Details

analyze567.0ms (1%)

Algorithm

1×

Search

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

Compiler

Compiled 53 to 41 computations (22.6% saved)

sample12.7s (22.4%)

Results

7.7s	3630×	body	1024	valid
2.8s	3221×	body	256	valid
2.2s	1390×	body	512	valid
28.0ms	15×	body	2048	valid

Bogosity

preprocess295.0ms (0.5%)

Algorithm

2×	egg-herbie

Rules

1328×	`rational.json-simplify-51`
1114×	`rational.json-simplify-26`
998×	`rational.json-simplify-48`
976×	`rational.json-simplify-2`
936×	`rational.json-simplify-35`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	318
1	100	318
2	184	318
3	351	318
4	826	318
5	1376	318
6	2272	318
7	4343	318
8	6175	318
9	7310	318
0	2	2

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

Inputs

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

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

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

Compiler

Compiled 54 to 42 computations (22.2% saved)

simplify74.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

2138×	`rational.json-simplify-35`
1052×	`rational.json-simplify-48`
982×	`rational.json-simplify-1`
850×	`rational.json-simplify-26`
844×	`rational.json-simplify-51`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	159
1	74	159
2	133	159
3	245	159
4	543	159
5	1374	159
6	2353	159
7	3947	159
8	6911	159

Stop Event

1×	node limit

Counts

1 → 7

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

eval5.0ms (0%)

Compiler: Compiled 352 to 238 computations (32.4% saved)

prune171.0ms (0.3%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	3	4	7
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	3	5	8

Error

0.3b

Counts

8 → 4

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.4b	(/.f64 (/.f64 (+.f64 2 (.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)) (.f64 (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16)) (.f64 (sqrt.f64 2) (-.f64 (cos.f64 x) (cos.f64 y)))))) 3) (+.f64 1 (+.f64 (.f64 (cos.f64 x) (/.f64 (+.f64 (sqrt.f64 5) -1) 2)) (*.f64 (cos.f64 y) (/.f64 (-.f64 3 (sqrt.f64 5)) 2)))))
▶	0.5b	(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
▶	0.5b	(/.f64 (+.f64 2 (.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16)))))) (.f64 3 (+.f64 (+.f64 1 (.f64 (cos.f64 x) (/.f64 (+.f64 (sqrt.f64 5) -1) 2))) (.f64 (cos.f64 y) (/.f64 (-.f64 3 (sqrt.f64 5)) 2)))))
▶	0.5b	(/.f64 (+.f64 2 (.f64 (sqrt.f64 2) (.f64 (.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y))))) (.f64 3 (+.f64 1 (+.f64 (.f64 (cos.f64 x) (/.f64 (+.f64 (sqrt.f64 5) -1) 2)) (.f64 (cos.f64 y) (/.f64 (-.f64 3 (sqrt.f64 5)) 2))))))

Compiler

Compiled 208 to 160 computations (23.1% saved)

localize1.2s (2.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(.f64 (sqrt.f64 2) (.f64 (*.f64 (-.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))))
✓	0.6b	(+.f64 (.f64 (cos.f64 x) (/.f64 (+.f64 (sqrt.f64 5) -1) 2)) (.f64 (cos.f64 y) (/.f64 (-.f64 3 (sqrt.f64 5)) 2)))
✓	1.0b	(-.f64 3 (sqrt.f64 5))
✓	2.3b	(-.f64 (cos.f64 x) (cos.f64 y))

Compiler

Compiled 286 to 184 computations (35.7% saved)

series19.0ms (0%)

Counts

4 → 56

Calls

18 calls:

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

rewrite112.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1780×	`rational.json-1`
1484×	`rational.json-simplify-35`
1110×	`exponential.json-3`
1110×	`rational.json-2`
1110×	`rational.json-4`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	31	162
1	221	162
2	481	162
3	1071	162
4	2310	156
5	4728	156
6	7824	156

Stop Event

1×	node limit

Counts

4 → 85

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 x) (neg.f64 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (cos.f64 x) (cos.f64 y)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 1 (-.f64 (cos.f64 x) (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (cos.f64 x) (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (cos.f64 y)) (cos.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (-.f64 (cos.f64 x) (cos.f64 y))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 (cos.f64 x) (cos.f64 y)) 2) (/.f64 (-.f64 (cos.f64 x) (cos.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 -1 (cos.f64 y)) (-.f64 1 (neg.f64 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (cos.f64 x) (cos.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (-.f64 (cos.f64 y) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (/.f64 (-.f64 (cos.f64 x) (cos.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (-.f64 (/.f64 (cos.f64 x) 2) (/.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 (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (cos.f64 y) (cos.f64 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (-.f64 (.f64 (cos.f64 x) 2) (.f64 (cos.f64 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (-.f64 (cos.f64 x) (cos.f64 y)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (cos.f64 x) (cos.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (cos.f64 y) (cos.f64 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (-.f64 (cos.f64 y) (cos.f64 x))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (-.f64 (cos.f64 y) (cos.f64 x)))) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (.f64 2 (-.f64 (cos.f64 y) (cos.f64 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) 4))) (.f64 2 (.f64 2 (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) 4)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (neg.f64 (.f64 2 (-.f64 (cos.f64 y) (cos.f64 x)))) (neg.f64 (*.f64 2 (-.f64 (cos.f64 y) (cos.f64 x))))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (cos.f64 x) (cos.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 (cos.f64 y) (cos.f64 x)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 3 (sqrt.f64 5)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 3 (+.f64 (sqrt.f64 5) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (-.f64 3 (sqrt.f64 5)) 1/2) (.f64 (-.f64 3 (sqrt.f64 5)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 3 (sqrt.f64 5)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 3 (+.f64 (sqrt.f64 5) -1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 3 (sqrt.f64 5)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (+.f64 (sqrt.f64 5) -3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (.f64 (-.f64 3 (sqrt.f64 5)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (-.f64 3 (sqrt.f64 5)) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (-.f64 3 (sqrt.f64 5)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (-.f64 3 (sqrt.f64 5)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (-.f64 3 (sqrt.f64 5)) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (sqrt.f64 5) -3) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (.f64 (-.f64 3 (sqrt.f64 5)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/4 (.f64 (-.f64 3 (sqrt.f64 5)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 3 (sqrt.f64 5)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 3 (sqrt.f64 5)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 3 (sqrt.f64 5)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (sqrt.f64 5) -3) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (-.f64 3 (sqrt.f64 5)) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (+.f64 (sqrt.f64 5) -3)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 (-.f64 3 (sqrt.f64 5)) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (+.f64 (sqrt.f64 5) -3))) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (-.f64 3 (sqrt.f64 5)) 4)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (.f64 2 (+.f64 (sqrt.f64 5) -3))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (neg.f64 (.f64 2 (+.f64 (sqrt.f64 5) -3))) (neg.f64 (*.f64 2 (+.f64 (sqrt.f64 5) -3)))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 3 (sqrt.f64 5)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (+.f64 (sqrt.f64 5) -3))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 1/2 (+.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) (.f64 (cos.f64 y) (-.f64 3 (sqrt.f64 5))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (/.f64 (.f64 1/2 (+.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) (.f64 (cos.f64 y) (-.f64 3 (sqrt.f64 5))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 1/2 (+.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) (.f64 (cos.f64 y) (-.f64 3 (sqrt.f64 5))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (.f64 1/2 (+.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) (.f64 (cos.f64 y) (-.f64 3 (sqrt.f64 5))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 2 (.f64 1/2 (+.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) (.f64 (cos.f64 y) (-.f64 3 (sqrt.f64 5)))))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (.f64 2 (.f64 1/2 (+.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) (.f64 (cos.f64 y) (-.f64 3 (sqrt.f64 5)))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (+.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) (.f64 (cos.f64 y) (-.f64 3 (sqrt.f64 5)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (.f64 1/2 (+.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) (.f64 (cos.f64 y) (-.f64 3 (sqrt.f64 5))))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 1/2 (+.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) (.f64 (cos.f64 y) (-.f64 3 (sqrt.f64 5))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 1/2 (+.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) (.f64 (cos.f64 y) (-.f64 3 (sqrt.f64 5)))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 1/2 (+.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) (.f64 (cos.f64 y) (-.f64 3 (sqrt.f64 5))))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (.f64 1/2 (+.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) (.f64 (cos.f64 y) (-.f64 3 (sqrt.f64 5))))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 (.f64 1/2 (+.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) (.f64 (cos.f64 y) (-.f64 3 (sqrt.f64 5))))) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (.f64 1/2 (+.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) (.f64 (cos.f64 y) (-.f64 3 (sqrt.f64 5))))) 4))) (.f64 2 (.f64 2 (.f64 (.f64 1/2 (+.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) (.f64 (cos.f64 y) (-.f64 3 (sqrt.f64 5))))) 4)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 1/2 (+.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) (*.f64 (cos.f64 y) (-.f64 3 (sqrt.f64 5))))) 1)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16)) (-.f64 (sin.f64 y) (.f64 (sin.f64 x) 1/16))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16)) (-.f64 (sin.f64 y) (.f64 (sin.f64 x) 1/16))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16)) (-.f64 (sin.f64 y) (.f64 (sin.f64 x) 1/16))))) 2) (/.f64 (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16)) (-.f64 (sin.f64 y) (.f64 (sin.f64 x) 1/16))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16)) (-.f64 (sin.f64 y) (.f64 (sin.f64 x) 1/16))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16)) (-.f64 (sin.f64 y) (.f64 (sin.f64 x) 1/16))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 (.f64 2 (sin.f64 y)) (.f64 (sin.f64 x) 1/8)) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16)) (.f64 (-.f64 (sin.f64 y) (.f64 (sin.f64 x) 1/16)) 4)))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16)) (.f64 (-.f64 (sin.f64 y) (.f64 (sin.f64 x) 1/16)) 4))))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16)) (.f64 (-.f64 (sin.f64 y) (.f64 (sin.f64 x) 1/16)) 4)))))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16)) (.f64 (-.f64 (sin.f64 y) (.f64 (sin.f64 x) 1/16)) 4)))))) (.f64 2 (.f64 2 (.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16)) (.f64 (-.f64 (sin.f64 y) (.f64 (sin.f64 x) 1/16)) 4))))))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16)) (-.f64 (sin.f64 y) (.f64 (sin.f64 x) 1/16))))) 1)))))

simplify919.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1700×	`rational.json-simplify-35`
1486×	`rational.json-simplify-51`
1012×	`rational.json-simplify-2`
1008×	`rational.json-simplify-1`
782×	`rational.json-simplify-48`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	330	7289
1	768	6907
2	1755	6757
3	3485	6669
4	5784	6669
5	6803	6549

Stop Event

1×	node limit

Counts

141 → 197

Calls

Call 1

Inputs
(-.f64 1 (cos.f64 y))
(-.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 x 2))) (cos.f64 y))
(-.f64 (+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 1/24 (pow.f64 x 4)))) (cos.f64 y))
(-.f64 (+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 1/24 (pow.f64 x 4)) (*.f64 -1/720 (pow.f64 x 6))))) (cos.f64 y))
(-.f64 (cos.f64 x) 1)
(-.f64 (+.f64 (cos.f64 x) (*.f64 1/2 (pow.f64 y 2))) 1)
(-.f64 (+.f64 (cos.f64 x) (+.f64 (.f64 1/2 (pow.f64 y 2)) (.f64 -1/24 (pow.f64 y 4)))) 1)
(-.f64 (+.f64 (cos.f64 x) (+.f64 (.f64 1/2 (pow.f64 y 2)) (+.f64 (.f64 1/720 (pow.f64 y 6)) (*.f64 -1/24 (pow.f64 y 4))))) 1)
(+.f64 (.f64 1/2 (-.f64 (sqrt.f64 5) 1)) (.f64 1/2 (*.f64 (-.f64 3 (sqrt.f64 5)) (cos.f64 y))))
(+.f64 (.f64 -1/4 (.f64 (-.f64 (sqrt.f64 5) 1) (pow.f64 x 2))) (+.f64 (.f64 1/2 (.f64 (-.f64 3 (sqrt.f64 5)) (cos.f64 y))) (*.f64 1/2 (-.f64 (sqrt.f64 5) 1))))
(+.f64 (.f64 1/48 (.f64 (-.f64 (sqrt.f64 5) 1) (pow.f64 x 4))) (+.f64 (.f64 -1/4 (.f64 (-.f64 (sqrt.f64 5) 1) (pow.f64 x 2))) (+.f64 (.f64 1/2 (.f64 (-.f64 3 (sqrt.f64 5)) (cos.f64 y))) (*.f64 1/2 (-.f64 (sqrt.f64 5) 1)))))
(+.f64 (.f64 1/48 (.f64 (-.f64 (sqrt.f64 5) 1) (pow.f64 x 4))) (+.f64 (.f64 -1/4 (.f64 (-.f64 (sqrt.f64 5) 1) (pow.f64 x 2))) (+.f64 (.f64 -1/1440 (.f64 (-.f64 (sqrt.f64 5) 1) (pow.f64 x 6))) (+.f64 (.f64 1/2 (.f64 (-.f64 3 (sqrt.f64 5)) (cos.f64 y))) (*.f64 1/2 (-.f64 (sqrt.f64 5) 1))))))
(+.f64 (.f64 1/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))) (.f64 1/2 (.f64 (-.f64 3 (sqrt.f64 5)) (cos.f64 y))))
(+.f64 (.f64 1/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))) (.f64 1/2 (.f64 (-.f64 3 (sqrt.f64 5)) (cos.f64 y))))
(+.f64 (.f64 1/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))) (.f64 1/2 (.f64 (-.f64 3 (sqrt.f64 5)) (cos.f64 y))))
(+.f64 (.f64 1/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))) (.f64 1/2 (.f64 (-.f64 3 (sqrt.f64 5)) (cos.f64 y))))
(+.f64 (.f64 1/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))) (.f64 1/2 (.f64 (-.f64 3 (sqrt.f64 5)) (cos.f64 y))))
(+.f64 (.f64 1/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))) (.f64 1/2 (.f64 (-.f64 3 (sqrt.f64 5)) (cos.f64 y))))
(+.f64 (.f64 1/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))) (.f64 1/2 (.f64 (-.f64 3 (sqrt.f64 5)) (cos.f64 y))))
(+.f64 (.f64 1/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))) (.f64 1/2 (.f64 (-.f64 3 (sqrt.f64 5)) (cos.f64 y))))
(+.f64 (.f64 1/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))) (*.f64 1/2 (-.f64 3 (sqrt.f64 5))))
(+.f64 (.f64 1/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))) (+.f64 (.f64 -1/4 (.f64 (pow.f64 y 2) (-.f64 3 (sqrt.f64 5)))) (*.f64 1/2 (-.f64 3 (sqrt.f64 5)))))
(+.f64 (.f64 1/48 (.f64 (pow.f64 y 4) (-.f64 3 (sqrt.f64 5)))) (+.f64 (.f64 1/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))) (+.f64 (.f64 -1/4 (.f64 (pow.f64 y 2) (-.f64 3 (sqrt.f64 5)))) (*.f64 1/2 (-.f64 3 (sqrt.f64 5))))))
(+.f64 (.f64 1/48 (.f64 (pow.f64 y 4) (-.f64 3 (sqrt.f64 5)))) (+.f64 (.f64 -1/1440 (.f64 (pow.f64 y 6) (-.f64 3 (sqrt.f64 5)))) (+.f64 (.f64 1/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))) (+.f64 (.f64 -1/4 (.f64 (pow.f64 y 2) (-.f64 3 (sqrt.f64 5)))) (*.f64 1/2 (-.f64 3 (sqrt.f64 5)))))))
(+.f64 (.f64 1/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))) (.f64 1/2 (.f64 (-.f64 3 (sqrt.f64 5)) (cos.f64 y))))
(+.f64 (.f64 1/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))) (.f64 1/2 (.f64 (-.f64 3 (sqrt.f64 5)) (cos.f64 y))))
(+.f64 (.f64 1/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))) (.f64 1/2 (.f64 (-.f64 3 (sqrt.f64 5)) (cos.f64 y))))
(+.f64 (.f64 1/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))) (.f64 1/2 (.f64 (-.f64 3 (sqrt.f64 5)) (cos.f64 y))))
(+.f64 (.f64 1/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))) (.f64 1/2 (.f64 (-.f64 3 (sqrt.f64 5)) (cos.f64 y))))
(+.f64 (.f64 1/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))) (.f64 1/2 (.f64 (-.f64 3 (sqrt.f64 5)) (cos.f64 y))))
(+.f64 (.f64 1/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))) (.f64 1/2 (.f64 (-.f64 3 (sqrt.f64 5)) (cos.f64 y))))
(+.f64 (.f64 1/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))) (.f64 1/2 (.f64 (-.f64 3 (sqrt.f64 5)) (cos.f64 y))))
(.f64 -1/16 (.f64 (sqrt.f64 2) (*.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2))))
(+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2)))) (.f64 (sqrt.f64 2) (.f64 (+.f64 (.f64 (-.f64 1 (cos.f64 y)) (sin.f64 y)) (.f64 1/256 (.f64 (-.f64 1 (cos.f64 y)) (sin.f64 y)))) x)))
(+.f64 (.f64 (sqrt.f64 2) (.f64 (+.f64 (.f64 1/32 (pow.f64 (sin.f64 y) 2)) (.f64 -1/16 (-.f64 1 (cos.f64 y)))) (pow.f64 x 2))) (+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2)))) (.f64 (sqrt.f64 2) (.f64 (+.f64 (.f64 (-.f64 1 (cos.f64 y)) (sin.f64 y)) (.f64 1/256 (.f64 (-.f64 1 (cos.f64 y)) (sin.f64 y)))) x))))
(+.f64 (.f64 (sqrt.f64 2) (.f64 (+.f64 (.f64 1/32 (pow.f64 (sin.f64 y) 2)) (.f64 -1/16 (-.f64 1 (cos.f64 y)))) (pow.f64 x 2))) (+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2)))) (+.f64 (.f64 (sqrt.f64 2) (.f64 (+.f64 (.f64 (-.f64 (.f64 -1/6 (-.f64 1 (cos.f64 y))) 1/2) (sin.f64 y)) (+.f64 (.f64 -1/1536 (.f64 (-.f64 1 (cos.f64 y)) (sin.f64 y))) (.f64 -1/512 (sin.f64 y)))) (pow.f64 x 3))) (.f64 (sqrt.f64 2) (.f64 (+.f64 (.f64 (-.f64 1 (cos.f64 y)) (sin.f64 y)) (.f64 1/256 (*.f64 (-.f64 1 (cos.f64 y)) (sin.f64 y)))) x)))))
(.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x))) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (-.f64 (sin.f64 x) (*.f64 1/16 (sin.f64 y))))))
(.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x))) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (-.f64 (sin.f64 x) (*.f64 1/16 (sin.f64 y))))))
(.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x))) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (-.f64 (sin.f64 x) (*.f64 1/16 (sin.f64 y))))))
(.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x))) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (-.f64 (sin.f64 x) (*.f64 1/16 (sin.f64 y))))))
(.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x))) (-.f64 (sin.f64 x) (*.f64 1/16 (sin.f64 y))))))
(.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x))) (-.f64 (sin.f64 x) (*.f64 1/16 (sin.f64 y))))))
(.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x))) (-.f64 (sin.f64 x) (*.f64 1/16 (sin.f64 y))))))
(.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x))) (-.f64 (sin.f64 x) (*.f64 1/16 (sin.f64 y))))))
(.f64 -1/16 (.f64 (sqrt.f64 2) (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))
(+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1)))) (.f64 (sqrt.f64 2) (.f64 y (+.f64 (.f64 (sin.f64 x) (-.f64 (cos.f64 x) 1)) (.f64 1/256 (.f64 (sin.f64 x) (-.f64 (cos.f64 x) 1)))))))
(+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1)))) (+.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 y 2) (+.f64 (.f64 -1/32 (pow.f64 (sin.f64 x) 2)) (.f64 -1/16 (-.f64 (cos.f64 x) 1))))) (.f64 (sqrt.f64 2) (.f64 y (+.f64 (.f64 (sin.f64 x) (-.f64 (cos.f64 x) 1)) (.f64 1/256 (.f64 (sin.f64 x) (-.f64 (cos.f64 x) 1))))))))
(+.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 y 3) (+.f64 (.f64 -1/6 (.f64 (sin.f64 x) (-.f64 (cos.f64 x) 1))) (+.f64 (.f64 1/2 (sin.f64 x)) (.f64 -1/16 (.f64 (-.f64 (.f64 1/96 (-.f64 (cos.f64 x) 1)) 1/32) (sin.f64 x))))))) (+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1)))) (+.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 y 2) (+.f64 (.f64 -1/32 (pow.f64 (sin.f64 x) 2)) (.f64 -1/16 (-.f64 (cos.f64 x) 1))))) (.f64 (sqrt.f64 2) (.f64 y (+.f64 (.f64 (sin.f64 x) (-.f64 (cos.f64 x) 1)) (.f64 1/256 (.f64 (sin.f64 x) (-.f64 (cos.f64 x) 1)))))))))
(.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x))) (-.f64 (sin.f64 x) (*.f64 1/16 (sin.f64 y))))))
(.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x))) (-.f64 (sin.f64 x) (*.f64 1/16 (sin.f64 y))))))
(.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x))) (-.f64 (sin.f64 x) (*.f64 1/16 (sin.f64 y))))))
(.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x))) (-.f64 (sin.f64 x) (*.f64 1/16 (sin.f64 y))))))
(.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x))) (-.f64 (sin.f64 x) (*.f64 1/16 (sin.f64 y))))))
(.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x))) (-.f64 (sin.f64 x) (*.f64 1/16 (sin.f64 y))))))
(.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x))) (-.f64 (sin.f64 x) (*.f64 1/16 (sin.f64 y))))))
(.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x))) (-.f64 (sin.f64 x) (*.f64 1/16 (sin.f64 y))))))
(+.f64 (cos.f64 x) (neg.f64 (cos.f64 y)))
(+.f64 (-.f64 (cos.f64 x) (cos.f64 y)) 0)
(+.f64 -1 (+.f64 1 (-.f64 (cos.f64 x) (cos.f64 y))))
(+.f64 0 (-.f64 (cos.f64 x) (cos.f64 y)))
(+.f64 (neg.f64 (cos.f64 y)) (cos.f64 x))
(+.f64 (+.f64 1 (-.f64 (cos.f64 x) (cos.f64 y))) -1)
(+.f64 (/.f64 (-.f64 (cos.f64 x) (cos.f64 y)) 2) (/.f64 (-.f64 (cos.f64 x) (cos.f64 y)) 2))
(+.f64 (-.f64 -1 (cos.f64 y)) (-.f64 1 (neg.f64 (cos.f64 x))))
(*.f64 (-.f64 (cos.f64 x) (cos.f64 y)) 1)
(*.f64 -1 (-.f64 (cos.f64 y) (cos.f64 x)))
(*.f64 2 (/.f64 (-.f64 (cos.f64 x) (cos.f64 y)) 2))
(*.f64 2 (-.f64 (/.f64 (cos.f64 x) 2) (/.f64 (cos.f64 y) 2)))
(*.f64 1 (-.f64 (cos.f64 x) (cos.f64 y)))
(.f64 (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) 2) 1/2)
(*.f64 (-.f64 (cos.f64 y) (cos.f64 x)) -1)
(.f64 1/2 (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) 2))
(.f64 1/2 (-.f64 (.f64 (cos.f64 x) 2) (*.f64 (cos.f64 y) 2)))
(*.f64 (/.f64 (-.f64 (cos.f64 x) (cos.f64 y)) 2) 2)
(/.f64 (-.f64 (cos.f64 x) (cos.f64 y)) 1)
(/.f64 (*.f64 (-.f64 (cos.f64 x) (cos.f64 y)) 2) 2)
(/.f64 (-.f64 (cos.f64 y) (cos.f64 x)) -1)
(/.f64 (*.f64 (-.f64 (cos.f64 x) (cos.f64 y)) 4) 4)
(/.f64 (.f64 2 (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) 4)) 8)
(/.f64 (*.f64 2 (-.f64 (cos.f64 y) (cos.f64 x))) -2)
(/.f64 (.f64 2 (.f64 2 (*.f64 (-.f64 (cos.f64 x) (cos.f64 y)) 4))) 16)
(/.f64 (.f64 2 (.f64 2 (-.f64 (cos.f64 y) (cos.f64 x)))) -4)
(/.f64 (neg.f64 (*.f64 2 (-.f64 (cos.f64 y) (cos.f64 x)))) 2)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) 4))) (.f64 2 (.f64 2 (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) 4)))) 32)
(/.f64 (+.f64 (neg.f64 (.f64 2 (-.f64 (cos.f64 y) (cos.f64 x)))) (neg.f64 (.f64 2 (-.f64 (cos.f64 y) (cos.f64 x))))) 4)
(pow.f64 (-.f64 (cos.f64 x) (cos.f64 y)) 1)
(neg.f64 (-.f64 (cos.f64 y) (cos.f64 x)))
(+.f64 (-.f64 3 (sqrt.f64 5)) 0)
(+.f64 -1 (-.f64 3 (+.f64 (sqrt.f64 5) -1)))
(+.f64 (.f64 (-.f64 3 (sqrt.f64 5)) 1/2) (.f64 (-.f64 3 (sqrt.f64 5)) 1/2))
(+.f64 0 (-.f64 3 (sqrt.f64 5)))
(+.f64 (-.f64 3 (+.f64 (sqrt.f64 5) -1)) -1)
(*.f64 (-.f64 3 (sqrt.f64 5)) 1)
(*.f64 -1 (+.f64 (sqrt.f64 5) -3))
(.f64 2 (.f64 (-.f64 3 (sqrt.f64 5)) 1/2))
(.f64 (.f64 (-.f64 3 (sqrt.f64 5)) 1/2) 2)
(*.f64 1 (-.f64 3 (sqrt.f64 5)))
(.f64 (.f64 (-.f64 3 (sqrt.f64 5)) 2) 1/2)
(.f64 (.f64 (-.f64 3 (sqrt.f64 5)) 4) 1/4)
(*.f64 (+.f64 (sqrt.f64 5) -3) -1)
(.f64 1/2 (.f64 (-.f64 3 (sqrt.f64 5)) 2))
(.f64 1/4 (.f64 (-.f64 3 (sqrt.f64 5)) 4))
(/.f64 (-.f64 3 (sqrt.f64 5)) 1)
(/.f64 (*.f64 (-.f64 3 (sqrt.f64 5)) 2) 2)
(/.f64 (*.f64 (-.f64 3 (sqrt.f64 5)) 4) 4)
(/.f64 (+.f64 (sqrt.f64 5) -3) -1)
(/.f64 (.f64 2 (.f64 (-.f64 3 (sqrt.f64 5)) 4)) 8)
(/.f64 (*.f64 2 (+.f64 (sqrt.f64 5) -3)) -2)
(/.f64 (.f64 2 (.f64 2 (*.f64 (-.f64 3 (sqrt.f64 5)) 4))) 16)
(/.f64 (.f64 2 (.f64 2 (+.f64 (sqrt.f64 5) -3))) -4)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (-.f64 3 (sqrt.f64 5)) 4)))) 32)
(/.f64 (neg.f64 (*.f64 2 (+.f64 (sqrt.f64 5) -3))) 2)
(/.f64 (+.f64 (neg.f64 (.f64 2 (+.f64 (sqrt.f64 5) -3))) (neg.f64 (.f64 2 (+.f64 (sqrt.f64 5) -3)))) 4)
(pow.f64 (-.f64 3 (sqrt.f64 5)) 1)
(neg.f64 (+.f64 (sqrt.f64 5) -3))
(-.f64 (.f64 1/2 (+.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) (*.f64 (cos.f64 y) (-.f64 3 (sqrt.f64 5))))) 0)
(.f64 2 (/.f64 (.f64 1/2 (+.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) (.f64 (cos.f64 y) (-.f64 3 (sqrt.f64 5))))) 2))
(.f64 (.f64 1/2 (+.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) (.f64 (cos.f64 y) (-.f64 3 (sqrt.f64 5))))) 1)
(.f64 1 (.f64 1/2 (+.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) (.f64 (cos.f64 y) (-.f64 3 (sqrt.f64 5))))))
(.f64 (.f64 2 (.f64 1/2 (+.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) (*.f64 (cos.f64 y) (-.f64 3 (sqrt.f64 5)))))) 1/2)
(.f64 1/2 (.f64 2 (.f64 1/2 (+.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) (*.f64 (cos.f64 y) (-.f64 3 (sqrt.f64 5)))))))
(.f64 1/2 (+.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) (*.f64 (cos.f64 y) (-.f64 3 (sqrt.f64 5)))))
(.f64 (/.f64 (.f64 1/2 (+.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) (.f64 (cos.f64 y) (-.f64 3 (sqrt.f64 5))))) 2) 2)
(/.f64 (.f64 1/2 (+.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) (*.f64 (cos.f64 y) (-.f64 3 (sqrt.f64 5))))) 1)
(/.f64 (.f64 2 (.f64 1/2 (+.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) (.f64 (cos.f64 y) (-.f64 3 (sqrt.f64 5)))))) 2)
(/.f64 (.f64 (.f64 1/2 (+.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) (.f64 (cos.f64 y) (-.f64 3 (sqrt.f64 5))))) 4) 4)
(/.f64 (.f64 2 (.f64 (.f64 1/2 (+.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) (*.f64 (cos.f64 y) (-.f64 3 (sqrt.f64 5))))) 4)) 8)
(/.f64 (.f64 2 (.f64 2 (.f64 (.f64 1/2 (+.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) (.f64 (cos.f64 y) (-.f64 3 (sqrt.f64 5))))) 4))) 16)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (.f64 1/2 (+.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) (.f64 (cos.f64 y) (-.f64 3 (sqrt.f64 5))))) 4))) (.f64 2 (.f64 2 (.f64 (.f64 1/2 (+.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) (.f64 (cos.f64 y) (-.f64 3 (sqrt.f64 5))))) 4)))) 32)
(pow.f64 (.f64 1/2 (+.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) (*.f64 (cos.f64 y) (-.f64 3 (sqrt.f64 5))))) 1)
(+.f64 (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16)) (-.f64 (sin.f64 y) (*.f64 (sin.f64 x) 1/16))))) 0)
(+.f64 0 (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16)) (-.f64 (sin.f64 y) (*.f64 (sin.f64 x) 1/16))))))
(+.f64 (/.f64 (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16)) (-.f64 (sin.f64 y) (.f64 (sin.f64 x) 1/16))))) 2) (/.f64 (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16)) (-.f64 (sin.f64 y) (.f64 (sin.f64 x) 1/16))))) 2))
(-.f64 (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16)) (-.f64 (sin.f64 y) (*.f64 (sin.f64 x) 1/16))))) 0)
(/.f64 (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16)) (-.f64 (sin.f64 y) (*.f64 (sin.f64 x) 1/16))))) 1)
(/.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 (.f64 2 (sin.f64 y)) (.f64 (sin.f64 x) 1/8)) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16))))) 2)
(/.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16)) (.f64 (-.f64 (sin.f64 y) (.f64 (sin.f64 x) 1/16)) 4)))) 4)
(/.f64 (.f64 2 (.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16)) (.f64 (-.f64 (sin.f64 y) (*.f64 (sin.f64 x) 1/16)) 4))))) 8)
(/.f64 (.f64 2 (.f64 2 (.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16)) (.f64 (-.f64 (sin.f64 y) (.f64 (sin.f64 x) 1/16)) 4)))))) 16)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16)) (.f64 (-.f64 (sin.f64 y) (.f64 (sin.f64 x) 1/16)) 4)))))) (.f64 2 (.f64 2 (.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16)) (.f64 (-.f64 (sin.f64 y) (.f64 (sin.f64 x) 1/16)) 4))))))) 32)
(pow.f64 (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16)) (-.f64 (sin.f64 y) (*.f64 (sin.f64 x) 1/16))))) 1)

Outputs
(-.f64 1 (cos.f64 y))
(-.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 x 2))) (cos.f64 y))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (-.f64 1 (cos.f64 y)))
(+.f64 (-.f64 1 (cos.f64 y)) (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 1 (-.f64 (*.f64 -1/2 (pow.f64 x 2)) (cos.f64 y)))
(-.f64 (+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 1/24 (pow.f64 x 4)))) (cos.f64 y))
(+.f64 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 1/24 (pow.f64 x 4))) (-.f64 1 (cos.f64 y)))
(+.f64 (-.f64 1 (cos.f64 y)) (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 1/24 (pow.f64 x 4))))
(+.f64 1 (+.f64 (.f64 1/24 (pow.f64 x 4)) (-.f64 (.f64 -1/2 (pow.f64 x 2)) (cos.f64 y))))
(-.f64 (+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 1/24 (pow.f64 x 4)) (*.f64 -1/720 (pow.f64 x 6))))) (cos.f64 y))
(+.f64 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 1/24 (pow.f64 x 4)) (*.f64 -1/720 (pow.f64 x 6)))) (-.f64 1 (cos.f64 y)))
(+.f64 (-.f64 1 (cos.f64 y)) (+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 1/24 (pow.f64 x 4)) (*.f64 -1/720 (pow.f64 x 6)))))
(+.f64 (+.f64 (.f64 -1/720 (pow.f64 x 6)) (+.f64 1 (.f64 1/24 (pow.f64 x 4)))) (-.f64 (*.f64 -1/2 (pow.f64 x 2)) (cos.f64 y)))
(-.f64 (cos.f64 x) 1)
(+.f64 (cos.f64 x) -1)
(-.f64 (+.f64 (cos.f64 x) (*.f64 1/2 (pow.f64 y 2))) 1)
(+.f64 (*.f64 1/2 (pow.f64 y 2)) (+.f64 (cos.f64 x) -1))
(+.f64 (+.f64 (cos.f64 x) -1) (*.f64 1/2 (pow.f64 y 2)))
(+.f64 (cos.f64 x) (+.f64 (*.f64 1/2 (pow.f64 y 2)) -1))
(-.f64 (+.f64 (cos.f64 x) (+.f64 (.f64 1/2 (pow.f64 y 2)) (.f64 -1/24 (pow.f64 y 4)))) 1)
(+.f64 (+.f64 (.f64 1/2 (pow.f64 y 2)) (.f64 -1/24 (pow.f64 y 4))) (+.f64 (cos.f64 x) -1))
(+.f64 (cos.f64 x) (-.f64 (+.f64 (.f64 1/2 (pow.f64 y 2)) (.f64 -1/24 (pow.f64 y 4))) 1))
(+.f64 (.f64 1/2 (pow.f64 y 2)) (+.f64 (+.f64 (cos.f64 x) (.f64 -1/24 (pow.f64 y 4))) -1))
(+.f64 (.f64 1/2 (pow.f64 y 2)) (+.f64 (cos.f64 x) (+.f64 (.f64 -1/24 (pow.f64 y 4)) -1)))
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(.f64 1/2 (+.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) (*.f64 (cos.f64 y) (-.f64 3 (sqrt.f64 5)))))
(/.f64 (.f64 2 (.f64 2 (.f64 (.f64 1/2 (+.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) (.f64 (cos.f64 y) (-.f64 3 (sqrt.f64 5))))) 4))) 16)
(+.f64 (.f64 1/2 (.f64 (cos.f64 y) (-.f64 3 (sqrt.f64 5)))) (.f64 1/2 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1))))
(.f64 1/2 (+.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) (*.f64 (cos.f64 y) (-.f64 3 (sqrt.f64 5)))))
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (.f64 1/2 (+.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) (.f64 (cos.f64 y) (-.f64 3 (sqrt.f64 5))))) 4))) (.f64 2 (.f64 2 (.f64 (.f64 1/2 (+.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) (.f64 (cos.f64 y) (-.f64 3 (sqrt.f64 5))))) 4)))) 32)
(+.f64 (.f64 1/2 (.f64 (cos.f64 y) (-.f64 3 (sqrt.f64 5)))) (.f64 1/2 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1))))
(.f64 1/2 (+.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) (*.f64 (cos.f64 y) (-.f64 3 (sqrt.f64 5)))))
(pow.f64 (.f64 1/2 (+.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) (*.f64 (cos.f64 y) (-.f64 3 (sqrt.f64 5))))) 1)
(+.f64 (.f64 1/2 (.f64 (cos.f64 y) (-.f64 3 (sqrt.f64 5)))) (.f64 1/2 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1))))
(.f64 1/2 (+.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) (*.f64 (cos.f64 y) (-.f64 3 (sqrt.f64 5)))))
(+.f64 (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16)) (-.f64 (sin.f64 y) (*.f64 (sin.f64 x) 1/16))))) 0)
(.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16)) (-.f64 (sin.f64 y) (*.f64 1/16 (sin.f64 x))))))
(.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16)) (.f64 (-.f64 (sin.f64 y) (*.f64 1/16 (sin.f64 x))) (-.f64 (cos.f64 x) (cos.f64 y)))))
(.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16)) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (-.f64 (sin.f64 y) (*.f64 1/16 (sin.f64 x))))))
(+.f64 0 (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16)) (-.f64 (sin.f64 y) (*.f64 (sin.f64 x) 1/16))))))
(.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16)) (-.f64 (sin.f64 y) (*.f64 1/16 (sin.f64 x))))))
(.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16)) (.f64 (-.f64 (sin.f64 y) (*.f64 1/16 (sin.f64 x))) (-.f64 (cos.f64 x) (cos.f64 y)))))
(.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16)) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (-.f64 (sin.f64 y) (*.f64 1/16 (sin.f64 x))))))
(+.f64 (/.f64 (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16)) (-.f64 (sin.f64 y) (.f64 (sin.f64 x) 1/16))))) 2) (/.f64 (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16)) (-.f64 (sin.f64 y) (.f64 (sin.f64 x) 1/16))))) 2))
(.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16)) (-.f64 (sin.f64 y) (*.f64 1/16 (sin.f64 x))))))
(.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16)) (.f64 (-.f64 (sin.f64 y) (*.f64 1/16 (sin.f64 x))) (-.f64 (cos.f64 x) (cos.f64 y)))))
(.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16)) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (-.f64 (sin.f64 y) (*.f64 1/16 (sin.f64 x))))))
(-.f64 (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16)) (-.f64 (sin.f64 y) (*.f64 (sin.f64 x) 1/16))))) 0)
(.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16)) (-.f64 (sin.f64 y) (*.f64 1/16 (sin.f64 x))))))
(.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16)) (.f64 (-.f64 (sin.f64 y) (*.f64 1/16 (sin.f64 x))) (-.f64 (cos.f64 x) (cos.f64 y)))))
(.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16)) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (-.f64 (sin.f64 y) (*.f64 1/16 (sin.f64 x))))))
(/.f64 (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16)) (-.f64 (sin.f64 y) (*.f64 (sin.f64 x) 1/16))))) 1)
(.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16)) (-.f64 (sin.f64 y) (*.f64 1/16 (sin.f64 x))))))
(.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16)) (.f64 (-.f64 (sin.f64 y) (*.f64 1/16 (sin.f64 x))) (-.f64 (cos.f64 x) (cos.f64 y)))))
(.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16)) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (-.f64 (sin.f64 y) (*.f64 1/16 (sin.f64 x))))))
(/.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 (.f64 2 (sin.f64 y)) (.f64 (sin.f64 x) 1/8)) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16))))) 2)
(.f64 (.f64 (-.f64 (.f64 2 (sin.f64 y)) (.f64 (sin.f64 x) 1/8)) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16)))) (/.f64 (sqrt.f64 2) 2))
(.f64 (sqrt.f64 2) (/.f64 (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16)) (-.f64 (.f64 2 (sin.f64 y)) (.f64 (sin.f64 x) 1/8)))) 2))
(.f64 (sqrt.f64 2) (/.f64 (.f64 (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16)) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (-.f64 (.f64 2 (sin.f64 y)) (.f64 (sin.f64 x) 1/8)))) 2))
(/.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16)) (.f64 (-.f64 (sin.f64 y) (.f64 (sin.f64 x) 1/16)) 4)))) 4)
(.f64 (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16)) (.f64 4 (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x)))))) (/.f64 (sqrt.f64 2) 4))
(.f64 (.f64 8 (.f64 (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16)) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x)))))) (/.f64 (sqrt.f64 2) 8))
(.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16)) (/.f64 (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x))) 8)) 8)))
(/.f64 (.f64 2 (.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16)) (.f64 (-.f64 (sin.f64 y) (*.f64 (sin.f64 x) 1/16)) 4))))) 8)
(.f64 (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16)) (.f64 4 (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x)))))) (/.f64 (sqrt.f64 2) 4))
(.f64 (.f64 8 (.f64 (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16)) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x)))))) (/.f64 (sqrt.f64 2) 8))
(.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16)) (/.f64 (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x))) 8)) 8)))
(/.f64 (.f64 2 (.f64 2 (.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16)) (.f64 (-.f64 (sin.f64 y) (.f64 (sin.f64 x) 1/16)) 4)))))) 16)
(.f64 (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16)) (.f64 4 (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x)))))) (/.f64 (sqrt.f64 2) 4))
(.f64 (.f64 8 (.f64 (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16)) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x)))))) (/.f64 (sqrt.f64 2) 8))
(.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16)) (/.f64 (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x))) 8)) 8)))
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16)) (.f64 (-.f64 (sin.f64 y) (.f64 (sin.f64 x) 1/16)) 4)))))) (.f64 2 (.f64 2 (.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16)) (.f64 (-.f64 (sin.f64 y) (.f64 (sin.f64 x) 1/16)) 4))))))) 32)
(.f64 (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16)) (.f64 4 (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x)))))) (/.f64 (sqrt.f64 2) 4))
(.f64 (.f64 8 (.f64 (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16)) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x)))))) (/.f64 (sqrt.f64 2) 8))
(.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16)) (/.f64 (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x))) 8)) 8)))
(pow.f64 (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16)) (-.f64 (sin.f64 y) (*.f64 (sin.f64 x) 1/16))))) 1)
(.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16)) (-.f64 (sin.f64 y) (*.f64 1/16 (sin.f64 x))))))
(.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16)) (.f64 (-.f64 (sin.f64 y) (*.f64 1/16 (sin.f64 x))) (-.f64 (cos.f64 x) (cos.f64 y)))))
(.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16)) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (-.f64 (sin.f64 y) (*.f64 1/16 (sin.f64 x))))))

localize97.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(*.f64 (-.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 (-.f64 (cos.f64 x) (cos.f64 y)) (*.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16)))))
	1.0b	(-.f64 3 (sqrt.f64 5))
	2.3b	(-.f64 (cos.f64 x) (cos.f64 y))

Compiler

Compiled 278 to 178 computations (36% saved)

series7.0ms (0%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
3.0ms	y	@	0	(.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (*.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16)))))
1.0ms	y	@	inf	(.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (*.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16)))))
1.0ms	x	@	0	(.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (*.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16)))))
0.0ms	y	@	inf	(*.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16)))
0.0ms	y	@	0	(*.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16)))

rewrite98.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1628×	`rational.json-1`
1628×	`rational.json-2`
1282×	`rational.json-simplify-2`
1126×	`rational.json-simplify-35`
1080×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	124
1	145	124
2	351	124
3	807	124
4	1743	124
5	3947	124
6	7550	124

Stop Event

1×	node limit

Counts

2 → 22

Calls

Call 1

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

Inputs

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

(*.f64 (-.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 (.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16)) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (-.f64 (sin.f64 y) (.f64 (sin.f64 x) 1/16))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16)) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (-.f64 (sin.f64 y) (.f64 (sin.f64 x) 1/16))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16)) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (-.f64 (sin.f64 y) (.f64 (sin.f64 x) 1/16))))) 2) (/.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16)) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (-.f64 (sin.f64 y) (.f64 (sin.f64 x) 1/16))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16)) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (-.f64 (sin.f64 y) (.f64 (sin.f64 x) 1/16))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16)) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (-.f64 (sin.f64 y) (.f64 (sin.f64 x) 1/16))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 (sin.f64 y) (.f64 (sin.f64 x) 1/16)) (.f64 (-.f64 (.f64 2 (sin.f64 x)) (.f64 (sin.f64 y) 1/8)) (.f64 (sqrt.f64 2) (-.f64 (cos.f64 x) (cos.f64 y))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (-.f64 (sin.f64 y) (.f64 (sin.f64 x) 1/16)) (.f64 (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16)) 4)))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (-.f64 (sin.f64 y) (.f64 (sin.f64 x) 1/16)) (.f64 (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16)) 4))))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (-.f64 (sin.f64 y) (.f64 (sin.f64 x) 1/16)) (.f64 (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16)) 4)))))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (-.f64 (sin.f64 y) (.f64 (sin.f64 x) 1/16)) (.f64 (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16)) 4)))))) (.f64 2 (.f64 2 (.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (-.f64 (sin.f64 y) (.f64 (sin.f64 x) 1/16)) (.f64 (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16)) 4))))))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16)) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (-.f64 (sin.f64 y) (.f64 (sin.f64 x) 1/16))))) 1)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16)) (-.f64 (sin.f64 y) (.f64 (sin.f64 x) 1/16))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16)) (-.f64 (sin.f64 y) (.f64 (sin.f64 x) 1/16))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (.f64 (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16)) (-.f64 (sin.f64 y) (.f64 (sin.f64 x) 1/16))) 2) (/.f64 (.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 -.f64 (.f64 (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16)) (-.f64 (sin.f64 y) (.f64 (sin.f64 x) 1/16))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16)) (-.f64 (sin.f64 y) (.f64 (sin.f64 x) 1/16))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16)) (-.f64 (.f64 2 (sin.f64 y)) (.f64 (sin.f64 x) 1/8))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 (sin.f64 y) (.f64 (sin.f64 x) 1/16)) (.f64 (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16)) 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (-.f64 (sin.f64 y) (.f64 (sin.f64 x) 1/16)) (.f64 (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16)) 4))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 (-.f64 (sin.f64 y) (.f64 (sin.f64 x) 1/16)) (.f64 (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16)) 4)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (-.f64 (sin.f64 y) (.f64 (sin.f64 x) 1/16)) (.f64 (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16)) 4)))) (.f64 2 (.f64 2 (.f64 (-.f64 (sin.f64 y) (.f64 (sin.f64 x) 1/16)) (.f64 (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16)) 4))))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16)) (-.f64 (sin.f64 y) (.f64 (sin.f64 x) 1/16))) 1)))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 2) (*.f64 (-.f64 (sin.f64 x) (*.f64 (sin.f64 y) 1/16)) (*.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (-.f64 (sin.f64 y) (*.f64 (sin.f64 x) 1/16))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (sqrt.f64 2) (*.f64 (-.f64 (sin.f64 x) (*.f64 (sin.f64 y) 1/16)) (*.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (-.f64 (sin.f64 y) (*.f64 (sin.f64 x) 1/16))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (-.f64 (sin.f64 x) (*.f64 (sin.f64 y) 1/16)) (*.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (-.f64 (sin.f64 y) (*.f64 (sin.f64 x) 1/16))))) 2) (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (-.f64 (sin.f64 x) (*.f64 (sin.f64 y) 1/16)) (*.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (-.f64 (sin.f64 y) (*.f64 (sin.f64 x) 1/16))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sqrt.f64 2) (*.f64 (-.f64 (sin.f64 x) (*.f64 (sin.f64 y) 1/16)) (*.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (-.f64 (sin.f64 y) (*.f64 (sin.f64 x) 1/16))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 2) (*.f64 (-.f64 (sin.f64 x) (*.f64 (sin.f64 y) 1/16)) (*.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (-.f64 (sin.f64 y) (*.f64 (sin.f64 x) 1/16))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (sin.f64 y) (*.f64 (sin.f64 x) 1/16)) (*.f64 (-.f64 (*.f64 2 (sin.f64 x)) (*.f64 (sin.f64 y) 1/8)) (*.f64 (sqrt.f64 2) (-.f64 (cos.f64 x) (cos.f64 y))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 2) (*.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (*.f64 (-.f64 (sin.f64 y) (*.f64 (sin.f64 x) 1/16)) (*.f64 (-.f64 (sin.f64 x) (*.f64 (sin.f64 y) 1/16)) 4)))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (sqrt.f64 2) (*.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (*.f64 (-.f64 (sin.f64 y) (*.f64 (sin.f64 x) 1/16)) (*.f64 (-.f64 (sin.f64 x) (*.f64 (sin.f64 y) 1/16)) 4))))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (sqrt.f64 2) (*.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (*.f64 (-.f64 (sin.f64 y) (*.f64 (sin.f64 x) 1/16)) (*.f64 (-.f64 (sin.f64 x) (*.f64 (sin.f64 y) 1/16)) 4)))))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 (sqrt.f64 2) (*.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (*.f64 (-.f64 (sin.f64 y) (*.f64 (sin.f64 x) 1/16)) (*.f64 (-.f64 (sin.f64 x) (*.f64 (sin.f64 y) 1/16)) 4)))))) (*.f64 2 (*.f64 2 (*.f64 (sqrt.f64 2) (*.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (*.f64 (-.f64 (sin.f64 y) (*.f64 (sin.f64 x) 1/16)) (*.f64 (-.f64 (sin.f64 x) (*.f64 (sin.f64 y) 1/16)) 4))))))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 2) (*.f64 (-.f64 (sin.f64 x) (*.f64 (sin.f64 y) 1/16)) (*.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (-.f64 (sin.f64 y) (*.f64 (sin.f64 x) 1/16))))) 1)))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (-.f64 (sin.f64 x) (*.f64 (sin.f64 y) 1/16)) (-.f64 (sin.f64 y) (*.f64 (sin.f64 x) 1/16))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (-.f64 (sin.f64 x) (*.f64 (sin.f64 y) 1/16)) (-.f64 (sin.f64 y) (*.f64 (sin.f64 x) 1/16))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 (-.f64 (sin.f64 x) (*.f64 (sin.f64 y) 1/16)) (-.f64 (sin.f64 y) (*.f64 (sin.f64 x) 1/16))) 2) (/.f64 (*.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 -.f64 (*.f64 (-.f64 (sin.f64 x) (*.f64 (sin.f64 y) 1/16)) (-.f64 (sin.f64 y) (*.f64 (sin.f64 x) 1/16))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (sin.f64 x) (*.f64 (sin.f64 y) 1/16)) (-.f64 (sin.f64 y) (*.f64 (sin.f64 x) 1/16))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (sin.f64 x) (*.f64 (sin.f64 y) 1/16)) (-.f64 (*.f64 2 (sin.f64 y)) (*.f64 (sin.f64 x) 1/8))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (sin.f64 y) (*.f64 (sin.f64 x) 1/16)) (*.f64 (-.f64 (sin.f64 x) (*.f64 (sin.f64 y) 1/16)) 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (-.f64 (sin.f64 y) (*.f64 (sin.f64 x) 1/16)) (*.f64 (-.f64 (sin.f64 x) (*.f64 (sin.f64 y) 1/16)) 4))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (-.f64 (sin.f64 y) (*.f64 (sin.f64 x) 1/16)) (*.f64 (-.f64 (sin.f64 x) (*.f64 (sin.f64 y) 1/16)) 4)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 (-.f64 (sin.f64 y) (*.f64 (sin.f64 x) 1/16)) (*.f64 (-.f64 (sin.f64 x) (*.f64 (sin.f64 y) 1/16)) 4)))) (*.f64 2 (*.f64 2 (*.f64 (-.f64 (sin.f64 y) (*.f64 (sin.f64 x) 1/16)) (*.f64 (-.f64 (sin.f64 x) (*.f64 (sin.f64 y) 1/16)) 4))))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (-.f64 (sin.f64 x) (*.f64 (sin.f64 y) 1/16)) (-.f64 (sin.f64 y) (*.f64 (sin.f64 x) 1/16))) 1)))))

simplify476.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

2176×	`rational.json-simplify-2`
1902×	`rational.json-simplify-35`
1080×	`rational.json-simplify-49`
970×	`rational.json-simplify-41`
864×	`rational.json-simplify-42`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	170	5020
1	412	4872
2	810	4826
3	1621	4716
4	3387	4716
5	5006	4716
6	5619	4716
7	6348	4716
8	7462	4716
9	7970	4716

Stop Event

1×	node limit

Counts

70 → 99

Calls

Call 1

Inputs
(.f64 -1/16 (.f64 (sqrt.f64 2) (*.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2))))
(+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2)))) (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (.f64 (+.f64 (*.f64 1/256 (sin.f64 y)) (sin.f64 y)) x))))
(+.f64 (.f64 (sqrt.f64 2) (.f64 (+.f64 (.f64 1/32 (pow.f64 (sin.f64 y) 2)) (.f64 -1/16 (-.f64 1 (cos.f64 y)))) (pow.f64 x 2))) (+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2)))) (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (.f64 (+.f64 (*.f64 1/256 (sin.f64 y)) (sin.f64 y)) x)))))
(+.f64 (.f64 (sqrt.f64 2) (.f64 (+.f64 (.f64 1/32 (pow.f64 (sin.f64 y) 2)) (.f64 -1/16 (-.f64 1 (cos.f64 y)))) (pow.f64 x 2))) (+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2)))) (+.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (.f64 (+.f64 (.f64 1/256 (sin.f64 y)) (sin.f64 y)) x))) (.f64 (sqrt.f64 2) (.f64 (+.f64 (.f64 (-.f64 1 (cos.f64 y)) (+.f64 (.f64 -1/1536 (sin.f64 y)) (.f64 -1/6 (sin.f64 y)))) (.f64 -1/2 (+.f64 (.f64 1/256 (sin.f64 y)) (sin.f64 y)))) (pow.f64 x 3))))))
(.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x))) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (-.f64 (sin.f64 x) (*.f64 1/16 (sin.f64 y))))))
(.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x))) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (-.f64 (sin.f64 x) (*.f64 1/16 (sin.f64 y))))))
(.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x))) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (-.f64 (sin.f64 x) (*.f64 1/16 (sin.f64 y))))))
(.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x))) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (-.f64 (sin.f64 x) (*.f64 1/16 (sin.f64 y))))))
(.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x))) (-.f64 (sin.f64 x) (*.f64 1/16 (sin.f64 y))))))
(.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x))) (-.f64 (sin.f64 x) (*.f64 1/16 (sin.f64 y))))))
(.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x))) (-.f64 (sin.f64 x) (*.f64 1/16 (sin.f64 y))))))
(.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x))) (-.f64 (sin.f64 x) (*.f64 1/16 (sin.f64 y))))))
(.f64 -1/16 (.f64 (sqrt.f64 2) (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1))))
(+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1)))) (.f64 (sqrt.f64 2) (.f64 y (.f64 (-.f64 (cos.f64 x) 1) (+.f64 (*.f64 1/256 (sin.f64 x)) (sin.f64 x))))))
(+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1)))) (+.f64 (.f64 (sqrt.f64 2) (.f64 y (.f64 (-.f64 (cos.f64 x) 1) (+.f64 (.f64 1/256 (sin.f64 x)) (sin.f64 x))))) (.f64 (sqrt.f64 2) (.f64 (pow.f64 y 2) (+.f64 (.f64 -1/32 (pow.f64 (sin.f64 x) 2)) (*.f64 -1/16 (-.f64 (cos.f64 x) 1)))))))
(+.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 y 3) (+.f64 (.f64 1/2 (+.f64 (.f64 1/256 (sin.f64 x)) (sin.f64 x))) (.f64 (+.f64 (.f64 -1/1536 (sin.f64 x)) (.f64 -1/6 (sin.f64 x))) (-.f64 (cos.f64 x) 1))))) (+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (cos.f64 x) 1)))) (+.f64 (.f64 (sqrt.f64 2) (.f64 y (.f64 (-.f64 (cos.f64 x) 1) (+.f64 (.f64 1/256 (sin.f64 x)) (sin.f64 x))))) (.f64 (sqrt.f64 2) (.f64 (pow.f64 y 2) (+.f64 (.f64 -1/32 (pow.f64 (sin.f64 x) 2)) (.f64 -1/16 (-.f64 (cos.f64 x) 1))))))))
(.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))) (.f64 (-.f64 (sin.f64 y) (*.f64 1/16 (sin.f64 x))) (-.f64 (cos.f64 x) (cos.f64 y)))))
(.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))) (.f64 (-.f64 (sin.f64 y) (*.f64 1/16 (sin.f64 x))) (-.f64 (cos.f64 x) (cos.f64 y)))))
(.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))) (.f64 (-.f64 (sin.f64 y) (*.f64 1/16 (sin.f64 x))) (-.f64 (cos.f64 x) (cos.f64 y)))))
(.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))) (.f64 (-.f64 (sin.f64 y) (*.f64 1/16 (sin.f64 x))) (-.f64 (cos.f64 x) (cos.f64 y)))))
(.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x))) (-.f64 (sin.f64 x) (*.f64 1/16 (sin.f64 y))))))
(.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x))) (-.f64 (sin.f64 x) (*.f64 1/16 (sin.f64 y))))))
(.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x))) (-.f64 (sin.f64 x) (*.f64 1/16 (sin.f64 y))))))
(.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x))) (-.f64 (sin.f64 x) (*.f64 1/16 (sin.f64 y))))))
(*.f64 -1/16 (pow.f64 (sin.f64 y) 2))
(+.f64 (.f64 (+.f64 (.f64 1/256 (sin.f64 y)) (sin.f64 y)) x) (*.f64 -1/16 (pow.f64 (sin.f64 y) 2)))
(+.f64 (.f64 (+.f64 (.f64 1/256 (sin.f64 y)) (sin.f64 y)) x) (+.f64 (.f64 -1/16 (pow.f64 x 2)) (.f64 -1/16 (pow.f64 (sin.f64 y) 2))))
(+.f64 (.f64 (+.f64 (.f64 -1/1536 (sin.f64 y)) (.f64 -1/6 (sin.f64 y))) (pow.f64 x 3)) (+.f64 (.f64 (+.f64 (.f64 1/256 (sin.f64 y)) (sin.f64 y)) x) (+.f64 (.f64 -1/16 (pow.f64 x 2)) (*.f64 -1/16 (pow.f64 (sin.f64 y) 2)))))
(.f64 (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))) (-.f64 (sin.f64 y) (*.f64 1/16 (sin.f64 x))))
(.f64 (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))) (-.f64 (sin.f64 y) (*.f64 1/16 (sin.f64 x))))
(.f64 (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))) (-.f64 (sin.f64 y) (*.f64 1/16 (sin.f64 x))))
(.f64 (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))) (-.f64 (sin.f64 y) (*.f64 1/16 (sin.f64 x))))
(.f64 (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))) (-.f64 (sin.f64 y) (*.f64 1/16 (sin.f64 x))))
(.f64 (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))) (-.f64 (sin.f64 y) (*.f64 1/16 (sin.f64 x))))
(.f64 (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))) (-.f64 (sin.f64 y) (*.f64 1/16 (sin.f64 x))))
(.f64 (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))) (-.f64 (sin.f64 y) (*.f64 1/16 (sin.f64 x))))
(*.f64 -1/16 (pow.f64 (sin.f64 x) 2))
(+.f64 (.f64 y (+.f64 (.f64 1/256 (sin.f64 x)) (sin.f64 x))) (*.f64 -1/16 (pow.f64 (sin.f64 x) 2)))
(+.f64 (.f64 y (+.f64 (.f64 1/256 (sin.f64 x)) (sin.f64 x))) (+.f64 (.f64 -1/16 (pow.f64 y 2)) (.f64 -1/16 (pow.f64 (sin.f64 x) 2))))
(+.f64 (.f64 y (+.f64 (.f64 1/256 (sin.f64 x)) (sin.f64 x))) (+.f64 (.f64 (pow.f64 y 3) (+.f64 (.f64 -1/1536 (sin.f64 x)) (.f64 -1/6 (sin.f64 x)))) (+.f64 (.f64 -1/16 (pow.f64 y 2)) (*.f64 -1/16 (pow.f64 (sin.f64 x) 2)))))
(.f64 (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))) (-.f64 (sin.f64 y) (*.f64 1/16 (sin.f64 x))))
(.f64 (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))) (-.f64 (sin.f64 y) (*.f64 1/16 (sin.f64 x))))
(.f64 (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))) (-.f64 (sin.f64 y) (*.f64 1/16 (sin.f64 x))))
(.f64 (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))) (-.f64 (sin.f64 y) (*.f64 1/16 (sin.f64 x))))
(.f64 (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))) (-.f64 (sin.f64 y) (*.f64 1/16 (sin.f64 x))))
(.f64 (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))) (-.f64 (sin.f64 y) (*.f64 1/16 (sin.f64 x))))
(.f64 (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))) (-.f64 (sin.f64 y) (*.f64 1/16 (sin.f64 x))))
(.f64 (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))) (-.f64 (sin.f64 y) (*.f64 1/16 (sin.f64 x))))
(+.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16)) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (-.f64 (sin.f64 y) (*.f64 (sin.f64 x) 1/16))))) 0)
(+.f64 0 (.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16)) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (-.f64 (sin.f64 y) (*.f64 (sin.f64 x) 1/16))))))
(+.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16)) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (-.f64 (sin.f64 y) (.f64 (sin.f64 x) 1/16))))) 2) (/.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16)) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (-.f64 (sin.f64 y) (.f64 (sin.f64 x) 1/16))))) 2))
(-.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16)) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (-.f64 (sin.f64 y) (*.f64 (sin.f64 x) 1/16))))) 0)
(/.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16)) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (-.f64 (sin.f64 y) (*.f64 (sin.f64 x) 1/16))))) 1)
(/.f64 (.f64 (-.f64 (sin.f64 y) (.f64 (sin.f64 x) 1/16)) (.f64 (-.f64 (.f64 2 (sin.f64 x)) (.f64 (sin.f64 y) 1/8)) (.f64 (sqrt.f64 2) (-.f64 (cos.f64 x) (cos.f64 y))))) 2)
(/.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (-.f64 (sin.f64 y) (.f64 (sin.f64 x) 1/16)) (.f64 (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16)) 4)))) 4)
(/.f64 (.f64 2 (.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (-.f64 (sin.f64 y) (.f64 (sin.f64 x) 1/16)) (.f64 (-.f64 (sin.f64 x) (*.f64 (sin.f64 y) 1/16)) 4))))) 8)
(/.f64 (.f64 2 (.f64 2 (.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (-.f64 (sin.f64 y) (.f64 (sin.f64 x) 1/16)) (.f64 (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16)) 4)))))) 16)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (-.f64 (sin.f64 y) (.f64 (sin.f64 x) 1/16)) (.f64 (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16)) 4)))))) (.f64 2 (.f64 2 (.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (-.f64 (sin.f64 y) (.f64 (sin.f64 x) 1/16)) (.f64 (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16)) 4))))))) 32)
(pow.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16)) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (-.f64 (sin.f64 y) (*.f64 (sin.f64 x) 1/16))))) 1)
(+.f64 (.f64 (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16)) (-.f64 (sin.f64 y) (*.f64 (sin.f64 x) 1/16))) 0)
(+.f64 0 (.f64 (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16)) (-.f64 (sin.f64 y) (*.f64 (sin.f64 x) 1/16))))
(+.f64 (/.f64 (.f64 (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16)) (-.f64 (sin.f64 y) (.f64 (sin.f64 x) 1/16))) 2) (/.f64 (.f64 (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16)) (-.f64 (sin.f64 y) (.f64 (sin.f64 x) 1/16))) 2))
(-.f64 (.f64 (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16)) (-.f64 (sin.f64 y) (*.f64 (sin.f64 x) 1/16))) 0)
(/.f64 (.f64 (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16)) (-.f64 (sin.f64 y) (*.f64 (sin.f64 x) 1/16))) 1)
(/.f64 (.f64 (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16)) (-.f64 (.f64 2 (sin.f64 y)) (.f64 (sin.f64 x) 1/8))) 2)
(/.f64 (.f64 (-.f64 (sin.f64 y) (.f64 (sin.f64 x) 1/16)) (.f64 (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16)) 4)) 4)
(/.f64 (.f64 2 (.f64 (-.f64 (sin.f64 y) (.f64 (sin.f64 x) 1/16)) (.f64 (-.f64 (sin.f64 x) (*.f64 (sin.f64 y) 1/16)) 4))) 8)
(/.f64 (.f64 2 (.f64 2 (.f64 (-.f64 (sin.f64 y) (.f64 (sin.f64 x) 1/16)) (.f64 (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16)) 4)))) 16)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (-.f64 (sin.f64 y) (.f64 (sin.f64 x) 1/16)) (.f64 (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16)) 4)))) (.f64 2 (.f64 2 (.f64 (-.f64 (sin.f64 y) (.f64 (sin.f64 x) 1/16)) (.f64 (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16)) 4))))) 32)
(pow.f64 (.f64 (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16)) (-.f64 (sin.f64 y) (*.f64 (sin.f64 x) 1/16))) 1)

