Details

analyze1.2s (8.5%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
50%	50%	0.1%	4
74.9%	25%	0.1%	5
74.9%	25%	0.1%	6
74.9%	25%	0.1%	7
74.9%	25%	0.1%	8
74.9%	25%	0.1%	9
74.9%	25%	0.1%	10
74.9%	25%	0.1%	11
74.9%	25%	0.1%	12
74.9%	25%	0.1%	13
74.9%	25%	0.1%	14

Compiler

Compiled 53 to 41 computations (22.6% saved)

sample8.3s (60.4%)

Results

5.7s	3645×	body	1024	valid
1.3s	1420×	body	512	valid
806.0ms	2515×	body	128	valid
416.0ms	657×	body	256	valid
57.0ms	19×	body	2048	valid

Compiler

Compiled 106 to 82 computations (22.6% saved)

preprocess30.0ms (0.2%)

Algorithm

2×	egg-herbie

Rules

736×	`distribute-rgt-in_binary64`
734×	`distribute-lft-in_binary64`
515×	`fma-def_binary64`
127×	`distribute-lft-neg-out_binary64`
127×	`distribute-rgt-neg-out_binary64`

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

Inputs

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

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

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

Compiler

Compiled 52 to 40 computations (23.1% saved)

simplify24.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

444×	`distribute-rgt-neg-out_binary64`
418×	`distribute-rgt-in_binary64`
417×	`distribute-lft-in_binary64`
350×	`unsub-neg_binary64`
270×	`associate-l_binary64`

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

Inputs

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

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

prune7.0ms (0.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

0.3b

Counts

3 → 2

Alt Table

Status	Error	Program
	0.5b	(/.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)))))
▶	0.4b	(/.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 (sqrt.f64 5) -1)) 2/3) (fma.f64 (cos.f64 y) (-.f64 9/2 (/.f64 (sqrt.f64 5) 2/3)) 3)))

Status

Error

Program

0.5b

(/.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)))))

▶

0.4b

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

Compiler

Compiled 298 to 221 computations (25.8% saved)

localize29.0ms (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 (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 9/2 (/.f64 (sqrt.f64 5) 2/3)) 3)))
✓	0.7b	(/.f64 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) 2/3)
✓	1.0b	(-.f64 9/2 (/.f64 (sqrt.f64 5) 2/3))
✓	2.6b	(-.f64 (cos.f64 x) (cos.f64 y))

series312.0ms (2.3%)

Counts

4 → 44

Calls

15 calls:

Time	Variable		Point	Expression
67.0ms	y	@	-inf	(/.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 9/2 (/.f64 (sqrt.f64 5) 2/3)) 3)))
61.0ms	y	@	inf	(/.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 9/2 (/.f64 (sqrt.f64 5) 2/3)) 3)))
59.0ms	x	@	inf	(/.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 9/2 (/.f64 (sqrt.f64 5) 2/3)) 3)))
57.0ms	x	@	-inf	(/.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 9/2 (/.f64 (sqrt.f64 5) 2/3)) 3)))
29.0ms	y	@	0	(/.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 9/2 (/.f64 (sqrt.f64 5) 2/3)) 3)))

rewrite45.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

368×	`pow1_binary64`
362×	`add-cbrt-cube_binary64`
362×	`add-exp-log_binary64`
362×	`add-log-exp_binary64`
362×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	104
1	749	104

Stop Event

1×	node limit

Counts

4 → 45

Calls

Call 1

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

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

simplify124.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

375×	`fma-def_binary64`
352×	`associate-r_binary64`
309×	`associate-+r+_binary64`
254×	`+-commutative_binary64`
223×	`associate-l_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	342	6899
1	1184	6711
2	4894	6711

