Details

analyze1.3s (9.2%)

Algorithm

1×

Search

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

Compiler

Compiled 53 to 41 computations (22.6% saved)

sample8.9s (60.8%)

Results

6.0s	3596×	body	1024	valid
1.5s	1415×	body	512	valid
916.0ms	2623×	body	128	valid
417.0ms	599×	body	256	valid
63.0ms	23×	body	2048	valid

Compiler

Compiled 106 to 82 computations (22.6% saved)

preprocess28.0ms (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)

simplify26.0ms (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)))

prune6.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

0.3b

Counts

3 → 2

Alt Table

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

Status

Error

Program

0.4b

(/.f64 (fma.f64 (sqrt.f64 2) (*.f64 (-.f64 (sin.f64 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)))

▶

0.4b

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

Compiler

Compiled 298 to 221 computations (25.8% saved)

localize33.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

series27.0ms (0.2%)

Counts

4 → 56

Calls

18 calls:

Time	Variable		Point	Expression
12.0ms	y	@	0	(*.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)))
2.0ms	x	@	-inf	(.f64 (.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16)))
1.0ms	y	@	inf	(*.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)))
1.0ms	x	@	inf	(.f64 (.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16)))
1.0ms	x	@	inf	(*.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)))

rewrite38.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

248×	`add-sqr-sqrt_binary64`
239×	`*-un-lft-identity_binary64`
239×	`pow1_binary64`
235×	`add-exp-log_binary64`
235×	`add-log-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	59
1	484	59

Stop Event

1×	node limit

Counts

4 → 66

Calls

Call 1

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

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

simplify40.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

582×	`fma-def_binary64`
456×	`associate-r_binary64`
453×	`associate-l_binary64`
394×	`cancel-sign-sub-inv_binary64`
242×	`fma-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	119	1356
1	372	1280
2	1260	1146

Stop Event

1×	node limit

Counts

122 → 116

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

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 (fma.f64 1/24 (pow.f64 x 4) 1) (+.f64 (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)))))
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(-.f64 (.f64 257/256 (.f64 y (.f64 (sqrt.f64 2) (sin.f64 x)))) (.f64 1/16 (*.f64 (sqrt.f64 2) (pow.f64 (sin.f64 x) 2))))
(+.f64 (.f64 257/256 (.f64 (.f64 y (sqrt.f64 2)) (sin.f64 x))) (.f64 (*.f64 -1/16 (sqrt.f64 2)) (pow.f64 (sin.f64 x) 2)))
(fma.f64 257/256 (.f64 y (.f64 (sqrt.f64 2) (sin.f64 x))) (.f64 -1/16 (.f64 (sqrt.f64 2) (pow.f64 (sin.f64 x) 2))))
(.f64 (sqrt.f64 2) (+.f64 (.f64 (sin.f64 x) (.f64 y 257/256)) (.f64 -1/16 (pow.f64 (sin.f64 x) 2))))
(-.f64 (.f64 257/256 (.f64 y (.f64 (sqrt.f64 2) (sin.f64 x)))) (+.f64 (.f64 1/16 (.f64 (pow.f64 y 2) (sqrt.f64 2))) (.f64 1/16 (*.f64 (sqrt.f64 2) (pow.f64 (sin.f64 x) 2)))))
(-.f64 (.f64 257/256 (.f64 (.f64 y (sqrt.f64 2)) (sin.f64 x))) (.f64 1/16 (+.f64 (.f64 (.f64 y y) (sqrt.f64 2)) (*.f64 (sqrt.f64 2) (pow.f64 (sin.f64 x) 2)))))
(fma.f64 257/256 (.f64 y (.f64 (sqrt.f64 2) (sin.f64 x))) (.f64 -1/16 (.f64 (sqrt.f64 2) (+.f64 (*.f64 y y) (pow.f64 (sin.f64 x) 2)))))
(fma.f64 y (.f64 (.f64 (sqrt.f64 2) (sin.f64 x)) 257/256) (.f64 -1/16 (.f64 (sqrt.f64 2) (fma.f64 y y (pow.f64 (sin.f64 x) 2)))))
(-.f64 (.f64 257/256 (.f64 y (.f64 (sqrt.f64 2) (sin.f64 x)))) (+.f64 (.f64 257/1536 (.f64 (pow.f64 y 3) (.f64 (sqrt.f64 2) (sin.f64 x)))) (+.f64 (.f64 1/16 (.f64 (pow.f64 y 2) (sqrt.f64 2))) (.f64 1/16 (.f64 (sqrt.f64 2) (pow.f64 (sin.f64 x) 2))))))
(-.f64 (.f64 257/256 (.f64 (.f64 y (sqrt.f64 2)) (sin.f64 x))) (fma.f64 257/1536 (.f64 (.f64 (sqrt.f64 2) (sin.f64 x)) (pow.f64 y 3)) (.f64 1/16 (+.f64 (.f64 (.f64 y y) (sqrt.f64 2)) (*.f64 (sqrt.f64 2) (pow.f64 (sin.f64 x) 2))))))
(+.f64 (.f64 (.f64 (sqrt.f64 2) (sin.f64 x)) (-.f64 (.f64 y 257/256) (.f64 (pow.f64 y 3) 257/1536))) (.f64 -1/16 (.f64 (sqrt.f64 2) (+.f64 (*.f64 y y) (pow.f64 (sin.f64 x) 2)))))
(fma.f64 (.f64 (sqrt.f64 2) (sin.f64 x)) (fma.f64 y 257/256 (.f64 (pow.f64 y 3) -257/1536)) (.f64 -1/16 (.f64 (sqrt.f64 2) (fma.f64 y y (pow.f64 (sin.f64 x) 2)))))
(.f64 (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))) (.f64 (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x))) (sqrt.f64 2)))
(.f64 (.f64 (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16)) (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x)))) (sqrt.f64 2))
(.f64 (+.f64 (sin.f64 y) (.f64 -1/16 (sin.f64 x))) (.f64 (sqrt.f64 2) (+.f64 (sin.f64 x) (.f64 -1/16 (sin.f64 y)))))
(.f64 (sqrt.f64 2) (.f64 (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)) (fma.f64 -1/16 (sin.f64 x) (sin.f64 y))))
(.f64 (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))) (.f64 (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x))) (sqrt.f64 2)))
(.f64 (.f64 (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16)) (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x)))) (sqrt.f64 2))
(.f64 (+.f64 (sin.f64 y) (.f64 -1/16 (sin.f64 x))) (.f64 (sqrt.f64 2) (+.f64 (sin.f64 x) (.f64 -1/16 (sin.f64 y)))))
(.f64 (sqrt.f64 2) (.f64 (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)) (fma.f64 -1/16 (sin.f64 x) (sin.f64 y))))
(.f64 (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))) (.f64 (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x))) (sqrt.f64 2)))
(.f64 (.f64 (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16)) (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x)))) (sqrt.f64 2))
(.f64 (+.f64 (sin.f64 y) (.f64 -1/16 (sin.f64 x))) (.f64 (sqrt.f64 2) (+.f64 (sin.f64 x) (.f64 -1/16 (sin.f64 y)))))
(.f64 (sqrt.f64 2) (.f64 (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)) (fma.f64 -1/16 (sin.f64 x) (sin.f64 y))))
(.f64 (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))) (.f64 (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x))) (sqrt.f64 2)))
(.f64 (.f64 (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16)) (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x)))) (sqrt.f64 2))
(.f64 (+.f64 (sin.f64 y) (.f64 -1/16 (sin.f64 x))) (.f64 (sqrt.f64 2) (+.f64 (sin.f64 x) (.f64 -1/16 (sin.f64 y)))))
(.f64 (sqrt.f64 2) (.f64 (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)) (fma.f64 -1/16 (sin.f64 x) (sin.f64 y))))
(.f64 (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))) (.f64 (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x))) (sqrt.f64 2)))
(.f64 (.f64 (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16)) (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x)))) (sqrt.f64 2))
(.f64 (+.f64 (sin.f64 y) (.f64 -1/16 (sin.f64 x))) (.f64 (sqrt.f64 2) (+.f64 (sin.f64 x) (.f64 -1/16 (sin.f64 y)))))
(.f64 (sqrt.f64 2) (.f64 (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)) (fma.f64 -1/16 (sin.f64 x) (sin.f64 y))))
(.f64 (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))) (.f64 (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x))) (sqrt.f64 2)))
(.f64 (.f64 (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16)) (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x)))) (sqrt.f64 2))
(.f64 (+.f64 (sin.f64 y) (.f64 -1/16 (sin.f64 x))) (.f64 (sqrt.f64 2) (+.f64 (sin.f64 x) (.f64 -1/16 (sin.f64 y)))))
(.f64 (sqrt.f64 2) (.f64 (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)) (fma.f64 -1/16 (sin.f64 x) (sin.f64 y))))
(.f64 (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))) (.f64 (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x))) (sqrt.f64 2)))
(.f64 (.f64 (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16)) (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x)))) (sqrt.f64 2))
(.f64 (+.f64 (sin.f64 y) (.f64 -1/16 (sin.f64 x))) (.f64 (sqrt.f64 2) (+.f64 (sin.f64 x) (.f64 -1/16 (sin.f64 y)))))
(.f64 (sqrt.f64 2) (.f64 (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)) (fma.f64 -1/16 (sin.f64 x) (sin.f64 y))))
(.f64 (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))) (.f64 (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x))) (sqrt.f64 2)))
(.f64 (.f64 (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16)) (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x)))) (sqrt.f64 2))
(.f64 (+.f64 (sin.f64 y) (.f64 -1/16 (sin.f64 x))) (.f64 (sqrt.f64 2) (+.f64 (sin.f64 x) (.f64 -1/16 (sin.f64 y)))))
(.f64 (sqrt.f64 2) (.f64 (fma.f64 -1/16 (sin.f64 y) (sin.f64 x)) (fma.f64 -1/16 (sin.f64 x) (sin.f64 y))))

prune289.0ms (2%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	108	8	116
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	109	9	118

Error

0.2b

Counts

118 → 9

Alt Table

Status	Error	Program
	0.4b	(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (/.f64 (-.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (cos.f64 y) 3)) (+.f64 (pow.f64 (cos.f64 x) 2) (+.f64 (pow.f64 (cos.f64 y) 2) (.f64 (cos.f64 x) (cos.f64 y))))))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (*.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
	0.4b	(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (log.f64 (exp.f64 (-.f64 3 (sqrt.f64 5)))) 2) (cos.f64 y)))))
	7.5b	(/.f64 (+.f64 2 (.f64 (.f64 (-.f64 (exp.f64 (log1p.f64 (.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16))))) 1) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (*.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
	0.4b	(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (pow.f64 (cbrt.f64 (-.f64 (cos.f64 x) (cos.f64 y))) 3))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
	0.4b	(/.f64 (fma.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 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)))
▶	0.3b	(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (/.f64 4 (+.f64 3 (sqrt.f64 5))) 2) (cos.f64 y)))))
	0.4b	(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (+.f64 (fma.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cbrt.f64 (cos.f64 x)) (neg.f64 (.f64 (cbrt.f64 (cos.f64 y)) (pow.f64 (cbrt.f64 (cos.f64 y)) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (cos.f64 y))) (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (.f64 (cbrt.f64 (cos.f64 y)) (pow.f64 (cbrt.f64 (cos.f64 y)) 2)))))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
	0.4b	(/.f64 (+.f64 2 (.f64 (pow.f64 (cbrt.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16)) (-.f64 (sin.f64 y) (.f64 (sin.f64 x) 1/16))))) 3) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
	2.6b	(/.f64 (+.f64 2 (.f64 (-.f64 (exp.f64 (log1p.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16)) (-.f64 (sin.f64 y) (.f64 (sin.f64 x) 1/16)))))) 1) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))

Compiler

Compiled 7510 to 5221 computations (30.5% saved)

localize32.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

series11.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

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

rewrite29.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

217×	`add-sqr-sqrt_binary64`
211×	`*-un-lft-identity_binary64`
211×	`pow1_binary64`
205×	`add-exp-log_binary64`
205×	`add-log-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	39
1	415	39

Stop Event

1×	node limit

Counts

1 → 15

Calls

Call 1

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

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

Outputs

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

simplify39.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

486×	`cancel-sign-sub-inv_binary64`
399×	`associate--r+_binary64`
348×	`associate-+l+_binary64`
334×	`associate--l+_binary64`
238×	`fma-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	117	1348
1	403	1311
2	1614	1238

