.f64 -1/2 (sqrt.f64 5) 3/2) (cos.f64 y) (.f64 (fma.f64 1/2 (sqrt.f64 5) -1/2) (cos.f64 x))))))
(.f64 1/3 (/.f64 (fma.f64 (fma.f64 (sin.f64 y) -1/16 (sin.f64 x)) (.f64 (*.f64 (fma.f64 (sin.f64 x) -1/16 (sin.f64 y)) (+.f64 -1 (cos.f64 x))) (sqrt.f64 2)) 2) (fma.f64 (fma.f64 -1/2 (sqrt.f64 5) 3/2) (cos.f64 y) (fma.f64 (fma.f64 1/2 (sqrt.f64 5) -1/2) (cos.f64 x) 1))))
(log1p.f64 (expm1.f64 (.f64 1/3 (/.f64 (+.f64 2 (.f64 (sqrt.f64 2) (.f64 (+.f64 (sin.f64 x) (.f64 (sin.f64 y) -1/16)) (.f64 (+.f64 (cos.f64 x) -1) (+.f64 (sin.f64 y) (.f64 (sin.f64 x) -1/16)))))) (+.f64 1 (fma.f64 (+.f64 3/2 (.f64 (sqrt.f64 5) -1/2)) (cos.f64 y) (.f64 (cos.f64 x) (fma.f64 1/2 (sqrt.f64 5) -1/2))))))))
(.f64 1/3 (/.f64 (+.f64 2 (.f64 (sqrt.f64 2) (.f64 (+.f64 (sin.f64 x) (.f64 (sin.f64 y) -1/16)) (.f64 (+.f64 (sin.f64 y) (.f64 (sin.f64 x) -1/16)) (+.f64 -1 (cos.f64 x)))))) (+.f64 1 (fma.f64 (+.f64 3/2 (.f64 -1/2 (sqrt.f64 5))) (cos.f64 y) (.f64 (fma.f64 1/2 (sqrt.f64 5) -1/2) (cos.f64 x))))))
(.f64 1/3 (/.f64 (fma.f64 (sqrt.f64 2) (.f64 (fma.f64 (sin.f64 y) -1/16 (sin.f64 x)) (.f64 (fma.f64 (sin.f64 x) -1/16 (sin.f64 y)) (+.f64 -1 (cos.f64 x)))) 2) (+.f64 1 (fma.f64 (fma.f64 -1/2 (sqrt.f64 5) 3/2) (cos.f64 y) (.f64 (fma.f64 1/2 (sqrt.f64 5) -1/2) (cos.f64 x))))))
(.f64 1/3 (/.f64 (fma.f64 (fma.f64 (sin.f64 y) -1/16 (sin.f64 x)) (.f64 (*.f64 (fma.f64 (sin.f64 x) -1/16 (sin.f64 y)) (+.f64 -1 (cos.f64 x))) (sqrt.f64 2)) 2) (fma.f64 (fma.f64 -1/2 (sqrt.f64 5) 3/2) (cos.f64 y) (fma.f64 (fma.f64 1/2 (sqrt.f64 5) -1/2) (cos.f64 x) 1))))

localize171.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.4b	(+.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))))
	1.0b	(-.f64 3/2 (/.f64 (sqrt.f64 5) 2))
	1.4b	(-.f64 (cos.f64 x) (cos.f64 y))
✓	4.8b	(log.f64 (+.f64 1 (expm1.f64 (.f64 (sqrt.f64 2) (.f64 -1/16 (sin.f64 y))))))

Compiler

Compiled 293 to 205 computations (30% saved)

series154.0ms (0.5%)

Counts

1 → 12

Calls

3 calls:

Time

Variable

Point

Expression

77.0ms

-inf

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

75.0ms

inf

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

1.0ms

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

rewrite74.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1024×	`*-commutative`
704×	`unswap-sqr`
618×	`swap-sqr`
470×	`distribute-lft-in`
462×	`distribute-rgt-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	21
1	277	21
2	2961	21

Stop Event

1×	node limit

Counts

1 → 61

Calls

Call 1

Inputs
(log.f64 (+.f64 1 (expm1.f64 (.f64 (sqrt.f64 2) (.f64 -1/16 (sin.f64 y))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 2) (*.f64 -1/16 (sin.f64 y))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (sqrt.f64 2) (*.f64 -1/16 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (cbrt.f64 (exp.f64 (*.f64 (*.f64 (sqrt.f64 2) (sin.f64 y)) -1/8)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 2)) (*.f64 -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 -1/16 (sin.f64 y))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 2)) (*.f64 -1/16 (sin.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 2)) (*.f64 -1/16 (sin.f64 y))))) (log.f64 (cbrt.f64 (exp.f64 (*.f64 (*.f64 (sqrt.f64 2) (sin.f64 y)) -1/8)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 0 (log.f64 (cbrt.f64 (exp.f64 (*.f64 (*.f64 (sqrt.f64 2) (sin.f64 y)) -1/8))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 2)) (*.f64 -1/16 (sin.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 0 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 2)) (*.f64 -1/16 (sin.f64 y)))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 2)) (*.f64 -1/16 (sin.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1 (log.f64 (cbrt.f64 (exp.f64 (*.f64 (*.f64 (sqrt.f64 2) (sin.f64 y)) -1/8))))) (*.f64 1 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 2)) (*.f64 -1/16 (sin.f64 y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 2)) (*.f64 -1/16 (sin.f64 y)))))) (*.f64 1 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 2)) (*.f64 -1/16 (sin.f64 y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 (cbrt.f64 (exp.f64 (*.f64 (*.f64 (sqrt.f64 2) (sin.f64 y)) -1/8)))) 1) (*.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 2)) (*.f64 -1/16 (sin.f64 y))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 2)) (*.f64 -1/16 (sin.f64 y))))) 1) (*.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 2)) (*.f64 -1/16 (sin.f64 y))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (+.f64 1 (pow.f64 (expm1.f64 (*.f64 (sqrt.f64 2) (*.f64 -1/16 (sin.f64 y)))) 3))) (log.f64 (+.f64 1 (*.f64 (expm1.f64 (*.f64 (sqrt.f64 2) (*.f64 -1/16 (sin.f64 y)))) (+.f64 (expm1.f64 (*.f64 (sqrt.f64 2) (*.f64 -1/16 (sin.f64 y)))) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (-.f64 1 (pow.f64 (expm1.f64 (*.f64 (sqrt.f64 2) (*.f64 -1/16 (sin.f64 y)))) 2))) (log.f64 (-.f64 1 (expm1.f64 (*.f64 (sqrt.f64 2) (*.f64 -1/16 (sin.f64 y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 2) (*.f64 -1/16 (sin.f64 y))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 0 (log.f64 (+.f64 1 (pow.f64 (expm1.f64 (*.f64 (sqrt.f64 2) (*.f64 -1/16 (sin.f64 y)))) 3)))) (log.f64 (+.f64 1 (*.f64 (expm1.f64 (*.f64 (sqrt.f64 2) (*.f64 -1/16 (sin.f64 y)))) (+.f64 (expm1.f64 (*.f64 (sqrt.f64 2) (*.f64 -1/16 (sin.f64 y)))) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 0 (log.f64 (-.f64 1 (pow.f64 (expm1.f64 (*.f64 (sqrt.f64 2) (*.f64 -1/16 (sin.f64 y)))) 2)))) (log.f64 (-.f64 1 (expm1.f64 (*.f64 (sqrt.f64 2) (*.f64 -1/16 (sin.f64 y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 0 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 2) (*.f64 -1/16 (sin.f64 y)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (sqrt.f64 2) (*.f64 -1/16 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 2)) (*.f64 -1/16 (sin.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 2) (*.f64 -1/16 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/16 (*.f64 (sqrt.f64 2) (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 y) (*.f64 (sqrt.f64 2) -1/16))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -1/16 (sin.f64 y)) (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 2) (*.f64 -1/16 (sin.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (sqrt.f64 2) (*.f64 -1/16 (sin.f64 y)))) (sqrt.f64 (*.f64 (sqrt.f64 2) (*.f64 -1/16 (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 y)) (*.f64 (sqrt.f64 (sin.f64 y)) (*.f64 (sqrt.f64 2) -1/16)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 2 1/4) (*.f64 (*.f64 -1/16 (sin.f64 y)) (pow.f64 2 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 -1/16 (sin.f64 y))) (*.f64 (sqrt.f64 2) (sqrt.f64 (*.f64 -1/16 (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (sqrt.f64 2) (*.f64 -1/16 (sin.f64 y)))) (cbrt.f64 (*.f64 (pow.f64 (sin.f64 y) 2) 1/128)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 y) 2) 1/128)) (cbrt.f64 (*.f64 (sqrt.f64 2) (*.f64 -1/16 (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sin.f64 y)) (*.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (*.f64 (sqrt.f64 2) -1/16)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 2)) (*.f64 (*.f64 -1/16 (sin.f64 y)) (cbrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 2) (*.f64 (*.f64 -1/16 (sin.f64 y)) (cbrt.f64 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 -1/16 (sin.f64 y))) (*.f64 (sqrt.f64 2) (pow.f64 (cbrt.f64 (*.f64 -1/16 (sin.f64 y))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 -1/16 (sin.f64 y))) 2) (*.f64 (sqrt.f64 2) (cbrt.f64 (*.f64 -1/16 (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 2) -1/16) (sin.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 (*.f64 -1/16 (sin.f64 y)))) (sqrt.f64 (*.f64 -1/16 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 2) (pow.f64 (cbrt.f64 (*.f64 -1/16 (sin.f64 y))) 2)) (cbrt.f64 (*.f64 -1/16 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 -1/16 (sin.f64 y)) (pow.f64 2 1/4)) (pow.f64 2 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 -1/16 (sin.f64 y)) (cbrt.f64 2)) (cbrt.f64 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (sin.f64 y)) (*.f64 (sqrt.f64 2) -1/16)) (sqrt.f64 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (*.f64 (sqrt.f64 2) -1/16)) (cbrt.f64 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 -1/16 (sin.f64 y)) (cbrt.f64 (sqrt.f64 2))) (cbrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 2) (sin.f64 y)) -1/16)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 2) (cbrt.f64 (*.f64 -1/16 (sin.f64 y)))) (pow.f64 (cbrt.f64 (*.f64 -1/16 (sin.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (sqrt.f64 2) (*.f64 -1/16 (sin.f64 y))))) (cbrt.f64 (*.f64 (sqrt.f64 2) (*.f64 -1/16 (sin.f64 y))))) (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (sqrt.f64 2) (*.f64 -1/16 (sin.f64 y))))) (cbrt.f64 (*.f64 (sqrt.f64 2) (*.f64 -1/16 (sin.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (sqrt.f64 2) (*.f64 -1/16 (sin.f64 y))))) (sqrt.f64 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 y) 2) 1/128)))) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (sqrt.f64 2) (*.f64 -1/16 (sin.f64 y))))) (sqrt.f64 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 y) 2) 1/128)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (*.f64 (sqrt.f64 2) (*.f64 -1/16 (sin.f64 y)))) (sqrt.f64 (cbrt.f64 (*.f64 (sqrt.f64 2) (*.f64 -1/16 (sin.f64 y)))))) (*.f64 (cbrt.f64 (*.f64 (sqrt.f64 2) (*.f64 -1/16 (sin.f64 y)))) (sqrt.f64 (cbrt.f64 (*.f64 (sqrt.f64 2) (*.f64 -1/16 (sin.f64 y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 y) 2) 1/128))) (cbrt.f64 (sqrt.f64 (*.f64 (sqrt.f64 2) (*.f64 -1/16 (sin.f64 y)))))) (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 y) 2) 1/128))) (cbrt.f64 (sqrt.f64 (*.f64 (sqrt.f64 2) (*.f64 -1/16 (sin.f64 y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 2) (*.f64 -1/16 (sin.f64 y)))) 3/2) (pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 2) (*.f64 -1/16 (sin.f64 y)))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 (sqrt.f64 2) (*.f64 -1/16 (sin.f64 y))) 3) 1/6) (pow.f64 (pow.f64 (*.f64 (sqrt.f64 2) (*.f64 -1/16 (sin.f64 y))) 3) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 2) (*.f64 -1/16 (sin.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 2) (*.f64 -1/16 (sin.f64 y)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 2) (*.f64 -1/16 (sin.f64 y)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sqrt.f64 2) (*.f64 -1/16 (sin.f64 y))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (sin.f64 y) 2) 1/128))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 2) (*.f64 -1/16 (sin.f64 y))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (*.f64 2 (sqrt.f64 2)) (pow.f64 (*.f64 -1/16 (sin.f64 y)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 2) (*.f64 -1/16 (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sqrt.f64 2) (*.f64 -1/16 (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 2) (*.f64 -1/16 (sin.f64 y)))))))))

simplify105.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1098×	`fma-def`
942×	`+-commutative`
848×	`*-commutative`
832×	`log-prod`
632×	`unswap-sqr`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	213	2657
1	529	2509
2	2034	2409
3	5546	2405

Stop Event

1×	node limit

Counts

73 → 87

Calls

Call 1

Inputs
(.f64 -1/16 (.f64 (sqrt.f64 2) y))
(+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) y)) (.f64 1/2 (.f64 (pow.f64 y 2) (+.f64 (.f64 1/256 (pow.f64 (sqrt.f64 2) 2)) (.f64 -1/256 (pow.f64 (sqrt.f64 2) 2))))))
(+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) y)) (+.f64 (.f64 1/2 (.f64 (pow.f64 y 2) (+.f64 (.f64 1/256 (pow.f64 (sqrt.f64 2) 2)) (.f64 -1/256 (pow.f64 (sqrt.f64 2) 2))))) (.f64 1/6 (.f64 (pow.f64 y 3) (+.f64 (.f64 3/4096 (pow.f64 (sqrt.f64 2) 3)) (+.f64 (.f64 6 (+.f64 (.f64 -1/24576 (pow.f64 (sqrt.f64 2) 3)) (.f64 1/96 (sqrt.f64 2)))) (*.f64 -1/2048 (pow.f64 (sqrt.f64 2) 3))))))))
(+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) y)) (+.f64 (.f64 1/24 (.f64 (pow.f64 y 4) (+.f64 (.f64 3/16384 (pow.f64 (sqrt.f64 2) 4)) (+.f64 (.f64 -3/65536 (pow.f64 (sqrt.f64 2) 4)) (+.f64 (.f64 -3/32768 (pow.f64 (sqrt.f64 2) 4)) (+.f64 (.f64 24 (+.f64 (.f64 1/1572864 (pow.f64 (sqrt.f64 2) 4)) (.f64 -1/1536 (pow.f64 (sqrt.f64 2) 2)))) (.f64 3/2 (.f64 (sqrt.f64 2) (+.f64 (.f64 -1/24576 (pow.f64 (sqrt.f64 2) 3)) (.f64 1/96 (sqrt.f64 2))))))))))) (+.f64 (.f64 1/2 (.f64 (pow.f64 y 2) (+.f64 (.f64 1/256 (pow.f64 (sqrt.f64 2) 2)) (.f64 -1/256 (pow.f64 (sqrt.f64 2) 2))))) (.f64 1/6 (.f64 (pow.f64 y 3) (+.f64 (.f64 3/4096 (pow.f64 (sqrt.f64 2) 3)) (+.f64 (.f64 6 (+.f64 (.f64 -1/24576 (pow.f64 (sqrt.f64 2) 3)) (.f64 1/96 (sqrt.f64 2)))) (*.f64 -1/2048 (pow.f64 (sqrt.f64 2) 3)))))))))
(.f64 -1/16 (.f64 (sqrt.f64 2) (sin.f64 y)))
(.f64 -1/16 (.f64 (sqrt.f64 2) (sin.f64 y)))
(.f64 -1/16 (.f64 (sqrt.f64 2) (sin.f64 y)))
(.f64 -1/16 (.f64 (sqrt.f64 2) (sin.f64 y)))
(.f64 -1/16 (.f64 (sqrt.f64 2) (sin.f64 y)))
(.f64 -1/16 (.f64 (sqrt.f64 2) (sin.f64 y)))
(.f64 -1/16 (.f64 (sqrt.f64 2) (sin.f64 y)))
(.f64 -1/16 (.f64 (sqrt.f64 2) (sin.f64 y)))
(+.f64 (.f64 (sqrt.f64 2) (.f64 -1/16 (sin.f64 y))) 0)
(+.f64 0 (.f64 (sqrt.f64 2) (.f64 -1/16 (sin.f64 y))))
(+.f64 (log.f64 (cbrt.f64 (exp.f64 (.f64 (.f64 (sqrt.f64 2) (sin.f64 y)) -1/8)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 2)) (*.f64 -1/16 (sin.f64 y))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 2)) (.f64 -1/16 (sin.f64 y))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 2)) (.f64 -1/16 (sin.f64 y))))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 2)) (.f64 -1/16 (sin.f64 y))))) (log.f64 (cbrt.f64 (exp.f64 (.f64 (*.f64 (sqrt.f64 2) (sin.f64 y)) -1/8)))))
(+.f64 (+.f64 0 (log.f64 (cbrt.f64 (exp.f64 (.f64 (.f64 (sqrt.f64 2) (sin.f64 y)) -1/8))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 2)) (*.f64 -1/16 (sin.f64 y))))))
(+.f64 (+.f64 0 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 2)) (.f64 -1/16 (sin.f64 y)))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 2)) (.f64 -1/16 (sin.f64 y))))))
(+.f64 (.f64 1 (log.f64 (cbrt.f64 (exp.f64 (.f64 (.f64 (sqrt.f64 2) (sin.f64 y)) -1/8))))) (.f64 1 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 2)) (*.f64 -1/16 (sin.f64 y)))))))
(+.f64 (.f64 1 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 2)) (.f64 -1/16 (sin.f64 y)))))) (.f64 1 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 2)) (.f64 -1/16 (sin.f64 y)))))))
(+.f64 (.f64 (log.f64 (cbrt.f64 (exp.f64 (.f64 (.f64 (sqrt.f64 2) (sin.f64 y)) -1/8)))) 1) (.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 2)) (*.f64 -1/16 (sin.f64 y))))) 1))
(+.f64 (.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 2)) (.f64 -1/16 (sin.f64 y))))) 1) (.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 2)) (.f64 -1/16 (sin.f64 y))))) 1))
(-.f64 (log.f64 (+.f64 1 (pow.f64 (expm1.f64 (.f64 (sqrt.f64 2) (.f64 -1/16 (sin.f64 y)))) 3))) (log.f64 (+.f64 1 (.f64 (expm1.f64 (.f64 (sqrt.f64 2) (.f64 -1/16 (sin.f64 y)))) (+.f64 (expm1.f64 (.f64 (sqrt.f64 2) (*.f64 -1/16 (sin.f64 y)))) -1)))))
(-.f64 (log.f64 (-.f64 1 (pow.f64 (expm1.f64 (.f64 (sqrt.f64 2) (.f64 -1/16 (sin.f64 y)))) 2))) (log.f64 (-.f64 1 (expm1.f64 (.f64 (sqrt.f64 2) (.f64 -1/16 (sin.f64 y)))))))
(-.f64 (exp.f64 (log1p.f64 (.f64 (sqrt.f64 2) (.f64 -1/16 (sin.f64 y))))) 1)
(-.f64 (+.f64 0 (log.f64 (+.f64 1 (pow.f64 (expm1.f64 (.f64 (sqrt.f64 2) (.f64 -1/16 (sin.f64 y)))) 3)))) (log.f64 (+.f64 1 (.f64 (expm1.f64 (.f64 (sqrt.f64 2) (.f64 -1/16 (sin.f64 y)))) (+.f64 (expm1.f64 (.f64 (sqrt.f64 2) (*.f64 -1/16 (sin.f64 y)))) -1)))))
(-.f64 (+.f64 0 (log.f64 (-.f64 1 (pow.f64 (expm1.f64 (.f64 (sqrt.f64 2) (.f64 -1/16 (sin.f64 y)))) 2)))) (log.f64 (-.f64 1 (expm1.f64 (.f64 (sqrt.f64 2) (.f64 -1/16 (sin.f64 y)))))))
(-.f64 (+.f64 0 (exp.f64 (log1p.f64 (.f64 (sqrt.f64 2) (.f64 -1/16 (sin.f64 y)))))) 1)
(.f64 1 (.f64 (sqrt.f64 2) (*.f64 -1/16 (sin.f64 y))))
(.f64 2 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 2)) (.f64 -1/16 (sin.f64 y))))))
(.f64 (sqrt.f64 2) (.f64 -1/16 (sin.f64 y)))
(.f64 -1/16 (.f64 (sqrt.f64 2) (sin.f64 y)))
(.f64 (sin.f64 y) (.f64 (sqrt.f64 2) -1/16))
(.f64 (.f64 -1/16 (sin.f64 y)) (sqrt.f64 2))
(.f64 (.f64 (sqrt.f64 2) (*.f64 -1/16 (sin.f64 y))) 1)
(.f64 (sqrt.f64 (.f64 (sqrt.f64 2) (.f64 -1/16 (sin.f64 y)))) (sqrt.f64 (.f64 (sqrt.f64 2) (*.f64 -1/16 (sin.f64 y)))))
(.f64 (sqrt.f64 (sin.f64 y)) (.f64 (sqrt.f64 (sin.f64 y)) (*.f64 (sqrt.f64 2) -1/16)))
(.f64 (pow.f64 2 1/4) (.f64 (*.f64 -1/16 (sin.f64 y)) (pow.f64 2 1/4)))
(.f64 (sqrt.f64 (.f64 -1/16 (sin.f64 y))) (.f64 (sqrt.f64 2) (sqrt.f64 (.f64 -1/16 (sin.f64 y)))))
(.f64 (cbrt.f64 (.f64 (sqrt.f64 2) (.f64 -1/16 (sin.f64 y)))) (cbrt.f64 (.f64 (pow.f64 (sin.f64 y) 2) 1/128)))
(.f64 (cbrt.f64 (.f64 (pow.f64 (sin.f64 y) 2) 1/128)) (cbrt.f64 (.f64 (sqrt.f64 2) (.f64 -1/16 (sin.f64 y)))))
(.f64 (cbrt.f64 (sin.f64 y)) (.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (*.f64 (sqrt.f64 2) -1/16)))
(.f64 (cbrt.f64 (sqrt.f64 2)) (.f64 (*.f64 -1/16 (sin.f64 y)) (cbrt.f64 2)))
(.f64 (cbrt.f64 2) (.f64 (*.f64 -1/16 (sin.f64 y)) (cbrt.f64 (sqrt.f64 2))))
(.f64 (cbrt.f64 (.f64 -1/16 (sin.f64 y))) (.f64 (sqrt.f64 2) (pow.f64 (cbrt.f64 (.f64 -1/16 (sin.f64 y))) 2)))
(.f64 (pow.f64 (cbrt.f64 (.f64 -1/16 (sin.f64 y))) 2) (.f64 (sqrt.f64 2) (cbrt.f64 (.f64 -1/16 (sin.f64 y)))))
(.f64 (.f64 (sqrt.f64 2) -1/16) (sin.f64 y))
(.f64 (.f64 (sqrt.f64 2) (sqrt.f64 (.f64 -1/16 (sin.f64 y)))) (sqrt.f64 (.f64 -1/16 (sin.f64 y))))
(.f64 (.f64 (sqrt.f64 2) (pow.f64 (cbrt.f64 (.f64 -1/16 (sin.f64 y))) 2)) (cbrt.f64 (.f64 -1/16 (sin.f64 y))))
(.f64 (.f64 (*.f64 -1/16 (sin.f64 y)) (pow.f64 2 1/4)) (pow.f64 2 1/4))
(.f64 (.f64 (*.f64 -1/16 (sin.f64 y)) (cbrt.f64 2)) (cbrt.f64 (sqrt.f64 2)))
(.f64 (.f64 (sqrt.f64 (sin.f64 y)) (*.f64 (sqrt.f64 2) -1/16)) (sqrt.f64 (sin.f64 y)))
(.f64 (.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (*.f64 (sqrt.f64 2) -1/16)) (cbrt.f64 (sin.f64 y)))
(.f64 (.f64 (*.f64 -1/16 (sin.f64 y)) (cbrt.f64 (sqrt.f64 2))) (cbrt.f64 2))
(.f64 (.f64 (sqrt.f64 2) (sin.f64 y)) -1/16)
(.f64 (.f64 (sqrt.f64 2) (cbrt.f64 (.f64 -1/16 (sin.f64 y)))) (pow.f64 (cbrt.f64 (.f64 -1/16 (sin.f64 y))) 2))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (.f64 (sqrt.f64 2) (.f64 -1/16 (sin.f64 y))))) (cbrt.f64 (.f64 (sqrt.f64 2) (.f64 -1/16 (sin.f64 y))))) (.f64 (sqrt.f64 (cbrt.f64 (.f64 (sqrt.f64 2) (.f64 -1/16 (sin.f64 y))))) (cbrt.f64 (.f64 (sqrt.f64 2) (*.f64 -1/16 (sin.f64 y))))))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (.f64 (sqrt.f64 2) (.f64 -1/16 (sin.f64 y))))) (sqrt.f64 (cbrt.f64 (.f64 (pow.f64 (sin.f64 y) 2) 1/128)))) (.f64 (cbrt.f64 (sqrt.f64 (.f64 (sqrt.f64 2) (.f64 -1/16 (sin.f64 y))))) (sqrt.f64 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 y) 2) 1/128)))))
(.f64 (.f64 (cbrt.f64 (.f64 (sqrt.f64 2) (.f64 -1/16 (sin.f64 y)))) (sqrt.f64 (cbrt.f64 (.f64 (sqrt.f64 2) (.f64 -1/16 (sin.f64 y)))))) (.f64 (cbrt.f64 (.f64 (sqrt.f64 2) (.f64 -1/16 (sin.f64 y)))) (sqrt.f64 (cbrt.f64 (.f64 (sqrt.f64 2) (*.f64 -1/16 (sin.f64 y)))))))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (.f64 (pow.f64 (sin.f64 y) 2) 1/128))) (cbrt.f64 (sqrt.f64 (.f64 (sqrt.f64 2) (.f64 -1/16 (sin.f64 y)))))) (.f64 (sqrt.f64 (cbrt.f64 (.f64 (pow.f64 (sin.f64 y) 2) 1/128))) (cbrt.f64 (sqrt.f64 (.f64 (sqrt.f64 2) (*.f64 -1/16 (sin.f64 y)))))))
(.f64 (pow.f64 (cbrt.f64 (.f64 (sqrt.f64 2) (.f64 -1/16 (sin.f64 y)))) 3/2) (pow.f64 (cbrt.f64 (.f64 (sqrt.f64 2) (*.f64 -1/16 (sin.f64 y)))) 3/2))
(.f64 (pow.f64 (pow.f64 (.f64 (sqrt.f64 2) (.f64 -1/16 (sin.f64 y))) 3) 1/6) (pow.f64 (pow.f64 (.f64 (sqrt.f64 2) (*.f64 -1/16 (sin.f64 y))) 3) 1/6))
(pow.f64 (.f64 (sqrt.f64 2) (.f64 -1/16 (sin.f64 y))) 1)
(pow.f64 (sqrt.f64 (.f64 (sqrt.f64 2) (.f64 -1/16 (sin.f64 y)))) 2)
(pow.f64 (cbrt.f64 (.f64 (sqrt.f64 2) (.f64 -1/16 (sin.f64 y)))) 3)
(pow.f64 (pow.f64 (.f64 (sqrt.f64 2) (.f64 -1/16 (sin.f64 y))) 3) 1/3)
(sqrt.f64 (*.f64 (pow.f64 (sin.f64 y) 2) 1/128))
(cbrt.f64 (pow.f64 (.f64 (sqrt.f64 2) (.f64 -1/16 (sin.f64 y))) 3))
(cbrt.f64 (.f64 (.f64 2 (sqrt.f64 2)) (pow.f64 (*.f64 -1/16 (sin.f64 y)) 3)))
(expm1.f64 (log1p.f64 (.f64 (sqrt.f64 2) (.f64 -1/16 (sin.f64 y)))))
(exp.f64 (log.f64 (.f64 (sqrt.f64 2) (.f64 -1/16 (sin.f64 y)))))
(log1p.f64 (expm1.f64 (.f64 (sqrt.f64 2) (.f64 -1/16 (sin.f64 y)))))

Outputs
(.f64 -1/16 (.f64 (sqrt.f64 2) y))
(+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) y)) (.f64 1/2 (.f64 (pow.f64 y 2) (+.f64 (.f64 1/256 (pow.f64 (sqrt.f64 2) 2)) (.f64 -1/256 (pow.f64 (sqrt.f64 2) 2))))))
(.f64 -1/16 (.f64 (sqrt.f64 2) y))
(+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) y)) (+.f64 (.f64 1/2 (.f64 (pow.f64 y 2) (+.f64 (.f64 1/256 (pow.f64 (sqrt.f64 2) 2)) (.f64 -1/256 (pow.f64 (sqrt.f64 2) 2))))) (.f64 1/6 (.f64 (pow.f64 y 3) (+.f64 (.f64 3/4096 (pow.f64 (sqrt.f64 2) 3)) (+.f64 (.f64 6 (+.f64 (.f64 -1/24576 (pow.f64 (sqrt.f64 2) 3)) (.f64 1/96 (sqrt.f64 2)))) (*.f64 -1/2048 (pow.f64 (sqrt.f64 2) 3))))))))
(fma.f64 -1/16 (.f64 (sqrt.f64 2) y) (fma.f64 1/2 (.f64 (.f64 y y) (.f64 (pow.f64 (sqrt.f64 2) 2) 0)) (.f64 1/6 (.f64 (pow.f64 y 3) (fma.f64 3/4096 (pow.f64 (sqrt.f64 2) 3) (fma.f64 6 (fma.f64 -1/24576 (pow.f64 (sqrt.f64 2) 3) (.f64 (sqrt.f64 2) 1/96)) (.f64 (pow.f64 (sqrt.f64 2) 3) -1/2048)))))))
(fma.f64 -1/16 (.f64 (sqrt.f64 2) y) (fma.f64 1/6 (.f64 (pow.f64 y 3) (+.f64 (.f64 (sqrt.f64 2) 3/2048) (fma.f64 6 (fma.f64 (sqrt.f64 2) 1/96 (.f64 (sqrt.f64 2) -1/12288)) (.f64 (sqrt.f64 2) -1/1024)))) (.f64 (*.f64 y y) 0)))
(fma.f64 (fma.f64 6 (.f64 (sqrt.f64 2) 127/12288) (.f64 (sqrt.f64 2) 1/2048)) (.f64 1/6 (pow.f64 y 3)) (fma.f64 (sqrt.f64 2) (.f64 -1/16 y) 0))
(fma.f64 -1/16 (.f64 (sqrt.f64 2) y) (.f64 (+.f64 (.f64 (pow.f64 2 3/2) -1/4096) (.f64 (sqrt.f64 2) 129/2048)) (*.f64 1/6 (pow.f64 y 3))))
(+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) y)) (+.f64 (.f64 1/24 (.f64 (pow.f64 y 4) (+.f64 (.f64 3/16384 (pow.f64 (sqrt.f64 2) 4)) (+.f64 (.f64 -3/65536 (pow.f64 (sqrt.f64 2) 4)) (+.f64 (.f64 -3/32768 (pow.f64 (sqrt.f64 2) 4)) (+.f64 (.f64 24 (+.f64 (.f64 1/1572864 (pow.f64 (sqrt.f64 2) 4)) (.f64 -1/1536 (pow.f64 (sqrt.f64 2) 2)))) (.f64 3/2 (.f64 (sqrt.f64 2) (+.f64 (.f64 -1/24576 (pow.f64 (sqrt.f64 2) 3)) (.f64 1/96 (sqrt.f64 2))))))))))) (+.f64 (.f64 1/2 (.f64 (pow.f64 y 2) (+.f64 (.f64 1/256 (pow.f64 (sqrt.f64 2) 2)) (.f64 -1/256 (pow.f64 (sqrt.f64 2) 2))))) (.f64 1/6 (.f64 (pow.f64 y 3) (+.f64 (.f64 3/4096 (pow.f64 (sqrt.f64 2) 3)) (+.f64 (.f64 6 (+.f64 (.f64 -1/24576 (pow.f64 (sqrt.f64 2) 3)) (.f64 1/96 (sqrt.f64 2)))) (*.f64 -1/2048 (pow.f64 (sqrt.f64 2) 3)))))))))
(fma.f64 -1/16 (.f64 (sqrt.f64 2) y) (fma.f64 1/2 (.f64 (.f64 y y) (.f64 (pow.f64 (sqrt.f64 2) 2) 0)) (.f64 1/6 (.f64 (pow.f64 y 3) (fma.f64 3/4096 (pow.f64 (sqrt.f64 2) 3) (fma.f64 6 (fma.f64 -1/24576 (pow.f64 (sqrt.f64 2) 3) (.f64 (sqrt.f64 2) 1/96)) (.f64 (pow.f64 (sqrt.f64 2) 3) -1/2048)))))))
(fma.f64 -1/16 (.f64 (sqrt.f64 2) y) (fma.f64 1/6 (.f64 (pow.f64 y 3) (+.f64 (.f64 (sqrt.f64 2) 3/2048) (fma.f64 6 (fma.f64 (sqrt.f64 2) 1/96 (.f64 (sqrt.f64 2) -1/12288)) (.f64 (sqrt.f64 2) -1/1024)))) (.f64 (*.f64 y y) 0)))
(fma.f64 (fma.f64 6 (.f64 (sqrt.f64 2) 127/12288) (.f64 (sqrt.f64 2) 1/2048)) (.f64 1/6 (pow.f64 y 3)) (fma.f64 (sqrt.f64 2) (.f64 -1/16 y) 0))
(fma.f64 -1/16 (.f64 (sqrt.f64 2) y) (.f64 (+.f64 (.f64 (pow.f64 2 3/2) -1/4096) (.f64 (sqrt.f64 2) 129/2048)) (*.f64 1/6 (pow.f64 y 3))))
(.f64 -1/16 (.f64 (sqrt.f64 2) (sin.f64 y)))
(.f64 (sqrt.f64 2) (.f64 -1/16 (sin.f64 y)))
(.f64 (sin.f64 y) (.f64 -1/16 (sqrt.f64 2)))
(.f64 -1/16 (.f64 (sqrt.f64 2) (sin.f64 y)))
(.f64 (sqrt.f64 2) (.f64 -1/16 (sin.f64 y)))
(.f64 (sin.f64 y) (.f64 -1/16 (sqrt.f64 2)))
(.f64 -1/16 (.f64 (sqrt.f64 2) (sin.f64 y)))
(.f64 (sqrt.f64 2) (.f64 -1/16 (sin.f64 y)))
(.f64 (sin.f64 y) (.f64 -1/16 (sqrt.f64 2)))
(.f64 -1/16 (.f64 (sqrt.f64 2) (sin.f64 y)))
(.f64 (sqrt.f64 2) (.f64 -1/16 (sin.f64 y)))
(.f64 (sin.f64 y) (.f64 -1/16 (sqrt.f64 2)))
(.f64 -1/16 (.f64 (sqrt.f64 2) (sin.f64 y)))
(.f64 (sqrt.f64 2) (.f64 -1/16 (sin.f64 y)))
(.f64 (sin.f64 y) (.f64 -1/16 (sqrt.f64 2)))
(.f64 -1/16 (.f64 (sqrt.f64 2) (sin.f64 y)))
(.f64 (sqrt.f64 2) (.f64 -1/16 (sin.f64 y)))
(.f64 (sin.f64 y) (.f64 -1/16 (sqrt.f64 2)))
(.f64 -1/16 (.f64 (sqrt.f64 2) (sin.f64 y)))
(.f64 (sqrt.f64 2) (.f64 -1/16 (sin.f64 y)))
(.f64 (sin.f64 y) (.f64 -1/16 (sqrt.f64 2)))
(.f64 -1/16 (.f64 (sqrt.f64 2) (sin.f64 y)))
(.f64 (sqrt.f64 2) (.f64 -1/16 (sin.f64 y)))
(.f64 (sin.f64 y) (.f64 -1/16 (sqrt.f64 2)))
(+.f64 (.f64 (sqrt.f64 2) (.f64 -1/16 (sin.f64 y))) 0)
(.f64 (sqrt.f64 2) (.f64 -1/16 (sin.f64 y)))
(.f64 (sin.f64 y) (.f64 -1/16 (sqrt.f64 2)))
(+.f64 0 (.f64 (sqrt.f64 2) (.f64 -1/16 (sin.f64 y))))
(.f64 (sqrt.f64 2) (.f64 -1/16 (sin.f64 y)))
(.f64 (sin.f64 y) (.f64 -1/16 (sqrt.f64 2)))
(+.f64 (log.f64 (cbrt.f64 (exp.f64 (.f64 (.f64 (sqrt.f64 2) (sin.f64 y)) -1/8)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 2)) (*.f64 -1/16 (sin.f64 y))))))
(+.f64 (log.f64 (cbrt.f64 (exp.f64 (.f64 (sqrt.f64 2) (.f64 (sin.f64 y) -1/8))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 2)) (*.f64 -1/16 (sin.f64 y))))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 2)) (.f64 (sin.f64 y) -1/8)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 2)) (.f64 -1/16 (sin.f64 y))))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 -1/8) (sin.f64 y)) (sqrt.f64 2)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 2)) (*.f64 -1/16 (sin.f64 y))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 2)) (.f64 -1/16 (sin.f64 y))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 2)) (.f64 -1/16 (sin.f64 y))))))
(.f64 2 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 2)) (.f64 -1/16 (sin.f64 y))))))
(.f64 2 (log.f64 (pow.f64 (exp.f64 (sqrt.f64 2)) (.f64 -1/32 (sin.f64 y)))))
(.f64 2 (.f64 (*.f64 -1/32 (sin.f64 y)) (log.f64 (exp.f64 (sqrt.f64 2)))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 2)) (.f64 -1/16 (sin.f64 y))))) (log.f64 (cbrt.f64 (exp.f64 (.f64 (*.f64 (sqrt.f64 2) (sin.f64 y)) -1/8)))))
(+.f64 (log.f64 (cbrt.f64 (exp.f64 (.f64 (sqrt.f64 2) (.f64 (sin.f64 y) -1/8))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 2)) (*.f64 -1/16 (sin.f64 y))))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 2)) (.f64 (sin.f64 y) -1/8)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 2)) (.f64 -1/16 (sin.f64 y))))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 -1/8) (sin.f64 y)) (sqrt.f64 2)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 2)) (*.f64 -1/16 (sin.f64 y))))))
(+.f64 (+.f64 0 (log.f64 (cbrt.f64 (exp.f64 (.f64 (.f64 (sqrt.f64 2) (sin.f64 y)) -1/8))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 2)) (*.f64 -1/16 (sin.f64 y))))))
(+.f64 (log.f64 (cbrt.f64 (exp.f64 (.f64 (sqrt.f64 2) (.f64 (sin.f64 y) -1/8))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 2)) (*.f64 -1/16 (sin.f64 y))))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 2)) (.f64 (sin.f64 y) -1/8)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 2)) (.f64 -1/16 (sin.f64 y))))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 -1/8) (sin.f64 y)) (sqrt.f64 2)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 2)) (*.f64 -1/16 (sin.f64 y))))))
(+.f64 (+.f64 0 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 2)) (.f64 -1/16 (sin.f64 y)))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 2)) (.f64 -1/16 (sin.f64 y))))))
(.f64 2 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 2)) (.f64 -1/16 (sin.f64 y))))))
(.f64 2 (log.f64 (pow.f64 (exp.f64 (sqrt.f64 2)) (.f64 -1/32 (sin.f64 y)))))
(.f64 2 (.f64 (*.f64 -1/32 (sin.f64 y)) (log.f64 (exp.f64 (sqrt.f64 2)))))
(+.f64 (.f64 1 (log.f64 (cbrt.f64 (exp.f64 (.f64 (.f64 (sqrt.f64 2) (sin.f64 y)) -1/8))))) (.f64 1 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 2)) (*.f64 -1/16 (sin.f64 y)))))))
(+.f64 (log.f64 (cbrt.f64 (exp.f64 (.f64 (sqrt.f64 2) (.f64 (sin.f64 y) -1/8))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 2)) (*.f64 -1/16 (sin.f64 y))))))
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(.f64 (sqrt.f64 2) (.f64 -1/16 (sin.f64 y)))
(.f64 (sin.f64 y) (.f64 -1/16 (sqrt.f64 2)))
(pow.f64 (.f64 (sqrt.f64 2) (.f64 -1/16 (sin.f64 y))) 1)
(.f64 (sqrt.f64 2) (.f64 -1/16 (sin.f64 y)))
(.f64 (sin.f64 y) (.f64 -1/16 (sqrt.f64 2)))
(pow.f64 (sqrt.f64 (.f64 (sqrt.f64 2) (.f64 -1/16 (sin.f64 y)))) 2)
(.f64 (sqrt.f64 2) (.f64 -1/16 (sin.f64 y)))
(.f64 (sin.f64 y) (.f64 -1/16 (sqrt.f64 2)))
(pow.f64 (cbrt.f64 (.f64 (sqrt.f64 2) (.f64 -1/16 (sin.f64 y)))) 3)
(.f64 (sqrt.f64 2) (.f64 -1/16 (sin.f64 y)))
(.f64 (sin.f64 y) (.f64 -1/16 (sqrt.f64 2)))
(pow.f64 (pow.f64 (.f64 (sqrt.f64 2) (.f64 -1/16 (sin.f64 y))) 3) 1/3)
(.f64 (sqrt.f64 2) (.f64 -1/16 (sin.f64 y)))
(.f64 (sin.f64 y) (.f64 -1/16 (sqrt.f64 2)))
(sqrt.f64 (*.f64 (pow.f64 (sin.f64 y) 2) 1/128))
(sqrt.f64 (*.f64 1/128 (pow.f64 (sin.f64 y) 2)))
(cbrt.f64 (pow.f64 (.f64 (sqrt.f64 2) (.f64 -1/16 (sin.f64 y))) 3))
(.f64 (sqrt.f64 2) (.f64 -1/16 (sin.f64 y)))
(.f64 (sin.f64 y) (.f64 -1/16 (sqrt.f64 2)))
(cbrt.f64 (.f64 (.f64 2 (sqrt.f64 2)) (pow.f64 (*.f64 -1/16 (sin.f64 y)) 3)))
(.f64 (sqrt.f64 2) (.f64 -1/16 (sin.f64 y)))
(.f64 (sin.f64 y) (.f64 -1/16 (sqrt.f64 2)))
(expm1.f64 (log1p.f64 (.f64 (sqrt.f64 2) (.f64 -1/16 (sin.f64 y)))))
(.f64 (sqrt.f64 2) (.f64 -1/16 (sin.f64 y)))
(.f64 (sin.f64 y) (.f64 -1/16 (sqrt.f64 2)))
(exp.f64 (log.f64 (.f64 (sqrt.f64 2) (.f64 -1/16 (sin.f64 y)))))
(.f64 (sqrt.f64 2) (.f64 -1/16 (sin.f64 y)))
(.f64 (sin.f64 y) (.f64 -1/16 (sqrt.f64 2)))
(log1p.f64 (expm1.f64 (.f64 (sqrt.f64 2) (.f64 -1/16 (sin.f64 y)))))
(.f64 (sqrt.f64 2) (.f64 -1/16 (sin.f64 y)))
(.f64 (sin.f64 y) (.f64 -1/16 (sqrt.f64 2)))

eval1.6s (5.4%)

Compiler: Compiled 65475 to 48816 computations (25.4% saved)

prune567.0ms (1.9%)

Pruning

83 alts after pruning (78 fresh and 5 done)

	Pruned	Kept	Total
New	1188	38	1226
Fresh	20	40	60
Picked	1	0	1
Done	3	5	8
Total	1212	83	1295

