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)

sample4.1s (21.5%)

Results

1.9s	3970×	body	1024	valid
1.6s	2082×	body	2048	valid
410.0ms	1414×	body	512	valid
135.0ms	788×	body	256	valid
2.0ms	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)

simplify17.0ms (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)

prune2.0ms (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

38.3b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	38.3b	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Compiler

Compiled 9 to 6 computations (33.3% saved)

localize8.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	1.6b	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
✓	3.2b	(cos.f64 (+.f64 x eps))

Compiler

Compiled 20 to 6 computations (70% saved)

series3.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite87.0ms (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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Outputs

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simplify189.0ms (1%)

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))

eval97.0ms (0.5%)

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

prune76.0ms (0.4%)

Pruning

37 alts after pruning (36 fresh and 1 done)

	Pruned	Kept	Total
New	250	36	286
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	250	37	287

Error

0.2b

Counts

287 → 37

Alt Table

Click to see full alt table

Status	Error	Program
	30.0b	(fma.f64 (.f64 -1/2 (.f64 eps eps)) (cos.f64 x) (*.f64 eps (neg.f64 (sin.f64 x))))
	38.6b	(pow.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 3)
	38.6b	(/.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))))
	38.4b	(/.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)))
	38.4b	(/.f64 1 (/.f64 1 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
	24.6b	(-.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))
	24.6b	(-.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps)))) (cos.f64 x))
	30.1b	(-.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)))
	38.8b	(-.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) 3) (cos.f64 x))
	24.7b	(-.f64 (/.f64 (-.f64 (.f64 (pow.f64 (cos.f64 x) 2) (.f64 (cos.f64 eps) (cos.f64 eps))) (.f64 (.f64 (sin.f64 eps) (sin.f64 x)) (.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))
	53.9b	(-.f64 (-.f64 (.f64 (+.f64 (.f64 -1/2 (.f64 eps eps)) 1) (cos.f64 x)) (.f64 eps (sin.f64 x))) (cos.f64 x))
	24.6b	(-.f64 (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))
	38.4b	(-.f64 (-.f64 (exp.f64 (log1p.f64 (cos.f64 (+.f64 x eps)))) 1) (cos.f64 x))
	54.1b	(-.f64 (-.f64 (cos.f64 x) (*.f64 eps (sin.f64 x))) (cos.f64 x))
▶	40.4b	(-.f64 (+.f64 (cos.f64 eps) (-.f64 (.f64 (cos.f64 eps) (.f64 -1/2 (.f64 x x))) (.f64 x (sin.f64 eps)))) (cos.f64 x))
	36.2b	(-.f64 (+.f64 (cos.f64 eps) -1) (*.f64 x (sin.f64 eps)))
	38.4b	(-.f64 (log.f64 (exp.f64 (cos.f64 (+.f64 x eps)))) (cos.f64 x))
▶	44.3b	(-.f64 (fabs.f64 (cos.f64 (+.f64 eps x))) (cos.f64 x))
▶	46.7b	(-.f64 (exp.f64 (log.f64 (cos.f64 (+.f64 x eps)))) (cos.f64 x))
✓	38.3b	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
	38.4b	(-.f64 (cos.f64 (+.f64 eps x)) (-.f64 (exp.f64 (log1p.f64 (cos.f64 x))) 1))
	38.3b	(-.f64 (cos.f64 (+.f64 eps x)) (expm1.f64 (log1p.f64 (cos.f64 x))))
	54.7b	(-.f64 (cos.f64 x) (cos.f64 x))
	38.3b	(-.f64 (cos.f64 eps) (cos.f64 x))
▶	38.2b	(-.f64 (cos.f64 eps) 1)
	38.6b	(-.f64 (cbrt.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3)) (cos.f64 x))
▶	6.6b	(+.f64 (+.f64 (neg.f64 (cos.f64 x)) (.f64 (cos.f64 x) (cos.f64 eps))) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	24.6b	(+.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (-.f64 (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))) (cos.f64 x)))
	30.0b	(+.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))))))
	32.4b	(.f64 (.f64 -2 (sin.f64 (.f64 (+.f64 x (-.f64 eps x)) 1/2))) (sin.f64 (.f64 (+.f64 eps (+.f64 x x)) 1/2)))
	36.0b	(*.f64 (neg.f64 eps) (sin.f64 x))
	38.9b	(.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)))))))
	13.6b	(.f64 -2 (.f64 (sin.f64 (.f64 1/2 (+.f64 eps (-.f64 x x)))) (sin.f64 (.f64 1/2 (fma.f64 2 x eps)))))
	38.4b	(log1p.f64 (expm1.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
	38.4b	(log.f64 (exp.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
	54.5b	(fabs.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
	38.4b	(cbrt.f64 (pow.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 3))

Compiler

Compiled 1191 to 764 computations (35.9% saved)

localize27.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 (cos.f64 x) (cos.f64 eps))
✓	0.1b	(+.f64 (+.f64 (neg.f64 (cos.f64 x)) (.f64 (cos.f64 x) (cos.f64 eps))) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
✓	0.2b	(*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x)))
✓	2.6b	(+.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%)

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)))

rewrite156.0ms (0.8%)

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 (+.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))

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) 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(.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 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(#(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 (cos.f64 eps) -1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps)))) (sqrt.f64 (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps)))) (pow.f64 (cbrt.f64 (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .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)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))) 2) (/.f64 1 (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x 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simplify198.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1320×	`associate-r`
1250×	`associate-l`
1010×	`+-commutative`
830×	`associate-/r*`
798×	`associate-+l+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	844	22979
1	2513	22545

Stop Event

1×	node limit

Counts

417 → 646

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

localize5.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(cos.f64 eps)
✓	2.5b	(-.f64 (cos.f64 eps) 1)

Compiler

Compiled 10 to 6 computations (40% saved)

series1.0ms (0%)

Counts

2 → 8

Calls

6 calls:

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

rewrite84.0ms (0.4%)

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	16
1	142	16
2	1718	16

Stop Event

1×	node limit

Counts

2 → 50

Calls

Call 1

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

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)))))

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

simplify59.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1214×	`associate-/r*`
720×	`*-commutative`
692×	`fma-def`
676×	`unswap-sqr`
540×	`distribute-lft-neg-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	124	1138
1	272	960
2	1156	930
3	4554	930

Stop Event

1×	node limit

Counts

58 → 79

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

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 -1/2 (.f64 eps eps) (fma.f64 1/24 (pow.f64 eps 4) (fma.f64 -1/720 (pow.f64 eps 6) (.f64 1/40320 (pow.f64 eps 8)))))
1
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) 1)
(fma.f64 -1/2 (*.f64 eps eps) 1)
(+.f64 (.f64 1/24 (pow.f64 eps 4)) (+.f64 (.f64 -1/2 (pow.f64 eps 2)) 1))
(fma.f64 1/24 (pow.f64 eps 4) (fma.f64 -1/2 (*.f64 eps eps) 1))
(fma.f64 -1/2 (*.f64 eps eps) (fma.f64 1/24 (pow.f64 eps 4) 1))
(+.f64 (.f64 1/24 (pow.f64 eps 4)) (+.f64 (.f64 -1/2 (pow.f64 eps 2)) (+.f64 1 (*.f64 -1/720 (pow.f64 eps 6)))))
(fma.f64 1/24 (pow.f64 eps 4) (+.f64 (fma.f64 -1/2 (.f64 eps eps) 1) (.f64 -1/720 (pow.f64 eps 6))))
(fma.f64 1/24 (pow.f64 eps 4) (fma.f64 -1/2 (*.f64 eps eps) (fma.f64 -1/720 (pow.f64 eps 6) 1)))
(fma.f64 -1/2 (*.f64 eps eps) (fma.f64 1/24 (pow.f64 eps 4) (fma.f64 -1/720 (pow.f64 eps 6) 1)))
(+.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 1 (cos.f64 eps))))
(/.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 2)) (+.f64 1 (cos.f64 eps)))
(/.f64 (*.f64 (sin.f64 eps) (sin.f64 eps)) (-.f64 -1 (cos.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 1 (cos.f64 eps)))))
(/.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (+.f64 1 (*.f64 (cos.f64 eps) (+.f64 1 (cos.f64 eps)))))
(/.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (fma.f64 (cos.f64 eps) (+.f64 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 1 (cos.f64 eps))))
(/.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 2)) (+.f64 1 (cos.f64 eps)))
(/.f64 (*.f64 (sin.f64 eps) (sin.f64 eps)) (-.f64 -1 (cos.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 1 (cos.f64 eps)))))
(/.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (+.f64 1 (*.f64 (cos.f64 eps) (+.f64 1 (cos.f64 eps)))))
(/.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (fma.f64 (cos.f64 eps) (+.f64 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 1 (cos.f64 eps))))
(/.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 2)) (+.f64 1 (cos.f64 eps)))
(/.f64 (*.f64 (sin.f64 eps) (sin.f64 eps)) (-.f64 -1 (cos.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 1 (cos.f64 eps))))
(/.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 2)) (+.f64 1 (cos.f64 eps)))
(/.f64 (*.f64 (sin.f64 eps) (sin.f64 eps)) (-.f64 -1 (cos.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 1 (cos.f64 eps)))))
(/.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (+.f64 1 (*.f64 (cos.f64 eps) (+.f64 1 (cos.f64 eps)))))
(/.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (fma.f64 (cos.f64 eps) (+.f64 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 1 (cos.f64 eps)))))
(/.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (+.f64 1 (*.f64 (cos.f64 eps) (+.f64 1 (cos.f64 eps)))))
(/.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (fma.f64 (cos.f64 eps) (+.f64 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 1 (cos.f64 eps))))
(/.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 2)) (+.f64 1 (cos.f64 eps)))
(/.f64 (*.f64 (sin.f64 eps) (sin.f64 eps)) (-.f64 -1 (cos.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 1 (cos.f64 eps)))))
(/.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (+.f64 1 (*.f64 (cos.f64 eps) (+.f64 1 (cos.f64 eps)))))
(/.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (fma.f64 (cos.f64 eps) (+.f64 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)))
(+.f64 (cos.f64 eps) -1)
(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)
(+.f64 1 (+.f64 (cos.f64 eps) -1))
(+.f64 (cos.f64 eps) 0)
(cos.f64 eps)
(-.f64 (+.f64 (cos.f64 eps) 1) 1)
(+.f64 (cos.f64 eps) 0)
(cos.f64 eps)
(*.f64 (cos.f64 eps) 1)
(+.f64 (cos.f64 eps) 0)
(cos.f64 eps)
(*.f64 1 (cos.f64 eps))
(+.f64 (cos.f64 eps) 0)
(cos.f64 eps)
(*.f64 (sqrt.f64 (cos.f64 eps)) (sqrt.f64 (cos.f64 eps)))
(+.f64 (cos.f64 eps) 0)
(cos.f64 eps)
(.f64 (sqrt.f64 (cos.f64 eps)) (.f64 (sqrt.f64 (cos.f64 eps)) 1))
(+.f64 (cos.f64 eps) 0)
(cos.f64 eps)
(*.f64 (cbrt.f64 (cos.f64 eps)) (pow.f64 (cbrt.f64 (cos.f64 eps)) 2))
(+.f64 (cos.f64 eps) 0)
(cos.f64 eps)
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 eps)) 2) (cbrt.f64 (cos.f64 eps)))
(+.f64 (cos.f64 eps) 0)
(cos.f64 eps)
(.f64 (pow.f64 (cbrt.f64 (cos.f64 eps)) 2) (.f64 (cbrt.f64 (cos.f64 eps)) 1))
(+.f64 (cos.f64 eps) 0)
(cos.f64 eps)
(pow.f64 (cos.f64 eps) 1)
(+.f64 (cos.f64 eps) 0)
(cos.f64 eps)
(pow.f64 (sqrt.f64 (cos.f64 eps)) 2)
(+.f64 (cos.f64 eps) 0)
(cos.f64 eps)
(pow.f64 (cbrt.f64 (cos.f64 eps)) 3)
(+.f64 (cos.f64 eps) 0)
(cos.f64 eps)
(pow.f64 (pow.f64 (cos.f64 eps) 3) 1/3)
(+.f64 (cos.f64 eps) 0)
(cos.f64 eps)
(sqrt.f64 (pow.f64 (cos.f64 eps) 2))
(+.f64 (cos.f64 eps) 0)
(cos.f64 eps)
(log.f64 (exp.f64 (cos.f64 eps)))
(+.f64 (cos.f64 eps) 0)
(cos.f64 eps)
(cbrt.f64 (pow.f64 (cos.f64 eps) 3))
(+.f64 (cos.f64 eps) 0)
(cos.f64 eps)
(expm1.f64 (log1p.f64 (cos.f64 eps)))
(+.f64 (cos.f64 eps) 0)
(cos.f64 eps)
(exp.f64 (log.f64 (cos.f64 eps)))
(+.f64 (cos.f64 eps) 0)
(cos.f64 eps)
(log1p.f64 (expm1.f64 (cos.f64 eps)))
(+.f64 (cos.f64 eps) 0)
(cos.f64 eps)

localize10.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	1.8b	(-.f64 (fabs.f64 (cos.f64 (+.f64 eps x))) (cos.f64 x))
✓	3.2b	(cos.f64 (+.f64 eps x))

Compiler

Compiled 26 to 7 computations (73.1% saved)

series1.0ms (0%)

Counts

2 → 28

Calls

12 calls:

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

rewrite125.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1014×	`*-commutative`
828×	`associate-*r/`
676×	`distribute-lft-in`
664×	`distribute-rgt-in`
638×	`associate-*l/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	36
1	223	32
2	3151	32

Stop Event

1×	node limit

Counts

2 → 158

Calls

Call 1

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

Outputs

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

simplify129.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1342×	`+-commutative`
1290×	`associate-+r-`
948×	`associate--r+`
890×	`fma-def`
600×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	438	10256
1	1222	9398
2	6012	9398

Stop Event

1×	node limit

Counts

186 → 280

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

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

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(exp.f64 (log.f64 (cos.f64 (+.f64 x eps))))
✓	2.1b	(log.f64 (cos.f64 (+.f64 x eps)))
✓	2.6b	(-.f64 (exp.f64 (log.f64 (cos.f64 (+.f64 x eps)))) (cos.f64 x))
	3.2b	(cos.f64 (+.f64 x eps))

Compiler

Compiled 33 to 8 computations (75.8% saved)

series80.0ms (0.4%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
27.0ms	eps	@	-inf	(log.f64 (cos.f64 (+.f64 x eps)))
26.0ms	x	@	inf	(log.f64 (cos.f64 (+.f64 x eps)))
15.0ms	x	@	-inf	(log.f64 (cos.f64 (+.f64 x eps)))
10.0ms	eps	@	inf	(log.f64 (cos.f64 (+.f64 x eps)))
1.0ms	x	@	0	(log.f64 (cos.f64 (+.f64 x eps)))

rewrite114.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1060×	`*-commutative`
828×	`associate-*r/`
694×	`distribute-lft-in`
680×	`distribute-rgt-in`
634×	`associate-*l/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	47
1	231	47
2	3066	47

Stop Event

1×	node limit

Counts

3 → 179

Calls

Call 1

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

Outputs

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

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

simplify180.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1300×	`associate-+l-`
1130×	`associate-+r-`
918×	`fma-def`
684×	`associate-r`
562×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	534	11693
1	1463	11283
2	6810	11275

Stop Event

1×	node limit

Counts

251 → 345

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

localize35.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (.f64 (cos.f64 eps) (.f64 -1/2 (.f64 x x))) (.f64 x (sin.f64 eps)))
✓	0.1b	(.f64 (cos.f64 eps) (.f64 -1/2 (*.f64 x x)))
✓	0.1b	(*.f64 x (sin.f64 eps))
✓	1.7b	(-.f64 (+.f64 (cos.f64 eps) (-.f64 (.f64 (cos.f64 eps) (.f64 -1/2 (.f64 x x))) (.f64 x (sin.f64 eps)))) (cos.f64 x))

Compiler

Compiled 79 to 28 computations (64.6% saved)

series6.0ms (0%)

Counts

4 → 88

Calls

24 calls:

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

rewrite162.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1722×	`associate-*l/`
938×	`associate-+l+`
434×	`+-commutative`
390×	`add-sqr-sqrt`
384×	`associate-+r+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	132
1	363	128
2	5217	128

Stop Event

1×	node limit

Counts

4 → 331

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 eps) (-.f64 (.f64 (cos.f64 eps) (.f64 -1/2 (.f64 x x))) (+.f64 (.f64 x (sin.f64 eps)) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 eps) (.f64 (-.f64 (.f64 (cos.f64 eps) (.f64 -1/2 (.f64 x x))) (+.f64 (.f64 x (sin.f64 eps)) (cos.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 eps) (+.f64 (-.f64 (.f64 (cos.f64 eps) (.f64 -1/2 (.f64 x x))) (.f64 x (sin.f64 eps))) (.f64 (neg.f64 (cos.f64 x)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 eps) (+.f64 (.f64 (-.f64 (.f64 (cos.f64 eps) (.f64 -1/2 (.f64 x x))) (+.f64 (.f64 x (sin.f64 eps)) (cos.f64 x))) 1) (fma.f64 (neg.f64 (cos.f64 x)) 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 eps) (+.f64 (.f64 (-.f64 (.f64 (cos.f64 eps) (.f64 -1/2 (.f64 x x))) (+.f64 (.f64 x (sin.f64 eps)) (cos.f64 x))) 1) (fma.f64 (neg.f64 (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)) (cos.f64 x))))))) (#(struct:change 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(+.f64 (cos.f64 eps) (neg.f64 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (.f64 (cos.f64 eps) (.f64 -1/2 (.f64 x x))) (.f64 x (sin.f64 eps))) (+.f64 (+.f64 (fma.f64 (neg.f64 (sin.f64 eps)) x (.f64 x (sin.f64 eps))) (fma.f64 (neg.f64 (sin.f64 eps)) x (.f64 x (sin.f64 eps)))) (+.f64 (cos.f64 eps) (neg.f64 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (.f64 (cos.f64 eps) (.f64 -1/2 (.f64 x x))) (.f64 x (sin.f64 eps))) (+.f64 (.f64 (fma.f64 (neg.f64 (sin.f64 eps)) x (.f64 x (sin.f64 eps))) 1) (+.f64 (cos.f64 eps) (neg.f64 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (.f64 (cos.f64 eps) (.f64 -1/2 (.f64 x x))) (.f64 x (sin.f64 eps))) (+.f64 (fma.f64 (neg.f64 x) (sin.f64 eps) (.f64 x (sin.f64 eps))) (+.f64 (cos.f64 eps) (neg.f64 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (.f64 (cos.f64 eps) (.f64 -1/2 (.f64 x x))) (.f64 x (sin.f64 eps))) (+.f64 (fma.f64 (.f64 x (neg.f64 (sin.f64 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simplify230.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1194×	`associate-+r+`
1158×	`associate-+l+`
1072×	`+-commutative`
820×	`associate-r`
694×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	851	31357
1	2542	28477

Stop Event

1×	node limit

Counts

419 → 513

Calls

Call 1

Inputs
(-.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 x 2))) (cos.f64 x))
(-.f64 (+.f64 (.f64 -1 (.f64 eps x)) (+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))) (cos.f64 x))
(-.f64 (+.f64 (.f64 -1 (.f64 eps x)) (+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 (pow.f64 eps 2) (-.f64 (*.f64 1/4 (pow.f64 x 2)) 1/2))))) (cos.f64 x))
(-.f64 (+.f64 (.f64 -1 (.f64 eps x)) (+.f64 1 (+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) x)) (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 (pow.f64 eps 2) (-.f64 (*.f64 1/4 (pow.f64 x 2)) 1/2)))))) (cos.f64 x))
(-.f64 (+.f64 (cos.f64 eps) (.f64 -1/2 (.f64 (cos.f64 eps) (pow.f64 x 2)))) (+.f64 (cos.f64 x) (*.f64 (sin.f64 eps) x)))
(-.f64 (+.f64 (cos.f64 eps) (.f64 -1/2 (.f64 (cos.f64 eps) (pow.f64 x 2)))) (+.f64 (cos.f64 x) (*.f64 (sin.f64 eps) x)))
(-.f64 (+.f64 (cos.f64 eps) (.f64 -1/2 (.f64 (cos.f64 eps) (pow.f64 x 2)))) (+.f64 (cos.f64 x) (*.f64 (sin.f64 eps) x)))
(-.f64 (+.f64 (cos.f64 eps) (.f64 -1/2 (.f64 (cos.f64 eps) (pow.f64 x 2)))) (+.f64 (cos.f64 x) (*.f64 (sin.f64 eps) x)))
(-.f64 (+.f64 (cos.f64 eps) (.f64 -1/2 (.f64 (cos.f64 eps) (pow.f64 x 2)))) (+.f64 (cos.f64 x) (*.f64 (sin.f64 eps) x)))
(-.f64 (+.f64 (cos.f64 eps) (.f64 -1/2 (.f64 (cos.f64 eps) (pow.f64 x 2)))) (+.f64 (cos.f64 x) (*.f64 (sin.f64 eps) x)))
(-.f64 (+.f64 (cos.f64 eps) (.f64 -1/2 (.f64 (cos.f64 eps) (pow.f64 x 2)))) (+.f64 (cos.f64 x) (*.f64 (sin.f64 eps) x)))
(-.f64 (+.f64 (cos.f64 eps) (.f64 -1/2 (.f64 (cos.f64 eps) (pow.f64 x 2)))) (+.f64 (cos.f64 x) (*.f64 (sin.f64 eps) x)))
(-.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 -1/24 (pow.f64 x 4)) (+.f64 (.f64 -1 (.f64 x (sin.f64 eps))) (.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2))))) 1)
(.f64 -1/2 (.f64 (cos.f64 eps) (pow.f64 x 2)))
(+.f64 (.f64 -1/2 (.f64 (cos.f64 eps) (pow.f64 x 2))) (.f64 -1 (.f64 x (sin.f64 eps))))
(-.f64 (+.f64 (cos.f64 eps) (+.f64 (.f64 -1/2 (.f64 (cos.f64 eps) (pow.f64 x 2))) (.f64 -1 (.f64 x (sin.f64 eps))))) (cos.f64 x))
(-.f64 (+.f64 (cos.f64 eps) (+.f64 (.f64 -1/2 (.f64 (cos.f64 eps) (pow.f64 x 2))) (.f64 -1 (.f64 x (sin.f64 eps))))) (cos.f64 x))
(.f64 -1/2 (.f64 (cos.f64 eps) (pow.f64 x 2)))
(+.f64 (.f64 -1/2 (.f64 (cos.f64 eps) (pow.f64 x 2))) (.f64 -1 (.f64 x (sin.f64 eps))))
(-.f64 (+.f64 (cos.f64 eps) (+.f64 (.f64 -1/2 (.f64 (cos.f64 eps) (pow.f64 x 2))) (.f64 -1 (.f64 x (sin.f64 eps))))) (cos.f64 x))
(-.f64 (+.f64 (cos.f64 eps) (+.f64 (.f64 -1/2 (.f64 (cos.f64 eps) (pow.f64 x 2))) (.f64 -1 (.f64 x (sin.f64 eps))))) (cos.f64 x))
(*.f64 (sin.f64 eps) x)
(*.f64 (sin.f64 eps) x)
(*.f64 (sin.f64 eps) x)
(*.f64 (sin.f64 eps) x)
(*.f64 (sin.f64 eps) x)
(*.f64 (sin.f64 eps) x)
(*.f64 (sin.f64 eps) x)
(*.f64 (sin.f64 eps) x)
(*.f64 (sin.f64 eps) x)
(*.f64 (sin.f64 eps) x)
(*.f64 (sin.f64 eps) x)
(*.f64 (sin.f64 eps) x)
(*.f64 eps x)
(+.f64 (.f64 eps x) (.f64 -1/6 (*.f64 (pow.f64 eps 3) x)))
(+.f64 (.f64 1/120 (.f64 (pow.f64 eps 5) x)) (+.f64 (.f64 eps x) (.f64 -1/6 (*.f64 (pow.f64 eps 3) x))))
(+.f64 (.f64 1/120 (.f64 (pow.f64 eps 5) x)) (+.f64 (.f64 eps x) (+.f64 (.f64 -1/6 (.f64 (pow.f64 eps 3) x)) (.f64 -1/5040 (*.f64 (pow.f64 eps 7) x)))))
(*.f64 -1/2 (pow.f64 x 2))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 1/4 (*.f64 (pow.f64 eps 2) (pow.f64 x 2))))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 1/4 (.f64 (pow.f64 eps 2) (pow.f64 x 2))) (.f64 -1/48 (*.f64 (pow.f64 eps 4) (pow.f64 x 2)))))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 1/1440 (.f64 (pow.f64 eps 6) (pow.f64 x 2))) (+.f64 (.f64 1/4 (.f64 (pow.f64 eps 2) (pow.f64 x 2))) (.f64 -1/48 (*.f64 (pow.f64 eps 4) (pow.f64 x 2))))))
(.f64 -1/2 (.f64 (cos.f64 eps) (pow.f64 x 2)))
(.f64 -1/2 (.f64 (cos.f64 eps) (pow.f64 x 2)))
(.f64 -1/2 (.f64 (cos.f64 eps) (pow.f64 x 2)))
(.f64 -1/2 (.f64 (cos.f64 eps) (pow.f64 x 2)))
(.f64 -1/2 (.f64 (cos.f64 eps) (pow.f64 x 2)))
(.f64 -1/2 (.f64 (cos.f64 eps) (pow.f64 x 2)))
(.f64 -1/2 (.f64 (cos.f64 eps) (pow.f64 x 2)))
(.f64 -1/2 (.f64 (cos.f64 eps) (pow.f64 x 2)))
(.f64 -1/2 (.f64 (cos.f64 eps) (pow.f64 x 2)))
(.f64 -1/2 (.f64 (cos.f64 eps) (pow.f64 x 2)))
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(fma.f64 (sqrt.f64 (-.f64 (.f64 (cos.f64 eps) (.f64 -1/2 (.f64 x x))) (.f64 x (sin.f64 eps)))) (sqrt.f64 (-.f64 (.f64 (cos.f64 eps) (.f64 -1/2 (.f64 x x))) (.f64 x (sin.f64 eps)))) (fma.f64 (neg.f64 (sin.f64 eps)) x (*.f64 x (sin.f64 eps))))
(fma.f64 (.f64 (sqrt.f64 (.f64 (cos.f64 eps) -1/2)) x) (.f64 (sqrt.f64 (.f64 (cos.f64 eps) -1/2)) x) (*.f64 x (neg.f64 (sin.f64 eps))))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 (cos.f64 eps) (.f64 -1/2 (.f64 x x))) (.f64 x (sin.f64 eps)))) 2) (cbrt.f64 (-.f64 (.f64 (cos.f64 eps) (.f64 -1/2 (.f64 x x))) (.f64 x (sin.f64 eps)))) (fma.f64 (neg.f64 (sin.f64 eps)) x (*.f64 x (sin.f64 eps))))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 eps) (.f64 -1/2 (.f64 x x)))) 2) (cbrt.f64 (.f64 (cos.f64 eps) (.f64 -1/2 (.f64 x x)))) (*.f64 x (neg.f64 (sin.f64 eps))))
(fma.f64 (.f64 (cos.f64 eps) -1/2) (.f64 x x) (*.f64 x (neg.f64 (sin.f64 eps))))