Stop Event

1×	node limit

Counts

89 → 88

Calls

Call 1

Inputs
(-.f64 1 (cos.f64 y))
(-.f64 1 (+.f64 (cos.f64 y) (*.f64 1/2 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 1/24 (pow.f64 x 4)) 1) (+.f64 (cos.f64 y) (.f64 1/2 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 1/24 (pow.f64 x 4)) 1) (+.f64 (.f64 1/720 (pow.f64 x 6)) (+.f64 (cos.f64 y) (*.f64 1/2 (pow.f64 x 2)))))
(-.f64 (cos.f64 x) 1)
(-.f64 (+.f64 (*.f64 1/2 (pow.f64 y 2)) (cos.f64 x)) 1)
(-.f64 (+.f64 (.f64 1/2 (pow.f64 y 2)) (cos.f64 x)) (+.f64 1 (.f64 1/24 (pow.f64 y 4))))
(-.f64 (+.f64 (.f64 1/2 (pow.f64 y 2)) (+.f64 (cos.f64 x) (.f64 1/720 (pow.f64 y 6)))) (+.f64 1 (*.f64 1/24 (pow.f64 y 4))))
(*.f64 3/2 (-.f64 (sqrt.f64 5) 1))
(-.f64 (+.f64 (.f64 3/4 (pow.f64 x 2)) (.f64 3/2 (sqrt.f64 5))) (+.f64 3/2 (.f64 3/4 (.f64 (pow.f64 x 2) (sqrt.f64 5)))))
(-.f64 (+.f64 (.f64 3/4 (pow.f64 x 2)) (+.f64 (.f64 1/16 (.f64 (pow.f64 x 4) (sqrt.f64 5))) (.f64 3/2 (sqrt.f64 5)))) (+.f64 (.f64 1/16 (pow.f64 x 4)) (+.f64 3/2 (.f64 3/4 (*.f64 (pow.f64 x 2) (sqrt.f64 5))))))
(-.f64 (+.f64 (.f64 1/480 (pow.f64 x 6)) (+.f64 (.f64 3/4 (pow.f64 x 2)) (+.f64 (.f64 1/16 (.f64 (pow.f64 x 4) (sqrt.f64 5))) (.f64 3/2 (sqrt.f64 5))))) (+.f64 (.f64 1/16 (pow.f64 x 4)) (+.f64 (.f64 1/480 (.f64 (pow.f64 x 6) (sqrt.f64 5))) (+.f64 3/2 (.f64 3/4 (.f64 (pow.f64 x 2) (sqrt.f64 5)))))))
(.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)))
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(/.f64 (-.f64 (+.f64 (.f64 1/16 (.f64 (pow.f64 (sin.f64 y) 2) (.f64 (cos.f64 y) (sqrt.f64 2)))) (+.f64 2 (+.f64 (.f64 1/16 (.f64 (cos.f64 y) (.f64 (sqrt.f64 2) (pow.f64 (sin.f64 x) 2)))) (.f64 257/256 (.f64 (sin.f64 y) (.f64 (sqrt.f64 2) (.f64 (sin.f64 x) (cos.f64 x)))))))) (+.f64 (.f64 1/16 (.f64 (pow.f64 (sin.f64 y) 2) (.f64 (sqrt.f64 2) (cos.f64 x)))) (+.f64 (.f64 257/256 (.f64 (sin.f64 y) (.f64 (cos.f64 y) (.f64 (sqrt.f64 2) (sin.f64 x))))) (.f64 1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 x))))))) (-.f64 (+.f64 3 (+.f64 (.f64 9/2 (cos.f64 y)) (.f64 3/2 (.f64 (cos.f64 x) (sqrt.f64 5))))) (+.f64 (.f64 3/2 (.f64 (cos.f64 y) (sqrt.f64 5))) (.f64 3/2 (cos.f64 x)))))
(/.f64 (-.f64 (+.f64 (.f64 1/16 (.f64 (pow.f64 (sin.f64 y) 2) (.f64 (cos.f64 y) (sqrt.f64 2)))) (+.f64 2 (+.f64 (.f64 1/16 (.f64 (cos.f64 y) (.f64 (sqrt.f64 2) (pow.f64 (sin.f64 x) 2)))) (.f64 257/256 (.f64 (sin.f64 y) (.f64 (sqrt.f64 2) (.f64 (sin.f64 x) (cos.f64 x)))))))) (+.f64 (.f64 1/16 (.f64 (pow.f64 (sin.f64 y) 2) (.f64 (sqrt.f64 2) (cos.f64 x)))) (+.f64 (.f64 257/256 (.f64 (sin.f64 y) (.f64 (cos.f64 y) (.f64 (sqrt.f64 2) (sin.f64 x))))) (.f64 1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 x))))))) (-.f64 (+.f64 3 (+.f64 (.f64 9/2 (cos.f64 y)) (.f64 3/2 (.f64 (cos.f64 x) (sqrt.f64 5))))) (+.f64 (.f64 3/2 (.f64 (cos.f64 y) (sqrt.f64 5))) (.f64 3/2 (cos.f64 x)))))
(/.f64 (-.f64 (+.f64 (.f64 1/16 (.f64 (pow.f64 (sin.f64 y) 2) (.f64 (cos.f64 y) (sqrt.f64 2)))) (+.f64 2 (+.f64 (.f64 1/16 (.f64 (cos.f64 y) (.f64 (sqrt.f64 2) (pow.f64 (sin.f64 x) 2)))) (.f64 257/256 (.f64 (sin.f64 y) (.f64 (sqrt.f64 2) (.f64 (sin.f64 x) (cos.f64 x)))))))) (+.f64 (.f64 1/16 (.f64 (pow.f64 (sin.f64 y) 2) (.f64 (sqrt.f64 2) (cos.f64 x)))) (+.f64 (.f64 257/256 (.f64 (sin.f64 y) (.f64 (cos.f64 y) (.f64 (sqrt.f64 2) (sin.f64 x))))) (.f64 1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 x))))))) (-.f64 (+.f64 3 (+.f64 (.f64 9/2 (cos.f64 y)) (.f64 3/2 (.f64 (cos.f64 x) (sqrt.f64 5))))) (+.f64 (.f64 3/2 (.f64 (cos.f64 y) (sqrt.f64 5))) (.f64 3/2 (cos.f64 x)))))
(/.f64 (-.f64 (+.f64 (.f64 1/16 (.f64 (pow.f64 (sin.f64 y) 2) (.f64 (cos.f64 y) (sqrt.f64 2)))) (+.f64 2 (+.f64 (.f64 1/16 (.f64 (cos.f64 y) (.f64 (sqrt.f64 2) (pow.f64 (sin.f64 x) 2)))) (.f64 257/256 (.f64 (sin.f64 y) (.f64 (sqrt.f64 2) (.f64 (sin.f64 x) (cos.f64 x)))))))) (+.f64 (.f64 1/16 (.f64 (pow.f64 (sin.f64 y) 2) (.f64 (sqrt.f64 2) (cos.f64 x)))) (+.f64 (.f64 257/256 (.f64 (sin.f64 y) (.f64 (cos.f64 y) (.f64 (sqrt.f64 2) (sin.f64 x))))) (.f64 1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 x))))))) (-.f64 (+.f64 3 (+.f64 (.f64 9/2 (cos.f64 y)) (.f64 3/2 (.f64 (cos.f64 x) (sqrt.f64 5))))) (+.f64 (.f64 3/2 (.f64 (cos.f64 y) (sqrt.f64 5))) (.f64 3/2 (cos.f64 x)))))
(/.f64 (-.f64 (+.f64 (.f64 1/16 (.f64 (pow.f64 (sin.f64 y) 2) (.f64 (cos.f64 y) (sqrt.f64 2)))) (+.f64 2 (+.f64 (.f64 1/16 (.f64 (cos.f64 y) (.f64 (sqrt.f64 2) (pow.f64 (sin.f64 x) 2)))) (.f64 257/256 (.f64 (sin.f64 y) (.f64 (sqrt.f64 2) (.f64 (sin.f64 x) (cos.f64 x)))))))) (+.f64 (.f64 1/16 (.f64 (pow.f64 (sin.f64 y) 2) (.f64 (sqrt.f64 2) (cos.f64 x)))) (+.f64 (.f64 257/256 (.f64 (sin.f64 y) (.f64 (cos.f64 y) (.f64 (sqrt.f64 2) (sin.f64 x))))) (.f64 1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 x))))))) (-.f64 (+.f64 3 (+.f64 (.f64 9/2 (cos.f64 y)) (.f64 3/2 (.f64 (cos.f64 x) (sqrt.f64 5))))) (+.f64 (.f64 3/2 (.f64 (cos.f64 y) (sqrt.f64 5))) (.f64 3/2 (cos.f64 x)))))
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(/.f64 (-.f64 (+.f64 (.f64 1/16 (.f64 (pow.f64 (sin.f64 y) 2) (.f64 (cos.f64 y) (sqrt.f64 2)))) (+.f64 2 (+.f64 (.f64 1/16 (.f64 (cos.f64 y) (.f64 (sqrt.f64 2) (pow.f64 (sin.f64 x) 2)))) (.f64 257/256 (.f64 (sin.f64 y) (.f64 (sqrt.f64 2) (.f64 (sin.f64 x) (cos.f64 x)))))))) (+.f64 (.f64 1/16 (.f64 (pow.f64 (sin.f64 y) 2) (.f64 (sqrt.f64 2) (cos.f64 x)))) (+.f64 (.f64 257/256 (.f64 (sin.f64 y) (.f64 (cos.f64 y) (.f64 (sqrt.f64 2) (sin.f64 x))))) (.f64 1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 x))))))) (-.f64 (+.f64 3 (+.f64 (.f64 9/2 (cos.f64 y)) (.f64 3/2 (.f64 (cos.f64 x) (sqrt.f64 5))))) (+.f64 (.f64 3/2 (.f64 (cos.f64 y) (sqrt.f64 5))) (.f64 3/2 (cos.f64 x)))))
(/.f64 (-.f64 (+.f64 (.f64 1/16 (.f64 (pow.f64 (sin.f64 y) 2) (.f64 (cos.f64 y) (sqrt.f64 2)))) (+.f64 2 (+.f64 (.f64 1/16 (.f64 (cos.f64 y) (.f64 (sqrt.f64 2) (pow.f64 (sin.f64 x) 2)))) (.f64 257/256 (.f64 (sin.f64 y) (.f64 (sqrt.f64 2) (.f64 (sin.f64 x) (cos.f64 x)))))))) (+.f64 (.f64 1/16 (.f64 (pow.f64 (sin.f64 y) 2) (.f64 (sqrt.f64 2) (cos.f64 x)))) (+.f64 (.f64 257/256 (.f64 (sin.f64 y) (.f64 (cos.f64 y) (.f64 (sqrt.f64 2) (sin.f64 x))))) (.f64 1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 x))))))) (-.f64 (+.f64 3 (+.f64 (.f64 9/2 (cos.f64 y)) (.f64 3/2 (.f64 (cos.f64 x) (sqrt.f64 5))))) (+.f64 (.f64 3/2 (.f64 (cos.f64 y) (sqrt.f64 5))) (.f64 3/2 (cos.f64 x)))))