Error

0.0b

Counts

1295 → 83

Alt Table

Click to see full alt table

Status	Error	Program
	39.2b	(pow.f64 (cbrt.f64 (.f64 (fma.f64 (sqrt.f64 1/128) (.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1)) 2) 1/6)) 3)
	0.4b	(/.f64 (fma.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16)) (.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)) (-.f64 (cos.f64 x) (cos.f64 y)))) 2) (+.f64 (*.f64 (/.f64 (cos.f64 x) (-.f64 -1 (sqrt.f64 5))) -6) (fma.f64 (cos.f64 y) (/.f64 (-.f64 3 (sqrt.f64 5)) 2/3) 3)))
	0.4b	(/.f64 (fma.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16)) (.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)) (-.f64 (cos.f64 x) (cos.f64 y)))) 2) (+.f64 (.f64 (+.f64 (sqrt.f64 5) -1) (.f64 (cos.f64 x) 3/2)) (fma.f64 (cos.f64 y) (/.f64 (-.f64 3 (sqrt.f64 5)) 2/3) 3)))
✓	0.5b	(/.f64 (fma.f64 (sqrt.f64 2) (.f64 (+.f64 (sin.f64 y) (.f64 -1/16 (sin.f64 x))) (.f64 (+.f64 (sin.f64 x) (.f64 -1/16 (sin.f64 y))) (-.f64 (cos.f64 x) (cos.f64 y)))) 2) (fma.f64 (cos.f64 x) (/.f64 (+.f64 (sqrt.f64 5) -1) 2/3) (fma.f64 (cos.f64 y) (*.f64 3/2 (-.f64 3 (sqrt.f64 5))) 3)))
	0.6b	(/.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) (expm1.f64 (log1p.f64 (.f64 (+.f64 (sqrt.f64 5) -1) 3/2))) (fma.f64 (cos.f64 y) (.f64 3/2 (-.f64 3 (sqrt.f64 5))) 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 3/2 (.f64 (-.f64 3 (sqrt.f64 5)) (cos.f64 y))) (.f64 3/2 (*.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))))))
	39.0b	(/.f64 (+.f64 2 (.f64 (-.f64 1/2 (/.f64 (cos.f64 (+.f64 x x)) 2)) (.f64 (sqrt.f64 1/128) (+.f64 (cos.f64 x) -1)))) (+.f64 3 (*.f64 3/2 2)))
✓	0.5b	(/.f64 (+.f64 2 (.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 (sqrt.f64 2) (+.f64 (sin.f64 x) (.f64 (sin.f64 y) -1/16)))) 3) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (*.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
	0.5b	(/.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 1 (pow.f64 5 1/4)) (/.f64 (/.f64 2 (cos.f64 x)) (-.f64 (pow.f64 5 1/4) 1)))) (*.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
	1.2b	(/.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 (cos.f64 x) (pow.f64 (cbrt.f64 (+.f64 (.f64 (sqrt.f64 5) 1/2) -1/2)) 2)) (cbrt.f64 (-.f64 1 (sqrt.f64 5)))) (cbrt.f64 -2))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
	0.4b	(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (/.f64 4 (+.f64 (sqrt.f64 5) 3)) 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 (cos.f64 x) (/.f64 -2 (-.f64 -1 (sqrt.f64 5))))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
	25.0b	(/.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 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)))))
	30.6b	(/.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) (-.f64 (.f64 1/2 (.f64 y y)) 1)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
	33.2b	(/.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 (-.f64 (.f64 -1/2 (.f64 x x)) (cos.f64 y))))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
	22.0b	(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (sin.f64 x)) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
	26.8b	(/.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 (/.f64 (cos.f64 y) (+.f64 (sqrt.f64 5/4) 3/2)) (*.f64 1/2 (sqrt.f64 5))) 1/2))))
	0.8b	(/.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 (pow.f64 (cbrt.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) -1/2))) 3) (.f64 (cos.f64 y) (/.f64 1 (+.f64 3/2 (sqrt.f64 5/4))))))))
	0.4b	(/.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 y) (+.f64 (sqrt.f64 5/4) 3/2)) (.f64 (cos.f64 x) (-.f64 (.f64 1/2 (sqrt.f64 5)) 1/2))))))
▶	0.4b	(/.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 (sqrt.f64 5/4) 1/2)) (*.f64 (cos.f64 y) (/.f64 1 (+.f64 3/2 (sqrt.f64 5/4))))))))
	0.5b	(/.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 (sqrt.f64 5/4)))))))
	22.8b	(/.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) 1)))) (.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)))))))
	25.0b	(/.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 1 (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 1 (+.f64 3/2 (sqrt.f64 5/4))))))))
	27.0b	(/.f64 (+.f64 2 (.f64 (.f64 (sqrt.f64 2) (.f64 -1/16 (sin.f64 y))) (.f64 (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16)) (-.f64 (cos.f64 x) (cos.f64 y))))) (.f64 3 (+.f64 1 (-.f64 (+.f64 (.f64 1/2 (sqrt.f64 5)) (.f64 (-.f64 3/2 (.f64 1/2 (sqrt.f64 5))) (cos.f64 y))) 1/2))))
	37.3b	(/.f64 (+.f64 2 (.f64 (.f64 (sqrt.f64 2) (.f64 -1/16 (sin.f64 y))) (.f64 (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16)) (-.f64 (cos.f64 x) (cos.f64 y))))) (.f64 3 (+.f64 1 (-.f64 (+.f64 3/2 (.f64 (cos.f64 x) (-.f64 (.f64 1/2 (sqrt.f64 5)) 1/2))) (.f64 1/2 (sqrt.f64 5))))))
	35.8b	(/.f64 (+.f64 2 (.f64 (.f64 (sqrt.f64 2) (.f64 -1/16 (sin.f64 y))) (.f64 (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16)) (-.f64 (cos.f64 x) 1)))) (.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)))))))
	25.1b	(/.f64 (+.f64 2 (.f64 (.f64 (sqrt.f64 2) (.f64 -1/16 (sin.f64 y))) (.f64 (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16)) (-.f64 1 (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)))))))
	22.0b	(/.f64 (+.f64 2 (.f64 (.f64 (sqrt.f64 2) (sin.f64 x)) (.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 1 (+.f64 3/2 (sqrt.f64 5/4))))))))
	38.9b	(/.f64 (+.f64 2 (.f64 (.f64 -1/16 (sqrt.f64 2)) (.f64 (pow.f64 (cbrt.f64 (+.f64 (cos.f64 x) -1)) 3) (pow.f64 (sin.f64 x) 2)))) (+.f64 3 (.f64 3/2 2)))
	24.4b	(/.f64 (+.f64 2 (.f64 (.f64 -1/16 (sqrt.f64 2)) (.f64 (+.f64 (cos.f64 x) -1) (pow.f64 (sin.f64 x) 2)))) (+.f64 3 (.f64 3/2 (-.f64 (+.f64 3 (*.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))) (sqrt.f64 5)))))
	24.4b	(/.f64 (+.f64 2 (.f64 (.f64 -1/16 (sqrt.f64 2)) (.f64 (+.f64 (cos.f64 x) -1) (pow.f64 (sin.f64 x) 2)))) (+.f64 3 (.f64 3/2 (-.f64 3 (-.f64 (sqrt.f64 5) (*.f64 (cos.f64 x) (+.f64 -1 (sqrt.f64 5))))))))
	24.6b	(/.f64 (+.f64 2 (.f64 (.f64 -1/16 (sqrt.f64 2)) (.f64 (+.f64 (cos.f64 x) -1) (pow.f64 (sin.f64 x) 2)))) (+.f64 3 (.f64 3/2 (+.f64 (-.f64 3 (sqrt.f64 5)) (pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1))) 3)))))
	24.6b	(/.f64 (+.f64 2 (.f64 (.f64 -1/16 (sqrt.f64 2)) (.f64 (+.f64 (cos.f64 x) -1) (pow.f64 (sin.f64 x) 2)))) (+.f64 3 (.f64 3/2 (+.f64 (-.f64 3 (sqrt.f64 5)) (/.f64 (*.f64 (cos.f64 x) (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 5) -1)) 2)) (/.f64 (cbrt.f64 (+.f64 (sqrt.f64 5) 1)) (cbrt.f64 4)))))))
	24.4b	(/.f64 (+.f64 2 (.f64 (.f64 -1/16 (sqrt.f64 2)) (.f64 (+.f64 (cos.f64 x) -1) (pow.f64 (sin.f64 x) 2)))) (+.f64 3 (.f64 3/2 (+.f64 (-.f64 3 (sqrt.f64 5)) (/.f64 (*.f64 (cos.f64 x) 4) (+.f64 (sqrt.f64 5) 1))))))
	24.4b	(/.f64 (+.f64 2 (.f64 (.f64 -1/16 (sqrt.f64 2)) (.f64 (+.f64 (cos.f64 x) -1) (pow.f64 (sin.f64 x) 2)))) (+.f64 3 (.f64 3/2 (+.f64 (-.f64 3 (sqrt.f64 5)) (/.f64 (cos.f64 x) (/.f64 1 (+.f64 (sqrt.f64 5) -1)))))))
	24.4b	(/.f64 (+.f64 2 (.f64 (.f64 -1/16 (sqrt.f64 2)) (.f64 (+.f64 (cos.f64 x) -1) (pow.f64 (sin.f64 x) 2)))) (+.f64 3 (.f64 3/2 (+.f64 (-.f64 3 (sqrt.f64 5)) (+.f64 (*.f64 (cos.f64 x) (sqrt.f64 5)) (neg.f64 (cos.f64 x)))))))
✓	24.4b	(/.f64 (+.f64 2 (.f64 (.f64 -1/16 (sqrt.f64 2)) (.f64 (+.f64 (cos.f64 x) -1) (pow.f64 (sin.f64 x) 2)))) (+.f64 3 (.f64 3/2 (+.f64 (-.f64 3 (sqrt.f64 5)) (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1))))))
	31.8b	(/.f64 (+.f64 2 (.f64 (.f64 -1/16 (sqrt.f64 2)) (.f64 (+.f64 (cos.f64 x) -1) (pow.f64 (sin.f64 x) 2)))) (+.f64 3 (.f64 3/2 (+.f64 (-.f64 3 (sqrt.f64 5)) (fabs.f64 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)))))))
	45.0b	(/.f64 (+.f64 2 (.f64 (.f64 -1/16 (sqrt.f64 2)) (.f64 (+.f64 (cos.f64 x) -1) (pow.f64 (sin.f64 x) 2)))) (+.f64 3 (.f64 3/2 (+.f64 2 (.f64 -1/2 (.f64 (*.f64 x x) (+.f64 (sqrt.f64 5) -1)))))))
	28.9b	(/.f64 (+.f64 2 (.f64 (.f64 -1/16 (sqrt.f64 2)) (.f64 (+.f64 (cos.f64 x) -1) (pow.f64 (sin.f64 x) 2)))) (+.f64 3 (.f64 3/2 (fabs.f64 (-.f64 (fma.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1) 3) (sqrt.f64 5))))))
	24.6b	(/.f64 (+.f64 2 (.f64 (.f64 -1/16 (sqrt.f64 2)) (.f64 (+.f64 (cos.f64 x) -1) (pow.f64 (sin.f64 x) 2)))) (+.f64 3 (.f64 3/2 (expm1.f64 (log1p.f64 (fma.f64 (cos.f64 x) (+.f64 -1 (sqrt.f64 5)) (-.f64 3 (sqrt.f64 5))))))))
	38.9b	(/.f64 (+.f64 2 (.f64 (.f64 -1/16 (sqrt.f64 2)) (.f64 (+.f64 (cos.f64 x) -1) (-.f64 1/2 (/.f64 (cos.f64 (+.f64 x x)) 2))))) (+.f64 3 (.f64 3/2 2)))
	45.5b	(/.f64 (+.f64 2 (.f64 (.f64 -1/16 (sqrt.f64 2)) (.f64 (+.f64 (cos.f64 x) -1) (+.f64 (.f64 -1/3 (pow.f64 x 4)) (+.f64 (.f64 2/45 (pow.f64 x 6)) (pow.f64 x 2)))))) (+.f64 3 (.f64 3/2 2)))
	44.9b	(/.f64 (+.f64 2 (.f64 (.f64 -1/16 (sqrt.f64 2)) (.f64 (.f64 -1/2 (.f64 x x)) (pow.f64 (sin.f64 x) 2)))) (+.f64 3 (.f64 3/2 (+.f64 (-.f64 3 (sqrt.f64 5)) (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1))))))
	38.9b	(/.f64 (+.f64 2 (.f64 (.f64 -1/16 (sqrt.f64 2)) (.f64 (log1p.f64 (expm1.f64 (+.f64 (cos.f64 x) -1))) (pow.f64 (sin.f64 x) 2)))) (+.f64 3 (.f64 3/2 2)))
	37.5b	(/.f64 (+.f64 2 (.f64 (.f64 -1/16 (sqrt.f64 2)) (.f64 (fabs.f64 (+.f64 (cos.f64 x) -1)) (pow.f64 (sin.f64 x) 2)))) (+.f64 3 (.f64 3/2 (+.f64 (-.f64 3 (sqrt.f64 5)) (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1))))))
	45.4b	(/.f64 (+.f64 2 (.f64 (sqrt.f64 2) (.f64 (pow.f64 x 4) 1/32))) (+.f64 3 (*.f64 3/2 2)))
▶	27.0b	(/.f64 (+.f64 2 (.f64 (log.f64 (+.f64 1 (expm1.f64 (.f64 (sqrt.f64 2) (.f64 -1/16 (sin.f64 y)))))) (.f64 (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16)) (-.f64 (cos.f64 x) (cos.f64 y))))) (.f64 3 (+.f64 1 (-.f64 (+.f64 (.f64 1/2 (sqrt.f64 5)) (.f64 (-.f64 3/2 (.f64 1/2 (sqrt.f64 5))) (cos.f64 y))) 1/2))))
	27.0b	(/.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 3/2 (.f64 (-.f64 3 (sqrt.f64 5)) (cos.f64 y))))))
	24.4b	(/.f64 (.f64 1/3 (fma.f64 (.f64 (*.f64 (sqrt.f64 2) -1/16) (+.f64 -1 (cos.f64 x))) (pow.f64 (sin.f64 x) 2) 2)) (fma.f64 -1/2 (sqrt.f64 5) (fma.f64 (fma.f64 1/2 (sqrt.f64 5) -1/2) (cos.f64 x) 5/2)))
	22.8b	(/.f64 (.f64 1/3 (+.f64 2 (.f64 (sqrt.f64 2) (.f64 (+.f64 (sin.f64 x) (.f64 (sin.f64 y) -1/16)) (.f64 (+.f64 (cos.f64 x) -1) (+.f64 (sin.f64 y) (.f64 (sin.f64 x) -1/16))))))) (+.f64 1 (fma.f64 (+.f64 3/2 (.f64 (sqrt.f64 5) -1/2)) (cos.f64 y) (.f64 (cos.f64 x) (fma.f64 1/2 (sqrt.f64 5) -1/2)))))
	37.8b	(/.f64 2/3 (fma.f64 (fma.f64 -1/2 (sqrt.f64 5) 3/2) (cos.f64 y) (fma.f64 1/2 (sqrt.f64 5) 1/2)))
	37.8b	(/.f64 2/3 (+.f64 1/2 (fma.f64 (fma.f64 -1/2 (sqrt.f64 5) 3/2) (cos.f64 y) (*.f64 1/2 (sqrt.f64 5)))))
	37.8b	(/.f64 2/3 (+.f64 1/2 (+.f64 (.f64 1/2 (sqrt.f64 5)) (.f64 (-.f64 3/2 (*.f64 1/2 (sqrt.f64 5))) (cos.f64 y)))))
	27.0b	(/.f64 1/3 (/.f64 (fma.f64 (cos.f64 y) (fma.f64 (sqrt.f64 5) -1/2 3/2) (fma.f64 1/2 (sqrt.f64 5) 1/2)) (fma.f64 -1/16 (.f64 (pow.f64 (sin.f64 y) 2) (.f64 (sqrt.f64 2) (-.f64 1 (cos.f64 y)))) 2)))
	39.2b	(-.f64 (exp.f64 (log1p.f64 (.f64 (fma.f64 (sqrt.f64 1/128) (.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1)) 2) 1/6))) 1)
▶	45.4b	(+.f64 (.f64 1/192 (.f64 (sqrt.f64 2) (pow.f64 x 4))) 1/3)
	38.9b	(+.f64 1/3 (.f64 (.f64 (sqrt.f64 2) (*.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1))) -1/96))
	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 1/3 (fma.f64 (cos.f64 y) (+.f64 3/2 (.f64 (sqrt.f64 5) -1/2)) (fma.f64 (cos.f64 x) (+.f64 (*.f64 (sqrt.f64 5) 1/2) -1/2) 1))))
	27.0b	(.f64 (/.f64 1/3 (fma.f64 -1/2 (sqrt.f64 5) (fma.f64 (fma.f64 1/2 (sqrt.f64 5) -1/2) (cos.f64 x) 5/2))) (+.f64 (fma.f64 (.f64 (.f64 (sqrt.f64 2) -1/16) (+.f64 -1 (cos.f64 x))) (pow.f64 (sin.f64 x) 2) 2) (.f64 y (.f64 (.f64 (sin.f64 x) (*.f64 (+.f64 -1 (cos.f64 x)) 257/256)) (sqrt.f64 2)))))
	39.0b	(.f64 (-.f64 -2 (.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (sqrt.f64 1/128) (+.f64 (cos.f64 x) -1)))) -1/6)
	27.1b	(.f64 1/3 (/.f64 (fma.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2))) 2) (+.f64 1/2 (fma.f64 (cos.f64 y) (fma.f64 (sqrt.f64 5) -1/2 3/2) (.f64 1/2 (sqrt.f64 5))))))
▶	27.1b	(.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 1/2 (+.f64 (.f64 1/2 (sqrt.f64 5)) (.f64 (-.f64 3/2 (*.f64 1/2 (sqrt.f64 5))) (cos.f64 y))))))
	0.5b	(.f64 1/3 (/.f64 (+.f64 2 (.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))))))) (+.f64 1 (+.f64 (.f64 (/.f64 1 (+.f64 3/2 (.f64 1/2 (sqrt.f64 5)))) (cos.f64 y)) (.f64 (cos.f64 x) (-.f64 (.f64 1/2 (sqrt.f64 5)) 1/2))))))
✓	0.5b	(.f64 1/3 (/.f64 (+.f64 2 (.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))))))) (+.f64 1 (+.f64 (.f64 (-.f64 3/2 (.f64 1/2 (sqrt.f64 5))) (cos.f64 y)) (.f64 (cos.f64 x) (-.f64 (.f64 1/2 (sqrt.f64 5)) 1/2))))))
	37.8b	(.f64 1/3 (/.f64 (+.f64 2 (.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))) (.f64 (-.f64 (cos.f64 x) 1) (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x))))))) (+.f64 1 (-.f64 (+.f64 (.f64 1/2 (sqrt.f64 5)) (.f64 (-.f64 3/2 (*.f64 1/2 (sqrt.f64 5))) (cos.f64 y))) 1/2))))
	24.2b	(.f64 1/3 (/.f64 (+.f64 2 (.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))) (.f64 (-.f64 (cos.f64 x) 1) (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x))))))) (+.f64 1 (-.f64 (+.f64 3/2 (.f64 (cos.f64 x) (-.f64 (.f64 1/2 (sqrt.f64 5)) 1/2))) (*.f64 1/2 (sqrt.f64 5))))))
✓	22.8b	(.f64 1/3 (/.f64 (+.f64 2 (.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))) (.f64 (-.f64 (cos.f64 x) 1) (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x))))))) (+.f64 1 (+.f64 (.f64 (-.f64 3/2 (.f64 1/2 (sqrt.f64 5))) (cos.f64 y)) (.f64 (cos.f64 x) (-.f64 (.f64 1/2 (sqrt.f64 5)) 1/2))))))
▶	44.6b	(.f64 1/3 (/.f64 (+.f64 2 (.f64 (sqrt.f64 2) (.f64 (.f64 (pow.f64 (sin.f64 x) 2) (fma.f64 1/24 (pow.f64 x 4) (.f64 -1/2 (.f64 x x)))) -1/16))) (+.f64 1 (+.f64 (.f64 (-.f64 3/2 (.f64 1/2 (sqrt.f64 5))) (cos.f64 y)) (.f64 (cos.f64 x) (-.f64 (.f64 1/2 (sqrt.f64 5)) 1/2))))))
	37.7b	(.f64 1/3 (/.f64 (+.f64 2 (.f64 (sqrt.f64 2) (.f64 (.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1)) -1/16))) (+.f64 1 (-.f64 (+.f64 (.f64 1/2 (sqrt.f64 5)) (.f64 (-.f64 3/2 (*.f64 1/2 (sqrt.f64 5))) (cos.f64 y))) 1/2))))
	24.4b	(.f64 1/3 (/.f64 (+.f64 2 (.f64 (sqrt.f64 2) (.f64 (.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1)) -1/16))) (+.f64 1 (-.f64 (+.f64 3/2 (.f64 (cos.f64 x) (-.f64 (.f64 1/2 (sqrt.f64 5)) 1/2))) (*.f64 1/2 (sqrt.f64 5))))))
	22.9b	(.f64 1/3 (/.f64 (+.f64 2 (.f64 (sqrt.f64 2) (.f64 (.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1)) -1/16))) (+.f64 1 (+.f64 (.f64 (/.f64 1 (+.f64 3/2 (.f64 1/2 (sqrt.f64 5)))) (cos.f64 y)) (.f64 (cos.f64 x) (-.f64 (.f64 1/2 (sqrt.f64 5)) 1/2))))))
	23.2b	(.f64 1/3 (/.f64 (+.f64 2 (.f64 (sqrt.f64 2) (.f64 (.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1)) -1/16))) (+.f64 1 (+.f64 (.f64 (-.f64 3/2 (.f64 1/2 (sqrt.f64 5))) (cos.f64 y)) (pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) -1/2))) 3)))))
	22.9b	(.f64 1/3 (/.f64 (+.f64 2 (.f64 (sqrt.f64 2) (.f64 (.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1)) -1/16))) (+.f64 1 (+.f64 (.f64 (-.f64 3/2 (.f64 1/2 (sqrt.f64 5))) (cos.f64 y)) (/.f64 (cos.f64 x) (+.f64 1/2 (sqrt.f64 5/4)))))))
	22.9b	(.f64 1/3 (/.f64 (+.f64 2 (.f64 (sqrt.f64 2) (.f64 (.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1)) -1/16))) (+.f64 1 (+.f64 (.f64 (-.f64 3/2 (.f64 1/2 (sqrt.f64 5))) (cos.f64 y)) (*.f64 (cos.f64 x) (+.f64 -1/2 (sqrt.f64 5/4)))))))
	30.6b	(.f64 1/3 (/.f64 (+.f64 2 (.f64 (sqrt.f64 2) (.f64 (.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1)) -1/16))) (+.f64 1 (+.f64 (.f64 (-.f64 3/2 (.f64 1/2 (sqrt.f64 5))) (cos.f64 y)) (sqrt.f64 (pow.f64 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) -1/2)) 2))))))
	43.8b	(.f64 1/3 (/.f64 (+.f64 2 (.f64 (sqrt.f64 2) (.f64 (.f64 (pow.f64 (sin.f64 x) 2) (.f64 -1/2 (.f64 x x))) -1/16))) (+.f64 1 (+.f64 (.f64 (-.f64 3/2 (.f64 1/2 (sqrt.f64 5))) (cos.f64 y)) (.f64 (cos.f64 x) (-.f64 (.f64 1/2 (sqrt.f64 5)) 1/2))))))
	36.0b	(.f64 1/3 (/.f64 (+.f64 2 (.f64 (sqrt.f64 2) (.f64 (.f64 (pow.f64 (sin.f64 x) 2) (fabs.f64 (+.f64 (cos.f64 x) -1))) -1/16))) (+.f64 1 (+.f64 (.f64 (-.f64 3/2 (.f64 1/2 (sqrt.f64 5))) (cos.f64 y)) (.f64 (cos.f64 x) (-.f64 (.f64 1/2 (sqrt.f64 5)) 1/2))))))
	25.1b	(.f64 1/3 (/.f64 (+.f64 2 (.f64 -1/16 (.f64 (pow.f64 (sin.f64 y) 2) (.f64 (sqrt.f64 2) (-.f64 1 (cos.f64 y)))))) (+.f64 1 (+.f64 (.f64 (-.f64 3/2 (.f64 1/2 (sqrt.f64 5))) (cos.f64 y)) (.f64 (cos.f64 x) (-.f64 (.f64 1/2 (sqrt.f64 5)) 1/2))))))
	24.4b	(.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 (+.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 1/3 (/.f64 (+.f64 2 (log.f64 (exp.f64 (.f64 (sqrt.f64 2) (.f64 (+.f64 (sin.f64 x) (.f64 (sin.f64 y) -1/16)) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (+.f64 (sin.f64 y) (.f64 (sin.f64 x) -1/16)))))))) (+.f64 1 (+.f64 (.f64 (-.f64 3/2 (.f64 1/2 (sqrt.f64 5))) (cos.f64 y)) (.f64 (cos.f64 x) (-.f64 (.f64 1/2 (sqrt.f64 5)) 1/2))))))
	22.8b	(log.f64 (exp.f64 (.f64 1/3 (/.f64 (+.f64 2 (.f64 (sqrt.f64 2) (.f64 (+.f64 (sin.f64 x) (.f64 (sin.f64 y) -1/16)) (.f64 (+.f64 (cos.f64 x) -1) (+.f64 (sin.f64 y) (.f64 (sin.f64 x) -1/16)))))) (+.f64 1 (fma.f64 (+.f64 3/2 (.f64 (sqrt.f64 5) -1/2)) (cos.f64 y) (.f64 (cos.f64 x) (fma.f64 1/2 (sqrt.f64 5) -1/2))))))))
	38.9b	1/3

Compiler

Compiled 6509 to 5443 computations (16.4% saved)

localize92.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(+.f64 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) 1/2)) (*.f64 (cos.f64 y) (/.f64 1 (+.f64 3/2 (sqrt.f64 5/4)))))
	0.5b	(*.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)))
✓	0.6b	(/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) 1/2))
	1.4b	(-.f64 (cos.f64 x) (cos.f64 y))

Compiler

Compiled 258 to 164 computations (36.4% saved)

series3.0ms (0%)

Counts

2 → 28

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) 1/2))
0.0ms	x	@	-inf	(/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) 1/2))
0.0ms	x	@	inf	(/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) 1/2))
0.0ms	y	@	inf	(+.f64 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) 1/2)) (*.f64 (cos.f64 y) (/.f64 1 (+.f64 3/2 (sqrt.f64 5/4)))))
0.0ms	y	@	0	(+.f64 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) 1/2)) (*.f64 (cos.f64 y) (/.f64 1 (+.f64 3/2 (sqrt.f64 5/4)))))

rewrite94.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1630×	`associate-/r*`
1150×	`associate-/l*`
394×	`add-sqr-sqrt`
376×	`pow1`
376×	`*-un-lft-identity`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	68
1	393	64
2	5072	64

Stop Event

1×	node limit

Counts

2 → 99

Calls

Call 1

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

Outputs

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

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simplify95.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1446×	`associate-/r*`
1364×	`associate-*r/`
850×	`associate-*l/`
796×	`associate-/l/`
698×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	304	7761
1	773	7531
2	2984	7531

Stop Event

1×	node limit

Counts

127 → 172

Calls

Call 1

Inputs
(/.f64 1 (+.f64 (sqrt.f64 5/4) 1/2))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 x 2) (+.f64 (sqrt.f64 5/4) 1/2))) (/.f64 1 (+.f64 (sqrt.f64 5/4) 1/2)))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 x 2) (+.f64 (sqrt.f64 5/4) 1/2))) (+.f64 (/.f64 1 (+.f64 (sqrt.f64 5/4) 1/2)) (.f64 1/24 (/.f64 (pow.f64 x 4) (+.f64 (sqrt.f64 5/4) 1/2)))))
(+.f64 (.f64 -1/720 (/.f64 (pow.f64 x 6) (+.f64 (sqrt.f64 5/4) 1/2))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 x 2) (+.f64 (sqrt.f64 5/4) 1/2))) (+.f64 (/.f64 1 (+.f64 (sqrt.f64 5/4) 1/2)) (*.f64 1/24 (/.f64 (pow.f64 x 4) (+.f64 (sqrt.f64 5/4) 1/2))))))
(+.f64 (/.f64 (cos.f64 y) (+.f64 (sqrt.f64 5/4) 3/2)) (/.f64 1 (+.f64 (sqrt.f64 5/4) 1/2)))
(+.f64 (/.f64 (cos.f64 y) (+.f64 (sqrt.f64 5/4) 3/2)) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 x 2) (+.f64 (sqrt.f64 5/4) 1/2))) (/.f64 1 (+.f64 (sqrt.f64 5/4) 1/2))))
(+.f64 (/.f64 (cos.f64 y) (+.f64 (sqrt.f64 5/4) 3/2)) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 x 2) (+.f64 (sqrt.f64 5/4) 1/2))) (+.f64 (/.f64 1 (+.f64 (sqrt.f64 5/4) 1/2)) (.f64 1/24 (/.f64 (pow.f64 x 4) (+.f64 (sqrt.f64 5/4) 1/2))))))
(+.f64 (.f64 -1/720 (/.f64 (pow.f64 x 6) (+.f64 (sqrt.f64 5/4) 1/2))) (+.f64 (/.f64 (cos.f64 y) (+.f64 (sqrt.f64 5/4) 3/2)) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 x 2) (+.f64 (sqrt.f64 5/4) 1/2))) (+.f64 (/.f64 1 (+.f64 (sqrt.f64 5/4) 1/2)) (*.f64 1/24 (/.f64 (pow.f64 x 4) (+.f64 (sqrt.f64 5/4) 1/2)))))))
(+.f64 (/.f64 (cos.f64 y) (+.f64 (sqrt.f64 5/4) 3/2)) (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) 1/2)))
(+.f64 (/.f64 (cos.f64 y) (+.f64 (sqrt.f64 5/4) 3/2)) (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) 1/2)))
(+.f64 (/.f64 (cos.f64 y) (+.f64 (sqrt.f64 5/4) 3/2)) (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) 1/2)))
(+.f64 (/.f64 (cos.f64 y) (+.f64 (sqrt.f64 5/4) 3/2)) (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) 1/2)))
(+.f64 (/.f64 (cos.f64 y) (+.f64 (sqrt.f64 5/4) 3/2)) (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) 1/2)))
(+.f64 (/.f64 (cos.f64 y) (+.f64 (sqrt.f64 5/4) 3/2)) (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) 1/2)))
(+.f64 (/.f64 (cos.f64 y) (+.f64 (sqrt.f64 5/4) 3/2)) (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) 1/2)))
(+.f64 (/.f64 (cos.f64 y) (+.f64 (sqrt.f64 5/4) 3/2)) (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) 1/2)))
(+.f64 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) 1/2)) (/.f64 1 (+.f64 (sqrt.f64 5/4) 3/2)))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 y 2) (+.f64 (sqrt.f64 5/4) 3/2))) (+.f64 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) 1/2)) (/.f64 1 (+.f64 (sqrt.f64 5/4) 3/2))))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 y 2) (+.f64 (sqrt.f64 5/4) 3/2))) (+.f64 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) 1/2)) (+.f64 (.f64 1/24 (/.f64 (pow.f64 y 4) (+.f64 (sqrt.f64 5/4) 3/2))) (/.f64 1 (+.f64 (sqrt.f64 5/4) 3/2)))))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 y 2) (+.f64 (sqrt.f64 5/4) 3/2))) (+.f64 (.f64 -1/720 (/.f64 (pow.f64 y 6) (+.f64 (sqrt.f64 5/4) 3/2))) (+.f64 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) 1/2)) (+.f64 (*.f64 1/24 (/.f64 (pow.f64 y 4) (+.f64 (sqrt.f64 5/4) 3/2))) (/.f64 1 (+.f64 (sqrt.f64 5/4) 3/2))))))
(+.f64 (/.f64 (cos.f64 y) (+.f64 (sqrt.f64 5/4) 3/2)) (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) 1/2)))
(+.f64 (/.f64 (cos.f64 y) (+.f64 (sqrt.f64 5/4) 3/2)) (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) 1/2)))
(+.f64 (/.f64 (cos.f64 y) (+.f64 (sqrt.f64 5/4) 3/2)) (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) 1/2)))
(+.f64 (/.f64 (cos.f64 y) (+.f64 (sqrt.f64 5/4) 3/2)) (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) 1/2)))
(+.f64 (/.f64 (cos.f64 y) (+.f64 (sqrt.f64 5/4) 3/2)) (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) 1/2)))
(+.f64 (/.f64 (cos.f64 y) (+.f64 (sqrt.f64 5/4) 3/2)) (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) 1/2)))
(+.f64 (/.f64 (cos.f64 y) (+.f64 (sqrt.f64 5/4) 3/2)) (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) 1/2)))
(+.f64 (/.f64 (cos.f64 y) (+.f64 (sqrt.f64 5/4) 3/2)) (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) 1/2)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) -1/2)))) 1)
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(/.f64 (/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) -1/2)) 2) (pow.f64 (/.f64 (cos.f64 y) (+.f64 (sqrt.f64 5/4) 3/2)) 2)) (+.f64 (sqrt.f64 (/.f64 (cos.f64 y) (+.f64 (sqrt.f64 5/4) 3/2))) (sqrt.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) -1/2))))) (-.f64 (sqrt.f64 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) -1/2))) (sqrt.f64 (/.f64 (cos.f64 y) (+.f64 (sqrt.f64 5/4) 3/2)))))
(/.f64 (/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) -1/2)) 3) (pow.f64 (/.f64 (cos.f64 y) (+.f64 (sqrt.f64 5/4) 3/2)) 3)) 1) (+.f64 (pow.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) -1/2)) 2) (.f64 (/.f64 (cos.f64 y) (+.f64 (sqrt.f64 5/4) 3/2)) (-.f64 (/.f64 (cos.f64 y) (+.f64 (sqrt.f64 5/4) 3/2)) (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) -1/2))))))
(/.f64 (/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) -1/2)) 3) (pow.f64 (/.f64 (cos.f64 y) (+.f64 (sqrt.f64 5/4) 3/2)) 3)) (sqrt.f64 (+.f64 (pow.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) -1/2)) 2) (.f64 (/.f64 (cos.f64 y) (+.f64 (sqrt.f64 5/4) 3/2)) (-.f64 (/.f64 (cos.f64 y) (+.f64 (sqrt.f64 5/4) 3/2)) (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) -1/2))))))) (sqrt.f64 (+.f64 (pow.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) -1/2)) 2) (.f64 (/.f64 (cos.f64 y) (+.f64 (sqrt.f64 5/4) 3/2)) (-.f64 (/.f64 (cos.f64 y) (+.f64 (sqrt.f64 5/4) 3/2)) (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) -1/2)))))))
(/.f64 (/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) -1/2)) 3) (pow.f64 (/.f64 (cos.f64 y) (+.f64 (sqrt.f64 5/4) 3/2)) 3)) (.f64 (cbrt.f64 (+.f64 (pow.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) -1/2)) 2) (.f64 (/.f64 (cos.f64 y) (+.f64 (sqrt.f64 5/4) 3/2)) (-.f64 (/.f64 (cos.f64 y) (+.f64 (sqrt.f64 5/4) 3/2)) (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) -1/2)))))) (cbrt.f64 (+.f64 (pow.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) -1/2)) 2) (.f64 (/.f64 (cos.f64 y) (+.f64 (sqrt.f64 5/4) 3/2)) (-.f64 (/.f64 (cos.f64 y) (+.f64 (sqrt.f64 5/4) 3/2)) (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) -1/2)))))))) (cbrt.f64 (+.f64 (pow.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) -1/2)) 2) (.f64 (/.f64 (cos.f64 y) (+.f64 (sqrt.f64 5/4) 3/2)) (-.f64 (/.f64 (cos.f64 y) (+.f64 (sqrt.f64 5/4) 3/2)) (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) -1/2)))))))
(/.f64 (/.f64 (+.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) 3/2)) (.f64 (+.f64 (sqrt.f64 5/4) 1/2) (cos.f64 y))) (+.f64 (sqrt.f64 5/4) 1/2)) (+.f64 (sqrt.f64 5/4) 3/2))
(/.f64 (/.f64 (+.f64 (sqrt.f64 5/4) (+.f64 3/2 (*.f64 (/.f64 (+.f64 (sqrt.f64 5/4) 1/2) (cos.f64 x)) (cos.f64 y)))) (/.f64 (+.f64 (sqrt.f64 5/4) 1/2) (cos.f64 x))) (+.f64 (sqrt.f64 5/4) 3/2))
(/.f64 (/.f64 (+.f64 (.f64 (neg.f64 (cos.f64 x)) (+.f64 (sqrt.f64 5/4) 3/2)) (.f64 (-.f64 -1/2 (sqrt.f64 5/4)) (cos.f64 y))) (-.f64 -1/2 (sqrt.f64 5/4))) (+.f64 (sqrt.f64 5/4) 3/2))
(/.f64 (/.f64 (+.f64 (.f64 (cos.f64 y) (+.f64 (sqrt.f64 5/4) 1/2)) (.f64 (+.f64 (sqrt.f64 5/4) 3/2) (cos.f64 x))) (+.f64 (sqrt.f64 5/4) 3/2)) (+.f64 (sqrt.f64 5/4) 1/2))
(/.f64 (/.f64 (+.f64 (+.f64 (sqrt.f64 5/4) 3/2) (*.f64 (cos.f64 y) (/.f64 (+.f64 (sqrt.f64 5/4) 1/2) (cos.f64 x)))) (+.f64 (sqrt.f64 5/4) 3/2)) (/.f64 (+.f64 (sqrt.f64 5/4) 1/2) (cos.f64 x)))
(/.f64 (/.f64 (+.f64 (.f64 (cos.f64 y) (-.f64 -1/2 (sqrt.f64 5/4))) (.f64 (+.f64 (sqrt.f64 5/4) 3/2) (neg.f64 (cos.f64 x)))) (+.f64 (sqrt.f64 5/4) 3/2)) (-.f64 -1/2 (sqrt.f64 5/4)))
(pow.f64 (fma.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) -1/2) (/.f64 (cos.f64 y) (+.f64 (sqrt.f64 5/4) 3/2))) 1)
(pow.f64 (sqrt.f64 (fma.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) -1/2) (/.f64 (cos.f64 y) (+.f64 (sqrt.f64 5/4) 3/2)))) 2)
(pow.f64 (cbrt.f64 (fma.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) -1/2) (/.f64 (cos.f64 y) (+.f64 (sqrt.f64 5/4) 3/2)))) 3)
(pow.f64 (pow.f64 (fma.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) -1/2) (/.f64 (cos.f64 y) (+.f64 (sqrt.f64 5/4) 3/2))) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) -1/2) (/.f64 (cos.f64 y) (+.f64 (sqrt.f64 5/4) 3/2))) 2))
(log.f64 (exp.f64 (fma.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) -1/2) (/.f64 (cos.f64 y) (+.f64 (sqrt.f64 5/4) 3/2)))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) -1/2) (/.f64 (cos.f64 y) (+.f64 (sqrt.f64 5/4) 3/2))))))
(cbrt.f64 (pow.f64 (fma.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) -1/2) (/.f64 (cos.f64 y) (+.f64 (sqrt.f64 5/4) 3/2))) 3))
(expm1.f64 (log1p.f64 (fma.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) -1/2) (/.f64 (cos.f64 y) (+.f64 (sqrt.f64 5/4) 3/2)))))
(exp.f64 (log.f64 (fma.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) -1/2) (/.f64 (cos.f64 y) (+.f64 (sqrt.f64 5/4) 3/2)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) -1/2) (/.f64 (cos.f64 y) (+.f64 (sqrt.f64 5/4) 3/2)))) 1))
(log1p.f64 (expm1.f64 (fma.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) -1/2) (/.f64 (cos.f64 y) (+.f64 (sqrt.f64 5/4) 3/2)))))
(fma.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) -1/2) (/.f64 (cos.f64 y) (+.f64 (sqrt.f64 5/4) 3/2)))
(fma.f64 (cos.f64 y) (-.f64 3/2 (sqrt.f64 5/4)) (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) -1/2)))
(fma.f64 1 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) -1/2)) (/.f64 (cos.f64 y) (+.f64 (sqrt.f64 5/4) 3/2)))
(fma.f64 1 (/.f64 (cos.f64 y) (+.f64 (sqrt.f64 5/4) 3/2)) (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) -1/2)))
(fma.f64 (-.f64 3/2 (sqrt.f64 5/4)) (cos.f64 y) (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) -1/2)))
(fma.f64 (sqrt.f64 (/.f64 (cos.f64 y) (+.f64 (sqrt.f64 5/4) 3/2))) (sqrt.f64 (/.f64 (cos.f64 y) (+.f64 (sqrt.f64 5/4) 3/2))) (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) -1/2)))
(fma.f64 (sqrt.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) -1/2))) (sqrt.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) -1/2))) (/.f64 (cos.f64 y) (+.f64 (sqrt.f64 5/4) 3/2)))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 (cos.f64 y) (+.f64 (sqrt.f64 5/4) 3/2))) 2) (cbrt.f64 (/.f64 (cos.f64 y) (+.f64 (sqrt.f64 5/4) 3/2))) (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) -1/2)))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) -1/2))) 2) (cbrt.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) -1/2))) (/.f64 (cos.f64 y) (+.f64 (sqrt.f64 5/4) 3/2)))

Outputs
(/.f64 1 (+.f64 (sqrt.f64 5/4) 1/2))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 x 2) (+.f64 (sqrt.f64 5/4) 1/2))) (/.f64 1 (+.f64 (sqrt.f64 5/4) 1/2)))
(fma.f64 -1/2 (/.f64 (*.f64 x x) (+.f64 (sqrt.f64 5/4) 1/2)) (/.f64 1 (+.f64 (sqrt.f64 5/4) 1/2)))
(fma.f64 -1/2 (/.f64 x (/.f64 (+.f64 (sqrt.f64 5/4) 1/2) x)) (/.f64 1 (+.f64 (sqrt.f64 5/4) 1/2)))
(fma.f64 -1/2 (*.f64 (/.f64 x (+.f64 (sqrt.f64 5/4) 1/2)) x) (/.f64 1 (+.f64 (sqrt.f64 5/4) 1/2)))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 x 2) (+.f64 (sqrt.f64 5/4) 1/2))) (+.f64 (/.f64 1 (+.f64 (sqrt.f64 5/4) 1/2)) (.f64 1/24 (/.f64 (pow.f64 x 4) (+.f64 (sqrt.f64 5/4) 1/2)))))
(+.f64 (fma.f64 -1/2 (/.f64 (.f64 x x) (+.f64 (sqrt.f64 5/4) 1/2)) (/.f64 1 (+.f64 (sqrt.f64 5/4) 1/2))) (/.f64 (.f64 1/24 (pow.f64 x 4)) (+.f64 (sqrt.f64 5/4) 1/2)))
(fma.f64 -1/2 (/.f64 x (/.f64 (+.f64 (sqrt.f64 5/4) 1/2) x)) (fma.f64 1/24 (/.f64 (pow.f64 x 4) (+.f64 (sqrt.f64 5/4) 1/2)) (/.f64 1 (+.f64 (sqrt.f64 5/4) 1/2))))
(fma.f64 -1/2 (*.f64 (/.f64 x (+.f64 (sqrt.f64 5/4) 1/2)) x) (fma.f64 1/24 (/.f64 (pow.f64 x 4) (+.f64 (sqrt.f64 5/4) 1/2)) (/.f64 1 (+.f64 (sqrt.f64 5/4) 1/2))))
(+.f64 (.f64 -1/720 (/.f64 (pow.f64 x 6) (+.f64 (sqrt.f64 5/4) 1/2))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 x 2) (+.f64 (sqrt.f64 5/4) 1/2))) (+.f64 (/.f64 1 (+.f64 (sqrt.f64 5/4) 1/2)) (*.f64 1/24 (/.f64 (pow.f64 x 4) (+.f64 (sqrt.f64 5/4) 1/2))))))
(fma.f64 -1/720 (/.f64 (pow.f64 x 6) (+.f64 (sqrt.f64 5/4) 1/2)) (+.f64 (fma.f64 -1/2 (/.f64 (.f64 x x) (+.f64 (sqrt.f64 5/4) 1/2)) (/.f64 1 (+.f64 (sqrt.f64 5/4) 1/2))) (/.f64 (.f64 1/24 (pow.f64 x 4)) (+.f64 (sqrt.f64 5/4) 1/2))))
(fma.f64 -1/720 (/.f64 (pow.f64 x 6) (+.f64 (sqrt.f64 5/4) 1/2)) (fma.f64 -1/2 (/.f64 x (/.f64 (+.f64 (sqrt.f64 5/4) 1/2) x)) (fma.f64 1/24 (/.f64 (pow.f64 x 4) (+.f64 (sqrt.f64 5/4) 1/2)) (/.f64 1 (+.f64 (sqrt.f64 5/4) 1/2)))))
(fma.f64 -1/720 (/.f64 (pow.f64 x 6) (+.f64 (sqrt.f64 5/4) 1/2)) (fma.f64 -1/2 (*.f64 (/.f64 x (+.f64 (sqrt.f64 5/4) 1/2)) x) (fma.f64 1/24 (/.f64 (pow.f64 x 4) (+.f64 (sqrt.f64 5/4) 1/2)) (/.f64 1 (+.f64 (sqrt.f64 5/4) 1/2)))))
(+.f64 (/.f64 (cos.f64 y) (+.f64 (sqrt.f64 5/4) 3/2)) (/.f64 1 (+.f64 (sqrt.f64 5/4) 1/2)))
(+.f64 (/.f64 1 (+.f64 (sqrt.f64 5/4) 1/2)) (/.f64 (cos.f64 y) (+.f64 (sqrt.f64 5/4) 3/2)))
(+.f64 (/.f64 (cos.f64 y) (+.f64 (sqrt.f64 5/4) 3/2)) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 x 2) (+.f64 (sqrt.f64 5/4) 1/2))) (/.f64 1 (+.f64 (sqrt.f64 5/4) 1/2))))
(+.f64 (fma.f64 -1/2 (/.f64 (*.f64 x x) (+.f64 (sqrt.f64 5/4) 1/2)) (/.f64 1 (+.f64 (sqrt.f64 5/4) 1/2))) (/.f64 (cos.f64 y) (+.f64 (sqrt.f64 5/4) 3/2)))
(+.f64 (fma.f64 -1/2 (/.f64 x (/.f64 (+.f64 (sqrt.f64 5/4) 1/2) x)) (/.f64 1 (+.f64 (sqrt.f64 5/4) 1/2))) (/.f64 (cos.f64 y) (+.f64 (sqrt.f64 5/4) 3/2)))
(+.f64 (fma.f64 -1/2 (*.f64 (/.f64 x (+.f64 (sqrt.f64 5/4) 1/2)) x) (/.f64 1 (+.f64 (sqrt.f64 5/4) 1/2))) (/.f64 (cos.f64 y) (+.f64 (sqrt.f64 5/4) 3/2)))
(+.f64 (/.f64 (cos.f64 y) (+.f64 (sqrt.f64 5/4) 3/2)) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 x 2) (+.f64 (sqrt.f64 5/4) 1/2))) (+.f64 (/.f64 1 (+.f64 (sqrt.f64 5/4) 1/2)) (.f64 1/24 (/.f64 (pow.f64 x 4) (+.f64 (sqrt.f64 5/4) 1/2))))))
(+.f64 (+.f64 (fma.f64 -1/2 (/.f64 (.f64 x x) (+.f64 (sqrt.f64 5/4) 1/2)) (/.f64 1 (+.f64 (sqrt.f64 5/4) 1/2))) (/.f64 (.f64 1/24 (pow.f64 x 4)) (+.f64 (sqrt.f64 5/4) 1/2))) (/.f64 (cos.f64 y) (+.f64 (sqrt.f64 5/4) 3/2)))
(+.f64 (fma.f64 -1/2 (/.f64 x (/.f64 (+.f64 (sqrt.f64 5/4) 1/2) x)) (fma.f64 1/24 (/.f64 (pow.f64 x 4) (+.f64 (sqrt.f64 5/4) 1/2)) (/.f64 1 (+.f64 (sqrt.f64 5/4) 1/2)))) (/.f64 (cos.f64 y) (+.f64 (sqrt.f64 5/4) 3/2)))
(+.f64 (fma.f64 -1/2 (*.f64 (/.f64 x (+.f64 (sqrt.f64 5/4) 1/2)) x) (fma.f64 1/24 (/.f64 (pow.f64 x 4) (+.f64 (sqrt.f64 5/4) 1/2)) (/.f64 1 (+.f64 (sqrt.f64 5/4) 1/2)))) (/.f64 (cos.f64 y) (+.f64 (sqrt.f64 5/4) 3/2)))
(+.f64 (.f64 -1/720 (/.f64 (pow.f64 x 6) (+.f64 (sqrt.f64 5/4) 1/2))) (+.f64 (/.f64 (cos.f64 y) (+.f64 (sqrt.f64 5/4) 3/2)) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 x 2) (+.f64 (sqrt.f64 5/4) 1/2))) (+.f64 (/.f64 1 (+.f64 (sqrt.f64 5/4) 1/2)) (*.f64 1/24 (/.f64 (pow.f64 x 4) (+.f64 (sqrt.f64 5/4) 1/2)))))))
(fma.f64 -1/720 (/.f64 (pow.f64 x 6) (+.f64 (sqrt.f64 5/4) 1/2)) (+.f64 (+.f64 (fma.f64 -1/2 (/.f64 (.f64 x x) (+.f64 (sqrt.f64 5/4) 1/2)) (/.f64 1 (+.f64 (sqrt.f64 5/4) 1/2))) (/.f64 (.f64 1/24 (pow.f64 x 4)) (+.f64 (sqrt.f64 5/4) 1/2))) (/.f64 (cos.f64 y) (+.f64 (sqrt.f64 5/4) 3/2))))
(+.f64 (fma.f64 -1/2 (/.f64 x (/.f64 (+.f64 (sqrt.f64 5/4) 1/2) x)) (fma.f64 1/24 (/.f64 (pow.f64 x 4) (+.f64 (sqrt.f64 5/4) 1/2)) (/.f64 1 (+.f64 (sqrt.f64 5/4) 1/2)))) (fma.f64 -1/720 (/.f64 (pow.f64 x 6) (+.f64 (sqrt.f64 5/4) 1/2)) (/.f64 (cos.f64 y) (+.f64 (sqrt.f64 5/4) 3/2))))
(+.f64 (fma.f64 -1/2 (*.f64 (/.f64 x (+.f64 (sqrt.f64 5/4) 1/2)) x) (fma.f64 1/24 (/.f64 (pow.f64 x 4) (+.f64 (sqrt.f64 5/4) 1/2)) (/.f64 1 (+.f64 (sqrt.f64 5/4) 1/2)))) (fma.f64 -1/720 (/.f64 (pow.f64 x 6) (+.f64 (sqrt.f64 5/4) 1/2)) (/.f64 (cos.f64 y) (+.f64 (sqrt.f64 5/4) 3/2))))
(+.f64 (/.f64 (cos.f64 y) (+.f64 (sqrt.f64 5/4) 3/2)) (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) 1/2)))
(+.f64 (/.f64 (cos.f64 y) (+.f64 (sqrt.f64 5/4) 3/2)) (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) 1/2)))
(+.f64 (/.f64 (cos.f64 y) (+.f64 (sqrt.f64 5/4) 3/2)) (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) 1/2)))
(+.f64 (/.f64 (cos.f64 y) (+.f64 (sqrt.f64 5/4) 3/2)) (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) 1/2)))
(+.f64 (/.f64 (cos.f64 y) (+.f64 (sqrt.f64 5/4) 3/2)) (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) 1/2)))
(+.f64 (/.f64 (cos.f64 y) (+.f64 (sqrt.f64 5/4) 3/2)) (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) 1/2)))
(+.f64 (/.f64 (cos.f64 y) (+.f64 (sqrt.f64 5/4) 3/2)) (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) 1/2)))
(+.f64 (/.f64 (cos.f64 y) (+.f64 (sqrt.f64 5/4) 3/2)) (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) 1/2)))
(+.f64 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) 1/2)) (/.f64 1 (+.f64 (sqrt.f64 5/4) 3/2)))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 y 2) (+.f64 (sqrt.f64 5/4) 3/2))) (+.f64 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) 1/2)) (/.f64 1 (+.f64 (sqrt.f64 5/4) 3/2))))
(fma.f64 -1/2 (/.f64 (*.f64 y y) (+.f64 (sqrt.f64 5/4) 3/2)) (+.f64 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) 1/2)) (/.f64 1 (+.f64 (sqrt.f64 5/4) 3/2))))
(+.f64 (/.f64 1 (+.f64 (sqrt.f64 5/4) 3/2)) (fma.f64 -1/2 (/.f64 y (/.f64 (+.f64 (sqrt.f64 5/4) 3/2) y)) (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) 1/2))))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 y 2) (+.f64 (sqrt.f64 5/4) 3/2))) (+.f64 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) 1/2)) (+.f64 (.f64 1/24 (/.f64 (pow.f64 y 4) (+.f64 (sqrt.f64 5/4) 3/2))) (/.f64 1 (+.f64 (sqrt.f64 5/4) 3/2)))))
(fma.f64 -1/2 (/.f64 (*.f64 y y) (+.f64 (sqrt.f64 5/4) 3/2)) (+.f64 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) 1/2)) (fma.f64 1/24 (/.f64 (pow.f64 y 4) (+.f64 (sqrt.f64 5/4) 3/2)) (/.f64 1 (+.f64 (sqrt.f64 5/4) 3/2)))))
(+.f64 (fma.f64 1/24 (/.f64 (pow.f64 y 4) (+.f64 (sqrt.f64 5/4) 3/2)) (/.f64 1 (+.f64 (sqrt.f64 5/4) 3/2))) (fma.f64 -1/2 (/.f64 y (/.f64 (+.f64 (sqrt.f64 5/4) 3/2) y)) (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) 1/2))))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 y 2) (+.f64 (sqrt.f64 5/4) 3/2))) (+.f64 (.f64 -1/720 (/.f64 (pow.f64 y 6) (+.f64 (sqrt.f64 5/4) 3/2))) (+.f64 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) 1/2)) (+.f64 (*.f64 1/24 (/.f64 (pow.f64 y 4) (+.f64 (sqrt.f64 5/4) 3/2))) (/.f64 1 (+.f64 (sqrt.f64 5/4) 3/2))))))
(fma.f64 -1/2 (/.f64 (*.f64 y y) (+.f64 (sqrt.f64 5/4) 3/2)) (fma.f64 -1/720 (/.f64 (pow.f64 y 6) (+.f64 (sqrt.f64 5/4) 3/2)) (+.f64 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) 1/2)) (fma.f64 1/24 (/.f64 (pow.f64 y 4) (+.f64 (sqrt.f64 5/4) 3/2)) (/.f64 1 (+.f64 (sqrt.f64 5/4) 3/2))))))
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(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) -1/2) (/.f64 (cos.f64 y) (+.f64 (sqrt.f64 5/4) 3/2))))))
(fma.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) -1/2) (/.f64 (cos.f64 y) (+.f64 (sqrt.f64 5/4) 3/2)))
(cbrt.f64 (pow.f64 (fma.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) -1/2) (/.f64 (cos.f64 y) (+.f64 (sqrt.f64 5/4) 3/2))) 3))
(fma.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) -1/2) (/.f64 (cos.f64 y) (+.f64 (sqrt.f64 5/4) 3/2)))
(expm1.f64 (log1p.f64 (fma.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) -1/2) (/.f64 (cos.f64 y) (+.f64 (sqrt.f64 5/4) 3/2)))))
(fma.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) -1/2) (/.f64 (cos.f64 y) (+.f64 (sqrt.f64 5/4) 3/2)))
(exp.f64 (log.f64 (fma.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) -1/2) (/.f64 (cos.f64 y) (+.f64 (sqrt.f64 5/4) 3/2)))))
(fma.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) -1/2) (/.f64 (cos.f64 y) (+.f64 (sqrt.f64 5/4) 3/2)))
(exp.f64 (*.f64 (log.f64 (fma.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) -1/2) (/.f64 (cos.f64 y) (+.f64 (sqrt.f64 5/4) 3/2)))) 1))
(fma.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) -1/2) (/.f64 (cos.f64 y) (+.f64 (sqrt.f64 5/4) 3/2)))
(log1p.f64 (expm1.f64 (fma.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) -1/2) (/.f64 (cos.f64 y) (+.f64 (sqrt.f64 5/4) 3/2)))))
(fma.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) -1/2) (/.f64 (cos.f64 y) (+.f64 (sqrt.f64 5/4) 3/2)))
(fma.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) -1/2) (/.f64 (cos.f64 y) (+.f64 (sqrt.f64 5/4) 3/2)))
(fma.f64 (cos.f64 y) (-.f64 3/2 (sqrt.f64 5/4)) (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) -1/2)))
(fma.f64 1 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) -1/2)) (/.f64 (cos.f64 y) (+.f64 (sqrt.f64 5/4) 3/2)))
(fma.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) -1/2) (/.f64 (cos.f64 y) (+.f64 (sqrt.f64 5/4) 3/2)))
(fma.f64 1 (/.f64 (cos.f64 y) (+.f64 (sqrt.f64 5/4) 3/2)) (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) -1/2)))
(fma.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) -1/2) (/.f64 (cos.f64 y) (+.f64 (sqrt.f64 5/4) 3/2)))
(fma.f64 (-.f64 3/2 (sqrt.f64 5/4)) (cos.f64 y) (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) -1/2)))
(fma.f64 (cos.f64 y) (-.f64 3/2 (sqrt.f64 5/4)) (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) -1/2)))
(fma.f64 (sqrt.f64 (/.f64 (cos.f64 y) (+.f64 (sqrt.f64 5/4) 3/2))) (sqrt.f64 (/.f64 (cos.f64 y) (+.f64 (sqrt.f64 5/4) 3/2))) (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) -1/2)))
(fma.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) -1/2) (/.f64 (cos.f64 y) (+.f64 (sqrt.f64 5/4) 3/2)))
(fma.f64 (sqrt.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) -1/2))) (sqrt.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) -1/2))) (/.f64 (cos.f64 y) (+.f64 (sqrt.f64 5/4) 3/2)))
(fma.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) -1/2) (/.f64 (cos.f64 y) (+.f64 (sqrt.f64 5/4) 3/2)))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 (cos.f64 y) (+.f64 (sqrt.f64 5/4) 3/2))) 2) (cbrt.f64 (/.f64 (cos.f64 y) (+.f64 (sqrt.f64 5/4) 3/2))) (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) -1/2)))
(fma.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) -1/2) (/.f64 (cos.f64 y) (+.f64 (sqrt.f64 5/4) 3/2)))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) -1/2))) 2) (cbrt.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) -1/2))) (/.f64 (cos.f64 y) (+.f64 (sqrt.f64 5/4) 3/2)))
(fma.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) -1/2) (/.f64 (cos.f64 y) (+.f64 (sqrt.f64 5/4) 3/2)))

localize72.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 1/192 (.f64 (sqrt.f64 2) (pow.f64 x 4)))
✓	0.1b	(*.f64 (sqrt.f64 2) (pow.f64 x 4))

