Details

analyze0.0ms (0%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
100%	99.9%	0%	0.1%	0%	0%	0%	1

Compiler

Compiled 10 to 7 computations (30% saved)

sample4.6s (27.8%)

Results

2.0s	2138×	body	2048	valid
2.0s	3952×	body	1024	valid
431.0ms	1409×	body	512	valid
104.0ms	755×	body	256	valid
3.0ms	2×	body	4096	valid

Bogosity

preprocess16.0ms (0.1%)

Algorithm

2×	egg-herbie

Rules

144×	`fma-def`
80×	`associate--r+`
72×	`associate-+l-`
56×	`+-commutative`
48×	`associate--l+`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	42
1	19	42
2	27	42
3	41	42
4	56	42
5	84	42
6	172	42
7	237	42
8	318	42
9	399	42
10	447	42
11	451	42
0	2	2

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

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

Outputs
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 eps))
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 eps))

Compiler

Compiled 11 to 8 computations (27.3% saved)

simplify20.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

80×	`fma-def`
42×	`associate--r+`
38×	`associate-+l-`
30×	`+-commutative`
24×	`associate--l+`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	21
1	12	21
2	17	21
3	25	21
4	34	21
5	51	21
6	103	21
7	143	21
8	187	21
9	230	21
10	254	21
11	256	21

Stop Event

1×

saturated

Counts

1 → 1

Calls

Call 1

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

Outputs
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

eval0.0ms (0%)

Compiler: Compiled 9 to 6 computations (33.3% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

63.59%

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	63.59%	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Compiler

Compiled 9 to 6 computations (33.3% saved)

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	1.68%	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
✓	5.96%	(cos.f64 (+.f64 x eps))

Compiler

Compiled 20 to 6 computations (70% saved)

series4.0ms (0%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
0.0ms	eps	@	inf	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
0.0ms	x	@	0	(cos.f64 (+.f64 x eps))
0.0ms	eps	@	0	(cos.f64 (+.f64 x eps))
0.0ms	eps	@	0	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

rewrite90.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1076×	`*-commutative`
908×	`associate-*r/`
752×	`distribute-lft-in`
736×	`distribute-rgt-in`
690×	`associate-*l/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	32
1	212	32
2	3121	32

Stop Event

1×	node limit

Counts

2 → 160

Calls

Call 1

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

Outputs
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(.f64 (sin.f64 x) (sin.f64 eps)))) 1) (+.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (.f64 (sin.f64 x) (sin.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 (pow.f64 (.f64 (cos.f64 x) (cos.f64 eps)) 3) (pow.f64 (.f64 (sin.f64 x) (sin.f64 eps)) 3)) 1) (+.f64 (.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (.f64 (cos.f64 x) (cos.f64 eps))) (+.f64 (.f64 (.f64 (sin.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (sin.f64 eps))) (.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (.f64 (sin.f64 x) (sin.f64 eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cos.f64 (+.f64 x eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (cos.f64 (+.f64 x eps))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 (+.f64 x eps)) (neg.f64 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 (+.f64 x eps)) (+.f64 (fma.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x) (.f64 (sin.f64 x) (sin.f64 eps))) (neg.f64 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 (+.f64 x eps)) (+.f64 (neg.f64 (cos.f64 x)) (fma.f64 (neg.f64 (cos.f64 x)) 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 (+.f64 x eps)) (+.f64 (neg.f64 (cos.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 (+.f64 x eps)) (+.f64 (neg.f64 (cos.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (cos.f64 x))) (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 (+.f64 x eps)) (-.f64 (fma.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x) (.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x)))))) (#(struct:change 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Outputs

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simplify134.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1352×	`associate-+l-`
1152×	`associate-+r-`
828×	`fma-def`
724×	`associate--r+`
538×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	456	10932
1	1283	10512
2	5920	10512

Stop Event

1×	node limit

Counts

208 → 286

Calls

Call 1

Inputs
(cos.f64 eps)
(+.f64 (cos.f64 eps) (.f64 -1 (.f64 x (sin.f64 eps))))
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(*.f64 (-.f64 (sqrt.f64 (cos.f64 (+.f64 x eps))) (sqrt.f64 (cos.f64 x))) (+.f64 (sqrt.f64 (cos.f64 x)) (sqrt.f64 (cos.f64 (+.f64 x eps)))))
(*.f64 (/.f64 1 (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (pow.f64 (cos.f64 x) 2)))
(.f64 (/.f64 1 (+.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))) (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3) (pow.f64 (cos.f64 x) 3)))
(*.f64 (/.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (pow.f64 (cos.f64 x) 2)) (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (pow.f64 (cos.f64 x) 2))) (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))
(.f64 (/.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (pow.f64 (cos.f64 x) 2)) (+.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3) (pow.f64 (cos.f64 x) 3))) (-.f64 (+.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 (+.f64 x eps)) 2)) (.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
(.f64 (/.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3) (pow.f64 (cos.f64 x) 3)) (-.f64 (.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (pow.f64 (cos.f64 (+.f64 x eps)) 2)) (.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) (.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))))) (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))))
(.f64 (/.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3) (pow.f64 (cos.f64 x) 3)) (+.f64 (pow.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) 3) (pow.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 3))) (+.f64 (.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (pow.f64 (cos.f64 (+.f64 x eps)) 2)) (-.f64 (.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) (.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))) (.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))))))
(/.f64 1 (/.f64 1 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
(/.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (pow.f64 (cos.f64 x) 2)) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))
(/.f64 (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (/.f64 (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
(/.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3) (pow.f64 (cos.f64 x) 3)) (+.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (*.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))))
(/.f64 (+.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))) (/.f64 (+.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))) (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3) (pow.f64 (cos.f64 x) 3))) (/.f64 (+.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (*.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))) (sqrt.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3) (pow.f64 (cos.f64 x) 3)))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (pow.f64 (cos.f64 x) 2))) (/.f64 (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (sqrt.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (pow.f64 (cos.f64 x) 2)))))
(/.f64 (.f64 (cbrt.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3) (pow.f64 (cos.f64 x) 3))) (cbrt.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3) (pow.f64 (cos.f64 x) 3)))) (/.f64 (+.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))) (cbrt.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3) (pow.f64 (cos.f64 x) 3)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (pow.f64 (cos.f64 x) 2))) (cbrt.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (pow.f64 (cos.f64 x) 2)))) (/.f64 (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (cbrt.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (pow.f64 (cos.f64 x) 2)))))
(/.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (*.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x)))) (-.f64 (cos.f64 (+.f64 x eps)) (neg.f64 (cos.f64 x))))
(/.f64 (-.f64 (.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (pow.f64 (cos.f64 (+.f64 x eps)) 2)) (.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (*.f64 (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (+.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 (+.f64 x eps)) 2))))
(/.f64 (-.f64 (.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3) (pow.f64 (cos.f64 (+.f64 x eps)) 3)) (.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (.f64 (+.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))) (+.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3) (pow.f64 (cos.f64 x) 3))))
(/.f64 (+.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3) (pow.f64 (neg.f64 (cos.f64 x)) 3)) (+.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (-.f64 (.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x))) (.f64 (cos.f64 (+.f64 x eps)) (neg.f64 (cos.f64 x))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) 3) (pow.f64 (pow.f64 (cos.f64 x) 2) 3)) (.f64 (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (+.f64 (.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (pow.f64 (cos.f64 (+.f64 x eps)) 2)) (+.f64 (.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 (+.f64 x eps)) 2))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3) 3) (pow.f64 (pow.f64 (cos.f64 x) 3) 3)) (.f64 (+.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))) (+.f64 (.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3) (pow.f64 (cos.f64 (+.f64 x eps)) 3)) (+.f64 (.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (cos.f64 x) 3)) (*.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3) (pow.f64 (cos.f64 x) 3))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (pow.f64 (cos.f64 x) 2))) (neg.f64 (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3) (pow.f64 (cos.f64 x) 3))) (neg.f64 (+.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (*.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))))
(/.f64 (.f64 1 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x))))) (-.f64 (cos.f64 (+.f64 x eps)) (neg.f64 (cos.f64 x))))
(/.f64 (.f64 1 (+.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3) (pow.f64 (neg.f64 (cos.f64 x)) 3))) (+.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (-.f64 (.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x))) (*.f64 (cos.f64 (+.f64 x eps)) (neg.f64 (cos.f64 x))))))
(/.f64 (*.f64 1 (neg.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (pow.f64 (cos.f64 x) 2)))) (neg.f64 (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
(/.f64 (.f64 1 (neg.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3) (pow.f64 (cos.f64 x) 3)))) (neg.f64 (+.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))))
(/.f64 (.f64 (sqrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) (sqrt.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3) (pow.f64 (cos.f64 x) 3)))) (sqrt.f64 (+.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) (sqrt.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (pow.f64 (cos.f64 x) 2)))) (sqrt.f64 (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 2) (cbrt.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3) (pow.f64 (cos.f64 x) 3)))) (cbrt.f64 (+.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 2) (cbrt.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (pow.f64 (cos.f64 x) 2)))) (cbrt.f64 (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
(/.f64 (.f64 -2 (-.f64 (cos.f64 (-.f64 (.f64 (+.f64 x (-.f64 eps x)) 1/2) (.f64 (+.f64 eps (+.f64 x x)) 1/2))) (cos.f64 (+.f64 (.f64 (+.f64 x (-.f64 eps x)) 1/2) (*.f64 (+.f64 eps (+.f64 x x)) 1/2))))) 2)
(/.f64 (.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x)))) 1) (-.f64 (cos.f64 (+.f64 x eps)) (neg.f64 (cos.f64 x))))
(/.f64 (.f64 (+.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3) (pow.f64 (neg.f64 (cos.f64 x)) 3)) 1) (+.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (-.f64 (.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x))) (*.f64 (cos.f64 (+.f64 x eps)) (neg.f64 (cos.f64 x))))))
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (pow.f64 (cos.f64 x) 2))) 1) (neg.f64 (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
(/.f64 (.f64 (neg.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3) (pow.f64 (cos.f64 x) 3))) 1) (neg.f64 (+.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))))
(/.f64 (.f64 (sqrt.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3) (pow.f64 (cos.f64 x) 3))) (sqrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))) (sqrt.f64 (+.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (pow.f64 (cos.f64 x) 2))) (sqrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))) (sqrt.f64 (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
(/.f64 (.f64 (cbrt.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3) (pow.f64 (cos.f64 x) 3))) (pow.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 2)) (cbrt.f64 (+.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (pow.f64 (cos.f64 x) 2))) (pow.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 2)) (cbrt.f64 (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (pow.f64 (cos.f64 (+.f64 x eps)) 2)) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (/.f64 1 (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))) (+.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 (+.f64 x eps)) 2)))
(/.f64 (.f64 (-.f64 (pow.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) 3) (pow.f64 (pow.f64 (cos.f64 x) 2) 3)) (/.f64 1 (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))) (+.f64 (.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (pow.f64 (cos.f64 (+.f64 x eps)) 2)) (+.f64 (.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 (+.f64 x eps)) 2)))))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3) (pow.f64 (cos.f64 (+.f64 x eps)) 3)) (.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (/.f64 1 (+.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))))) (+.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3) (pow.f64 (cos.f64 x) 3)))
(/.f64 (.f64 (-.f64 (pow.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3) 3) (pow.f64 (pow.f64 (cos.f64 x) 3) 3)) (/.f64 1 (+.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))))) (+.f64 (.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3) (pow.f64 (cos.f64 (+.f64 x eps)) 3)) (+.f64 (.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (cos.f64 x) 3)) (*.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3) (pow.f64 (cos.f64 x) 3)))))
(/.f64 (.f64 (-.f64 (cos.f64 (-.f64 (.f64 (+.f64 x (-.f64 eps x)) 1/2) (.f64 (+.f64 eps (+.f64 x x)) 1/2))) (cos.f64 (+.f64 (.f64 (+.f64 x (-.f64 eps x)) 1/2) (*.f64 (+.f64 eps (+.f64 x x)) 1/2)))) -2) 2)
(/.f64 (/.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (pow.f64 (cos.f64 x) 2)) 1) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))
(/.f64 (/.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (pow.f64 (cos.f64 x) 2)) 2) (.f64 (cos.f64 (.f64 (+.f64 eps (+.f64 x x)) 1/2)) (cos.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2))))
(/.f64 (/.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (pow.f64 (cos.f64 x) 2)) (sqrt.f64 (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))) (sqrt.f64 (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
(/.f64 (/.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (pow.f64 (cos.f64 x) 2)) (*.f64 (cbrt.f64 (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) (cbrt.f64 (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))) (cbrt.f64 (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
(/.f64 (/.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3) (pow.f64 (cos.f64 x) 3)) 1) (+.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (*.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3) (pow.f64 (cos.f64 x) 3)) (sqrt.f64 (+.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))))) (sqrt.f64 (+.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3) (pow.f64 (cos.f64 x) 3)) (.f64 (cbrt.f64 (+.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))) (cbrt.f64 (+.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))))) (cbrt.f64 (+.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))))
(pow.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 1)
(pow.f64 (sqrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 2)
(pow.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 3)
(pow.f64 (pow.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 3) 1/3)
(sqrt.f64 (pow.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 2))
(log.f64 (exp.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))))
(cbrt.f64 (pow.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 3))
(expm1.f64 (log1p.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
(exp.f64 (log.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
(log1p.f64 (expm1.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
(fma.f64 1 (cos.f64 (+.f64 x eps)) (neg.f64 (cos.f64 x)))
(fma.f64 (sqrt.f64 (cos.f64 (+.f64 x eps))) (sqrt.f64 (cos.f64 (+.f64 x eps))) (neg.f64 (cos.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) 2) (cbrt.f64 (cos.f64 (+.f64 x eps))) (neg.f64 (cos.f64 x)))

Outputs
(cos.f64 eps)
(+.f64 (cos.f64 eps) (.f64 -1 (.f64 x (sin.f64 eps))))
(+.f64 (cos.f64 eps) (*.f64 (neg.f64 x) (sin.f64 eps)))
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(/.f64 (sqrt.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 2) (pow.f64 (cos.f64 x) 2))) (/.f64 (sqrt.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))) (sqrt.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))) (sqrt.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))))) (sqrt.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 2) (pow.f64 (cos.f64 x) 2))))
(/.f64 (.f64 (cbrt.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3) (pow.f64 (cos.f64 x) 3))) (pow.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 2)) (cbrt.f64 (+.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))))
(/.f64 (pow.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))) 2) (/.f64 (cbrt.f64 (+.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 2) (*.f64 (cos.f64 x) (+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))))) (cbrt.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 3) (pow.f64 (cos.f64 x) 3)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))) 2) (cbrt.f64 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))) (pow.f64 (cos.f64 (+.f64 eps x)) 2)))) (cbrt.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 3) (pow.f64 (cos.f64 x) 3))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (pow.f64 (cos.f64 x) 2))) (pow.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 2)) (cbrt.f64 (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
(/.f64 (pow.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))) 2) (/.f64 (cbrt.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))) (cbrt.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 2) (pow.f64 (cos.f64 x) 2)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))) 2) (cbrt.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))))) (cbrt.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 2) (pow.f64 (cos.f64 x) 2))))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (pow.f64 (cos.f64 (+.f64 x eps)) 2)) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (/.f64 1 (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))) (+.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 (+.f64 x eps)) 2)))
(/.f64 (/.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 4) (pow.f64 (cos.f64 x) 4)) (+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))) (+.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 2) (pow.f64 (cos.f64 x) 2)))
(*.f64 (/.f64 (+.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 2) (pow.f64 (cos.f64 x) 2)) (+.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 2) (pow.f64 (cos.f64 x) 2))) (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(/.f64 (.f64 (-.f64 (pow.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) 3) (pow.f64 (pow.f64 (cos.f64 x) 2) 3)) (/.f64 1 (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))) (+.f64 (.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (pow.f64 (cos.f64 (+.f64 x eps)) 2)) (+.f64 (.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 (+.f64 x eps)) 2)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 2) 3) (pow.f64 (pow.f64 (cos.f64 x) 2) 3)) (+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))) (+.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 4) (*.f64 (pow.f64 (cos.f64 x) 2) (+.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 2) (pow.f64 (cos.f64 x) 2)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 6) (pow.f64 (cos.f64 x) 6)) (+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))) (+.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 4) (fma.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 2) (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 4))))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3) (pow.f64 (cos.f64 (+.f64 x eps)) 3)) (.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (/.f64 1 (+.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))))) (+.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3) (pow.f64 (cos.f64 x) 3)))
(/.f64 (/.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 6) (pow.f64 (cos.f64 x) 6)) (+.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 2) (*.f64 (cos.f64 x) (+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))))) (+.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 3) (pow.f64 (cos.f64 x) 3)))
(/.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 6) (pow.f64 (cos.f64 x) 6)) (*.f64 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))) (pow.f64 (cos.f64 (+.f64 eps x)) 2)) (+.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 3) (pow.f64 (cos.f64 x) 3))))
(/.f64 (.f64 (-.f64 (pow.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3) 3) (pow.f64 (pow.f64 (cos.f64 x) 3) 3)) (/.f64 1 (+.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))))) (+.f64 (.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3) (pow.f64 (cos.f64 (+.f64 x eps)) 3)) (+.f64 (.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (cos.f64 x) 3)) (*.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3) (pow.f64 (cos.f64 x) 3)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 3) 3) (pow.f64 (pow.f64 (cos.f64 x) 3) 3)) (.f64 (+.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 2) (.f64 (cos.f64 x) (+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))))) (+.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 6) (*.f64 (pow.f64 (cos.f64 x) 3) (+.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 3) (pow.f64 (cos.f64 x) 3))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 3) 3) (pow.f64 (pow.f64 (cos.f64 x) 3) 3)) (*.f64 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))) (pow.f64 (cos.f64 (+.f64 eps x)) 2)) (fma.f64 (pow.f64 (cos.f64 x) 3) (+.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 3) (pow.f64 (cos.f64 x) 3)) (pow.f64 (cos.f64 (+.f64 eps x)) 6))))
(/.f64 (.f64 (-.f64 (cos.f64 (-.f64 (.f64 (+.f64 x (-.f64 eps x)) 1/2) (.f64 (+.f64 eps (+.f64 x x)) 1/2))) (cos.f64 (+.f64 (.f64 (+.f64 x (-.f64 eps x)) 1/2) (*.f64 (+.f64 eps (+.f64 x x)) 1/2)))) -2) 2)
(/.f64 (-.f64 (cos.f64 (.f64 1/2 (-.f64 (+.f64 x (-.f64 eps x)) (+.f64 (+.f64 eps x) x)))) (cos.f64 (.f64 1/2 (+.f64 (+.f64 x (-.f64 eps x)) (+.f64 (+.f64 eps x) x))))) -1)
(.f64 -1 (-.f64 (cos.f64 (.f64 1/2 (+.f64 x (-.f64 (-.f64 eps x) (fma.f64 2 x eps))))) (cos.f64 (*.f64 1/2 (+.f64 x (+.f64 (-.f64 eps x) (fma.f64 2 x eps)))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (pow.f64 (cos.f64 x) 2)) 1) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(/.f64 (/.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (pow.f64 (cos.f64 x) 2)) 2) (.f64 (cos.f64 (.f64 (+.f64 eps (+.f64 x x)) 1/2)) (cos.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2))))
(/.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 2) (pow.f64 (cos.f64 x) 2)) (.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 (+.f64 eps x) x))) (cos.f64 (.f64 1/2 (+.f64 x (-.f64 eps x))))) 2))
(.f64 (/.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 2) (pow.f64 (cos.f64 x) 2)) (.f64 (cos.f64 (.f64 1/2 (fma.f64 2 x eps))) (cos.f64 (.f64 1/2 (+.f64 eps (-.f64 x x)))))) 1/2)
(/.f64 (/.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (pow.f64 (cos.f64 x) 2)) (sqrt.f64 (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))) (sqrt.f64 (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(/.f64 (/.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (pow.f64 (cos.f64 x) 2)) (*.f64 (cbrt.f64 (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) (cbrt.f64 (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))) (cbrt.f64 (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(/.f64 (/.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3) (pow.f64 (cos.f64 x) 3)) 1) (+.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (*.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))))
(/.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 3) (pow.f64 (cos.f64 x) 3)) (+.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 2) (*.f64 (cos.f64 x) (+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))))))
(/.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 3) (pow.f64 (cos.f64 x) 3)) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))) (pow.f64 (cos.f64 (+.f64 eps x)) 2)))
(/.f64 (/.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3) (pow.f64 (cos.f64 x) 3)) (sqrt.f64 (+.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))))) (sqrt.f64 (+.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))))
(/.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 3) (pow.f64 (cos.f64 x) 3)) (+.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 2) (*.f64 (cos.f64 x) (+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))))))
(/.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 3) (pow.f64 (cos.f64 x) 3)) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))) (pow.f64 (cos.f64 (+.f64 eps x)) 2)))
(/.f64 (/.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3) (pow.f64 (cos.f64 x) 3)) (.f64 (cbrt.f64 (+.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))) (cbrt.f64 (+.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))))) (cbrt.f64 (+.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))))
(/.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 3) (pow.f64 (cos.f64 x) 3)) (+.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 2) (*.f64 (cos.f64 x) (+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))))))
(/.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 3) (pow.f64 (cos.f64 x) 3)) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))) (pow.f64 (cos.f64 (+.f64 eps x)) 2)))
(pow.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 1)
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(pow.f64 (sqrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 2)
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(pow.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 3)
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(pow.f64 (pow.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 3) 1/3)
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(sqrt.f64 (pow.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 2))
(sqrt.f64 (pow.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)) 2))
(fabs.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(log.f64 (exp.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(cbrt.f64 (pow.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 3))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(expm1.f64 (log1p.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(exp.f64 (log.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(log1p.f64 (expm1.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(fma.f64 1 (cos.f64 (+.f64 x eps)) (neg.f64 (cos.f64 x)))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(fma.f64 (sqrt.f64 (cos.f64 (+.f64 x eps))) (sqrt.f64 (cos.f64 (+.f64 x eps))) (neg.f64 (cos.f64 x)))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) 2) (cbrt.f64 (cos.f64 (+.f64 x eps))) (neg.f64 (cos.f64 x)))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))

eval75.0ms (0.5%)

Compiler: Compiled 7078 to 2227 computations (68.5% saved)

prune86.0ms (0.5%)

Pruning

36 alts after pruning (35 fresh and 1 done)

	Pruned	Kept	Total
New	251	35	286
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	251	36	287

Error

0.27%

Counts

287 → 36

Alt Table

Click to see full alt table

Status	Error	Program
	64.12%	(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) 2) (cbrt.f64 (cos.f64 (+.f64 x eps))) (neg.f64 (cos.f64 x)))
	49.13%	(fma.f64 (.f64 -1/2 (.f64 eps eps)) (cos.f64 x) (*.f64 eps (neg.f64 (sin.f64 x))))
	63.98%	(pow.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 3)
	63.77%	(/.f64 (/.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 6) (pow.f64 (cos.f64 x) 6)) (+.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 2) (*.f64 (cos.f64 x) (+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))))) (+.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 3) (pow.f64 (cos.f64 x) 3)))
	63.68%	(/.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3) (pow.f64 (cos.f64 x) 3)) (+.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (*.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))))
	63.88%	(/.f64 (-.f64 (cos.f64 (.f64 1/2 (-.f64 (+.f64 x (-.f64 eps x)) (+.f64 (+.f64 eps x) x)))) (cos.f64 (.f64 1/2 (+.f64 (+.f64 x (-.f64 eps x)) (+.f64 (+.f64 eps x) x))))) -1)
▶	63.83%	(/.f64 (.f64 (-.f64 (cos.f64 (-.f64 (.f64 (+.f64 x (-.f64 eps x)) 1/2) (.f64 (+.f64 eps (+.f64 x x)) 1/2))) (cos.f64 (+.f64 (.f64 (+.f64 x (-.f64 eps x)) 1/2) (*.f64 (+.f64 eps (+.f64 x x)) 1/2)))) -2) 2)
	63.65%	(/.f64 1 (/.f64 1 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
	39.13%	(-.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (fma.f64 (sin.f64 eps) (neg.f64 (sin.f64 x)) (fma.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x) (*.f64 (sin.f64 eps) (sin.f64 x))))) (cos.f64 x))
	39.11%	(-.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps)))) (cos.f64 x))
	49.46%	(-.f64 (fma.f64 1/6 (.f64 (sin.f64 x) (pow.f64 eps 3)) (.f64 (cos.f64 x) (.f64 -1/2 (.f64 eps eps)))) (*.f64 eps (sin.f64 x)))
	64.07%	(-.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) 3) (cos.f64 x))
	39.59%	(-.f64 (/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 eps) (cos.f64 x)) 3) (pow.f64 (.f64 (sin.f64 eps) (sin.f64 x)) 3)) (+.f64 (.f64 (pow.f64 (cos.f64 x) 2) (.f64 (cos.f64 eps) (cos.f64 eps))) (.f64 (.f64 (sin.f64 eps) (sin.f64 x)) (fma.f64 (cos.f64 x) (cos.f64 eps) (*.f64 (sin.f64 eps) (sin.f64 x)))))) (cos.f64 x))
	39.27%	(-.f64 (/.f64 (-.f64 (.f64 (pow.f64 (cos.f64 x) 2) (.f64 (cos.f64 eps) (cos.f64 eps))) (.f64 (sin.f64 eps) (.f64 (sin.f64 eps) (.f64 (sin.f64 x) (sin.f64 x))))) (fma.f64 (cos.f64 eps) (cos.f64 x) (.f64 (sin.f64 eps) (sin.f64 x)))) (cos.f64 x))
	39.24%	(-.f64 (/.f64 (-.f64 (.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (.f64 (cos.f64 x) (cos.f64 eps))) (.f64 (.f64 (sin.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (sin.f64 eps)))) (+.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (.f64 (sin.f64 x) (sin.f64 eps)))) (cos.f64 x))
	87.29%	(-.f64 (-.f64 (.f64 (+.f64 (.f64 -1/2 (.f64 eps eps)) 1) (cos.f64 x)) (.f64 eps (sin.f64 x))) (cos.f64 x))
	39.14%	(-.f64 (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))
	87.25%	(-.f64 (-.f64 (cos.f64 x) (*.f64 eps (sin.f64 x))) (cos.f64 x))
	58.99%	(-.f64 (+.f64 (cos.f64 eps) -1) (*.f64 x (sin.f64 eps)))
▶	39.13%	(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))
▶	63.79%	(-.f64 (log.f64 (exp.f64 (cos.f64 (+.f64 x eps)))) (cos.f64 x))
	73.44%	(-.f64 (fabs.f64 (cos.f64 (+.f64 eps x))) (cos.f64 x))
	63.86%	(-.f64 (expm1.f64 (log1p.f64 (cos.f64 (+.f64 x eps)))) (cos.f64 x))
✓	63.59%	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
	88.38%	(-.f64 (cos.f64 x) (cos.f64 x))
	63.04%	(-.f64 (cos.f64 eps) (cos.f64 x))
▶	63.38%	(-.f64 (cos.f64 eps) 1)
▶	8.5%	(+.f64 (+.f64 (neg.f64 (cos.f64 x)) (.f64 (cos.f64 x) (cos.f64 eps))) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	39.14%	(+.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (-.f64 (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))) (cos.f64 x)))
	49.82%	(+.f64 (.f64 1/24 (.f64 (pow.f64 eps 4) (cos.f64 x))) (+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) (sin.f64 x))) (+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (.f64 -1 (.f64 eps (sin.f64 x))))))
	55.85%	(.f64 (.f64 (sin.f64 (.f64 (+.f64 x (-.f64 eps x)) 1/2)) (sin.f64 (.f64 (+.f64 eps (+.f64 x x)) 1/2))) -2)
	56.67%	(*.f64 (neg.f64 eps) (sin.f64 x))
	63.87%	(.f64 -1 (-.f64 (cos.f64 (.f64 1/2 (+.f64 x (-.f64 (-.f64 eps x) (fma.f64 2 x eps))))) (cos.f64 (*.f64 1/2 (+.f64 x (+.f64 (-.f64 eps x) (fma.f64 2 x eps)))))))
	23.96%	(.f64 -2 (.f64 (sin.f64 (.f64 1/2 (+.f64 eps (-.f64 x x)))) (sin.f64 (.f64 1/2 (fma.f64 2 x eps)))))
	63.67%	(log.f64 (exp.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
	63.7%	(cbrt.f64 (pow.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 3))

Compiler

Compiled 1421 to 850 computations (40.2% saved)

localize20.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.16%	(+.f64 (+.f64 (neg.f64 (cos.f64 x)) (.f64 (cos.f64 x) (cos.f64 eps))) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
✓	0.18%	(*.f64 (cos.f64 x) (cos.f64 eps))
✓	0.34%	(*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x)))
✓	3.23%	(+.f64 (neg.f64 (cos.f64 x)) (*.f64 (cos.f64 x) (cos.f64 eps)))

Compiler

Compiled 54 to 12 computations (77.8% saved)

series8.0ms (0.1%)

Counts

4 → 92

Calls

24 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x)))
1.0ms	eps	@	inf	(*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x)))
1.0ms	eps	@	0	(+.f64 (neg.f64 (cos.f64 x)) (*.f64 (cos.f64 x) (cos.f64 eps)))
1.0ms	x	@	inf	(+.f64 (neg.f64 (cos.f64 x)) (*.f64 (cos.f64 x) (cos.f64 eps)))
0.0ms	eps	@	0	(*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x)))

rewrite172.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1532×	`associate-*r/`
1374×	`associate-*l/`
628×	`associate-+l+`
354×	`add-sqr-sqrt`
346×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	116
1	328	72
2	4890	72

Stop Event

1×	node limit

Counts

4 → 325

Calls

Call 1

Inputs
(+.f64 (neg.f64 (cos.f64 x)) (*.f64 (cos.f64 x) (cos.f64 eps)))
(*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x)))
(*.f64 (cos.f64 x) (cos.f64 eps))
(+.f64 (+.f64 (neg.f64 (cos.f64 x)) (.f64 (cos.f64 x) (cos.f64 eps))) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (cos.f64 x) (.f64 (cos.f64 x) (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (cos.f64 x) (.f64 (neg.f64 (cos.f64 eps)) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (cos.f64 x) (.f64 -1 (.f64 (cos.f64 x) (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (cos.f64 x) (.f64 (neg.f64 (sqrt.f64 (.f64 (cos.f64 x) (cos.f64 eps)))) (sqrt.f64 (.f64 (cos.f64 x) (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (cos.f64 x) (.f64 (neg.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 x) (cos.f64 eps))) 2)) (cbrt.f64 (.f64 (cos.f64 x) (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (cos.f64 x) (neg.f64 (.f64 (cos.f64 x) (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (cos.f64 x) (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (fma.f64 (neg.f64 (cos.f64 eps)) (cos.f64 x) (.f64 (cos.f64 x) (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (cos.f64 x) (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (fma.f64 (cos.f64 x) (cos.f64 eps) (.f64 (cos.f64 x) (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (cos.f64 x) (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (fma.f64 (neg.f64 (.f64 (cos.f64 x) (cos.f64 eps))) 1 (.f64 (cos.f64 x) (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (cos.f64 x) (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (fma.f64 (neg.f64 (sqrt.f64 (.f64 (cos.f64 x) (cos.f64 eps)))) (sqrt.f64 (.f64 (cos.f64 x) (cos.f64 eps))) (.f64 (cos.f64 x) (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (cos.f64 x) (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (fma.f64 (neg.f64 (cbrt.f64 (.f64 (cos.f64 x) (cos.f64 eps)))) (pow.f64 (cbrt.f64 (.f64 (cos.f64 x) (cos.f64 eps))) 2) (.f64 (cos.f64 x) (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (cos.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (-.f64 (cos.f64 x) (fma.f64 (neg.f64 (cos.f64 eps)) (cos.f64 x) (.f64 (cos.f64 x) (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (-.f64 (cos.f64 x) (fma.f64 (cos.f64 x) (cos.f64 eps) (.f64 (cos.f64 x) (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (-.f64 (cos.f64 x) (fma.f64 (neg.f64 (.f64 (cos.f64 x) (cos.f64 eps))) 1 (.f64 (cos.f64 x) (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (-.f64 (cos.f64 x) (fma.f64 (neg.f64 (sqrt.f64 (.f64 (cos.f64 x) (cos.f64 eps)))) (sqrt.f64 (.f64 (cos.f64 x) (cos.f64 eps))) (.f64 (cos.f64 x) (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (-.f64 (cos.f64 x) (fma.f64 (neg.f64 (cbrt.f64 (.f64 (cos.f64 x) (cos.f64 eps)))) (pow.f64 (cbrt.f64 (.f64 (cos.f64 x) (cos.f64 eps))) 2) (.f64 (cos.f64 x) (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))) (fma.f64 (neg.f64 (cos.f64 eps)) (cos.f64 x) (.f64 (cos.f64 x) (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))) (fma.f64 (cos.f64 x) (cos.f64 eps) (.f64 (cos.f64 x) (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))) (fma.f64 (neg.f64 (.f64 (cos.f64 x) (cos.f64 eps))) 1 (.f64 (cos.f64 x) (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))) (fma.f64 (neg.f64 (sqrt.f64 (.f64 (cos.f64 x) (cos.f64 eps)))) (sqrt.f64 (.f64 (cos.f64 x) (cos.f64 eps))) (.f64 (cos.f64 x) (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 (cos.f64 x) (cos.f64 eps)))) (pow.f64 (cbrt.f64 (.f64 (cos.f64 x) (cos.f64 eps))) 2) (.f64 (cos.f64 x) (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (cos.f64 x) (cos.f64 eps)))) (+.f64 (cos.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cos.f64 x))) (+.f64 (.f64 (cos.f64 x) (cos.f64 eps)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cos.f64 x))) (-.f64 1 (.f64 (cos.f64 x) (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cos.f64 x))) (-.f64 1 (.f64 (neg.f64 (cos.f64 eps)) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cos.f64 x))) (-.f64 1 (.f64 -1 (.f64 (cos.f64 x) (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cos.f64 x))) (-.f64 1 (.f64 (neg.f64 (sqrt.f64 (.f64 (cos.f64 x) (cos.f64 eps)))) (sqrt.f64 (.f64 (cos.f64 x) (cos.f64 eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cos.f64 x))) (-.f64 1 (.f64 (neg.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 x) (cos.f64 eps))) 2)) (cbrt.f64 (.f64 (cos.f64 x) (cos.f64 eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cos.f64 x))) (-.f64 1 (neg.f64 (.f64 (cos.f64 x) (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))))) (-.f64 1 (fma.f64 (neg.f64 (cos.f64 eps)) (cos.f64 x) (.f64 (cos.f64 x) (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))))) (-.f64 1 (fma.f64 (cos.f64 x) (cos.f64 eps) (.f64 (cos.f64 x) (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))))) (-.f64 1 (fma.f64 (neg.f64 (.f64 (cos.f64 x) (cos.f64 eps))) 1 (.f64 (cos.f64 x) (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))))) (-.f64 1 (fma.f64 (neg.f64 (sqrt.f64 (.f64 (cos.f64 x) (cos.f64 eps)))) (sqrt.f64 (.f64 (cos.f64 x) (cos.f64 eps))) (.f64 (cos.f64 x) (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))))) (-.f64 1 (fma.f64 (neg.f64 (cbrt.f64 (.f64 (cos.f64 x) (cos.f64 eps)))) (pow.f64 (cbrt.f64 (.f64 (cos.f64 x) (cos.f64 eps))) 2) (.f64 (cos.f64 x) (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps)))) (/.f64 (pow.f64 (.f64 (cos.f64 x) (cos.f64 eps)) 2) (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps)))) (-.f64 (/.f64 (pow.f64 (.f64 (cos.f64 x) (cos.f64 eps)) 2) (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps)))) (fma.f64 (neg.f64 (cos.f64 eps)) (cos.f64 x) (.f64 (cos.f64 x) (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps)))) (-.f64 (/.f64 (pow.f64 (.f64 (cos.f64 x) (cos.f64 eps)) 2) (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps)))) (fma.f64 (cos.f64 x) (cos.f64 eps) (.f64 (cos.f64 x) (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps)))) (-.f64 (/.f64 (pow.f64 (.f64 (cos.f64 x) (cos.f64 eps)) 2) (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps)))) (fma.f64 (neg.f64 (.f64 (cos.f64 x) (cos.f64 eps))) 1 (.f64 (cos.f64 x) (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps)))) (-.f64 (/.f64 (pow.f64 (.f64 (cos.f64 x) (cos.f64 eps)) 2) (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps)))) (fma.f64 (neg.f64 (sqrt.f64 (.f64 (cos.f64 x) (cos.f64 eps)))) (sqrt.f64 (.f64 (cos.f64 x) (cos.f64 eps))) (.f64 (cos.f64 x) (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps)))) (-.f64 (/.f64 (pow.f64 (.f64 (cos.f64 x) (cos.f64 eps)) 2) (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps)))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 (cos.f64 x) (cos.f64 eps)))) (pow.f64 (cbrt.f64 (.f64 (cos.f64 x) (cos.f64 eps))) 2) (.f64 (cos.f64 x) (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (cos.f64 x) (exp.f64 (log1p.f64 (.f64 (cos.f64 x) (cos.f64 eps))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (exp.f64 (log1p.f64 (cos.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) 0) (cos.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 0 (.f64 (cos.f64 x) (cos.f64 eps))) (cos.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cos.f64 x) (+.f64 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simplify256.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1324×	`associate-r`
1242×	`associate-l`
1010×	`+-commutative`
832×	`associate-/r*`
796×	`associate-+l+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	844	22979
1	2513	22545

Stop Event

1×	node limit

Counts

417 → 647

Calls

Call 1

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

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

localize6.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	3.12%	(-.f64 (cos.f64 eps) 1)

Compiler

Compiled 10 to 6 computations (40% saved)

series0.0ms (0%)

Counts

1 → 4

Calls

3 calls:

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

rewrite88.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1364×	`add-sqr-sqrt`
1348×	`*-un-lft-identity`
1256×	`add-cube-cbrt`
1244×	`add-cbrt-cube`
1232×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	142	11
2	1718	11

Stop Event

1×	node limit

Counts

1 → 31

Calls

Call 1

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

Outputs

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

simplify81.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1718×	`associate-/r*`
1544×	`associate-/l*`
1028×	`associate-r`
834×	`associate-l`
618×	`associate-+r+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	95	839
1	221	779
2	793	749
3	3991	749

Stop Event

1×	node limit

Counts

35 → 49

Calls

Call 1

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

Outputs
(*.f64 -1/2 (pow.f64 eps 2))
(.f64 -1/2 (.f64 eps eps))
(+.f64 (.f64 1/24 (pow.f64 eps 4)) (.f64 -1/2 (pow.f64 eps 2)))
(fma.f64 1/24 (pow.f64 eps 4) (.f64 -1/2 (.f64 eps eps)))
(fma.f64 -1/2 (.f64 eps eps) (.f64 1/24 (pow.f64 eps 4)))
(+.f64 (.f64 1/24 (pow.f64 eps 4)) (+.f64 (.f64 -1/2 (pow.f64 eps 2)) (*.f64 -1/720 (pow.f64 eps 6))))
(fma.f64 1/24 (pow.f64 eps 4) (fma.f64 -1/2 (.f64 eps eps) (.f64 -1/720 (pow.f64 eps 6))))
(fma.f64 -1/2 (.f64 eps eps) (fma.f64 1/24 (pow.f64 eps 4) (.f64 -1/720 (pow.f64 eps 6))))
(+.f64 (.f64 1/24 (pow.f64 eps 4)) (+.f64 (.f64 -1/2 (pow.f64 eps 2)) (+.f64 (.f64 -1/720 (pow.f64 eps 6)) (.f64 1/40320 (pow.f64 eps 8)))))
(fma.f64 1/24 (pow.f64 eps 4) (fma.f64 -1/2 (.f64 eps eps) (fma.f64 -1/720 (pow.f64 eps 6) (.f64 1/40320 (pow.f64 eps 8)))))
(fma.f64 1/24 (pow.f64 eps 4) (fma.f64 -1/720 (pow.f64 eps 6) (fma.f64 -1/2 (.f64 eps eps) (.f64 1/40320 (pow.f64 eps 8)))))
(+.f64 (cos.f64 eps) -1)
(+.f64 -1 (cos.f64 eps))
(+.f64 (cos.f64 eps) -1)
(*.f64 1 (+.f64 (cos.f64 eps) -1))
(+.f64 (cos.f64 eps) -1)
(*.f64 (+.f64 (cos.f64 eps) -1) 1)
(+.f64 (cos.f64 eps) -1)
(*.f64 (sqrt.f64 (+.f64 (cos.f64 eps) -1)) (sqrt.f64 (+.f64 (cos.f64 eps) -1)))
(+.f64 (cos.f64 eps) -1)
(*.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) (pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 2))
(+.f64 (cos.f64 eps) -1)
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 2) (cbrt.f64 (+.f64 (cos.f64 eps) -1)))
(+.f64 (cos.f64 eps) -1)
(*.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1) (/.f64 1 (+.f64 (cos.f64 eps) 1)))
(*.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 2)) (/.f64 1 (+.f64 (cos.f64 eps) 1)))
(/.f64 (fma.f64 (cos.f64 eps) (cos.f64 eps) -1) (+.f64 (cos.f64 eps) 1))
(/.f64 (*.f64 (sin.f64 eps) (sin.f64 eps)) (-.f64 -1 (cos.f64 eps)))
(/.f64 (sin.f64 eps) (/.f64 (-.f64 -1 (cos.f64 eps)) (sin.f64 eps)))
(*.f64 (+.f64 (pow.f64 (cos.f64 eps) 3) -1) (/.f64 1 (+.f64 (pow.f64 (cos.f64 eps) 2) (+.f64 (cos.f64 eps) 1))))
(*.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (/.f64 1 (+.f64 (pow.f64 (cos.f64 eps) 2) (+.f64 (cos.f64 eps) 1))))
(/.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (+.f64 (cos.f64 eps) (fma.f64 (cos.f64 eps) (cos.f64 eps) 1)))
(/.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (fma.f64 (+.f64 (cos.f64 eps) 1) (cos.f64 eps) 1))
(*.f64 (+.f64 (sqrt.f64 (cos.f64 eps)) 1) (-.f64 (sqrt.f64 (cos.f64 eps)) 1))
(+.f64 (cos.f64 eps) -1)
(/.f64 1 (/.f64 (+.f64 (cos.f64 eps) 1) (+.f64 (pow.f64 (cos.f64 eps) 2) -1)))
(*.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 2)) (/.f64 1 (+.f64 (cos.f64 eps) 1)))
(/.f64 (fma.f64 (cos.f64 eps) (cos.f64 eps) -1) (+.f64 (cos.f64 eps) 1))
(/.f64 (*.f64 (sin.f64 eps) (sin.f64 eps)) (-.f64 -1 (cos.f64 eps)))
(/.f64 (sin.f64 eps) (/.f64 (-.f64 -1 (cos.f64 eps)) (sin.f64 eps)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) (+.f64 (cos.f64 eps) 1)) (+.f64 (pow.f64 (cos.f64 eps) 3) -1)))
(*.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (/.f64 1 (+.f64 (pow.f64 (cos.f64 eps) 2) (+.f64 (cos.f64 eps) 1))))
(/.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (+.f64 (cos.f64 eps) (fma.f64 (cos.f64 eps) (cos.f64 eps) 1)))
(/.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (fma.f64 (+.f64 (cos.f64 eps) 1) (cos.f64 eps) 1))
(/.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1) (+.f64 (cos.f64 eps) 1))
(*.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 2)) (/.f64 1 (+.f64 (cos.f64 eps) 1)))
(/.f64 (fma.f64 (cos.f64 eps) (cos.f64 eps) -1) (+.f64 (cos.f64 eps) 1))
(/.f64 (*.f64 (sin.f64 eps) (sin.f64 eps)) (-.f64 -1 (cos.f64 eps)))
(/.f64 (sin.f64 eps) (/.f64 (-.f64 -1 (cos.f64 eps)) (sin.f64 eps)))
(/.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1) (-.f64 (cos.f64 eps) -1))
(*.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 2)) (/.f64 1 (+.f64 (cos.f64 eps) 1)))
(/.f64 (fma.f64 (cos.f64 eps) (cos.f64 eps) -1) (+.f64 (cos.f64 eps) 1))
(/.f64 (*.f64 (sin.f64 eps) (sin.f64 eps)) (-.f64 -1 (cos.f64 eps)))
(/.f64 (sin.f64 eps) (/.f64 (-.f64 -1 (cos.f64 eps)) (sin.f64 eps)))
(/.f64 (+.f64 (pow.f64 (cos.f64 eps) 3) -1) (+.f64 (pow.f64 (cos.f64 eps) 2) (+.f64 (cos.f64 eps) 1)))
(*.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (/.f64 1 (+.f64 (pow.f64 (cos.f64 eps) 2) (+.f64 (cos.f64 eps) 1))))
(/.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (+.f64 (cos.f64 eps) (fma.f64 (cos.f64 eps) (cos.f64 eps) 1)))
(/.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (fma.f64 (+.f64 (cos.f64 eps) 1) (cos.f64 eps) 1))
(/.f64 (+.f64 (pow.f64 (cos.f64 eps) 3) -1) (+.f64 (pow.f64 (cos.f64 eps) 2) (-.f64 1 (*.f64 (cos.f64 eps) -1))))
(*.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (/.f64 1 (+.f64 (pow.f64 (cos.f64 eps) 2) (+.f64 (cos.f64 eps) 1))))
(/.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (+.f64 (cos.f64 eps) (fma.f64 (cos.f64 eps) (cos.f64 eps) 1)))
(/.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (fma.f64 (+.f64 (cos.f64 eps) 1) (cos.f64 eps) 1))
(/.f64 (neg.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1)) (neg.f64 (+.f64 (cos.f64 eps) 1)))
(*.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 2)) (/.f64 1 (+.f64 (cos.f64 eps) 1)))
(/.f64 (fma.f64 (cos.f64 eps) (cos.f64 eps) -1) (+.f64 (cos.f64 eps) 1))
(/.f64 (*.f64 (sin.f64 eps) (sin.f64 eps)) (-.f64 -1 (cos.f64 eps)))
(/.f64 (sin.f64 eps) (/.f64 (-.f64 -1 (cos.f64 eps)) (sin.f64 eps)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (cos.f64 eps) 3) -1)) (neg.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) (+.f64 (cos.f64 eps) 1))))
(*.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (/.f64 1 (+.f64 (pow.f64 (cos.f64 eps) 2) (+.f64 (cos.f64 eps) 1))))
(/.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (+.f64 (cos.f64 eps) (fma.f64 (cos.f64 eps) (cos.f64 eps) 1)))
(/.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (fma.f64 (+.f64 (cos.f64 eps) 1) (cos.f64 eps) 1))
(pow.f64 (+.f64 (cos.f64 eps) -1) 1)
(+.f64 (cos.f64 eps) -1)
(pow.f64 (sqrt.f64 (+.f64 (cos.f64 eps) -1)) 2)
(+.f64 (cos.f64 eps) -1)
(pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 3)
(+.f64 (cos.f64 eps) -1)
(pow.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 3) 1/3)
(+.f64 (cos.f64 eps) -1)
(sqrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2))
(+.f64 (cos.f64 eps) -1)
(log.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)))
(+.f64 (cos.f64 eps) -1)
(cbrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 3))
(+.f64 (cos.f64 eps) -1)
(expm1.f64 (log.f64 (cos.f64 eps)))
(exp.f64 (log.f64 (+.f64 (cos.f64 eps) -1)))
(+.f64 (cos.f64 eps) -1)
(log1p.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1)))
(+.f64 (cos.f64 eps) -1)
(fma.f64 1 (cos.f64 eps) -1)
(+.f64 (cos.f64 eps) -1)
(fma.f64 (sqrt.f64 (cos.f64 eps)) (sqrt.f64 (cos.f64 eps)) -1)
(+.f64 (cos.f64 eps) -1)
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 eps)) 2) (cbrt.f64 (cos.f64 eps)) -1)
(+.f64 (cos.f64 eps) -1)

localize52.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.67%	(-.f64 (cos.f64 (-.f64 (.f64 (+.f64 x (-.f64 eps x)) 1/2) (.f64 (+.f64 eps (+.f64 x x)) 1/2))) (cos.f64 (+.f64 (.f64 (+.f64 x (-.f64 eps x)) 1/2) (.f64 (+.f64 eps (+.f64 x x)) 1/2))))
✓	4.07%	(-.f64 (.f64 (+.f64 x (-.f64 eps x)) 1/2) (.f64 (+.f64 eps (+.f64 x x)) 1/2))
✓	5.2%	(+.f64 x (-.f64 eps x))
✓	5.89%	(cos.f64 (+.f64 (.f64 (+.f64 x (-.f64 eps x)) 1/2) (.f64 (+.f64 eps (+.f64 x x)) 1/2)))

Compiler

Compiled 204 to 80 computations (60.8% saved)

series7.0ms (0%)

Counts

4 → 96

Calls

24 calls:

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

rewrite198.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1362×	`associate-+l+`
712×	`+-commutative`
696×	`associate-+r+`
480×	`add-sqr-sqrt`
468×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	178
1	432	132
2	6923	132