Stop Event

1×	node limit

Counts

39 → 33

Calls

Call 1

Inputs
(.f64 -1/16 (.f64 (pow.f64 (sin.f64 y) 2) (*.f64 (-.f64 1 (cos.f64 y)) (sqrt.f64 2))))
(-.f64 (+.f64 (.f64 1/16 (.f64 (pow.f64 (sin.f64 y) 2) (.f64 (cos.f64 y) (sqrt.f64 2)))) (.f64 257/256 (.f64 (sin.f64 y) (.f64 (sqrt.f64 2) x)))) (+.f64 (.f64 1/16 (.f64 (pow.f64 (sin.f64 y) 2) (sqrt.f64 2))) (.f64 257/256 (.f64 (sin.f64 y) (.f64 (cos.f64 y) (.f64 (sqrt.f64 2) x))))))
(-.f64 (+.f64 (.f64 1/16 (.f64 (pow.f64 (sin.f64 y) 2) (.f64 (cos.f64 y) (sqrt.f64 2)))) (+.f64 (.f64 257/256 (.f64 (sin.f64 y) (.f64 (sqrt.f64 2) x))) (+.f64 (.f64 1/32 (.f64 (pow.f64 (sin.f64 y) 2) (.f64 (sqrt.f64 2) (pow.f64 x 2)))) (.f64 1/16 (.f64 (cos.f64 y) (.f64 (sqrt.f64 2) (pow.f64 x 2))))))) (+.f64 (.f64 1/16 (.f64 (pow.f64 (sin.f64 y) 2) (sqrt.f64 2))) (+.f64 (.f64 257/256 (.f64 (sin.f64 y) (.f64 (cos.f64 y) (.f64 (sqrt.f64 2) x)))) (.f64 1/16 (.f64 (sqrt.f64 2) (pow.f64 x 2))))))
(-.f64 (+.f64 (.f64 1/32 (.f64 (pow.f64 (sin.f64 y) 2) (.f64 (sqrt.f64 2) (pow.f64 x 2)))) (+.f64 (.f64 1/16 (.f64 (pow.f64 (sin.f64 y) 2) (.f64 (cos.f64 y) (sqrt.f64 2)))) (+.f64 (.f64 257/1536 (.f64 (sin.f64 y) (.f64 (cos.f64 y) (.f64 (sqrt.f64 2) (pow.f64 x 3))))) (+.f64 (.f64 257/256 (.f64 (sin.f64 y) (.f64 (sqrt.f64 2) x))) (.f64 1/16 (.f64 (cos.f64 y) (.f64 (sqrt.f64 2) (pow.f64 x 2)))))))) (+.f64 (.f64 1/16 (.f64 (pow.f64 (sin.f64 y) 2) (sqrt.f64 2))) (+.f64 (.f64 257/384 (.f64 (sin.f64 y) (.f64 (sqrt.f64 2) (pow.f64 x 3)))) (+.f64 (.f64 1/16 (.f64 (sqrt.f64 2) (pow.f64 x 2))) (.f64 257/256 (.f64 (sin.f64 y) (.f64 (cos.f64 y) (*.f64 (sqrt.f64 2) x))))))))
(.f64 (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))) (.f64 (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x))) (*.f64 (sqrt.f64 2) (-.f64 (cos.f64 x) (cos.f64 y)))))
(.f64 (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))) (.f64 (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x))) (*.f64 (sqrt.f64 2) (-.f64 (cos.f64 x) (cos.f64 y)))))
(.f64 (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))) (.f64 (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x))) (*.f64 (sqrt.f64 2) (-.f64 (cos.f64 x) (cos.f64 y)))))
(.f64 (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))) (.f64 (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x))) (*.f64 (sqrt.f64 2) (-.f64 (cos.f64 x) (cos.f64 y)))))
(.f64 (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))) (.f64 (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x))) (*.f64 (sqrt.f64 2) (-.f64 (cos.f64 x) (cos.f64 y)))))
(.f64 (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))) (.f64 (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x))) (*.f64 (sqrt.f64 2) (-.f64 (cos.f64 x) (cos.f64 y)))))
(.f64 (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))) (.f64 (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x))) (*.f64 (sqrt.f64 2) (-.f64 (cos.f64 x) (cos.f64 y)))))
(.f64 (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))) (.f64 (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x))) (*.f64 (sqrt.f64 2) (-.f64 (cos.f64 x) (cos.f64 y)))))
(.f64 -1/16 (.f64 (-.f64 (cos.f64 x) 1) (*.f64 (sqrt.f64 2) (pow.f64 (sin.f64 x) 2))))
(-.f64 (+.f64 (.f64 257/256 (.f64 y (.f64 (sqrt.f64 2) (.f64 (sin.f64 x) (cos.f64 x))))) (.f64 1/16 (.f64 (sqrt.f64 2) (pow.f64 (sin.f64 x) 2)))) (+.f64 (.f64 257/256 (.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 (.f64 1/16 (.f64 (pow.f64 y 2) (sqrt.f64 2))) (+.f64 (.f64 257/256 (.f64 y (.f64 (sqrt.f64 2) (.f64 (sin.f64 x) (cos.f64 x))))) (.f64 1/16 (.f64 (sqrt.f64 2) (pow.f64 (sin.f64 x) 2))))) (+.f64 (.f64 1/32 (.f64 (pow.f64 y 2) (.f64 (sqrt.f64 2) (pow.f64 (sin.f64 x) 2)))) (+.f64 (.f64 257/256 (.f64 y (.f64 (sqrt.f64 2) (sin.f64 x)))) (+.f64 (.f64 1/16 (.f64 (pow.f64 y 2) (.f64 (sqrt.f64 2) (cos.f64 x)))) (.f64 1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 x))))))))
(-.f64 (+.f64 (.f64 257/384 (.f64 (pow.f64 y 3) (.f64 (sqrt.f64 2) (sin.f64 x)))) (+.f64 (.f64 257/256 (.f64 y (.f64 (sqrt.f64 2) (.f64 (sin.f64 x) (cos.f64 x))))) (+.f64 (.f64 1/16 (.f64 (pow.f64 y 2) (sqrt.f64 2))) (.f64 1/16 (.f64 (sqrt.f64 2) (pow.f64 (sin.f64 x) 2)))))) (+.f64 (.f64 257/256 (.f64 y (.f64 (sqrt.f64 2) (sin.f64 x)))) (+.f64 (.f64 1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 x)))) (+.f64 (.f64 1/32 (.f64 (pow.f64 y 2) (.f64 (sqrt.f64 2) (pow.f64 (sin.f64 x) 2)))) (+.f64 (.f64 1/16 (.f64 (pow.f64 y 2) (.f64 (sqrt.f64 2) (cos.f64 x)))) (.f64 257/1536 (.f64 (pow.f64 y 3) (.f64 (sqrt.f64 2) (*.f64 (sin.f64 x) (cos.f64 x))))))))))
(.f64 (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))) (.f64 (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x))) (*.f64 (sqrt.f64 2) (-.f64 (cos.f64 x) (cos.f64 y)))))
(.f64 (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))) (.f64 (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x))) (*.f64 (sqrt.f64 2) (-.f64 (cos.f64 x) (cos.f64 y)))))
(.f64 (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))) (.f64 (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x))) (*.f64 (sqrt.f64 2) (-.f64 (cos.f64 x) (cos.f64 y)))))
(.f64 (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))) (.f64 (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x))) (*.f64 (sqrt.f64 2) (-.f64 (cos.f64 x) (cos.f64 y)))))
(.f64 (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))) (.f64 (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x))) (*.f64 (sqrt.f64 2) (-.f64 (cos.f64 x) (cos.f64 y)))))
(.f64 (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))) (.f64 (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x))) (*.f64 (sqrt.f64 2) (-.f64 (cos.f64 x) (cos.f64 y)))))
(.f64 (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))) (.f64 (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x))) (*.f64 (sqrt.f64 2) (-.f64 (cos.f64 x) (cos.f64 y)))))
(.f64 (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))) (.f64 (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x))) (*.f64 (sqrt.f64 2) (-.f64 (cos.f64 x) (cos.f64 y)))))

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

prune453.0ms (3.1%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	129	4	133
Fresh	2	6	8
Picked	1	0	1
Done	0	0	0
Total	132	10	142

Error

0.2b

Counts

142 → 10

Alt Table

Status	Error	Program
	0.4b	(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (/.f64 (-.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (cos.f64 y) 3)) (+.f64 (pow.f64 (cos.f64 x) 2) (+.f64 (pow.f64 (cos.f64 y) 2) (.f64 (cos.f64 x) (cos.f64 y))))))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (*.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
	0.4b	(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (log.f64 (exp.f64 (-.f64 3 (sqrt.f64 5)))) 2) (cos.f64 y)))))
	0.4b	(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (pow.f64 (cbrt.f64 (-.f64 (cos.f64 x) (cos.f64 y))) 3))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (/.f64 4 (+.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)))
	0.6b	(/.f64 (+.f64 2 (-.f64 (exp.f64 (log1p.f64 (.f64 (.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16))) (.f64 (-.f64 (sin.f64 y) (.f64 (sin.f64 x) 1/16)) (-.f64 (cos.f64 x) (cos.f64 y)))))) 1)) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (/.f64 4 (+.f64 3 (sqrt.f64 5))) 2) (cos.f64 y)))))
	2.6b	(/.f64 (+.f64 2 (.f64 (-.f64 (exp.f64 (log1p.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16)) (-.f64 (sin.f64 y) (.f64 (sin.f64 x) 1/16)))))) 1) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
	0.3b	(/.f64 (+.f64 2 (cbrt.f64 (pow.f64 (.f64 (.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16))) (.f64 (-.f64 (sin.f64 y) (.f64 (sin.f64 x) 1/16)) (-.f64 (cos.f64 x) (cos.f64 y)))) 3))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (/.f64 4 (+.f64 3 (sqrt.f64 5))) 2) (cos.f64 y)))))
▶	0.3b	(/.f64 (+.f64 2 (log.f64 (pow.f64 (pow.f64 (exp.f64 (sqrt.f64 2)) (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16))) (.f64 (-.f64 (sin.f64 y) (.f64 (sin.f64 x) 1/16)) (-.f64 (cos.f64 x) (cos.f64 y)))))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (/.f64 4 (+.f64 3 (sqrt.f64 5))) 2) (cos.f64 y)))))
	0.4b	(/.f64 (+.f64 2 (.f64 (pow.f64 (cbrt.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16)) (-.f64 (sin.f64 y) (.f64 (sin.f64 x) 1/16))))) 3) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
	7.5b	(/.f64 (+.f64 2 (.f64 (.f64 (-.f64 (exp.f64 (log1p.f64 (.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16))))) 1) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (*.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))

Compiler

Compiled 9179 to 6539 computations (28.8% saved)

localize40.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))
✓	0.3b	(/.f64 (+.f64 2 (log.f64 (pow.f64 (pow.f64 (exp.f64 (sqrt.f64 2)) (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16))) (.f64 (-.f64 (sin.f64 y) (.f64 (sin.f64 x) 1/16)) (-.f64 (cos.f64 x) (cos.f64 y)))))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (/.f64 4 (+.f64 3 (sqrt.f64 5))) 2) (cos.f64 y)))))
	1.2b	(-.f64 (cos.f64 x) (cos.f64 y))
✓	3.0b	(log.f64 (pow.f64 (pow.f64 (exp.f64 (sqrt.f64 2)) (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16))) (.f64 (-.f64 (sin.f64 y) (*.f64 (sin.f64 x) 1/16)) (-.f64 (cos.f64 x) (cos.f64 y)))))

series394.0ms (2.7%)

Counts

3 → 60

Calls

15 calls:

Time	Variable		Point	Expression
126.0ms	y	@	-inf	(log.f64 (pow.f64 (pow.f64 (exp.f64 (sqrt.f64 2)) (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16))) (.f64 (-.f64 (sin.f64 y) (*.f64 (sin.f64 x) 1/16)) (-.f64 (cos.f64 x) (cos.f64 y)))))
83.0ms	x	@	inf	(log.f64 (pow.f64 (pow.f64 (exp.f64 (sqrt.f64 2)) (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16))) (.f64 (-.f64 (sin.f64 y) (*.f64 (sin.f64 x) 1/16)) (-.f64 (cos.f64 x) (cos.f64 y)))))
68.0ms	x	@	-inf	(log.f64 (pow.f64 (pow.f64 (exp.f64 (sqrt.f64 2)) (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16))) (.f64 (-.f64 (sin.f64 y) (*.f64 (sin.f64 x) 1/16)) (-.f64 (cos.f64 x) (cos.f64 y)))))
67.0ms	y	@	inf	(log.f64 (pow.f64 (pow.f64 (exp.f64 (sqrt.f64 2)) (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16))) (.f64 (-.f64 (sin.f64 y) (*.f64 (sin.f64 x) 1/16)) (-.f64 (cos.f64 x) (cos.f64 y)))))
11.0ms	y	@	0	(/.f64 (+.f64 2 (log.f64 (pow.f64 (pow.f64 (exp.f64 (sqrt.f64 2)) (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16))) (.f64 (-.f64 (sin.f64 y) (.f64 (sin.f64 x) 1/16)) (-.f64 (cos.f64 x) (cos.f64 y)))))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (/.f64 4 (+.f64 3 (sqrt.f64 5))) 2) (cos.f64 y)))))

rewrite46.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

439×	`pow1_binary64`
425×	`add-log-exp_binary64`
423×	`log1p-expm1-u_binary64`
423×	`expm1-log1p-u_binary64`
422×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	37	144
1	877	136