Compiler

Compiled 36 to 31 computations (13.9% saved)

series2.0ms (0%)

Counts

2 → 0

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(*.f64 (sqrt.f64 2) (pow.f64 x 4))
0.0ms	x	@	inf	(*.f64 (sqrt.f64 2) (pow.f64 x 4))
0.0ms	x	@	0	(.f64 1/192 (.f64 (sqrt.f64 2) (pow.f64 x 4)))
0.0ms	x	@	inf	(.f64 1/192 (.f64 (sqrt.f64 2) (pow.f64 x 4)))
0.0ms	x	@	-inf	(*.f64 (sqrt.f64 2) (pow.f64 x 4))

rewrite78.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1852×	`add-sqr-sqrt`
1826×	`*-un-lft-identity`
1704×	`add-cube-cbrt`
1684×	`add-cbrt-cube`
200×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	40
1	223	40
2	2427	40

Stop Event

1×	node limit

Counts

2 → 26

Calls

Call 1

Inputs
(*.f64 (sqrt.f64 2) (pow.f64 x 4))
(.f64 1/192 (.f64 (sqrt.f64 2) (pow.f64 x 4)))

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 x 4) 1/192)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 x 4) 1/192)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 (*.f64 (sqrt.f64 2) 1/192)) (*.f64 x x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 x 4) 1/192))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 x 4) 1/192)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 2 (pow.f64 x 8)) 1/36864))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 (sqrt.f64 2)) (pow.f64 x 4)) 1/192))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 x 4) 1/192)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 x 4) 1/192)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 x 4) 1/192))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 x 4) 1/192))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 x 4) 1/192))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 x 4) 1/192))))))))

simplify60.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1190×	`distribute-lft-out`
1138×	`fma-def`
910×	`distribute-lft-neg-in`
826×	`distribute-rgt-neg-in`
794×	`log-prod`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	72	520
1	167	514
2	639	514
3	2278	514
4	5094	514

Stop Event

1×	node limit

Counts

26 → 29

Calls

Call 1

Inputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 2) (pow.f64 x 4)))) 1)
(pow.f64 (*.f64 (sqrt.f64 2) (pow.f64 x 4)) 1)
(pow.f64 (.f64 (pow.f64 2 1/4) (.f64 x x)) 2)
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 2) (pow.f64 x 4))) 3)
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 2) (pow.f64 x 4)) 3) 1/3)
(sqrt.f64 (*.f64 2 (pow.f64 x 8)))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 2)) (pow.f64 x 4)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sqrt.f64 2) (pow.f64 x 4)))))
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 2) (pow.f64 x 4)) 3))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 2) (pow.f64 x 4))))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 2) (pow.f64 x 4))))
(exp.f64 (.f64 (log.f64 (.f64 (sqrt.f64 2) (pow.f64 x 4))) 1))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 2) (pow.f64 x 4))))
(-.f64 (exp.f64 (log1p.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 x 4) 1/192)))) 1)
(pow.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 x 4) 1/192)) 1)
(pow.f64 (.f64 (sqrt.f64 (.f64 (sqrt.f64 2) 1/192)) (*.f64 x x)) 2)
(pow.f64 (cbrt.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 x 4) 1/192))) 3)
(pow.f64 (pow.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 x 4) 1/192)) 3) 1/3)
(sqrt.f64 (.f64 (.f64 2 (pow.f64 x 8)) 1/36864))
(log.f64 (pow.f64 (pow.f64 (exp.f64 (sqrt.f64 2)) (pow.f64 x 4)) 1/192))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 x 4) 1/192)))))
(cbrt.f64 (pow.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 x 4) 1/192)) 3))
(expm1.f64 (log1p.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 x 4) 1/192))))
(exp.f64 (log.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 x 4) 1/192))))
(exp.f64 (.f64 (log.f64 (.f64 (sqrt.f64 2) (*.f64 (pow.f64 x 4) 1/192))) 1))
(log1p.f64 (expm1.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 x 4) 1/192))))

Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 2) (pow.f64 x 4)))) 1)
(*.f64 (sqrt.f64 2) (pow.f64 x 4))
(pow.f64 (*.f64 (sqrt.f64 2) (pow.f64 x 4)) 1)
(*.f64 (sqrt.f64 2) (pow.f64 x 4))
(pow.f64 (.f64 (pow.f64 2 1/4) (.f64 x x)) 2)
(*.f64 (sqrt.f64 2) (pow.f64 x 4))
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 2) (pow.f64 x 4))) 3)
(*.f64 (sqrt.f64 2) (pow.f64 x 4))
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 2) (pow.f64 x 4)) 3) 1/3)
(*.f64 (sqrt.f64 2) (pow.f64 x 4))
(sqrt.f64 (*.f64 2 (pow.f64 x 8)))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 2)) (pow.f64 x 4)))
(*.f64 (sqrt.f64 2) (pow.f64 x 4))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sqrt.f64 2) (pow.f64 x 4)))))
(*.f64 (sqrt.f64 2) (pow.f64 x 4))
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 2) (pow.f64 x 4)) 3))
(*.f64 (sqrt.f64 2) (pow.f64 x 4))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 2) (pow.f64 x 4))))
(*.f64 (sqrt.f64 2) (pow.f64 x 4))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 2) (pow.f64 x 4))))
(*.f64 (sqrt.f64 2) (pow.f64 x 4))
(exp.f64 (.f64 (log.f64 (.f64 (sqrt.f64 2) (pow.f64 x 4))) 1))
(*.f64 (sqrt.f64 2) (pow.f64 x 4))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 2) (pow.f64 x 4))))
(*.f64 (sqrt.f64 2) (pow.f64 x 4))
(-.f64 (exp.f64 (log1p.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 x 4) 1/192)))) 1)
(.f64 (sqrt.f64 2) (.f64 (pow.f64 x 4) 1/192))
(pow.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 x 4) 1/192)) 1)
(.f64 (sqrt.f64 2) (.f64 (pow.f64 x 4) 1/192))
(pow.f64 (.f64 (sqrt.f64 (.f64 (sqrt.f64 2) 1/192)) (*.f64 x x)) 2)
(.f64 (sqrt.f64 2) (.f64 (pow.f64 x 4) 1/192))
(pow.f64 (cbrt.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 x 4) 1/192))) 3)
(.f64 (sqrt.f64 2) (.f64 (pow.f64 x 4) 1/192))
(pow.f64 (pow.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 x 4) 1/192)) 3) 1/3)
(.f64 (sqrt.f64 2) (.f64 (pow.f64 x 4) 1/192))
(sqrt.f64 (.f64 (.f64 2 (pow.f64 x 8)) 1/36864))
(sqrt.f64 (*.f64 (pow.f64 x 8) 1/18432))
(log.f64 (pow.f64 (pow.f64 (exp.f64 (sqrt.f64 2)) (pow.f64 x 4)) 1/192))
(.f64 (sqrt.f64 2) (.f64 (pow.f64 x 4) 1/192))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 x 4) 1/192)))))
(.f64 (sqrt.f64 2) (.f64 (pow.f64 x 4) 1/192))
(cbrt.f64 (pow.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 x 4) 1/192)) 3))
(.f64 (sqrt.f64 2) (.f64 (pow.f64 x 4) 1/192))
(expm1.f64 (log1p.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 x 4) 1/192))))
(.f64 (sqrt.f64 2) (.f64 (pow.f64 x 4) 1/192))
(exp.f64 (log.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 x 4) 1/192))))
(.f64 (sqrt.f64 2) (.f64 (pow.f64 x 4) 1/192))
(exp.f64 (.f64 (log.f64 (.f64 (sqrt.f64 2) (*.f64 (pow.f64 x 4) 1/192))) 1))
(.f64 (sqrt.f64 2) (.f64 (pow.f64 x 4) 1/192))
(log1p.f64 (expm1.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 x 4) 1/192))))
(.f64 (sqrt.f64 2) (.f64 (pow.f64 x 4) 1/192))

localize116.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.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 1/2 (+.f64 (.f64 1/2 (sqrt.f64 5)) (.f64 (-.f64 3/2 (*.f64 1/2 (sqrt.f64 5))) (cos.f64 y))))))
✓	0.2b	(.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)))
✓	1.8b	(-.f64 1 (cos.f64 y))

Compiler

Compiled 194 to 153 computations (21.1% saved)

series6.0ms (0%)

Counts

3 → 20

Calls

9 calls:

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

rewrite61.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

624×	`add-sqr-sqrt`
594×	`*-un-lft-identity`
592×	`pow1`
582×	`add-exp-log`
582×	`add-cbrt-cube`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	28	149
1	625	137

Stop Event

1×	node limit

Counts

3 → 67

Calls

Call 1

Inputs

(-.f64 1 (cos.f64 y))

(*.f64 (sqrt.f64 2) (*.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2)))

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

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

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

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

simplify89.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1822×	`unswap-sqr`
1382×	`distribute-lft-in`
1378×	`distribute-rgt-in`
496×	`associate-*r/`
380×	`+-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	256	4921
1	636	4843
2	2618	4803

Stop Event

1×	node limit

Counts

87 → 125

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))))))
1/3
(+.f64 1/3 (.f64 1/12 (.f64 (pow.f64 y 2) (-.f64 3/2 (*.f64 1/2 (sqrt.f64 5))))))
(+.f64 1/3 (+.f64 (.f64 1/3 (.f64 (-.f64 (.f64 -1/64 (sqrt.f64 2)) (+.f64 (.f64 1/48 (-.f64 3/2 (.f64 1/2 (sqrt.f64 5)))) (.f64 -1/16 (pow.f64 (-.f64 3/2 (.f64 1/2 (sqrt.f64 5))) 2)))) (pow.f64 y 4))) (.f64 1/12 (.f64 (pow.f64 y 2) (-.f64 3/2 (.f64 1/2 (sqrt.f64 5)))))))
(+.f64 1/3 (+.f64 (.f64 1/3 (.f64 (pow.f64 y 6) (-.f64 (.f64 5/768 (sqrt.f64 2)) (+.f64 (.f64 -1/4 (.f64 (-.f64 (.f64 -1/64 (sqrt.f64 2)) (+.f64 (.f64 1/48 (-.f64 3/2 (.f64 1/2 (sqrt.f64 5)))) (.f64 -1/16 (pow.f64 (-.f64 3/2 (.f64 1/2 (sqrt.f64 5))) 2)))) (-.f64 3/2 (.f64 1/2 (sqrt.f64 5))))) (+.f64 (.f64 1/192 (pow.f64 (-.f64 3/2 (.f64 1/2 (sqrt.f64 5))) 2)) (.f64 -1/1440 (-.f64 3/2 (.f64 1/2 (sqrt.f64 5))))))))) (+.f64 (.f64 1/3 (.f64 (-.f64 (.f64 -1/64 (sqrt.f64 2)) (+.f64 (.f64 1/48 (-.f64 3/2 (.f64 1/2 (sqrt.f64 5)))) (.f64 -1/16 (pow.f64 (-.f64 3/2 (.f64 1/2 (sqrt.f64 5))) 2)))) (pow.f64 y 4))) (.f64 1/12 (.f64 (pow.f64 y 2) (-.f64 3/2 (*.f64 1/2 (sqrt.f64 5))))))))
(.f64 1/3 (/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2))))) (+.f64 1/2 (+.f64 (.f64 1/2 (sqrt.f64 5)) (.f64 (-.f64 3/2 (*.f64 1/2 (sqrt.f64 5))) (cos.f64 y))))))
(.f64 1/3 (/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2))))) (+.f64 1/2 (+.f64 (.f64 1/2 (sqrt.f64 5)) (.f64 (-.f64 3/2 (*.f64 1/2 (sqrt.f64 5))) (cos.f64 y))))))
(.f64 1/3 (/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2))))) (+.f64 1/2 (+.f64 (.f64 1/2 (sqrt.f64 5)) (.f64 (-.f64 3/2 (*.f64 1/2 (sqrt.f64 5))) (cos.f64 y))))))
(.f64 1/3 (/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2))))) (+.f64 1/2 (+.f64 (.f64 1/2 (sqrt.f64 5)) (.f64 (-.f64 3/2 (*.f64 1/2 (sqrt.f64 5))) (cos.f64 y))))))
(.f64 1/3 (/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2))))) (+.f64 1/2 (+.f64 (.f64 1/2 (sqrt.f64 5)) (.f64 (-.f64 3/2 (*.f64 1/2 (sqrt.f64 5))) (cos.f64 y))))))
(.f64 1/3 (/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2))))) (+.f64 1/2 (+.f64 (.f64 1/2 (sqrt.f64 5)) (.f64 (-.f64 3/2 (*.f64 1/2 (sqrt.f64 5))) (cos.f64 y))))))
(.f64 1/3 (/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2))))) (+.f64 1/2 (+.f64 (.f64 1/2 (sqrt.f64 5)) (.f64 (-.f64 3/2 (*.f64 1/2 (sqrt.f64 5))) (cos.f64 y))))))
(.f64 1/3 (/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2))))) (+.f64 1/2 (+.f64 (.f64 1/2 (sqrt.f64 5)) (.f64 (-.f64 3/2 (*.f64 1/2 (sqrt.f64 5))) (cos.f64 y))))))
(+.f64 1 (neg.f64 (cos.f64 y)))
(+.f64 1 (*.f64 (neg.f64 (cos.f64 y)) 1))
(+.f64 (neg.f64 (cos.f64 y)) 1)
(*.f64 1 (-.f64 1 (cos.f64 y)))
(*.f64 (-.f64 1 (cos.f64 y)) 1)
(*.f64 (pow.f64 (sin.f64 y) 2) (/.f64 1 (+.f64 1 (cos.f64 y))))
(*.f64 (sqrt.f64 (-.f64 1 (cos.f64 y))) (sqrt.f64 (-.f64 1 (cos.f64 y))))
(*.f64 (cbrt.f64 (-.f64 1 (cos.f64 y))) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 y))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 y))) 2) (cbrt.f64 (-.f64 1 (cos.f64 y))))
(*.f64 (-.f64 1 (pow.f64 (cos.f64 y) 3)) (/.f64 1 (+.f64 1 (+.f64 (cos.f64 y) (pow.f64 (cos.f64 y) 2)))))
(/.f64 1 (/.f64 (+.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2)))
(/.f64 1 (/.f64 (+.f64 1 (+.f64 (cos.f64 y) (pow.f64 (cos.f64 y) 2))) (-.f64 1 (pow.f64 (cos.f64 y) 3))))
(/.f64 (pow.f64 (sin.f64 y) 2) (+.f64 1 (cos.f64 y)))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 y) 3)) (+.f64 1 (+.f64 (cos.f64 y) (pow.f64 (cos.f64 y) 2))))
(/.f64 (-.f64 1 (*.f64 (neg.f64 (cos.f64 y)) (neg.f64 (cos.f64 y)))) (-.f64 1 (neg.f64 (cos.f64 y))))
(/.f64 (+.f64 1 (pow.f64 (neg.f64 (cos.f64 y)) 3)) (+.f64 1 (-.f64 (*.f64 (neg.f64 (cos.f64 y)) (neg.f64 (cos.f64 y))) (neg.f64 (cos.f64 y)))))
(/.f64 (neg.f64 (pow.f64 (sin.f64 y) 2)) (neg.f64 (+.f64 1 (cos.f64 y))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (cos.f64 y) 3))) (neg.f64 (+.f64 1 (+.f64 (cos.f64 y) (pow.f64 (cos.f64 y) 2)))))
(pow.f64 (-.f64 1 (cos.f64 y)) 1)
(pow.f64 (sqrt.f64 (-.f64 1 (cos.f64 y))) 2)
(pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 y))) 3)
(pow.f64 (pow.f64 (-.f64 1 (cos.f64 y)) 3) 1/3)
(sqrt.f64 (pow.f64 (-.f64 1 (cos.f64 y)) 2))
(log.f64 (exp.f64 (-.f64 1 (cos.f64 y))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 1 (cos.f64 y)))))
(cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 y)) 3))
(expm1.f64 (log1p.f64 (-.f64 1 (cos.f64 y))))
(exp.f64 (log1p.f64 (neg.f64 (cos.f64 y))))
(exp.f64 (*.f64 (log1p.f64 (neg.f64 (cos.f64 y))) 1))
(log1p.f64 (expm1.f64 (-.f64 1 (cos.f64 y))))
(-.f64 (exp.f64 (log1p.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2))))) 1)
(pow.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2))) 1)
(pow.f64 (.f64 (sqrt.f64 (.f64 (-.f64 1 (cos.f64 y)) (sqrt.f64 2))) (sin.f64 y)) 2)
(pow.f64 (cbrt.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2)))) 3)
(pow.f64 (pow.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2))) 3) 1/3)
(sqrt.f64 (.f64 2 (.f64 (pow.f64 (sin.f64 y) 4) (pow.f64 (-.f64 1 (cos.f64 y)) 2))))
(log.f64 (pow.f64 (pow.f64 (exp.f64 (pow.f64 (sin.f64 y) 2)) (-.f64 1 (cos.f64 y))) (sqrt.f64 2)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2))))))
(cbrt.f64 (pow.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2))) 3))
(cbrt.f64 (.f64 (.f64 2 (sqrt.f64 2)) (pow.f64 (*.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2)) 3)))
(cbrt.f64 (.f64 (pow.f64 (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2)) 3) (*.f64 2 (sqrt.f64 2))))
(expm1.f64 (log1p.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2)))))
(exp.f64 (log.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2)))))
(exp.f64 (.f64 (log.f64 (.f64 (sqrt.f64 2) (*.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2)))) 1))
(log1p.f64 (expm1.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2)))))
(-.f64 (exp.f64 (log1p.f64 (.f64 1/3 (/.f64 (fma.f64 (.f64 (sqrt.f64 2) (*.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2))) -1/16 2) (+.f64 1/2 (fma.f64 (cos.f64 y) (-.f64 3/2 (sqrt.f64 5/4)) (sqrt.f64 5/4))))))) 1)
(/.f64 1 (/.f64 (+.f64 1/2 (fma.f64 (cos.f64 y) (-.f64 3/2 (sqrt.f64 5/4)) (sqrt.f64 5/4))) (.f64 1/3 (fma.f64 (.f64 (sqrt.f64 2) (*.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2))) -1/16 2))))
(/.f64 1/3 (/.f64 (+.f64 1/2 (fma.f64 (cos.f64 y) (-.f64 3/2 (sqrt.f64 5/4)) (sqrt.f64 5/4))) (fma.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2))) -1/16 2)))
(/.f64 (.f64 1/3 (fma.f64 (.f64 (sqrt.f64 2) (*.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2))) -1/16 2)) (+.f64 1/2 (fma.f64 (cos.f64 y) (-.f64 3/2 (sqrt.f64 5/4)) (sqrt.f64 5/4))))
(/.f64 (.f64 1/3 (neg.f64 (fma.f64 (.f64 (sqrt.f64 2) (*.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2))) -1/16 2))) (+.f64 -1/2 (neg.f64 (fma.f64 (cos.f64 y) (-.f64 3/2 (sqrt.f64 5/4)) (sqrt.f64 5/4)))))
(/.f64 (.f64 (neg.f64 (fma.f64 (.f64 (sqrt.f64 2) (*.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2))) -1/16 2)) 1/3) (+.f64 -1/2 (neg.f64 (fma.f64 (cos.f64 y) (-.f64 3/2 (sqrt.f64 5/4)) (sqrt.f64 5/4)))))
(/.f64 (/.f64 (.f64 1/3 (fma.f64 (.f64 (sqrt.f64 2) (*.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2))) -1/16 2)) 1) (+.f64 1/2 (fma.f64 (cos.f64 y) (-.f64 3/2 (sqrt.f64 5/4)) (sqrt.f64 5/4))))
(/.f64 (/.f64 (.f64 1/3 (fma.f64 (.f64 (sqrt.f64 2) (*.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2))) -1/16 2)) (sqrt.f64 (+.f64 1/2 (fma.f64 (cos.f64 y) (-.f64 3/2 (sqrt.f64 5/4)) (sqrt.f64 5/4))))) (sqrt.f64 (+.f64 1/2 (fma.f64 (cos.f64 y) (-.f64 3/2 (sqrt.f64 5/4)) (sqrt.f64 5/4)))))
(/.f64 (/.f64 (.f64 1/3 (fma.f64 (.f64 (sqrt.f64 2) (*.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2))) -1/16 2)) (pow.f64 (cbrt.f64 (+.f64 1/2 (fma.f64 (cos.f64 y) (-.f64 3/2 (sqrt.f64 5/4)) (sqrt.f64 5/4)))) 2)) (cbrt.f64 (+.f64 1/2 (fma.f64 (cos.f64 y) (-.f64 3/2 (sqrt.f64 5/4)) (sqrt.f64 5/4)))))
(/.f64 (neg.f64 (.f64 1/3 (fma.f64 (.f64 (sqrt.f64 2) (*.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2))) -1/16 2))) (+.f64 -1/2 (neg.f64 (fma.f64 (cos.f64 y) (-.f64 3/2 (sqrt.f64 5/4)) (sqrt.f64 5/4)))))
(pow.f64 (.f64 1/3 (/.f64 (fma.f64 (.f64 (sqrt.f64 2) (*.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2))) -1/16 2) (+.f64 1/2 (fma.f64 (cos.f64 y) (-.f64 3/2 (sqrt.f64 5/4)) (sqrt.f64 5/4))))) 1)
(pow.f64 (sqrt.f64 (.f64 1/3 (/.f64 (fma.f64 (.f64 (sqrt.f64 2) (*.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2))) -1/16 2) (+.f64 1/2 (fma.f64 (cos.f64 y) (-.f64 3/2 (sqrt.f64 5/4)) (sqrt.f64 5/4)))))) 2)
(pow.f64 (cbrt.f64 (.f64 1/3 (/.f64 (fma.f64 (.f64 (sqrt.f64 2) (*.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2))) -1/16 2) (+.f64 1/2 (fma.f64 (cos.f64 y) (-.f64 3/2 (sqrt.f64 5/4)) (sqrt.f64 5/4)))))) 3)
(pow.f64 (pow.f64 (.f64 1/3 (/.f64 (fma.f64 (.f64 (sqrt.f64 2) (*.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2))) -1/16 2) (+.f64 1/2 (fma.f64 (cos.f64 y) (-.f64 3/2 (sqrt.f64 5/4)) (sqrt.f64 5/4))))) 3) 1/3)
(sqrt.f64 (pow.f64 (.f64 1/3 (/.f64 (fma.f64 (.f64 (sqrt.f64 2) (*.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2))) -1/16 2) (+.f64 1/2 (fma.f64 (cos.f64 y) (-.f64 3/2 (sqrt.f64 5/4)) (sqrt.f64 5/4))))) 2))
(log.f64 (pow.f64 (exp.f64 1/3) (/.f64 (fma.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2))) -1/16 2) (+.f64 1/2 (fma.f64 (cos.f64 y) (-.f64 3/2 (sqrt.f64 5/4)) (sqrt.f64 5/4))))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 1/3 (/.f64 (fma.f64 (.f64 (sqrt.f64 2) (*.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2))) -1/16 2) (+.f64 1/2 (fma.f64 (cos.f64 y) (-.f64 3/2 (sqrt.f64 5/4)) (sqrt.f64 5/4))))))))
(cbrt.f64 (pow.f64 (.f64 1/3 (/.f64 (fma.f64 (.f64 (sqrt.f64 2) (*.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2))) -1/16 2) (+.f64 1/2 (fma.f64 (cos.f64 y) (-.f64 3/2 (sqrt.f64 5/4)) (sqrt.f64 5/4))))) 3))
(expm1.f64 (log1p.f64 (.f64 1/3 (/.f64 (fma.f64 (.f64 (sqrt.f64 2) (*.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2))) -1/16 2) (+.f64 1/2 (fma.f64 (cos.f64 y) (-.f64 3/2 (sqrt.f64 5/4)) (sqrt.f64 5/4)))))))
(exp.f64 (log.f64 (.f64 1/3 (/.f64 (fma.f64 (.f64 (sqrt.f64 2) (*.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2))) -1/16 2) (+.f64 1/2 (fma.f64 (cos.f64 y) (-.f64 3/2 (sqrt.f64 5/4)) (sqrt.f64 5/4)))))))
(exp.f64 (.f64 (log.f64 (.f64 1/3 (/.f64 (fma.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2))) -1/16 2) (+.f64 1/2 (fma.f64 (cos.f64 y) (-.f64 3/2 (sqrt.f64 5/4)) (sqrt.f64 5/4)))))) 1))
(log1p.f64 (expm1.f64 (.f64 1/3 (/.f64 (fma.f64 (.f64 (sqrt.f64 2) (*.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2))) -1/16 2) (+.f64 1/2 (fma.f64 (cos.f64 y) (-.f64 3/2 (sqrt.f64 5/4)) (sqrt.f64 5/4)))))))

Outputs
(*.f64 1/2 (pow.f64 y 2))
(.f64 1/2 (.f64 y y))
(+.f64 (.f64 1/2 (pow.f64 y 2)) (.f64 -1/24 (pow.f64 y 4)))
(fma.f64 1/2 (.f64 y y) (.f64 -1/24 (pow.f64 y 4)))
(+.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))))
(+.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)))))
(.f64 1/2 (.f64 (sqrt.f64 2) (pow.f64 y 4)))
(.f64 1/2 (.f64 (pow.f64 y 4) (sqrt.f64 2)))
(.f64 (pow.f64 y 4) (.f64 1/2 (sqrt.f64 2)))
(+.f64 (.f64 -5/24 (.f64 (sqrt.f64 2) (pow.f64 y 6))) (.f64 1/2 (.f64 (sqrt.f64 2) (pow.f64 y 4))))
(fma.f64 -5/24 (.f64 (pow.f64 y 6) (sqrt.f64 2)) (.f64 1/2 (*.f64 (pow.f64 y 4) (sqrt.f64 2))))
(fma.f64 -5/24 (.f64 (pow.f64 y 6) (sqrt.f64 2)) (.f64 (pow.f64 y 4) (*.f64 1/2 (sqrt.f64 2))))
(.f64 (sqrt.f64 2) (+.f64 (.f64 (pow.f64 y 4) 1/2) (*.f64 (pow.f64 y 6) -5/24)))
(+.f64 (.f64 -5/24 (.f64 (sqrt.f64 2) (pow.f64 y 6))) (+.f64 (.f64 3/80 (.f64 (sqrt.f64 2) (pow.f64 y 8))) (.f64 1/2 (.f64 (sqrt.f64 2) (pow.f64 y 4)))))
(fma.f64 -5/24 (.f64 (pow.f64 y 6) (sqrt.f64 2)) (fma.f64 3/80 (.f64 (pow.f64 y 8) (sqrt.f64 2)) (.f64 1/2 (.f64 (pow.f64 y 4) (sqrt.f64 2)))))
(fma.f64 -5/24 (.f64 (pow.f64 y 6) (sqrt.f64 2)) (fma.f64 3/80 (.f64 (pow.f64 y 8) (sqrt.f64 2)) (.f64 (pow.f64 y 4) (.f64 1/2 (sqrt.f64 2)))))
(fma.f64 -5/24 (.f64 (pow.f64 y 6) (sqrt.f64 2)) (.f64 (sqrt.f64 2) (+.f64 (.f64 (pow.f64 y 4) 1/2) (.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 -95/24192 (*.f64 (sqrt.f64 2) (pow.f64 y 10))))))
(+.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 (pow.f64 y 4) 1/2) (.f64 (pow.f64 y 6) -5/24))) (.f64 (sqrt.f64 2) (+.f64 (.f64 (pow.f64 y 8) 3/80) (.f64 (pow.f64 y 10) -95/24192))))
1/3
(+.f64 1/3 (.f64 1/12 (.f64 (pow.f64 y 2) (-.f64 3/2 (*.f64 1/2 (sqrt.f64 5))))))
(+.f64 1/3 (.f64 1/12 (.f64 (.f64 y y) (-.f64 3/2 (.f64 1/2 (sqrt.f64 5))))))
(fma.f64 1/12 (.f64 (.f64 y y) (-.f64 3/2 (*.f64 1/2 (sqrt.f64 5)))) 1/3)
(fma.f64 1/12 (.f64 (.f64 (-.f64 3/2 (*.f64 1/2 (sqrt.f64 5))) y) y) 1/3)
(+.f64 1/3 (+.f64 (.f64 1/3 (.f64 (-.f64 (.f64 -1/64 (sqrt.f64 2)) (+.f64 (.f64 1/48 (-.f64 3/2 (.f64 1/2 (sqrt.f64 5)))) (.f64 -1/16 (pow.f64 (-.f64 3/2 (.f64 1/2 (sqrt.f64 5))) 2)))) (pow.f64 y 4))) (.f64 1/12 (.f64 (pow.f64 y 2) (-.f64 3/2 (.f64 1/2 (sqrt.f64 5)))))))
(+.f64 1/3 (fma.f64 1/3 (.f64 (pow.f64 y 4) (-.f64 (.f64 (sqrt.f64 2) -1/64) (fma.f64 1/48 (-.f64 3/2 (.f64 1/2 (sqrt.f64 5))) (.f64 -1/16 (pow.f64 (-.f64 3/2 (.f64 1/2 (sqrt.f64 5))) 2))))) (.f64 1/12 (.f64 (.f64 y y) (-.f64 3/2 (*.f64 1/2 (sqrt.f64 5)))))))
(+.f64 1/3 (fma.f64 1/3 (.f64 (pow.f64 y 4) (-.f64 (.f64 (sqrt.f64 2) -1/64) (fma.f64 (-.f64 3/2 (.f64 1/2 (sqrt.f64 5))) 1/48 (.f64 -1/16 (pow.f64 (-.f64 3/2 (.f64 1/2 (sqrt.f64 5))) 2))))) (.f64 (.f64 y y) (.f64 (-.f64 3/2 (*.f64 1/2 (sqrt.f64 5))) 1/12))))
(+.f64 1/3 (fma.f64 1/3 (.f64 (pow.f64 y 4) (-.f64 (.f64 (sqrt.f64 2) -1/64) (.f64 (-.f64 3/2 (.f64 1/2 (sqrt.f64 5))) (+.f64 1/48 (+.f64 -3/32 (.f64 (.f64 (sqrt.f64 5) -1/2) -1/16)))))) (.f64 1/12 (.f64 (.f64 (-.f64 3/2 (.f64 1/2 (sqrt.f64 5))) y) y))))
(+.f64 1/3 (+.f64 (.f64 1/3 (.f64 (pow.f64 y 6) (-.f64 (.f64 5/768 (sqrt.f64 2)) (+.f64 (.f64 -1/4 (.f64 (-.f64 (.f64 -1/64 (sqrt.f64 2)) (+.f64 (.f64 1/48 (-.f64 3/2 (.f64 1/2 (sqrt.f64 5)))) (.f64 -1/16 (pow.f64 (-.f64 3/2 (.f64 1/2 (sqrt.f64 5))) 2)))) (-.f64 3/2 (.f64 1/2 (sqrt.f64 5))))) (+.f64 (.f64 1/192 (pow.f64 (-.f64 3/2 (.f64 1/2 (sqrt.f64 5))) 2)) (.f64 -1/1440 (-.f64 3/2 (.f64 1/2 (sqrt.f64 5))))))))) (+.f64 (.f64 1/3 (.f64 (-.f64 (.f64 -1/64 (sqrt.f64 2)) (+.f64 (.f64 1/48 (-.f64 3/2 (.f64 1/2 (sqrt.f64 5)))) (.f64 -1/16 (pow.f64 (-.f64 3/2 (.f64 1/2 (sqrt.f64 5))) 2)))) (pow.f64 y 4))) (.f64 1/12 (.f64 (pow.f64 y 2) (-.f64 3/2 (*.f64 1/2 (sqrt.f64 5))))))))
(+.f64 1/3 (fma.f64 1/3 (.f64 (pow.f64 y 6) (-.f64 (.f64 (sqrt.f64 2) 5/768) (fma.f64 -1/4 (.f64 (-.f64 3/2 (.f64 1/2 (sqrt.f64 5))) (-.f64 (.f64 (sqrt.f64 2) -1/64) (fma.f64 1/48 (-.f64 3/2 (.f64 1/2 (sqrt.f64 5))) (.f64 -1/16 (pow.f64 (-.f64 3/2 (.f64 1/2 (sqrt.f64 5))) 2))))) (fma.f64 1/192 (pow.f64 (-.f64 3/2 (.f64 1/2 (sqrt.f64 5))) 2) (.f64 (-.f64 3/2 (.f64 1/2 (sqrt.f64 5))) -1/1440))))) (fma.f64 1/3 (.f64 (pow.f64 y 4) (-.f64 (.f64 (sqrt.f64 2) -1/64) (fma.f64 1/48 (-.f64 3/2 (.f64 1/2 (sqrt.f64 5))) (.f64 -1/16 (pow.f64 (-.f64 3/2 (.f64 1/2 (sqrt.f64 5))) 2))))) (.f64 1/12 (.f64 (.f64 y y) (-.f64 3/2 (.f64 1/2 (sqrt.f64 5))))))))
(+.f64 (.f64 1/3 (+.f64 (.f64 (pow.f64 y 6) (-.f64 (.f64 (sqrt.f64 2) 5/768) (fma.f64 -1/4 (.f64 (-.f64 3/2 (.f64 1/2 (sqrt.f64 5))) (-.f64 (.f64 (sqrt.f64 2) -1/64) (fma.f64 (-.f64 3/2 (.f64 1/2 (sqrt.f64 5))) 1/48 (.f64 -1/16 (pow.f64 (-.f64 3/2 (.f64 1/2 (sqrt.f64 5))) 2))))) (fma.f64 (pow.f64 (-.f64 3/2 (.f64 1/2 (sqrt.f64 5))) 2) 1/192 (.f64 (-.f64 3/2 (.f64 1/2 (sqrt.f64 5))) -1/1440))))) (.f64 (pow.f64 y 4) (-.f64 (.f64 (sqrt.f64 2) -1/64) (fma.f64 (-.f64 3/2 (.f64 1/2 (sqrt.f64 5))) 1/48 (.f64 -1/16 (pow.f64 (-.f64 3/2 (.f64 1/2 (sqrt.f64 5))) 2))))))) (fma.f64 1/12 (.f64 (.f64 y y) (-.f64 3/2 (.f64 1/2 (sqrt.f64 5)))) 1/3))
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(fabs.f64 (.f64 (fma.f64 -1/16 (.f64 (sqrt.f64 2) (*.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2))) 2) (/.f64 1/3 (+.f64 1/2 (fma.f64 (cos.f64 y) (-.f64 3/2 (sqrt.f64 5/4)) (sqrt.f64 5/4))))))
(log.f64 (pow.f64 (exp.f64 1/3) (/.f64 (fma.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2))) -1/16 2) (+.f64 1/2 (fma.f64 (cos.f64 y) (-.f64 3/2 (sqrt.f64 5/4)) (sqrt.f64 5/4))))))
(.f64 (/.f64 1/3 (+.f64 1/2 (fma.f64 (cos.f64 y) (-.f64 3/2 (sqrt.f64 5/4)) (sqrt.f64 5/4)))) (fma.f64 (.f64 (sqrt.f64 2) (*.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2))) -1/16 2))
(.f64 (fma.f64 -1/16 (.f64 (-.f64 1 (cos.f64 y)) (*.f64 (sqrt.f64 2) (pow.f64 (sin.f64 y) 2))) 2) (/.f64 1/3 (+.f64 1/2 (fma.f64 (cos.f64 y) (-.f64 3/2 (sqrt.f64 5/4)) (sqrt.f64 5/4)))))
(.f64 (fma.f64 -1/16 (.f64 (sqrt.f64 2) (*.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2))) 2) (/.f64 1/3 (+.f64 1/2 (fma.f64 (cos.f64 y) (-.f64 3/2 (sqrt.f64 5/4)) (sqrt.f64 5/4)))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 1/3 (/.f64 (fma.f64 (.f64 (sqrt.f64 2) (*.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2))) -1/16 2) (+.f64 1/2 (fma.f64 (cos.f64 y) (-.f64 3/2 (sqrt.f64 5/4)) (sqrt.f64 5/4))))))))
(.f64 (/.f64 1/3 (+.f64 1/2 (fma.f64 (cos.f64 y) (-.f64 3/2 (sqrt.f64 5/4)) (sqrt.f64 5/4)))) (fma.f64 (.f64 (sqrt.f64 2) (*.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2))) -1/16 2))
(.f64 (fma.f64 -1/16 (.f64 (-.f64 1 (cos.f64 y)) (*.f64 (sqrt.f64 2) (pow.f64 (sin.f64 y) 2))) 2) (/.f64 1/3 (+.f64 1/2 (fma.f64 (cos.f64 y) (-.f64 3/2 (sqrt.f64 5/4)) (sqrt.f64 5/4)))))
(.f64 (fma.f64 -1/16 (.f64 (sqrt.f64 2) (*.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2))) 2) (/.f64 1/3 (+.f64 1/2 (fma.f64 (cos.f64 y) (-.f64 3/2 (sqrt.f64 5/4)) (sqrt.f64 5/4)))))
(cbrt.f64 (pow.f64 (.f64 1/3 (/.f64 (fma.f64 (.f64 (sqrt.f64 2) (*.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2))) -1/16 2) (+.f64 1/2 (fma.f64 (cos.f64 y) (-.f64 3/2 (sqrt.f64 5/4)) (sqrt.f64 5/4))))) 3))
(.f64 (/.f64 1/3 (+.f64 1/2 (fma.f64 (cos.f64 y) (-.f64 3/2 (sqrt.f64 5/4)) (sqrt.f64 5/4)))) (fma.f64 (.f64 (sqrt.f64 2) (*.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2))) -1/16 2))
(.f64 (fma.f64 -1/16 (.f64 (-.f64 1 (cos.f64 y)) (*.f64 (sqrt.f64 2) (pow.f64 (sin.f64 y) 2))) 2) (/.f64 1/3 (+.f64 1/2 (fma.f64 (cos.f64 y) (-.f64 3/2 (sqrt.f64 5/4)) (sqrt.f64 5/4)))))
(.f64 (fma.f64 -1/16 (.f64 (sqrt.f64 2) (*.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2))) 2) (/.f64 1/3 (+.f64 1/2 (fma.f64 (cos.f64 y) (-.f64 3/2 (sqrt.f64 5/4)) (sqrt.f64 5/4)))))
(expm1.f64 (log1p.f64 (.f64 1/3 (/.f64 (fma.f64 (.f64 (sqrt.f64 2) (*.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2))) -1/16 2) (+.f64 1/2 (fma.f64 (cos.f64 y) (-.f64 3/2 (sqrt.f64 5/4)) (sqrt.f64 5/4)))))))
(.f64 (/.f64 1/3 (+.f64 1/2 (fma.f64 (cos.f64 y) (-.f64 3/2 (sqrt.f64 5/4)) (sqrt.f64 5/4)))) (fma.f64 (.f64 (sqrt.f64 2) (*.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2))) -1/16 2))
(.f64 (fma.f64 -1/16 (.f64 (-.f64 1 (cos.f64 y)) (*.f64 (sqrt.f64 2) (pow.f64 (sin.f64 y) 2))) 2) (/.f64 1/3 (+.f64 1/2 (fma.f64 (cos.f64 y) (-.f64 3/2 (sqrt.f64 5/4)) (sqrt.f64 5/4)))))
(.f64 (fma.f64 -1/16 (.f64 (sqrt.f64 2) (*.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2))) 2) (/.f64 1/3 (+.f64 1/2 (fma.f64 (cos.f64 y) (-.f64 3/2 (sqrt.f64 5/4)) (sqrt.f64 5/4)))))
(exp.f64 (log.f64 (.f64 1/3 (/.f64 (fma.f64 (.f64 (sqrt.f64 2) (*.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2))) -1/16 2) (+.f64 1/2 (fma.f64 (cos.f64 y) (-.f64 3/2 (sqrt.f64 5/4)) (sqrt.f64 5/4)))))))
(.f64 (/.f64 1/3 (+.f64 1/2 (fma.f64 (cos.f64 y) (-.f64 3/2 (sqrt.f64 5/4)) (sqrt.f64 5/4)))) (fma.f64 (.f64 (sqrt.f64 2) (*.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2))) -1/16 2))
(.f64 (fma.f64 -1/16 (.f64 (-.f64 1 (cos.f64 y)) (*.f64 (sqrt.f64 2) (pow.f64 (sin.f64 y) 2))) 2) (/.f64 1/3 (+.f64 1/2 (fma.f64 (cos.f64 y) (-.f64 3/2 (sqrt.f64 5/4)) (sqrt.f64 5/4)))))
(.f64 (fma.f64 -1/16 (.f64 (sqrt.f64 2) (*.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2))) 2) (/.f64 1/3 (+.f64 1/2 (fma.f64 (cos.f64 y) (-.f64 3/2 (sqrt.f64 5/4)) (sqrt.f64 5/4)))))
(exp.f64 (.f64 (log.f64 (.f64 1/3 (/.f64 (fma.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2))) -1/16 2) (+.f64 1/2 (fma.f64 (cos.f64 y) (-.f64 3/2 (sqrt.f64 5/4)) (sqrt.f64 5/4)))))) 1))
(.f64 (/.f64 1/3 (+.f64 1/2 (fma.f64 (cos.f64 y) (-.f64 3/2 (sqrt.f64 5/4)) (sqrt.f64 5/4)))) (fma.f64 (.f64 (sqrt.f64 2) (*.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2))) -1/16 2))
(.f64 (fma.f64 -1/16 (.f64 (-.f64 1 (cos.f64 y)) (*.f64 (sqrt.f64 2) (pow.f64 (sin.f64 y) 2))) 2) (/.f64 1/3 (+.f64 1/2 (fma.f64 (cos.f64 y) (-.f64 3/2 (sqrt.f64 5/4)) (sqrt.f64 5/4)))))
(.f64 (fma.f64 -1/16 (.f64 (sqrt.f64 2) (*.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2))) 2) (/.f64 1/3 (+.f64 1/2 (fma.f64 (cos.f64 y) (-.f64 3/2 (sqrt.f64 5/4)) (sqrt.f64 5/4)))))
(log1p.f64 (expm1.f64 (.f64 1/3 (/.f64 (fma.f64 (.f64 (sqrt.f64 2) (*.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2))) -1/16 2) (+.f64 1/2 (fma.f64 (cos.f64 y) (-.f64 3/2 (sqrt.f64 5/4)) (sqrt.f64 5/4)))))))
(.f64 (/.f64 1/3 (+.f64 1/2 (fma.f64 (cos.f64 y) (-.f64 3/2 (sqrt.f64 5/4)) (sqrt.f64 5/4)))) (fma.f64 (.f64 (sqrt.f64 2) (*.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2))) -1/16 2))
(.f64 (fma.f64 -1/16 (.f64 (-.f64 1 (cos.f64 y)) (*.f64 (sqrt.f64 2) (pow.f64 (sin.f64 y) 2))) 2) (/.f64 1/3 (+.f64 1/2 (fma.f64 (cos.f64 y) (-.f64 3/2 (sqrt.f64 5/4)) (sqrt.f64 5/4)))))
(.f64 (fma.f64 -1/16 (.f64 (sqrt.f64 2) (*.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2))) 2) (/.f64 1/3 (+.f64 1/2 (fma.f64 (cos.f64 y) (-.f64 3/2 (sqrt.f64 5/4)) (sqrt.f64 5/4)))))

localize143.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.3b	(.f64 (cos.f64 x) (-.f64 (.f64 1/2 (sqrt.f64 5)) 1/2))
	0.4b	(+.f64 (.f64 (-.f64 3/2 (.f64 1/2 (sqrt.f64 5))) (cos.f64 y)) (.f64 (cos.f64 x) (-.f64 (.f64 1/2 (sqrt.f64 5)) 1/2)))
	1.0b	(-.f64 3/2 (*.f64 1/2 (sqrt.f64 5)))
✓	13.2b	(fma.f64 1/24 (pow.f64 x 4) (.f64 -1/2 (.f64 x x)))