Outputs
(-.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 x 2))) (cos.f64 x))
(-.f64 (fma.f64 -1/2 (*.f64 x x) 1) (cos.f64 x))
(-.f64 (+.f64 (.f64 -1 (.f64 eps x)) (+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))) (cos.f64 x))
(-.f64 (fma.f64 -1 (.f64 x eps) (fma.f64 -1/2 (.f64 x x) 1)) (cos.f64 x))
(-.f64 (+.f64 (.f64 -1 (.f64 eps x)) (+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 (pow.f64 eps 2) (-.f64 (*.f64 1/4 (pow.f64 x 2)) 1/2))))) (cos.f64 x))
(-.f64 (fma.f64 -1 (.f64 x eps) (+.f64 1 (fma.f64 -1/2 (.f64 x x) (.f64 (.f64 eps eps) (fma.f64 1/4 (*.f64 x x) -1/2))))) (cos.f64 x))
(-.f64 (+.f64 (fma.f64 -1 (.f64 x eps) (fma.f64 -1/2 (.f64 x x) 1)) (.f64 (.f64 eps eps) (fma.f64 1/4 (*.f64 x x) -1/2))) (cos.f64 x))
(-.f64 (+.f64 (.f64 -1 (.f64 eps x)) (+.f64 1 (+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) x)) (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 (pow.f64 eps 2) (-.f64 (*.f64 1/4 (pow.f64 x 2)) 1/2)))))) (cos.f64 x))
(-.f64 (fma.f64 -1 (.f64 x eps) (+.f64 1 (fma.f64 1/6 (.f64 x (pow.f64 eps 3)) (fma.f64 -1/2 (.f64 x x) (.f64 (.f64 eps eps) (fma.f64 1/4 (.f64 x x) -1/2)))))) (cos.f64 x))
(-.f64 (+.f64 (cos.f64 eps) (.f64 -1/2 (.f64 (cos.f64 eps) (pow.f64 x 2)))) (+.f64 (cos.f64 x) (*.f64 (sin.f64 eps) x)))
(fma.f64 (cos.f64 eps) (.f64 -1/2 (.f64 x x)) (-.f64 (cos.f64 eps) (fma.f64 x (sin.f64 eps) (cos.f64 x))))
(-.f64 (.f64 (cos.f64 eps) (fma.f64 -1/2 (.f64 x x) 1)) (fma.f64 x (sin.f64 eps) (cos.f64 x)))
(-.f64 (+.f64 (cos.f64 eps) (.f64 -1/2 (.f64 (cos.f64 eps) (pow.f64 x 2)))) (+.f64 (cos.f64 x) (*.f64 (sin.f64 eps) x)))
(fma.f64 (cos.f64 eps) (.f64 -1/2 (.f64 x x)) (-.f64 (cos.f64 eps) (fma.f64 x (sin.f64 eps) (cos.f64 x))))
(-.f64 (.f64 (cos.f64 eps) (fma.f64 -1/2 (.f64 x x) 1)) (fma.f64 x (sin.f64 eps) (cos.f64 x)))
(-.f64 (+.f64 (cos.f64 eps) (.f64 -1/2 (.f64 (cos.f64 eps) (pow.f64 x 2)))) (+.f64 (cos.f64 x) (*.f64 (sin.f64 eps) x)))
(fma.f64 (cos.f64 eps) (.f64 -1/2 (.f64 x x)) (-.f64 (cos.f64 eps) (fma.f64 x (sin.f64 eps) (cos.f64 x))))
(-.f64 (.f64 (cos.f64 eps) (fma.f64 -1/2 (.f64 x x) 1)) (fma.f64 x (sin.f64 eps) (cos.f64 x)))
(-.f64 (+.f64 (cos.f64 eps) (.f64 -1/2 (.f64 (cos.f64 eps) (pow.f64 x 2)))) (+.f64 (cos.f64 x) (*.f64 (sin.f64 eps) x)))
(fma.f64 (cos.f64 eps) (.f64 -1/2 (.f64 x x)) (-.f64 (cos.f64 eps) (fma.f64 x (sin.f64 eps) (cos.f64 x))))
(-.f64 (.f64 (cos.f64 eps) (fma.f64 -1/2 (.f64 x x) 1)) (fma.f64 x (sin.f64 eps) (cos.f64 x)))
(-.f64 (+.f64 (cos.f64 eps) (.f64 -1/2 (.f64 (cos.f64 eps) (pow.f64 x 2)))) (+.f64 (cos.f64 x) (*.f64 (sin.f64 eps) x)))
(fma.f64 (cos.f64 eps) (.f64 -1/2 (.f64 x x)) (-.f64 (cos.f64 eps) (fma.f64 x (sin.f64 eps) (cos.f64 x))))
(-.f64 (.f64 (cos.f64 eps) (fma.f64 -1/2 (.f64 x x) 1)) (fma.f64 x (sin.f64 eps) (cos.f64 x)))
(-.f64 (+.f64 (cos.f64 eps) (.f64 -1/2 (.f64 (cos.f64 eps) (pow.f64 x 2)))) (+.f64 (cos.f64 x) (*.f64 (sin.f64 eps) x)))
(fma.f64 (cos.f64 eps) (.f64 -1/2 (.f64 x x)) (-.f64 (cos.f64 eps) (fma.f64 x (sin.f64 eps) (cos.f64 x))))
(-.f64 (.f64 (cos.f64 eps) (fma.f64 -1/2 (.f64 x x) 1)) (fma.f64 x (sin.f64 eps) (cos.f64 x)))
(-.f64 (+.f64 (cos.f64 eps) (.f64 -1/2 (.f64 (cos.f64 eps) (pow.f64 x 2)))) (+.f64 (cos.f64 x) (*.f64 (sin.f64 eps) x)))
(fma.f64 (cos.f64 eps) (.f64 -1/2 (.f64 x x)) (-.f64 (cos.f64 eps) (fma.f64 x (sin.f64 eps) (cos.f64 x))))
(-.f64 (.f64 (cos.f64 eps) (fma.f64 -1/2 (.f64 x x) 1)) (fma.f64 x (sin.f64 eps) (cos.f64 x)))
(-.f64 (+.f64 (cos.f64 eps) (.f64 -1/2 (.f64 (cos.f64 eps) (pow.f64 x 2)))) (+.f64 (cos.f64 x) (*.f64 (sin.f64 eps) x)))
(fma.f64 (cos.f64 eps) (.f64 -1/2 (.f64 x x)) (-.f64 (cos.f64 eps) (fma.f64 x (sin.f64 eps) (cos.f64 x))))
(-.f64 (.f64 (cos.f64 eps) (fma.f64 -1/2 (.f64 x x) 1)) (fma.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 (*.f64 x (neg.f64 (sin.f64 eps))) 1))
(+.f64 (cos.f64 eps) (+.f64 (*.f64 x (neg.f64 (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) (fma.f64 -1 (.f64 x (sin.f64 eps)) (.f64 (.f64 x x) (+.f64 1/2 (.f64 -1/2 (cos.f64 eps)))))) -1)
(+.f64 (fma.f64 -1 (.f64 x (sin.f64 eps)) (.f64 x (.f64 x (+.f64 1/2 (.f64 -1/2 (cos.f64 eps)))))) (+.f64 -1 (cos.f64 eps)))
(-.f64 (+.f64 (cos.f64 eps) (+.f64 (.f64 -1/24 (pow.f64 x 4)) (+.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 -1/24 (pow.f64 x 4) (fma.f64 -1 (.f64 x (sin.f64 eps)) (.f64 (.f64 x x) (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))))))) -1)
(+.f64 (fma.f64 -1/24 (pow.f64 x 4) (fma.f64 -1 (.f64 x (sin.f64 eps)) (.f64 x (.f64 x (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))))))) (+.f64 -1 (cos.f64 eps)))
(.f64 -1/2 (.f64 (cos.f64 eps) (pow.f64 x 2)))
(.f64 (.f64 -1/2 (cos.f64 eps)) (*.f64 x x))
(.f64 (.f64 x x) (*.f64 -1/2 (cos.f64 eps)))
(+.f64 (.f64 -1/2 (.f64 (cos.f64 eps) (pow.f64 x 2))) (.f64 -1 (.f64 x (sin.f64 eps))))
(-.f64 (.f64 (.f64 -1/2 (cos.f64 eps)) (.f64 x x)) (.f64 x (sin.f64 eps)))
(fma.f64 (cos.f64 eps) (.f64 -1/2 (.f64 x x)) (*.f64 x (neg.f64 (sin.f64 eps))))
(-.f64 (+.f64 (cos.f64 eps) (+.f64 (.f64 -1/2 (.f64 (cos.f64 eps) (pow.f64 x 2))) (.f64 -1 (.f64 x (sin.f64 eps))))) (cos.f64 x))
(fma.f64 (cos.f64 eps) (.f64 -1/2 (.f64 x x)) (-.f64 (cos.f64 eps) (fma.f64 x (sin.f64 eps) (cos.f64 x))))
(-.f64 (.f64 (cos.f64 eps) (fma.f64 -1/2 (.f64 x x) 1)) (fma.f64 x (sin.f64 eps) (cos.f64 x)))
(-.f64 (+.f64 (cos.f64 eps) (+.f64 (.f64 -1/2 (.f64 (cos.f64 eps) (pow.f64 x 2))) (.f64 -1 (.f64 x (sin.f64 eps))))) (cos.f64 x))
(fma.f64 (cos.f64 eps) (.f64 -1/2 (.f64 x x)) (-.f64 (cos.f64 eps) (fma.f64 x (sin.f64 eps) (cos.f64 x))))
(-.f64 (.f64 (cos.f64 eps) (fma.f64 -1/2 (.f64 x x) 1)) (fma.f64 x (sin.f64 eps) (cos.f64 x)))
(.f64 -1/2 (.f64 (cos.f64 eps) (pow.f64 x 2)))
(.f64 (.f64 -1/2 (cos.f64 eps)) (*.f64 x x))
(.f64 (.f64 x x) (*.f64 -1/2 (cos.f64 eps)))
(+.f64 (.f64 -1/2 (.f64 (cos.f64 eps) (pow.f64 x 2))) (.f64 -1 (.f64 x (sin.f64 eps))))
(-.f64 (.f64 (.f64 -1/2 (cos.f64 eps)) (.f64 x x)) (.f64 x (sin.f64 eps)))
(fma.f64 (cos.f64 eps) (.f64 -1/2 (.f64 x x)) (*.f64 x (neg.f64 (sin.f64 eps))))
(-.f64 (+.f64 (cos.f64 eps) (+.f64 (.f64 -1/2 (.f64 (cos.f64 eps) (pow.f64 x 2))) (.f64 -1 (.f64 x (sin.f64 eps))))) (cos.f64 x))
(fma.f64 (cos.f64 eps) (.f64 -1/2 (.f64 x x)) (-.f64 (cos.f64 eps) (fma.f64 x (sin.f64 eps) (cos.f64 x))))
(-.f64 (.f64 (cos.f64 eps) (fma.f64 -1/2 (.f64 x x) 1)) (fma.f64 x (sin.f64 eps) (cos.f64 x)))
(-.f64 (+.f64 (cos.f64 eps) (+.f64 (.f64 -1/2 (.f64 (cos.f64 eps) (pow.f64 x 2))) (.f64 -1 (.f64 x (sin.f64 eps))))) (cos.f64 x))
(fma.f64 (cos.f64 eps) (.f64 -1/2 (.f64 x x)) (-.f64 (cos.f64 eps) (fma.f64 x (sin.f64 eps) (cos.f64 x))))
(-.f64 (.f64 (cos.f64 eps) (fma.f64 -1/2 (.f64 x x) 1)) (fma.f64 x (sin.f64 eps) (cos.f64 x)))
(*.f64 (sin.f64 eps) x)
(*.f64 x (sin.f64 eps))
(*.f64 (sin.f64 eps) x)
(*.f64 x (sin.f64 eps))
(*.f64 (sin.f64 eps) x)
(*.f64 x (sin.f64 eps))
(*.f64 (sin.f64 eps) x)
(*.f64 x (sin.f64 eps))
(*.f64 (sin.f64 eps) x)
(*.f64 x (sin.f64 eps))
(*.f64 (sin.f64 eps) x)
(*.f64 x (sin.f64 eps))
(*.f64 (sin.f64 eps) x)
(*.f64 x (sin.f64 eps))
(*.f64 (sin.f64 eps) x)
(*.f64 x (sin.f64 eps))
(*.f64 (sin.f64 eps) x)
(*.f64 x (sin.f64 eps))
(*.f64 (sin.f64 eps) x)
(*.f64 x (sin.f64 eps))
(*.f64 (sin.f64 eps) x)
(*.f64 x (sin.f64 eps))
(*.f64 (sin.f64 eps) x)
(*.f64 x (sin.f64 eps))
(*.f64 eps x)
(*.f64 x eps)
(+.f64 (.f64 eps x) (.f64 -1/6 (*.f64 (pow.f64 eps 3) x)))
(fma.f64 eps x (.f64 (.f64 x (pow.f64 eps 3)) -1/6))
(.f64 x (+.f64 eps (.f64 (pow.f64 eps 3) -1/6)))
(+.f64 (.f64 1/120 (.f64 (pow.f64 eps 5) x)) (+.f64 (.f64 eps x) (.f64 -1/6 (*.f64 (pow.f64 eps 3) x))))
(fma.f64 1/120 (.f64 x (pow.f64 eps 5)) (fma.f64 eps x (.f64 (*.f64 x (pow.f64 eps 3)) -1/6)))
(fma.f64 1/120 (.f64 x (pow.f64 eps 5)) (.f64 x (+.f64 eps (*.f64 (pow.f64 eps 3) -1/6))))
(+.f64 (.f64 1/120 (.f64 (pow.f64 eps 5) x)) (+.f64 (.f64 eps x) (+.f64 (.f64 -1/6 (.f64 (pow.f64 eps 3) x)) (.f64 -1/5040 (*.f64 (pow.f64 eps 7) x)))))
(fma.f64 1/120 (.f64 x (pow.f64 eps 5)) (fma.f64 eps x (fma.f64 -1/6 (.f64 x (pow.f64 eps 3)) (.f64 -1/5040 (.f64 x (pow.f64 eps 7))))))
(fma.f64 1/120 (.f64 x (pow.f64 eps 5)) (fma.f64 eps x (.f64 x (+.f64 (.f64 (pow.f64 eps 3) -1/6) (.f64 -1/5040 (pow.f64 eps 7))))))
(*.f64 -1/2 (pow.f64 x 2))
(.f64 -1/2 (.f64 x x))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 1/4 (*.f64 (pow.f64 eps 2) (pow.f64 x 2))))
(fma.f64 -1/2 (.f64 x x) (.f64 1/4 (.f64 (.f64 x x) (*.f64 eps eps))))
(.f64 (.f64 x x) (+.f64 (.f64 (.f64 eps eps) 1/4) -1/2))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 1/4 (.f64 (pow.f64 eps 2) (pow.f64 x 2))) (.f64 -1/48 (*.f64 (pow.f64 eps 4) (pow.f64 x 2)))))
(fma.f64 -1/2 (.f64 x x) (fma.f64 1/4 (.f64 (.f64 x x) (.f64 eps eps)) (.f64 -1/48 (.f64 (*.f64 x x) (pow.f64 eps 4)))))
(fma.f64 -1/2 (.f64 x x) (.f64 (.f64 x x) (+.f64 (.f64 (.f64 eps eps) 1/4) (.f64 -1/48 (pow.f64 eps 4)))))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 1/1440 (.f64 (pow.f64 eps 6) (pow.f64 x 2))) (+.f64 (.f64 1/4 (.f64 (pow.f64 eps 2) (pow.f64 x 2))) (.f64 -1/48 (*.f64 (pow.f64 eps 4) (pow.f64 x 2))))))
(fma.f64 -1/2 (.f64 x x) (fma.f64 1/1440 (.f64 (.f64 x x) (pow.f64 eps 6)) (fma.f64 1/4 (.f64 (.f64 x x) (.f64 eps eps)) (.f64 -1/48 (.f64 (*.f64 x x) (pow.f64 eps 4))))))
(+.f64 (.f64 (.f64 x x) (+.f64 (.f64 (.f64 eps eps) 1/4) (.f64 -1/48 (pow.f64 eps 4)))) (.f64 (.f64 x x) (+.f64 -1/2 (.f64 1/1440 (pow.f64 eps 6)))))
(.f64 -1/2 (.f64 (cos.f64 eps) (pow.f64 x 2)))
(.f64 (.f64 -1/2 (cos.f64 eps)) (*.f64 x x))
(.f64 (.f64 x x) (*.f64 -1/2 (cos.f64 eps)))
(.f64 -1/2 (.f64 (cos.f64 eps) (pow.f64 x 2)))
(.f64 (.f64 -1/2 (cos.f64 eps)) (*.f64 x x))
(.f64 (.f64 x x) (*.f64 -1/2 (cos.f64 eps)))
(.f64 -1/2 (.f64 (cos.f64 eps) (pow.f64 x 2)))
(.f64 (.f64 -1/2 (cos.f64 eps)) (*.f64 x x))
(.f64 (.f64 x x) (*.f64 -1/2 (cos.f64 eps)))
(.f64 -1/2 (.f64 (cos.f64 eps) (pow.f64 x 2)))
(.f64 (.f64 -1/2 (cos.f64 eps)) (*.f64 x x))
(.f64 (.f64 x x) (*.f64 -1/2 (cos.f64 eps)))
(.f64 -1/2 (.f64 (cos.f64 eps) (pow.f64 x 2)))
(.f64 (.f64 -1/2 (cos.f64 eps)) (*.f64 x x))
(.f64 (.f64 x x) (*.f64 -1/2 (cos.f64 eps)))
(.f64 -1/2 (.f64 (cos.f64 eps) (pow.f64 x 2)))
(.f64 (.f64 -1/2 (cos.f64 eps)) (*.f64 x x))
(.f64 (.f64 x x) (*.f64 -1/2 (cos.f64 eps)))
(.f64 -1/2 (.f64 (cos.f64 eps) (pow.f64 x 2)))
(.f64 (.f64 -1/2 (cos.f64 eps)) (*.f64 x x))
(.f64 (.f64 x x) (*.f64 -1/2 (cos.f64 eps)))
(.f64 -1/2 (.f64 (cos.f64 eps) (pow.f64 x 2)))
(.f64 (.f64 -1/2 (cos.f64 eps)) (*.f64 x x))
(.f64 (.f64 x x) (*.f64 -1/2 (cos.f64 eps)))
(.f64 -1/2 (.f64 (cos.f64 eps) (pow.f64 x 2)))
(.f64 (.f64 -1/2 (cos.f64 eps)) (*.f64 x x))
(.f64 (.f64 x x) (*.f64 -1/2 (cos.f64 eps)))
(.f64 -1/2 (.f64 (cos.f64 eps) (pow.f64 x 2)))
(.f64 (.f64 -1/2 (cos.f64 eps)) (*.f64 x x))
(.f64 (.f64 x x) (*.f64 -1/2 (cos.f64 eps)))
(.f64 -1/2 (.f64 (cos.f64 eps) (pow.f64 x 2)))
(.f64 (.f64 -1/2 (cos.f64 eps)) (*.f64 x x))
(.f64 (.f64 x x) (*.f64 -1/2 (cos.f64 eps)))
(.f64 -1/2 (.f64 (cos.f64 eps) (pow.f64 x 2)))
(.f64 (.f64 -1/2 (cos.f64 eps)) (*.f64 x x))
(.f64 (.f64 x x) (*.f64 -1/2 (cos.f64 eps)))
(.f64 -1/2 (.f64 (cos.f64 eps) (pow.f64 x 2)))
(.f64 (.f64 -1/2 (cos.f64 eps)) (*.f64 x x))
(.f64 (.f64 x x) (*.f64 -1/2 (cos.f64 eps)))
(.f64 -1/2 (.f64 (cos.f64 eps) (pow.f64 x 2)))
(.f64 (.f64 -1/2 (cos.f64 eps)) (*.f64 x x))
(.f64 (.f64 x x) (*.f64 -1/2 (cos.f64 eps)))
(.f64 -1/2 (.f64 (cos.f64 eps) (pow.f64 x 2)))
(.f64 (.f64 -1/2 (cos.f64 eps)) (*.f64 x x))
(.f64 (.f64 x x) (*.f64 -1/2 (cos.f64 eps)))
(.f64 -1/2 (.f64 (cos.f64 eps) (pow.f64 x 2)))
(.f64 (.f64 -1/2 (cos.f64 eps)) (*.f64 x x))
(.f64 (.f64 x x) (*.f64 -1/2 (cos.f64 eps)))
(.f64 -1/2 (.f64 (cos.f64 eps) (pow.f64 x 2)))
(.f64 (.f64 -1/2 (cos.f64 eps)) (*.f64 x x))
(.f64 (.f64 x x) (*.f64 -1/2 (cos.f64 eps)))
(.f64 -1/2 (.f64 (cos.f64 eps) (pow.f64 x 2)))
(.f64 (.f64 -1/2 (cos.f64 eps)) (*.f64 x x))
(.f64 (.f64 x x) (*.f64 -1/2 (cos.f64 eps)))
(.f64 -1/2 (.f64 (cos.f64 eps) (pow.f64 x 2)))
(.f64 (.f64 -1/2 (cos.f64 eps)) (*.f64 x x))
(.f64 (.f64 x x) (*.f64 -1/2 (cos.f64 eps)))
(.f64 -1/2 (.f64 (cos.f64 eps) (pow.f64 x 2)))
(.f64 (.f64 -1/2 (cos.f64 eps)) (*.f64 x x))
(.f64 (.f64 x x) (*.f64 -1/2 (cos.f64 eps)))
(*.f64 -1/2 (pow.f64 x 2))
(.f64 -1/2 (.f64 x x))
(+.f64 (.f64 -1 (.f64 eps x)) (*.f64 -1/2 (pow.f64 x 2)))
(fma.f64 -1 (.f64 x eps) (.f64 -1/2 (*.f64 x x)))
(.f64 x (+.f64 (.f64 -1 eps) (*.f64 -1/2 x)))
(+.f64 (.f64 -1 (.f64 eps x)) (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 1/4 (*.f64 (pow.f64 eps 2) (pow.f64 x 2)))))
(fma.f64 -1 (.f64 x eps) (fma.f64 -1/2 (.f64 x x) (.f64 1/4 (.f64 (.f64 x x) (.f64 eps eps)))))
(fma.f64 -1 (.f64 x eps) (.f64 (.f64 x x) (+.f64 (.f64 (*.f64 eps eps) 1/4) -1/2)))
(+.f64 (.f64 -1 (.f64 eps x)) (+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) x)) (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 1/4 (*.f64 (pow.f64 eps 2) (pow.f64 x 2))))))
(fma.f64 -1 (.f64 x eps) (fma.f64 1/6 (.f64 x (pow.f64 eps 3)) (fma.f64 -1/2 (.f64 x x) (.f64 1/4 (.f64 (.f64 x x) (*.f64 eps eps))))))
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(/.f64 (/.f64 1 (+.f64 (pow.f64 (.f64 (.f64 x x) (.f64 -1/2 (cos.f64 eps))) 2) (.f64 x (.f64 (sin.f64 eps) (fma.f64 (cos.f64 eps) (.f64 -1/2 (.f64 x x)) (.f64 x (sin.f64 eps))))))) (/.f64 (+.f64 (pow.f64 (.f64 (.f64 x x) (.f64 -1/2 (cos.f64 eps))) 6) (+.f64 (pow.f64 (.f64 x (sin.f64 eps)) 6) (.f64 (pow.f64 (.f64 x (sin.f64 eps)) 3) (pow.f64 (.f64 (.f64 x x) (.f64 -1/2 (cos.f64 eps))) 3)))) (-.f64 (pow.f64 (pow.f64 (.f64 (.f64 x x) (.f64 -1/2 (cos.f64 eps))) 3) 3) (pow.f64 (pow.f64 (*.f64 x (sin.f64 eps)) 3) 3))))
(pow.f64 (-.f64 (.f64 (cos.f64 eps) (.f64 -1/2 (.f64 x x))) (.f64 x (sin.f64 eps))) 1)
(-.f64 (.f64 (.f64 -1/2 (cos.f64 eps)) (.f64 x x)) (.f64 x (sin.f64 eps)))
(fma.f64 (cos.f64 eps) (.f64 -1/2 (.f64 x x)) (*.f64 x (neg.f64 (sin.f64 eps))))
(pow.f64 (sqrt.f64 (-.f64 (.f64 (cos.f64 eps) (.f64 -1/2 (.f64 x x))) (.f64 x (sin.f64 eps)))) 2)
(-.f64 (.f64 (.f64 -1/2 (cos.f64 eps)) (.f64 x x)) (.f64 x (sin.f64 eps)))
(fma.f64 (cos.f64 eps) (.f64 -1/2 (.f64 x x)) (*.f64 x (neg.f64 (sin.f64 eps))))
(pow.f64 (cbrt.f64 (-.f64 (.f64 (cos.f64 eps) (.f64 -1/2 (.f64 x x))) (.f64 x (sin.f64 eps)))) 3)
(-.f64 (.f64 (.f64 -1/2 (cos.f64 eps)) (.f64 x x)) (.f64 x (sin.f64 eps)))
(fma.f64 (cos.f64 eps) (.f64 -1/2 (.f64 x x)) (*.f64 x (neg.f64 (sin.f64 eps))))
(pow.f64 (pow.f64 (-.f64 (.f64 (cos.f64 eps) (.f64 -1/2 (.f64 x x))) (.f64 x (sin.f64 eps))) 3) 1/3)
(-.f64 (.f64 (.f64 -1/2 (cos.f64 eps)) (.f64 x x)) (.f64 x (sin.f64 eps)))
(fma.f64 (cos.f64 eps) (.f64 -1/2 (.f64 x x)) (*.f64 x (neg.f64 (sin.f64 eps))))
(sqrt.f64 (pow.f64 (-.f64 (.f64 (cos.f64 eps) (.f64 -1/2 (.f64 x x))) (.f64 x (sin.f64 eps))) 2))
(sqrt.f64 (pow.f64 (-.f64 (.f64 (.f64 -1/2 (cos.f64 eps)) (.f64 x x)) (.f64 x (sin.f64 eps))) 2))
(sqrt.f64 (pow.f64 (fma.f64 (cos.f64 eps) (.f64 -1/2 (.f64 x x)) (*.f64 x (neg.f64 (sin.f64 eps)))) 2))
(log.f64 (exp.f64 (-.f64 (.f64 (cos.f64 eps) (.f64 -1/2 (.f64 x x))) (.f64 x (sin.f64 eps)))))
(-.f64 (.f64 (.f64 -1/2 (cos.f64 eps)) (.f64 x x)) (.f64 x (sin.f64 eps)))
(fma.f64 (cos.f64 eps) (.f64 -1/2 (.f64 x x)) (*.f64 x (neg.f64 (sin.f64 eps))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (.f64 (cos.f64 eps) (.f64 -1/2 (.f64 x x))) (.f64 x (sin.f64 eps))))))
(-.f64 (.f64 (.f64 -1/2 (cos.f64 eps)) (.f64 x x)) (.f64 x (sin.f64 eps)))
(fma.f64 (cos.f64 eps) (.f64 -1/2 (.f64 x x)) (*.f64 x (neg.f64 (sin.f64 eps))))
(cbrt.f64 (pow.f64 (-.f64 (.f64 (cos.f64 eps) (.f64 -1/2 (.f64 x x))) (.f64 x (sin.f64 eps))) 3))
(-.f64 (.f64 (.f64 -1/2 (cos.f64 eps)) (.f64 x x)) (.f64 x (sin.f64 eps)))
(fma.f64 (cos.f64 eps) (.f64 -1/2 (.f64 x x)) (*.f64 x (neg.f64 (sin.f64 eps))))
(expm1.f64 (log1p.f64 (-.f64 (.f64 (cos.f64 eps) (.f64 -1/2 (.f64 x x))) (.f64 x (sin.f64 eps)))))
(-.f64 (.f64 (.f64 -1/2 (cos.f64 eps)) (.f64 x x)) (.f64 x (sin.f64 eps)))
(fma.f64 (cos.f64 eps) (.f64 -1/2 (.f64 x x)) (*.f64 x (neg.f64 (sin.f64 eps))))
(exp.f64 (log.f64 (-.f64 (.f64 (cos.f64 eps) (.f64 -1/2 (.f64 x x))) (.f64 x (sin.f64 eps)))))
(-.f64 (.f64 (.f64 -1/2 (cos.f64 eps)) (.f64 x x)) (.f64 x (sin.f64 eps)))
(fma.f64 (cos.f64 eps) (.f64 -1/2 (.f64 x x)) (*.f64 x (neg.f64 (sin.f64 eps))))
(exp.f64 (.f64 (log.f64 (-.f64 (.f64 (cos.f64 eps) (.f64 -1/2 (.f64 x x))) (*.f64 x (sin.f64 eps)))) 1))
(-.f64 (.f64 (.f64 -1/2 (cos.f64 eps)) (.f64 x x)) (.f64 x (sin.f64 eps)))
(fma.f64 (cos.f64 eps) (.f64 -1/2 (.f64 x x)) (*.f64 x (neg.f64 (sin.f64 eps))))
(log1p.f64 (expm1.f64 (-.f64 (.f64 (cos.f64 eps) (.f64 -1/2 (.f64 x x))) (.f64 x (sin.f64 eps)))))
(-.f64 (.f64 (.f64 -1/2 (cos.f64 eps)) (.f64 x x)) (.f64 x (sin.f64 eps)))
(fma.f64 (cos.f64 eps) (.f64 -1/2 (.f64 x x)) (*.f64 x (neg.f64 (sin.f64 eps))))
(fma.f64 (cos.f64 eps) (.f64 -1/2 (.f64 x x)) (*.f64 x (neg.f64 (sin.f64 eps))))
(-.f64 (.f64 (.f64 -1/2 (cos.f64 eps)) (.f64 x x)) (.f64 x (sin.f64 eps)))
(fma.f64 (.f64 -1/2 (.f64 x x)) (cos.f64 eps) (*.f64 x (neg.f64 (sin.f64 eps))))
(-.f64 (.f64 (.f64 -1/2 (cos.f64 eps)) (.f64 x x)) (.f64 x (sin.f64 eps)))
(fma.f64 (cos.f64 eps) (.f64 -1/2 (.f64 x x)) (*.f64 x (neg.f64 (sin.f64 eps))))
(fma.f64 1 (.f64 (cos.f64 eps) (.f64 -1/2 (.f64 x x))) (.f64 x (neg.f64 (sin.f64 eps))))
(-.f64 (.f64 (.f64 -1/2 (cos.f64 eps)) (.f64 x x)) (.f64 x (sin.f64 eps)))
(fma.f64 (cos.f64 eps) (.f64 -1/2 (.f64 x x)) (*.f64 x (neg.f64 (sin.f64 eps))))
(fma.f64 1 (-.f64 (.f64 (cos.f64 eps) (.f64 -1/2 (.f64 x x))) (.f64 x (sin.f64 eps))) (fma.f64 (neg.f64 (sin.f64 eps)) x (*.f64 x (sin.f64 eps))))
(-.f64 (fma.f64 (cos.f64 eps) (.f64 -1/2 (.f64 x x)) (fma.f64 (neg.f64 (sin.f64 eps)) x (.f64 x (sin.f64 eps)))) (.f64 x (sin.f64 eps)))
(-.f64 (fma.f64 (cos.f64 eps) (.f64 -1/2 (.f64 x x)) (.f64 0 (.f64 x (sin.f64 eps)))) (*.f64 x (sin.f64 eps)))
(fma.f64 (sqrt.f64 (-.f64 (.f64 (cos.f64 eps) (.f64 -1/2 (.f64 x x))) (.f64 x (sin.f64 eps)))) (sqrt.f64 (-.f64 (.f64 (cos.f64 eps) (.f64 -1/2 (.f64 x x))) (.f64 x (sin.f64 eps)))) (fma.f64 (neg.f64 (sin.f64 eps)) x (*.f64 x (sin.f64 eps))))
(-.f64 (fma.f64 (cos.f64 eps) (.f64 -1/2 (.f64 x x)) (fma.f64 (neg.f64 (sin.f64 eps)) x (.f64 x (sin.f64 eps)))) (.f64 x (sin.f64 eps)))
(-.f64 (fma.f64 (cos.f64 eps) (.f64 -1/2 (.f64 x x)) (.f64 0 (.f64 x (sin.f64 eps)))) (*.f64 x (sin.f64 eps)))
(fma.f64 (.f64 (sqrt.f64 (.f64 (cos.f64 eps) -1/2)) x) (.f64 (sqrt.f64 (.f64 (cos.f64 eps) -1/2)) x) (*.f64 x (neg.f64 (sin.f64 eps))))
(+.f64 (pow.f64 (.f64 x (sqrt.f64 (.f64 -1/2 (cos.f64 eps)))) 2) (*.f64 x (neg.f64 (sin.f64 eps))))
(+.f64 (.f64 x (neg.f64 (sin.f64 eps))) (pow.f64 (.f64 x (sqrt.f64 (*.f64 -1/2 (cos.f64 eps)))) 2))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 (cos.f64 eps) (.f64 -1/2 (.f64 x x))) (.f64 x (sin.f64 eps)))) 2) (cbrt.f64 (-.f64 (.f64 (cos.f64 eps) (.f64 -1/2 (.f64 x x))) (.f64 x (sin.f64 eps)))) (fma.f64 (neg.f64 (sin.f64 eps)) x (*.f64 x (sin.f64 eps))))
(-.f64 (fma.f64 (cos.f64 eps) (.f64 -1/2 (.f64 x x)) (fma.f64 (neg.f64 (sin.f64 eps)) x (.f64 x (sin.f64 eps)))) (.f64 x (sin.f64 eps)))
(-.f64 (fma.f64 (cos.f64 eps) (.f64 -1/2 (.f64 x x)) (.f64 0 (.f64 x (sin.f64 eps)))) (*.f64 x (sin.f64 eps)))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 eps) (.f64 -1/2 (.f64 x x)))) 2) (cbrt.f64 (.f64 (cos.f64 eps) (.f64 -1/2 (.f64 x x)))) (*.f64 x (neg.f64 (sin.f64 eps))))
(-.f64 (.f64 (.f64 -1/2 (cos.f64 eps)) (.f64 x x)) (.f64 x (sin.f64 eps)))
(fma.f64 (cos.f64 eps) (.f64 -1/2 (.f64 x x)) (*.f64 x (neg.f64 (sin.f64 eps))))
(fma.f64 (.f64 (cos.f64 eps) -1/2) (.f64 x x) (*.f64 x (neg.f64 (sin.f64 eps))))
(-.f64 (.f64 (.f64 -1/2 (cos.f64 eps)) (.f64 x x)) (.f64 x (sin.f64 eps)))
(fma.f64 (cos.f64 eps) (.f64 -1/2 (.f64 x x)) (*.f64 x (neg.f64 (sin.f64 eps))))

eval630.0ms (3.3%)

Compiler: Compiled 54891 to 18540 computations (66.2% saved)

prune837.0ms (4.4%)

Pruning

55 alts after pruning (53 fresh and 2 done)

	Pruned	Kept	Total
New	1896	45	1941
Fresh	23	8	31
Picked	1	0	1
Done	3	2	5
Total	1923	55	1978

Error

0.1b

Counts

1978 → 55

Alt Table

Click to see full alt table

Status	Error	Program
▶	24.6b	(fma.f64 (cos.f64 x) (cos.f64 eps) (fma.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)) (neg.f64 (cos.f64 x))))
	49.4b	(fma.f64 1/24 (pow.f64 eps 4) (.f64 -1/2 (.f64 eps eps)))
	38.6b	(pow.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 3)
	61.7b	(pow.f64 (cbrt.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))) 3)
	38.4b	(pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 3)
▶	38.3b	(/.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1) (-.f64 (cos.f64 eps) -1))
	32.7b	(/.f64 (*.f64 (sin.f64 eps) (sin.f64 eps)) (-.f64 -1 (cos.f64 eps)))
▶	38.4b	(/.f64 1 (/.f64 1 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
	24.6b	(-.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x)))) (cos.f64 x))
	38.5b	(-.f64 (pow.f64 (cbrt.f64 (cos.f64 eps)) 3) 1)
	25.0b	(-.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)))) (.f64 (sin.f64 eps) (sin.f64 x))))
	38.2b	(-.f64 (-.f64 (+.f64 (cos.f64 eps) 1) 1) 1)
	24.6b	(-.f64 (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))
	31.7b	(-.f64 (-.f64 (.f64 (cos.f64 eps) (cos.f64 x)) (cos.f64 x)) (pow.f64 (sqrt.f64 (.f64 (sin.f64 x) (sin.f64 eps))) 2))
	6.6b	(-.f64 (-.f64 (.f64 (cos.f64 eps) (cos.f64 x)) (cos.f64 x)) (.f64 (sin.f64 x) (sin.f64 eps)))
	36.2b	(-.f64 (+.f64 (cos.f64 eps) -1) (*.f64 x (sin.f64 eps)))
	30.0b	(-.f64 (.f64 (.f64 eps eps) (.f64 (cos.f64 x) -1/2)) (.f64 eps (sin.f64 x)))
▶	6.6b	(-.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 (sin.f64 x) (sin.f64 eps)))
	24.7b	(-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (-.f64 (cos.f64 x) (.f64 (neg.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 eps) (sin.f64 x))) 2)) (cbrt.f64 (.f64 (sin.f64 eps) (sin.f64 x))))))
	24.6b	(-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (.f64 (sin.f64 eps) (sin.f64 x))))
	44.5b	(-.f64 (fabs.f64 (cos.f64 (+.f64 eps x))) 1)
	54.0b	(-.f64 (fabs.f64 (cos.f64 x)) (cos.f64 x))
	44.3b	(-.f64 (fabs.f64 (cos.f64 eps)) (cos.f64 x))
	61.7b	(-.f64 (exp.f64 (log1p.f64 (cos.f64 x))) (-.f64 1 (cos.f64 (+.f64 x eps))))
✓	38.3b	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
	54.8b	(-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))
	38.3b	(-.f64 (cos.f64 eps) (cos.f64 x))
✓	38.2b	(-.f64 (cos.f64 eps) 1)
	38.4b	(-.f64 (cbrt.f64 (pow.f64 (cos.f64 eps) 3)) 1)
▶	54.7b	(-.f64 1 1)
	29.9b	(+.f64 (fma.f64 1/24 (.f64 (cos.f64 x) (pow.f64 eps 4)) (.f64 (.f64 eps eps) (.f64 (cos.f64 x) -1/2))) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	6.9b	(+.f64 (/.f64 (-.f64 (pow.f64 (cos.f64 x) 4) (pow.f64 (.f64 (cos.f64 eps) (cos.f64 x)) 4)) (/.f64 (+.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (.f64 (cos.f64 eps) (cos.f64 x)) 2)) (/.f64 1 (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps)))))) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	7.0b	(+.f64 (-.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))))) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	40.4b	(+.f64 (-.f64 (.f64 (cos.f64 eps) (+.f64 (.f64 -1/2 (.f64 x x)) 1)) (.f64 x (sin.f64 eps))) (neg.f64 (cos.f64 x)))
	10.1b	(+.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))))
	19.0b	(+.f64 (-.f64 (cos.f64 eps) 1) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	7.0b	(+.f64 (+.f64 (fma.f64 (neg.f64 (cos.f64 eps)) (cos.f64 x) (.f64 (cos.f64 eps) (cos.f64 x))) (-.f64 (/.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x)) (-.f64 -1 (cos.f64 eps))) (/.f64 (pow.f64 (.f64 (cos.f64 eps) (cos.f64 x)) 2) (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps)))))) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	29.8b	(+.f64 (+.f64 (.f64 1/24 (.f64 (pow.f64 eps 4) (cos.f64 x))) (+.f64 (.f64 1/40320 (.f64 (pow.f64 eps 8) (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)))))) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	20.1b	(+.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))))
	8.1b	(+.f64 (+.f64 (neg.f64 (cos.f64 x)) (.f64 (cos.f64 x) (cos.f64 eps))) (/.f64 (.f64 (-.f64 0 (pow.f64 (sin.f64 x) 2)) (sin.f64 eps)) (sin.f64 x)))
	19.5b	(+.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))))
	6.7b	(+.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)))))
	29.9b	(+.f64 (.f64 (.f64 eps eps) (.f64 (cos.f64 x) -1/2)) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	61.7b	(+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))
	38.6b	(+.f64 -1 (cos.f64 (+.f64 x eps)))
	57.9b	(.f64 (.f64 x x) (*.f64 -1/2 (cos.f64 eps)))
	32.4b	(.f64 (.f64 -2 (sin.f64 (.f64 (+.f64 x (-.f64 eps x)) 1/2))) (sin.f64 (.f64 (+.f64 eps (+.f64 x x)) 1/2)))
	36.0b	(*.f64 (neg.f64 eps) (sin.f64 x))
	49.1b	(.f64 -1/2 (.f64 eps eps))
	13.6b	(.f64 -2 (.f64 (sin.f64 (/.f64 (+.f64 eps (-.f64 x x)) 2)) (sin.f64 (/.f64 (+.f64 eps (+.f64 x x)) 2))))
	54.0b	(sqrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2))
	58.1b	(neg.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))))
	38.4b	(log.f64 (exp.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
	38.2b	(log.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)))
	61.7b	(cbrt.f64 (pow.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))) 3))

Compiler

Compiled 1759 to 1211 computations (31.2% saved)

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1))
✓	0.1b	(-.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 (sin.f64 x) (sin.f64 eps)))
✓	0.2b	(*.f64 (sin.f64 x) (sin.f64 eps))
✓	2.5b	(+.f64 (cos.f64 eps) -1)

Compiler

Compiled 42 to 17 computations (59.5% saved)

series3.0ms (0%)

Counts

4 → 68

Calls

21 calls:

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

rewrite146.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1560×	`associate-*r/`
1300×	`associate-*l/`
500×	`associate-+l+`
336×	`add-sqr-sqrt`
330×	`pow1`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	14	88
1	313	88
2	4291	72

Stop Event

1×	node limit

Counts

4 → 335

Calls

Call 1

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

simplify259.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1010×	`associate-r`
994×	`+-commutative`
912×	`associate-+r+`
878×	`associate-l`
810×	`associate-+l+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	870	25585
1	2399	22969

Stop Event

1×	node limit

Counts

403 → 532

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 (sin.f64 eps) x)
(+.f64 (.f64 -1/6 (.f64 (pow.f64 x 3) (sin.f64 eps))) (*.f64 (sin.f64 eps) x))
(+.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)))
(+.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))))
(*.f64 eps (sin.f64 x))
(+.f64 (.f64 eps (sin.f64 x)) (.f64 -1/6 (*.f64 (pow.f64 eps 3) (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)))))
(+.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))))))
(-.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 -1/2 (.f64 (-.f64 (cos.f64 eps) 1) (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 -1/2 (.f64 (-.f64 (cos.f64 eps) 1) (pow.f64 x 2)))))) 1)
(-.f64 (.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)) (.f64 (sin.f64 x) (sin.f64 eps)))
(-.f64 (.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)) (.f64 (sin.f64 x) (sin.f64 eps)))
(-.f64 (.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)) (.f64 (sin.f64 x) (sin.f64 eps)))
(-.f64 (.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)) (.f64 (sin.f64 x) (sin.f64 eps)))
(-.f64 (.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)) (.f64 (sin.f64 x) (sin.f64 eps)))
(-.f64 (.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)) (.f64 (sin.f64 x) (sin.f64 eps)))
(-.f64 (.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)) (.f64 (sin.f64 x) (sin.f64 eps)))
(-.f64 (.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)) (.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))))))
(-.f64 (.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)) (.f64 (sin.f64 x) (sin.f64 eps)))
(-.f64 (.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)) (.f64 (sin.f64 x) (sin.f64 eps)))
(-.f64 (.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)) (.f64 (sin.f64 x) (sin.f64 eps)))
(-.f64 (.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)) (.f64 (sin.f64 x) (sin.f64 eps)))
(-.f64 (.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)) (.f64 (sin.f64 x) (sin.f64 eps)))
(-.f64 (.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)) (.f64 (sin.f64 x) (sin.f64 eps)))
(-.f64 (.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)) (.f64 (sin.f64 x) (sin.f64 eps)))
(-.f64 (.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)) (.f64 (sin.f64 x) (sin.f64 eps)))
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(fma.f64 (sqrt.f64 (.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x))) (sqrt.f64 (.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x))) (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (neg.f64 (cos.f64 x)) (cos.f64 (+.f64 eps x)))) 2) (cbrt.f64 (+.f64 (neg.f64 (cos.f64 x)) (cos.f64 (+.f64 eps x)))) (fma.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x))) 2) (cbrt.f64 (.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x))) (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))))
(+.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (neg.f64 (cos.f64 x)))
(+.f64 (neg.f64 (cos.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x)))
(+.f64 (.f64 (.f64 (cos.f64 eps) (cos.f64 x)) 1) (*.f64 (neg.f64 (cos.f64 x)) 1))
(+.f64 (.f64 (neg.f64 (cos.f64 x)) 1) (.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)))) 1)
(/.f64 (cos.f64 x) (/.f64 (+.f64 (cos.f64 eps) 1) (neg.f64 (pow.f64 (sin.f64 eps) 2))))
(/.f64 (cos.f64 x) (/.f64 (+.f64 1 (-.f64 (pow.f64 (cos.f64 eps) 2) (*.f64 (cos.f64 eps) -1))) (+.f64 -1 (pow.f64 (cos.f64 eps) 3))))
(/.f64 (*.f64 (cos.f64 x) (neg.f64 (pow.f64 (sin.f64 eps) 2))) (+.f64 (cos.f64 eps) 1))
(/.f64 (.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 (neg.f64 (pow.f64 (sin.f64 eps) 2)) (cos.f64 x)) (+.f64 (cos.f64 eps) 1))
(/.f64 (.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 (.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 (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)))))
(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 (sin.f64 eps) x)
(+.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 (sin.f64 eps) x))
(.f64 (sin.f64 eps) (+.f64 x (.f64 -1/6 (pow.f64 x 3))))
(+.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 (sin.f64 eps) x)))
(fma.f64 1/120 (.f64 (sin.f64 eps) (pow.f64 x 5)) (.f64 (sin.f64 eps) (+.f64 x (*.f64 -1/6 (pow.f64 x 3)))))
(+.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 (sin.f64 eps) x))))
(+.f64 (.f64 (sin.f64 eps) (+.f64 x (.f64 -1/5040 (pow.f64 x 7)))) (.f64 (sin.f64 eps) (+.f64 (.f64 1/120 (pow.f64 x 5)) (*.f64 -1/6 (pow.f64 x 3)))))
(*.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 -1/6 (.f64 (sin.f64 x) (pow.f64 eps 3))))
(.f64 (sin.f64 x) (+.f64 eps (.f64 -1/6 (pow.f64 eps 3))))
(+.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 -1/6 (*.f64 (sin.f64 x) (pow.f64 eps 3)))))
(fma.f64 eps (sin.f64 x) (.f64 (sin.f64 x) (+.f64 (.f64 -1/6 (pow.f64 eps 3)) (*.f64 1/120 (pow.f64 eps 5)))))
(+.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 -1/6 (.f64 (sin.f64 x) (pow.f64 eps 3))))))
(+.f64 (.f64 (sin.f64 x) (+.f64 (.f64 -1/6 (pow.f64 eps 3)) (.f64 1/120 (pow.f64 eps 5)))) (.f64 (sin.f64 x) (+.f64 (*.f64 -1/5040 (pow.f64 eps 7)) eps)))
(-.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 (sin.f64 eps) x))) -1)
(+.f64 -1 (-.f64 (cos.f64 eps) (*.f64 (sin.f64 eps) x)))
(-.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 (sin.f64 eps) x) (.f64 -1/2 (.f64 (.f64 x x) (+.f64 (cos.f64 eps) -1)))) 1))
(+.f64 (cos.f64 eps) (+.f64 (-.f64 (.f64 (.f64 x x) (+.f64 1/2 (.f64 -1/2 (cos.f64 eps)))) (.f64 (sin.f64 eps) 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 -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 (sin.f64 eps) x) (.f64 -1/2 (.f64 (*.f64 x x) (+.f64 (cos.f64 eps) -1))))) 1))
(+.f64 (+.f64 (.f64 (.f64 x x) (+.f64 1/2 (.f64 -1/2 (cos.f64 eps)))) (.f64 (sin.f64 eps) (+.f64 (*.f64 (pow.f64 x 3) 1/6) (neg.f64 x)))) (+.f64 (cos.f64 eps) -1))
(-.f64 (.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)) (.f64 (sin.f64 x) (sin.f64 eps)))
(-.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 (sin.f64 eps) (sin.f64 x)))
(-.f64 (.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)) (.f64 (sin.f64 x) (sin.f64 eps)))
(-.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 (sin.f64 eps) (sin.f64 x)))
(-.f64 (.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)) (.f64 (sin.f64 x) (sin.f64 eps)))
(-.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 (sin.f64 eps) (sin.f64 x)))
(-.f64 (.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)) (.f64 (sin.f64 x) (sin.f64 eps)))
(-.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 (sin.f64 eps) (sin.f64 x)))
(-.f64 (.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)) (.f64 (sin.f64 x) (sin.f64 eps)))
(-.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 (sin.f64 eps) (sin.f64 x)))
(-.f64 (.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)) (.f64 (sin.f64 x) (sin.f64 eps)))
(-.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 (sin.f64 eps) (sin.f64 x)))
(-.f64 (.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)) (.f64 (sin.f64 x) (sin.f64 eps)))
(-.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 (sin.f64 eps) (sin.f64 x)))
(-.f64 (.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)) (.f64 (sin.f64 x) (sin.f64 eps)))
(-.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 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))))
(-.f64 (.f64 -1/2 (.f64 (.f64 (cos.f64 x) eps) eps)) (.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 (cos.f64 x) eps) eps)) (*.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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(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))

localize3.0ms (0%)

Compiler: Compiled 6 to 6 computations (0% saved)

localize31.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 1 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))
✓	0.2b	(/.f64 1 (/.f64 1 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
	1.6b	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
	3.2b	(cos.f64 (+.f64 x eps))

Compiler

Compiled 41 to 13 computations (68.3% saved)

series5.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite98.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1746×	`associate-*l/`
934×	`distribute-lft-in`
720×	`associate-/r*`
458×	`associate-/l*`
438×	`associate-/r/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	48
1	278	48
2	3704	48

Stop Event

1×	node limit

Counts

2 → 178

Calls

Call 1

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

Outputs

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

simplify166.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1806×	`associate--r+`
826×	`fma-def`
608×	`associate-r`
566×	`+-commutative`
504×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	566	12512
1	1651	11894
2	6656	11894

Stop Event

1×	node limit

Counts

226 → 327

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))
(/.f64 1 (-.f64 (cos.f64 eps) 1))
(+.f64 (/.f64 1 (-.f64 (cos.f64 eps) 1)) (/.f64 (*.f64 (sin.f64 eps) x) (pow.f64 (-.f64 (cos.f64 eps) 1) 2)))
(+.f64 (/.f64 (.f64 x (sin.f64 eps)) (pow.f64 (-.f64 (cos.f64 eps) 1) 2)) (+.f64 (/.f64 1 (-.f64 (cos.f64 eps) 1)) (.f64 -1 (.f64 (+.f64 (.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (-.f64 (cos.f64 eps) 1) 3))) (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 (-.f64 (cos.f64 eps) 1) 2))) (.f64 -1/2 (/.f64 (cos.f64 eps) (pow.f64 (-.f64 (cos.f64 eps) 1) 2))))) (pow.f64 x 2)))))
(+.f64 (/.f64 (.f64 x (sin.f64 eps)) (pow.f64 (-.f64 (cos.f64 eps) 1) 2)) (+.f64 (/.f64 1 (-.f64 (cos.f64 eps) 1)) (+.f64 (.f64 -1 (.f64 (+.f64 (/.f64 (.f64 (+.f64 (.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (-.f64 (cos.f64 eps) 1) 3))) (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 (-.f64 (cos.f64 eps) 1) 2))) (.f64 -1/2 (/.f64 (cos.f64 eps) (pow.f64 (-.f64 (cos.f64 eps) 1) 2))))) (sin.f64 eps)) (-.f64 (cos.f64 eps) 1)) (+.f64 (.f64 1/6 (/.f64 (sin.f64 eps) (pow.f64 (-.f64 (cos.f64 eps) 1) 2))) (/.f64 (.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))) (sin.f64 eps)) (pow.f64 (-.f64 (cos.f64 eps) 1) 3)))) (pow.f64 x 3))) (.f64 -1 (.f64 (+.f64 (.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (-.f64 (cos.f64 eps) 1) 3))) (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 (-.f64 (cos.f64 eps) 1) 2))) (*.f64 -1/2 (/.f64 (cos.f64 eps) (pow.f64 (-.f64 (cos.f64 eps) 1) 2))))) (pow.f64 x 2))))))
(/.f64 1 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(/.f64 1 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(/.f64 1 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(/.f64 1 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(/.f64 1 (-.f64 (cos.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 x)))
(/.f64 1 (-.f64 (cos.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 x)))
(/.f64 1 (-.f64 (cos.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 x)))
(/.f64 1 (-.f64 (cos.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 x)))
(/.f64 -1 (*.f64 eps (sin.f64 x)))
(-.f64 (.f64 1/2 (/.f64 (cos.f64 x) (pow.f64 (sin.f64 x) 2))) (/.f64 1 (.f64 eps (sin.f64 x))))
(-.f64 (+.f64 (.f64 -1 (.f64 eps (+.f64 (.f64 1/6 (/.f64 1 (sin.f64 x))) (.f64 1/4 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 3)))))) (.f64 1/2 (/.f64 (cos.f64 x) (pow.f64 (sin.f64 x) 2)))) (/.f64 1 (.f64 eps (sin.f64 x))))
(-.f64 (+.f64 (.f64 -1 (.f64 eps (+.f64 (.f64 1/6 (/.f64 1 (sin.f64 x))) (.f64 1/4 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 3)))))) (+.f64 (.f64 1/2 (/.f64 (cos.f64 x) (pow.f64 (sin.f64 x) 2))) (.f64 -1 (.f64 (pow.f64 eps 2) (+.f64 (.f64 1/24 (/.f64 (cos.f64 x) (pow.f64 (sin.f64 x) 2))) (+.f64 (.f64 -1/12 (/.f64 (cos.f64 x) (pow.f64 (sin.f64 x) 2))) (.f64 -1/2 (/.f64 (.f64 (cos.f64 x) (+.f64 (.f64 1/6 (/.f64 1 (sin.f64 x))) (.f64 1/4 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 3))))) (sin.f64 x))))))))) (/.f64 1 (.f64 eps (sin.f64 x))))
(/.f64 1 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(/.f64 1 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(/.f64 1 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(/.f64 1 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(/.f64 1 (-.f64 (cos.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 x)))
(/.f64 1 (-.f64 (cos.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 x)))
(/.f64 1 (-.f64 (cos.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 x)))
(/.f64 1 (-.f64 (cos.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 x)))
(+.f64 (cos.f64 (+.f64 x eps)) (neg.f64 (cos.f64 x)))
(+.f64 (cos.f64 (+.f64 x eps)) (*.f64 (neg.f64 (cos.f64 x)) 1))
(+.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 x eps)) (+.f64 (fma.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x) (.f64 (sin.f64 x) (sin.f64 eps))) (.f64 (neg.f64 (cos.f64 x)) 1)))
(+.f64 (cos.f64 (+.f64 x eps)) (+.f64 (neg.f64 (cos.f64 x)) (fma.f64 (neg.f64 (cos.f64 x)) 1 (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))))
(+.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 (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))))
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(.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)))))))
(pow.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 1)
(pow.f64 (/.f64 1 (-.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))))
(exp.f64 (*.f64 (log.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))) -1))
(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)))
(+.f64 (.f64 (/.f64 1 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (pow.f64 (cos.f64 x) 2))) (cos.f64 (+.f64 x eps))) (.f64 (/.f64 1 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (pow.f64 (cos.f64 x) 2))) (cos.f64 x)))
(+.f64 (.f64 (/.f64 1 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (pow.f64 (cos.f64 x) 2))) (cos.f64 x)) (.f64 (/.f64 1 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (pow.f64 (cos.f64 x) 2))) (cos.f64 (+.f64 x eps))))
(+.f64 (.f64 (/.f64 1 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3) (pow.f64 (cos.f64 x) 3))) (pow.f64 (cos.f64 (+.f64 x eps)) 2)) (.f64 (/.f64 1 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3) (pow.f64 (cos.f64 x) 3))) (*.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))))
(+.f64 (.f64 (/.f64 1 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3) (pow.f64 (cos.f64 x) 3))) (.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))) (*.f64 (/.f64 1 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3) (pow.f64 (cos.f64 x) 3))) (pow.f64 (cos.f64 (+.f64 x eps)) 2)))
(+.f64 (.f64 (/.f64 1 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3) (pow.f64 (cos.f64 x) 3))) (+.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)) 3) (pow.f64 (cos.f64 x) 3))) (*.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))) 1)
(*.f64 1 (/.f64 1 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
(*.f64 1 (neg.f64 (/.f64 -1 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))))
(*.f64 (/.f64 1 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 1)
(*.f64 (pow.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) -1/2) (pow.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) -1/2))
(*.f64 (/.f64 1 (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))) (cbrt.f64 (pow.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) -2)))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) -2)) (/.f64 1 (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))))
(*.f64 -1 (/.f64 -1 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
(*.f64 (/.f64 -1 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) -1)
(.f64 -1/2 (/.f64 1 (.f64 (sin.f64 (.f64 (+.f64 x (-.f64 eps x)) 1/2)) (sin.f64 (.f64 (+.f64 eps (+.f64 x x)) 1/2)))))
(.f64 -1/2 (pow.f64 (.f64 (sin.f64 (.f64 (+.f64 x (-.f64 eps x)) 1/2)) (sin.f64 (.f64 (+.f64 eps (+.f64 x x)) 1/2))) -1))
(*.f64 (/.f64 1 (-.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 1 (-.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 (pow.f64 (sqrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) -1) (pow.f64 (sqrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) -1))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 2) -1) (pow.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) -1))
(*.f64 (/.f64 (pow.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) -1/2) 1) (pow.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) -1/2))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) -2)) 1) (/.f64 1 (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))))
(.f64 (/.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 (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 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))) (-.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)) 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 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 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 (pow.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) -1/2) (sqrt.f64 -1)) (sqrt.f64 (/.f64 -1 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))))
(*.f64 (/.f64 (pow.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) -1/2) (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 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) -1/2) (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 (cbrt.f64 (pow.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) -2)) -1) (cbrt.f64 (/.f64 -1 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))))
(*.f64 (/.f64 (cbrt.f64 (pow.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 (cbrt.f64 (pow.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 -1 (neg.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 -1 (neg.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 -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))))) 2)
(.f64 (/.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 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (+.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (pow.f64 (cos.f64 x) 2)))
(.f64 (/.f64 (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (-.f64 (pow.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) 3) (pow.f64 (pow.f64 (cos.f64 x) 2) 3))) (+.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 (+.f64 x eps)) 2) (pow.f64 (cos.f64 x) 2)))))
(pow.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) -1)
(pow.f64 (/.f64 1 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 1)
(pow.f64 (pow.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) -1/2) 2)
(pow.f64 (/.f64 1 (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))) 3)
(pow.f64 (/.f64 1 (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 1 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))))
(cbrt.f64 (/.f64 1 (pow.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 3)))
(expm1.f64 (log1p.f64 (/.f64 1 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))))
(exp.f64 (neg.f64 (log.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))))
(exp.f64 (*.f64 (log.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) -1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))) 1))
(log1p.f64 (expm1.f64 (/.f64 1 (-.f64 (cos.f64 (+.f64 x eps)) (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 (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 (cos.f64 eps) (+.f64 (fma.f64 (fma.f64 (cos.f64 eps) -1/2 1/2) (.f64 x x) (.f64 (sin.f64 eps) (neg.f64 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 (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 (cos.f64 x) -1/2)) (.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 (cos.f64 x) -1/2))) (*.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 (cos.f64 x) -1/2))) (.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))
(/.f64 1 (-.f64 (cos.f64 eps) 1))
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(expm1.f64 (log1p.f64 (/.f64 1 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))))
(/.f64 1 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(exp.f64 (neg.f64 (log.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))))
(/.f64 1 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(exp.f64 (*.f64 (log.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) -1))
(/.f64 1 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(exp.f64 (*.f64 (neg.f64 (log.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))) 1))
(/.f64 1 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(log1p.f64 (expm1.f64 (/.f64 1 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))))
(/.f64 1 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1) (-.f64 (cos.f64 eps) -1))
✓	0.2b	(pow.f64 (cos.f64 eps) 2)
✓	0.3b	(-.f64 (cos.f64 eps) -1)
✓	2.6b	(+.f64 (pow.f64 (cos.f64 eps) 2) -1)