Stop Event

1×	node limit

Counts

3 → 27

Calls

Call 1

Inputs

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

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

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

Outputs

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

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

simplify97.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

477×	`fma-def_binary64`
399×	`associate-r_binary64`
315×	`associate-+r+_binary64`
234×	`associate-l_binary64`
233×	`associate-+l+_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	353	7743
1	1282	7610

Stop Event

1×	node limit

Counts

87 → 73

Calls

Call 1

Inputs
(.f64 -1/16 (.f64 (pow.f64 (sin.f64 y) 2) (*.f64 (-.f64 1 (cos.f64 y)) (sqrt.f64 2))))
(-.f64 (+.f64 (.f64 1/16 (.f64 (pow.f64 (sin.f64 y) 2) (.f64 (cos.f64 y) (sqrt.f64 2)))) (.f64 257/256 (.f64 (sin.f64 y) (.f64 (sqrt.f64 2) x)))) (+.f64 (.f64 1/16 (.f64 (pow.f64 (sin.f64 y) 2) (sqrt.f64 2))) (.f64 257/256 (.f64 (sin.f64 y) (.f64 (cos.f64 y) (.f64 (sqrt.f64 2) x))))))
(-.f64 (+.f64 (.f64 1/16 (.f64 (pow.f64 (sin.f64 y) 2) (.f64 (cos.f64 y) (sqrt.f64 2)))) (+.f64 (.f64 257/256 (.f64 (sin.f64 y) (.f64 (sqrt.f64 2) x))) (+.f64 (.f64 1/32 (.f64 (pow.f64 (sin.f64 y) 2) (.f64 (sqrt.f64 2) (pow.f64 x 2)))) (.f64 1/16 (.f64 (cos.f64 y) (.f64 (sqrt.f64 2) (pow.f64 x 2))))))) (+.f64 (.f64 1/16 (.f64 (pow.f64 (sin.f64 y) 2) (sqrt.f64 2))) (+.f64 (.f64 257/256 (.f64 (sin.f64 y) (.f64 (cos.f64 y) (.f64 (sqrt.f64 2) x)))) (.f64 1/16 (.f64 (sqrt.f64 2) (pow.f64 x 2))))))
(-.f64 (+.f64 (.f64 1/32 (.f64 (pow.f64 (sin.f64 y) 2) (.f64 (sqrt.f64 2) (pow.f64 x 2)))) (+.f64 (.f64 1/16 (.f64 (pow.f64 (sin.f64 y) 2) (.f64 (cos.f64 y) (sqrt.f64 2)))) (+.f64 (.f64 257/1536 (.f64 (sin.f64 y) (.f64 (cos.f64 y) (.f64 (sqrt.f64 2) (pow.f64 x 3))))) (+.f64 (.f64 257/256 (.f64 (sin.f64 y) (.f64 (sqrt.f64 2) x))) (.f64 1/16 (.f64 (cos.f64 y) (.f64 (sqrt.f64 2) (pow.f64 x 2)))))))) (+.f64 (.f64 1/16 (.f64 (pow.f64 (sin.f64 y) 2) (sqrt.f64 2))) (+.f64 (.f64 257/384 (.f64 (sin.f64 y) (.f64 (sqrt.f64 2) (pow.f64 x 3)))) (+.f64 (.f64 1/16 (.f64 (sqrt.f64 2) (pow.f64 x 2))) (.f64 257/256 (.f64 (sin.f64 y) (.f64 (cos.f64 y) (*.f64 (sqrt.f64 2) x))))))))
(.f64 (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))) (.f64 (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x))) (*.f64 (sqrt.f64 2) (-.f64 (cos.f64 x) (cos.f64 y)))))
(.f64 (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))) (.f64 (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x))) (*.f64 (sqrt.f64 2) (-.f64 (cos.f64 x) (cos.f64 y)))))
(.f64 (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))) (.f64 (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x))) (*.f64 (sqrt.f64 2) (-.f64 (cos.f64 x) (cos.f64 y)))))
(.f64 (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))) (.f64 (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x))) (*.f64 (sqrt.f64 2) (-.f64 (cos.f64 x) (cos.f64 y)))))
(.f64 (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))) (.f64 (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x))) (*.f64 (sqrt.f64 2) (-.f64 (cos.f64 x) (cos.f64 y)))))
(.f64 (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))) (.f64 (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x))) (*.f64 (sqrt.f64 2) (-.f64 (cos.f64 x) (cos.f64 y)))))
(.f64 (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))) (.f64 (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x))) (*.f64 (sqrt.f64 2) (-.f64 (cos.f64 x) (cos.f64 y)))))
(.f64 (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))) (.f64 (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x))) (*.f64 (sqrt.f64 2) (-.f64 (cos.f64 x) (cos.f64 y)))))
(.f64 -1/16 (.f64 (-.f64 (cos.f64 x) 1) (*.f64 (sqrt.f64 2) (pow.f64 (sin.f64 x) 2))))
(-.f64 (+.f64 (.f64 257/256 (.f64 y (.f64 (sqrt.f64 2) (.f64 (sin.f64 x) (cos.f64 x))))) (.f64 1/16 (.f64 (sqrt.f64 2) (pow.f64 (sin.f64 x) 2)))) (+.f64 (.f64 257/256 (.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 (.f64 1/16 (.f64 (pow.f64 y 2) (sqrt.f64 2))) (+.f64 (.f64 257/256 (.f64 y (.f64 (sqrt.f64 2) (.f64 (sin.f64 x) (cos.f64 x))))) (.f64 1/16 (.f64 (sqrt.f64 2) (pow.f64 (sin.f64 x) 2))))) (+.f64 (.f64 1/32 (.f64 (pow.f64 y 2) (.f64 (sqrt.f64 2) (pow.f64 (sin.f64 x) 2)))) (+.f64 (.f64 257/256 (.f64 y (.f64 (sqrt.f64 2) (sin.f64 x)))) (+.f64 (.f64 1/16 (.f64 (pow.f64 y 2) (.f64 (sqrt.f64 2) (cos.f64 x)))) (.f64 1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 x))))))))
(-.f64 (+.f64 (.f64 257/384 (.f64 (pow.f64 y 3) (.f64 (sqrt.f64 2) (sin.f64 x)))) (+.f64 (.f64 257/256 (.f64 y (.f64 (sqrt.f64 2) (.f64 (sin.f64 x) (cos.f64 x))))) (+.f64 (.f64 1/16 (.f64 (pow.f64 y 2) (sqrt.f64 2))) (.f64 1/16 (.f64 (sqrt.f64 2) (pow.f64 (sin.f64 x) 2)))))) (+.f64 (.f64 257/256 (.f64 y (.f64 (sqrt.f64 2) (sin.f64 x)))) (+.f64 (.f64 1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 x)))) (+.f64 (.f64 1/32 (.f64 (pow.f64 y 2) (.f64 (sqrt.f64 2) (pow.f64 (sin.f64 x) 2)))) (+.f64 (.f64 1/16 (.f64 (pow.f64 y 2) (.f64 (sqrt.f64 2) (cos.f64 x)))) (.f64 257/1536 (.f64 (pow.f64 y 3) (.f64 (sqrt.f64 2) (*.f64 (sin.f64 x) (cos.f64 x))))))))))
(.f64 (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))) (.f64 (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x))) (*.f64 (sqrt.f64 2) (-.f64 (cos.f64 x) (cos.f64 y)))))
(.f64 (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))) (.f64 (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x))) (*.f64 (sqrt.f64 2) (-.f64 (cos.f64 x) (cos.f64 y)))))
(.f64 (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))) (.f64 (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x))) (*.f64 (sqrt.f64 2) (-.f64 (cos.f64 x) (cos.f64 y)))))
(.f64 (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))) (.f64 (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x))) (*.f64 (sqrt.f64 2) (-.f64 (cos.f64 x) (cos.f64 y)))))
(.f64 (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))) (.f64 (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x))) (*.f64 (sqrt.f64 2) (-.f64 (cos.f64 x) (cos.f64 y)))))
(.f64 (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))) (.f64 (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x))) (*.f64 (sqrt.f64 2) (-.f64 (cos.f64 x) (cos.f64 y)))))
(.f64 (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))) (.f64 (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x))) (*.f64 (sqrt.f64 2) (-.f64 (cos.f64 x) (cos.f64 y)))))
(.f64 (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))) (.f64 (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x))) (*.f64 (sqrt.f64 2) (-.f64 (cos.f64 x) (cos.f64 y)))))
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(.f64 1/3 (/.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 1 (+.f64 (.f64 2 (/.f64 (cos.f64 y) (+.f64 3 (sqrt.f64 5)))) (.f64 1/2 (.f64 (cos.f64 x) (sqrt.f64 5))))) (*.f64 1/2 (cos.f64 x)))))
(.f64 1/3 (/.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 1 (+.f64 (.f64 2 (/.f64 (cos.f64 y) (+.f64 3 (sqrt.f64 5)))) (.f64 1/2 (.f64 (cos.f64 x) (sqrt.f64 5))))) (*.f64 1/2 (cos.f64 x)))))
(.f64 1/3 (/.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 1 (+.f64 (.f64 2 (/.f64 (cos.f64 y) (+.f64 3 (sqrt.f64 5)))) (.f64 1/2 (.f64 (cos.f64 x) (sqrt.f64 5))))) (*.f64 1/2 (cos.f64 x)))))
(.f64 1/3 (/.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 1 (+.f64 (.f64 2 (/.f64 (cos.f64 y) (+.f64 3 (sqrt.f64 5)))) (.f64 1/2 (.f64 (cos.f64 x) (sqrt.f64 5))))) (*.f64 1/2 (cos.f64 x)))))
(.f64 1/3 (/.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 1 (+.f64 (.f64 2 (/.f64 (cos.f64 y) (+.f64 3 (sqrt.f64 5)))) (.f64 1/2 (.f64 (cos.f64 x) (sqrt.f64 5))))) (*.f64 1/2 (cos.f64 x)))))
(.f64 1/3 (/.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 1 (+.f64 (.f64 2 (/.f64 (cos.f64 y) (+.f64 3 (sqrt.f64 5)))) (.f64 1/2 (.f64 (cos.f64 x) (sqrt.f64 5))))) (*.f64 1/2 (cos.f64 x)))))
(.f64 1/3 (/.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 1 (+.f64 (.f64 2 (/.f64 (cos.f64 y) (+.f64 3 (sqrt.f64 5)))) (.f64 1/2 (.f64 (cos.f64 x) (sqrt.f64 5))))) (*.f64 1/2 (cos.f64 x)))))
(.f64 1/3 (/.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 1 (+.f64 (.f64 2 (/.f64 (cos.f64 y) (+.f64 3 (sqrt.f64 5)))) (.f64 1/2 (.f64 (cos.f64 x) (sqrt.f64 5))))) (*.f64 1/2 (cos.f64 x)))))
(*.f64 1/2 (-.f64 (sqrt.f64 5) 1))
(-.f64 (+.f64 (.f64 1/4 (pow.f64 x 2)) (.f64 1/2 (sqrt.f64 5))) (+.f64 1/2 (.f64 1/4 (.f64 (pow.f64 x 2) (sqrt.f64 5)))))
(-.f64 (+.f64 (.f64 1/4 (pow.f64 x 2)) (+.f64 (.f64 1/48 (.f64 (pow.f64 x 4) (sqrt.f64 5))) (.f64 1/2 (sqrt.f64 5)))) (+.f64 (.f64 1/48 (pow.f64 x 4)) (+.f64 1/2 (.f64 1/4 (*.f64 (pow.f64 x 2) (sqrt.f64 5))))))
(-.f64 (+.f64 (.f64 1/1440 (pow.f64 x 6)) (+.f64 (.f64 1/4 (pow.f64 x 2)) (+.f64 (.f64 1/48 (.f64 (pow.f64 x 4) (sqrt.f64 5))) (.f64 1/2 (sqrt.f64 5))))) (+.f64 (.f64 1/48 (pow.f64 x 4)) (+.f64 (.f64 1/1440 (.f64 (pow.f64 x 6) (sqrt.f64 5))) (+.f64 1/2 (.f64 1/4 (.f64 (pow.f64 x 2) (sqrt.f64 5)))))))
(.f64 1/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))
(.f64 1/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))
(.f64 1/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))
(.f64 1/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))
(.f64 1/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))
(.f64 1/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))
(.f64 1/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))
(.f64 1/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))