Stop Event

1×	node limit

Counts

4 → 315

Calls

Call 1

Inputs
(cos.f64 (+.f64 (.f64 (+.f64 x (-.f64 eps x)) 1/2) (.f64 (+.f64 eps (+.f64 x x)) 1/2)))
(+.f64 x (-.f64 eps x))
(-.f64 (.f64 (+.f64 x (-.f64 eps x)) 1/2) (.f64 (+.f64 eps (+.f64 x x)) 1/2))
(-.f64 (cos.f64 (-.f64 (.f64 (+.f64 x (-.f64 eps x)) 1/2) (.f64 (+.f64 eps (+.f64 x x)) 1/2))) (cos.f64 (+.f64 (.f64 (+.f64 x (-.f64 eps x)) 1/2) (.f64 (+.f64 eps (+.f64 x x)) 1/2))))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 (.f64 1/2 (+.f64 (+.f64 eps 0) (fma.f64 2 x eps)))) (fma.f64 (neg.f64 (sin.f64 (.f64 1/2 (fma.f64 2 x eps)))) (sin.f64 (.f64 (+.f64 eps 0) 1/2)) (.f64 (sin.f64 (.f64 (+.f64 eps 0) 1/2)) (sin.f64 (.f64 1/2 (fma.f64 2 x eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 (.f64 1/2 (+.f64 (+.f64 eps 0) (fma.f64 2 x eps)))) (+.f64 (fma.f64 (neg.f64 (sin.f64 (.f64 1/2 (fma.f64 2 x eps)))) (sin.f64 (.f64 (+.f64 eps 0) 1/2)) (.f64 (sin.f64 (.f64 (+.f64 eps 0) 1/2)) (sin.f64 (.f64 1/2 (fma.f64 2 x eps))))) (fma.f64 (neg.f64 (sin.f64 (.f64 1/2 (fma.f64 2 x eps)))) (sin.f64 (.f64 (+.f64 eps 0) 1/2)) (.f64 (sin.f64 (.f64 (+.f64 eps 0) 1/2)) (sin.f64 (.f64 1/2 (fma.f64 2 x eps)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (cos.f64 (.f64 (+.f64 eps 0) 1/2)) (cos.f64 (.f64 1/2 (fma.f64 2 x eps)))) (.f64 (neg.f64 (sin.f64 (.f64 (+.f64 eps 0) 1/2))) (sin.f64 (.f64 1/2 (fma.f64 2 x eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (cos.f64 (.f64 (+.f64 eps 0) 1/2)) (cos.f64 (.f64 1/2 (fma.f64 2 x eps)))) (neg.f64 (.f64 (sin.f64 (.f64 (+.f64 eps 0) 1/2)) (sin.f64 (.f64 1/2 (fma.f64 2 x eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (cos.f64 (.f64 (+.f64 eps 0) 1/2)) (cos.f64 (.f64 1/2 (fma.f64 2 x eps)))) (+.f64 (.f64 (neg.f64 (sin.f64 (.f64 (+.f64 eps 0) 1/2))) (sin.f64 (.f64 1/2 (fma.f64 2 x eps)))) (fma.f64 (neg.f64 (sin.f64 (.f64 1/2 (fma.f64 2 x eps)))) (sin.f64 (.f64 (+.f64 eps 0) 1/2)) (.f64 (sin.f64 (.f64 (+.f64 eps 0) 1/2)) (sin.f64 (.f64 1/2 (fma.f64 2 x eps)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (cos.f64 (.f64 (+.f64 eps 0) 1/2)) (cos.f64 (.f64 1/2 (fma.f64 2 x eps)))) (+.f64 (neg.f64 (.f64 (sin.f64 (.f64 (+.f64 eps 0) 1/2)) (sin.f64 (.f64 1/2 (fma.f64 2 x eps))))) (fma.f64 (neg.f64 (sin.f64 (.f64 1/2 (fma.f64 2 x eps)))) (sin.f64 (.f64 (+.f64 eps 0) 1/2)) (.f64 (sin.f64 (.f64 (+.f64 eps 0) 1/2)) (sin.f64 (.f64 1/2 (fma.f64 2 x eps)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (neg.f64 (sin.f64 (.f64 (+.f64 eps 0) 1/2))) (sin.f64 (.f64 1/2 (fma.f64 2 x eps)))) (.f64 (cos.f64 (.f64 (+.f64 eps 0) 1/2)) (cos.f64 (.f64 1/2 (fma.f64 2 x eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (.f64 (sin.f64 (.f64 (+.f64 eps 0) 1/2)) (sin.f64 (.f64 1/2 (fma.f64 2 x eps))))) (.f64 (cos.f64 (.f64 (+.f64 eps 0) 1/2)) (cos.f64 (.f64 1/2 (fma.f64 2 x eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (neg.f64 (sin.f64 (.f64 1/2 (fma.f64 2 x eps)))) (sin.f64 (.f64 (+.f64 eps 0) 1/2)) (.f64 (sin.f64 (.f64 (+.f64 eps 0) 1/2)) (sin.f64 (.f64 1/2 (fma.f64 2 x eps))))) (cos.f64 (.f64 1/2 (+.f64 (+.f64 eps 0) (fma.f64 2 x eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (cos.f64 (.f64 (+.f64 eps 0) 1/2)) (cos.f64 (.f64 1/2 (fma.f64 2 x eps)))) (.f64 (sin.f64 (.f64 (+.f64 eps 0) 1/2)) (sin.f64 (.f64 1/2 (fma.f64 2 x eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cos.f64 (.f64 1/2 (+.f64 (+.f64 eps 0) (fma.f64 2 x eps)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cos.f64 (.f64 1/2 (+.f64 (+.f64 eps 0) (fma.f64 2 x eps)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (cos.f64 (.f64 1/2 (+.f64 (+.f64 eps 0) (fma.f64 2 x eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (cos.f64 (.f64 1/2 (+.f64 (+.f64 eps 0) (fma.f64 2 x eps))))) (sqrt.f64 (cos.f64 (.f64 1/2 (+.f64 (+.f64 eps 0) (fma.f64 2 x eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (cos.f64 (.f64 1/2 (+.f64 (+.f64 eps 0) (fma.f64 2 x eps))))) (pow.f64 (cbrt.f64 (cos.f64 (.f64 1/2 (+.f64 (+.f64 eps 0) (fma.f64 2 x eps))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (cos.f64 (.f64 1/2 (+.f64 (+.f64 eps 0) (fma.f64 2 x eps))))) 2) (cbrt.f64 (cos.f64 (.f64 1/2 (+.f64 (+.f64 eps 0) (fma.f64 2 x eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 (.f64 (cos.f64 (.f64 (+.f64 eps 0) 1/2)) (cos.f64 (.f64 1/2 (fma.f64 2 x eps)))) (.f64 (cos.f64 (.f64 (+.f64 eps 0) 1/2)) (cos.f64 (.f64 1/2 (fma.f64 2 x eps))))) (.f64 (.f64 (sin.f64 (.f64 (+.f64 eps 0) 1/2)) (sin.f64 (.f64 1/2 (fma.f64 2 x eps)))) (.f64 (sin.f64 (.f64 (+.f64 eps 0) 1/2)) (sin.f64 (.f64 1/2 (fma.f64 2 x eps)))))) (cos.f64 (.f64 1/2 (-.f64 (+.f64 eps 0) (fma.f64 2 x eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (.f64 (cos.f64 (.f64 (+.f64 eps 0) 1/2)) (cos.f64 (.f64 1/2 (fma.f64 2 x eps)))) 3) (pow.f64 (.f64 (sin.f64 (.f64 (+.f64 eps 0) 1/2)) (sin.f64 (.f64 1/2 (fma.f64 2 x eps)))) 3)) (+.f64 (.f64 (.f64 (cos.f64 (.f64 (+.f64 eps 0) 1/2)) (cos.f64 (.f64 1/2 (fma.f64 2 x eps)))) (.f64 (cos.f64 (.f64 (+.f64 eps 0) 1/2)) (cos.f64 (.f64 1/2 (fma.f64 2 x eps))))) (+.f64 (.f64 (.f64 (sin.f64 (.f64 (+.f64 eps 0) 1/2)) (sin.f64 (.f64 1/2 (fma.f64 2 x eps)))) (.f64 (sin.f64 (.f64 (+.f64 eps 0) 1/2)) (sin.f64 (.f64 1/2 (fma.f64 2 x eps))))) (.f64 (.f64 (cos.f64 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(.f64 1/2 (+.f64 (+.f64 eps 0) (fma.f64 2 x eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (cos.f64 (.f64 1/2 (-.f64 (+.f64 eps 0) (fma.f64 2 x eps))))) 2) (cbrt.f64 (cos.f64 (.f64 1/2 (-.f64 (+.f64 eps 0) (fma.f64 2 x eps))))) (neg.f64 (cos.f64 (.f64 1/2 (+.f64 (+.f64 eps 0) (fma.f64 2 x eps))))))))))

simplify248.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

924×	`+-commutative`
898×	`associate-+l+`
876×	`associate-+r+`
804×	`associate-r`
724×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	782	24823
1	2281	21067

Stop Event

1×	node limit

Counts

411 → 477

Calls

Call 1

Inputs
(cos.f64 eps)
(+.f64 (cos.f64 eps) (.f64 -1 (.f64 x (sin.f64 eps))))
(+.f64 (cos.f64 eps) (+.f64 (.f64 -1/2 (.f64 (cos.f64 eps) (pow.f64 x 2))) (.f64 -1 (.f64 x (sin.f64 eps)))))
(+.f64 (cos.f64 eps) (+.f64 (.f64 1/6 (.f64 (pow.f64 x 3) (sin.f64 eps))) (+.f64 (.f64 -1/2 (.f64 (cos.f64 eps) (pow.f64 x 2))) (.f64 -1 (.f64 x (sin.f64 eps))))))
(cos.f64 (+.f64 (.f64 1/2 (+.f64 eps (.f64 2 x))) (*.f64 1/2 eps)))
(cos.f64 (+.f64 (.f64 1/2 (+.f64 eps (.f64 2 x))) (*.f64 1/2 eps)))
(cos.f64 (+.f64 (.f64 1/2 (+.f64 eps (.f64 2 x))) (*.f64 1/2 eps)))
(cos.f64 (+.f64 (.f64 1/2 (+.f64 eps (.f64 2 x))) (*.f64 1/2 eps)))
(cos.f64 (+.f64 (.f64 1/2 (-.f64 eps (.f64 -2 x))) (*.f64 1/2 eps)))
(cos.f64 (+.f64 (.f64 1/2 (-.f64 eps (.f64 -2 x))) (*.f64 1/2 eps)))
(cos.f64 (+.f64 (.f64 1/2 (-.f64 eps (.f64 -2 x))) (*.f64 1/2 eps)))
(cos.f64 (+.f64 (.f64 1/2 (-.f64 eps (.f64 -2 x))) (*.f64 1/2 eps)))
(cos.f64 x)
(+.f64 (cos.f64 x) (.f64 -1 (.f64 eps (sin.f64 x))))
(+.f64 (cos.f64 x) (+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (.f64 -1 (.f64 eps (sin.f64 x)))))
(+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) (sin.f64 x))) (+.f64 (cos.f64 x) (+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (.f64 -1 (.f64 eps (sin.f64 x))))))
(cos.f64 (+.f64 (.f64 1/2 (+.f64 eps (.f64 2 x))) (*.f64 1/2 eps)))
(cos.f64 (+.f64 (.f64 1/2 (+.f64 eps (.f64 2 x))) (*.f64 1/2 eps)))
(cos.f64 (+.f64 (.f64 1/2 (+.f64 eps (.f64 2 x))) (*.f64 1/2 eps)))
(cos.f64 (+.f64 (.f64 1/2 (+.f64 eps (.f64 2 x))) (*.f64 1/2 eps)))
(cos.f64 (-.f64 (.f64 1/2 (-.f64 (.f64 2 x) (.f64 -1 eps))) (.f64 -1/2 eps)))
(cos.f64 (-.f64 (.f64 1/2 (-.f64 (.f64 2 x) (.f64 -1 eps))) (.f64 -1/2 eps)))
(cos.f64 (-.f64 (.f64 1/2 (-.f64 (.f64 2 x) (.f64 -1 eps))) (.f64 -1/2 eps)))
(cos.f64 (-.f64 (.f64 1/2 (-.f64 (.f64 2 x) (.f64 -1 eps))) (.f64 -1/2 eps)))
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
(*.f64 -1 x)
(*.f64 -1 x)
(*.f64 -1 x)
(*.f64 -1 x)
(*.f64 -1 x)
(*.f64 -1 x)
(*.f64 -1 x)
(*.f64 -1 x)
(*.f64 -1 x)
(*.f64 -1 x)
(*.f64 -1 x)
(*.f64 -1 x)
(*.f64 -1 x)
(*.f64 -1 x)
(*.f64 -1 x)
(*.f64 -1 x)
(*.f64 -1 x)
(*.f64 -1 x)
(*.f64 -1 x)
(*.f64 -1 x)
(*.f64 -1 x)
(*.f64 -1 x)
(*.f64 -1 x)
(*.f64 -1 x)
(-.f64 1 (cos.f64 eps))
(-.f64 (+.f64 1 (*.f64 (sin.f64 eps) x)) (cos.f64 eps))
(-.f64 (+.f64 1 (+.f64 (.f64 (sin.f64 eps) x) (.f64 -1 (.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))))))) (cos.f64 eps))
(-.f64 (+.f64 (.f64 -1/6 (.f64 (pow.f64 x 3) (sin.f64 eps))) (+.f64 1 (+.f64 (.f64 (sin.f64 eps) x) (.f64 -1 (.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 -1/2 (cos.f64 eps)))))))) (cos.f64 eps))
(-.f64 (cos.f64 (-.f64 (.f64 1/2 eps) (.f64 1/2 (+.f64 eps (.f64 2 x))))) (cos.f64 (+.f64 (.f64 1/2 (+.f64 eps (.f64 2 x))) (.f64 1/2 eps))))
(-.f64 (cos.f64 (-.f64 (.f64 1/2 eps) (.f64 1/2 (+.f64 eps (.f64 2 x))))) (cos.f64 (+.f64 (.f64 1/2 (+.f64 eps (.f64 2 x))) (.f64 1/2 eps))))
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(+.f64 (-.f64 (cos.f64 (.f64 1/2 (-.f64 (+.f64 eps 0) (fma.f64 2 x eps)))) (.f64 (cos.f64 (.f64 (+.f64 eps 0) 1/2)) (cos.f64 (.f64 1/2 (fma.f64 2 x eps))))) (+.f64 (.f64 (sin.f64 (.f64 (+.f64 eps 0) 1/2)) (sin.f64 (.f64 1/2 (fma.f64 2 x eps)))) (fma.f64 (neg.f64 (cos.f64 (.f64 1/2 (+.f64 (+.f64 eps 0) (fma.f64 2 x eps))))) 1 (cos.f64 (*.f64 1/2 (+.f64 (+.f64 eps 0) (fma.f64 2 x eps)))))))
(+.f64 (-.f64 (cos.f64 (.f64 1/2 (-.f64 (+.f64 eps 0) (fma.f64 2 x eps)))) (.f64 (cos.f64 (.f64 (+.f64 eps 0) 1/2)) (cos.f64 (.f64 1/2 (fma.f64 2 x eps))))) (+.f64 (.f64 (sin.f64 (.f64 (+.f64 eps 0) 1/2)) (sin.f64 (.f64 1/2 (fma.f64 2 x eps)))) (fma.f64 (neg.f64 (sqrt.f64 (cos.f64 (.f64 1/2 (+.f64 (+.f64 eps 0) (fma.f64 2 x eps)))))) (sqrt.f64 (cos.f64 (.f64 1/2 (+.f64 (+.f64 eps 0) (fma.f64 2 x eps))))) (cos.f64 (.f64 1/2 (+.f64 (+.f64 eps 0) (fma.f64 2 x eps)))))))
(+.f64 (-.f64 (cos.f64 (.f64 1/2 (-.f64 (+.f64 eps 0) (fma.f64 2 x eps)))) (.f64 (cos.f64 (.f64 (+.f64 eps 0) 1/2)) (cos.f64 (.f64 1/2 (fma.f64 2 x eps))))) (+.f64 (.f64 (sin.f64 (.f64 (+.f64 eps 0) 1/2)) (sin.f64 (.f64 1/2 (fma.f64 2 x eps)))) (fma.f64 (neg.f64 (cbrt.f64 (cos.f64 (.f64 1/2 (+.f64 (+.f64 eps 0) (fma.f64 2 x eps)))))) (pow.f64 (cbrt.f64 (cos.f64 (.f64 1/2 (+.f64 (+.f64 eps 0) (fma.f64 2 x eps))))) 2) (cos.f64 (.f64 1/2 (+.f64 (+.f64 eps 0) (fma.f64 2 x eps)))))))
(+.f64 (.f64 (.f64 (cos.f64 (.f64 (+.f64 eps 0) 1/2)) (cos.f64 (.f64 1/2 (fma.f64 2 x eps)))) 1) (+.f64 (.f64 (.f64 (sin.f64 (.f64 (+.f64 eps 0) 1/2)) (sin.f64 (.f64 1/2 (fma.f64 2 x eps)))) 1) (neg.f64 (cos.f64 (*.f64 1/2 (+.f64 (+.f64 eps 0) (fma.f64 2 x eps)))))))
(+.f64 (.f64 (.f64 (cos.f64 (.f64 (+.f64 eps 0) 1/2)) (cos.f64 (.f64 1/2 (fma.f64 2 x eps)))) 1) (+.f64 (.f64 (.f64 (sin.f64 (.f64 (+.f64 eps 0) 1/2)) (sin.f64 (.f64 1/2 (fma.f64 2 x eps)))) 1) (.f64 (neg.f64 (cos.f64 (.f64 1/2 (+.f64 (+.f64 eps 0) (fma.f64 2 x eps))))) 1)))
(+.f64 (.f64 (neg.f64 (cos.f64 (.f64 1/2 (+.f64 (+.f64 eps 0) (fma.f64 2 x eps))))) 1) (cos.f64 (*.f64 1/2 (-.f64 (+.f64 eps 0) (fma.f64 2 x eps)))))
(+.f64 (fma.f64 (neg.f64 (cos.f64 (.f64 1/2 (+.f64 (+.f64 eps 0) (fma.f64 2 x eps))))) 1 (cos.f64 (.f64 1/2 (+.f64 (+.f64 eps 0) (fma.f64 2 x eps))))) (-.f64 (cos.f64 (.f64 1/2 (-.f64 (+.f64 eps 0) (fma.f64 2 x eps)))) (cos.f64 (.f64 1/2 (+.f64 (+.f64 eps 0) (fma.f64 2 x eps))))))
(+.f64 (fma.f64 (neg.f64 (sqrt.f64 (cos.f64 (.f64 1/2 (+.f64 (+.f64 eps 0) (fma.f64 2 x eps)))))) (sqrt.f64 (cos.f64 (.f64 1/2 (+.f64 (+.f64 eps 0) (fma.f64 2 x eps))))) (cos.f64 (.f64 1/2 (+.f64 (+.f64 eps 0) (fma.f64 2 x eps))))) (-.f64 (cos.f64 (.f64 1/2 (-.f64 (+.f64 eps 0) (fma.f64 2 x eps)))) (cos.f64 (*.f64 1/2 (+.f64 (+.f64 eps 0) (fma.f64 2 x eps))))))
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (cos.f64 (.f64 1/2 (+.f64 (+.f64 eps 0) (fma.f64 2 x eps)))))) (pow.f64 (cbrt.f64 (cos.f64 (.f64 1/2 (+.f64 (+.f64 eps 0) (fma.f64 2 x eps))))) 2) (cos.f64 (.f64 1/2 (+.f64 (+.f64 eps 0) (fma.f64 2 x eps))))) (-.f64 (cos.f64 (.f64 1/2 (-.f64 (+.f64 eps 0) (fma.f64 2 x eps)))) (cos.f64 (*.f64 1/2 (+.f64 (+.f64 eps 0) (fma.f64 2 x eps))))))
(+.f64 (+.f64 (neg.f64 (cos.f64 (.f64 1/2 (+.f64 (+.f64 eps 0) (fma.f64 2 x eps))))) (.f64 (cos.f64 (.f64 (+.f64 eps 0) 1/2)) (cos.f64 (.f64 1/2 (fma.f64 2 x eps))))) (.f64 (sin.f64 (.f64 (+.f64 eps 0) 1/2)) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))))
(+.f64 (+.f64 (neg.f64 (cos.f64 (.f64 1/2 (+.f64 (+.f64 eps 0) (fma.f64 2 x eps))))) (.f64 (.f64 (cos.f64 (.f64 (+.f64 eps 0) 1/2)) (cos.f64 (.f64 1/2 (fma.f64 2 x eps)))) 1)) (.f64 (.f64 (sin.f64 (.f64 (+.f64 eps 0) 1/2)) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))) 1))
(.f64 (-.f64 (cos.f64 (.f64 1/2 (-.f64 (+.f64 eps 0) (fma.f64 2 x eps)))) (cos.f64 (*.f64 1/2 (+.f64 (+.f64 eps 0) (fma.f64 2 x eps))))) 1)
(.f64 1 (-.f64 (cos.f64 (.f64 1/2 (-.f64 (+.f64 eps 0) (fma.f64 2 x eps)))) (cos.f64 (*.f64 1/2 (+.f64 (+.f64 eps 0) (fma.f64 2 x eps))))))
(.f64 (sqrt.f64 (-.f64 (cos.f64 (.f64 1/2 (-.f64 (+.f64 eps 0) (fma.f64 2 x eps)))) (cos.f64 (.f64 1/2 (+.f64 (+.f64 eps 0) (fma.f64 2 x eps)))))) (sqrt.f64 (-.f64 (cos.f64 (.f64 1/2 (-.f64 (+.f64 eps 0) (fma.f64 2 x eps)))) (cos.f64 (*.f64 1/2 (+.f64 (+.f64 eps 0) (fma.f64 2 x eps)))))))
(.f64 (cbrt.f64 (-.f64 (cos.f64 (.f64 1/2 (-.f64 (+.f64 eps 0) (fma.f64 2 x eps)))) (cos.f64 (.f64 1/2 (+.f64 (+.f64 eps 0) (fma.f64 2 x eps)))))) (pow.f64 (cbrt.f64 (-.f64 (cos.f64 (.f64 1/2 (-.f64 (+.f64 eps 0) (fma.f64 2 x eps)))) (cos.f64 (*.f64 1/2 (+.f64 (+.f64 eps 0) (fma.f64 2 x eps)))))) 2))
(.f64 (pow.f64 (cbrt.f64 (-.f64 (cos.f64 (.f64 1/2 (-.f64 (+.f64 eps 0) (fma.f64 2 x eps)))) (cos.f64 (.f64 1/2 (+.f64 (+.f64 eps 0) (fma.f64 2 x eps)))))) 2) (cbrt.f64 (-.f64 (cos.f64 (.f64 1/2 (-.f64 (+.f64 eps 0) (fma.f64 2 x eps)))) (cos.f64 (*.f64 1/2 (+.f64 (+.f64 eps 0) (fma.f64 2 x eps)))))))
(.f64 (-.f64 (pow.f64 (cos.f64 (.f64 1/2 (-.f64 (+.f64 eps 0) (fma.f64 2 x eps)))) 2) (pow.f64 (cos.f64 (.f64 1/2 (+.f64 (+.f64 eps 0) (fma.f64 2 x eps)))) 2)) (/.f64 1 (+.f64 (cos.f64 (.f64 1/2 (+.f64 (+.f64 eps 0) (fma.f64 2 x eps)))) (cos.f64 (*.f64 1/2 (-.f64 (+.f64 eps 0) (fma.f64 2 x eps)))))))
(.f64 (-.f64 (pow.f64 (cos.f64 (.f64 1/2 (-.f64 (+.f64 eps 0) (fma.f64 2 x eps)))) 3) (pow.f64 (cos.f64 (.f64 1/2 (+.f64 (+.f64 eps 0) (fma.f64 2 x eps)))) 3)) (/.f64 1 (+.f64 (pow.f64 (cos.f64 (.f64 1/2 (-.f64 (+.f64 eps 0) (fma.f64 2 x eps)))) 2) (.f64 (cos.f64 (.f64 1/2 (+.f64 (+.f64 eps 0) (fma.f64 2 x eps)))) (+.f64 (cos.f64 (.f64 1/2 (+.f64 (+.f64 eps 0) (fma.f64 2 x eps)))) (cos.f64 (.f64 1/2 (-.f64 (+.f64 eps 0) (fma.f64 2 x eps)))))))))
(.f64 -2 (.f64 (sin.f64 (.f64 (.f64 1/2 (-.f64 (-.f64 (+.f64 eps 0) (fma.f64 2 x eps)) (+.f64 (+.f64 eps 0) (fma.f64 2 x eps)))) 1/2)) (sin.f64 (.f64 (.f64 1/2 (+.f64 (+.f64 (+.f64 eps 0) (fma.f64 2 x eps)) (-.f64 (+.f64 eps 0) (fma.f64 2 x eps)))) 1/2))))
(.f64 (.f64 (sin.f64 (.f64 (.f64 1/2 (-.f64 (-.f64 (+.f64 eps 0) (fma.f64 2 x eps)) (+.f64 (+.f64 eps 0) (fma.f64 2 x eps)))) 1/2)) (sin.f64 (.f64 (.f64 1/2 (+.f64 (+.f64 (+.f64 eps 0) (fma.f64 2 x eps)) (-.f64 (+.f64 eps 0) (fma.f64 2 x eps)))) 1/2))) -2)
(.f64 (.f64 -2 (sin.f64 (.f64 (.f64 1/2 (-.f64 (-.f64 (+.f64 eps 0) (fma.f64 2 x eps)) (+.f64 (+.f64 eps 0) (fma.f64 2 x eps)))) 1/2))) (sin.f64 (.f64 (.f64 1/2 (+.f64 (+.f64 (+.f64 eps 0) (fma.f64 2 x eps)) (-.f64 (+.f64 eps 0) (fma.f64 2 x eps)))) 1/2)))
(.f64 (+.f64 (sqrt.f64 (cos.f64 (.f64 1/2 (+.f64 (+.f64 eps 0) (fma.f64 2 x eps))))) (sqrt.f64 (cos.f64 (.f64 1/2 (-.f64 (+.f64 eps 0) (fma.f64 2 x eps)))))) (-.f64 (sqrt.f64 (cos.f64 (.f64 1/2 (-.f64 (+.f64 eps 0) (fma.f64 2 x eps))))) (sqrt.f64 (cos.f64 (*.f64 1/2 (+.f64 (+.f64 eps 0) (fma.f64 2 x eps)))))))
(/.f64 1 (/.f64 (+.f64 (cos.f64 (.f64 1/2 (+.f64 (+.f64 eps 0) (fma.f64 2 x eps)))) (cos.f64 (.f64 1/2 (-.f64 (+.f64 eps 0) (fma.f64 2 x eps))))) (-.f64 (pow.f64 (cos.f64 (.f64 1/2 (-.f64 (+.f64 eps 0) (fma.f64 2 x eps)))) 2) (pow.f64 (cos.f64 (.f64 1/2 (+.f64 (+.f64 eps 0) (fma.f64 2 x eps)))) 2))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (cos.f64 (.f64 1/2 (-.f64 (+.f64 eps 0) (fma.f64 2 x eps)))) 2) (.f64 (cos.f64 (.f64 1/2 (+.f64 (+.f64 eps 0) (fma.f64 2 x eps)))) (+.f64 (cos.f64 (.f64 1/2 (+.f64 (+.f64 eps 0) (fma.f64 2 x eps)))) (cos.f64 (.f64 1/2 (-.f64 (+.f64 eps 0) (fma.f64 2 x eps))))))) (-.f64 (pow.f64 (cos.f64 (.f64 1/2 (-.f64 (+.f64 eps 0) (fma.f64 2 x eps)))) 3) (pow.f64 (cos.f64 (*.f64 1/2 (+.f64 (+.f64 eps 0) (fma.f64 2 x eps)))) 3))))
(/.f64 (-.f64 (pow.f64 (cos.f64 (.f64 1/2 (-.f64 (+.f64 eps 0) (fma.f64 2 x eps)))) 2) (pow.f64 (cos.f64 (.f64 1/2 (+.f64 (+.f64 eps 0) (fma.f64 2 x eps)))) 2)) (+.f64 (cos.f64 (.f64 1/2 (+.f64 (+.f64 eps 0) (fma.f64 2 x eps)))) (cos.f64 (.f64 1/2 (-.f64 (+.f64 eps 0) (fma.f64 2 x eps))))))
(/.f64 (-.f64 (pow.f64 (cos.f64 (.f64 1/2 (-.f64 (+.f64 eps 0) (fma.f64 2 x eps)))) 3) (pow.f64 (cos.f64 (.f64 1/2 (+.f64 (+.f64 eps 0) (fma.f64 2 x eps)))) 3)) (+.f64 (pow.f64 (cos.f64 (.f64 1/2 (-.f64 (+.f64 eps 0) (fma.f64 2 x eps)))) 2) (.f64 (cos.f64 (.f64 1/2 (+.f64 (+.f64 eps 0) (fma.f64 2 x eps)))) (+.f64 (cos.f64 (.f64 1/2 (+.f64 (+.f64 eps 0) (fma.f64 2 x eps)))) (cos.f64 (*.f64 1/2 (-.f64 (+.f64 eps 0) (fma.f64 2 x eps))))))))
(/.f64 (-.f64 (pow.f64 (cos.f64 (.f64 1/2 (-.f64 (+.f64 eps 0) (fma.f64 2 x eps)))) 2) (.f64 (neg.f64 (cos.f64 (.f64 1/2 (+.f64 (+.f64 eps 0) (fma.f64 2 x eps))))) (neg.f64 (cos.f64 (.f64 1/2 (+.f64 (+.f64 eps 0) (fma.f64 2 x eps))))))) (-.f64 (cos.f64 (.f64 1/2 (-.f64 (+.f64 eps 0) (fma.f64 2 x eps)))) (neg.f64 (cos.f64 (.f64 1/2 (+.f64 (+.f64 eps 0) (fma.f64 2 x eps)))))))
(/.f64 (+.f64 (pow.f64 (cos.f64 (.f64 1/2 (-.f64 (+.f64 eps 0) (fma.f64 2 x eps)))) 3) (pow.f64 (neg.f64 (cos.f64 (.f64 1/2 (+.f64 (+.f64 eps 0) (fma.f64 2 x eps))))) 3)) (+.f64 (pow.f64 (cos.f64 (.f64 1/2 (-.f64 (+.f64 eps 0) (fma.f64 2 x eps)))) 2) (-.f64 (.f64 (neg.f64 (cos.f64 (.f64 1/2 (+.f64 (+.f64 eps 0) (fma.f64 2 x eps))))) (neg.f64 (cos.f64 (.f64 1/2 (+.f64 (+.f64 eps 0) (fma.f64 2 x eps)))))) (.f64 (cos.f64 (.f64 1/2 (-.f64 (+.f64 eps 0) (fma.f64 2 x eps)))) (neg.f64 (cos.f64 (*.f64 1/2 (+.f64 (+.f64 eps 0) (fma.f64 2 x eps)))))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (cos.f64 (.f64 1/2 (-.f64 (+.f64 eps 0) (fma.f64 2 x eps)))) 2) (pow.f64 (cos.f64 (.f64 1/2 (+.f64 (+.f64 eps 0) (fma.f64 2 x eps)))) 2))) (neg.f64 (+.f64 (cos.f64 (.f64 1/2 (+.f64 (+.f64 eps 0) (fma.f64 2 x eps)))) (cos.f64 (.f64 1/2 (-.f64 (+.f64 eps 0) (fma.f64 2 x eps)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (cos.f64 (.f64 1/2 (-.f64 (+.f64 eps 0) (fma.f64 2 x eps)))) 3) (pow.f64 (cos.f64 (.f64 1/2 (+.f64 (+.f64 eps 0) (fma.f64 2 x eps)))) 3))) (neg.f64 (+.f64 (pow.f64 (cos.f64 (.f64 1/2 (-.f64 (+.f64 eps 0) (fma.f64 2 x eps)))) 2) (.f64 (cos.f64 (.f64 1/2 (+.f64 (+.f64 eps 0) (fma.f64 2 x eps)))) (+.f64 (cos.f64 (.f64 1/2 (+.f64 (+.f64 eps 0) (fma.f64 2 x eps)))) (cos.f64 (*.f64 1/2 (-.f64 (+.f64 eps 0) (fma.f64 2 x eps)))))))))
(pow.f64 (-.f64 (cos.f64 (.f64 1/2 (-.f64 (+.f64 eps 0) (fma.f64 2 x eps)))) (cos.f64 (.f64 1/2 (+.f64 (+.f64 eps 0) (fma.f64 2 x eps))))) 1)
(pow.f64 (sqrt.f64 (-.f64 (cos.f64 (.f64 1/2 (-.f64 (+.f64 eps 0) (fma.f64 2 x eps)))) (cos.f64 (.f64 1/2 (+.f64 (+.f64 eps 0) (fma.f64 2 x eps)))))) 2)
(pow.f64 (cbrt.f64 (-.f64 (cos.f64 (.f64 1/2 (-.f64 (+.f64 eps 0) (fma.f64 2 x eps)))) (cos.f64 (.f64 1/2 (+.f64 (+.f64 eps 0) (fma.f64 2 x eps)))))) 3)
(pow.f64 (pow.f64 (-.f64 (cos.f64 (.f64 1/2 (-.f64 (+.f64 eps 0) (fma.f64 2 x eps)))) (cos.f64 (.f64 1/2 (+.f64 (+.f64 eps 0) (fma.f64 2 x eps))))) 3) 1/3)
(sqrt.f64 (pow.f64 (-.f64 (cos.f64 (.f64 1/2 (-.f64 (+.f64 eps 0) (fma.f64 2 x eps)))) (cos.f64 (.f64 1/2 (+.f64 (+.f64 eps 0) (fma.f64 2 x eps))))) 2))
(log.f64 (exp.f64 (-.f64 (cos.f64 (.f64 1/2 (-.f64 (+.f64 eps 0) (fma.f64 2 x eps)))) (cos.f64 (.f64 1/2 (+.f64 (+.f64 eps 0) (fma.f64 2 x eps)))))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (cos.f64 (.f64 1/2 (-.f64 (+.f64 eps 0) (fma.f64 2 x eps)))) (cos.f64 (.f64 1/2 (+.f64 (+.f64 eps 0) (fma.f64 2 x eps))))))))
(cbrt.f64 (pow.f64 (-.f64 (cos.f64 (.f64 1/2 (-.f64 (+.f64 eps 0) (fma.f64 2 x eps)))) (cos.f64 (.f64 1/2 (+.f64 (+.f64 eps 0) (fma.f64 2 x eps))))) 3))
(expm1.f64 (log1p.f64 (-.f64 (cos.f64 (.f64 1/2 (-.f64 (+.f64 eps 0) (fma.f64 2 x eps)))) (cos.f64 (.f64 1/2 (+.f64 (+.f64 eps 0) (fma.f64 2 x eps)))))))
(exp.f64 (log.f64 (-.f64 (cos.f64 (.f64 1/2 (-.f64 (+.f64 eps 0) (fma.f64 2 x eps)))) (cos.f64 (.f64 1/2 (+.f64 (+.f64 eps 0) (fma.f64 2 x eps)))))))
(exp.f64 (.f64 (log.f64 (-.f64 (cos.f64 (.f64 1/2 (-.f64 (+.f64 eps 0) (fma.f64 2 x eps)))) (cos.f64 (*.f64 1/2 (+.f64 (+.f64 eps 0) (fma.f64 2 x eps)))))) 1))
(log1p.f64 (expm1.f64 (-.f64 (cos.f64 (.f64 1/2 (-.f64 (+.f64 eps 0) (fma.f64 2 x eps)))) (cos.f64 (.f64 1/2 (+.f64 (+.f64 eps 0) (fma.f64 2 x eps)))))))
(fma.f64 1 (cos.f64 (.f64 1/2 (-.f64 (+.f64 eps 0) (fma.f64 2 x eps)))) (neg.f64 (cos.f64 (.f64 1/2 (+.f64 (+.f64 eps 0) (fma.f64 2 x eps))))))
(fma.f64 (sqrt.f64 (cos.f64 (.f64 1/2 (-.f64 (+.f64 eps 0) (fma.f64 2 x eps))))) (sqrt.f64 (cos.f64 (.f64 1/2 (-.f64 (+.f64 eps 0) (fma.f64 2 x eps))))) (neg.f64 (cos.f64 (*.f64 1/2 (+.f64 (+.f64 eps 0) (fma.f64 2 x eps))))))
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 (.f64 1/2 (-.f64 (+.f64 eps 0) (fma.f64 2 x eps))))) 2) (cbrt.f64 (cos.f64 (.f64 1/2 (-.f64 (+.f64 eps 0) (fma.f64 2 x eps))))) (neg.f64 (cos.f64 (*.f64 1/2 (+.f64 (+.f64 eps 0) (fma.f64 2 x eps))))))

Outputs
(cos.f64 eps)
(+.f64 (cos.f64 eps) (.f64 -1 (.f64 x (sin.f64 eps))))
(+.f64 (cos.f64 eps) (*.f64 (neg.f64 x) (sin.f64 eps)))
(-.f64 (cos.f64 eps) (*.f64 x (sin.f64 eps)))
(+.f64 (cos.f64 eps) (+.f64 (.f64 -1/2 (.f64 (cos.f64 eps) (pow.f64 x 2))) (.f64 -1 (.f64 x (sin.f64 eps)))))
(+.f64 (cos.f64 eps) (fma.f64 -1/2 (.f64 (cos.f64 eps) (.f64 x x)) (*.f64 (neg.f64 x) (sin.f64 eps))))
(+.f64 (cos.f64 eps) (-.f64 (.f64 (cos.f64 eps) (.f64 (.f64 x x) -1/2)) (.f64 x (sin.f64 eps))))
(+.f64 (cos.f64 eps) (+.f64 (.f64 1/6 (.f64 (pow.f64 x 3) (sin.f64 eps))) (+.f64 (.f64 -1/2 (.f64 (cos.f64 eps) (pow.f64 x 2))) (.f64 -1 (.f64 x (sin.f64 eps))))))
(+.f64 (cos.f64 eps) (fma.f64 1/6 (.f64 (sin.f64 eps) (pow.f64 x 3)) (fma.f64 -1/2 (.f64 (cos.f64 eps) (.f64 x x)) (.f64 (neg.f64 x) (sin.f64 eps)))))
(+.f64 (cos.f64 eps) (fma.f64 1/6 (.f64 (sin.f64 eps) (pow.f64 x 3)) (-.f64 (.f64 (cos.f64 eps) (.f64 (.f64 x x) -1/2)) (*.f64 x (sin.f64 eps)))))
(cos.f64 (+.f64 (.f64 1/2 (+.f64 eps (.f64 2 x))) (*.f64 1/2 eps)))
(cos.f64 (*.f64 1/2 (+.f64 eps (fma.f64 2 x eps))))
(cos.f64 (*.f64 1/2 (+.f64 eps (fma.f64 x 2 eps))))
(cos.f64 (+.f64 (.f64 1/2 (+.f64 eps (.f64 2 x))) (*.f64 1/2 eps)))
(cos.f64 (*.f64 1/2 (+.f64 eps (fma.f64 2 x eps))))
(cos.f64 (*.f64 1/2 (+.f64 eps (fma.f64 x 2 eps))))
(cos.f64 (+.f64 (.f64 1/2 (+.f64 eps (.f64 2 x))) (*.f64 1/2 eps)))
(cos.f64 (*.f64 1/2 (+.f64 eps (fma.f64 2 x eps))))
(cos.f64 (*.f64 1/2 (+.f64 eps (fma.f64 x 2 eps))))
(cos.f64 (+.f64 (.f64 1/2 (+.f64 eps (.f64 2 x))) (*.f64 1/2 eps)))
(cos.f64 (*.f64 1/2 (+.f64 eps (fma.f64 2 x eps))))
(cos.f64 (*.f64 1/2 (+.f64 eps (fma.f64 x 2 eps))))
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(/.f64 (-.f64 (pow.f64 (cos.f64 (.f64 1/2 (-.f64 eps (fma.f64 x 2 eps)))) 3) (pow.f64 (cos.f64 (.f64 1/2 (+.f64 eps (fma.f64 x 2 eps)))) 3)) (+.f64 (pow.f64 (cos.f64 (.f64 1/2 (-.f64 eps (fma.f64 x 2 eps)))) 2) (.f64 (cos.f64 (.f64 1/2 (+.f64 eps (fma.f64 x 2 eps)))) (+.f64 (cos.f64 (.f64 1/2 (+.f64 eps (fma.f64 x 2 eps)))) (cos.f64 (*.f64 1/2 (-.f64 eps (fma.f64 x 2 eps))))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (cos.f64 (.f64 1/2 (-.f64 (+.f64 eps 0) (fma.f64 2 x eps)))) 2) (pow.f64 (cos.f64 (.f64 1/2 (+.f64 (+.f64 eps 0) (fma.f64 2 x eps)))) 2))) (neg.f64 (+.f64 (cos.f64 (.f64 1/2 (+.f64 (+.f64 eps 0) (fma.f64 2 x eps)))) (cos.f64 (.f64 1/2 (-.f64 (+.f64 eps 0) (fma.f64 2 x eps)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (cos.f64 (.f64 1/2 (-.f64 eps (fma.f64 2 x eps)))) 2) (pow.f64 (cos.f64 (.f64 1/2 (+.f64 eps (fma.f64 2 x eps)))) 2))) (neg.f64 (+.f64 (cos.f64 (.f64 1/2 (+.f64 eps (fma.f64 2 x eps)))) (cos.f64 (.f64 1/2 (-.f64 eps (fma.f64 2 x eps)))))))
(.f64 1 (/.f64 (-.f64 (pow.f64 (cos.f64 (.f64 1/2 (-.f64 eps (fma.f64 x 2 eps)))) 2) (pow.f64 (cos.f64 (.f64 1/2 (+.f64 eps (fma.f64 x 2 eps)))) 2)) (+.f64 (cos.f64 (.f64 1/2 (+.f64 eps (fma.f64 x 2 eps)))) (cos.f64 (*.f64 1/2 (-.f64 eps (fma.f64 x 2 eps)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (cos.f64 (.f64 1/2 (-.f64 (+.f64 eps 0) (fma.f64 2 x eps)))) 3) (pow.f64 (cos.f64 (.f64 1/2 (+.f64 (+.f64 eps 0) (fma.f64 2 x eps)))) 3))) (neg.f64 (+.f64 (pow.f64 (cos.f64 (.f64 1/2 (-.f64 (+.f64 eps 0) (fma.f64 2 x eps)))) 2) (.f64 (cos.f64 (.f64 1/2 (+.f64 (+.f64 eps 0) (fma.f64 2 x eps)))) (+.f64 (cos.f64 (.f64 1/2 (+.f64 (+.f64 eps 0) (fma.f64 2 x eps)))) (cos.f64 (*.f64 1/2 (-.f64 (+.f64 eps 0) (fma.f64 2 x eps)))))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (cos.f64 (.f64 1/2 (-.f64 eps (fma.f64 2 x eps)))) 3) (pow.f64 (cos.f64 (.f64 1/2 (+.f64 eps (fma.f64 2 x eps)))) 3))) (neg.f64 (+.f64 (pow.f64 (cos.f64 (.f64 1/2 (-.f64 eps (fma.f64 2 x eps)))) 2) (.f64 (cos.f64 (.f64 1/2 (+.f64 eps (fma.f64 2 x eps)))) (+.f64 (cos.f64 (.f64 1/2 (+.f64 eps (fma.f64 2 x eps)))) (cos.f64 (*.f64 1/2 (-.f64 eps (fma.f64 2 x eps)))))))))
(.f64 1 (/.f64 (-.f64 (pow.f64 (cos.f64 (.f64 1/2 (-.f64 eps (fma.f64 x 2 eps)))) 3) (pow.f64 (cos.f64 (.f64 1/2 (+.f64 eps (fma.f64 x 2 eps)))) 3)) (+.f64 (pow.f64 (cos.f64 (.f64 1/2 (-.f64 eps (fma.f64 x 2 eps)))) 2) (.f64 (cos.f64 (.f64 1/2 (+.f64 eps (fma.f64 x 2 eps)))) (+.f64 (cos.f64 (.f64 1/2 (+.f64 eps (fma.f64 x 2 eps)))) (cos.f64 (.f64 1/2 (-.f64 eps (fma.f64 x 2 eps)))))))))
(pow.f64 (-.f64 (cos.f64 (.f64 1/2 (-.f64 (+.f64 eps 0) (fma.f64 2 x eps)))) (cos.f64 (.f64 1/2 (+.f64 (+.f64 eps 0) (fma.f64 2 x eps))))) 1)
(-.f64 (cos.f64 (.f64 1/2 (-.f64 eps (fma.f64 2 x eps)))) (cos.f64 (.f64 1/2 (+.f64 eps (fma.f64 2 x eps)))))
(-.f64 (cos.f64 (.f64 1/2 (-.f64 eps (fma.f64 x 2 eps)))) (cos.f64 (.f64 1/2 (+.f64 eps (fma.f64 x 2 eps)))))
(pow.f64 (sqrt.f64 (-.f64 (cos.f64 (.f64 1/2 (-.f64 (+.f64 eps 0) (fma.f64 2 x eps)))) (cos.f64 (.f64 1/2 (+.f64 (+.f64 eps 0) (fma.f64 2 x eps)))))) 2)
(-.f64 (cos.f64 (.f64 1/2 (-.f64 eps (fma.f64 2 x eps)))) (cos.f64 (.f64 1/2 (+.f64 eps (fma.f64 2 x eps)))))
(-.f64 (cos.f64 (.f64 1/2 (-.f64 eps (fma.f64 x 2 eps)))) (cos.f64 (.f64 1/2 (+.f64 eps (fma.f64 x 2 eps)))))
(pow.f64 (cbrt.f64 (-.f64 (cos.f64 (.f64 1/2 (-.f64 (+.f64 eps 0) (fma.f64 2 x eps)))) (cos.f64 (.f64 1/2 (+.f64 (+.f64 eps 0) (fma.f64 2 x eps)))))) 3)
(-.f64 (cos.f64 (.f64 1/2 (-.f64 eps (fma.f64 2 x eps)))) (cos.f64 (.f64 1/2 (+.f64 eps (fma.f64 2 x eps)))))
(-.f64 (cos.f64 (.f64 1/2 (-.f64 eps (fma.f64 x 2 eps)))) (cos.f64 (.f64 1/2 (+.f64 eps (fma.f64 x 2 eps)))))
(pow.f64 (pow.f64 (-.f64 (cos.f64 (.f64 1/2 (-.f64 (+.f64 eps 0) (fma.f64 2 x eps)))) (cos.f64 (.f64 1/2 (+.f64 (+.f64 eps 0) (fma.f64 2 x eps))))) 3) 1/3)
(-.f64 (cos.f64 (.f64 1/2 (-.f64 eps (fma.f64 2 x eps)))) (cos.f64 (.f64 1/2 (+.f64 eps (fma.f64 2 x eps)))))
(-.f64 (cos.f64 (.f64 1/2 (-.f64 eps (fma.f64 x 2 eps)))) (cos.f64 (.f64 1/2 (+.f64 eps (fma.f64 x 2 eps)))))
(sqrt.f64 (pow.f64 (-.f64 (cos.f64 (.f64 1/2 (-.f64 (+.f64 eps 0) (fma.f64 2 x eps)))) (cos.f64 (.f64 1/2 (+.f64 (+.f64 eps 0) (fma.f64 2 x eps))))) 2))
(sqrt.f64 (pow.f64 (-.f64 (cos.f64 (.f64 1/2 (-.f64 eps (fma.f64 2 x eps)))) (cos.f64 (.f64 1/2 (+.f64 eps (fma.f64 2 x eps))))) 2))
(fabs.f64 (-.f64 (cos.f64 (.f64 1/2 (-.f64 eps (fma.f64 x 2 eps)))) (cos.f64 (.f64 1/2 (+.f64 eps (fma.f64 x 2 eps))))))
(log.f64 (exp.f64 (-.f64 (cos.f64 (.f64 1/2 (-.f64 (+.f64 eps 0) (fma.f64 2 x eps)))) (cos.f64 (.f64 1/2 (+.f64 (+.f64 eps 0) (fma.f64 2 x eps)))))))
(-.f64 (cos.f64 (.f64 1/2 (-.f64 eps (fma.f64 2 x eps)))) (cos.f64 (.f64 1/2 (+.f64 eps (fma.f64 2 x eps)))))
(-.f64 (cos.f64 (.f64 1/2 (-.f64 eps (fma.f64 x 2 eps)))) (cos.f64 (.f64 1/2 (+.f64 eps (fma.f64 x 2 eps)))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (cos.f64 (.f64 1/2 (-.f64 (+.f64 eps 0) (fma.f64 2 x eps)))) (cos.f64 (.f64 1/2 (+.f64 (+.f64 eps 0) (fma.f64 2 x eps))))))))
(-.f64 (cos.f64 (.f64 1/2 (-.f64 eps (fma.f64 2 x eps)))) (cos.f64 (.f64 1/2 (+.f64 eps (fma.f64 2 x eps)))))
(-.f64 (cos.f64 (.f64 1/2 (-.f64 eps (fma.f64 x 2 eps)))) (cos.f64 (.f64 1/2 (+.f64 eps (fma.f64 x 2 eps)))))
(cbrt.f64 (pow.f64 (-.f64 (cos.f64 (.f64 1/2 (-.f64 (+.f64 eps 0) (fma.f64 2 x eps)))) (cos.f64 (.f64 1/2 (+.f64 (+.f64 eps 0) (fma.f64 2 x eps))))) 3))
(-.f64 (cos.f64 (.f64 1/2 (-.f64 eps (fma.f64 2 x eps)))) (cos.f64 (.f64 1/2 (+.f64 eps (fma.f64 2 x eps)))))
(-.f64 (cos.f64 (.f64 1/2 (-.f64 eps (fma.f64 x 2 eps)))) (cos.f64 (.f64 1/2 (+.f64 eps (fma.f64 x 2 eps)))))
(expm1.f64 (log1p.f64 (-.f64 (cos.f64 (.f64 1/2 (-.f64 (+.f64 eps 0) (fma.f64 2 x eps)))) (cos.f64 (.f64 1/2 (+.f64 (+.f64 eps 0) (fma.f64 2 x eps)))))))
(-.f64 (cos.f64 (.f64 1/2 (-.f64 eps (fma.f64 2 x eps)))) (cos.f64 (.f64 1/2 (+.f64 eps (fma.f64 2 x eps)))))
(-.f64 (cos.f64 (.f64 1/2 (-.f64 eps (fma.f64 x 2 eps)))) (cos.f64 (.f64 1/2 (+.f64 eps (fma.f64 x 2 eps)))))
(exp.f64 (log.f64 (-.f64 (cos.f64 (.f64 1/2 (-.f64 (+.f64 eps 0) (fma.f64 2 x eps)))) (cos.f64 (.f64 1/2 (+.f64 (+.f64 eps 0) (fma.f64 2 x eps)))))))
(-.f64 (cos.f64 (.f64 1/2 (-.f64 eps (fma.f64 2 x eps)))) (cos.f64 (.f64 1/2 (+.f64 eps (fma.f64 2 x eps)))))
(-.f64 (cos.f64 (.f64 1/2 (-.f64 eps (fma.f64 x 2 eps)))) (cos.f64 (.f64 1/2 (+.f64 eps (fma.f64 x 2 eps)))))
(exp.f64 (.f64 (log.f64 (-.f64 (cos.f64 (.f64 1/2 (-.f64 (+.f64 eps 0) (fma.f64 2 x eps)))) (cos.f64 (*.f64 1/2 (+.f64 (+.f64 eps 0) (fma.f64 2 x eps)))))) 1))
(-.f64 (cos.f64 (.f64 1/2 (-.f64 eps (fma.f64 2 x eps)))) (cos.f64 (.f64 1/2 (+.f64 eps (fma.f64 2 x eps)))))
(-.f64 (cos.f64 (.f64 1/2 (-.f64 eps (fma.f64 x 2 eps)))) (cos.f64 (.f64 1/2 (+.f64 eps (fma.f64 x 2 eps)))))
(log1p.f64 (expm1.f64 (-.f64 (cos.f64 (.f64 1/2 (-.f64 (+.f64 eps 0) (fma.f64 2 x eps)))) (cos.f64 (.f64 1/2 (+.f64 (+.f64 eps 0) (fma.f64 2 x eps)))))))
(-.f64 (cos.f64 (.f64 1/2 (-.f64 eps (fma.f64 2 x eps)))) (cos.f64 (.f64 1/2 (+.f64 eps (fma.f64 2 x eps)))))
(-.f64 (cos.f64 (.f64 1/2 (-.f64 eps (fma.f64 x 2 eps)))) (cos.f64 (.f64 1/2 (+.f64 eps (fma.f64 x 2 eps)))))
(fma.f64 1 (cos.f64 (.f64 1/2 (-.f64 (+.f64 eps 0) (fma.f64 2 x eps)))) (neg.f64 (cos.f64 (.f64 1/2 (+.f64 (+.f64 eps 0) (fma.f64 2 x eps))))))
(-.f64 (cos.f64 (.f64 1/2 (-.f64 eps (fma.f64 2 x eps)))) (cos.f64 (.f64 1/2 (+.f64 eps (fma.f64 2 x eps)))))
(-.f64 (cos.f64 (.f64 1/2 (-.f64 eps (fma.f64 x 2 eps)))) (cos.f64 (.f64 1/2 (+.f64 eps (fma.f64 x 2 eps)))))
(fma.f64 (sqrt.f64 (cos.f64 (.f64 1/2 (-.f64 (+.f64 eps 0) (fma.f64 2 x eps))))) (sqrt.f64 (cos.f64 (.f64 1/2 (-.f64 (+.f64 eps 0) (fma.f64 2 x eps))))) (neg.f64 (cos.f64 (*.f64 1/2 (+.f64 (+.f64 eps 0) (fma.f64 2 x eps))))))
(-.f64 (cos.f64 (.f64 1/2 (-.f64 eps (fma.f64 2 x eps)))) (cos.f64 (.f64 1/2 (+.f64 eps (fma.f64 2 x eps)))))
(-.f64 (cos.f64 (.f64 1/2 (-.f64 eps (fma.f64 x 2 eps)))) (cos.f64 (.f64 1/2 (+.f64 eps (fma.f64 x 2 eps)))))
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 (.f64 1/2 (-.f64 (+.f64 eps 0) (fma.f64 2 x eps))))) 2) (cbrt.f64 (cos.f64 (.f64 1/2 (-.f64 (+.f64 eps 0) (fma.f64 2 x eps))))) (neg.f64 (cos.f64 (*.f64 1/2 (+.f64 (+.f64 eps 0) (fma.f64 2 x eps))))))
(-.f64 (cos.f64 (.f64 1/2 (-.f64 eps (fma.f64 2 x eps)))) (cos.f64 (.f64 1/2 (+.f64 eps (fma.f64 2 x eps)))))
(-.f64 (cos.f64 (.f64 1/2 (-.f64 eps (fma.f64 x 2 eps)))) (cos.f64 (.f64 1/2 (+.f64 eps (fma.f64 x 2 eps)))))

localize39.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2%	(exp.f64 (cos.f64 (+.f64 x eps)))
✓	0.84%	(log.f64 (exp.f64 (cos.f64 (+.f64 x eps))))
	5.96%	(cos.f64 (+.f64 x eps))
✓	17.9%	(-.f64 (log.f64 (exp.f64 (cos.f64 (+.f64 x eps)))) (cos.f64 x))