Compiler

Compiled 287 to 214 computations (25.4% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(fma.f64 1/24 (pow.f64 x 4) (.f64 -1/2 (.f64 x x)))
0.0ms	x	@	-inf	(fma.f64 1/24 (pow.f64 x 4) (.f64 -1/2 (.f64 x x)))
0.0ms	x	@	0	(fma.f64 1/24 (pow.f64 x 4) (.f64 -1/2 (.f64 x x)))

rewrite59.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1890×	`add-sqr-sqrt`
1860×	`*-un-lft-identity`
1740×	`add-cube-cbrt`
1728×	`add-cbrt-cube`
204×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	27
1	228	27
2	2489	27

Stop Event

1×	node limit

Counts

1 → 23

Calls

Call 1

Inputs
(fma.f64 1/24 (pow.f64 x 4) (.f64 -1/2 (.f64 x x)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (*.f64 x -1/2)) (*.f64 1/24 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/24 (pow.f64 x 4)) (*.f64 x (*.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 1/24 (pow.f64 x 4)) 1) (*.f64 x (*.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 1/24 (pow.f64 x 4) (*.f64 x (*.f64 x -1/2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 1/24 (pow.f64 x 4) (*.f64 x (*.f64 x -1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 1/24 (pow.f64 x 4) (*.f64 x (*.f64 x -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 1/24 (pow.f64 x 4) (*.f64 x (*.f64 x -1/2)))) (sqrt.f64 (fma.f64 1/24 (pow.f64 x 4) (*.f64 x (*.f64 x -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 1/24 (pow.f64 x 4) (*.f64 x (*.f64 x -1/2)))) (pow.f64 (cbrt.f64 (fma.f64 1/24 (pow.f64 x 4) (*.f64 x (*.f64 x -1/2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 1/24 (pow.f64 x 4) (*.f64 x (*.f64 x -1/2)))) 2) (cbrt.f64 (fma.f64 1/24 (pow.f64 x 4) (*.f64 x (*.f64 x -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 1/24 (pow.f64 x 4)) (*.f64 1/24 (pow.f64 x 4))) (*.f64 (pow.f64 x 4) 1/4)) (-.f64 (*.f64 1/24 (pow.f64 x 4)) (*.f64 x (*.f64 x -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 1/24 (pow.f64 x 4)) 3) (pow.f64 (*.f64 x (*.f64 x -1/2)) 3)) (+.f64 (*.f64 (*.f64 1/24 (pow.f64 x 4)) (*.f64 1/24 (pow.f64 x 4))) (-.f64 (*.f64 (pow.f64 x 4) 1/4) (*.f64 (*.f64 1/24 (pow.f64 x 4)) (*.f64 x (*.f64 x -1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 1/24 (pow.f64 x 4) (*.f64 x (*.f64 x -1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 1/24 (pow.f64 x 4) (*.f64 x (*.f64 x -1/2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 1/24 (pow.f64 x 4) (*.f64 x (*.f64 x -1/2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 1/24 (pow.f64 x 4) (*.f64 x (*.f64 x -1/2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 1/24 (pow.f64 x 4) (*.f64 x (*.f64 x -1/2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 1/24 (pow.f64 x 4) (*.f64 x (*.f64 x -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/24 (pow.f64 x 4) (*.f64 x (*.f64 x -1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 1/24 (pow.f64 x 4) (*.f64 x (*.f64 x -1/2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 1/24 (pow.f64 x 4) (*.f64 x (*.f64 x -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 1/24 (pow.f64 x 4) (*.f64 x (*.f64 x -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 1/24 (pow.f64 x 4) (*.f64 x (*.f64 x -1/2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 1/24 (pow.f64 x 4) (*.f64 x (*.f64 x -1/2)))))))))

simplify50.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1078×	`distribute-lft-in`
990×	`distribute-rgt-in`
902×	`times-frac`
684×	`*-commutative`
566×	`associate-/l*`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	68	1055
1	176	1011
2	803	1003
3	2613	991

Stop Event

1×	node limit

Counts

35 → 38

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 -1/2 (pow.f64 x 2)))
(+.f64 (.f64 1/24 (pow.f64 x 4)) (.f64 -1/2 (pow.f64 x 2)))
(*.f64 1/24 (pow.f64 x 4))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 1/24 (pow.f64 x 4)))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 1/24 (pow.f64 x 4)))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 1/24 (pow.f64 x 4)))
(*.f64 1/24 (pow.f64 x 4))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 1/24 (pow.f64 x 4)))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 1/24 (pow.f64 x 4)))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 1/24 (pow.f64 x 4)))
(+.f64 (.f64 x (.f64 x -1/2)) (*.f64 1/24 (pow.f64 x 4)))
(+.f64 (.f64 1/24 (pow.f64 x 4)) (.f64 x (*.f64 x -1/2)))
(+.f64 (.f64 (.f64 1/24 (pow.f64 x 4)) 1) (.f64 x (.f64 x -1/2)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 1/24 (pow.f64 x 4) (.f64 x (.f64 x -1/2))))) 1)
(.f64 (fma.f64 1/24 (pow.f64 x 4) (.f64 x (*.f64 x -1/2))) 1)
(.f64 1 (fma.f64 1/24 (pow.f64 x 4) (.f64 x (*.f64 x -1/2))))
(.f64 (sqrt.f64 (fma.f64 1/24 (pow.f64 x 4) (.f64 x (.f64 x -1/2)))) (sqrt.f64 (fma.f64 1/24 (pow.f64 x 4) (.f64 x (*.f64 x -1/2)))))
(.f64 (cbrt.f64 (fma.f64 1/24 (pow.f64 x 4) (.f64 x (.f64 x -1/2)))) (pow.f64 (cbrt.f64 (fma.f64 1/24 (pow.f64 x 4) (.f64 x (*.f64 x -1/2)))) 2))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 1/24 (pow.f64 x 4) (.f64 x (.f64 x -1/2)))) 2) (cbrt.f64 (fma.f64 1/24 (pow.f64 x 4) (.f64 x (*.f64 x -1/2)))))
(/.f64 (-.f64 (.f64 (.f64 1/24 (pow.f64 x 4)) (.f64 1/24 (pow.f64 x 4))) (.f64 (pow.f64 x 4) 1/4)) (-.f64 (.f64 1/24 (pow.f64 x 4)) (.f64 x (*.f64 x -1/2))))
(/.f64 (+.f64 (pow.f64 (.f64 1/24 (pow.f64 x 4)) 3) (pow.f64 (.f64 x (.f64 x -1/2)) 3)) (+.f64 (.f64 (.f64 1/24 (pow.f64 x 4)) (.f64 1/24 (pow.f64 x 4))) (-.f64 (.f64 (pow.f64 x 4) 1/4) (.f64 (.f64 1/24 (pow.f64 x 4)) (.f64 x (*.f64 x -1/2))))))
(pow.f64 (fma.f64 1/24 (pow.f64 x 4) (.f64 x (.f64 x -1/2))) 1)
(pow.f64 (sqrt.f64 (fma.f64 1/24 (pow.f64 x 4) (.f64 x (.f64 x -1/2)))) 2)
(pow.f64 (cbrt.f64 (fma.f64 1/24 (pow.f64 x 4) (.f64 x (.f64 x -1/2)))) 3)
(pow.f64 (pow.f64 (fma.f64 1/24 (pow.f64 x 4) (.f64 x (.f64 x -1/2))) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 1/24 (pow.f64 x 4) (.f64 x (.f64 x -1/2))) 2))
(log.f64 (exp.f64 (fma.f64 1/24 (pow.f64 x 4) (.f64 x (.f64 x -1/2)))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/24 (pow.f64 x 4) (.f64 x (.f64 x -1/2))))))
(cbrt.f64 (pow.f64 (fma.f64 1/24 (pow.f64 x 4) (.f64 x (.f64 x -1/2))) 3))
(expm1.f64 (log1p.f64 (fma.f64 1/24 (pow.f64 x 4) (.f64 x (.f64 x -1/2)))))
(exp.f64 (log.f64 (fma.f64 1/24 (pow.f64 x 4) (.f64 x (.f64 x -1/2)))))
(exp.f64 (.f64 (log.f64 (fma.f64 1/24 (pow.f64 x 4) (.f64 x (*.f64 x -1/2)))) 1))
(log1p.f64 (expm1.f64 (fma.f64 1/24 (pow.f64 x 4) (.f64 x (.f64 x -1/2)))))

Outputs
(*.f64 -1/2 (pow.f64 x 2))
(.f64 -1/2 (.f64 x x))
(+.f64 (.f64 1/24 (pow.f64 x 4)) (.f64 -1/2 (pow.f64 x 2)))
(fma.f64 1/24 (pow.f64 x 4) (.f64 -1/2 (.f64 x x)))
(fma.f64 -1/2 (.f64 x x) (.f64 1/24 (pow.f64 x 4)))
(+.f64 (.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 -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 1/24 (pow.f64 x 4))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 1/24 (pow.f64 x 4)))
(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 -1/2 (pow.f64 x 2)) (.f64 1/24 (pow.f64 x 4)))
(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 -1/2 (pow.f64 x 2)) (.f64 1/24 (pow.f64 x 4)))
(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 1/24 (pow.f64 x 4))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 1/24 (pow.f64 x 4)))
(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 -1/2 (pow.f64 x 2)) (.f64 1/24 (pow.f64 x 4)))
(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 -1/2 (pow.f64 x 2)) (.f64 1/24 (pow.f64 x 4)))
(fma.f64 1/24 (pow.f64 x 4) (.f64 -1/2 (.f64 x x)))
(fma.f64 -1/2 (.f64 x x) (.f64 1/24 (pow.f64 x 4)))
(+.f64 (.f64 x (.f64 x -1/2)) (*.f64 1/24 (pow.f64 x 4)))
(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 x (*.f64 x -1/2)))
(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 (.f64 1/24 (pow.f64 x 4)) 1) (.f64 x (.f64 x -1/2)))
(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 (exp.f64 (log1p.f64 (fma.f64 1/24 (pow.f64 x 4) (.f64 x (.f64 x -1/2))))) 1)
(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 (fma.f64 1/24 (pow.f64 x 4) (.f64 x (*.f64 x -1/2))) 1)
(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 1 (fma.f64 1/24 (pow.f64 x 4) (.f64 x (*.f64 x -1/2))))
(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 (sqrt.f64 (fma.f64 1/24 (pow.f64 x 4) (.f64 x (.f64 x -1/2)))) (sqrt.f64 (fma.f64 1/24 (pow.f64 x 4) (.f64 x (*.f64 x -1/2)))))
(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 (cbrt.f64 (fma.f64 1/24 (pow.f64 x 4) (.f64 x (.f64 x -1/2)))) (pow.f64 (cbrt.f64 (fma.f64 1/24 (pow.f64 x 4) (.f64 x (*.f64 x -1/2)))) 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 (pow.f64 (cbrt.f64 (fma.f64 1/24 (pow.f64 x 4) (.f64 x (.f64 x -1/2)))) 2) (cbrt.f64 (fma.f64 1/24 (pow.f64 x 4) (.f64 x (*.f64 x -1/2)))))
(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 (.f64 (.f64 1/24 (pow.f64 x 4)) (.f64 1/24 (pow.f64 x 4))) (.f64 (pow.f64 x 4) 1/4)) (-.f64 (.f64 1/24 (pow.f64 x 4)) (.f64 x (*.f64 x -1/2))))
(/.f64 (-.f64 (.f64 1/576 (.f64 (pow.f64 x 4) (pow.f64 x 4))) (.f64 (pow.f64 x 4) 1/4)) (-.f64 (.f64 1/24 (pow.f64 x 4)) (.f64 -1/2 (.f64 x x))))
(/.f64 (fma.f64 1/576 (pow.f64 x 8) (.f64 (pow.f64 x 4) -1/4)) (fma.f64 1/24 (pow.f64 x 4) (.f64 (*.f64 x x) 1/2)))
(/.f64 (pow.f64 x 4) (/.f64 (fma.f64 x (.f64 x 1/2) (.f64 1/24 (pow.f64 x 4))) (fma.f64 (pow.f64 x 4) 1/576 -1/4)))
(/.f64 (fma.f64 (pow.f64 x 4) -1/4 (.f64 1/576 (pow.f64 x 8))) (.f64 (.f64 x x) (fma.f64 (.f64 x x) 1/24 1/2)))
(/.f64 (+.f64 (pow.f64 (.f64 1/24 (pow.f64 x 4)) 3) (pow.f64 (.f64 x (.f64 x -1/2)) 3)) (+.f64 (.f64 (.f64 1/24 (pow.f64 x 4)) (.f64 1/24 (pow.f64 x 4))) (-.f64 (.f64 (pow.f64 x 4) 1/4) (.f64 (.f64 1/24 (pow.f64 x 4)) (.f64 x (*.f64 x -1/2))))))
(/.f64 (+.f64 (pow.f64 (.f64 1/24 (pow.f64 x 4)) 3) (pow.f64 (.f64 -1/2 (.f64 x x)) 3)) (+.f64 (.f64 1/576 (.f64 (pow.f64 x 4) (pow.f64 x 4))) (-.f64 (.f64 (pow.f64 x 4) 1/4) (.f64 1/24 (.f64 (pow.f64 x 4) (.f64 -1/2 (.f64 x x)))))))
(/.f64 (fma.f64 1/13824 (pow.f64 (pow.f64 x 4) 3) (pow.f64 (.f64 -1/2 (.f64 x x)) 3)) (fma.f64 1/576 (pow.f64 x 8) (fma.f64 (pow.f64 x 4) 1/4 (.f64 (.f64 1/24 (pow.f64 x 4)) (.f64 (.f64 x x) 1/2)))))
(/.f64 (fma.f64 1/13824 (pow.f64 (.f64 x x) 6) (.f64 (pow.f64 (.f64 x x) 3) -1/8)) (.f64 (pow.f64 x 4) (-.f64 (fma.f64 (pow.f64 x 4) 1/576 1/4) (.f64 1/24 (.f64 -1/2 (*.f64 x x))))))
(/.f64 (.f64 (pow.f64 x 6) (+.f64 (.f64 1/13824 (pow.f64 x 6)) -1/8)) (fma.f64 (pow.f64 x 4) 1/4 (.f64 -1/24 (fma.f64 -1/2 (pow.f64 x 6) (.f64 (pow.f64 x 8) -1/24)))))
(pow.f64 (fma.f64 1/24 (pow.f64 x 4) (.f64 x (.f64 x -1/2))) 1)
(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)))
(pow.f64 (sqrt.f64 (fma.f64 1/24 (pow.f64 x 4) (.f64 x (.f64 x -1/2)))) 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)))
(pow.f64 (cbrt.f64 (fma.f64 1/24 (pow.f64 x 4) (.f64 x (.f64 x -1/2)))) 3)
(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)))
(pow.f64 (pow.f64 (fma.f64 1/24 (pow.f64 x 4) (.f64 x (.f64 x -1/2))) 3) 1/3)
(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)))
(sqrt.f64 (pow.f64 (fma.f64 1/24 (pow.f64 x 4) (.f64 x (.f64 x -1/2))) 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)))
(log.f64 (exp.f64 (fma.f64 1/24 (pow.f64 x 4) (.f64 x (.f64 x -1/2)))))
(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)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/24 (pow.f64 x 4) (.f64 x (.f64 x -1/2))))))
(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)))
(cbrt.f64 (pow.f64 (fma.f64 1/24 (pow.f64 x 4) (.f64 x (.f64 x -1/2))) 3))
(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)))
(expm1.f64 (log1p.f64 (fma.f64 1/24 (pow.f64 x 4) (.f64 x (.f64 x -1/2)))))
(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)))
(exp.f64 (log.f64 (fma.f64 1/24 (pow.f64 x 4) (.f64 x (.f64 x -1/2)))))
(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)))
(exp.f64 (.f64 (log.f64 (fma.f64 1/24 (pow.f64 x 4) (.f64 x (*.f64 x -1/2)))) 1))
(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)))
(log1p.f64 (expm1.f64 (fma.f64 1/24 (pow.f64 x 4) (.f64 x (.f64 x -1/2)))))
(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)))

localize113.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.4b	(.f64 (sqrt.f64 2) (.f64 -1/16 (sin.f64 y)))
	1.0b	(-.f64 3/2 (*.f64 1/2 (sqrt.f64 5)))
	1.4b	(-.f64 (cos.f64 x) (cos.f64 y))
	4.8b	(log.f64 (+.f64 1 (expm1.f64 (.f64 (sqrt.f64 2) (.f64 -1/16 (sin.f64 y))))))

Compiler

Compiled 280 to 200 computations (28.6% saved)

eval934.0ms (3.1%)

Compiler: Compiled 46939 to 35366 computations (24.7% saved)

prune346.0ms (1.1%)

Pruning

94 alts after pruning (88 fresh and 6 done)

	Pruned	Kept	Total
New	855	25	880
Fresh	10	63	73
Picked	1	0	1
Done	3	6	9
Total	869	94	963

Error

0.0b

Counts

963 → 94

Alt Table

Click to see full alt table

Status	Error	Program
	27.1b	(pow.f64 (sqrt.f64 (.f64 1/3 (/.f64 (fma.f64 (.f64 (sqrt.f64 2) (*.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2))) -1/16 2) (+.f64 1/2 (fma.f64 (cos.f64 y) (-.f64 3/2 (sqrt.f64 5/4)) (sqrt.f64 5/4)))))) 2)
	39.2b	(pow.f64 (cbrt.f64 (.f64 (fma.f64 (sqrt.f64 1/128) (.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1)) 2) 1/6)) 3)
	0.4b	(/.f64 (fma.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16)) (.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)) (-.f64 (cos.f64 x) (cos.f64 y)))) 2) (+.f64 (*.f64 (/.f64 (cos.f64 x) (-.f64 -1 (sqrt.f64 5))) -6) (fma.f64 (cos.f64 y) (/.f64 (-.f64 3 (sqrt.f64 5)) 2/3) 3)))
	0.4b	(/.f64 (fma.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16)) (.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)) (-.f64 (cos.f64 x) (cos.f64 y)))) 2) (+.f64 (.f64 (+.f64 (sqrt.f64 5) -1) (.f64 (cos.f64 x) 3/2)) (fma.f64 (cos.f64 y) (/.f64 (-.f64 3 (sqrt.f64 5)) 2/3) 3)))
✓	0.5b	(/.f64 (fma.f64 (sqrt.f64 2) (.f64 (+.f64 (sin.f64 y) (.f64 -1/16 (sin.f64 x))) (.f64 (+.f64 (sin.f64 x) (.f64 -1/16 (sin.f64 y))) (-.f64 (cos.f64 x) (cos.f64 y)))) 2) (fma.f64 (cos.f64 x) (/.f64 (+.f64 (sqrt.f64 5) -1) 2/3) (fma.f64 (cos.f64 y) (*.f64 3/2 (-.f64 3 (sqrt.f64 5))) 3)))
	0.6b	(/.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) (expm1.f64 (log1p.f64 (.f64 (+.f64 (sqrt.f64 5) -1) 3/2))) (fma.f64 (cos.f64 y) (.f64 3/2 (-.f64 3 (sqrt.f64 5))) 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 3/2 (.f64 (-.f64 3 (sqrt.f64 5)) (cos.f64 y))) (.f64 3/2 (*.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))))))
	39.0b	(/.f64 (+.f64 2 (.f64 (-.f64 1/2 (/.f64 (cos.f64 (+.f64 x x)) 2)) (.f64 (sqrt.f64 1/128) (+.f64 (cos.f64 x) -1)))) (+.f64 3 (*.f64 3/2 2)))
✓	0.5b	(/.f64 (+.f64 2 (.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 (sqrt.f64 2) (+.f64 (sin.f64 x) (.f64 (sin.f64 y) -1/16)))) 3) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (*.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
	0.5b	(/.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 1 (pow.f64 5 1/4)) (/.f64 (/.f64 2 (cos.f64 x)) (-.f64 (pow.f64 5 1/4) 1)))) (*.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
	1.2b	(/.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 (cos.f64 x) (pow.f64 (cbrt.f64 (+.f64 (.f64 (sqrt.f64 5) 1/2) -1/2)) 2)) (cbrt.f64 (-.f64 1 (sqrt.f64 5)))) (cbrt.f64 -2))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
	0.4b	(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (/.f64 4 (+.f64 (sqrt.f64 5) 3)) 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 (cos.f64 x) (/.f64 -2 (-.f64 -1 (sqrt.f64 5))))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
	25.0b	(/.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 1 (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
	33.2b	(/.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 (-.f64 (.f64 -1/2 (.f64 x x)) (cos.f64 y))))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
	27.0b	(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (sin.f64 y)) -1/16) (.f64 (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16)) (-.f64 (cos.f64 x) (cos.f64 y))))) (.f64 3 (+.f64 1 (-.f64 (+.f64 (.f64 1/2 (sqrt.f64 5)) (.f64 (-.f64 3/2 (.f64 1/2 (sqrt.f64 5))) (cos.f64 y))) 1/2))))
	22.0b	(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (sin.f64 x)) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
	0.5b	(/.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 (exp.f64 (log1p.f64 (/.f64 (cos.f64 y) (+.f64 (sqrt.f64 5/4) 3/2)))) (-.f64 1 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) -1/2)))))))
	0.4b	(/.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 y) (+.f64 (sqrt.f64 5/4) 3/2)) (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) 1/2))))))
	26.7b	(/.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 y) (+.f64 (sqrt.f64 5/4) 3/2)) (/.f64 1 (+.f64 (sqrt.f64 5/4) 1/2))))))
	0.4b	(/.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 y) (+.f64 (sqrt.f64 5/4) 3/2)) (.f64 (cos.f64 x) (-.f64 (.f64 1/2 (sqrt.f64 5)) 1/2))))))
	0.5b	(/.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 (sqrt.f64 5/4)))))))
	22.8b	(/.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) 1)))) (.f64 3 (+.f64 1 (+.f64 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) 1/2)) (*.f64 (cos.f64 y) (/.f64 1 (+.f64 3/2 (sqrt.f64 5/4))))))))
	22.8b	(/.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) 1)))) (.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)))))))
	25.0b	(/.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 1 (cos.f64 y))))) (.f64 3 (+.f64 1 (+.f64 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) 1/2)) (*.f64 (cos.f64 y) (/.f64 1 (+.f64 3/2 (sqrt.f64 5/4))))))))
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	44.6b	(.f64 1/3 (/.f64 (+.f64 2 (.f64 (sqrt.f64 2) (.f64 (.f64 (pow.f64 (sin.f64 x) 2) (.f64 1/24 (pow.f64 x 4))) -1/16))) (+.f64 1 (+.f64 (.f64 (-.f64 3/2 (.f64 1/2 (sqrt.f64 5))) (cos.f64 y)) (.f64 (cos.f64 x) (-.f64 (*.f64 1/2 (sqrt.f64 5)) 1/2))))))
	43.8b	(.f64 1/3 (/.f64 (+.f64 2 (.f64 (sqrt.f64 2) (.f64 (.f64 (pow.f64 (sin.f64 x) 2) (.f64 -1/2 (.f64 x x))) -1/16))) (+.f64 1 (+.f64 (.f64 (-.f64 3/2 (.f64 1/2 (sqrt.f64 5))) (cos.f64 y)) (.f64 (cos.f64 x) (-.f64 (.f64 1/2 (sqrt.f64 5)) 1/2))))))
	36.0b	(.f64 1/3 (/.f64 (+.f64 2 (.f64 (sqrt.f64 2) (.f64 (.f64 (pow.f64 (sin.f64 x) 2) (fabs.f64 (+.f64 (cos.f64 x) -1))) -1/16))) (+.f64 1 (+.f64 (.f64 (-.f64 3/2 (.f64 1/2 (sqrt.f64 5))) (cos.f64 y)) (.f64 (cos.f64 x) (-.f64 (.f64 1/2 (sqrt.f64 5)) 1/2))))))
	25.1b	(.f64 1/3 (/.f64 (+.f64 2 (.f64 -1/16 (.f64 (pow.f64 (sin.f64 y) 2) (.f64 (sqrt.f64 2) (-.f64 1 (cos.f64 y)))))) (+.f64 1 (+.f64 (.f64 (-.f64 3/2 (.f64 1/2 (sqrt.f64 5))) (cos.f64 y)) (.f64 (cos.f64 x) (-.f64 (.f64 1/2 (sqrt.f64 5)) 1/2))))))
	24.4b	(.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 (+.f64 5/2 (.f64 (cos.f64 x) (-.f64 (.f64 1/2 (sqrt.f64 5)) 1/2))) (*.f64 1/2 (sqrt.f64 5)))))
	22.8b	(log.f64 (exp.f64 (.f64 1/3 (/.f64 (+.f64 2 (.f64 (sqrt.f64 2) (.f64 (+.f64 (sin.f64 x) (.f64 (sin.f64 y) -1/16)) (.f64 (+.f64 (cos.f64 x) -1) (+.f64 (sin.f64 y) (.f64 (sin.f64 x) -1/16)))))) (+.f64 1 (fma.f64 (+.f64 3/2 (.f64 (sqrt.f64 5) -1/2)) (cos.f64 y) (.f64 (cos.f64 x) (fma.f64 1/2 (sqrt.f64 5) -1/2))))))))
	38.9b	1/3

Compiler

Compiled 3696 to 3101 computations (16.1% saved)

regimes333.0ms (1.1%)

Counts

151 → 1

Calls

Call 1

Inputs
1/3
(+.f64 1/3 (.f64 1/12 (.f64 (.f64 y y) (-.f64 3/2 (.f64 1/2 (sqrt.f64 5))))))
(+.f64 (sqrt.f64 (*.f64 (pow.f64 x 8) 1/18432)) 1/3)
(+.f64 (.f64 1/192 (.f64 (sqrt.f64 2) (pow.f64 x 4))) 1/3)
(+.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 x 4) 1/192)) 1/3)
(/.f64 (+.f64 2 (.f64 (sqrt.f64 2) (.f64 (pow.f64 x 4) 1/32))) (+.f64 3 (*.f64 3/2 2)))
(+.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 (sqrt.f64 2) 1/192)) (*.f64 x x)) 2) 1/3)
(/.f64 2/3 (+.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 2 (.f64 (-.f64 1/2 (/.f64 (cos.f64 (+.f64 x x)) 2)) (.f64 (sqrt.f64 1/128) (+.f64 (cos.f64 x) -1)))) (+.f64 3 (*.f64 3/2 2)))
(/.f64 (+.f64 2 (.f64 (.f64 -1/16 (sqrt.f64 2)) (.f64 (+.f64 (cos.f64 x) -1) (-.f64 1/2 (/.f64 (cos.f64 (+.f64 x x)) 2))))) (+.f64 3 (.f64 3/2 2)))
(+.f64 (.f64 1/192 (exp.f64 (log.f64 (.f64 (sqrt.f64 2) (pow.f64 x 4))))) 1/3)
(+.f64 (-.f64 (exp.f64 (log1p.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 x 4) 1/192)))) 1) 1/3)
(.f64 (-.f64 -2 (.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (sqrt.f64 1/128) (+.f64 (cos.f64 x) -1)))) -1/6)
(+.f64 1/3 (.f64 (.f64 (sqrt.f64 2) (*.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1))) -1/96))
(/.f64 (+.f64 2 (.f64 (.f64 -1/16 (sqrt.f64 2)) (.f64 (+.f64 (cos.f64 x) -1) (pow.f64 (sin.f64 x) 2)))) (+.f64 3 (.f64 3/2 2)))
(/.f64 2/3 (+.f64 1/2 (fma.f64 (fma.f64 -1/2 (sqrt.f64 5) 3/2) (cos.f64 y) (*.f64 1/2 (sqrt.f64 5)))))
(/.f64 (+.f64 2 (.f64 (.f64 -1/16 (sqrt.f64 2)) (.f64 (+.f64 (cos.f64 x) -1) (+.f64 (.f64 -1/3 (pow.f64 x 4)) (+.f64 (.f64 2/45 (pow.f64 x 6)) (pow.f64 x 2)))))) (+.f64 3 (.f64 3/2 2)))
(/.f64 (+.f64 2 (.f64 (.f64 -1/16 (sqrt.f64 2)) (.f64 (+.f64 (cos.f64 x) -1) (pow.f64 (sin.f64 x) 2)))) (+.f64 3 (.f64 3/2 (+.f64 2 (.f64 -1/2 (.f64 (*.f64 x x) (+.f64 (sqrt.f64 5) -1)))))))
(/.f64 2/3 (fma.f64 (fma.f64 -1/2 (sqrt.f64 5) 3/2) (cos.f64 y) (fma.f64 1/2 (sqrt.f64 5) 1/2)))
(/.f64 (+.f64 2 (.f64 (.f64 -1/16 (sqrt.f64 2)) (.f64 (log1p.f64 (expm1.f64 (+.f64 (cos.f64 x) -1))) (pow.f64 (sin.f64 x) 2)))) (+.f64 3 (.f64 3/2 2)))
(/.f64 (+.f64 2 (.f64 (.f64 -1/16 (sqrt.f64 2)) (.f64 (pow.f64 (cbrt.f64 (+.f64 (cos.f64 x) -1)) 3) (pow.f64 (sin.f64 x) 2)))) (+.f64 3 (.f64 3/2 2)))
(/.f64 (+.f64 2 (.f64 (.f64 -1/16 (sqrt.f64 2)) (.f64 (.f64 -1/2 (.f64 x x)) (pow.f64 (sin.f64 x) 2)))) (+.f64 3 (.f64 3/2 (+.f64 (-.f64 3 (sqrt.f64 5)) (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1))))))
(.f64 1/3 (/.f64 (+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (.f64 1/2 (.f64 y y)) (pow.f64 (sin.f64 y) 2)))) 2) (+.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 (cbrt.f64 (.f64 (fma.f64 (sqrt.f64 1/128) (.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1)) 2) 1/6)) 3)
(-.f64 (exp.f64 (log1p.f64 (.f64 (fma.f64 (sqrt.f64 1/128) (.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1)) 2) 1/6))) 1)
(/.f64 (+.f64 2 (.f64 (.f64 -1/16 (sqrt.f64 2)) (.f64 (+.f64 (cos.f64 x) -1) (pow.f64 (sin.f64 x) 2)))) (+.f64 3 (.f64 3/2 (+.f64 (-.f64 3 (sqrt.f64 5)) (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1))))))
(/.f64 (+.f64 2 (.f64 (.f64 -1/16 (sqrt.f64 2)) (.f64 (+.f64 (cos.f64 x) -1) (pow.f64 (sin.f64 x) 2)))) (+.f64 3 (.f64 3/2 (-.f64 3 (-.f64 (sqrt.f64 5) (*.f64 (cos.f64 x) (+.f64 -1 (sqrt.f64 5))))))))
(/.f64 (+.f64 2 (.f64 (.f64 -1/16 (sqrt.f64 2)) (.f64 (+.f64 (cos.f64 x) -1) (pow.f64 (sin.f64 x) 2)))) (+.f64 3 (.f64 3/2 (-.f64 (+.f64 3 (*.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))) (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 (+.f64 5/2 (.f64 (cos.f64 x) (-.f64 (.f64 1/2 (sqrt.f64 5)) 1/2))) (*.f64 1/2 (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 1/2 (+.f64 (.f64 1/2 (sqrt.f64 5)) (.f64 (-.f64 3/2 (*.f64 1/2 (sqrt.f64 5))) (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 3/2 (.f64 (-.f64 3 (sqrt.f64 5)) (cos.f64 y))))))
(/.f64 (+.f64 2 (.f64 (.f64 -1/16 (sqrt.f64 2)) (.f64 (+.f64 (cos.f64 x) -1) (pow.f64 (sin.f64 x) 2)))) (+.f64 3 (.f64 3/2 (+.f64 (-.f64 3 (sqrt.f64 5)) (/.f64 (cos.f64 x) (/.f64 1 (+.f64 (sqrt.f64 5) -1)))))))
(/.f64 (+.f64 2 (.f64 (.f64 -1/16 (sqrt.f64 2)) (.f64 (+.f64 (cos.f64 x) -1) (pow.f64 (sin.f64 x) 2)))) (+.f64 3 (.f64 3/2 (+.f64 (-.f64 3 (sqrt.f64 5)) (/.f64 (*.f64 (cos.f64 x) 4) (+.f64 (sqrt.f64 5) 1))))))
(.f64 1/3 (/.f64 (+.f64 2 (.f64 (sqrt.f64 2) (.f64 (.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1)) -1/16))) (+.f64 1 (-.f64 (+.f64 3/2 (.f64 (cos.f64 x) (-.f64 (.f64 1/2 (sqrt.f64 5)) 1/2))) (*.f64 1/2 (sqrt.f64 5))))))
(.f64 1/3 (/.f64 (+.f64 2 (.f64 (sqrt.f64 2) (.f64 (.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1)) -1/16))) (+.f64 1 (-.f64 (+.f64 (.f64 1/2 (sqrt.f64 5)) (.f64 (-.f64 3/2 (*.f64 1/2 (sqrt.f64 5))) (cos.f64 y))) 1/2))))
(.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 1/2 (+.f64 (.f64 1/2 (sqrt.f64 5)) (.f64 (/.f64 1 (+.f64 3/2 (*.f64 1/2 (sqrt.f64 5)))) (cos.f64 y))))))
(.f64 1/3 (/.f64 (+.f64 2 (.f64 (sqrt.f64 2) (.f64 (.f64 (pow.f64 (sin.f64 x) 2) (.f64 -1/2 (.f64 x x))) -1/16))) (+.f64 1 (+.f64 (.f64 (-.f64 3/2 (.f64 1/2 (sqrt.f64 5))) (cos.f64 y)) (.f64 (cos.f64 x) (-.f64 (.f64 1/2 (sqrt.f64 5)) 1/2))))))
(.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 5/2 (-.f64 (.f64 (fma.f64 1/2 (sqrt.f64 5) -1/2) (cos.f64 x)) (.f64 1/2 (sqrt.f64 5))))))
(/.f64 (+.f64 2 (.f64 (.f64 -1/16 (sqrt.f64 2)) (.f64 (fabs.f64 (+.f64 (cos.f64 x) -1)) (pow.f64 (sin.f64 x) 2)))) (+.f64 3 (.f64 3/2 (+.f64 (-.f64 3 (sqrt.f64 5)) (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1))))))
(/.f64 (+.f64 2 (.f64 (.f64 -1/16 (sqrt.f64 2)) (.f64 (+.f64 (cos.f64 x) -1) (pow.f64 (sin.f64 x) 2)))) (+.f64 3 (.f64 3/2 (+.f64 (-.f64 3 (sqrt.f64 5)) (fabs.f64 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)))))))
(/.f64 (+.f64 2 (.f64 (.f64 -1/16 (sqrt.f64 2)) (.f64 (+.f64 (cos.f64 x) -1) (pow.f64 (sin.f64 x) 2)))) (+.f64 3 (.f64 3/2 (+.f64 (-.f64 3 (sqrt.f64 5)) (+.f64 (*.f64 (cos.f64 x) (sqrt.f64 5)) (neg.f64 (cos.f64 x)))))))
(.f64 1/3 (/.f64 (+.f64 2 (.f64 (sqrt.f64 2) (.f64 (.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1)) -1/16))) (+.f64 1 (+.f64 (.f64 (-.f64 3/2 (.f64 1/2 (sqrt.f64 5))) (cos.f64 y)) (*.f64 (cos.f64 x) (+.f64 -1/2 (sqrt.f64 5/4)))))))
(.f64 1/3 (/.f64 (+.f64 2 (.f64 (sqrt.f64 2) (.f64 (.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1)) -1/16))) (+.f64 1 (+.f64 (.f64 (-.f64 3/2 (.f64 1/2 (sqrt.f64 5))) (cos.f64 y)) (/.f64 (cos.f64 x) (+.f64 1/2 (sqrt.f64 5/4)))))))
(/.f64 (+.f64 2 (.f64 (.f64 -1/16 (sqrt.f64 2)) (.f64 (+.f64 (cos.f64 x) -1) (pow.f64 (sin.f64 x) 2)))) (+.f64 3 (.f64 3/2 (+.f64 (-.f64 3 (sqrt.f64 5)) (/.f64 (+.f64 -1 (pow.f64 5 3/2)) (/.f64 (+.f64 (sqrt.f64 5) 6) (cos.f64 x)))))))
(.f64 1/3 (/.f64 (+.f64 2 (.f64 -1/16 (.f64 (pow.f64 (sin.f64 y) 2) (.f64 (sqrt.f64 2) (-.f64 1 (cos.f64 y)))))) (+.f64 1 (+.f64 (.f64 (-.f64 3/2 (.f64 1/2 (sqrt.f64 5))) (cos.f64 y)) (.f64 (cos.f64 x) (-.f64 (.f64 1/2 (sqrt.f64 5)) 1/2))))))
(.f64 1/3 (/.f64 (+.f64 2 (.f64 (sqrt.f64 2) (.f64 (.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1)) -1/16))) (+.f64 1 (+.f64 (.f64 (-.f64 3/2 (.f64 1/2 (sqrt.f64 5))) (cos.f64 y)) (.f64 (cos.f64 x) (-.f64 (.f64 1/2 (sqrt.f64 5)) 1/2))))))
(.f64 1/3 (/.f64 (+.f64 2 (.f64 (sqrt.f64 2) (.f64 (.f64 (pow.f64 (sin.f64 x) 2) (.f64 1/24 (pow.f64 x 4))) -1/16))) (+.f64 1 (+.f64 (.f64 (-.f64 3/2 (.f64 1/2 (sqrt.f64 5))) (cos.f64 y)) (.f64 (cos.f64 x) (-.f64 (*.f64 1/2 (sqrt.f64 5)) 1/2))))))
(.f64 1/3 (/.f64 (+.f64 2 (.f64 (sqrt.f64 2) (.f64 (.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1)) -1/16))) (+.f64 1 (+.f64 (.f64 (/.f64 1 (+.f64 3/2 (.f64 1/2 (sqrt.f64 5)))) (cos.f64 y)) (.f64 (cos.f64 x) (-.f64 (.f64 1/2 (sqrt.f64 5)) 1/2))))))
(.f64 1/3 (/.f64 (+.f64 2 (.f64 (sqrt.f64 2) (.f64 (.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (.f64 x (.f64 x -1/2)) (.f64 1/24 (pow.f64 x 4)))) -1/16))) (+.f64 1 (+.f64 (.f64 (-.f64 3/2 (.f64 1/2 (sqrt.f64 5))) (cos.f64 y)) (.f64 (cos.f64 x) (-.f64 (*.f64 1/2 (sqrt.f64 5)) 1/2))))))
(/.f64 1/3 (/.f64 (+.f64 1/2 (fma.f64 (cos.f64 y) (-.f64 3/2 (sqrt.f64 5/4)) (sqrt.f64 5/4))) (fma.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2))) -1/16 2)))
(/.f64 (.f64 (fma.f64 -1/16 (.f64 (-.f64 1 (cos.f64 y)) (*.f64 (sqrt.f64 2) (pow.f64 (sin.f64 y) 2))) 2) -1/3) (-.f64 -1/2 (fma.f64 (cos.f64 y) (-.f64 3/2 (sqrt.f64 5/4)) (sqrt.f64 5/4))))
(/.f64 (fma.f64 -1/16 (.f64 (pow.f64 (sin.f64 x) 2) (.f64 (+.f64 (cos.f64 x) -1) (sqrt.f64 2))) 2) (fma.f64 3/2 (-.f64 3 (+.f64 (sqrt.f64 5) (*.f64 (-.f64 1 (sqrt.f64 5)) (cos.f64 x)))) 3))
(/.f64 (+.f64 2 (.f64 (.f64 -1/16 (sqrt.f64 2)) (.f64 (+.f64 (cos.f64 x) -1) (pow.f64 (sin.f64 x) 2)))) (+.f64 3 (.f64 3/2 (fabs.f64 (-.f64 (fma.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1) 3) (sqrt.f64 5))))))
(/.f64 (+.f64 2 (.f64 (.f64 -1/16 (sqrt.f64 2)) (.f64 (+.f64 (cos.f64 x) -1) (pow.f64 (sin.f64 x) 2)))) (+.f64 3 (.f64 3/2 (+.f64 (-.f64 3 (sqrt.f64 5)) (pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1))) 3)))))
(.f64 1/3 (/.f64 (+.f64 2 (.f64 (sqrt.f64 2) (.f64 (.f64 (pow.f64 (sin.f64 x) 2) (fabs.f64 (+.f64 (cos.f64 x) -1))) -1/16))) (+.f64 1 (+.f64 (.f64 (-.f64 3/2 (.f64 1/2 (sqrt.f64 5))) (cos.f64 y)) (.f64 (cos.f64 x) (-.f64 (.f64 1/2 (sqrt.f64 5)) 1/2))))))
(/.f64 (+.f64 2 (.f64 (.f64 (sqrt.f64 2) (.f64 -1/16 (sin.f64 y))) (.f64 (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16)) (-.f64 (cos.f64 x) (cos.f64 y))))) (.f64 3 (+.f64 1 (-.f64 (+.f64 3/2 (.f64 (cos.f64 x) (-.f64 (.f64 1/2 (sqrt.f64 5)) 1/2))) (.f64 1/2 (sqrt.f64 5))))))
(/.f64 (+.f64 2 (.f64 (.f64 (sqrt.f64 2) (.f64 -1/16 (sin.f64 y))) (.f64 (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16)) (-.f64 (cos.f64 x) (cos.f64 y))))) (.f64 3 (+.f64 1 (-.f64 (+.f64 (.f64 1/2 (sqrt.f64 5)) (.f64 (-.f64 3/2 (.f64 1/2 (sqrt.f64 5))) (cos.f64 y))) 1/2))))
(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (sin.f64 y)) -1/16) (.f64 (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16)) (-.f64 (cos.f64 x) (cos.f64 y))))) (.f64 3 (+.f64 1 (-.f64 (+.f64 (.f64 1/2 (sqrt.f64 5)) (.f64 (-.f64 3/2 (.f64 1/2 (sqrt.f64 5))) (cos.f64 y))) 1/2))))
(.f64 1/3 (/.f64 (+.f64 2 (.f64 (sqrt.f64 2) (.f64 (.f64 (pow.f64 (sin.f64 x) 2) (fma.f64 1/24 (pow.f64 x 4) (.f64 -1/2 (.f64 x x)))) -1/16))) (+.f64 1 (+.f64 (.f64 (-.f64 3/2 (.f64 1/2 (sqrt.f64 5))) (cos.f64 y)) (.f64 (cos.f64 x) (-.f64 (.f64 1/2 (sqrt.f64 5)) 1/2))))))
(.f64 1/3 (/.f64 (+.f64 2 (.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))) (.f64 (-.f64 (cos.f64 x) 1) (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x))))))) (+.f64 1 (-.f64 (+.f64 3/2 (.f64 (cos.f64 x) (-.f64 (.f64 1/2 (sqrt.f64 5)) 1/2))) (*.f64 1/2 (sqrt.f64 5))))))
(.f64 1/3 (/.f64 (+.f64 2 (.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))) (.f64 (-.f64 (cos.f64 x) 1) (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x))))))) (+.f64 1 (-.f64 (+.f64 (.f64 1/2 (sqrt.f64 5)) (.f64 (-.f64 3/2 (*.f64 1/2 (sqrt.f64 5))) (cos.f64 y))) 1/2))))
(/.f64 (+.f64 2 (.f64 (.f64 (sqrt.f64 2) (.f64 -1/16 (sin.f64 y))) (.f64 (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16)) (-.f64 1 (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 (+.f64 2 (.f64 (.f64 (sqrt.f64 2) (.f64 -1/16 (sin.f64 y))) (.f64 (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16)) (-.f64 (cos.f64 x) 1)))) (.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)))))))
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(/.f64 (+.f64 2 (.f64 (.f64 (sqrt.f64 2) (.f64 -1/16 (sin.f64 y))) (.f64 (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16)) (-.f64 (cos.f64 x) (cos.f64 y))))) (.f64 3 (+.f64 1 (-.f64 (+.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) -1/2)) (exp.f64 (log1p.f64 (/.f64 (cos.f64 y) (+.f64 3/2 (sqrt.f64 5/4)))))) 1))))
(/.f64 (+.f64 2 (.f64 (log.f64 (+.f64 1 (expm1.f64 (.f64 (sqrt.f64 2) (.f64 -1/16 (sin.f64 y)))))) (.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 (+.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 -1 (pow.f64 5 1/4)) (.f64 (cos.f64 x) (/.f64 (+.f64 1 (pow.f64 5 1/4)) 2)))) (*.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 1 (pow.f64 5 1/4)) (/.f64 (/.f64 2 (cos.f64 x)) (-.f64 (pow.f64 5 1/4) 1)))) (*.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (.f64 (sqrt.f64 2) (.f64 -1/16 (sin.f64 y))) (.f64 (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16)) (-.f64 (cos.f64 x) (cos.f64 y))))) (*.f64 3 (+.f64 1 (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) -1/2) (/.f64 (cos.f64 y) (+.f64 3/2 (sqrt.f64 5/4))))) 3))))
(/.f64 (fma.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16)) (.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)) (-.f64 (cos.f64 x) (cos.f64 y)))) 2) (+.f64 (.f64 (+.f64 (sqrt.f64 5) -1) (.f64 (cos.f64 x) 3/2)) (fma.f64 (cos.f64 y) (/.f64 (-.f64 3 (sqrt.f64 5)) 2/3) 3)))
(/.f64 (fma.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16)) (.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)) (-.f64 (cos.f64 x) (cos.f64 y)))) 2) (+.f64 (*.f64 (/.f64 (cos.f64 x) (-.f64 -1 (sqrt.f64 5))) -6) (fma.f64 (cos.f64 y) (/.f64 (-.f64 3 (sqrt.f64 5)) 2/3) 3)))
(/.f64 (fma.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16)) (.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)) (-.f64 (cos.f64 x) (cos.f64 y)))) 2) (+.f64 (/.f64 (cos.f64 x) (/.f64 (-.f64 -1 (sqrt.f64 5)) -6)) (fma.f64 (cos.f64 y) (/.f64 (-.f64 3 (sqrt.f64 5)) 2/3) 3)))
(/.f64 (fma.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16)) (.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)) (-.f64 (cos.f64 x) (cos.f64 y)))) 2) (+.f64 (/.f64 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) 2/3) (fma.f64 (cos.f64 y) (/.f64 (-.f64 3 (sqrt.f64 5)) 2/3) 3)))
(/.f64 (fma.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16)) (.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)) (-.f64 (cos.f64 x) (cos.f64 y)))) 2) (+.f64 (/.f64 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) 2/3) (fma.f64 (cos.f64 y) (/.f64 (/.f64 4 (+.f64 (sqrt.f64 5) 3)) 2/3) 3)))
(/.f64 (fma.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16)) (.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)) (-.f64 (cos.f64 x) (cos.f64 y)))) 2) (+.f64 (/.f64 (/.f64 (*.f64 (cos.f64 x) 4) (+.f64 (sqrt.f64 5) 1)) 2/3) (fma.f64 (cos.f64 y) (/.f64 (-.f64 3 (sqrt.f64 5)) 2/3) 3)))
(/.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 (exp.f64 (log1p.f64 (/.f64 (cos.f64 y) (+.f64 (sqrt.f64 5/4) 3/2)))) (-.f64 1 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) -1/2)))))))
(/.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 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) -1/2)) (exp.f64 (log1p.f64 (/.f64 (cos.f64 y) (+.f64 3/2 (sqrt.f64 5/4)))))) 1))))
(/.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 (pow.f64 (cbrt.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) -1/2))) 3) (.f64 (cos.f64 y) (/.f64 1 (+.f64 3/2 (sqrt.f64 5/4))))))))
(.f64 1/3 (/.f64 (+.f64 2 (log.f64 (exp.f64 (.f64 (sqrt.f64 2) (.f64 (+.f64 (sin.f64 x) (.f64 (sin.f64 y) -1/16)) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (+.f64 (sin.f64 y) (.f64 (sin.f64 x) -1/16)))))))) (+.f64 1 (+.f64 (.f64 (-.f64 3/2 (.f64 1/2 (sqrt.f64 5))) (cos.f64 y)) (.f64 (cos.f64 x) (-.f64 (.f64 1/2 (sqrt.f64 5)) 1/2))))))
(.f64 1/3 (/.f64 (+.f64 2 (log1p.f64 (expm1.f64 (.f64 (sqrt.f64 2) (.f64 (+.f64 (sin.f64 x) (.f64 (sin.f64 y) -1/16)) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (+.f64 (sin.f64 y) (.f64 (sin.f64 x) -1/16)))))))) (+.f64 1 (+.f64 (.f64 (-.f64 3/2 (.f64 1/2 (sqrt.f64 5))) (cos.f64 y)) (.f64 (cos.f64 x) (-.f64 (.f64 1/2 (sqrt.f64 5)) 1/2))))))
(/.f64 (+.f64 2 (.f64 (.f64 -1/16 (sqrt.f64 2)) (.f64 (+.f64 (cos.f64 x) -1) (pow.f64 (sin.f64 x) 2)))) (+.f64 3 (.f64 3/2 (+.f64 (-.f64 3 (sqrt.f64 5)) (/.f64 (/.f64 (.f64 (cos.f64 x) (+.f64 -1 (pow.f64 5 3/2))) (.f64 (cbrt.f64 (+.f64 6 (sqrt.f64 5))) (cbrt.f64 (+.f64 6 (sqrt.f64 5))))) (cbrt.f64 (+.f64 6 (sqrt.f64 5))))))))
(/.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 (pow.f64 (cbrt.f64 (.f64 (.f64 (+.f64 (sqrt.f64 5) -1) (cos.f64 x)) 1/2)) 3)) (*.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 (sqrt.f64 2) (+.f64 (sin.f64 x) (.f64 (sin.f64 y) -1/16)))) 3) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (*.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (fma.f64 (sqrt.f64 2) (.f64 (+.f64 (sin.f64 y) (.f64 -1/16 (sin.f64 x))) (.f64 (+.f64 (sin.f64 x) (.f64 -1/16 (sin.f64 y))) (-.f64 (cos.f64 x) (cos.f64 y)))) 2) (fma.f64 (cos.f64 x) (/.f64 (+.f64 (sqrt.f64 5) -1) 2/3) (fma.f64 (cos.f64 y) (*.f64 3/2 (-.f64 3 (sqrt.f64 5))) 3)))
(/.f64 (fma.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16)) (.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)) (-.f64 (cos.f64 x) (cos.f64 y)))) 2) (+.f64 (/.f64 (cos.f64 x) (fma.f64 (sqrt.f64 5) 1/6 1/6)) (fma.f64 (cos.f64 y) (/.f64 (-.f64 3 (sqrt.f64 5)) 2/3) 3)))
(.f64 (/.f64 1/3 (fma.f64 -1/2 (sqrt.f64 5) (fma.f64 (fma.f64 1/2 (sqrt.f64 5) -1/2) (cos.f64 x) 5/2))) (+.f64 (fma.f64 (.f64 (.f64 (sqrt.f64 2) -1/16) (+.f64 -1 (cos.f64 x))) (pow.f64 (sin.f64 x) 2) 2) (.f64 y (.f64 (.f64 (sin.f64 x) (*.f64 (+.f64 -1 (cos.f64 x)) 257/256)) (sqrt.f64 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) (/.f64 1/3 (fma.f64 (cos.f64 y) (+.f64 3/2 (.f64 (sqrt.f64 5) -1/2)) (fma.f64 (cos.f64 x) (+.f64 (*.f64 (sqrt.f64 5) 1/2) -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) (*.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 (.f64 (sqrt.f64 2) (-.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 3/2 (/.f64 (sqrt.f64 5) 2)) 1))))
(/.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 (pow.f64 (sqrt.f64 (fma.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) -1/2) (/.f64 (cos.f64 y) (+.f64 3/2 (sqrt.f64 5/4))))) 2))))
(log.f64 (exp.f64 (.f64 1/3 (/.f64 (+.f64 2 (.f64 (sqrt.f64 2) (.f64 (+.f64 (sin.f64 x) (.f64 (sin.f64 y) -1/16)) (.f64 (+.f64 (cos.f64 x) -1) (+.f64 (sin.f64 y) (.f64 (sin.f64 x) -1/16)))))) (+.f64 1 (fma.f64 (+.f64 3/2 (.f64 (sqrt.f64 5) -1/2)) (cos.f64 y) (.f64 (cos.f64 x) (fma.f64 1/2 (sqrt.f64 5) -1/2))))))))
(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (/.f64 (cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 5) -1) 2)) (/.f64 2 (.f64 (cos.f64 x) (cbrt.f64 (+.f64 (sqrt.f64 5) -1)))))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(log.f64 (exp.f64 (/.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 (sin.f64 y) -1/16)))) 2) (fma.f64 (cos.f64 x) (*.f64 (+.f64 (sqrt.f64 5) -1) 3/2) (fma.f64 (cos.f64 y) (/.f64 6 (+.f64 (sqrt.f64 5) 3)) 3)))))
(/.f64 (fma.f64 (sqrt.f64 2) (.f64 (+.f64 (sin.f64 y) (.f64 -1/16 (sin.f64 x))) (.f64 (+.f64 (sin.f64 x) (.f64 -1/16 (sin.f64 y))) (-.f64 (cos.f64 x) (cos.f64 y)))) 2) (fma.f64 (cos.f64 x) (expm1.f64 (log1p.f64 (.f64 (+.f64 (sqrt.f64 5) -1) 3/2))) (fma.f64 (cos.f64 y) (.f64 3/2 (-.f64 3 (sqrt.f64 5))) 3)))
(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) -1/2)) (fma.f64 (cos.f64 x) (+.f64 (*.f64 (sqrt.f64 5) 1/2) -1/2) 1))))))
(/.f64 (fma.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16)) (.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)) (-.f64 (cos.f64 x) (cos.f64 y)))) 2) (+.f64 (*.f64 (/.f64 (cos.f64 x) 1/3) (/.f64 (sqrt.f64 (+.f64 (sqrt.f64 5) -1)) (sqrt.f64 (+.f64 (sqrt.f64 5) 1)))) (fma.f64 (cos.f64 y) (/.f64 (-.f64 3 (sqrt.f64 5)) 2/3) 3)))
(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (/.f64 (.f64 (.f64 (cos.f64 x) (pow.f64 (cbrt.f64 (+.f64 (.f64 (sqrt.f64 5) 1/2) -1/2)) 2)) (cbrt.f64 (-.f64 1 (sqrt.f64 5)))) (cbrt.f64 -2))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (fma.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16)) (.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)) (-.f64 (cos.f64 x) (cos.f64 y)))) 2) (+.f64 (.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (+.f64 (.f64 (sqrt.f64 5) 1/6) 1/6)) (cbrt.f64 (cos.f64 x))) (fma.f64 (cos.f64 y) (/.f64 (-.f64 3 (sqrt.f64 5)) 2/3) 3)))
(+.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (.f64 (+.f64 (.f64 1/256 (sin.f64 y)) (sin.f64 y)) x))) (+.f64 (.f64 3/2 (-.f64 (sqrt.f64 5) 1)) (+.f64 3 (.f64 3/2 (.f64 (-.f64 3 (sqrt.f64 5)) (cos.f64 y)))))) (+.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 3/2 (.f64 (-.f64 3 (sqrt.f64 5)) (cos.f64 y))))))) (.f64 2 (/.f64 1 (+.f64 (.f64 3/2 (-.f64 (sqrt.f64 5) 1)) (+.f64 3 (.f64 3/2 (*.f64 (-.f64 3 (sqrt.f64 5)) (cos.f64 y)))))))))
(/.f64 (.f64 1/3 (fma.f64 (.f64 (sqrt.f64 2) (fma.f64 -1/16 (sin.f64 x) (sin.f64 y))) (*.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (fma.f64 -1/16 (sin.f64 y) (sin.f64 x))) 2)) (fma.f64 (cos.f64 y) (fma.f64 (sqrt.f64 5) -1/2 3/2) (fma.f64 (fma.f64 1/2 (sqrt.f64 5) -1/2) (cos.f64 x) 1)))