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

localize547.0ms (1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(*.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))
✓	0.4b	(*.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)))
	1.0b	(-.f64 3 (sqrt.f64 5))
	2.3b	(-.f64 (cos.f64 x) (cos.f64 y))

Compiler

Compiled 269 to 178 computations (33.8% saved)

series3.0ms (0%)

Counts

2 → 36

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	x	@	-inf	(*.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))
0.0ms	x	@	0	(*.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)))
0.0ms	x	@	-inf	(*.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)))
0.0ms	y	@	-inf	(*.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)))
0.0ms	x	@	inf	(*.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)))

rewrite96.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1332×	`exponential.json-3`
1332×	`rational.json-1`
1332×	`rational.json-2`
1332×	`rational.json-4`
1332×	`rational.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	58
1	148	58
2	324	58
3	673	58
4	1377	58
5	3408	58
6	6497	58

Stop Event

1×	node limit

Counts

2 → 22

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (*.f64 (sin.f64 y) 1/16))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.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 (-.f64 (sin.f64 x) (*.f64 (sin.f64 y) 1/16)) 1/2)) (*.f64 (sqrt.f64 2) (*.f64 (-.f64 (sin.f64 x) (*.f64 (sin.f64 y) 1/16)) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (*.f64 (sin.f64 y) 1/16))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (*.f64 (sin.f64 y) 1/16))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 2) (*.f64 2 (-.f64 (sin.f64 x) (*.f64 (sin.f64 y) 1/16)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (sin.f64 x) (*.f64 (sin.f64 y) 1/16)) (*.f64 (sqrt.f64 2) 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (-.f64 (sin.f64 x) (*.f64 (sin.f64 y) 1/16)) (*.f64 (sqrt.f64 2) 4))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (-.f64 (sin.f64 x) (*.f64 (sin.f64 y) 1/16)) (*.f64 (sqrt.f64 2) 4)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 (-.f64 (sin.f64 x) (*.f64 (sin.f64 y) 1/16)) (*.f64 (sqrt.f64 2) 4)))) (*.f64 2 (*.f64 2 (*.f64 (-.f64 (sin.f64 x) (*.f64 (sin.f64 y) 1/16)) (*.f64 (sqrt.f64 2) 4))))) 32)))) (#(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 +.f64 (*.f64 (+.f64 (sqrt.f64 5) -1) (*.f64 (cos.f64 x) 1/2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (+.f64 (sqrt.f64 5) -1) (*.f64 (cos.f64 x) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 (sqrt.f64 5) -1) (*.f64 (cos.f64 x) 1/4)) (*.f64 (+.f64 (sqrt.f64 5) -1) (*.f64 (cos.f64 x) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (+.f64 (sqrt.f64 5) -1) (*.f64 (cos.f64 x) 1/2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (sqrt.f64 5) -1) (*.f64 (cos.f64 x) 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (sqrt.f64 5) -1) (cos.f64 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (+.f64 (sqrt.f64 5) -1) (cos.f64 x))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 4 (*.f64 (+.f64 (sqrt.f64 5) -1) (cos.f64 x))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 4 (*.f64 (+.f64 (sqrt.f64 5) -1) (cos.f64 x)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 4 (*.f64 (+.f64 (sqrt.f64 5) -1) (cos.f64 x)))) (*.f64 2 (*.f64 4 (*.f64 (+.f64 (sqrt.f64 5) -1) (cos.f64 x))))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 (sqrt.f64 5) -1) (*.f64 (cos.f64 x) 1/2)) 1)))))

simplify249.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

2136×	`rational.json-simplify-2`
1914×	`rational.json-simplify-35`
1016×	`rational.json-simplify-43`
880×	`rational.json-simplify-26`
712×	`rational.json-simplify-1`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	126	2048
1	303	1940
2	619	1868
3	1250	1832
4	3268	1832
5	4446	1832
6	4766	1832
7	5163	1832
8	6198	1832
9	6766	1832
10	7809	1832

Stop Event

1×	node limit

Counts

58 → 70

Calls

Call 1

Inputs
(.f64 -1/16 (.f64 (sqrt.f64 2) (sin.f64 y)))
(+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) (sin.f64 y))) (*.f64 (sqrt.f64 2) x))
(+.f64 (.f64 -1/6 (.f64 (sqrt.f64 2) (pow.f64 x 3))) (+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) (sin.f64 y))) (*.f64 (sqrt.f64 2) x)))
(+.f64 (.f64 -1/6 (.f64 (sqrt.f64 2) (pow.f64 x 3))) (+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) (sin.f64 y))) (+.f64 (.f64 (sqrt.f64 2) x) (.f64 1/120 (*.f64 (sqrt.f64 2) (pow.f64 x 5))))))
(.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))))
(.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))))
(.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))))
(.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))))
(.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))))
(.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))))
(.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))))
(.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))))
(*.f64 (sqrt.f64 2) (sin.f64 x))
(+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) y)) (*.f64 (sqrt.f64 2) (sin.f64 x)))
(+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) y)) (+.f64 (.f64 1/96 (.f64 (sqrt.f64 2) (pow.f64 y 3))) (*.f64 (sqrt.f64 2) (sin.f64 x))))
(+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) y)) (+.f64 (.f64 1/96 (.f64 (sqrt.f64 2) (pow.f64 y 3))) (+.f64 (.f64 (sqrt.f64 2) (sin.f64 x)) (.f64 -1/1920 (*.f64 (sqrt.f64 2) (pow.f64 y 5))))))
(.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))))
(.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))))
(.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))))
(.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))))
(.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))))
(.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))))
(.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))))
(.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))))
(*.f64 1/2 (-.f64 (sqrt.f64 5) 1))
(+.f64 (.f64 -1/4 (.f64 (-.f64 (sqrt.f64 5) 1) (pow.f64 x 2))) (*.f64 1/2 (-.f64 (sqrt.f64 5) 1)))
(+.f64 (.f64 1/48 (.f64 (-.f64 (sqrt.f64 5) 1) (pow.f64 x 4))) (+.f64 (.f64 -1/4 (.f64 (-.f64 (sqrt.f64 5) 1) (pow.f64 x 2))) (*.f64 1/2 (-.f64 (sqrt.f64 5) 1))))
(+.f64 (.f64 1/48 (.f64 (-.f64 (sqrt.f64 5) 1) (pow.f64 x 4))) (+.f64 (.f64 -1/4 (.f64 (-.f64 (sqrt.f64 5) 1) (pow.f64 x 2))) (+.f64 (.f64 -1/1440 (.f64 (-.f64 (sqrt.f64 5) 1) (pow.f64 x 6))) (*.f64 1/2 (-.f64 (sqrt.f64 5) 1)))))
(.f64 1/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))
(.f64 1/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))
(.f64 1/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))
(.f64 1/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))
(.f64 1/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))
(.f64 1/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))
(.f64 1/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))
(.f64 1/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))
(+.f64 (.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16))) 0)
(+.f64 0 (.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16))))
(+.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16)) 1/2)) (.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16)) 1/2)))
(-.f64 (.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16))) 0)
(/.f64 (.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16))) 1)
(/.f64 (.f64 (sqrt.f64 2) (.f64 2 (-.f64 (sin.f64 x) (*.f64 (sin.f64 y) 1/16)))) 2)
(/.f64 (.f64 (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16)) (*.f64 (sqrt.f64 2) 4)) 4)
(/.f64 (.f64 2 (.f64 (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16)) (.f64 (sqrt.f64 2) 4))) 8)
(/.f64 (.f64 2 (.f64 2 (.f64 (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16)) (*.f64 (sqrt.f64 2) 4)))) 16)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16)) (.f64 (sqrt.f64 2) 4)))) (.f64 2 (.f64 2 (.f64 (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16)) (.f64 (sqrt.f64 2) 4))))) 32)
(pow.f64 (.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16))) 1)
(+.f64 (.f64 (+.f64 (sqrt.f64 5) -1) (.f64 (cos.f64 x) 1/2)) 0)
(+.f64 0 (.f64 (+.f64 (sqrt.f64 5) -1) (.f64 (cos.f64 x) 1/2)))
(+.f64 (.f64 (+.f64 (sqrt.f64 5) -1) (.f64 (cos.f64 x) 1/4)) (.f64 (+.f64 (sqrt.f64 5) -1) (.f64 (cos.f64 x) 1/4)))
(-.f64 (.f64 (+.f64 (sqrt.f64 5) -1) (.f64 (cos.f64 x) 1/2)) 0)
(/.f64 (.f64 (+.f64 (sqrt.f64 5) -1) (.f64 (cos.f64 x) 1/2)) 1)
(/.f64 (*.f64 (+.f64 (sqrt.f64 5) -1) (cos.f64 x)) 2)
(/.f64 (.f64 2 (.f64 (+.f64 (sqrt.f64 5) -1) (cos.f64 x))) 4)
(/.f64 (.f64 4 (.f64 (+.f64 (sqrt.f64 5) -1) (cos.f64 x))) 8)
(/.f64 (.f64 2 (.f64 4 (*.f64 (+.f64 (sqrt.f64 5) -1) (cos.f64 x)))) 16)
(/.f64 (+.f64 (.f64 2 (.f64 4 (.f64 (+.f64 (sqrt.f64 5) -1) (cos.f64 x)))) (.f64 2 (.f64 4 (.f64 (+.f64 (sqrt.f64 5) -1) (cos.f64 x))))) 32)
(pow.f64 (.f64 (+.f64 (sqrt.f64 5) -1) (.f64 (cos.f64 x) 1/2)) 1)

Outputs
(.f64 -1/16 (.f64 (sqrt.f64 2) (sin.f64 y)))
(.f64 (sqrt.f64 2) (.f64 -1/16 (sin.f64 y)))
(+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) (sin.f64 y))) (*.f64 (sqrt.f64 2) x))
(.f64 (sqrt.f64 2) (+.f64 x (.f64 -1/16 (sin.f64 y))))
(+.f64 (.f64 -1/6 (.f64 (sqrt.f64 2) (pow.f64 x 3))) (+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) (sin.f64 y))) (*.f64 (sqrt.f64 2) x)))
(+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) (sin.f64 y))) (+.f64 (.f64 (sqrt.f64 2) x) (.f64 (sqrt.f64 2) (*.f64 (pow.f64 x 3) -1/6))))
(+.f64 (.f64 (sqrt.f64 2) (+.f64 x (.f64 -1/16 (sin.f64 y)))) (.f64 -1/6 (.f64 (sqrt.f64 2) (pow.f64 x 3))))
(.f64 (sqrt.f64 2) (+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 x (*.f64 -1/16 (sin.f64 y)))))
(.f64 (sqrt.f64 2) (+.f64 x (+.f64 (.f64 -1/6 (pow.f64 x 3)) (*.f64 -1/16 (sin.f64 y)))))
(+.f64 (.f64 -1/6 (.f64 (sqrt.f64 2) (pow.f64 x 3))) (+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) (sin.f64 y))) (+.f64 (.f64 (sqrt.f64 2) x) (.f64 1/120 (*.f64 (sqrt.f64 2) (pow.f64 x 5))))))
(+.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 x 3) -1/6)) (+.f64 (.f64 (sqrt.f64 2) x) (+.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 x 5) 1/120)) (.f64 -1/16 (*.f64 (sqrt.f64 2) (sin.f64 y))))))
(+.f64 (.f64 -1/6 (.f64 (sqrt.f64 2) (pow.f64 x 3))) (+.f64 (.f64 (sqrt.f64 2) (.f64 -1/16 (sin.f64 y))) (.f64 (sqrt.f64 2) (+.f64 x (.f64 1/120 (pow.f64 x 5))))))
(+.f64 (.f64 (sqrt.f64 2) (.f64 1/120 (pow.f64 x 5))) (.f64 (sqrt.f64 2) (+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 x (*.f64 -1/16 (sin.f64 y))))))
(.f64 (sqrt.f64 2) (+.f64 (.f64 -1/16 (sin.f64 y)) (+.f64 (.f64 1/120 (pow.f64 x 5)) (+.f64 x (.f64 -1/6 (pow.f64 x 3))))))
(.f64 (sqrt.f64 2) (+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 x (+.f64 (.f64 1/120 (pow.f64 x 5)) (.f64 -1/16 (sin.f64 y))))))
(.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))))
(.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16)))
(.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))))
(.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16)))
(.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))))
(.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16)))
(.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))))
(.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16)))
(.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))))
(.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16)))
(.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))))
(.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16)))
(.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))))
(.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16)))
(.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))))
(.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16)))
(*.f64 (sqrt.f64 2) (sin.f64 x))
(+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) y)) (*.f64 (sqrt.f64 2) (sin.f64 x)))
(+.f64 (.f64 (sqrt.f64 2) (sin.f64 x)) (.f64 -1/16 (*.f64 (sqrt.f64 2) y)))
(.f64 (sqrt.f64 2) (+.f64 (sin.f64 x) (.f64 -1/16 y)))
(+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) y)) (+.f64 (.f64 1/96 (.f64 (sqrt.f64 2) (pow.f64 y 3))) (*.f64 (sqrt.f64 2) (sin.f64 x))))
(+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) y)) (+.f64 (.f64 (sqrt.f64 2) (sin.f64 x)) (.f64 (sqrt.f64 2) (*.f64 (pow.f64 y 3) 1/96))))
(+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) y)) (.f64 (sqrt.f64 2) (+.f64 (sin.f64 x) (.f64 1/96 (pow.f64 y 3)))))
(.f64 (sqrt.f64 2) (+.f64 (.f64 1/96 (pow.f64 y 3)) (+.f64 (sin.f64 x) (*.f64 -1/16 y))))
(.f64 (sqrt.f64 2) (+.f64 (sin.f64 x) (+.f64 (.f64 -1/16 y) (*.f64 1/96 (pow.f64 y 3)))))
(+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) y)) (+.f64 (.f64 1/96 (.f64 (sqrt.f64 2) (pow.f64 y 3))) (+.f64 (.f64 (sqrt.f64 2) (sin.f64 x)) (.f64 -1/1920 (*.f64 (sqrt.f64 2) (pow.f64 y 5))))))
(+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) y)) (+.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 y 3) 1/96)) (+.f64 (.f64 (sqrt.f64 2) (sin.f64 x)) (.f64 (sqrt.f64 2) (*.f64 (pow.f64 y 5) -1/1920)))))
(+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) y)) (+.f64 (.f64 (sqrt.f64 2) (.f64 -1/1920 (pow.f64 y 5))) (.f64 (sqrt.f64 2) (+.f64 (sin.f64 x) (.f64 1/96 (pow.f64 y 3))))))
(+.f64 (.f64 (sqrt.f64 2) (.f64 -1/1920 (pow.f64 y 5))) (.f64 (sqrt.f64 2) (+.f64 (.f64 1/96 (pow.f64 y 3)) (+.f64 (sin.f64 x) (*.f64 -1/16 y)))))
(.f64 (sqrt.f64 2) (+.f64 (.f64 1/96 (pow.f64 y 3)) (+.f64 (.f64 -1/1920 (pow.f64 y 5)) (+.f64 (sin.f64 x) (.f64 -1/16 y)))))
(.f64 (sqrt.f64 2) (+.f64 (.f64 -1/16 y) (+.f64 (.f64 -1/1920 (pow.f64 y 5)) (+.f64 (sin.f64 x) (.f64 1/96 (pow.f64 y 3))))))
(.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))))
(.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16)))
(.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))))
(.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16)))
(.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))))
(.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16)))
(.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))))
(.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16)))
(.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))))
(.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16)))
(.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))))
(.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16)))
(.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))))
(.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16)))
(.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (.f64 1/16 (sin.f64 y))))
(.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16)))
(*.f64 1/2 (-.f64 (sqrt.f64 5) 1))
(*.f64 1/2 (+.f64 (sqrt.f64 5) -1))
(+.f64 (.f64 -1/4 (.f64 (-.f64 (sqrt.f64 5) 1) (pow.f64 x 2))) (*.f64 1/2 (-.f64 (sqrt.f64 5) 1)))
(+.f64 (.f64 1/2 (+.f64 (sqrt.f64 5) -1)) (.f64 (+.f64 (sqrt.f64 5) -1) (*.f64 (pow.f64 x 2) -1/4)))
(.f64 (+.f64 (sqrt.f64 5) -1) (+.f64 1/2 (.f64 -1/4 (pow.f64 x 2))))
(+.f64 (.f64 1/48 (.f64 (-.f64 (sqrt.f64 5) 1) (pow.f64 x 4))) (+.f64 (.f64 -1/4 (.f64 (-.f64 (sqrt.f64 5) 1) (pow.f64 x 2))) (*.f64 1/2 (-.f64 (sqrt.f64 5) 1))))
(+.f64 (.f64 (+.f64 (sqrt.f64 5) -1) (.f64 (pow.f64 x 2) -1/4)) (+.f64 (.f64 1/2 (+.f64 (sqrt.f64 5) -1)) (.f64 (+.f64 (sqrt.f64 5) -1) (*.f64 (pow.f64 x 4) 1/48))))
(+.f64 (.f64 (+.f64 (sqrt.f64 5) -1) (+.f64 1/2 (.f64 -1/4 (pow.f64 x 2)))) (.f64 (+.f64 (sqrt.f64 5) -1) (.f64 1/48 (pow.f64 x 4))))
(.f64 (+.f64 (sqrt.f64 5) -1) (+.f64 (.f64 1/48 (pow.f64 x 4)) (+.f64 1/2 (*.f64 -1/4 (pow.f64 x 2)))))
(+.f64 (.f64 1/48 (.f64 (-.f64 (sqrt.f64 5) 1) (pow.f64 x 4))) (+.f64 (.f64 -1/4 (.f64 (-.f64 (sqrt.f64 5) 1) (pow.f64 x 2))) (+.f64 (.f64 -1/1440 (.f64 (-.f64 (sqrt.f64 5) 1) (pow.f64 x 6))) (*.f64 1/2 (-.f64 (sqrt.f64 5) 1)))))
(+.f64 (.f64 (+.f64 (sqrt.f64 5) -1) (.f64 (pow.f64 x 2) -1/4)) (+.f64 (+.f64 (.f64 1/2 (+.f64 (sqrt.f64 5) -1)) (.f64 (+.f64 (sqrt.f64 5) -1) (.f64 (pow.f64 x 6) -1/1440))) (.f64 (+.f64 (sqrt.f64 5) -1) (*.f64 (pow.f64 x 4) 1/48))))
(+.f64 (.f64 (+.f64 (sqrt.f64 5) -1) (.f64 1/48 (pow.f64 x 4))) (+.f64 (.f64 (+.f64 (sqrt.f64 5) -1) (.f64 -1/4 (pow.f64 x 2))) (.f64 (+.f64 (sqrt.f64 5) -1) (+.f64 1/2 (.f64 -1/1440 (pow.f64 x 6))))))
(+.f64 (.f64 (+.f64 (sqrt.f64 5) -1) (.f64 -1/4 (pow.f64 x 2))) (.f64 (+.f64 (sqrt.f64 5) -1) (+.f64 (.f64 1/48 (pow.f64 x 4)) (+.f64 1/2 (*.f64 -1/1440 (pow.f64 x 6))))))
(.f64 (+.f64 (sqrt.f64 5) -1) (+.f64 (.f64 -1/1440 (pow.f64 x 6)) (+.f64 (.f64 1/48 (pow.f64 x 4)) (+.f64 1/2 (.f64 -1/4 (pow.f64 x 2))))))
(.f64 1/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))
(.f64 1/2 (.f64 (+.f64 (sqrt.f64 5) -1) (cos.f64 x)))
(.f64 1/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))
(.f64 1/2 (.f64 (+.f64 (sqrt.f64 5) -1) (cos.f64 x)))
(.f64 1/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))
(.f64 1/2 (.f64 (+.f64 (sqrt.f64 5) -1) (cos.f64 x)))
(.f64 1/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))
(.f64 1/2 (.f64 (+.f64 (sqrt.f64 5) -1) (cos.f64 x)))
(.f64 1/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))
(.f64 1/2 (.f64 (+.f64 (sqrt.f64 5) -1) (cos.f64 x)))
(.f64 1/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))
(.f64 1/2 (.f64 (+.f64 (sqrt.f64 5) -1) (cos.f64 x)))
(.f64 1/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))
(.f64 1/2 (.f64 (+.f64 (sqrt.f64 5) -1) (cos.f64 x)))
(.f64 1/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))
(.f64 1/2 (.f64 (+.f64 (sqrt.f64 5) -1) (cos.f64 x)))
(+.f64 (.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16))) 0)
(.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16)))
(+.f64 0 (.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16))))
(.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16)))
(+.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16)) 1/2)) (.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16)) 1/2)))
(.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16)))
(-.f64 (.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16))) 0)
(.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16)))
(/.f64 (.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16))) 1)
(.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16)))
(/.f64 (.f64 (sqrt.f64 2) (.f64 2 (-.f64 (sin.f64 x) (*.f64 (sin.f64 y) 1/16)))) 2)
(.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16)))
(/.f64 (.f64 (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16)) (*.f64 (sqrt.f64 2) 4)) 4)
(.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16)))
(/.f64 (.f64 2 (.f64 (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16)) (.f64 (sqrt.f64 2) 4))) 8)
(.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16)))
(/.f64 (.f64 2 (.f64 2 (.f64 (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16)) (*.f64 (sqrt.f64 2) 4)))) 16)
(.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16)))
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16)) (.f64 (sqrt.f64 2) 4)))) (.f64 2 (.f64 2 (.f64 (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16)) (.f64 (sqrt.f64 2) 4))))) 32)
(.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16)))
(pow.f64 (.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16))) 1)
(.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16)))
(+.f64 (.f64 (+.f64 (sqrt.f64 5) -1) (.f64 (cos.f64 x) 1/2)) 0)
(.f64 1/2 (.f64 (+.f64 (sqrt.f64 5) -1) (cos.f64 x)))
(+.f64 0 (.f64 (+.f64 (sqrt.f64 5) -1) (.f64 (cos.f64 x) 1/2)))
(.f64 1/2 (.f64 (+.f64 (sqrt.f64 5) -1) (cos.f64 x)))
(+.f64 (.f64 (+.f64 (sqrt.f64 5) -1) (.f64 (cos.f64 x) 1/4)) (.f64 (+.f64 (sqrt.f64 5) -1) (.f64 (cos.f64 x) 1/4)))
(.f64 1/2 (.f64 (+.f64 (sqrt.f64 5) -1) (cos.f64 x)))
(-.f64 (.f64 (+.f64 (sqrt.f64 5) -1) (.f64 (cos.f64 x) 1/2)) 0)
(.f64 1/2 (.f64 (+.f64 (sqrt.f64 5) -1) (cos.f64 x)))
(/.f64 (.f64 (+.f64 (sqrt.f64 5) -1) (.f64 (cos.f64 x) 1/2)) 1)
(.f64 1/2 (.f64 (+.f64 (sqrt.f64 5) -1) (cos.f64 x)))
(/.f64 (*.f64 (+.f64 (sqrt.f64 5) -1) (cos.f64 x)) 2)
(.f64 1/2 (.f64 (+.f64 (sqrt.f64 5) -1) (cos.f64 x)))
(/.f64 (.f64 2 (.f64 (+.f64 (sqrt.f64 5) -1) (cos.f64 x))) 4)
(.f64 1/2 (.f64 (+.f64 (sqrt.f64 5) -1) (cos.f64 x)))
(/.f64 (.f64 4 (.f64 (+.f64 (sqrt.f64 5) -1) (cos.f64 x))) 8)
(.f64 1/2 (.f64 (+.f64 (sqrt.f64 5) -1) (cos.f64 x)))
(/.f64 (.f64 2 (.f64 4 (*.f64 (+.f64 (sqrt.f64 5) -1) (cos.f64 x)))) 16)
(.f64 1/2 (.f64 (+.f64 (sqrt.f64 5) -1) (cos.f64 x)))
(/.f64 (+.f64 (.f64 2 (.f64 4 (.f64 (+.f64 (sqrt.f64 5) -1) (cos.f64 x)))) (.f64 2 (.f64 4 (.f64 (+.f64 (sqrt.f64 5) -1) (cos.f64 x))))) 32)
(.f64 1/2 (.f64 (+.f64 (sqrt.f64 5) -1) (cos.f64 x)))
(pow.f64 (.f64 (+.f64 (sqrt.f64 5) -1) (.f64 (cos.f64 x) 1/2)) 1)
(.f64 1/2 (.f64 (+.f64 (sqrt.f64 5) -1) (cos.f64 x)))

localize289.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(*.f64 (cos.f64 x) (/.f64 (+.f64 (sqrt.f64 5) -1) 2))
	0.6b	(+.f64 (.f64 (cos.f64 x) (/.f64 (+.f64 (sqrt.f64 5) -1) 2)) (.f64 (cos.f64 y) (/.f64 (-.f64 3 (sqrt.f64 5)) 2)))
	1.0b	(-.f64 3 (sqrt.f64 5))
	2.3b	(-.f64 (cos.f64 x) (cos.f64 y))

Compiler

Compiled 279 to 175 computations (37.3% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite109.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1536×	`rational.json-simplify-35`
1320×	`rational.json-1`
1320×	`rational.json-2`
1320×	`rational.json-3`
1316×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	27
1	86	27
2	190	27
3	380	27
4	768	27
5	1882	27
6	3728	27
7	5250	27
8	6765	27

Stop Event

1×	node limit

Counts

1 → 14

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 x) (*.f64 (+.f64 (sqrt.f64 5) -1) 1/2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (cos.f64 x) (*.f64 (+.f64 (sqrt.f64 5) -1) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 x) (*.f64 (+.f64 (sqrt.f64 5) -1) 1/4)) (*.f64 (cos.f64 x) (*.f64 (+.f64 (sqrt.f64 5) -1) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (cos.f64 x) 1/8) (+.f64 (*.f64 (sqrt.f64 5) 2) -2)) (*.f64 (*.f64 (cos.f64 x) 1/8) (+.f64 (*.f64 (sqrt.f64 5) 2) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (cos.f64 x) (*.f64 (+.f64 (sqrt.f64 5) -1) 1/2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 x) (*.f64 (+.f64 (sqrt.f64 5) -1) 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 x) (+.f64 (*.f64 (sqrt.f64 5) 2) -2)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 x) (*.f64 (+.f64 (sqrt.f64 5) -1) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (cos.f64 x) (*.f64 (+.f64 (sqrt.f64 5) -1) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (cos.f64 x) (*.f64 (+.f64 (sqrt.f64 5) -1) 4)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (cos.f64 x) (*.f64 (+.f64 (sqrt.f64 5) -1) 4))))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (cos.f64 x) (*.f64 (+.f64 (sqrt.f64 5) -1) 4)))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (cos.f64 x) (*.f64 (+.f64 (sqrt.f64 5) -1) 1/2)) 1)))))

simplify411.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

2382×	`rational.json-simplify-2`
1882×	`rational.json-simplify-35`
1482×	`rational.json-simplify-1`
1366×	`rational.json-simplify-53`
964×	`rational.json-simplify-48`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	74	954
1	187	862
2	345	798
3	690	782
4	1673	782
5	2857	782
6	3988	782
7	4362	782
8	4533	782
9	4717	782
10	4911	782
11	5270	782
12	5974	782
13	6561	782
14	6816	782
15	6824	782
16	6824	782
17	7861	782

Stop Event

1×	node limit

Counts

26 → 35

Calls

Call 1

Inputs
(*.f64 1/2 (-.f64 (sqrt.f64 5) 1))
(+.f64 (.f64 -1/4 (.f64 (-.f64 (sqrt.f64 5) 1) (pow.f64 x 2))) (*.f64 1/2 (-.f64 (sqrt.f64 5) 1)))
(+.f64 (.f64 1/48 (.f64 (-.f64 (sqrt.f64 5) 1) (pow.f64 x 4))) (+.f64 (.f64 -1/4 (.f64 (-.f64 (sqrt.f64 5) 1) (pow.f64 x 2))) (*.f64 1/2 (-.f64 (sqrt.f64 5) 1))))
(+.f64 (.f64 1/48 (.f64 (-.f64 (sqrt.f64 5) 1) (pow.f64 x 4))) (+.f64 (.f64 -1/4 (.f64 (-.f64 (sqrt.f64 5) 1) (pow.f64 x 2))) (+.f64 (.f64 -1/1440 (.f64 (-.f64 (sqrt.f64 5) 1) (pow.f64 x 6))) (*.f64 1/2 (-.f64 (sqrt.f64 5) 1)))))
(.f64 1/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))
(.f64 1/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))
(.f64 1/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))
(.f64 1/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))
(.f64 1/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))
(.f64 1/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))
(.f64 1/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))
(.f64 1/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))
(+.f64 (.f64 (cos.f64 x) (.f64 (+.f64 (sqrt.f64 5) -1) 1/2)) 0)
(+.f64 0 (.f64 (cos.f64 x) (.f64 (+.f64 (sqrt.f64 5) -1) 1/2)))
(+.f64 (.f64 (cos.f64 x) (.f64 (+.f64 (sqrt.f64 5) -1) 1/4)) (.f64 (cos.f64 x) (.f64 (+.f64 (sqrt.f64 5) -1) 1/4)))
(+.f64 (.f64 (.f64 (cos.f64 x) 1/8) (+.f64 (.f64 (sqrt.f64 5) 2) -2)) (.f64 (.f64 (cos.f64 x) 1/8) (+.f64 (.f64 (sqrt.f64 5) 2) -2)))
(-.f64 (.f64 (cos.f64 x) (.f64 (+.f64 (sqrt.f64 5) -1) 1/2)) 0)
(/.f64 (.f64 (cos.f64 x) (.f64 (+.f64 (sqrt.f64 5) -1) 1/2)) 1)
(/.f64 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) 2)
(/.f64 (.f64 (cos.f64 x) (+.f64 (.f64 (sqrt.f64 5) 2) -2)) 4)
(/.f64 (.f64 (cos.f64 x) (.f64 (+.f64 (sqrt.f64 5) -1) 4)) 8)
(/.f64 (.f64 2 (.f64 (cos.f64 x) (*.f64 (+.f64 (sqrt.f64 5) -1) 4))) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 (cos.f64 x) (.f64 (+.f64 (sqrt.f64 5) -1) 4)))) 32)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (cos.f64 x) (*.f64 (+.f64 (sqrt.f64 5) -1) 4))))) 64)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (cos.f64 x) (.f64 (+.f64 (sqrt.f64 5) -1) 4)))))) 128)
(pow.f64 (.f64 (cos.f64 x) (.f64 (+.f64 (sqrt.f64 5) -1) 1/2)) 1)

Outputs
(*.f64 1/2 (-.f64 (sqrt.f64 5) 1))
(*.f64 1/2 (+.f64 (sqrt.f64 5) -1))
(+.f64 (.f64 -1/4 (.f64 (-.f64 (sqrt.f64 5) 1) (pow.f64 x 2))) (*.f64 1/2 (-.f64 (sqrt.f64 5) 1)))
(+.f64 (.f64 1/2 (+.f64 (sqrt.f64 5) -1)) (.f64 (+.f64 (sqrt.f64 5) -1) (*.f64 (pow.f64 x 2) -1/4)))
(.f64 (+.f64 (sqrt.f64 5) -1) (+.f64 1/2 (.f64 -1/4 (pow.f64 x 2))))
(+.f64 (.f64 1/48 (.f64 (-.f64 (sqrt.f64 5) 1) (pow.f64 x 4))) (+.f64 (.f64 -1/4 (.f64 (-.f64 (sqrt.f64 5) 1) (pow.f64 x 2))) (*.f64 1/2 (-.f64 (sqrt.f64 5) 1))))
(+.f64 (.f64 (+.f64 (sqrt.f64 5) -1) (.f64 (pow.f64 x 2) -1/4)) (+.f64 (.f64 1/2 (+.f64 (sqrt.f64 5) -1)) (.f64 (+.f64 (sqrt.f64 5) -1) (*.f64 (pow.f64 x 4) 1/48))))
(+.f64 (.f64 (+.f64 (sqrt.f64 5) -1) (+.f64 1/2 (.f64 -1/4 (pow.f64 x 2)))) (.f64 (pow.f64 x 4) (.f64 1/48 (+.f64 (sqrt.f64 5) -1))))
(.f64 (+.f64 (sqrt.f64 5) -1) (+.f64 (.f64 1/48 (pow.f64 x 4)) (+.f64 1/2 (*.f64 -1/4 (pow.f64 x 2)))))
(+.f64 (.f64 1/48 (.f64 (-.f64 (sqrt.f64 5) 1) (pow.f64 x 4))) (+.f64 (.f64 -1/4 (.f64 (-.f64 (sqrt.f64 5) 1) (pow.f64 x 2))) (+.f64 (.f64 -1/1440 (.f64 (-.f64 (sqrt.f64 5) 1) (pow.f64 x 6))) (*.f64 1/2 (-.f64 (sqrt.f64 5) 1)))))
(+.f64 (.f64 (+.f64 (sqrt.f64 5) -1) (.f64 (pow.f64 x 4) 1/48)) (+.f64 (.f64 (+.f64 (sqrt.f64 5) -1) (.f64 (pow.f64 x 2) -1/4)) (+.f64 (.f64 1/2 (+.f64 (sqrt.f64 5) -1)) (.f64 (+.f64 (sqrt.f64 5) -1) (*.f64 (pow.f64 x 6) -1/1440)))))
(+.f64 (.f64 (pow.f64 x 4) (.f64 1/48 (+.f64 (sqrt.f64 5) -1))) (+.f64 (.f64 (+.f64 (sqrt.f64 5) -1) (+.f64 1/2 (.f64 -1/4 (pow.f64 x 2)))) (.f64 (+.f64 (sqrt.f64 5) -1) (.f64 -1/1440 (pow.f64 x 6)))))
(+.f64 (.f64 (+.f64 (sqrt.f64 5) -1) (.f64 1/48 (pow.f64 x 4))) (.f64 (+.f64 (sqrt.f64 5) -1) (+.f64 (.f64 -1/1440 (pow.f64 x 6)) (+.f64 1/2 (*.f64 -1/4 (pow.f64 x 2))))))
(.f64 (+.f64 (sqrt.f64 5) -1) (+.f64 (.f64 -1/1440 (pow.f64 x 6)) (+.f64 (.f64 1/48 (pow.f64 x 4)) (+.f64 1/2 (.f64 -1/4 (pow.f64 x 2))))))
(.f64 1/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))
(.f64 (+.f64 (sqrt.f64 5) -1) (.f64 (cos.f64 x) 1/2))
(.f64 (+.f64 (sqrt.f64 5) -1) (.f64 1/2 (cos.f64 x)))
(.f64 1/2 (.f64 (+.f64 (sqrt.f64 5) -1) (cos.f64 x)))
(.f64 1/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))
(.f64 (+.f64 (sqrt.f64 5) -1) (.f64 (cos.f64 x) 1/2))
(.f64 (+.f64 (sqrt.f64 5) -1) (.f64 1/2 (cos.f64 x)))
(.f64 1/2 (.f64 (+.f64 (sqrt.f64 5) -1) (cos.f64 x)))
(.f64 1/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))
(.f64 (+.f64 (sqrt.f64 5) -1) (.f64 (cos.f64 x) 1/2))
(.f64 (+.f64 (sqrt.f64 5) -1) (.f64 1/2 (cos.f64 x)))
(.f64 1/2 (.f64 (+.f64 (sqrt.f64 5) -1) (cos.f64 x)))
(.f64 1/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))
(.f64 (+.f64 (sqrt.f64 5) -1) (.f64 (cos.f64 x) 1/2))
(.f64 (+.f64 (sqrt.f64 5) -1) (.f64 1/2 (cos.f64 x)))
(.f64 1/2 (.f64 (+.f64 (sqrt.f64 5) -1) (cos.f64 x)))
(.f64 1/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))
(.f64 (+.f64 (sqrt.f64 5) -1) (.f64 (cos.f64 x) 1/2))
(.f64 (+.f64 (sqrt.f64 5) -1) (.f64 1/2 (cos.f64 x)))
(.f64 1/2 (.f64 (+.f64 (sqrt.f64 5) -1) (cos.f64 x)))
(.f64 1/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))
(.f64 (+.f64 (sqrt.f64 5) -1) (.f64 (cos.f64 x) 1/2))
(.f64 (+.f64 (sqrt.f64 5) -1) (.f64 1/2 (cos.f64 x)))
(.f64 1/2 (.f64 (+.f64 (sqrt.f64 5) -1) (cos.f64 x)))
(.f64 1/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))
(.f64 (+.f64 (sqrt.f64 5) -1) (.f64 (cos.f64 x) 1/2))
(.f64 (+.f64 (sqrt.f64 5) -1) (.f64 1/2 (cos.f64 x)))
(.f64 1/2 (.f64 (+.f64 (sqrt.f64 5) -1) (cos.f64 x)))
(.f64 1/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)))
(.f64 (+.f64 (sqrt.f64 5) -1) (.f64 (cos.f64 x) 1/2))
(.f64 (+.f64 (sqrt.f64 5) -1) (.f64 1/2 (cos.f64 x)))
(.f64 1/2 (.f64 (+.f64 (sqrt.f64 5) -1) (cos.f64 x)))
(+.f64 (.f64 (cos.f64 x) (.f64 (+.f64 (sqrt.f64 5) -1) 1/2)) 0)
(.f64 (+.f64 (sqrt.f64 5) -1) (.f64 (cos.f64 x) 1/2))
(.f64 (+.f64 (sqrt.f64 5) -1) (.f64 1/2 (cos.f64 x)))
(.f64 1/2 (.f64 (+.f64 (sqrt.f64 5) -1) (cos.f64 x)))
(+.f64 0 (.f64 (cos.f64 x) (.f64 (+.f64 (sqrt.f64 5) -1) 1/2)))
(.f64 (+.f64 (sqrt.f64 5) -1) (.f64 (cos.f64 x) 1/2))
(.f64 (+.f64 (sqrt.f64 5) -1) (.f64 1/2 (cos.f64 x)))
(.f64 1/2 (.f64 (+.f64 (sqrt.f64 5) -1) (cos.f64 x)))
(+.f64 (.f64 (cos.f64 x) (.f64 (+.f64 (sqrt.f64 5) -1) 1/4)) (.f64 (cos.f64 x) (.f64 (+.f64 (sqrt.f64 5) -1) 1/4)))
(.f64 (+.f64 (sqrt.f64 5) -1) (.f64 (cos.f64 x) 1/2))
(.f64 (+.f64 (sqrt.f64 5) -1) (.f64 1/2 (cos.f64 x)))
(.f64 1/2 (.f64 (+.f64 (sqrt.f64 5) -1) (cos.f64 x)))
(+.f64 (.f64 (.f64 (cos.f64 x) 1/8) (+.f64 (.f64 (sqrt.f64 5) 2) -2)) (.f64 (.f64 (cos.f64 x) 1/8) (+.f64 (.f64 (sqrt.f64 5) 2) -2)))
(.f64 (+.f64 (.f64 (sqrt.f64 5) 2) -2) (+.f64 (.f64 (cos.f64 x) 1/8) (.f64 (cos.f64 x) 1/8)))
(.f64 (+.f64 (.f64 (sqrt.f64 5) 2) -2) (*.f64 (cos.f64 x) 1/4))
(.f64 (cos.f64 x) (/.f64 (+.f64 (.f64 (sqrt.f64 5) 2) -2) 4))
(-.f64 (.f64 (cos.f64 x) (.f64 (+.f64 (sqrt.f64 5) -1) 1/2)) 0)
(.f64 (+.f64 (sqrt.f64 5) -1) (.f64 (cos.f64 x) 1/2))
(.f64 (+.f64 (sqrt.f64 5) -1) (.f64 1/2 (cos.f64 x)))
(.f64 1/2 (.f64 (+.f64 (sqrt.f64 5) -1) (cos.f64 x)))
(/.f64 (.f64 (cos.f64 x) (.f64 (+.f64 (sqrt.f64 5) -1) 1/2)) 1)
(.f64 (+.f64 (sqrt.f64 5) -1) (.f64 (cos.f64 x) 1/2))
(.f64 (+.f64 (sqrt.f64 5) -1) (.f64 1/2 (cos.f64 x)))
(.f64 1/2 (.f64 (+.f64 (sqrt.f64 5) -1) (cos.f64 x)))
(/.f64 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) 2)
(.f64 (+.f64 (sqrt.f64 5) -1) (.f64 (cos.f64 x) 1/2))
(.f64 (+.f64 (sqrt.f64 5) -1) (.f64 1/2 (cos.f64 x)))
(.f64 1/2 (.f64 (+.f64 (sqrt.f64 5) -1) (cos.f64 x)))
(/.f64 (.f64 (cos.f64 x) (+.f64 (.f64 (sqrt.f64 5) 2) -2)) 4)
(+.f64 (.f64 (.f64 (cos.f64 x) 1/8) (+.f64 (.f64 (sqrt.f64 5) 2) -2)) (.f64 (.f64 (cos.f64 x) 1/8) (+.f64 (.f64 (sqrt.f64 5) 2) -2)))
(.f64 (+.f64 (.f64 (sqrt.f64 5) 2) -2) (+.f64 (.f64 (cos.f64 x) 1/8) (.f64 (cos.f64 x) 1/8)))
(.f64 (+.f64 (.f64 (sqrt.f64 5) 2) -2) (*.f64 (cos.f64 x) 1/4))
(.f64 (cos.f64 x) (/.f64 (+.f64 (.f64 (sqrt.f64 5) 2) -2) 4))
(/.f64 (.f64 (cos.f64 x) (.f64 (+.f64 (sqrt.f64 5) -1) 4)) 8)
(.f64 (+.f64 (sqrt.f64 5) -1) (.f64 (cos.f64 x) 1/2))
(.f64 (+.f64 (sqrt.f64 5) -1) (.f64 1/2 (cos.f64 x)))
(.f64 1/2 (.f64 (+.f64 (sqrt.f64 5) -1) (cos.f64 x)))
(/.f64 (.f64 2 (.f64 (cos.f64 x) (*.f64 (+.f64 (sqrt.f64 5) -1) 4))) 16)
(.f64 (+.f64 (sqrt.f64 5) -1) (.f64 (cos.f64 x) 1/2))
(.f64 (+.f64 (sqrt.f64 5) -1) (.f64 1/2 (cos.f64 x)))
(.f64 1/2 (.f64 (+.f64 (sqrt.f64 5) -1) (cos.f64 x)))
(/.f64 (.f64 2 (.f64 2 (.f64 (cos.f64 x) (.f64 (+.f64 (sqrt.f64 5) -1) 4)))) 32)
(.f64 (+.f64 (sqrt.f64 5) -1) (.f64 (cos.f64 x) 1/2))
(.f64 (+.f64 (sqrt.f64 5) -1) (.f64 1/2 (cos.f64 x)))
(.f64 1/2 (.f64 (+.f64 (sqrt.f64 5) -1) (cos.f64 x)))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (cos.f64 x) (*.f64 (+.f64 (sqrt.f64 5) -1) 4))))) 64)
(.f64 (+.f64 (sqrt.f64 5) -1) (.f64 (cos.f64 x) 1/2))
(.f64 (+.f64 (sqrt.f64 5) -1) (.f64 1/2 (cos.f64 x)))
(.f64 1/2 (.f64 (+.f64 (sqrt.f64 5) -1) (cos.f64 x)))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (cos.f64 x) (.f64 (+.f64 (sqrt.f64 5) -1) 4)))))) 128)
(.f64 (+.f64 (sqrt.f64 5) -1) (.f64 (cos.f64 x) 1/2))
(.f64 (+.f64 (sqrt.f64 5) -1) (.f64 1/2 (cos.f64 x)))
(.f64 1/2 (.f64 (+.f64 (sqrt.f64 5) -1) (cos.f64 x)))
(pow.f64 (.f64 (cos.f64 x) (.f64 (+.f64 (sqrt.f64 5) -1) 1/2)) 1)
(.f64 (+.f64 (sqrt.f64 5) -1) (.f64 (cos.f64 x) 1/2))
(.f64 (+.f64 (sqrt.f64 5) -1) (.f64 1/2 (cos.f64 x)))
(.f64 1/2 (.f64 (+.f64 (sqrt.f64 5) -1) (cos.f64 x)))

eval609.0ms (1.1%)

Compiler: Compiled 42178 to 29762 computations (29.4% saved)

prune209.0ms (0.4%)

Pruning

23 alts after pruning (23 fresh and 0 done)

	Pruned	Kept	Total
New	698	23	721
Fresh	0	0	0
Picked	1	0	1
Done	3	0	3
Total	702	23	725

Error

0.3b

Counts

725 → 23

Alt Table

Click to see full alt table

Status	Error	Program
	32.9b	(/.f64 (/.f64 (+.f64 2 (.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)) (.f64 (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16)) (.f64 (sqrt.f64 2) (-.f64 (cos.f64 x) (cos.f64 y)))))) 3) (+.f64 1 (+.f64 (+.f64 (.f64 1/2 (+.f64 (sqrt.f64 5) -1)) (.f64 (+.f64 (sqrt.f64 5) -1) (.f64 (pow.f64 x 2) -1/4))) (*.f64 (cos.f64 y) (/.f64 (-.f64 3 (sqrt.f64 5)) 2)))))
	25.5b	(/.f64 (/.f64 (+.f64 2 (.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)) (.f64 (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16)) (.f64 (sqrt.f64 2) (-.f64 (cos.f64 x) (cos.f64 y)))))) 3) (+.f64 1 (.f64 1/2 (+.f64 (-.f64 3 (sqrt.f64 5)) (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1))))))
	27.0b	(/.f64 (/.f64 (+.f64 2 (.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)) (.f64 (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16)) (.f64 (sqrt.f64 2) (-.f64 (cos.f64 x) (cos.f64 y)))))) 3) (+.f64 1 (.f64 1/2 (+.f64 (*.f64 (cos.f64 y) (-.f64 3 (sqrt.f64 5))) (+.f64 (sqrt.f64 5) -1)))))
	0.4b	(/.f64 (/.f64 (+.f64 2 (.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)) (.f64 (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16)) (.f64 (sqrt.f64 2) (-.f64 (cos.f64 x) (cos.f64 y)))))) 3) (+.f64 1 (.f64 1/2 (+.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) (.f64 (cos.f64 y) (-.f64 3 (sqrt.f64 5)))))))
▶	24.1b	(/.f64 (/.f64 (+.f64 2 (.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)) (.f64 (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16)) (.f64 (sqrt.f64 2) (-.f64 (cos.f64 x) 1))))) 3) (+.f64 1 (+.f64 (.f64 (cos.f64 x) (/.f64 (+.f64 (sqrt.f64 5) -1) 2)) (*.f64 (cos.f64 y) (/.f64 (-.f64 3 (sqrt.f64 5)) 2)))))
	25.3b	(/.f64 (/.f64 (+.f64 2 (.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)) (.f64 (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16)) (.f64 (sqrt.f64 2) (-.f64 1 (cos.f64 y)))))) 3) (+.f64 1 (+.f64 (.f64 (cos.f64 x) (/.f64 (+.f64 (sqrt.f64 5) -1) 2)) (*.f64 (cos.f64 y) (/.f64 (-.f64 3 (sqrt.f64 5)) 2)))))
▶	0.4b	(/.f64 (/.f64 (+.f64 2 (.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)) (.f64 (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16)) (.f64 (sqrt.f64 2) (+.f64 (-.f64 -1 (cos.f64 y)) (-.f64 1 (neg.f64 (cos.f64 x)))))))) 3) (+.f64 1 (+.f64 (.f64 (cos.f64 x) (/.f64 (+.f64 (sqrt.f64 5) -1) 2)) (*.f64 (cos.f64 y) (/.f64 (-.f64 3 (sqrt.f64 5)) 2)))))
	0.5b	(/.f64 (+.f64 2 (/.f64 (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16)) (-.f64 (sin.f64 y) (.f64 (sin.f64 x) 1/16))))) 1)) (.f64 3 (+.f64 1 (+.f64 (.f64 (cos.f64 x) (/.f64 (+.f64 (sqrt.f64 5) -1) 2)) (.f64 (cos.f64 y) (/.f64 (-.f64 3 (sqrt.f64 5)) 2))))))
	24.5b	(/.f64 (+.f64 2 (.f64 (.f64 (+.f64 (cos.f64 x) -1) (pow.f64 (sin.f64 x) 2)) (.f64 (sqrt.f64 2) -1/16))) (.f64 3 (+.f64 1 (+.f64 (.f64 (cos.f64 x) (/.f64 (+.f64 (sqrt.f64 5) -1) 2)) (.f64 (cos.f64 y) (/.f64 (-.f64 3 (sqrt.f64 5)) 2))))))
	25.4b	(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 1 (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
	31.3b	(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (+.f64 (sin.f64 x) (.f64 -1/16 y))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (*.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
	32.6b	(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (+.f64 x (.f64 -1/16 (sin.f64 y)))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (*.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
	23.2b	(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (sin.f64 x)) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
	0.5b	(/.f64 (+.f64 2 (.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16)) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x))))))) (.f64 3 (+.f64 (+.f64 1 (.f64 (cos.f64 x) (/.f64 (+.f64 (sqrt.f64 5) -1) 2))) (.f64 (cos.f64 y) (/.f64 (-.f64 3 (sqrt.f64 5)) 2)))))
▶	25.7b	(/.f64 (+.f64 2 (.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 -1/16 (pow.f64 (sin.f64 y) 2))))) (.f64 3 (+.f64 (+.f64 1 (.f64 (cos.f64 x) (/.f64 (+.f64 (sqrt.f64 5) -1) 2))) (.f64 (cos.f64 y) (/.f64 (-.f64 3 (sqrt.f64 5)) 2)))))
	24.5b	(/.f64 (+.f64 2 (.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 -1/16 (pow.f64 (sin.f64 x) 2))))) (.f64 3 (+.f64 (+.f64 1 (.f64 (cos.f64 x) (/.f64 (+.f64 (sqrt.f64 5) -1) 2))) (.f64 (cos.f64 y) (/.f64 (-.f64 3 (sqrt.f64 5)) 2)))))
	29.0b	(/.f64 (+.f64 2 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (+.f64 (.f64 (+.f64 (sin.f64 y) (.f64 (sin.f64 y) 1/256)) x) (.f64 -1/16 (pow.f64 (sin.f64 y) 2)))))) (.f64 3 (+.f64 (+.f64 1 (.f64 (cos.f64 x) (/.f64 (+.f64 (sqrt.f64 5) -1) 2))) (.f64 (cos.f64 y) (/.f64 (-.f64 3 (sqrt.f64 5)) 2)))))
	27.0b	(/.f64 (+.f64 2 (.f64 (sqrt.f64 2) (.f64 (.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y))))) (.f64 3 (+.f64 1 (.f64 1/2 (+.f64 (.f64 (cos.f64 y) (-.f64 3 (sqrt.f64 5))) (+.f64 (sqrt.f64 5) -1))))))
	0.5b	(/.f64 (+.f64 2 (.f64 (sqrt.f64 2) (.f64 (.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y))))) (.f64 3 (+.f64 1 (.f64 1/2 (+.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) (*.f64 (cos.f64 y) (-.f64 3 (sqrt.f64 5))))))))
▶	24.2b	(/.f64 (+.f64 2 (.f64 (sqrt.f64 2) (.f64 (.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) 1)))) (.f64 3 (+.f64 1 (+.f64 (.f64 (cos.f64 x) (/.f64 (+.f64 (sqrt.f64 5) -1) 2)) (.f64 (cos.f64 y) (/.f64 (-.f64 3 (sqrt.f64 5)) 2))))))
	24.5b	(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (pow.f64 (sin.f64 x) 2) (.f64 (+.f64 (cos.f64 x) -1) (sqrt.f64 2))))) (.f64 3 (+.f64 (+.f64 1 (.f64 (cos.f64 x) (/.f64 (+.f64 (sqrt.f64 5) -1) 2))) (.f64 (cos.f64 y) (/.f64 (-.f64 3 (sqrt.f64 5)) 2)))))
	25.7b	(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (-.f64 1 (cos.f64 y)) (.f64 (pow.f64 (sin.f64 y) 2) (sqrt.f64 2))))) (.f64 3 (+.f64 (+.f64 1 (.f64 (cos.f64 x) (/.f64 (+.f64 (sqrt.f64 5) -1) 2))) (.f64 (cos.f64 y) (/.f64 (-.f64 3 (sqrt.f64 5)) 2)))))
▶	25.7b	(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2))))) (.f64 3 (+.f64 1 (+.f64 (.f64 (cos.f64 x) (/.f64 (+.f64 (sqrt.f64 5) -1) 2)) (.f64 (cos.f64 y) (/.f64 (-.f64 3 (sqrt.f64 5)) 2))))))

Compiler

Compiled 2246 to 1812 computations (19.3% saved)

localize134.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(-.f64 -1 (cos.f64 y))
	0.6b	(+.f64 (.f64 (cos.f64 x) (/.f64 (+.f64 (sqrt.f64 5) -1) 2)) (.f64 (cos.f64 y) (/.f64 (-.f64 3 (sqrt.f64 5)) 2)))
	1.0b	(-.f64 3 (sqrt.f64 5))
✓	2.5b	(+.f64 (-.f64 -1 (cos.f64 y)) (-.f64 1 (neg.f64 (cos.f64 x))))

Compiler

Compiled 326 to 214 computations (34.4% saved)

series1.0ms (0%)

Counts

2 → 36

Calls

9 calls:

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

rewrite106.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1584×	`rational.json-1`
1584×	`rational.json-2`
1584×	`rational.json-3`
1502×	`rational.json-simplify-35`
1090×	`exponential.json-3`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	13	42
1	100	38
2	231	38
3	502	38
4	1051	38
5	2535	30
6	5160	30
7	7449	30

Stop Event

1×	node limit

Counts

2 → 62

Calls

Call 1

Inputs
(+.f64 (-.f64 -1 (cos.f64 y)) (-.f64 1 (neg.f64 (cos.f64 x))))
(-.f64 -1 (cos.f64 y))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (cos.f64 x) (neg.f64 (cos.f64 y))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (-.f64 -1 (cos.f64 y)) (cos.f64 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (-.f64 -1 (cos.f64 y)) (+.f64 (cos.f64 x) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (+.f64 1 (cos.f64 x)) (neg.f64 (cos.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (+.f64 (-.f64 -1 (cos.f64 x)) (+.f64 (cos.f64 y) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (+.f64 (+.f64 (cos.f64 y) 1) (-.f64 -1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (cos.f64 x) (neg.f64 (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (cos.f64 x) (neg.f64 (cos.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (+.f64 (cos.f64 x) (neg.f64 (cos.f64 y))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (+.f64 (*.f64 (+.f64 1 (cos.f64 x)) 1/2) (*.f64 (-.f64 -1 (cos.f64 y)) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (+.f64 (*.f64 (-.f64 -1 (cos.f64 y)) 1/2) (*.f64 (+.f64 1 (cos.f64 x)) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (+.f64 (cos.f64 x) (neg.f64 (cos.f64 y))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (cos.f64 x) (neg.f64 (cos.f64 y))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (cos.f64 x) (neg.f64 (cos.f64 y))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (+.f64 (cos.f64 x) (neg.f64 (cos.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (+.f64 (+.f64 (*.f64 (cos.f64 x) 2) 2) (*.f64 (-.f64 -1 (cos.f64 y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (+.f64 (*.f64 (-.f64 -1 (cos.f64 y)) 2) (+.f64 (*.f64 (cos.f64 x) 2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (+.f64 (cos.f64 x) (neg.f64 (cos.f64 y))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (cos.f64 x) (neg.f64 (cos.f64 y))) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (cos.f64 x) (neg.f64 (cos.f64 y))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (cos.f64 x) (neg.f64 (cos.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (cos.f64 x) (neg.f64 (cos.f64 y))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (cos.f64 x) (neg.f64 (cos.f64 y))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (cos.f64 x) (neg.f64 (cos.f64 y))) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (+.f64 (cos.f64 x) (neg.f64 (cos.f64 y))) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (cos.f64 x) (neg.f64 (cos.f64 y))) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (cos.f64 x) (neg.f64 (cos.f64 y))) 8))) (*.f64 2 (*.f64 2 (*.f64 (+.f64 (cos.f64 x) (neg.f64 (cos.f64 y))) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (cos.f64 x) (neg.f64 (cos.f64 y))) 1)))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (neg.f64 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 -1 (cos.f64 y)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 -1 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -2 (-.f64 1 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (cos.f64 y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (-.f64 -1 (cos.f64 y)) 1/2) (*.f64 (-.f64 -1 (cos.f64 y)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (+.f64 (cos.f64 y) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 -1 (cos.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 -1 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (-.f64 -1 (cos.f64 y)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (-.f64 -1 (cos.f64 y)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 -1 (cos.f64 y)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (cos.f64 y) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 -1 (cos.f64 y)) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (-.f64 -1 (cos.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (-.f64 -1 (cos.f64 y)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 -1 (cos.f64 y)) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 -1 (cos.f64 y)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 -1 (cos.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 -1 (cos.f64 y)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (cos.f64 y) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 -1 (cos.f64 y)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (+.f64 (cos.f64 y) 1)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 -1 (cos.f64 y)) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (cos.f64 y) 1) 4) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (-.f64 -1 (cos.f64 y)) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 2 (+.f64 (cos.f64 y) 1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (+.f64 (cos.f64 y) 1) 4)) -8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (-.f64 -1 (cos.f64 y)) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (neg.f64 (*.f64 2 (+.f64 (cos.f64 y) 1)))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 (-.f64 -1 (cos.f64 y)) 8))) (*.f64 2 (*.f64 2 (*.f64 (-.f64 -1 (cos.f64 y)) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (neg.f64 (*.f64 2 (+.f64 (cos.f64 y) 1)))) (*.f64 2 (neg.f64 (*.f64 2 (+.f64 (cos.f64 y) 1))))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 -1 (cos.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (+.f64 (cos.f64 y) 1))))))

simplify232.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1856×	`rational.json-simplify-35`
1830×	`rational.json-simplify-1`
1218×	`rational.json-simplify-2`
898×	`rational.json-simplify-42`
734×	`rational.json-simplify-51`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	168	1802
1	359	1798
2	860	1606
3	2254	1602
4	3960	1602
5	5138	1602
6	5843	1602
7	6684	1602
8	7205	1602
9	7643	1602
10	7715	1602