Compiler

Compiled 33 to 8 computations (75.8% saved)

series4.0ms (0%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
2.0ms	eps	@	0	(exp.f64 (cos.f64 (+.f64 x eps)))
0.0ms	x	@	0	(exp.f64 (cos.f64 (+.f64 x eps)))
0.0ms	x	@	0	(-.f64 (log.f64 (exp.f64 (cos.f64 (+.f64 x eps)))) (cos.f64 x))
0.0ms	eps	@	-inf	(exp.f64 (cos.f64 (+.f64 x eps)))
0.0ms	x	@	-inf	(exp.f64 (cos.f64 (+.f64 x eps)))

rewrite122.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1060×	`*-commutative`
832×	`associate-*r/`
718×	`distribute-lft-in`
704×	`distribute-rgt-in`
642×	`associate-*l/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	47
1	232	47
2	3067	47

Stop Event

1×	node limit

Counts

3 → 203

Calls

Call 1

Inputs
(-.f64 (log.f64 (exp.f64 (cos.f64 (+.f64 x eps)))) (cos.f64 x))
(log.f64 (exp.f64 (cos.f64 (+.f64 x eps))))
(exp.f64 (cos.f64 (+.f64 x eps)))

Outputs

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

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

simplify216.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1188×	`associate--r+`
1092×	`fma-def`
730×	`associate-r`
638×	`associate-l`
546×	`+-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	577	12989
1	1592	12305
2	7342	12305

Stop Event

1×	node limit

Counts

275 → 363

Calls

Call 1

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

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

localize15.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.14%	(fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x))
✓	0.18%	(*.f64 (cos.f64 eps) (cos.f64 x))
✓	3.27%	(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))

Compiler

Compiled 37 to 9 computations (75.7% saved)

series3.0ms (0%)

Counts

3 → 60

Calls

18 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))
0.0ms	x	@	-inf	(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))
0.0ms	eps	@	-inf	(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))
0.0ms	eps	@	0	(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))
0.0ms	eps	@	inf	(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))

rewrite173.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

790×	`distribute-rgt-in`
772×	`associate-*r/`
740×	`distribute-lft-in`
668×	`associate-*l/`
294×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	77
1	272	57
2	3575	57

Stop Event

1×	node limit

Counts

3 → 175

Calls

Call 1

Inputs
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))
(*.f64 (cos.f64 eps) (cos.f64 x))
(fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x))

Outputs

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

simplify180.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1622×	`associate-+r+`
1174×	`+-commutative`
838×	`fma-def`
812×	`associate-r`
686×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	526	14693
1	1441	14287
2	7100	14287

Stop Event

1×	node limit

Counts

235 → 324

Calls

Call 1

Inputs
(.f64 -1 (.f64 eps (sin.f64 x)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (.f64 -1 (.f64 eps (sin.f64 x))))
(+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) (sin.f64 x))) (+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (.f64 -1 (.f64 eps (sin.f64 x)))))
(+.f64 (.f64 1/24 (.f64 (pow.f64 eps 4) (cos.f64 x))) (+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) (sin.f64 x))) (+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (.f64 -1 (.f64 eps (sin.f64 x))))))
(-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (.f64 (sin.f64 x) (sin.f64 eps))))
(-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (.f64 (sin.f64 x) (sin.f64 eps))))
(-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (.f64 (sin.f64 x) (sin.f64 eps))))
(-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (.f64 (sin.f64 x) (sin.f64 eps))))
(-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (.f64 (sin.f64 x) (sin.f64 eps))))
(-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (.f64 (sin.f64 x) (sin.f64 eps))))
(-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (.f64 (sin.f64 x) (sin.f64 eps))))
(-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (.f64 (sin.f64 x) (sin.f64 eps))))
(-.f64 (cos.f64 eps) 1)
(-.f64 (+.f64 (cos.f64 eps) (.f64 -1 (.f64 x (sin.f64 eps)))) 1)
(-.f64 (+.f64 (cos.f64 eps) (+.f64 (.f64 -1 (.f64 x (sin.f64 eps))) (.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2)))) 1)
(-.f64 (+.f64 (cos.f64 eps) (+.f64 (.f64 1/6 (.f64 (pow.f64 x 3) (sin.f64 eps))) (+.f64 (.f64 -1 (.f64 x (sin.f64 eps))) (.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2))))) 1)
(-.f64 (.f64 (cos.f64 eps) (cos.f64 x)) (+.f64 (cos.f64 x) (.f64 (sin.f64 x) (sin.f64 eps))))
(-.f64 (.f64 (cos.f64 eps) (cos.f64 x)) (+.f64 (cos.f64 x) (.f64 (sin.f64 x) (sin.f64 eps))))
(-.f64 (.f64 (cos.f64 eps) (cos.f64 x)) (+.f64 (cos.f64 x) (.f64 (sin.f64 x) (sin.f64 eps))))
(-.f64 (.f64 (cos.f64 eps) (cos.f64 x)) (+.f64 (cos.f64 x) (.f64 (sin.f64 x) (sin.f64 eps))))
(-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (.f64 (sin.f64 x) (sin.f64 eps))))
(-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (.f64 (sin.f64 x) (sin.f64 eps))))
(-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (.f64 (sin.f64 x) (sin.f64 eps))))
(-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (.f64 (sin.f64 x) (sin.f64 eps))))
(cos.f64 x)
(+.f64 (cos.f64 x) (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))))
(+.f64 (.f64 1/24 (.f64 (pow.f64 eps 4) (cos.f64 x))) (+.f64 (cos.f64 x) (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))))
(+.f64 (.f64 1/24 (.f64 (pow.f64 eps 4) (cos.f64 x))) (+.f64 (cos.f64 x) (+.f64 (.f64 -1/720 (.f64 (pow.f64 eps 6) (cos.f64 x))) (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))))))
(cos.f64 eps)
(+.f64 (cos.f64 eps) (.f64 -1/2 (.f64 (cos.f64 eps) (pow.f64 x 2))))
(+.f64 (cos.f64 eps) (+.f64 (.f64 -1/2 (.f64 (cos.f64 eps) (pow.f64 x 2))) (.f64 1/24 (.f64 (cos.f64 eps) (pow.f64 x 4)))))
(+.f64 (.f64 -1/720 (.f64 (cos.f64 eps) (pow.f64 x 6))) (+.f64 (cos.f64 eps) (+.f64 (.f64 -1/2 (.f64 (cos.f64 eps) (pow.f64 x 2))) (.f64 1/24 (.f64 (cos.f64 eps) (pow.f64 x 4))))))
(*.f64 (cos.f64 x) (cos.f64 eps))
(*.f64 (cos.f64 x) (cos.f64 eps))
(*.f64 (cos.f64 x) (cos.f64 eps))
(*.f64 (cos.f64 x) (cos.f64 eps))
(cos.f64 x)
(+.f64 (*.f64 eps (sin.f64 x)) (cos.f64 x))
(+.f64 (.f64 eps (sin.f64 x)) (+.f64 (cos.f64 x) (.f64 -1/6 (*.f64 (pow.f64 eps 3) (sin.f64 x)))))
(+.f64 (.f64 eps (sin.f64 x)) (+.f64 (cos.f64 x) (+.f64 (.f64 1/120 (.f64 (pow.f64 eps 5) (sin.f64 x))) (.f64 -1/6 (*.f64 (pow.f64 eps 3) (sin.f64 x))))))
(+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps)))
(+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps)))
(+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps)))
(+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps)))
(+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps)))
(+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps)))
(+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps)))
(+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps)))
1
(+.f64 1 (*.f64 (sin.f64 eps) x))
(+.f64 1 (+.f64 (.f64 (sin.f64 eps) x) (.f64 -1/2 (pow.f64 x 2))))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 x 3) (sin.f64 eps))) (+.f64 1 (+.f64 (.f64 (sin.f64 eps) x) (.f64 -1/2 (pow.f64 x 2)))))
(+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps)))
(+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps)))
(+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps)))
(+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps)))
(+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps)))
(+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps)))
(+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps)))
(+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps)))
(+.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (neg.f64 (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x))))
(+.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (+.f64 (neg.f64 (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x))) (fma.f64 (neg.f64 (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x))) 1 (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))))
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(fma.f64 (sqrt.f64 (.f64 (cos.f64 eps) (cos.f64 x))) (sqrt.f64 (.f64 (cos.f64 eps) (cos.f64 x))) (neg.f64 (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x))))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 eps) (cos.f64 x))) 2) (cbrt.f64 (.f64 (cos.f64 eps) (cos.f64 x))) (neg.f64 (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 eps) (cos.f64 x)))) 1)
(/.f64 1 (/.f64 2 (+.f64 (cos.f64 (+.f64 eps x)) (cos.f64 (-.f64 eps x)))))
(/.f64 (+.f64 (cos.f64 (+.f64 eps x)) (cos.f64 (-.f64 eps x))) 2)
(/.f64 2 (/.f64 2 (*.f64 (cos.f64 (/.f64 (+.f64 eps (+.f64 x (-.f64 eps x))) 2)) (cos.f64 (/.f64 (+.f64 eps (-.f64 x (-.f64 eps x))) 2)))))
(/.f64 (sqrt.f64 (+.f64 (cos.f64 (+.f64 eps x)) (cos.f64 (-.f64 eps x)))) (/.f64 2 (sqrt.f64 (+.f64 (cos.f64 (+.f64 eps x)) (cos.f64 (-.f64 eps x))))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (cos.f64 (+.f64 eps x)) (cos.f64 (-.f64 eps x)))) (cbrt.f64 (+.f64 (cos.f64 (+.f64 eps x)) (cos.f64 (-.f64 eps x))))) (/.f64 2 (cbrt.f64 (+.f64 (cos.f64 (+.f64 eps x)) (cos.f64 (-.f64 eps x))))))
(/.f64 (-.f64 (.f64 (cos.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (.f64 (cos.f64 (-.f64 eps x)) (cos.f64 (-.f64 eps x)))) (*.f64 2 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 (-.f64 eps x)))))
(/.f64 (+.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 3) (pow.f64 (cos.f64 (-.f64 eps x)) 3)) (.f64 2 (+.f64 (.f64 (cos.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (*.f64 (cos.f64 (-.f64 eps x)) (-.f64 (cos.f64 (-.f64 eps x)) (cos.f64 (+.f64 eps x)))))))
(/.f64 (neg.f64 (+.f64 (cos.f64 (+.f64 eps x)) (cos.f64 (-.f64 eps x)))) -2)
(/.f64 (+.f64 (cos.f64 (+.f64 eps x)) (cos.f64 (-.f64 x eps))) 2)
(/.f64 (*.f64 (+.f64 (cos.f64 (+.f64 eps x)) (cos.f64 (-.f64 eps x))) 1) 2)
(/.f64 (*.f64 1 (neg.f64 (+.f64 (cos.f64 (+.f64 eps x)) (cos.f64 (-.f64 eps x))))) -2)
(/.f64 (*.f64 1 (+.f64 (cos.f64 (+.f64 eps x)) (cos.f64 (-.f64 x eps)))) 2)
(/.f64 (.f64 (sqrt.f64 (.f64 (cos.f64 eps) (cos.f64 x))) (sqrt.f64 (+.f64 (cos.f64 (+.f64 eps x)) (cos.f64 (-.f64 eps x))))) (sqrt.f64 2))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 eps) (cos.f64 x))) 2) (cbrt.f64 (+.f64 (cos.f64 (+.f64 eps x)) (cos.f64 (-.f64 eps x))))) (cbrt.f64 2))
(/.f64 (*.f64 (neg.f64 (+.f64 (cos.f64 (+.f64 eps x)) (cos.f64 (-.f64 eps x)))) 1) -2)
(/.f64 (*.f64 (+.f64 (cos.f64 (+.f64 eps x)) (cos.f64 (-.f64 x eps))) 1) 2)
(/.f64 (.f64 (sqrt.f64 (+.f64 (cos.f64 (+.f64 eps x)) (cos.f64 (-.f64 eps x)))) (sqrt.f64 (.f64 (cos.f64 eps) (cos.f64 x)))) (sqrt.f64 2))
(/.f64 (.f64 (cbrt.f64 (+.f64 (cos.f64 (+.f64 eps x)) (cos.f64 (-.f64 eps x)))) (pow.f64 (cbrt.f64 (.f64 (cos.f64 eps) (cos.f64 x))) 2)) (cbrt.f64 2))
(/.f64 (.f64 (-.f64 (.f64 (cos.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (*.f64 (cos.f64 (-.f64 eps x)) (cos.f64 (-.f64 eps x)))) 1/2) (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 (-.f64 eps x))))
(/.f64 (.f64 (+.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 3) (pow.f64 (cos.f64 (-.f64 eps x)) 3)) 1/2) (+.f64 (.f64 (cos.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (*.f64 (cos.f64 (-.f64 eps x)) (-.f64 (cos.f64 (-.f64 eps x)) (cos.f64 (+.f64 eps x))))))
(pow.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) 1)
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 eps) (cos.f64 x))) 2)
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 eps) (cos.f64 x))) 3)
(pow.f64 (pow.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) 2))
(log.f64 (pow.f64 (exp.f64 (cos.f64 eps)) (cos.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (cos.f64 eps) (cos.f64 x)))))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) 3))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 eps) (cos.f64 x))))
(exp.f64 (log.f64 (*.f64 (cos.f64 eps) (cos.f64 x))))
(exp.f64 (.f64 (log.f64 (.f64 (cos.f64 eps) (cos.f64 x))) 1))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 eps) (cos.f64 x))))
(+.f64 (cos.f64 x) (*.f64 (sin.f64 eps) (sin.f64 x)))
(+.f64 (cos.f64 x) (.f64 (.f64 (sin.f64 eps) (sin.f64 x)) 1))
(+.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (cos.f64 x))
(+.f64 (.f64 (.f64 (sin.f64 eps) (sin.f64 x)) 1) (cos.f64 x))
(+.f64 (.f64 1 (.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) 1)) (cos.f64 x))
(+.f64 (.f64 (.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) 1) 1) (cos.f64 x))
(-.f64 (exp.f64 (log1p.f64 (cos.f64 x))) (-.f64 1 (*.f64 (sin.f64 eps) (sin.f64 x))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))) 1)
(-.f64 (+.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (exp.f64 (log1p.f64 (cos.f64 x)))) 1)
(-.f64 (+.f64 (.f64 (.f64 (sin.f64 eps) (sin.f64 x)) 1) (exp.f64 (log1p.f64 (cos.f64 x)))) 1)
(*.f64 (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)) 1)
(*.f64 1 (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))
(*.f64 (sqrt.f64 (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x))) (sqrt.f64 (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x))))
(*.f64 (cbrt.f64 (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x))) (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x))) 2) (cbrt.f64 (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x))))
(/.f64 (-.f64 (.f64 (.f64 (sin.f64 eps) (sin.f64 x)) (.f64 (sin.f64 eps) (sin.f64 x))) (pow.f64 (cos.f64 x) 2)) (-.f64 (.f64 (sin.f64 eps) (sin.f64 x)) (cos.f64 x)))
(/.f64 (+.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (.f64 (sin.f64 eps) (sin.f64 x)) 3)) (+.f64 (.f64 (.f64 (sin.f64 eps) (sin.f64 x)) (.f64 (sin.f64 eps) (sin.f64 x))) (.f64 (cos.f64 x) (-.f64 (cos.f64 x) (.f64 (sin.f64 eps) (sin.f64 x))))))
(/.f64 (.f64 1 (-.f64 (.f64 (.f64 (sin.f64 eps) (sin.f64 x)) (.f64 (sin.f64 eps) (sin.f64 x))) (pow.f64 (cos.f64 x) 2))) (-.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (cos.f64 x)))
(/.f64 (.f64 1 (+.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (.f64 (sin.f64 eps) (sin.f64 x)) 3))) (+.f64 (.f64 (.f64 (sin.f64 eps) (sin.f64 x)) (.f64 (sin.f64 eps) (sin.f64 x))) (.f64 (cos.f64 x) (-.f64 (cos.f64 x) (*.f64 (sin.f64 eps) (sin.f64 x))))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 (sin.f64 eps) (sin.f64 x)) (.f64 (sin.f64 eps) (sin.f64 x))) (pow.f64 (cos.f64 x) 2)) 1) (-.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (cos.f64 x)))
(/.f64 (.f64 (+.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (.f64 (sin.f64 eps) (sin.f64 x)) 3)) 1) (+.f64 (.f64 (.f64 (sin.f64 eps) (sin.f64 x)) (.f64 (sin.f64 eps) (sin.f64 x))) (.f64 (cos.f64 x) (-.f64 (cos.f64 x) (*.f64 (sin.f64 eps) (sin.f64 x))))))
(pow.f64 (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)) 1)
(pow.f64 (sqrt.f64 (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x))) 2)
(pow.f64 (cbrt.f64 (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x))) 3)
(pow.f64 (pow.f64 (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)) 2))
(log.f64 (exp.f64 (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))))
(cbrt.f64 (pow.f64 (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)) 3))
(expm1.f64 (log1p.f64 (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x))))
(exp.f64 (log.f64 (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x))))
(exp.f64 (*.f64 (log.f64 (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x))) 1))
(log1p.f64 (expm1.f64 (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x))))

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

eval876.0ms (5.3%)

Compiler: Compiled 65733 to 28935 computations (56% saved)

prune939.0ms (5.7%)

Pruning

63 alts after pruning (60 fresh and 3 done)

	Pruned	Kept	Total
New	1941	54	1995
Fresh	24	6	30
Picked	0	1	1
Done	3	2	5
Total	1968	63	2031

Error

0.09%

Counts

2031 → 63

Alt Table

Click to see full alt table

Status	Error	Program
	40.28%	(fma.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 eps) (cos.f64 x))) 2) (cbrt.f64 (.f64 (cos.f64 eps) (cos.f64 x))) (neg.f64 (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x))))
	64.29%	(fma.f64 (sqrt.f64 (.f64 (cos.f64 eps) (cos.f64 x))) (sqrt.f64 (.f64 (cos.f64 eps) (cos.f64 x))) (neg.f64 (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x))))
▶	39.11%	(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x))))
	82.42%	(fma.f64 1/24 (pow.f64 eps 4) (.f64 -1/2 (.f64 eps eps)))
	96.25%	(pow.f64 (cbrt.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))) 3)
	63.76%	(pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 3)
	39.3%	(/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 x) (cos.f64 eps)) 3) (pow.f64 (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)) 3)) (+.f64 (pow.f64 (.f64 (cos.f64 x) (cos.f64 eps)) 2) (.f64 (neg.f64 (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x))) (-.f64 (neg.f64 (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x))) (.f64 (cos.f64 x) (cos.f64 eps))))))
	81.43%	(/.f64 (.f64 (-.f64 (cos.f64 (-.f64 (.f64 (/.f64 1 (/.f64 (+.f64 x (-.f64 x eps)) (-.f64 (.f64 x x) (pow.f64 (-.f64 eps x) 2)))) 1/2) (.f64 (+.f64 eps (+.f64 x x)) 1/2))) (cos.f64 (+.f64 (.f64 (+.f64 x (-.f64 eps x)) 1/2) (.f64 (+.f64 eps (+.f64 x x)) 1/2)))) -2) 2)
	87.4%	(/.f64 (.f64 (-.f64 (cos.f64 (-.f64 (.f64 (+.f64 x (-.f64 eps x)) 1/2) (*.f64 (+.f64 eps (+.f64 x x)) 1/2))) (cos.f64 x)) -2) 2)
	63.83%	(/.f64 (.f64 (-.f64 (cos.f64 (-.f64 (.f64 1/2 eps) (.f64 1/2 (-.f64 eps (.f64 -2 x))))) (cos.f64 (+.f64 (.f64 1/2 (-.f64 eps (.f64 -2 x))) (*.f64 1/2 eps)))) -2) 2)
	63.95%	(/.f64 (.f64 (-.f64 (cos.f64 (+.f64 (+.f64 (.f64 (fma.f64 2 x eps) -1/2) (.f64 (-.f64 eps x) 1/2)) (.f64 x 1/2))) (cos.f64 (+.f64 (.f64 (+.f64 x (-.f64 eps x)) 1/2) (.f64 (+.f64 eps (+.f64 x x)) 1/2)))) -2) 2)
▶	63.52%	(/.f64 (.f64 (-.f64 (cos.f64 (neg.f64 x)) (cos.f64 (+.f64 (.f64 1/2 (+.f64 eps (.f64 2 x))) (.f64 1/2 eps)))) -2) 2)
	49.46%	(/.f64 (.f64 (+.f64 (.f64 eps (sin.f64 x)) (+.f64 (+.f64 (.f64 (cos.f64 x) (.f64 1/2 (.f64 eps eps))) (.f64 (sin.f64 x) (*.f64 -1/6 (pow.f64 eps 3)))) 0)) -2) 2)
	88.38%	(/.f64 (*.f64 0 -2) 2)
	56.79%	(/.f64 (sin.f64 eps) (/.f64 (-.f64 -1 (cos.f64 eps)) (sin.f64 eps)))
	63.61%	(/.f64 1 (/.f64 (+.f64 (cos.f64 eps) 1) (+.f64 (pow.f64 (cos.f64 eps) 2) -1)))
	63.65%	(/.f64 1 (/.f64 1 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
	39.11%	(-.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps)))) (cos.f64 x))
	52.68%	(-.f64 (-.f64 (.f64 (cos.f64 eps) (cos.f64 x)) (cos.f64 x)) (pow.f64 (sqrt.f64 (.f64 (sin.f64 x) (sin.f64 eps))) 2))
	58.99%	(-.f64 (+.f64 (cos.f64 eps) -1) (*.f64 x (sin.f64 eps)))
	49.13%	(-.f64 (.f64 (.f64 eps eps) (.f64 -1/2 (cos.f64 x))) (.f64 eps (sin.f64 x)))
	96.63%	(-.f64 (.f64 (sin.f64 x) (sin.f64 eps)) (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))))
	89.93%	(-.f64 (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))) (.f64 (sin.f64 x) (sin.f64 eps)))
	39.14%	(-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (.f64 (sin.f64 x) (sin.f64 eps))))
✓	39.13%	(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))
	39.55%	(-.f64 (.f64 (cos.f64 eps) (cos.f64 x)) (-.f64 (exp.f64 (log1p.f64 (cos.f64 x))) (-.f64 1 (.f64 (sin.f64 eps) (sin.f64 x)))))
	63.8%	(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) 1)
	39.61%	(-.f64 (log.f64 (exp.f64 (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (.f64 (sin.f64 x) (sin.f64 eps))))) (cos.f64 x))
	63.17%	(-.f64 (log.f64 (exp.f64 (cos.f64 eps))) (cos.f64 x))
✓	63.59%	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
	88.35%	(-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))
	63.04%	(-.f64 (cos.f64 eps) (cos.f64 x))
✓	63.38%	(-.f64 (cos.f64 eps) 1)
	49.81%	(+.f64 (fma.f64 1/24 (.f64 (cos.f64 x) (pow.f64 eps 4)) (.f64 (.f64 -1/2 (cos.f64 x)) (.f64 eps eps))) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	8.9%	(+.f64 (/.f64 (/.f64 (-.f64 (pow.f64 (cos.f64 x) 6) (pow.f64 (.f64 (cos.f64 eps) (cos.f64 x)) 6)) (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps)))) (+.f64 (.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (.f64 (cos.f64 eps) (cos.f64 x)) 2)) (+.f64 (pow.f64 (cos.f64 x) 4) (pow.f64 (.f64 (cos.f64 eps) (cos.f64 x)) 4)))) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	8.5%	(+.f64 (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (cos.f64 x)) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	14.21%	(+.f64 (-.f64 (exp.f64 (log1p.f64 (.f64 (cos.f64 x) (cos.f64 eps)))) (+.f64 (cos.f64 x) 1)) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	30.98%	(+.f64 (-.f64 (cos.f64 eps) 1) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	50.69%	(+.f64 (+.f64 (-.f64 (.f64 (cos.f64 eps) (cos.f64 x)) (cos.f64 x)) (+.f64 (neg.f64 (pow.f64 (sqrt.f64 (.f64 (cos.f64 eps) (cos.f64 x))) 2)) (.f64 (cos.f64 eps) (cos.f64 x)))) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	30.82%	(+.f64 (+.f64 (neg.f64 (cos.f64 x)) (pow.f64 (cbrt.f64 (.f64 (cos.f64 x) (cos.f64 eps))) 3)) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	27.98%	(+.f64 (+.f64 (neg.f64 (cos.f64 x)) (.f64 (cos.f64 x) (cos.f64 eps))) (/.f64 (.f64 (sin.f64 eps) (neg.f64 (pow.f64 (sin.f64 x) 3))) (+.f64 0 (pow.f64 (sin.f64 x) 2))))
	8.6%	(+.f64 (+.f64 (neg.f64 (cos.f64 x)) (*.f64 (cos.f64 x) (cos.f64 eps))) (/.f64 (sin.f64 eps) (/.f64 (sin.f64 x) (neg.f64 (pow.f64 (sin.f64 x) 2)))))
	8.61%	(+.f64 (+.f64 (neg.f64 (cos.f64 x)) (*.f64 (cos.f64 x) (cos.f64 eps))) (/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (/.f64 (sin.f64 x) (sin.f64 eps))))
	60.19%	(+.f64 (+.f64 (neg.f64 (cos.f64 x)) (.f64 (cos.f64 x) (cos.f64 eps))) (+.f64 (.f64 1/6 (.f64 (pow.f64 x 3) (sin.f64 eps))) (.f64 -1 (*.f64 x (sin.f64 eps)))))
	21.27%	(+.f64 (+.f64 (neg.f64 (cos.f64 x)) (.f64 (cos.f64 eps) (log.f64 (exp.f64 (cos.f64 x))))) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	23.55%	(+.f64 (+.f64 (neg.f64 (cos.f64 x)) (log.f64 (+.f64 1 (expm1.f64 (.f64 (cos.f64 x) (cos.f64 eps)))))) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	16.91%	(+.f64 (+.f64 (neg.f64 (cos.f64 x)) (expm1.f64 (log1p.f64 (.f64 (cos.f64 x) (cos.f64 eps))))) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	53.85%	(+.f64 (+.f64 (neg.f64 (cos.f64 x)) (cos.f64 x)) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	56.23%	(+.f64 (+.f64 (neg.f64 (cos.f64 x)) (cos.f64 eps)) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	48.93%	(+.f64 (.f64 (.f64 -1/2 (cos.f64 x)) (.f64 eps eps)) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	91.33%	(+.f64 (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))) (.f64 (sin.f64 x) (sin.f64 eps)))
▶	8.45%	(+.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	96.25%	(+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))
	77.74%	(*.f64 (+.f64 (sqrt.f64 (cos.f64 eps)) 1) (-.f64 (sqrt.f64 (cos.f64 eps)) 1))
	55.85%	(.f64 (.f64 (sin.f64 (.f64 (+.f64 x (-.f64 eps x)) 1/2)) (sin.f64 (.f64 (+.f64 eps (+.f64 x x)) 1/2))) -2)
	56.67%	(*.f64 (neg.f64 eps) (sin.f64 x))
▶	82.07%	(.f64 -1/2 (.f64 eps eps))
	23.96%	(.f64 -2 (.f64 (sin.f64 (/.f64 (+.f64 eps (-.f64 x x)) 2)) (sin.f64 (/.f64 (+.f64 eps (+.f64 x x)) 2))))
	86.53%	(sqrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2))
	90.19%	(neg.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))))
	63.49%	(log1p.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1)))
	63.46%	(log.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)))
▶	96.25%	(cbrt.f64 (pow.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))) 3))

Compiler

Compiled 2274 to 1538 computations (32.4% saved)

localize21.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.09%	(*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1))
✓	0.16%	(+.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	0.34%	(*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x)))
✓	3.12%	(+.f64 (cos.f64 eps) -1)

Compiler

Compiled 47 to 18 computations (61.7% saved)

series3.0ms (0%)

Counts

3 → 60

Calls

15 calls:

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

rewrite152.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1266×	`associate-*r/`
1148×	`associate-*l/`
338×	`add-sqr-sqrt`
336×	`associate-/r*`
332×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	73
1	323	69
2	4356	69

Stop Event

1×	node limit

Counts

3 → 237

Calls

Call 1

Inputs
(+.f64 (cos.f64 eps) -1)
(+.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
(*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1))

Outputs

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

simplify182.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1144×	`associate-/l*`
1100×	`associate-r`
982×	`associate-l`
840×	`times-frac`
578×	`associate-/r*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	645	19429
1	1770	18647

Stop Event

1×	node limit

Counts

297 → 421

Calls

Call 1

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

Outputs
(*.f64 -1/2 (pow.f64 eps 2))
(.f64 -1/2 (.f64 eps eps))
(+.f64 (.f64 1/24 (pow.f64 eps 4)) (.f64 -1/2 (pow.f64 eps 2)))
(fma.f64 1/24 (pow.f64 eps 4) (.f64 -1/2 (.f64 eps eps)))
(+.f64 (.f64 1/24 (pow.f64 eps 4)) (+.f64 (.f64 -1/2 (pow.f64 eps 2)) (*.f64 -1/720 (pow.f64 eps 6))))
(fma.f64 1/24 (pow.f64 eps 4) (fma.f64 -1/2 (.f64 eps eps) (.f64 -1/720 (pow.f64 eps 6))))
(+.f64 (.f64 1/24 (pow.f64 eps 4)) (+.f64 (.f64 -1/2 (pow.f64 eps 2)) (+.f64 (.f64 -1/720 (pow.f64 eps 6)) (.f64 1/40320 (pow.f64 eps 8)))))
(fma.f64 1/24 (pow.f64 eps 4) (fma.f64 -1/2 (.f64 eps eps) (fma.f64 -1/720 (pow.f64 eps 6) (.f64 1/40320 (pow.f64 eps 8)))))
(-.f64 (cos.f64 eps) 1)
(+.f64 (cos.f64 eps) -1)
(-.f64 (cos.f64 eps) 1)
(+.f64 (cos.f64 eps) -1)
(-.f64 (cos.f64 eps) 1)
(+.f64 (cos.f64 eps) -1)
(-.f64 (cos.f64 eps) 1)
(+.f64 (cos.f64 eps) -1)
(-.f64 (cos.f64 eps) 1)
(+.f64 (cos.f64 eps) -1)
(-.f64 (cos.f64 eps) 1)
(+.f64 (cos.f64 eps) -1)
(-.f64 (cos.f64 eps) 1)
(+.f64 (cos.f64 eps) -1)
(-.f64 (cos.f64 eps) 1)
(+.f64 (cos.f64 eps) -1)
(-.f64 (cos.f64 eps) 1)
(+.f64 (cos.f64 eps) -1)
(-.f64 (+.f64 (cos.f64 eps) (.f64 -1 (.f64 x (sin.f64 eps)))) 1)
(+.f64 (cos.f64 eps) (-.f64 (neg.f64 (*.f64 x (sin.f64 eps))) 1))
(+.f64 -1 (-.f64 (cos.f64 eps) (*.f64 x (sin.f64 eps))))
(-.f64 (+.f64 (cos.f64 eps) (+.f64 (.f64 -1 (.f64 x (sin.f64 eps))) (.f64 -1/2 (.f64 (-.f64 (cos.f64 eps) 1) (pow.f64 x 2))))) 1)
(+.f64 (cos.f64 eps) (-.f64 (fma.f64 -1 (.f64 x (sin.f64 eps)) (.f64 -1/2 (.f64 (.f64 x x) (+.f64 (cos.f64 eps) -1)))) 1))
(+.f64 (cos.f64 eps) (+.f64 (-.f64 (.f64 (+.f64 (cos.f64 eps) -1) (.f64 (.f64 x x) -1/2)) (.f64 x (sin.f64 eps))) -1))
(-.f64 (+.f64 (cos.f64 eps) (+.f64 (.f64 1/6 (.f64 (pow.f64 x 3) (sin.f64 eps))) (+.f64 (.f64 -1 (.f64 x (sin.f64 eps))) (.f64 -1/2 (.f64 (-.f64 (cos.f64 eps) 1) (pow.f64 x 2)))))) 1)
(+.f64 (cos.f64 eps) (-.f64 (fma.f64 1/6 (.f64 (sin.f64 eps) (pow.f64 x 3)) (fma.f64 -1 (.f64 x (sin.f64 eps)) (.f64 -1/2 (.f64 (*.f64 x x) (+.f64 (cos.f64 eps) -1))))) 1))
(+.f64 (cos.f64 eps) (+.f64 (+.f64 (.f64 (+.f64 (cos.f64 eps) -1) (.f64 (.f64 x x) -1/2)) (.f64 (sin.f64 eps) (+.f64 (*.f64 1/6 (pow.f64 x 3)) (neg.f64 x)))) -1))
(+.f64 (.f64 -1 (.f64 (sin.f64 x) (sin.f64 eps))) (*.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)))
(-.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 (sin.f64 eps) (sin.f64 x)))
(+.f64 (.f64 -1 (.f64 (sin.f64 x) (sin.f64 eps))) (*.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)))
(-.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 (sin.f64 eps) (sin.f64 x)))
(+.f64 (.f64 -1 (.f64 (sin.f64 x) (sin.f64 eps))) (*.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)))
(-.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 (sin.f64 eps) (sin.f64 x)))
(+.f64 (.f64 -1 (.f64 (sin.f64 x) (sin.f64 eps))) (*.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)))
(-.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 (sin.f64 eps) (sin.f64 x)))
(+.f64 (.f64 -1 (.f64 (sin.f64 x) (sin.f64 eps))) (*.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)))
(-.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 (sin.f64 eps) (sin.f64 x)))
(+.f64 (.f64 -1 (.f64 (sin.f64 x) (sin.f64 eps))) (*.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)))
(-.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 (sin.f64 eps) (sin.f64 x)))
(+.f64 (.f64 -1 (.f64 (sin.f64 x) (sin.f64 eps))) (*.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)))
(-.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 (sin.f64 eps) (sin.f64 x)))
(+.f64 (.f64 -1 (.f64 (sin.f64 x) (sin.f64 eps))) (*.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)))
(-.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 (sin.f64 eps) (sin.f64 x)))
(.f64 -1 (.f64 eps (sin.f64 x)))
(neg.f64 (*.f64 eps (sin.f64 x)))
(*.f64 (sin.f64 x) (neg.f64 eps))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (.f64 -1 (.f64 eps (sin.f64 x))))
(fma.f64 -1/2 (.f64 (.f64 eps eps) (cos.f64 x)) (neg.f64 (*.f64 eps (sin.f64 x))))
(-.f64 (.f64 -1/2 (.f64 (.f64 eps eps) (cos.f64 x))) (.f64 eps (sin.f64 x)))
(+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) (sin.f64 x))) (+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (.f64 -1 (.f64 eps (sin.f64 x)))))
(fma.f64 1/6 (.f64 (sin.f64 x) (pow.f64 eps 3)) (fma.f64 -1/2 (.f64 (.f64 eps eps) (cos.f64 x)) (neg.f64 (.f64 eps (sin.f64 x)))))
(fma.f64 1/6 (.f64 (sin.f64 x) (pow.f64 eps 3)) (-.f64 (.f64 -1/2 (.f64 (.f64 eps eps) (cos.f64 x))) (*.f64 eps (sin.f64 x))))
(+.f64 (.f64 1/24 (.f64 (pow.f64 eps 4) (cos.f64 x))) (+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) (sin.f64 x))) (+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (.f64 -1 (.f64 eps (sin.f64 x))))))
(fma.f64 1/24 (.f64 (pow.f64 eps 4) (cos.f64 x)) (fma.f64 1/6 (.f64 (sin.f64 x) (pow.f64 eps 3)) (fma.f64 -1/2 (.f64 (.f64 eps eps) (cos.f64 x)) (neg.f64 (*.f64 eps (sin.f64 x))))))
(fma.f64 1/24 (.f64 (pow.f64 eps 4) (cos.f64 x)) (fma.f64 1/6 (.f64 (sin.f64 x) (pow.f64 eps 3)) (-.f64 (.f64 -1/2 (.f64 (.f64 eps eps) (cos.f64 x))) (.f64 eps (sin.f64 x)))))
(+.f64 (.f64 -1 (.f64 (sin.f64 x) (sin.f64 eps))) (*.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)))
(-.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 (sin.f64 eps) (sin.f64 x)))
(+.f64 (.f64 -1 (.f64 (sin.f64 x) (sin.f64 eps))) (*.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)))
(-.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 (sin.f64 eps) (sin.f64 x)))
(+.f64 (.f64 -1 (.f64 (sin.f64 x) (sin.f64 eps))) (*.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)))
(-.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 (sin.f64 eps) (sin.f64 x)))
(+.f64 (.f64 -1 (.f64 (sin.f64 x) (sin.f64 eps))) (*.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)))
(-.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 (sin.f64 eps) (sin.f64 x)))
(+.f64 (.f64 -1 (.f64 (sin.f64 x) (sin.f64 eps))) (*.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)))
(-.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 (sin.f64 eps) (sin.f64 x)))
(+.f64 (.f64 -1 (.f64 (sin.f64 x) (sin.f64 eps))) (*.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)))
(-.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 (sin.f64 eps) (sin.f64 x)))
(+.f64 (.f64 -1 (.f64 (sin.f64 x) (sin.f64 eps))) (*.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)))
(-.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 (sin.f64 eps) (sin.f64 x)))
(+.f64 (.f64 -1 (.f64 (sin.f64 x) (sin.f64 eps))) (*.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)))
(-.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 (sin.f64 eps) (sin.f64 x)))
(-.f64 (cos.f64 eps) 1)
(+.f64 (cos.f64 eps) -1)
(-.f64 (+.f64 (cos.f64 eps) (.f64 -1/2 (.f64 (-.f64 (cos.f64 eps) 1) (pow.f64 x 2)))) 1)
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(pow.f64 (sqrt.f64 (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1))) 2)
(pow.f64 (cbrt.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x))) 3)
(*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1))
(pow.f64 (pow.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)) 3) 1/3)
(*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1))
(sqrt.f64 (pow.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)) 2))
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) 2))
(log.f64 (pow.f64 (exp.f64 (cos.f64 x)) (+.f64 (cos.f64 eps) -1)))
(*.f64 (+.f64 (cos.f64 eps) -1) (log.f64 (exp.f64 (cos.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)))))
(*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)) 3))
(*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x))))
(*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1))
(exp.f64 (log.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x))))
(*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1))
(exp.f64 (.f64 (log.f64 (.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x))) 1))
(*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x))))
(*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1))
(fma.f64 (cos.f64 eps) (cos.f64 x) (neg.f64 (cos.f64 x)))
(*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1))
(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (cos.f64 x)))
(*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1))

localize5.0ms (0%)

Compiler: Compiled 12 to 6 computations (50% saved)

localize45.0ms (0.3%)

Local error

Found 3 expressions with local error:

New

Error

Program

✓

0.04%

(+.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))) (*.f64 1/2 eps))

✓

1.68%

(-.f64 (cos.f64 (neg.f64 x)) (cos.f64 (+.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))) (*.f64 1/2 eps))))

✓

5.89%

(cos.f64 (+.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))) (*.f64 1/2 eps)))

Compiler

Compiled 107 to 72 computations (32.7% saved)

series3.0ms (0%)

Counts

3 → 56

Calls

18 calls:

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

rewrite142.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1884×	`associate-*r/`
686×	`associate-+l+`
410×	`+-commutative`
408×	`add-sqr-sqrt`
392×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	93
1	376	69
2	5576	69

Stop Event

1×	node limit

Counts

3 → 175

Calls

Call 1

Inputs

(cos.f64 (+.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))) (*.f64 1/2 eps)))

(-.f64 (cos.f64 (neg.f64 x)) (cos.f64 (+.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))) (*.f64 1/2 eps))))

(+.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))) (*.f64 1/2 eps))

Outputs

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

simplify134.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1130×	`+-commutative`
766×	`associate-+l-`
714×	`associate-+r-`
710×	`associate--r+`
674×	`fma-def`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	502	12555
1	1358	8825
2	5518	8825