Compiler

Compiled 32 to 20 computations (37.5% saved)

series3.0ms (0%)

Counts

4 → 40

Calls

12 calls:

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

rewrite96.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1602×	`associate-*r/`
1196×	`associate-*l/`
1166×	`associate-/r*`
1014×	`*-commutative`
878×	`associate-/l*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	72
1	245	50
2	3173	50

Stop Event

1×	node limit

Counts

4 → 267

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (pow.f64 (cos.f64 eps) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) 1) 2)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (cos.f64 eps) 4) (+.f64 (pow.f64 (cos.f64 eps) 2) 1)) (/.f64 1 (+.f64 (pow.f64 (cos.f64 eps) 2) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 -1 (+.f64 (pow.f64 (cos.f64 eps) 2) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (cos.f64 eps) 1) (+.f64 (cos.f64 eps) -1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (cos.f64 eps) -1) (+.f64 (cos.f64 eps) 1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (+.f64 (pow.f64 (cos.f64 eps) 2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1)) (sqrt.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1)) (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1)) 2) (cbrt.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 4)) (/.f64 1 (+.f64 (pow.f64 (cos.f64 eps) 2) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 6)) (/.f64 1 (+.f64 1 (-.f64 (pow.f64 (cos.f64 eps) 4) (.f64 (pow.f64 (cos.f64 eps) 2) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (+.f64 (pow.f64 (cos.f64 eps) 2) 1)) (+.f64 -1 (pow.f64 (cos.f64 eps) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (+.f64 1 (-.f64 (pow.f64 (cos.f64 eps) 4) (.f64 (pow.f64 (cos.f64 eps) 2) -1)))) (+.f64 -1 (pow.f64 (cos.f64 eps) 6)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (cos.f64 eps) 1) (/.f64 1 (+.f64 (cos.f64 eps) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (cos.f64 eps) -1) (/.f64 -1 (-.f64 -1 (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 1 (+.f64 (pow.f64 (cos.f64 eps) 2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1)) (/.f64 1 (sqrt.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1)) (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1)) 2) (/.f64 1 (cbrt.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 4)) (+.f64 (pow.f64 (cos.f64 eps) 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 4)) (/.f64 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(#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 6))) (cbrt.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 6)))) (/.f64 (+.f64 1 (-.f64 (pow.f64 (cos.f64 eps) 4) (.f64 (pow.f64 (cos.f64 eps) 2) -1))) (cbrt.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 6)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 4))) (cbrt.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 4)))) (/.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) 1) (cbrt.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1) (+.f64 (cos.f64 eps) -1)) (+.f64 (cos.f64 eps) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 (cos.f64 eps) -1) (-.f64 1 (pow.f64 (cos.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) 4))) (neg.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) 1)))))) (#(struct:change #<rule 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(#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (neg.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 4))) 1) (neg.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (neg.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 6))) 1) (neg.f64 (+.f64 1 (-.f64 (pow.f64 (cos.f64 eps) 4) (.f64 (pow.f64 (cos.f64 eps) 2) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 1 (pow.f64 (cos.f64 eps) 4)) 1) (-.f64 -1 (pow.f64 (cos.f64 eps) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 (pow.f64 (cos.f64 eps) 6) 1) 1) (+.f64 (pow.f64 (cos.f64 eps) 4) (+.f64 (pow.f64 (cos.f64 eps) 2) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 1 (pow.f64 (cos.f64 eps) 3)) (+.f64 (cos.f64 eps) -1)) (+.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) 1) (.f64 (cos.f64 eps) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 1 (pow.f64 (cos.f64 eps) 3)) (+.f64 (cos.f64 eps) -1)) (+.f64 (pow.f64 (cos.f64 eps) 2) (-.f64 1 (cos.f64 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(.f64 (pow.f64 (cos.f64 eps) 2) -1))))) (+.f64 (.f64 (pow.f64 (cos.f64 eps) 6) (pow.f64 (cos.f64 eps) 6)) (-.f64 1 (.f64 -1 (pow.f64 (cos.f64 eps) 6)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 4)) 1) (+.f64 (pow.f64 (cos.f64 eps) 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 4)) (sqrt.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) 1))) (sqrt.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 4)) (.f64 (cbrt.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) 1)) (cbrt.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) 1)))) (cbrt.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 6)) 1) (+.f64 1 (-.f64 (pow.f64 (cos.f64 eps) 4) (.f64 (pow.f64 (cos.f64 eps) 2) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 6)) (sqrt.f64 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#<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)))))

simplify116.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1468×	`associate-/l*`
1074×	`associate-r`
888×	`associate-l`
814×	`associate-/r*`
552×	`unswap-sqr`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	590	11619
1	1477	10009

Stop Event

1×	node limit

Counts

307 → 418

Calls

Call 1

Inputs
(*.f64 -1 (pow.f64 eps 2))
(+.f64 (.f64 -1 (pow.f64 eps 2)) (.f64 1/3 (pow.f64 eps 4)))
(+.f64 (.f64 -1 (pow.f64 eps 2)) (+.f64 (.f64 1/3 (pow.f64 eps 4)) (*.f64 -2/45 (pow.f64 eps 6))))
(+.f64 (.f64 -1 (pow.f64 eps 2)) (+.f64 (.f64 1/3 (pow.f64 eps 4)) (+.f64 (.f64 -2/45 (pow.f64 eps 6)) (.f64 1/315 (pow.f64 eps 8)))))
(-.f64 (pow.f64 (cos.f64 eps) 2) 1)
(-.f64 (pow.f64 (cos.f64 eps) 2) 1)
(-.f64 (pow.f64 (cos.f64 eps) 2) 1)
(-.f64 (pow.f64 (cos.f64 eps) 2) 1)
(-.f64 (pow.f64 (cos.f64 eps) 2) 1)
(-.f64 (pow.f64 (cos.f64 eps) 2) 1)
(-.f64 (pow.f64 (cos.f64 eps) 2) 1)
(-.f64 (pow.f64 (cos.f64 eps) 2) 1)
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))
1
(+.f64 1 (*.f64 -1 (pow.f64 eps 2)))
(+.f64 1 (+.f64 (.f64 -1 (pow.f64 eps 2)) (.f64 1/3 (pow.f64 eps 4))))
(+.f64 1 (+.f64 (.f64 -1 (pow.f64 eps 2)) (+.f64 (.f64 1/3 (pow.f64 eps 4)) (*.f64 -2/45 (pow.f64 eps 6)))))
(*.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 (-.f64 (pow.f64 (cos.f64 eps) 2) 1) (+.f64 1 (cos.f64 eps)))
(/.f64 (-.f64 (pow.f64 (cos.f64 eps) 2) 1) (+.f64 1 (cos.f64 eps)))
(/.f64 (-.f64 (pow.f64 (cos.f64 eps) 2) 1) (+.f64 1 (cos.f64 eps)))
(/.f64 (-.f64 (pow.f64 (cos.f64 eps) 2) 1) (+.f64 1 (cos.f64 eps)))
(/.f64 (-.f64 (pow.f64 (cos.f64 eps) 2) 1) (+.f64 1 (cos.f64 eps)))
(/.f64 (-.f64 (pow.f64 (cos.f64 eps) 2) 1) (+.f64 1 (cos.f64 eps)))
(/.f64 (-.f64 (pow.f64 (cos.f64 eps) 2) 1) (+.f64 1 (cos.f64 eps)))
(/.f64 (-.f64 (pow.f64 (cos.f64 eps) 2) 1) (+.f64 1 (cos.f64 eps)))
(-.f64 (pow.f64 (cos.f64 eps) 2) 1)
(-.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) 1) 2)
(-.f64 (/.f64 (pow.f64 (cos.f64 eps) 4) (+.f64 (pow.f64 (cos.f64 eps) 2) 1)) (/.f64 1 (+.f64 (pow.f64 (cos.f64 eps) 2) 1)))
(-.f64 (+.f64 -1 (+.f64 (pow.f64 (cos.f64 eps) 2) 1)) 1)
(*.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1) 1)
(*.f64 (+.f64 (cos.f64 eps) 1) (+.f64 (cos.f64 eps) -1))
(*.f64 (+.f64 (cos.f64 eps) -1) (+.f64 (cos.f64 eps) 1))
(*.f64 1 (+.f64 (pow.f64 (cos.f64 eps) 2) -1))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1)) (sqrt.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1)))
(*.f64 (cbrt.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1)) (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1)) 2) (cbrt.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1)))
(*.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 4)) (/.f64 1 (+.f64 (pow.f64 (cos.f64 eps) 2) 1)))
(.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 6)) (/.f64 1 (+.f64 1 (-.f64 (pow.f64 (cos.f64 eps) 4) (.f64 (pow.f64 (cos.f64 eps) 2) -1)))))
(*.f64 (/.f64 1 (+.f64 (pow.f64 (cos.f64 eps) 2) 1)) (+.f64 -1 (pow.f64 (cos.f64 eps) 4)))
(.f64 (/.f64 1 (+.f64 1 (-.f64 (pow.f64 (cos.f64 eps) 4) (.f64 (pow.f64 (cos.f64 eps) 2) -1)))) (+.f64 -1 (pow.f64 (cos.f64 eps) 6)))
(/.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1) 1)
(/.f64 (+.f64 (cos.f64 eps) 1) (/.f64 1 (+.f64 (cos.f64 eps) -1)))
(/.f64 (+.f64 (cos.f64 eps) -1) (/.f64 -1 (-.f64 -1 (cos.f64 eps))))
(/.f64 1 (/.f64 1 (+.f64 (pow.f64 (cos.f64 eps) 2) -1)))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1)) (/.f64 1 (sqrt.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1))))
(/.f64 (cbrt.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1)) (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1)) 2)))
(/.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1)) 2) (/.f64 1 (cbrt.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1))))
(/.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 4)) (+.f64 (pow.f64 (cos.f64 eps) 2) 1))
(/.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 4)) (/.f64 1 (/.f64 1 (+.f64 (pow.f64 (cos.f64 eps) 2) 1))))
(/.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) 1) (/.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) 1) (+.f64 (pow.f64 (cos.f64 eps) 2) -1)))
(/.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 6)) (+.f64 1 (-.f64 (pow.f64 (cos.f64 eps) 4) (*.f64 (pow.f64 (cos.f64 eps) 2) -1))))
(/.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 6)) (/.f64 1 (/.f64 1 (+.f64 1 (-.f64 (pow.f64 (cos.f64 eps) 4) (*.f64 (pow.f64 (cos.f64 eps) 2) -1))))))
(/.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 6))) (/.f64 (+.f64 1 (-.f64 (pow.f64 (cos.f64 eps) 4) (*.f64 (pow.f64 (cos.f64 eps) 2) -1))) (sqrt.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 6)))))
(/.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 4))) (/.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) 1) (sqrt.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 4)))))
(/.f64 (.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 6))) (cbrt.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 6)))) (/.f64 (+.f64 1 (-.f64 (pow.f64 (cos.f64 eps) 4) (.f64 (pow.f64 (cos.f64 eps) 2) -1))) (cbrt.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 6)))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 4))) (cbrt.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 4)))) (/.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) 1) (cbrt.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 4)))))
(/.f64 (*.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1) (+.f64 (cos.f64 eps) -1)) (+.f64 (cos.f64 eps) -1))
(/.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (-.f64 1 (pow.f64 (cos.f64 eps) 2))) (neg.f64 (+.f64 (cos.f64 eps) -1)))
(/.f64 (neg.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 4))) (neg.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) 1)))
(/.f64 (neg.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 6))) (neg.f64 (+.f64 1 (-.f64 (pow.f64 (cos.f64 eps) 4) (*.f64 (pow.f64 (cos.f64 eps) 2) -1)))))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 eps) 4)) (-.f64 -1 (pow.f64 (cos.f64 eps) 2)))
(/.f64 (-.f64 (pow.f64 (cos.f64 eps) 6) 1) (+.f64 (pow.f64 (cos.f64 eps) 4) (+.f64 (pow.f64 (cos.f64 eps) 2) 1)))
(/.f64 (*.f64 1 (neg.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 4)))) (neg.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) 1)))
(/.f64 (.f64 1 (neg.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 6)))) (neg.f64 (+.f64 1 (-.f64 (pow.f64 (cos.f64 eps) 4) (.f64 (pow.f64 (cos.f64 eps) 2) -1)))))
(/.f64 (*.f64 1 (-.f64 1 (pow.f64 (cos.f64 eps) 4))) (-.f64 -1 (pow.f64 (cos.f64 eps) 2)))
(/.f64 (*.f64 1 (-.f64 (pow.f64 (cos.f64 eps) 6) 1)) (+.f64 (pow.f64 (cos.f64 eps) 4) (+.f64 (pow.f64 (cos.f64 eps) 2) 1)))
(/.f64 (.f64 (sqrt.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1)) (sqrt.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 6)))) (sqrt.f64 (+.f64 1 (-.f64 (pow.f64 (cos.f64 eps) 4) (.f64 (pow.f64 (cos.f64 eps) 2) -1)))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1)) (sqrt.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 4)))) (sqrt.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) 1)))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1)) 2) (cbrt.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 6)))) (cbrt.f64 (+.f64 1 (-.f64 (pow.f64 (cos.f64 eps) 4) (.f64 (pow.f64 (cos.f64 eps) 2) -1)))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1)) 2) (cbrt.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 4)))) (cbrt.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) 1)))
(/.f64 (*.f64 (neg.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 4))) 1) (neg.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) 1)))
(/.f64 (.f64 (neg.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 6))) 1) (neg.f64 (+.f64 1 (-.f64 (pow.f64 (cos.f64 eps) 4) (.f64 (pow.f64 (cos.f64 eps) 2) -1)))))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (cos.f64 eps) 4)) 1) (-.f64 -1 (pow.f64 (cos.f64 eps) 2)))
(/.f64 (*.f64 (-.f64 (pow.f64 (cos.f64 eps) 6) 1) 1) (+.f64 (pow.f64 (cos.f64 eps) 4) (+.f64 (pow.f64 (cos.f64 eps) 2) 1)))
(/.f64 (.f64 (+.f64 1 (pow.f64 (cos.f64 eps) 3)) (+.f64 (cos.f64 eps) -1)) (+.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) 1) (.f64 (cos.f64 eps) -1)))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (cos.f64 eps) 3)) (+.f64 (cos.f64 eps) -1)) (+.f64 (pow.f64 (cos.f64 eps) 2) (-.f64 1 (cos.f64 eps))))
(/.f64 (.f64 (neg.f64 (+.f64 1 (pow.f64 (cos.f64 eps) 3))) (+.f64 (cos.f64 eps) -1)) (neg.f64 (+.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) 1) (.f64 (cos.f64 eps) -1))))
(/.f64 (.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 6))) (sqrt.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1))) (sqrt.f64 (+.f64 1 (-.f64 (pow.f64 (cos.f64 eps) 4) (.f64 (pow.f64 (cos.f64 eps) 2) -1)))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 4))) (sqrt.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1))) (sqrt.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) 1)))
(/.f64 (.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 6))) (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1)) 2)) (cbrt.f64 (+.f64 1 (-.f64 (pow.f64 (cos.f64 eps) 4) (.f64 (pow.f64 (cos.f64 eps) 2) -1)))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 4))) (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1)) 2)) (cbrt.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) 1)))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 (cos.f64 eps) 4) (pow.f64 (cos.f64 eps) 4)) 1) (/.f64 1 (+.f64 (pow.f64 (cos.f64 eps) 2) 1))) (+.f64 1 (pow.f64 (cos.f64 eps) 4)))
(/.f64 (.f64 (-.f64 (pow.f64 (pow.f64 (cos.f64 eps) 4) 3) 1) (/.f64 1 (+.f64 (pow.f64 (cos.f64 eps) 2) 1))) (+.f64 (.f64 (pow.f64 (cos.f64 eps) 4) (pow.f64 (cos.f64 eps) 4)) (+.f64 1 (pow.f64 (cos.f64 eps) 4))))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 (cos.f64 eps) 6) (pow.f64 (cos.f64 eps) 6)) 1) (/.f64 1 (+.f64 1 (-.f64 (pow.f64 (cos.f64 eps) 4) (*.f64 (pow.f64 (cos.f64 eps) 2) -1))))) (-.f64 (pow.f64 (cos.f64 eps) 6) -1))
(/.f64 (.f64 (+.f64 -1 (pow.f64 (pow.f64 (cos.f64 eps) 6) 3)) (/.f64 1 (+.f64 1 (-.f64 (pow.f64 (cos.f64 eps) 4) (.f64 (pow.f64 (cos.f64 eps) 2) -1))))) (+.f64 (.f64 (pow.f64 (cos.f64 eps) 6) (pow.f64 (cos.f64 eps) 6)) (-.f64 1 (.f64 -1 (pow.f64 (cos.f64 eps) 6)))))
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 4)) 1) (+.f64 (pow.f64 (cos.f64 eps) 2) 1))
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 4)) (sqrt.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) 1))) (sqrt.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) 1)))
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 4)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) 1)) (cbrt.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) 1)))) (cbrt.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) 1)))
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 6)) 1) (+.f64 1 (-.f64 (pow.f64 (cos.f64 eps) 4) (*.f64 (pow.f64 (cos.f64 eps) 2) -1))))
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 6)) (sqrt.f64 (+.f64 1 (-.f64 (pow.f64 (cos.f64 eps) 4) (.f64 (pow.f64 (cos.f64 eps) 2) -1))))) (sqrt.f64 (+.f64 1 (-.f64 (pow.f64 (cos.f64 eps) 4) (.f64 (pow.f64 (cos.f64 eps) 2) -1)))))
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 6)) (.f64 (cbrt.f64 (+.f64 1 (-.f64 (pow.f64 (cos.f64 eps) 4) (.f64 (pow.f64 (cos.f64 eps) 2) -1)))) (cbrt.f64 (+.f64 1 (-.f64 (pow.f64 (cos.f64 eps) 4) (.f64 (pow.f64 (cos.f64 eps) 2) -1)))))) (cbrt.f64 (+.f64 1 (-.f64 (pow.f64 (cos.f64 eps) 4) (.f64 (pow.f64 (cos.f64 eps) 2) -1)))))
(pow.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1) 1)
(pow.f64 (sqrt.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1)) 2)
(pow.f64 (cbrt.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1)) 3)
(pow.f64 (pow.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1) 3) 1/3)
(neg.f64 (*.f64 (sin.f64 eps) (sin.f64 eps)))
(sqrt.f64 (pow.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1) 2))
(log.f64 (exp.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1))))
(cbrt.f64 (pow.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1) 3))
(expm1.f64 (*.f64 2 (log.f64 (cos.f64 eps))))
(exp.f64 (log.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1)))
(log1p.f64 (expm1.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1)))
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(+.f64 (.f64 1/2 (cos.f64 (.f64 eps 2))) 1/2)
(-.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) 1) 1)
(-.f64 (+.f64 1 (/.f64 (pow.f64 (cos.f64 eps) 4) (+.f64 (pow.f64 (cos.f64 eps) 2) 1))) (/.f64 1 (+.f64 (pow.f64 (cos.f64 eps) 2) 1)))
(*.f64 (cos.f64 eps) (cos.f64 eps))
(*.f64 (pow.f64 (cos.f64 eps) 2) 1)
(*.f64 1 (pow.f64 (cos.f64 eps) 2))
(.f64 (sqrt.f64 (cos.f64 eps)) (.f64 (cos.f64 eps) (sqrt.f64 (cos.f64 eps))))
(.f64 (cbrt.f64 (cos.f64 eps)) (.f64 (cos.f64 eps) (pow.f64 (cbrt.f64 (cos.f64 eps)) 2)))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 eps)) 2) (cbrt.f64 (pow.f64 (cos.f64 eps) 4)))
(.f64 (pow.f64 (cbrt.f64 (cos.f64 eps)) 2) (.f64 (cos.f64 eps) (cbrt.f64 (cos.f64 eps))))
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 eps) 4)) (pow.f64 (cbrt.f64 (cos.f64 eps)) 2))
(.f64 (.f64 (cos.f64 eps) (sqrt.f64 (cos.f64 eps))) (sqrt.f64 (cos.f64 eps)))
(.f64 (.f64 (cos.f64 eps) (pow.f64 (cbrt.f64 (cos.f64 eps)) 2)) (cbrt.f64 (cos.f64 eps)))
(.f64 (.f64 (cos.f64 eps) (cbrt.f64 (cos.f64 eps))) (pow.f64 (cbrt.f64 (cos.f64 eps)) 2))
(/.f64 (+.f64 (cos.f64 (+.f64 eps eps)) (cos.f64 (-.f64 eps eps))) 2)
(/.f64 (*.f64 1 (+.f64 (cos.f64 (+.f64 eps eps)) (cos.f64 (-.f64 eps eps)))) 2)
(/.f64 (*.f64 (+.f64 (cos.f64 (+.f64 eps eps)) (cos.f64 (-.f64 eps eps))) 1) 2)
(sqrt.f64 (pow.f64 (cos.f64 eps) 4))
(log.f64 (exp.f64 (pow.f64 (cos.f64 eps) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cos.f64 eps) 2))))
(cbrt.f64 (pow.f64 (cos.f64 eps) 6))
(expm1.f64 (log1p.f64 (pow.f64 (cos.f64 eps) 2)))
(exp.f64 (*.f64 2 (log.f64 (cos.f64 eps))))
(log1p.f64 (expm1.f64 (pow.f64 (cos.f64 eps) 2)))
(+.f64 (cos.f64 eps) -1)
(+.f64 -1 (cos.f64 eps))
(-.f64 (cos.f64 eps) 1)
(-.f64 (+.f64 (cos.f64 eps) 1) 2)
(-.f64 (+.f64 -1 (+.f64 (cos.f64 eps) 1)) 1)
(*.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1) (/.f64 -1 (-.f64 -1 (cos.f64 eps))))
(*.f64 (+.f64 (cos.f64 eps) -1) 1)
(*.f64 (+.f64 (cos.f64 eps) -1) (/.f64 (+.f64 (cos.f64 eps) 1) (+.f64 (cos.f64 eps) 1)))
(*.f64 1 (+.f64 (cos.f64 eps) -1))
(*.f64 (sqrt.f64 (+.f64 (cos.f64 eps) -1)) (sqrt.f64 (+.f64 (cos.f64 eps) -1)))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -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 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) (/.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1)) 2) (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 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1)) 2) (/.f64 (cbrt.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1)) (+.f64 (cos.f64 eps) 1)))
(*.f64 (/.f64 -1 (-.f64 -1 (cos.f64 eps))) (+.f64 (pow.f64 (cos.f64 eps) 2) -1))
(.f64 (+.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) 1) (.f64 (cos.f64 eps) -1)) (/.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1) (+.f64 1 (pow.f64 (cos.f64 eps) 3))))
(*.f64 (-.f64 1 (pow.f64 (cos.f64 eps) 2)) (/.f64 -1 (+.f64 (cos.f64 eps) 1)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 (cos.f64 eps) -1)) (sqrt.f64 (+.f64 (cos.f64 eps) 1))) (sqrt.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 (cos.f64 eps) -1)) (sqrt.f64 (+.f64 (cos.f64 eps) 1))) (/.f64 (sqrt.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1)) 1))
(*.f64 (/.f64 (cbrt.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1)) (+.f64 (cos.f64 eps) 1)) (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1)) 2))
(*.f64 (/.f64 (cbrt.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1)) (+.f64 (cos.f64 eps) 1)) (/.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1)) 2) 1))
(*.f64 (/.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1) (sqrt.f64 (+.f64 (cos.f64 eps) 1))) (/.f64 1 (sqrt.f64 (+.f64 (cos.f64 eps) 1))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 (cos.f64 eps) 1))) (/.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1) (sqrt.f64 (+.f64 (cos.f64 eps) 1))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) 1)) 2)) (/.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1) (cbrt.f64 (+.f64 (cos.f64 eps) 1))))
(*.f64 (/.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1) (cbrt.f64 (+.f64 (cos.f64 eps) 1))) (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) 1)) 2)))
(*.f64 (/.f64 (+.f64 (cos.f64 eps) 1) (+.f64 (cos.f64 eps) 1)) (+.f64 (cos.f64 eps) -1))
(.f64 (/.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1) (+.f64 1 (pow.f64 (cos.f64 eps) 3))) (+.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) 1) (.f64 (cos.f64 eps) -1)))
(*.f64 (+.f64 1 (sqrt.f64 (cos.f64 eps))) (-.f64 (sqrt.f64 (cos.f64 eps)) 1))
(*.f64 (-.f64 (sqrt.f64 (cos.f64 eps)) 1) (+.f64 1 (sqrt.f64 (cos.f64 eps))))
(*.f64 (/.f64 -1 (+.f64 (cos.f64 eps) 1)) (-.f64 1 (pow.f64 (cos.f64 eps) 2)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1)) 1) (/.f64 (sqrt.f64 (+.f64 (cos.f64 eps) -1)) (sqrt.f64 (+.f64 (cos.f64 eps) 1))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1)) (pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) 1)) 2)) (/.f64 (sqrt.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1)) (cbrt.f64 (+.f64 (cos.f64 eps) 1))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1)) (cbrt.f64 (+.f64 (cos.f64 eps) 1))) (/.f64 (sqrt.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1)) (pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) 1)) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1)) 2) 1) (/.f64 (cbrt.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1)) (+.f64 (cos.f64 eps) 1)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1)) 2) (sqrt.f64 (+.f64 (cos.f64 eps) 1))) (/.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) (cbrt.f64 (sqrt.f64 (+.f64 (cos.f64 eps) 1)))))
(*.f64 (/.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) (cbrt.f64 (sqrt.f64 (+.f64 (cos.f64 eps) 1)))) (/.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1)) 2) (sqrt.f64 (+.f64 (cos.f64 eps) 1))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1)) 2) (pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) 1)) 2)) (cbrt.f64 (+.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)
(pow.f64 (/.f64 1 (+.f64 (cos.f64 eps) -1)) -1)
(neg.f64 (/.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1) (-.f64 -1 (cos.f64 eps))))
(sqrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2))
(log.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)))
(log.f64 (+.f64 1 (expm1.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 (pow.f64 eps 2))
(neg.f64 (*.f64 eps eps))
(*.f64 eps (neg.f64 eps))
(+.f64 (.f64 -1 (pow.f64 eps 2)) (.f64 1/3 (pow.f64 eps 4)))
(fma.f64 -1 (.f64 eps eps) (.f64 1/3 (pow.f64 eps 4)))
(-.f64 (.f64 1/3 (pow.f64 eps 4)) (.f64 eps eps))
(+.f64 (.f64 -1 (pow.f64 eps 2)) (+.f64 (.f64 1/3 (pow.f64 eps 4)) (*.f64 -2/45 (pow.f64 eps 6))))
(fma.f64 -1 (.f64 eps eps) (fma.f64 1/3 (pow.f64 eps 4) (.f64 -2/45 (pow.f64 eps 6))))
(-.f64 (fma.f64 1/3 (pow.f64 eps 4) (.f64 -2/45 (pow.f64 eps 6))) (.f64 eps eps))
(+.f64 (.f64 -1 (pow.f64 eps 2)) (+.f64 (.f64 1/3 (pow.f64 eps 4)) (+.f64 (.f64 -2/45 (pow.f64 eps 6)) (.f64 1/315 (pow.f64 eps 8)))))
(fma.f64 -1 (.f64 eps eps) (fma.f64 1/3 (pow.f64 eps 4) (fma.f64 -2/45 (pow.f64 eps 6) (.f64 1/315 (pow.f64 eps 8)))))
(-.f64 (fma.f64 1/3 (pow.f64 eps 4) (fma.f64 -2/45 (pow.f64 eps 6) (.f64 1/315 (pow.f64 eps 8)))) (.f64 eps eps))
(-.f64 (pow.f64 (cos.f64 eps) 2) 1)
(fma.f64 (cos.f64 eps) (cos.f64 eps) -1)
(+.f64 -1 (pow.f64 (cos.f64 eps) 2))
(-.f64 (pow.f64 (cos.f64 eps) 2) 1)
(fma.f64 (cos.f64 eps) (cos.f64 eps) -1)
(+.f64 -1 (pow.f64 (cos.f64 eps) 2))
(-.f64 (pow.f64 (cos.f64 eps) 2) 1)
(fma.f64 (cos.f64 eps) (cos.f64 eps) -1)
(+.f64 -1 (pow.f64 (cos.f64 eps) 2))
(-.f64 (pow.f64 (cos.f64 eps) 2) 1)
(fma.f64 (cos.f64 eps) (cos.f64 eps) -1)
(+.f64 -1 (pow.f64 (cos.f64 eps) 2))
(-.f64 (pow.f64 (cos.f64 eps) 2) 1)
(fma.f64 (cos.f64 eps) (cos.f64 eps) -1)
(+.f64 -1 (pow.f64 (cos.f64 eps) 2))
(-.f64 (pow.f64 (cos.f64 eps) 2) 1)
(fma.f64 (cos.f64 eps) (cos.f64 eps) -1)
(+.f64 -1 (pow.f64 (cos.f64 eps) 2))
(-.f64 (pow.f64 (cos.f64 eps) 2) 1)
(fma.f64 (cos.f64 eps) (cos.f64 eps) -1)
(+.f64 -1 (pow.f64 (cos.f64 eps) 2))
(-.f64 (pow.f64 (cos.f64 eps) 2) 1)
(fma.f64 (cos.f64 eps) (cos.f64 eps) -1)
(+.f64 -1 (pow.f64 (cos.f64 eps) 2))
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) (+.f64 (fma.f64 -1/2 (.f64 eps eps) 2) (.f64 (pow.f64 eps 6) -1/720)))
(+.f64 (fma.f64 1/24 (pow.f64 eps 4) (fma.f64 -1/2 (.f64 eps eps) 2)) (.f64 (pow.f64 eps 6) -1/720))
(+.f64 1 (cos.f64 eps))
(+.f64 (cos.f64 eps) 1)
(+.f64 1 (cos.f64 eps))
(+.f64 (cos.f64 eps) 1)
(+.f64 1 (cos.f64 eps))
(+.f64 (cos.f64 eps) 1)
(+.f64 1 (cos.f64 eps))
(+.f64 (cos.f64 eps) 1)
(+.f64 1 (cos.f64 eps))
(+.f64 (cos.f64 eps) 1)
(+.f64 1 (cos.f64 eps))
(+.f64 (cos.f64 eps) 1)
(+.f64 1 (cos.f64 eps))
(+.f64 (cos.f64 eps) 1)
(+.f64 1 (cos.f64 eps))
(+.f64 (cos.f64 eps) 1)
1
(+.f64 1 (*.f64 -1 (pow.f64 eps 2)))
(+.f64 (neg.f64 (*.f64 eps eps)) 1)
(-.f64 1 (*.f64 eps eps))
(+.f64 1 (+.f64 (.f64 -1 (pow.f64 eps 2)) (.f64 1/3 (pow.f64 eps 4))))
(+.f64 (fma.f64 -1 (.f64 eps eps) (.f64 1/3 (pow.f64 eps 4))) 1)
(+.f64 (.f64 1/3 (pow.f64 eps 4)) (-.f64 1 (.f64 eps eps)))
(+.f64 1 (+.f64 (.f64 -1 (pow.f64 eps 2)) (+.f64 (.f64 1/3 (pow.f64 eps 4)) (*.f64 -2/45 (pow.f64 eps 6)))))
(+.f64 (fma.f64 -1 (.f64 eps eps) (fma.f64 1/3 (pow.f64 eps 4) (.f64 -2/45 (pow.f64 eps 6)))) 1)
(+.f64 (fma.f64 1/3 (pow.f64 eps 4) (.f64 -2/45 (pow.f64 eps 6))) (-.f64 1 (.f64 eps eps)))
(*.f64 -1/2 (pow.f64 eps 2))
(.f64 (.f64 eps eps) -1/2)
(+.f64 (.f64 1/24 (pow.f64 eps 4)) (.f64 -1/2 (pow.f64 eps 2)))
(fma.f64 1/24 (pow.f64 eps 4) (.f64 (.f64 eps eps) -1/2))
(+.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 (pow.f64 eps 6) -1/720)))
(+.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 (pow.f64 eps 8) 1/40320))))
(/.f64 (-.f64 (pow.f64 (cos.f64 eps) 2) 1) (+.f64 1 (cos.f64 eps)))
(/.f64 (fma.f64 (cos.f64 eps) (cos.f64 eps) -1) (+.f64 (cos.f64 eps) 1))
(+.f64 -1 (cos.f64 eps))
(/.f64 (-.f64 (pow.f64 (cos.f64 eps) 2) 1) (+.f64 1 (cos.f64 eps)))
(/.f64 (fma.f64 (cos.f64 eps) (cos.f64 eps) -1) (+.f64 (cos.f64 eps) 1))
(+.f64 -1 (cos.f64 eps))
(/.f64 (-.f64 (pow.f64 (cos.f64 eps) 2) 1) (+.f64 1 (cos.f64 eps)))
(/.f64 (fma.f64 (cos.f64 eps) (cos.f64 eps) -1) (+.f64 (cos.f64 eps) 1))
(+.f64 -1 (cos.f64 eps))
(/.f64 (-.f64 (pow.f64 (cos.f64 eps) 2) 1) (+.f64 1 (cos.f64 eps)))
(/.f64 (fma.f64 (cos.f64 eps) (cos.f64 eps) -1) (+.f64 (cos.f64 eps) 1))
(+.f64 -1 (cos.f64 eps))
(/.f64 (-.f64 (pow.f64 (cos.f64 eps) 2) 1) (+.f64 1 (cos.f64 eps)))
(/.f64 (fma.f64 (cos.f64 eps) (cos.f64 eps) -1) (+.f64 (cos.f64 eps) 1))
(+.f64 -1 (cos.f64 eps))
(/.f64 (-.f64 (pow.f64 (cos.f64 eps) 2) 1) (+.f64 1 (cos.f64 eps)))
(/.f64 (fma.f64 (cos.f64 eps) (cos.f64 eps) -1) (+.f64 (cos.f64 eps) 1))
(+.f64 -1 (cos.f64 eps))
(/.f64 (-.f64 (pow.f64 (cos.f64 eps) 2) 1) (+.f64 1 (cos.f64 eps)))
(/.f64 (fma.f64 (cos.f64 eps) (cos.f64 eps) -1) (+.f64 (cos.f64 eps) 1))
(+.f64 -1 (cos.f64 eps))
(/.f64 (-.f64 (pow.f64 (cos.f64 eps) 2) 1) (+.f64 1 (cos.f64 eps)))
(/.f64 (fma.f64 (cos.f64 eps) (cos.f64 eps) -1) (+.f64 (cos.f64 eps) 1))
(+.f64 -1 (cos.f64 eps))
(-.f64 (pow.f64 (cos.f64 eps) 2) 1)
(fma.f64 (cos.f64 eps) (cos.f64 eps) -1)
(+.f64 -1 (pow.f64 (cos.f64 eps) 2))
(-.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) 1) 2)
(fma.f64 (cos.f64 eps) (cos.f64 eps) -1)
(+.f64 -1 (pow.f64 (cos.f64 eps) 2))
(-.f64 (/.f64 (pow.f64 (cos.f64 eps) 4) (+.f64 (pow.f64 (cos.f64 eps) 2) 1)) (/.f64 1 (+.f64 (pow.f64 (cos.f64 eps) 2) 1)))
(fma.f64 (cos.f64 eps) (cos.f64 eps) -1)
(+.f64 -1 (pow.f64 (cos.f64 eps) 2))
(-.f64 (+.f64 -1 (+.f64 (pow.f64 (cos.f64 eps) 2) 1)) 1)
(fma.f64 (cos.f64 eps) (cos.f64 eps) -1)
(+.f64 -1 (pow.f64 (cos.f64 eps) 2))
(*.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1) 1)
(fma.f64 (cos.f64 eps) (cos.f64 eps) -1)
(+.f64 -1 (pow.f64 (cos.f64 eps) 2))
(*.f64 (+.f64 (cos.f64 eps) 1) (+.f64 (cos.f64 eps) -1))
(fma.f64 (cos.f64 eps) (cos.f64 eps) -1)
(+.f64 -1 (pow.f64 (cos.f64 eps) 2))
(*.f64 (+.f64 (cos.f64 eps) -1) (+.f64 (cos.f64 eps) 1))
(fma.f64 (cos.f64 eps) (cos.f64 eps) -1)
(+.f64 -1 (pow.f64 (cos.f64 eps) 2))
(*.f64 1 (+.f64 (pow.f64 (cos.f64 eps) 2) -1))
(fma.f64 (cos.f64 eps) (cos.f64 eps) -1)
(+.f64 -1 (pow.f64 (cos.f64 eps) 2))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1)) (sqrt.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1)))
(fma.f64 (cos.f64 eps) (cos.f64 eps) -1)
(+.f64 -1 (pow.f64 (cos.f64 eps) 2))
(*.f64 (cbrt.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1)) (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1)) 2))
(fma.f64 (cos.f64 eps) (cos.f64 eps) -1)
(+.f64 -1 (pow.f64 (cos.f64 eps) 2))
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(+.f64 -1 (cos.f64 eps))
(*.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1) (/.f64 -1 (-.f64 -1 (cos.f64 eps))))
(*.f64 (fma.f64 (cos.f64 eps) (cos.f64 eps) -1) (/.f64 -1 (-.f64 -1 (cos.f64 eps))))
(neg.f64 (-.f64 (/.f64 (cos.f64 eps) -1) -1))
(*.f64 (+.f64 (cos.f64 eps) -1) 1)
(/.f64 (fma.f64 (cos.f64 eps) (cos.f64 eps) -1) (+.f64 (cos.f64 eps) 1))
(+.f64 -1 (cos.f64 eps))
(*.f64 (+.f64 (cos.f64 eps) -1) (/.f64 (+.f64 (cos.f64 eps) 1) (+.f64 (cos.f64 eps) 1)))
(/.f64 (fma.f64 (cos.f64 eps) (cos.f64 eps) -1) (+.f64 (cos.f64 eps) 1))
(+.f64 -1 (cos.f64 eps))
(*.f64 1 (+.f64 (cos.f64 eps) -1))
(/.f64 (fma.f64 (cos.f64 eps) (cos.f64 eps) -1) (+.f64 (cos.f64 eps) 1))
(+.f64 -1 (cos.f64 eps))
(*.f64 (sqrt.f64 (+.f64 (cos.f64 eps) -1)) (sqrt.f64 (+.f64 (cos.f64 eps) -1)))
(/.f64 (fma.f64 (cos.f64 eps) (cos.f64 eps) -1) (+.f64 (cos.f64 eps) 1))
(+.f64 -1 (cos.f64 eps))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1)) (/.f64 (sqrt.f64 (+.f64 (cos.f64 eps) -1)) (sqrt.f64 (+.f64 (cos.f64 eps) 1))))
(*.f64 (sqrt.f64 (fma.f64 (cos.f64 eps) (cos.f64 eps) -1)) (/.f64 (sqrt.f64 (+.f64 -1 (cos.f64 eps))) (sqrt.f64 (+.f64 (cos.f64 eps) 1))))
(*.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 2))) (/.f64 (sqrt.f64 (+.f64 -1 (cos.f64 eps))) (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 (fma.f64 (cos.f64 eps) (cos.f64 eps) -1) (+.f64 (cos.f64 eps) 1))
(+.f64 -1 (cos.f64 eps))
(*.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) (/.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1)) 2) (pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) 1)) 2)))
(*.f64 (cbrt.f64 (+.f64 -1 (cos.f64 eps))) (/.f64 (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 eps) (cos.f64 eps) -1)) 2) (pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) 1)) 2)))
(*.f64 (cbrt.f64 (+.f64 -1 (cos.f64 eps))) (/.f64 (pow.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 2))) 2) (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 (fma.f64 (cos.f64 eps) (cos.f64 eps) -1) (+.f64 (cos.f64 eps) 1))
(+.f64 -1 (cos.f64 eps))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1)) 2) (/.f64 (cbrt.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1)) (+.f64 (cos.f64 eps) 1)))
(/.f64 (fma.f64 (cos.f64 eps) (cos.f64 eps) -1) (+.f64 (cos.f64 eps) 1))
(+.f64 -1 (cos.f64 eps))
(*.f64 (/.f64 -1 (-.f64 -1 (cos.f64 eps))) (+.f64 (pow.f64 (cos.f64 eps) 2) -1))
(*.f64 (fma.f64 (cos.f64 eps) (cos.f64 eps) -1) (/.f64 -1 (-.f64 -1 (cos.f64 eps))))
(neg.f64 (-.f64 (/.f64 (cos.f64 eps) -1) -1))
(.f64 (+.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) 1) (.f64 (cos.f64 eps) -1)) (/.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1) (+.f64 1 (pow.f64 (cos.f64 eps) 3))))
(.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) (+.f64 1 (.f64 -1 (cos.f64 eps)))) (/.f64 (fma.f64 (cos.f64 eps) (cos.f64 eps) -1) (+.f64 1 (pow.f64 (cos.f64 eps) 3))))
(/.f64 (+.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 4)) (+.f64 (cos.f64 eps) (neg.f64 (pow.f64 (cos.f64 eps) 3)))) (+.f64 1 (pow.f64 (cos.f64 eps) 3)))
(*.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 -1 (cos.f64 eps))
(*.f64 (/.f64 (sqrt.f64 (+.f64 (cos.f64 eps) -1)) (sqrt.f64 (+.f64 (cos.f64 eps) 1))) (sqrt.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1)))
(*.f64 (sqrt.f64 (fma.f64 (cos.f64 eps) (cos.f64 eps) -1)) (/.f64 (sqrt.f64 (+.f64 -1 (cos.f64 eps))) (sqrt.f64 (+.f64 (cos.f64 eps) 1))))
(*.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 2))) (/.f64 (sqrt.f64 (+.f64 -1 (cos.f64 eps))) (sqrt.f64 (+.f64 (cos.f64 eps) 1))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 (cos.f64 eps) -1)) (sqrt.f64 (+.f64 (cos.f64 eps) 1))) (/.f64 (sqrt.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1)) 1))
(*.f64 (sqrt.f64 (fma.f64 (cos.f64 eps) (cos.f64 eps) -1)) (/.f64 (sqrt.f64 (+.f64 -1 (cos.f64 eps))) (sqrt.f64 (+.f64 (cos.f64 eps) 1))))
(*.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 2))) (/.f64 (sqrt.f64 (+.f64 -1 (cos.f64 eps))) (sqrt.f64 (+.f64 (cos.f64 eps) 1))))
(*.f64 (/.f64 (cbrt.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1)) (+.f64 (cos.f64 eps) 1)) (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1)) 2))
(/.f64 (fma.f64 (cos.f64 eps) (cos.f64 eps) -1) (+.f64 (cos.f64 eps) 1))
(+.f64 -1 (cos.f64 eps))
(*.f64 (/.f64 (cbrt.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1)) (+.f64 (cos.f64 eps) 1)) (/.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1)) 2) 1))
(/.f64 (fma.f64 (cos.f64 eps) (cos.f64 eps) -1) (+.f64 (cos.f64 eps) 1))
(+.f64 -1 (cos.f64 eps))
(*.f64 (/.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1) (sqrt.f64 (+.f64 (cos.f64 eps) 1))) (/.f64 1 (sqrt.f64 (+.f64 (cos.f64 eps) 1))))
(/.f64 (fma.f64 (cos.f64 eps) (cos.f64 eps) -1) (+.f64 (cos.f64 eps) 1))
(+.f64 -1 (cos.f64 eps))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 (cos.f64 eps) 1))) (/.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1) (sqrt.f64 (+.f64 (cos.f64 eps) 1))))
(/.f64 (fma.f64 (cos.f64 eps) (cos.f64 eps) -1) (+.f64 (cos.f64 eps) 1))
(+.f64 -1 (cos.f64 eps))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) 1)) 2)) (/.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1) (cbrt.f64 (+.f64 (cos.f64 eps) 1))))
(/.f64 (fma.f64 (cos.f64 eps) (cos.f64 eps) -1) (+.f64 (cos.f64 eps) 1))
(+.f64 -1 (cos.f64 eps))
(*.f64 (/.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1) (cbrt.f64 (+.f64 (cos.f64 eps) 1))) (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) 1)) 2)))
(/.f64 (fma.f64 (cos.f64 eps) (cos.f64 eps) -1) (+.f64 (cos.f64 eps) 1))
(+.f64 -1 (cos.f64 eps))
(*.f64 (/.f64 (+.f64 (cos.f64 eps) 1) (+.f64 (cos.f64 eps) 1)) (+.f64 (cos.f64 eps) -1))
(/.f64 (fma.f64 (cos.f64 eps) (cos.f64 eps) -1) (+.f64 (cos.f64 eps) 1))
(+.f64 -1 (cos.f64 eps))
(.f64 (/.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1) (+.f64 1 (pow.f64 (cos.f64 eps) 3))) (+.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) 1) (.f64 (cos.f64 eps) -1)))
(.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) (+.f64 1 (.f64 -1 (cos.f64 eps)))) (/.f64 (fma.f64 (cos.f64 eps) (cos.f64 eps) -1) (+.f64 1 (pow.f64 (cos.f64 eps) 3))))
(/.f64 (+.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 4)) (+.f64 (cos.f64 eps) (neg.f64 (pow.f64 (cos.f64 eps) 3)))) (+.f64 1 (pow.f64 (cos.f64 eps) 3)))
(*.f64 (+.f64 1 (sqrt.f64 (cos.f64 eps))) (-.f64 (sqrt.f64 (cos.f64 eps)) 1))
(*.f64 (+.f64 1 (sqrt.f64 (cos.f64 eps))) (+.f64 (sqrt.f64 (cos.f64 eps)) -1))
(fma.f64 (sqrt.f64 (cos.f64 eps)) (sqrt.f64 (cos.f64 eps)) -1)
(*.f64 (-.f64 (sqrt.f64 (cos.f64 eps)) 1) (+.f64 1 (sqrt.f64 (cos.f64 eps))))
(*.f64 (+.f64 1 (sqrt.f64 (cos.f64 eps))) (+.f64 (sqrt.f64 (cos.f64 eps)) -1))
(fma.f64 (sqrt.f64 (cos.f64 eps)) (sqrt.f64 (cos.f64 eps)) -1)
(*.f64 (/.f64 -1 (+.f64 (cos.f64 eps) 1)) (-.f64 1 (pow.f64 (cos.f64 eps) 2)))
(/.f64 (fma.f64 (cos.f64 eps) (cos.f64 eps) -1) (+.f64 (cos.f64 eps) 1))
(+.f64 -1 (cos.f64 eps))
(*.f64 (/.f64 (sqrt.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1)) 1) (/.f64 (sqrt.f64 (+.f64 (cos.f64 eps) -1)) (sqrt.f64 (+.f64 (cos.f64 eps) 1))))
(*.f64 (sqrt.f64 (fma.f64 (cos.f64 eps) (cos.f64 eps) -1)) (/.f64 (sqrt.f64 (+.f64 -1 (cos.f64 eps))) (sqrt.f64 (+.f64 (cos.f64 eps) 1))))
(*.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 2))) (/.f64 (sqrt.f64 (+.f64 -1 (cos.f64 eps))) (sqrt.f64 (+.f64 (cos.f64 eps) 1))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1)) (pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) 1)) 2)) (/.f64 (sqrt.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1)) (cbrt.f64 (+.f64 (cos.f64 eps) 1))))
(/.f64 (fma.f64 (cos.f64 eps) (cos.f64 eps) -1) (+.f64 (cos.f64 eps) 1))
(+.f64 -1 (cos.f64 eps))
(*.f64 (/.f64 (sqrt.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1)) (cbrt.f64 (+.f64 (cos.f64 eps) 1))) (/.f64 (sqrt.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1)) (pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) 1)) 2)))
(/.f64 (fma.f64 (cos.f64 eps) (cos.f64 eps) -1) (+.f64 (cos.f64 eps) 1))
(+.f64 -1 (cos.f64 eps))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1)) 2) 1) (/.f64 (cbrt.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1)) (+.f64 (cos.f64 eps) 1)))
(/.f64 (fma.f64 (cos.f64 eps) (cos.f64 eps) -1) (+.f64 (cos.f64 eps) 1))
(+.f64 -1 (cos.f64 eps))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1)) 2) (sqrt.f64 (+.f64 (cos.f64 eps) 1))) (/.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) (cbrt.f64 (sqrt.f64 (+.f64 (cos.f64 eps) 1)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 eps) (cos.f64 eps) -1)) 2) (sqrt.f64 (+.f64 (cos.f64 eps) 1))) (/.f64 (cbrt.f64 (+.f64 -1 (cos.f64 eps))) (cbrt.f64 (sqrt.f64 (+.f64 (cos.f64 eps) 1)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 2))) 2) (sqrt.f64 (+.f64 (cos.f64 eps) 1))) (/.f64 (cbrt.f64 (+.f64 -1 (cos.f64 eps))) (cbrt.f64 (sqrt.f64 (+.f64 (cos.f64 eps) 1)))))
(*.f64 (/.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) (cbrt.f64 (sqrt.f64 (+.f64 (cos.f64 eps) 1)))) (/.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1)) 2) (sqrt.f64 (+.f64 (cos.f64 eps) 1))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 eps) (cos.f64 eps) -1)) 2) (sqrt.f64 (+.f64 (cos.f64 eps) 1))) (/.f64 (cbrt.f64 (+.f64 -1 (cos.f64 eps))) (cbrt.f64 (sqrt.f64 (+.f64 (cos.f64 eps) 1)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 2))) 2) (sqrt.f64 (+.f64 (cos.f64 eps) 1))) (/.f64 (cbrt.f64 (+.f64 -1 (cos.f64 eps))) (cbrt.f64 (sqrt.f64 (+.f64 (cos.f64 eps) 1)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1)) 2) (pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) 1)) 2)) (cbrt.f64 (+.f64 (cos.f64 eps) -1)))
(*.f64 (cbrt.f64 (+.f64 -1 (cos.f64 eps))) (/.f64 (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 eps) (cos.f64 eps) -1)) 2) (pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) 1)) 2)))
(*.f64 (cbrt.f64 (+.f64 -1 (cos.f64 eps))) (/.f64 (pow.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 2))) 2) (pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) 1)) 2)))
(pow.f64 (+.f64 (cos.f64 eps) -1) 1)
(/.f64 (fma.f64 (cos.f64 eps) (cos.f64 eps) -1) (+.f64 (cos.f64 eps) 1))
(+.f64 -1 (cos.f64 eps))
(pow.f64 (sqrt.f64 (+.f64 (cos.f64 eps) -1)) 2)
(/.f64 (fma.f64 (cos.f64 eps) (cos.f64 eps) -1) (+.f64 (cos.f64 eps) 1))
(+.f64 -1 (cos.f64 eps))
(pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 3)
(/.f64 (fma.f64 (cos.f64 eps) (cos.f64 eps) -1) (+.f64 (cos.f64 eps) 1))
(+.f64 -1 (cos.f64 eps))
(pow.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 3) 1/3)
(/.f64 (fma.f64 (cos.f64 eps) (cos.f64 eps) -1) (+.f64 (cos.f64 eps) 1))
(+.f64 -1 (cos.f64 eps))
(pow.f64 (/.f64 1 (+.f64 (cos.f64 eps) -1)) -1)
(/.f64 (fma.f64 (cos.f64 eps) (cos.f64 eps) -1) (+.f64 (cos.f64 eps) 1))
(+.f64 -1 (cos.f64 eps))
(neg.f64 (/.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1) (-.f64 -1 (cos.f64 eps))))
(*.f64 (fma.f64 (cos.f64 eps) (cos.f64 eps) -1) (/.f64 -1 (-.f64 -1 (cos.f64 eps))))
(neg.f64 (-.f64 (/.f64 (cos.f64 eps) -1) -1))
(sqrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2))
(sqrt.f64 (pow.f64 (+.f64 -1 (cos.f64 eps)) 2))
(log.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)))
(/.f64 (fma.f64 (cos.f64 eps) (cos.f64 eps) -1) (+.f64 (cos.f64 eps) 1))
(+.f64 -1 (cos.f64 eps))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (cos.f64 eps) -1))))
(/.f64 (fma.f64 (cos.f64 eps) (cos.f64 eps) -1) (+.f64 (cos.f64 eps) 1))
(+.f64 -1 (cos.f64 eps))
(cbrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 3))
(/.f64 (fma.f64 (cos.f64 eps) (cos.f64 eps) -1) (+.f64 (cos.f64 eps) 1))
(+.f64 -1 (cos.f64 eps))
(expm1.f64 (log.f64 (cos.f64 eps)))
(exp.f64 (log.f64 (+.f64 (cos.f64 eps) -1)))
(/.f64 (fma.f64 (cos.f64 eps) (cos.f64 eps) -1) (+.f64 (cos.f64 eps) 1))
(+.f64 -1 (cos.f64 eps))
(log1p.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1)))
(/.f64 (fma.f64 (cos.f64 eps) (cos.f64 eps) -1) (+.f64 (cos.f64 eps) 1))
(+.f64 -1 (cos.f64 eps))
(fma.f64 1 (cos.f64 eps) -1)
(/.f64 (fma.f64 (cos.f64 eps) (cos.f64 eps) -1) (+.f64 (cos.f64 eps) 1))
(+.f64 -1 (cos.f64 eps))
(fma.f64 (sqrt.f64 (cos.f64 eps)) (sqrt.f64 (cos.f64 eps)) -1)
(*.f64 (+.f64 1 (sqrt.f64 (cos.f64 eps))) (+.f64 (sqrt.f64 (cos.f64 eps)) -1))
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 eps)) 2) (cbrt.f64 (cos.f64 eps)) -1)