Outputs
(.f64 -1/16 (.f64 (pow.f64 (sin.f64 y) 2) (*.f64 (-.f64 1 (cos.f64 y)) (sqrt.f64 2))))
(.f64 (.f64 (-.f64 1 (cos.f64 y)) (sqrt.f64 2)) (*.f64 (pow.f64 (sin.f64 y) 2) -1/16))
(-.f64 (+.f64 (.f64 1/16 (.f64 (pow.f64 (sin.f64 y) 2) (.f64 (cos.f64 y) (sqrt.f64 2)))) (.f64 257/256 (.f64 (sin.f64 y) (.f64 (sqrt.f64 2) x)))) (+.f64 (.f64 1/16 (.f64 (pow.f64 (sin.f64 y) 2) (sqrt.f64 2))) (.f64 257/256 (.f64 (sin.f64 y) (.f64 (cos.f64 y) (.f64 (sqrt.f64 2) x))))))
(-.f64 (fma.f64 1/16 (.f64 (pow.f64 (sin.f64 y) 2) (.f64 (cos.f64 y) (sqrt.f64 2))) (.f64 (.f64 257/256 (sin.f64 y)) (.f64 (sqrt.f64 2) x))) (fma.f64 1/16 (.f64 (pow.f64 (sin.f64 y) 2) (sqrt.f64 2)) (.f64 (.f64 257/256 (sin.f64 y)) (.f64 (.f64 (cos.f64 y) (sqrt.f64 2)) x))))
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(/.f64 (.f64 1/3 (+.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 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 y))) (.f64 (sin.f64 y) (.f64 (.f64 (sqrt.f64 2) (.f64 (sin.f64 x) (cos.f64 x))) 257/256))) (fma.f64 1/16 (.f64 (pow.f64 (sin.f64 y) 2) (.f64 (sqrt.f64 2) (cos.f64 x))) (fma.f64 1/16 (.f64 (sqrt.f64 2) (.f64 (cos.f64 x) (pow.f64 (sin.f64 x) 2))) (.f64 (.f64 (sqrt.f64 2) (.f64 (sin.f64 x) (cos.f64 y))) (.f64 (sin.f64 y) 257/256))))))) (+.f64 1 (+.f64 (fma.f64 1/2 (.f64 (cos.f64 x) (sqrt.f64 5)) (/.f64 (.f64 2 (cos.f64 y)) (+.f64 3 (sqrt.f64 5)))) (.f64 (cos.f64 x) -1/2))))
(.f64 1/3 (/.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 1 (+.f64 (.f64 2 (/.f64 (cos.f64 y) (+.f64 3 (sqrt.f64 5)))) (.f64 1/2 (.f64 (cos.f64 x) (sqrt.f64 5))))) (*.f64 1/2 (cos.f64 x)))))
(.f64 1/3 (/.f64 (-.f64 (+.f64 (fma.f64 1/16 (.f64 (pow.f64 (sin.f64 y) 2) (.f64 (cos.f64 y) (sqrt.f64 2))) 2) (fma.f64 1/16 (.f64 (cos.f64 y) (.f64 (sqrt.f64 2) (pow.f64 (sin.f64 x) 2))) (.f64 257/256 (.f64 (.f64 (sin.f64 y) (sqrt.f64 2)) (.f64 (sin.f64 x) (cos.f64 x)))))) (fma.f64 1/16 (.f64 (pow.f64 (sin.f64 y) 2) (.f64 (sqrt.f64 2) (cos.f64 x))) (fma.f64 257/256 (.f64 (sin.f64 y) (.f64 (cos.f64 y) (.f64 (sqrt.f64 2) (sin.f64 x)))) (.f64 (.f64 1/16 (sqrt.f64 2)) (.f64 (cos.f64 x) (pow.f64 (sin.f64 x) 2)))))) (+.f64 1 (-.f64 (fma.f64 2 (/.f64 (cos.f64 y) (+.f64 3 (sqrt.f64 5))) (.f64 (.f64 (cos.f64 x) 1/2) (sqrt.f64 5))) (.f64 (cos.f64 x) 1/2)))))
(/.f64 (.f64 1/3 (+.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 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 y))) (.f64 (sin.f64 y) (.f64 (.f64 (sqrt.f64 2) (.f64 (sin.f64 x) (cos.f64 x))) 257/256))) (fma.f64 1/16 (.f64 (pow.f64 (sin.f64 y) 2) (.f64 (sqrt.f64 2) (cos.f64 x))) (fma.f64 1/16 (.f64 (sqrt.f64 2) (.f64 (cos.f64 x) (pow.f64 (sin.f64 x) 2))) (.f64 (.f64 (sqrt.f64 2) (.f64 (sin.f64 x) (cos.f64 y))) (.f64 (sin.f64 y) 257/256))))))) (+.f64 1 (+.f64 (fma.f64 1/2 (.f64 (cos.f64 x) (sqrt.f64 5)) (/.f64 (.f64 2 (cos.f64 y)) (+.f64 3 (sqrt.f64 5)))) (.f64 (cos.f64 x) -1/2))))
(.f64 1/3 (/.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 1 (+.f64 (.f64 2 (/.f64 (cos.f64 y) (+.f64 3 (sqrt.f64 5)))) (.f64 1/2 (.f64 (cos.f64 x) (sqrt.f64 5))))) (*.f64 1/2 (cos.f64 x)))))
(.f64 1/3 (/.f64 (-.f64 (+.f64 (fma.f64 1/16 (.f64 (pow.f64 (sin.f64 y) 2) (.f64 (cos.f64 y) (sqrt.f64 2))) 2) (fma.f64 1/16 (.f64 (cos.f64 y) (.f64 (sqrt.f64 2) (pow.f64 (sin.f64 x) 2))) (.f64 257/256 (.f64 (.f64 (sin.f64 y) (sqrt.f64 2)) (.f64 (sin.f64 x) (cos.f64 x)))))) (fma.f64 1/16 (.f64 (pow.f64 (sin.f64 y) 2) (.f64 (sqrt.f64 2) (cos.f64 x))) (fma.f64 257/256 (.f64 (sin.f64 y) (.f64 (cos.f64 y) (.f64 (sqrt.f64 2) (sin.f64 x)))) (.f64 (.f64 1/16 (sqrt.f64 2)) (.f64 (cos.f64 x) (pow.f64 (sin.f64 x) 2)))))) (+.f64 1 (-.f64 (fma.f64 2 (/.f64 (cos.f64 y) (+.f64 3 (sqrt.f64 5))) (.f64 (.f64 (cos.f64 x) 1/2) (sqrt.f64 5))) (.f64 (cos.f64 x) 1/2)))))
(/.f64 (.f64 1/3 (+.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 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 y))) (.f64 (sin.f64 y) (.f64 (.f64 (sqrt.f64 2) (.f64 (sin.f64 x) (cos.f64 x))) 257/256))) (fma.f64 1/16 (.f64 (pow.f64 (sin.f64 y) 2) (.f64 (sqrt.f64 2) (cos.f64 x))) (fma.f64 1/16 (.f64 (sqrt.f64 2) (.f64 (cos.f64 x) (pow.f64 (sin.f64 x) 2))) (.f64 (.f64 (sqrt.f64 2) (.f64 (sin.f64 x) (cos.f64 y))) (.f64 (sin.f64 y) 257/256))))))) (+.f64 1 (+.f64 (fma.f64 1/2 (.f64 (cos.f64 x) (sqrt.f64 5)) (/.f64 (.f64 2 (cos.f64 y)) (+.f64 3 (sqrt.f64 5)))) (.f64 (cos.f64 x) -1/2))))
(*.f64 1/2 (-.f64 (sqrt.f64 5) 1))
(*.f64 1/2 (+.f64 (sqrt.f64 5) -1))
(+.f64 (*.f64 1/2 (sqrt.f64 5)) -1/2)
(-.f64 (+.f64 (.f64 1/4 (pow.f64 x 2)) (.f64 1/2 (sqrt.f64 5))) (+.f64 1/2 (.f64 1/4 (.f64 (pow.f64 x 2) (sqrt.f64 5)))))
(-.f64 (fma.f64 1/4 (.f64 x x) (.f64 1/2 (sqrt.f64 5))) (+.f64 1/2 (.f64 (.f64 (*.f64 x x) (sqrt.f64 5)) 1/4)))
(-.f64 (fma.f64 (.f64 x x) 1/4 (.f64 1/2 (sqrt.f64 5))) (fma.f64 (.f64 (.f64 x x) (sqrt.f64 5)) 1/4 1/2))
(-.f64 (+.f64 (.f64 1/4 (pow.f64 x 2)) (+.f64 (.f64 1/48 (.f64 (pow.f64 x 4) (sqrt.f64 5))) (.f64 1/2 (sqrt.f64 5)))) (+.f64 (.f64 1/48 (pow.f64 x 4)) (+.f64 1/2 (.f64 1/4 (*.f64 (pow.f64 x 2) (sqrt.f64 5))))))
(-.f64 (fma.f64 1/4 (.f64 x x) (fma.f64 1/48 (.f64 (sqrt.f64 5) (pow.f64 x 4)) (.f64 1/2 (sqrt.f64 5)))) (fma.f64 1/48 (pow.f64 x 4) (+.f64 1/2 (.f64 (.f64 (.f64 x x) (sqrt.f64 5)) 1/4))))
(-.f64 (fma.f64 (.f64 x x) 1/4 (.f64 (sqrt.f64 5) (fma.f64 1/48 (pow.f64 x 4) 1/2))) (fma.f64 1/48 (pow.f64 x 4) (fma.f64 (.f64 (.f64 x x) (sqrt.f64 5)) 1/4 1/2)))
(-.f64 (+.f64 (.f64 1/1440 (pow.f64 x 6)) (+.f64 (.f64 1/4 (pow.f64 x 2)) (+.f64 (.f64 1/48 (.f64 (pow.f64 x 4) (sqrt.f64 5))) (.f64 1/2 (sqrt.f64 5))))) (+.f64 (.f64 1/48 (pow.f64 x 4)) (+.f64 (.f64 1/1440 (.f64 (pow.f64 x 6) (sqrt.f64 5))) (+.f64 1/2 (.f64 1/4 (.f64 (pow.f64 x 2) (sqrt.f64 5)))))))
(-.f64 (fma.f64 1/1440 (pow.f64 x 6) (fma.f64 1/4 (.f64 x x) (fma.f64 1/48 (.f64 (sqrt.f64 5) (pow.f64 x 4)) (.f64 1/2 (sqrt.f64 5))))) (fma.f64 1/48 (pow.f64 x 4) (fma.f64 1/1440 (.f64 (sqrt.f64 5) (pow.f64 x 6)) (+.f64 1/2 (.f64 (.f64 (*.f64 x x) (sqrt.f64 5)) 1/4)))))
(-.f64 (fma.f64 1/1440 (pow.f64 x 6) (fma.f64 (.f64 x x) 1/4 (.f64 (sqrt.f64 5) (fma.f64 1/48 (pow.f64 x 4) 1/2)))) (fma.f64 1/48 (pow.f64 x 4) (fma.f64 1/1440 (.f64 (sqrt.f64 5) (pow.f64 x 6)) (fma.f64 (.f64 (*.f64 x x) (sqrt.f64 5)) 1/4 1/2))))
(.f64 1/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))
(.f64 1/2 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)))
(.f64 (cos.f64 x) (+.f64 (.f64 1/2 (sqrt.f64 5)) -1/2))
(.f64 1/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))
(.f64 1/2 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)))
(.f64 (cos.f64 x) (+.f64 (.f64 1/2 (sqrt.f64 5)) -1/2))
(.f64 1/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))
(.f64 1/2 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)))
(.f64 (cos.f64 x) (+.f64 (.f64 1/2 (sqrt.f64 5)) -1/2))
(.f64 1/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))
(.f64 1/2 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)))
(.f64 (cos.f64 x) (+.f64 (.f64 1/2 (sqrt.f64 5)) -1/2))
(.f64 1/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))
(.f64 1/2 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)))
(.f64 (cos.f64 x) (+.f64 (.f64 1/2 (sqrt.f64 5)) -1/2))
(.f64 1/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))
(.f64 1/2 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)))
(.f64 (cos.f64 x) (+.f64 (.f64 1/2 (sqrt.f64 5)) -1/2))
(.f64 1/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))
(.f64 1/2 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)))
(.f64 (cos.f64 x) (+.f64 (.f64 1/2 (sqrt.f64 5)) -1/2))
(.f64 1/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))
(.f64 1/2 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)))
(.f64 (cos.f64 x) (+.f64 (.f64 1/2 (sqrt.f64 5)) -1/2))

prune684.0ms (4.7%)

Pruning

15 alts after pruning (14 fresh and 1 done)

	Pruned	Kept	Total
New	108	8	116
Fresh	3	6	9
Picked	0	1	1
Done	0	0	0
Total	111	15	126