Stop Event

1×	node limit

Counts

231 → 311

Calls

Call 1

Inputs
(cos.f64 x)
(+.f64 (cos.f64 x) (.f64 -1 (.f64 eps (sin.f64 x))))
(+.f64 (cos.f64 x) (+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (.f64 -1 (.f64 eps (sin.f64 x)))))
(+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) (sin.f64 x))) (+.f64 (cos.f64 x) (+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (.f64 -1 (.f64 eps (sin.f64 x))))))
(cos.f64 (-.f64 (.f64 1/2 (-.f64 (.f64 2 x) (.f64 -1 eps))) (.f64 -1/2 eps)))
(cos.f64 (-.f64 (.f64 1/2 (-.f64 (.f64 2 x) (.f64 -1 eps))) (.f64 -1/2 eps)))
(cos.f64 (-.f64 (.f64 1/2 (-.f64 (.f64 2 x) (.f64 -1 eps))) (.f64 -1/2 eps)))
(cos.f64 (-.f64 (.f64 1/2 (-.f64 (.f64 2 x) (.f64 -1 eps))) (.f64 -1/2 eps)))
(cos.f64 eps)
(+.f64 (cos.f64 eps) (.f64 -1 (.f64 x (sin.f64 eps))))
(+.f64 (cos.f64 eps) (+.f64 (.f64 -1/2 (.f64 (cos.f64 eps) (pow.f64 x 2))) (.f64 -1 (.f64 x (sin.f64 eps)))))
(+.f64 (cos.f64 eps) (+.f64 (.f64 1/6 (.f64 (pow.f64 x 3) (sin.f64 eps))) (+.f64 (.f64 -1/2 (.f64 (cos.f64 eps) (pow.f64 x 2))) (.f64 -1 (.f64 x (sin.f64 eps))))))
(cos.f64 (+.f64 (.f64 1/2 (-.f64 eps (.f64 -2 x))) (*.f64 1/2 eps)))
(cos.f64 (+.f64 (.f64 1/2 (-.f64 eps (.f64 -2 x))) (*.f64 1/2 eps)))
(cos.f64 (+.f64 (.f64 1/2 (-.f64 eps (.f64 -2 x))) (*.f64 1/2 eps)))
(cos.f64 (+.f64 (.f64 1/2 (-.f64 eps (.f64 -2 x))) (*.f64 1/2 eps)))
(-.f64 1 (cos.f64 eps))
(-.f64 (+.f64 1 (*.f64 (sin.f64 eps) x)) (cos.f64 eps))
(-.f64 (+.f64 1 (+.f64 (.f64 (sin.f64 eps) x) (.f64 -1 (.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))))))) (cos.f64 eps))
(-.f64 (+.f64 (.f64 -1/6 (.f64 (pow.f64 x 3) (sin.f64 eps))) (+.f64 1 (+.f64 (.f64 (sin.f64 eps) x) (.f64 -1 (.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 -1/2 (cos.f64 eps)))))))) (cos.f64 eps))
(-.f64 (cos.f64 (.f64 -1 x)) (cos.f64 (+.f64 (.f64 1/2 (-.f64 eps (.f64 -2 x))) (.f64 1/2 eps))))
(-.f64 (cos.f64 (.f64 -1 x)) (cos.f64 (+.f64 (.f64 1/2 (-.f64 eps (.f64 -2 x))) (.f64 1/2 eps))))
(-.f64 (cos.f64 (.f64 -1 x)) (cos.f64 (+.f64 (.f64 1/2 (-.f64 eps (.f64 -2 x))) (.f64 1/2 eps))))
(-.f64 (cos.f64 (.f64 -1 x)) (cos.f64 (+.f64 (.f64 1/2 (-.f64 eps (.f64 -2 x))) (.f64 1/2 eps))))
(-.f64 (cos.f64 (neg.f64 x)) (cos.f64 x))
(-.f64 (+.f64 (*.f64 eps (sin.f64 x)) (cos.f64 (neg.f64 x))) (cos.f64 x))
(-.f64 (+.f64 (.f64 eps (sin.f64 x)) (+.f64 (.f64 1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (cos.f64 (neg.f64 x)))) (cos.f64 x))
(-.f64 (+.f64 (.f64 eps (sin.f64 x)) (+.f64 (.f64 1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (+.f64 (.f64 -1/6 (*.f64 (pow.f64 eps 3) (sin.f64 x))) (cos.f64 (neg.f64 x))))) (cos.f64 x))
(-.f64 (cos.f64 (neg.f64 x)) (cos.f64 (-.f64 (.f64 1/2 (-.f64 (.f64 2 x) (.f64 -1 eps))) (.f64 -1/2 eps))))
(-.f64 (cos.f64 (neg.f64 x)) (cos.f64 (-.f64 (.f64 1/2 (-.f64 (.f64 2 x) (.f64 -1 eps))) (.f64 -1/2 eps))))
(-.f64 (cos.f64 (neg.f64 x)) (cos.f64 (-.f64 (.f64 1/2 (-.f64 (.f64 2 x) (.f64 -1 eps))) (.f64 -1/2 eps))))
(-.f64 (cos.f64 (neg.f64 x)) (cos.f64 (-.f64 (.f64 1/2 (-.f64 (.f64 2 x) (.f64 -1 eps))) (.f64 -1/2 eps))))
x
(+.f64 eps x)
(+.f64 eps x)
(+.f64 eps x)
eps
(+.f64 eps x)
(+.f64 eps x)
(+.f64 eps x)
eps
(+.f64 eps x)
(+.f64 eps x)
(+.f64 eps x)
eps
(+.f64 eps x)
(+.f64 eps x)
(+.f64 eps x)
x
(+.f64 eps x)
(+.f64 eps x)
(+.f64 eps x)
x
(+.f64 eps x)
(+.f64 eps x)
(+.f64 eps x)
(+.f64 (cos.f64 (fma.f64 1/2 eps (fma.f64 1/2 eps x))) (fma.f64 (neg.f64 (sin.f64 (.f64 1/2 eps))) (sin.f64 (fma.f64 1/2 eps x)) (.f64 (sin.f64 (fma.f64 1/2 eps x)) (sin.f64 (*.f64 1/2 eps)))))
(+.f64 (cos.f64 (fma.f64 1/2 eps (fma.f64 1/2 eps x))) (+.f64 (fma.f64 (neg.f64 (sin.f64 (.f64 1/2 eps))) (sin.f64 (fma.f64 1/2 eps x)) (.f64 (sin.f64 (fma.f64 1/2 eps x)) (sin.f64 (.f64 1/2 eps)))) (fma.f64 (neg.f64 (sin.f64 (.f64 1/2 eps))) (sin.f64 (fma.f64 1/2 eps x)) (.f64 (sin.f64 (fma.f64 1/2 eps x)) (sin.f64 (.f64 1/2 eps))))))
(+.f64 (.f64 (cos.f64 (fma.f64 1/2 eps x)) (cos.f64 (.f64 1/2 eps))) (.f64 (neg.f64 (sin.f64 (fma.f64 1/2 eps x))) (sin.f64 (.f64 1/2 eps))))
(+.f64 (.f64 (cos.f64 (fma.f64 1/2 eps x)) (cos.f64 (.f64 1/2 eps))) (neg.f64 (.f64 (sin.f64 (fma.f64 1/2 eps x)) (sin.f64 (.f64 1/2 eps)))))
(+.f64 (.f64 (cos.f64 (fma.f64 1/2 eps x)) (cos.f64 (.f64 1/2 eps))) (+.f64 (.f64 (neg.f64 (sin.f64 (fma.f64 1/2 eps x))) (sin.f64 (.f64 1/2 eps))) (fma.f64 (neg.f64 (sin.f64 (.f64 1/2 eps))) (sin.f64 (fma.f64 1/2 eps x)) (.f64 (sin.f64 (fma.f64 1/2 eps x)) (sin.f64 (*.f64 1/2 eps))))))
(+.f64 (.f64 (cos.f64 (fma.f64 1/2 eps x)) (cos.f64 (.f64 1/2 eps))) (+.f64 (neg.f64 (.f64 (sin.f64 (fma.f64 1/2 eps x)) (sin.f64 (.f64 1/2 eps)))) (fma.f64 (neg.f64 (sin.f64 (.f64 1/2 eps))) (sin.f64 (fma.f64 1/2 eps x)) (.f64 (sin.f64 (fma.f64 1/2 eps x)) (sin.f64 (*.f64 1/2 eps))))))
(+.f64 (.f64 (neg.f64 (sin.f64 (fma.f64 1/2 eps x))) (sin.f64 (.f64 1/2 eps))) (.f64 (cos.f64 (fma.f64 1/2 eps x)) (cos.f64 (.f64 1/2 eps))))
(+.f64 (neg.f64 (.f64 (sin.f64 (fma.f64 1/2 eps x)) (sin.f64 (.f64 1/2 eps)))) (.f64 (cos.f64 (fma.f64 1/2 eps x)) (cos.f64 (.f64 1/2 eps))))
(+.f64 (fma.f64 (neg.f64 (sin.f64 (.f64 1/2 eps))) (sin.f64 (fma.f64 1/2 eps x)) (.f64 (sin.f64 (fma.f64 1/2 eps x)) (sin.f64 (*.f64 1/2 eps)))) (cos.f64 (fma.f64 1/2 eps (fma.f64 1/2 eps x))))
(-.f64 (.f64 (cos.f64 (fma.f64 1/2 eps x)) (cos.f64 (.f64 1/2 eps))) (.f64 (sin.f64 (fma.f64 1/2 eps x)) (sin.f64 (.f64 1/2 eps))))
(-.f64 (.f64 (cos.f64 (fma.f64 1/2 eps x)) (cos.f64 (.f64 1/2 eps))) (-.f64 (.f64 (sin.f64 (fma.f64 1/2 eps x)) (sin.f64 (.f64 1/2 eps))) (fma.f64 (neg.f64 (sin.f64 (.f64 1/2 eps))) (sin.f64 (fma.f64 1/2 eps x)) (.f64 (sin.f64 (fma.f64 1/2 eps x)) (sin.f64 (*.f64 1/2 eps))))))
(-.f64 (exp.f64 (log1p.f64 (cos.f64 (fma.f64 1/2 eps (fma.f64 1/2 eps x))))) 1)
(-.f64 (exp.f64 (log1p.f64 (cos.f64 (fma.f64 1/2 eps (fma.f64 1/2 eps x))))) (-.f64 1 (fma.f64 (neg.f64 (sin.f64 (.f64 1/2 eps))) (sin.f64 (fma.f64 1/2 eps x)) (.f64 (sin.f64 (fma.f64 1/2 eps x)) (sin.f64 (*.f64 1/2 eps))))))
(*.f64 (cos.f64 (fma.f64 1/2 eps (fma.f64 1/2 eps x))) 1)
(*.f64 1 (cos.f64 (fma.f64 1/2 eps (fma.f64 1/2 eps x))))
(*.f64 (sqrt.f64 (cos.f64 (fma.f64 1/2 eps (fma.f64 1/2 eps x)))) (sqrt.f64 (cos.f64 (fma.f64 1/2 eps (fma.f64 1/2 eps x)))))
(*.f64 (cbrt.f64 (cos.f64 (fma.f64 1/2 eps (fma.f64 1/2 eps x)))) (pow.f64 (cbrt.f64 (cos.f64 (fma.f64 1/2 eps (fma.f64 1/2 eps x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 (fma.f64 1/2 eps (fma.f64 1/2 eps x)))) 2) (cbrt.f64 (cos.f64 (fma.f64 1/2 eps (fma.f64 1/2 eps x)))))
(/.f64 (-.f64 (.f64 (.f64 (cos.f64 (fma.f64 1/2 eps x)) (cos.f64 (.f64 1/2 eps))) (.f64 (cos.f64 (fma.f64 1/2 eps x)) (cos.f64 (.f64 1/2 eps)))) (.f64 (.f64 (sin.f64 (fma.f64 1/2 eps x)) (sin.f64 (.f64 1/2 eps))) (.f64 (sin.f64 (fma.f64 1/2 eps x)) (sin.f64 (.f64 1/2 eps))))) (+.f64 (.f64 (cos.f64 (fma.f64 1/2 eps x)) (cos.f64 (.f64 1/2 eps))) (.f64 (sin.f64 (fma.f64 1/2 eps x)) (sin.f64 (.f64 1/2 eps)))))
(/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 (fma.f64 1/2 eps x)) (cos.f64 (.f64 1/2 eps))) 3) (pow.f64 (.f64 (sin.f64 (fma.f64 1/2 eps x)) (sin.f64 (.f64 1/2 eps))) 3)) (+.f64 (.f64 (.f64 (cos.f64 (fma.f64 1/2 eps x)) (cos.f64 (.f64 1/2 eps))) (.f64 (cos.f64 (fma.f64 1/2 eps x)) (cos.f64 (.f64 1/2 eps)))) (+.f64 (.f64 (.f64 (sin.f64 (fma.f64 1/2 eps x)) (sin.f64 (.f64 1/2 eps))) (.f64 (sin.f64 (fma.f64 1/2 eps x)) (sin.f64 (.f64 1/2 eps)))) (.f64 (.f64 (cos.f64 (fma.f64 1/2 eps x)) (cos.f64 (.f64 1/2 eps))) (.f64 (sin.f64 (fma.f64 1/2 eps x)) (sin.f64 (*.f64 1/2 eps)))))))
(/.f64 (.f64 1 (-.f64 (.f64 (.f64 (cos.f64 (fma.f64 1/2 eps x)) (cos.f64 (.f64 1/2 eps))) (.f64 (cos.f64 (fma.f64 1/2 eps x)) (cos.f64 (.f64 1/2 eps)))) (.f64 (.f64 (sin.f64 (fma.f64 1/2 eps x)) (sin.f64 (.f64 1/2 eps))) (.f64 (sin.f64 (fma.f64 1/2 eps x)) (sin.f64 (.f64 1/2 eps)))))) (+.f64 (.f64 (cos.f64 (fma.f64 1/2 eps x)) (cos.f64 (.f64 1/2 eps))) (.f64 (sin.f64 (fma.f64 1/2 eps x)) (sin.f64 (*.f64 1/2 eps)))))
(/.f64 (.f64 1 (-.f64 (pow.f64 (.f64 (cos.f64 (fma.f64 1/2 eps x)) (cos.f64 (.f64 1/2 eps))) 3) (pow.f64 (.f64 (sin.f64 (fma.f64 1/2 eps x)) (sin.f64 (.f64 1/2 eps))) 3))) (+.f64 (.f64 (.f64 (cos.f64 (fma.f64 1/2 eps x)) (cos.f64 (.f64 1/2 eps))) (.f64 (cos.f64 (fma.f64 1/2 eps x)) (cos.f64 (.f64 1/2 eps)))) (+.f64 (.f64 (.f64 (sin.f64 (fma.f64 1/2 eps x)) (sin.f64 (.f64 1/2 eps))) (.f64 (sin.f64 (fma.f64 1/2 eps x)) (sin.f64 (.f64 1/2 eps)))) (.f64 (.f64 (cos.f64 (fma.f64 1/2 eps x)) (cos.f64 (.f64 1/2 eps))) (.f64 (sin.f64 (fma.f64 1/2 eps x)) (sin.f64 (.f64 1/2 eps)))))))
(pow.f64 (cos.f64 (fma.f64 1/2 eps (fma.f64 1/2 eps x))) 1)
(pow.f64 (sqrt.f64 (cos.f64 (fma.f64 1/2 eps (fma.f64 1/2 eps x)))) 2)
(pow.f64 (cbrt.f64 (cos.f64 (fma.f64 1/2 eps (fma.f64 1/2 eps x)))) 3)
(pow.f64 (pow.f64 (cos.f64 (fma.f64 1/2 eps (fma.f64 1/2 eps x))) 3) 1/3)
(sqrt.f64 (pow.f64 (cos.f64 (fma.f64 1/2 eps (fma.f64 1/2 eps x))) 2))
(log.f64 (exp.f64 (cos.f64 (fma.f64 1/2 eps (fma.f64 1/2 eps x)))))
(log.f64 (+.f64 1 (expm1.f64 (cos.f64 (fma.f64 1/2 eps (fma.f64 1/2 eps x))))))
(cbrt.f64 (pow.f64 (cos.f64 (fma.f64 1/2 eps (fma.f64 1/2 eps x))) 3))
(expm1.f64 (log1p.f64 (cos.f64 (fma.f64 1/2 eps (fma.f64 1/2 eps x)))))
(exp.f64 (log.f64 (cos.f64 (fma.f64 1/2 eps (fma.f64 1/2 eps x)))))
(exp.f64 (*.f64 (log.f64 (cos.f64 (fma.f64 1/2 eps (fma.f64 1/2 eps x)))) 1))
(log1p.f64 (expm1.f64 (cos.f64 (fma.f64 1/2 eps (fma.f64 1/2 eps x)))))
(fma.f64 (cos.f64 (fma.f64 1/2 eps x)) (cos.f64 (.f64 1/2 eps)) (neg.f64 (.f64 (sin.f64 (fma.f64 1/2 eps x)) (sin.f64 (*.f64 1/2 eps)))))
(+.f64 (cos.f64 x) (neg.f64 (cos.f64 (fma.f64 1/2 eps (fma.f64 1/2 eps x)))))
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(/.f64 (*.f64 (-.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 (fma.f64 1/2 eps (fma.f64 1/2 eps x))) 2)) 1) (+.f64 (cos.f64 (fma.f64 1/2 eps (fma.f64 1/2 eps x))) (cos.f64 x)))
(/.f64 (.f64 1 (-.f64 (pow.f64 (cos.f64 x) 2) (.f64 (neg.f64 (cos.f64 (fma.f64 1/2 eps (fma.f64 1/2 eps x)))) (neg.f64 (cos.f64 (fma.f64 1/2 eps (fma.f64 1/2 eps x))))))) (-.f64 (cos.f64 x) (neg.f64 (cos.f64 (fma.f64 1/2 eps (fma.f64 1/2 eps x))))))
(/.f64 (.f64 1 (+.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (neg.f64 (cos.f64 (fma.f64 1/2 eps (fma.f64 1/2 eps x)))) 3))) (+.f64 (pow.f64 (cos.f64 x) 2) (-.f64 (.f64 (neg.f64 (cos.f64 (fma.f64 1/2 eps (fma.f64 1/2 eps x)))) (neg.f64 (cos.f64 (fma.f64 1/2 eps (fma.f64 1/2 eps x))))) (*.f64 (cos.f64 x) (neg.f64 (cos.f64 (fma.f64 1/2 eps (fma.f64 1/2 eps x))))))))
(/.f64 (*.f64 1 (neg.f64 (-.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 (fma.f64 1/2 eps (fma.f64 1/2 eps x))) 2)))) (neg.f64 (+.f64 (cos.f64 (fma.f64 1/2 eps (fma.f64 1/2 eps x))) (cos.f64 x))))
(/.f64 (.f64 1 (neg.f64 (-.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (cos.f64 (fma.f64 1/2 eps (fma.f64 1/2 eps x))) 3)))) (neg.f64 (+.f64 (pow.f64 (cos.f64 x) 2) (.f64 (cos.f64 (fma.f64 1/2 eps (fma.f64 1/2 eps x))) (+.f64 (cos.f64 (fma.f64 1/2 eps (fma.f64 1/2 eps x))) (cos.f64 x))))))
(/.f64 (.f64 (sqrt.f64 (-.f64 (cos.f64 x) (cos.f64 (fma.f64 1/2 eps (fma.f64 1/2 eps x))))) (sqrt.f64 (-.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (cos.f64 (fma.f64 1/2 eps (fma.f64 1/2 eps x))) 3)))) (sqrt.f64 (+.f64 (pow.f64 (cos.f64 x) 2) (.f64 (cos.f64 (fma.f64 1/2 eps (fma.f64 1/2 eps x))) (+.f64 (cos.f64 (fma.f64 1/2 eps (fma.f64 1/2 eps x))) (cos.f64 x))))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (cos.f64 x) (cos.f64 (fma.f64 1/2 eps (fma.f64 1/2 eps x))))) (sqrt.f64 (-.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 (fma.f64 1/2 eps (fma.f64 1/2 eps x))) 2)))) (sqrt.f64 (+.f64 (cos.f64 (fma.f64 1/2 eps (fma.f64 1/2 eps x))) (cos.f64 x))))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (-.f64 (cos.f64 x) (cos.f64 (fma.f64 1/2 eps (fma.f64 1/2 eps x))))) 2) (cbrt.f64 (-.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (cos.f64 (fma.f64 1/2 eps (fma.f64 1/2 eps x))) 3)))) (cbrt.f64 (+.f64 (pow.f64 (cos.f64 x) 2) (.f64 (cos.f64 (fma.f64 1/2 eps (fma.f64 1/2 eps x))) (+.f64 (cos.f64 (fma.f64 1/2 eps (fma.f64 1/2 eps x))) (cos.f64 x))))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 (cos.f64 x) (cos.f64 (fma.f64 1/2 eps (fma.f64 1/2 eps x))))) 2) (cbrt.f64 (-.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 (fma.f64 1/2 eps (fma.f64 1/2 eps x))) 2)))) (cbrt.f64 (+.f64 (cos.f64 (fma.f64 1/2 eps (fma.f64 1/2 eps x))) (cos.f64 x))))
(/.f64 (.f64 -2 (-.f64 (cos.f64 (-.f64 (.f64 (-.f64 x (fma.f64 1/2 eps (fma.f64 1/2 eps x))) 1/2) (.f64 (+.f64 (fma.f64 1/2 eps x) (fma.f64 1/2 eps x)) 1/2))) (cos.f64 (+.f64 (.f64 (-.f64 x (fma.f64 1/2 eps (fma.f64 1/2 eps x))) 1/2) (*.f64 (+.f64 (fma.f64 1/2 eps x) (fma.f64 1/2 eps x)) 1/2))))) 2)
(pow.f64 (-.f64 (cos.f64 x) (cos.f64 (fma.f64 1/2 eps (fma.f64 1/2 eps x)))) 1)
(pow.f64 (sqrt.f64 (-.f64 (cos.f64 x) (cos.f64 (fma.f64 1/2 eps (fma.f64 1/2 eps x))))) 2)
(pow.f64 (cbrt.f64 (-.f64 (cos.f64 x) (cos.f64 (fma.f64 1/2 eps (fma.f64 1/2 eps x))))) 3)
(pow.f64 (pow.f64 (-.f64 (cos.f64 x) (cos.f64 (fma.f64 1/2 eps (fma.f64 1/2 eps x)))) 3) 1/3)
(sqrt.f64 (pow.f64 (-.f64 (cos.f64 x) (cos.f64 (fma.f64 1/2 eps (fma.f64 1/2 eps x)))) 2))
(log.f64 (exp.f64 (-.f64 (cos.f64 x) (cos.f64 (fma.f64 1/2 eps (fma.f64 1/2 eps x))))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (cos.f64 x) (cos.f64 (fma.f64 1/2 eps (fma.f64 1/2 eps x)))))))
(cbrt.f64 (pow.f64 (-.f64 (cos.f64 x) (cos.f64 (fma.f64 1/2 eps (fma.f64 1/2 eps x)))) 3))
(expm1.f64 (log1p.f64 (-.f64 (cos.f64 x) (cos.f64 (fma.f64 1/2 eps (fma.f64 1/2 eps x))))))
(exp.f64 (log.f64 (-.f64 (cos.f64 x) (cos.f64 (fma.f64 1/2 eps (fma.f64 1/2 eps x))))))
(exp.f64 (*.f64 (log.f64 (-.f64 (cos.f64 x) (cos.f64 (fma.f64 1/2 eps (fma.f64 1/2 eps x))))) 1))
(log1p.f64 (expm1.f64 (-.f64 (cos.f64 x) (cos.f64 (fma.f64 1/2 eps (fma.f64 1/2 eps x))))))
(fma.f64 1 (cos.f64 x) (neg.f64 (cos.f64 (fma.f64 1/2 eps (fma.f64 1/2 eps x)))))
(fma.f64 (sqrt.f64 (cos.f64 x)) (sqrt.f64 (cos.f64 x)) (neg.f64 (cos.f64 (fma.f64 1/2 eps (fma.f64 1/2 eps x)))))
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cbrt.f64 (cos.f64 x)) (neg.f64 (cos.f64 (fma.f64 1/2 eps (fma.f64 1/2 eps x)))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 1/2 eps x))) (-.f64 1 (*.f64 1/2 eps)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/2 eps))) (-.f64 1 (fma.f64 1/2 eps x)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 1/2 eps (fma.f64 1/2 eps x)))) 1)
(-.f64 (/.f64 (pow.f64 (fma.f64 1/2 eps x) 2) (.f64 1/2 (-.f64 eps (fma.f64 2 x eps)))) (/.f64 (.f64 (.f64 eps eps) 1/4) (.f64 1/2 (-.f64 eps (fma.f64 2 x eps)))))
(-.f64 (+.f64 (+.f64 (.f64 1/2 eps) (.f64 1/2 eps)) 0) x)
(-.f64 (+.f64 (fma.f64 1/2 eps x) (exp.f64 (log1p.f64 (*.f64 1/2 eps)))) 1)
(-.f64 (+.f64 (*.f64 1/2 eps) (exp.f64 (log1p.f64 (fma.f64 1/2 eps x)))) 1)
(-.f64 (+.f64 (+.f64 (.f64 1/2 eps) (.f64 1/2 eps)) (exp.f64 (log1p.f64 x))) 1)
(*.f64 1/2 (+.f64 eps (fma.f64 2 x eps)))
(*.f64 (fma.f64 1/2 eps (fma.f64 1/2 eps x)) 1)
(*.f64 1 (fma.f64 1/2 eps (fma.f64 1/2 eps x)))
(*.f64 (sqrt.f64 (fma.f64 1/2 eps (fma.f64 1/2 eps x))) (sqrt.f64 (fma.f64 1/2 eps (fma.f64 1/2 eps x))))
(*.f64 (cbrt.f64 (fma.f64 1/2 eps (fma.f64 1/2 eps x))) (pow.f64 (cbrt.f64 (fma.f64 1/2 eps (fma.f64 1/2 eps x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 eps (fma.f64 1/2 eps x))) 2) (cbrt.f64 (fma.f64 1/2 eps (fma.f64 1/2 eps x))))
(*.f64 (+.f64 eps (fma.f64 2 x eps)) 1/2)
(.f64 (-.f64 (pow.f64 (fma.f64 1/2 eps x) 2) (.f64 (.f64 eps eps) 1/4)) (/.f64 1 (.f64 1/2 (-.f64 eps (fma.f64 2 x eps)))))
(.f64 (+.f64 (pow.f64 (fma.f64 1/2 eps x) 3) (.f64 1/8 (pow.f64 eps 3))) (/.f64 1 (+.f64 (pow.f64 (fma.f64 1/2 eps x) 2) (.f64 (.f64 1/2 eps) (*.f64 1/2 (-.f64 eps (fma.f64 2 x eps)))))))
(/.f64 1 (/.f64 (.f64 1/2 (-.f64 eps (fma.f64 2 x eps))) (-.f64 (pow.f64 (fma.f64 1/2 eps x) 2) (.f64 (*.f64 eps eps) 1/4))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 1/2 eps x) 2) (.f64 (.f64 1/2 eps) (.f64 1/2 (-.f64 eps (fma.f64 2 x eps))))) (+.f64 (pow.f64 (fma.f64 1/2 eps x) 3) (.f64 1/8 (pow.f64 eps 3)))))
(/.f64 (-.f64 (pow.f64 (fma.f64 1/2 eps x) 2) (.f64 (.f64 eps eps) 1/4)) (*.f64 1/2 (-.f64 eps (fma.f64 2 x eps))))
(/.f64 (+.f64 (pow.f64 (fma.f64 1/2 eps x) 3) (.f64 1/8 (pow.f64 eps 3))) (+.f64 (pow.f64 (fma.f64 1/2 eps x) 2) (.f64 (.f64 1/2 eps) (.f64 1/2 (-.f64 eps (fma.f64 2 x eps))))))
(/.f64 (-.f64 (.f64 (.f64 eps eps) 1/4) (pow.f64 (fma.f64 1/2 eps x) 2)) (*.f64 1/2 (-.f64 eps (fma.f64 2 x eps))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 1/2 eps x) 2) (.f64 (.f64 eps eps) 1/4))) (neg.f64 (*.f64 1/2 (-.f64 eps (fma.f64 2 x eps)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 1/2 eps x) 3) (.f64 1/8 (pow.f64 eps 3)))) (neg.f64 (+.f64 (pow.f64 (fma.f64 1/2 eps x) 2) (.f64 (.f64 1/2 eps) (.f64 1/2 (-.f64 eps (fma.f64 2 x eps)))))))
(/.f64 (.f64 (-.f64 (pow.f64 (fma.f64 1/2 eps x) 2) (.f64 (.f64 eps eps) 1/4)) 1) (.f64 1/2 (-.f64 eps (fma.f64 2 x eps))))
(/.f64 (.f64 1/2 (-.f64 (pow.f64 (fma.f64 2 x eps) 2) (.f64 eps eps))) (-.f64 eps (fma.f64 2 x eps)))
(/.f64 (.f64 1/2 (+.f64 (pow.f64 (fma.f64 2 x eps) 3) (pow.f64 eps 3))) (+.f64 (pow.f64 (fma.f64 2 x eps) 2) (-.f64 (.f64 eps eps) (*.f64 (fma.f64 2 x eps) eps))))
(/.f64 (.f64 1 (-.f64 (.f64 (.f64 eps eps) 1/4) (pow.f64 (fma.f64 1/2 eps x) 2))) (.f64 1/2 (-.f64 eps (fma.f64 2 x eps))))
(/.f64 (.f64 1 (neg.f64 (-.f64 (pow.f64 (fma.f64 1/2 eps x) 2) (.f64 (.f64 eps eps) 1/4)))) (neg.f64 (.f64 1/2 (-.f64 eps (fma.f64 2 x eps)))))
(/.f64 (.f64 1 (neg.f64 (+.f64 (pow.f64 (fma.f64 1/2 eps x) 3) (.f64 1/8 (pow.f64 eps 3))))) (neg.f64 (+.f64 (pow.f64 (fma.f64 1/2 eps x) 2) (.f64 (.f64 1/2 eps) (*.f64 1/2 (-.f64 eps (fma.f64 2 x eps)))))))
(/.f64 (.f64 (sqrt.f64 (fma.f64 1/2 eps (fma.f64 1/2 eps x))) (sqrt.f64 (-.f64 (pow.f64 (fma.f64 1/2 eps x) 2) (.f64 (.f64 eps eps) 1/4)))) (sqrt.f64 (.f64 1/2 (-.f64 eps (fma.f64 2 x eps)))))
(/.f64 (.f64 (sqrt.f64 (fma.f64 1/2 eps (fma.f64 1/2 eps x))) (sqrt.f64 (+.f64 (pow.f64 (fma.f64 1/2 eps x) 3) (.f64 1/8 (pow.f64 eps 3))))) (sqrt.f64 (+.f64 (pow.f64 (fma.f64 1/2 eps x) 2) (.f64 (.f64 1/2 eps) (*.f64 1/2 (-.f64 eps (fma.f64 2 x eps)))))))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 eps (fma.f64 1/2 eps x))) 2) (cbrt.f64 (-.f64 (pow.f64 (fma.f64 1/2 eps x) 2) (.f64 (.f64 eps eps) 1/4)))) (cbrt.f64 (.f64 1/2 (-.f64 eps (fma.f64 2 x eps)))))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 eps (fma.f64 1/2 eps x))) 2) (cbrt.f64 (+.f64 (pow.f64 (fma.f64 1/2 eps x) 3) (.f64 1/8 (pow.f64 eps 3))))) (cbrt.f64 (+.f64 (pow.f64 (fma.f64 1/2 eps x) 2) (.f64 (.f64 1/2 eps) (*.f64 1/2 (-.f64 eps (fma.f64 2 x eps)))))))
(/.f64 (.f64 (+.f64 (pow.f64 (fma.f64 1/2 eps x) 3) (.f64 1/8 (pow.f64 eps 3))) 1) (+.f64 (pow.f64 (fma.f64 1/2 eps x) 2) (.f64 (.f64 1/2 eps) (*.f64 1/2 (-.f64 eps (fma.f64 2 x eps))))))
(pow.f64 (fma.f64 1/2 eps (fma.f64 1/2 eps x)) 1)
(pow.f64 (sqrt.f64 (fma.f64 1/2 eps (fma.f64 1/2 eps x))) 2)
(pow.f64 (cbrt.f64 (fma.f64 1/2 eps (fma.f64 1/2 eps x))) 3)
(pow.f64 (pow.f64 (fma.f64 1/2 eps (fma.f64 1/2 eps x)) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 1/2 eps (fma.f64 1/2 eps x)) 2))
(log.f64 (exp.f64 (fma.f64 1/2 eps (fma.f64 1/2 eps x))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/2 eps (fma.f64 1/2 eps x)))))
(cbrt.f64 (pow.f64 (fma.f64 1/2 eps (fma.f64 1/2 eps x)) 3))
(expm1.f64 (log1p.f64 (fma.f64 1/2 eps (fma.f64 1/2 eps x))))
(exp.f64 (log.f64 (fma.f64 1/2 eps (fma.f64 1/2 eps x))))
(exp.f64 (*.f64 (log.f64 (fma.f64 1/2 eps (fma.f64 1/2 eps x))) 1))
(log1p.f64 (expm1.f64 (fma.f64 1/2 eps (fma.f64 1/2 eps x))))
(fma.f64 1/2 eps (fma.f64 1/2 eps x))
(fma.f64 1/2 (fma.f64 2 x eps) (*.f64 1/2 eps))
(fma.f64 eps 1/2 (fma.f64 1/2 eps x))
(fma.f64 (fma.f64 2 x eps) 1/2 (*.f64 1/2 eps))
(fma.f64 1 (fma.f64 1/2 eps x) (*.f64 1/2 eps))
(fma.f64 1 (*.f64 1/2 eps) (fma.f64 1/2 eps x))
(fma.f64 (sqrt.f64 (.f64 1/2 eps)) (sqrt.f64 (.f64 1/2 eps)) (fma.f64 1/2 eps x))
(fma.f64 (sqrt.f64 (fma.f64 1/2 eps x)) (sqrt.f64 (fma.f64 1/2 eps x)) (*.f64 1/2 eps))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 1/2 eps)) 2) (cbrt.f64 (.f64 1/2 eps)) (fma.f64 1/2 eps x))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 eps x)) 2) (cbrt.f64 (fma.f64 1/2 eps x)) (*.f64 1/2 eps))

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

localize18.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.42%	(+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))
✓	0.78%	(cbrt.f64 (pow.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))) 3))
✓	0.9%	(pow.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))) 3)
	5.96%	(cos.f64 (+.f64 x eps))

Compiler

Compiled 40 to 12 computations (70% saved)

series7.0ms (0%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
1.0ms	eps	@	0	(pow.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))) 3)
1.0ms	x	@	0	(pow.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))) 3)
1.0ms	eps	@	inf	(pow.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))) 3)
1.0ms	x	@	-inf	(pow.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))) 3)
1.0ms	x	@	inf	(pow.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))) 3)

rewrite145.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1326×	`associate-*r/`
994×	`associate-*l/`
958×	`distribute-lft-in`
296×	`associate-+l+`
284×	`associate-/r*`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	69
1	275	69
2	3604	69

Stop Event

1×	node limit

Counts

3 → 338

Calls

Call 1

Inputs
(pow.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))) 3)
(cbrt.f64 (pow.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))) 3))
(+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))) 2) (cos.f64 x)) (*.f64 (pow.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))) 2) (cos.f64 (+.f64 x eps))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))) 2) (cos.f64 (+.f64 x eps))) (*.f64 (pow.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))) 2) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 x) (pow.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))) 2)) (*.f64 (cos.f64 (+.f64 x eps)) (pow.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 (+.f64 x eps)) (pow.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))) 2)) (*.f64 (cos.f64 x) (pow.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))) (*.f64 (cos.f64 x) (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))))) (*.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))) (*.f64 (cos.f64 (+.f64 x eps)) (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))) (*.f64 (cos.f64 (+.f64 x eps)) (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))))) (*.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))) (*.f64 (cos.f64 x) (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1 (*.f64 (pow.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))) 2) (cos.f64 x))) (*.f64 1 (*.f64 (pow.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))) 2) (cos.f64 (+.f64 x eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1 (*.f64 (pow.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))) 2) (cos.f64 (+.f64 x eps)))) (*.f64 1 (*.f64 (pow.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))) 2) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1 (*.f64 (cos.f64 x) (pow.f64 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simplify256.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1404×	`associate-r`
1320×	`associate-l`
1216×	`associate-/l*`
758×	`*-commutative`
730×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	696	31186
1	2096	31110

Stop Event

1×	node limit

Counts

410 → 405

Calls

Call 1

Inputs
(*.f64 (pow.f64 (+.f64 1 (cos.f64 eps)) 2) (+.f64 (cos.f64 eps) 1))
(+.f64 (.f64 (pow.f64 (+.f64 1 (cos.f64 eps)) 2) (+.f64 (cos.f64 eps) 1)) (.f64 (+.f64 (.f64 -2 (.f64 (+.f64 1 (cos.f64 eps)) (.f64 (+.f64 (cos.f64 eps) 1) (sin.f64 eps)))) (.f64 -1 (*.f64 (pow.f64 (+.f64 1 (cos.f64 eps)) 2) (sin.f64 eps)))) x))
(+.f64 (.f64 (+.f64 (.f64 (-.f64 (.f64 -1/2 (cos.f64 eps)) 1/2) (pow.f64 (+.f64 1 (cos.f64 eps)) 2)) (+.f64 (.f64 (+.f64 (pow.f64 (sin.f64 eps) 2) (.f64 2 (.f64 (-.f64 (.f64 -1/2 (cos.f64 eps)) 1/2) (+.f64 1 (cos.f64 eps))))) (+.f64 (cos.f64 eps) 1)) (.f64 2 (.f64 (+.f64 1 (cos.f64 eps)) (pow.f64 (sin.f64 eps) 2))))) (pow.f64 x 2)) (+.f64 (.f64 (pow.f64 (+.f64 1 (cos.f64 eps)) 2) (+.f64 (cos.f64 eps) 1)) (.f64 (+.f64 (.f64 -2 (.f64 (+.f64 1 (cos.f64 eps)) (.f64 (+.f64 (cos.f64 eps) 1) (sin.f64 eps)))) (.f64 -1 (.f64 (pow.f64 (+.f64 1 (cos.f64 eps)) 2) (sin.f64 eps)))) x)))
(+.f64 (.f64 (+.f64 (.f64 (-.f64 (.f64 -1/2 (cos.f64 eps)) 1/2) (pow.f64 (+.f64 1 (cos.f64 eps)) 2)) (+.f64 (.f64 (+.f64 (pow.f64 (sin.f64 eps) 2) (.f64 2 (.f64 (-.f64 (.f64 -1/2 (cos.f64 eps)) 1/2) (+.f64 1 (cos.f64 eps))))) (+.f64 (cos.f64 eps) 1)) (.f64 2 (.f64 (+.f64 1 (cos.f64 eps)) (pow.f64 (sin.f64 eps) 2))))) (pow.f64 x 2)) (+.f64 (.f64 (pow.f64 (+.f64 1 (cos.f64 eps)) 2) (+.f64 (cos.f64 eps) 1)) (+.f64 (.f64 (+.f64 (.f64 -2 (.f64 (+.f64 1 (cos.f64 eps)) (.f64 (+.f64 (cos.f64 eps) 1) (sin.f64 eps)))) (.f64 -1 (.f64 (pow.f64 (+.f64 1 (cos.f64 eps)) 2) (sin.f64 eps)))) x) (.f64 (+.f64 (.f64 (+.f64 (.f64 -2 (.f64 (-.f64 (.f64 -1/2 (cos.f64 eps)) 1/2) (sin.f64 eps))) (.f64 1/3 (.f64 (+.f64 1 (cos.f64 eps)) (sin.f64 eps)))) (+.f64 (cos.f64 eps) 1)) (+.f64 (.f64 1/6 (.f64 (pow.f64 (+.f64 1 (cos.f64 eps)) 2) (sin.f64 eps))) (+.f64 (.f64 -2 (.f64 (-.f64 (.f64 -1/2 (cos.f64 eps)) 1/2) (.f64 (+.f64 1 (cos.f64 eps)) (sin.f64 eps)))) (.f64 -1 (.f64 (+.f64 (pow.f64 (sin.f64 eps) 2) (.f64 2 (.f64 (-.f64 (.f64 -1/2 (cos.f64 eps)) 1/2) (+.f64 1 (cos.f64 eps))))) (sin.f64 eps)))))) (pow.f64 x 3)))))
(pow.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))) 3)
(pow.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))) 3)
(pow.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))) 3)
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(log.f64 (+.f64 1 (expm1.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))))))
(cbrt.f64 (pow.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))) 3))
(expm1.f64 (log1p.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))))
(exp.f64 (log.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))))
(exp.f64 (*.f64 (log.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))) 1))
(exp.f64 (.f64 (.f64 3 (log.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))))) 1/3))
(log1p.f64 (expm1.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))))
(fma.f64 1 (cos.f64 x) (cos.f64 (+.f64 x eps)))
(fma.f64 1 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(fma.f64 (sqrt.f64 (cos.f64 (+.f64 x eps))) (sqrt.f64 (cos.f64 (+.f64 x eps))) (cos.f64 x))
(fma.f64 (sqrt.f64 (cos.f64 x)) (sqrt.f64 (cos.f64 x)) (cos.f64 (+.f64 x eps)))
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) 2) (cbrt.f64 (cos.f64 (+.f64 x eps))) (cos.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cbrt.f64 (cos.f64 x)) (cos.f64 (+.f64 x eps)))

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

localize18.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.14%	(fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x))
✓	3.23%	(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x))))

Compiler

Compiled 40 to 9 computations (77.5% saved)

series1.0ms (0%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x))))
0.0ms	x	@	0	(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x))))
0.0ms	eps	@	0	(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x))))
0.0ms	x	@	-inf	(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x))))
0.0ms	eps	@	inf	(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x))))

rewrite79.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

980×	`*-commutative`
718×	`unswap-sqr`
550×	`swap-sqr`
410×	`sqr-pow`
406×	`pow-sqr`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	41
1	238	37
2	2920	37

Stop Event

1×	node limit

Counts

1 → 66

Calls

Call 1

Inputs
(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 x) (+.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 x) (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 (cos.f64 x) (cos.f64 eps) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (+.f64 (cos.f64 x) (*.f64 (cos.f64 x) (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (log1p.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))) (+.f64 (neg.f64 (cos.f64 x)) (*.f64 (cos.f64 x) (cos.f64 eps))))))) 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simplify80.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1656×	`associate-/l*`
1354×	`associate-/r*`
938×	`unswap-sqr`
862×	`associate-*r/`
644×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	204	5450
1	518	5166
2	2081	5152

Stop Event

1×	node limit

Counts

90 → 123

Calls

Call 1

Inputs
(-.f64 (cos.f64 eps) 1)
(-.f64 (+.f64 (cos.f64 eps) (.f64 -1 (.f64 x (sin.f64 eps)))) 1)
(-.f64 (+.f64 (cos.f64 eps) (+.f64 (.f64 -1 (.f64 x (sin.f64 eps))) (.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2)))) 1)
(-.f64 (+.f64 (cos.f64 eps) (+.f64 (.f64 1/6 (.f64 (pow.f64 x 3) (sin.f64 eps))) (+.f64 (.f64 -1 (.f64 x (sin.f64 eps))) (.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2))))) 1)
(-.f64 (.f64 (cos.f64 eps) (cos.f64 x)) (+.f64 (cos.f64 x) (.f64 (sin.f64 x) (sin.f64 eps))))
(-.f64 (.f64 (cos.f64 eps) (cos.f64 x)) (+.f64 (cos.f64 x) (.f64 (sin.f64 x) (sin.f64 eps))))
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(expm1.f64 (log1p.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))))
(exp.f64 (log.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))))
(log1p.f64 (expm1.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))))

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

eval869.0ms (5.3%)

Compiler: Compiled 45942 to 20170 computations (56.1% saved)

prune727.0ms (4.4%)

Pruning

63 alts after pruning (59 fresh and 4 done)

	Pruned	Kept	Total
New	1436	26	1462
Fresh	22	33	55
Picked	1	0	1
Done	3	4	7
Total	1462	63	1525

Error

0.07%

Counts

1525 → 63

Alt Table

Click to see full alt table

Status	Error	Program
	40.28%	(fma.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 eps) (cos.f64 x))) 2) (cbrt.f64 (.f64 (cos.f64 eps) (cos.f64 x))) (neg.f64 (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x))))
	64.29%	(fma.f64 (sqrt.f64 (.f64 (cos.f64 eps) (cos.f64 x))) (sqrt.f64 (.f64 (cos.f64 eps) (cos.f64 x))) (neg.f64 (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x))))
	39.11%	(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (+.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (cos.f64 x))))
	82.42%	(fma.f64 1/24 (pow.f64 eps 4) (.f64 -1/2 (.f64 eps eps)))
	96.25%	(pow.f64 (cbrt.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))) 3)
	63.76%	(pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 3)
	39.3%	(/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 x) (cos.f64 eps)) 3) (pow.f64 (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)) 3)) (+.f64 (pow.f64 (.f64 (cos.f64 x) (cos.f64 eps)) 2) (.f64 (neg.f64 (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x))) (-.f64 (neg.f64 (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x))) (.f64 (cos.f64 x) (cos.f64 eps))))))
	81.43%	(/.f64 (.f64 (-.f64 (cos.f64 (-.f64 (.f64 (/.f64 1 (/.f64 (+.f64 x (-.f64 x eps)) (-.f64 (.f64 x x) (pow.f64 (-.f64 eps x) 2)))) 1/2) (.f64 (+.f64 eps (+.f64 x x)) 1/2))) (cos.f64 (+.f64 (.f64 (+.f64 x (-.f64 eps x)) 1/2) (.f64 (+.f64 eps (+.f64 x x)) 1/2)))) -2) 2)
	87.4%	(/.f64 (.f64 (-.f64 (cos.f64 (-.f64 (.f64 (+.f64 x (-.f64 eps x)) 1/2) (*.f64 (+.f64 eps (+.f64 x x)) 1/2))) (cos.f64 x)) -2) 2)
	63.83%	(/.f64 (.f64 (-.f64 (cos.f64 (-.f64 (.f64 1/2 eps) (.f64 1/2 (-.f64 eps (.f64 -2 x))))) (cos.f64 (+.f64 (.f64 1/2 (-.f64 eps (.f64 -2 x))) (*.f64 1/2 eps)))) -2) 2)
▶	63.95%	(/.f64 (.f64 (-.f64 (cos.f64 (+.f64 (+.f64 (.f64 (fma.f64 2 x eps) -1/2) (.f64 (-.f64 eps x) 1/2)) (.f64 x 1/2))) (cos.f64 (+.f64 (.f64 (+.f64 x (-.f64 eps x)) 1/2) (.f64 (+.f64 eps (+.f64 x x)) 1/2)))) -2) 2)
▶	63.52%	(/.f64 (.f64 (-.f64 (cos.f64 x) (cos.f64 (.f64 1/2 (+.f64 (+.f64 eps (*.f64 x 2)) eps)))) -2) 2)
	49.46%	(/.f64 (.f64 (+.f64 (.f64 eps (sin.f64 x)) (+.f64 (+.f64 (.f64 (cos.f64 x) (.f64 1/2 (.f64 eps eps))) (.f64 (sin.f64 x) (*.f64 -1/6 (pow.f64 eps 3)))) 0)) -2) 2)
▶	88.38%	(/.f64 (*.f64 0 -2) 2)
	56.79%	(/.f64 (sin.f64 eps) (/.f64 (-.f64 -1 (cos.f64 eps)) (sin.f64 eps)))
	63.61%	(/.f64 1 (/.f64 (+.f64 (cos.f64 eps) 1) (+.f64 (pow.f64 (cos.f64 eps) 2) -1)))
	63.65%	(/.f64 1 (/.f64 1 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
	96.25%	(/.f64 1 (/.f64 1 (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))))
▶	39.11%	(-.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps)))) (cos.f64 x))
	8.5%	(-.f64 (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (cos.f64 x)) (.f64 (sin.f64 eps) (sin.f64 x)))
	58.99%	(-.f64 (+.f64 (cos.f64 eps) -1) (*.f64 x (sin.f64 eps)))
	8.45%	(-.f64 (.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)) (.f64 (sin.f64 eps) (sin.f64 x)))
	49.13%	(-.f64 (.f64 (.f64 eps eps) (.f64 -1/2 (cos.f64 x))) (.f64 eps (sin.f64 x)))
	39.14%	(-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (.f64 (sin.f64 x) (sin.f64 eps))))
✓	39.13%	(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))
	39.55%	(-.f64 (.f64 (cos.f64 eps) (cos.f64 x)) (-.f64 (exp.f64 (log1p.f64 (cos.f64 x))) (-.f64 1 (.f64 (sin.f64 eps) (sin.f64 x)))))
	63.8%	(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) 1)
	39.61%	(-.f64 (log.f64 (exp.f64 (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (.f64 (sin.f64 x) (sin.f64 eps))))) (cos.f64 x))
	63.17%	(-.f64 (log.f64 (exp.f64 (cos.f64 eps))) (cos.f64 x))
	54.4%	(-.f64 (exp.f64 (log1p.f64 (.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)))) (+.f64 (.f64 (sin.f64 eps) (sin.f64 x)) 1))
✓	63.59%	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
	88.35%	(-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))
	63.04%	(-.f64 (cos.f64 eps) (cos.f64 x))
✓	63.38%	(-.f64 (cos.f64 eps) 1)
	9.16%	(+.f64 (pow.f64 (cbrt.f64 (.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x))) 3) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
▶	1.13%	(+.f64 (/.f64 (/.f64 (.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)) (cos.f64 x)) (sqrt.f64 (+.f64 (cos.f64 eps) 1))) (sqrt.f64 (+.f64 (cos.f64 eps) 1))) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	8.52%	(+.f64 (/.f64 (cos.f64 x) (/.f64 1 (+.f64 (cos.f64 eps) -1))) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	30.98%	(+.f64 (-.f64 (cos.f64 eps) 1) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	1.62%	(+.f64 (.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)) (cbrt.f64 (+.f64 (cos.f64 eps) 1))) (/.f64 (cos.f64 x) (.f64 (cbrt.f64 (+.f64 (cos.f64 eps) 1)) (cbrt.f64 (+.f64 (cos.f64 eps) 1))))) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	48.93%	(+.f64 (.f64 (.f64 -1/2 (cos.f64 x)) (.f64 eps eps)) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	49.81%	(+.f64 (.f64 (cos.f64 x) (fma.f64 1/24 (pow.f64 eps 4) (.f64 -1/2 (.f64 eps eps)))) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	8.67%	(+.f64 (.f64 (cos.f64 x) (-.f64 (+.f64 (cos.f64 eps) 1) 2)) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	27.93%	(+.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (/.f64 (.f64 (sin.f64 eps) (neg.f64 (pow.f64 (sin.f64 x) 3))) (+.f64 0 (pow.f64 (sin.f64 x) 2))))
	8.53%	(+.f64 (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (/.f64 (sin.f64 eps) (/.f64 (sin.f64 x) (neg.f64 (pow.f64 (sin.f64 x) 2)))))
	8.55%	(+.f64 (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (/.f64 (sin.f64 x) (sin.f64 eps))))
	60.19%	(+.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (+.f64 (.f64 1/6 (.f64 (pow.f64 x 3) (sin.f64 eps))) (.f64 -1 (*.f64 x (sin.f64 eps)))))
	8.63%	(+.f64 (.f64 (cos.f64 x) (cbrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 3))) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	8.59%	(+.f64 (log1p.f64 (expm1.f64 (.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)))) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	8.78%	(+.f64 (log.f64 (+.f64 1 (expm1.f64 (.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x))))) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	96.25%	(+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
	95.31%	(+.f64 1 (cos.f64 eps))
	77.74%	(*.f64 (+.f64 (sqrt.f64 (cos.f64 eps)) 1) (-.f64 (sqrt.f64 (cos.f64 eps)) 1))
	56.67%	(*.f64 (sin.f64 x) (neg.f64 eps))
	95.6%	(.f64 (cos.f64 (/.f64 (+.f64 eps (-.f64 x x)) 2)) (.f64 2 (cos.f64 (*.f64 1/2 (+.f64 eps (+.f64 x x))))))
	96.73%	(*.f64 2 (cos.f64 x))
✓	82.07%	(.f64 -1/2 (.f64 eps eps))
	23.96%	(.f64 -2 (.f64 (sin.f64 (/.f64 (+.f64 eps (-.f64 x x)) 2)) (sin.f64 (/.f64 (+.f64 eps (+.f64 x x)) 2))))
	86.53%	(sqrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2))
	90.19%	(neg.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))))
	63.49%	(log1p.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1)))
	63.46%	(log.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)))
	96.24%	(cbrt.f64 (pow.f64 (+.f64 (cos.f64 x) (cos.f64 eps)) 3))
	96.73%	(cbrt.f64 (*.f64 8 (pow.f64 (cos.f64 x) 3)))

Compiler

Compiled 2119 to 1497 computations (29.4% saved)

localize48.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.36%	(pow.f64 (sin.f64 eps) 2)
✓	0.43%	(/.f64 (/.f64 (*.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)) (cos.f64 x)) (sqrt.f64 (+.f64 (cos.f64 eps) 1))) (sqrt.f64 (+.f64 (cos.f64 eps) 1)))
✓	0.45%	(/.f64 (*.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)) (cos.f64 x)) (sqrt.f64 (+.f64 (cos.f64 eps) 1)))
✓	0.52%	(+.f64 (cos.f64 eps) 1)

Compiler

Compiled 110 to 57 computations (48.2% saved)

series18.0ms (0.1%)