Outputs

(/.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 y) (+.f64 (sqrt.f64 5/4) 3/2)) (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) 1/2))))))

Calls

3 calls:

68.0ms

67.0ms

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)))))

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)))))`

Compiler

Compiled 6174 to 4512 computations (26.9% saved)

regimes444.0ms (1.5%)

Counts

98 → 3

Calls

Call 1

Inputs
1/3
(+.f64 1/3 (.f64 1/12 (.f64 (.f64 y y) (-.f64 3/2 (.f64 1/2 (sqrt.f64 5))))))
(+.f64 (sqrt.f64 (*.f64 (pow.f64 x 8) 1/18432)) 1/3)
(+.f64 (.f64 1/192 (.f64 (sqrt.f64 2) (pow.f64 x 4))) 1/3)
(+.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 x 4) 1/192)) 1/3)
(/.f64 (+.f64 2 (.f64 (sqrt.f64 2) (.f64 (pow.f64 x 4) 1/32))) (+.f64 3 (*.f64 3/2 2)))
(+.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 (sqrt.f64 2) 1/192)) (*.f64 x x)) 2) 1/3)
(/.f64 2/3 (+.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 2 (.f64 (-.f64 1/2 (/.f64 (cos.f64 (+.f64 x x)) 2)) (.f64 (sqrt.f64 1/128) (+.f64 (cos.f64 x) -1)))) (+.f64 3 (*.f64 3/2 2)))
(/.f64 (+.f64 2 (.f64 (.f64 -1/16 (sqrt.f64 2)) (.f64 (+.f64 (cos.f64 x) -1) (-.f64 1/2 (/.f64 (cos.f64 (+.f64 x x)) 2))))) (+.f64 3 (.f64 3/2 2)))
(+.f64 (.f64 1/192 (exp.f64 (log.f64 (.f64 (sqrt.f64 2) (pow.f64 x 4))))) 1/3)
(+.f64 (-.f64 (exp.f64 (log1p.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 x 4) 1/192)))) 1) 1/3)
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(/.f64 (+.f64 2 (.f64 (log.f64 (+.f64 1 (expm1.f64 (.f64 (sqrt.f64 2) (.f64 -1/16 (sin.f64 y)))))) (.f64 (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16)) (-.f64 1 (cos.f64 y))))) (.f64 3 (+.f64 1 (-.f64 (+.f64 (.f64 1/2 (sqrt.f64 5)) (.f64 (-.f64 3/2 (.f64 1/2 (sqrt.f64 5))) (cos.f64 y))) 1/2))))
(/.f64 (+.f64 2 (.f64 (.f64 (sqrt.f64 2) (.f64 -1/16 (sin.f64 y))) (.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 (+.f64 2 (.f64 (.f64 (sqrt.f64 2) (.f64 -1/16 (sin.f64 y))) (.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 1 (+.f64 3/2 (sqrt.f64 5/4))))))))
(/.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 1 (cos.f64 y))))) (.f64 3 (+.f64 1 (+.f64 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) 1/2)) (*.f64 (cos.f64 y) (/.f64 1 (+.f64 3/2 (sqrt.f64 5/4))))))))
(/.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) 1)))) (.f64 3 (+.f64 1 (+.f64 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) 1/2)) (*.f64 (cos.f64 y) (/.f64 1 (+.f64 3/2 (sqrt.f64 5/4))))))))
(/.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 3/2 (.f64 (cos.f64 x) (-.f64 (.f64 1/2 (sqrt.f64 5)) 1/2))) (*.f64 1/2 (sqrt.f64 5))))))
(/.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 1/2 (-.f64 (sqrt.f64 5) 1))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(.f64 1/3 (/.f64 (+.f64 2 (.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))) (.f64 (-.f64 (cos.f64 x) 1) (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x))))))) (+.f64 1 (+.f64 (.f64 (-.f64 3/2 (.f64 1/2 (sqrt.f64 5))) (cos.f64 y)) (.f64 (cos.f64 x) (-.f64 (.f64 1/2 (sqrt.f64 5)) 1/2))))))
(/.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 1 (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 (+.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 1 (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 1 (+.f64 3/2 (sqrt.f64 5/4))))))))
(/.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) 1)))) (.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 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 1 (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 (+.f64 2 (.f64 (.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16))) (.f64 (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16)) (+.f64 1 (-.f64 (.f64 -1/2 (.f64 x x)) (cos.f64 y)))))) (.f64 3 (+.f64 1 (+.f64 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) 1/2)) (*.f64 (cos.f64 y) (/.f64 1 (+.f64 3/2 (sqrt.f64 5/4))))))))
(/.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) (-.f64 (.f64 1/2 (.f64 y y)) 1))))) (.f64 3 (+.f64 1 (+.f64 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) 1/2)) (*.f64 (cos.f64 y) (/.f64 1 (+.f64 3/2 (sqrt.f64 5/4))))))))
(/.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 1 (-.f64 (.f64 -1/2 (.f64 x x)) (cos.f64 y))))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (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) (-.f64 (.f64 1/2 (.f64 y y)) 1)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(/.f64 1/3 (/.f64 (fma.f64 (cos.f64 y) (fma.f64 (sqrt.f64 5) -1/2 3/2) (fma.f64 1/2 (sqrt.f64 5) 1/2)) (fma.f64 -1/16 (.f64 (pow.f64 (sin.f64 y) 2) (.f64 (sqrt.f64 2) (-.f64 1 (cos.f64 y)))) 2)))
(/.f64 (.f64 1/3 (fma.f64 (.f64 (*.f64 (sqrt.f64 2) -1/16) (+.f64 -1 (cos.f64 x))) (pow.f64 (sin.f64 x) 2) 2)) (fma.f64 -1/2 (sqrt.f64 5) (fma.f64 (fma.f64 1/2 (sqrt.f64 5) -1/2) (cos.f64 x) 5/2)))
(pow.f64 (sqrt.f64 (.f64 1/3 (/.f64 (fma.f64 (.f64 (sqrt.f64 2) (*.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2))) -1/16 2) (+.f64 1/2 (fma.f64 (cos.f64 y) (-.f64 3/2 (sqrt.f64 5/4)) (sqrt.f64 5/4)))))) 2)
(-.f64 (exp.f64 (log1p.f64 (.f64 1/3 (/.f64 (fma.f64 (.f64 (sqrt.f64 2) (*.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2))) -1/16 2) (+.f64 1/2 (fma.f64 (cos.f64 y) (-.f64 3/2 (sqrt.f64 5/4)) (sqrt.f64 5/4))))))) 1)
(/.f64 (+.f64 2 (.f64 (.f64 -1/16 (sqrt.f64 2)) (.f64 (+.f64 (cos.f64 x) -1) (pow.f64 (sin.f64 x) 2)))) (+.f64 3 (.f64 3/2 (+.f64 (-.f64 3 (sqrt.f64 5)) (/.f64 (/.f64 (*.f64 (cos.f64 x) (+.f64 -1 (pow.f64 5 3/2))) (sqrt.f64 (+.f64 6 (sqrt.f64 5)))) (sqrt.f64 (+.f64 6 (sqrt.f64 5))))))))

Outputs

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

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

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

Calls

2 calls:

185.0ms	x
179.0ms	y

Results

Error	Segments	Branch
11.1b	3	`x`
11.9b	3	`y`

Compiler

Compiled 3465 to 2673 computations (22.9% saved)

bsearch374.0ms (1.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
89.0ms	0.06246404786026114	1.8035295730049339
283.0ms	-4.42537402835133e+28	-1.0592147902724063e-17

Results

224.0ms	188×	body	256	valid
111.0ms	80×	body	1024	valid
29.0ms	36×	body	512	valid

Compiler

Compiled 2009 to 1578 computations (21.5% saved)

regimes447.0ms (1.5%)

Counts

89 → 3

Calls

Call 1

Inputs
1/3
(+.f64 1/3 (.f64 1/12 (.f64 (.f64 y y) (-.f64 3/2 (.f64 1/2 (sqrt.f64 5))))))
(+.f64 (sqrt.f64 (*.f64 (pow.f64 x 8) 1/18432)) 1/3)
(+.f64 (.f64 1/192 (.f64 (sqrt.f64 2) (pow.f64 x 4))) 1/3)
(+.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 x 4) 1/192)) 1/3)
(/.f64 (+.f64 2 (.f64 (sqrt.f64 2) (.f64 (pow.f64 x 4) 1/32))) (+.f64 3 (*.f64 3/2 2)))
(+.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 (sqrt.f64 2) 1/192)) (*.f64 x x)) 2) 1/3)
(/.f64 2/3 (+.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 2 (.f64 (-.f64 1/2 (/.f64 (cos.f64 (+.f64 x x)) 2)) (.f64 (sqrt.f64 1/128) (+.f64 (cos.f64 x) -1)))) (+.f64 3 (*.f64 3/2 2)))
(/.f64 (+.f64 2 (.f64 (.f64 -1/16 (sqrt.f64 2)) (.f64 (+.f64 (cos.f64 x) -1) (-.f64 1/2 (/.f64 (cos.f64 (+.f64 x x)) 2))))) (+.f64 3 (.f64 3/2 2)))
(+.f64 (.f64 1/192 (exp.f64 (log.f64 (.f64 (sqrt.f64 2) (pow.f64 x 4))))) 1/3)
(+.f64 (-.f64 (exp.f64 (log1p.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 x 4) 1/192)))) 1) 1/3)
(.f64 (-.f64 -2 (.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (sqrt.f64 1/128) (+.f64 (cos.f64 x) -1)))) -1/6)
(+.f64 1/3 (.f64 (.f64 (sqrt.f64 2) (*.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1))) -1/96))
(/.f64 (+.f64 2 (.f64 (.f64 -1/16 (sqrt.f64 2)) (.f64 (+.f64 (cos.f64 x) -1) (pow.f64 (sin.f64 x) 2)))) (+.f64 3 (.f64 3/2 2)))
(/.f64 2/3 (+.f64 1/2 (fma.f64 (fma.f64 -1/2 (sqrt.f64 5) 3/2) (cos.f64 y) (*.f64 1/2 (sqrt.f64 5)))))
(/.f64 (+.f64 2 (.f64 (.f64 -1/16 (sqrt.f64 2)) (.f64 (+.f64 (cos.f64 x) -1) (+.f64 (.f64 -1/3 (pow.f64 x 4)) (+.f64 (.f64 2/45 (pow.f64 x 6)) (pow.f64 x 2)))))) (+.f64 3 (.f64 3/2 2)))
(/.f64 (+.f64 2 (.f64 (.f64 -1/16 (sqrt.f64 2)) (.f64 (+.f64 (cos.f64 x) -1) (pow.f64 (sin.f64 x) 2)))) (+.f64 3 (.f64 3/2 (+.f64 2 (.f64 -1/2 (.f64 (*.f64 x x) (+.f64 (sqrt.f64 5) -1)))))))
(/.f64 2/3 (fma.f64 (fma.f64 -1/2 (sqrt.f64 5) 3/2) (cos.f64 y) (fma.f64 1/2 (sqrt.f64 5) 1/2)))
(/.f64 (+.f64 2 (.f64 (.f64 -1/16 (sqrt.f64 2)) (.f64 (log1p.f64 (expm1.f64 (+.f64 (cos.f64 x) -1))) (pow.f64 (sin.f64 x) 2)))) (+.f64 3 (.f64 3/2 2)))
(/.f64 (+.f64 2 (.f64 (.f64 -1/16 (sqrt.f64 2)) (.f64 (pow.f64 (cbrt.f64 (+.f64 (cos.f64 x) -1)) 3) (pow.f64 (sin.f64 x) 2)))) (+.f64 3 (.f64 3/2 2)))
(/.f64 (+.f64 2 (.f64 (.f64 -1/16 (sqrt.f64 2)) (.f64 (.f64 -1/2 (.f64 x x)) (pow.f64 (sin.f64 x) 2)))) (+.f64 3 (.f64 3/2 (+.f64 (-.f64 3 (sqrt.f64 5)) (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1))))))
(.f64 1/3 (/.f64 (+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (.f64 1/2 (.f64 y y)) (pow.f64 (sin.f64 y) 2)))) 2) (+.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 (cbrt.f64 (.f64 (fma.f64 (sqrt.f64 1/128) (.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1)) 2) 1/6)) 3)
(-.f64 (exp.f64 (log1p.f64 (.f64 (fma.f64 (sqrt.f64 1/128) (.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1)) 2) 1/6))) 1)
(/.f64 (+.f64 2 (.f64 (.f64 -1/16 (sqrt.f64 2)) (.f64 (+.f64 (cos.f64 x) -1) (pow.f64 (sin.f64 x) 2)))) (+.f64 3 (.f64 3/2 (+.f64 (-.f64 3 (sqrt.f64 5)) (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1))))))
(/.f64 (+.f64 2 (.f64 (.f64 -1/16 (sqrt.f64 2)) (.f64 (+.f64 (cos.f64 x) -1) (pow.f64 (sin.f64 x) 2)))) (+.f64 3 (.f64 3/2 (-.f64 3 (-.f64 (sqrt.f64 5) (*.f64 (cos.f64 x) (+.f64 -1 (sqrt.f64 5))))))))
(/.f64 (+.f64 2 (.f64 (.f64 -1/16 (sqrt.f64 2)) (.f64 (+.f64 (cos.f64 x) -1) (pow.f64 (sin.f64 x) 2)))) (+.f64 3 (.f64 3/2 (-.f64 (+.f64 3 (*.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))) (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 (+.f64 5/2 (.f64 (cos.f64 x) (-.f64 (.f64 1/2 (sqrt.f64 5)) 1/2))) (*.f64 1/2 (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 1/2 (+.f64 (.f64 1/2 (sqrt.f64 5)) (.f64 (-.f64 3/2 (*.f64 1/2 (sqrt.f64 5))) (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 3/2 (.f64 (-.f64 3 (sqrt.f64 5)) (cos.f64 y))))))
(/.f64 (+.f64 2 (.f64 (.f64 -1/16 (sqrt.f64 2)) (.f64 (+.f64 (cos.f64 x) -1) (pow.f64 (sin.f64 x) 2)))) (+.f64 3 (.f64 3/2 (+.f64 (-.f64 3 (sqrt.f64 5)) (/.f64 (cos.f64 x) (/.f64 1 (+.f64 (sqrt.f64 5) -1)))))))
(/.f64 (+.f64 2 (.f64 (.f64 -1/16 (sqrt.f64 2)) (.f64 (+.f64 (cos.f64 x) -1) (pow.f64 (sin.f64 x) 2)))) (+.f64 3 (.f64 3/2 (+.f64 (-.f64 3 (sqrt.f64 5)) (/.f64 (*.f64 (cos.f64 x) 4) (+.f64 (sqrt.f64 5) 1))))))
(.f64 1/3 (/.f64 (+.f64 2 (.f64 (sqrt.f64 2) (.f64 (.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1)) -1/16))) (+.f64 1 (-.f64 (+.f64 3/2 (.f64 (cos.f64 x) (-.f64 (.f64 1/2 (sqrt.f64 5)) 1/2))) (*.f64 1/2 (sqrt.f64 5))))))
(.f64 1/3 (/.f64 (+.f64 2 (.f64 (sqrt.f64 2) (.f64 (.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1)) -1/16))) (+.f64 1 (-.f64 (+.f64 (.f64 1/2 (sqrt.f64 5)) (.f64 (-.f64 3/2 (*.f64 1/2 (sqrt.f64 5))) (cos.f64 y))) 1/2))))
(.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 1/2 (+.f64 (.f64 1/2 (sqrt.f64 5)) (.f64 (/.f64 1 (+.f64 3/2 (*.f64 1/2 (sqrt.f64 5)))) (cos.f64 y))))))
(.f64 1/3 (/.f64 (+.f64 2 (.f64 (sqrt.f64 2) (.f64 (.f64 (pow.f64 (sin.f64 x) 2) (.f64 -1/2 (.f64 x x))) -1/16))) (+.f64 1 (+.f64 (.f64 (-.f64 3/2 (.f64 1/2 (sqrt.f64 5))) (cos.f64 y)) (.f64 (cos.f64 x) (-.f64 (.f64 1/2 (sqrt.f64 5)) 1/2))))))
(.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 5/2 (-.f64 (.f64 (fma.f64 1/2 (sqrt.f64 5) -1/2) (cos.f64 x)) (.f64 1/2 (sqrt.f64 5))))))
(/.f64 (+.f64 2 (.f64 (.f64 -1/16 (sqrt.f64 2)) (.f64 (fabs.f64 (+.f64 (cos.f64 x) -1)) (pow.f64 (sin.f64 x) 2)))) (+.f64 3 (.f64 3/2 (+.f64 (-.f64 3 (sqrt.f64 5)) (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1))))))
(/.f64 (+.f64 2 (.f64 (.f64 -1/16 (sqrt.f64 2)) (.f64 (+.f64 (cos.f64 x) -1) (pow.f64 (sin.f64 x) 2)))) (+.f64 3 (.f64 3/2 (+.f64 (-.f64 3 (sqrt.f64 5)) (fabs.f64 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)))))))
(/.f64 (+.f64 2 (.f64 (.f64 -1/16 (sqrt.f64 2)) (.f64 (+.f64 (cos.f64 x) -1) (pow.f64 (sin.f64 x) 2)))) (+.f64 3 (.f64 3/2 (+.f64 (-.f64 3 (sqrt.f64 5)) (+.f64 (*.f64 (cos.f64 x) (sqrt.f64 5)) (neg.f64 (cos.f64 x)))))))
(.f64 1/3 (/.f64 (+.f64 2 (.f64 (sqrt.f64 2) (.f64 (.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1)) -1/16))) (+.f64 1 (+.f64 (.f64 (-.f64 3/2 (.f64 1/2 (sqrt.f64 5))) (cos.f64 y)) (*.f64 (cos.f64 x) (+.f64 -1/2 (sqrt.f64 5/4)))))))
(.f64 1/3 (/.f64 (+.f64 2 (.f64 (sqrt.f64 2) (.f64 (.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1)) -1/16))) (+.f64 1 (+.f64 (.f64 (-.f64 3/2 (.f64 1/2 (sqrt.f64 5))) (cos.f64 y)) (/.f64 (cos.f64 x) (+.f64 1/2 (sqrt.f64 5/4)))))))
(/.f64 (+.f64 2 (.f64 (.f64 -1/16 (sqrt.f64 2)) (.f64 (+.f64 (cos.f64 x) -1) (pow.f64 (sin.f64 x) 2)))) (+.f64 3 (.f64 3/2 (+.f64 (-.f64 3 (sqrt.f64 5)) (/.f64 (+.f64 -1 (pow.f64 5 3/2)) (/.f64 (+.f64 (sqrt.f64 5) 6) (cos.f64 x)))))))
(.f64 1/3 (/.f64 (+.f64 2 (.f64 -1/16 (.f64 (pow.f64 (sin.f64 y) 2) (.f64 (sqrt.f64 2) (-.f64 1 (cos.f64 y)))))) (+.f64 1 (+.f64 (.f64 (-.f64 3/2 (.f64 1/2 (sqrt.f64 5))) (cos.f64 y)) (.f64 (cos.f64 x) (-.f64 (.f64 1/2 (sqrt.f64 5)) 1/2))))))
(.f64 1/3 (/.f64 (+.f64 2 (.f64 (sqrt.f64 2) (.f64 (.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1)) -1/16))) (+.f64 1 (+.f64 (.f64 (-.f64 3/2 (.f64 1/2 (sqrt.f64 5))) (cos.f64 y)) (.f64 (cos.f64 x) (-.f64 (.f64 1/2 (sqrt.f64 5)) 1/2))))))
(.f64 1/3 (/.f64 (+.f64 2 (.f64 (sqrt.f64 2) (.f64 (.f64 (pow.f64 (sin.f64 x) 2) (.f64 1/24 (pow.f64 x 4))) -1/16))) (+.f64 1 (+.f64 (.f64 (-.f64 3/2 (.f64 1/2 (sqrt.f64 5))) (cos.f64 y)) (.f64 (cos.f64 x) (-.f64 (*.f64 1/2 (sqrt.f64 5)) 1/2))))))
(.f64 1/3 (/.f64 (+.f64 2 (.f64 (sqrt.f64 2) (.f64 (.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1)) -1/16))) (+.f64 1 (+.f64 (.f64 (/.f64 1 (+.f64 3/2 (.f64 1/2 (sqrt.f64 5)))) (cos.f64 y)) (.f64 (cos.f64 x) (-.f64 (.f64 1/2 (sqrt.f64 5)) 1/2))))))
(.f64 1/3 (/.f64 (+.f64 2 (.f64 (sqrt.f64 2) (.f64 (.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (.f64 x (.f64 x -1/2)) (.f64 1/24 (pow.f64 x 4)))) -1/16))) (+.f64 1 (+.f64 (.f64 (-.f64 3/2 (.f64 1/2 (sqrt.f64 5))) (cos.f64 y)) (.f64 (cos.f64 x) (-.f64 (*.f64 1/2 (sqrt.f64 5)) 1/2))))))
(/.f64 1/3 (/.f64 (+.f64 1/2 (fma.f64 (cos.f64 y) (-.f64 3/2 (sqrt.f64 5/4)) (sqrt.f64 5/4))) (fma.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2))) -1/16 2)))
(/.f64 (.f64 (fma.f64 -1/16 (.f64 (-.f64 1 (cos.f64 y)) (*.f64 (sqrt.f64 2) (pow.f64 (sin.f64 y) 2))) 2) -1/3) (-.f64 -1/2 (fma.f64 (cos.f64 y) (-.f64 3/2 (sqrt.f64 5/4)) (sqrt.f64 5/4))))
(/.f64 (fma.f64 -1/16 (.f64 (pow.f64 (sin.f64 x) 2) (.f64 (+.f64 (cos.f64 x) -1) (sqrt.f64 2))) 2) (fma.f64 3/2 (-.f64 3 (+.f64 (sqrt.f64 5) (*.f64 (-.f64 1 (sqrt.f64 5)) (cos.f64 x)))) 3))
(/.f64 (+.f64 2 (.f64 (.f64 -1/16 (sqrt.f64 2)) (.f64 (+.f64 (cos.f64 x) -1) (pow.f64 (sin.f64 x) 2)))) (+.f64 3 (.f64 3/2 (fabs.f64 (-.f64 (fma.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1) 3) (sqrt.f64 5))))))
(/.f64 (+.f64 2 (.f64 (.f64 -1/16 (sqrt.f64 2)) (.f64 (+.f64 (cos.f64 x) -1) (pow.f64 (sin.f64 x) 2)))) (+.f64 3 (.f64 3/2 (+.f64 (-.f64 3 (sqrt.f64 5)) (pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1))) 3)))))
(.f64 1/3 (/.f64 (+.f64 2 (.f64 (sqrt.f64 2) (.f64 (.f64 (pow.f64 (sin.f64 x) 2) (fabs.f64 (+.f64 (cos.f64 x) -1))) -1/16))) (+.f64 1 (+.f64 (.f64 (-.f64 3/2 (.f64 1/2 (sqrt.f64 5))) (cos.f64 y)) (.f64 (cos.f64 x) (-.f64 (.f64 1/2 (sqrt.f64 5)) 1/2))))))
(/.f64 (+.f64 2 (.f64 (.f64 (sqrt.f64 2) (.f64 -1/16 (sin.f64 y))) (.f64 (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16)) (-.f64 (cos.f64 x) (cos.f64 y))))) (.f64 3 (+.f64 1 (-.f64 (+.f64 3/2 (.f64 (cos.f64 x) (-.f64 (.f64 1/2 (sqrt.f64 5)) 1/2))) (.f64 1/2 (sqrt.f64 5))))))
(/.f64 (+.f64 2 (.f64 (.f64 (sqrt.f64 2) (.f64 -1/16 (sin.f64 y))) (.f64 (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16)) (-.f64 (cos.f64 x) (cos.f64 y))))) (.f64 3 (+.f64 1 (-.f64 (+.f64 (.f64 1/2 (sqrt.f64 5)) (.f64 (-.f64 3/2 (.f64 1/2 (sqrt.f64 5))) (cos.f64 y))) 1/2))))
(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (sin.f64 y)) -1/16) (.f64 (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16)) (-.f64 (cos.f64 x) (cos.f64 y))))) (.f64 3 (+.f64 1 (-.f64 (+.f64 (.f64 1/2 (sqrt.f64 5)) (.f64 (-.f64 3/2 (.f64 1/2 (sqrt.f64 5))) (cos.f64 y))) 1/2))))
(.f64 1/3 (/.f64 (+.f64 2 (.f64 (sqrt.f64 2) (.f64 (.f64 (pow.f64 (sin.f64 x) 2) (fma.f64 1/24 (pow.f64 x 4) (.f64 -1/2 (.f64 x x)))) -1/16))) (+.f64 1 (+.f64 (.f64 (-.f64 3/2 (.f64 1/2 (sqrt.f64 5))) (cos.f64 y)) (.f64 (cos.f64 x) (-.f64 (.f64 1/2 (sqrt.f64 5)) 1/2))))))
(.f64 1/3 (/.f64 (+.f64 2 (.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))) (.f64 (-.f64 (cos.f64 x) 1) (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x))))))) (+.f64 1 (-.f64 (+.f64 3/2 (.f64 (cos.f64 x) (-.f64 (.f64 1/2 (sqrt.f64 5)) 1/2))) (*.f64 1/2 (sqrt.f64 5))))))
(.f64 1/3 (/.f64 (+.f64 2 (.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))) (.f64 (-.f64 (cos.f64 x) 1) (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x))))))) (+.f64 1 (-.f64 (+.f64 (.f64 1/2 (sqrt.f64 5)) (.f64 (-.f64 3/2 (*.f64 1/2 (sqrt.f64 5))) (cos.f64 y))) 1/2))))
(/.f64 (+.f64 2 (.f64 (.f64 (sqrt.f64 2) (.f64 -1/16 (sin.f64 y))) (.f64 (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16)) (-.f64 1 (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 (+.f64 2 (.f64 (.f64 (sqrt.f64 2) (.f64 -1/16 (sin.f64 y))) (.f64 (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16)) (-.f64 (cos.f64 x) 1)))) (.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 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 1/2 (+.f64 (.f64 1/2 (sqrt.f64 5)) (.f64 (/.f64 (-.f64 9/4 (.f64 (.f64 (sqrt.f64 5) -1/2) (.f64 (sqrt.f64 5) -1/2))) (-.f64 3/2 (.f64 (sqrt.f64 5) -1/2))) (cos.f64 y))))))
(.f64 1/3 (/.f64 (fma.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2))) 2) (+.f64 1/2 (fma.f64 (cos.f64 y) (fma.f64 (sqrt.f64 5) -1/2 3/2) (.f64 1/2 (sqrt.f64 5))))))
(.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 (fma.f64 -1/16 (.f64 (-.f64 1 (cos.f64 y)) (.f64 (pow.f64 (sin.f64 y) 2) (sqrt.f64 2))) 2) (+.f64 (fma.f64 3/2 (*.f64 (cos.f64 y) (-.f64 3 (sqrt.f64 5))) 3) (fma.f64 3/2 (sqrt.f64 5) -3/2)))
(/.f64 (+.f64 2 (.f64 (.f64 -1/16 (sqrt.f64 2)) (.f64 (+.f64 (cos.f64 x) -1) (pow.f64 (sin.f64 x) 2)))) (+.f64 3 (.f64 3/2 (expm1.f64 (log1p.f64 (fma.f64 (cos.f64 x) (+.f64 -1 (sqrt.f64 5)) (-.f64 3 (sqrt.f64 5))))))))
(.f64 1/3 (/.f64 (+.f64 2 (.f64 (sqrt.f64 2) (.f64 (.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1)) -1/16))) (+.f64 1 (+.f64 (.f64 (-.f64 3/2 (.f64 1/2 (sqrt.f64 5))) (cos.f64 y)) (sqrt.f64 (pow.f64 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) -1/2)) 2))))))
(.f64 1/3 (/.f64 (+.f64 2 (.f64 (sqrt.f64 2) (.f64 (.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1)) -1/16))) (+.f64 1 (+.f64 (.f64 (-.f64 3/2 (.f64 1/2 (sqrt.f64 5))) (cos.f64 y)) (pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) -1/2))) 3)))))
(/.f64 (+.f64 2 (.f64 (.f64 (sqrt.f64 2) (sin.f64 x)) (.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 (sqrt.f64 5/4) 1/2)) (*.f64 (cos.f64 y) (/.f64 1 (+.f64 3/2 (sqrt.f64 5/4))))))))
(/.f64 (+.f64 2 (.f64 (.f64 (sqrt.f64 2) (sin.f64 x)) (.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 (+.f64 2 (.f64 (.f64 (sqrt.f64 2) (sin.f64 x)) (.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 1 (+.f64 3/2 (sqrt.f64 5/4))))))))
(/.f64 (+.f64 2 (.f64 (.f64 (sqrt.f64 2) (.f64 -1/16 (sin.f64 y))) (.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 (sqrt.f64 5/4)))))))
(/.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 y) (+.f64 (sqrt.f64 5/4) 3/2)) (/.f64 1 (+.f64 (sqrt.f64 5/4) 1/2))))))
(/.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 (/.f64 (cos.f64 y) (+.f64 (sqrt.f64 5/4) 3/2)) (*.f64 1/2 (sqrt.f64 5))) 1/2))))
(/.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 (log.f64 (+.f64 1 (expm1.f64 (.f64 (sqrt.f64 2) (.f64 -1/16 (sin.f64 y)))))) (.f64 (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16)) (-.f64 1 (cos.f64 y))))) (.f64 3 (+.f64 1 (-.f64 (+.f64 (.f64 1/2 (sqrt.f64 5)) (.f64 (-.f64 3/2 (.f64 1/2 (sqrt.f64 5))) (cos.f64 y))) 1/2))))
(/.f64 (+.f64 2 (.f64 (.f64 (sqrt.f64 2) (.f64 -1/16 (sin.f64 y))) (.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 (+.f64 2 (.f64 (.f64 (sqrt.f64 2) (.f64 -1/16 (sin.f64 y))) (.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 1 (+.f64 3/2 (sqrt.f64 5/4))))))))
(/.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 1 (cos.f64 y))))) (.f64 3 (+.f64 1 (+.f64 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) 1/2)) (*.f64 (cos.f64 y) (/.f64 1 (+.f64 3/2 (sqrt.f64 5/4))))))))
(/.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) 1)))) (.f64 3 (+.f64 1 (+.f64 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) 1/2)) (*.f64 (cos.f64 y) (/.f64 1 (+.f64 3/2 (sqrt.f64 5/4))))))))
(/.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 3/2 (.f64 (cos.f64 x) (-.f64 (.f64 1/2 (sqrt.f64 5)) 1/2))) (*.f64 1/2 (sqrt.f64 5))))))
(/.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 1/2 (-.f64 (sqrt.f64 5) 1))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
(.f64 1/3 (/.f64 (+.f64 2 (.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))) (.f64 (-.f64 (cos.f64 x) 1) (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x))))))) (+.f64 1 (+.f64 (.f64 (-.f64 3/2 (.f64 1/2 (sqrt.f64 5))) (cos.f64 y)) (.f64 (cos.f64 x) (-.f64 (.f64 1/2 (sqrt.f64 5)) 1/2))))))
(/.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 1 (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 (+.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 1 (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 1 (+.f64 3/2 (sqrt.f64 5/4))))))))
(/.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) 1)))) (.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 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 1 (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))

Outputs

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

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

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

Calls

2 calls:

204.0ms	x
142.0ms	y

Results

Error	Segments	Branch
11.1b	3	`x`
11.9b	3	`y`

Compiler

Compiled 3076 to 2382 computations (22.6% saved)

bsearch211.0ms (0.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
79.0ms	0.06246404786026114	1.8035295730049339
131.0ms	-4.42537402835133e+28	-1.0592147902724063e-17

Results

90.0ms	73×	body	1024	valid
85.0ms	200×	body	256	valid
24.0ms	31×	body	512	valid

Compiler

Compiled 1895 to 1502 computations (20.7% saved)

regimes278.0ms (0.9%)

Counts

80 → 3

Calls

Call 1

Inputs
1/3
(+.f64 1/3 (.f64 1/12 (.f64 (.f64 y y) (-.f64 3/2 (.f64 1/2 (sqrt.f64 5))))))
(+.f64 (sqrt.f64 (*.f64 (pow.f64 x 8) 1/18432)) 1/3)
(+.f64 (.f64 1/192 (.f64 (sqrt.f64 2) (pow.f64 x 4))) 1/3)
(+.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 x 4) 1/192)) 1/3)
(/.f64 (+.f64 2 (.f64 (sqrt.f64 2) (.f64 (pow.f64 x 4) 1/32))) (+.f64 3 (*.f64 3/2 2)))
(+.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 (sqrt.f64 2) 1/192)) (*.f64 x x)) 2) 1/3)
(/.f64 2/3 (+.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 (+.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 (/.f64 (cos.f64 y) (+.f64 (sqrt.f64 5/4) 3/2)) (*.f64 1/2 (sqrt.f64 5))) 1/2))))
(/.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 (log.f64 (+.f64 1 (expm1.f64 (.f64 (sqrt.f64 2) (.f64 -1/16 (sin.f64 y)))))) (.f64 (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16)) (-.f64 1 (cos.f64 y))))) (.f64 3 (+.f64 1 (-.f64 (+.f64 (.f64 1/2 (sqrt.f64 5)) (.f64 (-.f64 3/2 (.f64 1/2 (sqrt.f64 5))) (cos.f64 y))) 1/2))))
(/.f64 (+.f64 2 (.f64 (.f64 (sqrt.f64 2) (.f64 -1/16 (sin.f64 y))) (.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 (+.f64 2 (.f64 (.f64 (sqrt.f64 2) (.f64 -1/16 (sin.f64 y))) (.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 1 (+.f64 3/2 (sqrt.f64 5/4))))))))

Outputs

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

(/.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 y) (+.f64 (sqrt.f64 5/4) 3/2)) (/.f64 1 (+.f64 (sqrt.f64 5/4) 1/2))))))

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

Calls

2 calls:

105.0ms	x
102.0ms	y

Results

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

Compiler

Compiled 2643 to 2077 computations (21.4% saved)

bsearch260.0ms (0.9%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
103.0ms	0.06246404786026114	1.8035295730049339
156.0ms	-4.42537402835133e+28	-1.0592147902724063e-17

Results

159.0ms	74×	body	1024	valid
65.0ms	193×	body	256	valid
26.0ms	37×	body	512	valid

Compiler

Compiled 1857 to 1464 computations (21.2% saved)

regimes356.0ms (1.2%)