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(sin.f64 eps)
	0.0b	(cos.f64 eps)
✓	0.1b	(fma.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)) (neg.f64 (cos.f64 x)))
✓	2.9b	(fma.f64 (cos.f64 x) (cos.f64 eps) (fma.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)) (neg.f64 (cos.f64 x))))

Compiler

Compiled 41 to 10 computations (75.6% saved)

series3.0ms (0%)

Counts

3 → 52

Calls

15 calls:

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

rewrite83.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1010×	`*-commutative`
720×	`unswap-sqr`
556×	`swap-sqr`
414×	`sqr-pow`
410×	`pow-sqr`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	79
1	259	63
2	3215	63

Stop Event

1×	node limit

Counts

3 → 162

Calls

Call 1

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

Outputs

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

simplify130.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1586×	`associate-/r/`
824×	`associate--l+`
702×	`+-commutative`
692×	`associate-r`
514×	`associate-+l-`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	414	8862
1	990	8046
2	5160	8046

Stop Event

1×	node limit

Counts

214 → 281

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 (.f64 -1 (.f64 (sin.f64 x) (sin.f64 eps))) (*.f64 (cos.f64 eps) (cos.f64 x))) (cos.f64 x))
(-.f64 (+.f64 (.f64 -1 (.f64 (sin.f64 x) (sin.f64 eps))) (*.f64 (cos.f64 eps) (cos.f64 x))) (cos.f64 x))
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-1
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(*.f64 -1 (cos.f64 x))
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eps
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(cbrt.f64 (pow.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))) 3))
(expm1.f64 (log1p.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))))
(exp.f64 (log.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))))
(log1p.f64 (expm1.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))))
(+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps)))
(+.f64 0 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))
(+.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 x))
(+.f64 (exp.f64 (log1p.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))) -1)
(+.f64 (-.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) 0) (cos.f64 x))
(+.f64 (-.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (exp.f64 (log1p.f64 (cos.f64 x)))) 1)
(-.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps)))
(-.f64 0 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))
(-.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 x))
(-.f64 (exp.f64 (log1p.f64 (cos.f64 x))) (-.f64 1 (*.f64 (sin.f64 x) (sin.f64 eps))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))) 1)
(-.f64 (+.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (exp.f64 (log1p.f64 (cos.f64 x)))) 1)
(-.f64 (-.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) 0) (cos.f64 x))
(*.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)) 1)
(*.f64 1 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))
(*.f64 (sqrt.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))) (sqrt.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))))
(*.f64 (cbrt.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))) (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))) 2) (cbrt.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))))
(*.f64 (pow.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)) 2) (/.f64 1 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))))
(.f64 (+.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (.f64 (sin.f64 x) (sin.f64 eps)) 3)) (/.f64 1 (-.f64 (pow.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)) 2) (.f64 (cos.f64 x) (.f64 (sin.f64 x) (sin.f64 eps))))))
(*.f64 (/.f64 (pow.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)) 2) (pow.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)) 2)) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))
(.f64 (/.f64 (pow.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)) 2) (+.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (.f64 (sin.f64 x) (sin.f64 eps)) 3))) (-.f64 (pow.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)) 2) (.f64 (cos.f64 x) (.f64 (sin.f64 x) (sin.f64 eps)))))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))) (cbrt.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))) (*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))) (cbrt.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))) 2))))
(.f64 (.f64 (cbrt.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))) (sqrt.f64 (cbrt.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))))) (*.f64 (cbrt.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))) (sqrt.f64 (cbrt.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))))))
(.f64 (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))) 2)) (cbrt.f64 (sqrt.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))) 2)) (cbrt.f64 (sqrt.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))))))
(.f64 (+.f64 (sqrt.f64 (.f64 (sin.f64 x) (sin.f64 eps))) (sqrt.f64 (cos.f64 x))) (-.f64 (sqrt.f64 (*.f64 (sin.f64 x) (sin.f64 eps))) (sqrt.f64 (cos.f64 x))))
(.f64 (+.f64 (.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 (sin.f64 eps))) (sqrt.f64 (cos.f64 x))) (-.f64 (*.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 (sin.f64 eps))) (sqrt.f64 (cos.f64 x))))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))) 3/2) (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))) 3/2))
(*.f64 (pow.f64 (pow.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)) 3) 1/6) (pow.f64 (pow.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)) 3) 1/6))
(/.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)) 1)
(/.f64 1 (/.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)) (pow.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)) 2)))
(/.f64 1 (/.f64 (-.f64 (pow.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)) 2) (.f64 (cos.f64 x) (.f64 (sin.f64 x) (sin.f64 eps)))) (+.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) 3))))
(/.f64 (pow.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)) 2) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))
(/.f64 (+.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (.f64 (sin.f64 x) (sin.f64 eps)) 3)) (-.f64 (pow.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)) 2) (.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps)))))
(/.f64 (.f64 1 (+.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (.f64 (sin.f64 x) (sin.f64 eps)) 3))) (-.f64 (pow.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)) 2) (.f64 (cos.f64 x) (.f64 (sin.f64 x) (sin.f64 eps)))))
(/.f64 (.f64 (+.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (.f64 (sin.f64 x) (sin.f64 eps)) 3)) 1) (-.f64 (pow.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)) 2) (.f64 (cos.f64 x) (.f64 (sin.f64 x) (sin.f64 eps)))))
(/.f64 (/.f64 (pow.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)) 2) 1) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))
(/.f64 (/.f64 (pow.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)) 2) (sqrt.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))) (sqrt.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))))
(/.f64 (/.f64 (pow.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)) 2) (cbrt.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))) (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))) 2))
(/.f64 (/.f64 (pow.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)) 2) (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))) 2)) (cbrt.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))))
(/.f64 (-.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) 2)) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))) (exp.f64 (log1p.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))))) 1) (+.f64 (exp.f64 (log1p.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))) 1))
(pow.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)) 1)
(pow.f64 (sqrt.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))) 2)
(pow.f64 (cbrt.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))) 3)
(pow.f64 (pow.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)) 3) 1/3)
(neg.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))
(sqrt.f64 (pow.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)) 2))
(log.f64 (exp.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))))
(cbrt.f64 (pow.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)) 3))
(expm1.f64 (log1p.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))))
(exp.f64 (log.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))))
(log1p.f64 (expm1.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))))
(+.f64 (sin.f64 eps) 0)
(+.f64 0 (sin.f64 eps))
(+.f64 (exp.f64 (log1p.f64 (sin.f64 eps))) -1)
(+.f64 (-.f64 0 (exp.f64 (log1p.f64 (sin.f64 eps)))) 1)
(-.f64 0 (sin.f64 eps))
(-.f64 (exp.f64 (log1p.f64 (sin.f64 eps))) 1)
(-.f64 (+.f64 0 (exp.f64 (log1p.f64 (sin.f64 eps)))) 1)
(*.f64 (sin.f64 eps) 1)
(*.f64 (sin.f64 eps) -1)
(*.f64 1 (sin.f64 eps))
(*.f64 (sqrt.f64 (sin.f64 eps)) (sqrt.f64 (sin.f64 eps)))
(*.f64 (cbrt.f64 (sin.f64 eps)) (pow.f64 (cbrt.f64 (sin.f64 eps)) 2))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 2) (cbrt.f64 (sin.f64 eps)))
(*.f64 (pow.f64 (sin.f64 eps) 3) (/.f64 1 (pow.f64 (sin.f64 eps) 2)))
(*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 1 (sin.f64 eps)))
(*.f64 -1 (sin.f64 eps))
(*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (sin.f64 eps) 2)) (sin.f64 eps))
(*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (sin.f64 eps) 3)) (pow.f64 (sin.f64 eps) 2))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (sin.f64 eps))) (cbrt.f64 (sin.f64 eps))) (*.f64 (sqrt.f64 (cbrt.f64 (sin.f64 eps))) (cbrt.f64 (sin.f64 eps))))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (sin.f64 eps))) (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (sin.f64 eps))) (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 2))))
(.f64 (.f64 (cbrt.f64 (sin.f64 eps)) (sqrt.f64 (cbrt.f64 (sin.f64 eps)))) (*.f64 (cbrt.f64 (sin.f64 eps)) (sqrt.f64 (cbrt.f64 (sin.f64 eps)))))
(.f64 (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 2)) (cbrt.f64 (sqrt.f64 (sin.f64 eps)))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 2)) (cbrt.f64 (sqrt.f64 (sin.f64 eps)))))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 3/2) (pow.f64 (cbrt.f64 (sin.f64 eps)) 3/2))
(*.f64 (pow.f64 (pow.f64 (sin.f64 eps) 3) 1/6) (pow.f64 (pow.f64 (sin.f64 eps) 3) 1/6))
(/.f64 (sin.f64 eps) 1)
(/.f64 (sin.f64 eps) -1)
(/.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (sin.f64 eps) 3)))
(/.f64 1 (/.f64 (sin.f64 eps) (pow.f64 (sin.f64 eps) 2)))
(/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (sin.f64 eps) 2))
(/.f64 (pow.f64 (sin.f64 eps) 2) (sin.f64 eps))
(/.f64 (*.f64 (pow.f64 (sin.f64 eps) 3) -1) (pow.f64 (sin.f64 eps) 2))
(/.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) 1) (sin.f64 eps))
(/.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (cbrt.f64 (sin.f64 eps))) (pow.f64 (cbrt.f64 (sin.f64 eps)) 2))
(/.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) -1) (sin.f64 eps))
(/.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (sqrt.f64 (sin.f64 eps))) (sqrt.f64 (sin.f64 eps)))
(/.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cbrt.f64 (sin.f64 eps)) 2)) (cbrt.f64 (sin.f64 eps)))
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (sin.f64 eps))) (exp.f64 (log1p.f64 (sin.f64 eps)))) 1) (+.f64 (exp.f64 (log1p.f64 (sin.f64 eps))) 1))
(pow.f64 (sin.f64 eps) 1)
(pow.f64 (sqrt.f64 (sin.f64 eps)) 2)
(pow.f64 (cbrt.f64 (sin.f64 eps)) 3)
(pow.f64 (pow.f64 (sin.f64 eps) 3) 1/3)
(neg.f64 (sin.f64 eps))
(sqrt.f64 (pow.f64 (sin.f64 eps) 2))
(log.f64 (exp.f64 (sin.f64 eps)))
(log.f64 (+.f64 1 (expm1.f64 (sin.f64 eps))))
(cbrt.f64 (pow.f64 (sin.f64 eps) 3))
(expm1.f64 (log1p.f64 (sin.f64 eps)))
(exp.f64 (log.f64 (sin.f64 eps)))
(log1p.f64 (expm1.f64 (sin.f64 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) (fma.f64 -1 (*.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 (cos.f64 eps) (+.f64 (fma.f64 (fma.f64 (cos.f64 eps) -1/2 1/2) (.f64 x x) (.f64 x (neg.f64 (sin.f64 eps)))) -1))
(+.f64 (cos.f64 eps) (+.f64 -1 (fma.f64 (fma.f64 (cos.f64 eps) -1/2 1/2) (.f64 x x) (.f64 x (neg.f64 (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 (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 (.f64 x (.f64 x (fma.f64 (cos.f64 eps) -1/2 1/2))) (.f64 (sin.f64 eps) (+.f64 (neg.f64 x) (.f64 1/6 (pow.f64 x 3))))) -1))
(+.f64 (cos.f64 eps) (+.f64 -1 (+.f64 (.f64 x (.f64 x (fma.f64 (cos.f64 eps) -1/2 1/2))) (.f64 (sin.f64 eps) (+.f64 (.f64 1/6 (pow.f64 x 3)) (neg.f64 x))))))
(-.f64 (+.f64 (.f64 -1 (.f64 (sin.f64 x) (sin.f64 eps))) (*.f64 (cos.f64 eps) (cos.f64 x))) (cos.f64 x))
(-.f64 (fma.f64 -1 (.f64 (sin.f64 eps) (sin.f64 x)) (.f64 (cos.f64 eps) (cos.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 -1 (.f64 (sin.f64 x) (sin.f64 eps))) (*.f64 (cos.f64 eps) (cos.f64 x))) (cos.f64 x))
(-.f64 (fma.f64 -1 (.f64 (sin.f64 eps) (sin.f64 x)) (.f64 (cos.f64 eps) (cos.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 -1 (.f64 (sin.f64 x) (sin.f64 eps))) (*.f64 (cos.f64 eps) (cos.f64 x))) (cos.f64 x))
(-.f64 (fma.f64 -1 (.f64 (sin.f64 eps) (sin.f64 x)) (.f64 (cos.f64 eps) (cos.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 -1 (.f64 (sin.f64 x) (sin.f64 eps))) (*.f64 (cos.f64 eps) (cos.f64 x))) (cos.f64 x))
(-.f64 (fma.f64 -1 (.f64 (sin.f64 eps) (sin.f64 x)) (.f64 (cos.f64 eps) (cos.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 -1 (.f64 (sin.f64 x) (sin.f64 eps))) (*.f64 (cos.f64 x) (cos.f64 eps))) (cos.f64 x))
(-.f64 (fma.f64 -1 (.f64 (sin.f64 eps) (sin.f64 x)) (.f64 (cos.f64 eps) (cos.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 -1 (.f64 (sin.f64 x) (sin.f64 eps))) (*.f64 (cos.f64 x) (cos.f64 eps))) (cos.f64 x))
(-.f64 (fma.f64 -1 (.f64 (sin.f64 eps) (sin.f64 x)) (.f64 (cos.f64 eps) (cos.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 -1 (.f64 (sin.f64 x) (sin.f64 eps))) (*.f64 (cos.f64 x) (cos.f64 eps))) (cos.f64 x))
(-.f64 (fma.f64 -1 (.f64 (sin.f64 eps) (sin.f64 x)) (.f64 (cos.f64 eps) (cos.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 -1 (.f64 (sin.f64 x) (sin.f64 eps))) (*.f64 (cos.f64 x) (cos.f64 eps))) (cos.f64 x))
(-.f64 (fma.f64 -1 (.f64 (sin.f64 eps) (sin.f64 x)) (.f64 (cos.f64 eps) (cos.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 -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 (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 1/6 (.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 (cos.f64 x) (.f64 -1/2 (.f64 eps eps))) (.f64 (sin.f64 x) (+.f64 (*.f64 1/6 (pow.f64 eps 3)) (neg.f64 eps))))
(+.f64 (.f64 (cos.f64 x) (.f64 -1/2 (.f64 eps eps))) (.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 (.f64 (cos.f64 x) (.f64 -1/2 (.f64 eps eps))) (.f64 (sin.f64 x) (+.f64 (.f64 1/6 (pow.f64 eps 3)) (neg.f64 eps)))))
(fma.f64 1/24 (.f64 (cos.f64 x) (pow.f64 eps 4)) (+.f64 (.f64 (cos.f64 x) (.f64 -1/2 (.f64 eps eps))) (.f64 (sin.f64 x) (+.f64 (neg.f64 eps) (.f64 1/6 (pow.f64 eps 3))))))
(-.f64 (+.f64 (.f64 -1 (.f64 (sin.f64 x) (sin.f64 eps))) (*.f64 (cos.f64 x) (cos.f64 eps))) (cos.f64 x))
(-.f64 (fma.f64 -1 (.f64 (sin.f64 eps) (sin.f64 x)) (.f64 (cos.f64 eps) (cos.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 -1 (.f64 (sin.f64 x) (sin.f64 eps))) (*.f64 (cos.f64 x) (cos.f64 eps))) (cos.f64 x))
(-.f64 (fma.f64 -1 (.f64 (sin.f64 eps) (sin.f64 x)) (.f64 (cos.f64 eps) (cos.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 -1 (.f64 (sin.f64 x) (sin.f64 eps))) (*.f64 (cos.f64 x) (cos.f64 eps))) (cos.f64 x))
(-.f64 (fma.f64 -1 (.f64 (sin.f64 eps) (sin.f64 x)) (.f64 (cos.f64 eps) (cos.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 -1 (.f64 (sin.f64 x) (sin.f64 eps))) (*.f64 (cos.f64 x) (cos.f64 eps))) (cos.f64 x))
(-.f64 (fma.f64 -1 (.f64 (sin.f64 eps) (sin.f64 x)) (.f64 (cos.f64 eps) (cos.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 -1 (.f64 (sin.f64 x) (sin.f64 eps))) (*.f64 (cos.f64 x) (cos.f64 eps))) (cos.f64 x))
(-.f64 (fma.f64 -1 (.f64 (sin.f64 eps) (sin.f64 x)) (.f64 (cos.f64 eps) (cos.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 -1 (.f64 (sin.f64 x) (sin.f64 eps))) (*.f64 (cos.f64 x) (cos.f64 eps))) (cos.f64 x))
(-.f64 (fma.f64 -1 (.f64 (sin.f64 eps) (sin.f64 x)) (.f64 (cos.f64 eps) (cos.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 -1 (.f64 (sin.f64 x) (sin.f64 eps))) (*.f64 (cos.f64 x) (cos.f64 eps))) (cos.f64 x))
(-.f64 (fma.f64 -1 (.f64 (sin.f64 eps) (sin.f64 x)) (.f64 (cos.f64 eps) (cos.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 -1 (.f64 (sin.f64 x) (sin.f64 eps))) (*.f64 (cos.f64 x) (cos.f64 eps))) (cos.f64 x))
(-.f64 (fma.f64 -1 (.f64 (sin.f64 eps) (sin.f64 x)) (.f64 (cos.f64 eps) (cos.f64 x))) (cos.f64 x))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))
-1
(-.f64 (.f64 -1 (.f64 x (sin.f64 eps))) 1)
(fma.f64 -1 (*.f64 x (sin.f64 eps)) -1)
(fma.f64 (neg.f64 x) (sin.f64 eps) -1)
(-.f64 (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1 (*.f64 x (sin.f64 eps)))) 1)
(+.f64 (fma.f64 1/2 (.f64 x x) (neg.f64 (.f64 x (sin.f64 eps)))) -1)
(fma.f64 1/2 (*.f64 x x) (fma.f64 (neg.f64 x) (sin.f64 eps) -1))
(-.f64 (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 1/6 (.f64 (pow.f64 x 3) (sin.f64 eps))) (.f64 -1 (*.f64 x (sin.f64 eps))))) 1)
(+.f64 (fma.f64 1/2 (.f64 x x) (fma.f64 1/6 (.f64 (sin.f64 eps) (pow.f64 x 3)) (neg.f64 (*.f64 x (sin.f64 eps))))) -1)
(+.f64 -1 (fma.f64 1/2 (.f64 x x) (.f64 (sin.f64 eps) (+.f64 (neg.f64 x) (*.f64 1/6 (pow.f64 x 3))))))
(+.f64 -1 (fma.f64 1/2 (.f64 x x) (.f64 (sin.f64 eps) (+.f64 (*.f64 1/6 (pow.f64 x 3)) (neg.f64 x)))))
(-.f64 (.f64 -1 (.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))
(-.f64 (neg.f64 (*.f64 (sin.f64 eps) (sin.f64 x))) (cos.f64 x))
(neg.f64 (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))
(-.f64 (.f64 -1 (.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))
(-.f64 (neg.f64 (*.f64 (sin.f64 eps) (sin.f64 x))) (cos.f64 x))
(neg.f64 (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))
(-.f64 (.f64 -1 (.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))
(-.f64 (neg.f64 (*.f64 (sin.f64 eps) (sin.f64 x))) (cos.f64 x))
(neg.f64 (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))
(-.f64 (.f64 -1 (.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))
(-.f64 (neg.f64 (*.f64 (sin.f64 eps) (sin.f64 x))) (cos.f64 x))
(neg.f64 (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))
(-.f64 (.f64 -1 (.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))
(-.f64 (neg.f64 (*.f64 (sin.f64 eps) (sin.f64 x))) (cos.f64 x))
(neg.f64 (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))
(-.f64 (.f64 -1 (.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))
(-.f64 (neg.f64 (*.f64 (sin.f64 eps) (sin.f64 x))) (cos.f64 x))
(neg.f64 (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))
(-.f64 (.f64 -1 (.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))
(-.f64 (neg.f64 (*.f64 (sin.f64 eps) (sin.f64 x))) (cos.f64 x))
(neg.f64 (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))
(-.f64 (.f64 -1 (.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))
(-.f64 (neg.f64 (*.f64 (sin.f64 eps) (sin.f64 x))) (cos.f64 x))
(neg.f64 (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))
(*.f64 -1 (cos.f64 x))
(neg.f64 (cos.f64 x))
(+.f64 (.f64 -1 (.f64 eps (sin.f64 x))) (*.f64 -1 (cos.f64 x)))
(.f64 -1 (+.f64 (.f64 eps (sin.f64 x)) (cos.f64 x)))
(neg.f64 (fma.f64 eps (sin.f64 x) (cos.f64 x)))
(+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) (sin.f64 x))) (+.f64 (.f64 -1 (.f64 eps (sin.f64 x))) (*.f64 -1 (cos.f64 x))))
(fma.f64 1/6 (.f64 (sin.f64 x) (pow.f64 eps 3)) (.f64 -1 (+.f64 (*.f64 eps (sin.f64 x)) (cos.f64 x))))
(-.f64 (.f64 (sin.f64 x) (+.f64 (.f64 1/6 (pow.f64 eps 3)) (neg.f64 eps))) (cos.f64 x))
(-.f64 (.f64 (sin.f64 x) (+.f64 (neg.f64 eps) (.f64 1/6 (pow.f64 eps 3)))) (cos.f64 x))
(+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) (sin.f64 x))) (+.f64 (.f64 -1/120 (.f64 (pow.f64 eps 5) (sin.f64 x))) (+.f64 (.f64 -1 (.f64 eps (sin.f64 x))) (*.f64 -1 (cos.f64 x)))))
(fma.f64 1/6 (.f64 (sin.f64 x) (pow.f64 eps 3)) (fma.f64 -1/120 (.f64 (sin.f64 x) (pow.f64 eps 5)) (.f64 -1 (+.f64 (.f64 eps (sin.f64 x)) (cos.f64 x)))))
(+.f64 (neg.f64 (fma.f64 eps (sin.f64 x) (cos.f64 x))) (.f64 (sin.f64 x) (+.f64 (.f64 1/6 (pow.f64 eps 3)) (*.f64 -1/120 (pow.f64 eps 5)))))
(-.f64 (.f64 -1 (.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))
(-.f64 (neg.f64 (*.f64 (sin.f64 eps) (sin.f64 x))) (cos.f64 x))
(neg.f64 (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))
(-.f64 (.f64 -1 (.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))
(-.f64 (neg.f64 (*.f64 (sin.f64 eps) (sin.f64 x))) (cos.f64 x))
(neg.f64 (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))
(-.f64 (.f64 -1 (.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))
(-.f64 (neg.f64 (*.f64 (sin.f64 eps) (sin.f64 x))) (cos.f64 x))
(neg.f64 (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))
(-.f64 (.f64 -1 (.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))
(-.f64 (neg.f64 (*.f64 (sin.f64 eps) (sin.f64 x))) (cos.f64 x))
(neg.f64 (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))
(-.f64 (.f64 -1 (.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))
(-.f64 (neg.f64 (*.f64 (sin.f64 eps) (sin.f64 x))) (cos.f64 x))
(neg.f64 (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))
(-.f64 (.f64 -1 (.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))
(-.f64 (neg.f64 (*.f64 (sin.f64 eps) (sin.f64 x))) (cos.f64 x))
(neg.f64 (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))
(-.f64 (.f64 -1 (.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))
(-.f64 (neg.f64 (*.f64 (sin.f64 eps) (sin.f64 x))) (cos.f64 x))
(neg.f64 (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))
(-.f64 (.f64 -1 (.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))
(-.f64 (neg.f64 (*.f64 (sin.f64 eps) (sin.f64 x))) (cos.f64 x))
(neg.f64 (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))
eps
(+.f64 eps (*.f64 -1/6 (pow.f64 eps 3)))
(+.f64 eps (*.f64 (pow.f64 eps 3) -1/6))
(fma.f64 (pow.f64 eps 3) -1/6 eps)
(+.f64 eps (+.f64 (.f64 -1/6 (pow.f64 eps 3)) (.f64 1/120 (pow.f64 eps 5))))
(+.f64 eps (fma.f64 -1/6 (pow.f64 eps 3) (*.f64 (pow.f64 eps 5) 1/120)))
(+.f64 eps (fma.f64 (pow.f64 eps 5) 1/120 (*.f64 (pow.f64 eps 3) -1/6)))
(+.f64 eps (+.f64 (.f64 -1/6 (pow.f64 eps 3)) (+.f64 (.f64 1/120 (pow.f64 eps 5)) (*.f64 -1/5040 (pow.f64 eps 7)))))
(+.f64 eps (fma.f64 -1/6 (pow.f64 eps 3) (fma.f64 1/120 (pow.f64 eps 5) (*.f64 -1/5040 (pow.f64 eps 7)))))
(+.f64 (fma.f64 (pow.f64 eps 3) -1/6 eps) (fma.f64 (pow.f64 eps 5) 1/120 (*.f64 -1/5040 (pow.f64 eps 7))))
(+.f64 (cos.f64 x) (+.f64 (.f64 (sin.f64 x) (sin.f64 eps)) (.f64 (cos.f64 x) (cos.f64 eps))))
(fma.f64 (cos.f64 x) (cos.f64 eps) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))
(fma.f64 (cos.f64 eps) (cos.f64 x) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))
(+.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)) (*.f64 (cos.f64 x) (cos.f64 eps)))
(fma.f64 (cos.f64 x) (cos.f64 eps) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))
(fma.f64 (cos.f64 eps) (cos.f64 x) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))
(+.f64 (.f64 (sin.f64 x) (sin.f64 eps)) (+.f64 (cos.f64 x) (.f64 (cos.f64 x) (cos.f64 eps))))
(fma.f64 (cos.f64 x) (cos.f64 eps) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))
(fma.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 x) (sin.f64 eps) (cos.f64 x)))
(fma.f64 (cos.f64 x) (cos.f64 eps) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))
(fma.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 -1 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))))
(-.f64 (fma.f64 -1 (.f64 (sin.f64 eps) (sin.f64 x)) (.f64 (cos.f64 eps) (cos.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 (cos.f64 x) (cos.f64 eps)) (.f64 (neg.f64 (sqrt.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))) (sqrt.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))))
(-.f64 (fma.f64 -1 (.f64 (sin.f64 eps) (sin.f64 x)) (.f64 (cos.f64 eps) (cos.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 (cos.f64 x) (cos.f64 eps)) (.f64 (neg.f64 (cbrt.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))) (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))) 2)))
(-.f64 (fma.f64 -1 (.f64 (sin.f64 eps) (sin.f64 x)) (.f64 (cos.f64 eps) (cos.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 (cos.f64 x) (cos.f64 eps)) (.f64 (neg.f64 (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))) 2)) (cbrt.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))))
(-.f64 (fma.f64 -1 (.f64 (sin.f64 eps) (sin.f64 x)) (.f64 (cos.f64 eps) (cos.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 (cos.f64 x) (cos.f64 eps) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))))) -1)
(fma.f64 (cos.f64 x) (cos.f64 eps) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))
(fma.f64 (cos.f64 eps) (cos.f64 x) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))
(+.f64 (+.f64 (.f64 (sin.f64 x) (sin.f64 eps)) (.f64 (cos.f64 x) (cos.f64 eps))) (cos.f64 x))
(fma.f64 (cos.f64 x) (cos.f64 eps) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))
(fma.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 x) (sin.f64 eps)))
(fma.f64 (cos.f64 x) (cos.f64 eps) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))
(fma.f64 (cos.f64 eps) (cos.f64 x) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))
(+.f64 (+.f64 (+.f64 (.f64 (sin.f64 x) (sin.f64 eps)) (.f64 (cos.f64 x) (cos.f64 eps))) 0) (cos.f64 x))
(fma.f64 (cos.f64 x) (cos.f64 eps) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))
(fma.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 x) (sin.f64 eps) (cos.f64 x))))) 1)
(-.f64 (fma.f64 -1 (.f64 (sin.f64 eps) (sin.f64 x)) (.f64 (cos.f64 eps) (cos.f64 x))) (cos.f64 x))
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(.f64 (.f64 (sqrt.f64 (cbrt.f64 (sin.f64 eps))) (cbrt.f64 (sin.f64 eps))) (*.f64 (sqrt.f64 (cbrt.f64 (sin.f64 eps))) (cbrt.f64 (sin.f64 eps))))
(sin.f64 eps)
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (sin.f64 eps))) (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (sin.f64 eps))) (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 2))))
(.f64 (cbrt.f64 (sqrt.f64 (sin.f64 eps))) (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 2)) (*.f64 (cbrt.f64 (sqrt.f64 (sin.f64 eps))) (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 2)))))
(.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 2) (.f64 (cbrt.f64 (sqrt.f64 (sin.f64 eps))) (cbrt.f64 (sqrt.f64 (sin.f64 eps)))))
(.f64 (.f64 (cbrt.f64 (sin.f64 eps)) (sqrt.f64 (cbrt.f64 (sin.f64 eps)))) (*.f64 (cbrt.f64 (sin.f64 eps)) (sqrt.f64 (cbrt.f64 (sin.f64 eps)))))
(sin.f64 eps)
(.f64 (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 2)) (cbrt.f64 (sqrt.f64 (sin.f64 eps)))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 2)) (cbrt.f64 (sqrt.f64 (sin.f64 eps)))))
(.f64 (cbrt.f64 (sqrt.f64 (sin.f64 eps))) (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 2)) (*.f64 (cbrt.f64 (sqrt.f64 (sin.f64 eps))) (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 2)))))
(.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 2) (.f64 (cbrt.f64 (sqrt.f64 (sin.f64 eps))) (cbrt.f64 (sqrt.f64 (sin.f64 eps)))))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 3/2) (pow.f64 (cbrt.f64 (sin.f64 eps)) 3/2))
(sin.f64 eps)
(*.f64 (pow.f64 (pow.f64 (sin.f64 eps) 3) 1/6) (pow.f64 (pow.f64 (sin.f64 eps) 3) 1/6))
(sin.f64 eps)
(/.f64 (sin.f64 eps) 1)
(sin.f64 eps)
(/.f64 (sin.f64 eps) -1)
(neg.f64 (sin.f64 eps))
(/.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (sin.f64 eps) 3)))
(sin.f64 eps)
(/.f64 1 (/.f64 (sin.f64 eps) (pow.f64 (sin.f64 eps) 2)))
(*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 1 (sin.f64 eps)))
(/.f64 (pow.f64 (sin.f64 eps) 2) (sin.f64 eps))
(/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (sin.f64 eps) 2))
(sin.f64 eps)
(/.f64 (pow.f64 (sin.f64 eps) 2) (sin.f64 eps))
(*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 1 (sin.f64 eps)))
(/.f64 (*.f64 (pow.f64 (sin.f64 eps) 3) -1) (pow.f64 (sin.f64 eps) 2))
(neg.f64 (sin.f64 eps))
(/.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) 1) (sin.f64 eps))
(*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 1 (sin.f64 eps)))
(/.f64 (pow.f64 (sin.f64 eps) 2) (sin.f64 eps))
(/.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (cbrt.f64 (sin.f64 eps))) (pow.f64 (cbrt.f64 (sin.f64 eps)) 2))
(*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 1 (sin.f64 eps)))
(/.f64 (pow.f64 (sin.f64 eps) 2) (sin.f64 eps))
(/.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) -1) (sin.f64 eps))
(/.f64 (pow.f64 (sin.f64 eps) 2) (neg.f64 (sin.f64 eps)))
(/.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (sqrt.f64 (sin.f64 eps))) (sqrt.f64 (sin.f64 eps)))
(*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 1 (sin.f64 eps)))
(/.f64 (pow.f64 (sin.f64 eps) 2) (sin.f64 eps))
(/.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cbrt.f64 (sin.f64 eps)) 2)) (cbrt.f64 (sin.f64 eps)))
(*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 1 (sin.f64 eps)))
(/.f64 (pow.f64 (sin.f64 eps) 2) (sin.f64 eps))
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (sin.f64 eps))) (exp.f64 (log1p.f64 (sin.f64 eps)))) 1) (+.f64 (exp.f64 (log1p.f64 (sin.f64 eps))) 1))
(/.f64 (*.f64 (+.f64 1 (exp.f64 (log1p.f64 (sin.f64 eps)))) (sin.f64 eps)) (+.f64 1 (exp.f64 (log1p.f64 (sin.f64 eps)))))
(/.f64 (expm1.f64 (*.f64 2 (log1p.f64 (sin.f64 eps)))) (+.f64 1 (exp.f64 (log1p.f64 (sin.f64 eps)))))
(pow.f64 (sin.f64 eps) 1)
(sin.f64 eps)
(pow.f64 (sqrt.f64 (sin.f64 eps)) 2)
(sin.f64 eps)
(pow.f64 (cbrt.f64 (sin.f64 eps)) 3)
(sin.f64 eps)
(pow.f64 (pow.f64 (sin.f64 eps) 3) 1/3)
(sin.f64 eps)
(neg.f64 (sin.f64 eps))
(sqrt.f64 (pow.f64 (sin.f64 eps) 2))
(fabs.f64 (sin.f64 eps))
(log.f64 (exp.f64 (sin.f64 eps)))
(sin.f64 eps)
(log.f64 (+.f64 1 (expm1.f64 (sin.f64 eps))))
(sin.f64 eps)
(cbrt.f64 (pow.f64 (sin.f64 eps) 3))
(sin.f64 eps)
(expm1.f64 (log1p.f64 (sin.f64 eps)))
(sin.f64 eps)
(exp.f64 (log.f64 (sin.f64 eps)))
(sin.f64 eps)
(log1p.f64 (expm1.f64 (sin.f64 eps)))
(sin.f64 eps)

eval990.0ms (5.2%)