Counts

4 → 64

Calls

18 calls:

Time	Variable		Point	Expression
5.0ms	x	@	inf	(/.f64 (*.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)) (cos.f64 x)) (sqrt.f64 (+.f64 (cos.f64 eps) 1)))
2.0ms	x	@	0	(/.f64 (*.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)) (cos.f64 x)) (sqrt.f64 (+.f64 (cos.f64 eps) 1)))
2.0ms	eps	@	inf	(/.f64 (*.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)) (cos.f64 x)) (sqrt.f64 (+.f64 (cos.f64 eps) 1)))
2.0ms	eps	@	0	(/.f64 (*.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)) (cos.f64 x)) (sqrt.f64 (+.f64 (cos.f64 eps) 1)))
1.0ms	eps	@	-inf	(/.f64 (*.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)) (cos.f64 x)) (sqrt.f64 (+.f64 (cos.f64 eps) 1)))

rewrite164.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1212×	`associate-/l/`
1134×	`associate-/r/`
522×	`distribute-lft-in`
358×	`add-sqr-sqrt`
346×	`*-un-lft-identity`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	17	108
1	357	90
2	4846	84

Stop Event

1×	node limit

Counts

4 → 300

Calls

Call 1

Inputs
(+.f64 (cos.f64 eps) 1)
(/.f64 (*.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)) (cos.f64 x)) (sqrt.f64 (+.f64 (cos.f64 eps) 1)))
(/.f64 (/.f64 (*.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)) (cos.f64 x)) (sqrt.f64 (+.f64 (cos.f64 eps) 1))) (sqrt.f64 (+.f64 (cos.f64 eps) 1)))
(pow.f64 (sin.f64 eps) 2)

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

simplify166.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1312×	`associate-r`
1264×	`associate-/l*`
1230×	`associate-l`
1092×	`*-commutative`
814×	`associate-/r*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	792	19002
1	2454	17806

Stop Event

1×	node limit

Counts

364 → 560

Calls

Call 1

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

Outputs
2
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) 2)
(fma.f64 -1/2 (*.f64 eps eps) 2)
(+.f64 (.f64 1/24 (pow.f64 eps 4)) (+.f64 (.f64 -1/2 (pow.f64 eps 2)) 2))
(fma.f64 1/24 (pow.f64 eps 4) (fma.f64 -1/2 (*.f64 eps eps) 2))
(+.f64 (.f64 1/24 (pow.f64 eps 4)) (+.f64 (.f64 -1/2 (pow.f64 eps 2)) (+.f64 2 (*.f64 -1/720 (pow.f64 eps 6)))))
(fma.f64 1/24 (pow.f64 eps 4) (fma.f64 -1/2 (.f64 eps eps) (+.f64 2 (.f64 -1/720 (pow.f64 eps 6)))))
(+.f64 (fma.f64 1/24 (pow.f64 eps 4) (fma.f64 -1/2 (.f64 eps eps) 2)) (.f64 -1/720 (pow.f64 eps 6)))
(+.f64 1 (cos.f64 eps))
(+.f64 1 (cos.f64 eps))
(+.f64 1 (cos.f64 eps))
(+.f64 1 (cos.f64 eps))
(+.f64 1 (cos.f64 eps))
(+.f64 1 (cos.f64 eps))
(+.f64 1 (cos.f64 eps))
(+.f64 1 (cos.f64 eps))
(.f64 -1 (.f64 (pow.f64 eps 2) (*.f64 (sqrt.f64 1/2) (cos.f64 x))))
(neg.f64 (.f64 (.f64 eps eps) (*.f64 (sqrt.f64 1/2) (cos.f64 x))))
(.f64 (.f64 eps (*.f64 eps (sqrt.f64 1/2))) (neg.f64 (cos.f64 x)))
(+.f64 (.f64 -1 (.f64 (pow.f64 eps 4) (+.f64 (.f64 -1/3 (.f64 (sqrt.f64 1/2) (cos.f64 x))) (.f64 1/16 (/.f64 (cos.f64 x) (sqrt.f64 1/2)))))) (.f64 -1 (.f64 (pow.f64 eps 2) (.f64 (sqrt.f64 1/2) (cos.f64 x)))))
(.f64 -1 (+.f64 (.f64 (pow.f64 eps 4) (fma.f64 -1/3 (.f64 (sqrt.f64 1/2) (cos.f64 x)) (/.f64 (.f64 1/16 (cos.f64 x)) (sqrt.f64 1/2)))) (.f64 (.f64 eps eps) (*.f64 (sqrt.f64 1/2) (cos.f64 x)))))
(fma.f64 -1 (.f64 (pow.f64 eps 4) (fma.f64 -1/3 (.f64 (sqrt.f64 1/2) (cos.f64 x)) (/.f64 (.f64 (cos.f64 x) 1/16) (sqrt.f64 1/2)))) (.f64 (.f64 eps (.f64 eps (sqrt.f64 1/2))) (neg.f64 (cos.f64 x))))
(+.f64 (.f64 -1 (.f64 (pow.f64 eps 4) (+.f64 (.f64 -1/3 (.f64 (sqrt.f64 1/2) (cos.f64 x))) (.f64 1/16 (/.f64 (cos.f64 x) (sqrt.f64 1/2)))))) (+.f64 (.f64 -1 (.f64 (pow.f64 eps 6) (+.f64 (.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 1/48 (pow.f64 (/.f64 1/16 (sqrt.f64 1/2)) 2))) (sqrt.f64 1/2))) (+.f64 (.f64 -1/48 (/.f64 (cos.f64 x) (sqrt.f64 1/2))) (.f64 2/45 (.f64 (sqrt.f64 1/2) (cos.f64 x))))))) (.f64 -1 (.f64 (pow.f64 eps 2) (*.f64 (sqrt.f64 1/2) (cos.f64 x))))))
(fma.f64 -1 (.f64 (pow.f64 eps 4) (fma.f64 -1/3 (.f64 (sqrt.f64 1/2) (cos.f64 x)) (/.f64 (.f64 1/16 (cos.f64 x)) (sqrt.f64 1/2)))) (.f64 -1 (+.f64 (.f64 (pow.f64 eps 6) (fma.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 1/48 (pow.f64 (/.f64 1/16 (sqrt.f64 1/2)) 2))) (sqrt.f64 1/2)) (fma.f64 -1/48 (/.f64 (cos.f64 x) (sqrt.f64 1/2)) (.f64 (.f64 (sqrt.f64 1/2) (cos.f64 x)) 2/45)))) (.f64 (.f64 eps eps) (*.f64 (sqrt.f64 1/2) (cos.f64 x))))))
(fma.f64 -1 (.f64 (pow.f64 eps 4) (fma.f64 -1/3 (.f64 (sqrt.f64 1/2) (cos.f64 x)) (/.f64 (.f64 (cos.f64 x) 1/16) (sqrt.f64 1/2)))) (fma.f64 -1 (.f64 (pow.f64 eps 6) (fma.f64 1/2 (.f64 (/.f64 (cos.f64 x) (sqrt.f64 1/2)) (-.f64 1/48 (pow.f64 (/.f64 1/16 (sqrt.f64 1/2)) 2))) (fma.f64 -1/48 (/.f64 (cos.f64 x) (sqrt.f64 1/2)) (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 x) 2/45))))) (.f64 (.f64 eps (.f64 eps (sqrt.f64 1/2))) (neg.f64 (cos.f64 x)))))
(+.f64 (.f64 -1 (.f64 (pow.f64 eps 4) (+.f64 (.f64 -1/3 (.f64 (sqrt.f64 1/2) (cos.f64 x))) (.f64 1/16 (/.f64 (cos.f64 x) (sqrt.f64 1/2)))))) (+.f64 (.f64 -1 (.f64 (pow.f64 eps 8) (+.f64 (.f64 -1/315 (.f64 (sqrt.f64 1/2) (cos.f64 x))) (+.f64 (.f64 1/360 (/.f64 (cos.f64 x) (sqrt.f64 1/2))) (+.f64 (.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 17/5760 (.f64 1/16 (/.f64 (-.f64 1/48 (pow.f64 (/.f64 1/16 (sqrt.f64 1/2)) 2)) (pow.f64 (sqrt.f64 1/2) 2))))) (sqrt.f64 1/2))) (.f64 -1/6 (/.f64 (.f64 (cos.f64 x) (-.f64 1/48 (pow.f64 (/.f64 1/16 (sqrt.f64 1/2)) 2))) (sqrt.f64 1/2)))))))) (+.f64 (.f64 -1 (.f64 (pow.f64 eps 6) (+.f64 (.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 1/48 (pow.f64 (/.f64 1/16 (sqrt.f64 1/2)) 2))) (sqrt.f64 1/2))) (+.f64 (.f64 -1/48 (/.f64 (cos.f64 x) (sqrt.f64 1/2))) (.f64 2/45 (.f64 (sqrt.f64 1/2) (cos.f64 x))))))) (.f64 -1 (.f64 (pow.f64 eps 2) (*.f64 (sqrt.f64 1/2) (cos.f64 x)))))))
(fma.f64 -1 (.f64 (pow.f64 eps 4) (fma.f64 -1/3 (.f64 (sqrt.f64 1/2) (cos.f64 x)) (/.f64 (.f64 1/16 (cos.f64 x)) (sqrt.f64 1/2)))) (fma.f64 -1 (.f64 (pow.f64 eps 8) (fma.f64 -1/315 (.f64 (sqrt.f64 1/2) (cos.f64 x)) (fma.f64 1/360 (/.f64 (cos.f64 x) (sqrt.f64 1/2)) (fma.f64 1/2 (/.f64 (cos.f64 x) (/.f64 (sqrt.f64 1/2) (+.f64 17/5760 (.f64 -1/16 (/.f64 (-.f64 1/48 (pow.f64 (/.f64 1/16 (sqrt.f64 1/2)) 2)) (pow.f64 (sqrt.f64 1/2) 2)))))) (.f64 (/.f64 (.f64 (cos.f64 x) (-.f64 1/48 (pow.f64 (/.f64 1/16 (sqrt.f64 1/2)) 2))) (sqrt.f64 1/2)) -1/6))))) (.f64 -1 (+.f64 (.f64 (pow.f64 eps 6) (fma.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 1/48 (pow.f64 (/.f64 1/16 (sqrt.f64 1/2)) 2))) (sqrt.f64 1/2)) (fma.f64 -1/48 (/.f64 (cos.f64 x) (sqrt.f64 1/2)) (.f64 (.f64 (sqrt.f64 1/2) (cos.f64 x)) 2/45)))) (.f64 (.f64 eps eps) (.f64 (sqrt.f64 1/2) (cos.f64 x)))))))
(fma.f64 -1 (.f64 (pow.f64 eps 4) (fma.f64 -1/3 (.f64 (sqrt.f64 1/2) (cos.f64 x)) (/.f64 (.f64 (cos.f64 x) 1/16) (sqrt.f64 1/2)))) (fma.f64 -1 (.f64 (pow.f64 eps 8) (fma.f64 -1/315 (.f64 (sqrt.f64 1/2) (cos.f64 x)) (fma.f64 1/360 (/.f64 (cos.f64 x) (sqrt.f64 1/2)) (fma.f64 1/2 (.f64 (/.f64 (cos.f64 x) (sqrt.f64 1/2)) (+.f64 17/5760 (.f64 (/.f64 (-.f64 1/48 (pow.f64 (/.f64 1/16 (sqrt.f64 1/2)) 2)) (pow.f64 (sqrt.f64 1/2) 2)) -1/16))) (.f64 (.f64 (/.f64 (cos.f64 x) (sqrt.f64 1/2)) (-.f64 1/48 (pow.f64 (/.f64 1/16 (sqrt.f64 1/2)) 2))) -1/6))))) (fma.f64 -1 (.f64 (pow.f64 eps 6) (fma.f64 1/2 (.f64 (/.f64 (cos.f64 x) (sqrt.f64 1/2)) (-.f64 1/48 (pow.f64 (/.f64 1/16 (sqrt.f64 1/2)) 2))) (fma.f64 -1/48 (/.f64 (cos.f64 x) (sqrt.f64 1/2)) (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 x) 2/45))))) (.f64 (.f64 eps (.f64 eps (sqrt.f64 1/2))) (neg.f64 (cos.f64 x))))))
(.f64 -1 (.f64 (*.f64 (cos.f64 x) (pow.f64 (sin.f64 eps) 2)) (sqrt.f64 (/.f64 1 (+.f64 1 (cos.f64 eps))))))
(neg.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (cos.f64 eps)))) (.f64 (cos.f64 x) (pow.f64 (sin.f64 eps) 2))))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (cos.f64 eps)))) (.f64 (pow.f64 (sin.f64 eps) 2) (neg.f64 (cos.f64 x))))
(.f64 -1 (.f64 (*.f64 (cos.f64 x) (pow.f64 (sin.f64 eps) 2)) (sqrt.f64 (/.f64 1 (+.f64 1 (cos.f64 eps))))))
(neg.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (cos.f64 eps)))) (.f64 (cos.f64 x) (pow.f64 (sin.f64 eps) 2))))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (cos.f64 eps)))) (.f64 (pow.f64 (sin.f64 eps) 2) (neg.f64 (cos.f64 x))))
(.f64 -1 (.f64 (*.f64 (cos.f64 x) (pow.f64 (sin.f64 eps) 2)) (sqrt.f64 (/.f64 1 (+.f64 1 (cos.f64 eps))))))
(neg.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (cos.f64 eps)))) (.f64 (cos.f64 x) (pow.f64 (sin.f64 eps) 2))))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (cos.f64 eps)))) (.f64 (pow.f64 (sin.f64 eps) 2) (neg.f64 (cos.f64 x))))
(.f64 -1 (.f64 (*.f64 (cos.f64 x) (pow.f64 (sin.f64 eps) 2)) (sqrt.f64 (/.f64 1 (+.f64 1 (cos.f64 eps))))))
(neg.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (cos.f64 eps)))) (.f64 (cos.f64 x) (pow.f64 (sin.f64 eps) 2))))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (cos.f64 eps)))) (.f64 (pow.f64 (sin.f64 eps) 2) (neg.f64 (cos.f64 x))))
(.f64 -1 (.f64 (*.f64 (cos.f64 x) (pow.f64 (sin.f64 eps) 2)) (sqrt.f64 (/.f64 1 (+.f64 1 (cos.f64 eps))))))
(neg.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (cos.f64 eps)))) (.f64 (cos.f64 x) (pow.f64 (sin.f64 eps) 2))))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (cos.f64 eps)))) (.f64 (pow.f64 (sin.f64 eps) 2) (neg.f64 (cos.f64 x))))
(.f64 -1 (.f64 (*.f64 (cos.f64 x) (pow.f64 (sin.f64 eps) 2)) (sqrt.f64 (/.f64 1 (+.f64 1 (cos.f64 eps))))))
(neg.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (cos.f64 eps)))) (.f64 (cos.f64 x) (pow.f64 (sin.f64 eps) 2))))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (cos.f64 eps)))) (.f64 (pow.f64 (sin.f64 eps) 2) (neg.f64 (cos.f64 x))))
(.f64 -1 (.f64 (*.f64 (cos.f64 x) (pow.f64 (sin.f64 eps) 2)) (sqrt.f64 (/.f64 1 (+.f64 1 (cos.f64 eps))))))
(neg.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (cos.f64 eps)))) (.f64 (cos.f64 x) (pow.f64 (sin.f64 eps) 2))))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (cos.f64 eps)))) (.f64 (pow.f64 (sin.f64 eps) 2) (neg.f64 (cos.f64 x))))
(.f64 -1 (.f64 (*.f64 (cos.f64 x) (pow.f64 (sin.f64 eps) 2)) (sqrt.f64 (/.f64 1 (+.f64 1 (cos.f64 eps))))))
(neg.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (cos.f64 eps)))) (.f64 (cos.f64 x) (pow.f64 (sin.f64 eps) 2))))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (cos.f64 eps)))) (.f64 (pow.f64 (sin.f64 eps) 2) (neg.f64 (cos.f64 x))))
(.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (cos.f64 eps)))) (pow.f64 (sin.f64 eps) 2)))
(neg.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (sqrt.f64 (/.f64 1 (+.f64 1 (cos.f64 eps))))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (cos.f64 eps)))) (neg.f64 (pow.f64 (sin.f64 eps) 2)))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (cos.f64 eps)))) (.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 x 2)))) (.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (cos.f64 eps)))) (pow.f64 (sin.f64 eps) 2))))
(fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (cos.f64 eps)))) (.f64 (pow.f64 (sin.f64 eps) 2) (.f64 x x))) (neg.f64 (.f64 (pow.f64 (sin.f64 eps) 2) (sqrt.f64 (/.f64 1 (+.f64 1 (cos.f64 eps)))))))
(fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (cos.f64 eps)))) (.f64 x (.f64 x (pow.f64 (sin.f64 eps) 2)))) (.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (cos.f64 eps)))) (neg.f64 (pow.f64 (sin.f64 eps) 2))))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (cos.f64 eps)))) (.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 x 2)))) (+.f64 (.f64 -1/24 (.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (cos.f64 eps)))) (.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 x 4)))) (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (cos.f64 eps)))) (pow.f64 (sin.f64 eps) 2)))))
(fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (cos.f64 eps)))) (.f64 (pow.f64 (sin.f64 eps) 2) (.f64 x x))) (fma.f64 -1/24 (.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (cos.f64 eps)))) (.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 x 4))) (neg.f64 (.f64 (pow.f64 (sin.f64 eps) 2) (sqrt.f64 (/.f64 1 (+.f64 1 (cos.f64 eps))))))))
(fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (cos.f64 eps)))) (.f64 x (.f64 x (pow.f64 (sin.f64 eps) 2)))) (fma.f64 -1/24 (.f64 (pow.f64 (sin.f64 eps) 2) (.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (cos.f64 eps)))) (pow.f64 x 4))) (.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (cos.f64 eps)))) (neg.f64 (pow.f64 (sin.f64 eps) 2)))))
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(/.f64 (neg.f64 (pow.f64 (pow.f64 (sin.f64 eps) 2) 3)) (pow.f64 (sin.f64 eps) 4))
(-.f64 (/.f64 0 (pow.f64 (sin.f64 eps) 4)) (pow.f64 (sin.f64 eps) 2))
(/.f64 (-.f64 0 (pow.f64 (pow.f64 (sin.f64 eps) 2) 3)) (.f64 1 (+.f64 (+.f64 0 (pow.f64 (sin.f64 eps) 4)) (.f64 0 (pow.f64 (sin.f64 eps) 2)))))
(/.f64 (neg.f64 (pow.f64 (pow.f64 (sin.f64 eps) 2) 3)) (pow.f64 (sin.f64 eps) 4))
(-.f64 (/.f64 0 (pow.f64 (sin.f64 eps) 4)) (pow.f64 (sin.f64 eps) 2))
(/.f64 (-.f64 (pow.f64 (pow.f64 (cos.f64 eps) 2) 3) 1) (+.f64 (.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) (+.f64 1 (.f64 (pow.f64 (cos.f64 eps) 2) 1))))
(/.f64 (+.f64 (pow.f64 (pow.f64 (cos.f64 eps) 2) 3) -1) (+.f64 (pow.f64 (cos.f64 eps) 4) (+.f64 1 (pow.f64 (cos.f64 eps) 2))))
(/.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 6)) (+.f64 (pow.f64 (cos.f64 eps) 2) (+.f64 1 (pow.f64 (cos.f64 eps) 4))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (cos.f64 eps) 2) 3) 1) (.f64 1 (+.f64 (.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) (+.f64 1 (*.f64 (pow.f64 (cos.f64 eps) 2) 1)))))
(/.f64 (+.f64 (pow.f64 (pow.f64 (cos.f64 eps) 2) 3) -1) (+.f64 (pow.f64 (cos.f64 eps) 4) (+.f64 1 (pow.f64 (cos.f64 eps) 2))))
(/.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 6)) (+.f64 (pow.f64 (cos.f64 eps) 2) (+.f64 1 (pow.f64 (cos.f64 eps) 4))))
(/.f64 (-.f64 (cos.f64 (-.f64 eps eps)) (cos.f64 (+.f64 eps eps))) 2)
(/.f64 (-.f64 (cos.f64 0) (cos.f64 (+.f64 eps eps))) 2)
(neg.f64 (pow.f64 (sin.f64 eps) 2))
(sqrt.f64 (pow.f64 (sin.f64 eps) 4))
(log.f64 (exp.f64 (pow.f64 (sin.f64 eps) 2)))
(pow.f64 (sin.f64 eps) 2)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (sin.f64 eps) 2))))
(pow.f64 (sin.f64 eps) 2)
(cbrt.f64 (pow.f64 (pow.f64 (sin.f64 eps) 2) 3))
(pow.f64 (sin.f64 eps) 2)
(expm1.f64 (log1p.f64 (pow.f64 (sin.f64 eps) 2)))
(pow.f64 (sin.f64 eps) 2)
(exp.f64 (*.f64 2 (log.f64 (sin.f64 eps))))
(pow.f64 (exp.f64 2) (log.f64 (sin.f64 eps)))
(exp.f64 (.f64 (.f64 2 (log.f64 (sin.f64 eps))) 1))
(pow.f64 (exp.f64 2) (log.f64 (sin.f64 eps)))
(log1p.f64 (expm1.f64 (pow.f64 (sin.f64 eps) 2)))
(pow.f64 (sin.f64 eps) 2)
(fma.f64 (cos.f64 eps) (cos.f64 eps) -1)
(+.f64 -1 (pow.f64 (cos.f64 eps) 2))

localize6.0ms (0%)

Compiler: Compiled 13 to 13 computations (0% saved)

localize43.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.04%	(+.f64 (+.f64 eps (*.f64 x 2)) eps)
✓	1.68%	(-.f64 (cos.f64 x) (cos.f64 (.f64 1/2 (+.f64 (+.f64 eps (.f64 x 2)) eps))))
✓	5.89%	(cos.f64 (.f64 1/2 (+.f64 (+.f64 eps (.f64 x 2)) eps)))

Compiler

Compiled 88 to 58 computations (34.1% saved)

series3.0ms (0%)

Counts

3 → 72

Calls

18 calls:

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

rewrite113.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1776×	`associate-*r/`
1512×	`associate-*l/`
560×	`associate-+l+`
362×	`+-commutative`
350×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	87
1	322	75
2	4554	75

Stop Event

1×	node limit

Counts

3 → 169

Calls

Call 1

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

Outputs

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

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

simplify147.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1210×	`associate-+r+`
1160×	`associate-+l+`
1010×	`+-commutative`
644×	`associate-r`
556×	`fma-def`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	519	13559
1	1364	10805
2	5711	10805

Stop Event

1×	node limit

Counts

241 → 288

Calls

Call 1

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

Outputs
(cos.f64 x)
(+.f64 (cos.f64 x) (.f64 -1 (.f64 eps (sin.f64 x))))
(+.f64 (cos.f64 x) (neg.f64 (*.f64 eps (sin.f64 x))))
(-.f64 (cos.f64 x) (*.f64 eps (sin.f64 x)))
(+.f64 (cos.f64 x) (+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (.f64 -1 (.f64 eps (sin.f64 x)))))
(+.f64 (cos.f64 x) (fma.f64 -1/2 (.f64 (cos.f64 x) (.f64 eps eps)) (neg.f64 (*.f64 eps (sin.f64 x)))))
(-.f64 (.f64 (+.f64 (.f64 (.f64 eps -1/2) eps) 1) (cos.f64 x)) (.f64 eps (sin.f64 x)))
(-.f64 (.f64 (+.f64 1 (.f64 (.f64 eps -1/2) eps)) (cos.f64 x)) (.f64 eps (sin.f64 x)))
(+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) (sin.f64 x))) (+.f64 (cos.f64 x) (+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (.f64 -1 (.f64 eps (sin.f64 x))))))
(fma.f64 1/6 (.f64 (sin.f64 x) (pow.f64 eps 3)) (+.f64 (cos.f64 x) (fma.f64 -1/2 (.f64 (cos.f64 x) (.f64 eps eps)) (neg.f64 (.f64 eps (sin.f64 x))))))
(fma.f64 1/6 (.f64 (sin.f64 x) (pow.f64 eps 3)) (-.f64 (.f64 (+.f64 (.f64 (.f64 eps -1/2) eps) 1) (cos.f64 x)) (*.f64 eps (sin.f64 x))))
(fma.f64 1/6 (.f64 (sin.f64 x) (pow.f64 eps 3)) (-.f64 (.f64 (+.f64 1 (.f64 (.f64 eps -1/2) eps)) (cos.f64 x)) (*.f64 eps (sin.f64 x))))
(cos.f64 (.f64 1/2 (+.f64 (.f64 2 eps) (*.f64 2 x))))
(cos.f64 (.f64 1/2 (.f64 2 (+.f64 eps x))))
(cos.f64 (+.f64 eps (*.f64 x 1)))
(cos.f64 (.f64 1/2 (+.f64 (.f64 2 eps) (*.f64 2 x))))
(cos.f64 (.f64 1/2 (.f64 2 (+.f64 eps x))))
(cos.f64 (+.f64 eps (*.f64 x 1)))
(cos.f64 (.f64 1/2 (+.f64 (.f64 2 eps) (*.f64 2 x))))
(cos.f64 (.f64 1/2 (.f64 2 (+.f64 eps x))))
(cos.f64 (+.f64 eps (*.f64 x 1)))
(cos.f64 (.f64 1/2 (+.f64 (.f64 2 eps) (*.f64 2 x))))
(cos.f64 (.f64 1/2 (.f64 2 (+.f64 eps x))))
(cos.f64 (+.f64 eps (*.f64 x 1)))
(cos.f64 (.f64 1/2 (-.f64 (.f64 2 x) (*.f64 -2 eps))))
(cos.f64 (.f64 1/2 (.f64 2 (+.f64 eps x))))
(cos.f64 (+.f64 eps (*.f64 x 1)))
(cos.f64 (.f64 1/2 (-.f64 (.f64 2 x) (*.f64 -2 eps))))
(cos.f64 (.f64 1/2 (.f64 2 (+.f64 eps x))))
(cos.f64 (+.f64 eps (*.f64 x 1)))
(cos.f64 (.f64 1/2 (-.f64 (.f64 2 x) (*.f64 -2 eps))))
(cos.f64 (.f64 1/2 (.f64 2 (+.f64 eps x))))
(cos.f64 (+.f64 eps (*.f64 x 1)))
(cos.f64 (.f64 1/2 (-.f64 (.f64 2 x) (*.f64 -2 eps))))
(cos.f64 (.f64 1/2 (.f64 2 (+.f64 eps x))))
(cos.f64 (+.f64 eps (*.f64 x 1)))
(cos.f64 eps)
(+.f64 (cos.f64 eps) (.f64 -1 (.f64 x (sin.f64 eps))))
(+.f64 (cos.f64 eps) (neg.f64 (*.f64 x (sin.f64 eps))))
(-.f64 (cos.f64 eps) (*.f64 x (sin.f64 eps)))
(+.f64 (cos.f64 eps) (+.f64 (.f64 -1/2 (.f64 (cos.f64 eps) (pow.f64 x 2))) (.f64 -1 (.f64 x (sin.f64 eps)))))
(+.f64 (cos.f64 eps) (fma.f64 -1/2 (.f64 (cos.f64 eps) (.f64 x x)) (neg.f64 (*.f64 x (sin.f64 eps)))))
(+.f64 (cos.f64 eps) (fma.f64 -1/2 (.f64 x (.f64 x (cos.f64 eps))) (*.f64 x (neg.f64 (sin.f64 eps)))))
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(.f64 (/.f64 (sqrt.f64 (.f64 2 (+.f64 x eps))) (sqrt.f64 (-.f64 (fma.f64 x 2 eps) eps))) (sqrt.f64 (-.f64 (pow.f64 (fma.f64 x 2 eps) 2) (*.f64 eps eps))))
(/.f64 (.f64 (sqrt.f64 (+.f64 eps (fma.f64 x 2 eps))) (sqrt.f64 (+.f64 (pow.f64 eps 3) (pow.f64 (fma.f64 x 2 eps) 3)))) (sqrt.f64 (+.f64 (pow.f64 (fma.f64 x 2 eps) 2) (.f64 eps (-.f64 eps (fma.f64 x 2 eps))))))
(/.f64 (sqrt.f64 (+.f64 eps (fma.f64 x 2 eps))) (/.f64 (sqrt.f64 (+.f64 (pow.f64 (fma.f64 x 2 eps) 2) (*.f64 eps (-.f64 eps (fma.f64 x 2 eps))))) (sqrt.f64 (+.f64 (pow.f64 eps 3) (pow.f64 (fma.f64 x 2 eps) 3)))))
(.f64 (/.f64 (hypot.f64 (pow.f64 eps 3/2) (pow.f64 (fma.f64 x 2 eps) 3/2)) (sqrt.f64 (fma.f64 eps (-.f64 eps (fma.f64 x 2 eps)) (pow.f64 (fma.f64 x 2 eps) 2)))) (sqrt.f64 (.f64 2 (+.f64 x eps))))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (+.f64 eps (fma.f64 x 2 eps))) 2) (cbrt.f64 (-.f64 (pow.f64 (fma.f64 x 2 eps) 2) (.f64 eps eps)))) (cbrt.f64 (-.f64 (fma.f64 x 2 eps) eps)))
(/.f64 (pow.f64 (cbrt.f64 (+.f64 eps (fma.f64 x 2 eps))) 2) (/.f64 (cbrt.f64 (-.f64 (fma.f64 x 2 eps) eps)) (cbrt.f64 (-.f64 (pow.f64 (fma.f64 x 2 eps) 2) (*.f64 eps eps)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 2 (+.f64 x eps))) 2) (cbrt.f64 (-.f64 (fma.f64 x 2 eps) eps))) (cbrt.f64 (-.f64 (pow.f64 (fma.f64 x 2 eps) 2) (*.f64 eps eps))))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (+.f64 eps (fma.f64 x 2 eps))) 2) (cbrt.f64 (+.f64 (pow.f64 eps 3) (pow.f64 (fma.f64 x 2 eps) 3)))) (cbrt.f64 (+.f64 (pow.f64 (fma.f64 x 2 eps) 2) (.f64 eps (-.f64 eps (fma.f64 x 2 eps))))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 2 (+.f64 x eps))) 2) (cbrt.f64 (fma.f64 eps (-.f64 eps (fma.f64 x 2 eps)) (pow.f64 (fma.f64 x 2 eps) 2)))) (cbrt.f64 (+.f64 (pow.f64 eps 3) (pow.f64 (fma.f64 x 2 eps) 3))))
(/.f64 (.f64 (-.f64 (pow.f64 (fma.f64 x 2 eps) 2) (.f64 eps eps)) 1) (-.f64 (fma.f64 x 2 eps) eps))
(/.f64 (-.f64 (pow.f64 (fma.f64 x 2 eps) 2) (*.f64 eps eps)) (-.f64 (fma.f64 x 2 eps) eps))
(/.f64 (.f64 (+.f64 (pow.f64 eps 3) (pow.f64 (fma.f64 x 2 eps) 3)) 1) (+.f64 (pow.f64 (fma.f64 x 2 eps) 2) (.f64 eps (-.f64 eps (fma.f64 x 2 eps)))))
(/.f64 (+.f64 (pow.f64 eps 3) (pow.f64 (fma.f64 x 2 eps) 3)) (+.f64 (pow.f64 (fma.f64 x 2 eps) 2) (*.f64 eps (-.f64 eps (fma.f64 x 2 eps)))))
(/.f64 (+.f64 (pow.f64 eps 3) (pow.f64 (fma.f64 x 2 eps) 3)) (fma.f64 eps (-.f64 eps (fma.f64 x 2 eps)) (pow.f64 (fma.f64 x 2 eps) 2)))
(/.f64 (.f64 (-.f64 (.f64 eps eps) (pow.f64 (fma.f64 x 2 eps) 2)) 1) (-.f64 eps (fma.f64 x 2 eps)))
(/.f64 (-.f64 (pow.f64 (fma.f64 x 2 eps) 2) (*.f64 eps eps)) (-.f64 (fma.f64 x 2 eps) eps))
(/.f64 (.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 x 2 eps) 2) (.f64 eps eps))) 1) (neg.f64 (-.f64 (fma.f64 x 2 eps) eps)))
(/.f64 (-.f64 (pow.f64 (fma.f64 x 2 eps) 2) (*.f64 eps eps)) (-.f64 (fma.f64 x 2 eps) eps))
(/.f64 (.f64 (neg.f64 (+.f64 (pow.f64 eps 3) (pow.f64 (fma.f64 x 2 eps) 3))) 1) (neg.f64 (+.f64 (pow.f64 (fma.f64 x 2 eps) 2) (.f64 eps (-.f64 eps (fma.f64 x 2 eps))))))
(/.f64 (+.f64 (pow.f64 eps 3) (pow.f64 (fma.f64 x 2 eps) 3)) (+.f64 (pow.f64 (fma.f64 x 2 eps) 2) (*.f64 eps (-.f64 eps (fma.f64 x 2 eps)))))
(/.f64 (+.f64 (pow.f64 eps 3) (pow.f64 (fma.f64 x 2 eps) 3)) (fma.f64 eps (-.f64 eps (fma.f64 x 2 eps)) (pow.f64 (fma.f64 x 2 eps) 2)))
(/.f64 (.f64 (sqrt.f64 (-.f64 (pow.f64 (fma.f64 x 2 eps) 2) (.f64 eps eps))) (sqrt.f64 (+.f64 eps (fma.f64 x 2 eps)))) (sqrt.f64 (-.f64 (fma.f64 x 2 eps) eps)))
(/.f64 (sqrt.f64 (+.f64 eps (fma.f64 x 2 eps))) (/.f64 (sqrt.f64 (-.f64 (fma.f64 x 2 eps) eps)) (sqrt.f64 (-.f64 (pow.f64 (fma.f64 x 2 eps) 2) (*.f64 eps eps)))))
(.f64 (/.f64 (sqrt.f64 (.f64 2 (+.f64 x eps))) (sqrt.f64 (-.f64 (fma.f64 x 2 eps) eps))) (sqrt.f64 (-.f64 (pow.f64 (fma.f64 x 2 eps) 2) (*.f64 eps eps))))
(/.f64 (.f64 (sqrt.f64 (+.f64 (pow.f64 eps 3) (pow.f64 (fma.f64 x 2 eps) 3))) (sqrt.f64 (+.f64 eps (fma.f64 x 2 eps)))) (sqrt.f64 (+.f64 (pow.f64 (fma.f64 x 2 eps) 2) (.f64 eps (-.f64 eps (fma.f64 x 2 eps))))))
(/.f64 (sqrt.f64 (+.f64 eps (fma.f64 x 2 eps))) (/.f64 (sqrt.f64 (+.f64 (pow.f64 (fma.f64 x 2 eps) 2) (*.f64 eps (-.f64 eps (fma.f64 x 2 eps))))) (sqrt.f64 (+.f64 (pow.f64 eps 3) (pow.f64 (fma.f64 x 2 eps) 3)))))
(.f64 (/.f64 (hypot.f64 (pow.f64 eps 3/2) (pow.f64 (fma.f64 x 2 eps) 3/2)) (sqrt.f64 (fma.f64 eps (-.f64 eps (fma.f64 x 2 eps)) (pow.f64 (fma.f64 x 2 eps) 2)))) (sqrt.f64 (.f64 2 (+.f64 x eps))))
(/.f64 (.f64 (cbrt.f64 (-.f64 (pow.f64 (fma.f64 x 2 eps) 2) (.f64 eps eps))) (pow.f64 (cbrt.f64 (+.f64 eps (fma.f64 x 2 eps))) 2)) (cbrt.f64 (-.f64 (fma.f64 x 2 eps) eps)))
(/.f64 (pow.f64 (cbrt.f64 (+.f64 eps (fma.f64 x 2 eps))) 2) (/.f64 (cbrt.f64 (-.f64 (fma.f64 x 2 eps) eps)) (cbrt.f64 (-.f64 (pow.f64 (fma.f64 x 2 eps) 2) (*.f64 eps eps)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 2 (+.f64 x eps))) 2) (cbrt.f64 (-.f64 (fma.f64 x 2 eps) eps))) (cbrt.f64 (-.f64 (pow.f64 (fma.f64 x 2 eps) 2) (*.f64 eps eps))))
(/.f64 (.f64 (cbrt.f64 (+.f64 (pow.f64 eps 3) (pow.f64 (fma.f64 x 2 eps) 3))) (pow.f64 (cbrt.f64 (+.f64 eps (fma.f64 x 2 eps))) 2)) (cbrt.f64 (+.f64 (pow.f64 (fma.f64 x 2 eps) 2) (.f64 eps (-.f64 eps (fma.f64 x 2 eps))))))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (+.f64 eps (fma.f64 x 2 eps))) 2) (cbrt.f64 (+.f64 (pow.f64 eps 3) (pow.f64 (fma.f64 x 2 eps) 3)))) (cbrt.f64 (+.f64 (pow.f64 (fma.f64 x 2 eps) 2) (.f64 eps (-.f64 eps (fma.f64 x 2 eps))))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 2 (+.f64 x eps))) 2) (cbrt.f64 (fma.f64 eps (-.f64 eps (fma.f64 x 2 eps)) (pow.f64 (fma.f64 x 2 eps) 2)))) (cbrt.f64 (+.f64 (pow.f64 eps 3) (pow.f64 (fma.f64 x 2 eps) 3))))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 (fma.f64 x 2 eps) 2) (pow.f64 (fma.f64 x 2 eps) 2)) (.f64 (.f64 eps eps) (.f64 eps eps))) (/.f64 1 (-.f64 (fma.f64 x 2 eps) eps))) (+.f64 (.f64 eps eps) (pow.f64 (fma.f64 x 2 eps) 2)))
(/.f64 (-.f64 (pow.f64 (fma.f64 x 2 eps) 4) (pow.f64 eps 4)) (/.f64 (fma.f64 eps eps (pow.f64 (fma.f64 x 2 eps) 2)) (/.f64 1 (-.f64 (fma.f64 x 2 eps) eps))))
(/.f64 (-.f64 (pow.f64 (fma.f64 x 2 eps) 4) (pow.f64 eps 4)) (*.f64 (fma.f64 eps eps (pow.f64 (fma.f64 x 2 eps) 2)) (-.f64 (fma.f64 x 2 eps) eps)))
(/.f64 (.f64 (-.f64 (pow.f64 (pow.f64 (fma.f64 x 2 eps) 2) 3) (pow.f64 (.f64 eps eps) 3)) (/.f64 1 (-.f64 (fma.f64 x 2 eps) eps))) (+.f64 (.f64 (pow.f64 (fma.f64 x 2 eps) 2) (pow.f64 (fma.f64 x 2 eps) 2)) (+.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) (.f64 (pow.f64 (fma.f64 x 2 eps) 2) (.f64 eps eps)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (fma.f64 x 2 eps) 2) 3) (pow.f64 eps 6)) (/.f64 (+.f64 (pow.f64 (fma.f64 x 2 eps) 4) (.f64 (.f64 eps eps) (fma.f64 eps eps (pow.f64 (fma.f64 x 2 eps) 2)))) (/.f64 1 (-.f64 (fma.f64 x 2 eps) eps))))
(/.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 x 2 eps) 6) (pow.f64 eps 6)) (-.f64 (fma.f64 x 2 eps) eps)) (fma.f64 (*.f64 eps eps) (fma.f64 eps eps (pow.f64 (fma.f64 x 2 eps) 2)) (pow.f64 (fma.f64 x 2 eps) 4)))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 (fma.f64 x 2 eps) 3) (pow.f64 (fma.f64 x 2 eps) 3)) (.f64 (pow.f64 eps 3) (pow.f64 eps 3))) (/.f64 1 (+.f64 (pow.f64 (fma.f64 x 2 eps) 2) (.f64 eps (-.f64 eps (fma.f64 x 2 eps)))))) (-.f64 (pow.f64 (fma.f64 x 2 eps) 3) (pow.f64 eps 3)))
(/.f64 (.f64 (/.f64 1 (+.f64 (pow.f64 (fma.f64 x 2 eps) 2) (.f64 eps (-.f64 eps (fma.f64 x 2 eps))))) (-.f64 (pow.f64 (fma.f64 x 2 eps) 6) (pow.f64 eps 6))) (-.f64 (pow.f64 (fma.f64 x 2 eps) 3) (pow.f64 eps 3)))
(/.f64 (-.f64 (pow.f64 (fma.f64 x 2 eps) 6) (pow.f64 eps 6)) (*.f64 (-.f64 (pow.f64 (fma.f64 x 2 eps) 3) (pow.f64 eps 3)) (fma.f64 eps (-.f64 eps (fma.f64 x 2 eps)) (pow.f64 (fma.f64 x 2 eps) 2))))
(/.f64 (.f64 (+.f64 (pow.f64 (pow.f64 eps 3) 3) (pow.f64 (pow.f64 (fma.f64 x 2 eps) 3) 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 x 2 eps) 2) (.f64 eps (-.f64 eps (fma.f64 x 2 eps)))))) (+.f64 (.f64 (pow.f64 (fma.f64 x 2 eps) 3) (pow.f64 (fma.f64 x 2 eps) 3)) (-.f64 (.f64 (pow.f64 eps 3) (pow.f64 eps 3)) (*.f64 (pow.f64 (fma.f64 x 2 eps) 3) (pow.f64 eps 3)))))
(/.f64 (/.f64 (.f64 (+.f64 (pow.f64 (pow.f64 eps 3) 3) (pow.f64 (pow.f64 (fma.f64 x 2 eps) 3) 3)) 1) (+.f64 (pow.f64 (fma.f64 x 2 eps) 2) (.f64 eps (-.f64 eps (fma.f64 x 2 eps))))) (-.f64 (+.f64 (pow.f64 (fma.f64 x 2 eps) 6) (pow.f64 eps 6)) (*.f64 (pow.f64 eps 3) (pow.f64 (fma.f64 x 2 eps) 3))))
(/.f64 (+.f64 (pow.f64 (pow.f64 eps 3) 3) (pow.f64 (pow.f64 (fma.f64 x 2 eps) 3) 3)) (*.f64 (fma.f64 (pow.f64 eps 3) (-.f64 (pow.f64 eps 3) (pow.f64 (fma.f64 x 2 eps) 3)) (pow.f64 (fma.f64 x 2 eps) 6)) (fma.f64 eps (-.f64 eps (fma.f64 x 2 eps)) (pow.f64 (fma.f64 x 2 eps) 2))))
(pow.f64 (+.f64 eps (fma.f64 x 2 eps)) 1)
(*.f64 2 (+.f64 eps x))
(*.f64 2 (+.f64 x eps))
(pow.f64 (sqrt.f64 (+.f64 eps (fma.f64 x 2 eps))) 2)
(*.f64 2 (+.f64 eps x))
(*.f64 2 (+.f64 x eps))
(pow.f64 (cbrt.f64 (+.f64 eps (fma.f64 x 2 eps))) 3)
(*.f64 2 (+.f64 eps x))
(*.f64 2 (+.f64 x eps))
(pow.f64 (pow.f64 (+.f64 eps (fma.f64 x 2 eps)) 3) 1/3)
(*.f64 2 (+.f64 eps x))
(*.f64 2 (+.f64 x eps))
(sqrt.f64 (pow.f64 (+.f64 eps (fma.f64 x 2 eps)) 2))
(fabs.f64 (*.f64 2 (+.f64 x eps)))
(log.f64 (exp.f64 (+.f64 eps (fma.f64 x 2 eps))))
(*.f64 2 (+.f64 eps x))
(*.f64 2 (+.f64 x eps))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 eps (fma.f64 x 2 eps)))))
(*.f64 2 (+.f64 eps x))
(*.f64 2 (+.f64 x eps))
(cbrt.f64 (pow.f64 (+.f64 eps (fma.f64 x 2 eps)) 3))
(*.f64 2 (+.f64 eps x))
(*.f64 2 (+.f64 x eps))
(expm1.f64 (log1p.f64 (+.f64 eps (fma.f64 x 2 eps))))
(*.f64 2 (+.f64 eps x))
(*.f64 2 (+.f64 x eps))
(exp.f64 (log.f64 (+.f64 eps (fma.f64 x 2 eps))))
(*.f64 2 (+.f64 eps x))
(*.f64 2 (+.f64 x eps))
(exp.f64 (*.f64 (log.f64 (+.f64 eps (fma.f64 x 2 eps))) 1))
(*.f64 2 (+.f64 eps x))
(*.f64 2 (+.f64 x eps))
(log1p.f64 (expm1.f64 (+.f64 eps (fma.f64 x 2 eps))))
(*.f64 2 (+.f64 eps x))
(*.f64 2 (+.f64 x eps))
(fma.f64 1 eps (fma.f64 x 2 eps))
(*.f64 2 (+.f64 eps x))
(*.f64 2 (+.f64 x eps))
(fma.f64 1 (fma.f64 x 2 eps) eps)
(*.f64 2 (+.f64 eps x))
(*.f64 2 (+.f64 x eps))
(fma.f64 (sqrt.f64 eps) (sqrt.f64 eps) (fma.f64 x 2 eps))
(*.f64 2 (+.f64 eps x))
(*.f64 2 (+.f64 x eps))
(fma.f64 (sqrt.f64 (fma.f64 x 2 eps)) (sqrt.f64 (fma.f64 x 2 eps)) eps)
(*.f64 2 (+.f64 eps x))
(*.f64 2 (+.f64 x eps))
(fma.f64 (pow.f64 (cbrt.f64 eps) 2) (cbrt.f64 eps) (fma.f64 x 2 eps))
(*.f64 2 (+.f64 eps x))
(*.f64 2 (+.f64 x eps))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x 2 eps)) 2) (cbrt.f64 (fma.f64 x 2 eps)) eps)
(*.f64 2 (+.f64 eps x))
(*.f64 2 (+.f64 x eps))

localize90.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.69%	(-.f64 (cos.f64 (+.f64 (+.f64 (.f64 (fma.f64 2 x eps) -1/2) (.f64 (-.f64 eps x) 1/2)) (.f64 x 1/2))) (cos.f64 (+.f64 (.f64 (+.f64 x (-.f64 eps x)) 1/2) (*.f64 (+.f64 eps (+.f64 x x)) 1/2))))
✓	4.07%	(+.f64 (.f64 (fma.f64 2 x eps) -1/2) (.f64 (-.f64 eps x) 1/2))
	5.2%	(+.f64 x (-.f64 eps x))
	5.89%	(cos.f64 (+.f64 (.f64 (+.f64 x (-.f64 eps x)) 1/2) (.f64 (+.f64 eps (+.f64 x x)) 1/2)))

Compiler

Compiled 240 to 123 computations (48.8% saved)

series6.0ms (0%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	eps	@	inf	(-.f64 (cos.f64 (+.f64 (+.f64 (.f64 (fma.f64 2 x eps) -1/2) (.f64 (-.f64 eps x) 1/2)) (.f64 x 1/2))) (cos.f64 (+.f64 (.f64 (+.f64 x (-.f64 eps x)) 1/2) (*.f64 (+.f64 eps (+.f64 x x)) 1/2))))
1.0ms	eps	@	-inf	(+.f64 (.f64 (fma.f64 2 x eps) -1/2) (.f64 (-.f64 eps x) 1/2))
1.0ms	x	@	0	(-.f64 (cos.f64 (+.f64 (+.f64 (.f64 (fma.f64 2 x eps) -1/2) (.f64 (-.f64 eps x) 1/2)) (.f64 x 1/2))) (cos.f64 (+.f64 (.f64 (+.f64 x (-.f64 eps x)) 1/2) (*.f64 (+.f64 eps (+.f64 x x)) 1/2))))
1.0ms	x	@	-inf	(+.f64 (.f64 (fma.f64 2 x eps) -1/2) (.f64 (-.f64 eps x) 1/2))
1.0ms	eps	@	inf	(+.f64 (.f64 (fma.f64 2 x eps) -1/2) (.f64 (-.f64 eps x) 1/2))

rewrite61.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

644×	`add-sqr-sqrt`
628×	`pow1`
628×	`*-un-lft-identity`
602×	`add-exp-log`
602×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	25	116
1	608	96

Stop Event

1×	node limit

Counts

2 → 54

Calls

Call 1

Inputs

(+.f64 (*.f64 (fma.f64 2 x eps) -1/2) (*.f64 (-.f64 eps x) 1/2))

(-.f64 (cos.f64 (+.f64 (+.f64 (*.f64 (fma.f64 2 x eps) -1/2) (*.f64 (-.f64 eps x) 1/2)) (*.f64 x 1/2))) (cos.f64 (+.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2) (*.f64 (+.f64 eps (+.f64 x x)) 1/2))))