Outputs
(-.f64 1 (cos.f64 y))
(-.f64 1 (+.f64 (cos.f64 y) (*.f64 1/2 (pow.f64 x 2))))
(-.f64 (-.f64 1 (cos.f64 y)) (.f64 1/2 (.f64 x x)))
(-.f64 1 (fma.f64 1/2 (*.f64 x x) (cos.f64 y)))
(-.f64 (+.f64 (.f64 1/24 (pow.f64 x 4)) 1) (+.f64 (cos.f64 y) (.f64 1/2 (pow.f64 x 2))))
(-.f64 (-.f64 (fma.f64 1/24 (pow.f64 x 4) 1) (cos.f64 y)) (.f64 1/2 (.f64 x x)))
(-.f64 (fma.f64 1/24 (pow.f64 x 4) 1) (fma.f64 1/2 (*.f64 x x) (cos.f64 y)))
(-.f64 (+.f64 (.f64 1/24 (pow.f64 x 4)) 1) (+.f64 (.f64 1/720 (pow.f64 x 6)) (+.f64 (cos.f64 y) (*.f64 1/2 (pow.f64 x 2)))))
(-.f64 (fma.f64 1/24 (pow.f64 x 4) 1) (fma.f64 1/720 (pow.f64 x 6) (+.f64 (cos.f64 y) (.f64 1/2 (.f64 x x)))))
(-.f64 (fma.f64 1/24 (pow.f64 x 4) 1) (fma.f64 1/720 (pow.f64 x 6) (fma.f64 1/2 (*.f64 x x) (cos.f64 y))))
(-.f64 (cos.f64 x) 1)
(+.f64 (cos.f64 x) -1)
(-.f64 (+.f64 (*.f64 1/2 (pow.f64 y 2)) (cos.f64 x)) 1)
(+.f64 (fma.f64 1/2 (*.f64 y y) (cos.f64 x)) -1)
(+.f64 (cos.f64 x) (fma.f64 (*.f64 1/2 y) y -1))
(-.f64 (+.f64 (.f64 1/2 (pow.f64 y 2)) (cos.f64 x)) (+.f64 1 (.f64 1/24 (pow.f64 y 4))))
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prune289.0ms (2.1%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	76	12	88
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	78	12	90

Error

0.1b

Counts

90 → 12

Alt Table

Status	Error	Program
	0.5b	(.f64 (fma.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 y) (.f64 (sin.f64 x) 1/16)) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16)))) 2) (/.f64 1 (+.f64 (.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) 3/2) (fma.f64 (cos.f64 y) (-.f64 9/2 (.f64 (sqrt.f64 5) 3/2)) 3))))
	0.6b	(/.f64 (+.f64 (fma.f64 1/16 (.f64 (pow.f64 (sin.f64 y) 2) (.f64 (cos.f64 y) (sqrt.f64 2))) 2) (-.f64 (fma.f64 1/16 (.f64 (cos.f64 y) (.f64 (sqrt.f64 2) (pow.f64 (sin.f64 x) 2))) (.f64 (.f64 (cos.f64 x) (.f64 (sqrt.f64 2) (sin.f64 x))) (.f64 257/256 (sin.f64 y)))) (fma.f64 1/16 (.f64 (cos.f64 x) (.f64 (sqrt.f64 2) (pow.f64 (sin.f64 y) 2))) (fma.f64 1/16 (.f64 (pow.f64 (sin.f64 x) 2) (.f64 (cos.f64 x) (sqrt.f64 2))) (.f64 257/256 (.f64 (.f64 (sqrt.f64 2) (sin.f64 x)) (.f64 (cos.f64 y) (sin.f64 y)))))))) (+.f64 (fma.f64 (cos.f64 y) 9/2 (.f64 (cos.f64 x) (.f64 3/2 (sqrt.f64 5)))) (-.f64 3 (*.f64 3/2 (fma.f64 (cos.f64 y) (sqrt.f64 5) (cos.f64 x))))))
	10.8b	(/.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 (expm1.f64 (log1p.f64 (.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) 3/2))) (fma.f64 (cos.f64 y) (-.f64 9/2 (/.f64 (sqrt.f64 5) 2/3)) 3)))
	0.7b	(/.f64 (-.f64 (+.f64 (.f64 1/16 (.f64 (pow.f64 (sin.f64 y) 2) (.f64 (cos.f64 y) (sqrt.f64 2)))) (+.f64 2 (+.f64 (.f64 1/16 (.f64 (cos.f64 y) (.f64 (sqrt.f64 2) (pow.f64 (sin.f64 x) 2)))) (.f64 257/256 (.f64 (sin.f64 y) (.f64 (sqrt.f64 2) (.f64 (sin.f64 x) (cos.f64 x)))))))) (+.f64 (.f64 1/16 (.f64 (pow.f64 (sin.f64 y) 2) (.f64 (sqrt.f64 2) (cos.f64 x)))) (+.f64 (.f64 257/256 (.f64 (sin.f64 y) (.f64 (cos.f64 y) (.f64 (sqrt.f64 2) (sin.f64 x))))) (.f64 1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 x))))))) (-.f64 (+.f64 3 (+.f64 (.f64 9/2 (cos.f64 y)) (.f64 3/2 (.f64 (cos.f64 x) (sqrt.f64 5))))) (+.f64 (.f64 3/2 (.f64 (cos.f64 y) (sqrt.f64 5))) (.f64 3/2 (cos.f64 x)))))
	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 (cbrt.f64 (.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) 3/2)) (cbrt.f64 (.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) 3/2))) (cbrt.f64 (.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) 3/2))) (fma.f64 (cos.f64 y) (-.f64 9/2 (/.f64 (sqrt.f64 5) 2/3)) 3)))
▶	0.4b	(/.f64 (fma.f64 (sqrt.f64 2) (.f64 (-.f64 (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 3/2 (sqrt.f64 5)) -3/2)) (fma.f64 (cos.f64 y) (-.f64 9/2 (/.f64 (sqrt.f64 5) 2/3)) 3)))
	0.6b	(cbrt.f64 (.f64 (.f64 (/.f64 (fma.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 y) (.f64 (sin.f64 x) 1/16)) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16)))) 2) (+.f64 (.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) 3/2) (fma.f64 (cos.f64 y) (-.f64 9/2 (.f64 (sqrt.f64 5) 3/2)) 3))) (/.f64 (fma.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 y) (.f64 (sin.f64 x) 1/16)) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16)))) 2) (+.f64 (.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) 3/2) (fma.f64 (cos.f64 y) (-.f64 9/2 (.f64 (sqrt.f64 5) 3/2)) 3)))) (/.f64 (fma.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 y) (.f64 (sin.f64 x) 1/16)) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16)))) 2) (+.f64 (.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) 3/2) (fma.f64 (cos.f64 y) (-.f64 9/2 (*.f64 (sqrt.f64 5) 3/2)) 3)))))
	0.6b	(log.f64 (exp.f64 (/.f64 (fma.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 y) (.f64 (sin.f64 x) 1/16)) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16)))) 2) (+.f64 (.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) 3/2) (fma.f64 (cos.f64 y) (-.f64 9/2 (*.f64 (sqrt.f64 5) 3/2)) 3)))))
	0.6b	(.f64 (sqrt.f64 (/.f64 (fma.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 y) (.f64 (sin.f64 x) 1/16)) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16)))) 2) (+.f64 (.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) 3/2) (fma.f64 (cos.f64 y) (-.f64 9/2 (.f64 (sqrt.f64 5) 3/2)) 3)))) (sqrt.f64 (/.f64 (fma.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 y) (.f64 (sin.f64 x) 1/16)) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16)))) 2) (+.f64 (.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) 3/2) (fma.f64 (cos.f64 y) (-.f64 9/2 (*.f64 (sqrt.f64 5) 3/2)) 3)))))
	1.3b	(.f64 (.f64 (cbrt.f64 (/.f64 (fma.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 y) (.f64 (sin.f64 x) 1/16)) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16)))) 2) (+.f64 (.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) 3/2) (fma.f64 (cos.f64 y) (-.f64 9/2 (.f64 (sqrt.f64 5) 3/2)) 3)))) (cbrt.f64 (/.f64 (fma.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 y) (.f64 (sin.f64 x) 1/16)) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16)))) 2) (+.f64 (.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) 3/2) (fma.f64 (cos.f64 y) (-.f64 9/2 (.f64 (sqrt.f64 5) 3/2)) 3))))) (cbrt.f64 (/.f64 (fma.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 y) (.f64 (sin.f64 x) 1/16)) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16)))) 2) (+.f64 (.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) 3/2) (fma.f64 (cos.f64 y) (-.f64 9/2 (*.f64 (sqrt.f64 5) 3/2)) 3)))))
	0.5b	(expm1.f64 (log1p.f64 (/.f64 (fma.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 y) (.f64 (sin.f64 x) 1/16)) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16)))) 2) (+.f64 (.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) 3/2) (fma.f64 (cos.f64 y) (-.f64 9/2 (*.f64 (sqrt.f64 5) 3/2)) 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 (.f64 (cbrt.f64 (-.f64 (cos.f64 x) (cos.f64 y))) (cbrt.f64 (-.f64 (cos.f64 x) (cos.f64 y)))) (cbrt.f64 (-.f64 (cos.f64 x) (cos.f64 y)))))) 2) (+.f64 (/.f64 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) 2/3) (fma.f64 (cos.f64 y) (-.f64 9/2 (/.f64 (sqrt.f64 5) 2/3)) 3)))