Counts

74 → 3

Calls

Call 1

Inputs
1/3
(+.f64 1/3 (.f64 1/12 (.f64 (.f64 y y) (-.f64 3/2 (.f64 1/2 (sqrt.f64 5))))))
(+.f64 (sqrt.f64 (*.f64 (pow.f64 x 8) 1/18432)) 1/3)
(+.f64 (.f64 1/192 (.f64 (sqrt.f64 2) (pow.f64 x 4))) 1/3)
(+.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 x 4) 1/192)) 1/3)
(/.f64 (+.f64 2 (.f64 (sqrt.f64 2) (.f64 (pow.f64 x 4) 1/32))) (+.f64 3 (*.f64 3/2 2)))
(+.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 (sqrt.f64 2) 1/192)) (*.f64 x x)) 2) 1/3)
(/.f64 2/3 (+.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 2 (.f64 (-.f64 1/2 (/.f64 (cos.f64 (+.f64 x x)) 2)) (.f64 (sqrt.f64 1/128) (+.f64 (cos.f64 x) -1)))) (+.f64 3 (*.f64 3/2 2)))
(/.f64 (+.f64 2 (.f64 (.f64 -1/16 (sqrt.f64 2)) (.f64 (+.f64 (cos.f64 x) -1) (-.f64 1/2 (/.f64 (cos.f64 (+.f64 x x)) 2))))) (+.f64 3 (.f64 3/2 2)))
(+.f64 (.f64 1/192 (exp.f64 (log.f64 (.f64 (sqrt.f64 2) (pow.f64 x 4))))) 1/3)
(+.f64 (-.f64 (exp.f64 (log1p.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 x 4) 1/192)))) 1) 1/3)
(.f64 (-.f64 -2 (.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (sqrt.f64 1/128) (+.f64 (cos.f64 x) -1)))) -1/6)
(+.f64 1/3 (.f64 (.f64 (sqrt.f64 2) (*.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1))) -1/96))
(/.f64 (+.f64 2 (.f64 (.f64 -1/16 (sqrt.f64 2)) (.f64 (+.f64 (cos.f64 x) -1) (pow.f64 (sin.f64 x) 2)))) (+.f64 3 (.f64 3/2 2)))
(/.f64 2/3 (+.f64 1/2 (fma.f64 (fma.f64 -1/2 (sqrt.f64 5) 3/2) (cos.f64 y) (*.f64 1/2 (sqrt.f64 5)))))
(/.f64 (+.f64 2 (.f64 (.f64 -1/16 (sqrt.f64 2)) (.f64 (+.f64 (cos.f64 x) -1) (+.f64 (.f64 -1/3 (pow.f64 x 4)) (+.f64 (.f64 2/45 (pow.f64 x 6)) (pow.f64 x 2)))))) (+.f64 3 (.f64 3/2 2)))
(/.f64 (+.f64 2 (.f64 (.f64 -1/16 (sqrt.f64 2)) (.f64 (+.f64 (cos.f64 x) -1) (pow.f64 (sin.f64 x) 2)))) (+.f64 3 (.f64 3/2 (+.f64 2 (.f64 -1/2 (.f64 (*.f64 x x) (+.f64 (sqrt.f64 5) -1)))))))
(/.f64 2/3 (fma.f64 (fma.f64 -1/2 (sqrt.f64 5) 3/2) (cos.f64 y) (fma.f64 1/2 (sqrt.f64 5) 1/2)))
(/.f64 (+.f64 2 (.f64 (.f64 -1/16 (sqrt.f64 2)) (.f64 (log1p.f64 (expm1.f64 (+.f64 (cos.f64 x) -1))) (pow.f64 (sin.f64 x) 2)))) (+.f64 3 (.f64 3/2 2)))
(/.f64 (+.f64 2 (.f64 (.f64 -1/16 (sqrt.f64 2)) (.f64 (pow.f64 (cbrt.f64 (+.f64 (cos.f64 x) -1)) 3) (pow.f64 (sin.f64 x) 2)))) (+.f64 3 (.f64 3/2 2)))
(/.f64 (+.f64 2 (.f64 (.f64 -1/16 (sqrt.f64 2)) (.f64 (.f64 -1/2 (.f64 x x)) (pow.f64 (sin.f64 x) 2)))) (+.f64 3 (.f64 3/2 (+.f64 (-.f64 3 (sqrt.f64 5)) (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1))))))
(.f64 1/3 (/.f64 (+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (.f64 1/2 (.f64 y y)) (pow.f64 (sin.f64 y) 2)))) 2) (+.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 (cbrt.f64 (.f64 (fma.f64 (sqrt.f64 1/128) (.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1)) 2) 1/6)) 3)
(-.f64 (exp.f64 (log1p.f64 (.f64 (fma.f64 (sqrt.f64 1/128) (.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1)) 2) 1/6))) 1)
(/.f64 (+.f64 2 (.f64 (.f64 -1/16 (sqrt.f64 2)) (.f64 (+.f64 (cos.f64 x) -1) (pow.f64 (sin.f64 x) 2)))) (+.f64 3 (.f64 3/2 (+.f64 (-.f64 3 (sqrt.f64 5)) (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1))))))
(/.f64 (+.f64 2 (.f64 (.f64 -1/16 (sqrt.f64 2)) (.f64 (+.f64 (cos.f64 x) -1) (pow.f64 (sin.f64 x) 2)))) (+.f64 3 (.f64 3/2 (-.f64 3 (-.f64 (sqrt.f64 5) (*.f64 (cos.f64 x) (+.f64 -1 (sqrt.f64 5))))))))
(/.f64 (+.f64 2 (.f64 (.f64 -1/16 (sqrt.f64 2)) (.f64 (+.f64 (cos.f64 x) -1) (pow.f64 (sin.f64 x) 2)))) (+.f64 3 (.f64 3/2 (-.f64 (+.f64 3 (*.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))) (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 (+.f64 5/2 (.f64 (cos.f64 x) (-.f64 (.f64 1/2 (sqrt.f64 5)) 1/2))) (*.f64 1/2 (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 1/2 (+.f64 (.f64 1/2 (sqrt.f64 5)) (.f64 (-.f64 3/2 (*.f64 1/2 (sqrt.f64 5))) (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 3/2 (.f64 (-.f64 3 (sqrt.f64 5)) (cos.f64 y))))))
(/.f64 (+.f64 2 (.f64 (.f64 -1/16 (sqrt.f64 2)) (.f64 (+.f64 (cos.f64 x) -1) (pow.f64 (sin.f64 x) 2)))) (+.f64 3 (.f64 3/2 (+.f64 (-.f64 3 (sqrt.f64 5)) (/.f64 (cos.f64 x) (/.f64 1 (+.f64 (sqrt.f64 5) -1)))))))
(/.f64 (+.f64 2 (.f64 (.f64 -1/16 (sqrt.f64 2)) (.f64 (+.f64 (cos.f64 x) -1) (pow.f64 (sin.f64 x) 2)))) (+.f64 3 (.f64 3/2 (+.f64 (-.f64 3 (sqrt.f64 5)) (/.f64 (*.f64 (cos.f64 x) 4) (+.f64 (sqrt.f64 5) 1))))))
(.f64 1/3 (/.f64 (+.f64 2 (.f64 (sqrt.f64 2) (.f64 (.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1)) -1/16))) (+.f64 1 (-.f64 (+.f64 3/2 (.f64 (cos.f64 x) (-.f64 (.f64 1/2 (sqrt.f64 5)) 1/2))) (*.f64 1/2 (sqrt.f64 5))))))
(.f64 1/3 (/.f64 (+.f64 2 (.f64 (sqrt.f64 2) (.f64 (.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1)) -1/16))) (+.f64 1 (-.f64 (+.f64 (.f64 1/2 (sqrt.f64 5)) (.f64 (-.f64 3/2 (*.f64 1/2 (sqrt.f64 5))) (cos.f64 y))) 1/2))))
(.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 1/2 (+.f64 (.f64 1/2 (sqrt.f64 5)) (.f64 (/.f64 1 (+.f64 3/2 (*.f64 1/2 (sqrt.f64 5)))) (cos.f64 y))))))
(.f64 1/3 (/.f64 (+.f64 2 (.f64 (sqrt.f64 2) (.f64 (.f64 (pow.f64 (sin.f64 x) 2) (.f64 -1/2 (.f64 x x))) -1/16))) (+.f64 1 (+.f64 (.f64 (-.f64 3/2 (.f64 1/2 (sqrt.f64 5))) (cos.f64 y)) (.f64 (cos.f64 x) (-.f64 (.f64 1/2 (sqrt.f64 5)) 1/2))))))
(.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 5/2 (-.f64 (.f64 (fma.f64 1/2 (sqrt.f64 5) -1/2) (cos.f64 x)) (.f64 1/2 (sqrt.f64 5))))))
(/.f64 (+.f64 2 (.f64 (.f64 -1/16 (sqrt.f64 2)) (.f64 (fabs.f64 (+.f64 (cos.f64 x) -1)) (pow.f64 (sin.f64 x) 2)))) (+.f64 3 (.f64 3/2 (+.f64 (-.f64 3 (sqrt.f64 5)) (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1))))))
(/.f64 (+.f64 2 (.f64 (.f64 -1/16 (sqrt.f64 2)) (.f64 (+.f64 (cos.f64 x) -1) (pow.f64 (sin.f64 x) 2)))) (+.f64 3 (.f64 3/2 (+.f64 (-.f64 3 (sqrt.f64 5)) (fabs.f64 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)))))))
(/.f64 (+.f64 2 (.f64 (.f64 -1/16 (sqrt.f64 2)) (.f64 (+.f64 (cos.f64 x) -1) (pow.f64 (sin.f64 x) 2)))) (+.f64 3 (.f64 3/2 (+.f64 (-.f64 3 (sqrt.f64 5)) (+.f64 (*.f64 (cos.f64 x) (sqrt.f64 5)) (neg.f64 (cos.f64 x)))))))
(.f64 1/3 (/.f64 (+.f64 2 (.f64 (sqrt.f64 2) (.f64 (.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1)) -1/16))) (+.f64 1 (+.f64 (.f64 (-.f64 3/2 (.f64 1/2 (sqrt.f64 5))) (cos.f64 y)) (*.f64 (cos.f64 x) (+.f64 -1/2 (sqrt.f64 5/4)))))))
(.f64 1/3 (/.f64 (+.f64 2 (.f64 (sqrt.f64 2) (.f64 (.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1)) -1/16))) (+.f64 1 (+.f64 (.f64 (-.f64 3/2 (.f64 1/2 (sqrt.f64 5))) (cos.f64 y)) (/.f64 (cos.f64 x) (+.f64 1/2 (sqrt.f64 5/4)))))))
(/.f64 (+.f64 2 (.f64 (.f64 -1/16 (sqrt.f64 2)) (.f64 (+.f64 (cos.f64 x) -1) (pow.f64 (sin.f64 x) 2)))) (+.f64 3 (.f64 3/2 (+.f64 (-.f64 3 (sqrt.f64 5)) (/.f64 (+.f64 -1 (pow.f64 5 3/2)) (/.f64 (+.f64 (sqrt.f64 5) 6) (cos.f64 x)))))))
(.f64 1/3 (/.f64 (+.f64 2 (.f64 -1/16 (.f64 (pow.f64 (sin.f64 y) 2) (.f64 (sqrt.f64 2) (-.f64 1 (cos.f64 y)))))) (+.f64 1 (+.f64 (.f64 (-.f64 3/2 (.f64 1/2 (sqrt.f64 5))) (cos.f64 y)) (.f64 (cos.f64 x) (-.f64 (.f64 1/2 (sqrt.f64 5)) 1/2))))))
(.f64 1/3 (/.f64 (+.f64 2 (.f64 (sqrt.f64 2) (.f64 (.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1)) -1/16))) (+.f64 1 (+.f64 (.f64 (-.f64 3/2 (.f64 1/2 (sqrt.f64 5))) (cos.f64 y)) (.f64 (cos.f64 x) (-.f64 (.f64 1/2 (sqrt.f64 5)) 1/2))))))
(.f64 1/3 (/.f64 (+.f64 2 (.f64 (sqrt.f64 2) (.f64 (.f64 (pow.f64 (sin.f64 x) 2) (.f64 1/24 (pow.f64 x 4))) -1/16))) (+.f64 1 (+.f64 (.f64 (-.f64 3/2 (.f64 1/2 (sqrt.f64 5))) (cos.f64 y)) (.f64 (cos.f64 x) (-.f64 (*.f64 1/2 (sqrt.f64 5)) 1/2))))))
(.f64 1/3 (/.f64 (+.f64 2 (.f64 (sqrt.f64 2) (.f64 (.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1)) -1/16))) (+.f64 1 (+.f64 (.f64 (/.f64 1 (+.f64 3/2 (.f64 1/2 (sqrt.f64 5)))) (cos.f64 y)) (.f64 (cos.f64 x) (-.f64 (.f64 1/2 (sqrt.f64 5)) 1/2))))))
(.f64 1/3 (/.f64 (+.f64 2 (.f64 (sqrt.f64 2) (.f64 (.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (.f64 x (.f64 x -1/2)) (.f64 1/24 (pow.f64 x 4)))) -1/16))) (+.f64 1 (+.f64 (.f64 (-.f64 3/2 (.f64 1/2 (sqrt.f64 5))) (cos.f64 y)) (.f64 (cos.f64 x) (-.f64 (*.f64 1/2 (sqrt.f64 5)) 1/2))))))
(/.f64 1/3 (/.f64 (+.f64 1/2 (fma.f64 (cos.f64 y) (-.f64 3/2 (sqrt.f64 5/4)) (sqrt.f64 5/4))) (fma.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2))) -1/16 2)))
(/.f64 (.f64 (fma.f64 -1/16 (.f64 (-.f64 1 (cos.f64 y)) (*.f64 (sqrt.f64 2) (pow.f64 (sin.f64 y) 2))) 2) -1/3) (-.f64 -1/2 (fma.f64 (cos.f64 y) (-.f64 3/2 (sqrt.f64 5/4)) (sqrt.f64 5/4))))
(/.f64 (fma.f64 -1/16 (.f64 (pow.f64 (sin.f64 x) 2) (.f64 (+.f64 (cos.f64 x) -1) (sqrt.f64 2))) 2) (fma.f64 3/2 (-.f64 3 (+.f64 (sqrt.f64 5) (*.f64 (-.f64 1 (sqrt.f64 5)) (cos.f64 x)))) 3))
(/.f64 (+.f64 2 (.f64 (.f64 -1/16 (sqrt.f64 2)) (.f64 (+.f64 (cos.f64 x) -1) (pow.f64 (sin.f64 x) 2)))) (+.f64 3 (.f64 3/2 (fabs.f64 (-.f64 (fma.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1) 3) (sqrt.f64 5))))))
(/.f64 (+.f64 2 (.f64 (.f64 -1/16 (sqrt.f64 2)) (.f64 (+.f64 (cos.f64 x) -1) (pow.f64 (sin.f64 x) 2)))) (+.f64 3 (.f64 3/2 (+.f64 (-.f64 3 (sqrt.f64 5)) (pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1))) 3)))))
(.f64 1/3 (/.f64 (+.f64 2 (.f64 (sqrt.f64 2) (.f64 (.f64 (pow.f64 (sin.f64 x) 2) (fabs.f64 (+.f64 (cos.f64 x) -1))) -1/16))) (+.f64 1 (+.f64 (.f64 (-.f64 3/2 (.f64 1/2 (sqrt.f64 5))) (cos.f64 y)) (.f64 (cos.f64 x) (-.f64 (.f64 1/2 (sqrt.f64 5)) 1/2))))))
(/.f64 (+.f64 2 (.f64 (.f64 (sqrt.f64 2) (.f64 -1/16 (sin.f64 y))) (.f64 (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16)) (-.f64 (cos.f64 x) (cos.f64 y))))) (.f64 3 (+.f64 1 (-.f64 (+.f64 3/2 (.f64 (cos.f64 x) (-.f64 (.f64 1/2 (sqrt.f64 5)) 1/2))) (.f64 1/2 (sqrt.f64 5))))))
(/.f64 (+.f64 2 (.f64 (.f64 (sqrt.f64 2) (.f64 -1/16 (sin.f64 y))) (.f64 (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16)) (-.f64 (cos.f64 x) (cos.f64 y))))) (.f64 3 (+.f64 1 (-.f64 (+.f64 (.f64 1/2 (sqrt.f64 5)) (.f64 (-.f64 3/2 (.f64 1/2 (sqrt.f64 5))) (cos.f64 y))) 1/2))))
(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (sin.f64 y)) -1/16) (.f64 (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16)) (-.f64 (cos.f64 x) (cos.f64 y))))) (.f64 3 (+.f64 1 (-.f64 (+.f64 (.f64 1/2 (sqrt.f64 5)) (.f64 (-.f64 3/2 (.f64 1/2 (sqrt.f64 5))) (cos.f64 y))) 1/2))))
(.f64 1/3 (/.f64 (+.f64 2 (.f64 (sqrt.f64 2) (.f64 (.f64 (pow.f64 (sin.f64 x) 2) (fma.f64 1/24 (pow.f64 x 4) (.f64 -1/2 (.f64 x x)))) -1/16))) (+.f64 1 (+.f64 (.f64 (-.f64 3/2 (.f64 1/2 (sqrt.f64 5))) (cos.f64 y)) (.f64 (cos.f64 x) (-.f64 (.f64 1/2 (sqrt.f64 5)) 1/2))))))
(.f64 1/3 (/.f64 (+.f64 2 (.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))) (.f64 (-.f64 (cos.f64 x) 1) (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x))))))) (+.f64 1 (-.f64 (+.f64 3/2 (.f64 (cos.f64 x) (-.f64 (.f64 1/2 (sqrt.f64 5)) 1/2))) (*.f64 1/2 (sqrt.f64 5))))))
(.f64 1/3 (/.f64 (+.f64 2 (.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))) (.f64 (-.f64 (cos.f64 x) 1) (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x))))))) (+.f64 1 (-.f64 (+.f64 (.f64 1/2 (sqrt.f64 5)) (.f64 (-.f64 3/2 (*.f64 1/2 (sqrt.f64 5))) (cos.f64 y))) 1/2))))
(/.f64 (+.f64 2 (.f64 (.f64 (sqrt.f64 2) (.f64 -1/16 (sin.f64 y))) (.f64 (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16)) (-.f64 1 (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 (+.f64 2 (.f64 (.f64 (sqrt.f64 2) (.f64 -1/16 (sin.f64 y))) (.f64 (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16)) (-.f64 (cos.f64 x) 1)))) (.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 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 1/2 (+.f64 (.f64 1/2 (sqrt.f64 5)) (.f64 (/.f64 (-.f64 9/4 (.f64 (.f64 (sqrt.f64 5) -1/2) (.f64 (sqrt.f64 5) -1/2))) (-.f64 3/2 (.f64 (sqrt.f64 5) -1/2))) (cos.f64 y))))))
(.f64 1/3 (/.f64 (fma.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2))) 2) (+.f64 1/2 (fma.f64 (cos.f64 y) (fma.f64 (sqrt.f64 5) -1/2 3/2) (.f64 1/2 (sqrt.f64 5))))))
(.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 (fma.f64 -1/16 (.f64 (-.f64 1 (cos.f64 y)) (.f64 (pow.f64 (sin.f64 y) 2) (sqrt.f64 2))) 2) (+.f64 (fma.f64 3/2 (*.f64 (cos.f64 y) (-.f64 3 (sqrt.f64 5))) 3) (fma.f64 3/2 (sqrt.f64 5) -3/2)))
(/.f64 (+.f64 2 (.f64 (.f64 -1/16 (sqrt.f64 2)) (.f64 (+.f64 (cos.f64 x) -1) (pow.f64 (sin.f64 x) 2)))) (+.f64 3 (.f64 3/2 (expm1.f64 (log1p.f64 (fma.f64 (cos.f64 x) (+.f64 -1 (sqrt.f64 5)) (-.f64 3 (sqrt.f64 5))))))))
(.f64 1/3 (/.f64 (+.f64 2 (.f64 (sqrt.f64 2) (.f64 (.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1)) -1/16))) (+.f64 1 (+.f64 (.f64 (-.f64 3/2 (.f64 1/2 (sqrt.f64 5))) (cos.f64 y)) (sqrt.f64 (pow.f64 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) -1/2)) 2))))))
(.f64 1/3 (/.f64 (+.f64 2 (.f64 (sqrt.f64 2) (.f64 (.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1)) -1/16))) (+.f64 1 (+.f64 (.f64 (-.f64 3/2 (.f64 1/2 (sqrt.f64 5))) (cos.f64 y)) (pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) -1/2))) 3)))))
(/.f64 (+.f64 2 (.f64 (.f64 (sqrt.f64 2) (sin.f64 x)) (.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 (sqrt.f64 5/4) 1/2)) (*.f64 (cos.f64 y) (/.f64 1 (+.f64 3/2 (sqrt.f64 5/4))))))))
(/.f64 (+.f64 2 (.f64 (.f64 (sqrt.f64 2) (sin.f64 x)) (.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 (+.f64 2 (.f64 (.f64 (sqrt.f64 2) (sin.f64 x)) (.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 1 (+.f64 3/2 (sqrt.f64 5/4))))))))
(/.f64 (+.f64 2 (.f64 (.f64 (sqrt.f64 2) (.f64 -1/16 (sin.f64 y))) (.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 (sqrt.f64 5/4)))))))

Outputs

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

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

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

Calls

2 calls:

176.0ms	y
119.0ms	x

Results

Error	Segments	Branch
11.3b	3	`x`
12.1b	3	`y`

Compiler

Compiled 2367 to 1886 computations (20.3% saved)

bsearch238.0ms (0.8%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
73.0ms	4.762436783060212e-23	2.3495847454968546e-22
163.0ms	-4.42537402835133e+28	-1.0592147902724063e-17

Results

148.0ms	75×	body	1024	valid
55.0ms	173×	body	256	valid
27.0ms	40×	body	512	valid

Compiler

Compiled 1581 to 1316 computations (16.8% saved)

regimes307.0ms (1%)

Counts

72 → 3

Calls

Call 1

Inputs
1/3
(+.f64 1/3 (.f64 1/12 (.f64 (.f64 y y) (-.f64 3/2 (.f64 1/2 (sqrt.f64 5))))))
(+.f64 (sqrt.f64 (*.f64 (pow.f64 x 8) 1/18432)) 1/3)
(+.f64 (.f64 1/192 (.f64 (sqrt.f64 2) (pow.f64 x 4))) 1/3)
(+.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 x 4) 1/192)) 1/3)
(/.f64 (+.f64 2 (.f64 (sqrt.f64 2) (.f64 (pow.f64 x 4) 1/32))) (+.f64 3 (*.f64 3/2 2)))
(+.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 (sqrt.f64 2) 1/192)) (*.f64 x x)) 2) 1/3)
(/.f64 2/3 (+.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 2 (.f64 (-.f64 1/2 (/.f64 (cos.f64 (+.f64 x x)) 2)) (.f64 (sqrt.f64 1/128) (+.f64 (cos.f64 x) -1)))) (+.f64 3 (*.f64 3/2 2)))
(/.f64 (+.f64 2 (.f64 (.f64 -1/16 (sqrt.f64 2)) (.f64 (+.f64 (cos.f64 x) -1) (-.f64 1/2 (/.f64 (cos.f64 (+.f64 x x)) 2))))) (+.f64 3 (.f64 3/2 2)))
(+.f64 (.f64 1/192 (exp.f64 (log.f64 (.f64 (sqrt.f64 2) (pow.f64 x 4))))) 1/3)
(+.f64 (-.f64 (exp.f64 (log1p.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 x 4) 1/192)))) 1) 1/3)
(.f64 (-.f64 -2 (.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (sqrt.f64 1/128) (+.f64 (cos.f64 x) -1)))) -1/6)
(+.f64 1/3 (.f64 (.f64 (sqrt.f64 2) (*.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1))) -1/96))
(/.f64 (+.f64 2 (.f64 (.f64 -1/16 (sqrt.f64 2)) (.f64 (+.f64 (cos.f64 x) -1) (pow.f64 (sin.f64 x) 2)))) (+.f64 3 (.f64 3/2 2)))
(/.f64 2/3 (+.f64 1/2 (fma.f64 (fma.f64 -1/2 (sqrt.f64 5) 3/2) (cos.f64 y) (*.f64 1/2 (sqrt.f64 5)))))
(/.f64 (+.f64 2 (.f64 (.f64 -1/16 (sqrt.f64 2)) (.f64 (+.f64 (cos.f64 x) -1) (+.f64 (.f64 -1/3 (pow.f64 x 4)) (+.f64 (.f64 2/45 (pow.f64 x 6)) (pow.f64 x 2)))))) (+.f64 3 (.f64 3/2 2)))
(/.f64 (+.f64 2 (.f64 (.f64 -1/16 (sqrt.f64 2)) (.f64 (+.f64 (cos.f64 x) -1) (pow.f64 (sin.f64 x) 2)))) (+.f64 3 (.f64 3/2 (+.f64 2 (.f64 -1/2 (.f64 (*.f64 x x) (+.f64 (sqrt.f64 5) -1)))))))
(/.f64 2/3 (fma.f64 (fma.f64 -1/2 (sqrt.f64 5) 3/2) (cos.f64 y) (fma.f64 1/2 (sqrt.f64 5) 1/2)))
(/.f64 (+.f64 2 (.f64 (.f64 -1/16 (sqrt.f64 2)) (.f64 (log1p.f64 (expm1.f64 (+.f64 (cos.f64 x) -1))) (pow.f64 (sin.f64 x) 2)))) (+.f64 3 (.f64 3/2 2)))
(/.f64 (+.f64 2 (.f64 (.f64 -1/16 (sqrt.f64 2)) (.f64 (pow.f64 (cbrt.f64 (+.f64 (cos.f64 x) -1)) 3) (pow.f64 (sin.f64 x) 2)))) (+.f64 3 (.f64 3/2 2)))
(/.f64 (+.f64 2 (.f64 (.f64 -1/16 (sqrt.f64 2)) (.f64 (.f64 -1/2 (.f64 x x)) (pow.f64 (sin.f64 x) 2)))) (+.f64 3 (.f64 3/2 (+.f64 (-.f64 3 (sqrt.f64 5)) (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1))))))
(.f64 1/3 (/.f64 (+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (.f64 1/2 (.f64 y y)) (pow.f64 (sin.f64 y) 2)))) 2) (+.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 (cbrt.f64 (.f64 (fma.f64 (sqrt.f64 1/128) (.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1)) 2) 1/6)) 3)
(-.f64 (exp.f64 (log1p.f64 (.f64 (fma.f64 (sqrt.f64 1/128) (.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1)) 2) 1/6))) 1)
(/.f64 (+.f64 2 (.f64 (.f64 -1/16 (sqrt.f64 2)) (.f64 (+.f64 (cos.f64 x) -1) (pow.f64 (sin.f64 x) 2)))) (+.f64 3 (.f64 3/2 (+.f64 (-.f64 3 (sqrt.f64 5)) (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1))))))
(/.f64 (+.f64 2 (.f64 (.f64 -1/16 (sqrt.f64 2)) (.f64 (+.f64 (cos.f64 x) -1) (pow.f64 (sin.f64 x) 2)))) (+.f64 3 (.f64 3/2 (-.f64 3 (-.f64 (sqrt.f64 5) (*.f64 (cos.f64 x) (+.f64 -1 (sqrt.f64 5))))))))
(/.f64 (+.f64 2 (.f64 (.f64 -1/16 (sqrt.f64 2)) (.f64 (+.f64 (cos.f64 x) -1) (pow.f64 (sin.f64 x) 2)))) (+.f64 3 (.f64 3/2 (-.f64 (+.f64 3 (*.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))) (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 (+.f64 5/2 (.f64 (cos.f64 x) (-.f64 (.f64 1/2 (sqrt.f64 5)) 1/2))) (*.f64 1/2 (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 1/2 (+.f64 (.f64 1/2 (sqrt.f64 5)) (.f64 (-.f64 3/2 (*.f64 1/2 (sqrt.f64 5))) (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 3/2 (.f64 (-.f64 3 (sqrt.f64 5)) (cos.f64 y))))))
(/.f64 (+.f64 2 (.f64 (.f64 -1/16 (sqrt.f64 2)) (.f64 (+.f64 (cos.f64 x) -1) (pow.f64 (sin.f64 x) 2)))) (+.f64 3 (.f64 3/2 (+.f64 (-.f64 3 (sqrt.f64 5)) (/.f64 (cos.f64 x) (/.f64 1 (+.f64 (sqrt.f64 5) -1)))))))
(/.f64 (+.f64 2 (.f64 (.f64 -1/16 (sqrt.f64 2)) (.f64 (+.f64 (cos.f64 x) -1) (pow.f64 (sin.f64 x) 2)))) (+.f64 3 (.f64 3/2 (+.f64 (-.f64 3 (sqrt.f64 5)) (/.f64 (*.f64 (cos.f64 x) 4) (+.f64 (sqrt.f64 5) 1))))))
(.f64 1/3 (/.f64 (+.f64 2 (.f64 (sqrt.f64 2) (.f64 (.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1)) -1/16))) (+.f64 1 (-.f64 (+.f64 3/2 (.f64 (cos.f64 x) (-.f64 (.f64 1/2 (sqrt.f64 5)) 1/2))) (*.f64 1/2 (sqrt.f64 5))))))
(.f64 1/3 (/.f64 (+.f64 2 (.f64 (sqrt.f64 2) (.f64 (.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1)) -1/16))) (+.f64 1 (-.f64 (+.f64 (.f64 1/2 (sqrt.f64 5)) (.f64 (-.f64 3/2 (*.f64 1/2 (sqrt.f64 5))) (cos.f64 y))) 1/2))))
(.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 1/2 (+.f64 (.f64 1/2 (sqrt.f64 5)) (.f64 (/.f64 1 (+.f64 3/2 (*.f64 1/2 (sqrt.f64 5)))) (cos.f64 y))))))
(.f64 1/3 (/.f64 (+.f64 2 (.f64 (sqrt.f64 2) (.f64 (.f64 (pow.f64 (sin.f64 x) 2) (.f64 -1/2 (.f64 x x))) -1/16))) (+.f64 1 (+.f64 (.f64 (-.f64 3/2 (.f64 1/2 (sqrt.f64 5))) (cos.f64 y)) (.f64 (cos.f64 x) (-.f64 (.f64 1/2 (sqrt.f64 5)) 1/2))))))
(.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 5/2 (-.f64 (.f64 (fma.f64 1/2 (sqrt.f64 5) -1/2) (cos.f64 x)) (.f64 1/2 (sqrt.f64 5))))))
(/.f64 (+.f64 2 (.f64 (.f64 -1/16 (sqrt.f64 2)) (.f64 (fabs.f64 (+.f64 (cos.f64 x) -1)) (pow.f64 (sin.f64 x) 2)))) (+.f64 3 (.f64 3/2 (+.f64 (-.f64 3 (sqrt.f64 5)) (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1))))))
(/.f64 (+.f64 2 (.f64 (.f64 -1/16 (sqrt.f64 2)) (.f64 (+.f64 (cos.f64 x) -1) (pow.f64 (sin.f64 x) 2)))) (+.f64 3 (.f64 3/2 (+.f64 (-.f64 3 (sqrt.f64 5)) (fabs.f64 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)))))))
(/.f64 (+.f64 2 (.f64 (.f64 -1/16 (sqrt.f64 2)) (.f64 (+.f64 (cos.f64 x) -1) (pow.f64 (sin.f64 x) 2)))) (+.f64 3 (.f64 3/2 (+.f64 (-.f64 3 (sqrt.f64 5)) (+.f64 (*.f64 (cos.f64 x) (sqrt.f64 5)) (neg.f64 (cos.f64 x)))))))
(.f64 1/3 (/.f64 (+.f64 2 (.f64 (sqrt.f64 2) (.f64 (.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1)) -1/16))) (+.f64 1 (+.f64 (.f64 (-.f64 3/2 (.f64 1/2 (sqrt.f64 5))) (cos.f64 y)) (*.f64 (cos.f64 x) (+.f64 -1/2 (sqrt.f64 5/4)))))))
(.f64 1/3 (/.f64 (+.f64 2 (.f64 (sqrt.f64 2) (.f64 (.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1)) -1/16))) (+.f64 1 (+.f64 (.f64 (-.f64 3/2 (.f64 1/2 (sqrt.f64 5))) (cos.f64 y)) (/.f64 (cos.f64 x) (+.f64 1/2 (sqrt.f64 5/4)))))))
(/.f64 (+.f64 2 (.f64 (.f64 -1/16 (sqrt.f64 2)) (.f64 (+.f64 (cos.f64 x) -1) (pow.f64 (sin.f64 x) 2)))) (+.f64 3 (.f64 3/2 (+.f64 (-.f64 3 (sqrt.f64 5)) (/.f64 (+.f64 -1 (pow.f64 5 3/2)) (/.f64 (+.f64 (sqrt.f64 5) 6) (cos.f64 x)))))))
(.f64 1/3 (/.f64 (+.f64 2 (.f64 -1/16 (.f64 (pow.f64 (sin.f64 y) 2) (.f64 (sqrt.f64 2) (-.f64 1 (cos.f64 y)))))) (+.f64 1 (+.f64 (.f64 (-.f64 3/2 (.f64 1/2 (sqrt.f64 5))) (cos.f64 y)) (.f64 (cos.f64 x) (-.f64 (.f64 1/2 (sqrt.f64 5)) 1/2))))))
(.f64 1/3 (/.f64 (+.f64 2 (.f64 (sqrt.f64 2) (.f64 (.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1)) -1/16))) (+.f64 1 (+.f64 (.f64 (-.f64 3/2 (.f64 1/2 (sqrt.f64 5))) (cos.f64 y)) (.f64 (cos.f64 x) (-.f64 (.f64 1/2 (sqrt.f64 5)) 1/2))))))
(.f64 1/3 (/.f64 (+.f64 2 (.f64 (sqrt.f64 2) (.f64 (.f64 (pow.f64 (sin.f64 x) 2) (.f64 1/24 (pow.f64 x 4))) -1/16))) (+.f64 1 (+.f64 (.f64 (-.f64 3/2 (.f64 1/2 (sqrt.f64 5))) (cos.f64 y)) (.f64 (cos.f64 x) (-.f64 (*.f64 1/2 (sqrt.f64 5)) 1/2))))))
(.f64 1/3 (/.f64 (+.f64 2 (.f64 (sqrt.f64 2) (.f64 (.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1)) -1/16))) (+.f64 1 (+.f64 (.f64 (/.f64 1 (+.f64 3/2 (.f64 1/2 (sqrt.f64 5)))) (cos.f64 y)) (.f64 (cos.f64 x) (-.f64 (.f64 1/2 (sqrt.f64 5)) 1/2))))))
(.f64 1/3 (/.f64 (+.f64 2 (.f64 (sqrt.f64 2) (.f64 (.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (.f64 x (.f64 x -1/2)) (.f64 1/24 (pow.f64 x 4)))) -1/16))) (+.f64 1 (+.f64 (.f64 (-.f64 3/2 (.f64 1/2 (sqrt.f64 5))) (cos.f64 y)) (.f64 (cos.f64 x) (-.f64 (*.f64 1/2 (sqrt.f64 5)) 1/2))))))
(/.f64 1/3 (/.f64 (+.f64 1/2 (fma.f64 (cos.f64 y) (-.f64 3/2 (sqrt.f64 5/4)) (sqrt.f64 5/4))) (fma.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2))) -1/16 2)))
(/.f64 (.f64 (fma.f64 -1/16 (.f64 (-.f64 1 (cos.f64 y)) (*.f64 (sqrt.f64 2) (pow.f64 (sin.f64 y) 2))) 2) -1/3) (-.f64 -1/2 (fma.f64 (cos.f64 y) (-.f64 3/2 (sqrt.f64 5/4)) (sqrt.f64 5/4))))
(/.f64 (fma.f64 -1/16 (.f64 (pow.f64 (sin.f64 x) 2) (.f64 (+.f64 (cos.f64 x) -1) (sqrt.f64 2))) 2) (fma.f64 3/2 (-.f64 3 (+.f64 (sqrt.f64 5) (*.f64 (-.f64 1 (sqrt.f64 5)) (cos.f64 x)))) 3))
(/.f64 (+.f64 2 (.f64 (.f64 -1/16 (sqrt.f64 2)) (.f64 (+.f64 (cos.f64 x) -1) (pow.f64 (sin.f64 x) 2)))) (+.f64 3 (.f64 3/2 (fabs.f64 (-.f64 (fma.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1) 3) (sqrt.f64 5))))))
(/.f64 (+.f64 2 (.f64 (.f64 -1/16 (sqrt.f64 2)) (.f64 (+.f64 (cos.f64 x) -1) (pow.f64 (sin.f64 x) 2)))) (+.f64 3 (.f64 3/2 (+.f64 (-.f64 3 (sqrt.f64 5)) (pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1))) 3)))))
(.f64 1/3 (/.f64 (+.f64 2 (.f64 (sqrt.f64 2) (.f64 (.f64 (pow.f64 (sin.f64 x) 2) (fabs.f64 (+.f64 (cos.f64 x) -1))) -1/16))) (+.f64 1 (+.f64 (.f64 (-.f64 3/2 (.f64 1/2 (sqrt.f64 5))) (cos.f64 y)) (.f64 (cos.f64 x) (-.f64 (.f64 1/2 (sqrt.f64 5)) 1/2))))))
(/.f64 (+.f64 2 (.f64 (.f64 (sqrt.f64 2) (.f64 -1/16 (sin.f64 y))) (.f64 (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16)) (-.f64 (cos.f64 x) (cos.f64 y))))) (.f64 3 (+.f64 1 (-.f64 (+.f64 3/2 (.f64 (cos.f64 x) (-.f64 (.f64 1/2 (sqrt.f64 5)) 1/2))) (.f64 1/2 (sqrt.f64 5))))))
(/.f64 (+.f64 2 (.f64 (.f64 (sqrt.f64 2) (.f64 -1/16 (sin.f64 y))) (.f64 (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16)) (-.f64 (cos.f64 x) (cos.f64 y))))) (.f64 3 (+.f64 1 (-.f64 (+.f64 (.f64 1/2 (sqrt.f64 5)) (.f64 (-.f64 3/2 (.f64 1/2 (sqrt.f64 5))) (cos.f64 y))) 1/2))))
(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (sin.f64 y)) -1/16) (.f64 (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16)) (-.f64 (cos.f64 x) (cos.f64 y))))) (.f64 3 (+.f64 1 (-.f64 (+.f64 (.f64 1/2 (sqrt.f64 5)) (.f64 (-.f64 3/2 (.f64 1/2 (sqrt.f64 5))) (cos.f64 y))) 1/2))))
(.f64 1/3 (/.f64 (+.f64 2 (.f64 (sqrt.f64 2) (.f64 (.f64 (pow.f64 (sin.f64 x) 2) (fma.f64 1/24 (pow.f64 x 4) (.f64 -1/2 (.f64 x x)))) -1/16))) (+.f64 1 (+.f64 (.f64 (-.f64 3/2 (.f64 1/2 (sqrt.f64 5))) (cos.f64 y)) (.f64 (cos.f64 x) (-.f64 (.f64 1/2 (sqrt.f64 5)) 1/2))))))
(.f64 1/3 (/.f64 (+.f64 2 (.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))) (.f64 (-.f64 (cos.f64 x) 1) (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x))))))) (+.f64 1 (-.f64 (+.f64 3/2 (.f64 (cos.f64 x) (-.f64 (.f64 1/2 (sqrt.f64 5)) 1/2))) (*.f64 1/2 (sqrt.f64 5))))))
(.f64 1/3 (/.f64 (+.f64 2 (.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))) (.f64 (-.f64 (cos.f64 x) 1) (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x))))))) (+.f64 1 (-.f64 (+.f64 (.f64 1/2 (sqrt.f64 5)) (.f64 (-.f64 3/2 (*.f64 1/2 (sqrt.f64 5))) (cos.f64 y))) 1/2))))
(/.f64 (+.f64 2 (.f64 (.f64 (sqrt.f64 2) (.f64 -1/16 (sin.f64 y))) (.f64 (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16)) (-.f64 1 (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 (+.f64 2 (.f64 (.f64 (sqrt.f64 2) (.f64 -1/16 (sin.f64 y))) (.f64 (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16)) (-.f64 (cos.f64 x) 1)))) (.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 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 1/2 (+.f64 (.f64 1/2 (sqrt.f64 5)) (.f64 (/.f64 (-.f64 9/4 (.f64 (.f64 (sqrt.f64 5) -1/2) (.f64 (sqrt.f64 5) -1/2))) (-.f64 3/2 (.f64 (sqrt.f64 5) -1/2))) (cos.f64 y))))))
(.f64 1/3 (/.f64 (fma.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2))) 2) (+.f64 1/2 (fma.f64 (cos.f64 y) (fma.f64 (sqrt.f64 5) -1/2 3/2) (.f64 1/2 (sqrt.f64 5))))))
(.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 (fma.f64 -1/16 (.f64 (-.f64 1 (cos.f64 y)) (.f64 (pow.f64 (sin.f64 y) 2) (sqrt.f64 2))) 2) (+.f64 (fma.f64 3/2 (*.f64 (cos.f64 y) (-.f64 3 (sqrt.f64 5))) 3) (fma.f64 3/2 (sqrt.f64 5) -3/2)))
(/.f64 (+.f64 2 (.f64 (.f64 -1/16 (sqrt.f64 2)) (.f64 (+.f64 (cos.f64 x) -1) (pow.f64 (sin.f64 x) 2)))) (+.f64 3 (.f64 3/2 (expm1.f64 (log1p.f64 (fma.f64 (cos.f64 x) (+.f64 -1 (sqrt.f64 5)) (-.f64 3 (sqrt.f64 5))))))))
(.f64 1/3 (/.f64 (+.f64 2 (.f64 (sqrt.f64 2) (.f64 (.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1)) -1/16))) (+.f64 1 (+.f64 (.f64 (-.f64 3/2 (.f64 1/2 (sqrt.f64 5))) (cos.f64 y)) (sqrt.f64 (pow.f64 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) -1/2)) 2))))))
(.f64 1/3 (/.f64 (+.f64 2 (.f64 (sqrt.f64 2) (.f64 (.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1)) -1/16))) (+.f64 1 (+.f64 (.f64 (-.f64 3/2 (.f64 1/2 (sqrt.f64 5))) (cos.f64 y)) (pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) -1/2))) 3)))))
(/.f64 (+.f64 2 (.f64 (.f64 (sqrt.f64 2) (sin.f64 x)) (.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 (sqrt.f64 5/4) 1/2)) (*.f64 (cos.f64 y) (/.f64 1 (+.f64 3/2 (sqrt.f64 5/4))))))))
(/.f64 (+.f64 2 (.f64 (.f64 (sqrt.f64 2) (sin.f64 x)) (.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)))))))

Outputs

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

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

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

Calls

2 calls:

126.0ms	x
126.0ms	y

Results

Error	Segments	Branch
11.3b	3	`x`
12.1b	3	`y`

Compiler

Compiled 2277 to 1826 computations (19.8% saved)

bsearch214.0ms (0.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
78.0ms	4.762436783060212e-23	2.3495847454968546e-22
135.0ms	-4.42537402835133e+28	-1.0592147902724063e-17

Results

116.0ms	86×	body	1024	valid
67.0ms	167×	body	256	valid
22.0ms	35×	body	512	valid

Compiler

Compiled 1569 to 1304 computations (16.9% saved)

regimes460.0ms (1.5%)

Counts

70 → 3

Calls

Call 1

Inputs
1/3
(+.f64 1/3 (.f64 1/12 (.f64 (.f64 y y) (-.f64 3/2 (.f64 1/2 (sqrt.f64 5))))))
(+.f64 (sqrt.f64 (*.f64 (pow.f64 x 8) 1/18432)) 1/3)
(+.f64 (.f64 1/192 (.f64 (sqrt.f64 2) (pow.f64 x 4))) 1/3)
(+.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 x 4) 1/192)) 1/3)
(/.f64 (+.f64 2 (.f64 (sqrt.f64 2) (.f64 (pow.f64 x 4) 1/32))) (+.f64 3 (*.f64 3/2 2)))
(+.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 (sqrt.f64 2) 1/192)) (*.f64 x x)) 2) 1/3)
(/.f64 2/3 (+.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 2 (.f64 (-.f64 1/2 (/.f64 (cos.f64 (+.f64 x x)) 2)) (.f64 (sqrt.f64 1/128) (+.f64 (cos.f64 x) -1)))) (+.f64 3 (*.f64 3/2 2)))
(/.f64 (+.f64 2 (.f64 (.f64 -1/16 (sqrt.f64 2)) (.f64 (+.f64 (cos.f64 x) -1) (-.f64 1/2 (/.f64 (cos.f64 (+.f64 x x)) 2))))) (+.f64 3 (.f64 3/2 2)))
(+.f64 (.f64 1/192 (exp.f64 (log.f64 (.f64 (sqrt.f64 2) (pow.f64 x 4))))) 1/3)
(+.f64 (-.f64 (exp.f64 (log1p.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 x 4) 1/192)))) 1) 1/3)
(.f64 (-.f64 -2 (.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (sqrt.f64 1/128) (+.f64 (cos.f64 x) -1)))) -1/6)
(+.f64 1/3 (.f64 (.f64 (sqrt.f64 2) (*.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1))) -1/96))
(/.f64 (+.f64 2 (.f64 (.f64 -1/16 (sqrt.f64 2)) (.f64 (+.f64 (cos.f64 x) -1) (pow.f64 (sin.f64 x) 2)))) (+.f64 3 (.f64 3/2 2)))
(/.f64 2/3 (+.f64 1/2 (fma.f64 (fma.f64 -1/2 (sqrt.f64 5) 3/2) (cos.f64 y) (*.f64 1/2 (sqrt.f64 5)))))
(/.f64 (+.f64 2 (.f64 (.f64 -1/16 (sqrt.f64 2)) (.f64 (+.f64 (cos.f64 x) -1) (+.f64 (.f64 -1/3 (pow.f64 x 4)) (+.f64 (.f64 2/45 (pow.f64 x 6)) (pow.f64 x 2)))))) (+.f64 3 (.f64 3/2 2)))
(/.f64 (+.f64 2 (.f64 (.f64 -1/16 (sqrt.f64 2)) (.f64 (+.f64 (cos.f64 x) -1) (pow.f64 (sin.f64 x) 2)))) (+.f64 3 (.f64 3/2 (+.f64 2 (.f64 -1/2 (.f64 (*.f64 x x) (+.f64 (sqrt.f64 5) -1)))))))
(/.f64 2/3 (fma.f64 (fma.f64 -1/2 (sqrt.f64 5) 3/2) (cos.f64 y) (fma.f64 1/2 (sqrt.f64 5) 1/2)))
(/.f64 (+.f64 2 (.f64 (.f64 -1/16 (sqrt.f64 2)) (.f64 (log1p.f64 (expm1.f64 (+.f64 (cos.f64 x) -1))) (pow.f64 (sin.f64 x) 2)))) (+.f64 3 (.f64 3/2 2)))
(/.f64 (+.f64 2 (.f64 (.f64 -1/16 (sqrt.f64 2)) (.f64 (pow.f64 (cbrt.f64 (+.f64 (cos.f64 x) -1)) 3) (pow.f64 (sin.f64 x) 2)))) (+.f64 3 (.f64 3/2 2)))
(/.f64 (+.f64 2 (.f64 (.f64 -1/16 (sqrt.f64 2)) (.f64 (.f64 -1/2 (.f64 x x)) (pow.f64 (sin.f64 x) 2)))) (+.f64 3 (.f64 3/2 (+.f64 (-.f64 3 (sqrt.f64 5)) (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1))))))
(.f64 1/3 (/.f64 (+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (.f64 1/2 (.f64 y y)) (pow.f64 (sin.f64 y) 2)))) 2) (+.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 (cbrt.f64 (.f64 (fma.f64 (sqrt.f64 1/128) (.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1)) 2) 1/6)) 3)
(-.f64 (exp.f64 (log1p.f64 (.f64 (fma.f64 (sqrt.f64 1/128) (.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1)) 2) 1/6))) 1)
(/.f64 (+.f64 2 (.f64 (.f64 -1/16 (sqrt.f64 2)) (.f64 (+.f64 (cos.f64 x) -1) (pow.f64 (sin.f64 x) 2)))) (+.f64 3 (.f64 3/2 (+.f64 (-.f64 3 (sqrt.f64 5)) (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1))))))
(/.f64 (+.f64 2 (.f64 (.f64 -1/16 (sqrt.f64 2)) (.f64 (+.f64 (cos.f64 x) -1) (pow.f64 (sin.f64 x) 2)))) (+.f64 3 (.f64 3/2 (-.f64 3 (-.f64 (sqrt.f64 5) (*.f64 (cos.f64 x) (+.f64 -1 (sqrt.f64 5))))))))
(/.f64 (+.f64 2 (.f64 (.f64 -1/16 (sqrt.f64 2)) (.f64 (+.f64 (cos.f64 x) -1) (pow.f64 (sin.f64 x) 2)))) (+.f64 3 (.f64 3/2 (-.f64 (+.f64 3 (*.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))) (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 (+.f64 5/2 (.f64 (cos.f64 x) (-.f64 (.f64 1/2 (sqrt.f64 5)) 1/2))) (*.f64 1/2 (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 1/2 (+.f64 (.f64 1/2 (sqrt.f64 5)) (.f64 (-.f64 3/2 (*.f64 1/2 (sqrt.f64 5))) (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 3/2 (.f64 (-.f64 3 (sqrt.f64 5)) (cos.f64 y))))))
(/.f64 (+.f64 2 (.f64 (.f64 -1/16 (sqrt.f64 2)) (.f64 (+.f64 (cos.f64 x) -1) (pow.f64 (sin.f64 x) 2)))) (+.f64 3 (.f64 3/2 (+.f64 (-.f64 3 (sqrt.f64 5)) (/.f64 (cos.f64 x) (/.f64 1 (+.f64 (sqrt.f64 5) -1)))))))
(/.f64 (+.f64 2 (.f64 (.f64 -1/16 (sqrt.f64 2)) (.f64 (+.f64 (cos.f64 x) -1) (pow.f64 (sin.f64 x) 2)))) (+.f64 3 (.f64 3/2 (+.f64 (-.f64 3 (sqrt.f64 5)) (/.f64 (*.f64 (cos.f64 x) 4) (+.f64 (sqrt.f64 5) 1))))))
(.f64 1/3 (/.f64 (+.f64 2 (.f64 (sqrt.f64 2) (.f64 (.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1)) -1/16))) (+.f64 1 (-.f64 (+.f64 3/2 (.f64 (cos.f64 x) (-.f64 (.f64 1/2 (sqrt.f64 5)) 1/2))) (*.f64 1/2 (sqrt.f64 5))))))
(.f64 1/3 (/.f64 (+.f64 2 (.f64 (sqrt.f64 2) (.f64 (.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1)) -1/16))) (+.f64 1 (-.f64 (+.f64 (.f64 1/2 (sqrt.f64 5)) (.f64 (-.f64 3/2 (*.f64 1/2 (sqrt.f64 5))) (cos.f64 y))) 1/2))))
(.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 1/2 (+.f64 (.f64 1/2 (sqrt.f64 5)) (.f64 (/.f64 1 (+.f64 3/2 (*.f64 1/2 (sqrt.f64 5)))) (cos.f64 y))))))
(.f64 1/3 (/.f64 (+.f64 2 (.f64 (sqrt.f64 2) (.f64 (.f64 (pow.f64 (sin.f64 x) 2) (.f64 -1/2 (.f64 x x))) -1/16))) (+.f64 1 (+.f64 (.f64 (-.f64 3/2 (.f64 1/2 (sqrt.f64 5))) (cos.f64 y)) (.f64 (cos.f64 x) (-.f64 (.f64 1/2 (sqrt.f64 5)) 1/2))))))
(.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 5/2 (-.f64 (.f64 (fma.f64 1/2 (sqrt.f64 5) -1/2) (cos.f64 x)) (.f64 1/2 (sqrt.f64 5))))))
(/.f64 (+.f64 2 (.f64 (.f64 -1/16 (sqrt.f64 2)) (.f64 (fabs.f64 (+.f64 (cos.f64 x) -1)) (pow.f64 (sin.f64 x) 2)))) (+.f64 3 (.f64 3/2 (+.f64 (-.f64 3 (sqrt.f64 5)) (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1))))))
(/.f64 (+.f64 2 (.f64 (.f64 -1/16 (sqrt.f64 2)) (.f64 (+.f64 (cos.f64 x) -1) (pow.f64 (sin.f64 x) 2)))) (+.f64 3 (.f64 3/2 (+.f64 (-.f64 3 (sqrt.f64 5)) (fabs.f64 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)))))))
(/.f64 (+.f64 2 (.f64 (.f64 -1/16 (sqrt.f64 2)) (.f64 (+.f64 (cos.f64 x) -1) (pow.f64 (sin.f64 x) 2)))) (+.f64 3 (.f64 3/2 (+.f64 (-.f64 3 (sqrt.f64 5)) (+.f64 (*.f64 (cos.f64 x) (sqrt.f64 5)) (neg.f64 (cos.f64 x)))))))
(.f64 1/3 (/.f64 (+.f64 2 (.f64 (sqrt.f64 2) (.f64 (.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1)) -1/16))) (+.f64 1 (+.f64 (.f64 (-.f64 3/2 (.f64 1/2 (sqrt.f64 5))) (cos.f64 y)) (*.f64 (cos.f64 x) (+.f64 -1/2 (sqrt.f64 5/4)))))))
(.f64 1/3 (/.f64 (+.f64 2 (.f64 (sqrt.f64 2) (.f64 (.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1)) -1/16))) (+.f64 1 (+.f64 (.f64 (-.f64 3/2 (.f64 1/2 (sqrt.f64 5))) (cos.f64 y)) (/.f64 (cos.f64 x) (+.f64 1/2 (sqrt.f64 5/4)))))))
(/.f64 (+.f64 2 (.f64 (.f64 -1/16 (sqrt.f64 2)) (.f64 (+.f64 (cos.f64 x) -1) (pow.f64 (sin.f64 x) 2)))) (+.f64 3 (.f64 3/2 (+.f64 (-.f64 3 (sqrt.f64 5)) (/.f64 (+.f64 -1 (pow.f64 5 3/2)) (/.f64 (+.f64 (sqrt.f64 5) 6) (cos.f64 x)))))))
(.f64 1/3 (/.f64 (+.f64 2 (.f64 -1/16 (.f64 (pow.f64 (sin.f64 y) 2) (.f64 (sqrt.f64 2) (-.f64 1 (cos.f64 y)))))) (+.f64 1 (+.f64 (.f64 (-.f64 3/2 (.f64 1/2 (sqrt.f64 5))) (cos.f64 y)) (.f64 (cos.f64 x) (-.f64 (.f64 1/2 (sqrt.f64 5)) 1/2))))))
(.f64 1/3 (/.f64 (+.f64 2 (.f64 (sqrt.f64 2) (.f64 (.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1)) -1/16))) (+.f64 1 (+.f64 (.f64 (-.f64 3/2 (.f64 1/2 (sqrt.f64 5))) (cos.f64 y)) (.f64 (cos.f64 x) (-.f64 (.f64 1/2 (sqrt.f64 5)) 1/2))))))
(.f64 1/3 (/.f64 (+.f64 2 (.f64 (sqrt.f64 2) (.f64 (.f64 (pow.f64 (sin.f64 x) 2) (.f64 1/24 (pow.f64 x 4))) -1/16))) (+.f64 1 (+.f64 (.f64 (-.f64 3/2 (.f64 1/2 (sqrt.f64 5))) (cos.f64 y)) (.f64 (cos.f64 x) (-.f64 (*.f64 1/2 (sqrt.f64 5)) 1/2))))))
(.f64 1/3 (/.f64 (+.f64 2 (.f64 (sqrt.f64 2) (.f64 (.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1)) -1/16))) (+.f64 1 (+.f64 (.f64 (/.f64 1 (+.f64 3/2 (.f64 1/2 (sqrt.f64 5)))) (cos.f64 y)) (.f64 (cos.f64 x) (-.f64 (.f64 1/2 (sqrt.f64 5)) 1/2))))))
(.f64 1/3 (/.f64 (+.f64 2 (.f64 (sqrt.f64 2) (.f64 (.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (.f64 x (.f64 x -1/2)) (.f64 1/24 (pow.f64 x 4)))) -1/16))) (+.f64 1 (+.f64 (.f64 (-.f64 3/2 (.f64 1/2 (sqrt.f64 5))) (cos.f64 y)) (.f64 (cos.f64 x) (-.f64 (*.f64 1/2 (sqrt.f64 5)) 1/2))))))
(/.f64 1/3 (/.f64 (+.f64 1/2 (fma.f64 (cos.f64 y) (-.f64 3/2 (sqrt.f64 5/4)) (sqrt.f64 5/4))) (fma.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2))) -1/16 2)))
(/.f64 (.f64 (fma.f64 -1/16 (.f64 (-.f64 1 (cos.f64 y)) (*.f64 (sqrt.f64 2) (pow.f64 (sin.f64 y) 2))) 2) -1/3) (-.f64 -1/2 (fma.f64 (cos.f64 y) (-.f64 3/2 (sqrt.f64 5/4)) (sqrt.f64 5/4))))
(/.f64 (fma.f64 -1/16 (.f64 (pow.f64 (sin.f64 x) 2) (.f64 (+.f64 (cos.f64 x) -1) (sqrt.f64 2))) 2) (fma.f64 3/2 (-.f64 3 (+.f64 (sqrt.f64 5) (*.f64 (-.f64 1 (sqrt.f64 5)) (cos.f64 x)))) 3))
(/.f64 (+.f64 2 (.f64 (.f64 -1/16 (sqrt.f64 2)) (.f64 (+.f64 (cos.f64 x) -1) (pow.f64 (sin.f64 x) 2)))) (+.f64 3 (.f64 3/2 (fabs.f64 (-.f64 (fma.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1) 3) (sqrt.f64 5))))))
(/.f64 (+.f64 2 (.f64 (.f64 -1/16 (sqrt.f64 2)) (.f64 (+.f64 (cos.f64 x) -1) (pow.f64 (sin.f64 x) 2)))) (+.f64 3 (.f64 3/2 (+.f64 (-.f64 3 (sqrt.f64 5)) (pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1))) 3)))))
(.f64 1/3 (/.f64 (+.f64 2 (.f64 (sqrt.f64 2) (.f64 (.f64 (pow.f64 (sin.f64 x) 2) (fabs.f64 (+.f64 (cos.f64 x) -1))) -1/16))) (+.f64 1 (+.f64 (.f64 (-.f64 3/2 (.f64 1/2 (sqrt.f64 5))) (cos.f64 y)) (.f64 (cos.f64 x) (-.f64 (.f64 1/2 (sqrt.f64 5)) 1/2))))))
(/.f64 (+.f64 2 (.f64 (.f64 (sqrt.f64 2) (.f64 -1/16 (sin.f64 y))) (.f64 (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16)) (-.f64 (cos.f64 x) (cos.f64 y))))) (.f64 3 (+.f64 1 (-.f64 (+.f64 3/2 (.f64 (cos.f64 x) (-.f64 (.f64 1/2 (sqrt.f64 5)) 1/2))) (.f64 1/2 (sqrt.f64 5))))))
(/.f64 (+.f64 2 (.f64 (.f64 (sqrt.f64 2) (.f64 -1/16 (sin.f64 y))) (.f64 (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16)) (-.f64 (cos.f64 x) (cos.f64 y))))) (.f64 3 (+.f64 1 (-.f64 (+.f64 (.f64 1/2 (sqrt.f64 5)) (.f64 (-.f64 3/2 (.f64 1/2 (sqrt.f64 5))) (cos.f64 y))) 1/2))))
(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (sin.f64 y)) -1/16) (.f64 (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16)) (-.f64 (cos.f64 x) (cos.f64 y))))) (.f64 3 (+.f64 1 (-.f64 (+.f64 (.f64 1/2 (sqrt.f64 5)) (.f64 (-.f64 3/2 (.f64 1/2 (sqrt.f64 5))) (cos.f64 y))) 1/2))))
(.f64 1/3 (/.f64 (+.f64 2 (.f64 (sqrt.f64 2) (.f64 (.f64 (pow.f64 (sin.f64 x) 2) (fma.f64 1/24 (pow.f64 x 4) (.f64 -1/2 (.f64 x x)))) -1/16))) (+.f64 1 (+.f64 (.f64 (-.f64 3/2 (.f64 1/2 (sqrt.f64 5))) (cos.f64 y)) (.f64 (cos.f64 x) (-.f64 (.f64 1/2 (sqrt.f64 5)) 1/2))))))
(.f64 1/3 (/.f64 (+.f64 2 (.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))) (.f64 (-.f64 (cos.f64 x) 1) (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x))))))) (+.f64 1 (-.f64 (+.f64 3/2 (.f64 (cos.f64 x) (-.f64 (.f64 1/2 (sqrt.f64 5)) 1/2))) (*.f64 1/2 (sqrt.f64 5))))))
(.f64 1/3 (/.f64 (+.f64 2 (.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))) (.f64 (-.f64 (cos.f64 x) 1) (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x))))))) (+.f64 1 (-.f64 (+.f64 (.f64 1/2 (sqrt.f64 5)) (.f64 (-.f64 3/2 (*.f64 1/2 (sqrt.f64 5))) (cos.f64 y))) 1/2))))
(/.f64 (+.f64 2 (.f64 (.f64 (sqrt.f64 2) (.f64 -1/16 (sin.f64 y))) (.f64 (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16)) (-.f64 1 (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 (+.f64 2 (.f64 (.f64 (sqrt.f64 2) (.f64 -1/16 (sin.f64 y))) (.f64 (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16)) (-.f64 (cos.f64 x) 1)))) (.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 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 1/2 (+.f64 (.f64 1/2 (sqrt.f64 5)) (.f64 (/.f64 (-.f64 9/4 (.f64 (.f64 (sqrt.f64 5) -1/2) (.f64 (sqrt.f64 5) -1/2))) (-.f64 3/2 (.f64 (sqrt.f64 5) -1/2))) (cos.f64 y))))))
(.f64 1/3 (/.f64 (fma.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2))) 2) (+.f64 1/2 (fma.f64 (cos.f64 y) (fma.f64 (sqrt.f64 5) -1/2 3/2) (.f64 1/2 (sqrt.f64 5))))))
(.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 (fma.f64 -1/16 (.f64 (-.f64 1 (cos.f64 y)) (.f64 (pow.f64 (sin.f64 y) 2) (sqrt.f64 2))) 2) (+.f64 (fma.f64 3/2 (*.f64 (cos.f64 y) (-.f64 3 (sqrt.f64 5))) 3) (fma.f64 3/2 (sqrt.f64 5) -3/2)))
(/.f64 (+.f64 2 (.f64 (.f64 -1/16 (sqrt.f64 2)) (.f64 (+.f64 (cos.f64 x) -1) (pow.f64 (sin.f64 x) 2)))) (+.f64 3 (.f64 3/2 (expm1.f64 (log1p.f64 (fma.f64 (cos.f64 x) (+.f64 -1 (sqrt.f64 5)) (-.f64 3 (sqrt.f64 5))))))))
(.f64 1/3 (/.f64 (+.f64 2 (.f64 (sqrt.f64 2) (.f64 (.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1)) -1/16))) (+.f64 1 (+.f64 (.f64 (-.f64 3/2 (.f64 1/2 (sqrt.f64 5))) (cos.f64 y)) (sqrt.f64 (pow.f64 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) -1/2)) 2))))))
(.f64 1/3 (/.f64 (+.f64 2 (.f64 (sqrt.f64 2) (.f64 (.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1)) -1/16))) (+.f64 1 (+.f64 (.f64 (-.f64 3/2 (.f64 1/2 (sqrt.f64 5))) (cos.f64 y)) (pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) -1/2))) 3)))))