Error

0.0b

Counts

126 → 15

Alt Table

Status	Error	Program
	28.2b	(-.f64 (+.f64 (.f64 257/768 (/.f64 (.f64 (sin.f64 y) (.f64 (sqrt.f64 2) x)) (+.f64 1/2 (+.f64 (.f64 2 (/.f64 (cos.f64 y) (+.f64 3 (sqrt.f64 5)))) (.f64 1/2 (sqrt.f64 5)))))) (+.f64 (.f64 2/3 (/.f64 1 (+.f64 1/2 (+.f64 (.f64 2 (/.f64 (cos.f64 y) (+.f64 3 (sqrt.f64 5)))) (.f64 1/2 (sqrt.f64 5)))))) (.f64 1/48 (/.f64 (.f64 (pow.f64 (sin.f64 y) 2) (.f64 (cos.f64 y) (sqrt.f64 2))) (+.f64 1/2 (+.f64 (.f64 2 (/.f64 (cos.f64 y) (+.f64 3 (sqrt.f64 5)))) (.f64 1/2 (sqrt.f64 5)))))))) (+.f64 (.f64 257/768 (/.f64 (.f64 (sin.f64 y) (.f64 (cos.f64 y) (.f64 (sqrt.f64 2) x))) (+.f64 1/2 (+.f64 (.f64 2 (/.f64 (cos.f64 y) (+.f64 3 (sqrt.f64 5)))) (.f64 1/2 (sqrt.f64 5)))))) (.f64 1/48 (/.f64 (.f64 (pow.f64 (sin.f64 y) 2) (sqrt.f64 2)) (+.f64 1/2 (+.f64 (.f64 2 (/.f64 (cos.f64 y) (+.f64 3 (sqrt.f64 5)))) (*.f64 1/2 (sqrt.f64 5))))))))
	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)))
	0.5b	(log.f64 (exp.f64 (/.f64 (/.f64 (+.f64 2 (.f64 (.f64 (-.f64 (sin.f64 y) (.f64 (sin.f64 x) 1/16)) (-.f64 (cos.f64 x) (cos.f64 y))) (.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16))))) 3) (+.f64 (+.f64 1 (.f64 (cos.f64 x) (-.f64 (/.f64 (sqrt.f64 5) 2) 1/2))) (.f64 (cos.f64 y) (.f64 (/.f64 4 (+.f64 3 (sqrt.f64 5))) 1/2))))))
	30.5b	(-.f64 (+.f64 (fma.f64 2/3 (.f64 (/.f64 y (+.f64 3 (sqrt.f64 5))) (/.f64 y (pow.f64 (+.f64 (fma.f64 1/2 (.f64 (cos.f64 x) (sqrt.f64 5)) (/.f64 2 (+.f64 3 (sqrt.f64 5)))) (-.f64 1 (.f64 (cos.f64 x) 1/2))) 2))) (/.f64 2/3 (+.f64 (fma.f64 1/2 (.f64 (cos.f64 x) (sqrt.f64 5)) (/.f64 2 (+.f64 3 (sqrt.f64 5)))) (-.f64 1 (.f64 (cos.f64 x) 1/2))))) (fma.f64 1/48 (.f64 (.f64 (/.f64 y (+.f64 3 (sqrt.f64 5))) (/.f64 y (pow.f64 (+.f64 (fma.f64 1/2 (.f64 (cos.f64 x) (sqrt.f64 5)) (/.f64 2 (+.f64 3 (sqrt.f64 5)))) (-.f64 1 (.f64 (cos.f64 x) 1/2))) 2))) (.f64 (sqrt.f64 2) (pow.f64 (sin.f64 x) 2))) (fma.f64 1/48 (/.f64 (.f64 y (.f64 y (sqrt.f64 2))) (+.f64 (fma.f64 1/2 (.f64 (cos.f64 x) (sqrt.f64 5)) (/.f64 2 (+.f64 3 (sqrt.f64 5)))) (-.f64 1 (.f64 (cos.f64 x) 1/2)))) (fma.f64 257/768 (/.f64 y (/.f64 (+.f64 (fma.f64 1/2 (.f64 (cos.f64 x) (sqrt.f64 5)) (/.f64 2 (+.f64 3 (sqrt.f64 5)))) (-.f64 1 (.f64 (cos.f64 x) 1/2))) (.f64 (sqrt.f64 2) (.f64 (sin.f64 x) (cos.f64 x))))) (/.f64 (.f64 (.f64 1/48 (sqrt.f64 2)) (pow.f64 (sin.f64 x) 2)) (+.f64 (fma.f64 1/2 (.f64 (cos.f64 x) (sqrt.f64 5)) (/.f64 2 (+.f64 3 (sqrt.f64 5)))) (-.f64 1 (.f64 (cos.f64 x) 1/2)))))))) (fma.f64 1/48 (.f64 (.f64 (/.f64 y (+.f64 3 (sqrt.f64 5))) (/.f64 y (pow.f64 (+.f64 (fma.f64 1/2 (.f64 (cos.f64 x) (sqrt.f64 5)) (/.f64 2 (+.f64 3 (sqrt.f64 5)))) (-.f64 1 (.f64 (cos.f64 x) 1/2))) 2))) (.f64 (sqrt.f64 2) (.f64 (cos.f64 x) (pow.f64 (sin.f64 x) 2)))) (fma.f64 1/48 (/.f64 (.f64 (sqrt.f64 2) (.f64 (.f64 y y) (cos.f64 x))) (+.f64 (fma.f64 1/2 (.f64 (cos.f64 x) (sqrt.f64 5)) (/.f64 2 (+.f64 3 (sqrt.f64 5)))) (-.f64 1 (.f64 (cos.f64 x) 1/2)))) (fma.f64 1/96 (/.f64 (.f64 y (.f64 y (.f64 (sqrt.f64 2) (pow.f64 (sin.f64 x) 2)))) (+.f64 (fma.f64 1/2 (.f64 (cos.f64 x) (sqrt.f64 5)) (/.f64 2 (+.f64 3 (sqrt.f64 5)))) (-.f64 1 (.f64 (cos.f64 x) 1/2)))) (fma.f64 257/768 (/.f64 (.f64 (sin.f64 x) (.f64 (sqrt.f64 2) y)) (+.f64 (fma.f64 1/2 (.f64 (cos.f64 x) (sqrt.f64 5)) (/.f64 2 (+.f64 3 (sqrt.f64 5)))) (-.f64 1 (.f64 (cos.f64 x) 1/2)))) (/.f64 (.f64 1/48 (.f64 (sqrt.f64 2) (.f64 (cos.f64 x) (pow.f64 (sin.f64 x) 2)))) (+.f64 (fma.f64 1/2 (.f64 (cos.f64 x) (sqrt.f64 5)) (/.f64 2 (+.f64 3 (sqrt.f64 5)))) (-.f64 1 (*.f64 (cos.f64 x) 1/2)))))))))
	0.5b	(/.f64 (.f64 1/3 (+.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 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 y))) (.f64 (sin.f64 y) (.f64 (.f64 (sqrt.f64 2) (.f64 (sin.f64 x) (cos.f64 x))) 257/256))) (fma.f64 1/16 (.f64 (pow.f64 (sin.f64 y) 2) (.f64 (sqrt.f64 2) (cos.f64 x))) (fma.f64 1/16 (.f64 (sqrt.f64 2) (.f64 (cos.f64 x) (pow.f64 (sin.f64 x) 2))) (.f64 (.f64 (sqrt.f64 2) (.f64 (sin.f64 x) (cos.f64 y))) (.f64 (sin.f64 y) 257/256))))))) (+.f64 1 (+.f64 (fma.f64 1/2 (.f64 (cos.f64 x) (sqrt.f64 5)) (/.f64 (.f64 2 (cos.f64 y)) (+.f64 3 (sqrt.f64 5)))) (.f64 (cos.f64 x) -1/2))))
	7.5b	(/.f64 (+.f64 2 (.f64 (.f64 (-.f64 (exp.f64 (log1p.f64 (.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16))))) 1) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (*.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
	0.5b	(.f64 1/3 (/.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 1 (+.f64 (.f64 2 (/.f64 (cos.f64 y) (+.f64 3 (sqrt.f64 5)))) (.f64 1/2 (.f64 (cos.f64 x) (sqrt.f64 5))))) (*.f64 1/2 (cos.f64 x)))))
	0.4b	(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (log.f64 (exp.f64 (-.f64 3 (sqrt.f64 5)))) 2) (cos.f64 y)))))
▶	0.3b	(/.f64 (+.f64 2 (cbrt.f64 (pow.f64 (.f64 (.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16))) (.f64 (-.f64 (sin.f64 y) (.f64 (sin.f64 x) 1/16)) (-.f64 (cos.f64 x) (cos.f64 y)))) 3))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (/.f64 4 (+.f64 3 (sqrt.f64 5))) 2) (cos.f64 y)))))
✓	0.3b	(/.f64 (+.f64 2 (log.f64 (pow.f64 (pow.f64 (exp.f64 (sqrt.f64 2)) (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16))) (.f64 (-.f64 (sin.f64 y) (.f64 (sin.f64 x) 1/16)) (-.f64 (cos.f64 x) (cos.f64 y)))))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (/.f64 4 (+.f64 3 (sqrt.f64 5))) 2) (cos.f64 y)))))
	0.4b	(/.f64 (+.f64 2 (.f64 (pow.f64 (cbrt.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16)) (-.f64 (sin.f64 y) (.f64 (sin.f64 x) 1/16))))) 3) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
	0.6b	(/.f64 (+.f64 2 (-.f64 (exp.f64 (log1p.f64 (.f64 (.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16))) (.f64 (-.f64 (sin.f64 y) (.f64 (sin.f64 x) 1/16)) (-.f64 (cos.f64 x) (cos.f64 y)))))) 1)) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (/.f64 4 (+.f64 3 (sqrt.f64 5))) 2) (cos.f64 y)))))
	0.5b	(expm1.f64 (log1p.f64 (/.f64 (/.f64 (+.f64 2 (.f64 (.f64 (-.f64 (sin.f64 y) (.f64 (sin.f64 x) 1/16)) (-.f64 (cos.f64 x) (cos.f64 y))) (.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16))))) 3) (+.f64 (+.f64 1 (.f64 (cos.f64 x) (-.f64 (/.f64 (sqrt.f64 5) 2) 1/2))) (.f64 (cos.f64 y) (.f64 (/.f64 4 (+.f64 3 (sqrt.f64 5))) 1/2))))))
	1.4b	(.f64 (.f64 (cbrt.f64 (/.f64 (/.f64 (+.f64 2 (.f64 (.f64 (-.f64 (sin.f64 y) (.f64 (sin.f64 x) 1/16)) (-.f64 (cos.f64 x) (cos.f64 y))) (.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16))))) 3) (+.f64 (+.f64 1 (.f64 (cos.f64 x) (-.f64 (/.f64 (sqrt.f64 5) 2) 1/2))) (.f64 (cos.f64 y) (.f64 (/.f64 4 (+.f64 3 (sqrt.f64 5))) 1/2))))) (cbrt.f64 (/.f64 (/.f64 (+.f64 2 (.f64 (.f64 (-.f64 (sin.f64 y) (.f64 (sin.f64 x) 1/16)) (-.f64 (cos.f64 x) (cos.f64 y))) (.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16))))) 3) (+.f64 (+.f64 1 (.f64 (cos.f64 x) (-.f64 (/.f64 (sqrt.f64 5) 2) 1/2))) (.f64 (cos.f64 y) (.f64 (/.f64 4 (+.f64 3 (sqrt.f64 5))) 1/2)))))) (cbrt.f64 (/.f64 (/.f64 (+.f64 2 (.f64 (.f64 (-.f64 (sin.f64 y) (.f64 (sin.f64 x) 1/16)) (-.f64 (cos.f64 x) (cos.f64 y))) (.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16))))) 3) (+.f64 (+.f64 1 (.f64 (cos.f64 x) (-.f64 (/.f64 (sqrt.f64 5) 2) 1/2))) (.f64 (cos.f64 y) (.f64 (/.f64 4 (+.f64 3 (sqrt.f64 5))) 1/2))))))
	0.4b	(.f64 1 (/.f64 (/.f64 (+.f64 2 (.f64 (.f64 (-.f64 (sin.f64 y) (.f64 (sin.f64 x) 1/16)) (-.f64 (cos.f64 x) (cos.f64 y))) (.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16))))) 3) (+.f64 (+.f64 1 (.f64 (cos.f64 x) (-.f64 (/.f64 (sqrt.f64 5) 2) 1/2))) (.f64 (cos.f64 y) (*.f64 (/.f64 4 (+.f64 3 (sqrt.f64 5))) 1/2)))))