Compiler

Compiled 11176 to 8009 computations (28.3% saved)

localize28.0ms (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 (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 3/2 (sqrt.f64 5)) -3/2)) (fma.f64 (cos.f64 y) (-.f64 9/2 (/.f64 (sqrt.f64 5) 2/3)) 3)))
✓	1.0b	(+.f64 (*.f64 3/2 (sqrt.f64 5)) -3/2)
	1.0b	(-.f64 9/2 (/.f64 (sqrt.f64 5) 2/3))
	2.6b	(-.f64 (cos.f64 x) (cos.f64 y))

series312.0ms (2.3%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
73.0ms	y	@	inf	(/.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 3/2 (sqrt.f64 5)) -3/2)) (fma.f64 (cos.f64 y) (-.f64 9/2 (/.f64 (sqrt.f64 5) 2/3)) 3)))
62.0ms	y	@	-inf	(/.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 3/2 (sqrt.f64 5)) -3/2)) (fma.f64 (cos.f64 y) (-.f64 9/2 (/.f64 (sqrt.f64 5) 2/3)) 3)))
60.0ms	x	@	inf	(/.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 3/2 (sqrt.f64 5)) -3/2)) (fma.f64 (cos.f64 y) (-.f64 9/2 (/.f64 (sqrt.f64 5) 2/3)) 3)))
59.0ms	x	@	-inf	(/.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 3/2 (sqrt.f64 5)) -3/2)) (fma.f64 (cos.f64 y) (-.f64 9/2 (/.f64 (sqrt.f64 5) 2/3)) 3)))
29.0ms	x	@	0	(/.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 3/2 (sqrt.f64 5)) -3/2)) (fma.f64 (cos.f64 y) (-.f64 9/2 (/.f64 (sqrt.f64 5) 2/3)) 3)))

rewrite38.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

365×	`pow1_binary64`
362×	`add-exp-log_binary64`
362×	`add-log-exp_binary64`
362×	`log1p-expm1-u_binary64`
362×	`expm1-log1p-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	76
1	778	76

Stop Event

1×	node limit

Counts

2 → 22

Calls

Call 1

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

Inputs

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

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

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

Outputs

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

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

simplify109.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

327×	`associate-r_binary64`
309×	`fma-def_binary64`
289×	`associate-+r+_binary64`
209×	`div-sub_binary64`
207×	`+-commutative_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	287	6487
1	1014	6327
2	4255	6327

Stop Event

1×	node limit

Counts

46 → 40

Calls

Call 1

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

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

prune281.0ms (2%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	74	6	80
Fresh	6	5	11
Picked	1	0	1
Done	0	0	0
Total	81	11	92