Stop Event

1×	node limit

Counts

98 → 114

Calls

Call 1

Inputs
(-.f64 (cos.f64 x) 1)
(-.f64 (+.f64 (cos.f64 x) (*.f64 1/2 (pow.f64 y 2))) 1)
(-.f64 (+.f64 (cos.f64 x) (+.f64 (.f64 1/2 (pow.f64 y 2)) (.f64 -1/24 (pow.f64 y 4)))) 1)
(-.f64 (+.f64 (cos.f64 x) (+.f64 (.f64 1/2 (pow.f64 y 2)) (+.f64 (.f64 1/720 (pow.f64 y 6)) (*.f64 -1/24 (pow.f64 y 4))))) 1)
(-.f64 (cos.f64 x) (cos.f64 y))
(-.f64 (cos.f64 x) (cos.f64 y))
(-.f64 (cos.f64 x) (cos.f64 y))
(-.f64 (cos.f64 x) (cos.f64 y))
(-.f64 (cos.f64 x) (cos.f64 y))
(-.f64 (cos.f64 x) (cos.f64 y))
(-.f64 (cos.f64 x) (cos.f64 y))
(-.f64 (cos.f64 x) (cos.f64 y))
(-.f64 1 (cos.f64 y))
(-.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 x 2))) (cos.f64 y))
(-.f64 (+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 1/24 (pow.f64 x 4)))) (cos.f64 y))
(-.f64 (+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 1/24 (pow.f64 x 4)) (*.f64 -1/720 (pow.f64 x 6))))) (cos.f64 y))
(-.f64 (cos.f64 x) (cos.f64 y))
(-.f64 (cos.f64 x) (cos.f64 y))
(-.f64 (cos.f64 x) (cos.f64 y))
(-.f64 (cos.f64 x) (cos.f64 y))
(-.f64 (cos.f64 x) (cos.f64 y))
(-.f64 (cos.f64 x) (cos.f64 y))
(-.f64 (cos.f64 x) (cos.f64 y))
(-.f64 (cos.f64 x) (cos.f64 y))
-2
(-.f64 (*.f64 1/2 (pow.f64 y 2)) 2)
(-.f64 (+.f64 (.f64 1/2 (pow.f64 y 2)) (.f64 -1/24 (pow.f64 y 4))) 2)
(-.f64 (+.f64 (.f64 1/2 (pow.f64 y 2)) (+.f64 (.f64 1/720 (pow.f64 y 6)) (*.f64 -1/24 (pow.f64 y 4)))) 2)
(*.f64 -1 (+.f64 1 (cos.f64 y)))
(*.f64 -1 (+.f64 1 (cos.f64 y)))
(*.f64 -1 (+.f64 1 (cos.f64 y)))
(*.f64 -1 (+.f64 1 (cos.f64 y)))
(*.f64 -1 (+.f64 1 (cos.f64 y)))
(*.f64 -1 (+.f64 1 (cos.f64 y)))
(*.f64 -1 (+.f64 1 (cos.f64 y)))
(*.f64 -1 (+.f64 1 (cos.f64 y)))
(-.f64 (+.f64 (cos.f64 x) (neg.f64 (cos.f64 y))) 0)
(-.f64 (+.f64 (-.f64 -1 (cos.f64 y)) (cos.f64 x)) -1)
(-.f64 (+.f64 (-.f64 -1 (cos.f64 y)) (+.f64 (cos.f64 x) 2)) 1)
(-.f64 (+.f64 (+.f64 1 (cos.f64 x)) (neg.f64 (cos.f64 y))) 1)
(*.f64 -1 (+.f64 (-.f64 -1 (cos.f64 x)) (+.f64 (cos.f64 y) 1)))
(*.f64 -1 (+.f64 (+.f64 (cos.f64 y) 1) (-.f64 -1 (cos.f64 x))))
(*.f64 1 (+.f64 (cos.f64 x) (neg.f64 (cos.f64 y))))
(*.f64 (+.f64 (cos.f64 x) (neg.f64 (cos.f64 y))) 1)
(.f64 2 (.f64 (+.f64 (cos.f64 x) (neg.f64 (cos.f64 y))) 1/2))
(.f64 2 (+.f64 (.f64 (+.f64 1 (cos.f64 x)) 1/2) (*.f64 (-.f64 -1 (cos.f64 y)) 1/2)))
(.f64 2 (+.f64 (.f64 (-.f64 -1 (cos.f64 y)) 1/2) (*.f64 (+.f64 1 (cos.f64 x)) 1/2)))
(*.f64 4 (/.f64 (+.f64 (cos.f64 x) (neg.f64 (cos.f64 y))) 4))
(.f64 (.f64 (+.f64 (cos.f64 x) (neg.f64 (cos.f64 y))) 2) 1/2)
(.f64 (.f64 (+.f64 (cos.f64 x) (neg.f64 (cos.f64 y))) 4) 1/4)
(.f64 1/2 (.f64 (+.f64 (cos.f64 x) (neg.f64 (cos.f64 y))) 2))
(.f64 1/2 (+.f64 (+.f64 (.f64 (cos.f64 x) 2) 2) (*.f64 (-.f64 -1 (cos.f64 y)) 2)))
(.f64 1/2 (+.f64 (.f64 (-.f64 -1 (cos.f64 y)) 2) (+.f64 (*.f64 (cos.f64 x) 2) 2)))
(.f64 1/4 (.f64 (+.f64 (cos.f64 x) (neg.f64 (cos.f64 y))) 4))
(.f64 (.f64 (+.f64 (cos.f64 x) (neg.f64 (cos.f64 y))) 1/2) 2)
(*.f64 (/.f64 (+.f64 (cos.f64 x) (neg.f64 (cos.f64 y))) 4) 4)
(/.f64 (+.f64 (cos.f64 x) (neg.f64 (cos.f64 y))) 1)
(/.f64 (*.f64 (+.f64 (cos.f64 x) (neg.f64 (cos.f64 y))) 2) 2)
(/.f64 (*.f64 (+.f64 (cos.f64 x) (neg.f64 (cos.f64 y))) 4) 4)
(/.f64 (*.f64 (+.f64 (cos.f64 x) (neg.f64 (cos.f64 y))) 8) 8)
(/.f64 (.f64 2 (.f64 (+.f64 (cos.f64 x) (neg.f64 (cos.f64 y))) 8)) 16)
(/.f64 (.f64 2 (.f64 2 (*.f64 (+.f64 (cos.f64 x) (neg.f64 (cos.f64 y))) 8))) 32)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (cos.f64 x) (neg.f64 (cos.f64 y))) 8))) (.f64 2 (.f64 2 (.f64 (+.f64 (cos.f64 x) (neg.f64 (cos.f64 y))) 8)))) 64)
(pow.f64 (+.f64 (cos.f64 x) (neg.f64 (cos.f64 y))) 1)
(+.f64 -1 (neg.f64 (cos.f64 y)))
(+.f64 (-.f64 -1 (cos.f64 y)) 0)
(+.f64 0 (-.f64 -1 (cos.f64 y)))
(+.f64 -2 (-.f64 1 (cos.f64 y)))
(+.f64 (neg.f64 (cos.f64 y)) -1)
(+.f64 (.f64 (-.f64 -1 (cos.f64 y)) 1/2) (.f64 (-.f64 -1 (cos.f64 y)) 1/2))
(*.f64 -1 (+.f64 (cos.f64 y) 1))
(*.f64 (-.f64 -1 (cos.f64 y)) 1)
(*.f64 1 (-.f64 -1 (cos.f64 y)))
(.f64 2 (.f64 (-.f64 -1 (cos.f64 y)) 1/2))
(*.f64 4 (/.f64 (-.f64 -1 (cos.f64 y)) 4))
(.f64 (.f64 (-.f64 -1 (cos.f64 y)) 2) 1/2)
(*.f64 (+.f64 (cos.f64 y) 1) -1)
(.f64 (.f64 (-.f64 -1 (cos.f64 y)) 4) 1/4)
(.f64 1/2 (.f64 (-.f64 -1 (cos.f64 y)) 2))
(.f64 1/4 (.f64 (-.f64 -1 (cos.f64 y)) 4))
(.f64 (.f64 (-.f64 -1 (cos.f64 y)) 1/2) 2)
(*.f64 (/.f64 (-.f64 -1 (cos.f64 y)) 4) 4)
(/.f64 (-.f64 -1 (cos.f64 y)) 1)
(/.f64 (*.f64 (-.f64 -1 (cos.f64 y)) 2) 2)
(/.f64 (+.f64 (cos.f64 y) 1) -1)
(/.f64 (*.f64 (-.f64 -1 (cos.f64 y)) 4) 4)
(/.f64 (*.f64 2 (+.f64 (cos.f64 y) 1)) -2)
(/.f64 (*.f64 (-.f64 -1 (cos.f64 y)) 8) 8)
(/.f64 (*.f64 (+.f64 (cos.f64 y) 1) 4) -4)
(/.f64 (.f64 2 (.f64 (-.f64 -1 (cos.f64 y)) 8)) 16)
(/.f64 (neg.f64 (*.f64 2 (+.f64 (cos.f64 y) 1))) 2)
(/.f64 (.f64 2 (.f64 (+.f64 (cos.f64 y) 1) 4)) -8)
(/.f64 (.f64 2 (.f64 2 (*.f64 (-.f64 -1 (cos.f64 y)) 8))) 32)
(/.f64 (.f64 2 (neg.f64 (.f64 2 (+.f64 (cos.f64 y) 1)))) 4)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (-.f64 -1 (cos.f64 y)) 8))) (.f64 2 (.f64 2 (.f64 (-.f64 -1 (cos.f64 y)) 8)))) 64)
(/.f64 (+.f64 (.f64 2 (neg.f64 (.f64 2 (+.f64 (cos.f64 y) 1)))) (.f64 2 (neg.f64 (.f64 2 (+.f64 (cos.f64 y) 1))))) 8)
(pow.f64 (-.f64 -1 (cos.f64 y)) 1)
(neg.f64 (+.f64 (cos.f64 y) 1))

Outputs
(-.f64 (cos.f64 x) 1)
(+.f64 (cos.f64 x) -1)
(-.f64 (+.f64 (cos.f64 x) (*.f64 1/2 (pow.f64 y 2))) 1)
(+.f64 (*.f64 1/2 (pow.f64 y 2)) (+.f64 (cos.f64 x) -1))
(+.f64 (cos.f64 x) (+.f64 -1 (*.f64 1/2 (pow.f64 y 2))))
(+.f64 (+.f64 (cos.f64 x) -1) (*.f64 1/2 (pow.f64 y 2)))
(+.f64 (cos.f64 x) (+.f64 (*.f64 1/2 (pow.f64 y 2)) -1))
(-.f64 (+.f64 (cos.f64 x) (+.f64 (.f64 1/2 (pow.f64 y 2)) (.f64 -1/24 (pow.f64 y 4)))) 1)
(+.f64 (+.f64 (.f64 1/2 (pow.f64 y 2)) (.f64 -1/24 (pow.f64 y 4))) (+.f64 (cos.f64 x) -1))
(+.f64 (cos.f64 x) (-.f64 (+.f64 (.f64 1/2 (pow.f64 y 2)) (.f64 -1/24 (pow.f64 y 4))) 1))
(+.f64 (cos.f64 x) (+.f64 (.f64 1/2 (pow.f64 y 2)) (+.f64 (.f64 -1/24 (pow.f64 y 4)) -1)))
(-.f64 (+.f64 (cos.f64 x) (+.f64 (.f64 1/2 (pow.f64 y 2)) (+.f64 (.f64 1/720 (pow.f64 y 6)) (*.f64 -1/24 (pow.f64 y 4))))) 1)
(+.f64 (+.f64 (.f64 1/2 (pow.f64 y 2)) (+.f64 (.f64 -1/24 (pow.f64 y 4)) (*.f64 1/720 (pow.f64 y 6)))) (+.f64 (cos.f64 x) -1))
(+.f64 (cos.f64 x) (+.f64 -1 (+.f64 (.f64 1/2 (pow.f64 y 2)) (+.f64 (.f64 -1/24 (pow.f64 y 4)) (*.f64 1/720 (pow.f64 y 6))))))
(+.f64 (cos.f64 x) (+.f64 (.f64 1/2 (pow.f64 y 2)) (+.f64 (+.f64 (.f64 -1/24 (pow.f64 y 4)) (*.f64 1/720 (pow.f64 y 6))) -1)))
(+.f64 (cos.f64 x) (+.f64 (.f64 1/2 (pow.f64 y 2)) (+.f64 (.f64 1/720 (pow.f64 y 6)) (+.f64 (*.f64 -1/24 (pow.f64 y 4)) -1))))
(-.f64 (cos.f64 x) (cos.f64 y))
(-.f64 (cos.f64 x) (cos.f64 y))
(-.f64 (cos.f64 x) (cos.f64 y))
(-.f64 (cos.f64 x) (cos.f64 y))
(-.f64 (cos.f64 x) (cos.f64 y))
(-.f64 (cos.f64 x) (cos.f64 y))
(-.f64 (cos.f64 x) (cos.f64 y))
(-.f64 (cos.f64 x) (cos.f64 y))
(-.f64 1 (cos.f64 y))
(-.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 x 2))) (cos.f64 y))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (-.f64 1 (cos.f64 y)))
(+.f64 1 (-.f64 (*.f64 -1/2 (pow.f64 x 2)) (cos.f64 y)))
(+.f64 (-.f64 1 (cos.f64 y)) (*.f64 -1/2 (pow.f64 x 2)))
(-.f64 (+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 1/24 (pow.f64 x 4)))) (cos.f64 y))
(+.f64 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 1/24 (pow.f64 x 4))) (-.f64 1 (cos.f64 y)))
(+.f64 (+.f64 1 (.f64 1/24 (pow.f64 x 4))) (-.f64 (.f64 -1/2 (pow.f64 x 2)) (cos.f64 y)))
(+.f64 1 (+.f64 (.f64 1/24 (pow.f64 x 4)) (-.f64 (.f64 -1/2 (pow.f64 x 2)) (cos.f64 y))))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 1 (-.f64 (.f64 1/24 (pow.f64 x 4)) (cos.f64 y))))
(-.f64 (+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 1/24 (pow.f64 x 4)) (*.f64 -1/720 (pow.f64 x 6))))) (cos.f64 y))
(+.f64 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 1/24 (pow.f64 x 4)) (*.f64 -1/720 (pow.f64 x 6)))) (-.f64 1 (cos.f64 y)))
(+.f64 1 (-.f64 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 1/24 (pow.f64 x 4)) (*.f64 -1/720 (pow.f64 x 6)))) (cos.f64 y)))
(+.f64 1 (-.f64 (+.f64 (.f64 1/24 (pow.f64 x 4)) (+.f64 (.f64 -1/2 (pow.f64 x 2)) (*.f64 -1/720 (pow.f64 x 6)))) (cos.f64 y)))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 1/24 (pow.f64 x 4)) (-.f64 (*.f64 -1/720 (pow.f64 x 6)) (cos.f64 y)))))
(-.f64 (cos.f64 x) (cos.f64 y))
(-.f64 (cos.f64 x) (cos.f64 y))
(-.f64 (cos.f64 x) (cos.f64 y))
(-.f64 (cos.f64 x) (cos.f64 y))
(-.f64 (cos.f64 x) (cos.f64 y))
(-.f64 (cos.f64 x) (cos.f64 y))
(-.f64 (cos.f64 x) (cos.f64 y))
(-.f64 (cos.f64 x) (cos.f64 y))
-2
(-.f64 (*.f64 1/2 (pow.f64 y 2)) 2)
(-.f64 (+.f64 (.f64 1/2 (pow.f64 y 2)) (.f64 -1/24 (pow.f64 y 4))) 2)
(+.f64 (.f64 -1/24 (pow.f64 y 4)) (-.f64 (.f64 1/2 (pow.f64 y 2)) 2))
(+.f64 (.f64 1/2 (pow.f64 y 2)) (-.f64 (.f64 -1/24 (pow.f64 y 4)) 2))
(-.f64 (+.f64 (.f64 1/2 (pow.f64 y 2)) (+.f64 (.f64 1/720 (pow.f64 y 6)) (*.f64 -1/24 (pow.f64 y 4)))) 2)
(+.f64 (+.f64 (.f64 -1/24 (pow.f64 y 4)) (.f64 1/720 (pow.f64 y 6))) (-.f64 (*.f64 1/2 (pow.f64 y 2)) 2))
(+.f64 (+.f64 (.f64 1/2 (pow.f64 y 2)) (.f64 -1/24 (pow.f64 y 4))) (-.f64 (*.f64 1/720 (pow.f64 y 6)) 2))
(+.f64 (.f64 1/2 (pow.f64 y 2)) (+.f64 (.f64 -1/24 (pow.f64 y 4)) (-.f64 (*.f64 1/720 (pow.f64 y 6)) 2)))
(+.f64 (.f64 1/720 (pow.f64 y 6)) (+.f64 (.f64 1/2 (pow.f64 y 2)) (-.f64 (*.f64 -1/24 (pow.f64 y 4)) 2)))
(*.f64 -1 (+.f64 1 (cos.f64 y)))
(neg.f64 (+.f64 1 (cos.f64 y)))
(-.f64 -1 (cos.f64 y))
(*.f64 -1 (+.f64 1 (cos.f64 y)))
(neg.f64 (+.f64 1 (cos.f64 y)))
(-.f64 -1 (cos.f64 y))
(*.f64 -1 (+.f64 1 (cos.f64 y)))
(neg.f64 (+.f64 1 (cos.f64 y)))
(-.f64 -1 (cos.f64 y))
(*.f64 -1 (+.f64 1 (cos.f64 y)))
(neg.f64 (+.f64 1 (cos.f64 y)))
(-.f64 -1 (cos.f64 y))
(*.f64 -1 (+.f64 1 (cos.f64 y)))
(neg.f64 (+.f64 1 (cos.f64 y)))
(-.f64 -1 (cos.f64 y))
(*.f64 -1 (+.f64 1 (cos.f64 y)))
(neg.f64 (+.f64 1 (cos.f64 y)))
(-.f64 -1 (cos.f64 y))
(*.f64 -1 (+.f64 1 (cos.f64 y)))
(neg.f64 (+.f64 1 (cos.f64 y)))
(-.f64 -1 (cos.f64 y))
(*.f64 -1 (+.f64 1 (cos.f64 y)))
(neg.f64 (+.f64 1 (cos.f64 y)))
(-.f64 -1 (cos.f64 y))
(-.f64 (+.f64 (cos.f64 x) (neg.f64 (cos.f64 y))) 0)
(-.f64 (cos.f64 x) (cos.f64 y))
(-.f64 (+.f64 (-.f64 -1 (cos.f64 y)) (cos.f64 x)) -1)
(-.f64 (cos.f64 x) (cos.f64 y))
(-.f64 (+.f64 (-.f64 -1 (cos.f64 y)) (+.f64 (cos.f64 x) 2)) 1)
(-.f64 (cos.f64 x) (cos.f64 y))
(-.f64 (+.f64 (+.f64 1 (cos.f64 x)) (neg.f64 (cos.f64 y))) 1)
(-.f64 (cos.f64 x) (cos.f64 y))
(*.f64 -1 (+.f64 (-.f64 -1 (cos.f64 x)) (+.f64 (cos.f64 y) 1)))
(*.f64 -1 (+.f64 (-.f64 -1 (cos.f64 x)) (+.f64 1 (cos.f64 y))))
(neg.f64 (+.f64 1 (+.f64 (-.f64 -1 (cos.f64 x)) (cos.f64 y))))
(neg.f64 (+.f64 (cos.f64 y) (-.f64 0 (cos.f64 x))))
(neg.f64 (+.f64 (cos.f64 y) (neg.f64 (cos.f64 x))))
(*.f64 -1 (+.f64 (+.f64 (cos.f64 y) 1) (-.f64 -1 (cos.f64 x))))
(*.f64 -1 (+.f64 (-.f64 -1 (cos.f64 x)) (+.f64 1 (cos.f64 y))))
(neg.f64 (+.f64 1 (+.f64 (-.f64 -1 (cos.f64 x)) (cos.f64 y))))
(neg.f64 (+.f64 (cos.f64 y) (-.f64 0 (cos.f64 x))))
(neg.f64 (+.f64 (cos.f64 y) (neg.f64 (cos.f64 x))))
(*.f64 1 (+.f64 (cos.f64 x) (neg.f64 (cos.f64 y))))
(-.f64 (cos.f64 x) (cos.f64 y))
(*.f64 (+.f64 (cos.f64 x) (neg.f64 (cos.f64 y))) 1)
(-.f64 (cos.f64 x) (cos.f64 y))
(.f64 2 (.f64 (+.f64 (cos.f64 x) (neg.f64 (cos.f64 y))) 1/2))
(-.f64 (cos.f64 x) (cos.f64 y))
(.f64 2 (+.f64 (.f64 (+.f64 1 (cos.f64 x)) 1/2) (*.f64 (-.f64 -1 (cos.f64 y)) 1/2)))
(-.f64 (cos.f64 x) (cos.f64 y))
(.f64 2 (+.f64 (.f64 (-.f64 -1 (cos.f64 y)) 1/2) (*.f64 (+.f64 1 (cos.f64 x)) 1/2)))
(-.f64 (cos.f64 x) (cos.f64 y))
(*.f64 4 (/.f64 (+.f64 (cos.f64 x) (neg.f64 (cos.f64 y))) 4))
(-.f64 (cos.f64 x) (cos.f64 y))
(.f64 (.f64 (+.f64 (cos.f64 x) (neg.f64 (cos.f64 y))) 2) 1/2)
(-.f64 (cos.f64 x) (cos.f64 y))
(.f64 (.f64 (+.f64 (cos.f64 x) (neg.f64 (cos.f64 y))) 4) 1/4)
(-.f64 (cos.f64 x) (cos.f64 y))
(.f64 1/2 (.f64 (+.f64 (cos.f64 x) (neg.f64 (cos.f64 y))) 2))
(-.f64 (cos.f64 x) (cos.f64 y))
(.f64 1/2 (+.f64 (+.f64 (.f64 (cos.f64 x) 2) 2) (*.f64 (-.f64 -1 (cos.f64 y)) 2)))
(.f64 1/2 (+.f64 (+.f64 2 (.f64 (cos.f64 x) 2)) (*.f64 2 (-.f64 -1 (cos.f64 y)))))
(.f64 1/2 (+.f64 2 (+.f64 (.f64 2 (-.f64 -1 (cos.f64 y))) (*.f64 (cos.f64 x) 2))))
(.f64 1/2 (+.f64 2 (.f64 2 (+.f64 (cos.f64 x) (-.f64 -1 (cos.f64 y))))))
(.f64 1/2 (+.f64 (.f64 (-.f64 -1 (cos.f64 y)) 2) (+.f64 (*.f64 (cos.f64 x) 2) 2)))
(.f64 1/2 (+.f64 (+.f64 2 (.f64 (cos.f64 x) 2)) (*.f64 2 (-.f64 -1 (cos.f64 y)))))
(.f64 1/2 (+.f64 2 (+.f64 (.f64 2 (-.f64 -1 (cos.f64 y))) (*.f64 (cos.f64 x) 2))))
(.f64 1/2 (+.f64 2 (.f64 2 (+.f64 (cos.f64 x) (-.f64 -1 (cos.f64 y))))))
(.f64 1/4 (.f64 (+.f64 (cos.f64 x) (neg.f64 (cos.f64 y))) 4))
(-.f64 (cos.f64 x) (cos.f64 y))
(.f64 (.f64 (+.f64 (cos.f64 x) (neg.f64 (cos.f64 y))) 1/2) 2)
(-.f64 (cos.f64 x) (cos.f64 y))
(*.f64 (/.f64 (+.f64 (cos.f64 x) (neg.f64 (cos.f64 y))) 4) 4)
(-.f64 (cos.f64 x) (cos.f64 y))
(/.f64 (+.f64 (cos.f64 x) (neg.f64 (cos.f64 y))) 1)
(-.f64 (cos.f64 x) (cos.f64 y))
(/.f64 (*.f64 (+.f64 (cos.f64 x) (neg.f64 (cos.f64 y))) 2) 2)
(-.f64 (cos.f64 x) (cos.f64 y))
(/.f64 (*.f64 (+.f64 (cos.f64 x) (neg.f64 (cos.f64 y))) 4) 4)
(-.f64 (cos.f64 x) (cos.f64 y))
(/.f64 (*.f64 (+.f64 (cos.f64 x) (neg.f64 (cos.f64 y))) 8) 8)
(-.f64 (cos.f64 x) (cos.f64 y))
(/.f64 (.f64 2 (.f64 (+.f64 (cos.f64 x) (neg.f64 (cos.f64 y))) 8)) 16)
(-.f64 (cos.f64 x) (cos.f64 y))
(/.f64 (.f64 2 (.f64 2 (*.f64 (+.f64 (cos.f64 x) (neg.f64 (cos.f64 y))) 8))) 32)
(-.f64 (cos.f64 x) (cos.f64 y))
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (cos.f64 x) (neg.f64 (cos.f64 y))) 8))) (.f64 2 (.f64 2 (.f64 (+.f64 (cos.f64 x) (neg.f64 (cos.f64 y))) 8)))) 64)
(-.f64 (cos.f64 x) (cos.f64 y))
(pow.f64 (+.f64 (cos.f64 x) (neg.f64 (cos.f64 y))) 1)
(-.f64 (cos.f64 x) (cos.f64 y))
(+.f64 -1 (neg.f64 (cos.f64 y)))
(neg.f64 (+.f64 1 (cos.f64 y)))
(-.f64 -1 (cos.f64 y))
(+.f64 (-.f64 -1 (cos.f64 y)) 0)
(neg.f64 (+.f64 1 (cos.f64 y)))
(-.f64 -1 (cos.f64 y))
(+.f64 0 (-.f64 -1 (cos.f64 y)))
(neg.f64 (+.f64 1 (cos.f64 y)))
(-.f64 -1 (cos.f64 y))
(+.f64 -2 (-.f64 1 (cos.f64 y)))
(neg.f64 (+.f64 1 (cos.f64 y)))
(-.f64 -1 (cos.f64 y))
(+.f64 (neg.f64 (cos.f64 y)) -1)
(neg.f64 (+.f64 1 (cos.f64 y)))
(-.f64 -1 (cos.f64 y))
(+.f64 (.f64 (-.f64 -1 (cos.f64 y)) 1/2) (.f64 (-.f64 -1 (cos.f64 y)) 1/2))
(neg.f64 (+.f64 1 (cos.f64 y)))
(-.f64 -1 (cos.f64 y))
(*.f64 -1 (+.f64 (cos.f64 y) 1))
(neg.f64 (+.f64 1 (cos.f64 y)))
(-.f64 -1 (cos.f64 y))
(*.f64 (-.f64 -1 (cos.f64 y)) 1)
(neg.f64 (+.f64 1 (cos.f64 y)))
(-.f64 -1 (cos.f64 y))
(*.f64 1 (-.f64 -1 (cos.f64 y)))
(neg.f64 (+.f64 1 (cos.f64 y)))
(-.f64 -1 (cos.f64 y))
(.f64 2 (.f64 (-.f64 -1 (cos.f64 y)) 1/2))
(neg.f64 (+.f64 1 (cos.f64 y)))
(-.f64 -1 (cos.f64 y))
(*.f64 4 (/.f64 (-.f64 -1 (cos.f64 y)) 4))
(neg.f64 (+.f64 1 (cos.f64 y)))
(-.f64 -1 (cos.f64 y))
(.f64 (.f64 (-.f64 -1 (cos.f64 y)) 2) 1/2)
(neg.f64 (+.f64 1 (cos.f64 y)))
(-.f64 -1 (cos.f64 y))
(*.f64 (+.f64 (cos.f64 y) 1) -1)
(neg.f64 (+.f64 1 (cos.f64 y)))
(-.f64 -1 (cos.f64 y))
(.f64 (.f64 (-.f64 -1 (cos.f64 y)) 4) 1/4)
(neg.f64 (+.f64 1 (cos.f64 y)))
(-.f64 -1 (cos.f64 y))
(.f64 1/2 (.f64 (-.f64 -1 (cos.f64 y)) 2))
(neg.f64 (+.f64 1 (cos.f64 y)))
(-.f64 -1 (cos.f64 y))
(.f64 1/4 (.f64 (-.f64 -1 (cos.f64 y)) 4))
(neg.f64 (+.f64 1 (cos.f64 y)))
(-.f64 -1 (cos.f64 y))
(.f64 (.f64 (-.f64 -1 (cos.f64 y)) 1/2) 2)
(neg.f64 (+.f64 1 (cos.f64 y)))
(-.f64 -1 (cos.f64 y))
(*.f64 (/.f64 (-.f64 -1 (cos.f64 y)) 4) 4)
(neg.f64 (+.f64 1 (cos.f64 y)))
(-.f64 -1 (cos.f64 y))
(/.f64 (-.f64 -1 (cos.f64 y)) 1)
(neg.f64 (+.f64 1 (cos.f64 y)))
(-.f64 -1 (cos.f64 y))
(/.f64 (*.f64 (-.f64 -1 (cos.f64 y)) 2) 2)
(neg.f64 (+.f64 1 (cos.f64 y)))
(-.f64 -1 (cos.f64 y))
(/.f64 (+.f64 (cos.f64 y) 1) -1)
(neg.f64 (+.f64 1 (cos.f64 y)))
(-.f64 -1 (cos.f64 y))
(/.f64 (*.f64 (-.f64 -1 (cos.f64 y)) 4) 4)
(neg.f64 (+.f64 1 (cos.f64 y)))
(-.f64 -1 (cos.f64 y))
(/.f64 (*.f64 2 (+.f64 (cos.f64 y) 1)) -2)
(neg.f64 (+.f64 1 (cos.f64 y)))
(-.f64 -1 (cos.f64 y))
(/.f64 (*.f64 (-.f64 -1 (cos.f64 y)) 8) 8)
(neg.f64 (+.f64 1 (cos.f64 y)))
(-.f64 -1 (cos.f64 y))
(/.f64 (*.f64 (+.f64 (cos.f64 y) 1) 4) -4)
(neg.f64 (+.f64 1 (cos.f64 y)))
(-.f64 -1 (cos.f64 y))
(/.f64 (.f64 2 (.f64 (-.f64 -1 (cos.f64 y)) 8)) 16)
(neg.f64 (+.f64 1 (cos.f64 y)))
(-.f64 -1 (cos.f64 y))
(/.f64 (neg.f64 (*.f64 2 (+.f64 (cos.f64 y) 1))) 2)
(neg.f64 (+.f64 1 (cos.f64 y)))
(-.f64 -1 (cos.f64 y))
(/.f64 (.f64 2 (.f64 (+.f64 (cos.f64 y) 1) 4)) -8)
(neg.f64 (+.f64 1 (cos.f64 y)))
(-.f64 -1 (cos.f64 y))
(/.f64 (.f64 2 (.f64 2 (*.f64 (-.f64 -1 (cos.f64 y)) 8))) 32)
(neg.f64 (+.f64 1 (cos.f64 y)))
(-.f64 -1 (cos.f64 y))
(/.f64 (.f64 2 (neg.f64 (.f64 2 (+.f64 (cos.f64 y) 1)))) 4)
(neg.f64 (+.f64 1 (cos.f64 y)))
(-.f64 -1 (cos.f64 y))
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (-.f64 -1 (cos.f64 y)) 8))) (.f64 2 (.f64 2 (.f64 (-.f64 -1 (cos.f64 y)) 8)))) 64)
(neg.f64 (+.f64 1 (cos.f64 y)))
(-.f64 -1 (cos.f64 y))
(/.f64 (+.f64 (.f64 2 (neg.f64 (.f64 2 (+.f64 (cos.f64 y) 1)))) (.f64 2 (neg.f64 (.f64 2 (+.f64 (cos.f64 y) 1))))) 8)
(neg.f64 (+.f64 1 (cos.f64 y)))
(-.f64 -1 (cos.f64 y))
(pow.f64 (-.f64 -1 (cos.f64 y)) 1)
(neg.f64 (+.f64 1 (cos.f64 y)))
(-.f64 -1 (cos.f64 y))
(neg.f64 (+.f64 (cos.f64 y) 1))
(neg.f64 (+.f64 1 (cos.f64 y)))
(-.f64 -1 (cos.f64 y))

localize85.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.3b	(*.f64 (cos.f64 x) (/.f64 (+.f64 (sqrt.f64 5) -1) 2))
	0.6b	(+.f64 (.f64 (cos.f64 x) (/.f64 (+.f64 (sqrt.f64 5) -1) 2)) (.f64 (cos.f64 y) (/.f64 (-.f64 3 (sqrt.f64 5)) 2)))
	1.0b	(-.f64 3 (sqrt.f64 5))
✓	2.6b	(-.f64 1 (cos.f64 y))

Compiler

Compiled 220 to 171 computations (22.3% saved)

series0.0ms (0%)

Counts

1 → 4

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	y	@	0	(-.f64 1 (cos.f64 y))
0.0ms	y	@	-inf	(-.f64 1 (cos.f64 y))
0.0ms	y	@	inf	(-.f64 1 (cos.f64 y))

rewrite123.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1824×	`rational.json-simplify-35`
1462×	`rational.json-1`
1462×	`rational.json-2`
1462×	`rational.json-4`
1462×	`rational.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	55	11
2	134	11
3	268	11
4	516	11
5	1130	11
6	2571	11
7	4420	11
8	5462	11
9	7266	11

Stop Event

1×	node limit

Counts

1 → 44

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (cos.f64 y)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 1 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (neg.f64 (+.f64 (cos.f64 y) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (*.f64 2 (/.f64 (+.f64 (cos.f64 y) -1) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -2 (-.f64 1 (+.f64 (cos.f64 y) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (+.f64 (cos.f64 y) -2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (-.f64 1 (cos.f64 y)) 1/2) (*.f64 (-.f64 1 (cos.f64 y)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 -1 (/.f64 (+.f64 (cos.f64 y) -1) 2)) (-.f64 1 (/.f64 (+.f64 (cos.f64 y) -1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 -1 (/.f64 (+.f64 (cos.f64 y) -1) 2)) (-.f64 1 (*.f64 (+.f64 (cos.f64 y) -1) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 1 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (cos.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (-.f64 1 (cos.f64 y)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (+.f64 (cos.f64 y) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (*.f64 2 (/.f64 (+.f64 (cos.f64 y) -1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (-.f64 1 (cos.f64 y)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1 (cos.f64 y)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (cos.f64 y) -1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1 (cos.f64 y)) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (-.f64 1 (cos.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (-.f64 1 (cos.f64 y)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1 (cos.f64 y)) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (cos.f64 y) -1) 2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 (cos.f64 y)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (/.f64 (+.f64 (cos.f64 y) -1) 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (cos.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (cos.f64 y)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (cos.f64 y) -1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (cos.f64 y)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (+.f64 (cos.f64 y) -1)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (cos.f64 y)) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 4 (+.f64 (cos.f64 y) -1)) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (-.f64 1 (cos.f64 y)) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 4 (+.f64 (cos.f64 y) -1))) -8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (-.f64 1 (cos.f64 y)) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (/.f64 (+.f64 (cos.f64 y) -1) 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 4 (+.f64 (cos.f64 y) -1)))) -16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (-.f64 1 (cos.f64 y)) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 4 (+.f64 (cos.f64 y) -1))))) -32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (-.f64 1 (cos.f64 y)) 8))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (-.f64 1 (cos.f64 y)) 8))))) (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (-.f64 1 (cos.f64 y)) 8)))))) 256)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 1 (cos.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (+.f64 (cos.f64 y) -1))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 2 (/.f64 (+.f64 (cos.f64 y) -1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (+.f64 1 (+.f64 (cos.f64 y) -2)))))))

simplify262.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

2408×	`rational.json-simplify-35`
1398×	`rational.json-simplify-1`
1318×	`rational.json-simplify-2`
932×	`rational.json-simplify-45`
594×	`rational.json-simplify-26`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	110	684
1	243	684
2	523	684
3	1356	684
4	2973	684
5	3979	684
6	4694	684
7	5361	684
8	6269	684
9	6587	684
10	6875	684
11	7179	684
12	7490	684
13	7853	684

Stop Event

1×	node limit

Counts

48 → 57

Calls

Call 1

Inputs
(*.f64 1/2 (pow.f64 y 2))
(+.f64 (.f64 1/2 (pow.f64 y 2)) (.f64 -1/24 (pow.f64 y 4)))
(+.f64 (.f64 1/720 (pow.f64 y 6)) (+.f64 (.f64 1/2 (pow.f64 y 2)) (*.f64 -1/24 (pow.f64 y 4))))
(+.f64 (.f64 -1/40320 (pow.f64 y 8)) (+.f64 (.f64 1/720 (pow.f64 y 6)) (+.f64 (.f64 1/2 (pow.f64 y 2)) (.f64 -1/24 (pow.f64 y 4)))))
(+.f64 (-.f64 1 (cos.f64 y)) 0)
(+.f64 0 (-.f64 1 (cos.f64 y)))
(+.f64 -1 (neg.f64 (+.f64 (cos.f64 y) -2)))
(+.f64 -1 (-.f64 1 (*.f64 2 (/.f64 (+.f64 (cos.f64 y) -1) 2))))
(+.f64 -2 (-.f64 1 (+.f64 (cos.f64 y) -2)))
(+.f64 (neg.f64 (+.f64 (cos.f64 y) -2)) -1)
(+.f64 (.f64 (-.f64 1 (cos.f64 y)) 1/2) (.f64 (-.f64 1 (cos.f64 y)) 1/2))
(+.f64 (-.f64 -1 (/.f64 (+.f64 (cos.f64 y) -1) 2)) (-.f64 1 (/.f64 (+.f64 (cos.f64 y) -1) 2)))
(+.f64 (-.f64 -1 (/.f64 (+.f64 (cos.f64 y) -1) 2)) (-.f64 1 (*.f64 (+.f64 (cos.f64 y) -1) 1/2)))
(*.f64 1 (-.f64 1 (cos.f64 y)))
(*.f64 (-.f64 1 (cos.f64 y)) 1)
(.f64 2 (.f64 (-.f64 1 (cos.f64 y)) 1/2))
(*.f64 -1 (+.f64 (cos.f64 y) -1))
(.f64 -1 (.f64 2 (/.f64 (+.f64 (cos.f64 y) -1) 2)))
(*.f64 4 (/.f64 (-.f64 1 (cos.f64 y)) 4))
(.f64 (.f64 (-.f64 1 (cos.f64 y)) 2) 1/2)
(*.f64 (+.f64 (cos.f64 y) -1) -1)
(.f64 (.f64 (-.f64 1 (cos.f64 y)) 4) 1/4)
(.f64 1/2 (.f64 (-.f64 1 (cos.f64 y)) 2))
(.f64 1/4 (.f64 (-.f64 1 (cos.f64 y)) 4))
(.f64 (.f64 (-.f64 1 (cos.f64 y)) 1/2) 2)
(*.f64 (/.f64 (+.f64 (cos.f64 y) -1) 2) -2)
(*.f64 (/.f64 (-.f64 1 (cos.f64 y)) 4) 4)
(.f64 (.f64 2 (/.f64 (+.f64 (cos.f64 y) -1) 2)) -1)
(/.f64 (-.f64 1 (cos.f64 y)) 1)
(/.f64 (*.f64 (-.f64 1 (cos.f64 y)) 2) 2)
(/.f64 (+.f64 (cos.f64 y) -1) -1)
(/.f64 (*.f64 (-.f64 1 (cos.f64 y)) 4) 4)
(/.f64 (*.f64 2 (+.f64 (cos.f64 y) -1)) -2)
(/.f64 (*.f64 (-.f64 1 (cos.f64 y)) 8) 8)
(/.f64 (*.f64 4 (+.f64 (cos.f64 y) -1)) -4)
(/.f64 (.f64 2 (.f64 (-.f64 1 (cos.f64 y)) 8)) 16)
(/.f64 (.f64 2 (.f64 4 (+.f64 (cos.f64 y) -1))) -8)
(/.f64 (.f64 2 (.f64 2 (*.f64 (-.f64 1 (cos.f64 y)) 8))) 32)
(/.f64 (*.f64 2 (/.f64 (+.f64 (cos.f64 y) -1) 2)) -1)
(/.f64 (.f64 2 (.f64 2 (*.f64 4 (+.f64 (cos.f64 y) -1)))) -16)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (-.f64 1 (cos.f64 y)) 8)))) 64)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 4 (+.f64 (cos.f64 y) -1))))) -32)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (*.f64 (-.f64 1 (cos.f64 y)) 8))))) 128)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (-.f64 1 (cos.f64 y)) 8))))) (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (-.f64 1 (cos.f64 y)) 8)))))) 256)
(pow.f64 (-.f64 1 (cos.f64 y)) 1)
(neg.f64 (+.f64 (cos.f64 y) -1))
(neg.f64 (*.f64 2 (/.f64 (+.f64 (cos.f64 y) -1) 2)))
(neg.f64 (+.f64 1 (+.f64 (cos.f64 y) -2)))

Outputs
(*.f64 1/2 (pow.f64 y 2))
(+.f64 (.f64 1/2 (pow.f64 y 2)) (.f64 -1/24 (pow.f64 y 4)))
(+.f64 (.f64 1/720 (pow.f64 y 6)) (+.f64 (.f64 1/2 (pow.f64 y 2)) (*.f64 -1/24 (pow.f64 y 4))))
(+.f64 (.f64 1/2 (pow.f64 y 2)) (+.f64 (.f64 -1/24 (pow.f64 y 4)) (*.f64 1/720 (pow.f64 y 6))))
(+.f64 (.f64 -1/40320 (pow.f64 y 8)) (+.f64 (.f64 1/720 (pow.f64 y 6)) (+.f64 (.f64 1/2 (pow.f64 y 2)) (.f64 -1/24 (pow.f64 y 4)))))
(+.f64 (.f64 1/720 (pow.f64 y 6)) (+.f64 (+.f64 (.f64 1/2 (pow.f64 y 2)) (.f64 -1/24 (pow.f64 y 4))) (.f64 -1/40320 (pow.f64 y 8))))
(+.f64 (.f64 1/2 (pow.f64 y 2)) (+.f64 (+.f64 (.f64 -1/24 (pow.f64 y 4)) (.f64 1/720 (pow.f64 y 6))) (.f64 -1/40320 (pow.f64 y 8))))
(+.f64 (.f64 1/2 (pow.f64 y 2)) (+.f64 (.f64 -1/40320 (pow.f64 y 8)) (+.f64 (.f64 -1/24 (pow.f64 y 4)) (.f64 1/720 (pow.f64 y 6)))))
(+.f64 (.f64 1/2 (pow.f64 y 2)) (+.f64 (.f64 -1/24 (pow.f64 y 4)) (+.f64 (.f64 1/720 (pow.f64 y 6)) (.f64 -1/40320 (pow.f64 y 8)))))
(+.f64 (-.f64 1 (cos.f64 y)) 0)
(-.f64 1 (cos.f64 y))
(+.f64 0 (-.f64 1 (cos.f64 y)))
(-.f64 1 (cos.f64 y))
(+.f64 -1 (neg.f64 (+.f64 (cos.f64 y) -2)))
(-.f64 1 (cos.f64 y))
(+.f64 -1 (-.f64 1 (*.f64 2 (/.f64 (+.f64 (cos.f64 y) -1) 2))))
(-.f64 1 (cos.f64 y))
(+.f64 -2 (-.f64 1 (+.f64 (cos.f64 y) -2)))
(-.f64 1 (cos.f64 y))
(+.f64 (neg.f64 (+.f64 (cos.f64 y) -2)) -1)
(-.f64 1 (cos.f64 y))
(+.f64 (.f64 (-.f64 1 (cos.f64 y)) 1/2) (.f64 (-.f64 1 (cos.f64 y)) 1/2))
(-.f64 1 (cos.f64 y))
(+.f64 (-.f64 -1 (/.f64 (+.f64 (cos.f64 y) -1) 2)) (-.f64 1 (/.f64 (+.f64 (cos.f64 y) -1) 2)))
(-.f64 1 (cos.f64 y))
(+.f64 (-.f64 -1 (/.f64 (+.f64 (cos.f64 y) -1) 2)) (-.f64 1 (*.f64 (+.f64 (cos.f64 y) -1) 1/2)))
(+.f64 (-.f64 -1 (/.f64 (+.f64 (cos.f64 y) -1) 2)) (-.f64 1 (*.f64 1/2 (+.f64 (cos.f64 y) -1))))
(+.f64 (+.f64 -1 (.f64 (+.f64 (cos.f64 y) -1) -1/2)) (-.f64 1 (.f64 1/2 (+.f64 (cos.f64 y) -1))))
(+.f64 (+.f64 -1 (.f64 1/2 (-.f64 1 (cos.f64 y)))) (-.f64 1 (.f64 1/2 (+.f64 (cos.f64 y) -1))))
(*.f64 1 (-.f64 1 (cos.f64 y)))
(-.f64 1 (cos.f64 y))
(*.f64 (-.f64 1 (cos.f64 y)) 1)
(-.f64 1 (cos.f64 y))
(.f64 2 (.f64 (-.f64 1 (cos.f64 y)) 1/2))
(-.f64 1 (cos.f64 y))
(*.f64 -1 (+.f64 (cos.f64 y) -1))
(-.f64 1 (cos.f64 y))
(.f64 -1 (.f64 2 (/.f64 (+.f64 (cos.f64 y) -1) 2)))
(-.f64 1 (cos.f64 y))
(*.f64 4 (/.f64 (-.f64 1 (cos.f64 y)) 4))
(-.f64 1 (cos.f64 y))
(.f64 (.f64 (-.f64 1 (cos.f64 y)) 2) 1/2)
(-.f64 1 (cos.f64 y))
(*.f64 (+.f64 (cos.f64 y) -1) -1)
(-.f64 1 (cos.f64 y))
(.f64 (.f64 (-.f64 1 (cos.f64 y)) 4) 1/4)
(-.f64 1 (cos.f64 y))
(.f64 1/2 (.f64 (-.f64 1 (cos.f64 y)) 2))
(-.f64 1 (cos.f64 y))
(.f64 1/4 (.f64 (-.f64 1 (cos.f64 y)) 4))
(-.f64 1 (cos.f64 y))
(.f64 (.f64 (-.f64 1 (cos.f64 y)) 1/2) 2)
(-.f64 1 (cos.f64 y))
(*.f64 (/.f64 (+.f64 (cos.f64 y) -1) 2) -2)
(-.f64 1 (cos.f64 y))
(*.f64 (/.f64 (-.f64 1 (cos.f64 y)) 4) 4)
(-.f64 1 (cos.f64 y))
(.f64 (.f64 2 (/.f64 (+.f64 (cos.f64 y) -1) 2)) -1)
(-.f64 1 (cos.f64 y))
(/.f64 (-.f64 1 (cos.f64 y)) 1)
(-.f64 1 (cos.f64 y))
(/.f64 (*.f64 (-.f64 1 (cos.f64 y)) 2) 2)
(-.f64 1 (cos.f64 y))
(/.f64 (+.f64 (cos.f64 y) -1) -1)
(-.f64 1 (cos.f64 y))
(/.f64 (*.f64 (-.f64 1 (cos.f64 y)) 4) 4)
(-.f64 1 (cos.f64 y))
(/.f64 (*.f64 2 (+.f64 (cos.f64 y) -1)) -2)
(-.f64 1 (cos.f64 y))
(/.f64 (*.f64 (-.f64 1 (cos.f64 y)) 8) 8)
(-.f64 1 (cos.f64 y))
(/.f64 (*.f64 4 (+.f64 (cos.f64 y) -1)) -4)
(-.f64 1 (cos.f64 y))
(/.f64 (.f64 2 (.f64 (-.f64 1 (cos.f64 y)) 8)) 16)
(-.f64 1 (cos.f64 y))
(/.f64 (.f64 2 (.f64 4 (+.f64 (cos.f64 y) -1))) -8)
(-.f64 1 (cos.f64 y))
(/.f64 (.f64 2 (.f64 2 (*.f64 (-.f64 1 (cos.f64 y)) 8))) 32)
(-.f64 1 (cos.f64 y))
(/.f64 (*.f64 2 (/.f64 (+.f64 (cos.f64 y) -1) 2)) -1)
(-.f64 1 (cos.f64 y))
(/.f64 (.f64 2 (.f64 2 (*.f64 4 (+.f64 (cos.f64 y) -1)))) -16)
(-.f64 1 (cos.f64 y))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (-.f64 1 (cos.f64 y)) 8)))) 64)
(-.f64 1 (cos.f64 y))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 4 (+.f64 (cos.f64 y) -1))))) -32)
(-.f64 1 (cos.f64 y))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (*.f64 (-.f64 1 (cos.f64 y)) 8))))) 128)
(-.f64 1 (cos.f64 y))
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (-.f64 1 (cos.f64 y)) 8))))) (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (-.f64 1 (cos.f64 y)) 8)))))) 256)
(-.f64 1 (cos.f64 y))
(pow.f64 (-.f64 1 (cos.f64 y)) 1)
(-.f64 1 (cos.f64 y))
(neg.f64 (+.f64 (cos.f64 y) -1))
(-.f64 1 (cos.f64 y))
(neg.f64 (*.f64 2 (/.f64 (+.f64 (cos.f64 y) -1) 2)))
(-.f64 1 (cos.f64 y))
(neg.f64 (+.f64 1 (+.f64 (cos.f64 y) -2)))
(-.f64 1 (cos.f64 y))

localize80.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.3b	(*.f64 (cos.f64 x) (/.f64 (+.f64 (sqrt.f64 5) -1) 2))
✓	0.4b	(.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (*.f64 -1/16 (pow.f64 (sin.f64 y) 2))))
	1.0b	(-.f64 3 (sqrt.f64 5))
	2.3b	(-.f64 (cos.f64 x) (cos.f64 y))

Compiler

Compiled 213 to 154 computations (27.7% saved)

series5.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite84.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1496×	`exponential.json-3`
1496×	`rational.json-1`
1496×	`rational.json-2`
1496×	`rational.json-4`
1496×	`rational.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	47
1	113	47
2	266	47
3	593	47
4	1262	47
5	3273	47
6	6282	47

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (*.f64 (sqrt.f64 2) (*.f64 -1/16 (pow.f64 (sin.f64 y) 2)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (*.f64 (sqrt.f64 2) (*.f64 -1/16 (pow.f64 (sin.f64 y) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 2) (*.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (*.f64 (pow.f64 (sin.f64 y) 2) -1/32))) (*.f64 (sqrt.f64 2) (*.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (*.f64 (pow.f64 (sin.f64 y) 2) -1/32))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (*.f64 (sqrt.f64 2) (*.f64 -1/16 (pow.f64 (sin.f64 y) 2)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (*.f64 (sqrt.f64 2) (*.f64 -1/16 (pow.f64 (sin.f64 y) 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 2) (*.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (*.f64 (pow.f64 (sin.f64 y) 2) -1/8))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (pow.f64 (sin.f64 y) 2))) -1/4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (pow.f64 (sin.f64 y) 2))) -1/4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (pow.f64 (sin.f64 y) 2))) -1/4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (pow.f64 (sin.f64 y) 2))) -1/4))) (*.f64 2 (*.f64 2 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (pow.f64 (sin.f64 y) 2))) -1/4)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (*.f64 (sqrt.f64 2) (*.f64 -1/16 (pow.f64 (sin.f64 y) 2)))) 1)))))

simplify233.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1674×	`rational.json-simplify-35`
1336×	`rational.json-simplify-53`
1180×	`exponential.json-simplify-26`
1010×	`rational.json-simplify-43`
898×	`rational.json-simplify-2`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	110	2179
1	270	2155
2	546	2069
3	1196	2043
4	2930	2043
5	4242	2043
6	5403	2043
7	6376	2043
8	7369	2043
9	7661	2043
10	7830	2043

Stop Event

1×	node limit

Counts

35 → 57

Calls

Call 1

Inputs
(.f64 -1/16 (.f64 (sqrt.f64 2) (*.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2))))
(+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2)))) (.f64 1/32 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)))))
(+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2)))) (+.f64 (.f64 -1/384 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 4)))) (.f64 1/32 (.f64 (sqrt.f64 2) (*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2))))))
(+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2)))) (+.f64 (.f64 -1/384 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 4)))) (+.f64 (.f64 1/32 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)))) (.f64 1/11520 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 6)))))))
(.f64 -1/16 (.f64 (sqrt.f64 2) (*.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (pow.f64 (sin.f64 y) 2))))
(.f64 -1/16 (.f64 (sqrt.f64 2) (*.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (pow.f64 (sin.f64 y) 2))))
(.f64 -1/16 (.f64 (sqrt.f64 2) (*.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (pow.f64 (sin.f64 y) 2))))
(.f64 -1/16 (.f64 (sqrt.f64 2) (*.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (pow.f64 (sin.f64 y) 2))))
(.f64 -1/16 (.f64 (sqrt.f64 2) (*.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (pow.f64 (sin.f64 y) 2))))
(.f64 -1/16 (.f64 (sqrt.f64 2) (*.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (pow.f64 (sin.f64 y) 2))))
(.f64 -1/16 (.f64 (sqrt.f64 2) (*.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (pow.f64 (sin.f64 y) 2))))
(.f64 -1/16 (.f64 (sqrt.f64 2) (*.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (pow.f64 (sin.f64 y) 2))))
(.f64 -1/16 (.f64 (sqrt.f64 2) (*.f64 (pow.f64 y 2) (-.f64 (cos.f64 x) 1))))
(+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 y 2) (-.f64 (cos.f64 x) 1)))) (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (+.f64 1/2 (*.f64 -1/3 (-.f64 (cos.f64 x) 1))) (pow.f64 y 4)))))
(+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 y 2) (-.f64 (cos.f64 x) 1)))) (+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (+.f64 1/2 (.f64 -1/3 (-.f64 (cos.f64 x) 1))) (pow.f64 y 4)))) (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 y 6) (-.f64 (*.f64 2/45 (-.f64 (cos.f64 x) 1)) 5/24))))))
(+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 y 2) (-.f64 (cos.f64 x) 1)))) (+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (+.f64 1/2 (.f64 -1/3 (-.f64 (cos.f64 x) 1))) (pow.f64 y 4)))) (+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 y 6) (-.f64 (.f64 2/45 (-.f64 (cos.f64 x) 1)) 5/24)))) (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (pow.f64 y 8) (+.f64 3/80 (*.f64 -1/315 (-.f64 (cos.f64 x) 1)))))))))
(.f64 -1/16 (.f64 (sqrt.f64 2) (*.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (pow.f64 (sin.f64 y) 2))))
(.f64 -1/16 (.f64 (sqrt.f64 2) (*.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (pow.f64 (sin.f64 y) 2))))
(.f64 -1/16 (.f64 (sqrt.f64 2) (*.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (pow.f64 (sin.f64 y) 2))))
(.f64 -1/16 (.f64 (sqrt.f64 2) (*.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (pow.f64 (sin.f64 y) 2))))
(.f64 -1/16 (.f64 (sqrt.f64 2) (*.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (pow.f64 (sin.f64 y) 2))))
(.f64 -1/16 (.f64 (sqrt.f64 2) (*.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (pow.f64 (sin.f64 y) 2))))
(.f64 -1/16 (.f64 (sqrt.f64 2) (*.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (pow.f64 (sin.f64 y) 2))))
(.f64 -1/16 (.f64 (sqrt.f64 2) (*.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (pow.f64 (sin.f64 y) 2))))
(+.f64 (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (sqrt.f64 2) (*.f64 -1/16 (pow.f64 (sin.f64 y) 2)))) 0)
(+.f64 0 (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (sqrt.f64 2) (*.f64 -1/16 (pow.f64 (sin.f64 y) 2)))))
(+.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (pow.f64 (sin.f64 y) 2) -1/32))) (.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (pow.f64 (sin.f64 y) 2) -1/32))))
(-.f64 (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (sqrt.f64 2) (*.f64 -1/16 (pow.f64 (sin.f64 y) 2)))) 0)
(/.f64 (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (sqrt.f64 2) (*.f64 -1/16 (pow.f64 (sin.f64 y) 2)))) 1)
(/.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (*.f64 (pow.f64 (sin.f64 y) 2) -1/8))) 2)
(/.f64 (.f64 (.f64 (sqrt.f64 2) (*.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (pow.f64 (sin.f64 y) 2))) -1/4) 4)
(/.f64 (.f64 2 (.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (pow.f64 (sin.f64 y) 2))) -1/4)) 8)
(/.f64 (.f64 2 (.f64 2 (.f64 (.f64 (sqrt.f64 2) (*.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (pow.f64 (sin.f64 y) 2))) -1/4))) 16)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (pow.f64 (sin.f64 y) 2))) -1/4))) (.f64 2 (.f64 2 (.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (pow.f64 (sin.f64 y) 2))) -1/4)))) 32)
(pow.f64 (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (sqrt.f64 2) (*.f64 -1/16 (pow.f64 (sin.f64 y) 2)))) 1)