Compiler: Compiled 48983 to 19841 computations (59.5% saved)

prune766.0ms (4%)

Pruning

70 alts after pruning (66 fresh and 4 done)

	Pruned	Kept	Total
New	1837	38	1875
Fresh	20	28	48
Picked	1	0	1
Done	2	4	6
Total	1860	70	1930

Error

0.0b

Counts

1930 → 70

Alt Table

Click to see full alt table

Status	Error	Program
	6.6b	(fma.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x) (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))))
	6.7b	(fma.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)) (fma.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x) (fma.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x) (*.f64 (sin.f64 eps) (sin.f64 x)))))
	24.7b	(fma.f64 (cos.f64 x) (log.f64 (exp.f64 (cos.f64 eps))) (fma.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)) (neg.f64 (cos.f64 x))))
	24.6b	(fma.f64 (cos.f64 x) (cos.f64 eps) (fma.f64 (sin.f64 x) (neg.f64 (log1p.f64 (expm1.f64 (sin.f64 eps)))) (neg.f64 (cos.f64 x))))
	24.6b	(fma.f64 (cos.f64 x) (cos.f64 eps) (-.f64 (neg.f64 (*.f64 (sin.f64 eps) (sin.f64 x))) (cos.f64 x)))
	37.6b	(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (cos.f64 x)))
	38.4b	(fma.f64 (cos.f64 x) (cos.f64 eps) -1)
	49.4b	(fma.f64 1/24 (pow.f64 eps 4) (.f64 (.f64 eps eps) -1/2))
	38.6b	(pow.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 3)
	61.7b	(pow.f64 (cbrt.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))) 3)
	38.4b	(pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 3)
	50.5b	(/.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1) 2)
	38.3b	(/.f64 (+.f64 (+.f64 (.f64 1/2 (cos.f64 (.f64 eps 2))) 1/2) -1) (-.f64 (cos.f64 eps) -1))
	38.4b	(/.f64 (+.f64 (cbrt.f64 (pow.f64 (cos.f64 eps) 6)) -1) (-.f64 (cos.f64 eps) -1))
	32.7b	(/.f64 (*.f64 (sin.f64 eps) (sin.f64 eps)) (-.f64 -1 (cos.f64 eps)))
	14.1b	(/.f64 1 (/.f64 (/.f64 -1/2 (sin.f64 (.f64 1/2 (fma.f64 2 x eps)))) (sin.f64 (.f64 1/2 (+.f64 eps (-.f64 x x))))))
▶	24.6b	(/.f64 1 (/.f64 1 (-.f64 (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))))
	38.3b	(/.f64 1 (/.f64 1 (-.f64 (cos.f64 eps) (cos.f64 x))))
	38.2b	(/.f64 1 (/.f64 1 (-.f64 (cos.f64 eps) 1)))
	32.7b	(/.f64 1 (/.f64 -1/2 (.f64 (sin.f64 (.f64 1/2 (+.f64 x (-.f64 eps x)))) (sin.f64 (*.f64 1/2 (+.f64 eps (+.f64 x x)))))))
	36.1b	(/.f64 1 (/.f64 -1 (*.f64 eps (sin.f64 x))))
	24.6b	(-.f64 (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))
	6.6b	(-.f64 (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (cos.f64 x)) (.f64 (sin.f64 x) (sin.f64 eps)))
	38.2b	(-.f64 (+.f64 (cos.f64 eps) 1) 2)
	36.2b	(-.f64 (+.f64 (cos.f64 eps) -1) (*.f64 x (sin.f64 eps)))
▶	0.6b	(-.f64 (.f64 (/.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))) (pow.f64 (sin.f64 eps) 2)) (.f64 (sin.f64 x) (sin.f64 eps)))
	29.9b	(-.f64 (.f64 (cos.f64 x) (fma.f64 1/24 (pow.f64 eps 4) (.f64 -1/2 (.f64 eps eps)))) (.f64 (sin.f64 x) (sin.f64 eps)))
	6.6b	(-.f64 (.f64 (cos.f64 x) (-.f64 (+.f64 (cos.f64 eps) 1) 2)) (.f64 (sin.f64 x) (sin.f64 eps)))
	7.1b	(-.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (pow.f64 (cbrt.f64 (.f64 (sin.f64 x) (sin.f64 eps))) 3))
	24.6b	(-.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (-.f64 (exp.f64 (log1p.f64 (.f64 (sin.f64 x) (sin.f64 eps)))) 1))
✓	6.6b	(-.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 (sin.f64 x) (sin.f64 eps)))
	24.7b	(-.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 (sin.f64 x) (log.f64 (exp.f64 (sin.f64 eps)))))
	36.1b	(-.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 (sin.f64 eps) x))
	29.3b	(-.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 eps (sin.f64 x)))
	24.7b	(-.f64 (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (log.f64 (pow.f64 (exp.f64 (sin.f64 eps)) (sin.f64 x))))
	32.6b	(-.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (exp.f64 (log.f64 (.f64 (sin.f64 x) (sin.f64 eps)))))
	21.1b	(-.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (cbrt.f64 (pow.f64 (.f64 (sin.f64 x) (sin.f64 eps)) 3)))
▶	29.9b	(-.f64 (.f64 (cos.f64 x) (.f64 -1/2 (.f64 eps eps))) (.f64 (sin.f64 x) (sin.f64 eps)))
	24.6b	(-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (.f64 (sin.f64 x) (sin.f64 eps))))
▶	30.0b	(-.f64 (.f64 -1/2 (.f64 (.f64 (cos.f64 x) eps) eps)) (.f64 eps (sin.f64 x)))
	6.7b	(-.f64 (log1p.f64 (expm1.f64 (.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)))) (.f64 (sin.f64 x) (sin.f64 eps)))
	6.8b	(-.f64 (log.f64 (+.f64 1 (expm1.f64 (.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x))))) (.f64 (sin.f64 x) (sin.f64 eps)))
	44.5b	(-.f64 (fabs.f64 (cos.f64 (+.f64 eps x))) 1)
	54.0b	(-.f64 (fabs.f64 (cos.f64 x)) (cos.f64 x))
	44.3b	(-.f64 (fabs.f64 (cos.f64 eps)) (cos.f64 x))
	17.1b	(-.f64 (expm1.f64 (log1p.f64 (.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)))) (.f64 (sin.f64 x) (sin.f64 eps)))
	61.7b	(-.f64 (exp.f64 (log1p.f64 (cos.f64 x))) (-.f64 1 (cos.f64 (+.f64 x eps))))
✓	38.3b	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
	54.8b	(-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))
	38.3b	(-.f64 (cos.f64 eps) (cos.f64 x))
✓	38.2b	(-.f64 (cos.f64 eps) 1)
	38.4b	(-.f64 (cbrt.f64 (pow.f64 (cos.f64 eps) 3)) 1)
✓	54.7b	(-.f64 1 1)
	40.4b	(+.f64 (-.f64 (.f64 (cos.f64 eps) (+.f64 (.f64 -1/2 (.f64 x x)) 1)) (.f64 x (sin.f64 eps))) (neg.f64 (cos.f64 x)))
	19.0b	(+.f64 (-.f64 (cos.f64 eps) 1) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	19.5b	(+.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))))
	6.7b	(+.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)))))
	30.1b	(+.f64 (.f64 (cos.f64 x) (.f64 -1/2 (.f64 eps eps))) (.f64 (sin.f64 x) (+.f64 (*.f64 1/6 (pow.f64 eps 3)) (neg.f64 eps))))
	61.7b	(+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))
	38.6b	(+.f64 -1 (cos.f64 (+.f64 x eps)))
	57.9b	(.f64 (.f64 x x) (*.f64 -1/2 (cos.f64 eps)))
▶	49.1b	(.f64 (.f64 eps eps) -1/2)
	32.4b	(.f64 (.f64 -2 (sin.f64 (.f64 (+.f64 x (-.f64 eps x)) 1/2))) (sin.f64 (.f64 (+.f64 eps (+.f64 x x)) 1/2)))
	36.0b	(*.f64 (neg.f64 eps) (sin.f64 x))
	13.6b	(.f64 -2 (.f64 (sin.f64 (/.f64 (+.f64 eps (-.f64 x x)) 2)) (sin.f64 (/.f64 (+.f64 eps (+.f64 x x)) 2))))
	54.0b	(sqrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2))
	58.1b	(neg.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))))
	38.4b	(log.f64 (exp.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
	38.2b	(log.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)))
	61.7b	(cbrt.f64 (pow.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))) 3))

Compiler

Compiled 1935 to 1413 computations (27% saved)

localize24.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(*.f64 (sin.f64 x) (sin.f64 eps))
✓	0.2b	(pow.f64 (sin.f64 eps) 2)
✓	0.3b	(*.f64 (/.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))) (pow.f64 (sin.f64 eps) 2))
✓	0.3b	(-.f64 -1 (cos.f64 eps))

Compiler

Compiled 64 to 29 computations (54.7% saved)

series7.0ms (0%)

Counts

3 → 40

Calls

12 calls:

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

rewrite98.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1624×	`associate-*r/`
1332×	`associate-*l/`
1092×	`associate-/r*`
890×	`associate-/l*`
298×	`add-sqr-sqrt`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	14	59
1	295	49
2	3688	43

Stop Event

1×	node limit

Counts

3 → 259

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (neg.f64 (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (*.f64 (neg.f64 (cos.f64 eps)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (cos.f64 eps)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (neg.f64 (cos.f64 eps)) 1) -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 -1 (cos.f64 eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 1 (+.f64 -1 (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 -1 (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 -1 (cos.f64 eps))) (sqrt.f64 (-.f64 -1 (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 -1 (cos.f64 eps))) (pow.f64 (cbrt.f64 (-.f64 -1 (cos.f64 eps))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 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simplify159.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

888×	`associate-/r*`
848×	`associate-r`
800×	`associate-l`
774×	`associate-/l/`
698×	`+-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	719	12681
1	1869	11807
2	7808	11807

Stop Event

1×	node limit

Counts

299 → 396

Calls

Call 1

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

Outputs
-2
(-.f64 (*.f64 1/2 (pow.f64 eps 2)) 2)
(fma.f64 1/2 (*.f64 eps eps) -2)
(-.f64 (+.f64 (.f64 1/2 (pow.f64 eps 2)) (.f64 -1/24 (pow.f64 eps 4))) 2)
(+.f64 (fma.f64 1/2 (.f64 eps eps) (.f64 -1/24 (pow.f64 eps 4))) -2)
(fma.f64 1/2 (*.f64 eps eps) (fma.f64 -1/24 (pow.f64 eps 4) -2))
(-.f64 (+.f64 (.f64 1/2 (pow.f64 eps 2)) (+.f64 (.f64 -1/24 (pow.f64 eps 4)) (*.f64 1/720 (pow.f64 eps 6)))) 2)
(+.f64 (fma.f64 1/2 (.f64 eps eps) (fma.f64 -1/24 (pow.f64 eps 4) (.f64 1/720 (pow.f64 eps 6)))) -2)
(+.f64 (fma.f64 -1/24 (pow.f64 eps 4) (.f64 1/720 (pow.f64 eps 6))) (fma.f64 1/2 (.f64 eps eps) -2))
(+.f64 (fma.f64 1/2 (.f64 eps eps) -2) (fma.f64 -1/24 (pow.f64 eps 4) (.f64 1/720 (pow.f64 eps 6))))
(*.f64 -1 (+.f64 (cos.f64 eps) 1))
(-.f64 -1 (cos.f64 eps))
(*.f64 -1 (+.f64 (cos.f64 eps) 1))
(-.f64 -1 (cos.f64 eps))
(*.f64 -1 (+.f64 (cos.f64 eps) 1))
(-.f64 -1 (cos.f64 eps))
(*.f64 -1 (+.f64 (cos.f64 eps) 1))
(-.f64 -1 (cos.f64 eps))
(*.f64 -1 (+.f64 (cos.f64 eps) 1))
(-.f64 -1 (cos.f64 eps))
(*.f64 -1 (+.f64 (cos.f64 eps) 1))
(-.f64 -1 (cos.f64 eps))
(*.f64 -1 (+.f64 (cos.f64 eps) 1))
(-.f64 -1 (cos.f64 eps))
(*.f64 -1 (+.f64 (cos.f64 eps) 1))
(-.f64 -1 (cos.f64 eps))
(*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (+.f64 (cos.f64 eps) 1)))
(/.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)) (+.f64 (cos.f64 eps) 1))
(+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 x 2)) (+.f64 (cos.f64 eps) 1))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (+.f64 (cos.f64 eps) 1))))
(fma.f64 1/2 (/.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (+.f64 (cos.f64 eps) 1) (*.f64 x x))) (/.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)) (+.f64 (cos.f64 eps) 1)))
(-.f64 (/.f64 (.f64 1/2 (.f64 (pow.f64 (sin.f64 eps) 2) (*.f64 x x))) (+.f64 (cos.f64 eps) 1)) (/.f64 (pow.f64 (sin.f64 eps) 2) (+.f64 (cos.f64 eps) 1)))
(+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 x 2)) (+.f64 (cos.f64 eps) 1))) (+.f64 (.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (+.f64 (cos.f64 eps) 1))) (.f64 -1/24 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 x 4)) (+.f64 (cos.f64 eps) 1)))))
(fma.f64 1/2 (/.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (+.f64 (cos.f64 eps) 1) (.f64 x x))) (fma.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (+.f64 (cos.f64 eps) 1)) (.f64 -1/24 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 x 4)) (+.f64 (cos.f64 eps) 1)))))
(fma.f64 1/2 (.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (+.f64 (cos.f64 eps) 1)) (.f64 x x)) (-.f64 (/.f64 (*.f64 -1/24 (pow.f64 (sin.f64 eps) 2)) (/.f64 (+.f64 (cos.f64 eps) 1) (pow.f64 x 4))) (/.f64 (pow.f64 (sin.f64 eps) 2) (+.f64 (cos.f64 eps) 1))))
(+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 x 2)) (+.f64 (cos.f64 eps) 1))) (+.f64 (.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (+.f64 (cos.f64 eps) 1))) (+.f64 (.f64 -1/24 (/.f64 (.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 x 4)) (+.f64 (cos.f64 eps) 1))) (.f64 1/720 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 x 6)) (+.f64 (cos.f64 eps) 1))))))
(fma.f64 1/2 (/.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (+.f64 (cos.f64 eps) 1) (.f64 x x))) (fma.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (+.f64 (cos.f64 eps) 1)) (fma.f64 -1/24 (/.f64 (.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 x 4)) (+.f64 (cos.f64 eps) 1)) (.f64 1/720 (/.f64 (.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 x 6)) (+.f64 (cos.f64 eps) 1))))))
(fma.f64 1/2 (.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (+.f64 (cos.f64 eps) 1)) (.f64 x x)) (-.f64 (fma.f64 -1/24 (.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (+.f64 (cos.f64 eps) 1)) (pow.f64 x 4)) (/.f64 (.f64 1/720 (*.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 x 6))) (+.f64 (cos.f64 eps) 1))) (/.f64 (pow.f64 (sin.f64 eps) 2) (+.f64 (cos.f64 eps) 1))))
(.f64 -1 (/.f64 (.f64 (cos.f64 x) (pow.f64 (sin.f64 eps) 2)) (+.f64 (cos.f64 eps) 1)))
(/.f64 (neg.f64 (cos.f64 x)) (/.f64 (+.f64 (cos.f64 eps) 1) (pow.f64 (sin.f64 eps) 2)))
(*.f64 (cos.f64 x) (/.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 -1 (cos.f64 eps))))
(.f64 -1 (/.f64 (.f64 (cos.f64 x) (pow.f64 (sin.f64 eps) 2)) (+.f64 (cos.f64 eps) 1)))
(/.f64 (neg.f64 (cos.f64 x)) (/.f64 (+.f64 (cos.f64 eps) 1) (pow.f64 (sin.f64 eps) 2)))
(*.f64 (cos.f64 x) (/.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 -1 (cos.f64 eps))))
(.f64 -1 (/.f64 (.f64 (cos.f64 x) (pow.f64 (sin.f64 eps) 2)) (+.f64 (cos.f64 eps) 1)))
(/.f64 (neg.f64 (cos.f64 x)) (/.f64 (+.f64 (cos.f64 eps) 1) (pow.f64 (sin.f64 eps) 2)))
(*.f64 (cos.f64 x) (/.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 -1 (cos.f64 eps))))
(.f64 -1 (/.f64 (.f64 (cos.f64 x) (pow.f64 (sin.f64 eps) 2)) (+.f64 (cos.f64 eps) 1)))
(/.f64 (neg.f64 (cos.f64 x)) (/.f64 (+.f64 (cos.f64 eps) 1) (pow.f64 (sin.f64 eps) 2)))
(*.f64 (cos.f64 x) (/.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 -1 (cos.f64 eps))))
(.f64 -1 (/.f64 (.f64 (cos.f64 x) (pow.f64 (sin.f64 eps) 2)) (+.f64 (cos.f64 eps) 1)))
(/.f64 (neg.f64 (cos.f64 x)) (/.f64 (+.f64 (cos.f64 eps) 1) (pow.f64 (sin.f64 eps) 2)))
(*.f64 (cos.f64 x) (/.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 -1 (cos.f64 eps))))
(.f64 -1 (/.f64 (.f64 (cos.f64 x) (pow.f64 (sin.f64 eps) 2)) (+.f64 (cos.f64 eps) 1)))
(/.f64 (neg.f64 (cos.f64 x)) (/.f64 (+.f64 (cos.f64 eps) 1) (pow.f64 (sin.f64 eps) 2)))
(*.f64 (cos.f64 x) (/.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 -1 (cos.f64 eps))))
(.f64 -1 (/.f64 (.f64 (cos.f64 x) (pow.f64 (sin.f64 eps) 2)) (+.f64 (cos.f64 eps) 1)))
(/.f64 (neg.f64 (cos.f64 x)) (/.f64 (+.f64 (cos.f64 eps) 1) (pow.f64 (sin.f64 eps) 2)))
(*.f64 (cos.f64 x) (/.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 -1 (cos.f64 eps))))
(.f64 -1 (/.f64 (.f64 (cos.f64 x) (pow.f64 (sin.f64 eps) 2)) (+.f64 (cos.f64 eps) 1)))
(/.f64 (neg.f64 (cos.f64 x)) (/.f64 (+.f64 (cos.f64 eps) 1) (pow.f64 (sin.f64 eps) 2)))
(*.f64 (cos.f64 x) (/.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 -1 (cos.f64 eps))))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(.f64 -1/2 (.f64 (*.f64 eps eps) (cos.f64 x)))
(.f64 (.f64 eps eps) (*.f64 (cos.f64 x) -1/2))
(+.f64 (.f64 -1 (.f64 (pow.f64 eps 4) (-.f64 (.f64 -1/6 (cos.f64 x)) (.f64 -1/8 (cos.f64 x))))) (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))))
(fma.f64 -1 (.f64 (pow.f64 eps 4) (.f64 (cos.f64 x) -1/24)) (.f64 -1/2 (.f64 (*.f64 eps eps) (cos.f64 x))))
(-.f64 (.f64 (.f64 eps eps) (.f64 (cos.f64 x) -1/2)) (.f64 (pow.f64 eps 4) (*.f64 -1/24 (cos.f64 x))))
(+.f64 (.f64 -1 (.f64 (pow.f64 eps 4) (-.f64 (.f64 -1/6 (cos.f64 x)) (.f64 -1/8 (cos.f64 x))))) (+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (.f64 -1 (.f64 (pow.f64 eps 6) (-.f64 (.f64 1/45 (cos.f64 x)) (+.f64 (.f64 1/96 (cos.f64 x)) (.f64 -1/4 (-.f64 (.f64 -1/6 (cos.f64 x)) (*.f64 -1/8 (cos.f64 x))))))))))
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(sqrt.f64 (pow.f64 (*.f64 (cos.f64 x) (+.f64 -1 (cos.f64 eps))) 2))
(fabs.f64 (*.f64 (cos.f64 x) (+.f64 -1 (cos.f64 eps))))
(log.f64 (exp.f64 (*.f64 (cos.f64 x) (+.f64 -1 (cos.f64 eps)))))
(*.f64 (cos.f64 x) (+.f64 -1 (cos.f64 eps)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (cos.f64 x) (+.f64 -1 (cos.f64 eps))))))
(*.f64 (cos.f64 x) (+.f64 -1 (cos.f64 eps)))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 x) (+.f64 -1 (cos.f64 eps))) 3))
(*.f64 (cos.f64 x) (+.f64 -1 (cos.f64 eps)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))) 3) (pow.f64 (pow.f64 (sin.f64 eps) 2) 3)))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 (sin.f64 eps) 2) 3) (pow.f64 (/.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))) 3) (pow.f64 (pow.f64 (sin.f64 eps) 2) 3)))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 x) (+.f64 -1 (cos.f64 eps)))))
(*.f64 (cos.f64 x) (+.f64 -1 (cos.f64 eps)))
(exp.f64 (log.f64 (*.f64 (cos.f64 x) (+.f64 -1 (cos.f64 eps)))))
(*.f64 (cos.f64 x) (+.f64 -1 (cos.f64 eps)))
(exp.f64 (.f64 (log.f64 (.f64 (cos.f64 x) (+.f64 -1 (cos.f64 eps)))) 1))
(*.f64 (cos.f64 x) (+.f64 -1 (cos.f64 eps)))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 x) (+.f64 -1 (cos.f64 eps)))))
(*.f64 (cos.f64 x) (+.f64 -1 (cos.f64 eps)))
(+.f64 1 (*.f64 (neg.f64 (cos.f64 eps)) (cos.f64 eps)))
(-.f64 1 (pow.f64 (cos.f64 eps) 2))
(pow.f64 (sin.f64 eps) 2)
(+.f64 1 (neg.f64 (pow.f64 (cos.f64 eps) 2)))
(-.f64 1 (pow.f64 (cos.f64 eps) 2))
(pow.f64 (sin.f64 eps) 2)
(+.f64 (*.f64 (neg.f64 (cos.f64 eps)) (cos.f64 eps)) 1)
(-.f64 1 (pow.f64 (cos.f64 eps) 2))
(pow.f64 (sin.f64 eps) 2)
(+.f64 (neg.f64 (pow.f64 (cos.f64 eps) 2)) 1)
(-.f64 1 (pow.f64 (cos.f64 eps) 2))
(pow.f64 (sin.f64 eps) 2)
(-.f64 1 (pow.f64 (cos.f64 eps) 2))
(pow.f64 (sin.f64 eps) 2)
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (sin.f64 eps) 2))) 1)
(-.f64 1 (pow.f64 (cos.f64 eps) 2))
(pow.f64 (sin.f64 eps) 2)
(-.f64 1/2 (.f64 1/2 (cos.f64 (.f64 2 eps))))
(-.f64 1/2 (*.f64 1/2 (cos.f64 (+.f64 eps eps))))
(*.f64 (sin.f64 eps) (sin.f64 eps))
(-.f64 1 (pow.f64 (cos.f64 eps) 2))
(pow.f64 (sin.f64 eps) 2)
(*.f64 (pow.f64 (sin.f64 eps) 2) 1)
(-.f64 1 (pow.f64 (cos.f64 eps) 2))
(pow.f64 (sin.f64 eps) 2)
(*.f64 1 (pow.f64 (sin.f64 eps) 2))
(-.f64 1 (pow.f64 (cos.f64 eps) 2))
(pow.f64 (sin.f64 eps) 2)
(.f64 (sqrt.f64 (sin.f64 eps)) (.f64 (sqrt.f64 (sin.f64 eps)) (sin.f64 eps)))
(-.f64 1 (pow.f64 (cos.f64 eps) 2))
(pow.f64 (sin.f64 eps) 2)
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 2) (cbrt.f64 (pow.f64 (sin.f64 eps) 4)))
(.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 2) (.f64 (cbrt.f64 (sin.f64 eps)) (sin.f64 eps)))
(-.f64 1 (pow.f64 (cos.f64 eps) 2))
(pow.f64 (sin.f64 eps) 2)
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 eps) 4)) (pow.f64 (cbrt.f64 (sin.f64 eps)) 2))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 2) (cbrt.f64 (pow.f64 (sin.f64 eps) 4)))
(.f64 (.f64 (sin.f64 eps) (sqrt.f64 (sin.f64 eps))) (sqrt.f64 (sin.f64 eps)))
(-.f64 1 (pow.f64 (cos.f64 eps) 2))
(pow.f64 (sin.f64 eps) 2)
(.f64 (.f64 (sin.f64 eps) (pow.f64 (cbrt.f64 (sin.f64 eps)) 2)) (cbrt.f64 (sin.f64 eps)))
(-.f64 1 (pow.f64 (cos.f64 eps) 2))
(pow.f64 (sin.f64 eps) 2)
(/.f64 (-.f64 1 (*.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (+.f64 1 (pow.f64 (cos.f64 eps) 2)))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 eps) 4)) (+.f64 1 (pow.f64 (cos.f64 eps) 2)))
(/.f64 (-.f64 1 (pow.f64 (pow.f64 (cos.f64 eps) 2) 3)) (+.f64 1 (+.f64 (pow.f64 (cos.f64 eps) 2) (*.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))))
(/.f64 (-.f64 1 (pow.f64 (pow.f64 (cos.f64 eps) 2) 3)) (+.f64 1 (+.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (cos.f64 eps) 4))))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 eps) 6)) (+.f64 1 (+.f64 (pow.f64 (cos.f64 eps) 2) (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)
(-.f64 1/2 (/.f64 (cos.f64 (+.f64 eps eps)) 2))
(/.f64 (.f64 1 (-.f64 1 (.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (+.f64 1 (pow.f64 (cos.f64 eps) 2)))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 eps) 4)) (+.f64 1 (pow.f64 (cos.f64 eps) 2)))
(/.f64 (.f64 1 (-.f64 1 (pow.f64 (pow.f64 (cos.f64 eps) 2) 3))) (+.f64 1 (+.f64 (pow.f64 (cos.f64 eps) 2) (.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))))
(/.f64 (-.f64 1 (pow.f64 (pow.f64 (cos.f64 eps) 2) 3)) (+.f64 1 (+.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (cos.f64 eps) 4))))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 eps) 6)) (+.f64 1 (+.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (cos.f64 eps) 4))))
(/.f64 (*.f64 1 (-.f64 (cos.f64 (-.f64 eps eps)) (cos.f64 (+.f64 eps eps)))) 2)
(/.f64 (-.f64 (cos.f64 0) (cos.f64 (+.f64 eps eps))) 2)
(-.f64 1/2 (/.f64 (cos.f64 (+.f64 eps eps)) 2))
(/.f64 (.f64 (-.f64 1 (.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) 1) (+.f64 1 (pow.f64 (cos.f64 eps) 2)))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 eps) 4)) (+.f64 1 (pow.f64 (cos.f64 eps) 2)))
(/.f64 (.f64 (-.f64 1 (pow.f64 (pow.f64 (cos.f64 eps) 2) 3)) 1) (+.f64 1 (+.f64 (pow.f64 (cos.f64 eps) 2) (.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))))
(/.f64 (-.f64 1 (pow.f64 (pow.f64 (cos.f64 eps) 2) 3)) (+.f64 1 (+.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (cos.f64 eps) 4))))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 eps) 6)) (+.f64 1 (+.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (cos.f64 eps) 4))))
(/.f64 (*.f64 (-.f64 (cos.f64 (-.f64 eps eps)) (cos.f64 (+.f64 eps eps))) 1) 2)
(/.f64 (-.f64 (cos.f64 0) (cos.f64 (+.f64 eps eps))) 2)
(-.f64 1/2 (/.f64 (cos.f64 (+.f64 eps eps)) 2))
(sqrt.f64 (pow.f64 (sin.f64 eps) 4))
(log.f64 (exp.f64 (pow.f64 (sin.f64 eps) 2)))
(-.f64 1 (pow.f64 (cos.f64 eps) 2))
(pow.f64 (sin.f64 eps) 2)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (sin.f64 eps) 2))))
(-.f64 1 (pow.f64 (cos.f64 eps) 2))
(pow.f64 (sin.f64 eps) 2)
(cbrt.f64 (pow.f64 (pow.f64 (sin.f64 eps) 2) 3))
(-.f64 1 (pow.f64 (cos.f64 eps) 2))
(pow.f64 (sin.f64 eps) 2)
(expm1.f64 (log1p.f64 (pow.f64 (sin.f64 eps) 2)))
(-.f64 1 (pow.f64 (cos.f64 eps) 2))
(pow.f64 (sin.f64 eps) 2)
(exp.f64 (*.f64 2 (log.f64 (sin.f64 eps))))
(-.f64 1 (pow.f64 (cos.f64 eps) 2))
(pow.f64 (sin.f64 eps) 2)
(exp.f64 (.f64 (.f64 2 (log.f64 (sin.f64 eps))) 1))
(-.f64 1 (pow.f64 (cos.f64 eps) 2))
(pow.f64 (sin.f64 eps) 2)
(log1p.f64 (expm1.f64 (pow.f64 (sin.f64 eps) 2)))
(-.f64 1 (pow.f64 (cos.f64 eps) 2))
(pow.f64 (sin.f64 eps) 2)

localize4.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 (.f64 eps eps) -1/2)

Compiler

Compiled 12 to 6 computations (50% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite47.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1074×	`add-sqr-sqrt`
1056×	`*-un-lft-identity`
1004×	`pow1`
984×	`add-cube-cbrt`
976×	`add-cbrt-cube`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	13
1	122	13
2	1407	13

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

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

Outputs

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

simplify39.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1650×	`distribute-rgt-in`
1626×	`distribute-lft-in`
1316×	`log-prod`
928×	`associate-r`
822×	`associate-+r+`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	299
1	92	299
2	360	299
3	2121	299

Stop Event

1×	node limit

Counts

23 → 13

Calls

Call 1

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

Outputs
(*.f64 -1/2 (pow.f64 eps 2))
(.f64 -1/2 (.f64 eps eps))
(*.f64 -1/2 (pow.f64 eps 2))
(.f64 -1/2 (.f64 eps eps))
(*.f64 -1/2 (pow.f64 eps 2))
(.f64 -1/2 (.f64 eps eps))
(*.f64 -1/2 (pow.f64 eps 2))
(.f64 -1/2 (.f64 eps eps))
(*.f64 -1/2 (pow.f64 eps 2))
(.f64 -1/2 (.f64 eps eps))
(*.f64 -1/2 (pow.f64 eps 2))
(.f64 -1/2 (.f64 eps eps))
(*.f64 -1/2 (pow.f64 eps 2))
(.f64 -1/2 (.f64 eps eps))
(*.f64 -1/2 (pow.f64 eps 2))
(.f64 -1/2 (.f64 eps eps))
(*.f64 -1/2 (pow.f64 eps 2))
(.f64 -1/2 (.f64 eps eps))
(*.f64 -1/2 (pow.f64 eps 2))
(.f64 -1/2 (.f64 eps eps))
(*.f64 -1/2 (pow.f64 eps 2))
(.f64 -1/2 (.f64 eps eps))
(*.f64 -1/2 (pow.f64 eps 2))
(.f64 -1/2 (.f64 eps eps))
(-.f64 (+.f64 1 (.f64 eps (.f64 eps -1/2))) 1)
(.f64 -1/2 (.f64 eps eps))
(pow.f64 (.f64 eps (.f64 eps -1/2)) 1)
(.f64 -1/2 (.f64 eps eps))
(pow.f64 (*.f64 eps (sqrt.f64 -1/2)) 2)
(.f64 -1/2 (.f64 eps eps))
(pow.f64 (cbrt.f64 (.f64 eps (.f64 eps -1/2))) 3)
(.f64 -1/2 (.f64 eps eps))
(pow.f64 (pow.f64 (.f64 eps (.f64 eps -1/2)) 3) 1/3)
(.f64 -1/2 (.f64 eps eps))
(sqrt.f64 (*.f64 1/4 (pow.f64 eps 4)))
(.f64 -1/2 (.f64 eps eps))
(log.f64 (pow.f64 (exp.f64 eps) (*.f64 eps -1/2)))
(.f64 -1/2 (.f64 eps eps))
(cbrt.f64 (pow.f64 (.f64 eps (.f64 eps -1/2)) 3))
(.f64 -1/2 (.f64 eps eps))
(expm1.f64 (log1p.f64 (.f64 eps (.f64 eps -1/2))))
(.f64 -1/2 (.f64 eps eps))
(exp.f64 (log.f64 (.f64 eps (.f64 eps -1/2))))
(.f64 -1/2 (.f64 eps eps))
(log1p.f64 (expm1.f64 (.f64 eps (.f64 eps -1/2))))
(.f64 -1/2 (.f64 eps eps))

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (.f64 -1/2 (.f64 (.f64 (cos.f64 x) eps) eps)) (.f64 eps (sin.f64 x)))
✓	0.1b	(.f64 (.f64 (cos.f64 x) eps) eps)
✓	0.1b	(*.f64 eps (sin.f64 x))
✓	0.1b	(*.f64 (cos.f64 x) eps)

Compiler

Compiled 44 to 13 computations (70.5% saved)

series7.0ms (0%)

Counts

4 → 60

Calls

24 calls:

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

rewrite114.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

784×	`distribute-rgt-in`
726×	`distribute-lft-in`
546×	`associate-*r/`
468×	`associate-*l/`
360×	`associate-+l+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	78
1	278	72
2	3633	72

Stop Event

1×	node limit

Counts

4 → 241

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (cos.f64 x) eps))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (cos.f64 x) eps) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 (cos.f64 x) eps)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 (cos.f64 x) eps)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (cos.f64 x) eps) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 (cos.f64 x) eps) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (cos.f64 x)) eps))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 (cos.f64 x) eps))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 (cos.f64 x) eps) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 eps 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 eps 3) (pow.f64 (cos.f64 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 (cos.f64 x) eps)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 (cos.f64 x) eps)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 (cos.f64 x) eps)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (cos.f64 x) eps)))))))
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simplify135.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1320×	`fma-def`
1064×	`associate-r`
996×	`associate-l`
584×	`+-commutative`
576×	`associate-/l*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	635	16551
1	1870	14795