Error

0.0b

Counts

92 → 11

Alt Table

Status	Error	Program
	0.6b	(cbrt.f64 (.f64 (.f64 (/.f64 (fma.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 y) (.f64 (sin.f64 x) 1/16)) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16)))) 2) (+.f64 (.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) 3/2) (fma.f64 (cos.f64 y) (-.f64 9/2 (.f64 (sqrt.f64 5) 3/2)) 3))) (/.f64 (fma.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 y) (.f64 (sin.f64 x) 1/16)) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16)))) 2) (+.f64 (.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) 3/2) (fma.f64 (cos.f64 y) (-.f64 9/2 (.f64 (sqrt.f64 5) 3/2)) 3)))) (/.f64 (fma.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 y) (.f64 (sin.f64 x) 1/16)) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16)))) 2) (+.f64 (.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) 3/2) (fma.f64 (cos.f64 y) (-.f64 9/2 (*.f64 (sqrt.f64 5) 3/2)) 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 (cos.f64 x) (.f64 (*.f64 (cbrt.f64 (fma.f64 3/2 (sqrt.f64 5) -3/2)) (cbrt.f64 (fma.f64 3/2 (sqrt.f64 5) -3/2))) (cbrt.f64 (fma.f64 3/2 (sqrt.f64 5) -3/2)))) (fma.f64 (cos.f64 y) (-.f64 9/2 (/.f64 (sqrt.f64 5) 2/3)) 3)))
	0.6b	(log.f64 (exp.f64 (/.f64 (fma.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 y) (.f64 (sin.f64 x) 1/16)) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16)))) 2) (+.f64 (.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) 3/2) (fma.f64 (cos.f64 y) (-.f64 9/2 (*.f64 (sqrt.f64 5) 3/2)) 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 (.f64 (cbrt.f64 (-.f64 (cos.f64 x) (cos.f64 y))) (cbrt.f64 (-.f64 (cos.f64 x) (cos.f64 y)))) (cbrt.f64 (-.f64 (cos.f64 x) (cos.f64 y)))))) 2) (+.f64 (.f64 (cos.f64 x) (+.f64 (.f64 3/2 (sqrt.f64 5)) -3/2)) (fma.f64 (cos.f64 y) (-.f64 9/2 (/.f64 (sqrt.f64 5) 2/3)) 3)))
	0.6b	(/.f64 (+.f64 (fma.f64 1/16 (.f64 (pow.f64 (sin.f64 y) 2) (.f64 (cos.f64 y) (sqrt.f64 2))) 2) (-.f64 (fma.f64 1/16 (.f64 (cos.f64 y) (.f64 (sqrt.f64 2) (pow.f64 (sin.f64 x) 2))) (.f64 (.f64 (cos.f64 x) (.f64 (sqrt.f64 2) (sin.f64 x))) (.f64 257/256 (sin.f64 y)))) (fma.f64 1/16 (.f64 (cos.f64 x) (.f64 (sqrt.f64 2) (pow.f64 (sin.f64 y) 2))) (fma.f64 1/16 (.f64 (pow.f64 (sin.f64 x) 2) (.f64 (cos.f64 x) (sqrt.f64 2))) (.f64 257/256 (.f64 (.f64 (sqrt.f64 2) (sin.f64 x)) (.f64 (cos.f64 y) (sin.f64 y)))))))) (+.f64 (fma.f64 (cos.f64 y) 9/2 (.f64 (cos.f64 x) (.f64 3/2 (sqrt.f64 5)))) (-.f64 3 (*.f64 3/2 (fma.f64 (cos.f64 y) (sqrt.f64 5) (cos.f64 x))))))
	31.0b	(+.f64 (fma.f64 1/16 (/.f64 (.f64 (sqrt.f64 2) (pow.f64 (sin.f64 x) 2)) (+.f64 15/2 (.f64 3/2 (fma.f64 (cos.f64 x) (sqrt.f64 5) (neg.f64 (+.f64 (cos.f64 x) (sqrt.f64 5))))))) (/.f64 (.f64 y 257/256) (/.f64 (+.f64 15/2 (.f64 3/2 (fma.f64 (cos.f64 x) (sqrt.f64 5) (neg.f64 (+.f64 (cos.f64 x) (sqrt.f64 5)))))) (.f64 (cos.f64 x) (.f64 (sqrt.f64 2) (sin.f64 x)))))) (-.f64 (/.f64 2 (+.f64 15/2 (.f64 3/2 (fma.f64 (cos.f64 x) (sqrt.f64 5) (neg.f64 (+.f64 (cos.f64 x) (sqrt.f64 5))))))) (fma.f64 1/16 (/.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 x))) (+.f64 15/2 (.f64 3/2 (fma.f64 (cos.f64 x) (sqrt.f64 5) (neg.f64 (+.f64 (cos.f64 x) (sqrt.f64 5))))))) (/.f64 257/256 (/.f64 (+.f64 15/2 (.f64 3/2 (fma.f64 (cos.f64 x) (sqrt.f64 5) (neg.f64 (+.f64 (cos.f64 x) (sqrt.f64 5)))))) (.f64 (sqrt.f64 2) (*.f64 (sin.f64 x) y)))))))
	0.6b	(.f64 (sqrt.f64 (/.f64 (fma.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 y) (.f64 (sin.f64 x) 1/16)) (.f64 (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16)) (-.f64 (cos.f64 x) (cos.f64 y)))) 2) (fma.f64 (cos.f64 x) (fma.f64 3/2 (sqrt.f64 5) -3/2) (fma.f64 (cos.f64 y) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5))) 3)))) (sqrt.f64 (/.f64 (fma.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 y) (.f64 (sin.f64 x) 1/16)) (.f64 (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16)) (-.f64 (cos.f64 x) (cos.f64 y)))) 2) (fma.f64 (cos.f64 x) (fma.f64 3/2 (sqrt.f64 5) -3/2) (fma.f64 (cos.f64 y) (-.f64 9/2 (*.f64 3/2 (sqrt.f64 5))) 3)))))
	1.3b	(.f64 (.f64 (cbrt.f64 (/.f64 (fma.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 y) (.f64 (sin.f64 x) 1/16)) (.f64 (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16)) (-.f64 (cos.f64 x) (cos.f64 y)))) 2) (fma.f64 (cos.f64 x) (fma.f64 3/2 (sqrt.f64 5) -3/2) (fma.f64 (cos.f64 y) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5))) 3)))) (cbrt.f64 (/.f64 (fma.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 y) (.f64 (sin.f64 x) 1/16)) (.f64 (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16)) (-.f64 (cos.f64 x) (cos.f64 y)))) 2) (fma.f64 (cos.f64 x) (fma.f64 3/2 (sqrt.f64 5) -3/2) (fma.f64 (cos.f64 y) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5))) 3))))) (cbrt.f64 (/.f64 (fma.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 y) (.f64 (sin.f64 x) 1/16)) (.f64 (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16)) (-.f64 (cos.f64 x) (cos.f64 y)))) 2) (fma.f64 (cos.f64 x) (fma.f64 3/2 (sqrt.f64 5) -3/2) (fma.f64 (cos.f64 y) (-.f64 9/2 (*.f64 3/2 (sqrt.f64 5))) 3)))))
	0.7b	(/.f64 (-.f64 (+.f64 (.f64 1/16 (.f64 (pow.f64 (sin.f64 y) 2) (.f64 (cos.f64 y) (sqrt.f64 2)))) (+.f64 2 (+.f64 (.f64 1/16 (.f64 (cos.f64 y) (.f64 (sqrt.f64 2) (pow.f64 (sin.f64 x) 2)))) (.f64 257/256 (.f64 (sin.f64 y) (.f64 (sqrt.f64 2) (.f64 (sin.f64 x) (cos.f64 x)))))))) (+.f64 (.f64 1/16 (.f64 (pow.f64 (sin.f64 y) 2) (.f64 (sqrt.f64 2) (cos.f64 x)))) (+.f64 (.f64 257/256 (.f64 (sin.f64 y) (.f64 (cos.f64 y) (.f64 (sqrt.f64 2) (sin.f64 x))))) (.f64 1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 x))))))) (-.f64 (+.f64 3 (+.f64 (.f64 9/2 (cos.f64 y)) (.f64 3/2 (.f64 (cos.f64 x) (sqrt.f64 5))))) (+.f64 (.f64 3/2 (.f64 (cos.f64 y) (sqrt.f64 5))) (.f64 3/2 (cos.f64 x)))))
▶	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) (cbrt.f64 (.f64 (*.f64 (fma.f64 3/2 (sqrt.f64 5) -3/2) (fma.f64 3/2 (sqrt.f64 5) -3/2)) (fma.f64 3/2 (sqrt.f64 5) -3/2)))) (fma.f64 (cos.f64 y) (-.f64 9/2 (/.f64 (sqrt.f64 5) 2/3)) 3)))
	0.4b	(/.f64 (fma.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16)) (.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)) (.f64 (.f64 (cbrt.f64 (-.f64 (cos.f64 x) (cos.f64 y))) (cbrt.f64 (-.f64 (cos.f64 x) (cos.f64 y)))) (cbrt.f64 (-.f64 (cos.f64 x) (cos.f64 y)))))) 2) (+.f64 (/.f64 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) 2/3) (fma.f64 (cos.f64 y) (-.f64 9/2 (/.f64 (sqrt.f64 5) 2/3)) 3)))