Outputs
(.f64 -1/16 (.f64 (sqrt.f64 2) (*.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2))))
(.f64 -1/16 (.f64 (-.f64 1 (cos.f64 y)) (*.f64 (pow.f64 (sin.f64 y) 2) (sqrt.f64 2))))
(.f64 (-.f64 1 (cos.f64 y)) (.f64 (sqrt.f64 2) (*.f64 -1/16 (pow.f64 (sin.f64 y) 2))))
(.f64 -1/16 (.f64 (-.f64 1 (cos.f64 y)) (*.f64 (sqrt.f64 2) (pow.f64 (sin.f64 y) 2))))
(+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2)))) (.f64 1/32 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)))))
(+.f64 (.f64 -1/16 (.f64 (-.f64 1 (cos.f64 y)) (.f64 (pow.f64 (sin.f64 y) 2) (sqrt.f64 2)))) (.f64 (sqrt.f64 2) (.f64 (pow.f64 (.f64 (sin.f64 y) x) 2) 1/32)))
(+.f64 (.f64 (-.f64 1 (cos.f64 y)) (.f64 (sqrt.f64 2) (.f64 -1/16 (pow.f64 (sin.f64 y) 2)))) (.f64 (sqrt.f64 2) (.f64 1/32 (pow.f64 (.f64 (sin.f64 y) x) 2))))
(.f64 (sqrt.f64 2) (+.f64 (.f64 1/32 (pow.f64 (.f64 (sin.f64 y) x) 2)) (.f64 (-.f64 1 (cos.f64 y)) (*.f64 -1/16 (pow.f64 (sin.f64 y) 2)))))
(.f64 (pow.f64 (sin.f64 y) 2) (+.f64 (.f64 1/32 (.f64 (sqrt.f64 2) (pow.f64 x 2))) (.f64 -1/16 (*.f64 (sqrt.f64 2) (-.f64 1 (cos.f64 y))))))
(+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2)))) (+.f64 (.f64 -1/384 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 4)))) (.f64 1/32 (.f64 (sqrt.f64 2) (*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2))))))
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(+.f64 (.f64 (-.f64 1 (cos.f64 y)) (.f64 (sqrt.f64 2) (.f64 -1/16 (pow.f64 (sin.f64 y) 2)))) (.f64 (sqrt.f64 2) (+.f64 (.f64 (pow.f64 (sin.f64 y) 2) (.f64 (pow.f64 x 4) -1/384)) (.f64 1/32 (pow.f64 (.f64 (sin.f64 y) x) 2)))))
(.f64 (sqrt.f64 2) (+.f64 (.f64 -1/16 (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2))) (+.f64 (.f64 1/32 (pow.f64 (.f64 (sin.f64 y) x) 2)) (.f64 (pow.f64 (sin.f64 y) 2) (*.f64 -1/384 (pow.f64 x 4))))))
(.f64 (sqrt.f64 2) (+.f64 (.f64 (-.f64 1 (cos.f64 y)) (.f64 -1/16 (pow.f64 (sin.f64 y) 2))) (+.f64 (.f64 1/32 (pow.f64 (.f64 (sin.f64 y) x) 2)) (.f64 (pow.f64 (sin.f64 y) 2) (*.f64 -1/384 (pow.f64 x 4))))))
(+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2)))) (+.f64 (.f64 -1/384 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 4)))) (+.f64 (.f64 1/32 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)))) (.f64 1/11520 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 6)))))))
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(+.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 1/11520 (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 6))) (.f64 1/32 (pow.f64 (.f64 (sin.f64 y) x) 2)))) (.f64 (sqrt.f64 2) (+.f64 (.f64 (pow.f64 (sin.f64 y) 2) (.f64 (pow.f64 x 4) -1/384)) (.f64 (-.f64 1 (cos.f64 y)) (.f64 -1/16 (pow.f64 (sin.f64 y) 2))))))
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(.f64 (sqrt.f64 2) (.f64 -1/16 (*.f64 (pow.f64 (sin.f64 y) 2) (-.f64 (cos.f64 x) (cos.f64 y)))))
(.f64 -1/16 (.f64 (sqrt.f64 2) (*.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (pow.f64 (sin.f64 y) 2))))
(.f64 -1/16 (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (*.f64 (pow.f64 (sin.f64 y) 2) (sqrt.f64 2))))
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(.f64 -1/16 (.f64 (sqrt.f64 2) (*.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (pow.f64 (sin.f64 y) 2))))
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(.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (*.f64 -1/16 (pow.f64 (sin.f64 y) 2))))
(.f64 (sqrt.f64 2) (.f64 -1/16 (*.f64 (pow.f64 (sin.f64 y) 2) (-.f64 (cos.f64 x) (cos.f64 y)))))
(.f64 -1/16 (.f64 (sqrt.f64 2) (*.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (pow.f64 (sin.f64 y) 2))))
(.f64 -1/16 (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (*.f64 (pow.f64 (sin.f64 y) 2) (sqrt.f64 2))))
(.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (*.f64 -1/16 (pow.f64 (sin.f64 y) 2))))
(.f64 (sqrt.f64 2) (.f64 -1/16 (*.f64 (pow.f64 (sin.f64 y) 2) (-.f64 (cos.f64 x) (cos.f64 y)))))
(.f64 -1/16 (.f64 (sqrt.f64 2) (*.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (pow.f64 (sin.f64 y) 2))))
(.f64 -1/16 (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (*.f64 (pow.f64 (sin.f64 y) 2) (sqrt.f64 2))))
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(.f64 (sqrt.f64 2) (.f64 -1/16 (*.f64 (pow.f64 (sin.f64 y) 2) (-.f64 (cos.f64 x) (cos.f64 y)))))
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(.f64 -1/16 (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (*.f64 (pow.f64 (sin.f64 y) 2) (sqrt.f64 2))))
(.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (*.f64 -1/16 (pow.f64 (sin.f64 y) 2))))
(.f64 (sqrt.f64 2) (.f64 -1/16 (*.f64 (pow.f64 (sin.f64 y) 2) (-.f64 (cos.f64 x) (cos.f64 y)))))
(.f64 -1/16 (.f64 (sqrt.f64 2) (*.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (pow.f64 (sin.f64 y) 2))))
(.f64 -1/16 (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (*.f64 (pow.f64 (sin.f64 y) 2) (sqrt.f64 2))))
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(.f64 -1/16 (.f64 (sqrt.f64 2) (*.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (pow.f64 (sin.f64 y) 2))))
(.f64 -1/16 (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (*.f64 (pow.f64 (sin.f64 y) 2) (sqrt.f64 2))))
(.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (*.f64 -1/16 (pow.f64 (sin.f64 y) 2))))
(.f64 (sqrt.f64 2) (.f64 -1/16 (*.f64 (pow.f64 (sin.f64 y) 2) (-.f64 (cos.f64 x) (cos.f64 y)))))
(.f64 -1/16 (.f64 (sqrt.f64 2) (*.f64 (pow.f64 y 2) (-.f64 (cos.f64 x) 1))))
(.f64 (sqrt.f64 2) (.f64 (*.f64 (pow.f64 y 2) (+.f64 (cos.f64 x) -1)) -1/16))
(.f64 -1/16 (.f64 (sqrt.f64 2) (*.f64 (pow.f64 y 2) (+.f64 (cos.f64 x) -1))))
(.f64 -1/16 (.f64 (+.f64 (cos.f64 x) -1) (*.f64 (sqrt.f64 2) (pow.f64 y 2))))
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(+.f64 (.f64 (sqrt.f64 2) (.f64 (.f64 (pow.f64 y 2) (+.f64 (cos.f64 x) -1)) -1/16)) (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (+.f64 1/2 (*.f64 (+.f64 (cos.f64 x) -1) -1/3)) (pow.f64 y 4)))))
(.f64 -1/16 (+.f64 (.f64 (sqrt.f64 2) (.f64 (+.f64 1/2 (.f64 (+.f64 (cos.f64 x) -1) -1/3)) (pow.f64 y 4))) (.f64 (sqrt.f64 2) (.f64 (pow.f64 y 2) (+.f64 (cos.f64 x) -1)))))
(.f64 -1/16 (.f64 (sqrt.f64 2) (+.f64 (.f64 (+.f64 1/2 (.f64 (+.f64 (cos.f64 x) -1) -1/3)) (pow.f64 y 4)) (*.f64 (pow.f64 y 2) (+.f64 (cos.f64 x) -1)))))
(.f64 (sqrt.f64 2) (.f64 -1/16 (+.f64 (.f64 (pow.f64 y 2) (+.f64 (cos.f64 x) -1)) (.f64 (+.f64 1/2 (*.f64 (+.f64 (cos.f64 x) -1) -1/3)) (pow.f64 y 4)))))
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(.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (*.f64 -1/16 (pow.f64 (sin.f64 y) 2))))
(.f64 (sqrt.f64 2) (.f64 -1/16 (*.f64 (pow.f64 (sin.f64 y) 2) (-.f64 (cos.f64 x) (cos.f64 y)))))
(.f64 -1/16 (.f64 (sqrt.f64 2) (*.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (pow.f64 (sin.f64 y) 2))))
(.f64 -1/16 (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (*.f64 (pow.f64 (sin.f64 y) 2) (sqrt.f64 2))))
(.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (*.f64 -1/16 (pow.f64 (sin.f64 y) 2))))
(.f64 (sqrt.f64 2) (.f64 -1/16 (*.f64 (pow.f64 (sin.f64 y) 2) (-.f64 (cos.f64 x) (cos.f64 y)))))
(.f64 -1/16 (.f64 (sqrt.f64 2) (*.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (pow.f64 (sin.f64 y) 2))))
(.f64 -1/16 (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (*.f64 (pow.f64 (sin.f64 y) 2) (sqrt.f64 2))))
(.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (*.f64 -1/16 (pow.f64 (sin.f64 y) 2))))
(.f64 (sqrt.f64 2) (.f64 -1/16 (*.f64 (pow.f64 (sin.f64 y) 2) (-.f64 (cos.f64 x) (cos.f64 y)))))
(.f64 -1/16 (.f64 (sqrt.f64 2) (*.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (pow.f64 (sin.f64 y) 2))))
(.f64 -1/16 (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (*.f64 (pow.f64 (sin.f64 y) 2) (sqrt.f64 2))))
(.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (*.f64 -1/16 (pow.f64 (sin.f64 y) 2))))
(.f64 (sqrt.f64 2) (.f64 -1/16 (*.f64 (pow.f64 (sin.f64 y) 2) (-.f64 (cos.f64 x) (cos.f64 y)))))
(.f64 -1/16 (.f64 (sqrt.f64 2) (*.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (pow.f64 (sin.f64 y) 2))))
(.f64 -1/16 (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (*.f64 (pow.f64 (sin.f64 y) 2) (sqrt.f64 2))))
(.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (*.f64 -1/16 (pow.f64 (sin.f64 y) 2))))
(.f64 (sqrt.f64 2) (.f64 -1/16 (*.f64 (pow.f64 (sin.f64 y) 2) (-.f64 (cos.f64 x) (cos.f64 y)))))
(.f64 -1/16 (.f64 (sqrt.f64 2) (*.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (pow.f64 (sin.f64 y) 2))))
(.f64 -1/16 (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (*.f64 (pow.f64 (sin.f64 y) 2) (sqrt.f64 2))))
(.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (*.f64 -1/16 (pow.f64 (sin.f64 y) 2))))
(.f64 (sqrt.f64 2) (.f64 -1/16 (*.f64 (pow.f64 (sin.f64 y) 2) (-.f64 (cos.f64 x) (cos.f64 y)))))
(.f64 -1/16 (.f64 (sqrt.f64 2) (*.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (pow.f64 (sin.f64 y) 2))))
(.f64 -1/16 (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (*.f64 (pow.f64 (sin.f64 y) 2) (sqrt.f64 2))))
(.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (*.f64 -1/16 (pow.f64 (sin.f64 y) 2))))
(.f64 (sqrt.f64 2) (.f64 -1/16 (*.f64 (pow.f64 (sin.f64 y) 2) (-.f64 (cos.f64 x) (cos.f64 y)))))
(.f64 -1/16 (.f64 (sqrt.f64 2) (*.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (pow.f64 (sin.f64 y) 2))))
(.f64 -1/16 (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (*.f64 (pow.f64 (sin.f64 y) 2) (sqrt.f64 2))))
(.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (*.f64 -1/16 (pow.f64 (sin.f64 y) 2))))
(.f64 (sqrt.f64 2) (.f64 -1/16 (*.f64 (pow.f64 (sin.f64 y) 2) (-.f64 (cos.f64 x) (cos.f64 y)))))
(+.f64 (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (sqrt.f64 2) (*.f64 -1/16 (pow.f64 (sin.f64 y) 2)))) 0)
(.f64 -1/16 (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (*.f64 (pow.f64 (sin.f64 y) 2) (sqrt.f64 2))))
(.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (*.f64 -1/16 (pow.f64 (sin.f64 y) 2))))
(.f64 (sqrt.f64 2) (.f64 -1/16 (*.f64 (pow.f64 (sin.f64 y) 2) (-.f64 (cos.f64 x) (cos.f64 y)))))
(+.f64 0 (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (sqrt.f64 2) (*.f64 -1/16 (pow.f64 (sin.f64 y) 2)))))
(.f64 -1/16 (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (*.f64 (pow.f64 (sin.f64 y) 2) (sqrt.f64 2))))
(.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (*.f64 -1/16 (pow.f64 (sin.f64 y) 2))))
(.f64 (sqrt.f64 2) (.f64 -1/16 (*.f64 (pow.f64 (sin.f64 y) 2) (-.f64 (cos.f64 x) (cos.f64 y)))))
(+.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (pow.f64 (sin.f64 y) 2) -1/32))) (.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (pow.f64 (sin.f64 y) 2) -1/32))))
(.f64 -1/16 (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (*.f64 (pow.f64 (sin.f64 y) 2) (sqrt.f64 2))))
(.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (*.f64 -1/16 (pow.f64 (sin.f64 y) 2))))
(.f64 (sqrt.f64 2) (.f64 -1/16 (*.f64 (pow.f64 (sin.f64 y) 2) (-.f64 (cos.f64 x) (cos.f64 y)))))
(-.f64 (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (sqrt.f64 2) (*.f64 -1/16 (pow.f64 (sin.f64 y) 2)))) 0)
(.f64 -1/16 (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (*.f64 (pow.f64 (sin.f64 y) 2) (sqrt.f64 2))))
(.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (*.f64 -1/16 (pow.f64 (sin.f64 y) 2))))
(.f64 (sqrt.f64 2) (.f64 -1/16 (*.f64 (pow.f64 (sin.f64 y) 2) (-.f64 (cos.f64 x) (cos.f64 y)))))
(/.f64 (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (sqrt.f64 2) (*.f64 -1/16 (pow.f64 (sin.f64 y) 2)))) 1)
(.f64 -1/16 (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (*.f64 (pow.f64 (sin.f64 y) 2) (sqrt.f64 2))))
(.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (*.f64 -1/16 (pow.f64 (sin.f64 y) 2))))
(.f64 (sqrt.f64 2) (.f64 -1/16 (*.f64 (pow.f64 (sin.f64 y) 2) (-.f64 (cos.f64 x) (cos.f64 y)))))
(/.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (*.f64 (pow.f64 (sin.f64 y) 2) -1/8))) 2)
(.f64 -1/16 (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (*.f64 (pow.f64 (sin.f64 y) 2) (sqrt.f64 2))))
(.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (*.f64 -1/16 (pow.f64 (sin.f64 y) 2))))
(.f64 (sqrt.f64 2) (.f64 -1/16 (*.f64 (pow.f64 (sin.f64 y) 2) (-.f64 (cos.f64 x) (cos.f64 y)))))
(/.f64 (.f64 (.f64 (sqrt.f64 2) (*.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (pow.f64 (sin.f64 y) 2))) -1/4) 4)
(.f64 -1/16 (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (*.f64 (pow.f64 (sin.f64 y) 2) (sqrt.f64 2))))
(.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (*.f64 -1/16 (pow.f64 (sin.f64 y) 2))))
(.f64 (sqrt.f64 2) (.f64 -1/16 (*.f64 (pow.f64 (sin.f64 y) 2) (-.f64 (cos.f64 x) (cos.f64 y)))))
(/.f64 (.f64 2 (.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (pow.f64 (sin.f64 y) 2))) -1/4)) 8)
(.f64 -1/16 (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (*.f64 (pow.f64 (sin.f64 y) 2) (sqrt.f64 2))))
(.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (*.f64 -1/16 (pow.f64 (sin.f64 y) 2))))
(.f64 (sqrt.f64 2) (.f64 -1/16 (*.f64 (pow.f64 (sin.f64 y) 2) (-.f64 (cos.f64 x) (cos.f64 y)))))
(/.f64 (.f64 2 (.f64 2 (.f64 (.f64 (sqrt.f64 2) (*.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (pow.f64 (sin.f64 y) 2))) -1/4))) 16)
(.f64 -1/16 (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (*.f64 (pow.f64 (sin.f64 y) 2) (sqrt.f64 2))))
(.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (*.f64 -1/16 (pow.f64 (sin.f64 y) 2))))
(.f64 (sqrt.f64 2) (.f64 -1/16 (*.f64 (pow.f64 (sin.f64 y) 2) (-.f64 (cos.f64 x) (cos.f64 y)))))
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (pow.f64 (sin.f64 y) 2))) -1/4))) (.f64 2 (.f64 2 (.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (pow.f64 (sin.f64 y) 2))) -1/4)))) 32)
(.f64 -1/16 (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (*.f64 (pow.f64 (sin.f64 y) 2) (sqrt.f64 2))))
(.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (*.f64 -1/16 (pow.f64 (sin.f64 y) 2))))
(.f64 (sqrt.f64 2) (.f64 -1/16 (*.f64 (pow.f64 (sin.f64 y) 2) (-.f64 (cos.f64 x) (cos.f64 y)))))
(pow.f64 (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (sqrt.f64 2) (*.f64 -1/16 (pow.f64 (sin.f64 y) 2)))) 1)
(.f64 -1/16 (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (*.f64 (pow.f64 (sin.f64 y) 2) (sqrt.f64 2))))
(.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (*.f64 -1/16 (pow.f64 (sin.f64 y) 2))))
(.f64 (sqrt.f64 2) (.f64 -1/16 (*.f64 (pow.f64 (sin.f64 y) 2) (-.f64 (cos.f64 x) (cos.f64 y)))))

localize98.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.4b	(*.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16)))
	0.6b	(+.f64 (.f64 (cos.f64 x) (/.f64 (+.f64 (sqrt.f64 5) -1) 2)) (.f64 (cos.f64 y) (/.f64 (-.f64 3 (sqrt.f64 5)) 2)))
	1.0b	(-.f64 3 (sqrt.f64 5))
✓	2.3b	(-.f64 (cos.f64 x) 1)

Compiler

Compiled 281 to 193 computations (31.3% saved)

series0.0ms (0%)

Counts

1 → 4

Calls

3 calls:

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

rewrite121.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1818×	`rational.json-simplify-35`
1524×	`rational.json-1`
1524×	`rational.json-2`
1524×	`rational.json-3`
1114×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	57	11
2	140	11
3	265	11
4	527	11
5	1164	11
6	2741	11
7	4737	11
8	5772	11
9	7562	11

Stop Event

1×	node limit

Counts

1 → 26

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (cos.f64 x) -1) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.f64 (cos.f64 x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (cos.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 x) 1/2) (+.f64 (*.f64 (cos.f64 x) 1/2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 (cos.f64 x) -1) 1/2) (*.f64 (+.f64 (cos.f64 x) -1) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (cos.f64 x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (cos.f64 x) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (+.f64 (cos.f64 x) -1) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (+.f64 (cos.f64 x) -1) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (cos.f64 x) -1) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (cos.f64 x) -1) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (+.f64 (cos.f64 x) -1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (+.f64 (cos.f64 x) -1) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (cos.f64 x) -1) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (cos.f64 x) -1) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (cos.f64 x) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (cos.f64 x) -1) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (cos.f64 x) -1) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (cos.f64 x) -1) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (+.f64 (cos.f64 x) -1) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (cos.f64 x) -1) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (cos.f64 x) -1) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (cos.f64 x) -1) 8))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (cos.f64 x) -1) 8))))) (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (cos.f64 x) -1) 8)))))) 256)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (cos.f64 x) -1) 1)))))

simplify291.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1634×	`rational.json-simplify-2`
1474×	`rational.json-simplify-51`
1450×	`rational.json-simplify-35`
1126×	`rational.json-simplify-1`
888×	`rational.json-simplify-38`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	75	446
1	155	446
2	361	446
3	1044	446
4	1805	446
5	2124	446
6	2237	446
7	2356	446
8	2509	446
9	2703	446
10	3675	446
11	4075	446
12	4560	446
13	4807	446
14	5014	446
15	5215	446
16	5844	446
17	6189	446
18	6771	446

Stop Event

1×	node limit

Counts

30 → 35

Calls

Call 1

Inputs
(*.f64 -1/2 (pow.f64 x 2))
(+.f64 (.f64 1/24 (pow.f64 x 4)) (.f64 -1/2 (pow.f64 x 2)))
(+.f64 (.f64 1/24 (pow.f64 x 4)) (+.f64 (.f64 -1/2 (pow.f64 x 2)) (*.f64 -1/720 (pow.f64 x 6))))
(+.f64 (.f64 1/24 (pow.f64 x 4)) (+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/720 (pow.f64 x 6)) (.f64 1/40320 (pow.f64 x 8)))))
(+.f64 (cos.f64 x) -1)
(+.f64 (+.f64 (cos.f64 x) -1) 0)
(+.f64 0 (+.f64 (cos.f64 x) -1))
(+.f64 -1 (cos.f64 x))
(+.f64 (.f64 (cos.f64 x) 1/2) (+.f64 (.f64 (cos.f64 x) 1/2) -1))
(+.f64 (.f64 (+.f64 (cos.f64 x) -1) 1/2) (.f64 (+.f64 (cos.f64 x) -1) 1/2))
(*.f64 1 (+.f64 (cos.f64 x) -1))
(*.f64 (+.f64 (cos.f64 x) -1) 1)
(.f64 2 (.f64 (+.f64 (cos.f64 x) -1) 1/2))
(*.f64 4 (/.f64 (+.f64 (cos.f64 x) -1) 4))
(.f64 (.f64 (+.f64 (cos.f64 x) -1) 2) 1/2)
(.f64 (.f64 (+.f64 (cos.f64 x) -1) 4) 1/4)
(.f64 1/2 (.f64 (+.f64 (cos.f64 x) -1) 2))
(.f64 1/4 (.f64 (+.f64 (cos.f64 x) -1) 4))
(.f64 (.f64 (+.f64 (cos.f64 x) -1) 1/2) 2)
(*.f64 (/.f64 (+.f64 (cos.f64 x) -1) 4) 4)
(/.f64 (+.f64 (cos.f64 x) -1) 1)
(/.f64 (*.f64 (+.f64 (cos.f64 x) -1) 2) 2)
(/.f64 (*.f64 (+.f64 (cos.f64 x) -1) 4) 4)
(/.f64 (*.f64 (+.f64 (cos.f64 x) -1) 8) 8)
(/.f64 (.f64 2 (.f64 (+.f64 (cos.f64 x) -1) 8)) 16)
(/.f64 (.f64 2 (.f64 2 (*.f64 (+.f64 (cos.f64 x) -1) 8))) 32)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (cos.f64 x) -1) 8)))) 64)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (*.f64 (+.f64 (cos.f64 x) -1) 8))))) 128)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (cos.f64 x) -1) 8))))) (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (cos.f64 x) -1) 8)))))) 256)
(pow.f64 (+.f64 (cos.f64 x) -1) 1)

Outputs
(*.f64 -1/2 (pow.f64 x 2))
(+.f64 (.f64 1/24 (pow.f64 x 4)) (.f64 -1/2 (pow.f64 x 2)))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 1/24 (pow.f64 x 4)))
(+.f64 (.f64 1/24 (pow.f64 x 4)) (+.f64 (.f64 -1/2 (pow.f64 x 2)) (*.f64 -1/720 (pow.f64 x 6))))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 1/24 (pow.f64 x 4)) (*.f64 -1/720 (pow.f64 x 6))))
(+.f64 (.f64 1/24 (pow.f64 x 4)) (+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/720 (pow.f64 x 6)) (.f64 1/40320 (pow.f64 x 8)))))
(+.f64 (.f64 1/24 (pow.f64 x 4)) (+.f64 (.f64 -1/720 (pow.f64 x 6)) (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 1/40320 (pow.f64 x 8)))))
(+.f64 (.f64 1/24 (pow.f64 x 4)) (+.f64 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1/720 (pow.f64 x 6))) (.f64 1/40320 (pow.f64 x 8))))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 1/24 (pow.f64 x 4)) (+.f64 (.f64 -1/720 (pow.f64 x 6)) (.f64 1/40320 (pow.f64 x 8)))))
(+.f64 (cos.f64 x) -1)
(+.f64 (+.f64 (cos.f64 x) -1) 0)
(+.f64 (cos.f64 x) -1)
(+.f64 0 (+.f64 (cos.f64 x) -1))
(+.f64 (cos.f64 x) -1)
(+.f64 -1 (cos.f64 x))
(+.f64 (cos.f64 x) -1)
(+.f64 (.f64 (cos.f64 x) 1/2) (+.f64 (.f64 (cos.f64 x) 1/2) -1))
(+.f64 (cos.f64 x) -1)
(+.f64 (.f64 (+.f64 (cos.f64 x) -1) 1/2) (.f64 (+.f64 (cos.f64 x) -1) 1/2))
(+.f64 (cos.f64 x) -1)
(*.f64 1 (+.f64 (cos.f64 x) -1))
(+.f64 (cos.f64 x) -1)
(*.f64 (+.f64 (cos.f64 x) -1) 1)
(+.f64 (cos.f64 x) -1)
(.f64 2 (.f64 (+.f64 (cos.f64 x) -1) 1/2))
(+.f64 (cos.f64 x) -1)
(*.f64 4 (/.f64 (+.f64 (cos.f64 x) -1) 4))
(+.f64 (cos.f64 x) -1)
(.f64 (.f64 (+.f64 (cos.f64 x) -1) 2) 1/2)
(+.f64 (cos.f64 x) -1)
(.f64 (.f64 (+.f64 (cos.f64 x) -1) 4) 1/4)
(+.f64 (cos.f64 x) -1)
(.f64 1/2 (.f64 (+.f64 (cos.f64 x) -1) 2))
(+.f64 (cos.f64 x) -1)
(.f64 1/4 (.f64 (+.f64 (cos.f64 x) -1) 4))
(+.f64 (cos.f64 x) -1)
(.f64 (.f64 (+.f64 (cos.f64 x) -1) 1/2) 2)
(+.f64 (cos.f64 x) -1)
(*.f64 (/.f64 (+.f64 (cos.f64 x) -1) 4) 4)
(+.f64 (cos.f64 x) -1)
(/.f64 (+.f64 (cos.f64 x) -1) 1)
(+.f64 (cos.f64 x) -1)
(/.f64 (*.f64 (+.f64 (cos.f64 x) -1) 2) 2)
(+.f64 (cos.f64 x) -1)
(/.f64 (*.f64 (+.f64 (cos.f64 x) -1) 4) 4)
(+.f64 (cos.f64 x) -1)
(/.f64 (*.f64 (+.f64 (cos.f64 x) -1) 8) 8)
(+.f64 (cos.f64 x) -1)
(/.f64 (.f64 2 (.f64 (+.f64 (cos.f64 x) -1) 8)) 16)
(+.f64 (cos.f64 x) -1)
(/.f64 (.f64 2 (.f64 2 (*.f64 (+.f64 (cos.f64 x) -1) 8))) 32)
(+.f64 (cos.f64 x) -1)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (cos.f64 x) -1) 8)))) 64)
(+.f64 (cos.f64 x) -1)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (*.f64 (+.f64 (cos.f64 x) -1) 8))))) 128)
(+.f64 (cos.f64 x) -1)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (cos.f64 x) -1) 8))))) (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (cos.f64 x) -1) 8)))))) 256)
(+.f64 (cos.f64 x) -1)
(pow.f64 (+.f64 (cos.f64 x) -1) 1)
(+.f64 (cos.f64 x) -1)

localize96.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.3b	(*.f64 (cos.f64 x) (/.f64 (+.f64 (sqrt.f64 5) -1) 2))
	0.6b	(+.f64 (.f64 (cos.f64 x) (/.f64 (+.f64 (sqrt.f64 5) -1) 2)) (.f64 (cos.f64 y) (/.f64 (-.f64 3 (sqrt.f64 5)) 2)))
	1.0b	(-.f64 3 (sqrt.f64 5))
	2.3b	(-.f64 (cos.f64 x) 1)

Compiler

Compiled 272 to 188 computations (30.9% saved)

eval1.9s (3.4%)

Compiler: Compiled 46673 to 35541 computations (23.9% saved)

prune2.4s (4.1%)

Pruning

33 alts after pruning (32 fresh and 1 done)

	Pruned	Kept	Total
New	843	16	859
Fresh	2	16	18
Picked	1	0	1
Done	3	1	4
Total	849	33	882

Error

0.2b

Counts

882 → 33

Alt Table

Click to see full alt table

Status	Error	Program
	0.4b	(/.f64 (/.f64 (+.f64 2 (.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)) (.f64 (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16)) (.f64 (sqrt.f64 2) (-.f64 (+.f64 (-.f64 -1 (cos.f64 y)) (+.f64 (cos.f64 x) 2)) 1))))) 3) (+.f64 1 (+.f64 (.f64 (cos.f64 x) (/.f64 (+.f64 (sqrt.f64 5) -1) 2)) (*.f64 (cos.f64 y) (/.f64 (-.f64 3 (sqrt.f64 5)) 2)))))
▶	0.4b	(/.f64 (/.f64 (+.f64 2 (.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)) (.f64 (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16)) (.f64 (sqrt.f64 2) (-.f64 (+.f64 (-.f64 -1 (cos.f64 y)) (cos.f64 x)) -1))))) 3) (+.f64 1 (+.f64 (.f64 (cos.f64 x) (/.f64 (+.f64 (sqrt.f64 5) -1) 2)) (*.f64 (cos.f64 y) (/.f64 (-.f64 3 (sqrt.f64 5)) 2)))))
	32.9b	(/.f64 (/.f64 (+.f64 2 (.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)) (.f64 (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16)) (.f64 (sqrt.f64 2) (-.f64 (cos.f64 x) (cos.f64 y)))))) 3) (+.f64 1 (+.f64 (+.f64 (.f64 1/2 (+.f64 (sqrt.f64 5) -1)) (.f64 (+.f64 (sqrt.f64 5) -1) (.f64 (pow.f64 x 2) -1/4))) (*.f64 (cos.f64 y) (/.f64 (-.f64 3 (sqrt.f64 5)) 2)))))
▶	27.0b	(/.f64 (/.f64 (+.f64 2 (.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)) (.f64 (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16)) (.f64 (sqrt.f64 2) (-.f64 (cos.f64 x) (cos.f64 y)))))) 3) (+.f64 1 (.f64 1/2 (+.f64 (*.f64 (cos.f64 y) (-.f64 3 (sqrt.f64 5))) (+.f64 (sqrt.f64 5) -1)))))
	0.4b	(/.f64 (/.f64 (+.f64 2 (.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)) (.f64 (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16)) (.f64 (sqrt.f64 2) (-.f64 (cos.f64 x) (cos.f64 y)))))) 3) (+.f64 1 (.f64 1/2 (+.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) (.f64 (cos.f64 y) (-.f64 3 (sqrt.f64 5)))))))
	25.4b	(/.f64 (/.f64 (+.f64 2 (.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)) (.f64 (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16)) (.f64 (sqrt.f64 2) (-.f64 (cos.f64 x) 1))))) 3) (+.f64 1 (.f64 1/2 (+.f64 (-.f64 3 (sqrt.f64 5)) (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1))))))
	24.1b	(/.f64 (/.f64 (+.f64 2 (.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)) (.f64 (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16)) (.f64 (sqrt.f64 2) (-.f64 (cos.f64 x) 1))))) 3) (+.f64 1 (.f64 1/2 (+.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) (.f64 (cos.f64 y) (-.f64 3 (sqrt.f64 5)))))))
	25.3b	(/.f64 (/.f64 (+.f64 2 (.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)) (.f64 (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16)) (.f64 (sqrt.f64 2) (-.f64 1 (cos.f64 y)))))) 3) (+.f64 1 (+.f64 (.f64 (cos.f64 x) (/.f64 (+.f64 (sqrt.f64 5) -1) 2)) (*.f64 (cos.f64 y) (/.f64 (-.f64 3 (sqrt.f64 5)) 2)))))
	0.4b	(/.f64 (/.f64 (+.f64 2 (.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)) (.f64 (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16)) (.f64 (sqrt.f64 2) (+.f64 (-.f64 -1 (cos.f64 y)) (-.f64 1 (neg.f64 (cos.f64 x)))))))) 3) (+.f64 1 (.f64 1/2 (+.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) (.f64 (cos.f64 y) (-.f64 3 (sqrt.f64 5)))))))
	0.5b	(/.f64 (+.f64 2 (/.f64 (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16)) (-.f64 (sin.f64 y) (.f64 (sin.f64 x) 1/16))))) 1)) (.f64 3 (+.f64 1 (+.f64 (.f64 (cos.f64 x) (/.f64 (+.f64 (sqrt.f64 5) -1) 2)) (.f64 (cos.f64 y) (/.f64 (-.f64 3 (sqrt.f64 5)) 2))))))
	25.7b	(/.f64 (+.f64 2 (.f64 (-.f64 1 (cos.f64 y)) (.f64 (sqrt.f64 2) (.f64 -1/16 (pow.f64 (sin.f64 y) 2))))) (.f64 3 (+.f64 (+.f64 1 (.f64 (cos.f64 x) (/.f64 (+.f64 (sqrt.f64 5) -1) 2))) (.f64 (cos.f64 y) (/.f64 (-.f64 3 (sqrt.f64 5)) 2)))))
▶	24.5b	(/.f64 (+.f64 2 (.f64 (.f64 (+.f64 (cos.f64 x) -1) (pow.f64 (sin.f64 x) 2)) (.f64 (sqrt.f64 2) -1/16))) (.f64 3 (+.f64 1 (+.f64 (.f64 (cos.f64 x) (/.f64 (+.f64 (sqrt.f64 5) -1) 2)) (.f64 (cos.f64 y) (/.f64 (-.f64 3 (sqrt.f64 5)) 2))))))
	25.4b	(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 1 (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
	31.3b	(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (+.f64 (sin.f64 x) (.f64 -1/16 y))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (*.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
	32.6b	(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (+.f64 x (.f64 -1/16 (sin.f64 y)))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (*.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
	23.2b	(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (sin.f64 x)) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
	0.5b	(/.f64 (+.f64 2 (.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16)) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x))))))) (.f64 3 (+.f64 (+.f64 1 (.f64 (cos.f64 x) (/.f64 (+.f64 (sqrt.f64 5) -1) 2))) (.f64 (cos.f64 y) (/.f64 (-.f64 3 (sqrt.f64 5)) 2)))))
✓	25.7b	(/.f64 (+.f64 2 (.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 -1/16 (pow.f64 (sin.f64 y) 2))))) (.f64 3 (+.f64 (+.f64 1 (.f64 (cos.f64 x) (/.f64 (+.f64 (sqrt.f64 5) -1) 2))) (.f64 (cos.f64 y) (/.f64 (-.f64 3 (sqrt.f64 5)) 2)))))
	27.5b	(/.f64 (+.f64 2 (.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 -1/16 (pow.f64 (sin.f64 y) 2))))) (.f64 3 (+.f64 (+.f64 1 (.f64 1/2 (-.f64 (sqrt.f64 5) 1))) (.f64 (cos.f64 y) (/.f64 (-.f64 3 (sqrt.f64 5)) 2)))))
	24.5b	(/.f64 (+.f64 2 (.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 -1/16 (pow.f64 (sin.f64 x) 2))))) (.f64 3 (+.f64 (+.f64 1 (.f64 (cos.f64 x) (/.f64 (+.f64 (sqrt.f64 5) -1) 2))) (.f64 (cos.f64 y) (/.f64 (-.f64 3 (sqrt.f64 5)) 2)))))
	35.2b	(/.f64 (+.f64 2 (.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) 1) (.f64 -1/16 (pow.f64 (sin.f64 y) 2))))) (.f64 3 (+.f64 (+.f64 1 (.f64 (cos.f64 x) (/.f64 (+.f64 (sqrt.f64 5) -1) 2))) (.f64 (cos.f64 y) (/.f64 (-.f64 3 (sqrt.f64 5)) 2)))))
	29.0b	(/.f64 (+.f64 2 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (+.f64 (.f64 (+.f64 (sin.f64 y) (.f64 (sin.f64 y) 1/256)) x) (.f64 -1/16 (pow.f64 (sin.f64 y) 2)))))) (.f64 3 (+.f64 (+.f64 1 (.f64 (cos.f64 x) (/.f64 (+.f64 (sqrt.f64 5) -1) 2))) (.f64 (cos.f64 y) (/.f64 (-.f64 3 (sqrt.f64 5)) 2)))))
	41.2b	(/.f64 (+.f64 2 (.f64 (sqrt.f64 2) (.f64 (.f64 (pow.f64 y 2) (+.f64 (cos.f64 x) -1)) -1/16))) (.f64 3 (+.f64 (+.f64 1 (.f64 (cos.f64 x) (/.f64 (+.f64 (sqrt.f64 5) -1) 2))) (.f64 (cos.f64 y) (/.f64 (-.f64 3 (sqrt.f64 5)) 2)))))
	27.0b	(/.f64 (+.f64 2 (.f64 (sqrt.f64 2) (.f64 (.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y))))) (.f64 3 (+.f64 1 (.f64 1/2 (+.f64 (.f64 (cos.f64 y) (-.f64 3 (sqrt.f64 5))) (+.f64 (sqrt.f64 5) -1))))))
▶	0.5b	(/.f64 (+.f64 2 (.f64 (sqrt.f64 2) (.f64 (.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y))))) (.f64 3 (+.f64 1 (.f64 1/2 (+.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) (*.f64 (cos.f64 y) (-.f64 3 (sqrt.f64 5))))))))
	25.4b	(/.f64 (+.f64 2 (.f64 (sqrt.f64 2) (.f64 (.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) 1)))) (.f64 3 (+.f64 1 (.f64 1/2 (+.f64 (-.f64 3 (sqrt.f64 5)) (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)))))))
	24.2b	(/.f64 (+.f64 2 (.f64 (sqrt.f64 2) (.f64 (.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) 1)))) (.f64 3 (+.f64 1 (.f64 1/2 (+.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) (*.f64 (cos.f64 y) (-.f64 3 (sqrt.f64 5))))))))
	35.2b	(/.f64 (+.f64 2 (.f64 (sqrt.f64 2) (.f64 (.f64 -1/16 (pow.f64 (sin.f64 y) 2)) (-.f64 (cos.f64 x) 1)))) (.f64 3 (+.f64 1 (+.f64 (.f64 (cos.f64 x) (/.f64 (+.f64 (sqrt.f64 5) -1) 2)) (.f64 (cos.f64 y) (/.f64 (-.f64 3 (sqrt.f64 5)) 2))))))
	24.5b	(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (pow.f64 (sin.f64 x) 2) (.f64 (+.f64 (cos.f64 x) -1) (sqrt.f64 2))))) (.f64 3 (+.f64 (+.f64 1 (.f64 (cos.f64 x) (/.f64 (+.f64 (sqrt.f64 5) -1) 2))) (.f64 (cos.f64 y) (/.f64 (-.f64 3 (sqrt.f64 5)) 2)))))
	36.6b	(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2))))) (.f64 3 (+.f64 1 (.f64 1/2 (+.f64 (-.f64 3 (sqrt.f64 5)) (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)))))))
▶	27.5b	(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2))))) (.f64 3 (+.f64 1 (.f64 1/2 (+.f64 (.f64 (cos.f64 y) (-.f64 3 (sqrt.f64 5))) (+.f64 (sqrt.f64 5) -1))))))
	25.7b	(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2))))) (.f64 3 (+.f64 1 (.f64 1/2 (+.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) (*.f64 (cos.f64 y) (-.f64 3 (sqrt.f64 5))))))))
	25.7b	(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (+.f64 -2 (-.f64 1 (+.f64 (cos.f64 y) -2))) (pow.f64 (sin.f64 y) 2))))) (.f64 3 (+.f64 1 (+.f64 (.f64 (cos.f64 x) (/.f64 (+.f64 (sqrt.f64 5) -1) 2)) (.f64 (cos.f64 y) (/.f64 (-.f64 3 (sqrt.f64 5)) 2))))))

Compiler

Compiled 3075 to 2520 computations (18% saved)

localize1.2s (2.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.4b	(-.f64 -1 (cos.f64 y))
	0.6b	(+.f64 (.f64 (cos.f64 x) (/.f64 (+.f64 (sqrt.f64 5) -1) 2)) (.f64 (cos.f64 y) (/.f64 (-.f64 3 (sqrt.f64 5)) 2)))
	1.0b	(-.f64 3 (sqrt.f64 5))
✓	2.4b	(-.f64 (+.f64 (-.f64 -1 (cos.f64 y)) (cos.f64 x)) -1)

Compiler

Compiled 318 to 214 computations (32.7% saved)

series1.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite306.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1656×	`rational.json-1`
1656×	`rational.json-2`
1656×	`rational.json-3`
1386×	`rational.json-simplify-35`
1076×	`exponential.json-3`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	11	27
1	79	21
2	194	19
3	418	19
4	920	19
5	2365	19
6	4969	19
7	7249	19

Stop Event

1×	node limit

Counts

1 → 32

Calls

Call 1

Inputs
(-.f64 (+.f64 (-.f64 -1 (cos.f64 y)) (cos.f64 x)) -1)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 (cos.f64 x) (-.f64 1 (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 -1 (cos.f64 y)) (+.f64 (cos.f64 x) 1))))) (#(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 (-.f64 -1 (cos.f64 y)) (cos.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (cos.f64 x) (neg.f64 (cos.f64 y))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.f64 (cos.f64 x) (neg.f64 (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (-.f64 -1 (cos.f64 y)) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (cos.f64 y)) (cos.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (cos.f64 x) 1) (-.f64 -1 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (cos.f64 x) (-.f64 1 (cos.f64 y))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 (cos.f64 x) (neg.f64 (cos.f64 y))) 1/2) (*.f64 (+.f64 (cos.f64 x) (neg.f64 (cos.f64 y))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (cos.f64 x) (neg.f64 (cos.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (cos.f64 x) (neg.f64 (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (+.f64 (cos.f64 x) (neg.f64 (cos.f64 y))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (+.f64 (*.f64 (cos.f64 x) 1/2) (/.f64 (cos.f64 y) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (cos.f64 x) (neg.f64 (cos.f64 y))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (+.f64 (cos.f64 x) (neg.f64 (cos.f64 y))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (cos.f64 x) (neg.f64 (cos.f64 y))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (+.f64 (cos.f64 x) (neg.f64 (cos.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (+.f64 (*.f64 (cos.f64 y) -2) (*.f64 (cos.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (+.f64 (*.f64 (cos.f64 x) 2) (neg.f64 (*.f64 (cos.f64 y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (cos.f64 x) (neg.f64 (cos.f64 y))) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (+.f64 (cos.f64 x) (neg.f64 (cos.f64 y))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (cos.f64 x) (neg.f64 (cos.f64 y))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (cos.f64 x) (neg.f64 (cos.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (cos.f64 x) (neg.f64 (cos.f64 y))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (cos.f64 x) (neg.f64 (cos.f64 y))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (cos.f64 x) (neg.f64 (cos.f64 y))) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (+.f64 (cos.f64 x) (neg.f64 (cos.f64 y))) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (cos.f64 x) (neg.f64 (cos.f64 y))) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (cos.f64 x) (neg.f64 (cos.f64 y))) 8))) (*.f64 2 (*.f64 2 (*.f64 (+.f64 (cos.f64 x) (neg.f64 (cos.f64 y))) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (cos.f64 x) (neg.f64 (cos.f64 y))) 1)))))

simplify304.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1764×	`rational.json-simplify-1`
1704×	`rational.json-simplify-2`
1630×	`rational.json-simplify-35`
1208×	`rational.json-simplify-51`
976×	`rational.json-simplify-48`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	112	1042
1	235	1042
2	507	1042
3	1203	1042
4	2173	1042
5	3452	1042
6	4089	1042
7	4427	1042
8	4914	1042
9	5398	1042
10	5730	1042
11	6357	1042
12	6663	1042
13	6963	1042
14	7348	1042
15	7789	1042

Stop Event

1×	node limit

Counts

56 → 67

Calls

Call 1

Inputs
(-.f64 (cos.f64 x) 1)
(-.f64 (+.f64 (cos.f64 x) (*.f64 1/2 (pow.f64 y 2))) 1)
(-.f64 (+.f64 (cos.f64 x) (+.f64 (.f64 1/2 (pow.f64 y 2)) (.f64 -1/24 (pow.f64 y 4)))) 1)
(-.f64 (+.f64 (cos.f64 x) (+.f64 (.f64 1/2 (pow.f64 y 2)) (+.f64 (.f64 1/720 (pow.f64 y 6)) (*.f64 -1/24 (pow.f64 y 4))))) 1)
(-.f64 (cos.f64 x) (cos.f64 y))
(-.f64 (cos.f64 x) (cos.f64 y))
(-.f64 (cos.f64 x) (cos.f64 y))
(-.f64 (cos.f64 x) (cos.f64 y))
(-.f64 (cos.f64 x) (cos.f64 y))
(-.f64 (cos.f64 x) (cos.f64 y))
(-.f64 (cos.f64 x) (cos.f64 y))
(-.f64 (cos.f64 x) (cos.f64 y))
(-.f64 1 (cos.f64 y))
(-.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 x 2))) (cos.f64 y))
(-.f64 (+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 1/24 (pow.f64 x 4)))) (cos.f64 y))
(-.f64 (+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 1/24 (pow.f64 x 4)) (*.f64 -1/720 (pow.f64 x 6))))) (cos.f64 y))
(-.f64 (cos.f64 x) (cos.f64 y))
(-.f64 (cos.f64 x) (cos.f64 y))
(-.f64 (cos.f64 x) (cos.f64 y))
(-.f64 (cos.f64 x) (cos.f64 y))
(-.f64 (cos.f64 x) (cos.f64 y))
(-.f64 (cos.f64 x) (cos.f64 y))
(-.f64 (cos.f64 x) (cos.f64 y))
(-.f64 (cos.f64 x) (cos.f64 y))
(+.f64 -1 (+.f64 (cos.f64 x) (-.f64 1 (cos.f64 y))))
(+.f64 (-.f64 -1 (cos.f64 y)) (+.f64 (cos.f64 x) 1))
(+.f64 (cos.f64 x) (neg.f64 (cos.f64 y)))
(+.f64 (+.f64 (-.f64 -1 (cos.f64 y)) (cos.f64 x)) 1)
(+.f64 (+.f64 (cos.f64 x) (neg.f64 (cos.f64 y))) 0)
(+.f64 0 (+.f64 (cos.f64 x) (neg.f64 (cos.f64 y))))
(+.f64 1 (+.f64 (-.f64 -1 (cos.f64 y)) (cos.f64 x)))
(+.f64 (neg.f64 (cos.f64 y)) (cos.f64 x))
(+.f64 (+.f64 (cos.f64 x) 1) (-.f64 -1 (cos.f64 y)))
(+.f64 (+.f64 (cos.f64 x) (-.f64 1 (cos.f64 y))) -1)
(+.f64 (.f64 (+.f64 (cos.f64 x) (neg.f64 (cos.f64 y))) 1/2) (.f64 (+.f64 (cos.f64 x) (neg.f64 (cos.f64 y))) 1/2))
(*.f64 (+.f64 (cos.f64 x) (neg.f64 (cos.f64 y))) 1)
(*.f64 1 (+.f64 (cos.f64 x) (neg.f64 (cos.f64 y))))
(.f64 2 (.f64 (+.f64 (cos.f64 x) (neg.f64 (cos.f64 y))) 1/2))
(.f64 2 (+.f64 (.f64 (cos.f64 x) 1/2) (/.f64 (cos.f64 y) -2)))
(.f64 (.f64 (+.f64 (cos.f64 x) (neg.f64 (cos.f64 y))) 2) 1/2)
(*.f64 4 (/.f64 (+.f64 (cos.f64 x) (neg.f64 (cos.f64 y))) 4))
(.f64 (.f64 (+.f64 (cos.f64 x) (neg.f64 (cos.f64 y))) 4) 1/4)
(.f64 1/2 (.f64 (+.f64 (cos.f64 x) (neg.f64 (cos.f64 y))) 2))
(.f64 1/2 (+.f64 (.f64 (cos.f64 y) -2) (*.f64 (cos.f64 x) 2)))
(.f64 1/2 (+.f64 (.f64 (cos.f64 x) 2) (neg.f64 (*.f64 (cos.f64 y) 2))))
(.f64 (.f64 (+.f64 (cos.f64 x) (neg.f64 (cos.f64 y))) 1/2) 2)
(.f64 1/4 (.f64 (+.f64 (cos.f64 x) (neg.f64 (cos.f64 y))) 4))
(*.f64 (/.f64 (+.f64 (cos.f64 x) (neg.f64 (cos.f64 y))) 4) 4)
(/.f64 (+.f64 (cos.f64 x) (neg.f64 (cos.f64 y))) 1)
(/.f64 (*.f64 (+.f64 (cos.f64 x) (neg.f64 (cos.f64 y))) 2) 2)
(/.f64 (*.f64 (+.f64 (cos.f64 x) (neg.f64 (cos.f64 y))) 4) 4)
(/.f64 (*.f64 (+.f64 (cos.f64 x) (neg.f64 (cos.f64 y))) 8) 8)
(/.f64 (.f64 2 (.f64 (+.f64 (cos.f64 x) (neg.f64 (cos.f64 y))) 8)) 16)
(/.f64 (.f64 2 (.f64 2 (*.f64 (+.f64 (cos.f64 x) (neg.f64 (cos.f64 y))) 8))) 32)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (cos.f64 x) (neg.f64 (cos.f64 y))) 8))) (.f64 2 (.f64 2 (.f64 (+.f64 (cos.f64 x) (neg.f64 (cos.f64 y))) 8)))) 64)
(pow.f64 (+.f64 (cos.f64 x) (neg.f64 (cos.f64 y))) 1)

Outputs
(-.f64 (cos.f64 x) 1)
(+.f64 (cos.f64 x) -1)
(-.f64 (+.f64 (cos.f64 x) (*.f64 1/2 (pow.f64 y 2))) 1)
(+.f64 (*.f64 1/2 (pow.f64 y 2)) (+.f64 (cos.f64 x) -1))
(+.f64 (cos.f64 x) (-.f64 (*.f64 1/2 (pow.f64 y 2)) 1))
(+.f64 (cos.f64 x) (+.f64 (*.f64 1/2 (pow.f64 y 2)) -1))
(+.f64 (+.f64 (cos.f64 x) -1) (*.f64 1/2 (pow.f64 y 2)))
(-.f64 (+.f64 (cos.f64 x) (+.f64 (.f64 1/2 (pow.f64 y 2)) (.f64 -1/24 (pow.f64 y 4)))) 1)
(+.f64 (+.f64 (.f64 1/2 (pow.f64 y 2)) (.f64 -1/24 (pow.f64 y 4))) (+.f64 (cos.f64 x) -1))
(+.f64 (+.f64 (cos.f64 x) -1) (+.f64 (.f64 1/2 (pow.f64 y 2)) (.f64 -1/24 (pow.f64 y 4))))
(+.f64 (cos.f64 x) (+.f64 (.f64 1/2 (pow.f64 y 2)) (+.f64 (.f64 -1/24 (pow.f64 y 4)) -1)))
(-.f64 (+.f64 (cos.f64 x) (+.f64 (.f64 1/2 (pow.f64 y 2)) (+.f64 (.f64 1/720 (pow.f64 y 6)) (*.f64 -1/24 (pow.f64 y 4))))) 1)
(+.f64 (+.f64 (.f64 1/2 (pow.f64 y 2)) (+.f64 (.f64 -1/24 (pow.f64 y 4)) (*.f64 1/720 (pow.f64 y 6)))) (+.f64 (cos.f64 x) -1))
(+.f64 (cos.f64 x) (-.f64 (+.f64 (.f64 -1/24 (pow.f64 y 4)) (+.f64 (.f64 1/720 (pow.f64 y 6)) (*.f64 1/2 (pow.f64 y 2)))) 1))
(+.f64 (cos.f64 x) (+.f64 (+.f64 (.f64 -1/24 (pow.f64 y 4)) (.f64 1/720 (pow.f64 y 6))) (+.f64 (*.f64 1/2 (pow.f64 y 2)) -1)))
(+.f64 (cos.f64 x) (+.f64 (.f64 -1/24 (pow.f64 y 4)) (+.f64 (+.f64 (.f64 1/2 (pow.f64 y 2)) -1) (*.f64 1/720 (pow.f64 y 6)))))
(+.f64 (cos.f64 x) (+.f64 (.f64 -1/24 (pow.f64 y 4)) (+.f64 (.f64 1/2 (pow.f64 y 2)) (+.f64 (*.f64 1/720 (pow.f64 y 6)) -1))))
(-.f64 (cos.f64 x) (cos.f64 y))
(-.f64 (cos.f64 x) (cos.f64 y))
(-.f64 (cos.f64 x) (cos.f64 y))
(-.f64 (cos.f64 x) (cos.f64 y))
(-.f64 (cos.f64 x) (cos.f64 y))
(-.f64 (cos.f64 x) (cos.f64 y))
(-.f64 (cos.f64 x) (cos.f64 y))
(-.f64 (cos.f64 x) (cos.f64 y))
(-.f64 1 (cos.f64 y))
(-.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 x 2))) (cos.f64 y))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (-.f64 1 (cos.f64 y)))
(+.f64 (-.f64 1 (cos.f64 y)) (*.f64 -1/2 (pow.f64 x 2)))
(-.f64 (+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 1/24 (pow.f64 x 4)))) (cos.f64 y))
(+.f64 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 1/24 (pow.f64 x 4))) (-.f64 1 (cos.f64 y)))
(+.f64 (-.f64 1 (cos.f64 y)) (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 1/24 (pow.f64 x 4))))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 1/24 (pow.f64 x 4)) (-.f64 1 (cos.f64 y))))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 1 (-.f64 (.f64 1/24 (pow.f64 x 4)) (cos.f64 y))))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (-.f64 (.f64 1/24 (pow.f64 x 4)) (cos.f64 y))))
(-.f64 (+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 1/24 (pow.f64 x 4)) (*.f64 -1/720 (pow.f64 x 6))))) (cos.f64 y))
(+.f64 (+.f64 (.f64 1/24 (pow.f64 x 4)) (+.f64 (.f64 -1/720 (pow.f64 x 6)) (*.f64 -1/2 (pow.f64 x 2)))) (-.f64 1 (cos.f64 y)))
(+.f64 (-.f64 1 (cos.f64 y)) (+.f64 (.f64 1/24 (pow.f64 x 4)) (+.f64 (.f64 -1/2 (pow.f64 x 2)) (*.f64 -1/720 (pow.f64 x 6)))))
(+.f64 (.f64 -1/720 (pow.f64 x 6)) (+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/24 (pow.f64 x 4)) (-.f64 1 (cos.f64 y)))))
(+.f64 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 1 (-.f64 (.f64 1/24 (pow.f64 x 4)) (cos.f64 y)))) (*.f64 -1/720 (pow.f64 x 6)))
(+.f64 (.f64 1/24 (pow.f64 x 4)) (+.f64 (+.f64 (-.f64 1 (cos.f64 y)) (.f64 -1/2 (pow.f64 x 2))) (*.f64 -1/720 (pow.f64 x 6))))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (-.f64 (+.f64 (.f64 1/24 (pow.f64 x 4)) (*.f64 -1/720 (pow.f64 x 6))) (cos.f64 y))))
(-.f64 (cos.f64 x) (cos.f64 y))
(-.f64 (cos.f64 x) (cos.f64 y))
(-.f64 (cos.f64 x) (cos.f64 y))
(-.f64 (cos.f64 x) (cos.f64 y))
(-.f64 (cos.f64 x) (cos.f64 y))
(-.f64 (cos.f64 x) (cos.f64 y))
(-.f64 (cos.f64 x) (cos.f64 y))
(-.f64 (cos.f64 x) (cos.f64 y))
(+.f64 -1 (+.f64 (cos.f64 x) (-.f64 1 (cos.f64 y))))
(-.f64 (cos.f64 x) (cos.f64 y))
(+.f64 (-.f64 -1 (cos.f64 y)) (+.f64 (cos.f64 x) 1))
(-.f64 (cos.f64 x) (cos.f64 y))
(+.f64 (cos.f64 x) (neg.f64 (cos.f64 y)))
(-.f64 (cos.f64 x) (cos.f64 y))
(+.f64 (+.f64 (-.f64 -1 (cos.f64 y)) (cos.f64 x)) 1)
(-.f64 (cos.f64 x) (cos.f64 y))
(+.f64 (+.f64 (cos.f64 x) (neg.f64 (cos.f64 y))) 0)
(-.f64 (cos.f64 x) (cos.f64 y))
(+.f64 0 (+.f64 (cos.f64 x) (neg.f64 (cos.f64 y))))
(-.f64 (cos.f64 x) (cos.f64 y))
(+.f64 1 (+.f64 (-.f64 -1 (cos.f64 y)) (cos.f64 x)))
(-.f64 (cos.f64 x) (cos.f64 y))
(+.f64 (neg.f64 (cos.f64 y)) (cos.f64 x))
(-.f64 (cos.f64 x) (cos.f64 y))
(+.f64 (+.f64 (cos.f64 x) 1) (-.f64 -1 (cos.f64 y)))
(-.f64 (cos.f64 x) (cos.f64 y))
(+.f64 (+.f64 (cos.f64 x) (-.f64 1 (cos.f64 y))) -1)
(-.f64 (cos.f64 x) (cos.f64 y))
(+.f64 (.f64 (+.f64 (cos.f64 x) (neg.f64 (cos.f64 y))) 1/2) (.f64 (+.f64 (cos.f64 x) (neg.f64 (cos.f64 y))) 1/2))
(-.f64 (cos.f64 x) (cos.f64 y))
(*.f64 (+.f64 (cos.f64 x) (neg.f64 (cos.f64 y))) 1)
(-.f64 (cos.f64 x) (cos.f64 y))
(*.f64 1 (+.f64 (cos.f64 x) (neg.f64 (cos.f64 y))))
(-.f64 (cos.f64 x) (cos.f64 y))
(.f64 2 (.f64 (+.f64 (cos.f64 x) (neg.f64 (cos.f64 y))) 1/2))
(-.f64 (cos.f64 x) (cos.f64 y))
(.f64 2 (+.f64 (.f64 (cos.f64 x) 1/2) (/.f64 (cos.f64 y) -2)))
(.f64 (.f64 (+.f64 (cos.f64 x) (neg.f64 (cos.f64 y))) 2) 1/2)
(-.f64 (cos.f64 x) (cos.f64 y))
(*.f64 4 (/.f64 (+.f64 (cos.f64 x) (neg.f64 (cos.f64 y))) 4))
(-.f64 (cos.f64 x) (cos.f64 y))
(.f64 (.f64 (+.f64 (cos.f64 x) (neg.f64 (cos.f64 y))) 4) 1/4)
(-.f64 (cos.f64 x) (cos.f64 y))
(.f64 1/2 (.f64 (+.f64 (cos.f64 x) (neg.f64 (cos.f64 y))) 2))
(-.f64 (cos.f64 x) (cos.f64 y))
(.f64 1/2 (+.f64 (.f64 (cos.f64 y) -2) (*.f64 (cos.f64 x) 2)))
(-.f64 (cos.f64 x) (cos.f64 y))
(.f64 1/2 (+.f64 (.f64 (cos.f64 x) 2) (neg.f64 (*.f64 (cos.f64 y) 2))))
(-.f64 (cos.f64 x) (cos.f64 y))
(.f64 (.f64 (+.f64 (cos.f64 x) (neg.f64 (cos.f64 y))) 1/2) 2)
(-.f64 (cos.f64 x) (cos.f64 y))
(.f64 1/4 (.f64 (+.f64 (cos.f64 x) (neg.f64 (cos.f64 y))) 4))
(-.f64 (cos.f64 x) (cos.f64 y))
(*.f64 (/.f64 (+.f64 (cos.f64 x) (neg.f64 (cos.f64 y))) 4) 4)
(-.f64 (cos.f64 x) (cos.f64 y))
(/.f64 (+.f64 (cos.f64 x) (neg.f64 (cos.f64 y))) 1)
(-.f64 (cos.f64 x) (cos.f64 y))
(/.f64 (*.f64 (+.f64 (cos.f64 x) (neg.f64 (cos.f64 y))) 2) 2)
(-.f64 (cos.f64 x) (cos.f64 y))
(/.f64 (*.f64 (+.f64 (cos.f64 x) (neg.f64 (cos.f64 y))) 4) 4)
(-.f64 (cos.f64 x) (cos.f64 y))
(/.f64 (*.f64 (+.f64 (cos.f64 x) (neg.f64 (cos.f64 y))) 8) 8)
(-.f64 (cos.f64 x) (cos.f64 y))
(/.f64 (.f64 2 (.f64 (+.f64 (cos.f64 x) (neg.f64 (cos.f64 y))) 8)) 16)
(-.f64 (cos.f64 x) (cos.f64 y))
(/.f64 (.f64 2 (.f64 2 (*.f64 (+.f64 (cos.f64 x) (neg.f64 (cos.f64 y))) 8))) 32)
(-.f64 (cos.f64 x) (cos.f64 y))
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (cos.f64 x) (neg.f64 (cos.f64 y))) 8))) (.f64 2 (.f64 2 (.f64 (+.f64 (cos.f64 x) (neg.f64 (cos.f64 y))) 8)))) 64)
(-.f64 (cos.f64 x) (cos.f64 y))
(pow.f64 (+.f64 (cos.f64 x) (neg.f64 (cos.f64 y))) 1)
(-.f64 (cos.f64 x) (cos.f64 y))

localize1.0s (1.8%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(pow.f64 (sin.f64 y) 2)
✓	0.4b	(+.f64 (*.f64 (cos.f64 y) (-.f64 3 (sqrt.f64 5))) (+.f64 (sqrt.f64 5) -1))
	1.0b	(-.f64 3 (sqrt.f64 5))
	2.6b	(-.f64 1 (cos.f64 y))

Compiler

Compiled 187 to 148 computations (20.9% saved)

series1.0ms (0%)

Counts

2 → 16

Calls

6 calls:

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

rewrite103.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1676×	`rational.json-1`
1676×	`rational.json-2`
1676×	`rational.json-3`
1442×	`rational.json-simplify-35`
1058×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	48
1	111	48
2	228	48
3	469	48
4	1006	48
5	2567	48
6	5136	48
7	7105	48

Stop Event

1×	node limit

Counts

2 → 46

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (sqrt.f64 5) (+.f64 (*.f64 (cos.f64 y) (-.f64 3 (sqrt.f64 5))) -1)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (sqrt.f64 5) (*.f64 (cos.f64 y) (-.f64 3 (sqrt.f64 5)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 5) (+.f64 (*.f64 (cos.f64 y) (-.f64 3 (sqrt.f64 5))) -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (+.f64 (sqrt.f64 5) (+.f64 (*.f64 (cos.f64 y) (-.f64 3 (sqrt.f64 5))) -1)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (sqrt.f64 5) (+.f64 (*.f64 (cos.f64 y) (-.f64 3 (sqrt.f64 5))) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (sqrt.f64 5) (+.f64 (*.f64 (cos.f64 y) (-.f64 3 (sqrt.f64 5))) -1)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (+.f64 (sqrt.f64 5) (+.f64 (*.f64 (cos.f64 y) (-.f64 3 (sqrt.f64 5))) -1)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (sqrt.f64 5) (+.f64 (*.f64 (cos.f64 y) (-.f64 3 (sqrt.f64 5))) -1)) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (+.f64 (sqrt.f64 5) (+.f64 (*.f64 (cos.f64 y) (-.f64 3 (sqrt.f64 5))) -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (sqrt.f64 5) (+.f64 (*.f64 (cos.f64 y) (-.f64 3 (sqrt.f64 5))) -1)) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (+.f64 (sqrt.f64 5) (+.f64 (*.f64 (cos.f64 y) (-.f64 3 (sqrt.f64 5))) -1)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (sqrt.f64 5) (+.f64 (*.f64 (cos.f64 y) (-.f64 3 (sqrt.f64 5))) -1)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (sqrt.f64 5) (+.f64 (*.f64 (cos.f64 y) (-.f64 3 (sqrt.f64 5))) -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (sqrt.f64 5) (+.f64 (*.f64 (cos.f64 y) (-.f64 3 (sqrt.f64 5))) -1)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (sqrt.f64 5) (+.f64 (*.f64 (cos.f64 y) (-.f64 3 (sqrt.f64 5))) -1)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (+.f64 (sqrt.f64 5) (+.f64 (*.f64 (cos.f64 y) (-.f64 3 (sqrt.f64 5))) -1)) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (sqrt.f64 5) (+.f64 (*.f64 (cos.f64 y) (-.f64 3 (sqrt.f64 5))) -1)) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (sqrt.f64 5) (+.f64 (*.f64 (cos.f64 y) (-.f64 3 (sqrt.f64 5))) -1)) 4)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (sqrt.f64 5) (+.f64 (*.f64 (cos.f64 y) (-.f64 3 (sqrt.f64 5))) -1)) 4)))) (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (sqrt.f64 5) (+.f64 (*.f64 (cos.f64 y) (-.f64 3 (sqrt.f64 5))) -1)) 4))))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (sqrt.f64 5) (+.f64 (*.f64 (cos.f64 y) (-.f64 3 (sqrt.f64 5))) -1)) 1)))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (sin.f64 y) 2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (sin.f64 y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 (sin.f64 y) 2) 1/2) (*.f64 (pow.f64 (sin.f64 y) 2) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (pow.f64 (sin.f64 y) 2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (pow.f64 (sin.f64 y) 2) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sin.f64 y) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (sin.f64 y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (pow.f64 (sin.f64 y) 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (pow.f64 (sin.f64 y) 2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (*.f64 (pow.f64 (sin.f64 y) 2) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (sin.f64 y) 2) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 2 (pow.f64 (sin.f64 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (sin.f64 y) 2) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 16 (pow.f64 (/.f64 (sin.f64 y) 4) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (pow.f64 (sin.f64 y) 2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (sin.f64 y) 2) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (sin.f64 y) 2) 1/4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (sin.f64 y) 4) 2) 1/16)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (neg.f64 (sin.f64 y)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (sin.f64 y) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (pow.f64 (sin.f64 y) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (sin.f64 y) 2) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (pow.f64 (sin.f64 y) 2) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 (sin.f64 y) 2) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 (sin.f64 y) 2) 4)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 (sin.f64 y) 2) 4)))) (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 (sin.f64 y) 2) 4))))) 64)))))

simplify677.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1696×	`rational.json-simplify-1`
1670×	`rational.json-simplify-35`
1060×	`rational.json-simplify-2`
866×	`rational.json-simplify-26`
526×	`rational.json-simplify-52`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	129	1678
1	258	1678
2	623	1678
3	1389	1646
4	2374	1646
5	2913	1646
6	3180	1646
7	3848	1646
8	4279	1646
9	4479	1646
10	4709	1646
11	5001	1646
12	5274	1646
13	5578	1646
14	6199	1646
15	6623	1646
16	7136	1646
17	7944	1646