Compiler

Compiled 14348 to 10701 computations (25.4% saved)

localize37.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16)))
✓	0.5b	(cbrt.f64 (pow.f64 (.f64 (.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16))) (.f64 (-.f64 (sin.f64 y) (*.f64 (sin.f64 x) 1/16)) (-.f64 (cos.f64 x) (cos.f64 y)))) 3))
✓	0.5b	(pow.f64 (.f64 (.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16))) (.f64 (-.f64 (sin.f64 y) (*.f64 (sin.f64 x) 1/16)) (-.f64 (cos.f64 x) (cos.f64 y)))) 3)
	1.2b	(-.f64 (cos.f64 x) (cos.f64 y))

series31.0ms (0.2%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
7.0ms	y	@	0	(pow.f64 (.f64 (.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16))) (.f64 (-.f64 (sin.f64 y) (*.f64 (sin.f64 x) 1/16)) (-.f64 (cos.f64 x) (cos.f64 y)))) 3)
7.0ms	x	@	0	(pow.f64 (.f64 (.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16))) (.f64 (-.f64 (sin.f64 y) (*.f64 (sin.f64 x) 1/16)) (-.f64 (cos.f64 x) (cos.f64 y)))) 3)
6.0ms	y	@	inf	(pow.f64 (.f64 (.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16))) (.f64 (-.f64 (sin.f64 y) (*.f64 (sin.f64 x) 1/16)) (-.f64 (cos.f64 x) (cos.f64 y)))) 3)
2.0ms	x	@	-inf	(pow.f64 (.f64 (.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16))) (.f64 (-.f64 (sin.f64 y) (*.f64 (sin.f64 x) 1/16)) (-.f64 (cos.f64 x) (cos.f64 y)))) 3)
2.0ms	x	@	inf	(pow.f64 (.f64 (.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16))) (.f64 (-.f64 (sin.f64 y) (*.f64 (sin.f64 x) 1/16)) (-.f64 (cos.f64 x) (cos.f64 y)))) 3)

rewrite44.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

237×	`add-sqr-sqrt_binary64`
230×	`pow1_binary64`
229×	`*-un-lft-identity_binary64`
225×	`add-log-exp_binary64`
225×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	97
1	479	97

Stop Event

1×	node limit

Counts

3 → 53

Calls

Call 1

Inputs

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

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

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

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (*.f64 (sin.f64 y) 1/16))) (-.f64 (sin.f64 y) (*.f64 (sin.f64 x) 1/16))) (-.f64 (cos.f64 x) (cos.f64 y))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 2) (*.f64 (-.f64 (sin.f64 x) (*.f64 (sin.f64 y) 1/16)) (*.f64 (-.f64 (sin.f64 y) (*.f64 (sin.f64 x) 1/16)) (-.f64 (cos.f64 x) (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (*.f64 (sin.f64 y) 1/16))) (*.f64 (-.f64 (sin.f64 y) (*.f64 (sin.f64 x) 1/16)) (-.f64 (cos.f64 x) (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 (sin.f64 y) (*.f64 (sin.f64 x) 1/16)) (-.f64 (cos.f64 x) (cos.f64 y))) (*.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (*.f64 (sin.f64 y) 1/16))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (*.f64 (*.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (*.f64 (sin.f64 y) 1/16))) (-.f64 (sin.f64 y) (*.f64 (sin.f64 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y)))))))))

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

simplify85.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

737×	`associate-l_binary64`
667×	`fma-def_binary64`
402×	`associate-+r+_binary64`
261×	`associate-+l+_binary64`
207×	`*-commutative_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	404	5065
1	1445	5001