Compiler

Compiled 10709 to 7665 computations (28.4% saved)

localize32.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.0b	(fma.f64 3/2 (sqrt.f64 5) -3/2)
✓	1.0b	(.f64 (.f64 (fma.f64 3/2 (sqrt.f64 5) -3/2) (fma.f64 3/2 (sqrt.f64 5) -3/2)) (fma.f64 3/2 (sqrt.f64 5) -3/2))
✓	1.6b	(cbrt.f64 (.f64 (.f64 (fma.f64 3/2 (sqrt.f64 5) -3/2) (fma.f64 3/2 (sqrt.f64 5) -3/2)) (fma.f64 3/2 (sqrt.f64 5) -3/2)))
	2.6b	(-.f64 (cos.f64 x) (cos.f64 y))

series0.0ms (0%)

Counts: 3 → 0

rewrite41.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

619×	`pow1_binary64`
587×	`add-log-exp_binary64`
587×	`log1p-expm1-u_binary64`
587×	`expm1-log1p-u_binary64`
76×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	24
1	178	24
2	1697	24

Stop Event

1×	node limit

Counts

3 → 68

Calls

Call 1

Inputs

(cbrt.f64 (*.f64 (*.f64 (fma.f64 3/2 (sqrt.f64 5) -3/2) (fma.f64 3/2 (sqrt.f64 5) -3/2)) (fma.f64 3/2 (sqrt.f64 5) -3/2)))

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

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

Outputs

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

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

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

simplify6.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

68 → 42

Calls

Call 1

Inputs

Outputs

prune214.0ms (1.6%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	70	2	72
Fresh	2	8	10
Picked	1	0	1
Done	0	0	0
Total	73	10	83

Error

0.0b

Counts

83 → 10

Alt Table

Status	Error	Program
	0.6b	(.f64 (sqrt.f64 (/.f64 (fma.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 y) (.f64 (sin.f64 x) 1/16)) (.f64 (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16)) (-.f64 (cos.f64 x) (cos.f64 y)))) 2) (fma.f64 (cos.f64 x) (fma.f64 3/2 (sqrt.f64 5) -3/2) (fma.f64 (cos.f64 y) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5))) 3)))) (sqrt.f64 (/.f64 (fma.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 y) (.f64 (sin.f64 x) 1/16)) (.f64 (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16)) (-.f64 (cos.f64 x) (cos.f64 y)))) 2) (fma.f64 (cos.f64 x) (fma.f64 3/2 (sqrt.f64 5) -3/2) (fma.f64 (cos.f64 y) (-.f64 9/2 (*.f64 3/2 (sqrt.f64 5))) 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 (cos.f64 x) (.f64 (cbrt.f64 (fma.f64 3/2 (sqrt.f64 5) -3/2)) (pow.f64 (cbrt.f64 (fma.f64 3/2 (sqrt.f64 5) -3/2)) 2))) (fma.f64 (cos.f64 y) (-.f64 9/2 (/.f64 (sqrt.f64 5) 2/3)) 3)))
	0.6b	(/.f64 (+.f64 (fma.f64 1/16 (.f64 (pow.f64 (sin.f64 y) 2) (.f64 (cos.f64 y) (sqrt.f64 2))) 2) (-.f64 (fma.f64 1/16 (.f64 (cos.f64 y) (.f64 (sqrt.f64 2) (pow.f64 (sin.f64 x) 2))) (.f64 (.f64 (cos.f64 x) (.f64 (sqrt.f64 2) (sin.f64 x))) (.f64 257/256 (sin.f64 y)))) (fma.f64 1/16 (.f64 (cos.f64 x) (.f64 (sqrt.f64 2) (pow.f64 (sin.f64 y) 2))) (fma.f64 1/16 (.f64 (pow.f64 (sin.f64 x) 2) (.f64 (cos.f64 x) (sqrt.f64 2))) (.f64 257/256 (.f64 (.f64 (sqrt.f64 2) (sin.f64 x)) (.f64 (cos.f64 y) (sin.f64 y)))))))) (+.f64 (fma.f64 (cos.f64 y) 9/2 (.f64 (cos.f64 x) (.f64 3/2 (sqrt.f64 5)))) (-.f64 3 (*.f64 3/2 (fma.f64 (cos.f64 y) (sqrt.f64 5) (cos.f64 x))))))
	31.0b	(+.f64 (fma.f64 1/16 (/.f64 (.f64 (sqrt.f64 2) (pow.f64 (sin.f64 x) 2)) (+.f64 15/2 (.f64 3/2 (fma.f64 (cos.f64 x) (sqrt.f64 5) (neg.f64 (+.f64 (cos.f64 x) (sqrt.f64 5))))))) (/.f64 (.f64 y 257/256) (/.f64 (+.f64 15/2 (.f64 3/2 (fma.f64 (cos.f64 x) (sqrt.f64 5) (neg.f64 (+.f64 (cos.f64 x) (sqrt.f64 5)))))) (.f64 (cos.f64 x) (.f64 (sqrt.f64 2) (sin.f64 x)))))) (-.f64 (/.f64 2 (+.f64 15/2 (.f64 3/2 (fma.f64 (cos.f64 x) (sqrt.f64 5) (neg.f64 (+.f64 (cos.f64 x) (sqrt.f64 5))))))) (fma.f64 1/16 (/.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 x))) (+.f64 15/2 (.f64 3/2 (fma.f64 (cos.f64 x) (sqrt.f64 5) (neg.f64 (+.f64 (cos.f64 x) (sqrt.f64 5))))))) (/.f64 257/256 (/.f64 (+.f64 15/2 (.f64 3/2 (fma.f64 (cos.f64 x) (sqrt.f64 5) (neg.f64 (+.f64 (cos.f64 x) (sqrt.f64 5)))))) (.f64 (sqrt.f64 2) (*.f64 (sin.f64 x) y)))))))
	0.7b	(/.f64 (-.f64 (+.f64 (.f64 1/16 (.f64 (pow.f64 (sin.f64 y) 2) (.f64 (cos.f64 y) (sqrt.f64 2)))) (+.f64 2 (+.f64 (.f64 1/16 (.f64 (cos.f64 y) (.f64 (sqrt.f64 2) (pow.f64 (sin.f64 x) 2)))) (.f64 257/256 (.f64 (sin.f64 y) (.f64 (sqrt.f64 2) (.f64 (sin.f64 x) (cos.f64 x)))))))) (+.f64 (.f64 1/16 (.f64 (pow.f64 (sin.f64 y) 2) (.f64 (sqrt.f64 2) (cos.f64 x)))) (+.f64 (.f64 257/256 (.f64 (sin.f64 y) (.f64 (cos.f64 y) (.f64 (sqrt.f64 2) (sin.f64 x))))) (.f64 1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 x))))))) (-.f64 (+.f64 3 (+.f64 (.f64 9/2 (cos.f64 y)) (.f64 3/2 (.f64 (cos.f64 x) (sqrt.f64 5))))) (+.f64 (.f64 3/2 (.f64 (cos.f64 y) (sqrt.f64 5))) (.f64 3/2 (cos.f64 x)))))
▶	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 (.f64 (cbrt.f64 (-.f64 (cos.f64 x) (cos.f64 y))) (cbrt.f64 (-.f64 (cos.f64 x) (cos.f64 y)))) (cbrt.f64 (-.f64 (cos.f64 x) (cos.f64 y)))))) 2) (+.f64 (.f64 (cos.f64 x) (cbrt.f64 (.f64 (*.f64 (fma.f64 3/2 (sqrt.f64 5) -3/2) (fma.f64 3/2 (sqrt.f64 5) -3/2)) (fma.f64 3/2 (sqrt.f64 5) -3/2)))) (fma.f64 (cos.f64 y) (-.f64 9/2 (/.f64 (sqrt.f64 5) 2/3)) 3)))
	0.6b	(cbrt.f64 (.f64 (.f64 (/.f64 (fma.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 y) (.f64 (sin.f64 x) 1/16)) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16)))) 2) (+.f64 (.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) 3/2) (fma.f64 (cos.f64 y) (-.f64 9/2 (.f64 (sqrt.f64 5) 3/2)) 3))) (/.f64 (fma.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 y) (.f64 (sin.f64 x) 1/16)) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16)))) 2) (+.f64 (.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) 3/2) (fma.f64 (cos.f64 y) (-.f64 9/2 (.f64 (sqrt.f64 5) 3/2)) 3)))) (/.f64 (fma.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 y) (.f64 (sin.f64 x) 1/16)) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16)))) 2) (+.f64 (.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) 3/2) (fma.f64 (cos.f64 y) (-.f64 9/2 (*.f64 (sqrt.f64 5) 3/2)) 3)))))
	0.6b	(log.f64 (exp.f64 (/.f64 (fma.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 y) (.f64 (sin.f64 x) 1/16)) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16)))) 2) (+.f64 (.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) 3/2) (fma.f64 (cos.f64 y) (-.f64 9/2 (*.f64 (sqrt.f64 5) 3/2)) 3)))))
	1.3b	(.f64 (.f64 (cbrt.f64 (/.f64 (fma.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 y) (.f64 (sin.f64 x) 1/16)) (.f64 (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16)) (-.f64 (cos.f64 x) (cos.f64 y)))) 2) (fma.f64 (cos.f64 x) (fma.f64 3/2 (sqrt.f64 5) -3/2) (fma.f64 (cos.f64 y) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5))) 3)))) (cbrt.f64 (/.f64 (fma.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 y) (.f64 (sin.f64 x) 1/16)) (.f64 (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16)) (-.f64 (cos.f64 x) (cos.f64 y)))) 2) (fma.f64 (cos.f64 x) (fma.f64 3/2 (sqrt.f64 5) -3/2) (fma.f64 (cos.f64 y) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5))) 3))))) (cbrt.f64 (/.f64 (fma.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 y) (.f64 (sin.f64 x) 1/16)) (.f64 (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16)) (-.f64 (cos.f64 x) (cos.f64 y)))) 2) (fma.f64 (cos.f64 x) (fma.f64 3/2 (sqrt.f64 5) -3/2) (fma.f64 (cos.f64 y) (-.f64 9/2 (*.f64 3/2 (sqrt.f64 5))) 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 (.f64 (cbrt.f64 (-.f64 (cos.f64 x) (cos.f64 y))) (cbrt.f64 (-.f64 (cos.f64 x) (cos.f64 y)))) (cbrt.f64 (-.f64 (cos.f64 x) (cos.f64 y)))))) 2) (+.f64 (/.f64 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) 2/3) (fma.f64 (cos.f64 y) (-.f64 9/2 (/.f64 (sqrt.f64 5) 2/3)) 3)))