Stop Event

1×	node limit

Counts

62 → 81

Calls

Call 1

Inputs
2
(+.f64 2 (.f64 -1/2 (.f64 (pow.f64 y 2) (-.f64 3 (sqrt.f64 5)))))
(+.f64 2 (+.f64 (.f64 1/24 (.f64 (pow.f64 y 4) (-.f64 3 (sqrt.f64 5)))) (.f64 -1/2 (.f64 (pow.f64 y 2) (-.f64 3 (sqrt.f64 5))))))
(+.f64 (.f64 -1/720 (.f64 (pow.f64 y 6) (-.f64 3 (sqrt.f64 5)))) (+.f64 2 (+.f64 (.f64 1/24 (.f64 (pow.f64 y 4) (-.f64 3 (sqrt.f64 5)))) (.f64 -1/2 (.f64 (pow.f64 y 2) (-.f64 3 (sqrt.f64 5)))))))
(-.f64 (+.f64 (sqrt.f64 5) (*.f64 (-.f64 3 (sqrt.f64 5)) (cos.f64 y))) 1)
(-.f64 (+.f64 (sqrt.f64 5) (*.f64 (-.f64 3 (sqrt.f64 5)) (cos.f64 y))) 1)
(-.f64 (+.f64 (sqrt.f64 5) (*.f64 (-.f64 3 (sqrt.f64 5)) (cos.f64 y))) 1)
(-.f64 (+.f64 (sqrt.f64 5) (*.f64 (-.f64 3 (sqrt.f64 5)) (cos.f64 y))) 1)
(-.f64 (+.f64 (sqrt.f64 5) (*.f64 (-.f64 3 (sqrt.f64 5)) (cos.f64 y))) 1)
(-.f64 (+.f64 (sqrt.f64 5) (*.f64 (-.f64 3 (sqrt.f64 5)) (cos.f64 y))) 1)
(-.f64 (+.f64 (sqrt.f64 5) (*.f64 (-.f64 3 (sqrt.f64 5)) (cos.f64 y))) 1)
(-.f64 (+.f64 (sqrt.f64 5) (*.f64 (-.f64 3 (sqrt.f64 5)) (cos.f64 y))) 1)
(pow.f64 y 2)
(+.f64 (*.f64 -1/3 (pow.f64 y 4)) (pow.f64 y 2))
(+.f64 (.f64 -1/3 (pow.f64 y 4)) (+.f64 (.f64 2/45 (pow.f64 y 6)) (pow.f64 y 2)))
(+.f64 (.f64 -1/3 (pow.f64 y 4)) (+.f64 (.f64 2/45 (pow.f64 y 6)) (+.f64 (pow.f64 y 2) (*.f64 -1/315 (pow.f64 y 8)))))
(-.f64 (+.f64 (sqrt.f64 5) (+.f64 (*.f64 (cos.f64 y) (-.f64 3 (sqrt.f64 5))) -1)) 0)
(-.f64 (+.f64 (sqrt.f64 5) (*.f64 (cos.f64 y) (-.f64 3 (sqrt.f64 5)))) 1)
(.f64 (+.f64 (sqrt.f64 5) (+.f64 (.f64 (cos.f64 y) (-.f64 3 (sqrt.f64 5))) -1)) 1)
(.f64 2 (.f64 (+.f64 (sqrt.f64 5) (+.f64 (*.f64 (cos.f64 y) (-.f64 3 (sqrt.f64 5))) -1)) 1/2))
(.f64 1 (+.f64 (sqrt.f64 5) (+.f64 (.f64 (cos.f64 y) (-.f64 3 (sqrt.f64 5))) -1)))
(.f64 (.f64 (+.f64 (sqrt.f64 5) (+.f64 (*.f64 (cos.f64 y) (-.f64 3 (sqrt.f64 5))) -1)) 2) 1/2)
(.f64 4 (/.f64 (+.f64 (sqrt.f64 5) (+.f64 (.f64 (cos.f64 y) (-.f64 3 (sqrt.f64 5))) -1)) 4))
(.f64 (.f64 (+.f64 (sqrt.f64 5) (+.f64 (*.f64 (cos.f64 y) (-.f64 3 (sqrt.f64 5))) -1)) 4) 1/4)
(.f64 1/2 (.f64 (+.f64 (sqrt.f64 5) (+.f64 (*.f64 (cos.f64 y) (-.f64 3 (sqrt.f64 5))) -1)) 2))
(.f64 (.f64 (+.f64 (sqrt.f64 5) (+.f64 (*.f64 (cos.f64 y) (-.f64 3 (sqrt.f64 5))) -1)) 1/2) 2)
(.f64 1/4 (.f64 (+.f64 (sqrt.f64 5) (+.f64 (*.f64 (cos.f64 y) (-.f64 3 (sqrt.f64 5))) -1)) 4))
(.f64 (/.f64 (+.f64 (sqrt.f64 5) (+.f64 (.f64 (cos.f64 y) (-.f64 3 (sqrt.f64 5))) -1)) 4) 4)
(/.f64 (+.f64 (sqrt.f64 5) (+.f64 (*.f64 (cos.f64 y) (-.f64 3 (sqrt.f64 5))) -1)) 1)
(/.f64 (.f64 (+.f64 (sqrt.f64 5) (+.f64 (.f64 (cos.f64 y) (-.f64 3 (sqrt.f64 5))) -1)) 2) 2)
(/.f64 (.f64 (+.f64 (sqrt.f64 5) (+.f64 (.f64 (cos.f64 y) (-.f64 3 (sqrt.f64 5))) -1)) 4) 4)
(/.f64 (.f64 2 (.f64 (+.f64 (sqrt.f64 5) (+.f64 (*.f64 (cos.f64 y) (-.f64 3 (sqrt.f64 5))) -1)) 4)) 8)
(/.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (sqrt.f64 5) (+.f64 (.f64 (cos.f64 y) (-.f64 3 (sqrt.f64 5))) -1)) 4))) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (sqrt.f64 5) (+.f64 (*.f64 (cos.f64 y) (-.f64 3 (sqrt.f64 5))) -1)) 4)))) 32)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (sqrt.f64 5) (+.f64 (.f64 (cos.f64 y) (-.f64 3 (sqrt.f64 5))) -1)) 4)))) (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (sqrt.f64 5) (+.f64 (.f64 (cos.f64 y) (-.f64 3 (sqrt.f64 5))) -1)) 4))))) 64)
(pow.f64 (+.f64 (sqrt.f64 5) (+.f64 (*.f64 (cos.f64 y) (-.f64 3 (sqrt.f64 5))) -1)) 1)
(+.f64 (pow.f64 (sin.f64 y) 2) 0)
(+.f64 0 (pow.f64 (sin.f64 y) 2))
(+.f64 (.f64 (pow.f64 (sin.f64 y) 2) 1/2) (.f64 (pow.f64 (sin.f64 y) 2) 1/2))
(-.f64 (pow.f64 (sin.f64 y) 2) 0)
(.f64 2 (.f64 (pow.f64 (sin.f64 y) 2) 1/2))
(*.f64 (pow.f64 (sin.f64 y) 2) 1)
(*.f64 1 (pow.f64 (sin.f64 y) 2))
(.f64 (.f64 2 (pow.f64 (sin.f64 y) 2)) 1/2)
(*.f64 4 (/.f64 (pow.f64 (sin.f64 y) 2) 4))
(.f64 4 (.f64 (pow.f64 (sin.f64 y) 2) 1/4))
(.f64 (.f64 (pow.f64 (sin.f64 y) 2) 4) 1/4)
(.f64 1/2 (.f64 2 (pow.f64 (sin.f64 y) 2)))
(.f64 (.f64 (pow.f64 (sin.f64 y) 2) 1/2) 2)
(*.f64 16 (pow.f64 (/.f64 (sin.f64 y) 4) 2))
(.f64 1/4 (.f64 (pow.f64 (sin.f64 y) 2) 4))
(*.f64 (/.f64 (pow.f64 (sin.f64 y) 2) 4) 4)
(.f64 (.f64 (pow.f64 (sin.f64 y) 2) 1/4) 4)
(.f64 (pow.f64 (.f64 (sin.f64 y) 4) 2) 1/16)
(*.f64 (pow.f64 (neg.f64 (sin.f64 y)) 2) 1)
(/.f64 (pow.f64 (sin.f64 y) 2) 1)
(/.f64 (*.f64 2 (pow.f64 (sin.f64 y) 2)) 2)
(/.f64 (*.f64 (pow.f64 (sin.f64 y) 2) 4) 4)
(/.f64 (.f64 2 (.f64 (pow.f64 (sin.f64 y) 2) 4)) 8)
(/.f64 (.f64 2 (.f64 2 (*.f64 (pow.f64 (sin.f64 y) 2) 4))) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 (sin.f64 y) 2) 4)))) 32)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 (sin.f64 y) 2) 4)))) (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 (sin.f64 y) 2) 4))))) 64)

Outputs
2
(+.f64 2 (.f64 -1/2 (.f64 (pow.f64 y 2) (-.f64 3 (sqrt.f64 5)))))
(+.f64 2 (.f64 (-.f64 3 (sqrt.f64 5)) (.f64 -1/2 (pow.f64 y 2))))
(+.f64 2 (+.f64 (.f64 1/24 (.f64 (pow.f64 y 4) (-.f64 3 (sqrt.f64 5)))) (.f64 -1/2 (.f64 (pow.f64 y 2) (-.f64 3 (sqrt.f64 5))))))
(+.f64 2 (+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) (-.f64 3 (sqrt.f64 5)))) (.f64 1/24 (.f64 (-.f64 3 (sqrt.f64 5)) (pow.f64 y 4)))))
(+.f64 2 (+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) (-.f64 3 (sqrt.f64 5)))) (.f64 (-.f64 3 (sqrt.f64 5)) (.f64 (pow.f64 y 4) 1/24))))
(+.f64 2 (+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) (-.f64 3 (sqrt.f64 5)))) (.f64 (-.f64 3 (sqrt.f64 5)) (.f64 1/24 (pow.f64 y 4)))))
(+.f64 2 (.f64 (-.f64 3 (sqrt.f64 5)) (+.f64 (.f64 -1/2 (pow.f64 y 2)) (*.f64 1/24 (pow.f64 y 4)))))
(+.f64 2 (.f64 (-.f64 3 (sqrt.f64 5)) (+.f64 (.f64 1/24 (pow.f64 y 4)) (*.f64 -1/2 (pow.f64 y 2)))))
(+.f64 (.f64 -1/720 (.f64 (pow.f64 y 6) (-.f64 3 (sqrt.f64 5)))) (+.f64 2 (+.f64 (.f64 1/24 (.f64 (pow.f64 y 4) (-.f64 3 (sqrt.f64 5)))) (.f64 -1/2 (.f64 (pow.f64 y 2) (-.f64 3 (sqrt.f64 5)))))))
(+.f64 2 (+.f64 (+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) (-.f64 3 (sqrt.f64 5)))) (.f64 1/24 (.f64 (-.f64 3 (sqrt.f64 5)) (pow.f64 y 4)))) (.f64 -1/720 (.f64 (-.f64 3 (sqrt.f64 5)) (pow.f64 y 6)))))
(+.f64 (+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) (-.f64 3 (sqrt.f64 5)))) (.f64 (-.f64 3 (sqrt.f64 5)) (.f64 (pow.f64 y 4) 1/24))) (+.f64 2 (.f64 (-.f64 3 (sqrt.f64 5)) (.f64 (pow.f64 y 6) -1/720))))
(+.f64 (+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) (-.f64 3 (sqrt.f64 5)))) (.f64 (-.f64 3 (sqrt.f64 5)) (.f64 1/24 (pow.f64 y 4)))) (+.f64 2 (.f64 (-.f64 3 (sqrt.f64 5)) (.f64 -1/720 (pow.f64 y 6)))))
(+.f64 (.f64 (-.f64 3 (sqrt.f64 5)) (+.f64 (.f64 -1/2 (pow.f64 y 2)) (.f64 1/24 (pow.f64 y 4)))) (+.f64 2 (.f64 (-.f64 3 (sqrt.f64 5)) (*.f64 -1/720 (pow.f64 y 6)))))
(+.f64 (.f64 (-.f64 3 (sqrt.f64 5)) (+.f64 (.f64 1/24 (pow.f64 y 4)) (.f64 -1/2 (pow.f64 y 2)))) (+.f64 2 (.f64 (-.f64 3 (sqrt.f64 5)) (*.f64 -1/720 (pow.f64 y 6)))))
(+.f64 2 (+.f64 (.f64 (-.f64 3 (sqrt.f64 5)) (+.f64 (.f64 1/24 (pow.f64 y 4)) (.f64 -1/2 (pow.f64 y 2)))) (.f64 (-.f64 3 (sqrt.f64 5)) (*.f64 -1/720 (pow.f64 y 6)))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) (-.f64 3 (sqrt.f64 5)))) (+.f64 2 (.f64 (-.f64 3 (sqrt.f64 5)) (+.f64 (.f64 -1/720 (pow.f64 y 6)) (*.f64 1/24 (pow.f64 y 4))))))
(-.f64 (+.f64 (sqrt.f64 5) (*.f64 (-.f64 3 (sqrt.f64 5)) (cos.f64 y))) 1)
(+.f64 (*.f64 (-.f64 3 (sqrt.f64 5)) (cos.f64 y)) (-.f64 (sqrt.f64 5) 1))
(+.f64 (sqrt.f64 5) (+.f64 (*.f64 (-.f64 3 (sqrt.f64 5)) (cos.f64 y)) -1))
(-.f64 (+.f64 (sqrt.f64 5) (*.f64 (-.f64 3 (sqrt.f64 5)) (cos.f64 y))) 1)
(+.f64 (*.f64 (-.f64 3 (sqrt.f64 5)) (cos.f64 y)) (-.f64 (sqrt.f64 5) 1))
(+.f64 (sqrt.f64 5) (+.f64 (*.f64 (-.f64 3 (sqrt.f64 5)) (cos.f64 y)) -1))
(-.f64 (+.f64 (sqrt.f64 5) (*.f64 (-.f64 3 (sqrt.f64 5)) (cos.f64 y))) 1)
(+.f64 (*.f64 (-.f64 3 (sqrt.f64 5)) (cos.f64 y)) (-.f64 (sqrt.f64 5) 1))
(+.f64 (sqrt.f64 5) (+.f64 (*.f64 (-.f64 3 (sqrt.f64 5)) (cos.f64 y)) -1))
(-.f64 (+.f64 (sqrt.f64 5) (*.f64 (-.f64 3 (sqrt.f64 5)) (cos.f64 y))) 1)
(+.f64 (*.f64 (-.f64 3 (sqrt.f64 5)) (cos.f64 y)) (-.f64 (sqrt.f64 5) 1))
(+.f64 (sqrt.f64 5) (+.f64 (*.f64 (-.f64 3 (sqrt.f64 5)) (cos.f64 y)) -1))
(-.f64 (+.f64 (sqrt.f64 5) (*.f64 (-.f64 3 (sqrt.f64 5)) (cos.f64 y))) 1)
(+.f64 (*.f64 (-.f64 3 (sqrt.f64 5)) (cos.f64 y)) (-.f64 (sqrt.f64 5) 1))
(+.f64 (sqrt.f64 5) (+.f64 (*.f64 (-.f64 3 (sqrt.f64 5)) (cos.f64 y)) -1))
(-.f64 (+.f64 (sqrt.f64 5) (*.f64 (-.f64 3 (sqrt.f64 5)) (cos.f64 y))) 1)
(+.f64 (*.f64 (-.f64 3 (sqrt.f64 5)) (cos.f64 y)) (-.f64 (sqrt.f64 5) 1))
(+.f64 (sqrt.f64 5) (+.f64 (*.f64 (-.f64 3 (sqrt.f64 5)) (cos.f64 y)) -1))
(-.f64 (+.f64 (sqrt.f64 5) (*.f64 (-.f64 3 (sqrt.f64 5)) (cos.f64 y))) 1)
(+.f64 (*.f64 (-.f64 3 (sqrt.f64 5)) (cos.f64 y)) (-.f64 (sqrt.f64 5) 1))
(+.f64 (sqrt.f64 5) (+.f64 (*.f64 (-.f64 3 (sqrt.f64 5)) (cos.f64 y)) -1))
(-.f64 (+.f64 (sqrt.f64 5) (*.f64 (-.f64 3 (sqrt.f64 5)) (cos.f64 y))) 1)
(+.f64 (*.f64 (-.f64 3 (sqrt.f64 5)) (cos.f64 y)) (-.f64 (sqrt.f64 5) 1))
(+.f64 (sqrt.f64 5) (+.f64 (*.f64 (-.f64 3 (sqrt.f64 5)) (cos.f64 y)) -1))
(pow.f64 y 2)
(+.f64 (*.f64 -1/3 (pow.f64 y 4)) (pow.f64 y 2))
(+.f64 (pow.f64 y 2) (*.f64 (pow.f64 y 4) -1/3))
(+.f64 (.f64 -1/3 (pow.f64 y 4)) (+.f64 (.f64 2/45 (pow.f64 y 6)) (pow.f64 y 2)))
(+.f64 (.f64 (pow.f64 y 4) -1/3) (+.f64 (pow.f64 y 2) (.f64 (pow.f64 y 6) 2/45)))
(+.f64 (pow.f64 y 2) (+.f64 (.f64 (pow.f64 y 6) 2/45) (.f64 (pow.f64 y 4) -1/3)))
(+.f64 (pow.f64 y 2) (+.f64 (.f64 (pow.f64 y 4) -1/3) (.f64 (pow.f64 y 6) 2/45)))
(+.f64 (.f64 -1/3 (pow.f64 y 4)) (+.f64 (.f64 2/45 (pow.f64 y 6)) (+.f64 (pow.f64 y 2) (*.f64 -1/315 (pow.f64 y 8)))))
(+.f64 (.f64 (pow.f64 y 4) -1/3) (+.f64 (pow.f64 y 2) (+.f64 (.f64 -1/315 (pow.f64 y 8)) (*.f64 (pow.f64 y 6) 2/45))))
(+.f64 (.f64 (pow.f64 y 4) -1/3) (+.f64 (.f64 -1/315 (pow.f64 y 8)) (+.f64 (pow.f64 y 2) (*.f64 (pow.f64 y 6) 2/45))))
(+.f64 (.f64 (pow.f64 y 4) -1/3) (+.f64 (.f64 (pow.f64 y 6) 2/45) (+.f64 (pow.f64 y 2) (*.f64 -1/315 (pow.f64 y 8)))))
(+.f64 (pow.f64 y 2) (+.f64 (.f64 (pow.f64 y 6) 2/45) (+.f64 (.f64 (pow.f64 y 4) -1/3) (*.f64 -1/315 (pow.f64 y 8)))))
(+.f64 (+.f64 (pow.f64 y 2) (.f64 (pow.f64 y 4) -1/3)) (+.f64 (.f64 (pow.f64 y 6) 2/45) (*.f64 -1/315 (pow.f64 y 8))))
(+.f64 (.f64 (pow.f64 y 4) -1/3) (+.f64 (pow.f64 y 2) (+.f64 (.f64 (pow.f64 y 6) 2/45) (*.f64 -1/315 (pow.f64 y 8)))))
(-.f64 (+.f64 (sqrt.f64 5) (+.f64 (*.f64 (cos.f64 y) (-.f64 3 (sqrt.f64 5))) -1)) 0)
(+.f64 (*.f64 (-.f64 3 (sqrt.f64 5)) (cos.f64 y)) (-.f64 (sqrt.f64 5) 1))
(+.f64 (sqrt.f64 5) (+.f64 (*.f64 (-.f64 3 (sqrt.f64 5)) (cos.f64 y)) -1))
(-.f64 (+.f64 (sqrt.f64 5) (*.f64 (cos.f64 y) (-.f64 3 (sqrt.f64 5)))) 1)
(+.f64 (*.f64 (-.f64 3 (sqrt.f64 5)) (cos.f64 y)) (-.f64 (sqrt.f64 5) 1))
(+.f64 (sqrt.f64 5) (+.f64 (*.f64 (-.f64 3 (sqrt.f64 5)) (cos.f64 y)) -1))
(.f64 (+.f64 (sqrt.f64 5) (+.f64 (.f64 (cos.f64 y) (-.f64 3 (sqrt.f64 5))) -1)) 1)
(+.f64 (*.f64 (-.f64 3 (sqrt.f64 5)) (cos.f64 y)) (-.f64 (sqrt.f64 5) 1))
(+.f64 (sqrt.f64 5) (+.f64 (*.f64 (-.f64 3 (sqrt.f64 5)) (cos.f64 y)) -1))
(.f64 2 (.f64 (+.f64 (sqrt.f64 5) (+.f64 (*.f64 (cos.f64 y) (-.f64 3 (sqrt.f64 5))) -1)) 1/2))
(+.f64 (*.f64 (-.f64 3 (sqrt.f64 5)) (cos.f64 y)) (-.f64 (sqrt.f64 5) 1))
(+.f64 (sqrt.f64 5) (+.f64 (*.f64 (-.f64 3 (sqrt.f64 5)) (cos.f64 y)) -1))
(.f64 1 (+.f64 (sqrt.f64 5) (+.f64 (.f64 (cos.f64 y) (-.f64 3 (sqrt.f64 5))) -1)))
(+.f64 (*.f64 (-.f64 3 (sqrt.f64 5)) (cos.f64 y)) (-.f64 (sqrt.f64 5) 1))
(+.f64 (sqrt.f64 5) (+.f64 (*.f64 (-.f64 3 (sqrt.f64 5)) (cos.f64 y)) -1))
(.f64 (.f64 (+.f64 (sqrt.f64 5) (+.f64 (*.f64 (cos.f64 y) (-.f64 3 (sqrt.f64 5))) -1)) 2) 1/2)
(+.f64 (*.f64 (-.f64 3 (sqrt.f64 5)) (cos.f64 y)) (-.f64 (sqrt.f64 5) 1))
(+.f64 (sqrt.f64 5) (+.f64 (*.f64 (-.f64 3 (sqrt.f64 5)) (cos.f64 y)) -1))
(.f64 4 (/.f64 (+.f64 (sqrt.f64 5) (+.f64 (.f64 (cos.f64 y) (-.f64 3 (sqrt.f64 5))) -1)) 4))
(+.f64 (*.f64 (-.f64 3 (sqrt.f64 5)) (cos.f64 y)) (-.f64 (sqrt.f64 5) 1))
(+.f64 (sqrt.f64 5) (+.f64 (*.f64 (-.f64 3 (sqrt.f64 5)) (cos.f64 y)) -1))
(.f64 (.f64 (+.f64 (sqrt.f64 5) (+.f64 (*.f64 (cos.f64 y) (-.f64 3 (sqrt.f64 5))) -1)) 4) 1/4)
(+.f64 (*.f64 (-.f64 3 (sqrt.f64 5)) (cos.f64 y)) (-.f64 (sqrt.f64 5) 1))
(+.f64 (sqrt.f64 5) (+.f64 (*.f64 (-.f64 3 (sqrt.f64 5)) (cos.f64 y)) -1))
(.f64 1/2 (.f64 (+.f64 (sqrt.f64 5) (+.f64 (*.f64 (cos.f64 y) (-.f64 3 (sqrt.f64 5))) -1)) 2))
(+.f64 (*.f64 (-.f64 3 (sqrt.f64 5)) (cos.f64 y)) (-.f64 (sqrt.f64 5) 1))
(+.f64 (sqrt.f64 5) (+.f64 (*.f64 (-.f64 3 (sqrt.f64 5)) (cos.f64 y)) -1))
(.f64 (.f64 (+.f64 (sqrt.f64 5) (+.f64 (*.f64 (cos.f64 y) (-.f64 3 (sqrt.f64 5))) -1)) 1/2) 2)
(+.f64 (*.f64 (-.f64 3 (sqrt.f64 5)) (cos.f64 y)) (-.f64 (sqrt.f64 5) 1))
(+.f64 (sqrt.f64 5) (+.f64 (*.f64 (-.f64 3 (sqrt.f64 5)) (cos.f64 y)) -1))
(.f64 1/4 (.f64 (+.f64 (sqrt.f64 5) (+.f64 (*.f64 (cos.f64 y) (-.f64 3 (sqrt.f64 5))) -1)) 4))
(+.f64 (*.f64 (-.f64 3 (sqrt.f64 5)) (cos.f64 y)) (-.f64 (sqrt.f64 5) 1))
(+.f64 (sqrt.f64 5) (+.f64 (*.f64 (-.f64 3 (sqrt.f64 5)) (cos.f64 y)) -1))
(.f64 (/.f64 (+.f64 (sqrt.f64 5) (+.f64 (.f64 (cos.f64 y) (-.f64 3 (sqrt.f64 5))) -1)) 4) 4)
(+.f64 (*.f64 (-.f64 3 (sqrt.f64 5)) (cos.f64 y)) (-.f64 (sqrt.f64 5) 1))
(+.f64 (sqrt.f64 5) (+.f64 (*.f64 (-.f64 3 (sqrt.f64 5)) (cos.f64 y)) -1))
(/.f64 (+.f64 (sqrt.f64 5) (+.f64 (*.f64 (cos.f64 y) (-.f64 3 (sqrt.f64 5))) -1)) 1)
(+.f64 (*.f64 (-.f64 3 (sqrt.f64 5)) (cos.f64 y)) (-.f64 (sqrt.f64 5) 1))
(+.f64 (sqrt.f64 5) (+.f64 (*.f64 (-.f64 3 (sqrt.f64 5)) (cos.f64 y)) -1))
(/.f64 (.f64 (+.f64 (sqrt.f64 5) (+.f64 (.f64 (cos.f64 y) (-.f64 3 (sqrt.f64 5))) -1)) 2) 2)
(+.f64 (*.f64 (-.f64 3 (sqrt.f64 5)) (cos.f64 y)) (-.f64 (sqrt.f64 5) 1))
(+.f64 (sqrt.f64 5) (+.f64 (*.f64 (-.f64 3 (sqrt.f64 5)) (cos.f64 y)) -1))
(/.f64 (.f64 (+.f64 (sqrt.f64 5) (+.f64 (.f64 (cos.f64 y) (-.f64 3 (sqrt.f64 5))) -1)) 4) 4)
(+.f64 (*.f64 (-.f64 3 (sqrt.f64 5)) (cos.f64 y)) (-.f64 (sqrt.f64 5) 1))
(+.f64 (sqrt.f64 5) (+.f64 (*.f64 (-.f64 3 (sqrt.f64 5)) (cos.f64 y)) -1))
(/.f64 (.f64 2 (.f64 (+.f64 (sqrt.f64 5) (+.f64 (*.f64 (cos.f64 y) (-.f64 3 (sqrt.f64 5))) -1)) 4)) 8)
(+.f64 (*.f64 (-.f64 3 (sqrt.f64 5)) (cos.f64 y)) (-.f64 (sqrt.f64 5) 1))
(+.f64 (sqrt.f64 5) (+.f64 (*.f64 (-.f64 3 (sqrt.f64 5)) (cos.f64 y)) -1))
(/.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (sqrt.f64 5) (+.f64 (.f64 (cos.f64 y) (-.f64 3 (sqrt.f64 5))) -1)) 4))) 16)
(+.f64 (*.f64 (-.f64 3 (sqrt.f64 5)) (cos.f64 y)) (-.f64 (sqrt.f64 5) 1))
(+.f64 (sqrt.f64 5) (+.f64 (*.f64 (-.f64 3 (sqrt.f64 5)) (cos.f64 y)) -1))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (sqrt.f64 5) (+.f64 (*.f64 (cos.f64 y) (-.f64 3 (sqrt.f64 5))) -1)) 4)))) 32)
(+.f64 (*.f64 (-.f64 3 (sqrt.f64 5)) (cos.f64 y)) (-.f64 (sqrt.f64 5) 1))
(+.f64 (sqrt.f64 5) (+.f64 (*.f64 (-.f64 3 (sqrt.f64 5)) (cos.f64 y)) -1))
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (sqrt.f64 5) (+.f64 (.f64 (cos.f64 y) (-.f64 3 (sqrt.f64 5))) -1)) 4)))) (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (sqrt.f64 5) (+.f64 (.f64 (cos.f64 y) (-.f64 3 (sqrt.f64 5))) -1)) 4))))) 64)
(+.f64 (*.f64 (-.f64 3 (sqrt.f64 5)) (cos.f64 y)) (-.f64 (sqrt.f64 5) 1))
(+.f64 (sqrt.f64 5) (+.f64 (*.f64 (-.f64 3 (sqrt.f64 5)) (cos.f64 y)) -1))
(pow.f64 (+.f64 (sqrt.f64 5) (+.f64 (*.f64 (cos.f64 y) (-.f64 3 (sqrt.f64 5))) -1)) 1)
(+.f64 (*.f64 (-.f64 3 (sqrt.f64 5)) (cos.f64 y)) (-.f64 (sqrt.f64 5) 1))
(+.f64 (sqrt.f64 5) (+.f64 (*.f64 (-.f64 3 (sqrt.f64 5)) (cos.f64 y)) -1))
(+.f64 (pow.f64 (sin.f64 y) 2) 0)
(pow.f64 (sin.f64 y) 2)
(+.f64 0 (pow.f64 (sin.f64 y) 2))
(pow.f64 (sin.f64 y) 2)
(+.f64 (.f64 (pow.f64 (sin.f64 y) 2) 1/2) (.f64 (pow.f64 (sin.f64 y) 2) 1/2))
(pow.f64 (sin.f64 y) 2)
(-.f64 (pow.f64 (sin.f64 y) 2) 0)
(pow.f64 (sin.f64 y) 2)
(.f64 2 (.f64 (pow.f64 (sin.f64 y) 2) 1/2))
(pow.f64 (sin.f64 y) 2)
(*.f64 (pow.f64 (sin.f64 y) 2) 1)
(pow.f64 (sin.f64 y) 2)
(*.f64 1 (pow.f64 (sin.f64 y) 2))
(pow.f64 (sin.f64 y) 2)
(.f64 (.f64 2 (pow.f64 (sin.f64 y) 2)) 1/2)
(pow.f64 (sin.f64 y) 2)
(*.f64 4 (/.f64 (pow.f64 (sin.f64 y) 2) 4))
(pow.f64 (sin.f64 y) 2)
(.f64 4 (.f64 (pow.f64 (sin.f64 y) 2) 1/4))
(pow.f64 (sin.f64 y) 2)
(.f64 (.f64 (pow.f64 (sin.f64 y) 2) 4) 1/4)
(pow.f64 (sin.f64 y) 2)
(.f64 1/2 (.f64 2 (pow.f64 (sin.f64 y) 2)))
(pow.f64 (sin.f64 y) 2)
(.f64 (.f64 (pow.f64 (sin.f64 y) 2) 1/2) 2)
(pow.f64 (sin.f64 y) 2)
(*.f64 16 (pow.f64 (/.f64 (sin.f64 y) 4) 2))
(.f64 1/4 (.f64 (pow.f64 (sin.f64 y) 2) 4))
(pow.f64 (sin.f64 y) 2)
(*.f64 (/.f64 (pow.f64 (sin.f64 y) 2) 4) 4)
(pow.f64 (sin.f64 y) 2)
(.f64 (.f64 (pow.f64 (sin.f64 y) 2) 1/4) 4)
(pow.f64 (sin.f64 y) 2)
(.f64 (pow.f64 (.f64 (sin.f64 y) 4) 2) 1/16)
(pow.f64 (sin.f64 y) 2)
(*.f64 (pow.f64 (neg.f64 (sin.f64 y)) 2) 1)
(pow.f64 (sin.f64 y) 2)
(/.f64 (pow.f64 (sin.f64 y) 2) 1)
(pow.f64 (sin.f64 y) 2)
(/.f64 (*.f64 2 (pow.f64 (sin.f64 y) 2)) 2)
(pow.f64 (sin.f64 y) 2)
(/.f64 (*.f64 (pow.f64 (sin.f64 y) 2) 4) 4)
(pow.f64 (sin.f64 y) 2)
(/.f64 (.f64 2 (.f64 (pow.f64 (sin.f64 y) 2) 4)) 8)
(pow.f64 (sin.f64 y) 2)
(/.f64 (.f64 2 (.f64 2 (*.f64 (pow.f64 (sin.f64 y) 2) 4))) 16)
(pow.f64 (sin.f64 y) 2)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 (sin.f64 y) 2) 4)))) 32)
(pow.f64 (sin.f64 y) 2)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 (sin.f64 y) 2) 4)))) (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 (sin.f64 y) 2) 4))))) 64)
(pow.f64 (sin.f64 y) 2)

localize81.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.3b	(*.f64 (cos.f64 x) (/.f64 (+.f64 (sqrt.f64 5) -1) 2))
	0.6b	(+.f64 (.f64 (cos.f64 x) (/.f64 (+.f64 (sqrt.f64 5) -1) 2)) (.f64 (cos.f64 y) (/.f64 (-.f64 3 (sqrt.f64 5)) 2)))
	1.0b	(-.f64 3 (sqrt.f64 5))
✓	2.3b	(+.f64 (cos.f64 x) -1)

Compiler

Compiled 212 to 167 computations (21.2% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite122.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1750×	`rational.json-simplify-35`
1418×	`rational.json-1`
1418×	`rational.json-2`
1418×	`rational.json-4`
1418×	`rational.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	51	11
2	121	11
3	242	11
4	488	11
5	1087	11
6	2702	11
7	4552	11
8	5505	11
9	7243	11

Stop Event

1×	node limit

Counts

1 → 24

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (cos.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (cos.f64 x) -1) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (cos.f64 x) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (cos.f64 x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (+.f64 (cos.f64 x) -1) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 (cos.f64 x) 2) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (*.f64 (+.f64 (cos.f64 x) -1) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (cos.f64 x) -1) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (+.f64 (*.f64 (cos.f64 x) 2) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (cos.f64 x) -1) 8) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (cos.f64 x) -1) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (+.f64 (cos.f64 x) -1) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (cos.f64 x) -1) 1/4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/8 (*.f64 (+.f64 (cos.f64 x) -1) 8))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (cos.f64 x) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (cos.f64 x) 2) -2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (cos.f64 x) -1) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (cos.f64 x) -1) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (+.f64 (cos.f64 x) -1) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (cos.f64 x) -1) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (cos.f64 x) -1) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (cos.f64 x) -1) 8))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (cos.f64 x) -1) 8))))) (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (cos.f64 x) -1) 8)))))) 256)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (cos.f64 x) -1) 1)))))

simplify317.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1892×	`rational.json-simplify-38`
1790×	`rational.json-simplify-35`
1612×	`rational.json-simplify-1`
1050×	`rational.json-simplify-41`
946×	`rational.json-simplify-48`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	75	548
1	152	548
2	412	548
3	1193	548
4	1979	548
5	3051	548
6	3197	548
7	3400	548
8	3597	548
9	3845	548
10	4097	548
11	4917	548
12	5455	548
13	5746	548
14	5996	548
15	6160	548
16	6332	548
17	6505	548
18	7104	548

Stop Event

1×	node limit

Counts

36 → 38

Calls

Call 1

Inputs
(*.f64 -1/2 (pow.f64 x 2))
(+.f64 (.f64 1/24 (pow.f64 x 4)) (.f64 -1/2 (pow.f64 x 2)))
(+.f64 (.f64 1/24 (pow.f64 x 4)) (+.f64 (.f64 -1/2 (pow.f64 x 2)) (*.f64 -1/720 (pow.f64 x 6))))
(+.f64 (.f64 1/24 (pow.f64 x 4)) (+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/720 (pow.f64 x 6)) (.f64 1/40320 (pow.f64 x 8)))))
(-.f64 (cos.f64 x) 1)
(-.f64 (cos.f64 x) 1)
(-.f64 (cos.f64 x) 1)
(-.f64 (cos.f64 x) 1)
(-.f64 (cos.f64 x) 1)
(-.f64 (cos.f64 x) 1)
(-.f64 (cos.f64 x) 1)
(-.f64 (cos.f64 x) 1)
(-.f64 (cos.f64 x) 1)
(-.f64 (+.f64 (cos.f64 x) -1) 0)
(*.f64 (+.f64 (cos.f64 x) -1) 1)
(*.f64 1 (+.f64 (cos.f64 x) -1))
(.f64 2 (.f64 (+.f64 (cos.f64 x) -1) 1/2))
(.f64 (+.f64 (.f64 (cos.f64 x) 2) -2) 1/2)
(.f64 4 (.f64 (+.f64 (cos.f64 x) -1) 1/4))
(.f64 (.f64 (+.f64 (cos.f64 x) -1) 4) 1/4)
(.f64 1/2 (+.f64 (.f64 (cos.f64 x) 2) -2))
(.f64 (.f64 (+.f64 (cos.f64 x) -1) 8) 1/8)
(.f64 (.f64 (+.f64 (cos.f64 x) -1) 1/2) 2)
(.f64 1/4 (.f64 (+.f64 (cos.f64 x) -1) 4))
(.f64 (.f64 (+.f64 (cos.f64 x) -1) 1/4) 4)
(.f64 1/8 (.f64 (+.f64 (cos.f64 x) -1) 8))
(/.f64 (+.f64 (cos.f64 x) -1) 1)
(/.f64 (+.f64 (*.f64 (cos.f64 x) 2) -2) 2)
(/.f64 (*.f64 (+.f64 (cos.f64 x) -1) 4) 4)
(/.f64 (*.f64 (+.f64 (cos.f64 x) -1) 8) 8)
(/.f64 (.f64 2 (.f64 (+.f64 (cos.f64 x) -1) 8)) 16)
(/.f64 (.f64 2 (.f64 2 (*.f64 (+.f64 (cos.f64 x) -1) 8))) 32)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (cos.f64 x) -1) 8)))) 64)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (*.f64 (+.f64 (cos.f64 x) -1) 8))))) 128)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (cos.f64 x) -1) 8))))) (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (cos.f64 x) -1) 8)))))) 256)
(pow.f64 (+.f64 (cos.f64 x) -1) 1)

Outputs
(*.f64 -1/2 (pow.f64 x 2))
(+.f64 (.f64 1/24 (pow.f64 x 4)) (.f64 -1/2 (pow.f64 x 2)))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 1/24 (pow.f64 x 4)))
(+.f64 (.f64 1/24 (pow.f64 x 4)) (+.f64 (.f64 -1/2 (pow.f64 x 2)) (*.f64 -1/720 (pow.f64 x 6))))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 1/24 (pow.f64 x 4)) (*.f64 -1/720 (pow.f64 x 6))))
(+.f64 (.f64 1/24 (pow.f64 x 4)) (+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/720 (pow.f64 x 6)) (.f64 1/40320 (pow.f64 x 8)))))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (+.f64 (.f64 -1/720 (pow.f64 x 6)) (.f64 1/40320 (pow.f64 x 8))) (.f64 1/24 (pow.f64 x 4))))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 1/24 (pow.f64 x 4)) (+.f64 (.f64 -1/720 (pow.f64 x 6)) (.f64 1/40320 (pow.f64 x 8)))))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/720 (pow.f64 x 6)) (+.f64 (.f64 1/24 (pow.f64 x 4)) (.f64 1/40320 (pow.f64 x 8)))))
(+.f64 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 1/40320 (pow.f64 x 8))) (+.f64 (.f64 1/24 (pow.f64 x 4)) (.f64 -1/720 (pow.f64 x 6))))
(-.f64 (cos.f64 x) 1)
(+.f64 (cos.f64 x) -1)
(-.f64 (cos.f64 x) 1)
(+.f64 (cos.f64 x) -1)
(-.f64 (cos.f64 x) 1)
(+.f64 (cos.f64 x) -1)
(-.f64 (cos.f64 x) 1)
(+.f64 (cos.f64 x) -1)
(-.f64 (cos.f64 x) 1)
(+.f64 (cos.f64 x) -1)
(-.f64 (cos.f64 x) 1)
(+.f64 (cos.f64 x) -1)
(-.f64 (cos.f64 x) 1)
(+.f64 (cos.f64 x) -1)
(-.f64 (cos.f64 x) 1)
(+.f64 (cos.f64 x) -1)
(-.f64 (cos.f64 x) 1)
(+.f64 (cos.f64 x) -1)
(-.f64 (+.f64 (cos.f64 x) -1) 0)
(+.f64 (cos.f64 x) -1)
(*.f64 (+.f64 (cos.f64 x) -1) 1)
(+.f64 (cos.f64 x) -1)
(*.f64 1 (+.f64 (cos.f64 x) -1))
(+.f64 (cos.f64 x) -1)
(.f64 2 (.f64 (+.f64 (cos.f64 x) -1) 1/2))
(+.f64 (cos.f64 x) -1)
(.f64 (+.f64 (.f64 (cos.f64 x) 2) -2) 1/2)
(.f64 1/2 (+.f64 (.f64 2 (cos.f64 x)) -2))
(.f64 4 (.f64 (+.f64 (cos.f64 x) -1) 1/4))
(+.f64 (cos.f64 x) -1)
(.f64 (.f64 (+.f64 (cos.f64 x) -1) 4) 1/4)
(+.f64 (cos.f64 x) -1)
(.f64 1/2 (+.f64 (.f64 (cos.f64 x) 2) -2))
(.f64 1/2 (+.f64 (.f64 2 (cos.f64 x)) -2))
(.f64 (.f64 (+.f64 (cos.f64 x) -1) 8) 1/8)
(+.f64 (cos.f64 x) -1)
(.f64 (.f64 (+.f64 (cos.f64 x) -1) 1/2) 2)
(+.f64 (cos.f64 x) -1)
(.f64 1/4 (.f64 (+.f64 (cos.f64 x) -1) 4))
(+.f64 (cos.f64 x) -1)
(.f64 (.f64 (+.f64 (cos.f64 x) -1) 1/4) 4)
(+.f64 (cos.f64 x) -1)
(.f64 1/8 (.f64 (+.f64 (cos.f64 x) -1) 8))
(+.f64 (cos.f64 x) -1)
(/.f64 (+.f64 (cos.f64 x) -1) 1)
(+.f64 (cos.f64 x) -1)
(/.f64 (+.f64 (*.f64 (cos.f64 x) 2) -2) 2)
(/.f64 (+.f64 (*.f64 2 (cos.f64 x)) -2) 2)
(/.f64 (+.f64 (*.f64 4 (cos.f64 x)) -4) 4)
(/.f64 (*.f64 (+.f64 (cos.f64 x) -1) 4) 4)
(+.f64 (cos.f64 x) -1)
(/.f64 (*.f64 (+.f64 (cos.f64 x) -1) 8) 8)
(+.f64 (cos.f64 x) -1)
(/.f64 (.f64 2 (.f64 (+.f64 (cos.f64 x) -1) 8)) 16)
(+.f64 (cos.f64 x) -1)
(/.f64 (.f64 2 (.f64 2 (*.f64 (+.f64 (cos.f64 x) -1) 8))) 32)
(+.f64 (cos.f64 x) -1)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (cos.f64 x) -1) 8)))) 64)
(+.f64 (cos.f64 x) -1)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (*.f64 (+.f64 (cos.f64 x) -1) 8))))) 128)
(+.f64 (cos.f64 x) -1)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (cos.f64 x) -1) 8))))) (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (cos.f64 x) -1) 8)))))) 256)
(+.f64 (cos.f64 x) -1)
(pow.f64 (+.f64 (cos.f64 x) -1) 1)
(+.f64 (cos.f64 x) -1)

localize83.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(*.f64 (sqrt.f64 2) (-.f64 (cos.f64 x) (cos.f64 y)))
	0.4b	(+.f64 (*.f64 (cos.f64 y) (-.f64 3 (sqrt.f64 5))) (+.f64 (sqrt.f64 5) -1))
	1.0b	(-.f64 3 (sqrt.f64 5))
	2.3b	(-.f64 (cos.f64 x) (cos.f64 y))

Compiler

Compiled 254 to 156 computations (38.6% saved)

series2.0ms (0%)

Counts

1 → 8

Calls

6 calls:

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

rewrite92.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1442×	`rational.json-1`
1442×	`rational.json-2`
1442×	`rational.json-3`
1438×	`exponential.json-3`
1438×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	25
1	73	25
2	162	25
3	353	25
4	724	25
5	1720	25
6	3875	25
7	6381	25

Stop Event

1×	node limit

Counts

1 → 12

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 2) (-.f64 (cos.f64 x) (cos.f64 y))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (sqrt.f64 2) (-.f64 (cos.f64 x) (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 2) (/.f64 (-.f64 (cos.f64 y) (cos.f64 x)) -2)) (*.f64 (sqrt.f64 2) (/.f64 (-.f64 (cos.f64 y) (cos.f64 x)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sqrt.f64 2) (-.f64 (cos.f64 x) (cos.f64 y))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 2) (-.f64 (cos.f64 x) (cos.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 2) (*.f64 (-.f64 (cos.f64 y) (cos.f64 x)) -2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (*.f64 (sqrt.f64 2) 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (sqrt.f64 2) (-.f64 (cos.f64 x) (cos.f64 y))) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (*.f64 (sqrt.f64 2) (-.f64 (cos.f64 x) (cos.f64 y))) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (*.f64 (sqrt.f64 2) (-.f64 (cos.f64 x) (cos.f64 y))) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (*.f64 (sqrt.f64 2) (-.f64 (cos.f64 x) (cos.f64 y))) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 2) (-.f64 (cos.f64 x) (cos.f64 y))) 1)))))

simplify291.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

2278×	`rational.json-simplify-35`
1838×	`rational.json-simplify-2`
1136×	`exponential.json-simplify-26`
870×	`rational.json-simplify-53`
864×	`rational.json-simplify-1`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	79	846
1	190	760
2	385	716
3	727	696
4	2269	696
5	3895	696
6	4668	696
7	5015	696
8	5403	696
9	5546	696
10	6347	696
11	7330	696
12	7767	696
13	7955	696

Stop Event

1×	node limit

Counts

20 → 47

Calls

Call 1

Inputs
(*.f64 (sqrt.f64 2) (-.f64 1 (cos.f64 y)))
(+.f64 (.f64 -1/2 (.f64 (sqrt.f64 2) (pow.f64 x 2))) (*.f64 (sqrt.f64 2) (-.f64 1 (cos.f64 y))))
(+.f64 (.f64 1/24 (.f64 (sqrt.f64 2) (pow.f64 x 4))) (+.f64 (.f64 -1/2 (.f64 (sqrt.f64 2) (pow.f64 x 2))) (*.f64 (sqrt.f64 2) (-.f64 1 (cos.f64 y)))))
(+.f64 (.f64 -1/720 (.f64 (sqrt.f64 2) (pow.f64 x 6))) (+.f64 (.f64 1/24 (.f64 (sqrt.f64 2) (pow.f64 x 4))) (+.f64 (.f64 -1/2 (.f64 (sqrt.f64 2) (pow.f64 x 2))) (*.f64 (sqrt.f64 2) (-.f64 1 (cos.f64 y))))))
(*.f64 (sqrt.f64 2) (-.f64 (cos.f64 x) 1))
(+.f64 (.f64 (sqrt.f64 2) (-.f64 (cos.f64 x) 1)) (.f64 1/2 (*.f64 (sqrt.f64 2) (pow.f64 y 2))))
(+.f64 (.f64 -1/24 (.f64 (sqrt.f64 2) (pow.f64 y 4))) (+.f64 (.f64 (sqrt.f64 2) (-.f64 (cos.f64 x) 1)) (.f64 1/2 (*.f64 (sqrt.f64 2) (pow.f64 y 2)))))
(+.f64 (.f64 -1/24 (.f64 (sqrt.f64 2) (pow.f64 y 4))) (+.f64 (.f64 (sqrt.f64 2) (-.f64 (cos.f64 x) 1)) (+.f64 (.f64 1/720 (.f64 (sqrt.f64 2) (pow.f64 y 6))) (.f64 1/2 (*.f64 (sqrt.f64 2) (pow.f64 y 2))))))
(+.f64 (*.f64 (sqrt.f64 2) (-.f64 (cos.f64 x) (cos.f64 y))) 0)
(+.f64 0 (*.f64 (sqrt.f64 2) (-.f64 (cos.f64 x) (cos.f64 y))))
(+.f64 (.f64 (sqrt.f64 2) (/.f64 (-.f64 (cos.f64 y) (cos.f64 x)) -2)) (.f64 (sqrt.f64 2) (/.f64 (-.f64 (cos.f64 y) (cos.f64 x)) -2)))
(-.f64 (*.f64 (sqrt.f64 2) (-.f64 (cos.f64 x) (cos.f64 y))) 0)
(/.f64 (*.f64 (sqrt.f64 2) (-.f64 (cos.f64 x) (cos.f64 y))) 1)
(/.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 y) (cos.f64 x)) -2)) 2)
(/.f64 (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (sqrt.f64 2) 4)) 4)
(/.f64 (.f64 (.f64 (sqrt.f64 2) (-.f64 (cos.f64 x) (cos.f64 y))) 8) 8)
(/.f64 (.f64 2 (.f64 (*.f64 (sqrt.f64 2) (-.f64 (cos.f64 x) (cos.f64 y))) 8)) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 (.f64 (sqrt.f64 2) (-.f64 (cos.f64 x) (cos.f64 y))) 8))) 32)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (*.f64 (sqrt.f64 2) (-.f64 (cos.f64 x) (cos.f64 y))) 8)))) 64)
(pow.f64 (*.f64 (sqrt.f64 2) (-.f64 (cos.f64 x) (cos.f64 y))) 1)

Outputs
(*.f64 (sqrt.f64 2) (-.f64 1 (cos.f64 y)))
(+.f64 (.f64 -1/2 (.f64 (sqrt.f64 2) (pow.f64 x 2))) (*.f64 (sqrt.f64 2) (-.f64 1 (cos.f64 y))))
(+.f64 (.f64 (sqrt.f64 2) (-.f64 1 (cos.f64 y))) (.f64 (sqrt.f64 2) (*.f64 (pow.f64 x 2) -1/2)))
(.f64 (sqrt.f64 2) (+.f64 (-.f64 1 (cos.f64 y)) (.f64 -1/2 (pow.f64 x 2))))
(+.f64 (.f64 1/24 (.f64 (sqrt.f64 2) (pow.f64 x 4))) (+.f64 (.f64 -1/2 (.f64 (sqrt.f64 2) (pow.f64 x 2))) (*.f64 (sqrt.f64 2) (-.f64 1 (cos.f64 y)))))
(+.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 x 2) -1/2)) (+.f64 (.f64 (sqrt.f64 2) (-.f64 1 (cos.f64 y))) (.f64 (sqrt.f64 2) (*.f64 (pow.f64 x 4) 1/24))))
(+.f64 (.f64 (sqrt.f64 2) (+.f64 (-.f64 1 (cos.f64 y)) (.f64 -1/2 (pow.f64 x 2)))) (.f64 (sqrt.f64 2) (.f64 1/24 (pow.f64 x 4))))
(.f64 (sqrt.f64 2) (+.f64 (.f64 1/24 (pow.f64 x 4)) (+.f64 (-.f64 1 (cos.f64 y)) (*.f64 -1/2 (pow.f64 x 2)))))
(.f64 (sqrt.f64 2) (+.f64 (-.f64 1 (cos.f64 y)) (+.f64 (.f64 1/24 (pow.f64 x 4)) (*.f64 -1/2 (pow.f64 x 2)))))
(+.f64 (.f64 -1/720 (.f64 (sqrt.f64 2) (pow.f64 x 6))) (+.f64 (.f64 1/24 (.f64 (sqrt.f64 2) (pow.f64 x 4))) (+.f64 (.f64 -1/2 (.f64 (sqrt.f64 2) (pow.f64 x 2))) (*.f64 (sqrt.f64 2) (-.f64 1 (cos.f64 y))))))
(+.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 x 4) 1/24)) (+.f64 (+.f64 (.f64 (sqrt.f64 2) (-.f64 1 (cos.f64 y))) (.f64 (sqrt.f64 2) (.f64 (pow.f64 x 2) -1/2))) (.f64 (sqrt.f64 2) (*.f64 (pow.f64 x 6) -1/720))))
(+.f64 (.f64 (sqrt.f64 2) (+.f64 (-.f64 1 (cos.f64 y)) (.f64 -1/2 (pow.f64 x 2)))) (+.f64 (.f64 (sqrt.f64 2) (.f64 -1/720 (pow.f64 x 6))) (.f64 (sqrt.f64 2) (.f64 1/24 (pow.f64 x 4)))))
(+.f64 (.f64 (sqrt.f64 2) (+.f64 (-.f64 1 (cos.f64 y)) (.f64 -1/2 (pow.f64 x 2)))) (.f64 (sqrt.f64 2) (+.f64 (.f64 -1/720 (pow.f64 x 6)) (*.f64 1/24 (pow.f64 x 4)))))
(.f64 (sqrt.f64 2) (+.f64 (.f64 -1/720 (pow.f64 x 6)) (+.f64 (-.f64 1 (cos.f64 y)) (+.f64 (.f64 1/24 (pow.f64 x 4)) (.f64 -1/2 (pow.f64 x 2))))))
(.f64 (sqrt.f64 2) (+.f64 (-.f64 1 (cos.f64 y)) (+.f64 (.f64 1/24 (pow.f64 x 4)) (+.f64 (.f64 -1/720 (pow.f64 x 6)) (.f64 -1/2 (pow.f64 x 2))))))
(*.f64 (sqrt.f64 2) (-.f64 (cos.f64 x) 1))
(*.f64 (sqrt.f64 2) (+.f64 (cos.f64 x) -1))
(+.f64 (.f64 (sqrt.f64 2) (-.f64 (cos.f64 x) 1)) (.f64 1/2 (*.f64 (sqrt.f64 2) (pow.f64 y 2))))
(+.f64 (.f64 (sqrt.f64 2) (+.f64 (cos.f64 x) -1)) (.f64 (sqrt.f64 2) (*.f64 (pow.f64 y 2) 1/2)))
(.f64 (sqrt.f64 2) (+.f64 (+.f64 (cos.f64 x) -1) (.f64 1/2 (pow.f64 y 2))))
(+.f64 (.f64 -1/24 (.f64 (sqrt.f64 2) (pow.f64 y 4))) (+.f64 (.f64 (sqrt.f64 2) (-.f64 (cos.f64 x) 1)) (.f64 1/2 (*.f64 (sqrt.f64 2) (pow.f64 y 2)))))
(+.f64 (.f64 (sqrt.f64 2) (+.f64 (cos.f64 x) -1)) (+.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 y 2) 1/2)) (.f64 (sqrt.f64 2) (*.f64 (pow.f64 y 4) -1/24))))
(+.f64 (.f64 (sqrt.f64 2) (+.f64 (+.f64 (cos.f64 x) -1) (.f64 1/2 (pow.f64 y 2)))) (.f64 (sqrt.f64 2) (.f64 -1/24 (pow.f64 y 4))))
(.f64 (sqrt.f64 2) (+.f64 (.f64 -1/24 (pow.f64 y 4)) (+.f64 (+.f64 (cos.f64 x) -1) (*.f64 1/2 (pow.f64 y 2)))))
(.f64 (sqrt.f64 2) (+.f64 (.f64 1/2 (pow.f64 y 2)) (+.f64 (+.f64 (cos.f64 x) -1) (*.f64 -1/24 (pow.f64 y 4)))))
(+.f64 (.f64 -1/24 (.f64 (sqrt.f64 2) (pow.f64 y 4))) (+.f64 (.f64 (sqrt.f64 2) (-.f64 (cos.f64 x) 1)) (+.f64 (.f64 1/720 (.f64 (sqrt.f64 2) (pow.f64 y 6))) (.f64 1/2 (*.f64 (sqrt.f64 2) (pow.f64 y 2))))))
(+.f64 (.f64 (sqrt.f64 2) (+.f64 (cos.f64 x) -1)) (+.f64 (+.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 y 2) 1/2)) (.f64 (sqrt.f64 2) (.f64 (pow.f64 y 6) 1/720))) (.f64 (sqrt.f64 2) (*.f64 (pow.f64 y 4) -1/24))))
(+.f64 (.f64 (sqrt.f64 2) (.f64 -1/24 (pow.f64 y 4))) (+.f64 (.f64 (sqrt.f64 2) (+.f64 (+.f64 (cos.f64 x) -1) (.f64 1/2 (pow.f64 y 2)))) (.f64 (sqrt.f64 2) (.f64 1/720 (pow.f64 y 6)))))
(+.f64 (.f64 -1/24 (.f64 (sqrt.f64 2) (pow.f64 y 4))) (.f64 (sqrt.f64 2) (+.f64 (.f64 1/720 (pow.f64 y 6)) (+.f64 (+.f64 (cos.f64 x) -1) (*.f64 1/2 (pow.f64 y 2))))))
(.f64 (sqrt.f64 2) (+.f64 (.f64 1/720 (pow.f64 y 6)) (+.f64 (.f64 1/2 (pow.f64 y 2)) (+.f64 (+.f64 (cos.f64 x) -1) (.f64 -1/24 (pow.f64 y 4))))))
(.f64 (sqrt.f64 2) (+.f64 (+.f64 (cos.f64 x) -1) (+.f64 (.f64 1/2 (pow.f64 y 2)) (+.f64 (.f64 -1/24 (pow.f64 y 4)) (.f64 1/720 (pow.f64 y 6))))))
(+.f64 (*.f64 (sqrt.f64 2) (-.f64 (cos.f64 x) (cos.f64 y))) 0)
(*.f64 (sqrt.f64 2) (-.f64 (cos.f64 x) (cos.f64 y)))
(+.f64 0 (*.f64 (sqrt.f64 2) (-.f64 (cos.f64 x) (cos.f64 y))))
(*.f64 (sqrt.f64 2) (-.f64 (cos.f64 x) (cos.f64 y)))
(+.f64 (.f64 (sqrt.f64 2) (/.f64 (-.f64 (cos.f64 y) (cos.f64 x)) -2)) (.f64 (sqrt.f64 2) (/.f64 (-.f64 (cos.f64 y) (cos.f64 x)) -2)))
(*.f64 (/.f64 (-.f64 (cos.f64 y) (cos.f64 x)) -2) (+.f64 (sqrt.f64 2) (sqrt.f64 2)))
(.f64 (/.f64 (-.f64 (cos.f64 y) (cos.f64 x)) -2) (.f64 2 (sqrt.f64 2)))
(.f64 2 (.f64 (sqrt.f64 2) (/.f64 (-.f64 (cos.f64 y) (cos.f64 x)) -2)))
(-.f64 (*.f64 (sqrt.f64 2) (-.f64 (cos.f64 x) (cos.f64 y))) 0)
(*.f64 (sqrt.f64 2) (-.f64 (cos.f64 x) (cos.f64 y)))
(/.f64 (*.f64 (sqrt.f64 2) (-.f64 (cos.f64 x) (cos.f64 y))) 1)
(*.f64 (sqrt.f64 2) (-.f64 (cos.f64 x) (cos.f64 y)))
(/.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 y) (cos.f64 x)) -2)) 2)
(*.f64 (sqrt.f64 2) (-.f64 (cos.f64 x) (cos.f64 y)))
(/.f64 (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (sqrt.f64 2) 4)) 4)
(*.f64 (sqrt.f64 2) (-.f64 (cos.f64 x) (cos.f64 y)))
(/.f64 (.f64 (.f64 (sqrt.f64 2) (-.f64 (cos.f64 x) (cos.f64 y))) 8) 8)
(*.f64 (sqrt.f64 2) (-.f64 (cos.f64 x) (cos.f64 y)))
(/.f64 (.f64 2 (.f64 (*.f64 (sqrt.f64 2) (-.f64 (cos.f64 x) (cos.f64 y))) 8)) 16)
(*.f64 (sqrt.f64 2) (-.f64 (cos.f64 x) (cos.f64 y)))
(/.f64 (.f64 2 (.f64 2 (.f64 (.f64 (sqrt.f64 2) (-.f64 (cos.f64 x) (cos.f64 y))) 8))) 32)
(*.f64 (sqrt.f64 2) (-.f64 (cos.f64 x) (cos.f64 y)))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (*.f64 (sqrt.f64 2) (-.f64 (cos.f64 x) (cos.f64 y))) 8)))) 64)
(*.f64 (sqrt.f64 2) (-.f64 (cos.f64 x) (cos.f64 y)))
(pow.f64 (*.f64 (sqrt.f64 2) (-.f64 (cos.f64 x) (cos.f64 y))) 1)
(*.f64 (sqrt.f64 2) (-.f64 (cos.f64 x) (cos.f64 y)))

localize93.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.4b	(.f64 (sqrt.f64 2) (.f64 (*.f64 (-.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))))
✓	0.6b	(+.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) (.f64 (cos.f64 y) (-.f64 3 (sqrt.f64 5))))
	1.0b	(-.f64 3 (sqrt.f64 5))
	2.3b	(-.f64 (cos.f64 x) (cos.f64 y))