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 (*.f64 1/2 (+.f64 (fma.f64 2 x eps) (-.f64 eps 0)))) (neg.f64 (cos.f64 (*.f64 1/2 (+.f64 (fma.f64 2 x eps) (-.f64 eps 0))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 (*.f64 1/2 (+.f64 (fma.f64 2 x eps) (-.f64 eps 0)))) (*.f64 (neg.f64 (cos.f64 (*.f64 1/2 (+.f64 (fma.f64 2 x eps) (-.f64 eps 0))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (cos.f64 (*.f64 1/2 (+.f64 (fma.f64 2 x eps) (-.f64 eps 0))))) (cos.f64 (*.f64 1/2 (+.f64 (fma.f64 2 x eps) (-.f64 eps 0)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (cos.f64 (*.f64 1/2 (+.f64 (fma.f64 2 x eps) (-.f64 eps 0)))) (*.f64 (cos.f64 (*.f64 1/2 (-.f64 eps 0))) (cos.f64 (*.f64 (fma.f64 2 x eps) -1/2)))) (*.f64 (sin.f64 (*.f64 1/2 (-.f64 eps 0))) (sin.f64 (*.f64 (fma.f64 2 x eps) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (cos.f64 (*.f64 1/2 (+.f64 (fma.f64 2 x eps) (-.f64 eps 0)))) (cos.f64 (*.f64 1/2 (+.f64 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(#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (cos.f64 (*.f64 1/2 (+.f64 (fma.f64 2 x eps) (-.f64 eps 0)))) 2) (*.f64 (neg.f64 (cos.f64 (*.f64 1/2 (+.f64 (fma.f64 2 x eps) (-.f64 eps 0))))) (neg.f64 (cos.f64 (*.f64 1/2 (+.f64 (fma.f64 2 x eps) (-.f64 eps 0))))))) (-.f64 (cos.f64 (*.f64 1/2 (+.f64 (fma.f64 2 x eps) (-.f64 eps 0)))) (neg.f64 (cos.f64 (*.f64 1/2 (+.f64 (fma.f64 2 x eps) (-.f64 eps 0)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (cos.f64 (*.f64 1/2 (+.f64 (fma.f64 2 x eps) (-.f64 eps 0)))) 3) (pow.f64 (neg.f64 (cos.f64 (*.f64 1/2 (+.f64 (fma.f64 2 x eps) (-.f64 eps 0))))) 3)) (+.f64 (pow.f64 (cos.f64 (*.f64 1/2 (+.f64 (fma.f64 2 x eps) (-.f64 eps 0)))) 2) (-.f64 (*.f64 (neg.f64 (cos.f64 (*.f64 1/2 (+.f64 (fma.f64 2 x eps) (-.f64 eps 0))))) (neg.f64 (cos.f64 (*.f64 1/2 (+.f64 (fma.f64 2 x eps) (-.f64 eps 0)))))) (*.f64 (cos.f64 (*.f64 1/2 (+.f64 (fma.f64 2 x eps) (-.f64 eps 0)))) (neg.f64 (cos.f64 (*.f64 1/2 (+.f64 (fma.f64 2 x eps) 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simplify75.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1258×	`associate-l`
922×	`distribute-lft-in`
854×	`distribute-rgt-in`
726×	`associate-+l+`
638×	`associate-+r+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	262	3948
1	737	3314
2	2268	2222

Stop Event

1×	node limit

Counts

102 → 119

Calls

Call 1

Inputs
(+.f64 (.f64 -1/2 eps) (.f64 1/2 eps))
(+.f64 (.f64 -3/2 x) (+.f64 (.f64 -1/2 eps) (*.f64 1/2 eps)))
(+.f64 (.f64 -3/2 x) (+.f64 (.f64 -1/2 eps) (*.f64 1/2 eps)))
(+.f64 (.f64 -3/2 x) (+.f64 (.f64 -1/2 eps) (*.f64 1/2 eps)))
(*.f64 -3/2 x)
(+.f64 (.f64 -1/2 eps) (+.f64 (.f64 -3/2 x) (*.f64 1/2 eps)))
(+.f64 (.f64 -1/2 eps) (+.f64 (.f64 -3/2 x) (*.f64 1/2 eps)))
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(/.f64 (+.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 (fma.f64 2 x eps) (-.f64 eps 0)))) 3) (pow.f64 (neg.f64 (cos.f64 (.f64 1/2 (+.f64 (fma.f64 2 x eps) (-.f64 eps 0))))) 3)) (+.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 (fma.f64 2 x eps) (-.f64 eps 0)))) 2) (-.f64 (.f64 (neg.f64 (cos.f64 (.f64 1/2 (+.f64 (fma.f64 2 x eps) (-.f64 eps 0))))) (neg.f64 (cos.f64 (.f64 1/2 (+.f64 (fma.f64 2 x eps) (-.f64 eps 0)))))) (.f64 (cos.f64 (.f64 1/2 (+.f64 (fma.f64 2 x eps) (-.f64 eps 0)))) (neg.f64 (cos.f64 (*.f64 1/2 (+.f64 (fma.f64 2 x eps) (-.f64 eps 0)))))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 (fma.f64 2 x eps) (-.f64 eps 0)))) 2) (pow.f64 (cos.f64 (.f64 1/2 (+.f64 (fma.f64 2 x eps) (-.f64 eps 0)))) 2))) (neg.f64 (+.f64 (cos.f64 (.f64 1/2 (+.f64 (fma.f64 2 x eps) (-.f64 eps 0)))) (cos.f64 (.f64 1/2 (+.f64 (fma.f64 2 x eps) (-.f64 eps 0)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 (fma.f64 2 x eps) (-.f64 eps 0)))) 3) (pow.f64 (cos.f64 (.f64 1/2 (+.f64 (fma.f64 2 x eps) (-.f64 eps 0)))) 3))) (neg.f64 (+.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 (fma.f64 2 x eps) (-.f64 eps 0)))) 2) (+.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 (fma.f64 2 x eps) (-.f64 eps 0)))) 2) (pow.f64 (cos.f64 (*.f64 1/2 (+.f64 (fma.f64 2 x eps) (-.f64 eps 0)))) 2)))))
(pow.f64 (-.f64 (cos.f64 (.f64 1/2 (+.f64 (fma.f64 2 x eps) (-.f64 eps 0)))) (cos.f64 (.f64 1/2 (+.f64 (fma.f64 2 x eps) (-.f64 eps 0))))) 1)
(sqrt.f64 (pow.f64 (-.f64 (cos.f64 (.f64 1/2 (+.f64 (fma.f64 2 x eps) (-.f64 eps 0)))) (cos.f64 (.f64 1/2 (+.f64 (fma.f64 2 x eps) (-.f64 eps 0))))) 2))
(log.f64 (exp.f64 (-.f64 (cos.f64 (.f64 1/2 (+.f64 (fma.f64 2 x eps) (-.f64 eps 0)))) (cos.f64 (.f64 1/2 (+.f64 (fma.f64 2 x eps) (-.f64 eps 0)))))))
(cbrt.f64 (.f64 (-.f64 (cos.f64 (.f64 1/2 (+.f64 (fma.f64 2 x eps) (-.f64 eps 0)))) (cos.f64 (.f64 1/2 (+.f64 (fma.f64 2 x eps) (-.f64 eps 0))))) (pow.f64 (-.f64 (cos.f64 (.f64 1/2 (+.f64 (fma.f64 2 x eps) (-.f64 eps 0)))) (cos.f64 (*.f64 1/2 (+.f64 (fma.f64 2 x eps) (-.f64 eps 0))))) 2)))
(expm1.f64 (log1p.f64 (-.f64 (cos.f64 (.f64 1/2 (+.f64 (fma.f64 2 x eps) (-.f64 eps 0)))) (cos.f64 (.f64 1/2 (+.f64 (fma.f64 2 x eps) (-.f64 eps 0)))))))
(exp.f64 (log.f64 (-.f64 (cos.f64 (.f64 1/2 (+.f64 (fma.f64 2 x eps) (-.f64 eps 0)))) (cos.f64 (.f64 1/2 (+.f64 (fma.f64 2 x eps) (-.f64 eps 0)))))))
(log1p.f64 (expm1.f64 (-.f64 (cos.f64 (.f64 1/2 (+.f64 (fma.f64 2 x eps) (-.f64 eps 0)))) (cos.f64 (.f64 1/2 (+.f64 (fma.f64 2 x eps) (-.f64 eps 0)))))))

Outputs
(+.f64 (.f64 -1/2 eps) (.f64 1/2 eps))
(*.f64 eps 0)
0
(+.f64 (.f64 -3/2 x) (+.f64 (.f64 -1/2 eps) (*.f64 1/2 eps)))
(fma.f64 -3/2 x (*.f64 eps 0))
(fma.f64 -3/2 x 0)
(*.f64 -3/2 x)
(+.f64 (.f64 -3/2 x) (+.f64 (.f64 -1/2 eps) (*.f64 1/2 eps)))
(fma.f64 -3/2 x (*.f64 eps 0))
(fma.f64 -3/2 x 0)
(*.f64 -3/2 x)
(+.f64 (.f64 -3/2 x) (+.f64 (.f64 -1/2 eps) (*.f64 1/2 eps)))
(fma.f64 -3/2 x (*.f64 eps 0))
(fma.f64 -3/2 x 0)
(*.f64 -3/2 x)
(*.f64 -3/2 x)
(fma.f64 -3/2 x (*.f64 eps 0))
(fma.f64 -3/2 x 0)
(+.f64 (.f64 -1/2 eps) (+.f64 (.f64 -3/2 x) (*.f64 1/2 eps)))
(fma.f64 -3/2 x (*.f64 eps 0))
(fma.f64 -3/2 x 0)
(*.f64 -3/2 x)
(+.f64 (.f64 -1/2 eps) (+.f64 (.f64 -3/2 x) (*.f64 1/2 eps)))
(fma.f64 -3/2 x (*.f64 eps 0))
(fma.f64 -3/2 x 0)
(*.f64 -3/2 x)
(+.f64 (.f64 -1/2 eps) (+.f64 (.f64 -3/2 x) (*.f64 1/2 eps)))
(fma.f64 -3/2 x (*.f64 eps 0))
(fma.f64 -3/2 x 0)
(*.f64 -3/2 x)
(*.f64 -3/2 x)
(fma.f64 -3/2 x (*.f64 eps 0))
(fma.f64 -3/2 x 0)
(+.f64 (.f64 -1/2 eps) (+.f64 (.f64 -3/2 x) (*.f64 1/2 eps)))
(fma.f64 -3/2 x (*.f64 eps 0))
(fma.f64 -3/2 x 0)
(*.f64 -3/2 x)
(+.f64 (.f64 -1/2 eps) (+.f64 (.f64 -3/2 x) (*.f64 1/2 eps)))
(fma.f64 -3/2 x (*.f64 eps 0))
(fma.f64 -3/2 x 0)
(*.f64 -3/2 x)
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(fma.f64 -3/2 x (*.f64 eps 0))
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(*.f64 -3/2 x)
(+.f64 (.f64 -1/2 x) (.f64 -1 x))
(fma.f64 -3/2 x (*.f64 eps 0))
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(*.f64 -3/2 x)
(+.f64 (.f64 -1/2 x) (.f64 -1 x))
(fma.f64 -3/2 x (*.f64 eps 0))
(fma.f64 -3/2 x 0)
(*.f64 -3/2 x)
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(*.f64 -3/2 x)
(+.f64 (.f64 -1/2 x) (.f64 -1 x))
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(*.f64 -3/2 x)
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(*.f64 -3/2 x)
(+.f64 (.f64 -1/2 x) (.f64 -1 x))
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(*.f64 -3/2 x)
(+.f64 (.f64 -1/2 x) (.f64 -1 x))
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(fma.f64 -3/2 x 0)
(*.f64 -3/2 x)
(+.f64 (.f64 -1/2 x) (.f64 -1 x))
(fma.f64 -3/2 x (*.f64 eps 0))
(fma.f64 -3/2 x 0)
(*.f64 -3/2 x)
(+.f64 (.f64 -1/2 x) (.f64 -1 x))
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(fma.f64 -3/2 x 0)
(*.f64 -3/2 x)
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(*.f64 -3/2 x)
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(*.f64 -3/2 x)
(+.f64 (.f64 -1/2 x) (.f64 -1 x))
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(*.f64 -3/2 x)
(-.f64 (cos.f64 (+.f64 (.f64 -1/2 eps) (.f64 1/2 eps))) (cos.f64 eps))
(-.f64 (cos.f64 (*.f64 eps 0)) (cos.f64 eps))
(-.f64 (cos.f64 0) (cos.f64 eps))
(-.f64 (+.f64 (.f64 (-.f64 (sin.f64 eps) (.f64 -1 (sin.f64 (+.f64 (.f64 -1/2 eps) (.f64 1/2 eps))))) x) (cos.f64 (+.f64 (.f64 -1/2 eps) (.f64 1/2 eps)))) (cos.f64 eps))
(-.f64 (fma.f64 (-.f64 (sin.f64 eps) (neg.f64 (sin.f64 (.f64 eps 0)))) x (cos.f64 (.f64 eps 0))) (cos.f64 eps))
(-.f64 (fma.f64 x (+.f64 (sin.f64 eps) (sin.f64 0)) (cos.f64 0)) (cos.f64 eps))
(-.f64 (+.f64 (.f64 (-.f64 (sin.f64 eps) (.f64 -1 (sin.f64 (+.f64 (.f64 -1/2 eps) (.f64 1/2 eps))))) x) (+.f64 (cos.f64 (+.f64 (.f64 -1/2 eps) (.f64 1/2 eps))) (.f64 (-.f64 (.f64 -1/2 (cos.f64 (+.f64 (.f64 -1/2 eps) (.f64 1/2 eps)))) (*.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2)))) (cos.f64 eps))
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(fma.f64 x (+.f64 (sin.f64 eps) (sin.f64 0)) (.f64 (+.f64 (.f64 x (*.f64 -1/2 x)) 1) (-.f64 (cos.f64 0) (cos.f64 eps))))
(-.f64 (+.f64 (.f64 (-.f64 (sin.f64 eps) (.f64 -1 (sin.f64 (+.f64 (.f64 -1/2 eps) (.f64 1/2 eps))))) x) (+.f64 (.f64 (-.f64 (.f64 -1/6 (sin.f64 eps)) (.f64 1/6 (sin.f64 (+.f64 (.f64 -1/2 eps) (.f64 1/2 eps))))) (pow.f64 x 3)) (+.f64 (cos.f64 (+.f64 (.f64 -1/2 eps) (.f64 1/2 eps))) (.f64 (-.f64 (.f64 -1/2 (cos.f64 (+.f64 (.f64 -1/2 eps) (.f64 1/2 eps)))) (.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2))))) (cos.f64 eps))
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(-.f64 (fma.f64 x (+.f64 (sin.f64 eps) (sin.f64 0)) (fma.f64 (.f64 -1/6 (+.f64 (sin.f64 eps) (sin.f64 0))) (pow.f64 x 3) (fma.f64 (.f64 -1/2 (-.f64 (cos.f64 0) (cos.f64 eps))) (*.f64 x x) (cos.f64 0)))) (cos.f64 eps))
(+.f64 (fma.f64 x (+.f64 (sin.f64 eps) (sin.f64 0)) (.f64 (+.f64 (.f64 x (.f64 -1/2 x)) 1) (-.f64 (cos.f64 0) (cos.f64 eps)))) (.f64 -1/6 (*.f64 (+.f64 (sin.f64 eps) (sin.f64 0)) (pow.f64 x 3))))
(-.f64 (cos.f64 (+.f64 (.f64 1/2 x) (+.f64 (.f64 -1/2 (fma.f64 2 x eps)) (.f64 1/2 (-.f64 eps x))))) (cos.f64 (+.f64 (.f64 1/2 (+.f64 eps (.f64 2 x))) (.f64 1/2 eps))))
(-.f64 (cos.f64 (fma.f64 1/2 x (fma.f64 -1/2 (fma.f64 2 x eps) (.f64 1/2 (-.f64 eps x))))) (cos.f64 (.f64 1/2 (+.f64 eps (fma.f64 2 x eps)))))
(-.f64 (cos.f64 (fma.f64 -1/2 (fma.f64 x 2 eps) (fma.f64 1/2 (-.f64 eps x) (.f64 1/2 x)))) (cos.f64 (.f64 1/2 (+.f64 eps (fma.f64 x 2 eps)))))
(-.f64 (cos.f64 (neg.f64 x)) (cos.f64 (+.f64 eps x)))
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(-.f64 (cos.f64 (fma.f64 1/2 x (fma.f64 -1/2 (fma.f64 2 x eps) (.f64 1/2 (-.f64 eps x))))) (cos.f64 (.f64 1/2 (+.f64 eps (fma.f64 2 x eps)))))
(-.f64 (cos.f64 (fma.f64 -1/2 (fma.f64 x 2 eps) (fma.f64 1/2 (-.f64 eps x) (.f64 1/2 x)))) (cos.f64 (.f64 1/2 (+.f64 eps (fma.f64 x 2 eps)))))
(-.f64 (cos.f64 (neg.f64 x)) (cos.f64 (+.f64 eps x)))
(-.f64 (cos.f64 (+.f64 (.f64 1/2 x) (+.f64 (.f64 -1/2 (fma.f64 2 x eps)) (.f64 1/2 (-.f64 eps x))))) (cos.f64 (+.f64 (.f64 1/2 (+.f64 eps (.f64 2 x))) (.f64 1/2 eps))))
(-.f64 (cos.f64 (fma.f64 1/2 x (fma.f64 -1/2 (fma.f64 2 x eps) (.f64 1/2 (-.f64 eps x))))) (cos.f64 (.f64 1/2 (+.f64 eps (fma.f64 2 x eps)))))
(-.f64 (cos.f64 (fma.f64 -1/2 (fma.f64 x 2 eps) (fma.f64 1/2 (-.f64 eps x) (.f64 1/2 x)))) (cos.f64 (.f64 1/2 (+.f64 eps (fma.f64 x 2 eps)))))
(-.f64 (cos.f64 (neg.f64 x)) (cos.f64 (+.f64 eps x)))
(-.f64 (cos.f64 (+.f64 (.f64 1/2 x) (+.f64 (.f64 -1/2 (fma.f64 2 x eps)) (.f64 1/2 (-.f64 eps x))))) (cos.f64 (+.f64 (.f64 1/2 (+.f64 eps (.f64 2 x))) (.f64 1/2 eps))))
(-.f64 (cos.f64 (fma.f64 1/2 x (fma.f64 -1/2 (fma.f64 2 x eps) (.f64 1/2 (-.f64 eps x))))) (cos.f64 (.f64 1/2 (+.f64 eps (fma.f64 2 x eps)))))
(-.f64 (cos.f64 (fma.f64 -1/2 (fma.f64 x 2 eps) (fma.f64 1/2 (-.f64 eps x) (.f64 1/2 x)))) (cos.f64 (.f64 1/2 (+.f64 eps (fma.f64 x 2 eps)))))
(-.f64 (cos.f64 (neg.f64 x)) (cos.f64 (+.f64 eps x)))
(-.f64 (cos.f64 (-.f64 (+.f64 (.f64 -1/2 (fma.f64 2 x eps)) (.f64 1/2 (+.f64 eps (.f64 -1 x)))) (.f64 -1/2 x))) (cos.f64 (+.f64 (.f64 1/2 (-.f64 eps (.f64 -2 x))) (*.f64 1/2 eps))))
(-.f64 (cos.f64 (fma.f64 1/2 x (fma.f64 -1/2 (fma.f64 2 x eps) (.f64 1/2 (-.f64 eps x))))) (cos.f64 (.f64 1/2 (+.f64 eps (fma.f64 2 x eps)))))
(-.f64 (cos.f64 (fma.f64 -1/2 (fma.f64 x 2 eps) (fma.f64 1/2 (-.f64 eps x) (.f64 1/2 x)))) (cos.f64 (.f64 1/2 (+.f64 eps (fma.f64 x 2 eps)))))
(-.f64 (cos.f64 (neg.f64 x)) (cos.f64 (+.f64 eps x)))
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(-.f64 (cos.f64 (fma.f64 1/2 x (fma.f64 -1/2 (fma.f64 2 x eps) (.f64 1/2 (-.f64 eps x))))) (cos.f64 (.f64 1/2 (+.f64 eps (fma.f64 2 x eps)))))
(-.f64 (cos.f64 (fma.f64 -1/2 (fma.f64 x 2 eps) (fma.f64 1/2 (-.f64 eps x) (.f64 1/2 x)))) (cos.f64 (.f64 1/2 (+.f64 eps (fma.f64 x 2 eps)))))
(-.f64 (cos.f64 (neg.f64 x)) (cos.f64 (+.f64 eps x)))
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(-.f64 (cos.f64 (fma.f64 1/2 x (fma.f64 -1/2 (fma.f64 2 x eps) (.f64 1/2 (-.f64 eps x))))) (cos.f64 (.f64 1/2 (+.f64 eps (fma.f64 2 x eps)))))
(-.f64 (cos.f64 (fma.f64 -1/2 (fma.f64 x 2 eps) (fma.f64 1/2 (-.f64 eps x) (.f64 1/2 x)))) (cos.f64 (.f64 1/2 (+.f64 eps (fma.f64 x 2 eps)))))
(-.f64 (cos.f64 (neg.f64 x)) (cos.f64 (+.f64 eps x)))
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(-.f64 (cos.f64 (fma.f64 1/2 x (fma.f64 -1/2 (fma.f64 2 x eps) (.f64 1/2 (-.f64 eps x))))) (cos.f64 (.f64 1/2 (+.f64 eps (fma.f64 2 x eps)))))
(-.f64 (cos.f64 (fma.f64 -1/2 (fma.f64 x 2 eps) (fma.f64 1/2 (-.f64 eps x) (.f64 1/2 x)))) (cos.f64 (.f64 1/2 (+.f64 eps (fma.f64 x 2 eps)))))
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(/.f64 (.f64 1/8 (+.f64 (pow.f64 (fma.f64 x 2 eps) 3) (pow.f64 (-.f64 eps x) 3))) (fma.f64 (-.f64 eps x) (.f64 1/2 (fma.f64 1/2 (-.f64 eps x) (.f64 1/2 (fma.f64 x 2 eps)))) (.f64 1/4 (pow.f64 (fma.f64 x 2 eps) 2))))
(.f64 1/8 (/.f64 (+.f64 (pow.f64 (fma.f64 x 2 eps) 3) (pow.f64 (-.f64 eps x) 3)) (fma.f64 (-.f64 eps x) (.f64 1/2 (+.f64 (.f64 -1/2 x) (+.f64 eps x))) (.f64 1/4 (pow.f64 (fma.f64 x 2 eps) 2)))))
(pow.f64 (fma.f64 (fma.f64 2 x eps) -1/2 (*.f64 (-.f64 eps x) 1/2)) 1)
(fma.f64 -3/2 x (*.f64 eps 0))
(fma.f64 -3/2 x 0)
(*.f64 -3/2 x)
(sqrt.f64 (pow.f64 (fma.f64 (fma.f64 2 x eps) -1/2 (*.f64 (-.f64 eps x) 1/2)) 2))
(sqrt.f64 (pow.f64 (fma.f64 -1/2 (fma.f64 2 x eps) (*.f64 1/2 (-.f64 eps x))) 2))
(fabs.f64 (fma.f64 -1/2 (fma.f64 x 2 eps) (*.f64 1/2 (-.f64 eps x))))
(fabs.f64 (*.f64 -3/2 x))
(log.f64 (exp.f64 (fma.f64 (fma.f64 2 x eps) -1/2 (*.f64 (-.f64 eps x) 1/2))))
(fma.f64 -3/2 x (*.f64 eps 0))
(fma.f64 -3/2 x 0)
(*.f64 -3/2 x)
(cbrt.f64 (pow.f64 (fma.f64 (fma.f64 2 x eps) -1/2 (*.f64 (-.f64 eps x) 1/2)) 3))
(fma.f64 -3/2 x (*.f64 eps 0))
(fma.f64 -3/2 x 0)
(*.f64 -3/2 x)
(expm1.f64 (log1p.f64 (fma.f64 (fma.f64 2 x eps) -1/2 (*.f64 (-.f64 eps x) 1/2))))
(fma.f64 -3/2 x (*.f64 eps 0))
(fma.f64 -3/2 x 0)
(*.f64 -3/2 x)
(exp.f64 (log.f64 (fma.f64 (fma.f64 2 x eps) -1/2 (*.f64 (-.f64 eps x) 1/2))))
(fma.f64 -3/2 x (*.f64 eps 0))
(fma.f64 -3/2 x 0)
(*.f64 -3/2 x)
(log1p.f64 (expm1.f64 (fma.f64 (fma.f64 2 x eps) -1/2 (*.f64 (-.f64 eps x) 1/2))))
(fma.f64 -3/2 x (*.f64 eps 0))
(fma.f64 -3/2 x 0)
(*.f64 -3/2 x)
(fma.f64 (fma.f64 2 x eps) -1/2 (*.f64 (-.f64 eps x) 1/2))
(fma.f64 -3/2 x (*.f64 eps 0))
(fma.f64 -3/2 x 0)
(*.f64 -3/2 x)
(+.f64 (cos.f64 (.f64 1/2 (+.f64 (fma.f64 2 x eps) (-.f64 eps 0)))) (neg.f64 (cos.f64 (.f64 1/2 (+.f64 (fma.f64 2 x eps) (-.f64 eps 0))))))
(*.f64 eps 0)
0
(+.f64 (cos.f64 (.f64 1/2 (+.f64 (fma.f64 2 x eps) (-.f64 eps 0)))) (.f64 (neg.f64 (cos.f64 (*.f64 1/2 (+.f64 (fma.f64 2 x eps) (-.f64 eps 0))))) 1))
(*.f64 eps 0)
0
(+.f64 (neg.f64 (cos.f64 (.f64 1/2 (+.f64 (fma.f64 2 x eps) (-.f64 eps 0))))) (cos.f64 (.f64 1/2 (+.f64 (fma.f64 2 x eps) (-.f64 eps 0)))))
(*.f64 eps 0)
0
(+.f64 (-.f64 (cos.f64 (.f64 1/2 (+.f64 (fma.f64 2 x eps) (-.f64 eps 0)))) (.f64 (cos.f64 (.f64 1/2 (-.f64 eps 0))) (cos.f64 (.f64 (fma.f64 2 x eps) -1/2)))) (.f64 (sin.f64 (.f64 1/2 (-.f64 eps 0))) (sin.f64 (*.f64 (fma.f64 2 x eps) -1/2))))
(+.f64 (-.f64 (cos.f64 (.f64 1/2 (+.f64 eps (fma.f64 2 x eps)))) (.f64 (cos.f64 (.f64 eps 1/2)) (cos.f64 (.f64 -1/2 (fma.f64 2 x eps))))) (.f64 (sin.f64 (.f64 eps 1/2)) (sin.f64 (*.f64 -1/2 (fma.f64 2 x eps)))))
(fma.f64 (sin.f64 (.f64 eps 1/2)) (sin.f64 (.f64 -1/2 (fma.f64 x 2 eps))) (-.f64 (cos.f64 (.f64 1/2 (+.f64 eps (fma.f64 x 2 eps)))) (.f64 (cos.f64 (.f64 eps 1/2)) (cos.f64 (.f64 -1/2 (fma.f64 x 2 eps))))))
(fma.f64 (sin.f64 (.f64 eps 1/2)) (sin.f64 (-.f64 (.f64 -1/2 eps) x)) (-.f64 (cos.f64 (+.f64 eps x)) (.f64 (cos.f64 (.f64 eps 1/2)) (cos.f64 (-.f64 (*.f64 -1/2 eps) x)))))
(.f64 (-.f64 (cos.f64 (.f64 1/2 (+.f64 (fma.f64 2 x eps) (-.f64 eps 0)))) (cos.f64 (*.f64 1/2 (+.f64 (fma.f64 2 x eps) (-.f64 eps 0))))) 1)
(*.f64 eps 0)
0
(.f64 1 (-.f64 (cos.f64 (.f64 1/2 (+.f64 (fma.f64 2 x eps) (-.f64 eps 0)))) (cos.f64 (*.f64 1/2 (+.f64 (fma.f64 2 x eps) (-.f64 eps 0))))))
(*.f64 eps 0)
0
(.f64 (sqrt.f64 (-.f64 (cos.f64 (.f64 1/2 (+.f64 (fma.f64 2 x eps) (-.f64 eps 0)))) (cos.f64 (.f64 1/2 (+.f64 (fma.f64 2 x eps) (-.f64 eps 0)))))) (sqrt.f64 (-.f64 (cos.f64 (.f64 1/2 (+.f64 (fma.f64 2 x eps) (-.f64 eps 0)))) (cos.f64 (*.f64 1/2 (+.f64 (fma.f64 2 x eps) (-.f64 eps 0)))))))
(*.f64 eps 0)
0
(.f64 (cbrt.f64 (-.f64 (cos.f64 (.f64 1/2 (+.f64 (fma.f64 2 x eps) (-.f64 eps 0)))) (cos.f64 (.f64 1/2 (+.f64 (fma.f64 2 x eps) (-.f64 eps 0)))))) (cbrt.f64 (pow.f64 (-.f64 (cos.f64 (.f64 1/2 (+.f64 (fma.f64 2 x eps) (-.f64 eps 0)))) (cos.f64 (*.f64 1/2 (+.f64 (fma.f64 2 x eps) (-.f64 eps 0))))) 2)))
(*.f64 (cbrt.f64 0) (cbrt.f64 0))
(.f64 (cbrt.f64 (pow.f64 (-.f64 (cos.f64 (.f64 1/2 (+.f64 (fma.f64 2 x eps) (-.f64 eps 0)))) (cos.f64 (.f64 1/2 (+.f64 (fma.f64 2 x eps) (-.f64 eps 0))))) 2)) (cbrt.f64 (-.f64 (cos.f64 (.f64 1/2 (+.f64 (fma.f64 2 x eps) (-.f64 eps 0)))) (cos.f64 (*.f64 1/2 (+.f64 (fma.f64 2 x eps) (-.f64 eps 0)))))))
(*.f64 (cbrt.f64 0) (cbrt.f64 0))
(.f64 (-.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 (fma.f64 2 x eps) (-.f64 eps 0)))) 2) (pow.f64 (cos.f64 (.f64 1/2 (+.f64 (fma.f64 2 x eps) (-.f64 eps 0)))) 2)) (/.f64 1 (+.f64 (cos.f64 (.f64 1/2 (+.f64 (fma.f64 2 x eps) (-.f64 eps 0)))) (cos.f64 (*.f64 1/2 (+.f64 (fma.f64 2 x eps) (-.f64 eps 0)))))))
(*.f64 eps 0)
0
(.f64 (-.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 (fma.f64 2 x eps) (-.f64 eps 0)))) 3) (pow.f64 (cos.f64 (.f64 1/2 (+.f64 (fma.f64 2 x eps) (-.f64 eps 0)))) 3)) (/.f64 1 (+.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 (fma.f64 2 x eps) (-.f64 eps 0)))) 2) (+.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 (fma.f64 2 x eps) (-.f64 eps 0)))) 2) (pow.f64 (cos.f64 (.f64 1/2 (+.f64 (fma.f64 2 x eps) (-.f64 eps 0)))) 2)))))
(*.f64 eps 0)
0
(.f64 -2 (.f64 (sin.f64 (.f64 (+.f64 (.f64 1/2 (+.f64 (fma.f64 2 x eps) (-.f64 eps 0))) (.f64 -1/2 (+.f64 (fma.f64 2 x eps) (-.f64 eps 0)))) 1/2)) (sin.f64 (.f64 (+.f64 (.f64 1/2 (+.f64 (fma.f64 2 x eps) (-.f64 eps 0))) (.f64 1/2 (+.f64 (fma.f64 2 x eps) (-.f64 eps 0)))) 1/2))))
(.f64 -2 (.f64 (sin.f64 (.f64 1/2 (.f64 (+.f64 eps (fma.f64 2 x eps)) 0))) (sin.f64 (.f64 1/2 (.f64 (+.f64 eps (fma.f64 2 x eps)) 1)))))
(.f64 (sin.f64 0) (.f64 -2 (sin.f64 (*.f64 1/2 (+.f64 eps (fma.f64 x 2 eps))))))
(.f64 (sin.f64 0) (.f64 -2 (sin.f64 (+.f64 eps x))))
(.f64 (.f64 (sin.f64 (.f64 (+.f64 (.f64 1/2 (+.f64 (fma.f64 2 x eps) (-.f64 eps 0))) (.f64 -1/2 (+.f64 (fma.f64 2 x eps) (-.f64 eps 0)))) 1/2)) (sin.f64 (.f64 (+.f64 (.f64 1/2 (+.f64 (fma.f64 2 x eps) (-.f64 eps 0))) (.f64 1/2 (+.f64 (fma.f64 2 x eps) (-.f64 eps 0)))) 1/2))) -2)
(.f64 -2 (.f64 (sin.f64 (.f64 1/2 (.f64 (+.f64 eps (fma.f64 2 x eps)) 0))) (sin.f64 (.f64 1/2 (.f64 (+.f64 eps (fma.f64 2 x eps)) 1)))))
(.f64 (sin.f64 0) (.f64 -2 (sin.f64 (*.f64 1/2 (+.f64 eps (fma.f64 x 2 eps))))))
(.f64 (sin.f64 0) (.f64 -2 (sin.f64 (+.f64 eps x))))
(.f64 (.f64 -2 (sin.f64 (.f64 (+.f64 (.f64 1/2 (+.f64 (fma.f64 2 x eps) (-.f64 eps 0))) (.f64 -1/2 (+.f64 (fma.f64 2 x eps) (-.f64 eps 0)))) 1/2))) (sin.f64 (.f64 (+.f64 (.f64 1/2 (+.f64 (fma.f64 2 x eps) (-.f64 eps 0))) (.f64 1/2 (+.f64 (fma.f64 2 x eps) (-.f64 eps 0)))) 1/2)))
(.f64 -2 (.f64 (sin.f64 (.f64 1/2 (.f64 (+.f64 eps (fma.f64 2 x eps)) 0))) (sin.f64 (.f64 1/2 (.f64 (+.f64 eps (fma.f64 2 x eps)) 1)))))
(.f64 (sin.f64 0) (.f64 -2 (sin.f64 (*.f64 1/2 (+.f64 eps (fma.f64 x 2 eps))))))
(.f64 (sin.f64 0) (.f64 -2 (sin.f64 (+.f64 eps x))))
(.f64 (+.f64 (sqrt.f64 (cos.f64 (.f64 1/2 (+.f64 (fma.f64 2 x eps) (-.f64 eps 0))))) (sqrt.f64 (cos.f64 (.f64 1/2 (+.f64 (fma.f64 2 x eps) (-.f64 eps 0)))))) (-.f64 (sqrt.f64 (cos.f64 (.f64 1/2 (+.f64 (fma.f64 2 x eps) (-.f64 eps 0))))) (sqrt.f64 (cos.f64 (*.f64 1/2 (+.f64 (fma.f64 2 x eps) (-.f64 eps 0)))))))
(*.f64 eps 0)
0
(/.f64 1 (/.f64 (+.f64 (cos.f64 (.f64 1/2 (+.f64 (fma.f64 2 x eps) (-.f64 eps 0)))) (cos.f64 (.f64 1/2 (+.f64 (fma.f64 2 x eps) (-.f64 eps 0))))) (-.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 (fma.f64 2 x eps) (-.f64 eps 0)))) 2) (pow.f64 (cos.f64 (.f64 1/2 (+.f64 (fma.f64 2 x eps) (-.f64 eps 0)))) 2))))
(*.f64 eps 0)
0
(/.f64 1 (/.f64 (+.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 (fma.f64 2 x eps) (-.f64 eps 0)))) 2) (+.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 (fma.f64 2 x eps) (-.f64 eps 0)))) 2) (pow.f64 (cos.f64 (.f64 1/2 (+.f64 (fma.f64 2 x eps) (-.f64 eps 0)))) 2))) (-.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 (fma.f64 2 x eps) (-.f64 eps 0)))) 3) (pow.f64 (cos.f64 (*.f64 1/2 (+.f64 (fma.f64 2 x eps) (-.f64 eps 0)))) 3))))
(*.f64 eps 0)
0
(/.f64 (-.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 (fma.f64 2 x eps) (-.f64 eps 0)))) 2) (pow.f64 (cos.f64 (.f64 1/2 (+.f64 (fma.f64 2 x eps) (-.f64 eps 0)))) 2)) (+.f64 (cos.f64 (.f64 1/2 (+.f64 (fma.f64 2 x eps) (-.f64 eps 0)))) (cos.f64 (.f64 1/2 (+.f64 (fma.f64 2 x eps) (-.f64 eps 0))))))
(*.f64 eps 0)
0
(/.f64 (-.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 (fma.f64 2 x eps) (-.f64 eps 0)))) 3) (pow.f64 (cos.f64 (.f64 1/2 (+.f64 (fma.f64 2 x eps) (-.f64 eps 0)))) 3)) (+.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 (fma.f64 2 x eps) (-.f64 eps 0)))) 2) (+.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 (fma.f64 2 x eps) (-.f64 eps 0)))) 2) (pow.f64 (cos.f64 (*.f64 1/2 (+.f64 (fma.f64 2 x eps) (-.f64 eps 0)))) 2))))
(*.f64 eps 0)
0
(/.f64 (-.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 (fma.f64 2 x eps) (-.f64 eps 0)))) 2) (.f64 (neg.f64 (cos.f64 (.f64 1/2 (+.f64 (fma.f64 2 x eps) (-.f64 eps 0))))) (neg.f64 (cos.f64 (.f64 1/2 (+.f64 (fma.f64 2 x eps) (-.f64 eps 0))))))) (-.f64 (cos.f64 (.f64 1/2 (+.f64 (fma.f64 2 x eps) (-.f64 eps 0)))) (neg.f64 (cos.f64 (.f64 1/2 (+.f64 (fma.f64 2 x eps) (-.f64 eps 0)))))))
(*.f64 eps 0)
0
(/.f64 (+.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 (fma.f64 2 x eps) (-.f64 eps 0)))) 3) (pow.f64 (neg.f64 (cos.f64 (.f64 1/2 (+.f64 (fma.f64 2 x eps) (-.f64 eps 0))))) 3)) (+.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 (fma.f64 2 x eps) (-.f64 eps 0)))) 2) (-.f64 (.f64 (neg.f64 (cos.f64 (.f64 1/2 (+.f64 (fma.f64 2 x eps) (-.f64 eps 0))))) (neg.f64 (cos.f64 (.f64 1/2 (+.f64 (fma.f64 2 x eps) (-.f64 eps 0)))))) (.f64 (cos.f64 (.f64 1/2 (+.f64 (fma.f64 2 x eps) (-.f64 eps 0)))) (neg.f64 (cos.f64 (*.f64 1/2 (+.f64 (fma.f64 2 x eps) (-.f64 eps 0)))))))))
(*.f64 eps 0)
0
(/.f64 (neg.f64 (-.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 (fma.f64 2 x eps) (-.f64 eps 0)))) 2) (pow.f64 (cos.f64 (.f64 1/2 (+.f64 (fma.f64 2 x eps) (-.f64 eps 0)))) 2))) (neg.f64 (+.f64 (cos.f64 (.f64 1/2 (+.f64 (fma.f64 2 x eps) (-.f64 eps 0)))) (cos.f64 (.f64 1/2 (+.f64 (fma.f64 2 x eps) (-.f64 eps 0)))))))
(*.f64 eps 0)
0
(/.f64 (neg.f64 (-.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 (fma.f64 2 x eps) (-.f64 eps 0)))) 3) (pow.f64 (cos.f64 (.f64 1/2 (+.f64 (fma.f64 2 x eps) (-.f64 eps 0)))) 3))) (neg.f64 (+.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 (fma.f64 2 x eps) (-.f64 eps 0)))) 2) (+.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 (fma.f64 2 x eps) (-.f64 eps 0)))) 2) (pow.f64 (cos.f64 (*.f64 1/2 (+.f64 (fma.f64 2 x eps) (-.f64 eps 0)))) 2)))))
(*.f64 eps 0)
0
(pow.f64 (-.f64 (cos.f64 (.f64 1/2 (+.f64 (fma.f64 2 x eps) (-.f64 eps 0)))) (cos.f64 (.f64 1/2 (+.f64 (fma.f64 2 x eps) (-.f64 eps 0))))) 1)
(*.f64 eps 0)
0
(sqrt.f64 (pow.f64 (-.f64 (cos.f64 (.f64 1/2 (+.f64 (fma.f64 2 x eps) (-.f64 eps 0)))) (cos.f64 (.f64 1/2 (+.f64 (fma.f64 2 x eps) (-.f64 eps 0))))) 2))
(sqrt.f64 0)
(log.f64 (exp.f64 (-.f64 (cos.f64 (.f64 1/2 (+.f64 (fma.f64 2 x eps) (-.f64 eps 0)))) (cos.f64 (.f64 1/2 (+.f64 (fma.f64 2 x eps) (-.f64 eps 0)))))))
(*.f64 eps 0)
0
(cbrt.f64 (.f64 (-.f64 (cos.f64 (.f64 1/2 (+.f64 (fma.f64 2 x eps) (-.f64 eps 0)))) (cos.f64 (.f64 1/2 (+.f64 (fma.f64 2 x eps) (-.f64 eps 0))))) (pow.f64 (-.f64 (cos.f64 (.f64 1/2 (+.f64 (fma.f64 2 x eps) (-.f64 eps 0)))) (cos.f64 (*.f64 1/2 (+.f64 (fma.f64 2 x eps) (-.f64 eps 0))))) 2)))
(cbrt.f64 0)
(expm1.f64 (log1p.f64 (-.f64 (cos.f64 (.f64 1/2 (+.f64 (fma.f64 2 x eps) (-.f64 eps 0)))) (cos.f64 (.f64 1/2 (+.f64 (fma.f64 2 x eps) (-.f64 eps 0)))))))
(*.f64 eps 0)
0
(exp.f64 (log.f64 (-.f64 (cos.f64 (.f64 1/2 (+.f64 (fma.f64 2 x eps) (-.f64 eps 0)))) (cos.f64 (.f64 1/2 (+.f64 (fma.f64 2 x eps) (-.f64 eps 0)))))))
(*.f64 eps 0)
0
(log1p.f64 (expm1.f64 (-.f64 (cos.f64 (.f64 1/2 (+.f64 (fma.f64 2 x eps) (-.f64 eps 0)))) (cos.f64 (.f64 1/2 (+.f64 (fma.f64 2 x eps) (-.f64 eps 0)))))))
(*.f64 eps 0)
0

localize18.0ms (0.1%)

Local error

Found 3 expressions with local error:

New

Error

Program

✓

0.21%

(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps))))

✓

0.34%

(*.f64 (sin.f64 x) (sin.f64 eps))

✓

3.26%

(-.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps)))) (cos.f64 x))

Compiler

Compiled 48 to 10 computations (79.2% saved)

series2.0ms (0%)

Counts

3 → 56

Calls

18 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(-.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps)))) (cos.f64 x))
0.0ms	x	@	0	(*.f64 (sin.f64 x) (sin.f64 eps))
0.0ms	eps	@	-inf	(-.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps)))) (cos.f64 x))
0.0ms	eps	@	inf	(-.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps)))) (cos.f64 x))
0.0ms	x	@	inf	(-.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps)))) (cos.f64 x))

rewrite113.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

918×	`associate-*r/`
784×	`distribute-rgt-in`
754×	`associate-*l/`
742×	`distribute-lft-in`
322×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	95
1	298	47
2	4036	47

Stop Event

1×	node limit

Counts

3 → 294

Calls

Call 1

Inputs

(-.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps)))) (cos.f64 x))

(*.f64 (sin.f64 x) (sin.f64 eps))

(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps))))

Outputs

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(#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cos.f64 (-.f64 x eps))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cos.f64 (-.f64 x eps))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cos.f64 (-.f64 x eps))))))))

simplify106.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

854×	`associate-r`
850×	`associate-/l*`
692×	`associate-l`
642×	`associate-/r*`
538×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	752	4722
1	2126	4722