Outputs

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

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

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

Calls

2 calls:

186.0ms	y
177.0ms	x

Results

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

Compiler

Compiled 2189 to 1768 computations (19.2% saved)

bsearch232.0ms (0.8%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
86.0ms	4.762436783060212e-23	2.3495847454968546e-22
145.0ms	-4.42537402835133e+28	-1.0592147902724063e-17

Results

127.0ms	63×	body	1024	valid
79.0ms	199×	body	256	valid
17.0ms	26×	body	512	valid

Compiler

Compiled 1479 to 1304 computations (11.8% saved)

regimes226.0ms (0.7%)

Counts

42 → 3

Calls

Call 1

Inputs
1/3
(+.f64 1/3 (.f64 1/12 (.f64 (.f64 y y) (-.f64 3/2 (.f64 1/2 (sqrt.f64 5))))))
(+.f64 (sqrt.f64 (*.f64 (pow.f64 x 8) 1/18432)) 1/3)
(+.f64 (.f64 1/192 (.f64 (sqrt.f64 2) (pow.f64 x 4))) 1/3)
(+.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 x 4) 1/192)) 1/3)
(/.f64 (+.f64 2 (.f64 (sqrt.f64 2) (.f64 (pow.f64 x 4) 1/32))) (+.f64 3 (*.f64 3/2 2)))
(+.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 (sqrt.f64 2) 1/192)) (*.f64 x x)) 2) 1/3)
(/.f64 2/3 (+.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 2 (.f64 (-.f64 1/2 (/.f64 (cos.f64 (+.f64 x x)) 2)) (.f64 (sqrt.f64 1/128) (+.f64 (cos.f64 x) -1)))) (+.f64 3 (*.f64 3/2 2)))
(/.f64 (+.f64 2 (.f64 (.f64 -1/16 (sqrt.f64 2)) (.f64 (+.f64 (cos.f64 x) -1) (-.f64 1/2 (/.f64 (cos.f64 (+.f64 x x)) 2))))) (+.f64 3 (.f64 3/2 2)))
(+.f64 (.f64 1/192 (exp.f64 (log.f64 (.f64 (sqrt.f64 2) (pow.f64 x 4))))) 1/3)
(+.f64 (-.f64 (exp.f64 (log1p.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 x 4) 1/192)))) 1) 1/3)
(.f64 (-.f64 -2 (.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (sqrt.f64 1/128) (+.f64 (cos.f64 x) -1)))) -1/6)
(+.f64 1/3 (.f64 (.f64 (sqrt.f64 2) (*.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1))) -1/96))
(/.f64 (+.f64 2 (.f64 (.f64 -1/16 (sqrt.f64 2)) (.f64 (+.f64 (cos.f64 x) -1) (pow.f64 (sin.f64 x) 2)))) (+.f64 3 (.f64 3/2 2)))
(/.f64 2/3 (+.f64 1/2 (fma.f64 (fma.f64 -1/2 (sqrt.f64 5) 3/2) (cos.f64 y) (*.f64 1/2 (sqrt.f64 5)))))
(/.f64 (+.f64 2 (.f64 (.f64 -1/16 (sqrt.f64 2)) (.f64 (+.f64 (cos.f64 x) -1) (+.f64 (.f64 -1/3 (pow.f64 x 4)) (+.f64 (.f64 2/45 (pow.f64 x 6)) (pow.f64 x 2)))))) (+.f64 3 (.f64 3/2 2)))
(/.f64 (+.f64 2 (.f64 (.f64 -1/16 (sqrt.f64 2)) (.f64 (+.f64 (cos.f64 x) -1) (pow.f64 (sin.f64 x) 2)))) (+.f64 3 (.f64 3/2 (+.f64 2 (.f64 -1/2 (.f64 (*.f64 x x) (+.f64 (sqrt.f64 5) -1)))))))
(/.f64 2/3 (fma.f64 (fma.f64 -1/2 (sqrt.f64 5) 3/2) (cos.f64 y) (fma.f64 1/2 (sqrt.f64 5) 1/2)))
(/.f64 (+.f64 2 (.f64 (.f64 -1/16 (sqrt.f64 2)) (.f64 (log1p.f64 (expm1.f64 (+.f64 (cos.f64 x) -1))) (pow.f64 (sin.f64 x) 2)))) (+.f64 3 (.f64 3/2 2)))
(/.f64 (+.f64 2 (.f64 (.f64 -1/16 (sqrt.f64 2)) (.f64 (pow.f64 (cbrt.f64 (+.f64 (cos.f64 x) -1)) 3) (pow.f64 (sin.f64 x) 2)))) (+.f64 3 (.f64 3/2 2)))
(/.f64 (+.f64 2 (.f64 (.f64 -1/16 (sqrt.f64 2)) (.f64 (.f64 -1/2 (.f64 x x)) (pow.f64 (sin.f64 x) 2)))) (+.f64 3 (.f64 3/2 (+.f64 (-.f64 3 (sqrt.f64 5)) (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1))))))
(.f64 1/3 (/.f64 (+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (.f64 1/2 (.f64 y y)) (pow.f64 (sin.f64 y) 2)))) 2) (+.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 (cbrt.f64 (.f64 (fma.f64 (sqrt.f64 1/128) (.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1)) 2) 1/6)) 3)
(-.f64 (exp.f64 (log1p.f64 (.f64 (fma.f64 (sqrt.f64 1/128) (.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1)) 2) 1/6))) 1)
(/.f64 (+.f64 2 (.f64 (.f64 -1/16 (sqrt.f64 2)) (.f64 (+.f64 (cos.f64 x) -1) (pow.f64 (sin.f64 x) 2)))) (+.f64 3 (.f64 3/2 (+.f64 (-.f64 3 (sqrt.f64 5)) (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1))))))
(/.f64 (+.f64 2 (.f64 (.f64 -1/16 (sqrt.f64 2)) (.f64 (+.f64 (cos.f64 x) -1) (pow.f64 (sin.f64 x) 2)))) (+.f64 3 (.f64 3/2 (-.f64 3 (-.f64 (sqrt.f64 5) (*.f64 (cos.f64 x) (+.f64 -1 (sqrt.f64 5))))))))
(/.f64 (+.f64 2 (.f64 (.f64 -1/16 (sqrt.f64 2)) (.f64 (+.f64 (cos.f64 x) -1) (pow.f64 (sin.f64 x) 2)))) (+.f64 3 (.f64 3/2 (-.f64 (+.f64 3 (*.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))) (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 (+.f64 5/2 (.f64 (cos.f64 x) (-.f64 (.f64 1/2 (sqrt.f64 5)) 1/2))) (*.f64 1/2 (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 1/2 (+.f64 (.f64 1/2 (sqrt.f64 5)) (.f64 (-.f64 3/2 (*.f64 1/2 (sqrt.f64 5))) (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 3/2 (.f64 (-.f64 3 (sqrt.f64 5)) (cos.f64 y))))))
(/.f64 (+.f64 2 (.f64 (.f64 -1/16 (sqrt.f64 2)) (.f64 (+.f64 (cos.f64 x) -1) (pow.f64 (sin.f64 x) 2)))) (+.f64 3 (.f64 3/2 (+.f64 (-.f64 3 (sqrt.f64 5)) (/.f64 (cos.f64 x) (/.f64 1 (+.f64 (sqrt.f64 5) -1)))))))
(/.f64 (+.f64 2 (.f64 (.f64 -1/16 (sqrt.f64 2)) (.f64 (+.f64 (cos.f64 x) -1) (pow.f64 (sin.f64 x) 2)))) (+.f64 3 (.f64 3/2 (+.f64 (-.f64 3 (sqrt.f64 5)) (/.f64 (*.f64 (cos.f64 x) 4) (+.f64 (sqrt.f64 5) 1))))))
(.f64 1/3 (/.f64 (+.f64 2 (.f64 (sqrt.f64 2) (.f64 (.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1)) -1/16))) (+.f64 1 (-.f64 (+.f64 3/2 (.f64 (cos.f64 x) (-.f64 (.f64 1/2 (sqrt.f64 5)) 1/2))) (*.f64 1/2 (sqrt.f64 5))))))
(.f64 1/3 (/.f64 (+.f64 2 (.f64 (sqrt.f64 2) (.f64 (.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1)) -1/16))) (+.f64 1 (-.f64 (+.f64 (.f64 1/2 (sqrt.f64 5)) (.f64 (-.f64 3/2 (*.f64 1/2 (sqrt.f64 5))) (cos.f64 y))) 1/2))))
(.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 1/2 (+.f64 (.f64 1/2 (sqrt.f64 5)) (.f64 (/.f64 1 (+.f64 3/2 (*.f64 1/2 (sqrt.f64 5)))) (cos.f64 y))))))
(.f64 1/3 (/.f64 (+.f64 2 (.f64 (sqrt.f64 2) (.f64 (.f64 (pow.f64 (sin.f64 x) 2) (.f64 -1/2 (.f64 x x))) -1/16))) (+.f64 1 (+.f64 (.f64 (-.f64 3/2 (.f64 1/2 (sqrt.f64 5))) (cos.f64 y)) (.f64 (cos.f64 x) (-.f64 (.f64 1/2 (sqrt.f64 5)) 1/2))))))
(.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 5/2 (-.f64 (.f64 (fma.f64 1/2 (sqrt.f64 5) -1/2) (cos.f64 x)) (.f64 1/2 (sqrt.f64 5))))))
(/.f64 (+.f64 2 (.f64 (.f64 -1/16 (sqrt.f64 2)) (.f64 (fabs.f64 (+.f64 (cos.f64 x) -1)) (pow.f64 (sin.f64 x) 2)))) (+.f64 3 (.f64 3/2 (+.f64 (-.f64 3 (sqrt.f64 5)) (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1))))))
(/.f64 (+.f64 2 (.f64 (.f64 -1/16 (sqrt.f64 2)) (.f64 (+.f64 (cos.f64 x) -1) (pow.f64 (sin.f64 x) 2)))) (+.f64 3 (.f64 3/2 (+.f64 (-.f64 3 (sqrt.f64 5)) (fabs.f64 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)))))))
(/.f64 (+.f64 2 (.f64 (.f64 -1/16 (sqrt.f64 2)) (.f64 (+.f64 (cos.f64 x) -1) (pow.f64 (sin.f64 x) 2)))) (+.f64 3 (.f64 3/2 (+.f64 (-.f64 3 (sqrt.f64 5)) (+.f64 (*.f64 (cos.f64 x) (sqrt.f64 5)) (neg.f64 (cos.f64 x)))))))
(.f64 1/3 (/.f64 (+.f64 2 (.f64 (sqrt.f64 2) (.f64 (.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1)) -1/16))) (+.f64 1 (+.f64 (.f64 (-.f64 3/2 (.f64 1/2 (sqrt.f64 5))) (cos.f64 y)) (*.f64 (cos.f64 x) (+.f64 -1/2 (sqrt.f64 5/4)))))))

Outputs

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

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

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

Calls

2 calls:

90.0ms	x
82.0ms	y

Results

Error	Segments	Branch
12.2b	3	`x`
12.7b	3	`y`

Compiler

Compiled 1082 to 895 computations (17.3% saved)

bsearch201.0ms (0.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
65.0ms	4.762436783060212e-23	2.3495847454968546e-22
135.0ms	-4.42537402835133e+28	-1.0592147902724063e-17

Results

98.0ms	66×	body	1024	valid
75.0ms	192×	body	256	valid
19.0ms	30×	body	512	valid

Compiler

Compiled 1479 to 1304 computations (11.8% saved)

regimes138.0ms (0.5%)

Counts

41 → 3

Calls

Call 1

Inputs
1/3
(+.f64 1/3 (.f64 1/12 (.f64 (.f64 y y) (-.f64 3/2 (.f64 1/2 (sqrt.f64 5))))))
(+.f64 (sqrt.f64 (*.f64 (pow.f64 x 8) 1/18432)) 1/3)
(+.f64 (.f64 1/192 (.f64 (sqrt.f64 2) (pow.f64 x 4))) 1/3)
(+.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 x 4) 1/192)) 1/3)
(/.f64 (+.f64 2 (.f64 (sqrt.f64 2) (.f64 (pow.f64 x 4) 1/32))) (+.f64 3 (*.f64 3/2 2)))
(+.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 (sqrt.f64 2) 1/192)) (*.f64 x x)) 2) 1/3)
(/.f64 2/3 (+.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 2 (.f64 (-.f64 1/2 (/.f64 (cos.f64 (+.f64 x x)) 2)) (.f64 (sqrt.f64 1/128) (+.f64 (cos.f64 x) -1)))) (+.f64 3 (*.f64 3/2 2)))
(/.f64 (+.f64 2 (.f64 (.f64 -1/16 (sqrt.f64 2)) (.f64 (+.f64 (cos.f64 x) -1) (-.f64 1/2 (/.f64 (cos.f64 (+.f64 x x)) 2))))) (+.f64 3 (.f64 3/2 2)))
(+.f64 (.f64 1/192 (exp.f64 (log.f64 (.f64 (sqrt.f64 2) (pow.f64 x 4))))) 1/3)
(+.f64 (-.f64 (exp.f64 (log1p.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 x 4) 1/192)))) 1) 1/3)
(.f64 (-.f64 -2 (.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (sqrt.f64 1/128) (+.f64 (cos.f64 x) -1)))) -1/6)
(+.f64 1/3 (.f64 (.f64 (sqrt.f64 2) (*.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1))) -1/96))
(/.f64 (+.f64 2 (.f64 (.f64 -1/16 (sqrt.f64 2)) (.f64 (+.f64 (cos.f64 x) -1) (pow.f64 (sin.f64 x) 2)))) (+.f64 3 (.f64 3/2 2)))
(/.f64 2/3 (+.f64 1/2 (fma.f64 (fma.f64 -1/2 (sqrt.f64 5) 3/2) (cos.f64 y) (*.f64 1/2 (sqrt.f64 5)))))
(/.f64 (+.f64 2 (.f64 (.f64 -1/16 (sqrt.f64 2)) (.f64 (+.f64 (cos.f64 x) -1) (+.f64 (.f64 -1/3 (pow.f64 x 4)) (+.f64 (.f64 2/45 (pow.f64 x 6)) (pow.f64 x 2)))))) (+.f64 3 (.f64 3/2 2)))
(/.f64 (+.f64 2 (.f64 (.f64 -1/16 (sqrt.f64 2)) (.f64 (+.f64 (cos.f64 x) -1) (pow.f64 (sin.f64 x) 2)))) (+.f64 3 (.f64 3/2 (+.f64 2 (.f64 -1/2 (.f64 (*.f64 x x) (+.f64 (sqrt.f64 5) -1)))))))
(/.f64 2/3 (fma.f64 (fma.f64 -1/2 (sqrt.f64 5) 3/2) (cos.f64 y) (fma.f64 1/2 (sqrt.f64 5) 1/2)))
(/.f64 (+.f64 2 (.f64 (.f64 -1/16 (sqrt.f64 2)) (.f64 (log1p.f64 (expm1.f64 (+.f64 (cos.f64 x) -1))) (pow.f64 (sin.f64 x) 2)))) (+.f64 3 (.f64 3/2 2)))
(/.f64 (+.f64 2 (.f64 (.f64 -1/16 (sqrt.f64 2)) (.f64 (pow.f64 (cbrt.f64 (+.f64 (cos.f64 x) -1)) 3) (pow.f64 (sin.f64 x) 2)))) (+.f64 3 (.f64 3/2 2)))
(/.f64 (+.f64 2 (.f64 (.f64 -1/16 (sqrt.f64 2)) (.f64 (.f64 -1/2 (.f64 x x)) (pow.f64 (sin.f64 x) 2)))) (+.f64 3 (.f64 3/2 (+.f64 (-.f64 3 (sqrt.f64 5)) (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1))))))
(.f64 1/3 (/.f64 (+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (.f64 1/2 (.f64 y y)) (pow.f64 (sin.f64 y) 2)))) 2) (+.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 (cbrt.f64 (.f64 (fma.f64 (sqrt.f64 1/128) (.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1)) 2) 1/6)) 3)
(-.f64 (exp.f64 (log1p.f64 (.f64 (fma.f64 (sqrt.f64 1/128) (.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1)) 2) 1/6))) 1)
(/.f64 (+.f64 2 (.f64 (.f64 -1/16 (sqrt.f64 2)) (.f64 (+.f64 (cos.f64 x) -1) (pow.f64 (sin.f64 x) 2)))) (+.f64 3 (.f64 3/2 (+.f64 (-.f64 3 (sqrt.f64 5)) (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1))))))
(/.f64 (+.f64 2 (.f64 (.f64 -1/16 (sqrt.f64 2)) (.f64 (+.f64 (cos.f64 x) -1) (pow.f64 (sin.f64 x) 2)))) (+.f64 3 (.f64 3/2 (-.f64 3 (-.f64 (sqrt.f64 5) (*.f64 (cos.f64 x) (+.f64 -1 (sqrt.f64 5))))))))
(/.f64 (+.f64 2 (.f64 (.f64 -1/16 (sqrt.f64 2)) (.f64 (+.f64 (cos.f64 x) -1) (pow.f64 (sin.f64 x) 2)))) (+.f64 3 (.f64 3/2 (-.f64 (+.f64 3 (*.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))) (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 (+.f64 5/2 (.f64 (cos.f64 x) (-.f64 (.f64 1/2 (sqrt.f64 5)) 1/2))) (*.f64 1/2 (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 1/2 (+.f64 (.f64 1/2 (sqrt.f64 5)) (.f64 (-.f64 3/2 (*.f64 1/2 (sqrt.f64 5))) (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 3/2 (.f64 (-.f64 3 (sqrt.f64 5)) (cos.f64 y))))))
(/.f64 (+.f64 2 (.f64 (.f64 -1/16 (sqrt.f64 2)) (.f64 (+.f64 (cos.f64 x) -1) (pow.f64 (sin.f64 x) 2)))) (+.f64 3 (.f64 3/2 (+.f64 (-.f64 3 (sqrt.f64 5)) (/.f64 (cos.f64 x) (/.f64 1 (+.f64 (sqrt.f64 5) -1)))))))
(/.f64 (+.f64 2 (.f64 (.f64 -1/16 (sqrt.f64 2)) (.f64 (+.f64 (cos.f64 x) -1) (pow.f64 (sin.f64 x) 2)))) (+.f64 3 (.f64 3/2 (+.f64 (-.f64 3 (sqrt.f64 5)) (/.f64 (*.f64 (cos.f64 x) 4) (+.f64 (sqrt.f64 5) 1))))))
(.f64 1/3 (/.f64 (+.f64 2 (.f64 (sqrt.f64 2) (.f64 (.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1)) -1/16))) (+.f64 1 (-.f64 (+.f64 3/2 (.f64 (cos.f64 x) (-.f64 (.f64 1/2 (sqrt.f64 5)) 1/2))) (*.f64 1/2 (sqrt.f64 5))))))
(.f64 1/3 (/.f64 (+.f64 2 (.f64 (sqrt.f64 2) (.f64 (.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1)) -1/16))) (+.f64 1 (-.f64 (+.f64 (.f64 1/2 (sqrt.f64 5)) (.f64 (-.f64 3/2 (*.f64 1/2 (sqrt.f64 5))) (cos.f64 y))) 1/2))))
(.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 1/2 (+.f64 (.f64 1/2 (sqrt.f64 5)) (.f64 (/.f64 1 (+.f64 3/2 (*.f64 1/2 (sqrt.f64 5)))) (cos.f64 y))))))
(.f64 1/3 (/.f64 (+.f64 2 (.f64 (sqrt.f64 2) (.f64 (.f64 (pow.f64 (sin.f64 x) 2) (.f64 -1/2 (.f64 x x))) -1/16))) (+.f64 1 (+.f64 (.f64 (-.f64 3/2 (.f64 1/2 (sqrt.f64 5))) (cos.f64 y)) (.f64 (cos.f64 x) (-.f64 (.f64 1/2 (sqrt.f64 5)) 1/2))))))
(.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 5/2 (-.f64 (.f64 (fma.f64 1/2 (sqrt.f64 5) -1/2) (cos.f64 x)) (.f64 1/2 (sqrt.f64 5))))))
(/.f64 (+.f64 2 (.f64 (.f64 -1/16 (sqrt.f64 2)) (.f64 (fabs.f64 (+.f64 (cos.f64 x) -1)) (pow.f64 (sin.f64 x) 2)))) (+.f64 3 (.f64 3/2 (+.f64 (-.f64 3 (sqrt.f64 5)) (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1))))))
(/.f64 (+.f64 2 (.f64 (.f64 -1/16 (sqrt.f64 2)) (.f64 (+.f64 (cos.f64 x) -1) (pow.f64 (sin.f64 x) 2)))) (+.f64 3 (.f64 3/2 (+.f64 (-.f64 3 (sqrt.f64 5)) (fabs.f64 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)))))))
(/.f64 (+.f64 2 (.f64 (.f64 -1/16 (sqrt.f64 2)) (.f64 (+.f64 (cos.f64 x) -1) (pow.f64 (sin.f64 x) 2)))) (+.f64 3 (.f64 3/2 (+.f64 (-.f64 3 (sqrt.f64 5)) (+.f64 (*.f64 (cos.f64 x) (sqrt.f64 5)) (neg.f64 (cos.f64 x)))))))

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

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

Calls

2 calls:

56.0ms	y
56.0ms	x

Results

Error	Segments	Branch
12.5b	3	`x`
12.7b	3	`y`

Compiler

Compiled 1044 to 865 computations (17.1% saved)

bsearch305.0ms (1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
125.0ms	0.06246404786026114	1.8035295730049339
179.0ms	-4.42537402835133e+28	-1.0592147902724063e-17

Results

175.0ms	83×	body	1024	valid
96.0ms	185×	body	256	valid
24.0ms	36×	body	512	valid

Compiler

Compiled 1489 to 1324 computations (11.1% saved)

regimes189.0ms (0.6%)

Counts

37 → 3

Calls

Call 1

Inputs
1/3
(+.f64 1/3 (.f64 1/12 (.f64 (.f64 y y) (-.f64 3/2 (.f64 1/2 (sqrt.f64 5))))))
(+.f64 (sqrt.f64 (*.f64 (pow.f64 x 8) 1/18432)) 1/3)
(+.f64 (.f64 1/192 (.f64 (sqrt.f64 2) (pow.f64 x 4))) 1/3)
(+.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 x 4) 1/192)) 1/3)
(/.f64 (+.f64 2 (.f64 (sqrt.f64 2) (.f64 (pow.f64 x 4) 1/32))) (+.f64 3 (*.f64 3/2 2)))
(+.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 (sqrt.f64 2) 1/192)) (*.f64 x x)) 2) 1/3)
(/.f64 2/3 (+.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 2 (.f64 (-.f64 1/2 (/.f64 (cos.f64 (+.f64 x x)) 2)) (.f64 (sqrt.f64 1/128) (+.f64 (cos.f64 x) -1)))) (+.f64 3 (*.f64 3/2 2)))
(/.f64 (+.f64 2 (.f64 (.f64 -1/16 (sqrt.f64 2)) (.f64 (+.f64 (cos.f64 x) -1) (-.f64 1/2 (/.f64 (cos.f64 (+.f64 x x)) 2))))) (+.f64 3 (.f64 3/2 2)))
(+.f64 (.f64 1/192 (exp.f64 (log.f64 (.f64 (sqrt.f64 2) (pow.f64 x 4))))) 1/3)
(+.f64 (-.f64 (exp.f64 (log1p.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 x 4) 1/192)))) 1) 1/3)
(.f64 (-.f64 -2 (.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (sqrt.f64 1/128) (+.f64 (cos.f64 x) -1)))) -1/6)
(+.f64 1/3 (.f64 (.f64 (sqrt.f64 2) (*.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1))) -1/96))
(/.f64 (+.f64 2 (.f64 (.f64 -1/16 (sqrt.f64 2)) (.f64 (+.f64 (cos.f64 x) -1) (pow.f64 (sin.f64 x) 2)))) (+.f64 3 (.f64 3/2 2)))
(/.f64 2/3 (+.f64 1/2 (fma.f64 (fma.f64 -1/2 (sqrt.f64 5) 3/2) (cos.f64 y) (*.f64 1/2 (sqrt.f64 5)))))
(/.f64 (+.f64 2 (.f64 (.f64 -1/16 (sqrt.f64 2)) (.f64 (+.f64 (cos.f64 x) -1) (+.f64 (.f64 -1/3 (pow.f64 x 4)) (+.f64 (.f64 2/45 (pow.f64 x 6)) (pow.f64 x 2)))))) (+.f64 3 (.f64 3/2 2)))
(/.f64 (+.f64 2 (.f64 (.f64 -1/16 (sqrt.f64 2)) (.f64 (+.f64 (cos.f64 x) -1) (pow.f64 (sin.f64 x) 2)))) (+.f64 3 (.f64 3/2 (+.f64 2 (.f64 -1/2 (.f64 (*.f64 x x) (+.f64 (sqrt.f64 5) -1)))))))
(/.f64 2/3 (fma.f64 (fma.f64 -1/2 (sqrt.f64 5) 3/2) (cos.f64 y) (fma.f64 1/2 (sqrt.f64 5) 1/2)))
(/.f64 (+.f64 2 (.f64 (.f64 -1/16 (sqrt.f64 2)) (.f64 (log1p.f64 (expm1.f64 (+.f64 (cos.f64 x) -1))) (pow.f64 (sin.f64 x) 2)))) (+.f64 3 (.f64 3/2 2)))
(/.f64 (+.f64 2 (.f64 (.f64 -1/16 (sqrt.f64 2)) (.f64 (pow.f64 (cbrt.f64 (+.f64 (cos.f64 x) -1)) 3) (pow.f64 (sin.f64 x) 2)))) (+.f64 3 (.f64 3/2 2)))
(/.f64 (+.f64 2 (.f64 (.f64 -1/16 (sqrt.f64 2)) (.f64 (.f64 -1/2 (.f64 x x)) (pow.f64 (sin.f64 x) 2)))) (+.f64 3 (.f64 3/2 (+.f64 (-.f64 3 (sqrt.f64 5)) (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1))))))
(.f64 1/3 (/.f64 (+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (.f64 1/2 (.f64 y y)) (pow.f64 (sin.f64 y) 2)))) 2) (+.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 (cbrt.f64 (.f64 (fma.f64 (sqrt.f64 1/128) (.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1)) 2) 1/6)) 3)
(-.f64 (exp.f64 (log1p.f64 (.f64 (fma.f64 (sqrt.f64 1/128) (.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1)) 2) 1/6))) 1)
(/.f64 (+.f64 2 (.f64 (.f64 -1/16 (sqrt.f64 2)) (.f64 (+.f64 (cos.f64 x) -1) (pow.f64 (sin.f64 x) 2)))) (+.f64 3 (.f64 3/2 (+.f64 (-.f64 3 (sqrt.f64 5)) (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1))))))
(/.f64 (+.f64 2 (.f64 (.f64 -1/16 (sqrt.f64 2)) (.f64 (+.f64 (cos.f64 x) -1) (pow.f64 (sin.f64 x) 2)))) (+.f64 3 (.f64 3/2 (-.f64 3 (-.f64 (sqrt.f64 5) (*.f64 (cos.f64 x) (+.f64 -1 (sqrt.f64 5))))))))
(/.f64 (+.f64 2 (.f64 (.f64 -1/16 (sqrt.f64 2)) (.f64 (+.f64 (cos.f64 x) -1) (pow.f64 (sin.f64 x) 2)))) (+.f64 3 (.f64 3/2 (-.f64 (+.f64 3 (*.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))) (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 (+.f64 5/2 (.f64 (cos.f64 x) (-.f64 (.f64 1/2 (sqrt.f64 5)) 1/2))) (*.f64 1/2 (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 1/2 (+.f64 (.f64 1/2 (sqrt.f64 5)) (.f64 (-.f64 3/2 (*.f64 1/2 (sqrt.f64 5))) (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 3/2 (.f64 (-.f64 3 (sqrt.f64 5)) (cos.f64 y))))))
(/.f64 (+.f64 2 (.f64 (.f64 -1/16 (sqrt.f64 2)) (.f64 (+.f64 (cos.f64 x) -1) (pow.f64 (sin.f64 x) 2)))) (+.f64 3 (.f64 3/2 (+.f64 (-.f64 3 (sqrt.f64 5)) (/.f64 (cos.f64 x) (/.f64 1 (+.f64 (sqrt.f64 5) -1)))))))
(/.f64 (+.f64 2 (.f64 (.f64 -1/16 (sqrt.f64 2)) (.f64 (+.f64 (cos.f64 x) -1) (pow.f64 (sin.f64 x) 2)))) (+.f64 3 (.f64 3/2 (+.f64 (-.f64 3 (sqrt.f64 5)) (/.f64 (*.f64 (cos.f64 x) 4) (+.f64 (sqrt.f64 5) 1))))))
(.f64 1/3 (/.f64 (+.f64 2 (.f64 (sqrt.f64 2) (.f64 (.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1)) -1/16))) (+.f64 1 (-.f64 (+.f64 3/2 (.f64 (cos.f64 x) (-.f64 (.f64 1/2 (sqrt.f64 5)) 1/2))) (*.f64 1/2 (sqrt.f64 5))))))
(.f64 1/3 (/.f64 (+.f64 2 (.f64 (sqrt.f64 2) (.f64 (.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1)) -1/16))) (+.f64 1 (-.f64 (+.f64 (.f64 1/2 (sqrt.f64 5)) (.f64 (-.f64 3/2 (*.f64 1/2 (sqrt.f64 5))) (cos.f64 y))) 1/2))))
(.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 1/2 (+.f64 (.f64 1/2 (sqrt.f64 5)) (.f64 (/.f64 1 (+.f64 3/2 (*.f64 1/2 (sqrt.f64 5)))) (cos.f64 y))))))
(.f64 1/3 (/.f64 (+.f64 2 (.f64 (sqrt.f64 2) (.f64 (.f64 (pow.f64 (sin.f64 x) 2) (.f64 -1/2 (.f64 x x))) -1/16))) (+.f64 1 (+.f64 (.f64 (-.f64 3/2 (.f64 1/2 (sqrt.f64 5))) (cos.f64 y)) (.f64 (cos.f64 x) (-.f64 (.f64 1/2 (sqrt.f64 5)) 1/2))))))

Outputs

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

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

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

Calls

2 calls:

75.0ms	y
51.0ms	x

Results

Error	Segments	Branch
12.5b	3	`x`
12.7b	3	`y`

Compiler

Compiled 907 to 754 computations (16.9% saved)

bsearch289.0ms (0.9%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
121.0ms	0.06246404786026114	1.8035295730049339
167.0ms	-4.42537402835133e+28	-1.0592147902724063e-17

Results

146.0ms	194×	body	256	valid
83.0ms	80×	body	1024	valid
50.0ms	30×	body	512	valid

Compiler

Compiled 1501 to 1336 computations (11% saved)

regimes184.0ms (0.6%)

Counts

32 → 3

Calls

Call 1

Inputs
1/3
(+.f64 1/3 (.f64 1/12 (.f64 (.f64 y y) (-.f64 3/2 (.f64 1/2 (sqrt.f64 5))))))
(+.f64 (sqrt.f64 (*.f64 (pow.f64 x 8) 1/18432)) 1/3)
(+.f64 (.f64 1/192 (.f64 (sqrt.f64 2) (pow.f64 x 4))) 1/3)
(+.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 x 4) 1/192)) 1/3)
(/.f64 (+.f64 2 (.f64 (sqrt.f64 2) (.f64 (pow.f64 x 4) 1/32))) (+.f64 3 (*.f64 3/2 2)))
(+.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 (sqrt.f64 2) 1/192)) (*.f64 x x)) 2) 1/3)
(/.f64 2/3 (+.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 2 (.f64 (-.f64 1/2 (/.f64 (cos.f64 (+.f64 x x)) 2)) (.f64 (sqrt.f64 1/128) (+.f64 (cos.f64 x) -1)))) (+.f64 3 (*.f64 3/2 2)))
(/.f64 (+.f64 2 (.f64 (.f64 -1/16 (sqrt.f64 2)) (.f64 (+.f64 (cos.f64 x) -1) (-.f64 1/2 (/.f64 (cos.f64 (+.f64 x x)) 2))))) (+.f64 3 (.f64 3/2 2)))
(+.f64 (.f64 1/192 (exp.f64 (log.f64 (.f64 (sqrt.f64 2) (pow.f64 x 4))))) 1/3)
(+.f64 (-.f64 (exp.f64 (log1p.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 x 4) 1/192)))) 1) 1/3)
(.f64 (-.f64 -2 (.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (sqrt.f64 1/128) (+.f64 (cos.f64 x) -1)))) -1/6)
(+.f64 1/3 (.f64 (.f64 (sqrt.f64 2) (*.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1))) -1/96))
(/.f64 (+.f64 2 (.f64 (.f64 -1/16 (sqrt.f64 2)) (.f64 (+.f64 (cos.f64 x) -1) (pow.f64 (sin.f64 x) 2)))) (+.f64 3 (.f64 3/2 2)))
(/.f64 2/3 (+.f64 1/2 (fma.f64 (fma.f64 -1/2 (sqrt.f64 5) 3/2) (cos.f64 y) (*.f64 1/2 (sqrt.f64 5)))))
(/.f64 (+.f64 2 (.f64 (.f64 -1/16 (sqrt.f64 2)) (.f64 (+.f64 (cos.f64 x) -1) (+.f64 (.f64 -1/3 (pow.f64 x 4)) (+.f64 (.f64 2/45 (pow.f64 x 6)) (pow.f64 x 2)))))) (+.f64 3 (.f64 3/2 2)))
(/.f64 (+.f64 2 (.f64 (.f64 -1/16 (sqrt.f64 2)) (.f64 (+.f64 (cos.f64 x) -1) (pow.f64 (sin.f64 x) 2)))) (+.f64 3 (.f64 3/2 (+.f64 2 (.f64 -1/2 (.f64 (*.f64 x x) (+.f64 (sqrt.f64 5) -1)))))))
(/.f64 2/3 (fma.f64 (fma.f64 -1/2 (sqrt.f64 5) 3/2) (cos.f64 y) (fma.f64 1/2 (sqrt.f64 5) 1/2)))
(/.f64 (+.f64 2 (.f64 (.f64 -1/16 (sqrt.f64 2)) (.f64 (log1p.f64 (expm1.f64 (+.f64 (cos.f64 x) -1))) (pow.f64 (sin.f64 x) 2)))) (+.f64 3 (.f64 3/2 2)))
(/.f64 (+.f64 2 (.f64 (.f64 -1/16 (sqrt.f64 2)) (.f64 (pow.f64 (cbrt.f64 (+.f64 (cos.f64 x) -1)) 3) (pow.f64 (sin.f64 x) 2)))) (+.f64 3 (.f64 3/2 2)))
(/.f64 (+.f64 2 (.f64 (.f64 -1/16 (sqrt.f64 2)) (.f64 (.f64 -1/2 (.f64 x x)) (pow.f64 (sin.f64 x) 2)))) (+.f64 3 (.f64 3/2 (+.f64 (-.f64 3 (sqrt.f64 5)) (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1))))))
(.f64 1/3 (/.f64 (+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (.f64 1/2 (.f64 y y)) (pow.f64 (sin.f64 y) 2)))) 2) (+.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 (cbrt.f64 (.f64 (fma.f64 (sqrt.f64 1/128) (.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1)) 2) 1/6)) 3)
(-.f64 (exp.f64 (log1p.f64 (.f64 (fma.f64 (sqrt.f64 1/128) (.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1)) 2) 1/6))) 1)
(/.f64 (+.f64 2 (.f64 (.f64 -1/16 (sqrt.f64 2)) (.f64 (+.f64 (cos.f64 x) -1) (pow.f64 (sin.f64 x) 2)))) (+.f64 3 (.f64 3/2 (+.f64 (-.f64 3 (sqrt.f64 5)) (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1))))))
(/.f64 (+.f64 2 (.f64 (.f64 -1/16 (sqrt.f64 2)) (.f64 (+.f64 (cos.f64 x) -1) (pow.f64 (sin.f64 x) 2)))) (+.f64 3 (.f64 3/2 (-.f64 3 (-.f64 (sqrt.f64 5) (*.f64 (cos.f64 x) (+.f64 -1 (sqrt.f64 5))))))))
(/.f64 (+.f64 2 (.f64 (.f64 -1/16 (sqrt.f64 2)) (.f64 (+.f64 (cos.f64 x) -1) (pow.f64 (sin.f64 x) 2)))) (+.f64 3 (.f64 3/2 (-.f64 (+.f64 3 (*.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))) (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 (+.f64 5/2 (.f64 (cos.f64 x) (-.f64 (.f64 1/2 (sqrt.f64 5)) 1/2))) (*.f64 1/2 (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 1/2 (+.f64 (.f64 1/2 (sqrt.f64 5)) (.f64 (-.f64 3/2 (*.f64 1/2 (sqrt.f64 5))) (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 3/2 (.f64 (-.f64 3 (sqrt.f64 5)) (cos.f64 y))))))
(/.f64 (+.f64 2 (.f64 (.f64 -1/16 (sqrt.f64 2)) (.f64 (+.f64 (cos.f64 x) -1) (pow.f64 (sin.f64 x) 2)))) (+.f64 3 (.f64 3/2 (+.f64 (-.f64 3 (sqrt.f64 5)) (/.f64 (cos.f64 x) (/.f64 1 (+.f64 (sqrt.f64 5) -1)))))))

Outputs

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

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

Calls

2 calls:

84.0ms	x
50.0ms	y

Results

Error	Segments	Branch
12.5b	3	`x`
12.7b	3	`y`

Compiler

Compiled 720 to 600 computations (16.7% saved)

bsearch184.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
72.0ms	0.06246404786026114	1.8035295730049339
112.0ms	-4.42537402835133e+28	-1.0592147902724063e-17

Results

82.0ms	81×	body	1024	valid
70.0ms	194×	body	256	valid
19.0ms	29×	body	512	valid

Compiler

Compiled 1477 to 1312 computations (11.2% saved)

regimes117.0ms (0.4%)