Compiler

Compiled 278 to 172 computations (38.1% saved)

series1.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite126.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1512×	`rational.json-1`
1512×	`rational.json-2`
1512×	`rational.json-3`
1230×	`rational.json-simplify-35`
1218×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	47
1	110	47
2	220	47
3	449	47
4	918	47
5	2150	47
6	4069	47
7	5893	47
8	7677	47

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) (*.f64 (cos.f64 y) (-.f64 3 (sqrt.f64 5)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) (*.f64 (cos.f64 y) (-.f64 3 (sqrt.f64 5)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) (*.f64 (cos.f64 y) (-.f64 3 (sqrt.f64 5)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (+.f64 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) (*.f64 (cos.f64 y) (-.f64 3 (sqrt.f64 5)))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (+.f64 (*.f64 (-.f64 3 (sqrt.f64 5)) (*.f64 (cos.f64 y) 1/2)) (*.f64 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) (*.f64 (cos.f64 y) (-.f64 3 (sqrt.f64 5)))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (+.f64 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) (*.f64 (cos.f64 y) (-.f64 3 (sqrt.f64 5)))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) (*.f64 (cos.f64 y) (-.f64 3 (sqrt.f64 5)))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (+.f64 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) (*.f64 (cos.f64 y) (-.f64 3 (sqrt.f64 5)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (+.f64 (*.f64 (cos.f64 y) (*.f64 (-.f64 3 (sqrt.f64 5)) 2)) (*.f64 (cos.f64 x) (*.f64 (+.f64 (sqrt.f64 5) -1) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) (*.f64 (cos.f64 y) (-.f64 3 (sqrt.f64 5)))) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (+.f64 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) (*.f64 (cos.f64 y) (-.f64 3 (sqrt.f64 5)))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) (*.f64 (cos.f64 y) (-.f64 3 (sqrt.f64 5)))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) (*.f64 (cos.f64 y) (-.f64 3 (sqrt.f64 5)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) (*.f64 (cos.f64 y) (-.f64 3 (sqrt.f64 5)))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) (*.f64 (cos.f64 y) (-.f64 3 (sqrt.f64 5)))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) (*.f64 (cos.f64 y) (-.f64 3 (sqrt.f64 5)))) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) (*.f64 (cos.f64 y) (-.f64 3 (sqrt.f64 5)))) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) (*.f64 (cos.f64 y) (-.f64 3 (sqrt.f64 5)))) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) (*.f64 (cos.f64 y) (-.f64 3 (sqrt.f64 5)))) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) (*.f64 (cos.f64 y) (-.f64 3 (sqrt.f64 5)))) 1)))))

simplify506.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

2330×	`rational.json-simplify-2`
1874×	`rational.json-simplify-1`
1718×	`rational.json-simplify-35`
1496×	`rational.json-simplify-49`
1166×	`rational.json-simplify-51`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	113	2443
1	263	2443
2	593	2411
3	1413	2363
4	2489	2347
5	3777	2347
6	4345	2347
7	4491	2347
8	4608	2347
9	4760	2347
10	4941	2347
11	5611	2347
12	5871	2347
13	6080	2347
14	6216	2347
15	6348	2347
16	6482	2347
17	6620	2347
18	6750	2347
19	7894	2347

Stop Event

1×	node limit

Counts

45 → 66

Calls

Call 1

Inputs
(-.f64 (+.f64 (sqrt.f64 5) (*.f64 (-.f64 3 (sqrt.f64 5)) (cos.f64 y))) 1)
(-.f64 (+.f64 (sqrt.f64 5) (+.f64 (.f64 -1/2 (.f64 (-.f64 (sqrt.f64 5) 1) (pow.f64 x 2))) (*.f64 (-.f64 3 (sqrt.f64 5)) (cos.f64 y)))) 1)
(-.f64 (+.f64 (sqrt.f64 5) (+.f64 (.f64 -1/2 (.f64 (-.f64 (sqrt.f64 5) 1) (pow.f64 x 2))) (+.f64 (.f64 1/24 (.f64 (-.f64 (sqrt.f64 5) 1) (pow.f64 x 4))) (*.f64 (-.f64 3 (sqrt.f64 5)) (cos.f64 y))))) 1)
(-.f64 (+.f64 (sqrt.f64 5) (+.f64 (.f64 -1/720 (.f64 (-.f64 (sqrt.f64 5) 1) (pow.f64 x 6))) (+.f64 (.f64 -1/2 (.f64 (-.f64 (sqrt.f64 5) 1) (pow.f64 x 2))) (+.f64 (.f64 1/24 (.f64 (-.f64 (sqrt.f64 5) 1) (pow.f64 x 4))) (*.f64 (-.f64 3 (sqrt.f64 5)) (cos.f64 y)))))) 1)
(+.f64 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)) (.f64 (-.f64 3 (sqrt.f64 5)) (cos.f64 y)))
(+.f64 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)) (.f64 (-.f64 3 (sqrt.f64 5)) (cos.f64 y)))
(+.f64 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)) (.f64 (-.f64 3 (sqrt.f64 5)) (cos.f64 y)))
(+.f64 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)) (.f64 (-.f64 3 (sqrt.f64 5)) (cos.f64 y)))
(+.f64 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)) (.f64 (-.f64 3 (sqrt.f64 5)) (cos.f64 y)))
(+.f64 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)) (.f64 (-.f64 3 (sqrt.f64 5)) (cos.f64 y)))
(+.f64 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)) (.f64 (-.f64 3 (sqrt.f64 5)) (cos.f64 y)))
(+.f64 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)) (.f64 (-.f64 3 (sqrt.f64 5)) (cos.f64 y)))
(-.f64 (+.f64 3 (*.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))) (sqrt.f64 5))
(-.f64 (+.f64 3 (+.f64 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)) (.f64 -1/2 (*.f64 (pow.f64 y 2) (-.f64 3 (sqrt.f64 5)))))) (sqrt.f64 5))
(-.f64 (+.f64 3 (+.f64 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)) (+.f64 (.f64 1/24 (.f64 (pow.f64 y 4) (-.f64 3 (sqrt.f64 5)))) (.f64 -1/2 (*.f64 (pow.f64 y 2) (-.f64 3 (sqrt.f64 5))))))) (sqrt.f64 5))
(-.f64 (+.f64 (.f64 -1/720 (.f64 (pow.f64 y 6) (-.f64 3 (sqrt.f64 5)))) (+.f64 3 (+.f64 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)) (+.f64 (.f64 1/24 (.f64 (pow.f64 y 4) (-.f64 3 (sqrt.f64 5)))) (.f64 -1/2 (*.f64 (pow.f64 y 2) (-.f64 3 (sqrt.f64 5)))))))) (sqrt.f64 5))
(+.f64 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)) (.f64 (-.f64 3 (sqrt.f64 5)) (cos.f64 y)))
(+.f64 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)) (.f64 (-.f64 3 (sqrt.f64 5)) (cos.f64 y)))
(+.f64 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)) (.f64 (-.f64 3 (sqrt.f64 5)) (cos.f64 y)))
(+.f64 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)) (.f64 (-.f64 3 (sqrt.f64 5)) (cos.f64 y)))
(+.f64 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)) (.f64 (-.f64 3 (sqrt.f64 5)) (cos.f64 y)))
(+.f64 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)) (.f64 (-.f64 3 (sqrt.f64 5)) (cos.f64 y)))
(+.f64 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)) (.f64 (-.f64 3 (sqrt.f64 5)) (cos.f64 y)))
(+.f64 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)) (.f64 (-.f64 3 (sqrt.f64 5)) (cos.f64 y)))
(-.f64 (+.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) (.f64 (cos.f64 y) (-.f64 3 (sqrt.f64 5)))) 0)
(.f64 (+.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) (*.f64 (cos.f64 y) (-.f64 3 (sqrt.f64 5)))) 1)
(.f64 1 (+.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) (*.f64 (cos.f64 y) (-.f64 3 (sqrt.f64 5)))))
(.f64 2 (.f64 (+.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) (.f64 (cos.f64 y) (-.f64 3 (sqrt.f64 5)))) 1/2))
(.f64 2 (+.f64 (.f64 (-.f64 3 (sqrt.f64 5)) (.f64 (cos.f64 y) 1/2)) (.f64 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) 1/2)))
(.f64 (.f64 (+.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) (.f64 (cos.f64 y) (-.f64 3 (sqrt.f64 5)))) 2) 1/2)
(.f64 4 (/.f64 (+.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) (*.f64 (cos.f64 y) (-.f64 3 (sqrt.f64 5)))) 4))
(.f64 (.f64 (+.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) (.f64 (cos.f64 y) (-.f64 3 (sqrt.f64 5)))) 4) 1/4)
(.f64 1/2 (.f64 (+.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) (.f64 (cos.f64 y) (-.f64 3 (sqrt.f64 5)))) 2))
(.f64 1/2 (+.f64 (.f64 (cos.f64 y) (.f64 (-.f64 3 (sqrt.f64 5)) 2)) (.f64 (cos.f64 x) (*.f64 (+.f64 (sqrt.f64 5) -1) 2))))
(.f64 (.f64 (+.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) (.f64 (cos.f64 y) (-.f64 3 (sqrt.f64 5)))) 1/2) 2)
(.f64 1/4 (.f64 (+.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) (.f64 (cos.f64 y) (-.f64 3 (sqrt.f64 5)))) 4))
(.f64 (/.f64 (+.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) (*.f64 (cos.f64 y) (-.f64 3 (sqrt.f64 5)))) 4) 4)
(/.f64 (+.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) (.f64 (cos.f64 y) (-.f64 3 (sqrt.f64 5)))) 1)
(/.f64 (.f64 (+.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) (*.f64 (cos.f64 y) (-.f64 3 (sqrt.f64 5)))) 2) 2)
(/.f64 (.f64 (+.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) (*.f64 (cos.f64 y) (-.f64 3 (sqrt.f64 5)))) 4) 4)
(/.f64 (.f64 (+.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) (*.f64 (cos.f64 y) (-.f64 3 (sqrt.f64 5)))) 8) 8)
(/.f64 (.f64 2 (.f64 (+.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) (.f64 (cos.f64 y) (-.f64 3 (sqrt.f64 5)))) 8)) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) (*.f64 (cos.f64 y) (-.f64 3 (sqrt.f64 5)))) 8))) 32)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) (.f64 (cos.f64 y) (-.f64 3 (sqrt.f64 5)))) 8)))) 64)
(pow.f64 (+.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) (.f64 (cos.f64 y) (-.f64 3 (sqrt.f64 5)))) 1)

Outputs
(-.f64 (+.f64 (sqrt.f64 5) (*.f64 (-.f64 3 (sqrt.f64 5)) (cos.f64 y))) 1)
(+.f64 (*.f64 (-.f64 3 (sqrt.f64 5)) (cos.f64 y)) (+.f64 (sqrt.f64 5) -1))
(+.f64 (sqrt.f64 5) (+.f64 -1 (*.f64 (-.f64 3 (sqrt.f64 5)) (cos.f64 y))))
(+.f64 (sqrt.f64 5) (+.f64 (*.f64 (-.f64 3 (sqrt.f64 5)) (cos.f64 y)) -1))
(-.f64 (+.f64 (sqrt.f64 5) (+.f64 (.f64 -1/2 (.f64 (-.f64 (sqrt.f64 5) 1) (pow.f64 x 2))) (*.f64 (-.f64 3 (sqrt.f64 5)) (cos.f64 y)))) 1)
(+.f64 (+.f64 (.f64 (-.f64 3 (sqrt.f64 5)) (cos.f64 y)) (.f64 -1/2 (*.f64 (+.f64 (sqrt.f64 5) -1) (pow.f64 x 2)))) (+.f64 (sqrt.f64 5) -1))
(+.f64 (sqrt.f64 5) (+.f64 -1 (+.f64 (.f64 (-.f64 3 (sqrt.f64 5)) (cos.f64 y)) (.f64 -1/2 (*.f64 (+.f64 (sqrt.f64 5) -1) (pow.f64 x 2))))))
(+.f64 (.f64 (-.f64 3 (sqrt.f64 5)) (cos.f64 y)) (+.f64 (.f64 -1/2 (*.f64 (+.f64 (sqrt.f64 5) -1) (pow.f64 x 2))) (+.f64 (sqrt.f64 5) -1)))
(+.f64 (.f64 (-.f64 3 (sqrt.f64 5)) (cos.f64 y)) (+.f64 (+.f64 (sqrt.f64 5) -1) (.f64 (+.f64 (sqrt.f64 5) -1) (*.f64 -1/2 (pow.f64 x 2)))))
(+.f64 (.f64 (-.f64 3 (sqrt.f64 5)) (cos.f64 y)) (+.f64 (sqrt.f64 5) (+.f64 (.f64 -1/2 (*.f64 (+.f64 (sqrt.f64 5) -1) (pow.f64 x 2))) -1)))
(-.f64 (+.f64 (sqrt.f64 5) (+.f64 (.f64 -1/2 (.f64 (-.f64 (sqrt.f64 5) 1) (pow.f64 x 2))) (+.f64 (.f64 1/24 (.f64 (-.f64 (sqrt.f64 5) 1) (pow.f64 x 4))) (*.f64 (-.f64 3 (sqrt.f64 5)) (cos.f64 y))))) 1)
(+.f64 (+.f64 (.f64 -1/2 (.f64 (+.f64 (sqrt.f64 5) -1) (pow.f64 x 2))) (+.f64 (.f64 (-.f64 3 (sqrt.f64 5)) (cos.f64 y)) (.f64 (+.f64 (sqrt.f64 5) -1) (*.f64 (pow.f64 x 4) 1/24)))) (+.f64 (sqrt.f64 5) -1))
(+.f64 (+.f64 (sqrt.f64 5) -1) (+.f64 (.f64 (-.f64 3 (sqrt.f64 5)) (cos.f64 y)) (+.f64 (.f64 (+.f64 (sqrt.f64 5) -1) (.f64 1/24 (pow.f64 x 4))) (.f64 -1/2 (*.f64 (+.f64 (sqrt.f64 5) -1) (pow.f64 x 2))))))
(+.f64 (sqrt.f64 5) (+.f64 (.f64 (-.f64 3 (sqrt.f64 5)) (cos.f64 y)) (+.f64 (.f64 (+.f64 (sqrt.f64 5) -1) (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 1/24 (pow.f64 x 4)))) -1)))
(+.f64 (.f64 (-.f64 3 (sqrt.f64 5)) (cos.f64 y)) (+.f64 (+.f64 (sqrt.f64 5) -1) (.f64 (+.f64 (sqrt.f64 5) -1) (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 1/24 (pow.f64 x 4))))))
(+.f64 (sqrt.f64 5) (+.f64 (+.f64 (.f64 (-.f64 3 (sqrt.f64 5)) (cos.f64 y)) (.f64 (+.f64 (sqrt.f64 5) -1) (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 1/24 (pow.f64 x 4))))) -1))
(-.f64 (+.f64 (sqrt.f64 5) (+.f64 (.f64 -1/720 (.f64 (-.f64 (sqrt.f64 5) 1) (pow.f64 x 6))) (+.f64 (.f64 -1/2 (.f64 (-.f64 (sqrt.f64 5) 1) (pow.f64 x 2))) (+.f64 (.f64 1/24 (.f64 (-.f64 (sqrt.f64 5) 1) (pow.f64 x 4))) (*.f64 (-.f64 3 (sqrt.f64 5)) (cos.f64 y)))))) 1)
(+.f64 (+.f64 (.f64 -1/2 (.f64 (+.f64 (sqrt.f64 5) -1) (pow.f64 x 2))) (+.f64 (+.f64 (.f64 (-.f64 3 (sqrt.f64 5)) (cos.f64 y)) (.f64 (+.f64 (sqrt.f64 5) -1) (.f64 (pow.f64 x 4) 1/24))) (.f64 (+.f64 (sqrt.f64 5) -1) (*.f64 (pow.f64 x 6) -1/720)))) (+.f64 (sqrt.f64 5) -1))
(+.f64 (+.f64 (sqrt.f64 5) -1) (+.f64 (+.f64 (.f64 (-.f64 3 (sqrt.f64 5)) (cos.f64 y)) (.f64 (+.f64 (sqrt.f64 5) -1) (.f64 1/24 (pow.f64 x 4)))) (+.f64 (.f64 (+.f64 (sqrt.f64 5) -1) (.f64 -1/720 (pow.f64 x 6))) (.f64 -1/2 (*.f64 (+.f64 (sqrt.f64 5) -1) (pow.f64 x 2))))))
(+.f64 (+.f64 (.f64 (-.f64 3 (sqrt.f64 5)) (cos.f64 y)) (.f64 (+.f64 (sqrt.f64 5) -1) (.f64 1/24 (pow.f64 x 4)))) (+.f64 (.f64 (+.f64 (sqrt.f64 5) -1) (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1/720 (pow.f64 x 6)))) (+.f64 (sqrt.f64 5) -1)))
(+.f64 (.f64 (-.f64 3 (sqrt.f64 5)) (cos.f64 y)) (+.f64 (.f64 (+.f64 (sqrt.f64 5) -1) (+.f64 (.f64 -1/720 (pow.f64 x 6)) (+.f64 (.f64 -1/2 (pow.f64 x 2)) (*.f64 1/24 (pow.f64 x 4))))) (+.f64 (sqrt.f64 5) -1)))
(+.f64 (+.f64 (sqrt.f64 5) -1) (+.f64 (.f64 (-.f64 3 (sqrt.f64 5)) (cos.f64 y)) (.f64 (+.f64 (sqrt.f64 5) -1) (+.f64 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1/720 (pow.f64 x 6))) (*.f64 1/24 (pow.f64 x 4))))))
(+.f64 (+.f64 (sqrt.f64 5) -1) (+.f64 (.f64 (-.f64 3 (sqrt.f64 5)) (cos.f64 y)) (.f64 (+.f64 (sqrt.f64 5) -1) (+.f64 (.f64 1/24 (pow.f64 x 4)) (+.f64 (.f64 -1/2 (pow.f64 x 2)) (*.f64 -1/720 (pow.f64 x 6)))))))
(+.f64 (+.f64 (.f64 (-.f64 3 (sqrt.f64 5)) (cos.f64 y)) -1) (+.f64 (sqrt.f64 5) (.f64 (+.f64 (sqrt.f64 5) -1) (+.f64 (.f64 -1/720 (pow.f64 x 6)) (+.f64 (.f64 -1/2 (pow.f64 x 2)) (*.f64 1/24 (pow.f64 x 4)))))))
(+.f64 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)) (.f64 (-.f64 3 (sqrt.f64 5)) (cos.f64 y)))
(+.f64 (.f64 (-.f64 3 (sqrt.f64 5)) (cos.f64 y)) (.f64 (+.f64 (sqrt.f64 5) -1) (cos.f64 x)))
(+.f64 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)) (.f64 (-.f64 3 (sqrt.f64 5)) (cos.f64 y)))
(+.f64 (.f64 (-.f64 3 (sqrt.f64 5)) (cos.f64 y)) (.f64 (+.f64 (sqrt.f64 5) -1) (cos.f64 x)))
(+.f64 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)) (.f64 (-.f64 3 (sqrt.f64 5)) (cos.f64 y)))
(+.f64 (.f64 (-.f64 3 (sqrt.f64 5)) (cos.f64 y)) (.f64 (+.f64 (sqrt.f64 5) -1) (cos.f64 x)))
(+.f64 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)) (.f64 (-.f64 3 (sqrt.f64 5)) (cos.f64 y)))
(+.f64 (.f64 (-.f64 3 (sqrt.f64 5)) (cos.f64 y)) (.f64 (+.f64 (sqrt.f64 5) -1) (cos.f64 x)))
(+.f64 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)) (.f64 (-.f64 3 (sqrt.f64 5)) (cos.f64 y)))
(+.f64 (.f64 (-.f64 3 (sqrt.f64 5)) (cos.f64 y)) (.f64 (+.f64 (sqrt.f64 5) -1) (cos.f64 x)))
(+.f64 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)) (.f64 (-.f64 3 (sqrt.f64 5)) (cos.f64 y)))
(+.f64 (.f64 (-.f64 3 (sqrt.f64 5)) (cos.f64 y)) (.f64 (+.f64 (sqrt.f64 5) -1) (cos.f64 x)))
(+.f64 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)) (.f64 (-.f64 3 (sqrt.f64 5)) (cos.f64 y)))
(+.f64 (.f64 (-.f64 3 (sqrt.f64 5)) (cos.f64 y)) (.f64 (+.f64 (sqrt.f64 5) -1) (cos.f64 x)))
(+.f64 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)) (.f64 (-.f64 3 (sqrt.f64 5)) (cos.f64 y)))
(+.f64 (.f64 (-.f64 3 (sqrt.f64 5)) (cos.f64 y)) (.f64 (+.f64 (sqrt.f64 5) -1) (cos.f64 x)))
(-.f64 (+.f64 3 (*.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))) (sqrt.f64 5))
(+.f64 (*.f64 (+.f64 (sqrt.f64 5) -1) (cos.f64 x)) (-.f64 3 (sqrt.f64 5)))
(+.f64 3 (-.f64 (*.f64 (+.f64 (sqrt.f64 5) -1) (cos.f64 x)) (sqrt.f64 5)))
(-.f64 (+.f64 3 (+.f64 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)) (.f64 -1/2 (*.f64 (pow.f64 y 2) (-.f64 3 (sqrt.f64 5)))))) (sqrt.f64 5))
(+.f64 (+.f64 (.f64 (+.f64 (sqrt.f64 5) -1) (cos.f64 x)) (.f64 -1/2 (*.f64 (-.f64 3 (sqrt.f64 5)) (pow.f64 y 2)))) (-.f64 3 (sqrt.f64 5)))
(+.f64 3 (-.f64 (+.f64 (.f64 (+.f64 (sqrt.f64 5) -1) (cos.f64 x)) (.f64 (-.f64 3 (sqrt.f64 5)) (*.f64 (pow.f64 y 2) -1/2))) (sqrt.f64 5)))
(+.f64 3 (+.f64 (.f64 (+.f64 (sqrt.f64 5) -1) (cos.f64 x)) (-.f64 (.f64 (-.f64 3 (sqrt.f64 5)) (*.f64 -1/2 (pow.f64 y 2))) (sqrt.f64 5))))
(-.f64 (+.f64 3 (+.f64 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)) (+.f64 (.f64 1/24 (.f64 (pow.f64 y 4) (-.f64 3 (sqrt.f64 5)))) (.f64 -1/2 (*.f64 (pow.f64 y 2) (-.f64 3 (sqrt.f64 5))))))) (sqrt.f64 5))
(+.f64 (+.f64 (.f64 1/24 (.f64 (-.f64 3 (sqrt.f64 5)) (pow.f64 y 4))) (+.f64 (.f64 (+.f64 (sqrt.f64 5) -1) (cos.f64 x)) (.f64 -1/2 (*.f64 (-.f64 3 (sqrt.f64 5)) (pow.f64 y 2))))) (-.f64 3 (sqrt.f64 5)))
(+.f64 (-.f64 3 (sqrt.f64 5)) (+.f64 (+.f64 (.f64 (+.f64 (sqrt.f64 5) -1) (cos.f64 x)) (.f64 (-.f64 3 (sqrt.f64 5)) (.f64 (pow.f64 y 2) -1/2))) (.f64 (-.f64 3 (sqrt.f64 5)) (*.f64 (pow.f64 y 4) 1/24))))
(+.f64 3 (+.f64 (.f64 (+.f64 (sqrt.f64 5) -1) (cos.f64 x)) (-.f64 (+.f64 (.f64 (-.f64 3 (sqrt.f64 5)) (.f64 -1/2 (pow.f64 y 2))) (.f64 1/24 (*.f64 (-.f64 3 (sqrt.f64 5)) (pow.f64 y 4)))) (sqrt.f64 5))))
(+.f64 3 (+.f64 (.f64 (+.f64 (sqrt.f64 5) -1) (cos.f64 x)) (-.f64 (.f64 (-.f64 3 (sqrt.f64 5)) (+.f64 (.f64 1/24 (pow.f64 y 4)) (.f64 -1/2 (pow.f64 y 2)))) (sqrt.f64 5))))
(-.f64 (+.f64 (.f64 -1/720 (.f64 (pow.f64 y 6) (-.f64 3 (sqrt.f64 5)))) (+.f64 3 (+.f64 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)) (+.f64 (.f64 1/24 (.f64 (pow.f64 y 4) (-.f64 3 (sqrt.f64 5)))) (.f64 -1/2 (*.f64 (pow.f64 y 2) (-.f64 3 (sqrt.f64 5)))))))) (sqrt.f64 5))
(+.f64 (+.f64 3 (+.f64 (.f64 1/24 (.f64 (-.f64 3 (sqrt.f64 5)) (pow.f64 y 4))) (+.f64 (.f64 (+.f64 (sqrt.f64 5) -1) (cos.f64 x)) (.f64 -1/2 (.f64 (-.f64 3 (sqrt.f64 5)) (pow.f64 y 2)))))) (-.f64 (.f64 (pow.f64 y 6) (*.f64 (-.f64 3 (sqrt.f64 5)) -1/720)) (sqrt.f64 5)))
(+.f64 (+.f64 3 (+.f64 (+.f64 (.f64 (+.f64 (sqrt.f64 5) -1) (cos.f64 x)) (.f64 (-.f64 3 (sqrt.f64 5)) (.f64 (pow.f64 y 2) -1/2))) (.f64 (-.f64 3 (sqrt.f64 5)) (.f64 (pow.f64 y 4) 1/24)))) (-.f64 (.f64 (-.f64 3 (sqrt.f64 5)) (*.f64 (pow.f64 y 6) -1/720)) (sqrt.f64 5)))
(+.f64 3 (+.f64 (+.f64 (.f64 (+.f64 (sqrt.f64 5) -1) (cos.f64 x)) (-.f64 (+.f64 (.f64 (-.f64 3 (sqrt.f64 5)) (.f64 -1/2 (pow.f64 y 2))) (.f64 1/24 (.f64 (-.f64 3 (sqrt.f64 5)) (pow.f64 y 4)))) (sqrt.f64 5))) (.f64 (-.f64 3 (sqrt.f64 5)) (*.f64 -1/720 (pow.f64 y 6)))))
(+.f64 (+.f64 3 (.f64 (+.f64 (sqrt.f64 5) -1) (cos.f64 x))) (+.f64 (-.f64 (.f64 (-.f64 3 (sqrt.f64 5)) (+.f64 (.f64 1/24 (pow.f64 y 4)) (.f64 -1/2 (pow.f64 y 2)))) (sqrt.f64 5)) (.f64 (-.f64 3 (sqrt.f64 5)) (.f64 -1/720 (pow.f64 y 6)))))
(+.f64 3 (+.f64 (-.f64 (.f64 (+.f64 (sqrt.f64 5) -1) (cos.f64 x)) (sqrt.f64 5)) (.f64 (-.f64 3 (sqrt.f64 5)) (+.f64 (.f64 -1/720 (pow.f64 y 6)) (+.f64 (.f64 1/24 (pow.f64 y 4)) (*.f64 -1/2 (pow.f64 y 2)))))))
(+.f64 (.f64 (+.f64 (sqrt.f64 5) -1) (cos.f64 x)) (+.f64 (-.f64 3 (sqrt.f64 5)) (.f64 (-.f64 3 (sqrt.f64 5)) (+.f64 (.f64 -1/720 (pow.f64 y 6)) (+.f64 (.f64 1/24 (pow.f64 y 4)) (*.f64 -1/2 (pow.f64 y 2)))))))
(+.f64 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)) (.f64 (-.f64 3 (sqrt.f64 5)) (cos.f64 y)))
(+.f64 (.f64 (-.f64 3 (sqrt.f64 5)) (cos.f64 y)) (.f64 (+.f64 (sqrt.f64 5) -1) (cos.f64 x)))
(+.f64 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)) (.f64 (-.f64 3 (sqrt.f64 5)) (cos.f64 y)))
(+.f64 (.f64 (-.f64 3 (sqrt.f64 5)) (cos.f64 y)) (.f64 (+.f64 (sqrt.f64 5) -1) (cos.f64 x)))
(+.f64 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)) (.f64 (-.f64 3 (sqrt.f64 5)) (cos.f64 y)))
(+.f64 (.f64 (-.f64 3 (sqrt.f64 5)) (cos.f64 y)) (.f64 (+.f64 (sqrt.f64 5) -1) (cos.f64 x)))
(+.f64 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)) (.f64 (-.f64 3 (sqrt.f64 5)) (cos.f64 y)))
(+.f64 (.f64 (-.f64 3 (sqrt.f64 5)) (cos.f64 y)) (.f64 (+.f64 (sqrt.f64 5) -1) (cos.f64 x)))
(+.f64 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)) (.f64 (-.f64 3 (sqrt.f64 5)) (cos.f64 y)))
(+.f64 (.f64 (-.f64 3 (sqrt.f64 5)) (cos.f64 y)) (.f64 (+.f64 (sqrt.f64 5) -1) (cos.f64 x)))
(+.f64 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)) (.f64 (-.f64 3 (sqrt.f64 5)) (cos.f64 y)))
(+.f64 (.f64 (-.f64 3 (sqrt.f64 5)) (cos.f64 y)) (.f64 (+.f64 (sqrt.f64 5) -1) (cos.f64 x)))
(+.f64 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)) (.f64 (-.f64 3 (sqrt.f64 5)) (cos.f64 y)))
(+.f64 (.f64 (-.f64 3 (sqrt.f64 5)) (cos.f64 y)) (.f64 (+.f64 (sqrt.f64 5) -1) (cos.f64 x)))
(+.f64 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x)) (.f64 (-.f64 3 (sqrt.f64 5)) (cos.f64 y)))
(+.f64 (.f64 (-.f64 3 (sqrt.f64 5)) (cos.f64 y)) (.f64 (+.f64 (sqrt.f64 5) -1) (cos.f64 x)))
(-.f64 (+.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) (.f64 (cos.f64 y) (-.f64 3 (sqrt.f64 5)))) 0)
(+.f64 (.f64 (-.f64 3 (sqrt.f64 5)) (cos.f64 y)) (.f64 (+.f64 (sqrt.f64 5) -1) (cos.f64 x)))
(.f64 (+.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) (*.f64 (cos.f64 y) (-.f64 3 (sqrt.f64 5)))) 1)
(+.f64 (.f64 (-.f64 3 (sqrt.f64 5)) (cos.f64 y)) (.f64 (+.f64 (sqrt.f64 5) -1) (cos.f64 x)))
(.f64 1 (+.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) (*.f64 (cos.f64 y) (-.f64 3 (sqrt.f64 5)))))
(+.f64 (.f64 (-.f64 3 (sqrt.f64 5)) (cos.f64 y)) (.f64 (+.f64 (sqrt.f64 5) -1) (cos.f64 x)))
(.f64 2 (.f64 (+.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) (.f64 (cos.f64 y) (-.f64 3 (sqrt.f64 5)))) 1/2))
(+.f64 (.f64 (-.f64 3 (sqrt.f64 5)) (cos.f64 y)) (.f64 (+.f64 (sqrt.f64 5) -1) (cos.f64 x)))
(.f64 2 (+.f64 (.f64 (-.f64 3 (sqrt.f64 5)) (.f64 (cos.f64 y) 1/2)) (.f64 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) 1/2)))
(+.f64 (.f64 (-.f64 3 (sqrt.f64 5)) (cos.f64 y)) (.f64 (+.f64 (sqrt.f64 5) -1) (cos.f64 x)))
(.f64 (.f64 (+.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) (.f64 (cos.f64 y) (-.f64 3 (sqrt.f64 5)))) 2) 1/2)
(+.f64 (.f64 (-.f64 3 (sqrt.f64 5)) (cos.f64 y)) (.f64 (+.f64 (sqrt.f64 5) -1) (cos.f64 x)))
(.f64 4 (/.f64 (+.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) (*.f64 (cos.f64 y) (-.f64 3 (sqrt.f64 5)))) 4))
(+.f64 (.f64 (-.f64 3 (sqrt.f64 5)) (cos.f64 y)) (.f64 (+.f64 (sqrt.f64 5) -1) (cos.f64 x)))
(.f64 (.f64 (+.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) (.f64 (cos.f64 y) (-.f64 3 (sqrt.f64 5)))) 4) 1/4)
(+.f64 (.f64 (-.f64 3 (sqrt.f64 5)) (cos.f64 y)) (.f64 (+.f64 (sqrt.f64 5) -1) (cos.f64 x)))
(.f64 1/2 (.f64 (+.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) (.f64 (cos.f64 y) (-.f64 3 (sqrt.f64 5)))) 2))
(+.f64 (.f64 (-.f64 3 (sqrt.f64 5)) (cos.f64 y)) (.f64 (+.f64 (sqrt.f64 5) -1) (cos.f64 x)))
(.f64 1/2 (+.f64 (.f64 (cos.f64 y) (.f64 (-.f64 3 (sqrt.f64 5)) 2)) (.f64 (cos.f64 x) (*.f64 (+.f64 (sqrt.f64 5) -1) 2))))
(+.f64 (.f64 (-.f64 3 (sqrt.f64 5)) (cos.f64 y)) (.f64 (+.f64 (sqrt.f64 5) -1) (cos.f64 x)))
(.f64 (.f64 (+.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) (.f64 (cos.f64 y) (-.f64 3 (sqrt.f64 5)))) 1/2) 2)
(+.f64 (.f64 (-.f64 3 (sqrt.f64 5)) (cos.f64 y)) (.f64 (+.f64 (sqrt.f64 5) -1) (cos.f64 x)))
(.f64 1/4 (.f64 (+.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) (.f64 (cos.f64 y) (-.f64 3 (sqrt.f64 5)))) 4))
(+.f64 (.f64 (-.f64 3 (sqrt.f64 5)) (cos.f64 y)) (.f64 (+.f64 (sqrt.f64 5) -1) (cos.f64 x)))
(.f64 (/.f64 (+.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) (*.f64 (cos.f64 y) (-.f64 3 (sqrt.f64 5)))) 4) 4)
(+.f64 (.f64 (-.f64 3 (sqrt.f64 5)) (cos.f64 y)) (.f64 (+.f64 (sqrt.f64 5) -1) (cos.f64 x)))
(/.f64 (+.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) (.f64 (cos.f64 y) (-.f64 3 (sqrt.f64 5)))) 1)
(+.f64 (.f64 (-.f64 3 (sqrt.f64 5)) (cos.f64 y)) (.f64 (+.f64 (sqrt.f64 5) -1) (cos.f64 x)))
(/.f64 (.f64 (+.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) (*.f64 (cos.f64 y) (-.f64 3 (sqrt.f64 5)))) 2) 2)
(+.f64 (.f64 (-.f64 3 (sqrt.f64 5)) (cos.f64 y)) (.f64 (+.f64 (sqrt.f64 5) -1) (cos.f64 x)))
(/.f64 (.f64 (+.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) (*.f64 (cos.f64 y) (-.f64 3 (sqrt.f64 5)))) 4) 4)
(+.f64 (.f64 (-.f64 3 (sqrt.f64 5)) (cos.f64 y)) (.f64 (+.f64 (sqrt.f64 5) -1) (cos.f64 x)))
(/.f64 (.f64 (+.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) (*.f64 (cos.f64 y) (-.f64 3 (sqrt.f64 5)))) 8) 8)
(+.f64 (.f64 (-.f64 3 (sqrt.f64 5)) (cos.f64 y)) (.f64 (+.f64 (sqrt.f64 5) -1) (cos.f64 x)))
(/.f64 (.f64 2 (.f64 (+.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) (.f64 (cos.f64 y) (-.f64 3 (sqrt.f64 5)))) 8)) 16)
(+.f64 (.f64 (-.f64 3 (sqrt.f64 5)) (cos.f64 y)) (.f64 (+.f64 (sqrt.f64 5) -1) (cos.f64 x)))
(/.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) (*.f64 (cos.f64 y) (-.f64 3 (sqrt.f64 5)))) 8))) 32)
(+.f64 (.f64 (-.f64 3 (sqrt.f64 5)) (cos.f64 y)) (.f64 (+.f64 (sqrt.f64 5) -1) (cos.f64 x)))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) (.f64 (cos.f64 y) (-.f64 3 (sqrt.f64 5)))) 8)))) 64)
(+.f64 (.f64 (-.f64 3 (sqrt.f64 5)) (cos.f64 y)) (.f64 (+.f64 (sqrt.f64 5) -1) (cos.f64 x)))
(pow.f64 (+.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) (.f64 (cos.f64 y) (-.f64 3 (sqrt.f64 5)))) 1)
(+.f64 (.f64 (-.f64 3 (sqrt.f64 5)) (cos.f64 y)) (.f64 (+.f64 (sqrt.f64 5) -1) (cos.f64 x)))

eval786.0ms (1.4%)

Compiler: Compiled 47609 to 35864 computations (24.7% saved)

prune313.0ms (0.6%)

Pruning

42 alts after pruning (39 fresh and 3 done)

	Pruned	Kept	Total
New	885	19	904
Fresh	7	20	27
Picked	0	1	1
Done	3	2	5
Total	895	42	937

Error

0.2b

Counts

937 → 42

Alt Table

Click to see full alt table

Status	Error	Program
	0.4b	(/.f64 (/.f64 (+.f64 2 (.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)) (.f64 (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16)) (.f64 (sqrt.f64 2) (-.f64 (+.f64 (-.f64 -1 (cos.f64 y)) (+.f64 (cos.f64 x) 2)) 1))))) 3) (+.f64 1 (+.f64 (.f64 (cos.f64 x) (/.f64 (+.f64 (sqrt.f64 5) -1) 2)) (*.f64 (cos.f64 y) (/.f64 (-.f64 3 (sqrt.f64 5)) 2)))))
▶	0.4b	(/.f64 (/.f64 (+.f64 2 (.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)) (.f64 (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16)) (.f64 (sqrt.f64 2) (-.f64 (+.f64 (-.f64 -1 (cos.f64 y)) (cos.f64 x)) -1))))) 3) (+.f64 1 (.f64 1/2 (+.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) (.f64 (cos.f64 y) (-.f64 3 (sqrt.f64 5)))))))
	0.4b	(/.f64 (/.f64 (+.f64 2 (.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)) (.f64 (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16)) (.f64 (sqrt.f64 2) (-.f64 (cos.f64 x) (cos.f64 y)))))) 3) (+.f64 1 (.f64 1/2 (+.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) (.f64 (cos.f64 y) (-.f64 3 (sqrt.f64 5)))))))
	38.2b	(/.f64 (/.f64 (+.f64 2 (.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)) (.f64 (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16)) (.f64 (sqrt.f64 2) (-.f64 (cos.f64 x) (cos.f64 y)))))) 3) (+.f64 1 (.f64 1/2 2)))
	25.4b	(/.f64 (/.f64 (+.f64 2 (.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)) (.f64 (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16)) (.f64 (sqrt.f64 2) (-.f64 (cos.f64 x) 1))))) 3) (+.f64 1 (.f64 1/2 (+.f64 (-.f64 3 (sqrt.f64 5)) (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1))))))
	24.1b	(/.f64 (/.f64 (+.f64 2 (.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)) (.f64 (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16)) (.f64 (sqrt.f64 2) (-.f64 (cos.f64 x) 1))))) 3) (+.f64 1 (.f64 1/2 (+.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) (.f64 (cos.f64 y) (-.f64 3 (sqrt.f64 5)))))))
	25.3b	(/.f64 (/.f64 (+.f64 2 (.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)) (.f64 (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16)) (.f64 (sqrt.f64 2) (-.f64 1 (cos.f64 y)))))) 3) (+.f64 1 (+.f64 (.f64 (cos.f64 x) (/.f64 (+.f64 (sqrt.f64 5) -1) 2)) (*.f64 (cos.f64 y) (/.f64 (-.f64 3 (sqrt.f64 5)) 2)))))
▶	27.0b	(/.f64 (/.f64 (+.f64 2 (.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)) (.f64 (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16)) (.f64 (sqrt.f64 2) (-.f64 1 (cos.f64 y)))))) 3) (+.f64 1 (.f64 1/2 (+.f64 (*.f64 (cos.f64 y) (-.f64 3 (sqrt.f64 5))) (+.f64 (sqrt.f64 5) -1)))))
	0.4b	(/.f64 (/.f64 (+.f64 2 (.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)) (.f64 (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16)) (.f64 (sqrt.f64 2) (+.f64 (+.f64 (cos.f64 x) (-.f64 1 (cos.f64 y))) -1))))) 3) (+.f64 1 (+.f64 (.f64 (cos.f64 x) (/.f64 (+.f64 (sqrt.f64 5) -1) 2)) (*.f64 (cos.f64 y) (/.f64 (-.f64 3 (sqrt.f64 5)) 2)))))
	0.5b	(/.f64 (+.f64 2 (/.f64 (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16)) (-.f64 (sin.f64 y) (.f64 (sin.f64 x) 1/16))))) 1)) (.f64 3 (+.f64 1 (.f64 1/2 (+.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) (*.f64 (cos.f64 y) (-.f64 3 (sqrt.f64 5))))))))
	25.7b	(/.f64 (+.f64 2 (.f64 (-.f64 1 (cos.f64 y)) (.f64 (.f64 (sqrt.f64 2) (pow.f64 (sin.f64 y) 2)) -1/16))) (.f64 3 (+.f64 1 (.f64 1/2 (+.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) (*.f64 (cos.f64 y) (-.f64 3 (sqrt.f64 5))))))))
	25.7b	(/.f64 (+.f64 2 (.f64 (-.f64 1 (cos.f64 y)) (.f64 (sqrt.f64 2) (.f64 -1/16 (pow.f64 (sin.f64 y) 2))))) (.f64 3 (+.f64 (+.f64 1 (.f64 (cos.f64 x) (/.f64 (+.f64 (sqrt.f64 5) -1) 2))) (.f64 (cos.f64 y) (/.f64 (-.f64 3 (sqrt.f64 5)) 2)))))
	25.9b	(/.f64 (+.f64 2 (.f64 (.f64 (+.f64 (cos.f64 x) -1) (pow.f64 (sin.f64 x) 2)) (.f64 (sqrt.f64 2) -1/16))) (.f64 3 (+.f64 1 (.f64 1/2 (+.f64 (-.f64 3 (sqrt.f64 5)) (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)))))))
	36.9b	(/.f64 (+.f64 2 (.f64 (.f64 (+.f64 (cos.f64 x) -1) (pow.f64 (sin.f64 x) 2)) (.f64 (sqrt.f64 2) -1/16))) (.f64 3 (+.f64 1 (.f64 1/2 (+.f64 (.f64 (cos.f64 y) (-.f64 3 (sqrt.f64 5))) (+.f64 (sqrt.f64 5) -1))))))
	24.5b	(/.f64 (+.f64 2 (.f64 (.f64 (+.f64 (cos.f64 x) -1) (pow.f64 (sin.f64 x) 2)) (.f64 (sqrt.f64 2) -1/16))) (.f64 3 (+.f64 1 (.f64 1/2 (+.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) (*.f64 (cos.f64 y) (-.f64 3 (sqrt.f64 5))))))))
	25.4b	(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 1 (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
▶	31.3b	(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (+.f64 (sin.f64 x) (.f64 -1/16 y))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (*.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
	32.6b	(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (+.f64 x (.f64 -1/16 (sin.f64 y)))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (*.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
	23.2b	(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (sin.f64 x)) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
	0.5b	(/.f64 (+.f64 2 (.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16)) (.f64 (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x))) (-.f64 (cos.f64 x) (cos.f64 y)))))) (.f64 3 (+.f64 1 (.f64 1/2 (+.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) (*.f64 (cos.f64 y) (-.f64 3 (sqrt.f64 5))))))))
	0.5b	(/.f64 (+.f64 2 (.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16)) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x))))))) (.f64 3 (+.f64 (+.f64 1 (.f64 (cos.f64 x) (/.f64 (+.f64 (sqrt.f64 5) -1) 2))) (.f64 (cos.f64 y) (/.f64 (-.f64 3 (sqrt.f64 5)) 2)))))
✓	25.7b	(/.f64 (+.f64 2 (.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 -1/16 (pow.f64 (sin.f64 y) 2))))) (.f64 3 (+.f64 (+.f64 1 (.f64 (cos.f64 x) (/.f64 (+.f64 (sqrt.f64 5) -1) 2))) (.f64 (cos.f64 y) (/.f64 (-.f64 3 (sqrt.f64 5)) 2)))))
	24.5b	(/.f64 (+.f64 2 (.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 -1/16 (pow.f64 (sin.f64 x) 2))))) (.f64 3 (+.f64 (+.f64 1 (.f64 (cos.f64 x) (/.f64 (+.f64 (sqrt.f64 5) -1) 2))) (.f64 (cos.f64 y) (/.f64 (-.f64 3 (sqrt.f64 5)) 2)))))
	35.2b	(/.f64 (+.f64 2 (.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) 1) (.f64 -1/16 (pow.f64 (sin.f64 y) 2))))) (.f64 3 (+.f64 (+.f64 1 (.f64 (cos.f64 x) (/.f64 (+.f64 (sqrt.f64 5) -1) 2))) (.f64 (cos.f64 y) (/.f64 (-.f64 3 (sqrt.f64 5)) 2)))))
	29.0b	(/.f64 (+.f64 2 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (+.f64 (.f64 (+.f64 (sin.f64 y) (.f64 (sin.f64 y) 1/256)) x) (.f64 -1/16 (pow.f64 (sin.f64 y) 2)))))) (.f64 3 (+.f64 (+.f64 1 (.f64 (cos.f64 x) (/.f64 (+.f64 (sqrt.f64 5) -1) 2))) (.f64 (cos.f64 y) (/.f64 (-.f64 3 (sqrt.f64 5)) 2)))))
▶	41.2b	(/.f64 (+.f64 2 (.f64 (sqrt.f64 2) (.f64 (.f64 (pow.f64 y 2) (+.f64 (cos.f64 x) -1)) -1/16))) (.f64 3 (+.f64 (+.f64 1 (.f64 (cos.f64 x) (/.f64 (+.f64 (sqrt.f64 5) -1) 2))) (.f64 (cos.f64 y) (/.f64 (-.f64 3 (sqrt.f64 5)) 2)))))
	27.1b	(/.f64 (+.f64 2 (.f64 (sqrt.f64 2) (.f64 (.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y))))) (.f64 3 (+.f64 1 (.f64 1/2 (-.f64 (+.f64 (sqrt.f64 5) (.f64 (-.f64 3 (sqrt.f64 5)) (cos.f64 y))) 1)))))
	32.9b	(/.f64 (+.f64 2 (.f64 (sqrt.f64 2) (.f64 (.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y))))) (.f64 3 (+.f64 1 (.f64 1/2 (+.f64 (.f64 (-.f64 3 (sqrt.f64 5)) (cos.f64 y)) (+.f64 (+.f64 (sqrt.f64 5) -1) (.f64 (+.f64 (sqrt.f64 5) -1) (.f64 -1/2 (pow.f64 x 2)))))))))
✓	0.5b	(/.f64 (+.f64 2 (.f64 (sqrt.f64 2) (.f64 (.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y))))) (.f64 3 (+.f64 1 (.f64 1/2 (+.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) (*.f64 (cos.f64 y) (-.f64 3 (sqrt.f64 5))))))))
	25.5b	(/.f64 (+.f64 2 (.f64 (sqrt.f64 2) (.f64 (.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y))))) (.f64 3 (+.f64 1 (.f64 1/2 (+.f64 3 (-.f64 (.f64 (+.f64 (sqrt.f64 5) -1) (cos.f64 x)) (sqrt.f64 5)))))))
	25.4b	(/.f64 (+.f64 2 (.f64 (sqrt.f64 2) (.f64 (.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) 1)))) (.f64 3 (+.f64 1 (.f64 1/2 (+.f64 (-.f64 3 (sqrt.f64 5)) (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)))))))
	24.2b	(/.f64 (+.f64 2 (.f64 (sqrt.f64 2) (.f64 (.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) 1)))) (.f64 3 (+.f64 1 (.f64 1/2 (+.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) (*.f64 (cos.f64 y) (-.f64 3 (sqrt.f64 5))))))))
	25.3b	(/.f64 (+.f64 2 (.f64 (sqrt.f64 2) (.f64 (.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 1 (cos.f64 y))))) (.f64 3 (+.f64 1 (.f64 1/2 (+.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) (*.f64 (cos.f64 y) (-.f64 3 (sqrt.f64 5))))))))
	35.2b	(/.f64 (+.f64 2 (.f64 (sqrt.f64 2) (.f64 (.f64 -1/16 (pow.f64 (sin.f64 y) 2)) (-.f64 (cos.f64 x) 1)))) (.f64 3 (+.f64 1 (+.f64 (.f64 (cos.f64 x) (/.f64 (+.f64 (sqrt.f64 5) -1) 2)) (.f64 (cos.f64 y) (/.f64 (-.f64 3 (sqrt.f64 5)) 2))))))
	24.5b	(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (pow.f64 (sin.f64 x) 2) (.f64 (+.f64 (cos.f64 x) -1) (sqrt.f64 2))))) (.f64 3 (+.f64 (+.f64 1 (.f64 (cos.f64 x) (/.f64 (+.f64 (sqrt.f64 5) -1) 2))) (.f64 (cos.f64 y) (/.f64 (-.f64 3 (sqrt.f64 5)) 2)))))
	27.5b	(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2))))) (.f64 3 (+.f64 1 (.f64 1/2 (-.f64 (+.f64 (sqrt.f64 5) (.f64 (-.f64 3 (sqrt.f64 5)) (cos.f64 y))) 1)))))
	36.6b	(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2))))) (.f64 3 (+.f64 1 (.f64 1/2 (+.f64 (-.f64 3 (sqrt.f64 5)) (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)))))))
✓	27.5b	(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2))))) (.f64 3 (+.f64 1 (.f64 1/2 (+.f64 (.f64 (cos.f64 y) (-.f64 3 (sqrt.f64 5))) (+.f64 (sqrt.f64 5) -1))))))
	43.9b	(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2))))) (.f64 3 (+.f64 1 (.f64 1/2 (+.f64 2 (.f64 (-.f64 3 (sqrt.f64 5)) (*.f64 -1/2 (pow.f64 y 2))))))))
▶	38.2b	(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2))))) (.f64 3 (+.f64 1 (*.f64 1/2 2))))
	44.5b	(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 y 2))))) (.f64 3 (+.f64 1 (.f64 1/2 (+.f64 (.f64 (cos.f64 y) (-.f64 3 (sqrt.f64 5))) (+.f64 (sqrt.f64 5) -1))))))
	27.5b	(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (+.f64 -2 (-.f64 1 (+.f64 (cos.f64 y) -2))) (pow.f64 (sin.f64 y) 2))))) (.f64 3 (+.f64 1 (.f64 1/2 (+.f64 (.f64 (cos.f64 y) (-.f64 3 (sqrt.f64 5))) (+.f64 (sqrt.f64 5) -1))))))

Compiler

Compiled 3666 to 3021 computations (17.6% saved)

localize430.0ms (0.8%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.4b	(-.f64 -1 (cos.f64 y))
	0.6b	(+.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) (.f64 (cos.f64 y) (-.f64 3 (sqrt.f64 5))))
	1.0b	(-.f64 3 (sqrt.f64 5))
	2.4b	(-.f64 (+.f64 (-.f64 -1 (cos.f64 y)) (cos.f64 x)) -1)

Compiler

Compiled 312 to 204 computations (34.6% saved)

localize158.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2))
✓	0.3b	(.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2)))
	0.3b	(pow.f64 (sin.f64 y) 2)
	2.6b	(-.f64 1 (cos.f64 y))

Compiler

Compiled 112 to 85 computations (24.1% saved)

series4.0ms (0%)

Counts

2 → 8

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	y	@	inf	(.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2)))
1.0ms	y	@	0	(.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2)))
1.0ms	y	@	-inf	(.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2)))
0.0ms	y	@	0	(*.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2))
0.0ms	y	@	inf	(*.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2))

rewrite105.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1662×	`rational.json-1`
1662×	`rational.json-2`
1240×	`rational.json-simplify-35`
1094×	`exponential.json-3`
1094×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	64
1	96	64
2	214	64
3	451	64
4	896	64
5	2186	64
6	5051	64
7	7572	64

Stop Event

1×	node limit

Counts

2 → 24

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 (sin.f64 y) 2) (*.f64 (sqrt.f64 2) (-.f64 1 (cos.f64 y)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (pow.f64 (sin.f64 y) 2) (*.f64 (sqrt.f64 2) (-.f64 1 (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 (sin.f64 y) 2) (*.f64 (-.f64 1 (cos.f64 y)) 1/2))) (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 (sin.f64 y) 2) (*.f64 (-.f64 1 (cos.f64 y)) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (pow.f64 (sin.f64 y) 2) (*.f64 (sqrt.f64 2) (-.f64 1 (cos.f64 y)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (sin.f64 y) 2) (*.f64 (sqrt.f64 2) (-.f64 1 (cos.f64 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (pow.f64 (sin.f64 y) 2) (*.f64 (sqrt.f64 2) (-.f64 1 (cos.f64 y))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (sin.f64 y) 2) (*.f64 (sqrt.f64 2) (*.f64 (-.f64 1 (cos.f64 y)) 4))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 y) 2) (*.f64 (sqrt.f64 2) (-.f64 1 (cos.f64 y)))) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (*.f64 (pow.f64 (sin.f64 y) 2) (*.f64 (sqrt.f64 2) (-.f64 1 (cos.f64 y)))) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (*.f64 (pow.f64 (sin.f64 y) 2) (*.f64 (sqrt.f64 2) (-.f64 1 (cos.f64 y)))) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 (*.f64 (pow.f64 (sin.f64 y) 2) (*.f64 (sqrt.f64 2) (-.f64 1 (cos.f64 y)))) 8))) (*.f64 2 (*.f64 2 (*.f64 (*.f64 (pow.f64 (sin.f64 y) 2) (*.f64 (sqrt.f64 2) (-.f64 1 (cos.f64 y)))) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (sin.f64 y) 2) (*.f64 (sqrt.f64 2) (-.f64 1 (cos.f64 y)))) 1)))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 (sin.f64 y) 2) (*.f64 (-.f64 1 (cos.f64 y)) 1/2)) (*.f64 (pow.f64 (sin.f64 y) 2) (*.f64 (-.f64 1 (cos.f64 y)) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (cos.f64 y)) (*.f64 (pow.f64 (sin.f64 y) 2) 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2)) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (*.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2)) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (*.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2)) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 (*.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2)) 8))) (*.f64 2 (*.f64 2 (*.f64 (*.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2)) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2)) 1)))))

simplify184.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

2408×	`rational.json-simplify-2`
1728×	`rational.json-simplify-35`
1036×	`rational.json-simplify-41`
998×	`rational.json-simplify-53`
776×	`rational.json-simplify-51`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	94	1188
1	229	1188
2	503	1148
3	1588	1138
4	3469	1138
5	5373	1138
6	5714	1138
7	6048	1138
8	6838	1138
9	7272	1138

Stop Event

1×	node limit

Counts

32 → 53

Calls

Call 1

Inputs
(.f64 1/2 (.f64 (sqrt.f64 2) (pow.f64 y 4)))
(+.f64 (.f64 -5/24 (.f64 (sqrt.f64 2) (pow.f64 y 6))) (.f64 1/2 (.f64 (sqrt.f64 2) (pow.f64 y 4))))
(+.f64 (.f64 -5/24 (.f64 (sqrt.f64 2) (pow.f64 y 6))) (+.f64 (.f64 3/80 (.f64 (sqrt.f64 2) (pow.f64 y 8))) (.f64 1/2 (.f64 (sqrt.f64 2) (pow.f64 y 4)))))
(+.f64 (.f64 -5/24 (.f64 (sqrt.f64 2) (pow.f64 y 6))) (+.f64 (.f64 3/80 (.f64 (sqrt.f64 2) (pow.f64 y 8))) (+.f64 (.f64 -95/24192 (.f64 (sqrt.f64 2) (pow.f64 y 10))) (.f64 1/2 (.f64 (sqrt.f64 2) (pow.f64 y 4))))))
(*.f64 1/2 (pow.f64 y 4))
(+.f64 (.f64 -5/24 (pow.f64 y 6)) (.f64 1/2 (pow.f64 y 4)))
(+.f64 (.f64 -5/24 (pow.f64 y 6)) (+.f64 (.f64 3/80 (pow.f64 y 8)) (*.f64 1/2 (pow.f64 y 4))))
(+.f64 (.f64 -95/24192 (pow.f64 y 10)) (+.f64 (.f64 -5/24 (pow.f64 y 6)) (+.f64 (.f64 3/80 (pow.f64 y 8)) (.f64 1/2 (pow.f64 y 4)))))
(+.f64 (.f64 (pow.f64 (sin.f64 y) 2) (.f64 (sqrt.f64 2) (-.f64 1 (cos.f64 y)))) 0)
(+.f64 0 (.f64 (pow.f64 (sin.f64 y) 2) (.f64 (sqrt.f64 2) (-.f64 1 (cos.f64 y)))))
(+.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 y) 2) (.f64 (-.f64 1 (cos.f64 y)) 1/2))) (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 y) 2) (.f64 (-.f64 1 (cos.f64 y)) 1/2))))
(-.f64 (.f64 (pow.f64 (sin.f64 y) 2) (.f64 (sqrt.f64 2) (-.f64 1 (cos.f64 y)))) 0)
(/.f64 (.f64 (pow.f64 (sin.f64 y) 2) (.f64 (sqrt.f64 2) (-.f64 1 (cos.f64 y)))) 1)
(/.f64 (.f64 2 (.f64 (pow.f64 (sin.f64 y) 2) (*.f64 (sqrt.f64 2) (-.f64 1 (cos.f64 y))))) 2)
(/.f64 (.f64 (pow.f64 (sin.f64 y) 2) (.f64 (sqrt.f64 2) (*.f64 (-.f64 1 (cos.f64 y)) 4))) 4)
(/.f64 (.f64 (.f64 (pow.f64 (sin.f64 y) 2) (*.f64 (sqrt.f64 2) (-.f64 1 (cos.f64 y)))) 8) 8)
(/.f64 (.f64 2 (.f64 (.f64 (pow.f64 (sin.f64 y) 2) (.f64 (sqrt.f64 2) (-.f64 1 (cos.f64 y)))) 8)) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 (.f64 (pow.f64 (sin.f64 y) 2) (*.f64 (sqrt.f64 2) (-.f64 1 (cos.f64 y)))) 8))) 32)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (.f64 (pow.f64 (sin.f64 y) 2) (.f64 (sqrt.f64 2) (-.f64 1 (cos.f64 y)))) 8))) (.f64 2 (.f64 2 (.f64 (.f64 (pow.f64 (sin.f64 y) 2) (.f64 (sqrt.f64 2) (-.f64 1 (cos.f64 y)))) 8)))) 64)
(pow.f64 (.f64 (pow.f64 (sin.f64 y) 2) (.f64 (sqrt.f64 2) (-.f64 1 (cos.f64 y)))) 1)
(+.f64 (*.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2)) 0)
(+.f64 0 (*.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2)))
(+.f64 (.f64 (pow.f64 (sin.f64 y) 2) (.f64 (-.f64 1 (cos.f64 y)) 1/2)) (.f64 (pow.f64 (sin.f64 y) 2) (.f64 (-.f64 1 (cos.f64 y)) 1/2)))
(-.f64 (*.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2)) 0)
(/.f64 (*.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2)) 1)
(/.f64 (.f64 2 (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2))) 2)
(/.f64 (.f64 (-.f64 1 (cos.f64 y)) (.f64 (pow.f64 (sin.f64 y) 2) 4)) 4)
(/.f64 (.f64 (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2)) 8) 8)
(/.f64 (.f64 2 (.f64 (*.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2)) 8)) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2)) 8))) 32)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2)) 8))) (.f64 2 (.f64 2 (.f64 (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2)) 8)))) 64)
(pow.f64 (*.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2)) 1)