Stop Event

1×	node limit

Counts

301 → 357

Calls

Call 1

Inputs
eps
(+.f64 eps (.f64 -1/2 (.f64 eps (pow.f64 x 2))))
(+.f64 eps (+.f64 (.f64 1/24 (.f64 eps (pow.f64 x 4))) (.f64 -1/2 (.f64 eps (pow.f64 x 2)))))
(+.f64 (.f64 -1/720 (.f64 eps (pow.f64 x 6))) (+.f64 eps (+.f64 (.f64 1/24 (.f64 eps (pow.f64 x 4))) (.f64 -1/2 (.f64 eps (pow.f64 x 2))))))
(*.f64 eps (cos.f64 x))
(*.f64 eps (cos.f64 x))
(*.f64 eps (cos.f64 x))
(*.f64 eps (cos.f64 x))
(*.f64 eps x)
(+.f64 (.f64 eps x) (.f64 -1/6 (*.f64 eps (pow.f64 x 3))))
(+.f64 (.f64 1/120 (.f64 eps (pow.f64 x 5))) (+.f64 (.f64 eps x) (.f64 -1/6 (*.f64 eps (pow.f64 x 3)))))
(+.f64 (.f64 1/120 (.f64 eps (pow.f64 x 5))) (+.f64 (.f64 eps x) (+.f64 (.f64 -1/5040 (.f64 eps (pow.f64 x 7))) (.f64 -1/6 (*.f64 eps (pow.f64 x 3))))))
(pow.f64 eps 2)
(+.f64 (pow.f64 eps 2) (.f64 -1/2 (.f64 (pow.f64 eps 2) (pow.f64 x 2))))
(+.f64 (pow.f64 eps 2) (+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (pow.f64 x 2))) (.f64 1/24 (.f64 (pow.f64 eps 2) (pow.f64 x 4)))))
(+.f64 (pow.f64 eps 2) (+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (pow.f64 x 2))) (+.f64 (.f64 -1/720 (.f64 (pow.f64 eps 2) (pow.f64 x 6))) (.f64 1/24 (.f64 (pow.f64 eps 2) (pow.f64 x 4))))))
(*.f64 (cos.f64 x) (pow.f64 eps 2))
(*.f64 (cos.f64 x) (pow.f64 eps 2))
(*.f64 (cos.f64 x) (pow.f64 eps 2))
(*.f64 (cos.f64 x) (pow.f64 eps 2))
(*.f64 (pow.f64 eps 2) (cos.f64 x))
(*.f64 (pow.f64 eps 2) (cos.f64 x))
(*.f64 (pow.f64 eps 2) (cos.f64 x))
(*.f64 (pow.f64 eps 2) (cos.f64 x))
(*.f64 (cos.f64 x) (pow.f64 eps 2))
(*.f64 (cos.f64 x) (pow.f64 eps 2))
(*.f64 (cos.f64 x) (pow.f64 eps 2))
(*.f64 (cos.f64 x) (pow.f64 eps 2))
(*.f64 (cos.f64 x) (pow.f64 eps 2))
(*.f64 (cos.f64 x) (pow.f64 eps 2))
(*.f64 (cos.f64 x) (pow.f64 eps 2))
(*.f64 (cos.f64 x) (pow.f64 eps 2))
(*.f64 (cos.f64 x) (pow.f64 eps 2))
(*.f64 (cos.f64 x) (pow.f64 eps 2))
(*.f64 (cos.f64 x) (pow.f64 eps 2))
(*.f64 (cos.f64 x) (pow.f64 eps 2))
(*.f64 -1/2 (pow.f64 eps 2))
(+.f64 (.f64 -1 (.f64 eps x)) (*.f64 -1/2 (pow.f64 eps 2)))
(+.f64 (.f64 -1 (.f64 eps x)) (+.f64 (.f64 -1/2 (pow.f64 eps 2)) (.f64 1/4 (*.f64 (pow.f64 eps 2) (pow.f64 x 2)))))
(+.f64 (.f64 -1 (.f64 eps x)) (+.f64 (.f64 -1/2 (pow.f64 eps 2)) (+.f64 (.f64 1/6 (.f64 eps (pow.f64 x 3))) (.f64 1/4 (*.f64 (pow.f64 eps 2) (pow.f64 x 2))))))
(-.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 eps (sin.f64 x)))
(-.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 eps (sin.f64 x)))
(-.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 eps (sin.f64 x)))
(-.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 eps (sin.f64 x)))
(-.f64 (.f64 -1/2 (.f64 (cos.f64 x) (pow.f64 eps 2))) (*.f64 eps (sin.f64 x)))
(-.f64 (.f64 -1/2 (.f64 (cos.f64 x) (pow.f64 eps 2))) (*.f64 eps (sin.f64 x)))
(-.f64 (.f64 -1/2 (.f64 (cos.f64 x) (pow.f64 eps 2))) (*.f64 eps (sin.f64 x)))
(-.f64 (.f64 -1/2 (.f64 (cos.f64 x) (pow.f64 eps 2))) (*.f64 eps (sin.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 -1/2 (.f64 (pow.f64 eps 2) (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 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (.f64 -1 (.f64 eps (sin.f64 x))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (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 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (.f64 -1 (.f64 eps (sin.f64 x))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (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 (exp.f64 (log1p.f64 (*.f64 (cos.f64 x) eps))) 1)
(pow.f64 (*.f64 (cos.f64 x) eps) 1)
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 x) eps)) 2)
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps)) 3)
(pow.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 2))
(log.f64 (pow.f64 (exp.f64 (cos.f64 x)) eps))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (cos.f64 x) eps))))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 3))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 eps 3)))
(cbrt.f64 (*.f64 (pow.f64 eps 3) (pow.f64 (cos.f64 x) 3)))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 x) eps)))
(exp.f64 (log.f64 (*.f64 (cos.f64 x) eps)))
(exp.f64 (.f64 (log.f64 (.f64 (cos.f64 x) eps)) 1))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 x) eps)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 eps (sin.f64 x)))) 1)
(pow.f64 (*.f64 eps (sin.f64 x)) 1)
(pow.f64 (sqrt.f64 (*.f64 eps (sin.f64 x))) 2)
(pow.f64 (cbrt.f64 (*.f64 eps (sin.f64 x))) 3)
(pow.f64 (pow.f64 (*.f64 eps (sin.f64 x)) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 eps (sin.f64 x)) 2))
(log.f64 (pow.f64 (exp.f64 eps) (sin.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 eps (sin.f64 x)))))
(cbrt.f64 (pow.f64 (*.f64 eps (sin.f64 x)) 3))
(expm1.f64 (log1p.f64 (*.f64 eps (sin.f64 x))))
(exp.f64 (log.f64 (*.f64 eps (sin.f64 x))))
(exp.f64 (.f64 (log.f64 (.f64 eps (sin.f64 x))) 1))
(log1p.f64 (expm1.f64 (*.f64 eps (sin.f64 x))))
(-.f64 (exp.f64 (log1p.f64 (.f64 (cos.f64 x) (.f64 eps eps)))) 1)
(pow.f64 (.f64 (cos.f64 x) (.f64 eps eps)) 1)
(pow.f64 (*.f64 (sqrt.f64 (cos.f64 x)) eps) 2)
(pow.f64 (cbrt.f64 (.f64 (cos.f64 x) (.f64 eps eps))) 3)
(pow.f64 (pow.f64 (.f64 (cos.f64 x) (.f64 eps eps)) 3) 1/3)
(sqrt.f64 (pow.f64 (.f64 (cos.f64 x) (.f64 eps eps)) 2))
(log.f64 (pow.f64 (exp.f64 (cos.f64 x)) (*.f64 eps eps)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (cos.f64 x) (.f64 eps eps)))))
(cbrt.f64 (pow.f64 (.f64 (cos.f64 x) (.f64 eps eps)) 3))
(cbrt.f64 (.f64 (pow.f64 eps 3) (pow.f64 (.f64 (cos.f64 x) eps) 3)))
(cbrt.f64 (.f64 (pow.f64 (.f64 (cos.f64 x) eps) 3) (pow.f64 eps 3)))
(expm1.f64 (log1p.f64 (.f64 (cos.f64 x) (.f64 eps eps))))
(exp.f64 (log.f64 (.f64 (cos.f64 x) (.f64 eps eps))))
(exp.f64 (.f64 (log.f64 (.f64 (cos.f64 x) (*.f64 eps eps))) 1))
(log1p.f64 (expm1.f64 (.f64 (cos.f64 x) (.f64 eps eps))))
(+.f64 (.f64 (cos.f64 x) (.f64 (.f64 eps eps) -1/2)) (.f64 eps (neg.f64 (sin.f64 x))))
(+.f64 (.f64 (cos.f64 x) (.f64 (.f64 eps eps) -1/2)) (+.f64 (.f64 eps (neg.f64 (sin.f64 x))) (.f64 (.f64 eps (sin.f64 x)) 0)))
(+.f64 (.f64 (cos.f64 x) (.f64 (.f64 eps eps) -1/2)) (+.f64 (+.f64 (.f64 eps (neg.f64 (sin.f64 x))) (.f64 (.f64 eps (sin.f64 x)) 0)) (.f64 (.f64 eps (sin.f64 x)) 0)))
(+.f64 (.f64 (cos.f64 x) (.f64 (.f64 eps eps) -1/2)) (+.f64 (.f64 eps (neg.f64 (sin.f64 x))) (.f64 (.f64 (*.f64 eps (sin.f64 x)) 0) 2)))
(+.f64 (.f64 (cos.f64 x) (.f64 (.f64 eps eps) -1/2)) (+.f64 (+.f64 (.f64 eps (neg.f64 (sin.f64 x))) (.f64 (.f64 eps (sin.f64 x)) 0)) (.f64 (.f64 (*.f64 eps (sin.f64 x)) 0) 2)))
(+.f64 (.f64 (cos.f64 x) (.f64 (.f64 eps eps) -1/2)) (+.f64 (.f64 eps (neg.f64 (sin.f64 x))) (.f64 (.f64 (*.f64 eps (sin.f64 x)) 0) 1)))
(+.f64 (.f64 (cos.f64 x) (.f64 (.f64 eps eps) -1/2)) (+.f64 (+.f64 (.f64 eps (neg.f64 (sin.f64 x))) (.f64 (.f64 eps (sin.f64 x)) 0)) (.f64 (.f64 (*.f64 eps (sin.f64 x)) 0) 1)))
(+.f64 (.f64 (cos.f64 x) (.f64 (.f64 eps eps) -1/2)) (+.f64 (.f64 eps (neg.f64 (sin.f64 x))) (fma.f64 (neg.f64 eps) (sin.f64 x) (*.f64 eps (sin.f64 x)))))
(+.f64 (.f64 (cos.f64 x) (.f64 (.f64 eps eps) -1/2)) (+.f64 (+.f64 (.f64 eps (neg.f64 (sin.f64 x))) (.f64 (.f64 eps (sin.f64 x)) 0)) (fma.f64 (neg.f64 eps) (sin.f64 x) (*.f64 eps (sin.f64 x)))))
(+.f64 (.f64 (cos.f64 x) (.f64 (.f64 eps eps) -1/2)) (+.f64 (.f64 eps (neg.f64 (sin.f64 x))) (fma.f64 (.f64 eps (neg.f64 (sin.f64 x))) 1 (.f64 eps (sin.f64 x)))))
(+.f64 (.f64 (cos.f64 x) (.f64 (.f64 eps eps) -1/2)) (+.f64 (+.f64 (.f64 eps (neg.f64 (sin.f64 x))) (.f64 (.f64 eps (sin.f64 x)) 0)) (fma.f64 (.f64 eps (neg.f64 (sin.f64 x))) 1 (.f64 eps (sin.f64 x)))))
(+.f64 (.f64 (cos.f64 x) (.f64 (.f64 eps eps) -1/2)) (+.f64 (.f64 eps (neg.f64 (sin.f64 x))) (fma.f64 (neg.f64 (sqrt.f64 (.f64 eps (sin.f64 x)))) (sqrt.f64 (.f64 eps (sin.f64 x))) (*.f64 eps (sin.f64 x)))))
(+.f64 (.f64 (cos.f64 x) (.f64 (.f64 eps eps) -1/2)) (+.f64 (+.f64 (.f64 eps (neg.f64 (sin.f64 x))) (.f64 (.f64 eps (sin.f64 x)) 0)) (fma.f64 (neg.f64 (sqrt.f64 (.f64 eps (sin.f64 x)))) (sqrt.f64 (.f64 eps (sin.f64 x))) (*.f64 eps (sin.f64 x)))))
(+.f64 (.f64 (cos.f64 x) (.f64 (.f64 eps eps) -1/2)) (+.f64 (.f64 eps (neg.f64 (sin.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 eps (sin.f64 x)))) (pow.f64 (cbrt.f64 (.f64 eps (sin.f64 x))) 2) (*.f64 eps (sin.f64 x)))))
(+.f64 (.f64 (cos.f64 x) (.f64 (.f64 eps eps) -1/2)) (+.f64 (+.f64 (.f64 eps (neg.f64 (sin.f64 x))) (.f64 (.f64 eps (sin.f64 x)) 0)) (fma.f64 (neg.f64 (cbrt.f64 (.f64 eps (sin.f64 x)))) (pow.f64 (cbrt.f64 (.f64 eps (sin.f64 x))) 2) (*.f64 eps (sin.f64 x)))))
(+.f64 (.f64 (cos.f64 x) (.f64 (.f64 eps eps) -1/2)) (.f64 (+.f64 (.f64 eps (neg.f64 (sin.f64 x))) (.f64 (*.f64 eps (sin.f64 x)) 0)) 1))
(+.f64 (.f64 eps (-.f64 (.f64 (.f64 -1/2 eps) (cos.f64 x)) (sin.f64 x))) (.f64 (*.f64 eps (sin.f64 x)) 0))
(+.f64 (.f64 eps (-.f64 (.f64 (.f64 -1/2 eps) (cos.f64 x)) (sin.f64 x))) (.f64 (.f64 (.f64 eps (sin.f64 x)) 0) 2))
(+.f64 (.f64 eps (-.f64 (.f64 (.f64 -1/2 eps) (cos.f64 x)) (sin.f64 x))) (.f64 (.f64 (.f64 eps (sin.f64 x)) 0) 1))
(+.f64 (.f64 eps (-.f64 (.f64 (.f64 -1/2 eps) (cos.f64 x)) (sin.f64 x))) (fma.f64 (neg.f64 eps) (sin.f64 x) (.f64 eps (sin.f64 x))))
(+.f64 (.f64 eps (-.f64 (.f64 (.f64 -1/2 eps) (cos.f64 x)) (sin.f64 x))) (fma.f64 (.f64 eps (neg.f64 (sin.f64 x))) 1 (*.f64 eps (sin.f64 x))))
(+.f64 (.f64 eps (-.f64 (.f64 (.f64 -1/2 eps) (cos.f64 x)) (sin.f64 x))) (fma.f64 (neg.f64 (sqrt.f64 (.f64 eps (sin.f64 x)))) (sqrt.f64 (.f64 eps (sin.f64 x))) (.f64 eps (sin.f64 x))))
(+.f64 (.f64 eps (-.f64 (.f64 (.f64 -1/2 eps) (cos.f64 x)) (sin.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 eps (sin.f64 x)))) (pow.f64 (cbrt.f64 (.f64 eps (sin.f64 x))) 2) (.f64 eps (sin.f64 x))))
(+.f64 (.f64 eps (-.f64 (.f64 (.f64 -1/2 eps) (cos.f64 x)) (sin.f64 x))) (+.f64 (.f64 (.f64 (.f64 eps (sin.f64 x)) 0) 2) (.f64 (.f64 eps (sin.f64 x)) 0)))
(+.f64 (.f64 eps (-.f64 (.f64 (.f64 -1/2 eps) (cos.f64 x)) (sin.f64 x))) (+.f64 (.f64 (.f64 (.f64 eps (sin.f64 x)) 0) 1) (.f64 (.f64 eps (sin.f64 x)) 0)))
(+.f64 (.f64 eps (-.f64 (.f64 (.f64 -1/2 eps) (cos.f64 x)) (sin.f64 x))) (+.f64 (fma.f64 (neg.f64 eps) (sin.f64 x) (.f64 eps (sin.f64 x))) (.f64 (.f64 eps (sin.f64 x)) 0)))
(+.f64 (.f64 eps (-.f64 (.f64 (.f64 -1/2 eps) (cos.f64 x)) (sin.f64 x))) (+.f64 (fma.f64 (.f64 eps (neg.f64 (sin.f64 x))) 1 (.f64 eps (sin.f64 x))) (.f64 (*.f64 eps (sin.f64 x)) 0)))
(+.f64 (.f64 eps (-.f64 (.f64 (.f64 -1/2 eps) (cos.f64 x)) (sin.f64 x))) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (.f64 eps (sin.f64 x)))) (sqrt.f64 (.f64 eps (sin.f64 x))) (.f64 eps (sin.f64 x))) (.f64 (.f64 eps (sin.f64 x)) 0)))
(+.f64 (.f64 eps (-.f64 (.f64 (.f64 -1/2 eps) (cos.f64 x)) (sin.f64 x))) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (.f64 eps (sin.f64 x)))) (pow.f64 (cbrt.f64 (.f64 eps (sin.f64 x))) 2) (.f64 eps (sin.f64 x))) (.f64 (.f64 eps (sin.f64 x)) 0)))
(+.f64 (.f64 eps (-.f64 (.f64 (.f64 -1/2 eps) (cos.f64 x)) (sin.f64 x))) (+.f64 (.f64 (.f64 eps (sin.f64 x)) 0) (.f64 (.f64 (.f64 eps (sin.f64 x)) 0) 2)))
(+.f64 (.f64 eps (-.f64 (.f64 (.f64 -1/2 eps) (cos.f64 x)) (sin.f64 x))) (+.f64 (.f64 (.f64 (.f64 eps (sin.f64 x)) 0) 2) (.f64 (.f64 (*.f64 eps (sin.f64 x)) 0) 2)))
(+.f64 (.f64 eps (-.f64 (.f64 (.f64 -1/2 eps) (cos.f64 x)) (sin.f64 x))) (+.f64 (.f64 (.f64 (.f64 eps (sin.f64 x)) 0) 1) (.f64 (.f64 (*.f64 eps (sin.f64 x)) 0) 2)))
(+.f64 (.f64 eps (-.f64 (.f64 (.f64 -1/2 eps) (cos.f64 x)) (sin.f64 x))) (+.f64 (fma.f64 (neg.f64 eps) (sin.f64 x) (.f64 eps (sin.f64 x))) (.f64 (.f64 (*.f64 eps (sin.f64 x)) 0) 2)))
(+.f64 (.f64 eps (-.f64 (.f64 (.f64 -1/2 eps) (cos.f64 x)) (sin.f64 x))) (+.f64 (fma.f64 (.f64 eps (neg.f64 (sin.f64 x))) 1 (.f64 eps (sin.f64 x))) (.f64 (.f64 (.f64 eps (sin.f64 x)) 0) 2)))
(+.f64 (.f64 eps (-.f64 (.f64 (.f64 -1/2 eps) (cos.f64 x)) (sin.f64 x))) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (.f64 eps (sin.f64 x)))) (sqrt.f64 (.f64 eps (sin.f64 x))) (.f64 eps (sin.f64 x))) (.f64 (.f64 (*.f64 eps (sin.f64 x)) 0) 2)))
(+.f64 (.f64 eps (-.f64 (.f64 (.f64 -1/2 eps) (cos.f64 x)) (sin.f64 x))) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (.f64 eps (sin.f64 x)))) (pow.f64 (cbrt.f64 (.f64 eps (sin.f64 x))) 2) (.f64 eps (sin.f64 x))) (.f64 (.f64 (*.f64 eps (sin.f64 x)) 0) 2)))
(+.f64 (.f64 eps (-.f64 (.f64 (.f64 -1/2 eps) (cos.f64 x)) (sin.f64 x))) (+.f64 (.f64 (.f64 eps (sin.f64 x)) 0) (.f64 (.f64 (.f64 eps (sin.f64 x)) 0) 1)))
(+.f64 (.f64 eps (-.f64 (.f64 (.f64 -1/2 eps) (cos.f64 x)) (sin.f64 x))) (+.f64 (.f64 (.f64 (.f64 eps (sin.f64 x)) 0) 2) (.f64 (.f64 (*.f64 eps (sin.f64 x)) 0) 1)))
(+.f64 (.f64 eps (-.f64 (.f64 (.f64 -1/2 eps) (cos.f64 x)) (sin.f64 x))) (+.f64 (.f64 (.f64 (.f64 eps (sin.f64 x)) 0) 1) (.f64 (.f64 (*.f64 eps (sin.f64 x)) 0) 1)))
(+.f64 (.f64 eps (-.f64 (.f64 (.f64 -1/2 eps) (cos.f64 x)) (sin.f64 x))) (+.f64 (fma.f64 (neg.f64 eps) (sin.f64 x) (.f64 eps (sin.f64 x))) (.f64 (.f64 (*.f64 eps (sin.f64 x)) 0) 1)))
(+.f64 (.f64 eps (-.f64 (.f64 (.f64 -1/2 eps) (cos.f64 x)) (sin.f64 x))) (+.f64 (fma.f64 (.f64 eps (neg.f64 (sin.f64 x))) 1 (.f64 eps (sin.f64 x))) (.f64 (.f64 (.f64 eps (sin.f64 x)) 0) 1)))
(+.f64 (.f64 eps (-.f64 (.f64 (.f64 -1/2 eps) (cos.f64 x)) (sin.f64 x))) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (.f64 eps (sin.f64 x)))) (sqrt.f64 (.f64 eps (sin.f64 x))) (.f64 eps (sin.f64 x))) (.f64 (.f64 (*.f64 eps (sin.f64 x)) 0) 1)))
(+.f64 (.f64 eps (-.f64 (.f64 (.f64 -1/2 eps) (cos.f64 x)) (sin.f64 x))) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (.f64 eps (sin.f64 x)))) (pow.f64 (cbrt.f64 (.f64 eps (sin.f64 x))) 2) (.f64 eps (sin.f64 x))) (.f64 (.f64 (*.f64 eps (sin.f64 x)) 0) 1)))
(+.f64 (.f64 eps (-.f64 (.f64 (.f64 -1/2 eps) (cos.f64 x)) (sin.f64 x))) (+.f64 (.f64 (.f64 eps (sin.f64 x)) 0) (fma.f64 (neg.f64 eps) (sin.f64 x) (.f64 eps (sin.f64 x)))))
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(/.f64 (.f64 (-.f64 (pow.f64 (.f64 1/4 (pow.f64 (.f64 (cos.f64 x) (.f64 eps eps)) 2)) 3) (pow.f64 (pow.f64 (.f64 eps (sin.f64 x)) 2) 3)) (/.f64 1 (.f64 eps (+.f64 (sin.f64 x) (.f64 (.f64 -1/2 eps) (cos.f64 x)))))) (+.f64 (.f64 (.f64 1/4 (pow.f64 (.f64 (cos.f64 x) (.f64 eps eps)) 2)) (.f64 1/4 (pow.f64 (.f64 (cos.f64 x) (.f64 eps eps)) 2))) (.f64 (pow.f64 (.f64 eps (sin.f64 x)) 2) (+.f64 (.f64 1/4 (pow.f64 (.f64 (cos.f64 x) (.f64 eps eps)) 2)) (pow.f64 (*.f64 eps (sin.f64 x)) 2)))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 -1/8 (pow.f64 (.f64 (cos.f64 x) (.f64 eps eps)) 3)) (.f64 -1/8 (pow.f64 (.f64 (cos.f64 x) (.f64 eps eps)) 3))) (.f64 (pow.f64 (.f64 eps (sin.f64 x)) 3) (pow.f64 (.f64 eps (sin.f64 x)) 3))) (/.f64 1 (+.f64 (.f64 1/4 (pow.f64 (.f64 (cos.f64 x) (.f64 eps eps)) 2)) (.f64 (.f64 eps (sin.f64 x)) (.f64 eps (+.f64 (sin.f64 x) (.f64 (.f64 -1/2 eps) (cos.f64 x)))))))) (.f64 (pow.f64 eps 3) (+.f64 (pow.f64 (.f64 (.f64 -1/2 eps) (cos.f64 x)) 3) (pow.f64 (sin.f64 x) 3))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 -1/8 (pow.f64 (.f64 (cos.f64 x) (.f64 eps eps)) 3)) 3) (pow.f64 (pow.f64 (.f64 eps (sin.f64 x)) 3) 3)) (/.f64 1 (+.f64 (.f64 1/4 (pow.f64 (.f64 (cos.f64 x) (.f64 eps eps)) 2)) (.f64 (.f64 eps (sin.f64 x)) (.f64 eps (+.f64 (sin.f64 x) (.f64 (.f64 -1/2 eps) (cos.f64 x)))))))) (+.f64 (.f64 (.f64 -1/8 (pow.f64 (.f64 (cos.f64 x) (.f64 eps eps)) 3)) (.f64 -1/8 (pow.f64 (.f64 (cos.f64 x) (.f64 eps eps)) 3))) (.f64 (pow.f64 (.f64 eps (sin.f64 x)) 3) (.f64 (pow.f64 eps 3) (+.f64 (pow.f64 (.f64 (*.f64 -1/2 eps) (cos.f64 x)) 3) (pow.f64 (sin.f64 x) 3))))))
(/.f64 (/.f64 (-.f64 (.f64 1/4 (pow.f64 (.f64 (cos.f64 x) (.f64 eps eps)) 2)) (pow.f64 (.f64 eps (sin.f64 x)) 2)) eps) (+.f64 (sin.f64 x) (.f64 (.f64 -1/2 eps) (cos.f64 x))))
(/.f64 (/.f64 (-.f64 (.f64 1/4 (pow.f64 (.f64 (cos.f64 x) (.f64 eps eps)) 2)) (pow.f64 (.f64 eps (sin.f64 x)) 2)) 1) (.f64 eps (+.f64 (sin.f64 x) (.f64 (*.f64 -1/2 eps) (cos.f64 x)))))
(/.f64 (/.f64 (-.f64 (.f64 1/4 (pow.f64 (.f64 (cos.f64 x) (.f64 eps eps)) 2)) (pow.f64 (.f64 eps (sin.f64 x)) 2)) (sqrt.f64 (.f64 eps (+.f64 (sin.f64 x) (.f64 (.f64 -1/2 eps) (cos.f64 x)))))) (sqrt.f64 (.f64 eps (+.f64 (sin.f64 x) (.f64 (.f64 -1/2 eps) (cos.f64 x))))))
(/.f64 (/.f64 (-.f64 (.f64 1/4 (pow.f64 (.f64 (cos.f64 x) (.f64 eps eps)) 2)) (pow.f64 (.f64 eps (sin.f64 x)) 2)) (.f64 (cbrt.f64 (.f64 eps (+.f64 (sin.f64 x) (.f64 (.f64 -1/2 eps) (cos.f64 x))))) (cbrt.f64 (.f64 eps (+.f64 (sin.f64 x) (.f64 (.f64 -1/2 eps) (cos.f64 x))))))) (cbrt.f64 (.f64 eps (+.f64 (sin.f64 x) (.f64 (.f64 -1/2 eps) (cos.f64 x))))))
(/.f64 (/.f64 (.f64 (pow.f64 eps 3) (-.f64 (pow.f64 (.f64 (.f64 -1/2 eps) (cos.f64 x)) 3) (pow.f64 (sin.f64 x) 3))) 1) (+.f64 (.f64 1/4 (pow.f64 (.f64 (cos.f64 x) (.f64 eps eps)) 2)) (.f64 (.f64 eps (sin.f64 x)) (.f64 eps (+.f64 (sin.f64 x) (.f64 (*.f64 -1/2 eps) (cos.f64 x)))))))
(/.f64 (/.f64 (.f64 (pow.f64 eps 3) (-.f64 (pow.f64 (.f64 (.f64 -1/2 eps) (cos.f64 x)) 3) (pow.f64 (sin.f64 x) 3))) (sqrt.f64 (+.f64 (.f64 1/4 (pow.f64 (.f64 (cos.f64 x) (.f64 eps eps)) 2)) (.f64 (.f64 eps (sin.f64 x)) (.f64 eps (+.f64 (sin.f64 x) (.f64 (.f64 -1/2 eps) (cos.f64 x)))))))) (sqrt.f64 (+.f64 (.f64 1/4 (pow.f64 (.f64 (cos.f64 x) (.f64 eps eps)) 2)) (.f64 (.f64 eps (sin.f64 x)) (.f64 eps (+.f64 (sin.f64 x) (.f64 (*.f64 -1/2 eps) (cos.f64 x))))))))
(/.f64 (/.f64 (.f64 (pow.f64 eps 3) (-.f64 (pow.f64 (.f64 (.f64 -1/2 eps) (cos.f64 x)) 3) (pow.f64 (sin.f64 x) 3))) (.f64 (cbrt.f64 (+.f64 (.f64 1/4 (pow.f64 (.f64 (cos.f64 x) (.f64 eps eps)) 2)) (.f64 (.f64 eps (sin.f64 x)) (.f64 eps (+.f64 (sin.f64 x) (.f64 (.f64 -1/2 eps) (cos.f64 x))))))) (cbrt.f64 (+.f64 (.f64 1/4 (pow.f64 (.f64 (cos.f64 x) (.f64 eps eps)) 2)) (.f64 (.f64 eps (sin.f64 x)) (.f64 eps (+.f64 (sin.f64 x) (.f64 (.f64 -1/2 eps) (cos.f64 x))))))))) (cbrt.f64 (+.f64 (.f64 1/4 (pow.f64 (.f64 (cos.f64 x) (.f64 eps eps)) 2)) (.f64 (.f64 eps (sin.f64 x)) (.f64 eps (+.f64 (sin.f64 x) (.f64 (.f64 -1/2 eps) (cos.f64 x))))))))
(pow.f64 (.f64 eps (-.f64 (.f64 (*.f64 -1/2 eps) (cos.f64 x)) (sin.f64 x))) 1)
(pow.f64 (sqrt.f64 (.f64 eps (-.f64 (.f64 (*.f64 -1/2 eps) (cos.f64 x)) (sin.f64 x)))) 2)
(pow.f64 (cbrt.f64 (.f64 eps (-.f64 (.f64 (*.f64 -1/2 eps) (cos.f64 x)) (sin.f64 x)))) 3)
(pow.f64 (pow.f64 (.f64 eps (-.f64 (.f64 (*.f64 -1/2 eps) (cos.f64 x)) (sin.f64 x))) 3) 1/3)
(neg.f64 (/.f64 (-.f64 (.f64 1/4 (pow.f64 (.f64 (cos.f64 x) (.f64 eps eps)) 2)) (pow.f64 (.f64 eps (sin.f64 x)) 2)) (.f64 (neg.f64 eps) (+.f64 (sin.f64 x) (.f64 (*.f64 -1/2 eps) (cos.f64 x))))))
(neg.f64 (/.f64 (.f64 (pow.f64 eps 3) (-.f64 (pow.f64 (.f64 (.f64 -1/2 eps) (cos.f64 x)) 3) (pow.f64 (sin.f64 x) 3))) (neg.f64 (+.f64 (.f64 1/4 (pow.f64 (.f64 (cos.f64 x) (.f64 eps eps)) 2)) (.f64 (.f64 eps (sin.f64 x)) (.f64 eps (+.f64 (sin.f64 x) (.f64 (*.f64 -1/2 eps) (cos.f64 x)))))))))
(sqrt.f64 (pow.f64 (.f64 eps (-.f64 (.f64 (*.f64 -1/2 eps) (cos.f64 x)) (sin.f64 x))) 2))
(log.f64 (exp.f64 (.f64 eps (-.f64 (.f64 (*.f64 -1/2 eps) (cos.f64 x)) (sin.f64 x)))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 eps (-.f64 (.f64 (*.f64 -1/2 eps) (cos.f64 x)) (sin.f64 x))))))
(cbrt.f64 (pow.f64 (.f64 eps (-.f64 (.f64 (*.f64 -1/2 eps) (cos.f64 x)) (sin.f64 x))) 3))
(expm1.f64 (log1p.f64 (.f64 eps (-.f64 (.f64 (*.f64 -1/2 eps) (cos.f64 x)) (sin.f64 x)))))
(exp.f64 (log.f64 (.f64 eps (-.f64 (.f64 (*.f64 -1/2 eps) (cos.f64 x)) (sin.f64 x)))))
(exp.f64 (.f64 (log.f64 (.f64 eps (-.f64 (.f64 (.f64 -1/2 eps) (cos.f64 x)) (sin.f64 x)))) 1))
(log1p.f64 (expm1.f64 (.f64 eps (-.f64 (.f64 (*.f64 -1/2 eps) (cos.f64 x)) (sin.f64 x)))))
(fma.f64 (.f64 (cos.f64 x) (.f64 eps eps)) -1/2 (*.f64 eps (neg.f64 (sin.f64 x))))
(fma.f64 -1/2 (.f64 (cos.f64 x) (.f64 eps eps)) (*.f64 eps (neg.f64 (sin.f64 x))))
(fma.f64 1 (.f64 (cos.f64 x) (.f64 (.f64 eps eps) -1/2)) (.f64 eps (neg.f64 (sin.f64 x))))
(fma.f64 1 (.f64 eps (-.f64 (.f64 (.f64 -1/2 eps) (cos.f64 x)) (sin.f64 x))) (.f64 (*.f64 eps (sin.f64 x)) 0))
(fma.f64 (.f64 (sqrt.f64 -1/2) (.f64 (sqrt.f64 (cos.f64 x)) eps)) (.f64 (sqrt.f64 -1/2) (.f64 (sqrt.f64 (cos.f64 x)) eps)) (*.f64 eps (neg.f64 (sin.f64 x))))
(fma.f64 (sqrt.f64 (.f64 eps (-.f64 (.f64 (.f64 -1/2 eps) (cos.f64 x)) (sin.f64 x)))) (sqrt.f64 (.f64 eps (-.f64 (.f64 (.f64 -1/2 eps) (cos.f64 x)) (sin.f64 x)))) (.f64 (.f64 eps (sin.f64 x)) 0))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 x) (.f64 (.f64 eps eps) -1/2))) 2) (cbrt.f64 (.f64 (cos.f64 x) (.f64 (.f64 eps eps) -1/2))) (*.f64 eps (neg.f64 (sin.f64 x))))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 eps (-.f64 (.f64 (.f64 -1/2 eps) (cos.f64 x)) (sin.f64 x)))) 2) (cbrt.f64 (.f64 eps (-.f64 (.f64 (.f64 -1/2 eps) (cos.f64 x)) (sin.f64 x)))) (.f64 (.f64 eps (sin.f64 x)) 0))
(fma.f64 (.f64 (.f64 -1/2 eps) (cos.f64 x)) eps (*.f64 eps (neg.f64 (sin.f64 x))))

Outputs
eps
(+.f64 eps (.f64 -1/2 (.f64 eps (pow.f64 x 2))))
(+.f64 eps (.f64 (.f64 eps -1/2) (*.f64 x x)))
(fma.f64 -1/2 (.f64 eps (.f64 x x)) eps)
(+.f64 eps (+.f64 (.f64 1/24 (.f64 eps (pow.f64 x 4))) (.f64 -1/2 (.f64 eps (pow.f64 x 2)))))
(+.f64 eps (fma.f64 1/24 (.f64 eps (pow.f64 x 4)) (.f64 (.f64 eps -1/2) (.f64 x x))))
(+.f64 eps (fma.f64 -1/2 (.f64 eps (.f64 x x)) (.f64 eps (.f64 (pow.f64 x 4) 1/24))))
(+.f64 (.f64 -1/720 (.f64 eps (pow.f64 x 6))) (+.f64 eps (+.f64 (.f64 1/24 (.f64 eps (pow.f64 x 4))) (.f64 -1/2 (.f64 eps (pow.f64 x 2))))))
(fma.f64 -1/720 (.f64 eps (pow.f64 x 6)) (+.f64 eps (fma.f64 1/24 (.f64 eps (pow.f64 x 4)) (.f64 (.f64 eps -1/2) (*.f64 x x)))))
(+.f64 (fma.f64 -1/2 (.f64 eps (.f64 x x)) (.f64 eps (.f64 (pow.f64 x 4) 1/24))) (fma.f64 -1/720 (*.f64 eps (pow.f64 x 6)) eps))
(*.f64 eps (cos.f64 x))
(*.f64 eps (cos.f64 x))
(*.f64 eps (cos.f64 x))
(*.f64 eps (cos.f64 x))
(*.f64 eps x)
(+.f64 (.f64 eps x) (.f64 -1/6 (*.f64 eps (pow.f64 x 3))))
(fma.f64 eps x (.f64 (.f64 -1/6 eps) (pow.f64 x 3)))
(fma.f64 eps x (.f64 (pow.f64 x 3) (.f64 eps -1/6)))
(+.f64 (.f64 1/120 (.f64 eps (pow.f64 x 5))) (+.f64 (.f64 eps x) (.f64 -1/6 (*.f64 eps (pow.f64 x 3)))))
(fma.f64 1/120 (.f64 eps (pow.f64 x 5)) (fma.f64 eps x (.f64 (*.f64 -1/6 eps) (pow.f64 x 3))))
(fma.f64 1/120 (.f64 eps (pow.f64 x 5)) (fma.f64 eps x (.f64 (pow.f64 x 3) (*.f64 eps -1/6))))
(+.f64 (.f64 1/120 (.f64 eps (pow.f64 x 5))) (+.f64 (.f64 eps x) (+.f64 (.f64 -1/5040 (.f64 eps (pow.f64 x 7))) (.f64 -1/6 (*.f64 eps (pow.f64 x 3))))))
(fma.f64 1/120 (.f64 eps (pow.f64 x 5)) (fma.f64 eps x (fma.f64 -1/5040 (.f64 eps (pow.f64 x 7)) (.f64 (.f64 -1/6 eps) (pow.f64 x 3)))))
(fma.f64 1/120 (.f64 eps (pow.f64 x 5)) (fma.f64 eps x (fma.f64 -1/6 (.f64 eps (pow.f64 x 3)) (.f64 eps (.f64 (pow.f64 x 7) -1/5040)))))
(pow.f64 eps 2)
(*.f64 eps eps)
(+.f64 (pow.f64 eps 2) (.f64 -1/2 (.f64 (pow.f64 eps 2) (pow.f64 x 2))))
(+.f64 (.f64 eps eps) (.f64 -1/2 (.f64 (.f64 x x) (*.f64 eps eps))))
(fma.f64 eps eps (.f64 eps (.f64 (.f64 x x) (.f64 eps -1/2))))
(+.f64 (pow.f64 eps 2) (+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (pow.f64 x 2))) (.f64 1/24 (.f64 (pow.f64 eps 2) (pow.f64 x 4)))))
(+.f64 (.f64 eps eps) (fma.f64 -1/2 (.f64 (.f64 x x) (.f64 eps eps)) (.f64 1/24 (.f64 (pow.f64 x 4) (*.f64 eps eps)))))
(fma.f64 eps eps (fma.f64 -1/2 (.f64 eps (.f64 eps (.f64 x x))) (.f64 (.f64 eps eps) (.f64 (pow.f64 x 4) 1/24))))
(+.f64 (pow.f64 eps 2) (+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (pow.f64 x 2))) (+.f64 (.f64 -1/720 (.f64 (pow.f64 eps 2) (pow.f64 x 6))) (.f64 1/24 (.f64 (pow.f64 eps 2) (pow.f64 x 4))))))
(+.f64 (.f64 eps eps) (fma.f64 -1/2 (.f64 (.f64 x x) (.f64 eps eps)) (fma.f64 -1/720 (.f64 (pow.f64 x 6) (.f64 eps eps)) (.f64 1/24 (.f64 (pow.f64 x 4) (*.f64 eps eps))))))
(fma.f64 eps eps (fma.f64 -1/2 (.f64 eps (.f64 eps (.f64 x x))) (fma.f64 -1/720 (.f64 eps (.f64 eps (pow.f64 x 6))) (.f64 (.f64 eps eps) (.f64 (pow.f64 x 4) 1/24)))))
(*.f64 (cos.f64 x) (pow.f64 eps 2))
(.f64 (cos.f64 x) (.f64 eps eps))
(.f64 eps (.f64 eps (cos.f64 x)))
(*.f64 (cos.f64 x) (pow.f64 eps 2))
(.f64 (cos.f64 x) (.f64 eps eps))
(.f64 eps (.f64 eps (cos.f64 x)))
(*.f64 (cos.f64 x) (pow.f64 eps 2))
(.f64 (cos.f64 x) (.f64 eps eps))
(.f64 eps (.f64 eps (cos.f64 x)))
(*.f64 (cos.f64 x) (pow.f64 eps 2))
(.f64 (cos.f64 x) (.f64 eps eps))
(.f64 eps (.f64 eps (cos.f64 x)))
(*.f64 (pow.f64 eps 2) (cos.f64 x))
(.f64 (cos.f64 x) (.f64 eps eps))
(.f64 eps (.f64 eps (cos.f64 x)))
(*.f64 (pow.f64 eps 2) (cos.f64 x))
(.f64 (cos.f64 x) (.f64 eps eps))
(.f64 eps (.f64 eps (cos.f64 x)))
(*.f64 (pow.f64 eps 2) (cos.f64 x))
(.f64 (cos.f64 x) (.f64 eps eps))
(.f64 eps (.f64 eps (cos.f64 x)))
(*.f64 (pow.f64 eps 2) (cos.f64 x))
(.f64 (cos.f64 x) (.f64 eps eps))
(.f64 eps (.f64 eps (cos.f64 x)))
(*.f64 (cos.f64 x) (pow.f64 eps 2))
(.f64 (cos.f64 x) (.f64 eps eps))
(.f64 eps (.f64 eps (cos.f64 x)))
(*.f64 (cos.f64 x) (pow.f64 eps 2))
(.f64 (cos.f64 x) (.f64 eps eps))
(.f64 eps (.f64 eps (cos.f64 x)))
(*.f64 (cos.f64 x) (pow.f64 eps 2))
(.f64 (cos.f64 x) (.f64 eps eps))
(.f64 eps (.f64 eps (cos.f64 x)))
(*.f64 (cos.f64 x) (pow.f64 eps 2))
(.f64 (cos.f64 x) (.f64 eps eps))
(.f64 eps (.f64 eps (cos.f64 x)))
(*.f64 (cos.f64 x) (pow.f64 eps 2))
(.f64 (cos.f64 x) (.f64 eps eps))
(.f64 eps (.f64 eps (cos.f64 x)))
(*.f64 (cos.f64 x) (pow.f64 eps 2))
(.f64 (cos.f64 x) (.f64 eps eps))
(.f64 eps (.f64 eps (cos.f64 x)))
(*.f64 (cos.f64 x) (pow.f64 eps 2))
(.f64 (cos.f64 x) (.f64 eps eps))
(.f64 eps (.f64 eps (cos.f64 x)))
(*.f64 (cos.f64 x) (pow.f64 eps 2))
(.f64 (cos.f64 x) (.f64 eps eps))
(.f64 eps (.f64 eps (cos.f64 x)))
(*.f64 (cos.f64 x) (pow.f64 eps 2))
(.f64 (cos.f64 x) (.f64 eps eps))
(.f64 eps (.f64 eps (cos.f64 x)))
(*.f64 (cos.f64 x) (pow.f64 eps 2))
(.f64 (cos.f64 x) (.f64 eps eps))
(.f64 eps (.f64 eps (cos.f64 x)))
(*.f64 (cos.f64 x) (pow.f64 eps 2))
(.f64 (cos.f64 x) (.f64 eps eps))
(.f64 eps (.f64 eps (cos.f64 x)))
(*.f64 (cos.f64 x) (pow.f64 eps 2))
(.f64 (cos.f64 x) (.f64 eps eps))
(.f64 eps (.f64 eps (cos.f64 x)))
(*.f64 -1/2 (pow.f64 eps 2))
(.f64 eps (.f64 eps -1/2))
(+.f64 (.f64 -1 (.f64 eps x)) (*.f64 -1/2 (pow.f64 eps 2)))
(fma.f64 -1 (.f64 eps x) (.f64 eps (*.f64 eps -1/2)))
(-.f64 (.f64 eps (.f64 eps -1/2)) (*.f64 eps x))
(+.f64 (.f64 -1 (.f64 eps x)) (+.f64 (.f64 -1/2 (pow.f64 eps 2)) (.f64 1/4 (*.f64 (pow.f64 eps 2) (pow.f64 x 2)))))
(fma.f64 -1 (.f64 eps x) (fma.f64 -1/2 (.f64 eps eps) (.f64 (.f64 (.f64 x x) (.f64 eps eps)) 1/4)))
(-.f64 (fma.f64 eps (.f64 eps -1/2) (.f64 (.f64 x x) (.f64 (.f64 1/4 eps) eps))) (.f64 eps x))
(+.f64 (.f64 -1 (.f64 eps x)) (+.f64 (.f64 -1/2 (pow.f64 eps 2)) (+.f64 (.f64 1/6 (.f64 eps (pow.f64 x 3))) (.f64 1/4 (*.f64 (pow.f64 eps 2) (pow.f64 x 2))))))
(fma.f64 -1 (.f64 eps x) (fma.f64 -1/2 (.f64 eps eps) (fma.f64 1/6 (.f64 eps (pow.f64 x 3)) (.f64 (.f64 (.f64 x x) (*.f64 eps eps)) 1/4))))
(-.f64 (fma.f64 eps (.f64 eps -1/2) (fma.f64 (.f64 eps 1/6) (pow.f64 x 3) (.f64 (.f64 x x) (.f64 (.f64 1/4 eps) eps)))) (*.f64 eps x))
(-.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 eps (sin.f64 x)))
(fma.f64 (cos.f64 x) (.f64 eps (.f64 eps -1/2)) (*.f64 (neg.f64 eps) (sin.f64 x)))
(.f64 eps (fma.f64 -1/2 (.f64 eps (cos.f64 x)) (neg.f64 (sin.f64 x))))
(-.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 eps (sin.f64 x)))
(fma.f64 (cos.f64 x) (.f64 eps (.f64 eps -1/2)) (*.f64 (neg.f64 eps) (sin.f64 x)))
(.f64 eps (fma.f64 -1/2 (.f64 eps (cos.f64 x)) (neg.f64 (sin.f64 x))))
(-.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 eps (sin.f64 x)))
(fma.f64 (cos.f64 x) (.f64 eps (.f64 eps -1/2)) (*.f64 (neg.f64 eps) (sin.f64 x)))
(.f64 eps (fma.f64 -1/2 (.f64 eps (cos.f64 x)) (neg.f64 (sin.f64 x))))
(-.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 eps (sin.f64 x)))
(fma.f64 (cos.f64 x) (.f64 eps (.f64 eps -1/2)) (*.f64 (neg.f64 eps) (sin.f64 x)))
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(fma.f64 (cos.f64 x) (.f64 eps (.f64 eps -1/2)) (*.f64 (neg.f64 eps) (sin.f64 x)))
(.f64 eps (fma.f64 -1/2 (.f64 eps (cos.f64 x)) (neg.f64 (sin.f64 x))))
(pow.f64 (sqrt.f64 (.f64 eps (-.f64 (.f64 (*.f64 -1/2 eps) (cos.f64 x)) (sin.f64 x)))) 2)
(fma.f64 (cos.f64 x) (.f64 eps (.f64 eps -1/2)) (*.f64 (neg.f64 eps) (sin.f64 x)))
(.f64 eps (fma.f64 -1/2 (.f64 eps (cos.f64 x)) (neg.f64 (sin.f64 x))))
(pow.f64 (cbrt.f64 (.f64 eps (-.f64 (.f64 (*.f64 -1/2 eps) (cos.f64 x)) (sin.f64 x)))) 3)
(fma.f64 (cos.f64 x) (.f64 eps (.f64 eps -1/2)) (*.f64 (neg.f64 eps) (sin.f64 x)))
(.f64 eps (fma.f64 -1/2 (.f64 eps (cos.f64 x)) (neg.f64 (sin.f64 x))))
(pow.f64 (pow.f64 (.f64 eps (-.f64 (.f64 (*.f64 -1/2 eps) (cos.f64 x)) (sin.f64 x))) 3) 1/3)
(fma.f64 (cos.f64 x) (.f64 eps (.f64 eps -1/2)) (*.f64 (neg.f64 eps) (sin.f64 x)))
(.f64 eps (fma.f64 -1/2 (.f64 eps (cos.f64 x)) (neg.f64 (sin.f64 x))))
(neg.f64 (/.f64 (-.f64 (.f64 1/4 (pow.f64 (.f64 (cos.f64 x) (.f64 eps eps)) 2)) (pow.f64 (.f64 eps (sin.f64 x)) 2)) (.f64 (neg.f64 eps) (+.f64 (sin.f64 x) (.f64 (*.f64 -1/2 eps) (cos.f64 x))))))
(/.f64 (neg.f64 (fma.f64 1/4 (pow.f64 (.f64 (cos.f64 x) (.f64 eps eps)) 2) (neg.f64 (pow.f64 (.f64 eps (sin.f64 x)) 2)))) (.f64 (neg.f64 eps) (+.f64 (sin.f64 x) (.f64 -1/2 (.f64 eps (cos.f64 x))))))
(/.f64 (+.f64 (.f64 (pow.f64 (.f64 eps (.f64 eps (cos.f64 x))) 2) -1/4) (pow.f64 (.f64 eps (sin.f64 x)) 2)) (.f64 (neg.f64 eps) (fma.f64 -1/2 (.f64 eps (cos.f64 x)) (sin.f64 x))))
(neg.f64 (/.f64 (.f64 (pow.f64 eps 3) (-.f64 (pow.f64 (.f64 (.f64 -1/2 eps) (cos.f64 x)) 3) (pow.f64 (sin.f64 x) 3))) (neg.f64 (+.f64 (.f64 1/4 (pow.f64 (.f64 (cos.f64 x) (.f64 eps eps)) 2)) (.f64 (.f64 eps (sin.f64 x)) (.f64 eps (+.f64 (sin.f64 x) (.f64 (*.f64 -1/2 eps) (cos.f64 x)))))))))
(/.f64 (.f64 (pow.f64 eps 3) (-.f64 (pow.f64 (.f64 -1/2 (.f64 eps (cos.f64 x))) 3) (pow.f64 (sin.f64 x) 3))) (fma.f64 1/4 (pow.f64 (.f64 (cos.f64 x) (.f64 eps eps)) 2) (.f64 (.f64 eps (.f64 eps (sin.f64 x))) (+.f64 (sin.f64 x) (.f64 -1/2 (.f64 eps (cos.f64 x)))))))
(.f64 (pow.f64 eps 3) (/.f64 (-.f64 (.f64 -1/8 (pow.f64 (.f64 eps (cos.f64 x)) 3)) (pow.f64 (sin.f64 x) 3)) (fma.f64 1/4 (pow.f64 (.f64 eps (.f64 eps (cos.f64 x))) 2) (.f64 (fma.f64 -1/2 (.f64 eps (cos.f64 x)) (sin.f64 x)) (.f64 eps (*.f64 eps (sin.f64 x)))))))
(sqrt.f64 (pow.f64 (.f64 eps (-.f64 (.f64 (*.f64 -1/2 eps) (cos.f64 x)) (sin.f64 x))) 2))
(sqrt.f64 (pow.f64 (.f64 eps (-.f64 (.f64 -1/2 (*.f64 eps (cos.f64 x))) (sin.f64 x))) 2))
(fabs.f64 (.f64 eps (fma.f64 -1/2 (.f64 eps (cos.f64 x)) (neg.f64 (sin.f64 x)))))
(log.f64 (exp.f64 (.f64 eps (-.f64 (.f64 (*.f64 -1/2 eps) (cos.f64 x)) (sin.f64 x)))))
(fma.f64 (cos.f64 x) (.f64 eps (.f64 eps -1/2)) (*.f64 (neg.f64 eps) (sin.f64 x)))
(.f64 eps (fma.f64 -1/2 (.f64 eps (cos.f64 x)) (neg.f64 (sin.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 eps (-.f64 (.f64 (*.f64 -1/2 eps) (cos.f64 x)) (sin.f64 x))))))
(fma.f64 (cos.f64 x) (.f64 eps (.f64 eps -1/2)) (*.f64 (neg.f64 eps) (sin.f64 x)))
(.f64 eps (fma.f64 -1/2 (.f64 eps (cos.f64 x)) (neg.f64 (sin.f64 x))))
(cbrt.f64 (pow.f64 (.f64 eps (-.f64 (.f64 (*.f64 -1/2 eps) (cos.f64 x)) (sin.f64 x))) 3))
(fma.f64 (cos.f64 x) (.f64 eps (.f64 eps -1/2)) (*.f64 (neg.f64 eps) (sin.f64 x)))
(.f64 eps (fma.f64 -1/2 (.f64 eps (cos.f64 x)) (neg.f64 (sin.f64 x))))
(expm1.f64 (log1p.f64 (.f64 eps (-.f64 (.f64 (*.f64 -1/2 eps) (cos.f64 x)) (sin.f64 x)))))
(fma.f64 (cos.f64 x) (.f64 eps (.f64 eps -1/2)) (*.f64 (neg.f64 eps) (sin.f64 x)))
(.f64 eps (fma.f64 -1/2 (.f64 eps (cos.f64 x)) (neg.f64 (sin.f64 x))))
(exp.f64 (log.f64 (.f64 eps (-.f64 (.f64 (*.f64 -1/2 eps) (cos.f64 x)) (sin.f64 x)))))
(fma.f64 (cos.f64 x) (.f64 eps (.f64 eps -1/2)) (*.f64 (neg.f64 eps) (sin.f64 x)))
(.f64 eps (fma.f64 -1/2 (.f64 eps (cos.f64 x)) (neg.f64 (sin.f64 x))))
(exp.f64 (.f64 (log.f64 (.f64 eps (-.f64 (.f64 (.f64 -1/2 eps) (cos.f64 x)) (sin.f64 x)))) 1))
(fma.f64 (cos.f64 x) (.f64 eps (.f64 eps -1/2)) (*.f64 (neg.f64 eps) (sin.f64 x)))
(.f64 eps (fma.f64 -1/2 (.f64 eps (cos.f64 x)) (neg.f64 (sin.f64 x))))
(log1p.f64 (expm1.f64 (.f64 eps (-.f64 (.f64 (*.f64 -1/2 eps) (cos.f64 x)) (sin.f64 x)))))
(fma.f64 (cos.f64 x) (.f64 eps (.f64 eps -1/2)) (*.f64 (neg.f64 eps) (sin.f64 x)))
(.f64 eps (fma.f64 -1/2 (.f64 eps (cos.f64 x)) (neg.f64 (sin.f64 x))))
(fma.f64 (.f64 (cos.f64 x) (.f64 eps eps)) -1/2 (*.f64 eps (neg.f64 (sin.f64 x))))
(fma.f64 (cos.f64 x) (.f64 eps (.f64 eps -1/2)) (*.f64 (neg.f64 eps) (sin.f64 x)))
(.f64 eps (fma.f64 -1/2 (.f64 eps (cos.f64 x)) (neg.f64 (sin.f64 x))))
(fma.f64 -1/2 (.f64 (cos.f64 x) (.f64 eps eps)) (*.f64 eps (neg.f64 (sin.f64 x))))
(fma.f64 (cos.f64 x) (.f64 eps (.f64 eps -1/2)) (*.f64 (neg.f64 eps) (sin.f64 x)))
(.f64 eps (fma.f64 -1/2 (.f64 eps (cos.f64 x)) (neg.f64 (sin.f64 x))))
(fma.f64 1 (.f64 (cos.f64 x) (.f64 (.f64 eps eps) -1/2)) (.f64 eps (neg.f64 (sin.f64 x))))
(fma.f64 (cos.f64 x) (.f64 eps (.f64 eps -1/2)) (*.f64 (neg.f64 eps) (sin.f64 x)))
(.f64 eps (fma.f64 -1/2 (.f64 eps (cos.f64 x)) (neg.f64 (sin.f64 x))))
(fma.f64 1 (.f64 eps (-.f64 (.f64 (.f64 -1/2 eps) (cos.f64 x)) (sin.f64 x))) (.f64 (*.f64 eps (sin.f64 x)) 0))
(fma.f64 (cos.f64 x) (.f64 eps (.f64 eps -1/2)) (*.f64 (neg.f64 eps) (sin.f64 x)))
(.f64 eps (fma.f64 -1/2 (.f64 eps (cos.f64 x)) (neg.f64 (sin.f64 x))))
(fma.f64 (.f64 (sqrt.f64 -1/2) (.f64 (sqrt.f64 (cos.f64 x)) eps)) (.f64 (sqrt.f64 -1/2) (.f64 (sqrt.f64 (cos.f64 x)) eps)) (*.f64 eps (neg.f64 (sin.f64 x))))
(fma.f64 (.f64 (.f64 eps (sqrt.f64 (cos.f64 x))) (sqrt.f64 -1/2)) (.f64 (.f64 eps (sqrt.f64 (cos.f64 x))) (sqrt.f64 -1/2)) (*.f64 (neg.f64 eps) (sin.f64 x)))
(-.f64 (.f64 (pow.f64 (.f64 eps (sqrt.f64 (cos.f64 x))) 2) (.f64 (sqrt.f64 -1/2) (sqrt.f64 -1/2))) (.f64 eps (sin.f64 x)))
(fma.f64 (sqrt.f64 (.f64 eps (-.f64 (.f64 (.f64 -1/2 eps) (cos.f64 x)) (sin.f64 x)))) (sqrt.f64 (.f64 eps (-.f64 (.f64 (.f64 -1/2 eps) (cos.f64 x)) (sin.f64 x)))) (.f64 (.f64 eps (sin.f64 x)) 0))
(fma.f64 (cos.f64 x) (.f64 eps (.f64 eps -1/2)) (*.f64 (neg.f64 eps) (sin.f64 x)))
(.f64 eps (fma.f64 -1/2 (.f64 eps (cos.f64 x)) (neg.f64 (sin.f64 x))))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 x) (.f64 (.f64 eps eps) -1/2))) 2) (cbrt.f64 (.f64 (cos.f64 x) (.f64 (.f64 eps eps) -1/2))) (*.f64 eps (neg.f64 (sin.f64 x))))
(fma.f64 (cos.f64 x) (.f64 eps (.f64 eps -1/2)) (*.f64 (neg.f64 eps) (sin.f64 x)))
(.f64 eps (fma.f64 -1/2 (.f64 eps (cos.f64 x)) (neg.f64 (sin.f64 x))))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 eps (-.f64 (.f64 (.f64 -1/2 eps) (cos.f64 x)) (sin.f64 x)))) 2) (cbrt.f64 (.f64 eps (-.f64 (.f64 (.f64 -1/2 eps) (cos.f64 x)) (sin.f64 x)))) (.f64 (.f64 eps (sin.f64 x)) 0))
(fma.f64 (cos.f64 x) (.f64 eps (.f64 eps -1/2)) (*.f64 (neg.f64 eps) (sin.f64 x)))
(.f64 eps (fma.f64 -1/2 (.f64 eps (cos.f64 x)) (neg.f64 (sin.f64 x))))
(fma.f64 (.f64 (.f64 -1/2 eps) (cos.f64 x)) eps (*.f64 eps (neg.f64 (sin.f64 x))))
(fma.f64 (cos.f64 x) (.f64 eps (.f64 eps -1/2)) (*.f64 (neg.f64 eps) (sin.f64 x)))
(.f64 eps (fma.f64 -1/2 (.f64 eps (cos.f64 x)) (neg.f64 (sin.f64 x))))