Stop Event

1×	node limit

Counts

350 → 346

Calls

Call 1

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

Outputs
(-.f64 (cos.f64 eps) 1)
(+.f64 (cos.f64 eps) -1)
(-.f64 (+.f64 (cos.f64 eps) (.f64 -1 (.f64 x (sin.f64 eps)))) 1)
(+.f64 (+.f64 (cos.f64 eps) (neg.f64 (*.f64 x (sin.f64 eps)))) -1)
(-.f64 (+.f64 (cos.f64 eps) (+.f64 (.f64 -1 (.f64 x (sin.f64 eps))) (.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2)))) 1)
(+.f64 (cos.f64 eps) (-.f64 (fma.f64 -1 (.f64 x (sin.f64 eps)) (.f64 (+.f64 1/2 (.f64 (cos.f64 eps) -1/2)) (.f64 x x))) 1))
(-.f64 (+.f64 (cos.f64 eps) (+.f64 (.f64 1/6 (.f64 (pow.f64 x 3) (sin.f64 eps))) (+.f64 (.f64 -1 (.f64 x (sin.f64 eps))) (.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2))))) 1)
(+.f64 (cos.f64 eps) (-.f64 (fma.f64 1/6 (.f64 (sin.f64 eps) (pow.f64 x 3)) (fma.f64 -1 (.f64 x (sin.f64 eps)) (.f64 (+.f64 1/2 (.f64 (cos.f64 eps) -1/2)) (*.f64 x x)))) 1))
(-.f64 (.f64 (cos.f64 eps) (cos.f64 x)) (+.f64 (cos.f64 x) (.f64 (sin.f64 x) (sin.f64 eps))))
(+.f64 (cos.f64 eps) -1)
(-.f64 (.f64 (cos.f64 eps) (cos.f64 x)) (+.f64 (cos.f64 x) (.f64 (sin.f64 x) (sin.f64 eps))))
(+.f64 (cos.f64 eps) -1)
(-.f64 (.f64 (cos.f64 eps) (cos.f64 x)) (+.f64 (cos.f64 x) (.f64 (sin.f64 x) (sin.f64 eps))))
(+.f64 (cos.f64 eps) -1)
(-.f64 (.f64 (cos.f64 eps) (cos.f64 x)) (+.f64 (cos.f64 x) (.f64 (sin.f64 x) (sin.f64 eps))))
(+.f64 (cos.f64 eps) -1)
(-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (.f64 (sin.f64 x) (sin.f64 eps))))
(+.f64 (cos.f64 eps) -1)
(-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (.f64 (sin.f64 x) (sin.f64 eps))))
(+.f64 (cos.f64 eps) -1)
(-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (.f64 (sin.f64 x) (sin.f64 eps))))
(+.f64 (cos.f64 eps) -1)
(-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (.f64 (sin.f64 x) (sin.f64 eps))))
(+.f64 (cos.f64 eps) -1)
(.f64 -1 (.f64 eps (sin.f64 x)))
(neg.f64 (*.f64 eps (sin.f64 x)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (.f64 -1 (.f64 eps (sin.f64 x))))
(fma.f64 -1/2 (.f64 (cos.f64 x) (.f64 eps eps)) (neg.f64 (*.f64 eps (sin.f64 x))))
(+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) (sin.f64 x))) (+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (.f64 -1 (.f64 eps (sin.f64 x)))))
(fma.f64 1/6 (.f64 (sin.f64 x) (pow.f64 eps 3)) (fma.f64 -1/2 (.f64 (cos.f64 x) (.f64 eps eps)) (neg.f64 (.f64 eps (sin.f64 x)))))
(+.f64 (.f64 1/24 (.f64 (pow.f64 eps 4) (cos.f64 x))) (+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) (sin.f64 x))) (+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (.f64 -1 (.f64 eps (sin.f64 x))))))
(fma.f64 1/24 (.f64 (cos.f64 x) (pow.f64 eps 4)) (fma.f64 1/6 (.f64 (sin.f64 x) (pow.f64 eps 3)) (fma.f64 -1/2 (.f64 (cos.f64 x) (.f64 eps eps)) (neg.f64 (*.f64 eps (sin.f64 x))))))
(-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (.f64 (sin.f64 x) (sin.f64 eps))))
(+.f64 (cos.f64 eps) -1)
(-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (.f64 (sin.f64 x) (sin.f64 eps))))
(+.f64 (cos.f64 eps) -1)
(-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (.f64 (sin.f64 x) (sin.f64 eps))))
(+.f64 (cos.f64 eps) -1)
(-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (.f64 (sin.f64 x) (sin.f64 eps))))
(+.f64 (cos.f64 eps) -1)
(-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (.f64 (sin.f64 x) (sin.f64 eps))))
(+.f64 (cos.f64 eps) -1)
(-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (.f64 (sin.f64 x) (sin.f64 eps))))
(+.f64 (cos.f64 eps) -1)
(-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (.f64 (sin.f64 x) (sin.f64 eps))))
(+.f64 (cos.f64 eps) -1)
(-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (.f64 (sin.f64 x) (sin.f64 eps))))
(+.f64 (cos.f64 eps) -1)
(*.f64 (sin.f64 eps) x)
(*.f64 x (sin.f64 eps))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 x 3) (sin.f64 eps))) (*.f64 (sin.f64 eps) x))
(fma.f64 -1/6 (.f64 (sin.f64 eps) (pow.f64 x 3)) (.f64 x (sin.f64 eps)))
(+.f64 (.f64 1/120 (.f64 (pow.f64 x 5) (sin.f64 eps))) (+.f64 (.f64 -1/6 (.f64 (pow.f64 x 3) (sin.f64 eps))) (*.f64 (sin.f64 eps) x)))
(fma.f64 1/120 (.f64 (sin.f64 eps) (pow.f64 x 5)) (fma.f64 -1/6 (.f64 (sin.f64 eps) (pow.f64 x 3)) (*.f64 x (sin.f64 eps))))
(+.f64 (.f64 1/120 (.f64 (pow.f64 x 5) (sin.f64 eps))) (+.f64 (.f64 -1/6 (.f64 (pow.f64 x 3) (sin.f64 eps))) (+.f64 (.f64 -1/5040 (.f64 (pow.f64 x 7) (sin.f64 eps))) (*.f64 (sin.f64 eps) x))))
(fma.f64 1/120 (.f64 (sin.f64 eps) (pow.f64 x 5)) (fma.f64 -1/6 (.f64 (sin.f64 eps) (pow.f64 x 3)) (fma.f64 -1/5040 (.f64 (sin.f64 eps) (pow.f64 x 7)) (.f64 x (sin.f64 eps)))))
(*.f64 eps (sin.f64 x))
(neg.f64 (*.f64 eps (sin.f64 x)))
(+.f64 (.f64 eps (sin.f64 x)) (.f64 -1/6 (*.f64 (pow.f64 eps 3) (sin.f64 x))))
(fma.f64 eps (sin.f64 x) (.f64 (.f64 (sin.f64 x) (pow.f64 eps 3)) -1/6))
(+.f64 (.f64 eps (sin.f64 x)) (+.f64 (.f64 1/120 (.f64 (pow.f64 eps 5) (sin.f64 x))) (.f64 -1/6 (*.f64 (pow.f64 eps 3) (sin.f64 x)))))
(fma.f64 eps (sin.f64 x) (fma.f64 1/120 (.f64 (sin.f64 x) (pow.f64 eps 5)) (.f64 (*.f64 (sin.f64 x) (pow.f64 eps 3)) -1/6)))
(+.f64 (.f64 -1/5040 (.f64 (pow.f64 eps 7) (sin.f64 x))) (+.f64 (.f64 eps (sin.f64 x)) (+.f64 (.f64 1/120 (.f64 (pow.f64 eps 5) (sin.f64 x))) (.f64 -1/6 (*.f64 (pow.f64 eps 3) (sin.f64 x))))))
(fma.f64 -1/5040 (.f64 (sin.f64 x) (pow.f64 eps 7)) (fma.f64 eps (sin.f64 x) (fma.f64 1/120 (.f64 (sin.f64 x) (pow.f64 eps 5)) (.f64 (.f64 (sin.f64 x) (pow.f64 eps 3)) -1/6))))
(cos.f64 eps)
(+.f64 (cos.f64 eps) -1)
(+.f64 (cos.f64 eps) (.f64 -1 (.f64 x (sin.f64 eps))))
(+.f64 (+.f64 (cos.f64 eps) (neg.f64 (*.f64 x (sin.f64 eps)))) -1)
(+.f64 (cos.f64 eps) (+.f64 (.f64 -1/2 (.f64 (cos.f64 eps) (pow.f64 x 2))) (.f64 -1 (.f64 x (sin.f64 eps)))))
(+.f64 (cos.f64 eps) (-.f64 (fma.f64 -1 (.f64 x (sin.f64 eps)) (.f64 (+.f64 1/2 (.f64 (cos.f64 eps) -1/2)) (.f64 x x))) 1))
(+.f64 (cos.f64 eps) (+.f64 (.f64 1/6 (.f64 (pow.f64 x 3) (sin.f64 eps))) (+.f64 (.f64 -1/2 (.f64 (cos.f64 eps) (pow.f64 x 2))) (.f64 -1 (.f64 x (sin.f64 eps))))))
(+.f64 (cos.f64 eps) (-.f64 (fma.f64 1/6 (.f64 (sin.f64 eps) (pow.f64 x 3)) (fma.f64 -1 (.f64 x (sin.f64 eps)) (.f64 (+.f64 1/2 (.f64 (cos.f64 eps) -1/2)) (*.f64 x x)))) 1))
(-.f64 (.f64 (cos.f64 eps) (cos.f64 x)) (.f64 (sin.f64 x) (sin.f64 eps)))
(+.f64 (cos.f64 eps) -1)
(-.f64 (.f64 (cos.f64 eps) (cos.f64 x)) (.f64 (sin.f64 x) (sin.f64 eps)))
(+.f64 (cos.f64 eps) -1)
(-.f64 (.f64 (cos.f64 eps) (cos.f64 x)) (.f64 (sin.f64 x) (sin.f64 eps)))
(+.f64 (cos.f64 eps) -1)
(-.f64 (.f64 (cos.f64 eps) (cos.f64 x)) (.f64 (sin.f64 x) (sin.f64 eps)))
(+.f64 (cos.f64 eps) -1)
(-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (.f64 (sin.f64 x) (sin.f64 eps)))
(+.f64 (cos.f64 eps) -1)
(-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (.f64 (sin.f64 x) (sin.f64 eps)))
(+.f64 (cos.f64 eps) -1)
(-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (.f64 (sin.f64 x) (sin.f64 eps)))
(+.f64 (cos.f64 eps) -1)
(-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (.f64 (sin.f64 x) (sin.f64 eps)))
(+.f64 (cos.f64 eps) -1)
(cos.f64 x)
(+.f64 (cos.f64 x) (.f64 -1 (.f64 eps (sin.f64 x))))
(+.f64 (cos.f64 x) (neg.f64 (*.f64 eps (sin.f64 x))))
(+.f64 (cos.f64 x) (+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (.f64 -1 (.f64 eps (sin.f64 x)))))
(+.f64 (cos.f64 x) (fma.f64 -1/2 (.f64 (cos.f64 x) (.f64 eps eps)) (neg.f64 (*.f64 eps (sin.f64 x)))))
(+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) (sin.f64 x))) (+.f64 (cos.f64 x) (+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (.f64 -1 (.f64 eps (sin.f64 x))))))
(fma.f64 1/6 (.f64 (sin.f64 x) (pow.f64 eps 3)) (+.f64 (cos.f64 x) (fma.f64 -1/2 (.f64 (cos.f64 x) (.f64 eps eps)) (neg.f64 (.f64 eps (sin.f64 x))))))
(-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (.f64 (sin.f64 x) (sin.f64 eps)))
(+.f64 (cos.f64 eps) -1)
(-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (.f64 (sin.f64 x) (sin.f64 eps)))
(+.f64 (cos.f64 eps) -1)
(-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (.f64 (sin.f64 x) (sin.f64 eps)))
(+.f64 (cos.f64 eps) -1)
(-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (.f64 (sin.f64 x) (sin.f64 eps)))
(+.f64 (cos.f64 eps) -1)
(-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (.f64 (sin.f64 x) (sin.f64 eps)))
(+.f64 (cos.f64 eps) -1)
(-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (.f64 (sin.f64 x) (sin.f64 eps)))
(+.f64 (cos.f64 eps) -1)
(-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (.f64 (sin.f64 x) (sin.f64 eps)))
(+.f64 (cos.f64 eps) -1)
(-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (.f64 (sin.f64 x) (sin.f64 eps)))
(+.f64 (cos.f64 eps) -1)
(+.f64 (.f64 (sin.f64 x) (sin.f64 eps)) (+.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (neg.f64 (cos.f64 x))))
(+.f64 (cos.f64 eps) -1)
(+.f64 (.f64 (sin.f64 x) (sin.f64 eps)) (+.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (neg.f64 (cos.f64 x)) 1)))
(+.f64 (cos.f64 eps) -1)
(+.f64 (.f64 (sin.f64 x) (sin.f64 eps)) (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (cos.f64 x)))
(+.f64 (cos.f64 eps) -1)
(+.f64 (cos.f64 (-.f64 x eps)) (neg.f64 (cos.f64 x)))
(cos.f64 x)
(+.f64 (cos.f64 (-.f64 x eps)) (*.f64 (neg.f64 (cos.f64 x)) 1))
(cos.f64 x)
(+.f64 (cos.f64 (-.f64 x eps)) (+.f64 (neg.f64 (cos.f64 x)) (fma.f64 (neg.f64 (cos.f64 x)) 1 (cos.f64 x))))
(cos.f64 x)
(+.f64 (cos.f64 (-.f64 x eps)) (+.f64 (*.f64 (neg.f64 (cos.f64 x)) 1) (fma.f64 (neg.f64 (cos.f64 x)) 1 (cos.f64 x))))
(cos.f64 x)
(+.f64 (cos.f64 (-.f64 x eps)) (+.f64 (neg.f64 (cos.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)) (cos.f64 x))))
(cos.f64 x)
(+.f64 (cos.f64 (-.f64 x eps)) (+.f64 (*.f64 (neg.f64 (cos.f64 x)) 1) (fma.f64 (neg.f64 (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)) (cos.f64 x))))
(cos.f64 x)
(+.f64 (cos.f64 (-.f64 x eps)) (+.f64 (neg.f64 (cos.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (cos.f64 x))) (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cos.f64 x))))
(cos.f64 x)
(+.f64 (cos.f64 (-.f64 x eps)) (+.f64 (*.f64 (neg.f64 (cos.f64 x)) 1) (fma.f64 (neg.f64 (cbrt.f64 (cos.f64 x))) (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cos.f64 x))))
(cos.f64 x)
(+.f64 (cos.f64 (-.f64 x eps)) (.f64 1 (.f64 (neg.f64 (cos.f64 x)) 1)))
(cos.f64 x)
(+.f64 (cos.f64 (-.f64 x eps)) (.f64 (.f64 (neg.f64 (cos.f64 x)) 1) 1))
(cos.f64 x)
(+.f64 (-.f64 (cos.f64 (-.f64 x eps)) (cos.f64 x)) (fma.f64 (neg.f64 (cos.f64 x)) 1 (cos.f64 x)))
(cos.f64 x)
(+.f64 (-.f64 (cos.f64 (-.f64 x eps)) (cos.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)) (cos.f64 x)))
(cos.f64 x)
(+.f64 (-.f64 (cos.f64 (-.f64 x eps)) (cos.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (cos.f64 x))) (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cos.f64 x)))
(cos.f64 x)
(+.f64 (-.f64 (cos.f64 (-.f64 x eps)) (cos.f64 x)) (+.f64 (fma.f64 (neg.f64 (cos.f64 x)) 1 (cos.f64 x)) (fma.f64 (neg.f64 (cos.f64 x)) 1 (cos.f64 x))))
(cos.f64 x)
(+.f64 (-.f64 (cos.f64 (-.f64 x eps)) (cos.f64 x)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)) (cos.f64 x)) (fma.f64 (neg.f64 (cos.f64 x)) 1 (cos.f64 x))))
(cos.f64 x)
(+.f64 (-.f64 (cos.f64 (-.f64 x eps)) (cos.f64 x)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (cos.f64 x))) (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cos.f64 x)) (fma.f64 (neg.f64 (cos.f64 x)) 1 (cos.f64 x))))
(cos.f64 x)
(+.f64 (-.f64 (cos.f64 (-.f64 x eps)) (cos.f64 x)) (+.f64 (fma.f64 (neg.f64 (cos.f64 x)) 1 (cos.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)) (cos.f64 x))))
(cos.f64 x)
(+.f64 (-.f64 (cos.f64 (-.f64 x eps)) (cos.f64 x)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)) (cos.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)) (cos.f64 x))))
(cos.f64 x)
(+.f64 (-.f64 (cos.f64 (-.f64 x eps)) (cos.f64 x)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (cos.f64 x))) (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cos.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)) (cos.f64 x))))
(cos.f64 x)
(+.f64 (-.f64 (cos.f64 (-.f64 x eps)) (cos.f64 x)) (+.f64 (fma.f64 (neg.f64 (cos.f64 x)) 1 (cos.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (cos.f64 x))) (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cos.f64 x))))
(cos.f64 x)
(+.f64 (-.f64 (cos.f64 (-.f64 x eps)) (cos.f64 x)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)) (cos.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (cos.f64 x))) (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cos.f64 x))))
(cos.f64 x)
(+.f64 (-.f64 (cos.f64 (-.f64 x eps)) (cos.f64 x)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (cos.f64 x))) (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cos.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (cos.f64 x))) (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cos.f64 x))))
(cos.f64 x)
(+.f64 (-.f64 (cos.f64 (-.f64 x eps)) (cos.f64 x)) (*.f64 1 (fma.f64 (neg.f64 (cos.f64 x)) 1 (cos.f64 x))))
(cos.f64 x)
(+.f64 (-.f64 (cos.f64 (-.f64 x eps)) (cos.f64 x)) (*.f64 1 (fma.f64 (neg.f64 (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)) (cos.f64 x))))
(cos.f64 x)
(+.f64 (-.f64 (cos.f64 (-.f64 x eps)) (cos.f64 x)) (*.f64 1 (fma.f64 (neg.f64 (cbrt.f64 (cos.f64 x))) (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cos.f64 x))))
(cos.f64 x)
(+.f64 (-.f64 (cos.f64 (-.f64 x eps)) (cos.f64 x)) (*.f64 (fma.f64 (neg.f64 (cos.f64 x)) 1 (cos.f64 x)) 1))
(cos.f64 x)
(+.f64 (-.f64 (cos.f64 (-.f64 x eps)) (cos.f64 x)) (*.f64 (fma.f64 (neg.f64 (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)) (cos.f64 x)) 1))
(cos.f64 x)
(+.f64 (-.f64 (cos.f64 (-.f64 x eps)) (cos.f64 x)) (*.f64 (fma.f64 (neg.f64 (cbrt.f64 (cos.f64 x))) (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cos.f64 x)) 1))
(cos.f64 x)
(+.f64 (neg.f64 (cos.f64 x)) (cos.f64 (-.f64 x eps)))
(cos.f64 x)
(+.f64 (neg.f64 (cos.f64 x)) (+.f64 (cos.f64 (-.f64 x eps)) (fma.f64 (neg.f64 (cos.f64 x)) 1 (cos.f64 x))))
(cos.f64 x)
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(cos.f64 x)

eval831.0ms (5.1%)

Compiler: Compiled 52891 to 29476 computations (44.3% saved)

prune496.0ms (3%)

Pruning

64 alts after pruning (57 fresh and 7 done)

	Pruned	Kept	Total
New	1532	12	1544
Fresh	9	45	54
Picked	0	1	1
Done	2	6	8
Total	1543	64	1607

Error

0.07%

Counts

1607 → 64

Alt Table

Click to see full alt table

Status	Error	Program
	64.29%	(fma.f64 (sqrt.f64 (.f64 (cos.f64 eps) (cos.f64 x))) (sqrt.f64 (.f64 (cos.f64 eps) (cos.f64 x))) (neg.f64 (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x))))
	39.11%	(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (+.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (cos.f64 x))))
	82.42%	(fma.f64 1/24 (pow.f64 eps 4) (.f64 -1/2 (.f64 eps eps)))
	96.25%	(pow.f64 (cbrt.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))) 3)
	63.76%	(pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 3)
	39.3%	(/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 x) (cos.f64 eps)) 3) (pow.f64 (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)) 3)) (+.f64 (pow.f64 (.f64 (cos.f64 x) (cos.f64 eps)) 2) (.f64 (neg.f64 (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x))) (-.f64 (neg.f64 (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x))) (.f64 (cos.f64 x) (cos.f64 eps))))))
	81.43%	(/.f64 (.f64 (-.f64 (cos.f64 (-.f64 (.f64 (/.f64 1 (/.f64 (+.f64 x (-.f64 x eps)) (-.f64 (.f64 x x) (pow.f64 (-.f64 eps x) 2)))) 1/2) (.f64 (+.f64 eps (+.f64 x x)) 1/2))) (cos.f64 (+.f64 (.f64 (+.f64 x (-.f64 eps x)) 1/2) (.f64 (+.f64 eps (+.f64 x x)) 1/2)))) -2) 2)
	87.4%	(/.f64 (.f64 (-.f64 (cos.f64 (-.f64 (.f64 (+.f64 x (-.f64 eps x)) 1/2) (*.f64 (+.f64 eps (+.f64 x x)) 1/2))) (cos.f64 x)) -2) 2)
	63.83%	(/.f64 (.f64 (-.f64 (cos.f64 (-.f64 (.f64 1/2 eps) (.f64 1/2 (-.f64 eps (.f64 -2 x))))) (cos.f64 (+.f64 (.f64 1/2 (-.f64 eps (.f64 -2 x))) (*.f64 1/2 eps)))) -2) 2)
	87.63%	(/.f64 (.f64 (-.f64 (cos.f64 (+.f64 (+.f64 (.f64 (fma.f64 2 x eps) -1/2) (.f64 (-.f64 eps x) 1/2)) (.f64 x 1/2))) (cos.f64 x)) -2) 2)
	63.95%	(/.f64 (.f64 (-.f64 (cos.f64 (+.f64 (+.f64 (.f64 -1/2 eps) (+.f64 (.f64 -3/2 x) (.f64 1/2 eps))) (.f64 x 1/2))) (cos.f64 (+.f64 (.f64 (+.f64 x (-.f64 eps x)) 1/2) (*.f64 (+.f64 eps (+.f64 x x)) 1/2)))) -2) 2)
	63.79%	(/.f64 (.f64 (-.f64 (cos.f64 (+.f64 (.f64 1/2 x) (+.f64 (.f64 -1/2 x) (.f64 -1 x)))) (cos.f64 (+.f64 (.f64 1/2 (+.f64 eps (.f64 2 x))) (*.f64 1/2 eps)))) -2) 2)
	88.26%	(/.f64 (.f64 (-.f64 (cos.f64 (+.f64 (.f64 1/2 x) (+.f64 (.f64 -1/2 x) (.f64 -1 x)))) (cos.f64 x)) -2) 2)
	64.07%	(/.f64 (.f64 (-.f64 (cos.f64 (+.f64 (fabs.f64 (.f64 -3/2 x)) (.f64 x 1/2))) (cos.f64 (+.f64 (.f64 (+.f64 x (-.f64 eps x)) 1/2) (*.f64 (+.f64 eps (+.f64 x x)) 1/2)))) -2) 2)
	63.97%	(/.f64 (.f64 (-.f64 (cos.f64 (+.f64 0 (.f64 x 1/2))) (cos.f64 (+.f64 (.f64 (+.f64 x (-.f64 eps x)) 1/2) (.f64 (+.f64 eps (+.f64 x x)) 1/2)))) -2) 2)
✓	63.52%	(/.f64 (.f64 (-.f64 (cos.f64 x) (cos.f64 (.f64 1/2 (+.f64 (+.f64 eps (*.f64 x 2)) eps)))) -2) 2)
	49.46%	(/.f64 (.f64 (+.f64 (.f64 eps (sin.f64 x)) (+.f64 (+.f64 (.f64 (cos.f64 x) (.f64 1/2 (.f64 eps eps))) (.f64 (sin.f64 x) (*.f64 -1/6 (pow.f64 eps 3)))) 0)) -2) 2)
✓	88.38%	(/.f64 (*.f64 0 -2) 2)
	56.79%	(/.f64 (sin.f64 eps) (/.f64 (-.f64 -1 (cos.f64 eps)) (sin.f64 eps)))
	63.61%	(/.f64 1 (/.f64 (+.f64 (cos.f64 eps) 1) (+.f64 (pow.f64 (cos.f64 eps) 2) -1)))
	63.7%	(/.f64 1 (/.f64 1 (-.f64 (cos.f64 (-.f64 x eps)) (cos.f64 x))))
	96.25%	(/.f64 1 (/.f64 1 (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))))
	59.26%	(-.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (/.f64 (.f64 (-.f64 0 (pow.f64 (.f64 (sin.f64 x) (sin.f64 eps)) 3)) -1) (+.f64 (pow.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) 2) 0)))) (cos.f64 x))
✓	39.11%	(-.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps)))) (cos.f64 x))
	8.5%	(-.f64 (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (cos.f64 x)) (.f64 (sin.f64 eps) (sin.f64 x)))
	58.99%	(-.f64 (+.f64 (cos.f64 eps) -1) (*.f64 x (sin.f64 eps)))
	8.45%	(-.f64 (.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)) (.f64 (sin.f64 eps) (sin.f64 x)))
	49.13%	(-.f64 (.f64 (.f64 eps eps) (.f64 -1/2 (cos.f64 x))) (.f64 eps (sin.f64 x)))
	39.14%	(-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (.f64 (sin.f64 x) (sin.f64 eps))))
✓	39.13%	(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))
	39.55%	(-.f64 (.f64 (cos.f64 eps) (cos.f64 x)) (-.f64 (exp.f64 (log1p.f64 (cos.f64 x))) (-.f64 1 (.f64 (sin.f64 eps) (sin.f64 x)))))
	63.8%	(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) 1)
	73.51%	(-.f64 (sqrt.f64 (pow.f64 (cos.f64 (-.f64 x eps)) 2)) (cos.f64 x))
	39.61%	(-.f64 (log.f64 (exp.f64 (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (.f64 (sin.f64 x) (sin.f64 eps))))) (cos.f64 x))
	54.4%	(-.f64 (exp.f64 (log1p.f64 (.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)))) (+.f64 (.f64 (sin.f64 eps) (sin.f64 x)) 1))
✓	63.59%	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
	88.35%	(-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))
	63.04%	(-.f64 (cos.f64 eps) (cos.f64 x))
✓	63.38%	(-.f64 (cos.f64 eps) 1)
	8.82%	(+.f64 (/.f64 (/.f64 (.f64 (neg.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (+.f64 eps eps))))) (cos.f64 x)) (sqrt.f64 (+.f64 (cos.f64 eps) 1))) (sqrt.f64 (+.f64 (cos.f64 eps) 1))) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	24.37%	(+.f64 (/.f64 (neg.f64 (pow.f64 (/.f64 (sin.f64 eps) (sqrt.f64 (/.f64 (sqrt.f64 (+.f64 1 (cos.f64 eps))) (cos.f64 x)))) 2)) (sqrt.f64 (+.f64 (cos.f64 eps) 1))) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	8.52%	(+.f64 (/.f64 (cos.f64 x) (/.f64 1 (+.f64 (cos.f64 eps) -1))) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	30.98%	(+.f64 (-.f64 (cos.f64 eps) 1) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	48.93%	(+.f64 (.f64 (.f64 -1/2 (cos.f64 x)) (.f64 eps eps)) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	49.81%	(+.f64 (.f64 (cos.f64 x) (fma.f64 1/24 (pow.f64 eps 4) (.f64 -1/2 (.f64 eps eps)))) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	8.67%	(+.f64 (.f64 (cos.f64 x) (-.f64 (+.f64 (cos.f64 eps) 1) 2)) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	27.93%	(+.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (/.f64 (.f64 (sin.f64 eps) (neg.f64 (pow.f64 (sin.f64 x) 3))) (+.f64 0 (pow.f64 (sin.f64 x) 2))))
	8.53%	(+.f64 (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (/.f64 (sin.f64 eps) (/.f64 (sin.f64 x) (neg.f64 (pow.f64 (sin.f64 x) 2)))))
	8.55%	(+.f64 (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (/.f64 (sin.f64 x) (sin.f64 eps))))
	60.19%	(+.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (+.f64 (.f64 1/6 (.f64 (pow.f64 x 3) (sin.f64 eps))) (.f64 -1 (*.f64 x (sin.f64 eps)))))
	8.63%	(+.f64 (.f64 (cos.f64 x) (cbrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 3))) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	8.78%	(+.f64 (log.f64 (+.f64 1 (expm1.f64 (.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x))))) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	8.62%	(+.f64 (log.f64 (exp.f64 (.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)))) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	96.25%	(+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
	95.31%	(+.f64 1 (cos.f64 eps))
	56.67%	(*.f64 (sin.f64 x) (neg.f64 eps))
	95.6%	(.f64 (cos.f64 (/.f64 (+.f64 eps (-.f64 x x)) 2)) (.f64 2 (cos.f64 (*.f64 1/2 (+.f64 eps (+.f64 x x))))))
	96.73%	(*.f64 2 (cos.f64 x))
✓	82.07%	(.f64 -1/2 (.f64 eps eps))
	23.96%	(.f64 -2 (.f64 (sin.f64 (/.f64 (+.f64 eps (-.f64 x x)) 2)) (sin.f64 (/.f64 (+.f64 eps (+.f64 x x)) 2))))
	86.53%	(sqrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2))
	90.19%	(neg.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))))
	63.46%	(log.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)))
	96.24%	(cbrt.f64 (pow.f64 (+.f64 (cos.f64 x) (cos.f64 eps)) 3))

Compiler

Compiled 1176 to 842 computations (28.4% saved)

regimes194.0ms (1.2%)

Counts

128 → 1

Calls

Call 1

Inputs
(.f64 -1/2 (.f64 eps eps))
(/.f64 (*.f64 0 -2) 2)
(*.f64 2 (cos.f64 x))
(+.f64 1 (cos.f64 eps))
(-.f64 (cos.f64 eps) 1)
(*.f64 (neg.f64 eps) (sin.f64 x))
(*.f64 (sin.f64 x) (neg.f64 eps))
(-.f64 (cos.f64 eps) (cos.f64 x))
(-.f64 (cos.f64 x) (cos.f64 x))
(+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))
(+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) 1)
(neg.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))))
(-.f64 (+.f64 (cos.f64 eps) -1) (*.f64 x (sin.f64 eps)))
(fma.f64 1/24 (pow.f64 eps 4) (.f64 -1/2 (.f64 eps eps)))
(/.f64 1 (/.f64 1 (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))))
(/.f64 1 (/.f64 1 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
(/.f64 1 (/.f64 1 (-.f64 (cos.f64 (-.f64 x eps)) (cos.f64 x))))
(-.f64 (.f64 (.f64 eps eps) (.f64 -1/2 (cos.f64 x))) (.f64 eps (sin.f64 x)))
(/.f64 (.f64 (-.f64 (cos.f64 x) (cos.f64 (.f64 1/2 (+.f64 (+.f64 eps (*.f64 x 2)) eps)))) -2) 2)
(.f64 -2 (.f64 (sin.f64 (/.f64 (+.f64 eps (-.f64 x x)) 2)) (sin.f64 (/.f64 (+.f64 eps (+.f64 x x)) 2))))
(.f64 (cos.f64 (/.f64 (+.f64 eps (-.f64 x x)) 2)) (.f64 2 (cos.f64 (*.f64 1/2 (+.f64 eps (+.f64 x x))))))
(.f64 (.f64 (sin.f64 (.f64 (+.f64 x (-.f64 eps x)) 1/2)) (sin.f64 (.f64 (+.f64 eps (+.f64 x x)) 1/2))) -2)
(/.f64 (.f64 (-.f64 (cos.f64 (+.f64 (.f64 1/2 x) (+.f64 (.f64 -1/2 x) (.f64 -1 x)))) (cos.f64 x)) -2) 2)
(/.f64 (.f64 (-.f64 (cos.f64 (neg.f64 x)) (cos.f64 (+.f64 (.f64 1/2 (+.f64 eps (.f64 2 x))) (.f64 1/2 eps)))) -2) 2)
(/.f64 (.f64 (-.f64 (cos.f64 (-.f64 (.f64 (+.f64 x (-.f64 eps x)) 1/2) (*.f64 (+.f64 eps (+.f64 x x)) 1/2))) (cos.f64 x)) -2) 2)
(/.f64 (.f64 (-.f64 (cos.f64 (+.f64 0 (.f64 x 1/2))) (cos.f64 (+.f64 (.f64 (+.f64 x (-.f64 eps x)) 1/2) (.f64 (+.f64 eps (+.f64 x x)) 1/2)))) -2) 2)
(/.f64 (.f64 (-.f64 (cos.f64 (+.f64 (.f64 1/2 x) (+.f64 (.f64 -1/2 x) (.f64 -1 x)))) (cos.f64 (+.f64 (.f64 1/2 (+.f64 eps (.f64 2 x))) (*.f64 1/2 eps)))) -2) 2)
(/.f64 (.f64 (-.f64 (cos.f64 (-.f64 (.f64 1/2 eps) (.f64 1/2 (-.f64 eps (.f64 -2 x))))) (cos.f64 (+.f64 (.f64 1/2 (-.f64 eps (.f64 -2 x))) (*.f64 1/2 eps)))) -2) 2)
(/.f64 (-.f64 (cos.f64 (.f64 1/2 (-.f64 (+.f64 x (-.f64 eps x)) (+.f64 (+.f64 eps x) x)))) (cos.f64 (.f64 1/2 (+.f64 (+.f64 x (-.f64 eps x)) (+.f64 (+.f64 eps x) x))))) -1)
(/.f64 (.f64 (-.f64 (cos.f64 (+.f64 (+.f64 (.f64 -1/2 eps) (+.f64 (.f64 -3/2 x) (.f64 1/2 eps))) (.f64 x 1/2))) (cos.f64 (+.f64 (.f64 (+.f64 x (-.f64 eps x)) 1/2) (*.f64 (+.f64 eps (+.f64 x x)) 1/2)))) -2) 2)
(/.f64 (.f64 (-.f64 (cos.f64 (-.f64 (.f64 (+.f64 x (-.f64 eps x)) 1/2) (.f64 (+.f64 eps (+.f64 x x)) 1/2))) (cos.f64 (+.f64 (.f64 (+.f64 x (-.f64 eps x)) 1/2) (*.f64 (+.f64 eps (+.f64 x x)) 1/2)))) -2) 2)
(log.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)))
(log1p.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1)))
(cbrt.f64 (*.f64 8 (pow.f64 (cos.f64 x) 3)))
(sqrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2))
(pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 3)
(-.f64 (fabs.f64 (cos.f64 (+.f64 eps x))) (cos.f64 x))
(-.f64 (-.f64 (cos.f64 x) (*.f64 eps (sin.f64 x))) (cos.f64 x))
(/.f64 (sin.f64 eps) (/.f64 (-.f64 -1 (cos.f64 eps)) (sin.f64 eps)))
(+.f64 (-.f64 (cos.f64 eps) 1) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
(/.f64 1 (/.f64 (+.f64 (cos.f64 eps) 1) (+.f64 (pow.f64 (cos.f64 eps) 2) -1)))
(fma.f64 (.f64 -1/2 (.f64 eps eps)) (cos.f64 x) (*.f64 eps (neg.f64 (sin.f64 x))))
(+.f64 (.f64 (.f64 -1/2 (cos.f64 x)) (.f64 eps eps)) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
(.f64 -2 (.f64 (sin.f64 (.f64 1/2 (+.f64 eps (-.f64 x x)))) (sin.f64 (.f64 1/2 (fma.f64 2 x eps)))))
(-.f64 (-.f64 (.f64 (+.f64 (.f64 -1/2 (.f64 eps eps)) 1) (cos.f64 x)) (.f64 eps (sin.f64 x))) (cos.f64 x))
(/.f64 (.f64 (-.f64 (cos.f64 (+.f64 (+.f64 (.f64 (fma.f64 2 x eps) -1/2) (.f64 (-.f64 eps x) 1/2)) (.f64 x 1/2))) (cos.f64 x)) -2) 2)
(/.f64 (.f64 (-.f64 (cos.f64 (+.f64 (fabs.f64 (.f64 -3/2 x)) (.f64 x 1/2))) (cos.f64 (+.f64 (.f64 (+.f64 x (-.f64 eps x)) 1/2) (*.f64 (+.f64 eps (+.f64 x x)) 1/2)))) -2) 2)
(/.f64 (.f64 (-.f64 (cos.f64 (+.f64 (+.f64 (.f64 (fma.f64 2 x eps) -1/2) (.f64 (-.f64 eps x) 1/2)) (.f64 x 1/2))) (cos.f64 (+.f64 (.f64 (+.f64 x (-.f64 eps x)) 1/2) (.f64 (+.f64 eps (+.f64 x x)) 1/2)))) -2) 2)
(/.f64 (.f64 (-.f64 (cos.f64 (-.f64 (.f64 (/.f64 1 (/.f64 (+.f64 x (-.f64 x eps)) (-.f64 (.f64 x x) (pow.f64 (-.f64 eps x) 2)))) 1/2) (.f64 (+.f64 eps (+.f64 x x)) 1/2))) (cos.f64 (+.f64 (.f64 (+.f64 x (-.f64 eps x)) 1/2) (.f64 (+.f64 eps (+.f64 x x)) 1/2)))) -2) 2)
(-.f64 (log.f64 (exp.f64 (cos.f64 eps))) (cos.f64 x))
(cbrt.f64 (pow.f64 (+.f64 (cos.f64 x) (cos.f64 eps)) 3))
(log.f64 (exp.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
(-.f64 (expm1.f64 (log1p.f64 (cos.f64 (+.f64 x eps)))) (cos.f64 x))
(-.f64 (log.f64 (exp.f64 (cos.f64 (+.f64 x eps)))) (cos.f64 x))
(cbrt.f64 (pow.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))) 3))
(cbrt.f64 (pow.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 3))
(-.f64 (sqrt.f64 (pow.f64 (cos.f64 (-.f64 x eps)) 2)) (cos.f64 x))
(-.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) 3) (cos.f64 x))
(pow.f64 (cbrt.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))) 3)
(pow.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 3)
(*.f64 (+.f64 (sqrt.f64 (cos.f64 eps)) 1) (-.f64 (sqrt.f64 (cos.f64 eps)) 1))
(+.f64 (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))) (.f64 (sin.f64 x) (sin.f64 eps)))
(+.f64 (+.f64 (neg.f64 (cos.f64 x)) (cos.f64 eps)) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
(+.f64 (+.f64 (neg.f64 (cos.f64 x)) (cos.f64 x)) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
(-.f64 (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))) (.f64 (sin.f64 x) (sin.f64 eps)))
(-.f64 (.f64 (sin.f64 x) (sin.f64 eps)) (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))))
(-.f64 (.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)) (.f64 (sin.f64 eps) (sin.f64 x)))
(+.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
(+.f64 (.f64 (cos.f64 x) (-.f64 (+.f64 (cos.f64 eps) 1) 2)) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
(+.f64 (/.f64 (cos.f64 x) (/.f64 1 (+.f64 (cos.f64 eps) -1))) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
(/.f64 (.f64 (+.f64 (.f64 eps (sin.f64 x)) (+.f64 (+.f64 (.f64 (cos.f64 x) (.f64 1/2 (.f64 eps eps))) (.f64 (sin.f64 x) (*.f64 -1/6 (pow.f64 eps 3)))) 0)) -2) 2)
(.f64 -1 (-.f64 (cos.f64 (.f64 1/2 (+.f64 x (-.f64 (-.f64 eps x) (fma.f64 2 x eps))))) (cos.f64 (*.f64 1/2 (+.f64 x (+.f64 (-.f64 eps x) (fma.f64 2 x eps)))))))
(-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (.f64 (sin.f64 x) (sin.f64 eps))))
(-.f64 (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (cos.f64 x)) (.f64 (sin.f64 eps) (sin.f64 x)))
(-.f64 (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))
(+.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (-.f64 (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))) (cos.f64 x)))
(+.f64 (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (cos.f64 x)) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
(+.f64 (+.f64 (neg.f64 (cos.f64 x)) (.f64 (cos.f64 x) (cos.f64 eps))) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
(+.f64 (.f64 (cos.f64 x) (fma.f64 1/24 (pow.f64 eps 4) (.f64 -1/2 (.f64 eps eps)))) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
(-.f64 (fma.f64 1/6 (.f64 (sin.f64 x) (pow.f64 eps 3)) (.f64 (cos.f64 x) (.f64 -1/2 (.f64 eps eps)))) (*.f64 eps (sin.f64 x)))
(+.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (+.f64 (.f64 1/6 (.f64 (pow.f64 x 3) (sin.f64 eps))) (.f64 -1 (*.f64 x (sin.f64 eps)))))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))
(-.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps)))) (cos.f64 x))
(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (+.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (cos.f64 x))))
(+.f64 (log.f64 (exp.f64 (.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)))) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
(+.f64 (log1p.f64 (expm1.f64 (.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)))) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
(+.f64 (.f64 (cos.f64 x) (cbrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 3))) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
(+.f64 (pow.f64 (cbrt.f64 (.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x))) 3) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
(-.f64 (exp.f64 (log1p.f64 (.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)))) (+.f64 (.f64 (sin.f64 eps) (sin.f64 x)) 1))
(+.f64 (log.f64 (+.f64 1 (expm1.f64 (.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x))))) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
(+.f64 (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (/.f64 (sin.f64 x) (sin.f64 eps))))
(+.f64 (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (/.f64 (sin.f64 eps) (/.f64 (sin.f64 x) (neg.f64 (pow.f64 (sin.f64 x) 2)))))
(+.f64 (fma.f64 1/24 (.f64 (cos.f64 x) (pow.f64 eps 4)) (.f64 (.f64 -1/2 (cos.f64 x)) (.f64 eps eps))) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
(+.f64 (+.f64 (neg.f64 (cos.f64 x)) (.f64 (cos.f64 x) (cos.f64 eps))) (+.f64 (.f64 1/6 (.f64 (pow.f64 x 3) (sin.f64 eps))) (.f64 -1 (*.f64 x (sin.f64 eps)))))
(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x))))
(-.f64 (log.f64 (exp.f64 (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (.f64 (sin.f64 x) (sin.f64 eps))))) (cos.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) 2) (cbrt.f64 (cos.f64 (+.f64 x eps))) (neg.f64 (cos.f64 x)))
(-.f64 (-.f64 (.f64 (cos.f64 eps) (cos.f64 x)) (cos.f64 x)) (pow.f64 (sqrt.f64 (.f64 (sin.f64 x) (sin.f64 eps))) 2))
(+.f64 (+.f64 (neg.f64 (cos.f64 x)) (expm1.f64 (log1p.f64 (.f64 (cos.f64 x) (cos.f64 eps))))) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
(+.f64 (+.f64 (neg.f64 (cos.f64 x)) (.f64 (cos.f64 eps) (log.f64 (exp.f64 (cos.f64 x))))) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
(-.f64 (.f64 (cos.f64 eps) (cos.f64 x)) (-.f64 (exp.f64 (log1p.f64 (cos.f64 x))) (-.f64 1 (.f64 (sin.f64 eps) (sin.f64 x)))))
(+.f64 (+.f64 (neg.f64 (cos.f64 x)) (pow.f64 (cbrt.f64 (.f64 (cos.f64 x) (cos.f64 eps))) 3)) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
(+.f64 (-.f64 (exp.f64 (log1p.f64 (.f64 (cos.f64 x) (cos.f64 eps)))) (+.f64 (cos.f64 x) 1)) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
(+.f64 (+.f64 (neg.f64 (cos.f64 x)) (log.f64 (+.f64 1 (expm1.f64 (.f64 (cos.f64 x) (cos.f64 eps)))))) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
(+.f64 (+.f64 (neg.f64 (cos.f64 x)) (*.f64 (cos.f64 x) (cos.f64 eps))) (/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (/.f64 (sin.f64 x) (sin.f64 eps))))
(+.f64 (+.f64 (neg.f64 (cos.f64 x)) (*.f64 (cos.f64 x) (cos.f64 eps))) (/.f64 (sin.f64 eps) (/.f64 (sin.f64 x) (neg.f64 (pow.f64 (sin.f64 x) 2)))))
(+.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (/.f64 (.f64 (sin.f64 eps) (neg.f64 (pow.f64 (sin.f64 x) 3))) (+.f64 0 (pow.f64 (sin.f64 x) 2))))
(+.f64 (.f64 1/24 (.f64 (pow.f64 eps 4) (cos.f64 x))) (+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) (sin.f64 x))) (+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (.f64 -1 (.f64 eps (sin.f64 x))))))
(+.f64 (+.f64 (neg.f64 (cos.f64 x)) (.f64 (cos.f64 x) (cos.f64 eps))) (/.f64 (.f64 (sin.f64 eps) (neg.f64 (pow.f64 (sin.f64 x) 3))) (+.f64 0 (pow.f64 (sin.f64 x) 2))))
(+.f64 (/.f64 (/.f64 (.f64 (neg.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (+.f64 eps eps))))) (cos.f64 x)) (sqrt.f64 (+.f64 (cos.f64 eps) 1))) (sqrt.f64 (+.f64 (cos.f64 eps) 1))) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
(+.f64 (/.f64 (/.f64 (.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)) (cos.f64 x)) (sqrt.f64 (+.f64 (cos.f64 eps) 1))) (sqrt.f64 (+.f64 (cos.f64 eps) 1))) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
(/.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3) (pow.f64 (cos.f64 x) 3)) (+.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (*.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))))
(+.f64 (/.f64 (neg.f64 (pow.f64 (/.f64 (sin.f64 eps) (sqrt.f64 (/.f64 (sqrt.f64 (+.f64 1 (cos.f64 eps))) (cos.f64 x)))) 2)) (sqrt.f64 (+.f64 (cos.f64 eps) 1))) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
(-.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (/.f64 (.f64 (-.f64 0 (pow.f64 (.f64 (sin.f64 x) (sin.f64 eps)) 3)) -1) (+.f64 (pow.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) 2) 0)))) (cos.f64 x))
(fma.f64 (sqrt.f64 (.f64 (cos.f64 eps) (cos.f64 x))) (sqrt.f64 (.f64 (cos.f64 eps) (cos.f64 x))) (neg.f64 (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x))))
(+.f64 (+.f64 (-.f64 (.f64 (cos.f64 eps) (cos.f64 x)) (cos.f64 x)) (+.f64 (neg.f64 (pow.f64 (sqrt.f64 (.f64 (cos.f64 eps) (cos.f64 x))) 2)) (.f64 (cos.f64 eps) (cos.f64 x)))) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
(+.f64 (.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)) (cbrt.f64 (+.f64 (cos.f64 eps) 1))) (/.f64 (cos.f64 x) (.f64 (cbrt.f64 (+.f64 (cos.f64 eps) 1)) (cbrt.f64 (+.f64 (cos.f64 eps) 1))))) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 eps) (cos.f64 x))) 2) (cbrt.f64 (.f64 (cos.f64 eps) (cos.f64 x))) (neg.f64 (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x))))
(-.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (fma.f64 (sin.f64 eps) (neg.f64 (sin.f64 x)) (fma.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x) (*.f64 (sin.f64 eps) (sin.f64 x))))) (cos.f64 x))
(-.f64 (/.f64 (-.f64 (.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (.f64 (cos.f64 x) (cos.f64 eps))) (.f64 (.f64 (sin.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (sin.f64 eps)))) (+.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (.f64 (sin.f64 x) (sin.f64 eps)))) (cos.f64 x))
(/.f64 (/.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 6) (pow.f64 (cos.f64 x) 6)) (+.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 2) (*.f64 (cos.f64 x) (+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))))) (+.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 3) (pow.f64 (cos.f64 x) 3)))
(-.f64 (/.f64 (-.f64 (.f64 (pow.f64 (cos.f64 x) 2) (.f64 (cos.f64 eps) (cos.f64 eps))) (.f64 (sin.f64 eps) (.f64 (sin.f64 eps) (.f64 (sin.f64 x) (sin.f64 x))))) (fma.f64 (cos.f64 eps) (cos.f64 x) (.f64 (sin.f64 eps) (sin.f64 x)))) (cos.f64 x))
(-.f64 (/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 eps) (cos.f64 x)) 3) (pow.f64 (.f64 (sin.f64 eps) (sin.f64 x)) 3)) (+.f64 (.f64 (pow.f64 (cos.f64 x) 2) (.f64 (cos.f64 eps) (cos.f64 eps))) (.f64 (.f64 (sin.f64 eps) (sin.f64 x)) (fma.f64 (cos.f64 x) (cos.f64 eps) (*.f64 (sin.f64 eps) (sin.f64 x)))))) (cos.f64 x))
(+.f64 (/.f64 (/.f64 (-.f64 (pow.f64 (cos.f64 x) 6) (pow.f64 (.f64 (cos.f64 eps) (cos.f64 x)) 6)) (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps)))) (+.f64 (.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (.f64 (cos.f64 eps) (cos.f64 x)) 2)) (+.f64 (pow.f64 (cos.f64 x) 4) (pow.f64 (.f64 (cos.f64 eps) (cos.f64 x)) 4)))) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
(/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 x) (cos.f64 eps)) 3) (pow.f64 (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)) 3)) (+.f64 (pow.f64 (.f64 (cos.f64 x) (cos.f64 eps)) 2) (.f64 (neg.f64 (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x))) (-.f64 (neg.f64 (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x))) (.f64 (cos.f64 x) (cos.f64 eps))))))

Outputs
(+.f64 (/.f64 (/.f64 (.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)) (cos.f64 x)) (sqrt.f64 (+.f64 (cos.f64 eps) 1))) (sqrt.f64 (+.f64 (cos.f64 eps) 1))) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))

Calls

3 calls:

57.0ms	x
55.0ms	eps
36.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

Error	Segments	Branch
1.13%	1	`x`
1.13%	1	`eps`
1.13%	1	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`

Compiler

Compiled 2295 to 949 computations (58.6% saved)

regimes516.0ms (3.2%)