Outputs
(.f64 1/2 (.f64 (sqrt.f64 2) (pow.f64 y 4)))
(+.f64 (.f64 -5/24 (.f64 (sqrt.f64 2) (pow.f64 y 6))) (.f64 1/2 (.f64 (sqrt.f64 2) (pow.f64 y 4))))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 2) (pow.f64 y 4))) (.f64 (sqrt.f64 2) (.f64 -5/24 (pow.f64 y 6))))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 2) (pow.f64 y 4))) (.f64 (pow.f64 y 6) (.f64 (sqrt.f64 2) -5/24)))
(.f64 (sqrt.f64 2) (+.f64 (.f64 1/2 (pow.f64 y 4)) (*.f64 -5/24 (pow.f64 y 6))))
(+.f64 (.f64 -5/24 (.f64 (sqrt.f64 2) (pow.f64 y 6))) (+.f64 (.f64 3/80 (.f64 (sqrt.f64 2) (pow.f64 y 8))) (.f64 1/2 (.f64 (sqrt.f64 2) (pow.f64 y 4)))))
(+.f64 (.f64 (sqrt.f64 2) (.f64 -5/24 (pow.f64 y 6))) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 2) (pow.f64 y 4))) (.f64 (sqrt.f64 2) (.f64 3/80 (pow.f64 y 8)))))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 2) (pow.f64 y 4))) (+.f64 (.f64 (pow.f64 y 8) (.f64 (sqrt.f64 2) 3/80)) (.f64 (pow.f64 y 6) (.f64 (sqrt.f64 2) -5/24))))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 2) (pow.f64 y 4))) (.f64 (sqrt.f64 2) (+.f64 (.f64 -5/24 (pow.f64 y 6)) (*.f64 3/80 (pow.f64 y 8)))))
(.f64 (sqrt.f64 2) (+.f64 (.f64 1/2 (pow.f64 y 4)) (+.f64 (.f64 -5/24 (pow.f64 y 6)) (.f64 3/80 (pow.f64 y 8)))))
(+.f64 (.f64 -5/24 (.f64 (sqrt.f64 2) (pow.f64 y 6))) (+.f64 (.f64 3/80 (.f64 (sqrt.f64 2) (pow.f64 y 8))) (+.f64 (.f64 -95/24192 (.f64 (sqrt.f64 2) (pow.f64 y 10))) (.f64 1/2 (.f64 (sqrt.f64 2) (pow.f64 y 4))))))
(+.f64 (.f64 (sqrt.f64 2) (.f64 -5/24 (pow.f64 y 6))) (+.f64 (.f64 (sqrt.f64 2) (.f64 3/80 (pow.f64 y 8))) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 2) (pow.f64 y 4))) (.f64 (sqrt.f64 2) (.f64 -95/24192 (pow.f64 y 10))))))
(+.f64 (.f64 (pow.f64 y 6) (.f64 (sqrt.f64 2) -5/24)) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 2) (pow.f64 y 4))) (+.f64 (.f64 (pow.f64 y 10) (.f64 -95/24192 (sqrt.f64 2))) (.f64 (pow.f64 y 8) (.f64 (sqrt.f64 2) 3/80)))))
(+.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 1/2 (pow.f64 y 4)) (.f64 -5/24 (pow.f64 y 6)))) (.f64 (sqrt.f64 2) (+.f64 (.f64 3/80 (pow.f64 y 8)) (.f64 -95/24192 (pow.f64 y 10)))))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 2) (pow.f64 y 4))) (.f64 (sqrt.f64 2) (+.f64 (.f64 -5/24 (pow.f64 y 6)) (+.f64 (.f64 3/80 (pow.f64 y 8)) (.f64 -95/24192 (pow.f64 y 10))))))
(*.f64 1/2 (pow.f64 y 4))
(+.f64 (.f64 -5/24 (pow.f64 y 6)) (.f64 1/2 (pow.f64 y 4)))
(+.f64 (.f64 1/2 (pow.f64 y 4)) (.f64 -5/24 (pow.f64 y 6)))
(+.f64 (.f64 -5/24 (pow.f64 y 6)) (+.f64 (.f64 3/80 (pow.f64 y 8)) (*.f64 1/2 (pow.f64 y 4))))
(+.f64 (.f64 -5/24 (pow.f64 y 6)) (+.f64 (.f64 1/2 (pow.f64 y 4)) (*.f64 3/80 (pow.f64 y 8))))
(+.f64 (.f64 1/2 (pow.f64 y 4)) (+.f64 (.f64 -5/24 (pow.f64 y 6)) (*.f64 3/80 (pow.f64 y 8))))
(+.f64 (.f64 -95/24192 (pow.f64 y 10)) (+.f64 (.f64 -5/24 (pow.f64 y 6)) (+.f64 (.f64 3/80 (pow.f64 y 8)) (.f64 1/2 (pow.f64 y 4)))))
(+.f64 (.f64 -5/24 (pow.f64 y 6)) (+.f64 (+.f64 (.f64 1/2 (pow.f64 y 4)) (.f64 3/80 (pow.f64 y 8))) (.f64 -95/24192 (pow.f64 y 10))))
(+.f64 (.f64 -5/24 (pow.f64 y 6)) (+.f64 (.f64 1/2 (pow.f64 y 4)) (+.f64 (.f64 3/80 (pow.f64 y 8)) (.f64 -95/24192 (pow.f64 y 10)))))
(+.f64 (.f64 1/2 (pow.f64 y 4)) (+.f64 (.f64 -5/24 (pow.f64 y 6)) (+.f64 (.f64 3/80 (pow.f64 y 8)) (.f64 -95/24192 (pow.f64 y 10)))))
(+.f64 (.f64 (pow.f64 (sin.f64 y) 2) (.f64 (sqrt.f64 2) (-.f64 1 (cos.f64 y)))) 0)
(.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 y) 2) (-.f64 1 (cos.f64 y))))
(.f64 (pow.f64 (sin.f64 y) 2) (.f64 (sqrt.f64 2) (-.f64 1 (cos.f64 y))))
(.f64 (-.f64 1 (cos.f64 y)) (.f64 (sqrt.f64 2) (pow.f64 (sin.f64 y) 2)))
(+.f64 0 (.f64 (pow.f64 (sin.f64 y) 2) (.f64 (sqrt.f64 2) (-.f64 1 (cos.f64 y)))))
(.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 y) 2) (-.f64 1 (cos.f64 y))))
(.f64 (pow.f64 (sin.f64 y) 2) (.f64 (sqrt.f64 2) (-.f64 1 (cos.f64 y))))
(.f64 (-.f64 1 (cos.f64 y)) (.f64 (sqrt.f64 2) (pow.f64 (sin.f64 y) 2)))
(+.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 y) 2) (.f64 (-.f64 1 (cos.f64 y)) 1/2))) (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 y) 2) (.f64 (-.f64 1 (cos.f64 y)) 1/2))))
(.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 y) 2) (-.f64 1 (cos.f64 y))))
(.f64 (pow.f64 (sin.f64 y) 2) (.f64 (sqrt.f64 2) (-.f64 1 (cos.f64 y))))
(.f64 (-.f64 1 (cos.f64 y)) (.f64 (sqrt.f64 2) (pow.f64 (sin.f64 y) 2)))
(-.f64 (.f64 (pow.f64 (sin.f64 y) 2) (.f64 (sqrt.f64 2) (-.f64 1 (cos.f64 y)))) 0)
(.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 y) 2) (-.f64 1 (cos.f64 y))))
(.f64 (pow.f64 (sin.f64 y) 2) (.f64 (sqrt.f64 2) (-.f64 1 (cos.f64 y))))
(.f64 (-.f64 1 (cos.f64 y)) (.f64 (sqrt.f64 2) (pow.f64 (sin.f64 y) 2)))
(/.f64 (.f64 (pow.f64 (sin.f64 y) 2) (.f64 (sqrt.f64 2) (-.f64 1 (cos.f64 y)))) 1)
(.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 y) 2) (-.f64 1 (cos.f64 y))))
(.f64 (pow.f64 (sin.f64 y) 2) (.f64 (sqrt.f64 2) (-.f64 1 (cos.f64 y))))
(.f64 (-.f64 1 (cos.f64 y)) (.f64 (sqrt.f64 2) (pow.f64 (sin.f64 y) 2)))
(/.f64 (.f64 2 (.f64 (pow.f64 (sin.f64 y) 2) (*.f64 (sqrt.f64 2) (-.f64 1 (cos.f64 y))))) 2)
(.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 y) 2) (-.f64 1 (cos.f64 y))))
(.f64 (pow.f64 (sin.f64 y) 2) (.f64 (sqrt.f64 2) (-.f64 1 (cos.f64 y))))
(.f64 (-.f64 1 (cos.f64 y)) (.f64 (sqrt.f64 2) (pow.f64 (sin.f64 y) 2)))
(/.f64 (.f64 (pow.f64 (sin.f64 y) 2) (.f64 (sqrt.f64 2) (*.f64 (-.f64 1 (cos.f64 y)) 4))) 4)
(.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 y) 2) (-.f64 1 (cos.f64 y))))
(.f64 (pow.f64 (sin.f64 y) 2) (.f64 (sqrt.f64 2) (-.f64 1 (cos.f64 y))))
(.f64 (-.f64 1 (cos.f64 y)) (.f64 (sqrt.f64 2) (pow.f64 (sin.f64 y) 2)))
(/.f64 (.f64 (.f64 (pow.f64 (sin.f64 y) 2) (*.f64 (sqrt.f64 2) (-.f64 1 (cos.f64 y)))) 8) 8)
(.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 y) 2) (-.f64 1 (cos.f64 y))))
(.f64 (pow.f64 (sin.f64 y) 2) (.f64 (sqrt.f64 2) (-.f64 1 (cos.f64 y))))
(.f64 (-.f64 1 (cos.f64 y)) (.f64 (sqrt.f64 2) (pow.f64 (sin.f64 y) 2)))
(/.f64 (.f64 2 (.f64 (.f64 (pow.f64 (sin.f64 y) 2) (.f64 (sqrt.f64 2) (-.f64 1 (cos.f64 y)))) 8)) 16)
(.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 y) 2) (-.f64 1 (cos.f64 y))))
(.f64 (pow.f64 (sin.f64 y) 2) (.f64 (sqrt.f64 2) (-.f64 1 (cos.f64 y))))
(.f64 (-.f64 1 (cos.f64 y)) (.f64 (sqrt.f64 2) (pow.f64 (sin.f64 y) 2)))
(/.f64 (.f64 2 (.f64 2 (.f64 (.f64 (pow.f64 (sin.f64 y) 2) (*.f64 (sqrt.f64 2) (-.f64 1 (cos.f64 y)))) 8))) 32)
(.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 y) 2) (-.f64 1 (cos.f64 y))))
(.f64 (pow.f64 (sin.f64 y) 2) (.f64 (sqrt.f64 2) (-.f64 1 (cos.f64 y))))
(.f64 (-.f64 1 (cos.f64 y)) (.f64 (sqrt.f64 2) (pow.f64 (sin.f64 y) 2)))
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (.f64 (pow.f64 (sin.f64 y) 2) (.f64 (sqrt.f64 2) (-.f64 1 (cos.f64 y)))) 8))) (.f64 2 (.f64 2 (.f64 (.f64 (pow.f64 (sin.f64 y) 2) (.f64 (sqrt.f64 2) (-.f64 1 (cos.f64 y)))) 8)))) 64)
(.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 y) 2) (-.f64 1 (cos.f64 y))))
(.f64 (pow.f64 (sin.f64 y) 2) (.f64 (sqrt.f64 2) (-.f64 1 (cos.f64 y))))
(.f64 (-.f64 1 (cos.f64 y)) (.f64 (sqrt.f64 2) (pow.f64 (sin.f64 y) 2)))
(pow.f64 (.f64 (pow.f64 (sin.f64 y) 2) (.f64 (sqrt.f64 2) (-.f64 1 (cos.f64 y)))) 1)
(.f64 (sqrt.f64 2) (.f64 (pow.f64 (sin.f64 y) 2) (-.f64 1 (cos.f64 y))))
(.f64 (pow.f64 (sin.f64 y) 2) (.f64 (sqrt.f64 2) (-.f64 1 (cos.f64 y))))
(.f64 (-.f64 1 (cos.f64 y)) (.f64 (sqrt.f64 2) (pow.f64 (sin.f64 y) 2)))
(+.f64 (*.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2)) 0)
(*.f64 (pow.f64 (sin.f64 y) 2) (-.f64 1 (cos.f64 y)))
(+.f64 0 (*.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2)))
(*.f64 (pow.f64 (sin.f64 y) 2) (-.f64 1 (cos.f64 y)))
(+.f64 (.f64 (pow.f64 (sin.f64 y) 2) (.f64 (-.f64 1 (cos.f64 y)) 1/2)) (.f64 (pow.f64 (sin.f64 y) 2) (.f64 (-.f64 1 (cos.f64 y)) 1/2)))
(*.f64 (pow.f64 (sin.f64 y) 2) (-.f64 1 (cos.f64 y)))
(-.f64 (*.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2)) 0)
(*.f64 (pow.f64 (sin.f64 y) 2) (-.f64 1 (cos.f64 y)))
(/.f64 (*.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2)) 1)
(*.f64 (pow.f64 (sin.f64 y) 2) (-.f64 1 (cos.f64 y)))
(/.f64 (.f64 2 (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2))) 2)
(*.f64 (pow.f64 (sin.f64 y) 2) (-.f64 1 (cos.f64 y)))
(/.f64 (.f64 (-.f64 1 (cos.f64 y)) (.f64 (pow.f64 (sin.f64 y) 2) 4)) 4)
(*.f64 (pow.f64 (sin.f64 y) 2) (-.f64 1 (cos.f64 y)))
(/.f64 (.f64 (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2)) 8) 8)
(*.f64 (pow.f64 (sin.f64 y) 2) (-.f64 1 (cos.f64 y)))
(/.f64 (.f64 2 (.f64 (*.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2)) 8)) 16)
(*.f64 (pow.f64 (sin.f64 y) 2) (-.f64 1 (cos.f64 y)))
(/.f64 (.f64 2 (.f64 2 (.f64 (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2)) 8))) 32)
(*.f64 (pow.f64 (sin.f64 y) 2) (-.f64 1 (cos.f64 y)))
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2)) 8))) (.f64 2 (.f64 2 (.f64 (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2)) 8)))) 64)
(*.f64 (pow.f64 (sin.f64 y) 2) (-.f64 1 (cos.f64 y)))
(pow.f64 (*.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2)) 1)
(*.f64 (pow.f64 (sin.f64 y) 2) (-.f64 1 (cos.f64 y)))

localize158.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.3b	(*.f64 (cos.f64 x) (/.f64 (+.f64 (sqrt.f64 5) -1) 2))
	1.0b	(-.f64 3 (sqrt.f64 5))
	2.3b	(+.f64 (cos.f64 x) -1)
✓	7.2b	(*.f64 (pow.f64 y 2) (+.f64 (cos.f64 x) -1))

Compiler

Compiled 203 to 163 computations (19.7% saved)

series7.0ms (0%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
5.0ms	x	@	-inf	(*.f64 (pow.f64 y 2) (+.f64 (cos.f64 x) -1))
1.0ms	y	@	0	(*.f64 (pow.f64 y 2) (+.f64 (cos.f64 x) -1))
0.0ms	x	@	inf	(*.f64 (pow.f64 y 2) (+.f64 (cos.f64 x) -1))
0.0ms	x	@	0	(*.f64 (pow.f64 y 2) (+.f64 (cos.f64 x) -1))
0.0ms	y	@	inf	(*.f64 (pow.f64 y 2) (+.f64 (cos.f64 x) -1))

rewrite106.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1384×	`exponential.json-3`
1384×	`rational.json-1`
1384×	`rational.json-2`
1384×	`rational.json-4`
1384×	`rational.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	23
1	76	23
2	159	23
3	306	23
4	607	23
5	1381	23
6	3013	23
7	5064	23
8	6583	23

Stop Event

1×	node limit

Counts

1 → 13

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 y 2) (+.f64 (cos.f64 x) -1)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (pow.f64 y 2) (+.f64 (cos.f64 x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 y 2) (*.f64 (+.f64 (cos.f64 x) -1) 1/2)) (*.f64 (pow.f64 y 2) (*.f64 (+.f64 (cos.f64 x) -1) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (pow.f64 y 2) (+.f64 (cos.f64 x) -1)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 y 2) (+.f64 (cos.f64 x) -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (pow.f64 y 2) (+.f64 (cos.f64 x) -1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 y 2) (*.f64 (+.f64 (cos.f64 x) -1) 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (cos.f64 x) -1) (*.f64 (pow.f64 y 2) 8)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (+.f64 (cos.f64 x) -1) (*.f64 (pow.f64 y 2) 8))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (cos.f64 x) -1) (*.f64 (pow.f64 y 2) 8)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (cos.f64 x) -1) (*.f64 (pow.f64 y 2) 8))))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (cos.f64 x) -1) (*.f64 (pow.f64 y 2) 8)))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 y 2) (+.f64 (cos.f64 x) -1)) 1)))))

simplify4.6s (8.1%)

Algorithm

1×	egg-herbie

Rules

1936×	`rational.json-simplify-35`
1840×	`rational.json-simplify-2`
1348×	`exponential.json-simplify-26`
1196×	`rational.json-simplify-53`
1130×	`rational.json-simplify-1`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	67	1015
1	167	1015
2	319	979
3	674	967
4	2491	967
5	4105	967
6	4610	967
7	4798	967
8	4995	967
9	5218	967
10	6141	967
11	7260	967
12	7719	967
13	7874	967
14	7993	967
15	7999	967
16	7999	967

Stop Event

1×	node limit

Counts

37 → 33

Calls

Call 1

Inputs
(*.f64 (pow.f64 y 2) (-.f64 (cos.f64 x) 1))
(*.f64 (pow.f64 y 2) (-.f64 (cos.f64 x) 1))
(*.f64 (pow.f64 y 2) (-.f64 (cos.f64 x) 1))
(*.f64 (pow.f64 y 2) (-.f64 (cos.f64 x) 1))
(*.f64 (pow.f64 y 2) (-.f64 (cos.f64 x) 1))
(*.f64 (pow.f64 y 2) (-.f64 (cos.f64 x) 1))
(*.f64 (pow.f64 y 2) (-.f64 (cos.f64 x) 1))
(*.f64 (pow.f64 y 2) (-.f64 (cos.f64 x) 1))
(*.f64 (pow.f64 y 2) (-.f64 (cos.f64 x) 1))
(*.f64 (pow.f64 y 2) (-.f64 (cos.f64 x) 1))
(*.f64 (pow.f64 y 2) (-.f64 (cos.f64 x) 1))
(*.f64 (pow.f64 y 2) (-.f64 (cos.f64 x) 1))
(.f64 -1/2 (.f64 (pow.f64 y 2) (pow.f64 x 2)))
(+.f64 (.f64 1/24 (.f64 (pow.f64 y 2) (pow.f64 x 4))) (.f64 -1/2 (.f64 (pow.f64 y 2) (pow.f64 x 2))))
(+.f64 (.f64 1/24 (.f64 (pow.f64 y 2) (pow.f64 x 4))) (+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) (pow.f64 x 2))) (.f64 -1/720 (.f64 (pow.f64 y 2) (pow.f64 x 6)))))
(+.f64 (.f64 1/40320 (.f64 (pow.f64 y 2) (pow.f64 x 8))) (+.f64 (.f64 1/24 (.f64 (pow.f64 y 2) (pow.f64 x 4))) (+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) (pow.f64 x 2))) (.f64 -1/720 (.f64 (pow.f64 y 2) (pow.f64 x 6))))))
(*.f64 (pow.f64 y 2) (-.f64 (cos.f64 x) 1))
(*.f64 (pow.f64 y 2) (-.f64 (cos.f64 x) 1))
(*.f64 (pow.f64 y 2) (-.f64 (cos.f64 x) 1))
(*.f64 (pow.f64 y 2) (-.f64 (cos.f64 x) 1))
(*.f64 (pow.f64 y 2) (-.f64 (cos.f64 x) 1))
(*.f64 (pow.f64 y 2) (-.f64 (cos.f64 x) 1))
(*.f64 (pow.f64 y 2) (-.f64 (cos.f64 x) 1))
(*.f64 (pow.f64 y 2) (-.f64 (cos.f64 x) 1))
(+.f64 (*.f64 (pow.f64 y 2) (+.f64 (cos.f64 x) -1)) 0)
(+.f64 0 (*.f64 (pow.f64 y 2) (+.f64 (cos.f64 x) -1)))
(+.f64 (.f64 (pow.f64 y 2) (.f64 (+.f64 (cos.f64 x) -1) 1/2)) (.f64 (pow.f64 y 2) (.f64 (+.f64 (cos.f64 x) -1) 1/2)))
(-.f64 (*.f64 (pow.f64 y 2) (+.f64 (cos.f64 x) -1)) 0)
(/.f64 (*.f64 (pow.f64 y 2) (+.f64 (cos.f64 x) -1)) 1)
(/.f64 (.f64 2 (.f64 (pow.f64 y 2) (+.f64 (cos.f64 x) -1))) 2)
(/.f64 (.f64 (pow.f64 y 2) (.f64 (+.f64 (cos.f64 x) -1) 4)) 4)
(/.f64 (.f64 (+.f64 (cos.f64 x) -1) (.f64 (pow.f64 y 2) 8)) 8)
(/.f64 (.f64 2 (.f64 (+.f64 (cos.f64 x) -1) (*.f64 (pow.f64 y 2) 8))) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (cos.f64 x) -1) (.f64 (pow.f64 y 2) 8)))) 32)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (cos.f64 x) -1) (*.f64 (pow.f64 y 2) 8))))) 64)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (cos.f64 x) -1) (.f64 (pow.f64 y 2) 8)))))) 128)
(pow.f64 (*.f64 (pow.f64 y 2) (+.f64 (cos.f64 x) -1)) 1)

Outputs
(*.f64 (pow.f64 y 2) (-.f64 (cos.f64 x) 1))
(*.f64 (pow.f64 y 2) (+.f64 (cos.f64 x) -1))
(*.f64 (pow.f64 y 2) (-.f64 (cos.f64 x) 1))
(*.f64 (pow.f64 y 2) (+.f64 (cos.f64 x) -1))
(*.f64 (pow.f64 y 2) (-.f64 (cos.f64 x) 1))
(*.f64 (pow.f64 y 2) (+.f64 (cos.f64 x) -1))
(*.f64 (pow.f64 y 2) (-.f64 (cos.f64 x) 1))
(*.f64 (pow.f64 y 2) (+.f64 (cos.f64 x) -1))
(*.f64 (pow.f64 y 2) (-.f64 (cos.f64 x) 1))
(*.f64 (pow.f64 y 2) (+.f64 (cos.f64 x) -1))
(*.f64 (pow.f64 y 2) (-.f64 (cos.f64 x) 1))
(*.f64 (pow.f64 y 2) (+.f64 (cos.f64 x) -1))
(*.f64 (pow.f64 y 2) (-.f64 (cos.f64 x) 1))
(*.f64 (pow.f64 y 2) (+.f64 (cos.f64 x) -1))
(*.f64 (pow.f64 y 2) (-.f64 (cos.f64 x) 1))
(*.f64 (pow.f64 y 2) (+.f64 (cos.f64 x) -1))
(*.f64 (pow.f64 y 2) (-.f64 (cos.f64 x) 1))
(*.f64 (pow.f64 y 2) (+.f64 (cos.f64 x) -1))
(*.f64 (pow.f64 y 2) (-.f64 (cos.f64 x) 1))
(*.f64 (pow.f64 y 2) (+.f64 (cos.f64 x) -1))
(*.f64 (pow.f64 y 2) (-.f64 (cos.f64 x) 1))
(*.f64 (pow.f64 y 2) (+.f64 (cos.f64 x) -1))
(*.f64 (pow.f64 y 2) (-.f64 (cos.f64 x) 1))
(*.f64 (pow.f64 y 2) (+.f64 (cos.f64 x) -1))
(.f64 -1/2 (.f64 (pow.f64 y 2) (pow.f64 x 2)))
(.f64 -1/2 (pow.f64 (.f64 y x) 2))
(+.f64 (.f64 1/24 (.f64 (pow.f64 y 2) (pow.f64 x 4))) (.f64 -1/2 (.f64 (pow.f64 y 2) (pow.f64 x 2))))
(+.f64 (.f64 -1/2 (pow.f64 (.f64 y x) 2)) (.f64 1/24 (.f64 (pow.f64 y 2) (pow.f64 x 4))))
(+.f64 (.f64 -1/2 (pow.f64 (.f64 y x) 2)) (.f64 (pow.f64 y 2) (.f64 1/24 (pow.f64 x 4))))
(.f64 (pow.f64 y 2) (+.f64 (.f64 1/24 (pow.f64 x 4)) (*.f64 -1/2 (pow.f64 x 2))))
(.f64 (pow.f64 y 2) (+.f64 (.f64 -1/2 (pow.f64 x 2)) (*.f64 1/24 (pow.f64 x 4))))
(+.f64 (.f64 1/24 (.f64 (pow.f64 y 2) (pow.f64 x 4))) (+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) (pow.f64 x 2))) (.f64 -1/720 (.f64 (pow.f64 y 2) (pow.f64 x 6)))))
(+.f64 (.f64 -1/2 (pow.f64 (.f64 y x) 2)) (+.f64 (.f64 (pow.f64 y 2) (.f64 (pow.f64 x 6) -1/720)) (.f64 1/24 (.f64 (pow.f64 y 2) (pow.f64 x 4)))))
(+.f64 (.f64 (pow.f64 y 2) (.f64 -1/720 (pow.f64 x 6))) (+.f64 (.f64 -1/2 (pow.f64 (.f64 y x) 2)) (.f64 (pow.f64 y 2) (.f64 1/24 (pow.f64 x 4)))))
(+.f64 (.f64 -1/2 (pow.f64 (.f64 y x) 2)) (.f64 (pow.f64 y 2) (+.f64 (.f64 -1/720 (pow.f64 x 6)) (*.f64 1/24 (pow.f64 x 4)))))
(.f64 (pow.f64 y 2) (+.f64 (.f64 -1/720 (pow.f64 x 6)) (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 1/24 (pow.f64 x 4)))))
(.f64 (pow.f64 y 2) (+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/720 (pow.f64 x 6)) (.f64 1/24 (pow.f64 x 4)))))
(+.f64 (.f64 1/40320 (.f64 (pow.f64 y 2) (pow.f64 x 8))) (+.f64 (.f64 1/24 (.f64 (pow.f64 y 2) (pow.f64 x 4))) (+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) (pow.f64 x 2))) (.f64 -1/720 (.f64 (pow.f64 y 2) (pow.f64 x 6))))))
(+.f64 (.f64 1/24 (.f64 (pow.f64 y 2) (pow.f64 x 4))) (+.f64 (+.f64 (.f64 -1/2 (pow.f64 (.f64 y x) 2)) (.f64 (pow.f64 y 2) (.f64 (pow.f64 x 6) -1/720))) (.f64 (pow.f64 y 2) (.f64 (pow.f64 x 8) 1/40320))))
(+.f64 (.f64 -1/2 (pow.f64 (.f64 y x) 2)) (+.f64 (+.f64 (.f64 (pow.f64 y 2) (.f64 1/24 (pow.f64 x 4))) (.f64 (pow.f64 y 2) (.f64 -1/720 (pow.f64 x 6)))) (.f64 (pow.f64 x 8) (.f64 1/40320 (pow.f64 y 2)))))
(+.f64 (.f64 (pow.f64 y 2) (+.f64 (.f64 -1/720 (pow.f64 x 6)) (.f64 -1/2 (pow.f64 x 2)))) (.f64 (pow.f64 y 2) (+.f64 (.f64 1/40320 (pow.f64 x 8)) (.f64 1/24 (pow.f64 x 4)))))
(+.f64 (.f64 -1/2 (pow.f64 (.f64 y x) 2)) (.f64 (pow.f64 y 2) (+.f64 (.f64 1/40320 (pow.f64 x 8)) (+.f64 (.f64 -1/720 (pow.f64 x 6)) (.f64 1/24 (pow.f64 x 4))))))
(*.f64 (pow.f64 y 2) (-.f64 (cos.f64 x) 1))
(*.f64 (pow.f64 y 2) (+.f64 (cos.f64 x) -1))
(*.f64 (pow.f64 y 2) (-.f64 (cos.f64 x) 1))
(*.f64 (pow.f64 y 2) (+.f64 (cos.f64 x) -1))
(*.f64 (pow.f64 y 2) (-.f64 (cos.f64 x) 1))
(*.f64 (pow.f64 y 2) (+.f64 (cos.f64 x) -1))
(*.f64 (pow.f64 y 2) (-.f64 (cos.f64 x) 1))
(*.f64 (pow.f64 y 2) (+.f64 (cos.f64 x) -1))
(*.f64 (pow.f64 y 2) (-.f64 (cos.f64 x) 1))
(*.f64 (pow.f64 y 2) (+.f64 (cos.f64 x) -1))
(*.f64 (pow.f64 y 2) (-.f64 (cos.f64 x) 1))
(*.f64 (pow.f64 y 2) (+.f64 (cos.f64 x) -1))
(*.f64 (pow.f64 y 2) (-.f64 (cos.f64 x) 1))
(*.f64 (pow.f64 y 2) (+.f64 (cos.f64 x) -1))
(*.f64 (pow.f64 y 2) (-.f64 (cos.f64 x) 1))
(*.f64 (pow.f64 y 2) (+.f64 (cos.f64 x) -1))
(+.f64 (*.f64 (pow.f64 y 2) (+.f64 (cos.f64 x) -1)) 0)
(*.f64 (pow.f64 y 2) (+.f64 (cos.f64 x) -1))
(+.f64 0 (*.f64 (pow.f64 y 2) (+.f64 (cos.f64 x) -1)))
(*.f64 (pow.f64 y 2) (+.f64 (cos.f64 x) -1))
(+.f64 (.f64 (pow.f64 y 2) (.f64 (+.f64 (cos.f64 x) -1) 1/2)) (.f64 (pow.f64 y 2) (.f64 (+.f64 (cos.f64 x) -1) 1/2)))
(*.f64 (pow.f64 y 2) (+.f64 (cos.f64 x) -1))
(-.f64 (*.f64 (pow.f64 y 2) (+.f64 (cos.f64 x) -1)) 0)
(*.f64 (pow.f64 y 2) (+.f64 (cos.f64 x) -1))
(/.f64 (*.f64 (pow.f64 y 2) (+.f64 (cos.f64 x) -1)) 1)
(*.f64 (pow.f64 y 2) (+.f64 (cos.f64 x) -1))
(/.f64 (.f64 2 (.f64 (pow.f64 y 2) (+.f64 (cos.f64 x) -1))) 2)
(*.f64 (pow.f64 y 2) (+.f64 (cos.f64 x) -1))
(/.f64 (.f64 (pow.f64 y 2) (.f64 (+.f64 (cos.f64 x) -1) 4)) 4)
(*.f64 (pow.f64 y 2) (+.f64 (cos.f64 x) -1))
(/.f64 (.f64 (+.f64 (cos.f64 x) -1) (.f64 (pow.f64 y 2) 8)) 8)
(*.f64 (pow.f64 y 2) (+.f64 (cos.f64 x) -1))
(/.f64 (.f64 2 (.f64 (+.f64 (cos.f64 x) -1) (*.f64 (pow.f64 y 2) 8))) 16)
(*.f64 (pow.f64 y 2) (+.f64 (cos.f64 x) -1))
(/.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (cos.f64 x) -1) (.f64 (pow.f64 y 2) 8)))) 32)
(*.f64 (pow.f64 y 2) (+.f64 (cos.f64 x) -1))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (cos.f64 x) -1) (*.f64 (pow.f64 y 2) 8))))) 64)
(*.f64 (pow.f64 y 2) (+.f64 (cos.f64 x) -1))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (cos.f64 x) -1) (.f64 (pow.f64 y 2) 8)))))) 128)
(*.f64 (pow.f64 y 2) (+.f64 (cos.f64 x) -1))
(pow.f64 (*.f64 (pow.f64 y 2) (+.f64 (cos.f64 x) -1)) 1)
(*.f64 (pow.f64 y 2) (+.f64 (cos.f64 x) -1))

localize136.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 (sqrt.f64 2) (-.f64 1 (cos.f64 y)))
	0.4b	(+.f64 (*.f64 (cos.f64 y) (-.f64 3 (sqrt.f64 5))) (+.f64 (sqrt.f64 5) -1))
	1.0b	(-.f64 3 (sqrt.f64 5))
	2.6b	(-.f64 1 (cos.f64 y))

Compiler

Compiled 245 to 168 computations (31.4% saved)

series1.0ms (0%)

Counts

1 → 4

Calls

3 calls:

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

rewrite107.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1356×	`rational.json-simplify-35`
1290×	`exponential.json-3`
1290×	`rational.json-1`
1290×	`rational.json-2`
1290×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	21
1	73	21
2	155	21
3	311	21
4	597	21
5	1335	21
6	2831	21
7	4707	21
8	6210	21

Stop Event

1×	node limit

Counts

1 → 13

Calls

Call 1

Inputs
(*.f64 (sqrt.f64 2) (-.f64 1 (cos.f64 y)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 2) (-.f64 1 (cos.f64 y))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (sqrt.f64 2) (-.f64 1 (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (-.f64 1 (cos.f64 y)) (*.f64 (sqrt.f64 2) 1/2)) (*.f64 (-.f64 1 (cos.f64 y)) (*.f64 (sqrt.f64 2) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sqrt.f64 2) (-.f64 1 (cos.f64 y))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 2) (-.f64 1 (cos.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 2) (*.f64 (+.f64 (cos.f64 y) -1) -2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 2) (*.f64 (-.f64 1 (cos.f64 y)) 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 2) (*.f64 (-.f64 1 (cos.f64 y)) 8)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (sqrt.f64 2) (*.f64 (-.f64 1 (cos.f64 y)) 8))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (sqrt.f64 2) (*.f64 (-.f64 1 (cos.f64 y)) 8)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (sqrt.f64 2) (*.f64 (-.f64 1 (cos.f64 y)) 8))))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (sqrt.f64 2) (*.f64 (-.f64 1 (cos.f64 y)) 8)))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 2) (-.f64 1 (cos.f64 y))) 1)))))

simplify373.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1962×	`rational.json-simplify-2`
1926×	`rational.json-simplify-35`
1402×	`rational.json-simplify-53`
1220×	`exponential.json-simplify-26`
962×	`rational.json-simplify-1`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	67	533
1	167	533
2	330	493
3	652	483
4	1923	483
5	3655	483
6	4157	483
7	4376	483
8	4551	483
9	4754	483
10	4966	483
11	6674	483
12	7340	483
13	7432	483
14	7461	483
15	7486	483
16	7496	483

Stop Event

1×	node limit

Counts

17 → 32

Calls

Call 1

Inputs
(.f64 1/2 (.f64 (sqrt.f64 2) (pow.f64 y 2)))
(+.f64 (.f64 -1/24 (.f64 (sqrt.f64 2) (pow.f64 y 4))) (.f64 1/2 (.f64 (sqrt.f64 2) (pow.f64 y 2))))
(+.f64 (.f64 -1/24 (.f64 (sqrt.f64 2) (pow.f64 y 4))) (+.f64 (.f64 1/720 (.f64 (sqrt.f64 2) (pow.f64 y 6))) (.f64 1/2 (.f64 (sqrt.f64 2) (pow.f64 y 2)))))
(+.f64 (.f64 -1/24 (.f64 (sqrt.f64 2) (pow.f64 y 4))) (+.f64 (.f64 -1/40320 (.f64 (sqrt.f64 2) (pow.f64 y 8))) (+.f64 (.f64 1/720 (.f64 (sqrt.f64 2) (pow.f64 y 6))) (.f64 1/2 (.f64 (sqrt.f64 2) (pow.f64 y 2))))))
(+.f64 (*.f64 (sqrt.f64 2) (-.f64 1 (cos.f64 y))) 0)
(+.f64 0 (*.f64 (sqrt.f64 2) (-.f64 1 (cos.f64 y))))
(+.f64 (.f64 (-.f64 1 (cos.f64 y)) (.f64 (sqrt.f64 2) 1/2)) (.f64 (-.f64 1 (cos.f64 y)) (.f64 (sqrt.f64 2) 1/2)))
(-.f64 (*.f64 (sqrt.f64 2) (-.f64 1 (cos.f64 y))) 0)
(/.f64 (*.f64 (sqrt.f64 2) (-.f64 1 (cos.f64 y))) 1)
(/.f64 (.f64 (sqrt.f64 2) (.f64 (+.f64 (cos.f64 y) -1) -2)) 2)
(/.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) 4)) 4)
(/.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) 8)) 8)
(/.f64 (.f64 2 (.f64 (sqrt.f64 2) (*.f64 (-.f64 1 (cos.f64 y)) 8))) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) 8)))) 32)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (sqrt.f64 2) (*.f64 (-.f64 1 (cos.f64 y)) 8))))) 64)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) 8)))))) 128)
(pow.f64 (*.f64 (sqrt.f64 2) (-.f64 1 (cos.f64 y))) 1)

Outputs
(.f64 1/2 (.f64 (sqrt.f64 2) (pow.f64 y 2)))
(.f64 (sqrt.f64 2) (.f64 1/2 (pow.f64 y 2)))
(+.f64 (.f64 -1/24 (.f64 (sqrt.f64 2) (pow.f64 y 4))) (.f64 1/2 (.f64 (sqrt.f64 2) (pow.f64 y 2))))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 2) (pow.f64 y 2))) (.f64 (sqrt.f64 2) (.f64 (pow.f64 y 4) -1/24)))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 2) (pow.f64 y 2))) (.f64 (pow.f64 y 4) (.f64 -1/24 (sqrt.f64 2))))
(.f64 (sqrt.f64 2) (+.f64 (.f64 -1/24 (pow.f64 y 4)) (*.f64 1/2 (pow.f64 y 2))))
(+.f64 (.f64 -1/24 (.f64 (sqrt.f64 2) (pow.f64 y 4))) (+.f64 (.f64 1/720 (.f64 (sqrt.f64 2) (pow.f64 y 6))) (.f64 1/2 (.f64 (sqrt.f64 2) (pow.f64 y 2)))))
(+.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 y 4) -1/24)) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 2) (pow.f64 y 2))) (.f64 1/720 (.f64 (sqrt.f64 2) (pow.f64 y 6)))))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 2) (pow.f64 y 2))) (+.f64 (.f64 (pow.f64 y 6) (.f64 1/720 (sqrt.f64 2))) (.f64 (pow.f64 y 4) (.f64 -1/24 (sqrt.f64 2)))))
(+.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 -1/24 (pow.f64 y 4)) (.f64 1/2 (pow.f64 y 2)))) (.f64 (pow.f64 y 6) (*.f64 (sqrt.f64 2) 1/720)))
(.f64 (sqrt.f64 2) (+.f64 (.f64 -1/24 (pow.f64 y 4)) (+.f64 (.f64 1/720 (pow.f64 y 6)) (.f64 1/2 (pow.f64 y 2)))))
(.f64 (sqrt.f64 2) (+.f64 (.f64 1/720 (pow.f64 y 6)) (+.f64 (.f64 -1/24 (pow.f64 y 4)) (.f64 1/2 (pow.f64 y 2)))))
(+.f64 (.f64 -1/24 (.f64 (sqrt.f64 2) (pow.f64 y 4))) (+.f64 (.f64 -1/40320 (.f64 (sqrt.f64 2) (pow.f64 y 8))) (+.f64 (.f64 1/720 (.f64 (sqrt.f64 2) (pow.f64 y 6))) (.f64 1/2 (.f64 (sqrt.f64 2) (pow.f64 y 2))))))
(+.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 y 4) -1/24)) (+.f64 (.f64 1/720 (.f64 (sqrt.f64 2) (pow.f64 y 6))) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 2) (pow.f64 y 2))) (.f64 -1/40320 (.f64 (sqrt.f64 2) (pow.f64 y 8))))))
(+.f64 (.f64 (pow.f64 y 4) (.f64 -1/24 (sqrt.f64 2))) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 2) (pow.f64 y 2))) (+.f64 (.f64 (pow.f64 y 6) (.f64 1/720 (sqrt.f64 2))) (.f64 (pow.f64 y 8) (.f64 -1/40320 (sqrt.f64 2))))))
(+.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 -1/24 (pow.f64 y 4)) (.f64 1/2 (pow.f64 y 2)))) (.f64 (sqrt.f64 2) (+.f64 (.f64 -1/40320 (pow.f64 y 8)) (.f64 1/720 (pow.f64 y 6)))))
(+.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 -1/24 (pow.f64 y 4)) (.f64 1/2 (pow.f64 y 2)))) (.f64 (sqrt.f64 2) (+.f64 (.f64 1/720 (pow.f64 y 6)) (.f64 -1/40320 (pow.f64 y 8)))))
(+.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 1/720 (pow.f64 y 6)) (+.f64 (.f64 -1/24 (pow.f64 y 4)) (.f64 1/2 (pow.f64 y 2))))) (.f64 (sqrt.f64 2) (.f64 -1/40320 (pow.f64 y 8))))
(+.f64 (*.f64 (sqrt.f64 2) (-.f64 1 (cos.f64 y))) 0)
(*.f64 (sqrt.f64 2) (-.f64 1 (cos.f64 y)))
(+.f64 0 (*.f64 (sqrt.f64 2) (-.f64 1 (cos.f64 y))))
(*.f64 (sqrt.f64 2) (-.f64 1 (cos.f64 y)))
(+.f64 (.f64 (-.f64 1 (cos.f64 y)) (.f64 (sqrt.f64 2) 1/2)) (.f64 (-.f64 1 (cos.f64 y)) (.f64 (sqrt.f64 2) 1/2)))
(*.f64 (sqrt.f64 2) (-.f64 1 (cos.f64 y)))
(-.f64 (*.f64 (sqrt.f64 2) (-.f64 1 (cos.f64 y))) 0)
(*.f64 (sqrt.f64 2) (-.f64 1 (cos.f64 y)))
(/.f64 (*.f64 (sqrt.f64 2) (-.f64 1 (cos.f64 y))) 1)
(*.f64 (sqrt.f64 2) (-.f64 1 (cos.f64 y)))
(/.f64 (.f64 (sqrt.f64 2) (.f64 (+.f64 (cos.f64 y) -1) -2)) 2)
(*.f64 (sqrt.f64 2) (-.f64 1 (cos.f64 y)))
(/.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) 4)) 4)
(*.f64 (sqrt.f64 2) (-.f64 1 (cos.f64 y)))
(/.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) 8)) 8)
(*.f64 (sqrt.f64 2) (-.f64 1 (cos.f64 y)))
(/.f64 (.f64 2 (.f64 (sqrt.f64 2) (*.f64 (-.f64 1 (cos.f64 y)) 8))) 16)
(*.f64 (sqrt.f64 2) (-.f64 1 (cos.f64 y)))
(/.f64 (.f64 2 (.f64 2 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) 8)))) 32)
(*.f64 (sqrt.f64 2) (-.f64 1 (cos.f64 y)))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (sqrt.f64 2) (*.f64 (-.f64 1 (cos.f64 y)) 8))))) 64)
(*.f64 (sqrt.f64 2) (-.f64 1 (cos.f64 y)))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) 8)))))) 128)
(*.f64 (sqrt.f64 2) (-.f64 1 (cos.f64 y)))
(pow.f64 (*.f64 (sqrt.f64 2) (-.f64 1 (cos.f64 y))) 1)
(*.f64 (sqrt.f64 2) (-.f64 1 (cos.f64 y)))

localize165.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (+.f64 (sin.f64 x) (.f64 -1/16 y))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (*.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
✓	0.4b	(.f64 (sqrt.f64 2) (+.f64 (sin.f64 x) (.f64 -1/16 y)))
	1.0b	(-.f64 3 (sqrt.f64 5))
	2.3b	(-.f64 (cos.f64 x) (cos.f64 y))

Compiler

Compiled 263 to 179 computations (31.9% saved)

series72.0ms (0.1%)

Counts

2 → 40

Calls

12 calls:

Time	Variable		Point	Expression
60.0ms	y	@	inf	(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (+.f64 (sin.f64 x) (.f64 -1/16 y))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (*.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
2.0ms	y	@	-inf	(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (+.f64 (sin.f64 x) (.f64 -1/16 y))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (*.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
2.0ms	x	@	inf	(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (+.f64 (sin.f64 x) (.f64 -1/16 y))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (*.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
2.0ms	x	@	-inf	(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (+.f64 (sin.f64 x) (.f64 -1/16 y))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (*.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
2.0ms	x	@	0	(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (+.f64 (sin.f64 x) (.f64 -1/16 y))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (*.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))

rewrite106.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1864×	`rational.json-1`
1454×	`rational.json-simplify-35`
1120×	`rational.json-simplify-2`
1096×	`exponential.json-3`
1096×	`rational.json-2`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	36	182
1	263	182
2	581	182
3	1428	182
4	3571	176
5	7716	176

Stop Event

1×	node limit

Counts

2 → 51

Calls

Call 1

Inputs

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

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 2) (+.f64 (sin.f64 x) (*.f64 -1/16 y))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (sqrt.f64 2) (+.f64 (sin.f64 x) (*.f64 -1/16 y))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sqrt.f64 2) (+.f64 (sin.f64 x) (*.f64 -1/16 y))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 2) (+.f64 (sin.f64 x) (*.f64 -1/16 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (sqrt.f64 2) (+.f64 (sin.f64 x) (*.f64 -1/16 y)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 2) (*.f64 (+.f64 (sin.f64 x) (*.f64 -1/16 y)) 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (sqrt.f64 2) (*.f64 (+.f64 (sin.f64 x) (*.f64 -1/16 y)) 4))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (sqrt.f64 2) (*.f64 (+.f64 (sin.f64 x) (*.f64 -1/16 y)) 4))) (*.f64 2 (*.f64 (sqrt.f64 2) (*.f64 (+.f64 (sin.f64 x) (*.f64 -1/16 y)) 4)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 2) (+.f64 (sin.f64 x) (*.f64 -1/16 y))) 1)))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 2 (*.f64 (*.f64 (*.f64 (sqrt.f64 2) (+.f64 (sin.f64 x) (*.f64 -1/16 y))) (-.f64 (sin.f64 y) (*.f64 (sin.f64 x) 1/16))) (-.f64 (cos.f64 x) (cos.f64 y)))) (/.f64 1/3 (*.f64 1/2 (+.f64 (+.f64 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) 2) (*.f64 (cos.f64 y) (-.f64 3 (sqrt.f64 5))))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (+.f64 2 (*.f64 (*.f64 (*.f64 (sqrt.f64 2) (+.f64 (sin.f64 x) (*.f64 -1/16 y))) (-.f64 (sin.f64 y) (*.f64 (sin.f64 x) 1/16))) (-.f64 (cos.f64 x) (cos.f64 y)))) (/.f64 1/3 (*.f64 1/2 (+.f64 (+.f64 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) 2) (*.f64 (cos.f64 y) (-.f64 3 (sqrt.f64 5))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (+.f64 2 (*.f64 (*.f64 (*.f64 (sqrt.f64 2) (+.f64 (sin.f64 x) (*.f64 -1/16 y))) (-.f64 (sin.f64 y) (*.f64 (sin.f64 x) 1/16))) (-.f64 (cos.f64 x) (cos.f64 y)))) (/.f64 1/3 (*.f64 1/2 (+.f64 (+.f64 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) 2) (*.f64 (cos.f64 y) (-.f64 3 (sqrt.f64 5))))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (+.f64 2 (*.f64 (*.f64 (*.f64 (sqrt.f64 2) (+.f64 (sin.f64 x) (*.f64 -1/16 y))) (-.f64 (sin.f64 y) (*.f64 (sin.f64 x) 1/16))) (-.f64 (cos.f64 x) (cos.f64 y)))) (*.f64 (*.f64 1/2 (+.f64 (+.f64 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) 2) (*.f64 (cos.f64 y) (-.f64 3 (sqrt.f64 5))))) 6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (/.f64 (*.f64 (+.f64 2 (*.f64 (*.f64 (*.f64 (sqrt.f64 2) (+.f64 (sin.f64 x) (*.f64 -1/16 y))) (-.f64 (sin.f64 y) (*.f64 (sin.f64 x) 1/16))) (-.f64 (cos.f64 x) (cos.f64 y)))) 2/3) (*.f64 1/2 (+.f64 (+.f64 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) 2) (*.f64 (cos.f64 y) (-.f64 3 (sqrt.f64 5)))))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (/.f64 1/6 (*.f64 1/2 (+.f64 (+.f64 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) 2) (*.f64 (cos.f64 y) (-.f64 3 (sqrt.f64 5)))))) (+.f64 2 (*.f64 (*.f64 (*.f64 (sqrt.f64 2) (+.f64 (sin.f64 x) (*.f64 -1/16 y))) (-.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 2 (*.f64 (*.f64 (*.f64 (sqrt.f64 2) (+.f64 (sin.f64 x) (*.f64 -1/16 y))) (-.f64 (sin.f64 y) (*.f64 (sin.f64 x) 1/16))) (-.f64 (cos.f64 x) (cos.f64 y)))) (/.f64 1/3 (*.f64 1/2 (+.f64 (+.f64 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) 2) (*.f64 (cos.f64 y) (-.f64 3 (sqrt.f64 5)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 2 (*.f64 (*.f64 (*.f64 (sqrt.f64 2) (+.f64 (sin.f64 x) (*.f64 -1/16 y))) (-.f64 (sin.f64 y) (*.f64 (sin.f64 x) 1/16))) (-.f64 (cos.f64 x) (cos.f64 y)))) (*.f64 1/3 (/.f64 1 (*.f64 1/2 (+.f64 (+.f64 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) 2) (*.f64 (cos.f64 y) (-.f64 3 (sqrt.f64 5))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (+.f64 2 (*.f64 (*.f64 (*.f64 (sqrt.f64 2) (+.f64 (sin.f64 x) (*.f64 -1/16 y))) (-.f64 (sin.f64 y) (*.f64 (sin.f64 x) 1/16))) (-.f64 (cos.f64 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(sqrt.f64 5)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (/.f64 (*.f64 (+.f64 2 (*.f64 (*.f64 (*.f64 (sqrt.f64 2) (+.f64 (sin.f64 x) (*.f64 -1/16 y))) (-.f64 (sin.f64 y) (*.f64 (sin.f64 x) 1/16))) (-.f64 (cos.f64 x) (cos.f64 y)))) 2/3) (*.f64 1/2 (+.f64 (+.f64 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) 2) (*.f64 (cos.f64 y) (-.f64 3 (sqrt.f64 5)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/3 (*.f64 1/2 (+.f64 (+.f64 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) 2) (*.f64 (cos.f64 y) (-.f64 3 (sqrt.f64 5)))))) (+.f64 2 (*.f64 (*.f64 (*.f64 (sqrt.f64 2) (+.f64 (sin.f64 x) (*.f64 -1/16 y))) (-.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 (neg.f64 (+.f64 2 (*.f64 (*.f64 (*.f64 (sqrt.f64 2) (+.f64 (sin.f64 x) (*.f64 -1/16 y))) (-.f64 (sin.f64 y) (*.f64 (sin.f64 x) 1/16))) (-.f64 (cos.f64 x) (cos.f64 y))))) (/.f64 -1 (*.f64 3 (*.f64 1/2 (+.f64 (+.f64 (*.f64 (cos.f64 x) (+.f64 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simplify340.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1524×	`rational.json-simplify-35`
1196×	`rational.json-simplify-51`
958×	`rational.json-simplify-2`
792×	`rational.json-simplify-1`
674×	`rational.json-simplify-43`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	307	13905
1	746	13335
2	1623	13291
3	3679	13269
4	6202	13269
5	7846	13269

Stop Event

1×	node limit

Counts

91 → 131

Calls

Call 1

Inputs
(.f64 -1/16 (.f64 (sqrt.f64 2) y))
(+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) y)) (*.f64 (sqrt.f64 2) x))
(+.f64 (.f64 -1/6 (.f64 (sqrt.f64 2) (pow.f64 x 3))) (+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) y)) (*.f64 (sqrt.f64 2) x)))
(+.f64 (.f64 -1/6 (.f64 (sqrt.f64 2) (pow.f64 x 3))) (+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) y)) (+.f64 (.f64 (sqrt.f64 2) x) (.f64 1/120 (*.f64 (sqrt.f64 2) (pow.f64 x 5))))))
(*.f64 (sqrt.f64 2) (sin.f64 x))
(+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) y)) (*.f64 (sqrt.f64 2) (sin.f64 x)))
(+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) y)) (*.f64 (sqrt.f64 2) (sin.f64 x)))
(+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) y)) (*.f64 (sqrt.f64 2) (sin.f64 x)))
(.f64 -1/16 (.f64 (sqrt.f64 2) y))
(+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) y)) (*.f64 (sqrt.f64 2) (sin.f64 x)))
(+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) y)) (*.f64 (sqrt.f64 2) (sin.f64 x)))
(+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) y)) (*.f64 (sqrt.f64 2) (sin.f64 x)))
(.f64 -1/16 (.f64 (sqrt.f64 2) y))
(+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) y)) (*.f64 (sqrt.f64 2) (sin.f64 x)))
(+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) y)) (*.f64 (sqrt.f64 2) (sin.f64 x)))
(+.f64 (.f64 -1/16 (.f64 (sqrt.f64 2) y)) (*.f64 (sqrt.f64 2) (sin.f64 x)))
(.f64 1/3 (/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (.f64 y (sin.f64 y)))))) (+.f64 1 (+.f64 (.f64 1/2 (.f64 (-.f64 3 (sqrt.f64 5)) (cos.f64 y))) (.f64 1/2 (-.f64 (sqrt.f64 5) 1))))))
(+.f64 (.f64 1/3 (/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (.f64 y (sin.f64 y)))))) (+.f64 1 (+.f64 (.f64 1/2 (.f64 (-.f64 3 (sqrt.f64 5)) (cos.f64 y))) (.f64 1/2 (-.f64 (sqrt.f64 5) 1)))))) (.f64 1/3 (/.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (.f64 (+.f64 (.f64 1/256 y) (sin.f64 y)) x))) (+.f64 1 (+.f64 (.f64 1/2 (.f64 (-.f64 3 (sqrt.f64 5)) (cos.f64 y))) (.f64 1/2 (-.f64 (sqrt.f64 5) 1)))))))
(+.f64 (.f64 1/3 (.f64 (-.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 -1/16 (-.f64 1 (cos.f64 y))) (.f64 1/32 (.f64 y (sin.f64 y))))) (+.f64 1 (+.f64 (.f64 1/2 (.f64 (-.f64 3 (sqrt.f64 5)) (cos.f64 y))) (.f64 1/2 (-.f64 (sqrt.f64 5) 1))))) (.f64 -1/4 (/.f64 (.f64 (-.f64 (sqrt.f64 5) 1) (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 y (.f64 (-.f64 1 (cos.f64 y)) (sin.f64 y))))))) (pow.f64 (+.f64 1 (+.f64 (.f64 1/2 (.f64 (-.f64 3 (sqrt.f64 5)) (cos.f64 y))) (.f64 1/2 (-.f64 (sqrt.f64 5) 1)))) 2)))) (pow.f64 x 2))) (+.f64 (.f64 1/3 (/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (.f64 y (sin.f64 y)))))) (+.f64 1 (+.f64 (.f64 1/2 (.f64 (-.f64 3 (sqrt.f64 5)) (cos.f64 y))) (.f64 1/2 (-.f64 (sqrt.f64 5) 1)))))) (.f64 1/3 (/.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (.f64 (+.f64 (.f64 1/256 y) (sin.f64 y)) x))) (+.f64 1 (+.f64 (.f64 1/2 (.f64 (-.f64 3 (sqrt.f64 5)) (cos.f64 y))) (.f64 1/2 (-.f64 (sqrt.f64 5) 1))))))))
(+.f64 (.f64 1/3 (.f64 (-.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 -1/16 (-.f64 1 (cos.f64 y))) (.f64 1/32 (.f64 y (sin.f64 y))))) (+.f64 1 (+.f64 (.f64 1/2 (.f64 (-.f64 3 (sqrt.f64 5)) (cos.f64 y))) (.f64 1/2 (-.f64 (sqrt.f64 5) 1))))) (.f64 -1/4 (/.f64 (.f64 (-.f64 (sqrt.f64 5) 1) (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 y (.f64 (-.f64 1 (cos.f64 y)) (sin.f64 y))))))) (pow.f64 (+.f64 1 (+.f64 (.f64 1/2 (.f64 (-.f64 3 (sqrt.f64 5)) (cos.f64 y))) (.f64 1/2 (-.f64 (sqrt.f64 5) 1)))) 2)))) (pow.f64 x 2))) (+.f64 (.f64 1/3 (/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (.f64 y (sin.f64 y)))))) (+.f64 1 (+.f64 (.f64 1/2 (.f64 (-.f64 3 (sqrt.f64 5)) (cos.f64 y))) (.f64 1/2 (-.f64 (sqrt.f64 5) 1)))))) (+.f64 (.f64 1/3 (.f64 (-.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 (-.f64 1 (cos.f64 y)) (+.f64 (.f64 -1/1536 y) (.f64 -1/6 (sin.f64 y)))) (.f64 -1/2 (+.f64 (.f64 1/256 y) (sin.f64 y))))) (+.f64 1 (+.f64 (.f64 1/2 (.f64 (-.f64 3 (sqrt.f64 5)) (cos.f64 y))) (.f64 1/2 (-.f64 (sqrt.f64 5) 1))))) (.f64 -1/4 (/.f64 (.f64 (-.f64 (sqrt.f64 5) 1) (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (+.f64 (.f64 1/256 y) (sin.f64 y))))) (pow.f64 (+.f64 1 (+.f64 (.f64 1/2 (.f64 (-.f64 3 (sqrt.f64 5)) (cos.f64 y))) (.f64 1/2 (-.f64 (sqrt.f64 5) 1)))) 2)))) (pow.f64 x 3))) (.f64 1/3 (/.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (.f64 (+.f64 (.f64 1/256 y) (sin.f64 y)) x))) (+.f64 1 (+.f64 (.f64 1/2 (.f64 (-.f64 3 (sqrt.f64 5)) (cos.f64 y))) (*.f64 1/2 (-.f64 (sqrt.f64 5) 1)))))))))
(.f64 1/3 (/.f64 (+.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x))) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (+.f64 (sin.f64 x) (.f64 -1/16 y))))) 2) (+.f64 1 (+.f64 (.f64 1/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))) (.f64 1/2 (.f64 (-.f64 3 (sqrt.f64 5)) (cos.f64 y)))))))
(.f64 1/3 (/.f64 (+.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x))) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (+.f64 (sin.f64 x) (.f64 -1/16 y))))) 2) (+.f64 1 (+.f64 (.f64 1/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))) (.f64 1/2 (.f64 (-.f64 3 (sqrt.f64 5)) (cos.f64 y)))))))
(.f64 1/3 (/.f64 (+.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x))) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (+.f64 (sin.f64 x) (.f64 -1/16 y))))) 2) (+.f64 1 (+.f64 (.f64 1/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))) (.f64 1/2 (.f64 (-.f64 3 (sqrt.f64 5)) (cos.f64 y)))))))
(.f64 1/3 (/.f64 (+.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x))) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (+.f64 (sin.f64 x) (.f64 -1/16 y))))) 2) (+.f64 1 (+.f64 (.f64 1/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))) (.f64 1/2 (.f64 (-.f64 3 (sqrt.f64 5)) (cos.f64 y)))))))
(.f64 1/3 (/.f64 (+.f64 2 (.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x))) (+.f64 (sin.f64 x) (.f64 -1/16 y)))))) (+.f64 1 (+.f64 (.f64 1/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))) (.f64 1/2 (.f64 (-.f64 3 (sqrt.f64 5)) (cos.f64 y)))))))
(.f64 1/3 (/.f64 (+.f64 2 (.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x))) (+.f64 (sin.f64 x) (.f64 -1/16 y)))))) (+.f64 1 (+.f64 (.f64 1/2 (.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))) (.f64 1/2 (.f64 (-.f64 3 (sqrt.f64 5)) (cos.f64 y)))))))
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(.f64 1/3 (/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (+.f64 (sin.f64 x) (.f64 -1/16 y))) (-.f64 (sin.f64 y) (.f64 (sin.f64 x) 1/16))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 1/2 (+.f64 (+.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) 2) (*.f64 (cos.f64 y) (-.f64 3 (sqrt.f64 5)))))))
(.f64 1/2 (/.f64 (.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (+.f64 (sin.f64 x) (.f64 -1/16 y))) (-.f64 (sin.f64 y) (.f64 (sin.f64 x) 1/16))) (-.f64 (cos.f64 x) (cos.f64 y)))) 2/3) (.f64 1/2 (+.f64 (+.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) 2) (.f64 (cos.f64 y) (-.f64 3 (sqrt.f64 5)))))))
(.f64 (/.f64 1/3 (.f64 1/2 (+.f64 (+.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) 2) (.f64 (cos.f64 y) (-.f64 3 (sqrt.f64 5)))))) (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (+.f64 (sin.f64 x) (.f64 -1/16 y))) (-.f64 (sin.f64 y) (*.f64 (sin.f64 x) 1/16))) (-.f64 (cos.f64 x) (cos.f64 y)))))
(.f64 (neg.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (+.f64 (sin.f64 x) (.f64 -1/16 y))) (-.f64 (sin.f64 y) (.f64 (sin.f64 x) 1/16))) (-.f64 (cos.f64 x) (cos.f64 y))))) (/.f64 -1 (.f64 3 (.f64 1/2 (+.f64 (+.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) 2) (.f64 (cos.f64 y) (-.f64 3 (sqrt.f64 5))))))))
(.f64 (.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (+.f64 (sin.f64 x) (.f64 -1/16 y))) (-.f64 (sin.f64 y) (.f64 (sin.f64 x) 1/16))) (-.f64 (cos.f64 x) (cos.f64 y)))) -1/3) (/.f64 -1 (.f64 1/2 (+.f64 (+.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) 2) (.f64 (cos.f64 y) (-.f64 3 (sqrt.f64 5)))))))
(.f64 (.f64 2 (/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (+.f64 (sin.f64 x) (.f64 -1/16 y))) (-.f64 (sin.f64 y) (.f64 (sin.f64 x) 1/16))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 1/2 (+.f64 (+.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) 2) (.f64 (cos.f64 y) (-.f64 3 (sqrt.f64 5))))))) 1/6)
(.f64 (/.f64 1 (.f64 1/2 (+.f64 (+.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) 2) (.f64 (cos.f64 y) (-.f64 3 (sqrt.f64 5)))))) (.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (+.f64 (sin.f64 x) (.f64 -1/16 y))) (-.f64 (sin.f64 y) (.f64 (sin.f64 x) 1/16))) (-.f64 (cos.f64 x) (cos.f64 y)))) 1/3))
(.f64 1/6 (.f64 2 (/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (+.f64 (sin.f64 x) (.f64 -1/16 y))) (-.f64 (sin.f64 y) (.f64 (sin.f64 x) 1/16))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 1/2 (+.f64 (+.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) 2) (.f64 (cos.f64 y) (-.f64 3 (sqrt.f64 5))))))))
(.f64 (/.f64 1/6 (.f64 1/2 (+.f64 (+.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) 2) (.f64 (cos.f64 y) (-.f64 3 (sqrt.f64 5)))))) (.f64 2 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (+.f64 (sin.f64 x) (.f64 -1/16 y))) (-.f64 (sin.f64 y) (.f64 (sin.f64 x) 1/16))) (-.f64 (cos.f64 x) (cos.f64 y))))))
(.f64 (.f64 1/3 (/.f64 1 (.f64 1/2 (+.f64 (+.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) 2) (.f64 (cos.f64 y) (-.f64 3 (sqrt.f64 5))))))) (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (+.f64 (sin.f64 x) (.f64 -1/16 y))) (-.f64 (sin.f64 y) (.f64 (sin.f64 x) 1/16))) (-.f64 (cos.f64 x) (cos.f64 y)))))
(.f64 (.f64 1/2 (/.f64 1/3 (.f64 1/2 (+.f64 (+.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) 2) (.f64 (cos.f64 y) (-.f64 3 (sqrt.f64 5))))))) (.f64 2 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (+.f64 (sin.f64 x) (.f64 -1/16 y))) (-.f64 (sin.f64 y) (*.f64 (sin.f64 x) 1/16))) (-.f64 (cos.f64 x) (cos.f64 y))))))
(.f64 (/.f64 (neg.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (+.f64 (sin.f64 x) (.f64 -1/16 y))) (-.f64 (sin.f64 y) (.f64 (sin.f64 x) 1/16))) (-.f64 (cos.f64 x) (cos.f64 y))))) (.f64 3 (.f64 1/2 (+.f64 (+.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) 2) (.f64 (cos.f64 y) (-.f64 3 (sqrt.f64 5))))))) -1)
(.f64 (/.f64 (.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (+.f64 (sin.f64 x) (.f64 -1/16 y))) (-.f64 (sin.f64 y) (.f64 (sin.f64 x) 1/16))) (-.f64 (cos.f64 x) (cos.f64 y)))) -1/3) (.f64 1/2 (+.f64 (+.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) 2) (.f64 (cos.f64 y) (-.f64 3 (sqrt.f64 5)))))) -1)
(.f64 (/.f64 2 (.f64 (.f64 1/2 (+.f64 (+.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) 2) (.f64 (cos.f64 y) (-.f64 3 (sqrt.f64 5))))) 4)) (.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (+.f64 (sin.f64 x) (.f64 -1/16 y))) (-.f64 (sin.f64 y) (*.f64 (sin.f64 x) 1/16))) (-.f64 (cos.f64 x) (cos.f64 y)))) 2/3))
(.f64 (/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (+.f64 (sin.f64 x) (.f64 -1/16 y))) (-.f64 (sin.f64 y) (.f64 (sin.f64 x) 1/16))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 (.f64 1/2 (+.f64 (+.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) 2) (.f64 (cos.f64 y) (-.f64 3 (sqrt.f64 5))))) 6)) 2)
(.f64 (/.f64 -1 (.f64 1/2 (+.f64 (+.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) 2) (.f64 (cos.f64 y) (-.f64 3 (sqrt.f64 5)))))) (.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (+.f64 (sin.f64 x) (.f64 -1/16 y))) (-.f64 (sin.f64 y) (.f64 (sin.f64 x) 1/16))) (-.f64 (cos.f64 x) (cos.f64 y)))) -1/3))
(.f64 (/.f64 (/.f64 (.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (+.f64 (sin.f64 x) (.f64 -1/16 y))) (-.f64 (sin.f64 y) (.f64 (sin.f64 x) 1/16))) (-.f64 (cos.f64 x) (cos.f64 y)))) 2/3) (.f64 1/2 (+.f64 (+.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) 2) (.f64 (cos.f64 y) (-.f64 3 (sqrt.f64 5)))))) 4) 2)
(.f64 (/.f64 1 (.f64 (.f64 1/2 (+.f64 (+.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) 2) (.f64 (cos.f64 y) (-.f64 3 (sqrt.f64 5))))) 12)) (.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (+.f64 (sin.f64 x) (.f64 -1/16 y))) (-.f64 (sin.f64 y) (*.f64 (sin.f64 x) 1/16))) (-.f64 (cos.f64 x) (cos.f64 y)))) 4))
(.f64 (/.f64 -1 (.f64 3 (.f64 1/2 (+.f64 (+.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) 2) (.f64 (cos.f64 y) (-.f64 3 (sqrt.f64 5))))))) (neg.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (+.f64 (sin.f64 x) (.f64 -1/16 y))) (-.f64 (sin.f64 y) (.f64 (sin.f64 x) 1/16))) (-.f64 (cos.f64 x) (cos.f64 y))))))
(.f64 (+.f64 (/.f64 1/6 (.f64 1/2 (+.f64 (+.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) 2) (.f64 (cos.f64 y) (-.f64 3 (sqrt.f64 5)))))) (/.f64 1/6 (.f64 1/2 (+.f64 (+.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) 2) (.f64 (cos.f64 y) (-.f64 3 (sqrt.f64 5))))))) (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (+.f64 (sin.f64 x) (.f64 -1/16 y))) (-.f64 (sin.f64 y) (.f64 (sin.f64 x) 1/16))) (-.f64 (cos.f64 x) (cos.f64 y)))))
(pow.f64 (.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (+.f64 (sin.f64 x) (.f64 -1/16 y))) (-.f64 (sin.f64 y) (.f64 (sin.f64 x) 1/16))) (-.f64 (cos.f64 x) (cos.f64 y)))) (/.f64 1/3 (.f64 1/2 (+.f64 (+.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) 2) (*.f64 (cos.f64 y) (-.f64 3 (sqrt.f64 5))))))) 1)
(neg.f64 (/.f64 (neg.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (+.f64 (sin.f64 x) (.f64 -1/16 y))) (-.f64 (sin.f64 y) (.f64 (sin.f64 x) 1/16))) (-.f64 (cos.f64 x) (cos.f64 y))))) (.f64 3 (.f64 1/2 (+.f64 (+.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) 2) (*.f64 (cos.f64 y) (-.f64 3 (sqrt.f64 5))))))))
(neg.f64 (/.f64 (.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (+.f64 (sin.f64 x) (.f64 -1/16 y))) (-.f64 (sin.f64 y) (.f64 (sin.f64 x) 1/16))) (-.f64 (cos.f64 x) (cos.f64 y)))) -1/3) (.f64 1/2 (+.f64 (+.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) 2) (*.f64 (cos.f64 y) (-.f64 3 (sqrt.f64 5)))))))