Counts

31 → 3

Calls

Call 1

Inputs
1/3
(+.f64 1/3 (.f64 1/12 (.f64 (.f64 y y) (-.f64 3/2 (.f64 1/2 (sqrt.f64 5))))))
(+.f64 (sqrt.f64 (*.f64 (pow.f64 x 8) 1/18432)) 1/3)
(+.f64 (.f64 1/192 (.f64 (sqrt.f64 2) (pow.f64 x 4))) 1/3)
(+.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 x 4) 1/192)) 1/3)
(/.f64 (+.f64 2 (.f64 (sqrt.f64 2) (.f64 (pow.f64 x 4) 1/32))) (+.f64 3 (*.f64 3/2 2)))
(+.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 (sqrt.f64 2) 1/192)) (*.f64 x x)) 2) 1/3)
(/.f64 2/3 (+.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 2 (.f64 (-.f64 1/2 (/.f64 (cos.f64 (+.f64 x x)) 2)) (.f64 (sqrt.f64 1/128) (+.f64 (cos.f64 x) -1)))) (+.f64 3 (*.f64 3/2 2)))
(/.f64 (+.f64 2 (.f64 (.f64 -1/16 (sqrt.f64 2)) (.f64 (+.f64 (cos.f64 x) -1) (-.f64 1/2 (/.f64 (cos.f64 (+.f64 x x)) 2))))) (+.f64 3 (.f64 3/2 2)))
(+.f64 (.f64 1/192 (exp.f64 (log.f64 (.f64 (sqrt.f64 2) (pow.f64 x 4))))) 1/3)
(+.f64 (-.f64 (exp.f64 (log1p.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 x 4) 1/192)))) 1) 1/3)
(.f64 (-.f64 -2 (.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (sqrt.f64 1/128) (+.f64 (cos.f64 x) -1)))) -1/6)
(+.f64 1/3 (.f64 (.f64 (sqrt.f64 2) (*.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1))) -1/96))
(/.f64 (+.f64 2 (.f64 (.f64 -1/16 (sqrt.f64 2)) (.f64 (+.f64 (cos.f64 x) -1) (pow.f64 (sin.f64 x) 2)))) (+.f64 3 (.f64 3/2 2)))
(/.f64 2/3 (+.f64 1/2 (fma.f64 (fma.f64 -1/2 (sqrt.f64 5) 3/2) (cos.f64 y) (*.f64 1/2 (sqrt.f64 5)))))
(/.f64 (+.f64 2 (.f64 (.f64 -1/16 (sqrt.f64 2)) (.f64 (+.f64 (cos.f64 x) -1) (+.f64 (.f64 -1/3 (pow.f64 x 4)) (+.f64 (.f64 2/45 (pow.f64 x 6)) (pow.f64 x 2)))))) (+.f64 3 (.f64 3/2 2)))
(/.f64 (+.f64 2 (.f64 (.f64 -1/16 (sqrt.f64 2)) (.f64 (+.f64 (cos.f64 x) -1) (pow.f64 (sin.f64 x) 2)))) (+.f64 3 (.f64 3/2 (+.f64 2 (.f64 -1/2 (.f64 (*.f64 x x) (+.f64 (sqrt.f64 5) -1)))))))
(/.f64 2/3 (fma.f64 (fma.f64 -1/2 (sqrt.f64 5) 3/2) (cos.f64 y) (fma.f64 1/2 (sqrt.f64 5) 1/2)))
(/.f64 (+.f64 2 (.f64 (.f64 -1/16 (sqrt.f64 2)) (.f64 (log1p.f64 (expm1.f64 (+.f64 (cos.f64 x) -1))) (pow.f64 (sin.f64 x) 2)))) (+.f64 3 (.f64 3/2 2)))
(/.f64 (+.f64 2 (.f64 (.f64 -1/16 (sqrt.f64 2)) (.f64 (pow.f64 (cbrt.f64 (+.f64 (cos.f64 x) -1)) 3) (pow.f64 (sin.f64 x) 2)))) (+.f64 3 (.f64 3/2 2)))
(/.f64 (+.f64 2 (.f64 (.f64 -1/16 (sqrt.f64 2)) (.f64 (.f64 -1/2 (.f64 x x)) (pow.f64 (sin.f64 x) 2)))) (+.f64 3 (.f64 3/2 (+.f64 (-.f64 3 (sqrt.f64 5)) (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1))))))
(.f64 1/3 (/.f64 (+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (.f64 1/2 (.f64 y y)) (pow.f64 (sin.f64 y) 2)))) 2) (+.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 (cbrt.f64 (.f64 (fma.f64 (sqrt.f64 1/128) (.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1)) 2) 1/6)) 3)
(-.f64 (exp.f64 (log1p.f64 (.f64 (fma.f64 (sqrt.f64 1/128) (.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1)) 2) 1/6))) 1)
(/.f64 (+.f64 2 (.f64 (.f64 -1/16 (sqrt.f64 2)) (.f64 (+.f64 (cos.f64 x) -1) (pow.f64 (sin.f64 x) 2)))) (+.f64 3 (.f64 3/2 (+.f64 (-.f64 3 (sqrt.f64 5)) (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1))))))
(/.f64 (+.f64 2 (.f64 (.f64 -1/16 (sqrt.f64 2)) (.f64 (+.f64 (cos.f64 x) -1) (pow.f64 (sin.f64 x) 2)))) (+.f64 3 (.f64 3/2 (-.f64 3 (-.f64 (sqrt.f64 5) (*.f64 (cos.f64 x) (+.f64 -1 (sqrt.f64 5))))))))
(/.f64 (+.f64 2 (.f64 (.f64 -1/16 (sqrt.f64 2)) (.f64 (+.f64 (cos.f64 x) -1) (pow.f64 (sin.f64 x) 2)))) (+.f64 3 (.f64 3/2 (-.f64 (+.f64 3 (*.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))) (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 (+.f64 5/2 (.f64 (cos.f64 x) (-.f64 (.f64 1/2 (sqrt.f64 5)) 1/2))) (*.f64 1/2 (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 1/2 (+.f64 (.f64 1/2 (sqrt.f64 5)) (.f64 (-.f64 3/2 (*.f64 1/2 (sqrt.f64 5))) (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 3/2 (.f64 (-.f64 3 (sqrt.f64 5)) (cos.f64 y))))))

Outputs

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

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

Calls

2 calls:

54.0ms	x
43.0ms	y

Results

Error	Segments	Branch
12.5b	3	`x`
12.7b	3	`y`

Compiler

Compiled 685 to 571 computations (16.6% saved)

bsearch296.0ms (1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
91.0ms	0.06246404786026114	1.8035295730049339
204.0ms	-4.42537402835133e+28	-1.0592147902724063e-17

Results

127.0ms	80×	body	1024	valid
108.0ms	189×	body	256	valid
53.0ms	35×	body	512	valid

Compiler

Compiled 1463 to 1298 computations (11.3% saved)

regimes204.0ms (0.7%)

Counts

30 → 3

Calls

Call 1

Inputs
1/3
(+.f64 1/3 (.f64 1/12 (.f64 (.f64 y y) (-.f64 3/2 (.f64 1/2 (sqrt.f64 5))))))
(+.f64 (sqrt.f64 (*.f64 (pow.f64 x 8) 1/18432)) 1/3)
(+.f64 (.f64 1/192 (.f64 (sqrt.f64 2) (pow.f64 x 4))) 1/3)
(+.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 x 4) 1/192)) 1/3)
(/.f64 (+.f64 2 (.f64 (sqrt.f64 2) (.f64 (pow.f64 x 4) 1/32))) (+.f64 3 (*.f64 3/2 2)))
(+.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 (sqrt.f64 2) 1/192)) (*.f64 x x)) 2) 1/3)
(/.f64 2/3 (+.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 2 (.f64 (-.f64 1/2 (/.f64 (cos.f64 (+.f64 x x)) 2)) (.f64 (sqrt.f64 1/128) (+.f64 (cos.f64 x) -1)))) (+.f64 3 (*.f64 3/2 2)))
(/.f64 (+.f64 2 (.f64 (.f64 -1/16 (sqrt.f64 2)) (.f64 (+.f64 (cos.f64 x) -1) (-.f64 1/2 (/.f64 (cos.f64 (+.f64 x x)) 2))))) (+.f64 3 (.f64 3/2 2)))
(+.f64 (.f64 1/192 (exp.f64 (log.f64 (.f64 (sqrt.f64 2) (pow.f64 x 4))))) 1/3)
(+.f64 (-.f64 (exp.f64 (log1p.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 x 4) 1/192)))) 1) 1/3)
(.f64 (-.f64 -2 (.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (sqrt.f64 1/128) (+.f64 (cos.f64 x) -1)))) -1/6)
(+.f64 1/3 (.f64 (.f64 (sqrt.f64 2) (*.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1))) -1/96))
(/.f64 (+.f64 2 (.f64 (.f64 -1/16 (sqrt.f64 2)) (.f64 (+.f64 (cos.f64 x) -1) (pow.f64 (sin.f64 x) 2)))) (+.f64 3 (.f64 3/2 2)))
(/.f64 2/3 (+.f64 1/2 (fma.f64 (fma.f64 -1/2 (sqrt.f64 5) 3/2) (cos.f64 y) (*.f64 1/2 (sqrt.f64 5)))))
(/.f64 (+.f64 2 (.f64 (.f64 -1/16 (sqrt.f64 2)) (.f64 (+.f64 (cos.f64 x) -1) (+.f64 (.f64 -1/3 (pow.f64 x 4)) (+.f64 (.f64 2/45 (pow.f64 x 6)) (pow.f64 x 2)))))) (+.f64 3 (.f64 3/2 2)))
(/.f64 (+.f64 2 (.f64 (.f64 -1/16 (sqrt.f64 2)) (.f64 (+.f64 (cos.f64 x) -1) (pow.f64 (sin.f64 x) 2)))) (+.f64 3 (.f64 3/2 (+.f64 2 (.f64 -1/2 (.f64 (*.f64 x x) (+.f64 (sqrt.f64 5) -1)))))))
(/.f64 2/3 (fma.f64 (fma.f64 -1/2 (sqrt.f64 5) 3/2) (cos.f64 y) (fma.f64 1/2 (sqrt.f64 5) 1/2)))
(/.f64 (+.f64 2 (.f64 (.f64 -1/16 (sqrt.f64 2)) (.f64 (log1p.f64 (expm1.f64 (+.f64 (cos.f64 x) -1))) (pow.f64 (sin.f64 x) 2)))) (+.f64 3 (.f64 3/2 2)))
(/.f64 (+.f64 2 (.f64 (.f64 -1/16 (sqrt.f64 2)) (.f64 (pow.f64 (cbrt.f64 (+.f64 (cos.f64 x) -1)) 3) (pow.f64 (sin.f64 x) 2)))) (+.f64 3 (.f64 3/2 2)))
(/.f64 (+.f64 2 (.f64 (.f64 -1/16 (sqrt.f64 2)) (.f64 (.f64 -1/2 (.f64 x x)) (pow.f64 (sin.f64 x) 2)))) (+.f64 3 (.f64 3/2 (+.f64 (-.f64 3 (sqrt.f64 5)) (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1))))))
(.f64 1/3 (/.f64 (+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (.f64 1/2 (.f64 y y)) (pow.f64 (sin.f64 y) 2)))) 2) (+.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 (cbrt.f64 (.f64 (fma.f64 (sqrt.f64 1/128) (.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1)) 2) 1/6)) 3)
(-.f64 (exp.f64 (log1p.f64 (.f64 (fma.f64 (sqrt.f64 1/128) (.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1)) 2) 1/6))) 1)
(/.f64 (+.f64 2 (.f64 (.f64 -1/16 (sqrt.f64 2)) (.f64 (+.f64 (cos.f64 x) -1) (pow.f64 (sin.f64 x) 2)))) (+.f64 3 (.f64 3/2 (+.f64 (-.f64 3 (sqrt.f64 5)) (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1))))))
(/.f64 (+.f64 2 (.f64 (.f64 -1/16 (sqrt.f64 2)) (.f64 (+.f64 (cos.f64 x) -1) (pow.f64 (sin.f64 x) 2)))) (+.f64 3 (.f64 3/2 (-.f64 3 (-.f64 (sqrt.f64 5) (*.f64 (cos.f64 x) (+.f64 -1 (sqrt.f64 5))))))))
(/.f64 (+.f64 2 (.f64 (.f64 -1/16 (sqrt.f64 2)) (.f64 (+.f64 (cos.f64 x) -1) (pow.f64 (sin.f64 x) 2)))) (+.f64 3 (.f64 3/2 (-.f64 (+.f64 3 (*.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))) (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 (+.f64 5/2 (.f64 (cos.f64 x) (-.f64 (.f64 1/2 (sqrt.f64 5)) 1/2))) (*.f64 1/2 (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 1/2 (+.f64 (.f64 1/2 (sqrt.f64 5)) (.f64 (-.f64 3/2 (*.f64 1/2 (sqrt.f64 5))) (cos.f64 y))))))

Outputs

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

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

Calls

2 calls:

110.0ms	x
72.0ms	y

Results

Error	Segments	Branch
12.5b	3	`x`
12.7b	3	`y`

Compiler

Compiled 650 to 542 computations (16.6% saved)

bsearch282.0ms (0.9%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
98.0ms	0.06246404786026114	1.8035295730049339
184.0ms	-4.42537402835133e+28	-1.0592147902724063e-17

Results

142.0ms	83×	body	1024	valid
106.0ms	182×	body	256	valid
26.0ms	39×	body	512	valid

Compiler

Compiled 1463 to 1298 computations (11.3% saved)

regimes132.0ms (0.4%)

Counts

29 → 3

Calls

Call 1

Inputs
1/3
(+.f64 1/3 (.f64 1/12 (.f64 (.f64 y y) (-.f64 3/2 (.f64 1/2 (sqrt.f64 5))))))
(+.f64 (sqrt.f64 (*.f64 (pow.f64 x 8) 1/18432)) 1/3)
(+.f64 (.f64 1/192 (.f64 (sqrt.f64 2) (pow.f64 x 4))) 1/3)
(+.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 x 4) 1/192)) 1/3)
(/.f64 (+.f64 2 (.f64 (sqrt.f64 2) (.f64 (pow.f64 x 4) 1/32))) (+.f64 3 (*.f64 3/2 2)))
(+.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 (sqrt.f64 2) 1/192)) (*.f64 x x)) 2) 1/3)
(/.f64 2/3 (+.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 2 (.f64 (-.f64 1/2 (/.f64 (cos.f64 (+.f64 x x)) 2)) (.f64 (sqrt.f64 1/128) (+.f64 (cos.f64 x) -1)))) (+.f64 3 (*.f64 3/2 2)))
(/.f64 (+.f64 2 (.f64 (.f64 -1/16 (sqrt.f64 2)) (.f64 (+.f64 (cos.f64 x) -1) (-.f64 1/2 (/.f64 (cos.f64 (+.f64 x x)) 2))))) (+.f64 3 (.f64 3/2 2)))
(+.f64 (.f64 1/192 (exp.f64 (log.f64 (.f64 (sqrt.f64 2) (pow.f64 x 4))))) 1/3)
(+.f64 (-.f64 (exp.f64 (log1p.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 x 4) 1/192)))) 1) 1/3)
(.f64 (-.f64 -2 (.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (sqrt.f64 1/128) (+.f64 (cos.f64 x) -1)))) -1/6)
(+.f64 1/3 (.f64 (.f64 (sqrt.f64 2) (*.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1))) -1/96))
(/.f64 (+.f64 2 (.f64 (.f64 -1/16 (sqrt.f64 2)) (.f64 (+.f64 (cos.f64 x) -1) (pow.f64 (sin.f64 x) 2)))) (+.f64 3 (.f64 3/2 2)))
(/.f64 2/3 (+.f64 1/2 (fma.f64 (fma.f64 -1/2 (sqrt.f64 5) 3/2) (cos.f64 y) (*.f64 1/2 (sqrt.f64 5)))))
(/.f64 (+.f64 2 (.f64 (.f64 -1/16 (sqrt.f64 2)) (.f64 (+.f64 (cos.f64 x) -1) (+.f64 (.f64 -1/3 (pow.f64 x 4)) (+.f64 (.f64 2/45 (pow.f64 x 6)) (pow.f64 x 2)))))) (+.f64 3 (.f64 3/2 2)))
(/.f64 (+.f64 2 (.f64 (.f64 -1/16 (sqrt.f64 2)) (.f64 (+.f64 (cos.f64 x) -1) (pow.f64 (sin.f64 x) 2)))) (+.f64 3 (.f64 3/2 (+.f64 2 (.f64 -1/2 (.f64 (*.f64 x x) (+.f64 (sqrt.f64 5) -1)))))))
(/.f64 2/3 (fma.f64 (fma.f64 -1/2 (sqrt.f64 5) 3/2) (cos.f64 y) (fma.f64 1/2 (sqrt.f64 5) 1/2)))
(/.f64 (+.f64 2 (.f64 (.f64 -1/16 (sqrt.f64 2)) (.f64 (log1p.f64 (expm1.f64 (+.f64 (cos.f64 x) -1))) (pow.f64 (sin.f64 x) 2)))) (+.f64 3 (.f64 3/2 2)))
(/.f64 (+.f64 2 (.f64 (.f64 -1/16 (sqrt.f64 2)) (.f64 (pow.f64 (cbrt.f64 (+.f64 (cos.f64 x) -1)) 3) (pow.f64 (sin.f64 x) 2)))) (+.f64 3 (.f64 3/2 2)))
(/.f64 (+.f64 2 (.f64 (.f64 -1/16 (sqrt.f64 2)) (.f64 (.f64 -1/2 (.f64 x x)) (pow.f64 (sin.f64 x) 2)))) (+.f64 3 (.f64 3/2 (+.f64 (-.f64 3 (sqrt.f64 5)) (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1))))))
(.f64 1/3 (/.f64 (+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (.f64 1/2 (.f64 y y)) (pow.f64 (sin.f64 y) 2)))) 2) (+.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 (cbrt.f64 (.f64 (fma.f64 (sqrt.f64 1/128) (.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1)) 2) 1/6)) 3)
(-.f64 (exp.f64 (log1p.f64 (.f64 (fma.f64 (sqrt.f64 1/128) (.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1)) 2) 1/6))) 1)
(/.f64 (+.f64 2 (.f64 (.f64 -1/16 (sqrt.f64 2)) (.f64 (+.f64 (cos.f64 x) -1) (pow.f64 (sin.f64 x) 2)))) (+.f64 3 (.f64 3/2 (+.f64 (-.f64 3 (sqrt.f64 5)) (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1))))))
(/.f64 (+.f64 2 (.f64 (.f64 -1/16 (sqrt.f64 2)) (.f64 (+.f64 (cos.f64 x) -1) (pow.f64 (sin.f64 x) 2)))) (+.f64 3 (.f64 3/2 (-.f64 3 (-.f64 (sqrt.f64 5) (*.f64 (cos.f64 x) (+.f64 -1 (sqrt.f64 5))))))))
(/.f64 (+.f64 2 (.f64 (.f64 -1/16 (sqrt.f64 2)) (.f64 (+.f64 (cos.f64 x) -1) (pow.f64 (sin.f64 x) 2)))) (+.f64 3 (.f64 3/2 (-.f64 (+.f64 3 (*.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))) (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 (+.f64 5/2 (.f64 (cos.f64 x) (-.f64 (.f64 1/2 (sqrt.f64 5)) 1/2))) (*.f64 1/2 (sqrt.f64 5)))))

Outputs

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

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

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

Calls

2 calls:

68.0ms	x
47.0ms	y

Results

Error	Segments	Branch
23.3b	3	`x`
24.4b	1	`y`

Compiler

Compiled 615 to 513 computations (16.6% saved)

bsearch248.0ms (0.8%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
68.0ms	0.06246404786026114	1.8035295730049339
180.0ms	-4.42537402835133e+28	-1.0592147902724063e-17

Results

156.0ms	87×	body	1024	valid
66.0ms	189×	body	256	valid
19.0ms	28×	body	512	valid

Compiler

Compiled 1083 to 975 computations (10% saved)

regimes72.0ms (0.2%)

Counts

26 → 3

Calls

Call 1

Inputs
1/3
(+.f64 1/3 (.f64 1/12 (.f64 (.f64 y y) (-.f64 3/2 (.f64 1/2 (sqrt.f64 5))))))
(+.f64 (sqrt.f64 (*.f64 (pow.f64 x 8) 1/18432)) 1/3)
(+.f64 (.f64 1/192 (.f64 (sqrt.f64 2) (pow.f64 x 4))) 1/3)
(+.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 x 4) 1/192)) 1/3)
(/.f64 (+.f64 2 (.f64 (sqrt.f64 2) (.f64 (pow.f64 x 4) 1/32))) (+.f64 3 (*.f64 3/2 2)))
(+.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 (sqrt.f64 2) 1/192)) (*.f64 x x)) 2) 1/3)
(/.f64 2/3 (+.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 2 (.f64 (-.f64 1/2 (/.f64 (cos.f64 (+.f64 x x)) 2)) (.f64 (sqrt.f64 1/128) (+.f64 (cos.f64 x) -1)))) (+.f64 3 (*.f64 3/2 2)))
(/.f64 (+.f64 2 (.f64 (.f64 -1/16 (sqrt.f64 2)) (.f64 (+.f64 (cos.f64 x) -1) (-.f64 1/2 (/.f64 (cos.f64 (+.f64 x x)) 2))))) (+.f64 3 (.f64 3/2 2)))
(+.f64 (.f64 1/192 (exp.f64 (log.f64 (.f64 (sqrt.f64 2) (pow.f64 x 4))))) 1/3)
(+.f64 (-.f64 (exp.f64 (log1p.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 x 4) 1/192)))) 1) 1/3)
(.f64 (-.f64 -2 (.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (sqrt.f64 1/128) (+.f64 (cos.f64 x) -1)))) -1/6)
(+.f64 1/3 (.f64 (.f64 (sqrt.f64 2) (*.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1))) -1/96))
(/.f64 (+.f64 2 (.f64 (.f64 -1/16 (sqrt.f64 2)) (.f64 (+.f64 (cos.f64 x) -1) (pow.f64 (sin.f64 x) 2)))) (+.f64 3 (.f64 3/2 2)))
(/.f64 2/3 (+.f64 1/2 (fma.f64 (fma.f64 -1/2 (sqrt.f64 5) 3/2) (cos.f64 y) (*.f64 1/2 (sqrt.f64 5)))))
(/.f64 (+.f64 2 (.f64 (.f64 -1/16 (sqrt.f64 2)) (.f64 (+.f64 (cos.f64 x) -1) (+.f64 (.f64 -1/3 (pow.f64 x 4)) (+.f64 (.f64 2/45 (pow.f64 x 6)) (pow.f64 x 2)))))) (+.f64 3 (.f64 3/2 2)))
(/.f64 (+.f64 2 (.f64 (.f64 -1/16 (sqrt.f64 2)) (.f64 (+.f64 (cos.f64 x) -1) (pow.f64 (sin.f64 x) 2)))) (+.f64 3 (.f64 3/2 (+.f64 2 (.f64 -1/2 (.f64 (*.f64 x x) (+.f64 (sqrt.f64 5) -1)))))))
(/.f64 2/3 (fma.f64 (fma.f64 -1/2 (sqrt.f64 5) 3/2) (cos.f64 y) (fma.f64 1/2 (sqrt.f64 5) 1/2)))
(/.f64 (+.f64 2 (.f64 (.f64 -1/16 (sqrt.f64 2)) (.f64 (log1p.f64 (expm1.f64 (+.f64 (cos.f64 x) -1))) (pow.f64 (sin.f64 x) 2)))) (+.f64 3 (.f64 3/2 2)))
(/.f64 (+.f64 2 (.f64 (.f64 -1/16 (sqrt.f64 2)) (.f64 (pow.f64 (cbrt.f64 (+.f64 (cos.f64 x) -1)) 3) (pow.f64 (sin.f64 x) 2)))) (+.f64 3 (.f64 3/2 2)))
(/.f64 (+.f64 2 (.f64 (.f64 -1/16 (sqrt.f64 2)) (.f64 (.f64 -1/2 (.f64 x x)) (pow.f64 (sin.f64 x) 2)))) (+.f64 3 (.f64 3/2 (+.f64 (-.f64 3 (sqrt.f64 5)) (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1))))))
(.f64 1/3 (/.f64 (+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (.f64 1/2 (.f64 y y)) (pow.f64 (sin.f64 y) 2)))) 2) (+.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 (cbrt.f64 (.f64 (fma.f64 (sqrt.f64 1/128) (.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1)) 2) 1/6)) 3)
(-.f64 (exp.f64 (log1p.f64 (.f64 (fma.f64 (sqrt.f64 1/128) (.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1)) 2) 1/6))) 1)
(/.f64 (+.f64 2 (.f64 (.f64 -1/16 (sqrt.f64 2)) (.f64 (+.f64 (cos.f64 x) -1) (pow.f64 (sin.f64 x) 2)))) (+.f64 3 (.f64 3/2 (+.f64 (-.f64 3 (sqrt.f64 5)) (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1))))))

Outputs

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

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

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

Calls

2 calls:

37.0ms	x
13.0ms	y

Results

Error	Segments	Branch
23.3b	3	`x`
24.4b	1	`y`

Compiler

Compiled 514 to 430 computations (16.3% saved)

bsearch197.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
80.0ms	0.06246404786026114	1.8035295730049339
116.0ms	-4.42537402835133e+28	-1.0592147902724063e-17

Results

93.0ms	77×	body	1024	valid
67.0ms	191×	body	256	valid
28.0ms	36×	body	512	valid

Compiler

Compiled 1083 to 975 computations (10% saved)

regimes37.0ms (0.1%)

Counts

25 → 1

Calls

Call 1

Inputs
1/3
(+.f64 1/3 (.f64 1/12 (.f64 (.f64 y y) (-.f64 3/2 (.f64 1/2 (sqrt.f64 5))))))
(+.f64 (sqrt.f64 (*.f64 (pow.f64 x 8) 1/18432)) 1/3)
(+.f64 (.f64 1/192 (.f64 (sqrt.f64 2) (pow.f64 x 4))) 1/3)
(+.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 x 4) 1/192)) 1/3)
(/.f64 (+.f64 2 (.f64 (sqrt.f64 2) (.f64 (pow.f64 x 4) 1/32))) (+.f64 3 (*.f64 3/2 2)))
(+.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 (sqrt.f64 2) 1/192)) (*.f64 x x)) 2) 1/3)
(/.f64 2/3 (+.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 2 (.f64 (-.f64 1/2 (/.f64 (cos.f64 (+.f64 x x)) 2)) (.f64 (sqrt.f64 1/128) (+.f64 (cos.f64 x) -1)))) (+.f64 3 (*.f64 3/2 2)))
(/.f64 (+.f64 2 (.f64 (.f64 -1/16 (sqrt.f64 2)) (.f64 (+.f64 (cos.f64 x) -1) (-.f64 1/2 (/.f64 (cos.f64 (+.f64 x x)) 2))))) (+.f64 3 (.f64 3/2 2)))
(+.f64 (.f64 1/192 (exp.f64 (log.f64 (.f64 (sqrt.f64 2) (pow.f64 x 4))))) 1/3)
(+.f64 (-.f64 (exp.f64 (log1p.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 x 4) 1/192)))) 1) 1/3)
(.f64 (-.f64 -2 (.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (sqrt.f64 1/128) (+.f64 (cos.f64 x) -1)))) -1/6)
(+.f64 1/3 (.f64 (.f64 (sqrt.f64 2) (*.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1))) -1/96))
(/.f64 (+.f64 2 (.f64 (.f64 -1/16 (sqrt.f64 2)) (.f64 (+.f64 (cos.f64 x) -1) (pow.f64 (sin.f64 x) 2)))) (+.f64 3 (.f64 3/2 2)))
(/.f64 2/3 (+.f64 1/2 (fma.f64 (fma.f64 -1/2 (sqrt.f64 5) 3/2) (cos.f64 y) (*.f64 1/2 (sqrt.f64 5)))))
(/.f64 (+.f64 2 (.f64 (.f64 -1/16 (sqrt.f64 2)) (.f64 (+.f64 (cos.f64 x) -1) (+.f64 (.f64 -1/3 (pow.f64 x 4)) (+.f64 (.f64 2/45 (pow.f64 x 6)) (pow.f64 x 2)))))) (+.f64 3 (.f64 3/2 2)))
(/.f64 (+.f64 2 (.f64 (.f64 -1/16 (sqrt.f64 2)) (.f64 (+.f64 (cos.f64 x) -1) (pow.f64 (sin.f64 x) 2)))) (+.f64 3 (.f64 3/2 (+.f64 2 (.f64 -1/2 (.f64 (*.f64 x x) (+.f64 (sqrt.f64 5) -1)))))))
(/.f64 2/3 (fma.f64 (fma.f64 -1/2 (sqrt.f64 5) 3/2) (cos.f64 y) (fma.f64 1/2 (sqrt.f64 5) 1/2)))
(/.f64 (+.f64 2 (.f64 (.f64 -1/16 (sqrt.f64 2)) (.f64 (log1p.f64 (expm1.f64 (+.f64 (cos.f64 x) -1))) (pow.f64 (sin.f64 x) 2)))) (+.f64 3 (.f64 3/2 2)))
(/.f64 (+.f64 2 (.f64 (.f64 -1/16 (sqrt.f64 2)) (.f64 (pow.f64 (cbrt.f64 (+.f64 (cos.f64 x) -1)) 3) (pow.f64 (sin.f64 x) 2)))) (+.f64 3 (.f64 3/2 2)))
(/.f64 (+.f64 2 (.f64 (.f64 -1/16 (sqrt.f64 2)) (.f64 (.f64 -1/2 (.f64 x x)) (pow.f64 (sin.f64 x) 2)))) (+.f64 3 (.f64 3/2 (+.f64 (-.f64 3 (sqrt.f64 5)) (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1))))))
(.f64 1/3 (/.f64 (+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (.f64 1/2 (.f64 y y)) (pow.f64 (sin.f64 y) 2)))) 2) (+.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 (cbrt.f64 (.f64 (fma.f64 (sqrt.f64 1/128) (.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1)) 2) 1/6)) 3)
(-.f64 (exp.f64 (log1p.f64 (.f64 (fma.f64 (sqrt.f64 1/128) (.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1)) 2) 1/6))) 1)

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

Calls

2 calls:

12.0ms	y
12.0ms	x

Results

Error	Segments	Branch
37.8b	1	`x`
37.8b	1	`y`

Compiler

Compiled 481 to 403 computations (16.2% saved)

regimes27.0ms (0.1%)

Counts

18 → 1

Calls

Call 1

Inputs
1/3
(+.f64 1/3 (.f64 1/12 (.f64 (.f64 y y) (-.f64 3/2 (.f64 1/2 (sqrt.f64 5))))))
(+.f64 (sqrt.f64 (*.f64 (pow.f64 x 8) 1/18432)) 1/3)
(+.f64 (.f64 1/192 (.f64 (sqrt.f64 2) (pow.f64 x 4))) 1/3)
(+.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 x 4) 1/192)) 1/3)
(/.f64 (+.f64 2 (.f64 (sqrt.f64 2) (.f64 (pow.f64 x 4) 1/32))) (+.f64 3 (*.f64 3/2 2)))
(+.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 (sqrt.f64 2) 1/192)) (*.f64 x x)) 2) 1/3)
(/.f64 2/3 (+.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 2 (.f64 (-.f64 1/2 (/.f64 (cos.f64 (+.f64 x x)) 2)) (.f64 (sqrt.f64 1/128) (+.f64 (cos.f64 x) -1)))) (+.f64 3 (*.f64 3/2 2)))
(/.f64 (+.f64 2 (.f64 (.f64 -1/16 (sqrt.f64 2)) (.f64 (+.f64 (cos.f64 x) -1) (-.f64 1/2 (/.f64 (cos.f64 (+.f64 x x)) 2))))) (+.f64 3 (.f64 3/2 2)))
(+.f64 (.f64 1/192 (exp.f64 (log.f64 (.f64 (sqrt.f64 2) (pow.f64 x 4))))) 1/3)
(+.f64 (-.f64 (exp.f64 (log1p.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 x 4) 1/192)))) 1) 1/3)
(.f64 (-.f64 -2 (.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (sqrt.f64 1/128) (+.f64 (cos.f64 x) -1)))) -1/6)
(+.f64 1/3 (.f64 (.f64 (sqrt.f64 2) (*.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1))) -1/96))
(/.f64 (+.f64 2 (.f64 (.f64 -1/16 (sqrt.f64 2)) (.f64 (+.f64 (cos.f64 x) -1) (pow.f64 (sin.f64 x) 2)))) (+.f64 3 (.f64 3/2 2)))
(/.f64 2/3 (+.f64 1/2 (fma.f64 (fma.f64 -1/2 (sqrt.f64 5) 3/2) (cos.f64 y) (*.f64 1/2 (sqrt.f64 5)))))
(/.f64 (+.f64 2 (.f64 (.f64 -1/16 (sqrt.f64 2)) (.f64 (+.f64 (cos.f64 x) -1) (+.f64 (.f64 -1/3 (pow.f64 x 4)) (+.f64 (.f64 2/45 (pow.f64 x 6)) (pow.f64 x 2)))))) (+.f64 3 (.f64 3/2 2)))
(/.f64 (+.f64 2 (.f64 (.f64 -1/16 (sqrt.f64 2)) (.f64 (+.f64 (cos.f64 x) -1) (pow.f64 (sin.f64 x) 2)))) (+.f64 3 (.f64 3/2 (+.f64 2 (.f64 -1/2 (.f64 (*.f64 x x) (+.f64 (sqrt.f64 5) -1)))))))

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

Calls

2 calls:

9.0ms	y
9.0ms	x

Results

Error	Segments	Branch
37.8b	1	`x`
37.8b	1	`y`

Compiler

Compiled 310 to 263 computations (15.2% saved)

regimes13.0ms (0%)

Accuracy

Total -9.9b remaining (-25.3%)

Threshold costs -9.9b (-25.3%)

Counts

7 → 1

Calls

Call 1

Inputs
1/3
(+.f64 1/3 (.f64 1/12 (.f64 (.f64 y y) (-.f64 3/2 (.f64 1/2 (sqrt.f64 5))))))
(+.f64 (sqrt.f64 (*.f64 (pow.f64 x 8) 1/18432)) 1/3)
(+.f64 (.f64 1/192 (.f64 (sqrt.f64 2) (pow.f64 x 4))) 1/3)
(+.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 x 4) 1/192)) 1/3)
(/.f64 (+.f64 2 (.f64 (sqrt.f64 2) (.f64 (pow.f64 x 4) 1/32))) (+.f64 3 (*.f64 3/2 2)))
(+.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 (sqrt.f64 2) 1/192)) (*.f64 x x)) 2) 1/3)

Outputs
1/3

Calls

2 calls:

5.0ms	y
5.0ms	x

Results

Error	Segments	Branch
38.9b	1	`x`
38.9b	1	`y`

Compiler

Compiled 80 to 70 computations (12.5% saved)

simplify365.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

774×	`distribute-lft-neg-in`
660×	`*-commutative`
406×	`+-commutative`
380×	`distribute-rgt-neg-in`
308×	`neg-sub0`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	224	5024
1	348	5024
2	391	5024
3	431	5024
4	476	5024
5	531	5024
6	604	5024
7	717	5024
8	828	5024
9	917	5024
10	963	5024
11	997	5024
12	1040	5024
13	1099	5024
14	1170	5024
15	1275	5024
16	1410	5024
17	1563	5024
18	1719	5024
19	1861	5024
20	1980	5024
21	2070	5024
22	2124	5024
23	2159	5024
24	2195	5024
25	2216	5024
26	2222	5024

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(/.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 y) (+.f64 (sqrt.f64 5/4) 3/2)) (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) 1/2))))))
(if (<=.f64 x -1098878309078401/18014398509481984) (/.f64 (+.f64 2 (.f64 (.f64 (sqrt.f64 2) (sin.f64 x)) (.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 (sqrt.f64 5/4) 1/2)) (.f64 (cos.f64 y) (/.f64 1 (+.f64 3/2 (sqrt.f64 5/4)))))))) (if (<=.f64 x 5476377146882523/36028797018963968) (/.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 1 (-.f64 (.f64 -1/2 (.f64 x x)) (cos.f64 y)))))) (.f64 3 (+.f64 1 (+.f64 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) 1/2)) (.f64 (cos.f64 y) (/.f64 1 (+.f64 3/2 (sqrt.f64 5/4)))))))) (/.f64 (+.f64 2 (.f64 (.f64 (sqrt.f64 2) (sin.f64 x)) (.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 1 (+.f64 3/2 (sqrt.f64 5/4))))))))))
(if (<=.f64 x -6456360425798343/1152921504606846976) (/.f64 (+.f64 2 (.f64 (.f64 (sqrt.f64 2) (sin.f64 x)) (.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 (sqrt.f64 5/4) 1/2)) (.f64 (cos.f64 y) (/.f64 1 (+.f64 3/2 (sqrt.f64 5/4)))))))) (if (<=.f64 x 1152921504606847/18014398509481984) (/.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 1 (cos.f64 y))))) (.f64 3 (+.f64 1 (+.f64 (/.f64 (cos.f64 x) (+.f64 (sqrt.f64 5/4) 1/2)) (.f64 (cos.f64 y) (/.f64 1 (+.f64 3/2 (sqrt.f64 5/4)))))))) (/.f64 (+.f64 2 (.f64 (.f64 (sqrt.f64 2) (sin.f64 x)) (.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 1 (+.f64 3/2 (sqrt.f64 5/4))))))))))
(if (<=.f64 x -5312662293228351/147573952589676412928) (/.f64 (+.f64 2 (.f64 (.f64 (sqrt.f64 2) (sin.f64 x)) (.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 (sqrt.f64 5/4) 1/2)) (.f64 (cos.f64 y) (/.f64 1 (+.f64 3/2 (sqrt.f64 5/4)))))))) (if (<=.f64 x 1152921504606847/18014398509481984) (/.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 y) (+.f64 (sqrt.f64 5/4) 3/2)) (/.f64 1 (+.f64 (sqrt.f64 5/4) 1/2)))))) (/.f64 (+.f64 2 (.f64 (.f64 (sqrt.f64 2) (sin.f64 x)) (.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 1 (+.f64 3/2 (sqrt.f64 5/4))))))))))
(if (<=.f64 x -4958484807013127/2361183241434822606848) (/.f64 (+.f64 2 (.f64 (.f64 (sqrt.f64 2) (sin.f64 x)) (.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 (sqrt.f64 5/4) 1/2)) (.f64 (cos.f64 y) (/.f64 1 (+.f64 3/2 (sqrt.f64 5/4)))))))) (if (<=.f64 x 2445779512244245/10633823966279326983230456482242756608) (/.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 3/2 (.f64 (-.f64 3 (sqrt.f64 5)) (cos.f64 y)))))) (/.f64 (+.f64 2 (.f64 (.f64 (sqrt.f64 2) (sin.f64 x)) (.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 1 (+.f64 3/2 (sqrt.f64 5/4))))))))))
(if (<=.f64 x -6788401819125115/590295810358705651712) (/.f64 (+.f64 2 (.f64 (.f64 (sqrt.f64 2) (sin.f64 x)) (.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 (sqrt.f64 5/4) 1/2)) (.f64 (cos.f64 y) (/.f64 1 (+.f64 3/2 (sqrt.f64 5/4)))))))) (if (<=.f64 x 2445779512244245/10633823966279326983230456482242756608) (/.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 3/2 (.f64 (-.f64 3 (sqrt.f64 5)) (cos.f64 y)))))) (/.f64 (+.f64 2 (.f64 (.f64 (sqrt.f64 2) (sin.f64 x)) (.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 (sqrt.f64 5/4) 1/2)) (.f64 (cos.f64 y) (/.f64 1 (+.f64 3/2 (sqrt.f64 5/4))))))))))
(if (<=.f64 x -2195900414534385/1180591620717411303424) (.f64 1/3 (/.f64 (+.f64 2 (.f64 (sqrt.f64 2) (.f64 (.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1)) -1/16))) (+.f64 1 (+.f64 (.f64 (-.f64 3/2 (.f64 1/2 (sqrt.f64 5))) (cos.f64 y)) (/.f64 (cos.f64 x) (+.f64 1/2 (sqrt.f64 5/4))))))) (if (<=.f64 x 2445779512244245/10633823966279326983230456482242756608) (/.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 3/2 (.f64 (-.f64 3 (sqrt.f64 5)) (cos.f64 y)))))) (.f64 1/3 (/.f64 (+.f64 2 (.f64 (sqrt.f64 2) (.f64 (.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1)) -1/16))) (+.f64 1 (+.f64 (.f64 (-.f64 3/2 (.f64 1/2 (sqrt.f64 5))) (cos.f64 y)) (*.f64 (cos.f64 x) (+.f64 -1/2 (sqrt.f64 5/4)))))))))
(if (<=.f64 x -3010508632829399/590295810358705651712) (.f64 1/3 (/.f64 (+.f64 2 (.f64 (sqrt.f64 2) (.f64 (.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1)) -1/16))) (+.f64 1 (+.f64 (.f64 (-.f64 3/2 (.f64 1/2 (sqrt.f64 5))) (cos.f64 y)) (.f64 (cos.f64 x) (+.f64 -1/2 (sqrt.f64 5/4))))))) (if (<=.f64 x 2445779512244245/10633823966279326983230456482242756608) (/.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 3/2 (.f64 (-.f64 3 (sqrt.f64 5)) (cos.f64 y)))))) (.f64 1/3 (/.f64 (+.f64 2 (.f64 (sqrt.f64 2) (.f64 (.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1)) -1/16))) (+.f64 1 (+.f64 (.f64 (-.f64 3/2 (.f64 1/2 (sqrt.f64 5))) (cos.f64 y)) (.f64 (cos.f64 x) (+.f64 -1/2 (sqrt.f64 5/4)))))))))
(if (<=.f64 x -1770887431076117/295147905179352825856) (.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 5/2 (-.f64 (.f64 (fma.f64 1/2 (sqrt.f64 5) -1/2) (cos.f64 x)) (.f64 1/2 (sqrt.f64 5)))))) (if (<=.f64 x 1152921504606847/18014398509481984) (/.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 3/2 (.f64 (-.f64 3 (sqrt.f64 5)) (cos.f64 y)))))) (/.f64 (+.f64 2 (.f64 (.f64 -1/16 (sqrt.f64 2)) (.f64 (+.f64 (cos.f64 x) -1) (pow.f64 (sin.f64 x) 2)))) (+.f64 3 (.f64 3/2 (+.f64 (-.f64 3 (sqrt.f64 5)) (/.f64 (cos.f64 x) (/.f64 1 (+.f64 (sqrt.f64 5) -1)))))))))
(if (<=.f64 x -3172839980678043/147573952589676412928) (/.f64 (+.f64 2 (.f64 (.f64 -1/16 (sqrt.f64 2)) (.f64 (+.f64 (cos.f64 x) -1) (pow.f64 (sin.f64 x) 2)))) (+.f64 3 (.f64 3/2 (+.f64 (-.f64 3 (sqrt.f64 5)) (/.f64 (.f64 (cos.f64 x) 4) (+.f64 (sqrt.f64 5) 1)))))) (if (<=.f64 x 1152921504606847/18014398509481984) (/.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 3/2 (.f64 (-.f64 3 (sqrt.f64 5)) (cos.f64 y)))))) (/.f64 (+.f64 2 (.f64 (.f64 -1/16 (sqrt.f64 2)) (.f64 (+.f64 (cos.f64 x) -1) (pow.f64 (sin.f64 x) 2)))) (+.f64 3 (*.f64 3/2 (+.f64 (-.f64 3 (sqrt.f64 5)) (/.f64 (cos.f64 x) (/.f64 1 (+.f64 (sqrt.f64 5) -1)))))))))
(if (<=.f64 x -6139076427730539/2361183241434822606848) (/.f64 (+.f64 2 (.f64 (.f64 -1/16 (sqrt.f64 2)) (.f64 (+.f64 (cos.f64 x) -1) (pow.f64 (sin.f64 x) 2)))) (+.f64 3 (.f64 3/2 (-.f64 3 (-.f64 (sqrt.f64 5) (.f64 (cos.f64 x) (+.f64 -1 (sqrt.f64 5)))))))) (if (<=.f64 x 1152921504606847/18014398509481984) (/.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 3/2 (.f64 (-.f64 3 (sqrt.f64 5)) (cos.f64 y)))))) (/.f64 (+.f64 2 (.f64 (.f64 -1/16 (sqrt.f64 2)) (.f64 (+.f64 (cos.f64 x) -1) (pow.f64 (sin.f64 x) 2)))) (+.f64 3 (*.f64 3/2 (+.f64 (-.f64 3 (sqrt.f64 5)) (/.f64 (cos.f64 x) (/.f64 1 (+.f64 (sqrt.f64 5) -1)))))))))
(if (<=.f64 x -5312662293228351/73786976294838206464) (/.f64 (+.f64 2 (.f64 (.f64 -1/16 (sqrt.f64 2)) (.f64 (+.f64 (cos.f64 x) -1) (pow.f64 (sin.f64 x) 2)))) (+.f64 3 (.f64 3/2 (-.f64 3 (-.f64 (sqrt.f64 5) (.f64 (cos.f64 x) (+.f64 -1 (sqrt.f64 5)))))))) (if (<=.f64 x 1152921504606847/18014398509481984) (/.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 3/2 (.f64 (-.f64 3 (sqrt.f64 5)) (cos.f64 y)))))) (/.f64 (+.f64 2 (.f64 (.f64 -1/16 (sqrt.f64 2)) (.f64 (+.f64 (cos.f64 x) -1) (pow.f64 (sin.f64 x) 2)))) (+.f64 3 (.f64 3/2 (+.f64 (-.f64 3 (sqrt.f64 5)) (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1))))))))
(if (<=.f64 x -2833419889721787/1180591620717411303424) (/.f64 (+.f64 2 (.f64 (.f64 -1/16 (sqrt.f64 2)) (.f64 (+.f64 (cos.f64 x) -1) (pow.f64 (sin.f64 x) 2)))) (+.f64 3 (.f64 3/2 (-.f64 3 (-.f64 (sqrt.f64 5) (.f64 (cos.f64 x) (+.f64 -1 (sqrt.f64 5)))))))) (if (<=.f64 x 1152921504606847/18014398509481984) (.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 1/2 (+.f64 (.f64 1/2 (sqrt.f64 5)) (.f64 (-.f64 3/2 (.f64 1/2 (sqrt.f64 5))) (cos.f64 y)))))) (/.f64 (+.f64 2 (.f64 (.f64 -1/16 (sqrt.f64 2)) (.f64 (+.f64 (cos.f64 x) -1) (pow.f64 (sin.f64 x) 2)))) (+.f64 3 (.f64 3/2 (+.f64 (-.f64 3 (sqrt.f64 5)) (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1))))))))
(if (<=.f64 x -1558380939346983/9444732965739290427392) (/.f64 (+.f64 2 (.f64 (.f64 -1/16 (sqrt.f64 2)) (.f64 (+.f64 (cos.f64 x) -1) (pow.f64 (sin.f64 x) 2)))) (+.f64 3 (.f64 3/2 (-.f64 3 (-.f64 (sqrt.f64 5) (.f64 (cos.f64 x) (+.f64 -1 (sqrt.f64 5)))))))) (if (<=.f64 x 1152921504606847/18014398509481984) (/.f64 2/3 (fma.f64 (fma.f64 -1/2 (sqrt.f64 5) 3/2) (cos.f64 y) (fma.f64 1/2 (sqrt.f64 5) 1/2))) (/.f64 (+.f64 2 (.f64 (.f64 -1/16 (sqrt.f64 2)) (.f64 (+.f64 (cos.f64 x) -1) (pow.f64 (sin.f64 x) 2)))) (+.f64 3 (.f64 3/2 (+.f64 (-.f64 3 (sqrt.f64 5)) (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1))))))))
(if (<=.f64 x -8500259669165361/37778931862957161709568) (/.f64 (+.f64 2 (.f64 (.f64 -1/16 (sqrt.f64 2)) (.f64 (+.f64 (cos.f64 x) -1) (pow.f64 (sin.f64 x) 2)))) (+.f64 3 (.f64 3/2 (+.f64 (-.f64 3 (sqrt.f64 5)) (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)))))) (if (<=.f64 x 1152921504606847/18014398509481984) (/.f64 2/3 (fma.f64 (fma.f64 -1/2 (sqrt.f64 5) 3/2) (cos.f64 y) (fma.f64 1/2 (sqrt.f64 5) 1/2))) (/.f64 (+.f64 2 (.f64 (.f64 -1/16 (sqrt.f64 2)) (.f64 (+.f64 (cos.f64 x) -1) (pow.f64 (sin.f64 x) 2)))) (+.f64 3 (.f64 3/2 (+.f64 (-.f64 3 (sqrt.f64 5)) (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1))))))))
(/.f64 2/3 (fma.f64 (fma.f64 -1/2 (sqrt.f64 5) 3/2) (cos.f64 y) (fma.f64 1/2 (sqrt.f64 5) 1/2)))
(/.f64 2/3 (+.f64 1/2 (+.f64 (.f64 1/2 (sqrt.f64 5)) (.f64 (-.f64 3/2 (*.f64 1/2 (sqrt.f64 5))) (cos.f64 y)))))
1/3

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

Compiler

Compiled 1668 to 1345 computations (19.4% saved)

soundness63.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1766×	`associate-+r+`
1180×	`associate-+l+`
836×	`distribute-lft-neg-out`
786×	`distribute-rgt-neg-out`
776×	`associate-*r/`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	35	159
1	82	147
2	206	147
3	671	145
4	2551	141

Stop Event

1×	node limit

Compiler

Compiled 102 to 73 computations (28.4% saved)

end683.0ms (2.2%)

Compiler: Compiled 1634 to 1250 computations (23.5% saved)