localize18.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 -1/2 (.f64 eps eps))
✓	0.0b	(-.f64 (.f64 (cos.f64 x) (.f64 -1/2 (.f64 eps eps))) (.f64 (sin.f64 x) (sin.f64 eps)))
✓	0.1b	(.f64 (cos.f64 x) (.f64 -1/2 (*.f64 eps eps)))
	0.2b	(*.f64 (sin.f64 x) (sin.f64 eps))

Compiler

Compiled 46 to 17 computations (63% saved)

series2.0ms (0%)

Counts

3 → 60

Calls

15 calls:

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

rewrite134.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

864×	`distribute-rgt-in`
844×	`associate-*r/`
802×	`distribute-lft-in`
648×	`associate-*l/`
410×	`associate-+l+`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	79
1	304	79
2	4080	79

Stop Event

1×	node limit

Counts

3 → 230

Calls

Call 1

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

Outputs

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

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

simplify248.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1748×	`associate-+r-`
1576×	`fma-def`
782×	`associate-r`
682×	`associate-l`
590×	`fma-neg`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	587	24612
1	1663	22396
2	7749	22396

Stop Event

1×	node limit

Counts

290 → 348

Calls

Call 1

Inputs
(*.f64 -1/2 (pow.f64 eps 2))
(+.f64 (.f64 -1/2 (pow.f64 eps 2)) (.f64 1/4 (*.f64 (pow.f64 eps 2) (pow.f64 x 2))))
(+.f64 (.f64 -1/48 (.f64 (pow.f64 eps 2) (pow.f64 x 4))) (+.f64 (.f64 -1/2 (pow.f64 eps 2)) (.f64 1/4 (*.f64 (pow.f64 eps 2) (pow.f64 x 2)))))
(+.f64 (.f64 -1/48 (.f64 (pow.f64 eps 2) (pow.f64 x 4))) (+.f64 (.f64 -1/2 (pow.f64 eps 2)) (+.f64 (.f64 1/1440 (.f64 (pow.f64 eps 2) (pow.f64 x 6))) (.f64 1/4 (*.f64 (pow.f64 eps 2) (pow.f64 x 2))))))
(.f64 -1/2 (.f64 (cos.f64 x) (pow.f64 eps 2)))
(.f64 -1/2 (.f64 (cos.f64 x) (pow.f64 eps 2)))
(.f64 -1/2 (.f64 (cos.f64 x) (pow.f64 eps 2)))
(.f64 -1/2 (.f64 (cos.f64 x) (pow.f64 eps 2)))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(*.f64 -1/2 (pow.f64 eps 2))
(+.f64 (.f64 -1/2 (pow.f64 eps 2)) (.f64 -1 (*.f64 x (sin.f64 eps))))
(+.f64 (.f64 -1/2 (pow.f64 eps 2)) (+.f64 (.f64 -1 (.f64 x (sin.f64 eps))) (.f64 1/4 (*.f64 (pow.f64 eps 2) (pow.f64 x 2)))))
(+.f64 (.f64 -1/2 (pow.f64 eps 2)) (+.f64 (.f64 1/6 (.f64 (pow.f64 x 3) (sin.f64 eps))) (+.f64 (.f64 -1 (.f64 x (sin.f64 eps))) (.f64 1/4 (*.f64 (pow.f64 eps 2) (pow.f64 x 2))))))
(-.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 (sin.f64 x) (sin.f64 eps)))
(-.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 (sin.f64 x) (sin.f64 eps)))
(-.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 (sin.f64 x) (sin.f64 eps)))
(-.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 (sin.f64 x) (sin.f64 eps)))
(-.f64 (.f64 -1/2 (.f64 (cos.f64 x) (pow.f64 eps 2))) (*.f64 (sin.f64 x) (sin.f64 eps)))
(-.f64 (.f64 -1/2 (.f64 (cos.f64 x) (pow.f64 eps 2))) (*.f64 (sin.f64 x) (sin.f64 eps)))
(-.f64 (.f64 -1/2 (.f64 (cos.f64 x) (pow.f64 eps 2))) (*.f64 (sin.f64 x) (sin.f64 eps)))
(-.f64 (.f64 -1/2 (.f64 (cos.f64 x) (pow.f64 eps 2))) (*.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 1/6 (.f64 (pow.f64 eps 3) (sin.f64 x))) (+.f64 (.f64 -1/120 (.f64 (pow.f64 eps 5) (sin.f64 x))) (+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (.f64 -1 (.f64 eps (sin.f64 x))))))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(+.f64 (.f64 -1 (.f64 (sin.f64 x) (sin.f64 eps))) (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))))
(+.f64 (.f64 -1 (.f64 (sin.f64 x) (sin.f64 eps))) (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))))
(+.f64 (.f64 -1 (.f64 (sin.f64 x) (sin.f64 eps))) (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(+.f64 (.f64 -1 (.f64 (sin.f64 x) (sin.f64 eps))) (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))))
(+.f64 (.f64 -1 (.f64 (sin.f64 x) (sin.f64 eps))) (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))))
(+.f64 (.f64 -1 (.f64 (sin.f64 x) (sin.f64 eps))) (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))))
(*.f64 -1/2 (pow.f64 eps 2))
(*.f64 -1/2 (pow.f64 eps 2))
(*.f64 -1/2 (pow.f64 eps 2))
(*.f64 -1/2 (pow.f64 eps 2))
(*.f64 -1/2 (pow.f64 eps 2))
(*.f64 -1/2 (pow.f64 eps 2))
(*.f64 -1/2 (pow.f64 eps 2))
(*.f64 -1/2 (pow.f64 eps 2))
(*.f64 -1/2 (pow.f64 eps 2))
(*.f64 -1/2 (pow.f64 eps 2))
(*.f64 -1/2 (pow.f64 eps 2))
(*.f64 -1/2 (pow.f64 eps 2))
(-.f64 (exp.f64 (log1p.f64 (.f64 (cos.f64 x) (.f64 -1/2 (*.f64 eps eps))))) 1)
(pow.f64 (.f64 (cos.f64 x) (.f64 -1/2 (*.f64 eps eps))) 1)
(pow.f64 (.f64 (sqrt.f64 (.f64 (cos.f64 x) -1/2)) eps) 2)
(pow.f64 (cbrt.f64 (.f64 (cos.f64 x) (.f64 -1/2 (*.f64 eps eps)))) 3)
(pow.f64 (pow.f64 (.f64 (cos.f64 x) (.f64 -1/2 (*.f64 eps eps))) 3) 1/3)
(sqrt.f64 (pow.f64 (.f64 (cos.f64 x) (.f64 -1/2 (*.f64 eps eps))) 2))
(log.f64 (pow.f64 (exp.f64 (cos.f64 x)) (.f64 -1/2 (.f64 eps eps))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (cos.f64 x) (.f64 -1/2 (*.f64 eps eps))))))
(cbrt.f64 (pow.f64 (.f64 (cos.f64 x) (.f64 -1/2 (*.f64 eps eps))) 3))
(expm1.f64 (log1p.f64 (.f64 (cos.f64 x) (.f64 -1/2 (*.f64 eps eps)))))
(exp.f64 (log.f64 (.f64 (cos.f64 x) (.f64 -1/2 (*.f64 eps eps)))))
(exp.f64 (.f64 (log.f64 (.f64 (cos.f64 x) (.f64 -1/2 (.f64 eps eps)))) 1))
(log1p.f64 (expm1.f64 (.f64 (cos.f64 x) (.f64 -1/2 (*.f64 eps eps)))))
(+.f64 (.f64 (cos.f64 x) (.f64 -1/2 (.f64 eps eps))) (neg.f64 (.f64 (sin.f64 x) (sin.f64 eps))))
(+.f64 (.f64 (cos.f64 x) (.f64 -1/2 (.f64 eps eps))) (+.f64 (neg.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)))))
(+.f64 (.f64 (cos.f64 x) (.f64 -1/2 (.f64 eps eps))) (.f64 (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps))) 1))
(+.f64 (.f64 (cos.f64 x) (.f64 -1/2 (.f64 eps eps))) (+.f64 (+.f64 (neg.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 (neg.f64 (sin.f64 eps)) (sin.f64 x) (.f64 (sin.f64 x) (sin.f64 eps)))))
(+.f64 (.f64 (cos.f64 x) (.f64 -1/2 (.f64 eps eps))) (+.f64 (.f64 (neg.f64 (.f64 (sin.f64 x) (sin.f64 eps))) 1) (fma.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x) (.f64 (sin.f64 x) (sin.f64 eps)))))
(+.f64 (.f64 (cos.f64 x) (.f64 -1/2 (.f64 eps eps))) (+.f64 (neg.f64 (.f64 (sin.f64 x) (sin.f64 eps))) (.f64 2 (fma.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x) (.f64 (sin.f64 x) (sin.f64 eps))))))
(+.f64 (.f64 (cos.f64 x) (.f64 -1/2 (.f64 eps eps))) (+.f64 (+.f64 (neg.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)))) (.f64 2 (fma.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))))))
(+.f64 (.f64 (cos.f64 x) (.f64 -1/2 (.f64 eps eps))) (+.f64 (.f64 (neg.f64 (.f64 (sin.f64 x) (sin.f64 eps))) 1) (.f64 2 (fma.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))))))
(+.f64 (.f64 (cos.f64 x) (.f64 -1/2 (.f64 eps eps))) (+.f64 (neg.f64 (.f64 (sin.f64 x) (sin.f64 eps))) (.f64 (fma.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x) (.f64 (sin.f64 x) (sin.f64 eps))) 1)))
(+.f64 (.f64 (cos.f64 x) (.f64 -1/2 (.f64 eps eps))) (+.f64 (+.f64 (neg.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)))) (.f64 (fma.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))) 1)))
(+.f64 (.f64 (cos.f64 x) (.f64 -1/2 (.f64 eps eps))) (+.f64 (.f64 (neg.f64 (.f64 (sin.f64 x) (sin.f64 eps))) 1) (.f64 (fma.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))) 1)))
(+.f64 (.f64 (cos.f64 x) (.f64 -1/2 (.f64 eps eps))) (+.f64 (neg.f64 (.f64 (sin.f64 x) (sin.f64 eps))) (fma.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps) (*.f64 (sin.f64 x) (sin.f64 eps)))))
(+.f64 (.f64 (cos.f64 x) (.f64 -1/2 (.f64 eps eps))) (+.f64 (+.f64 (neg.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 (neg.f64 (sin.f64 x)) (sin.f64 eps) (.f64 (sin.f64 x) (sin.f64 eps)))))
(+.f64 (.f64 (cos.f64 x) (.f64 -1/2 (.f64 eps eps))) (+.f64 (.f64 (neg.f64 (.f64 (sin.f64 x) (sin.f64 eps))) 1) (fma.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps) (.f64 (sin.f64 x) (sin.f64 eps)))))
(+.f64 (.f64 (cos.f64 x) (.f64 -1/2 (.f64 eps eps))) (+.f64 (neg.f64 (.f64 (sin.f64 x) (sin.f64 eps))) (fma.f64 (neg.f64 (.f64 (sin.f64 x) (sin.f64 eps))) 1 (.f64 (sin.f64 x) (sin.f64 eps)))))
(+.f64 (.f64 (cos.f64 x) (.f64 -1/2 (.f64 eps eps))) (+.f64 (+.f64 (neg.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 (neg.f64 (.f64 (sin.f64 x) (sin.f64 eps))) 1 (*.f64 (sin.f64 x) (sin.f64 eps)))))
(+.f64 (.f64 (cos.f64 x) (.f64 -1/2 (.f64 eps eps))) (+.f64 (.f64 (neg.f64 (.f64 (sin.f64 x) (sin.f64 eps))) 1) (fma.f64 (neg.f64 (.f64 (sin.f64 x) (sin.f64 eps))) 1 (*.f64 (sin.f64 x) (sin.f64 eps)))))
(+.f64 (.f64 (cos.f64 x) (.f64 -1/2 (.f64 eps eps))) (+.f64 (neg.f64 (.f64 (sin.f64 x) (sin.f64 eps))) (fma.f64 (neg.f64 (sqrt.f64 (.f64 (sin.f64 x) (sin.f64 eps)))) (sqrt.f64 (.f64 (sin.f64 x) (sin.f64 eps))) (*.f64 (sin.f64 x) (sin.f64 eps)))))
(+.f64 (.f64 (cos.f64 x) (.f64 -1/2 (.f64 eps eps))) (+.f64 (+.f64 (neg.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 (neg.f64 (sqrt.f64 (.f64 (sin.f64 x) (sin.f64 eps)))) (sqrt.f64 (.f64 (sin.f64 x) (sin.f64 eps))) (.f64 (sin.f64 x) (sin.f64 eps)))))
(+.f64 (.f64 (cos.f64 x) (.f64 -1/2 (.f64 eps eps))) (+.f64 (.f64 (neg.f64 (.f64 (sin.f64 x) (sin.f64 eps))) 1) (fma.f64 (neg.f64 (sqrt.f64 (.f64 (sin.f64 x) (sin.f64 eps)))) (sqrt.f64 (.f64 (sin.f64 x) (sin.f64 eps))) (.f64 (sin.f64 x) (sin.f64 eps)))))
(+.f64 (.f64 (cos.f64 x) (.f64 -1/2 (.f64 eps eps))) (+.f64 (neg.f64 (.f64 (sin.f64 x) (sin.f64 eps))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 (sin.f64 x) (sin.f64 eps)))) (pow.f64 (cbrt.f64 (.f64 (sin.f64 x) (sin.f64 eps))) 2) (*.f64 (sin.f64 x) (sin.f64 eps)))))
(+.f64 (.f64 (cos.f64 x) (.f64 -1/2 (.f64 eps eps))) (+.f64 (+.f64 (neg.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 (neg.f64 (cbrt.f64 (.f64 (sin.f64 x) (sin.f64 eps)))) (pow.f64 (cbrt.f64 (.f64 (sin.f64 x) (sin.f64 eps))) 2) (.f64 (sin.f64 x) (sin.f64 eps)))))
(+.f64 (.f64 (cos.f64 x) (.f64 -1/2 (.f64 eps eps))) (+.f64 (.f64 (neg.f64 (.f64 (sin.f64 x) (sin.f64 eps))) 1) (fma.f64 (neg.f64 (cbrt.f64 (.f64 (sin.f64 x) (sin.f64 eps)))) (pow.f64 (cbrt.f64 (.f64 (sin.f64 x) (sin.f64 eps))) 2) (.f64 (sin.f64 x) (sin.f64 eps)))))
(+.f64 (.f64 (cos.f64 x) (.f64 -1/2 (.f64 eps eps))) (.f64 1 (+.f64 (neg.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))))))
(+.f64 (.f64 (cos.f64 x) (.f64 -1/2 (.f64 eps eps))) (.f64 1 (.f64 (neg.f64 (.f64 (sin.f64 x) (sin.f64 eps))) 1)))
(+.f64 (.f64 (cos.f64 x) (.f64 -1/2 (.f64 eps eps))) (.f64 (+.f64 (neg.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)))) 1))
(+.f64 (.f64 (cos.f64 x) (.f64 -1/2 (.f64 eps eps))) (.f64 (.f64 (neg.f64 (.f64 (sin.f64 x) (sin.f64 eps))) 1) 1))
(+.f64 (-.f64 (.f64 (cos.f64 x) (.f64 -1/2 (.f64 eps eps))) (.f64 (sin.f64 x) (sin.f64 eps))) (fma.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))))
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(/.f64 (.f64 (sqrt.f64 (-.f64 (pow.f64 (.f64 (cos.f64 x) (.f64 -1/2 (.f64 eps eps))) 2) (pow.f64 (.f64 (sin.f64 x) (sin.f64 eps)) 2))) (sqrt.f64 (-.f64 (.f64 (cos.f64 x) (.f64 -1/2 (.f64 eps eps))) (.f64 (sin.f64 x) (sin.f64 eps))))) (sqrt.f64 (fma.f64 (cos.f64 x) (.f64 -1/2 (.f64 eps eps)) (.f64 (sin.f64 x) (sin.f64 eps)))))
(/.f64 (.f64 (cbrt.f64 (-.f64 (pow.f64 (.f64 (cos.f64 x) (.f64 -1/2 (.f64 eps eps))) 3) (pow.f64 (.f64 (sin.f64 x) (sin.f64 eps)) 3))) (pow.f64 (cbrt.f64 (-.f64 (.f64 (cos.f64 x) (.f64 -1/2 (.f64 eps eps))) (.f64 (sin.f64 x) (sin.f64 eps)))) 2)) (cbrt.f64 (+.f64 (pow.f64 (.f64 (cos.f64 x) (.f64 -1/2 (.f64 eps eps))) 2) (.f64 (.f64 (sin.f64 x) (sin.f64 eps)) (fma.f64 (cos.f64 x) (.f64 -1/2 (.f64 eps eps)) (*.f64 (sin.f64 x) (sin.f64 eps)))))))
(/.f64 (.f64 (cbrt.f64 (-.f64 (pow.f64 (.f64 (cos.f64 x) (.f64 -1/2 (.f64 eps eps))) 2) (pow.f64 (.f64 (sin.f64 x) (sin.f64 eps)) 2))) (pow.f64 (cbrt.f64 (-.f64 (.f64 (cos.f64 x) (.f64 -1/2 (.f64 eps eps))) (.f64 (sin.f64 x) (sin.f64 eps)))) 2)) (cbrt.f64 (fma.f64 (cos.f64 x) (.f64 -1/2 (.f64 eps eps)) (.f64 (sin.f64 x) (sin.f64 eps)))))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 (.f64 (cos.f64 x) (.f64 -1/2 (.f64 eps eps))) 2) (pow.f64 (.f64 (cos.f64 x) (.f64 -1/2 (.f64 eps eps))) 2)) (.f64 (pow.f64 (.f64 (sin.f64 x) (sin.f64 eps)) 2) (pow.f64 (.f64 (sin.f64 x) (sin.f64 eps)) 2))) (/.f64 1 (fma.f64 (cos.f64 x) (.f64 -1/2 (.f64 eps eps)) (.f64 (sin.f64 x) (sin.f64 eps))))) (+.f64 (pow.f64 (.f64 (sin.f64 x) (sin.f64 eps)) 2) (pow.f64 (.f64 (cos.f64 x) (.f64 -1/2 (.f64 eps eps))) 2)))
(/.f64 (.f64 (-.f64 (pow.f64 (pow.f64 (.f64 (cos.f64 x) (.f64 -1/2 (.f64 eps eps))) 2) 3) (pow.f64 (pow.f64 (.f64 (sin.f64 x) (sin.f64 eps)) 2) 3)) (/.f64 1 (fma.f64 (cos.f64 x) (.f64 -1/2 (.f64 eps eps)) (.f64 (sin.f64 x) (sin.f64 eps))))) (+.f64 (.f64 (pow.f64 (.f64 (cos.f64 x) (.f64 -1/2 (.f64 eps eps))) 2) (pow.f64 (.f64 (cos.f64 x) (.f64 -1/2 (.f64 eps eps))) 2)) (+.f64 (.f64 (pow.f64 (.f64 (sin.f64 x) (sin.f64 eps)) 2) (pow.f64 (.f64 (sin.f64 x) (sin.f64 eps)) 2)) (.f64 (pow.f64 (.f64 (cos.f64 x) (.f64 -1/2 (.f64 eps eps))) 2) (pow.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) 2)))))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 (.f64 (cos.f64 x) (.f64 -1/2 (.f64 eps eps))) 3) (pow.f64 (.f64 (cos.f64 x) (.f64 -1/2 (.f64 eps eps))) 3)) (.f64 (pow.f64 (.f64 (sin.f64 x) (sin.f64 eps)) 3) (pow.f64 (.f64 (sin.f64 x) (sin.f64 eps)) 3))) (/.f64 1 (+.f64 (pow.f64 (.f64 (cos.f64 x) (.f64 -1/2 (.f64 eps eps))) 2) (.f64 (.f64 (sin.f64 x) (sin.f64 eps)) (fma.f64 (cos.f64 x) (.f64 -1/2 (.f64 eps eps)) (.f64 (sin.f64 x) (sin.f64 eps))))))) (+.f64 (pow.f64 (.f64 (cos.f64 x) (.f64 -1/2 (.f64 eps eps))) 3) (pow.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) 3)))
(/.f64 (.f64 (-.f64 (pow.f64 (pow.f64 (.f64 (cos.f64 x) (.f64 -1/2 (.f64 eps eps))) 3) 3) (pow.f64 (pow.f64 (.f64 (sin.f64 x) (sin.f64 eps)) 3) 3)) (/.f64 1 (+.f64 (pow.f64 (.f64 (cos.f64 x) (.f64 -1/2 (.f64 eps eps))) 2) (.f64 (.f64 (sin.f64 x) (sin.f64 eps)) (fma.f64 (cos.f64 x) (.f64 -1/2 (.f64 eps eps)) (.f64 (sin.f64 x) (sin.f64 eps))))))) (+.f64 (.f64 (pow.f64 (.f64 (cos.f64 x) (.f64 -1/2 (.f64 eps eps))) 3) (pow.f64 (.f64 (cos.f64 x) (.f64 -1/2 (.f64 eps eps))) 3)) (+.f64 (.f64 (pow.f64 (.f64 (sin.f64 x) (sin.f64 eps)) 3) (pow.f64 (.f64 (sin.f64 x) (sin.f64 eps)) 3)) (.f64 (pow.f64 (.f64 (cos.f64 x) (.f64 -1/2 (.f64 eps eps))) 3) (pow.f64 (.f64 (sin.f64 x) (sin.f64 eps)) 3)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 x) (.f64 -1/2 (.f64 eps eps))) 2) (pow.f64 (.f64 (sin.f64 x) (sin.f64 eps)) 2)) 1) (fma.f64 (cos.f64 x) (.f64 -1/2 (.f64 eps eps)) (*.f64 (sin.f64 x) (sin.f64 eps))))
(/.f64 (/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 x) (.f64 -1/2 (.f64 eps eps))) 2) (pow.f64 (.f64 (sin.f64 x) (sin.f64 eps)) 2)) (sqrt.f64 (fma.f64 (cos.f64 x) (.f64 -1/2 (.f64 eps eps)) (.f64 (sin.f64 x) (sin.f64 eps))))) (sqrt.f64 (fma.f64 (cos.f64 x) (.f64 -1/2 (.f64 eps eps)) (.f64 (sin.f64 x) (sin.f64 eps)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 x) (.f64 -1/2 (.f64 eps eps))) 2) (pow.f64 (.f64 (sin.f64 x) (sin.f64 eps)) 2)) (.f64 (cbrt.f64 (fma.f64 (cos.f64 x) (.f64 -1/2 (.f64 eps eps)) (.f64 (sin.f64 x) (sin.f64 eps)))) (cbrt.f64 (fma.f64 (cos.f64 x) (.f64 -1/2 (.f64 eps eps)) (.f64 (sin.f64 x) (sin.f64 eps)))))) (cbrt.f64 (fma.f64 (cos.f64 x) (.f64 -1/2 (.f64 eps eps)) (.f64 (sin.f64 x) (sin.f64 eps)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 x) (.f64 -1/2 (.f64 eps eps))) 3) (pow.f64 (.f64 (sin.f64 x) (sin.f64 eps)) 3)) 1) (+.f64 (pow.f64 (.f64 (cos.f64 x) (.f64 -1/2 (.f64 eps eps))) 2) (.f64 (.f64 (sin.f64 x) (sin.f64 eps)) (fma.f64 (cos.f64 x) (.f64 -1/2 (.f64 eps eps)) (.f64 (sin.f64 x) (sin.f64 eps))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 x) (.f64 -1/2 (.f64 eps eps))) 3) (pow.f64 (.f64 (sin.f64 x) (sin.f64 eps)) 3)) (sqrt.f64 (+.f64 (pow.f64 (.f64 (cos.f64 x) (.f64 -1/2 (.f64 eps eps))) 2) (.f64 (.f64 (sin.f64 x) (sin.f64 eps)) (fma.f64 (cos.f64 x) (.f64 -1/2 (.f64 eps eps)) (.f64 (sin.f64 x) (sin.f64 eps))))))) (sqrt.f64 (+.f64 (pow.f64 (.f64 (cos.f64 x) (.f64 -1/2 (.f64 eps eps))) 2) (.f64 (.f64 (sin.f64 x) (sin.f64 eps)) (fma.f64 (cos.f64 x) (.f64 -1/2 (.f64 eps eps)) (.f64 (sin.f64 x) (sin.f64 eps)))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 x) (.f64 -1/2 (.f64 eps eps))) 3) (pow.f64 (.f64 (sin.f64 x) (sin.f64 eps)) 3)) (.f64 (cbrt.f64 (+.f64 (pow.f64 (.f64 (cos.f64 x) (.f64 -1/2 (.f64 eps eps))) 2) (.f64 (.f64 (sin.f64 x) (sin.f64 eps)) (fma.f64 (cos.f64 x) (.f64 -1/2 (.f64 eps eps)) (.f64 (sin.f64 x) (sin.f64 eps)))))) (cbrt.f64 (+.f64 (pow.f64 (.f64 (cos.f64 x) (.f64 -1/2 (.f64 eps eps))) 2) (.f64 (.f64 (sin.f64 x) (sin.f64 eps)) (fma.f64 (cos.f64 x) (.f64 -1/2 (.f64 eps eps)) (.f64 (sin.f64 x) (sin.f64 eps)))))))) (cbrt.f64 (+.f64 (pow.f64 (.f64 (cos.f64 x) (.f64 -1/2 (.f64 eps eps))) 2) (.f64 (.f64 (sin.f64 x) (sin.f64 eps)) (fma.f64 (cos.f64 x) (.f64 -1/2 (.f64 eps eps)) (*.f64 (sin.f64 x) (sin.f64 eps)))))))
(pow.f64 (-.f64 (.f64 (cos.f64 x) (.f64 -1/2 (.f64 eps eps))) (.f64 (sin.f64 x) (sin.f64 eps))) 1)
(pow.f64 (sqrt.f64 (-.f64 (.f64 (cos.f64 x) (.f64 -1/2 (.f64 eps eps))) (.f64 (sin.f64 x) (sin.f64 eps)))) 2)
(pow.f64 (cbrt.f64 (-.f64 (.f64 (cos.f64 x) (.f64 -1/2 (.f64 eps eps))) (.f64 (sin.f64 x) (sin.f64 eps)))) 3)
(pow.f64 (pow.f64 (-.f64 (.f64 (cos.f64 x) (.f64 -1/2 (.f64 eps eps))) (.f64 (sin.f64 x) (sin.f64 eps))) 3) 1/3)
(sqrt.f64 (pow.f64 (-.f64 (.f64 (cos.f64 x) (.f64 -1/2 (.f64 eps eps))) (.f64 (sin.f64 x) (sin.f64 eps))) 2))
(log.f64 (exp.f64 (-.f64 (.f64 (cos.f64 x) (.f64 -1/2 (.f64 eps eps))) (.f64 (sin.f64 x) (sin.f64 eps)))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (.f64 (cos.f64 x) (.f64 -1/2 (.f64 eps eps))) (.f64 (sin.f64 x) (sin.f64 eps))))))
(cbrt.f64 (pow.f64 (-.f64 (.f64 (cos.f64 x) (.f64 -1/2 (.f64 eps eps))) (.f64 (sin.f64 x) (sin.f64 eps))) 3))
(expm1.f64 (log1p.f64 (-.f64 (.f64 (cos.f64 x) (.f64 -1/2 (.f64 eps eps))) (.f64 (sin.f64 x) (sin.f64 eps)))))
(exp.f64 (log.f64 (-.f64 (.f64 (cos.f64 x) (.f64 -1/2 (.f64 eps eps))) (.f64 (sin.f64 x) (sin.f64 eps)))))
(exp.f64 (.f64 (log.f64 (-.f64 (.f64 (cos.f64 x) (.f64 -1/2 (.f64 eps eps))) (*.f64 (sin.f64 x) (sin.f64 eps)))) 1))
(log1p.f64 (expm1.f64 (-.f64 (.f64 (cos.f64 x) (.f64 -1/2 (.f64 eps eps))) (.f64 (sin.f64 x) (sin.f64 eps)))))
(fma.f64 (cos.f64 x) (.f64 -1/2 (.f64 eps eps)) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps))))
(fma.f64 (.f64 -1/2 (.f64 eps eps)) (cos.f64 x) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps))))
(fma.f64 1 (.f64 (cos.f64 x) (.f64 -1/2 (.f64 eps eps))) (neg.f64 (.f64 (sin.f64 x) (sin.f64 eps))))
(fma.f64 1 (-.f64 (.f64 (cos.f64 x) (.f64 -1/2 (.f64 eps eps))) (.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 (sqrt.f64 (-.f64 (.f64 (cos.f64 x) (.f64 -1/2 (.f64 eps eps))) (.f64 (sin.f64 x) (sin.f64 eps)))) (sqrt.f64 (-.f64 (.f64 (cos.f64 x) (.f64 -1/2 (.f64 eps eps))) (.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 (.f64 (sqrt.f64 (.f64 (cos.f64 x) -1/2)) eps) (.f64 (sqrt.f64 (.f64 (cos.f64 x) -1/2)) eps) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps))))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 (cos.f64 x) (.f64 -1/2 (.f64 eps eps))) (.f64 (sin.f64 x) (sin.f64 eps)))) 2) (cbrt.f64 (-.f64 (.f64 (cos.f64 x) (.f64 -1/2 (.f64 eps eps))) (.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 (pow.f64 (cbrt.f64 (.f64 (cos.f64 x) (.f64 -1/2 (.f64 eps eps)))) 2) (cbrt.f64 (.f64 (cos.f64 x) (.f64 -1/2 (.f64 eps eps)))) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps))))
(fma.f64 (.f64 (cos.f64 x) -1/2) (.f64 eps eps) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps))))
(-.f64 (exp.f64 (log1p.f64 (.f64 -1/2 (.f64 eps eps)))) 1)
(pow.f64 (.f64 -1/2 (.f64 eps eps)) 1)
(pow.f64 (*.f64 eps (sqrt.f64 -1/2)) 2)
(pow.f64 (cbrt.f64 (.f64 -1/2 (.f64 eps eps))) 3)
(pow.f64 (pow.f64 (.f64 -1/2 (.f64 eps eps)) 3) 1/3)
(sqrt.f64 (*.f64 (pow.f64 eps 4) 1/4))
(log.f64 (pow.f64 (pow.f64 (exp.f64 eps) eps) -1/2))
(log.f64 (+.f64 1 (expm1.f64 (.f64 -1/2 (.f64 eps eps)))))
(cbrt.f64 (pow.f64 (.f64 -1/2 (.f64 eps eps)) 3))
(expm1.f64 (log1p.f64 (.f64 -1/2 (.f64 eps eps))))
(exp.f64 (log.f64 (.f64 -1/2 (.f64 eps eps))))
(exp.f64 (.f64 (log.f64 (.f64 -1/2 (*.f64 eps eps))) 1))
(log1p.f64 (expm1.f64 (.f64 -1/2 (.f64 eps eps))))