Counts

113 → 3

Calls

Call 1

Inputs
(.f64 -1/2 (.f64 eps eps))
(/.f64 (*.f64 0 -2) 2)
(*.f64 2 (cos.f64 x))
(+.f64 1 (cos.f64 eps))
(-.f64 (cos.f64 eps) 1)
(*.f64 (neg.f64 eps) (sin.f64 x))
(*.f64 (sin.f64 x) (neg.f64 eps))
(-.f64 (cos.f64 eps) (cos.f64 x))
(-.f64 (cos.f64 x) (cos.f64 x))
(+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))
(+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) 1)
(neg.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))))
(-.f64 (+.f64 (cos.f64 eps) -1) (*.f64 x (sin.f64 eps)))
(fma.f64 1/24 (pow.f64 eps 4) (.f64 -1/2 (.f64 eps eps)))
(/.f64 1 (/.f64 1 (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))))
(/.f64 1 (/.f64 1 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
(/.f64 1 (/.f64 1 (-.f64 (cos.f64 (-.f64 x eps)) (cos.f64 x))))
(-.f64 (.f64 (.f64 eps eps) (.f64 -1/2 (cos.f64 x))) (.f64 eps (sin.f64 x)))
(/.f64 (.f64 (-.f64 (cos.f64 x) (cos.f64 (.f64 1/2 (+.f64 (+.f64 eps (*.f64 x 2)) eps)))) -2) 2)
(.f64 -2 (.f64 (sin.f64 (/.f64 (+.f64 eps (-.f64 x x)) 2)) (sin.f64 (/.f64 (+.f64 eps (+.f64 x x)) 2))))
(.f64 (cos.f64 (/.f64 (+.f64 eps (-.f64 x x)) 2)) (.f64 2 (cos.f64 (*.f64 1/2 (+.f64 eps (+.f64 x x))))))
(.f64 (.f64 (sin.f64 (.f64 (+.f64 x (-.f64 eps x)) 1/2)) (sin.f64 (.f64 (+.f64 eps (+.f64 x x)) 1/2))) -2)
(/.f64 (.f64 (-.f64 (cos.f64 (+.f64 (.f64 1/2 x) (+.f64 (.f64 -1/2 x) (.f64 -1 x)))) (cos.f64 x)) -2) 2)
(/.f64 (.f64 (-.f64 (cos.f64 (neg.f64 x)) (cos.f64 (+.f64 (.f64 1/2 (+.f64 eps (.f64 2 x))) (.f64 1/2 eps)))) -2) 2)
(/.f64 (.f64 (-.f64 (cos.f64 (-.f64 (.f64 (+.f64 x (-.f64 eps x)) 1/2) (*.f64 (+.f64 eps (+.f64 x x)) 1/2))) (cos.f64 x)) -2) 2)
(/.f64 (.f64 (-.f64 (cos.f64 (+.f64 0 (.f64 x 1/2))) (cos.f64 (+.f64 (.f64 (+.f64 x (-.f64 eps x)) 1/2) (.f64 (+.f64 eps (+.f64 x x)) 1/2)))) -2) 2)
(/.f64 (.f64 (-.f64 (cos.f64 (+.f64 (.f64 1/2 x) (+.f64 (.f64 -1/2 x) (.f64 -1 x)))) (cos.f64 (+.f64 (.f64 1/2 (+.f64 eps (.f64 2 x))) (*.f64 1/2 eps)))) -2) 2)
(/.f64 (.f64 (-.f64 (cos.f64 (-.f64 (.f64 1/2 eps) (.f64 1/2 (-.f64 eps (.f64 -2 x))))) (cos.f64 (+.f64 (.f64 1/2 (-.f64 eps (.f64 -2 x))) (*.f64 1/2 eps)))) -2) 2)
(/.f64 (-.f64 (cos.f64 (.f64 1/2 (-.f64 (+.f64 x (-.f64 eps x)) (+.f64 (+.f64 eps x) x)))) (cos.f64 (.f64 1/2 (+.f64 (+.f64 x (-.f64 eps x)) (+.f64 (+.f64 eps x) x))))) -1)
(/.f64 (.f64 (-.f64 (cos.f64 (+.f64 (+.f64 (.f64 -1/2 eps) (+.f64 (.f64 -3/2 x) (.f64 1/2 eps))) (.f64 x 1/2))) (cos.f64 (+.f64 (.f64 (+.f64 x (-.f64 eps x)) 1/2) (*.f64 (+.f64 eps (+.f64 x x)) 1/2)))) -2) 2)
(/.f64 (.f64 (-.f64 (cos.f64 (-.f64 (.f64 (+.f64 x (-.f64 eps x)) 1/2) (.f64 (+.f64 eps (+.f64 x x)) 1/2))) (cos.f64 (+.f64 (.f64 (+.f64 x (-.f64 eps x)) 1/2) (*.f64 (+.f64 eps (+.f64 x x)) 1/2)))) -2) 2)
(log.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)))
(log1p.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1)))
(cbrt.f64 (*.f64 8 (pow.f64 (cos.f64 x) 3)))
(sqrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2))
(pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 3)
(-.f64 (fabs.f64 (cos.f64 (+.f64 eps x))) (cos.f64 x))
(-.f64 (-.f64 (cos.f64 x) (*.f64 eps (sin.f64 x))) (cos.f64 x))
(/.f64 (sin.f64 eps) (/.f64 (-.f64 -1 (cos.f64 eps)) (sin.f64 eps)))
(+.f64 (-.f64 (cos.f64 eps) 1) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
(/.f64 1 (/.f64 (+.f64 (cos.f64 eps) 1) (+.f64 (pow.f64 (cos.f64 eps) 2) -1)))
(fma.f64 (.f64 -1/2 (.f64 eps eps)) (cos.f64 x) (*.f64 eps (neg.f64 (sin.f64 x))))
(+.f64 (.f64 (.f64 -1/2 (cos.f64 x)) (.f64 eps eps)) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
(.f64 -2 (.f64 (sin.f64 (.f64 1/2 (+.f64 eps (-.f64 x x)))) (sin.f64 (.f64 1/2 (fma.f64 2 x eps)))))
(-.f64 (-.f64 (.f64 (+.f64 (.f64 -1/2 (.f64 eps eps)) 1) (cos.f64 x)) (.f64 eps (sin.f64 x))) (cos.f64 x))
(/.f64 (.f64 (-.f64 (cos.f64 (+.f64 (+.f64 (.f64 (fma.f64 2 x eps) -1/2) (.f64 (-.f64 eps x) 1/2)) (.f64 x 1/2))) (cos.f64 x)) -2) 2)
(/.f64 (.f64 (-.f64 (cos.f64 (+.f64 (fabs.f64 (.f64 -3/2 x)) (.f64 x 1/2))) (cos.f64 (+.f64 (.f64 (+.f64 x (-.f64 eps x)) 1/2) (*.f64 (+.f64 eps (+.f64 x x)) 1/2)))) -2) 2)
(/.f64 (.f64 (-.f64 (cos.f64 (+.f64 (+.f64 (.f64 (fma.f64 2 x eps) -1/2) (.f64 (-.f64 eps x) 1/2)) (.f64 x 1/2))) (cos.f64 (+.f64 (.f64 (+.f64 x (-.f64 eps x)) 1/2) (.f64 (+.f64 eps (+.f64 x x)) 1/2)))) -2) 2)
(/.f64 (.f64 (-.f64 (cos.f64 (-.f64 (.f64 (/.f64 1 (/.f64 (+.f64 x (-.f64 x eps)) (-.f64 (.f64 x x) (pow.f64 (-.f64 eps x) 2)))) 1/2) (.f64 (+.f64 eps (+.f64 x x)) 1/2))) (cos.f64 (+.f64 (.f64 (+.f64 x (-.f64 eps x)) 1/2) (.f64 (+.f64 eps (+.f64 x x)) 1/2)))) -2) 2)
(-.f64 (log.f64 (exp.f64 (cos.f64 eps))) (cos.f64 x))
(cbrt.f64 (pow.f64 (+.f64 (cos.f64 x) (cos.f64 eps)) 3))
(log.f64 (exp.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
(-.f64 (expm1.f64 (log1p.f64 (cos.f64 (+.f64 x eps)))) (cos.f64 x))
(-.f64 (log.f64 (exp.f64 (cos.f64 (+.f64 x eps)))) (cos.f64 x))
(cbrt.f64 (pow.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))) 3))
(cbrt.f64 (pow.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 3))
(-.f64 (sqrt.f64 (pow.f64 (cos.f64 (-.f64 x eps)) 2)) (cos.f64 x))
(-.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) 3) (cos.f64 x))
(pow.f64 (cbrt.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))) 3)
(pow.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 3)
(*.f64 (+.f64 (sqrt.f64 (cos.f64 eps)) 1) (-.f64 (sqrt.f64 (cos.f64 eps)) 1))
(+.f64 (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))) (.f64 (sin.f64 x) (sin.f64 eps)))
(+.f64 (+.f64 (neg.f64 (cos.f64 x)) (cos.f64 eps)) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
(+.f64 (+.f64 (neg.f64 (cos.f64 x)) (cos.f64 x)) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
(-.f64 (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))) (.f64 (sin.f64 x) (sin.f64 eps)))
(-.f64 (.f64 (sin.f64 x) (sin.f64 eps)) (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))))
(-.f64 (.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)) (.f64 (sin.f64 eps) (sin.f64 x)))
(+.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
(+.f64 (.f64 (cos.f64 x) (-.f64 (+.f64 (cos.f64 eps) 1) 2)) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
(+.f64 (/.f64 (cos.f64 x) (/.f64 1 (+.f64 (cos.f64 eps) -1))) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
(/.f64 (.f64 (+.f64 (.f64 eps (sin.f64 x)) (+.f64 (+.f64 (.f64 (cos.f64 x) (.f64 1/2 (.f64 eps eps))) (.f64 (sin.f64 x) (*.f64 -1/6 (pow.f64 eps 3)))) 0)) -2) 2)
(.f64 -1 (-.f64 (cos.f64 (.f64 1/2 (+.f64 x (-.f64 (-.f64 eps x) (fma.f64 2 x eps))))) (cos.f64 (*.f64 1/2 (+.f64 x (+.f64 (-.f64 eps x) (fma.f64 2 x eps)))))))
(-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (.f64 (sin.f64 x) (sin.f64 eps))))
(-.f64 (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (cos.f64 x)) (.f64 (sin.f64 eps) (sin.f64 x)))
(-.f64 (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))
(+.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (-.f64 (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))) (cos.f64 x)))
(+.f64 (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (cos.f64 x)) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
(+.f64 (+.f64 (neg.f64 (cos.f64 x)) (.f64 (cos.f64 x) (cos.f64 eps))) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
(+.f64 (.f64 (cos.f64 x) (fma.f64 1/24 (pow.f64 eps 4) (.f64 -1/2 (.f64 eps eps)))) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
(-.f64 (fma.f64 1/6 (.f64 (sin.f64 x) (pow.f64 eps 3)) (.f64 (cos.f64 x) (.f64 -1/2 (.f64 eps eps)))) (*.f64 eps (sin.f64 x)))
(+.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (+.f64 (.f64 1/6 (.f64 (pow.f64 x 3) (sin.f64 eps))) (.f64 -1 (*.f64 x (sin.f64 eps)))))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))
(-.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps)))) (cos.f64 x))
(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (+.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (cos.f64 x))))
(+.f64 (log.f64 (exp.f64 (.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)))) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
(+.f64 (log1p.f64 (expm1.f64 (.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)))) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
(+.f64 (.f64 (cos.f64 x) (cbrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 3))) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
(+.f64 (pow.f64 (cbrt.f64 (.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x))) 3) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
(-.f64 (exp.f64 (log1p.f64 (.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)))) (+.f64 (.f64 (sin.f64 eps) (sin.f64 x)) 1))
(+.f64 (log.f64 (+.f64 1 (expm1.f64 (.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x))))) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
(+.f64 (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (/.f64 (sin.f64 x) (sin.f64 eps))))
(+.f64 (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (/.f64 (sin.f64 eps) (/.f64 (sin.f64 x) (neg.f64 (pow.f64 (sin.f64 x) 2)))))
(+.f64 (fma.f64 1/24 (.f64 (cos.f64 x) (pow.f64 eps 4)) (.f64 (.f64 -1/2 (cos.f64 x)) (.f64 eps eps))) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
(+.f64 (+.f64 (neg.f64 (cos.f64 x)) (.f64 (cos.f64 x) (cos.f64 eps))) (+.f64 (.f64 1/6 (.f64 (pow.f64 x 3) (sin.f64 eps))) (.f64 -1 (*.f64 x (sin.f64 eps)))))
(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x))))
(-.f64 (log.f64 (exp.f64 (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (.f64 (sin.f64 x) (sin.f64 eps))))) (cos.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) 2) (cbrt.f64 (cos.f64 (+.f64 x eps))) (neg.f64 (cos.f64 x)))
(-.f64 (-.f64 (.f64 (cos.f64 eps) (cos.f64 x)) (cos.f64 x)) (pow.f64 (sqrt.f64 (.f64 (sin.f64 x) (sin.f64 eps))) 2))
(+.f64 (+.f64 (neg.f64 (cos.f64 x)) (expm1.f64 (log1p.f64 (.f64 (cos.f64 x) (cos.f64 eps))))) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
(+.f64 (+.f64 (neg.f64 (cos.f64 x)) (.f64 (cos.f64 eps) (log.f64 (exp.f64 (cos.f64 x))))) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
(-.f64 (.f64 (cos.f64 eps) (cos.f64 x)) (-.f64 (exp.f64 (log1p.f64 (cos.f64 x))) (-.f64 1 (.f64 (sin.f64 eps) (sin.f64 x)))))
(+.f64 (+.f64 (neg.f64 (cos.f64 x)) (pow.f64 (cbrt.f64 (.f64 (cos.f64 x) (cos.f64 eps))) 3)) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
(+.f64 (-.f64 (exp.f64 (log1p.f64 (.f64 (cos.f64 x) (cos.f64 eps)))) (+.f64 (cos.f64 x) 1)) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
(+.f64 (+.f64 (neg.f64 (cos.f64 x)) (log.f64 (+.f64 1 (expm1.f64 (.f64 (cos.f64 x) (cos.f64 eps)))))) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
(+.f64 (+.f64 (neg.f64 (cos.f64 x)) (*.f64 (cos.f64 x) (cos.f64 eps))) (/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (/.f64 (sin.f64 x) (sin.f64 eps))))
(+.f64 (+.f64 (neg.f64 (cos.f64 x)) (*.f64 (cos.f64 x) (cos.f64 eps))) (/.f64 (sin.f64 eps) (/.f64 (sin.f64 x) (neg.f64 (pow.f64 (sin.f64 x) 2)))))
(+.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (/.f64 (.f64 (sin.f64 eps) (neg.f64 (pow.f64 (sin.f64 x) 3))) (+.f64 0 (pow.f64 (sin.f64 x) 2))))
(+.f64 (.f64 1/24 (.f64 (pow.f64 eps 4) (cos.f64 x))) (+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) (sin.f64 x))) (+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (.f64 -1 (.f64 eps (sin.f64 x))))))
(+.f64 (+.f64 (neg.f64 (cos.f64 x)) (.f64 (cos.f64 x) (cos.f64 eps))) (/.f64 (.f64 (sin.f64 eps) (neg.f64 (pow.f64 (sin.f64 x) 3))) (+.f64 0 (pow.f64 (sin.f64 x) 2))))
(+.f64 (/.f64 (/.f64 (.f64 (neg.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (+.f64 eps eps))))) (cos.f64 x)) (sqrt.f64 (+.f64 (cos.f64 eps) 1))) (sqrt.f64 (+.f64 (cos.f64 eps) 1))) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))

Outputs

(-.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)) (*.f64 (sin.f64 eps) (sin.f64 x)))

(+.f64 (*.f64 (cos.f64 x) (fma.f64 1/24 (pow.f64 eps 4) (*.f64 -1/2 (*.f64 eps eps)))) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))

(-.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)) (*.f64 (sin.f64 eps) (sin.f64 x)))

Calls

3 calls:

277.0ms	eps
169.0ms	x
33.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

Error	Segments	Branch
0.88%	3	`x`
0.66%	3	`eps`
8.45%	1	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`

Compiler

Compiled 1785 to 785 computations (56% saved)

bsearch87.0ms (0.5%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
48.0ms	0.0002164513431476539	0.6446687606685534
38.0ms	-260.2726340410282	-8.156368069567836e-7

Results

42.0ms	170×	body	256	valid
26.0ms	62×	body	1024	valid
8.0ms	32×	body	512	valid
5.0ms	8×	body	2048	valid

Compiler

Compiled 677 to 503 computations (25.7% saved)

regimes294.0ms (1.8%)

Counts

81 → 3

Calls

Call 1

Inputs
(.f64 -1/2 (.f64 eps eps))
(/.f64 (*.f64 0 -2) 2)
(*.f64 2 (cos.f64 x))
(+.f64 1 (cos.f64 eps))
(-.f64 (cos.f64 eps) 1)
(*.f64 (neg.f64 eps) (sin.f64 x))
(*.f64 (sin.f64 x) (neg.f64 eps))
(-.f64 (cos.f64 eps) (cos.f64 x))
(-.f64 (cos.f64 x) (cos.f64 x))
(+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))
(+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) 1)
(neg.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))))
(-.f64 (+.f64 (cos.f64 eps) -1) (*.f64 x (sin.f64 eps)))
(fma.f64 1/24 (pow.f64 eps 4) (.f64 -1/2 (.f64 eps eps)))
(/.f64 1 (/.f64 1 (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))))
(/.f64 1 (/.f64 1 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
(/.f64 1 (/.f64 1 (-.f64 (cos.f64 (-.f64 x eps)) (cos.f64 x))))
(-.f64 (.f64 (.f64 eps eps) (.f64 -1/2 (cos.f64 x))) (.f64 eps (sin.f64 x)))
(/.f64 (.f64 (-.f64 (cos.f64 x) (cos.f64 (.f64 1/2 (+.f64 (+.f64 eps (*.f64 x 2)) eps)))) -2) 2)
(.f64 -2 (.f64 (sin.f64 (/.f64 (+.f64 eps (-.f64 x x)) 2)) (sin.f64 (/.f64 (+.f64 eps (+.f64 x x)) 2))))
(.f64 (cos.f64 (/.f64 (+.f64 eps (-.f64 x x)) 2)) (.f64 2 (cos.f64 (*.f64 1/2 (+.f64 eps (+.f64 x x))))))
(.f64 (.f64 (sin.f64 (.f64 (+.f64 x (-.f64 eps x)) 1/2)) (sin.f64 (.f64 (+.f64 eps (+.f64 x x)) 1/2))) -2)
(/.f64 (.f64 (-.f64 (cos.f64 (+.f64 (.f64 1/2 x) (+.f64 (.f64 -1/2 x) (.f64 -1 x)))) (cos.f64 x)) -2) 2)
(/.f64 (.f64 (-.f64 (cos.f64 (neg.f64 x)) (cos.f64 (+.f64 (.f64 1/2 (+.f64 eps (.f64 2 x))) (.f64 1/2 eps)))) -2) 2)
(/.f64 (.f64 (-.f64 (cos.f64 (-.f64 (.f64 (+.f64 x (-.f64 eps x)) 1/2) (*.f64 (+.f64 eps (+.f64 x x)) 1/2))) (cos.f64 x)) -2) 2)
(/.f64 (.f64 (-.f64 (cos.f64 (+.f64 0 (.f64 x 1/2))) (cos.f64 (+.f64 (.f64 (+.f64 x (-.f64 eps x)) 1/2) (.f64 (+.f64 eps (+.f64 x x)) 1/2)))) -2) 2)
(/.f64 (.f64 (-.f64 (cos.f64 (+.f64 (.f64 1/2 x) (+.f64 (.f64 -1/2 x) (.f64 -1 x)))) (cos.f64 (+.f64 (.f64 1/2 (+.f64 eps (.f64 2 x))) (*.f64 1/2 eps)))) -2) 2)
(/.f64 (.f64 (-.f64 (cos.f64 (-.f64 (.f64 1/2 eps) (.f64 1/2 (-.f64 eps (.f64 -2 x))))) (cos.f64 (+.f64 (.f64 1/2 (-.f64 eps (.f64 -2 x))) (*.f64 1/2 eps)))) -2) 2)
(/.f64 (-.f64 (cos.f64 (.f64 1/2 (-.f64 (+.f64 x (-.f64 eps x)) (+.f64 (+.f64 eps x) x)))) (cos.f64 (.f64 1/2 (+.f64 (+.f64 x (-.f64 eps x)) (+.f64 (+.f64 eps x) x))))) -1)
(/.f64 (.f64 (-.f64 (cos.f64 (+.f64 (+.f64 (.f64 -1/2 eps) (+.f64 (.f64 -3/2 x) (.f64 1/2 eps))) (.f64 x 1/2))) (cos.f64 (+.f64 (.f64 (+.f64 x (-.f64 eps x)) 1/2) (*.f64 (+.f64 eps (+.f64 x x)) 1/2)))) -2) 2)
(/.f64 (.f64 (-.f64 (cos.f64 (-.f64 (.f64 (+.f64 x (-.f64 eps x)) 1/2) (.f64 (+.f64 eps (+.f64 x x)) 1/2))) (cos.f64 (+.f64 (.f64 (+.f64 x (-.f64 eps x)) 1/2) (*.f64 (+.f64 eps (+.f64 x x)) 1/2)))) -2) 2)
(log.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)))
(log1p.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1)))
(cbrt.f64 (*.f64 8 (pow.f64 (cos.f64 x) 3)))
(sqrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2))
(pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 3)
(-.f64 (fabs.f64 (cos.f64 (+.f64 eps x))) (cos.f64 x))
(-.f64 (-.f64 (cos.f64 x) (*.f64 eps (sin.f64 x))) (cos.f64 x))
(/.f64 (sin.f64 eps) (/.f64 (-.f64 -1 (cos.f64 eps)) (sin.f64 eps)))
(+.f64 (-.f64 (cos.f64 eps) 1) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
(/.f64 1 (/.f64 (+.f64 (cos.f64 eps) 1) (+.f64 (pow.f64 (cos.f64 eps) 2) -1)))
(fma.f64 (.f64 -1/2 (.f64 eps eps)) (cos.f64 x) (*.f64 eps (neg.f64 (sin.f64 x))))
(+.f64 (.f64 (.f64 -1/2 (cos.f64 x)) (.f64 eps eps)) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
(.f64 -2 (.f64 (sin.f64 (.f64 1/2 (+.f64 eps (-.f64 x x)))) (sin.f64 (.f64 1/2 (fma.f64 2 x eps)))))
(-.f64 (-.f64 (.f64 (+.f64 (.f64 -1/2 (.f64 eps eps)) 1) (cos.f64 x)) (.f64 eps (sin.f64 x))) (cos.f64 x))
(/.f64 (.f64 (-.f64 (cos.f64 (+.f64 (+.f64 (.f64 (fma.f64 2 x eps) -1/2) (.f64 (-.f64 eps x) 1/2)) (.f64 x 1/2))) (cos.f64 x)) -2) 2)
(/.f64 (.f64 (-.f64 (cos.f64 (+.f64 (fabs.f64 (.f64 -3/2 x)) (.f64 x 1/2))) (cos.f64 (+.f64 (.f64 (+.f64 x (-.f64 eps x)) 1/2) (*.f64 (+.f64 eps (+.f64 x x)) 1/2)))) -2) 2)
(/.f64 (.f64 (-.f64 (cos.f64 (+.f64 (+.f64 (.f64 (fma.f64 2 x eps) -1/2) (.f64 (-.f64 eps x) 1/2)) (.f64 x 1/2))) (cos.f64 (+.f64 (.f64 (+.f64 x (-.f64 eps x)) 1/2) (.f64 (+.f64 eps (+.f64 x x)) 1/2)))) -2) 2)
(/.f64 (.f64 (-.f64 (cos.f64 (-.f64 (.f64 (/.f64 1 (/.f64 (+.f64 x (-.f64 x eps)) (-.f64 (.f64 x x) (pow.f64 (-.f64 eps x) 2)))) 1/2) (.f64 (+.f64 eps (+.f64 x x)) 1/2))) (cos.f64 (+.f64 (.f64 (+.f64 x (-.f64 eps x)) 1/2) (.f64 (+.f64 eps (+.f64 x x)) 1/2)))) -2) 2)
(-.f64 (log.f64 (exp.f64 (cos.f64 eps))) (cos.f64 x))
(cbrt.f64 (pow.f64 (+.f64 (cos.f64 x) (cos.f64 eps)) 3))
(log.f64 (exp.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
(-.f64 (expm1.f64 (log1p.f64 (cos.f64 (+.f64 x eps)))) (cos.f64 x))
(-.f64 (log.f64 (exp.f64 (cos.f64 (+.f64 x eps)))) (cos.f64 x))
(cbrt.f64 (pow.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))) 3))
(cbrt.f64 (pow.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 3))
(-.f64 (sqrt.f64 (pow.f64 (cos.f64 (-.f64 x eps)) 2)) (cos.f64 x))
(-.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) 3) (cos.f64 x))
(pow.f64 (cbrt.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))) 3)
(pow.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 3)
(*.f64 (+.f64 (sqrt.f64 (cos.f64 eps)) 1) (-.f64 (sqrt.f64 (cos.f64 eps)) 1))
(+.f64 (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))) (.f64 (sin.f64 x) (sin.f64 eps)))
(+.f64 (+.f64 (neg.f64 (cos.f64 x)) (cos.f64 eps)) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
(+.f64 (+.f64 (neg.f64 (cos.f64 x)) (cos.f64 x)) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
(-.f64 (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))) (.f64 (sin.f64 x) (sin.f64 eps)))
(-.f64 (.f64 (sin.f64 x) (sin.f64 eps)) (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))))
(-.f64 (.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)) (.f64 (sin.f64 eps) (sin.f64 x)))
(+.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
(+.f64 (.f64 (cos.f64 x) (-.f64 (+.f64 (cos.f64 eps) 1) 2)) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
(+.f64 (/.f64 (cos.f64 x) (/.f64 1 (+.f64 (cos.f64 eps) -1))) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
(/.f64 (.f64 (+.f64 (.f64 eps (sin.f64 x)) (+.f64 (+.f64 (.f64 (cos.f64 x) (.f64 1/2 (.f64 eps eps))) (.f64 (sin.f64 x) (*.f64 -1/6 (pow.f64 eps 3)))) 0)) -2) 2)
(.f64 -1 (-.f64 (cos.f64 (.f64 1/2 (+.f64 x (-.f64 (-.f64 eps x) (fma.f64 2 x eps))))) (cos.f64 (*.f64 1/2 (+.f64 x (+.f64 (-.f64 eps x) (fma.f64 2 x eps)))))))
(-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (.f64 (sin.f64 x) (sin.f64 eps))))
(-.f64 (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (cos.f64 x)) (.f64 (sin.f64 eps) (sin.f64 x)))
(-.f64 (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))
(+.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (-.f64 (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))) (cos.f64 x)))
(+.f64 (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (cos.f64 x)) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
(+.f64 (+.f64 (neg.f64 (cos.f64 x)) (.f64 (cos.f64 x) (cos.f64 eps))) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))

Outputs

(-.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)) (*.f64 (sin.f64 eps) (sin.f64 x)))

(+.f64 (*.f64 (*.f64 -1/2 (cos.f64 x)) (*.f64 eps eps)) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))

(-.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)) (*.f64 (sin.f64 eps) (sin.f64 x)))

Calls

3 calls:

147.0ms	x
96.0ms	eps
23.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

Error	Segments	Branch
0.88%	3	`x`
0.84%	3	`eps`
8.45%	1	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`

Compiler

Compiled 1165 to 555 computations (52.4% saved)

bsearch54.0ms (0.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
15.0ms	0.00014332116320232206	0.0002164513431476539
38.0ms	-260.2726340410282	-8.156368069567836e-7

Results

19.0ms	50×	body	1024	valid
18.0ms	123×	body	256	valid
7.0ms	26×	body	512	valid
6.0ms	9×	body	2048	valid

Compiler

Compiled 456 to 335 computations (26.5% saved)

regimes146.0ms (0.9%)

Counts

69 → 1

Calls

Call 1

Inputs
(.f64 -1/2 (.f64 eps eps))
(/.f64 (*.f64 0 -2) 2)
(*.f64 2 (cos.f64 x))
(+.f64 1 (cos.f64 eps))
(-.f64 (cos.f64 eps) 1)
(*.f64 (neg.f64 eps) (sin.f64 x))
(*.f64 (sin.f64 x) (neg.f64 eps))
(-.f64 (cos.f64 eps) (cos.f64 x))
(-.f64 (cos.f64 x) (cos.f64 x))
(+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))
(+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) 1)
(neg.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))))
(-.f64 (+.f64 (cos.f64 eps) -1) (*.f64 x (sin.f64 eps)))
(fma.f64 1/24 (pow.f64 eps 4) (.f64 -1/2 (.f64 eps eps)))
(/.f64 1 (/.f64 1 (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))))
(/.f64 1 (/.f64 1 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
(/.f64 1 (/.f64 1 (-.f64 (cos.f64 (-.f64 x eps)) (cos.f64 x))))
(-.f64 (.f64 (.f64 eps eps) (.f64 -1/2 (cos.f64 x))) (.f64 eps (sin.f64 x)))
(/.f64 (.f64 (-.f64 (cos.f64 x) (cos.f64 (.f64 1/2 (+.f64 (+.f64 eps (*.f64 x 2)) eps)))) -2) 2)
(.f64 -2 (.f64 (sin.f64 (/.f64 (+.f64 eps (-.f64 x x)) 2)) (sin.f64 (/.f64 (+.f64 eps (+.f64 x x)) 2))))
(.f64 (cos.f64 (/.f64 (+.f64 eps (-.f64 x x)) 2)) (.f64 2 (cos.f64 (*.f64 1/2 (+.f64 eps (+.f64 x x))))))
(.f64 (.f64 (sin.f64 (.f64 (+.f64 x (-.f64 eps x)) 1/2)) (sin.f64 (.f64 (+.f64 eps (+.f64 x x)) 1/2))) -2)
(/.f64 (.f64 (-.f64 (cos.f64 (+.f64 (.f64 1/2 x) (+.f64 (.f64 -1/2 x) (.f64 -1 x)))) (cos.f64 x)) -2) 2)
(/.f64 (.f64 (-.f64 (cos.f64 (neg.f64 x)) (cos.f64 (+.f64 (.f64 1/2 (+.f64 eps (.f64 2 x))) (.f64 1/2 eps)))) -2) 2)
(/.f64 (.f64 (-.f64 (cos.f64 (-.f64 (.f64 (+.f64 x (-.f64 eps x)) 1/2) (*.f64 (+.f64 eps (+.f64 x x)) 1/2))) (cos.f64 x)) -2) 2)
(/.f64 (.f64 (-.f64 (cos.f64 (+.f64 0 (.f64 x 1/2))) (cos.f64 (+.f64 (.f64 (+.f64 x (-.f64 eps x)) 1/2) (.f64 (+.f64 eps (+.f64 x x)) 1/2)))) -2) 2)
(/.f64 (.f64 (-.f64 (cos.f64 (+.f64 (.f64 1/2 x) (+.f64 (.f64 -1/2 x) (.f64 -1 x)))) (cos.f64 (+.f64 (.f64 1/2 (+.f64 eps (.f64 2 x))) (*.f64 1/2 eps)))) -2) 2)
(/.f64 (.f64 (-.f64 (cos.f64 (-.f64 (.f64 1/2 eps) (.f64 1/2 (-.f64 eps (.f64 -2 x))))) (cos.f64 (+.f64 (.f64 1/2 (-.f64 eps (.f64 -2 x))) (*.f64 1/2 eps)))) -2) 2)
(/.f64 (-.f64 (cos.f64 (.f64 1/2 (-.f64 (+.f64 x (-.f64 eps x)) (+.f64 (+.f64 eps x) x)))) (cos.f64 (.f64 1/2 (+.f64 (+.f64 x (-.f64 eps x)) (+.f64 (+.f64 eps x) x))))) -1)
(/.f64 (.f64 (-.f64 (cos.f64 (+.f64 (+.f64 (.f64 -1/2 eps) (+.f64 (.f64 -3/2 x) (.f64 1/2 eps))) (.f64 x 1/2))) (cos.f64 (+.f64 (.f64 (+.f64 x (-.f64 eps x)) 1/2) (*.f64 (+.f64 eps (+.f64 x x)) 1/2)))) -2) 2)
(/.f64 (.f64 (-.f64 (cos.f64 (-.f64 (.f64 (+.f64 x (-.f64 eps x)) 1/2) (.f64 (+.f64 eps (+.f64 x x)) 1/2))) (cos.f64 (+.f64 (.f64 (+.f64 x (-.f64 eps x)) 1/2) (*.f64 (+.f64 eps (+.f64 x x)) 1/2)))) -2) 2)
(log.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)))
(log1p.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1)))
(cbrt.f64 (*.f64 8 (pow.f64 (cos.f64 x) 3)))
(sqrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2))
(pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 3)
(-.f64 (fabs.f64 (cos.f64 (+.f64 eps x))) (cos.f64 x))
(-.f64 (-.f64 (cos.f64 x) (*.f64 eps (sin.f64 x))) (cos.f64 x))
(/.f64 (sin.f64 eps) (/.f64 (-.f64 -1 (cos.f64 eps)) (sin.f64 eps)))
(+.f64 (-.f64 (cos.f64 eps) 1) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
(/.f64 1 (/.f64 (+.f64 (cos.f64 eps) 1) (+.f64 (pow.f64 (cos.f64 eps) 2) -1)))
(fma.f64 (.f64 -1/2 (.f64 eps eps)) (cos.f64 x) (*.f64 eps (neg.f64 (sin.f64 x))))
(+.f64 (.f64 (.f64 -1/2 (cos.f64 x)) (.f64 eps eps)) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
(.f64 -2 (.f64 (sin.f64 (.f64 1/2 (+.f64 eps (-.f64 x x)))) (sin.f64 (.f64 1/2 (fma.f64 2 x eps)))))
(-.f64 (-.f64 (.f64 (+.f64 (.f64 -1/2 (.f64 eps eps)) 1) (cos.f64 x)) (.f64 eps (sin.f64 x))) (cos.f64 x))
(/.f64 (.f64 (-.f64 (cos.f64 (+.f64 (+.f64 (.f64 (fma.f64 2 x eps) -1/2) (.f64 (-.f64 eps x) 1/2)) (.f64 x 1/2))) (cos.f64 x)) -2) 2)
(/.f64 (.f64 (-.f64 (cos.f64 (+.f64 (fabs.f64 (.f64 -3/2 x)) (.f64 x 1/2))) (cos.f64 (+.f64 (.f64 (+.f64 x (-.f64 eps x)) 1/2) (*.f64 (+.f64 eps (+.f64 x x)) 1/2)))) -2) 2)
(/.f64 (.f64 (-.f64 (cos.f64 (+.f64 (+.f64 (.f64 (fma.f64 2 x eps) -1/2) (.f64 (-.f64 eps x) 1/2)) (.f64 x 1/2))) (cos.f64 (+.f64 (.f64 (+.f64 x (-.f64 eps x)) 1/2) (.f64 (+.f64 eps (+.f64 x x)) 1/2)))) -2) 2)
(/.f64 (.f64 (-.f64 (cos.f64 (-.f64 (.f64 (/.f64 1 (/.f64 (+.f64 x (-.f64 x eps)) (-.f64 (.f64 x x) (pow.f64 (-.f64 eps x) 2)))) 1/2) (.f64 (+.f64 eps (+.f64 x x)) 1/2))) (cos.f64 (+.f64 (.f64 (+.f64 x (-.f64 eps x)) 1/2) (.f64 (+.f64 eps (+.f64 x x)) 1/2)))) -2) 2)
(-.f64 (log.f64 (exp.f64 (cos.f64 eps))) (cos.f64 x))
(cbrt.f64 (pow.f64 (+.f64 (cos.f64 x) (cos.f64 eps)) 3))
(log.f64 (exp.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
(-.f64 (expm1.f64 (log1p.f64 (cos.f64 (+.f64 x eps)))) (cos.f64 x))
(-.f64 (log.f64 (exp.f64 (cos.f64 (+.f64 x eps)))) (cos.f64 x))
(cbrt.f64 (pow.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))) 3))
(cbrt.f64 (pow.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 3))
(-.f64 (sqrt.f64 (pow.f64 (cos.f64 (-.f64 x eps)) 2)) (cos.f64 x))
(-.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) 3) (cos.f64 x))
(pow.f64 (cbrt.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))) 3)
(pow.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 3)
(*.f64 (+.f64 (sqrt.f64 (cos.f64 eps)) 1) (-.f64 (sqrt.f64 (cos.f64 eps)) 1))
(+.f64 (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))) (.f64 (sin.f64 x) (sin.f64 eps)))
(+.f64 (+.f64 (neg.f64 (cos.f64 x)) (cos.f64 eps)) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
(+.f64 (+.f64 (neg.f64 (cos.f64 x)) (cos.f64 x)) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
(-.f64 (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))) (.f64 (sin.f64 x) (sin.f64 eps)))
(-.f64 (.f64 (sin.f64 x) (sin.f64 eps)) (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))))

Outputs
(.f64 -2 (.f64 (sin.f64 (/.f64 (+.f64 eps (-.f64 x x)) 2)) (sin.f64 (/.f64 (+.f64 eps (+.f64 x x)) 2))))

Calls

3 calls:

72.0ms	x
31.0ms	eps
19.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

Error	Segments	Branch
23.96%	1	`x`
23.96%	1	`eps`
23.96%	1	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`

Compiler

Compiled 961 to 489 computations (49.1% saved)

regimes151.0ms (0.9%)

Counts

22 → 3

Calls

Call 1

Inputs
(.f64 -1/2 (.f64 eps eps))
(/.f64 (*.f64 0 -2) 2)
(*.f64 2 (cos.f64 x))
(+.f64 1 (cos.f64 eps))
(-.f64 (cos.f64 eps) 1)
(*.f64 (neg.f64 eps) (sin.f64 x))
(*.f64 (sin.f64 x) (neg.f64 eps))
(-.f64 (cos.f64 eps) (cos.f64 x))
(-.f64 (cos.f64 x) (cos.f64 x))
(+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))
(+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) 1)
(neg.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))))
(-.f64 (+.f64 (cos.f64 eps) -1) (*.f64 x (sin.f64 eps)))
(fma.f64 1/24 (pow.f64 eps 4) (.f64 -1/2 (.f64 eps eps)))
(/.f64 1 (/.f64 1 (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))))
(/.f64 1 (/.f64 1 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
(/.f64 1 (/.f64 1 (-.f64 (cos.f64 (-.f64 x eps)) (cos.f64 x))))
(-.f64 (.f64 (.f64 eps eps) (.f64 -1/2 (cos.f64 x))) (.f64 eps (sin.f64 x)))
(/.f64 (.f64 (-.f64 (cos.f64 x) (cos.f64 (.f64 1/2 (+.f64 (+.f64 eps (*.f64 x 2)) eps)))) -2) 2)

Outputs
(-.f64 (cos.f64 eps) (cos.f64 x))
(-.f64 (.f64 (.f64 eps eps) (.f64 -1/2 (cos.f64 x))) (.f64 eps (sin.f64 x)))
(-.f64 (cos.f64 eps) (cos.f64 x))

Calls

3 calls:

66.0ms	x
63.0ms	eps
16.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

Error	Segments	Branch
33.42%	3	`x`
23.32%	3	`eps`
24.88%	2	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`

Compiler

Compiled 184 to 90 computations (51.1% saved)

bsearch78.0ms (0.5%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
43.0ms	0.0002164513431476539	0.6446687606685534
35.0ms	-229990.72338755406	-823.5921913270955

Results

41.0ms	64×	body	1024	valid
22.0ms	155×	body	256	valid
9.0ms	34×	body	512	valid
2.0ms	3×	body	2048	valid

Compiler

Compiled 398 to 282 computations (29.1% saved)

regimes110.0ms (0.7%)

Counts

20 → 3

Calls

Call 1

Inputs
(.f64 -1/2 (.f64 eps eps))
(/.f64 (*.f64 0 -2) 2)
(*.f64 2 (cos.f64 x))
(+.f64 1 (cos.f64 eps))
(-.f64 (cos.f64 eps) 1)
(*.f64 (neg.f64 eps) (sin.f64 x))
(*.f64 (sin.f64 x) (neg.f64 eps))
(-.f64 (cos.f64 eps) (cos.f64 x))
(-.f64 (cos.f64 x) (cos.f64 x))
(+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))
(+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) 1)
(neg.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))))
(-.f64 (+.f64 (cos.f64 eps) -1) (*.f64 x (sin.f64 eps)))
(fma.f64 1/24 (pow.f64 eps 4) (.f64 -1/2 (.f64 eps eps)))
(/.f64 1 (/.f64 1 (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))))
(/.f64 1 (/.f64 1 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
(/.f64 1 (/.f64 1 (-.f64 (cos.f64 (-.f64 x eps)) (cos.f64 x))))

Outputs
(-.f64 (cos.f64 eps) (cos.f64 x))
(*.f64 (neg.f64 eps) (sin.f64 x))
(-.f64 (cos.f64 eps) (cos.f64 x))

Calls

3 calls:

62.0ms	eps
29.0ms	x
13.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

Error	Segments	Branch
33.82%	3	`x`
31.21%	3	`eps`
32.62%	2	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`

Compiler

Compiled 154 to 73 computations (52.6% saved)

bsearch85.0ms (0.5%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
40.0ms	2.5456605829395297e-12	0.00014332116320232206
45.0ms	-260.2726340410282	-8.156368069567836e-7

Results

34.0ms	78×	body	1024	valid
24.0ms	169×	body	256	valid
14.0ms	27×	body	512	valid
9.0ms	14×	body	2048	valid

Compiler

Compiled 302 to 226 computations (25.2% saved)

regimes32.0ms (0.2%)

Counts

7 → 3

Calls

Call 1

Inputs
(.f64 -1/2 (.f64 eps eps))
(/.f64 (*.f64 0 -2) 2)
(*.f64 2 (cos.f64 x))
(+.f64 1 (cos.f64 eps))
(-.f64 (cos.f64 eps) 1)
(*.f64 (neg.f64 eps) (sin.f64 x))
(*.f64 (sin.f64 x) (neg.f64 eps))

Outputs
(-.f64 (cos.f64 eps) 1)
(*.f64 (neg.f64 eps) (sin.f64 x))
(-.f64 (cos.f64 eps) 1)

Calls

2 calls:

14.0ms	eps
14.0ms	x

Results

Error	Segments	Branch
37.49%	3	`x`
32.15%	3	`eps`

Compiler

Compiled 40 to 26 computations (35% saved)

bsearch78.0ms (0.5%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
37.0ms	2.5456605829395297e-12	0.00014332116320232206
41.0ms	-260.2726340410282	-8.156368069567836e-7

Results

26.0ms	179×	body	256	valid
22.0ms	51×	body	1024	valid
15.0ms	21×	body	2048	valid
10.0ms	37×	body	512	valid

Compiler

Compiled 284 to 226 computations (20.4% saved)

regimes20.0ms (0.1%)

Counts

5 → 3

Calls

Call 1

Inputs
(.f64 -1/2 (.f64 eps eps))
(/.f64 (*.f64 0 -2) 2)
(*.f64 2 (cos.f64 x))
(+.f64 1 (cos.f64 eps))
(-.f64 (cos.f64 eps) 1)

Outputs
(-.f64 (cos.f64 eps) 1)
(.f64 -1/2 (.f64 eps eps))
(-.f64 (cos.f64 eps) 1)

Calls

2 calls:

14.0ms	eps
4.0ms	x

Results

Error	Segments	Branch
63.38%	1	`x`
56.83%	3	`eps`

Compiler

Compiled 30 to 22 computations (26.7% saved)

bsearch87.0ms (0.5%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
45.0ms	1.6248186367396756e-14	2.5456605829395297e-12
42.0ms	-260.2726340410282	-8.156368069567836e-7

Results

29.0ms	70×	body	1024	valid
24.0ms	17×	body	2048	valid
20.0ms	134×	body	256	valid
10.0ms	35×	body	512	valid

Compiler

Compiled 254 to 202 computations (20.5% saved)

regimes10.0ms (0.1%)

Accuracy

Total -10.4b remaining (-19.8%)

Threshold costs -10.4b (-19.8%)

Counts

4 → 1

Calls

Call 1

Inputs
(.f64 -1/2 (.f64 eps eps))
(/.f64 (*.f64 0 -2) 2)
(*.f64 2 (cos.f64 x))
(+.f64 1 (cos.f64 eps))

Outputs
(.f64 -1/2 (.f64 eps eps))

Calls

2 calls:

5.0ms	eps
4.0ms	x

Results

Error	Segments	Branch
82.07%	1	`x`
82.07%	1	`eps`

Compiler

Compiled 26 to 20 computations (23.1% saved)

simplify24.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

54×	`*-commutative`
50×	`+-commutative`
26×	`sub-neg`
24×	`neg-mul-1`
24×	`neg-sub0`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	94	633
1	157	621
2	190	621
3	210	621
4	225	621
5	230	621
6	233	621
7	234	621

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(+.f64 (/.f64 (/.f64 (.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)) (cos.f64 x)) (sqrt.f64 (+.f64 (cos.f64 eps) 1))) (sqrt.f64 (+.f64 (cos.f64 eps) 1))) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
(if (<=.f64 eps -5764607523034235/1152921504606846976) (-.f64 (.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)) (.f64 (sin.f64 eps) (sin.f64 x))) (if (<=.f64 eps 5418731071652181/1152921504606846976) (+.f64 (.f64 (cos.f64 x) (fma.f64 1/24 (pow.f64 eps 4) (.f64 -1/2 (.f64 eps eps)))) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x)))) (-.f64 (.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)) (.f64 (sin.f64 eps) (sin.f64 x)))))
(if (<=.f64 eps -5534023222112865/36893488147419103232) (-.f64 (.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)) (.f64 (sin.f64 eps) (sin.f64 x))) (if (<=.f64 eps 6640827866535439/36893488147419103232) (+.f64 (.f64 (.f64 -1/2 (cos.f64 x)) (.f64 eps eps)) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x)))) (-.f64 (.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)) (.f64 (sin.f64 eps) (sin.f64 x)))))
(.f64 -2 (.f64 (sin.f64 (/.f64 (+.f64 eps (-.f64 x x)) 2)) (sin.f64 (/.f64 (+.f64 eps (+.f64 x x)) 2))))
(if (<=.f64 eps -830) (-.f64 (cos.f64 eps) (cos.f64 x)) (if (<=.f64 eps 3804640965202595/288230376151711744) (-.f64 (.f64 (.f64 eps eps) (.f64 -1/2 (cos.f64 x))) (.f64 eps (sin.f64 x))) (-.f64 (cos.f64 eps) (cos.f64 x))))
(if (<=.f64 eps -8028023020878397/4722366482869645213696) (-.f64 (cos.f64 eps) (cos.f64 x)) (if (<=.f64 eps 2833419889721787/1180591620717411303424) (*.f64 (neg.f64 eps) (sin.f64 x)) (-.f64 (cos.f64 eps) (cos.f64 x))))
(if (<=.f64 eps -2184094498327211/590295810358705651712) (-.f64 (cos.f64 eps) 1) (if (<=.f64 eps 7673845534663173/1180591620717411303424) (*.f64 (neg.f64 eps) (sin.f64 x)) (-.f64 (cos.f64 eps) 1)))
(if (<=.f64 eps -5534023222112865/36893488147419103232) (-.f64 (cos.f64 eps) 1) (if (<=.f64 eps 6189700196426901/2475880078570760549798248448) (.f64 -1/2 (.f64 eps eps)) (-.f64 (cos.f64 eps) 1)))
(.f64 -1/2 (.f64 eps eps))

Outputs
(+.f64 (/.f64 (/.f64 (.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)) (cos.f64 x)) (sqrt.f64 (+.f64 (cos.f64 eps) 1))) (sqrt.f64 (+.f64 (cos.f64 eps) 1))) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
(+.f64 (/.f64 (/.f64 (neg.f64 (.f64 (pow.f64 (sin.f64 eps) 2) (cos.f64 x))) (sqrt.f64 (+.f64 (cos.f64 eps) 1))) (sqrt.f64 (+.f64 (cos.f64 eps) 1))) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
(-.f64 (/.f64 (/.f64 (neg.f64 (.f64 (pow.f64 (sin.f64 eps) 2) (cos.f64 x))) (sqrt.f64 (+.f64 (cos.f64 eps) 1))) (sqrt.f64 (+.f64 (cos.f64 eps) 1))) (.f64 (sin.f64 eps) (sin.f64 x)))
(if (<=.f64 eps -5764607523034235/1152921504606846976) (-.f64 (.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)) (.f64 (sin.f64 eps) (sin.f64 x))) (if (<=.f64 eps 5418731071652181/1152921504606846976) (+.f64 (.f64 (cos.f64 x) (fma.f64 1/24 (pow.f64 eps 4) (.f64 -1/2 (.f64 eps eps)))) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x)))) (-.f64 (.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)) (.f64 (sin.f64 eps) (sin.f64 x)))))
(if (or (<=.f64 eps -5764607523034235/1152921504606846976) (not (<=.f64 eps 5418731071652181/1152921504606846976))) (-.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 (sin.f64 eps) (sin.f64 x))) (+.f64 (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))) (.f64 (cos.f64 x) (fma.f64 1/24 (pow.f64 eps 4) (.f64 -1/2 (.f64 eps eps))))))
(if (or (<=.f64 eps -5764607523034235/1152921504606846976) (not (<=.f64 eps 5418731071652181/1152921504606846976))) (-.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 (sin.f64 eps) (sin.f64 x))) (-.f64 (.f64 (cos.f64 x) (fma.f64 1/24 (pow.f64 eps 4) (.f64 -1/2 (.f64 eps eps)))) (.f64 (sin.f64 eps) (sin.f64 x))))
(if (<=.f64 eps -5534023222112865/36893488147419103232) (-.f64 (.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)) (.f64 (sin.f64 eps) (sin.f64 x))) (if (<=.f64 eps 6640827866535439/36893488147419103232) (+.f64 (.f64 (.f64 -1/2 (cos.f64 x)) (.f64 eps eps)) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x)))) (-.f64 (.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)) (.f64 (sin.f64 eps) (sin.f64 x)))))
(if (or (<=.f64 eps -5534023222112865/36893488147419103232) (not (<=.f64 eps 6640827866535439/36893488147419103232))) (-.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 (sin.f64 eps) (sin.f64 x))) (+.f64 (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))) (.f64 (.f64 eps eps) (.f64 (cos.f64 x) -1/2))))
(if (or (<=.f64 eps -5534023222112865/36893488147419103232) (not (<=.f64 eps 6640827866535439/36893488147419103232))) (-.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 (sin.f64 eps) (sin.f64 x))) (-.f64 (.f64 (.f64 eps eps) (.f64 (cos.f64 x) -1/2)) (.f64 (sin.f64 eps) (sin.f64 x))))
(.f64 -2 (.f64 (sin.f64 (/.f64 (+.f64 eps (-.f64 x x)) 2)) (sin.f64 (/.f64 (+.f64 eps (+.f64 x x)) 2))))
(if (<=.f64 eps -830) (-.f64 (cos.f64 eps) (cos.f64 x)) (if (<=.f64 eps 3804640965202595/288230376151711744) (-.f64 (.f64 (.f64 eps eps) (.f64 -1/2 (cos.f64 x))) (.f64 eps (sin.f64 x))) (-.f64 (cos.f64 eps) (cos.f64 x))))
(if (or (<=.f64 eps -830) (not (<=.f64 eps 3804640965202595/288230376151711744))) (-.f64 (cos.f64 eps) (cos.f64 x)) (-.f64 (.f64 (.f64 eps eps) (.f64 (cos.f64 x) -1/2)) (.f64 eps (sin.f64 x))))
(if (<=.f64 eps -8028023020878397/4722366482869645213696) (-.f64 (cos.f64 eps) (cos.f64 x)) (if (<=.f64 eps 2833419889721787/1180591620717411303424) (*.f64 (neg.f64 eps) (sin.f64 x)) (-.f64 (cos.f64 eps) (cos.f64 x))))
(if (or (<=.f64 eps -8028023020878397/4722366482869645213696) (not (<=.f64 eps 2833419889721787/1180591620717411303424))) (-.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (neg.f64 eps)))
(if (or (<=.f64 eps -8028023020878397/4722366482869645213696) (not (<=.f64 eps 2833419889721787/1180591620717411303424))) (-.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 eps (neg.f64 (sin.f64 x))))
(if (<=.f64 eps -2184094498327211/590295810358705651712) (-.f64 (cos.f64 eps) 1) (if (<=.f64 eps 7673845534663173/1180591620717411303424) (*.f64 (neg.f64 eps) (sin.f64 x)) (-.f64 (cos.f64 eps) 1)))
(if (or (<=.f64 eps -2184094498327211/590295810358705651712) (not (<=.f64 eps 7673845534663173/1180591620717411303424))) (+.f64 (cos.f64 eps) -1) (*.f64 (sin.f64 x) (neg.f64 eps)))
(if (or (<=.f64 eps -2184094498327211/590295810358705651712) (not (<=.f64 eps 7673845534663173/1180591620717411303424))) (+.f64 (cos.f64 eps) -1) (*.f64 eps (neg.f64 (sin.f64 x))))
(if (<=.f64 eps -5534023222112865/36893488147419103232) (-.f64 (cos.f64 eps) 1) (if (<=.f64 eps 6189700196426901/2475880078570760549798248448) (.f64 -1/2 (.f64 eps eps)) (-.f64 (cos.f64 eps) 1)))
(if (or (<=.f64 eps -5534023222112865/36893488147419103232) (not (<=.f64 eps 6189700196426901/2475880078570760549798248448))) (+.f64 (cos.f64 eps) -1) (.f64 -1/2 (.f64 eps eps)))
(.f64 -1/2 (.f64 eps eps))

Compiler

Compiled 227 to 154 computations (32.2% saved)

soundness89.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1144×	`associate-/l*`
1100×	`associate-r`
982×	`associate-l`
840×	`times-frac`
578×	`associate-/r*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	645	19429
1	1770	18647

Stop Event

1×	node limit

Compiler

Compiled 63 to 37 computations (41.3% saved)

end242.0ms (1.5%)

Compiler: Compiled 211 to 112 computations (46.9% saved)

Iter	Nodes	Cost
0	13	42
1	19	42
2	27	42
3	41	42
4	56	42
5	84	42
6	172	42
7	237	42
8	318	42
9	399	42
10	447	42
11	451	42
0	2	2

Iter	Nodes	Cost
0	9	21
1	12	21
2	17	21
3	25	21
4	34	21
5	51	21
6	103	21
7	143	21
8	187	21
9	230	21
10	254	21
11	256	21

Iter	Nodes	Cost
0	13	42
1	19	42
2	27	42
3	41	42
4	56	42
5	84	42
6	172	42
7	237	42
8	318	42
9	399	42
10	447	42
11	451	42
0	2	2

Iter	Nodes	Cost
0	9	21
1	12	21
2	17	21
3	25	21
4	34	21
5	51	21
6	103	21
7	143	21
8	187	21
9	230	21
10	254	21
11	256	21

Iter	Nodes	Cost
0	13	42
1	19	42
2	27	42
3	41	42
4	56	42
5	84	42
6	172	42
7	237	42
8	318	42
9	399	42
10	447	42
11	451	42
0	2	2

Iter	Nodes	Cost
0	9	21
1	12	21
2	17	21
3	25	21
4	34	21
5	51	21
6	103	21
7	143	21
8	187	21
9	230	21
10	254	21
11	256	21