Compiler

Compiled 6026 to 4195 computations (30.4% saved)

localize38.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	1.0b	(fma.f64 3/2 (sqrt.f64 5) -3/2)
	1.0b	(.f64 (.f64 (fma.f64 3/2 (sqrt.f64 5) -3/2) (fma.f64 3/2 (sqrt.f64 5) -3/2)) (fma.f64 3/2 (sqrt.f64 5) -3/2))
	1.6b	(cbrt.f64 (.f64 (.f64 (fma.f64 3/2 (sqrt.f64 5) -3/2) (fma.f64 3/2 (sqrt.f64 5) -3/2)) (fma.f64 3/2 (sqrt.f64 5) -3/2)))
	2.6b	(-.f64 (cos.f64 x) (cos.f64 y))

prune437.0ms (3.2%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	128	0	128
Fresh	0	9	9
Picked	0	1	1
Done	0	0	0
Total	128	10	138

Error

0.0b

Counts

138 → 10

Alt Table

Status	Error	Program
	0.6b	(.f64 (sqrt.f64 (/.f64 (fma.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 y) (.f64 (sin.f64 x) 1/16)) (.f64 (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16)) (-.f64 (cos.f64 x) (cos.f64 y)))) 2) (fma.f64 (cos.f64 x) (fma.f64 3/2 (sqrt.f64 5) -3/2) (fma.f64 (cos.f64 y) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5))) 3)))) (sqrt.f64 (/.f64 (fma.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 y) (.f64 (sin.f64 x) 1/16)) (.f64 (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16)) (-.f64 (cos.f64 x) (cos.f64 y)))) 2) (fma.f64 (cos.f64 x) (fma.f64 3/2 (sqrt.f64 5) -3/2) (fma.f64 (cos.f64 y) (-.f64 9/2 (*.f64 3/2 (sqrt.f64 5))) 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 (cos.f64 x) (.f64 (cbrt.f64 (fma.f64 3/2 (sqrt.f64 5) -3/2)) (pow.f64 (cbrt.f64 (fma.f64 3/2 (sqrt.f64 5) -3/2)) 2))) (fma.f64 (cos.f64 y) (-.f64 9/2 (/.f64 (sqrt.f64 5) 2/3)) 3)))
	0.6b	(/.f64 (+.f64 (fma.f64 1/16 (.f64 (pow.f64 (sin.f64 y) 2) (.f64 (cos.f64 y) (sqrt.f64 2))) 2) (-.f64 (fma.f64 1/16 (.f64 (cos.f64 y) (.f64 (sqrt.f64 2) (pow.f64 (sin.f64 x) 2))) (.f64 (.f64 (cos.f64 x) (.f64 (sqrt.f64 2) (sin.f64 x))) (.f64 257/256 (sin.f64 y)))) (fma.f64 1/16 (.f64 (cos.f64 x) (.f64 (sqrt.f64 2) (pow.f64 (sin.f64 y) 2))) (fma.f64 1/16 (.f64 (pow.f64 (sin.f64 x) 2) (.f64 (cos.f64 x) (sqrt.f64 2))) (.f64 257/256 (.f64 (.f64 (sqrt.f64 2) (sin.f64 x)) (.f64 (cos.f64 y) (sin.f64 y)))))))) (+.f64 (fma.f64 (cos.f64 y) 9/2 (.f64 (cos.f64 x) (.f64 3/2 (sqrt.f64 5)))) (-.f64 3 (*.f64 3/2 (fma.f64 (cos.f64 y) (sqrt.f64 5) (cos.f64 x))))))
	31.0b	(+.f64 (fma.f64 1/16 (/.f64 (.f64 (sqrt.f64 2) (pow.f64 (sin.f64 x) 2)) (+.f64 15/2 (.f64 3/2 (fma.f64 (cos.f64 x) (sqrt.f64 5) (neg.f64 (+.f64 (cos.f64 x) (sqrt.f64 5))))))) (/.f64 (.f64 y 257/256) (/.f64 (+.f64 15/2 (.f64 3/2 (fma.f64 (cos.f64 x) (sqrt.f64 5) (neg.f64 (+.f64 (cos.f64 x) (sqrt.f64 5)))))) (.f64 (cos.f64 x) (.f64 (sqrt.f64 2) (sin.f64 x)))))) (-.f64 (/.f64 2 (+.f64 15/2 (.f64 3/2 (fma.f64 (cos.f64 x) (sqrt.f64 5) (neg.f64 (+.f64 (cos.f64 x) (sqrt.f64 5))))))) (fma.f64 1/16 (/.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 x))) (+.f64 15/2 (.f64 3/2 (fma.f64 (cos.f64 x) (sqrt.f64 5) (neg.f64 (+.f64 (cos.f64 x) (sqrt.f64 5))))))) (/.f64 257/256 (/.f64 (+.f64 15/2 (.f64 3/2 (fma.f64 (cos.f64 x) (sqrt.f64 5) (neg.f64 (+.f64 (cos.f64 x) (sqrt.f64 5)))))) (.f64 (sqrt.f64 2) (*.f64 (sin.f64 x) y)))))))
	0.7b	(/.f64 (-.f64 (+.f64 (.f64 1/16 (.f64 (pow.f64 (sin.f64 y) 2) (.f64 (cos.f64 y) (sqrt.f64 2)))) (+.f64 2 (+.f64 (.f64 1/16 (.f64 (cos.f64 y) (.f64 (sqrt.f64 2) (pow.f64 (sin.f64 x) 2)))) (.f64 257/256 (.f64 (sin.f64 y) (.f64 (sqrt.f64 2) (.f64 (sin.f64 x) (cos.f64 x)))))))) (+.f64 (.f64 1/16 (.f64 (pow.f64 (sin.f64 y) 2) (.f64 (sqrt.f64 2) (cos.f64 x)))) (+.f64 (.f64 257/256 (.f64 (sin.f64 y) (.f64 (cos.f64 y) (.f64 (sqrt.f64 2) (sin.f64 x))))) (.f64 1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 x))))))) (-.f64 (+.f64 3 (+.f64 (.f64 9/2 (cos.f64 y)) (.f64 3/2 (.f64 (cos.f64 x) (sqrt.f64 5))))) (+.f64 (.f64 3/2 (.f64 (cos.f64 y) (sqrt.f64 5))) (.f64 3/2 (cos.f64 x)))))
✓	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 (.f64 (cbrt.f64 (-.f64 (cos.f64 x) (cos.f64 y))) (cbrt.f64 (-.f64 (cos.f64 x) (cos.f64 y)))) (cbrt.f64 (-.f64 (cos.f64 x) (cos.f64 y)))))) 2) (+.f64 (.f64 (cos.f64 x) (cbrt.f64 (.f64 (*.f64 (fma.f64 3/2 (sqrt.f64 5) -3/2) (fma.f64 3/2 (sqrt.f64 5) -3/2)) (fma.f64 3/2 (sqrt.f64 5) -3/2)))) (fma.f64 (cos.f64 y) (-.f64 9/2 (/.f64 (sqrt.f64 5) 2/3)) 3)))