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

eval1.2s (2.2%)

Compiler: Compiled 46869 to 35832 computations (23.5% saved)

prune1.1s (1.9%)

Pruning

54 alts after pruning (48 fresh and 6 done)

	Pruned	Kept	Total
New	856	17	873
Fresh	3	31	34
Picked	1	0	1
Done	1	6	7
Total	861	54	915

Error

0.2b

Counts

915 → 54

Alt Table

Click to see full alt table

Status	Error	Program
	0.4b	(/.f64 (/.f64 (+.f64 2 (.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)) (.f64 (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16)) (.f64 (sqrt.f64 2) (-.f64 (+.f64 (-.f64 -1 (cos.f64 y)) (+.f64 (cos.f64 x) 2)) 1))))) 3) (+.f64 1 (+.f64 (.f64 (cos.f64 x) (/.f64 (+.f64 (sqrt.f64 5) -1) 2)) (*.f64 (cos.f64 y) (/.f64 (-.f64 3 (sqrt.f64 5)) 2)))))
✓	0.4b	(/.f64 (/.f64 (+.f64 2 (.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)) (.f64 (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16)) (.f64 (sqrt.f64 2) (-.f64 (+.f64 (-.f64 -1 (cos.f64 y)) (cos.f64 x)) -1))))) 3) (+.f64 1 (.f64 1/2 (+.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) (.f64 (cos.f64 y) (-.f64 3 (sqrt.f64 5)))))))
	0.4b	(/.f64 (/.f64 (+.f64 2 (.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)) (.f64 (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16)) (.f64 (sqrt.f64 2) (-.f64 (cos.f64 x) (cos.f64 y)))))) 3) (+.f64 1 (.f64 1/2 (+.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) (.f64 (cos.f64 y) (-.f64 3 (sqrt.f64 5)))))))
	38.2b	(/.f64 (/.f64 (+.f64 2 (.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)) (.f64 (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16)) (.f64 (sqrt.f64 2) (-.f64 (cos.f64 x) (cos.f64 y)))))) 3) (+.f64 1 (.f64 1/2 2)))
	25.4b	(/.f64 (/.f64 (+.f64 2 (.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)) (.f64 (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16)) (.f64 (sqrt.f64 2) (-.f64 (cos.f64 x) 1))))) 3) (+.f64 1 (.f64 1/2 (+.f64 (-.f64 3 (sqrt.f64 5)) (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1))))))
	24.1b	(/.f64 (/.f64 (+.f64 2 (.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)) (.f64 (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16)) (.f64 (sqrt.f64 2) (-.f64 (cos.f64 x) 1))))) 3) (+.f64 1 (.f64 1/2 (+.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) (.f64 (cos.f64 y) (-.f64 3 (sqrt.f64 5)))))))
✓	27.0b	(/.f64 (/.f64 (+.f64 2 (.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)) (.f64 (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16)) (.f64 (sqrt.f64 2) (-.f64 1 (cos.f64 y)))))) 3) (+.f64 1 (.f64 1/2 (+.f64 (*.f64 (cos.f64 y) (-.f64 3 (sqrt.f64 5))) (+.f64 (sqrt.f64 5) -1)))))
	25.3b	(/.f64 (/.f64 (+.f64 2 (.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)) (.f64 (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16)) (.f64 (sqrt.f64 2) (-.f64 1 (cos.f64 y)))))) 3) (+.f64 1 (.f64 1/2 (+.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) (.f64 (cos.f64 y) (-.f64 3 (sqrt.f64 5)))))))
	38.3b	(/.f64 (/.f64 (+.f64 2 (.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)) (.f64 (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16)) (.f64 (sqrt.f64 2) (-.f64 1 (cos.f64 y)))))) 3) (+.f64 1 (.f64 1/2 2)))
	0.4b	(/.f64 (/.f64 (+.f64 2 (.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)) (.f64 (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16)) (.f64 (sqrt.f64 2) (+.f64 (+.f64 (cos.f64 x) (-.f64 1 (cos.f64 y))) -1))))) 3) (+.f64 1 (.f64 1/2 (+.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) (.f64 (cos.f64 y) (-.f64 3 (sqrt.f64 5)))))))
	0.5b	(/.f64 (+.f64 2 (/.f64 (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16)) (-.f64 (sin.f64 y) (.f64 (sin.f64 x) 1/16))))) 1)) (.f64 3 (+.f64 1 (.f64 1/2 (+.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) (*.f64 (cos.f64 y) (-.f64 3 (sqrt.f64 5))))))))
	25.7b	(/.f64 (+.f64 2 (.f64 (-.f64 1 (cos.f64 y)) (.f64 (.f64 (sqrt.f64 2) (pow.f64 (sin.f64 y) 2)) -1/16))) (.f64 3 (+.f64 1 (.f64 1/2 (+.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) (*.f64 (cos.f64 y) (-.f64 3 (sqrt.f64 5))))))))
	25.7b	(/.f64 (+.f64 2 (.f64 (-.f64 1 (cos.f64 y)) (.f64 (sqrt.f64 2) (.f64 -1/16 (pow.f64 (sin.f64 y) 2))))) (.f64 3 (+.f64 (+.f64 1 (.f64 (cos.f64 x) (/.f64 (+.f64 (sqrt.f64 5) -1) 2))) (.f64 (cos.f64 y) (/.f64 (-.f64 3 (sqrt.f64 5)) 2)))))
	25.9b	(/.f64 (+.f64 2 (.f64 (.f64 (+.f64 (cos.f64 x) -1) (pow.f64 (sin.f64 x) 2)) (.f64 (sqrt.f64 2) -1/16))) (.f64 3 (+.f64 1 (.f64 1/2 (+.f64 (-.f64 3 (sqrt.f64 5)) (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)))))))
	36.9b	(/.f64 (+.f64 2 (.f64 (.f64 (+.f64 (cos.f64 x) -1) (pow.f64 (sin.f64 x) 2)) (.f64 (sqrt.f64 2) -1/16))) (.f64 3 (+.f64 1 (.f64 1/2 (+.f64 (.f64 (cos.f64 y) (-.f64 3 (sqrt.f64 5))) (+.f64 (sqrt.f64 5) -1))))))
	24.5b	(/.f64 (+.f64 2 (.f64 (.f64 (+.f64 (cos.f64 x) -1) (pow.f64 (sin.f64 x) 2)) (.f64 (sqrt.f64 2) -1/16))) (.f64 3 (+.f64 1 (.f64 1/2 (+.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) (*.f64 (cos.f64 y) (-.f64 3 (sqrt.f64 5))))))))
	25.4b	(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 1 (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
	27.8b	(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (+.f64 (sin.f64 x) (.f64 -1/16 y))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) 1))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (*.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
	32.6b	(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (+.f64 x (.f64 -1/16 (sin.f64 y)))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (*.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
	23.2b	(/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (sin.f64 x)) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))
	0.5b	(/.f64 (+.f64 2 (.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16)) (.f64 (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x))) (-.f64 (cos.f64 x) (cos.f64 y)))))) (.f64 3 (+.f64 1 (.f64 1/2 (+.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) (*.f64 (cos.f64 y) (-.f64 3 (sqrt.f64 5))))))))
	0.5b	(/.f64 (+.f64 2 (.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16)) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x))))))) (.f64 3 (+.f64 (+.f64 1 (.f64 (cos.f64 x) (/.f64 (+.f64 (sqrt.f64 5) -1) 2))) (.f64 (cos.f64 y) (/.f64 (-.f64 3 (sqrt.f64 5)) 2)))))
✓	25.7b	(/.f64 (+.f64 2 (.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 -1/16 (pow.f64 (sin.f64 y) 2))))) (.f64 3 (+.f64 (+.f64 1 (.f64 (cos.f64 x) (/.f64 (+.f64 (sqrt.f64 5) -1) 2))) (.f64 (cos.f64 y) (/.f64 (-.f64 3 (sqrt.f64 5)) 2)))))
	24.5b	(/.f64 (+.f64 2 (.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 -1/16 (pow.f64 (sin.f64 x) 2))))) (.f64 3 (+.f64 (+.f64 1 (.f64 (cos.f64 x) (/.f64 (+.f64 (sqrt.f64 5) -1) 2))) (.f64 (cos.f64 y) (/.f64 (-.f64 3 (sqrt.f64 5)) 2)))))
	35.2b	(/.f64 (+.f64 2 (.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) 1) (.f64 -1/16 (pow.f64 (sin.f64 y) 2))))) (.f64 3 (+.f64 (+.f64 1 (.f64 (cos.f64 x) (/.f64 (+.f64 (sqrt.f64 5) -1) 2))) (.f64 (cos.f64 y) (/.f64 (-.f64 3 (sqrt.f64 5)) 2)))))
	29.0b	(/.f64 (+.f64 2 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (+.f64 (.f64 (+.f64 (sin.f64 y) (.f64 (sin.f64 y) 1/256)) x) (.f64 -1/16 (pow.f64 (sin.f64 y) 2)))))) (.f64 3 (+.f64 (+.f64 1 (.f64 (cos.f64 x) (/.f64 (+.f64 (sqrt.f64 5) -1) 2))) (.f64 (cos.f64 y) (/.f64 (-.f64 3 (sqrt.f64 5)) 2)))))
✓	41.2b	(/.f64 (+.f64 2 (.f64 (sqrt.f64 2) (.f64 (.f64 (pow.f64 y 2) (+.f64 (cos.f64 x) -1)) -1/16))) (.f64 3 (+.f64 (+.f64 1 (.f64 (cos.f64 x) (/.f64 (+.f64 (sqrt.f64 5) -1) 2))) (.f64 (cos.f64 y) (/.f64 (-.f64 3 (sqrt.f64 5)) 2)))))
	42.5b	(/.f64 (+.f64 2 (.f64 (sqrt.f64 2) (.f64 (.f64 (pow.f64 y 2) (+.f64 (cos.f64 x) -1)) -1/16))) (.f64 3 (+.f64 (+.f64 1 (.f64 1/2 (-.f64 (sqrt.f64 5) 1))) (.f64 (cos.f64 y) (/.f64 (-.f64 3 (sqrt.f64 5)) 2)))))
	27.1b	(/.f64 (+.f64 2 (.f64 (sqrt.f64 2) (.f64 (.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y))))) (.f64 3 (+.f64 1 (.f64 1/2 (-.f64 (+.f64 (sqrt.f64 5) (.f64 (-.f64 3 (sqrt.f64 5)) (cos.f64 y))) 1)))))
	32.9b	(/.f64 (+.f64 2 (.f64 (sqrt.f64 2) (.f64 (.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y))))) (.f64 3 (+.f64 1 (.f64 1/2 (+.f64 (.f64 (-.f64 3 (sqrt.f64 5)) (cos.f64 y)) (+.f64 (+.f64 (sqrt.f64 5) -1) (.f64 (+.f64 (sqrt.f64 5) -1) (.f64 -1/2 (pow.f64 x 2)))))))))
✓	0.5b	(/.f64 (+.f64 2 (.f64 (sqrt.f64 2) (.f64 (.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y))))) (.f64 3 (+.f64 1 (.f64 1/2 (+.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) (*.f64 (cos.f64 y) (-.f64 3 (sqrt.f64 5))))))))
	25.5b	(/.f64 (+.f64 2 (.f64 (sqrt.f64 2) (.f64 (.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y))))) (.f64 3 (+.f64 1 (.f64 1/2 (+.f64 3 (-.f64 (.f64 (+.f64 (sqrt.f64 5) -1) (cos.f64 x)) (sqrt.f64 5)))))))
	25.4b	(/.f64 (+.f64 2 (.f64 (sqrt.f64 2) (.f64 (.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) 1)))) (.f64 3 (+.f64 1 (.f64 1/2 (+.f64 (-.f64 3 (sqrt.f64 5)) (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)))))))
	24.2b	(/.f64 (+.f64 2 (.f64 (sqrt.f64 2) (.f64 (.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) 1)))) (.f64 3 (+.f64 1 (.f64 1/2 (+.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) (*.f64 (cos.f64 y) (-.f64 3 (sqrt.f64 5))))))))
	25.3b	(/.f64 (+.f64 2 (.f64 (sqrt.f64 2) (.f64 (.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 1 (cos.f64 y))))) (.f64 3 (+.f64 1 (.f64 1/2 (+.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) (*.f64 (cos.f64 y) (-.f64 3 (sqrt.f64 5))))))))
	35.2b	(/.f64 (+.f64 2 (.f64 (sqrt.f64 2) (.f64 (.f64 -1/16 (pow.f64 (sin.f64 y) 2)) (-.f64 (cos.f64 x) 1)))) (.f64 3 (+.f64 1 (+.f64 (.f64 (cos.f64 x) (/.f64 (+.f64 (sqrt.f64 5) -1) 2)) (.f64 (cos.f64 y) (/.f64 (-.f64 3 (sqrt.f64 5)) 2))))))
	42.5b	(/.f64 (+.f64 2 (.f64 (sqrt.f64 2) (.f64 (.f64 -1/2 (pow.f64 (.f64 y x) 2)) -1/16))) (.f64 3 (+.f64 (+.f64 1 (.f64 (cos.f64 x) (/.f64 (+.f64 (sqrt.f64 5) -1) 2))) (*.f64 (cos.f64 y) (/.f64 (-.f64 3 (sqrt.f64 5)) 2)))))
	38.2b	(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (pow.f64 (sin.f64 y) 2) (.f64 (sqrt.f64 2) (-.f64 1 (cos.f64 y)))))) (.f64 3 (+.f64 1 (*.f64 1/2 2))))
	24.5b	(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (pow.f64 (sin.f64 x) 2) (.f64 (+.f64 (cos.f64 x) -1) (sqrt.f64 2))))) (.f64 3 (+.f64 (+.f64 1 (.f64 (cos.f64 x) (/.f64 (+.f64 (sqrt.f64 5) -1) 2))) (.f64 (cos.f64 y) (/.f64 (-.f64 3 (sqrt.f64 5)) 2)))))
	38.2b	(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (-.f64 1 (cos.f64 y)) (.f64 (sqrt.f64 2) (pow.f64 (sin.f64 y) 2))))) (.f64 3 (+.f64 1 (*.f64 1/2 2))))
	44.4b	(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (+.f64 (.f64 1/2 (pow.f64 y 4)) (.f64 -5/24 (pow.f64 y 6)))))) (.f64 3 (+.f64 1 (.f64 1/2 2))))
	27.5b	(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2))))) (.f64 3 (+.f64 1 (.f64 1/2 (-.f64 (+.f64 (sqrt.f64 5) (.f64 (-.f64 3 (sqrt.f64 5)) (cos.f64 y))) 1)))))
	36.6b	(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2))))) (.f64 3 (+.f64 1 (.f64 1/2 (+.f64 (-.f64 3 (sqrt.f64 5)) (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)))))))
✓	27.5b	(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2))))) (.f64 3 (+.f64 1 (.f64 1/2 (+.f64 (.f64 (cos.f64 y) (-.f64 3 (sqrt.f64 5))) (+.f64 (sqrt.f64 5) -1))))))
	44.5b	(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 y 2))))) (.f64 3 (+.f64 1 (.f64 1/2 (+.f64 (.f64 (cos.f64 y) (-.f64 3 (sqrt.f64 5))) (+.f64 (sqrt.f64 5) -1))))))
	44.6b	(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 y 2))))) (.f64 3 (+.f64 1 (*.f64 1/2 2))))
	38.2b	(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (+.f64 (neg.f64 (+.f64 (cos.f64 y) -2)) -1) (pow.f64 (sin.f64 y) 2))))) (.f64 3 (+.f64 1 (*.f64 1/2 2))))
	27.5b	(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (+.f64 -2 (-.f64 1 (+.f64 (cos.f64 y) -2))) (pow.f64 (sin.f64 y) 2))))) (.f64 3 (+.f64 1 (.f64 1/2 (+.f64 (.f64 (cos.f64 y) (-.f64 3 (sqrt.f64 5))) (+.f64 (sqrt.f64 5) -1))))))
	44.7b	(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 1/2 (pow.f64 y 4))))) (.f64 3 (+.f64 1 (*.f64 1/2 2))))
	31.3b	(+.f64 (.f64 (sqrt.f64 2) (.f64 (.f64 (-.f64 (sin.f64 y) (.f64 (sin.f64 x) 1/16)) (/.f64 (.f64 y (-.f64 (cos.f64 x) (cos.f64 y))) (+.f64 1 (.f64 1/2 (+.f64 (.f64 (+.f64 (sqrt.f64 5) -1) (cos.f64 x)) (.f64 (cos.f64 y) (-.f64 3 (sqrt.f64 5)))))))) -1/48)) (.f64 1/3 (+.f64 (.f64 2 (/.f64 2 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (sqrt.f64 5) -1) (cos.f64 x)) (.f64 (cos.f64 y) (-.f64 3 (sqrt.f64 5)))) 1) 2))) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (/.f64 (.f64 (sqrt.f64 2) (.f64 (sin.f64 x) (-.f64 (sin.f64 y) (.f64 (sin.f64 x) 1/16)))) (+.f64 1 (.f64 1/2 (+.f64 (.f64 (+.f64 (sqrt.f64 5) -1) (cos.f64 x)) (.f64 (cos.f64 y) (-.f64 3 (sqrt.f64 5)))))))))))
	31.3b	(.f64 (/.f64 1 (.f64 1/2 (+.f64 (+.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) 2) (.f64 (cos.f64 y) (-.f64 3 (sqrt.f64 5)))))) (.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (+.f64 (sin.f64 x) (.f64 -1/16 y))) (-.f64 (sin.f64 y) (.f64 (sin.f64 x) 1/16))) (-.f64 (cos.f64 x) (cos.f64 y)))) 1/3))
	31.3b	(.f64 (+.f64 2 (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (-.f64 (sin.f64 y) (.f64 (sin.f64 x) 1/16)) (.f64 (sqrt.f64 2) (+.f64 (sin.f64 x) (.f64 -1/16 y)))))) (/.f64 2/3 (+.f64 (+.f64 2 (.f64 (+.f64 (sqrt.f64 5) -1) (cos.f64 x))) (.f64 (cos.f64 y) (-.f64 3 (sqrt.f64 5))))))
	25.9b	(.f64 1/3 (/.f64 (+.f64 2 (.f64 -1/16 (.f64 (pow.f64 (sin.f64 x) 2) (.f64 (sqrt.f64 2) (+.f64 (cos.f64 x) -1))))) (+.f64 1 (.f64 1/2 (+.f64 (-.f64 3 (sqrt.f64 5)) (.f64 (+.f64 (sqrt.f64 5) -1) (cos.f64 x)))))))
	28.9b	(.f64 1/3 (+.f64 (/.f64 (+.f64 2 (.f64 -1/16 (.f64 (pow.f64 (sin.f64 x) 2) (.f64 (sqrt.f64 2) (+.f64 (cos.f64 x) -1))))) (+.f64 1 (.f64 1/2 (+.f64 (-.f64 3 (sqrt.f64 5)) (.f64 (+.f64 (sqrt.f64 5) -1) (cos.f64 x)))))) (.f64 y (/.f64 (.f64 (sqrt.f64 2) (.f64 (+.f64 (cos.f64 x) -1) (+.f64 (sin.f64 x) (.f64 (sin.f64 x) 1/256)))) (+.f64 1 (.f64 1/2 (+.f64 (-.f64 3 (sqrt.f64 5)) (.f64 (+.f64 (sqrt.f64 5) -1) (cos.f64 x)))))))))

Compiler

Compiled 2414 to 1995 computations (17.4% saved)

regimes528.0ms (0.9%)

Counts

79 → 1

Calls

Call 1

Inputs
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 1/2 (pow.f64 y 4))))) (.f64 3 (+.f64 1 (*.f64 1/2 2))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 y 2))))) (.f64 3 (+.f64 1 (*.f64 1/2 2))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (+.f64 (.f64 1/2 (pow.f64 y 4)) (.f64 -5/24 (pow.f64 y 6)))))) (.f64 3 (+.f64 1 (.f64 1/2 2))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2))))) (.f64 3 (+.f64 1 (*.f64 1/2 2))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (-.f64 1 (cos.f64 y)) (.f64 (sqrt.f64 2) (pow.f64 (sin.f64 y) 2))))) (.f64 3 (+.f64 1 (*.f64 1/2 2))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (pow.f64 (sin.f64 y) 2) (.f64 (sqrt.f64 2) (-.f64 1 (cos.f64 y)))))) (.f64 3 (+.f64 1 (*.f64 1/2 2))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (+.f64 (neg.f64 (+.f64 (cos.f64 y) -2)) -1) (pow.f64 (sin.f64 y) 2))))) (.f64 3 (+.f64 1 (*.f64 1/2 2))))
(/.f64 (/.f64 (+.f64 2 (.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)) (.f64 (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16)) (.f64 (sqrt.f64 2) (-.f64 1 (cos.f64 y)))))) 3) (+.f64 1 (.f64 1/2 2)))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 y 2))))) (.f64 3 (+.f64 1 (.f64 1/2 (+.f64 (.f64 (cos.f64 y) (-.f64 3 (sqrt.f64 5))) (+.f64 (sqrt.f64 5) -1))))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2))))) (.f64 3 (+.f64 1 (.f64 1/2 (+.f64 2 (.f64 (-.f64 3 (sqrt.f64 5)) (*.f64 -1/2 (pow.f64 y 2))))))))
(/.f64 (+.f64 2 (.f64 (sqrt.f64 2) (.f64 (.f64 (pow.f64 y 2) (+.f64 (cos.f64 x) -1)) -1/16))) (.f64 3 (+.f64 (+.f64 1 (.f64 1/2 (-.f64 (sqrt.f64 5) 1))) (.f64 (cos.f64 y) (/.f64 (-.f64 3 (sqrt.f64 5)) 2)))))
(/.f64 (+.f64 2 (.f64 (sqrt.f64 2) (.f64 (.f64 -1/2 (pow.f64 (.f64 y x) 2)) -1/16))) (.f64 3 (+.f64 (+.f64 1 (.f64 (cos.f64 x) (/.f64 (+.f64 (sqrt.f64 5) -1) 2))) (*.f64 (cos.f64 y) (/.f64 (-.f64 3 (sqrt.f64 5)) 2)))))
(/.f64 (/.f64 (+.f64 2 (.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)) (.f64 (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16)) (.f64 (sqrt.f64 2) (-.f64 (cos.f64 x) (cos.f64 y)))))) 3) (+.f64 1 (.f64 1/2 2)))
(.f64 1/3 (/.f64 (+.f64 2 (.f64 -1/16 (.f64 (pow.f64 (sin.f64 x) 2) (.f64 (sqrt.f64 2) (+.f64 (cos.f64 x) -1))))) (+.f64 1 (.f64 1/2 (+.f64 (-.f64 3 (sqrt.f64 5)) (.f64 (+.f64 (sqrt.f64 5) -1) (cos.f64 x)))))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2))))) (.f64 3 (+.f64 1 (.f64 1/2 (+.f64 (.f64 (cos.f64 y) (-.f64 3 (sqrt.f64 5))) (+.f64 (sqrt.f64 5) -1))))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2))))) (.f64 3 (+.f64 1 (.f64 1/2 (+.f64 (-.f64 3 (sqrt.f64 5)) (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)))))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2))))) (.f64 3 (+.f64 1 (.f64 1/2 (-.f64 (+.f64 (sqrt.f64 5) (.f64 (-.f64 3 (sqrt.f64 5)) (cos.f64 y))) 1)))))
(/.f64 (+.f64 2 (.f64 (.f64 (+.f64 (cos.f64 x) -1) (pow.f64 (sin.f64 x) 2)) (.f64 (sqrt.f64 2) -1/16))) (.f64 3 (+.f64 1 (.f64 1/2 (+.f64 (.f64 (cos.f64 y) (-.f64 3 (sqrt.f64 5))) (+.f64 (sqrt.f64 5) -1))))))
(/.f64 (+.f64 2 (.f64 (.f64 (+.f64 (cos.f64 x) -1) (pow.f64 (sin.f64 x) 2)) (.f64 (sqrt.f64 2) -1/16))) (.f64 3 (+.f64 1 (.f64 1/2 (+.f64 (-.f64 3 (sqrt.f64 5)) (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)))))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (+.f64 -2 (-.f64 1 (+.f64 (cos.f64 y) -2))) (pow.f64 (sin.f64 y) 2))))) (.f64 3 (+.f64 1 (.f64 1/2 (+.f64 (.f64 (cos.f64 y) (-.f64 3 (sqrt.f64 5))) (+.f64 (sqrt.f64 5) -1))))))
(/.f64 (+.f64 2 (.f64 (sqrt.f64 2) (.f64 (.f64 (pow.f64 y 2) (+.f64 (cos.f64 x) -1)) -1/16))) (.f64 3 (+.f64 (+.f64 1 (.f64 (cos.f64 x) (/.f64 (+.f64 (sqrt.f64 5) -1) 2))) (.f64 (cos.f64 y) (/.f64 (-.f64 3 (sqrt.f64 5)) 2)))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2))))) (.f64 3 (+.f64 1 (.f64 1/2 (+.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) (*.f64 (cos.f64 y) (-.f64 3 (sqrt.f64 5))))))))
(/.f64 (+.f64 2 (.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 -1/16 (pow.f64 (sin.f64 y) 2))))) (.f64 3 (+.f64 (+.f64 1 (.f64 1/2 (-.f64 (sqrt.f64 5) 1))) (.f64 (cos.f64 y) (/.f64 (-.f64 3 (sqrt.f64 5)) 2)))))
(/.f64 (+.f64 2 (.f64 (.f64 (+.f64 (cos.f64 x) -1) (pow.f64 (sin.f64 x) 2)) (.f64 (sqrt.f64 2) -1/16))) (.f64 3 (+.f64 1 (.f64 1/2 (+.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) (*.f64 (cos.f64 y) (-.f64 3 (sqrt.f64 5))))))))
(/.f64 (+.f64 2 (.f64 (-.f64 1 (cos.f64 y)) (.f64 (.f64 (sqrt.f64 2) (pow.f64 (sin.f64 y) 2)) -1/16))) (.f64 3 (+.f64 1 (.f64 1/2 (+.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) (*.f64 (cos.f64 y) (-.f64 3 (sqrt.f64 5))))))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2))))) (.f64 3 (+.f64 1 (+.f64 (.f64 (cos.f64 x) (/.f64 (+.f64 (sqrt.f64 5) -1) 2)) (.f64 (cos.f64 y) (/.f64 (-.f64 3 (sqrt.f64 5)) 2))))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (-.f64 1 (cos.f64 y)) (.f64 (pow.f64 (sin.f64 y) 2) (sqrt.f64 2))))) (.f64 3 (+.f64 (+.f64 1 (.f64 (cos.f64 x) (/.f64 (+.f64 (sqrt.f64 5) -1) 2))) (.f64 (cos.f64 y) (/.f64 (-.f64 3 (sqrt.f64 5)) 2)))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (pow.f64 (sin.f64 x) 2) (.f64 (+.f64 (cos.f64 x) -1) (sqrt.f64 2))))) (.f64 3 (+.f64 (+.f64 1 (.f64 (cos.f64 x) (/.f64 (+.f64 (sqrt.f64 5) -1) 2))) (.f64 (cos.f64 y) (/.f64 (-.f64 3 (sqrt.f64 5)) 2)))))
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(+.f64 (.f64 (sqrt.f64 2) (.f64 (.f64 (-.f64 (sin.f64 y) (.f64 (sin.f64 x) 1/16)) (/.f64 (.f64 y (-.f64 (cos.f64 x) (cos.f64 y))) (+.f64 1 (.f64 1/2 (+.f64 (.f64 (+.f64 (sqrt.f64 5) -1) (cos.f64 x)) (.f64 (cos.f64 y) (-.f64 3 (sqrt.f64 5)))))))) -1/48)) (.f64 1/3 (+.f64 (.f64 2 (/.f64 2 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (sqrt.f64 5) -1) (cos.f64 x)) (.f64 (cos.f64 y) (-.f64 3 (sqrt.f64 5)))) 1) 2))) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (/.f64 (.f64 (sqrt.f64 2) (.f64 (sin.f64 x) (-.f64 (sin.f64 y) (.f64 (sin.f64 x) 1/16)))) (+.f64 1 (.f64 1/2 (+.f64 (.f64 (+.f64 (sqrt.f64 5) -1) (cos.f64 x)) (.f64 (cos.f64 y) (-.f64 3 (sqrt.f64 5)))))))))))

Outputs

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

Calls

3 calls:

162.0ms

82.0ms

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

79.0ms

Results

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

Compiler

Compiled 3522 to 2588 computations (26.5% saved)

regimes256.0ms (0.5%)

Counts

69 → 1

Calls

Call 1

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

Outputs

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

Calls

3 calls:

54.0ms

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

39.0ms

34.0ms

Results

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

Compiler

Compiled 2908 to 2151 computations (26% saved)

regimes112.0ms (0.2%)

Counts

60 → 1

Calls

Call 1

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

Outputs

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

Calls

2 calls:

29.0ms	x
29.0ms	y

Results

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

Compiler

Compiled 2404 to 1811 computations (24.7% saved)

regimes112.0ms (0.2%)

Counts

59 → 1

Calls

Call 1

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

Outputs

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

Calls

2 calls:

28.0ms	x
27.0ms	y

Results

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

Compiler

Compiled 2356 to 1780 computations (24.4% saved)

regimes483.0ms (0.8%)

Counts

58 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

2 calls:

226.0ms	y
93.0ms	x

Results

Error	Segments	Branch
13.4b	3	`x`
14.3b	3	`y`

Compiler

Compiled 2308 to 1749 computations (24.2% saved)

bsearch127.0ms (0.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
31.0ms	0.00617173355204633	0.008244608591300166
95.0ms	-37.975007624097536	-1.9391041530520574e-12

Results

60.0ms	55×	body	1024	valid
43.0ms	128×	body	256	valid
17.0ms	25×	body	512	valid

Compiler

Compiled 1357 to 1071 computations (21.1% saved)

regimes179.0ms (0.3%)

Counts

52 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

2 calls:

67.0ms	x
67.0ms	y

Results

Error	Segments	Branch
13.4b	3	`x`
14.3b	3	`y`

Compiler

Compiled 2013 to 1541 computations (23.4% saved)

bsearch123.0ms (0.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
35.0ms	0.00617173355204633	0.008244608591300166
87.0ms	-7153140.676445248	-37.975007624097536

Results

67.0ms	58×	body	1024	valid
40.0ms	118×	body	256	valid
10.0ms	16×	body	512	valid

Compiler

Compiled 1233 to 980 computations (20.5% saved)

regimes445.0ms (0.8%)

Counts

48 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

2 calls:

339.0ms	y
61.0ms	x

Results

Error	Segments	Branch
13.5b	3	`x`
14.3b	3	`y`

Compiler

Compiled 1821 to 1407 computations (22.7% saved)

bsearch843.0ms (1.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
32.0ms	0.00617173355204633	0.008244608591300166
811.0ms	-7153140.676445248	-37.975007624097536

Results

787.0ms	59×	body	1024	valid
38.0ms	116×	body	256	valid
11.0ms	17×	body	512	valid

Compiler

Compiled 1233 to 980 computations (20.5% saved)

regimes157.0ms (0.3%)

Counts

46 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

2 calls:

62.0ms	y
57.0ms	x

Results

Error	Segments	Branch
13.5b	3	`x`
14.6b	3	`y`

Compiler

Compiled 1727 to 1341 computations (22.4% saved)

bsearch146.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
55.0ms	0.00020274019540551954	0.0011312110184911507
90.0ms	-7153140.676445248	-37.975007624097536

Results

75.0ms	70×	body	1024	valid
51.0ms	152×	body	256	valid
13.0ms	18×	body	512	valid

Compiler

Compiled 1482 to 1184 computations (20.1% saved)

regimes152.0ms (0.3%)

Counts

43 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

2 calls:

59.0ms	y
56.0ms	x

Results

Error	Segments	Branch
14.5b	3	`x`
14.6b	3	`y`

Compiler

Compiled 1592 to 1251 computations (21.4% saved)

bsearch342.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
140.0ms	0.00020274019540551954	0.0011312110184911507
201.0ms	-7153140.676445248	-37.975007624097536

Results

168.0ms	154×	body	256	valid
153.0ms	65×	body	1024	valid
14.0ms	21×	body	512	valid

Compiler

Compiled 1449 to 1178 computations (18.7% saved)

regimes135.0ms (0.2%)

Counts

37 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

2 calls:

52.0ms	x
50.0ms	y

Results

Error	Segments	Branch
14.5b	3	`x`
14.7b	3	`y`

Compiler

Compiled 1320 to 1065 computations (19.3% saved)

bsearch154.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
58.0ms	0.00020274019540551954	0.0011312110184911507
96.0ms	-7153140.676445248	-37.975007624097536

Results

83.0ms	78×	body	1024	valid
55.0ms	148×	body	256	valid
9.0ms	14×	body	512	valid

Compiler

Compiled 1449 to 1178 computations (18.7% saved)

regimes121.0ms (0.2%)

Counts

36 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

2 calls:

46.0ms	y
46.0ms	x

Results

Error	Segments	Branch
14.9b	3	`x`
14.8b	3	`y`

Compiler

Compiled 1276 to 1033 computations (19% saved)

bsearch358.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
260.0ms	6.766757484078261e-11	7.173136135667072e-9
97.0ms	-1534025.7440331392	-0.00011518618751979161

Results

271.0ms	73×	body	1024	valid
53.0ms	161×	body	256	valid
26.0ms	38×	body	512	valid

Compiler

Compiled 1634 to 1369 computations (16.2% saved)

regimes468.0ms (0.8%)

Counts

35 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

2 calls:

129.0ms	x
46.0ms	y

Results

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

Compiler

Compiled 1232 to 1001 computations (18.8% saved)

bsearch305.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
56.0ms	0.00020274019540551954	0.0011312110184911507
249.0ms	-37.975007624097536	-1.9391041530520574e-12

Results

215.0ms	168×	body	256	valid
67.0ms	63×	body	1024	valid
16.0ms	25×	body	512	valid

Compiler

Compiled 1359 to 1190 computations (12.4% saved)

regimes117.0ms (0.2%)

Counts

33 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

2 calls:

45.0ms	y
44.0ms	x

Results

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

Compiler

Compiled 1150 to 941 computations (18.2% saved)

bsearch948.0ms (1.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
784.0ms	6.766757484078261e-11	7.173136135667072e-9
164.0ms	-1534025.7440331392	-0.00011518618751979161

Results

781.0ms	63×	body	1024	valid
130.0ms	165×	body	256	valid
29.0ms	44×	body	512	valid

Compiler

Compiled 1460 to 1294 computations (11.4% saved)

regimes197.0ms (0.3%)

Counts

32 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

2 calls:

130.0ms	x
42.0ms	y

Results

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

Compiler

Compiled 1106 to 905 computations (18.2% saved)

bsearch1.1s (1.9%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
64.0ms	6.766757484078261e-11	7.173136135667072e-9
1.0s	-1534025.7440331392	-0.00011518618751979161

Results

830.0ms	71×	body	1024	valid
234.0ms	165×	body	256	valid
26.0ms	36×	body	512	valid

Compiler

Compiled 1400 to 1234 computations (11.9% saved)

regimes1.0s (1.8%)

Counts

24 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

2 calls:

762.0ms	y
33.0ms	x

Results

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

Compiler

Compiled 788 to 651 computations (17.4% saved)

bsearch968.0ms (1.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
379.0ms	6.766757484078261e-11	7.173136135667072e-9
588.0ms	-1534025.7440331392	-0.00011518618751979161

Results

411.0ms	71×	body	1024	valid
138.0ms	166×	body	256	valid
23.0ms	35×	body	512	valid

Compiler

Compiled 1400 to 1234 computations (11.9% saved)

regimes82.0ms (0.1%)

Counts

21 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

2 calls:

34.0ms	y
31.0ms	x

Results

Error	Segments	Branch
15.4b	3	`x`
15.6b	3	`y`

Compiler

Compiled 674 to 562 computations (16.6% saved)

bsearch226.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
137.0ms	0.00020274019540551954	0.0011312110184911507
88.0ms	-7153140.676445248	-37.975007624097536

Results

140.0ms	53×	body	1024	valid
56.0ms	160×	body	256	valid
23.0ms	27×	body	512	valid

Compiler

Compiled 1197 to 1064 computations (11.1% saved)

regimes197.0ms (0.3%)

Counts

14 → 1

Calls

Call 1

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

Outputs

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

Calls

2 calls:

9.0ms	x
8.0ms	y

Results

Error	Segments	Branch
25.9b	1	`x`
25.9b	1	`y`

Compiler

Compiled 421 to 352 computations (16.4% saved)

regimes25.0ms (0%)

Counts

13 → 1

Calls

Call 1

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

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

Calls

2 calls:

9.0ms	y
7.0ms	x

Results

Error	Segments	Branch
38.2b	1	`x`
38.2b	1	`y`

Compiler

Compiled 386 to 323 computations (16.3% saved)

regimes12.0ms (0%)

Counts

3 → 1

Calls

Call 1

Inputs

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

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

(/.f64 (+.f64 2 (*.f64 -1/16 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 1/2 (pow.f64 y 4)) (*.f64 -5/24 (pow.f64 y 6)))))) (*.f64 3 (+.f64 1 (*.f64 1/2 2))))

Outputs
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (+.f64 (.f64 1/2 (pow.f64 y 4)) (.f64 -5/24 (pow.f64 y 6)))))) (.f64 3 (+.f64 1 (.f64 1/2 2))))

Calls

2 calls:

6.0ms	y
3.0ms	x

Results

Error	Segments	Branch
44.4b	1	`x`
44.4b	1	`y`

Compiler

Compiled 77 to 70 computations (9.1% saved)

regimes8.0ms (0%)

Accuracy

Total -0.1b remaining (-0.1%)

Threshold costs -0.1b (-0.1%)

Counts

2 → 1

Calls

Call 1

Inputs

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

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

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

Calls

2 calls:

3.0ms	y
3.0ms	x

Results

Error	Segments	Branch
44.6b	1	`x`
44.6b	1	`y`

Compiler

Compiled 51 to 46 computations (9.8% saved)

simplify56.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	248	5859

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(/.f64 (/.f64 (+.f64 2 (.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)) (.f64 (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16)) (.f64 (sqrt.f64 2) (-.f64 (+.f64 (-.f64 -1 (cos.f64 y)) (cos.f64 x)) -1))))) 3) (+.f64 1 (.f64 1/2 (+.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) (.f64 (cos.f64 y) (-.f64 3 (sqrt.f64 5)))))))
(/.f64 (/.f64 (+.f64 2 (.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)) (.f64 (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16)) (.f64 (sqrt.f64 2) (-.f64 (cos.f64 x) (cos.f64 y)))))) 3) (+.f64 1 (.f64 1/2 (+.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) (.f64 (cos.f64 y) (-.f64 3 (sqrt.f64 5)))))))
(/.f64 (+.f64 2 (.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16)) (.f64 (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x))) (-.f64 (cos.f64 x) (cos.f64 y)))))) (.f64 3 (+.f64 1 (.f64 1/2 (+.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) (*.f64 (cos.f64 y) (-.f64 3 (sqrt.f64 5))))))))
(/.f64 (+.f64 2 (.f64 (sqrt.f64 2) (.f64 (.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y))))) (.f64 3 (+.f64 1 (.f64 1/2 (+.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) (*.f64 (cos.f64 y) (-.f64 3 (sqrt.f64 5))))))))
(if (<=.f64 x -3458764513820541/72057594037927936) (/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (sin.f64 x)) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y))))) (if (<=.f64 x 1152921504606847/144115188075855872) (/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (+.f64 x (.f64 -1/16 (sin.f64 y)))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y))))) (/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (sin.f64 x)) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (*.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))))
(if (<=.f64 x -38) (/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (sin.f64 x)) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y))))) (if (<=.f64 x 1152921504606847/144115188075855872) (/.f64 (/.f64 (+.f64 2 (.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)) (.f64 (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16)) (.f64 (sqrt.f64 2) (-.f64 1 (cos.f64 y)))))) 3) (+.f64 1 (.f64 1/2 (+.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) (.f64 (cos.f64 y) (-.f64 3 (sqrt.f64 5))))))) (/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (sin.f64 x)) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))))
(if (<=.f64 x -38) (/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (sin.f64 x)) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y))))) (if (<=.f64 x 8070450532247929/1152921504606846976) (/.f64 (+.f64 2 (.f64 (sqrt.f64 2) (.f64 (.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 1 (cos.f64 y))))) (.f64 3 (+.f64 1 (.f64 1/2 (+.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) (.f64 (cos.f64 y) (-.f64 3 (sqrt.f64 5)))))))) (/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (sin.f64 x)) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (*.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))))
(if (<=.f64 x -38) (/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (sin.f64 x)) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y))))) (if (<=.f64 x 1936908127739503/9223372036854775808) (/.f64 (/.f64 (+.f64 2 (.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)) (.f64 (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16)) (.f64 (sqrt.f64 2) (-.f64 1 (cos.f64 y)))))) 3) (+.f64 1 (.f64 1/2 (+.f64 (.f64 (cos.f64 y) (-.f64 3 (sqrt.f64 5))) (+.f64 (sqrt.f64 5) -1))))) (/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (sin.f64 x)) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (*.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))))
(if (<=.f64 x -38) (/.f64 (/.f64 (+.f64 2 (.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)) (.f64 (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16)) (.f64 (sqrt.f64 2) (-.f64 (cos.f64 x) 1))))) 3) (+.f64 1 (.f64 1/2 (+.f64 (-.f64 3 (sqrt.f64 5)) (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)))))) (if (<=.f64 x 8669969714643489/18446744073709551616) (/.f64 (/.f64 (+.f64 2 (.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)) (.f64 (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16)) (.f64 (sqrt.f64 2) (-.f64 1 (cos.f64 y)))))) 3) (+.f64 1 (.f64 1/2 (+.f64 (.f64 (cos.f64 y) (-.f64 3 (sqrt.f64 5))) (+.f64 (sqrt.f64 5) -1))))) (/.f64 (+.f64 2 (.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 -1/16 (pow.f64 (sin.f64 x) 2))))) (.f64 3 (+.f64 (+.f64 1 (.f64 (cos.f64 x) (/.f64 (+.f64 (sqrt.f64 5) -1) 2))) (.f64 (cos.f64 y) (/.f64 (-.f64 3 (sqrt.f64 5)) 2)))))))
(if (<=.f64 x -38) (/.f64 (+.f64 2 (.f64 (sqrt.f64 2) (.f64 (.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) 1)))) (.f64 3 (+.f64 1 (.f64 1/2 (+.f64 (-.f64 3 (sqrt.f64 5)) (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1))))))) (if (<=.f64 x 8854437155380585/18446744073709551616) (/.f64 (/.f64 (+.f64 2 (.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)) (.f64 (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16)) (.f64 (sqrt.f64 2) (-.f64 1 (cos.f64 y)))))) 3) (+.f64 1 (.f64 1/2 (+.f64 (.f64 (cos.f64 y) (-.f64 3 (sqrt.f64 5))) (+.f64 (sqrt.f64 5) -1))))) (/.f64 (+.f64 2 (.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 -1/16 (pow.f64 (sin.f64 x) 2))))) (.f64 3 (+.f64 (+.f64 1 (.f64 (cos.f64 x) (/.f64 (+.f64 (sqrt.f64 5) -1) 2))) (*.f64 (cos.f64 y) (/.f64 (-.f64 3 (sqrt.f64 5)) 2)))))))
(if (<=.f64 y -7932099951695107/36893488147419103232) (/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (+.f64 -2 (-.f64 1 (+.f64 (cos.f64 y) -2))) (pow.f64 (sin.f64 y) 2))))) (.f64 3 (+.f64 1 (+.f64 (.f64 (cos.f64 x) (/.f64 (+.f64 (sqrt.f64 5) -1) 2)) (.f64 (cos.f64 y) (/.f64 (-.f64 3 (sqrt.f64 5)) 2)))))) (if (<=.f64 y 2115620184325601/302231454903657293676544) (/.f64 (+.f64 2 (.f64 (sqrt.f64 2) (.f64 (.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) 1)))) (.f64 3 (+.f64 1 (.f64 1/2 (+.f64 (-.f64 3 (sqrt.f64 5)) (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1))))))) (/.f64 (+.f64 2 (.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 -1/16 (pow.f64 (sin.f64 y) 2))))) (.f64 3 (+.f64 (+.f64 1 (.f64 (cos.f64 x) (/.f64 (+.f64 (sqrt.f64 5) -1) 2))) (.f64 (cos.f64 y) (/.f64 (-.f64 3 (sqrt.f64 5)) 2)))))))
(if (<=.f64 x -4958484807013127/2361183241434822606848) (/.f64 (+.f64 2 (.f64 -1/16 (.f64 (pow.f64 (sin.f64 x) 2) (.f64 (+.f64 (cos.f64 x) -1) (sqrt.f64 2))))) (.f64 3 (+.f64 (+.f64 1 (.f64 (cos.f64 x) (/.f64 (+.f64 (sqrt.f64 5) -1) 2))) (.f64 (cos.f64 y) (/.f64 (-.f64 3 (sqrt.f64 5)) 2))))) (if (<=.f64 x 1890791267555229/9223372036854775808) (/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2))))) (.f64 3 (+.f64 1 (.f64 1/2 (+.f64 (.f64 (cos.f64 y) (-.f64 3 (sqrt.f64 5))) (+.f64 (sqrt.f64 5) -1)))))) (/.f64 (+.f64 2 (.f64 (sqrt.f64 2) (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 -1/16 (pow.f64 (sin.f64 x) 2))))) (.f64 3 (+.f64 (+.f64 1 (.f64 (cos.f64 x) (/.f64 (+.f64 (sqrt.f64 5) -1) 2))) (.f64 (cos.f64 y) (/.f64 (-.f64 3 (sqrt.f64 5)) 2)))))))
(if (<=.f64 y -534955578137577/4611686018427387904) (/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (+.f64 -2 (-.f64 1 (+.f64 (cos.f64 y) -2))) (pow.f64 (sin.f64 y) 2))))) (.f64 3 (+.f64 1 (+.f64 (.f64 (cos.f64 x) (/.f64 (+.f64 (sqrt.f64 5) -1) 2)) (.f64 (cos.f64 y) (/.f64 (-.f64 3 (sqrt.f64 5)) 2)))))) (if (<=.f64 y 2115620184325601/302231454903657293676544) (.f64 1/3 (/.f64 (+.f64 2 (.f64 -1/16 (.f64 (pow.f64 (sin.f64 x) 2) (.f64 (sqrt.f64 2) (+.f64 (cos.f64 x) -1))))) (+.f64 1 (.f64 1/2 (+.f64 (-.f64 3 (sqrt.f64 5)) (.f64 (+.f64 (sqrt.f64 5) -1) (cos.f64 x))))))) (/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2))))) (.f64 3 (+.f64 1 (.f64 1/2 (+.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) (*.f64 (cos.f64 y) (-.f64 3 (sqrt.f64 5))))))))))
(if (<=.f64 y -534955578137577/4611686018427387904) (/.f64 (+.f64 2 (.f64 (-.f64 1 (cos.f64 y)) (.f64 (.f64 (sqrt.f64 2) (pow.f64 (sin.f64 y) 2)) -1/16))) (.f64 3 (+.f64 1 (.f64 1/2 (+.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) (.f64 (cos.f64 y) (-.f64 3 (sqrt.f64 5)))))))) (if (<=.f64 y 2115620184325601/302231454903657293676544) (.f64 1/3 (/.f64 (+.f64 2 (.f64 -1/16 (.f64 (pow.f64 (sin.f64 x) 2) (.f64 (sqrt.f64 2) (+.f64 (cos.f64 x) -1))))) (+.f64 1 (.f64 1/2 (+.f64 (-.f64 3 (sqrt.f64 5)) (.f64 (+.f64 (sqrt.f64 5) -1) (cos.f64 x))))))) (/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2))))) (.f64 3 (+.f64 1 (.f64 1/2 (+.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) (.f64 (cos.f64 y) (-.f64 3 (sqrt.f64 5))))))))))
(if (<=.f64 y -534955578137577/4611686018427387904) (/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2))))) (.f64 3 (+.f64 1 (.f64 1/2 (+.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) (.f64 (cos.f64 y) (-.f64 3 (sqrt.f64 5)))))))) (if (<=.f64 y 2115620184325601/302231454903657293676544) (.f64 1/3 (/.f64 (+.f64 2 (.f64 -1/16 (.f64 (pow.f64 (sin.f64 x) 2) (.f64 (sqrt.f64 2) (+.f64 (cos.f64 x) -1))))) (+.f64 1 (.f64 1/2 (+.f64 (-.f64 3 (sqrt.f64 5)) (.f64 (+.f64 (sqrt.f64 5) -1) (cos.f64 x))))))) (/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2))))) (.f64 3 (+.f64 1 (.f64 1/2 (+.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) (.f64 (cos.f64 y) (-.f64 3 (sqrt.f64 5))))))))))
(if (<=.f64 x -38) (.f64 1/3 (/.f64 (+.f64 2 (.f64 -1/16 (.f64 (pow.f64 (sin.f64 x) 2) (.f64 (sqrt.f64 2) (+.f64 (cos.f64 x) -1))))) (+.f64 1 (.f64 1/2 (+.f64 (-.f64 3 (sqrt.f64 5)) (.f64 (+.f64 (sqrt.f64 5) -1) (cos.f64 x))))))) (if (<=.f64 x 7932099951695107/36893488147419103232) (/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2))))) (.f64 3 (+.f64 1 (.f64 1/2 (+.f64 (.f64 (cos.f64 y) (-.f64 3 (sqrt.f64 5))) (+.f64 (sqrt.f64 5) -1)))))) (.f64 1/3 (/.f64 (+.f64 2 (.f64 -1/16 (.f64 (pow.f64 (sin.f64 x) 2) (.f64 (sqrt.f64 2) (+.f64 (cos.f64 x) -1))))) (+.f64 1 (.f64 1/2 (+.f64 (-.f64 3 (sqrt.f64 5)) (.f64 (+.f64 (sqrt.f64 5) -1) (cos.f64 x)))))))))
(.f64 1/3 (/.f64 (+.f64 2 (.f64 -1/16 (.f64 (pow.f64 (sin.f64 x) 2) (.f64 (sqrt.f64 2) (+.f64 (cos.f64 x) -1))))) (+.f64 1 (.f64 1/2 (+.f64 (-.f64 3 (sqrt.f64 5)) (.f64 (+.f64 (sqrt.f64 5) -1) (cos.f64 x)))))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2))))) (.f64 3 (+.f64 1 (*.f64 1/2 2))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (+.f64 (.f64 1/2 (pow.f64 y 4)) (.f64 -5/24 (pow.f64 y 6)))))) (.f64 3 (+.f64 1 (.f64 1/2 2))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 y 2))))) (.f64 3 (+.f64 1 (*.f64 1/2 2))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 1/2 (pow.f64 y 4))))) (.f64 3 (+.f64 1 (*.f64 1/2 2))))

Outputs
(/.f64 (/.f64 (+.f64 2 (.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)) (.f64 (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16)) (.f64 (sqrt.f64 2) (-.f64 (+.f64 (-.f64 -1 (cos.f64 y)) (cos.f64 x)) -1))))) 3) (+.f64 1 (.f64 1/2 (+.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) (.f64 (cos.f64 y) (-.f64 3 (sqrt.f64 5)))))))
(/.f64 (/.f64 (+.f64 2 (.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)) (.f64 (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16)) (.f64 (sqrt.f64 2) (-.f64 (cos.f64 x) (cos.f64 y)))))) 3) (+.f64 1 (.f64 1/2 (+.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) (.f64 (cos.f64 y) (-.f64 3 (sqrt.f64 5)))))))
(/.f64 (+.f64 2 (.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 x) (.f64 (sin.f64 y) 1/16)) (.f64 (-.f64 (sin.f64 y) (.f64 1/16 (sin.f64 x))) (-.f64 (cos.f64 x) (cos.f64 y)))))) (.f64 3 (+.f64 1 (.f64 1/2 (+.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) (*.f64 (cos.f64 y) (-.f64 3 (sqrt.f64 5))))))))
(/.f64 (+.f64 2 (.f64 (sqrt.f64 2) (.f64 (.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y))))) (.f64 3 (+.f64 1 (.f64 1/2 (+.f64 (.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) (*.f64 (cos.f64 y) (-.f64 3 (sqrt.f64 5))))))))
(if (<=.f64 x -3458764513820541/72057594037927936) (/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (sin.f64 x)) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y))))) (if (<=.f64 x 1152921504606847/144115188075855872) (/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (+.f64 x (.f64 -1/16 (sin.f64 y)))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y))))) (/.f64 (+.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 2) (sin.f64 x)) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 3 (+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (*.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y)))))))
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(.f64 1/3 (/.f64 (+.f64 2 (.f64 -1/16 (.f64 (pow.f64 (sin.f64 x) 2) (.f64 (sqrt.f64 2) (+.f64 (cos.f64 x) -1))))) (+.f64 1 (.f64 1/2 (+.f64 (-.f64 3 (sqrt.f64 5)) (.f64 (+.f64 (sqrt.f64 5) -1) (cos.f64 x)))))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2))))) (.f64 3 (+.f64 1 (*.f64 1/2 2))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (*.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (sin.f64 y) 2))))) 6)
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (+.f64 (.f64 1/2 (pow.f64 y 4)) (.f64 -5/24 (pow.f64 y 6)))))) (.f64 3 (+.f64 1 (.f64 1/2 2))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (+.f64 (.f64 1/2 (pow.f64 y 4)) (.f64 -5/24 (pow.f64 y 6)))))) 6)
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 (-.f64 1 (cos.f64 y)) (pow.f64 y 2))))) (.f64 3 (+.f64 1 (*.f64 1/2 2))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (*.f64 (-.f64 1 (cos.f64 y)) (pow.f64 y 2))))) 6)
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (.f64 1/2 (pow.f64 y 4))))) (.f64 3 (+.f64 1 (*.f64 1/2 2))))
(/.f64 (+.f64 2 (.f64 -1/16 (.f64 (sqrt.f64 2) (*.f64 1/2 (pow.f64 y 4))))) 6)

Compiler

Compiled 1932 to 1519 computations (21.4% saved)

soundness459.0ms (0.8%)

Algorithm

2×	egg-herbie

Rules

2138×	`rational.json-simplify-35`
1700×	`rational.json-simplify-35`
1486×	`rational.json-simplify-51`
1052×	`rational.json-simplify-48`
1012×	`rational.json-simplify-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	159
1	74	159
2	133	159
3	245	159
4	543	159
5	1374	159
6	2353	159
7	3947	159
8	6911	159
0	330	7289
1	768	6907
2	1755	6757
3	3485	6669
4	5784	6669
5	6803	6549

Stop Event

1×	node limit
1×	node limit

Compiler

Compiled 691 to 486 computations (29.7% saved)

end4.4s (7.8%)

Compiler: Compiled 1892 to 1404 computations (25.8% saved)