Stop Event

1×	node limit

Counts

125 → 106

Calls

Call 1

Inputs
(.f64 -1/4096 (.f64 (pow.f64 (-.f64 1 (cos.f64 y)) 3) (*.f64 (pow.f64 (sin.f64 y) 6) (pow.f64 (sqrt.f64 2) 3))))
(-.f64 (+.f64 (.f64 771/65536 (.f64 (pow.f64 (sin.f64 y) 5) (.f64 (pow.f64 (sqrt.f64 2) 3) x))) (+.f64 (.f64 3/4096 (.f64 (pow.f64 (sin.f64 y) 6) (.f64 (cos.f64 y) (pow.f64 (sqrt.f64 2) 3)))) (+.f64 (.f64 2313/65536 (.f64 (pow.f64 (sin.f64 y) 5) (.f64 (pow.f64 (cos.f64 y) 2) (.f64 (pow.f64 (sqrt.f64 2) 3) x)))) (.f64 1/4096 (.f64 (pow.f64 (sin.f64 y) 6) (.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 (sqrt.f64 2) 3))))))) (+.f64 (.f64 2313/65536 (.f64 (pow.f64 (sin.f64 y) 5) (.f64 (cos.f64 y) (.f64 (pow.f64 (sqrt.f64 2) 3) x)))) (+.f64 (.f64 3/4096 (.f64 (pow.f64 (sin.f64 y) 6) (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 (sqrt.f64 2) 3)))) (+.f64 (.f64 1/4096 (.f64 (pow.f64 (sin.f64 y) 6) (pow.f64 (sqrt.f64 2) 3))) (.f64 771/65536 (.f64 (pow.f64 (sin.f64 y) 5) (.f64 (pow.f64 (cos.f64 y) 3) (.f64 (pow.f64 (sqrt.f64 2) 3) x))))))))
(-.f64 (+.f64 (.f64 3/4096 (.f64 (pow.f64 (sin.f64 y) 6) (.f64 (cos.f64 y) (pow.f64 (sqrt.f64 2) 3)))) (+.f64 (.f64 1/4096 (.f64 (pow.f64 (sin.f64 y) 6) (.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 (sqrt.f64 2) 3)))) (+.f64 (.f64 2313/65536 (.f64 (pow.f64 (sin.f64 y) 5) (.f64 (pow.f64 (cos.f64 y) 2) (.f64 (pow.f64 (sqrt.f64 2) 3) x)))) (+.f64 (.f64 3/8192 (.f64 (pow.f64 (sin.f64 y) 6) (.f64 (pow.f64 (sqrt.f64 2) 3) (pow.f64 x 2)))) (+.f64 (.f64 596745/1048576 (.f64 (pow.f64 (sin.f64 y) 4) (.f64 (cos.f64 y) (.f64 (pow.f64 (sqrt.f64 2) 3) (pow.f64 x 2))))) (+.f64 (.f64 3/8192 (.f64 (pow.f64 (sin.f64 y) 6) (.f64 (pow.f64 (cos.f64 y) 2) (.f64 (pow.f64 (sqrt.f64 2) 3) (pow.f64 x 2))))) (+.f64 (.f64 771/65536 (.f64 (pow.f64 (sin.f64 y) 5) (.f64 (pow.f64 (sqrt.f64 2) 3) x))) (.f64 198915/1048576 (.f64 (pow.f64 (sin.f64 y) 4) (.f64 (pow.f64 (cos.f64 y) 3) (.f64 (pow.f64 (sqrt.f64 2) 3) (pow.f64 x 2)))))))))))) (+.f64 (.f64 3/4096 (.f64 (pow.f64 (sin.f64 y) 6) (.f64 (cos.f64 y) (.f64 (pow.f64 (sqrt.f64 2) 3) (pow.f64 x 2))))) (+.f64 (.f64 1/4096 (.f64 (pow.f64 (sin.f64 y) 6) (pow.f64 (sqrt.f64 2) 3))) (+.f64 (.f64 198915/1048576 (.f64 (pow.f64 (sin.f64 y) 4) (.f64 (pow.f64 (sqrt.f64 2) 3) (pow.f64 x 2)))) (+.f64 (.f64 771/65536 (.f64 (pow.f64 (sin.f64 y) 5) (.f64 (pow.f64 (cos.f64 y) 3) (.f64 (pow.f64 (sqrt.f64 2) 3) x)))) (+.f64 (.f64 2313/65536 (.f64 (pow.f64 (sin.f64 y) 5) (.f64 (cos.f64 y) (.f64 (pow.f64 (sqrt.f64 2) 3) x)))) (+.f64 (.f64 3/4096 (.f64 (pow.f64 (sin.f64 y) 6) (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 (sqrt.f64 2) 3)))) (.f64 596745/1048576 (.f64 (pow.f64 (sin.f64 y) 4) (.f64 (pow.f64 (cos.f64 y) 2) (.f64 (pow.f64 (sqrt.f64 2) 3) (pow.f64 x 2))))))))))))
(-.f64 (+.f64 (.f64 52108035/16777216 (.f64 (pow.f64 (sin.f64 y) 3) (.f64 (pow.f64 (cos.f64 y) 2) (.f64 (pow.f64 (sqrt.f64 2) 3) (pow.f64 x 3))))) (+.f64 (.f64 257/131072 (.f64 (pow.f64 (sin.f64 y) 5) (.f64 (pow.f64 (cos.f64 y) 3) (.f64 (pow.f64 (sqrt.f64 2) 3) (pow.f64 x 3))))) (+.f64 (.f64 3/8192 (.f64 (pow.f64 (sin.f64 y) 6) (.f64 (pow.f64 (sqrt.f64 2) 3) (pow.f64 x 2)))) (+.f64 (.f64 17369345/16777216 (.f64 (pow.f64 (sin.f64 y) 3) (.f64 (pow.f64 (sqrt.f64 2) 3) (pow.f64 x 3)))) (+.f64 (.f64 198915/1048576 (.f64 (pow.f64 (sin.f64 y) 4) (.f64 (pow.f64 (cos.f64 y) 3) (.f64 (pow.f64 (sqrt.f64 2) 3) (pow.f64 x 2))))) (+.f64 (.f64 3/4096 (.f64 (pow.f64 (sin.f64 y) 6) (.f64 (cos.f64 y) (pow.f64 (sqrt.f64 2) 3)))) (+.f64 (.f64 1/4096 (.f64 (pow.f64 (sin.f64 y) 6) (.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 (sqrt.f64 2) 3)))) (+.f64 (.f64 2313/65536 (.f64 (pow.f64 (sin.f64 y) 5) (.f64 (pow.f64 (cos.f64 y) 2) (.f64 (pow.f64 (sqrt.f64 2) 3) x)))) (+.f64 (.f64 596745/1048576 (.f64 (pow.f64 (sin.f64 y) 4) (.f64 (cos.f64 y) (.f64 (pow.f64 (sqrt.f64 2) 3) (pow.f64 x 2))))) (+.f64 (.f64 3/8192 (.f64 (pow.f64 (sin.f64 y) 6) (.f64 (pow.f64 (cos.f64 y) 2) (.f64 (pow.f64 (sqrt.f64 2) 3) (pow.f64 x 2))))) (+.f64 (.f64 771/65536 (.f64 (pow.f64 (sin.f64 y) 5) (.f64 (pow.f64 (sqrt.f64 2) 3) x))) (.f64 5397/131072 (.f64 (pow.f64 (sin.f64 y) 5) (.f64 (cos.f64 y) (.f64 (pow.f64 (sqrt.f64 2) 3) (pow.f64 x 3)))))))))))))))) (+.f64 (.f64 1/4096 (.f64 (pow.f64 (sin.f64 y) 6) (pow.f64 (sqrt.f64 2) 3))) (+.f64 (.f64 3/4096 (.f64 (pow.f64 (sin.f64 y) 6) (.f64 (cos.f64 y) (.f64 (pow.f64 (sqrt.f64 2) 3) (pow.f64 x 2))))) (+.f64 (.f64 771/65536 (.f64 (pow.f64 (sin.f64 y) 5) (.f64 (pow.f64 (cos.f64 y) 3) (.f64 (pow.f64 (sqrt.f64 2) 3) x)))) (+.f64 (.f64 1285/65536 (.f64 (pow.f64 (sin.f64 y) 5) (.f64 (pow.f64 (sqrt.f64 2) 3) (pow.f64 x 3)))) (+.f64 (.f64 771/32768 (.f64 (pow.f64 (sin.f64 y) 5) (.f64 (pow.f64 (cos.f64 y) 2) (.f64 (pow.f64 (sqrt.f64 2) 3) (pow.f64 x 3))))) (+.f64 (.f64 198915/1048576 (.f64 (pow.f64 (sin.f64 y) 4) (.f64 (pow.f64 (sqrt.f64 2) 3) (pow.f64 x 2)))) (+.f64 (.f64 2313/65536 (.f64 (pow.f64 (sin.f64 y) 5) (.f64 (cos.f64 y) (.f64 (pow.f64 (sqrt.f64 2) 3) x)))) (+.f64 (.f64 3/4096 (.f64 (pow.f64 (sin.f64 y) 6) (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 (sqrt.f64 2) 3)))) (+.f64 (.f64 596745/1048576 (.f64 (pow.f64 (sin.f64 y) 4) (.f64 (pow.f64 (cos.f64 y) 2) (.f64 (pow.f64 (sqrt.f64 2) 3) (pow.f64 x 2))))) (+.f64 (.f64 17369345/16777216 (.f64 (pow.f64 (sin.f64 y) 3) (.f64 (pow.f64 (cos.f64 y) 3) (.f64 (pow.f64 (sqrt.f64 2) 3) (pow.f64 x 3))))) (.f64 52108035/16777216 (.f64 (pow.f64 (sin.f64 y) 3) (.f64 (cos.f64 y) (.f64 (pow.f64 (sqrt.f64 2) 3) (pow.f64 x 3))))))))))))))))
(.f64 (pow.f64 (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))) 3) (.f64 (pow.f64 (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x))) 3) (*.f64 (pow.f64 (sqrt.f64 2) 3) (pow.f64 (-.f64 (cos.f64 x) (cos.f64 y)) 3))))
(.f64 (pow.f64 (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))) 3) (.f64 (pow.f64 (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x))) 3) (*.f64 (pow.f64 (sqrt.f64 2) 3) (pow.f64 (-.f64 (cos.f64 x) (cos.f64 y)) 3))))
(.f64 (pow.f64 (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))) 3) (.f64 (pow.f64 (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x))) 3) (*.f64 (pow.f64 (sqrt.f64 2) 3) (pow.f64 (-.f64 (cos.f64 x) (cos.f64 y)) 3))))
(.f64 (pow.f64 (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))) 3) (.f64 (pow.f64 (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x))) 3) (*.f64 (pow.f64 (sqrt.f64 2) 3) (pow.f64 (-.f64 (cos.f64 x) (cos.f64 y)) 3))))
(.f64 (pow.f64 (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))) 3) (.f64 (pow.f64 (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x))) 3) (*.f64 (pow.f64 (sqrt.f64 2) 3) (pow.f64 (-.f64 (cos.f64 x) (cos.f64 y)) 3))))
(.f64 (pow.f64 (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))) 3) (.f64 (pow.f64 (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x))) 3) (*.f64 (pow.f64 (sqrt.f64 2) 3) (pow.f64 (-.f64 (cos.f64 x) (cos.f64 y)) 3))))
(.f64 (pow.f64 (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))) 3) (.f64 (pow.f64 (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x))) 3) (*.f64 (pow.f64 (sqrt.f64 2) 3) (pow.f64 (-.f64 (cos.f64 x) (cos.f64 y)) 3))))
(.f64 (pow.f64 (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))) 3) (.f64 (pow.f64 (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x))) 3) (*.f64 (pow.f64 (sqrt.f64 2) 3) (pow.f64 (-.f64 (cos.f64 x) (cos.f64 y)) 3))))
(.f64 -1/4096 (.f64 (pow.f64 (-.f64 (cos.f64 x) 1) 3) (*.f64 (pow.f64 (sqrt.f64 2) 3) (pow.f64 (sin.f64 x) 6))))
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(.f64 (pow.f64 (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))) 3) (.f64 (pow.f64 (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x))) 3) (*.f64 (pow.f64 (sqrt.f64 2) 3) (pow.f64 (-.f64 (cos.f64 x) (cos.f64 y)) 3))))
(.f64 (pow.f64 (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))) 3) (.f64 (pow.f64 (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x))) 3) (*.f64 (pow.f64 (sqrt.f64 2) 3) (pow.f64 (-.f64 (cos.f64 x) (cos.f64 y)) 3))))
(.f64 -1/16 (.f64 (pow.f64 (sin.f64 y) 2) (*.f64 (-.f64 1 (cos.f64 y)) (sqrt.f64 2))))
(-.f64 (+.f64 (.f64 1/16 (.f64 (pow.f64 (sin.f64 y) 2) (.f64 (cos.f64 y) (sqrt.f64 2)))) (.f64 257/256 (.f64 (sin.f64 y) (.f64 (sqrt.f64 2) x)))) (+.f64 (.f64 1/16 (.f64 (pow.f64 (sin.f64 y) 2) (sqrt.f64 2))) (.f64 257/256 (.f64 (sin.f64 y) (.f64 (cos.f64 y) (.f64 (sqrt.f64 2) x))))))
(-.f64 (+.f64 (.f64 1/16 (.f64 (pow.f64 (sin.f64 y) 2) (.f64 (cos.f64 y) (sqrt.f64 2)))) (+.f64 (.f64 257/256 (.f64 (sin.f64 y) (.f64 (sqrt.f64 2) x))) (+.f64 (.f64 1/32 (.f64 (pow.f64 (sin.f64 y) 2) (.f64 (sqrt.f64 2) (pow.f64 x 2)))) (.f64 1/16 (.f64 (cos.f64 y) (.f64 (sqrt.f64 2) (pow.f64 x 2))))))) (+.f64 (.f64 1/16 (.f64 (pow.f64 (sin.f64 y) 2) (sqrt.f64 2))) (+.f64 (.f64 257/256 (.f64 (sin.f64 y) (.f64 (cos.f64 y) (.f64 (sqrt.f64 2) x)))) (.f64 1/16 (.f64 (sqrt.f64 2) (pow.f64 x 2))))))
(-.f64 (+.f64 (.f64 1/32 (.f64 (pow.f64 (sin.f64 y) 2) (.f64 (sqrt.f64 2) (pow.f64 x 2)))) (+.f64 (.f64 1/16 (.f64 (pow.f64 (sin.f64 y) 2) (.f64 (cos.f64 y) (sqrt.f64 2)))) (+.f64 (.f64 257/1536 (.f64 (sin.f64 y) (.f64 (cos.f64 y) (.f64 (sqrt.f64 2) (pow.f64 x 3))))) (+.f64 (.f64 257/256 (.f64 (sin.f64 y) (.f64 (sqrt.f64 2) x))) (.f64 1/16 (.f64 (cos.f64 y) (.f64 (sqrt.f64 2) (pow.f64 x 2)))))))) (+.f64 (.f64 1/16 (.f64 (pow.f64 (sin.f64 y) 2) (sqrt.f64 2))) (+.f64 (.f64 257/384 (.f64 (sin.f64 y) (.f64 (sqrt.f64 2) (pow.f64 x 3)))) (+.f64 (.f64 1/16 (.f64 (sqrt.f64 2) (pow.f64 x 2))) (.f64 257/256 (.f64 (sin.f64 y) (.f64 (cos.f64 y) (*.f64 (sqrt.f64 2) x))))))))
(.f64 (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))) (.f64 (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x))) (*.f64 (sqrt.f64 2) (-.f64 (cos.f64 x) (cos.f64 y)))))
(.f64 (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))) (.f64 (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x))) (*.f64 (sqrt.f64 2) (-.f64 (cos.f64 x) (cos.f64 y)))))
(.f64 (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))) (.f64 (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x))) (*.f64 (sqrt.f64 2) (-.f64 (cos.f64 x) (cos.f64 y)))))
(.f64 (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))) (.f64 (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x))) (*.f64 (sqrt.f64 2) (-.f64 (cos.f64 x) (cos.f64 y)))))
(.f64 (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))) (.f64 (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x))) (*.f64 (sqrt.f64 2) (-.f64 (cos.f64 x) (cos.f64 y)))))
(.f64 (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))) (.f64 (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x))) (*.f64 (sqrt.f64 2) (-.f64 (cos.f64 x) (cos.f64 y)))))
(.f64 (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))) (.f64 (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x))) (*.f64 (sqrt.f64 2) (-.f64 (cos.f64 x) (cos.f64 y)))))
(.f64 (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))) (.f64 (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x))) (*.f64 (sqrt.f64 2) (-.f64 (cos.f64 x) (cos.f64 y)))))
(.f64 -1/16 (.f64 (-.f64 (cos.f64 x) 1) (*.f64 (sqrt.f64 2) (pow.f64 (sin.f64 x) 2))))
(-.f64 (+.f64 (.f64 257/256 (.f64 y (.f64 (sqrt.f64 2) (.f64 (sin.f64 x) (cos.f64 x))))) (.f64 1/16 (.f64 (sqrt.f64 2) (pow.f64 (sin.f64 x) 2)))) (+.f64 (.f64 257/256 (.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))))))
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(-.f64 (+.f64 (.f64 257/384 (.f64 (pow.f64 y 3) (.f64 (sqrt.f64 2) (sin.f64 x)))) (+.f64 (.f64 257/256 (.f64 y (.f64 (sqrt.f64 2) (.f64 (sin.f64 x) (cos.f64 x))))) (+.f64 (.f64 1/16 (.f64 (pow.f64 y 2) (sqrt.f64 2))) (.f64 1/16 (.f64 (sqrt.f64 2) (pow.f64 (sin.f64 x) 2)))))) (+.f64 (.f64 257/256 (.f64 y (.f64 (sqrt.f64 2) (sin.f64 x)))) (+.f64 (.f64 1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 x)))) (+.f64 (.f64 1/32 (.f64 (pow.f64 y 2) (.f64 (sqrt.f64 2) (pow.f64 (sin.f64 x) 2)))) (+.f64 (.f64 1/16 (.f64 (pow.f64 y 2) (.f64 (sqrt.f64 2) (cos.f64 x)))) (.f64 257/1536 (.f64 (pow.f64 y 3) (.f64 (sqrt.f64 2) (*.f64 (sin.f64 x) (cos.f64 x))))))))))
(.f64 (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))) (.f64 (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x))) (*.f64 (sqrt.f64 2) (-.f64 (cos.f64 x) (cos.f64 y)))))
(.f64 (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))) (.f64 (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x))) (*.f64 (sqrt.f64 2) (-.f64 (cos.f64 x) (cos.f64 y)))))
(.f64 (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))) (.f64 (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x))) (*.f64 (sqrt.f64 2) (-.f64 (cos.f64 x) (cos.f64 y)))))
(.f64 (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))) (.f64 (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x))) (*.f64 (sqrt.f64 2) (-.f64 (cos.f64 x) (cos.f64 y)))))
(.f64 (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))) (.f64 (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x))) (*.f64 (sqrt.f64 2) (-.f64 (cos.f64 x) (cos.f64 y)))))
(.f64 (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))) (.f64 (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x))) (*.f64 (sqrt.f64 2) (-.f64 (cos.f64 x) (cos.f64 y)))))
(.f64 (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))) (.f64 (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x))) (*.f64 (sqrt.f64 2) (-.f64 (cos.f64 x) (cos.f64 y)))))
(.f64 (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))) (.f64 (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x))) (*.f64 (sqrt.f64 2) (-.f64 (cos.f64 x) (cos.f64 y)))))
(.f64 -1/16 (.f64 (sin.f64 y) (sqrt.f64 2)))
(-.f64 (.f64 (sqrt.f64 2) x) (.f64 1/16 (*.f64 (sin.f64 y) (sqrt.f64 2))))
(-.f64 (.f64 (sqrt.f64 2) x) (+.f64 (.f64 1/6 (.f64 (sqrt.f64 2) (pow.f64 x 3))) (.f64 1/16 (*.f64 (sin.f64 y) (sqrt.f64 2)))))
(-.f64 (+.f64 (.f64 1/120 (.f64 (sqrt.f64 2) (pow.f64 x 5))) (.f64 (sqrt.f64 2) x)) (+.f64 (.f64 1/6 (.f64 (sqrt.f64 2) (pow.f64 x 3))) (.f64 1/16 (*.f64 (sin.f64 y) (sqrt.f64 2)))))
(.f64 (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))) (sqrt.f64 2))
(.f64 (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))) (sqrt.f64 2))
(.f64 (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))) (sqrt.f64 2))
(.f64 (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))) (sqrt.f64 2))
(.f64 (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))) (sqrt.f64 2))
(.f64 (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))) (sqrt.f64 2))
(.f64 (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))) (sqrt.f64 2))
(.f64 (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))) (sqrt.f64 2))
(*.f64 (sqrt.f64 2) (sin.f64 x))
(-.f64 (.f64 (sqrt.f64 2) (sin.f64 x)) (.f64 1/16 (*.f64 y (sqrt.f64 2))))
(-.f64 (+.f64 (.f64 (sqrt.f64 2) (sin.f64 x)) (.f64 1/96 (.f64 (pow.f64 y 3) (sqrt.f64 2)))) (.f64 1/16 (*.f64 y (sqrt.f64 2))))
(-.f64 (+.f64 (.f64 (sqrt.f64 2) (sin.f64 x)) (.f64 1/96 (.f64 (pow.f64 y 3) (sqrt.f64 2)))) (+.f64 (.f64 1/1920 (.f64 (pow.f64 y 5) (sqrt.f64 2))) (.f64 1/16 (*.f64 y (sqrt.f64 2)))))
(.f64 (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))) (sqrt.f64 2))
(.f64 (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))) (sqrt.f64 2))
(.f64 (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))) (sqrt.f64 2))
(.f64 (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))) (sqrt.f64 2))
(.f64 (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))) (sqrt.f64 2))
(.f64 (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))) (sqrt.f64 2))
(.f64 (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))) (sqrt.f64 2))
(.f64 (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))) (sqrt.f64 2))

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

prune777.0ms (5.3%)

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	147	2	149
Fresh	2	11	13
Picked	1	0	1
Done	0	1	1
Total	150	14	164