	0.6b	(cbrt.f64 (.f64 (.f64 (/.f64 (fma.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 y) (.f64 (sin.f64 x) 1/16)) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16)))) 2) (+.f64 (.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) 3/2) (fma.f64 (cos.f64 y) (-.f64 9/2 (.f64 (sqrt.f64 5) 3/2)) 3))) (/.f64 (fma.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 y) (.f64 (sin.f64 x) 1/16)) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16)))) 2) (+.f64 (.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) 3/2) (fma.f64 (cos.f64 y) (-.f64 9/2 (.f64 (sqrt.f64 5) 3/2)) 3)))) (/.f64 (fma.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 y) (.f64 (sin.f64 x) 1/16)) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16)))) 2) (+.f64 (.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) 3/2) (fma.f64 (cos.f64 y) (-.f64 9/2 (*.f64 (sqrt.f64 5) 3/2)) 3)))))
	0.6b	(log.f64 (exp.f64 (/.f64 (fma.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 y) (.f64 (sin.f64 x) 1/16)) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16)))) 2) (+.f64 (.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) 3/2) (fma.f64 (cos.f64 y) (-.f64 9/2 (*.f64 (sqrt.f64 5) 3/2)) 3)))))
	1.3b	(.f64 (.f64 (cbrt.f64 (/.f64 (fma.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 y) (.f64 (sin.f64 x) 1/16)) (.f64 (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16)) (-.f64 (cos.f64 x) (cos.f64 y)))) 2) (fma.f64 (cos.f64 x) (fma.f64 3/2 (sqrt.f64 5) -3/2) (fma.f64 (cos.f64 y) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5))) 3)))) (cbrt.f64 (/.f64 (fma.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 y) (.f64 (sin.f64 x) 1/16)) (.f64 (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16)) (-.f64 (cos.f64 x) (cos.f64 y)))) 2) (fma.f64 (cos.f64 x) (fma.f64 3/2 (sqrt.f64 5) -3/2) (fma.f64 (cos.f64 y) (-.f64 9/2 (.f64 3/2 (sqrt.f64 5))) 3))))) (cbrt.f64 (/.f64 (fma.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 y) (.f64 (sin.f64 x) 1/16)) (.f64 (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16)) (-.f64 (cos.f64 x) (cos.f64 y)))) 2) (fma.f64 (cos.f64 x) (fma.f64 3/2 (sqrt.f64 5) -3/2) (fma.f64 (cos.f64 y) (-.f64 9/2 (*.f64 3/2 (sqrt.f64 5))) 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 (.f64 (cbrt.f64 (-.f64 (cos.f64 x) (cos.f64 y))) (cbrt.f64 (-.f64 (cos.f64 x) (cos.f64 y)))) (cbrt.f64 (-.f64 (cos.f64 x) (cos.f64 y)))))) 2) (+.f64 (/.f64 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) 2/3) (fma.f64 (cos.f64 y) (-.f64 9/2 (/.f64 (sqrt.f64 5) 2/3)) 3)))

Compiler

Compiled 10653 to 6317 computations (40.7% saved)

regimes1.3s (9.7%)

Accuracy

Total 0.3b remaining (84.1%)

Threshold costs 0.3b (84.1%)

Counts

213 → 1

Compiler

Compiled 41756 to 30535 computations (26.9% saved)

simplify5.0ms (0%)

Algorithm

1×	egg-herbie

Rules

14×	`+-commutative_binary64`
12×	`*-commutative_binary64`
11×	`sub-neg_binary64`
7×	`neg-sub0_binary64`
7×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	127
1	59	127
2	79	127
3	93	127
4	103	127
5	106	127

Stop Event

1×

saturated

Calls

Call 1

Inputs

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

Outputs

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

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

end555.0ms (4%)

Stop Event

1×

fuel

Compiler

Compiled 1125 to 788 computations (30% saved)

Details

analyze1.2s (8.5%)

sample8.3s (60.4%)

preprocess30.0ms (0.2%)

simplify24.0ms (0.2%)

prune7.0ms (0.1%)

localize29.0ms (0.2%)

series312.0ms (2.3%)

rewrite45.0ms (0.3%)

simplify124.0ms (0.9%)

prune289.0ms (2.1%)

localize28.0ms (0.2%)

series312.0ms (2.3%)

rewrite38.0ms (0.3%)

simplify109.0ms (0.8%)

prune281.0ms (2%)

localize32.0ms (0.2%)

series0.0ms (0%)

rewrite41.0ms (0.3%)

simplify6.0ms (0%)

prune214.0ms (1.6%)

localize38.0ms (0.3%)

prune437.0ms (3.2%)

regimes1.3s (9.7%)

simplify5.0ms (0%)

end555.0ms (4%)

Profiling