Error

0.0b

Counts

164 → 14

Alt Table

Status	Error	Program
	0.5b	(expm1.f64 (log1p.f64 (/.f64 (/.f64 (+.f64 2 (.f64 (.f64 (-.f64 (sin.f64 y) (.f64 (sin.f64 x) 1/16)) (-.f64 (cos.f64 x) (cos.f64 y))) (.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16))))) 3) (+.f64 (+.f64 1 (.f64 (cos.f64 x) (-.f64 (/.f64 (sqrt.f64 5) 2) 1/2))) (.f64 (cos.f64 y) (.f64 (/.f64 4 (+.f64 3 (sqrt.f64 5))) 1/2))))))
	3.7b	(/.f64 (+.f64 2 (cbrt.f64 (log.f64 (exp.f64 (pow.f64 (.f64 (.f64 (.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16))) (-.f64 (sin.f64 y) (.f64 (sin.f64 x) 1/16))) (-.f64 (cos.f64 x) (cos.f64 y))) 3))))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (/.f64 4 (+.f64 3 (sqrt.f64 5))) 2) (cos.f64 y)))))
	0.5b	(log.f64 (exp.f64 (/.f64 (/.f64 (+.f64 2 (.f64 (.f64 (-.f64 (sin.f64 y) (.f64 (sin.f64 x) 1/16)) (-.f64 (cos.f64 x) (cos.f64 y))) (.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16))))) 3) (+.f64 (+.f64 1 (.f64 (cos.f64 x) (-.f64 (/.f64 (sqrt.f64 5) 2) 1/2))) (.f64 (cos.f64 y) (.f64 (/.f64 4 (+.f64 3 (sqrt.f64 5))) 1/2))))))
	30.5b	(-.f64 (+.f64 (fma.f64 2/3 (.f64 (/.f64 y (+.f64 3 (sqrt.f64 5))) (/.f64 y (pow.f64 (+.f64 (fma.f64 1/2 (.f64 (cos.f64 x) (sqrt.f64 5)) (/.f64 2 (+.f64 3 (sqrt.f64 5)))) (-.f64 1 (.f64 (cos.f64 x) 1/2))) 2))) (/.f64 2/3 (+.f64 (fma.f64 1/2 (.f64 (cos.f64 x) (sqrt.f64 5)) (/.f64 2 (+.f64 3 (sqrt.f64 5)))) (-.f64 1 (.f64 (cos.f64 x) 1/2))))) (fma.f64 1/48 (.f64 (.f64 (/.f64 y (+.f64 3 (sqrt.f64 5))) (/.f64 y (pow.f64 (+.f64 (fma.f64 1/2 (.f64 (cos.f64 x) (sqrt.f64 5)) (/.f64 2 (+.f64 3 (sqrt.f64 5)))) (-.f64 1 (.f64 (cos.f64 x) 1/2))) 2))) (.f64 (sqrt.f64 2) (pow.f64 (sin.f64 x) 2))) (fma.f64 1/48 (/.f64 (.f64 y (.f64 y (sqrt.f64 2))) (+.f64 (fma.f64 1/2 (.f64 (cos.f64 x) (sqrt.f64 5)) (/.f64 2 (+.f64 3 (sqrt.f64 5)))) (-.f64 1 (.f64 (cos.f64 x) 1/2)))) (fma.f64 257/768 (/.f64 y (/.f64 (+.f64 (fma.f64 1/2 (.f64 (cos.f64 x) (sqrt.f64 5)) (/.f64 2 (+.f64 3 (sqrt.f64 5)))) (-.f64 1 (.f64 (cos.f64 x) 1/2))) (.f64 (sqrt.f64 2) (.f64 (sin.f64 x) (cos.f64 x))))) (/.f64 (.f64 (.f64 1/48 (sqrt.f64 2)) (pow.f64 (sin.f64 x) 2)) (+.f64 (fma.f64 1/2 (.f64 (cos.f64 x) (sqrt.f64 5)) (/.f64 2 (+.f64 3 (sqrt.f64 5)))) (-.f64 1 (.f64 (cos.f64 x) 1/2)))))))) (fma.f64 1/48 (.f64 (.f64 (/.f64 y (+.f64 3 (sqrt.f64 5))) (/.f64 y (pow.f64 (+.f64 (fma.f64 1/2 (.f64 (cos.f64 x) (sqrt.f64 5)) (/.f64 2 (+.f64 3 (sqrt.f64 5)))) (-.f64 1 (.f64 (cos.f64 x) 1/2))) 2))) (.f64 (sqrt.f64 2) (.f64 (cos.f64 x) (pow.f64 (sin.f64 x) 2)))) (fma.f64 1/48 (/.f64 (.f64 (sqrt.f64 2) (.f64 (.f64 y y) (cos.f64 x))) (+.f64 (fma.f64 1/2 (.f64 (cos.f64 x) (sqrt.f64 5)) (/.f64 2 (+.f64 3 (sqrt.f64 5)))) (-.f64 1 (.f64 (cos.f64 x) 1/2)))) (fma.f64 1/96 (/.f64 (.f64 y (.f64 y (.f64 (sqrt.f64 2) (pow.f64 (sin.f64 x) 2)))) (+.f64 (fma.f64 1/2 (.f64 (cos.f64 x) (sqrt.f64 5)) (/.f64 2 (+.f64 3 (sqrt.f64 5)))) (-.f64 1 (.f64 (cos.f64 x) 1/2)))) (fma.f64 257/768 (/.f64 (.f64 (sin.f64 x) (.f64 (sqrt.f64 2) y)) (+.f64 (fma.f64 1/2 (.f64 (cos.f64 x) (sqrt.f64 5)) (/.f64 2 (+.f64 3 (sqrt.f64 5)))) (-.f64 1 (.f64 (cos.f64 x) 1/2)))) (/.f64 (.f64 1/48 (.f64 (sqrt.f64 2) (.f64 (cos.f64 x) (pow.f64 (sin.f64 x) 2)))) (+.f64 (fma.f64 1/2 (.f64 (cos.f64 x) (sqrt.f64 5)) (/.f64 2 (+.f64 3 (sqrt.f64 5)))) (-.f64 1 (*.f64 (cos.f64 x) 1/2)))))))))
	0.4b	(/.f64 (+.f64 2 (cbrt.f64 (pow.f64 (.f64 (.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16))) (.f64 (-.f64 (sin.f64 y) (.f64 (sin.f64 x) 1/16)) (pow.f64 (cbrt.f64 (-.f64 (cos.f64 x) (cos.f64 y))) 3))) 3))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (/.f64 4 (+.f64 3 (sqrt.f64 5))) 2) (cos.f64 y)))))
	1.4b	(.f64 (.f64 (cbrt.f64 (/.f64 (/.f64 (+.f64 2 (.f64 (.f64 (-.f64 (sin.f64 y) (.f64 (sin.f64 x) 1/16)) (-.f64 (cos.f64 x) (cos.f64 y))) (.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16))))) 3) (+.f64 (+.f64 1 (.f64 (cos.f64 x) (-.f64 (/.f64 (sqrt.f64 5) 2) 1/2))) (.f64 (cos.f64 y) (.f64 (/.f64 4 (+.f64 3 (sqrt.f64 5))) 1/2))))) (cbrt.f64 (/.f64 (/.f64 (+.f64 2 (.f64 (.f64 (-.f64 (sin.f64 y) (.f64 (sin.f64 x) 1/16)) (-.f64 (cos.f64 x) (cos.f64 y))) (.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16))))) 3) (+.f64 (+.f64 1 (.f64 (cos.f64 x) (-.f64 (/.f64 (sqrt.f64 5) 2) 1/2))) (.f64 (cos.f64 y) (.f64 (/.f64 4 (+.f64 3 (sqrt.f64 5))) 1/2)))))) (cbrt.f64 (/.f64 (/.f64 (+.f64 2 (.f64 (.f64 (-.f64 (sin.f64 y) (.f64 (sin.f64 x) 1/16)) (-.f64 (cos.f64 x) (cos.f64 y))) (.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16))))) 3) (+.f64 (+.f64 1 (.f64 (cos.f64 x) (-.f64 (/.f64 (sqrt.f64 5) 2) 1/2))) (.f64 (cos.f64 y) (.f64 (/.f64 4 (+.f64 3 (sqrt.f64 5))) 1/2))))))
	0.5b	(.f64 1/3 (/.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 1 (+.f64 (.f64 2 (/.f64 (cos.f64 y) (+.f64 3 (sqrt.f64 5)))) (.f64 1/2 (.f64 (cos.f64 x) (sqrt.f64 5))))) (*.f64 1/2 (cos.f64 x)))))
	0.4b	(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (log.f64 (exp.f64 (-.f64 3 (sqrt.f64 5)))) 2) (cos.f64 y)))))
	0.4b	(/.f64 (fma.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 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)))
✓	0.3b	(/.f64 (+.f64 2 (log.f64 (pow.f64 (pow.f64 (exp.f64 (sqrt.f64 2)) (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16))) (.f64 (-.f64 (sin.f64 y) (.f64 (sin.f64 x) 1/16)) (-.f64 (cos.f64 x) (cos.f64 y)))))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (/.f64 4 (+.f64 3 (sqrt.f64 5))) 2) (cos.f64 y)))))
	0.4b	(/.f64 (+.f64 2 (.f64 (pow.f64 (cbrt.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16)) (-.f64 (sin.f64 y) (.f64 (sin.f64 x) 1/16))))) 3) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
	0.6b	(/.f64 (+.f64 2 (-.f64 (exp.f64 (log1p.f64 (.f64 (.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16))) (.f64 (-.f64 (sin.f64 y) (.f64 (sin.f64 x) 1/16)) (-.f64 (cos.f64 x) (cos.f64 y)))))) 1)) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (/.f64 4 (+.f64 3 (sqrt.f64 5))) 2) (cos.f64 y)))))
	0.4b	(.f64 1 (/.f64 (/.f64 (+.f64 2 (.f64 (.f64 (-.f64 (sin.f64 y) (.f64 (sin.f64 x) 1/16)) (-.f64 (cos.f64 x) (cos.f64 y))) (.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16))))) 3) (+.f64 (+.f64 1 (.f64 (cos.f64 x) (-.f64 (/.f64 (sqrt.f64 5) 2) 1/2))) (.f64 (cos.f64 y) (*.f64 (/.f64 4 (+.f64 3 (sqrt.f64 5))) 1/2)))))
	0.5b	(/.f64 (.f64 1/3 (+.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 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 y))) (.f64 (sin.f64 y) (.f64 (.f64 (sqrt.f64 2) (.f64 (sin.f64 x) (cos.f64 x))) 257/256))) (fma.f64 1/16 (.f64 (pow.f64 (sin.f64 y) 2) (.f64 (sqrt.f64 2) (cos.f64 x))) (fma.f64 1/16 (.f64 (sqrt.f64 2) (.f64 (cos.f64 x) (pow.f64 (sin.f64 x) 2))) (.f64 (.f64 (sqrt.f64 2) (.f64 (sin.f64 x) (cos.f64 y))) (.f64 (sin.f64 y) 257/256))))))) (+.f64 1 (+.f64 (fma.f64 1/2 (.f64 (cos.f64 x) (sqrt.f64 5)) (/.f64 (.f64 2 (cos.f64 y)) (+.f64 3 (sqrt.f64 5)))) (.f64 (cos.f64 x) -1/2))))

Compiler

Compiled 13608 to 9834 computations (27.7% saved)

regimes369.0ms (2.5%)

Accuracy

Total 0.4b remaining (86.9%)

Threshold costs 0.4b (86.9%)

Counts

132 → 1

Compiler

Compiled 7745 to 5458 computations (29.5% saved)

simplify6.0ms (0%)

Algorithm

1×	egg-herbie

Rules

11×	`+-commutative_binary64`
11×	`*-commutative_binary64`
6×	`sub-neg_binary64`
3×	`neg-sub0_binary64`
3×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	83
1	61	83
2	75	83
3	81	83
4	84	83

Stop Event

1×

saturated

Calls

Call 1

Inputs

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

Outputs

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

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

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

end697.0ms (4.8%)

Stop Event

1×

fuel

Compiler

Compiled 1409 to 1081 computations (23.3% saved)

Details

analyze1.3s (9.2%)

sample8.9s (60.8%)

preprocess28.0ms (0.2%)

simplify26.0ms (0.2%)

prune6.0ms (0%)

localize33.0ms (0.2%)

series27.0ms (0.2%)

rewrite38.0ms (0.3%)

simplify40.0ms (0.3%)

prune289.0ms (2%)

localize32.0ms (0.2%)

series11.0ms (0.1%)

rewrite29.0ms (0.2%)

simplify39.0ms (0.3%)

prune453.0ms (3.1%)

localize40.0ms (0.3%)

series394.0ms (2.7%)

rewrite46.0ms (0.3%)

simplify97.0ms (0.7%)

prune684.0ms (4.7%)

localize37.0ms (0.3%)

series31.0ms (0.2%)

rewrite44.0ms (0.3%)

simplify85.0ms (0.6%)

prune777.0ms (5.3%)

regimes369.0ms (2.5%)

simplify6.0ms (0%)

end697.0ms (4.8%)

Profiling