Outputs
(*.f64 -1/2 (pow.f64 eps 2))
(.f64 -1/2 (.f64 eps eps))
(+.f64 (.f64 -1/2 (pow.f64 eps 2)) (.f64 1/4 (*.f64 (pow.f64 eps 2) (pow.f64 x 2))))
(fma.f64 -1/2 (.f64 eps eps) (.f64 1/4 (.f64 (.f64 eps eps) (*.f64 x x))))
(fma.f64 -1/2 (.f64 eps eps) (.f64 (.f64 eps eps) (.f64 (*.f64 x x) 1/4)))
(+.f64 (.f64 -1/48 (.f64 (pow.f64 eps 2) (pow.f64 x 4))) (+.f64 (.f64 -1/2 (pow.f64 eps 2)) (.f64 1/4 (*.f64 (pow.f64 eps 2) (pow.f64 x 2)))))
(fma.f64 -1/48 (.f64 (.f64 eps eps) (pow.f64 x 4)) (fma.f64 -1/2 (.f64 eps eps) (.f64 1/4 (.f64 (.f64 eps eps) (*.f64 x x)))))
(fma.f64 -1/48 (.f64 eps (.f64 eps (pow.f64 x 4))) (fma.f64 -1/2 (.f64 eps eps) (.f64 (.f64 eps eps) (.f64 (*.f64 x x) 1/4))))
(+.f64 (.f64 -1/48 (.f64 (pow.f64 eps 2) (pow.f64 x 4))) (+.f64 (.f64 -1/2 (pow.f64 eps 2)) (+.f64 (.f64 1/1440 (.f64 (pow.f64 eps 2) (pow.f64 x 6))) (.f64 1/4 (*.f64 (pow.f64 eps 2) (pow.f64 x 2))))))
(fma.f64 -1/48 (.f64 (.f64 eps eps) (pow.f64 x 4)) (fma.f64 -1/2 (.f64 eps eps) (fma.f64 1/1440 (.f64 (.f64 eps eps) (pow.f64 x 6)) (.f64 1/4 (.f64 (.f64 eps eps) (*.f64 x x))))))
(fma.f64 -1/48 (.f64 eps (.f64 eps (pow.f64 x 4))) (fma.f64 -1/2 (.f64 eps eps) (fma.f64 1/4 (.f64 eps (.f64 eps (.f64 x x))) (.f64 (.f64 eps eps) (*.f64 (pow.f64 x 6) 1/1440)))))
(.f64 -1/2 (.f64 (cos.f64 x) (pow.f64 eps 2)))
(.f64 (.f64 -1/2 (cos.f64 x)) (*.f64 eps eps))
(.f64 (.f64 eps eps) (*.f64 -1/2 (cos.f64 x)))
(.f64 -1/2 (.f64 (cos.f64 x) (pow.f64 eps 2)))
(.f64 (.f64 -1/2 (cos.f64 x)) (*.f64 eps eps))
(.f64 (.f64 eps eps) (*.f64 -1/2 (cos.f64 x)))
(.f64 -1/2 (.f64 (cos.f64 x) (pow.f64 eps 2)))
(.f64 (.f64 -1/2 (cos.f64 x)) (*.f64 eps eps))
(.f64 (.f64 eps eps) (*.f64 -1/2 (cos.f64 x)))
(.f64 -1/2 (.f64 (cos.f64 x) (pow.f64 eps 2)))
(.f64 (.f64 -1/2 (cos.f64 x)) (*.f64 eps eps))
(.f64 (.f64 eps eps) (*.f64 -1/2 (cos.f64 x)))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(.f64 (.f64 -1/2 (cos.f64 x)) (*.f64 eps eps))
(.f64 (.f64 eps eps) (*.f64 -1/2 (cos.f64 x)))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(.f64 (.f64 -1/2 (cos.f64 x)) (*.f64 eps eps))
(.f64 (.f64 eps eps) (*.f64 -1/2 (cos.f64 x)))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(.f64 (.f64 -1/2 (cos.f64 x)) (*.f64 eps eps))
(.f64 (.f64 eps eps) (*.f64 -1/2 (cos.f64 x)))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(.f64 (.f64 -1/2 (cos.f64 x)) (*.f64 eps eps))
(.f64 (.f64 eps eps) (*.f64 -1/2 (cos.f64 x)))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(.f64 (.f64 -1/2 (cos.f64 x)) (*.f64 eps eps))
(.f64 (.f64 eps eps) (*.f64 -1/2 (cos.f64 x)))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(.f64 (.f64 -1/2 (cos.f64 x)) (*.f64 eps eps))
(.f64 (.f64 eps eps) (*.f64 -1/2 (cos.f64 x)))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(.f64 (.f64 -1/2 (cos.f64 x)) (*.f64 eps eps))
(.f64 (.f64 eps eps) (*.f64 -1/2 (cos.f64 x)))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(.f64 (.f64 -1/2 (cos.f64 x)) (*.f64 eps eps))
(.f64 (.f64 eps eps) (*.f64 -1/2 (cos.f64 x)))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(.f64 (.f64 -1/2 (cos.f64 x)) (*.f64 eps eps))
(.f64 (.f64 eps eps) (*.f64 -1/2 (cos.f64 x)))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(.f64 (.f64 -1/2 (cos.f64 x)) (*.f64 eps eps))
(.f64 (.f64 eps eps) (*.f64 -1/2 (cos.f64 x)))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(.f64 (.f64 -1/2 (cos.f64 x)) (*.f64 eps eps))
(.f64 (.f64 eps eps) (*.f64 -1/2 (cos.f64 x)))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(.f64 (.f64 -1/2 (cos.f64 x)) (*.f64 eps eps))
(.f64 (.f64 eps eps) (*.f64 -1/2 (cos.f64 x)))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(.f64 (.f64 -1/2 (cos.f64 x)) (*.f64 eps eps))
(.f64 (.f64 eps eps) (*.f64 -1/2 (cos.f64 x)))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(.f64 (.f64 -1/2 (cos.f64 x)) (*.f64 eps eps))
(.f64 (.f64 eps eps) (*.f64 -1/2 (cos.f64 x)))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(.f64 (.f64 -1/2 (cos.f64 x)) (*.f64 eps eps))
(.f64 (.f64 eps eps) (*.f64 -1/2 (cos.f64 x)))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(.f64 (.f64 -1/2 (cos.f64 x)) (*.f64 eps eps))
(.f64 (.f64 eps eps) (*.f64 -1/2 (cos.f64 x)))
(*.f64 -1/2 (pow.f64 eps 2))
(.f64 -1/2 (.f64 eps eps))
(+.f64 (.f64 -1/2 (pow.f64 eps 2)) (.f64 -1 (*.f64 x (sin.f64 eps))))
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(.f64 -1/2 (.f64 eps eps))
(exp.f64 (.f64 (log.f64 (.f64 -1/2 (*.f64 eps eps))) 1))
(.f64 -1/2 (.f64 eps eps))
(log1p.f64 (expm1.f64 (.f64 -1/2 (.f64 eps eps))))
(.f64 -1/2 (.f64 eps eps))

localize38.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 1 (-.f64 (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x)))
✓	0.1b	(/.f64 1 (/.f64 1 (-.f64 (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))))
	0.2b	(*.f64 (sin.f64 x) (sin.f64 eps))
✓	2.8b	(-.f64 (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))

Compiler

Compiled 82 to 17 computations (79.3% saved)

series5.0ms (0%)

Counts

3 → 72

Calls

18 calls:

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

rewrite160.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

808×	`associate-/r*`
772×	`associate-+l+`
622×	`associate-/l*`
364×	`add-sqr-sqrt`
356×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	141
1	360	69
2	4859	69

Stop Event

1×	node limit

Counts

3 → 461

Calls

Call 1

Inputs

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

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

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

Outputs

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

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

simplify224.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

982×	`fma-def`
944×	`+-commutative`
752×	`associate-+r+`
744×	`associate-+l+`
482×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	808	32455
1	2247	30363

Stop Event

1×	node limit

Counts

533 → 484

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))))))
(-.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))))
(.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 1 (-.f64 (cos.f64 eps) 1))
(+.f64 (/.f64 1 (-.f64 (cos.f64 eps) 1)) (/.f64 (*.f64 (sin.f64 eps) x) (pow.f64 (-.f64 (cos.f64 eps) 1) 2)))
(+.f64 (/.f64 (.f64 x (sin.f64 eps)) (pow.f64 (-.f64 (cos.f64 eps) 1) 2)) (+.f64 (/.f64 1 (-.f64 (cos.f64 eps) 1)) (.f64 -1 (.f64 (+.f64 (.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (-.f64 (cos.f64 eps) 1) 3))) (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 (-.f64 (cos.f64 eps) 1) 2))) (.f64 -1/2 (/.f64 (cos.f64 eps) (pow.f64 (-.f64 (cos.f64 eps) 1) 2))))) (pow.f64 x 2)))))
(+.f64 (/.f64 (.f64 x (sin.f64 eps)) (pow.f64 (-.f64 (cos.f64 eps) 1) 2)) (+.f64 (/.f64 1 (-.f64 (cos.f64 eps) 1)) (+.f64 (.f64 -1 (.f64 (+.f64 (/.f64 (.f64 (+.f64 (.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (-.f64 (cos.f64 eps) 1) 3))) (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 (-.f64 (cos.f64 eps) 1) 2))) (.f64 -1/2 (/.f64 (cos.f64 eps) (pow.f64 (-.f64 (cos.f64 eps) 1) 2))))) (sin.f64 eps)) (-.f64 (cos.f64 eps) 1)) (+.f64 (.f64 1/6 (/.f64 (sin.f64 eps) (pow.f64 (-.f64 (cos.f64 eps) 1) 2))) (/.f64 (.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))) (sin.f64 eps)) (pow.f64 (-.f64 (cos.f64 eps) 1) 3)))) (pow.f64 x 3))) (.f64 -1 (.f64 (+.f64 (.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (-.f64 (cos.f64 eps) 1) 3))) (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 (-.f64 (cos.f64 eps) 1) 2))) (*.f64 -1/2 (/.f64 (cos.f64 eps) (pow.f64 (-.f64 (cos.f64 eps) 1) 2))))) (pow.f64 x 2))))))
(/.f64 1 (-.f64 (.f64 (cos.f64 eps) (cos.f64 x)) (+.f64 (cos.f64 x) (.f64 (sin.f64 x) (sin.f64 eps)))))
(/.f64 1 (-.f64 (.f64 (cos.f64 eps) (cos.f64 x)) (+.f64 (cos.f64 x) (.f64 (sin.f64 x) (sin.f64 eps)))))
(/.f64 1 (-.f64 (.f64 (cos.f64 eps) (cos.f64 x)) (+.f64 (cos.f64 x) (.f64 (sin.f64 x) (sin.f64 eps)))))
(/.f64 1 (-.f64 (.f64 (cos.f64 eps) (cos.f64 x)) (+.f64 (cos.f64 x) (.f64 (sin.f64 x) (sin.f64 eps)))))
(/.f64 1 (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (.f64 (sin.f64 x) (sin.f64 eps)))))
(/.f64 1 (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (.f64 (sin.f64 x) (sin.f64 eps)))))
(/.f64 1 (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (.f64 (sin.f64 x) (sin.f64 eps)))))
(/.f64 1 (-.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 (cos.f64 x) (pow.f64 (sin.f64 x) 2))) (/.f64 1 (.f64 eps (sin.f64 x))))
(-.f64 (+.f64 (.f64 -1 (.f64 eps (+.f64 (.f64 1/6 (/.f64 1 (sin.f64 x))) (.f64 1/4 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 3)))))) (.f64 1/2 (/.f64 (cos.f64 x) (pow.f64 (sin.f64 x) 2)))) (/.f64 1 (.f64 eps (sin.f64 x))))
(-.f64 (+.f64 (.f64 -1 (.f64 eps (+.f64 (.f64 1/6 (/.f64 1 (sin.f64 x))) (.f64 1/4 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 3)))))) (+.f64 (.f64 1/2 (/.f64 (cos.f64 x) (pow.f64 (sin.f64 x) 2))) (.f64 -1 (.f64 (pow.f64 eps 2) (+.f64 (.f64 1/24 (/.f64 (cos.f64 x) (pow.f64 (sin.f64 x) 2))) (+.f64 (.f64 -1/12 (/.f64 (cos.f64 x) (pow.f64 (sin.f64 x) 2))) (.f64 -1/2 (/.f64 (.f64 (cos.f64 x) (+.f64 (.f64 1/6 (/.f64 1 (sin.f64 x))) (.f64 1/4 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 3))))) (sin.f64 x))))))))) (/.f64 1 (.f64 eps (sin.f64 x))))
(/.f64 1 (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (.f64 (sin.f64 x) (sin.f64 eps)))))
(/.f64 1 (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (.f64 (sin.f64 x) (sin.f64 eps)))))
(/.f64 1 (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (.f64 (sin.f64 x) (sin.f64 eps)))))
(/.f64 1 (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (.f64 (sin.f64 x) (sin.f64 eps)))))
(/.f64 1 (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (.f64 (sin.f64 x) (sin.f64 eps)))))
(/.f64 1 (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (.f64 (sin.f64 x) (sin.f64 eps)))))
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(.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 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 x) (cos.f64 (+.f64 x eps)))))))
(*.f64 -1 (neg.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
(*.f64 (+.f64 (sqrt.f64 (cos.f64 (+.f64 x eps))) (sqrt.f64 (cos.f64 x))) (-.f64 (sqrt.f64 (cos.f64 (+.f64 x eps))) (sqrt.f64 (cos.f64 x))))
(*.f64 (pow.f64 (pow.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) -1/2) -1) (pow.f64 (pow.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) -1/2) -1))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) -2)) -1) (pow.f64 (/.f64 1 (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))) -1))
(pow.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 1)
(pow.f64 (/.f64 1 (-.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))))
(exp.f64 (*.f64 (log.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))) -1))
(log1p.f64 (expm1.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))))
(fma.f64 (cos.f64 eps) (cos.f64 x) (neg.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))))
(fma.f64 1 (*.f64 (cos.f64 x) (cos.f64 eps)) (neg.f64 (fma.f64 (sin.f64 x) (sin.f64 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 (sqrt.f64 (.f64 (cos.f64 x) (cos.f64 eps))) (sqrt.f64 (.f64 (cos.f64 x) (cos.f64 eps))) (neg.f64 (fma.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)))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 x) (cos.f64 eps))) 2) (cbrt.f64 (.f64 (cos.f64 x) (cos.f64 eps))) (neg.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))) 1)
(*.f64 1 (/.f64 1 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
(*.f64 (/.f64 1 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 1)
(*.f64 (pow.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) -1/2) (pow.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) -1/2))
(*.f64 (/.f64 1 (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))) (cbrt.f64 (pow.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) -2)))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) -2)) (/.f64 1 (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))))
(*.f64 -1 (/.f64 -1 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
(*.f64 (/.f64 1 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))))
(.f64 (/.f64 1 (-.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 x) (cos.f64 (+.f64 x eps))))))
(*.f64 (pow.f64 (sqrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) -1) (pow.f64 (sqrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) -1))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 2) -1) (pow.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) -1))
(pow.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) -1)
(pow.f64 (/.f64 1 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 1)
(pow.f64 (pow.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) -1/2) 2)
(pow.f64 (/.f64 1 (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))) 3)
(pow.f64 (pow.f64 (/.f64 1 (-.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 1 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))))
(cbrt.f64 (pow.f64 (/.f64 1 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 3))
(expm1.f64 (log1p.f64 (/.f64 1 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))))
(exp.f64 (neg.f64 (log.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))))
(exp.f64 (*.f64 (log.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) -1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))) 1))
(log1p.f64 (expm1.f64 (/.f64 1 (-.f64 (cos.f64 (+.f64 x eps)) (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 -1 (-.f64 (cos.f64 eps) (*.f64 x (sin.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 (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 (.f64 x (.f64 x (fma.f64 (cos.f64 eps) -1/2 1/2))) (.f64 (sin.f64 eps) (+.f64 (.f64 1/6 (pow.f64 x 3)) (neg.f64 x)))) -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 x) (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 (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 x) (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 (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 x) (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 (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 x) (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 (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 x) (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 (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 x) (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 (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 x) (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 (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 x) (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 -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 (cos.f64 x) (.f64 eps eps)) (neg.f64 (*.f64 eps (sin.f64 x))))
(-.f64 (.f64 (.f64 eps eps) (.f64 (cos.f64 x) -1/2)) (.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 1/6 (.f64 (sin.f64 x) (pow.f64 eps 3)) (.f64 (.f64 eps eps) (.f64 (cos.f64 x) -1/2))) (*.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))))))
(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 (cos.f64 x) -1/2))) (.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 eps) (cos.f64 x)) (fma.f64 (sin.f64 x) (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 (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 x) (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 (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 x) (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 (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 x) (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 (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 x) (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 (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 x) (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 (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 x) (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 (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 x) (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 (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 -1 (-.f64 (cos.f64 eps) (*.f64 x (sin.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 (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 (.f64 x (.f64 x (fma.f64 (cos.f64 eps) -1/2 1/2))) (.f64 (sin.f64 eps) (+.f64 (.f64 1/6 (pow.f64 x 3)) (neg.f64 x)))) -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 x) (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 (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 x) (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 (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 x) (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 (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 x) (sin.f64 eps) (cos.f64 x)))
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(*.f64 (/.f64 1 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))))
(/.f64 1 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(.f64 (/.f64 1 (-.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 x) (cos.f64 (+.f64 x eps))))))
(/.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)) 3) (pow.f64 (cos.f64 x) 3)))
(/.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 (pow.f64 (sqrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) -1) (pow.f64 (sqrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) -1))
(/.f64 1 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 2) -1) (pow.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) -1))
(/.f64 1 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(pow.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) -1)
(/.f64 1 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(pow.f64 (/.f64 1 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 1)
(/.f64 1 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(pow.f64 (pow.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) -1/2) 2)
(/.f64 1 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(pow.f64 (/.f64 1 (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))) 3)
(/.f64 1 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(pow.f64 (pow.f64 (/.f64 1 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 3) 1/3)
(/.f64 1 (-.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))
(log.f64 (exp.f64 (/.f64 1 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))))
(/.f64 1 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))))
(/.f64 1 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(cbrt.f64 (pow.f64 (/.f64 1 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 3))
(/.f64 1 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(expm1.f64 (log1p.f64 (/.f64 1 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))))
(/.f64 1 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(exp.f64 (neg.f64 (log.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))))
(/.f64 1 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(exp.f64 (*.f64 (log.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) -1))
(/.f64 1 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(exp.f64 (*.f64 (neg.f64 (log.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))) 1))
(/.f64 1 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(log1p.f64 (expm1.f64 (/.f64 1 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))))
(/.f64 1 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))

eval607.0ms (3.2%)

Compiler: Compiled 55646 to 21860 computations (60.7% saved)

prune682.0ms (3.6%)

Pruning

86 alts after pruning (79 fresh and 7 done)

	Pruned	Kept	Total
New	1758	26	1784
Fresh	8	53	61
Picked	0	1	1
Done	2	6	8
Total	1768	86	1854

Error

0.0b

Counts

1854 → 86

Alt Table

Click to see full alt table

Status	Error	Program
	6.6b	(fma.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x) (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))))
	24.7b	(fma.f64 (cos.f64 x) (log.f64 (exp.f64 (cos.f64 eps))) (fma.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)) (neg.f64 (cos.f64 x))))
	24.6b	(fma.f64 (cos.f64 x) (cos.f64 eps) (fma.f64 (sin.f64 x) (neg.f64 (log1p.f64 (expm1.f64 (sin.f64 eps)))) (neg.f64 (cos.f64 x))))
	24.6b	(fma.f64 (cos.f64 x) (cos.f64 eps) (-.f64 (neg.f64 (*.f64 (sin.f64 eps) (sin.f64 x))) (cos.f64 x)))
	37.6b	(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (cos.f64 x)))
	38.4b	(fma.f64 (cos.f64 x) (cos.f64 eps) -1)
	49.4b	(fma.f64 1/24 (pow.f64 eps 4) (.f64 (.f64 eps eps) -1/2))
	53.9b	(pow.f64 (pow.f64 (-.f64 (.f64 (cos.f64 x) (.f64 -1/2 (.f64 eps eps))) (.f64 (sin.f64 x) (sin.f64 eps))) 3) 1/3)
	38.6b	(pow.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 3)
	61.7b	(pow.f64 (cbrt.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))) 3)
	38.4b	(pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 3)
	30.5b	(pow.f64 (cbrt.f64 (.f64 eps (-.f64 (.f64 (*.f64 -1/2 eps) (cos.f64 x)) (sin.f64 x)))) 3)
	49.2b	(pow.f64 (cbrt.f64 (.f64 eps (.f64 eps -1/2))) 3)
	50.5b	(/.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1) 2)
	38.3b	(/.f64 (+.f64 (+.f64 (.f64 1/2 (cos.f64 (.f64 eps 2))) 1/2) -1) (-.f64 (cos.f64 eps) -1))
	38.4b	(/.f64 (+.f64 (cbrt.f64 (pow.f64 (cos.f64 eps) 6)) -1) (-.f64 (cos.f64 eps) -1))
	32.7b	(/.f64 (*.f64 (sin.f64 eps) (sin.f64 eps)) (-.f64 -1 (cos.f64 eps)))
	14.1b	(/.f64 1 (/.f64 (/.f64 -1/2 (sin.f64 (.f64 1/2 (fma.f64 2 x eps)))) (sin.f64 (.f64 1/2 (+.f64 eps (-.f64 x x))))))
✓	24.6b	(/.f64 1 (/.f64 1 (-.f64 (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))))
	38.3b	(/.f64 1 (/.f64 1 (-.f64 (cos.f64 eps) (cos.f64 x))))
	38.2b	(/.f64 1 (/.f64 1 (-.f64 (cos.f64 eps) 1)))
	32.7b	(/.f64 1 (/.f64 -1/2 (.f64 (sin.f64 (.f64 1/2 (+.f64 x (-.f64 eps x)))) (sin.f64 (*.f64 1/2 (+.f64 eps (+.f64 x x)))))))
	36.1b	(/.f64 1 (/.f64 -1 (*.f64 eps (sin.f64 x))))
	38.9b	(/.f64 1 (-.f64 (*.f64 1/2 (/.f64 (cos.f64 x) (pow.f64 (sin.f64 x) 2))) (/.f64 (/.f64 1 eps) (sin.f64 x))))
	6.6b	(-.f64 (/.f64 (+.f64 -1 (cos.f64 eps)) (/.f64 1 (cos.f64 x))) (*.f64 (sin.f64 x) (sin.f64 eps)))
	6.6b	(-.f64 (/.f64 (cos.f64 x) (/.f64 1 (+.f64 -1 (cos.f64 eps)))) (*.f64 (sin.f64 x) (sin.f64 eps)))
	24.6b	(-.f64 (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))
	6.6b	(-.f64 (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (cos.f64 x)) (.f64 (sin.f64 x) (sin.f64 eps)))
	38.2b	(-.f64 (+.f64 (cos.f64 eps) 1) 2)
	36.2b	(-.f64 (+.f64 (cos.f64 eps) -1) (*.f64 x (sin.f64 eps)))
	54.5b	(-.f64 (+.f64 1 (.f64 eps (.f64 eps -1/2))) 1)
✓	0.6b	(-.f64 (.f64 (/.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))) (pow.f64 (sin.f64 eps) 2)) (.f64 (sin.f64 x) (sin.f64 eps)))
	30.2b	(-.f64 (.f64 (/.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))) (pow.f64 (sin.f64 eps) 2)) (.f64 (sin.f64 eps) x))
	15.5b	(-.f64 (.f64 (/.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))) (pow.f64 (sin.f64 eps) 2)) (cbrt.f64 (pow.f64 (.f64 (sin.f64 x) (sin.f64 eps)) 3)))
	6.8b	(-.f64 (.f64 (/.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))) (-.f64 1/2 (/.f64 (cos.f64 (+.f64 eps eps)) 2))) (.f64 (sin.f64 x) (sin.f64 eps)))
	29.9b	(-.f64 (.f64 (cos.f64 x) (fma.f64 1/24 (pow.f64 eps 4) (.f64 -1/2 (.f64 eps eps)))) (.f64 (sin.f64 x) (sin.f64 eps)))
	6.6b	(-.f64 (.f64 (cos.f64 x) (-.f64 (+.f64 (cos.f64 eps) 1) 2)) (.f64 (sin.f64 x) (sin.f64 eps)))
	24.6b	(-.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (-.f64 (exp.f64 (log1p.f64 (.f64 (sin.f64 x) (sin.f64 eps)))) 1))
✓	6.6b	(-.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 (sin.f64 x) (sin.f64 eps)))
	24.7b	(-.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 (sin.f64 x) (log.f64 (exp.f64 (sin.f64 eps)))))
	36.1b	(-.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 (sin.f64 eps) x))
	29.3b	(-.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 eps (sin.f64 x)))
	24.7b	(-.f64 (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (log.f64 (pow.f64 (exp.f64 (sin.f64 eps)) (sin.f64 x))))
	32.6b	(-.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (exp.f64 (log.f64 (.f64 (sin.f64 x) (sin.f64 eps)))))
	30.1b	(-.f64 (.f64 (cos.f64 x) (.f64 -1/2 (.f64 eps eps))) (.f64 (sin.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3)))))
✓	29.9b	(-.f64 (.f64 (cos.f64 x) (.f64 -1/2 (.f64 eps eps))) (.f64 (sin.f64 x) (sin.f64 eps)))
	45.6b	(-.f64 (.f64 (cos.f64 x) (.f64 -1/2 (.f64 eps eps))) (.f64 (sin.f64 eps) x))
	24.6b	(-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (.f64 (sin.f64 x) (sin.f64 eps))))
	45.6b	(-.f64 (.f64 eps (.f64 eps -1/2)) (*.f64 eps x))
	45.6b	(-.f64 (.f64 -1/2 (.f64 eps eps)) (*.f64 x (sin.f64 eps)))
	30.3b	(-.f64 (.f64 -1/2 (.f64 eps eps)) (*.f64 eps (sin.f64 x)))
	6.7b	(-.f64 (log.f64 (exp.f64 (.f64 (cos.f64 x) (+.f64 -1 (cos.f64 eps))))) (.f64 (sin.f64 x) (sin.f64 eps)))
	44.5b	(-.f64 (fabs.f64 (cos.f64 (+.f64 eps x))) 1)
	54.0b	(-.f64 (fabs.f64 (cos.f64 x)) (cos.f64 x))
	44.3b	(-.f64 (fabs.f64 (cos.f64 eps)) (cos.f64 x))
	61.7b	(-.f64 (exp.f64 (log1p.f64 (cos.f64 x))) (-.f64 1 (cos.f64 (+.f64 x eps))))
✓	38.3b	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
	54.8b	(-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))
	38.3b	(-.f64 (cos.f64 eps) (cos.f64 x))
✓	38.2b	(-.f64 (cos.f64 eps) 1)
	38.4b	(-.f64 (cbrt.f64 (pow.f64 (cos.f64 eps) 3)) 1)
✓	54.7b	(-.f64 1 1)
	30.1b	(+.f64 (-.f64 (.f64 (.f64 -1/2 (cos.f64 x)) (.f64 eps eps)) (.f64 (sin.f64 eps) (sin.f64 x))) (.f64 (fma.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x) (.f64 (sin.f64 eps) (sin.f64 x))) 4))
	40.4b	(+.f64 (-.f64 (.f64 (cos.f64 eps) (+.f64 (.f64 -1/2 (.f64 x x)) 1)) (.f64 x (sin.f64 eps))) (neg.f64 (cos.f64 x)))
	19.0b	(+.f64 (-.f64 (cos.f64 eps) 1) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	19.5b	(+.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))))
	6.7b	(+.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)))))
	61.7b	(+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))
	38.6b	(+.f64 -1 (cos.f64 (+.f64 x eps)))
	30.6b	(.f64 (pow.f64 (cbrt.f64 eps) 2) (.f64 (fma.f64 -1/2 (*.f64 eps (cos.f64 x)) (neg.f64 (sin.f64 x))) (cbrt.f64 eps)))
	57.9b	(.f64 (.f64 x x) (*.f64 -1/2 (cos.f64 eps)))
	45.8b	(.f64 (sqrt.f64 eps) (.f64 (sqrt.f64 eps) (-.f64 (.f64 -1/2 (.f64 eps (cos.f64 x))) (sin.f64 x))))
	36.0b	(*.f64 (neg.f64 eps) (sin.f64 x))
	49.1b	(.f64 (cos.f64 x) (.f64 eps (*.f64 eps -1/2)))
	30.6b	(.f64 (cbrt.f64 eps) (.f64 (pow.f64 (cbrt.f64 eps) 2) (-.f64 (.f64 -1/2 (.f64 eps (cos.f64 x))) (sin.f64 x))))
	30.0b	(.f64 eps (-.f64 (.f64 (*.f64 -1/2 eps) (cos.f64 x)) (sin.f64 x)))
	49.1b	(.f64 eps (.f64 eps -1/2))
	13.6b	(.f64 -2 (.f64 (sin.f64 (/.f64 (+.f64 eps (-.f64 x x)) 2)) (sin.f64 (/.f64 (+.f64 eps (+.f64 x x)) 2))))
	54.0b	(sqrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2))
	55.5b	(sqrt.f64 (*.f64 1/4 (pow.f64 eps 4)))
	58.1b	(neg.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))))
	38.4b	(log.f64 (exp.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
	38.2b	(log.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)))
	61.7b	(cbrt.f64 (pow.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))) 3))
	48.7b	(cbrt.f64 (pow.f64 (.f64 eps (-.f64 (.f64 (*.f64 -1/2 eps) (cos.f64 x)) (sin.f64 x))) 3))
	52.9b	(cbrt.f64 (pow.f64 (.f64 eps (.f64 eps -1/2)) 3))

Compiler

Compiled 1219 to 887 computations (27.2% saved)

regimes274.0ms (1.4%)

Counts

146 → 1

Calls

Call 1

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

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

Calls

3 calls:

91.0ms	x
72.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
68.0ms	eps

Results

Error	Segments	Branch
0.6b	1	`x`
0.6b	1	`eps`
0.6b	1	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`

Compiler

Compiled 2118 to 857 computations (59.5% saved)

regimes520.0ms (2.7%)

Counts

120 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

3 calls:

228.0ms	eps
197.0ms	x
65.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

Error	Segments	Branch
0.5b	3	`x`
0.4b	3	`eps`
6.6b	1	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`

Compiler

Compiled 1444 to 623 computations (56.9% saved)

bsearch68.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
31.0ms	4.0041297685450426e-5	0.026722040599629588
33.0ms	-0.2855234406208672	-0.0008606910535340417

Results

28.0ms	58×	body	1024	valid
24.0ms	176×	body	256	valid
5.0ms	7×	body	2048	valid
4.0ms	15×	body	512	valid

Compiler

Compiled 638 to 442 computations (30.7% saved)

regimes364.0ms (1.9%)

Counts

109 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

3 calls:

139.0ms	eps
134.0ms	x
60.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

Error	Segments	Branch
0.5b	3	`x`
0.4b	3	`eps`
6.6b	1	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`

Compiler

Compiled 1272 to 553 computations (56.5% saved)

bsearch64.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
33.0ms	4.0041297685450426e-5	0.026722040599629588
30.0ms	-0.2855234406208672	-0.0008606910535340417

Results

26.0ms	168×	body	256	valid
25.0ms	66×	body	1024	valid
5.0ms	17×	body	512	valid
3.0ms	5×	body	2048	valid

Compiler

Compiled 638 to 442 computations (30.7% saved)

regimes598.0ms (3.1%)

Counts

104 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

3 calls:

313.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
130.0ms	eps
125.0ms	x

Results

Error	Segments	Branch
0.5b	3	`x`
0.5b	3	`eps`
6.6b	1	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`

Compiler

Compiled 1182 to 520 computations (56% saved)

bsearch129.0ms (0.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
61.0ms	4.3539089728049126e-8	4.018985846035128e-5
67.0ms	-12128043.594686743	-3.201264664440983e-20

Results

57.0ms	149×	body	1024	valid
31.0ms	58×	body	256	valid
19.0ms	34×	body	2048	valid
15.0ms	63×	body	512	valid

Compiler

Compiled 763 to 547 computations (28.3% saved)

regimes476.0ms (2.5%)

Counts

95 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

3 calls:

179.0ms	eps
149.0ms	x
51.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

Error	Segments	Branch
0.5b	3	`x`
0.6b	3	`eps`
6.6b	1	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`

Compiler

Compiled 1039 to 482 computations (53.6% saved)

bsearch158.0ms (0.8%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
43.0ms	4.3539089728049126e-8	4.018985846035128e-5
114.0ms	-12128043.594686743	-3.201264664440983e-20

Results

66.0ms	35×	body	2048	valid
64.0ms	165×	body	1024	valid
14.0ms	56×	body	512	valid
8.0ms	48×	body	256	valid

Compiler

Compiled 752 to 558 computations (25.8% saved)

regimes426.0ms (2.2%)

Counts

92 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

3 calls:

164.0ms	x
107.0ms	eps
98.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

Error	Segments	Branch
0.5b	3	`x`
0.6b	3	`eps`
6.6b	1	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`

Compiler

Compiled 998 to 471 computations (52.8% saved)

bsearch133.0ms (0.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
60.0ms	4.3539089728049126e-8	4.018985846035128e-5
72.0ms	-12128043.594686743	-3.201264664440983e-20

Results

78.0ms	154×	body	1024	valid
22.0ms	38×	body	2048	valid
20.0ms	63×	body	512	valid
7.0ms	49×	body	256	valid

Compiler

Compiled 752 to 558 computations (25.8% saved)

regimes293.0ms (1.5%)

Counts

87 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

3 calls:

112.0ms	x
109.0ms	eps
48.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

Error	Segments	Branch
0.5b	3	`x`
0.6b	3	`eps`
6.6b	1	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`

Compiler

Compiled 902 to 425 computations (52.9% saved)

bsearch112.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
43.0ms	4.3539089728049126e-8	4.018985846035128e-5
68.0ms	-12128043.594686743	-3.201264664440983e-20

Results

64.0ms	158×	body	1024	valid
18.0ms	28×	body	2048	valid
16.0ms	60×	body	512	valid
8.0ms	58×	body	256	valid

Compiler

Compiled 736 to 542 computations (26.4% saved)

regimes119.0ms (0.6%)

Counts

82 → 1

Calls

Call 1

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

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:

39.0ms	eps
35.0ms	x
24.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

Error	Segments	Branch
13.6b	1	`x`
13.6b	1	`eps`
13.6b	1	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`

Compiler

Compiled 831 to 392 computations (52.8% saved)

regimes264.0ms (1.4%)

Counts

38 → 3

Calls

Call 1

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

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

Calls

3 calls:

185.0ms	x
48.0ms	eps
23.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

Error	Segments	Branch
18.7b	7	`x`
13.4b	3	`eps`
14.3b	2	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`

Compiler

Compiled 324 to 171 computations (47.2% saved)

bsearch113.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
84.0ms	0.026722040599629588	26407361196.017868
29.0ms	-0.2855234406208672	-0.0008606910535340417

Results

51.0ms	8×	body	2048	valid
26.0ms	68×	body	1024	valid
24.0ms	179×	body	256	valid
8.0ms	33×	body	512	valid

Compiler

Compiled 410 to 298 computations (27.3% saved)

regimes175.0ms (0.9%)

Counts

32 → 3

Calls

Call 1

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

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

Calls

3 calls:

88.0ms	x
58.0ms	eps
22.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

Error	Segments	Branch
18.8b	7	`x`
13.6b	3	`eps`
14.5b	2	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`

Compiler

Compiled 248 to 136 computations (45.2% saved)

bsearch120.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
42.0ms	0.026722040599629588	26407361196.017868
77.0ms	-0.2855234406208672	-0.0008606910535340417

Results

69.0ms	158×	body	256	valid
38.0ms	103×	body	1024	valid
6.0ms	23×	body	512	valid
3.0ms	4×	body	2048	valid

Compiler

Compiled 392 to 280 computations (28.6% saved)

regimes128.0ms (0.7%)

Counts

17 → 3

Calls

Call 1

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

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

Calls

2 calls:

53.0ms	x
23.0ms	eps

Results

Error	Segments	Branch
21.7b	7	`x`
13.9b	3	`eps`

Compiler

Compiled 125 to 77 computations (38.4% saved)

bsearch75.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
44.0ms	0.026722040599629588	26407361196.017868
30.0ms	-0.2855234406208672	-0.0008606910535340417

Results

26.0ms	193×	body	256	valid
24.0ms	58×	body	1024	valid
11.0ms	28×	body	512	valid
6.0ms	9×	body	2048	valid

Compiler

Compiled 374 to 280 computations (25.1% saved)

regimes115.0ms (0.6%)

Counts

15 → 3

Calls

Call 1

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

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

Calls

2 calls:

89.0ms	x
22.0ms	eps

Results

Error	Segments	Branch
21.7b	7	`x`
20.0b	3	`eps`

Compiler

Compiled 105 to 69 computations (34.3% saved)

bsearch90.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
57.0ms	0.026722040599629588	26407361196.017868
32.0ms	-1.7139625856920525e-6	-3.4783475239526086e-12

Results

44.0ms	73×	body	1024	valid
28.0ms	186×	body	256	valid
9.0ms	36×	body	512	valid
6.0ms	9×	body	2048	valid

Compiler

Compiled 299 to 238 computations (20.4% saved)

regimes38.0ms (0.2%)

Counts

7 → 3

Calls

Call 1

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

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

Calls

2 calls:

23.0ms	x
14.0ms	eps

Results

Error	Segments	Branch
36.1b	5	`x`
29.2b	3	`eps`

Compiler

Compiled 48 to 32 computations (33.3% saved)

bsearch68.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
38.0ms	0.026722040599629588	26407361196.017868
29.0ms	-0.0008606910535340417	-4.4060890821301905e-5

Results

23.0ms	168×	body	256	valid
21.0ms	58×	body	1024	valid
11.0ms	34×	body	512	valid
9.0ms	12×	body	2048	valid

Compiler

Compiled 337 to 248 computations (26.4% saved)

regimes29.0ms (0.2%)

Counts

6 → 1

Calls

Call 1

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

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

Calls

2 calls:

23.0ms	eps
5.0ms	x

Results

Error	Segments	Branch
45.6b	1	`x`
45.6b	1	`eps`

Compiler

Compiled 44 to 29 computations (34.1% saved)

regimes10.0ms (0.1%)

Counts

4 → 1

Calls

Call 1

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

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

Calls

2 calls:

5.0ms	x
4.0ms	eps

Results

Error	Segments	Branch
49.1b	1	`x`
49.1b	1	`eps`

Compiler

Compiled 26 to 17 computations (34.6% saved)

regimes7.0ms (0%)

Accuracy

Total -6.2b remaining (-12.6%)

Threshold costs -6.2b (-12.6%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

2 calls:

3.0ms	eps
3.0ms	x

Results

Error	Segments	Branch
49.1b	1	`x`
49.1b	1	`eps`

Compiler

Compiled 16 to 12 computations (25% saved)

simplify58.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

72×	`+-commutative`
56×	`*-commutative`
44×	`sub-neg`
22×	`cancel-sign-sub-inv`
20×	`neg-mul-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	130	1393
1	213	1393
2	260	1393
3	279	1393
4	287	1393
5	288	1393

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(-.f64 (.f64 (/.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))) (pow.f64 (sin.f64 eps) 2)) (.f64 (sin.f64 x) (sin.f64 eps)))
(if (<=.f64 eps -6456360425798343/1152921504606846976) (-.f64 (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x)) (if (<=.f64 eps 3112888062438487/576460752303423488) (-.f64 (.f64 (cos.f64 x) (fma.f64 1/24 (pow.f64 eps 4) (.f64 -1/2 (.f64 eps eps)))) (.f64 (sin.f64 x) (sin.f64 eps))) (fma.f64 (cos.f64 x) (cos.f64 eps) (-.f64 (neg.f64 (*.f64 (sin.f64 eps) (sin.f64 x))) (cos.f64 x)))))
(if (<=.f64 eps -1642913144064757/288230376151711744) (-.f64 (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x)) (if (<=.f64 eps 1642913144064757/288230376151711744) (-.f64 (.f64 (cos.f64 x) (fma.f64 1/24 (pow.f64 eps 4) (.f64 -1/2 (.f64 eps eps)))) (.f64 (sin.f64 x) (sin.f64 eps))) (-.f64 (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))))
(if (<=.f64 x -5942112188569825/39614081257132168796771975168) (-.f64 (-.f64 (.f64 (cos.f64 eps) (cos.f64 x)) (cos.f64 x)) (.f64 (sin.f64 x) (sin.f64 eps))) (if (<=.f64 x 1662273001970115/37778931862957161709568) (.f64 -2 (.f64 (sin.f64 (/.f64 (+.f64 eps (-.f64 x x)) 2)) (sin.f64 (/.f64 (+.f64 eps (+.f64 x x)) 2)))) (-.f64 (/.f64 (cos.f64 x) (/.f64 1 (+.f64 -1 (cos.f64 eps)))) (*.f64 (sin.f64 x) (sin.f64 eps)))))
(if (<=.f64 x -4704172149284445/4951760157141521099596496896) (fma.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x) (.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)))) (if (<=.f64 x 1662273001970115/37778931862957161709568) (.f64 -2 (.f64 (sin.f64 (/.f64 (+.f64 eps (-.f64 x x)) 2)) (sin.f64 (/.f64 (+.f64 eps (+.f64 x x)) 2)))) (-.f64 (/.f64 (cos.f64 x) (/.f64 1 (+.f64 -1 (cos.f64 eps)))) (.f64 (sin.f64 x) (sin.f64 eps)))))
(if (<=.f64 x -5197367460935741/633825300114114700748351602688) (-.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 (sin.f64 x) (sin.f64 eps))) (if (<=.f64 x 1662273001970115/37778931862957161709568) (.f64 -2 (.f64 (sin.f64 (/.f64 (+.f64 eps (-.f64 x x)) 2)) (sin.f64 (/.f64 (+.f64 eps (+.f64 x x)) 2)))) (-.f64 (/.f64 (cos.f64 x) (/.f64 1 (+.f64 -1 (cos.f64 eps)))) (*.f64 (sin.f64 x) (sin.f64 eps)))))
(if (<=.f64 x -2139160387885137/39614081257132168796771975168) (-.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 (sin.f64 x) (sin.f64 eps))) (if (<=.f64 x 1662273001970115/37778931862957161709568) (.f64 -2 (.f64 (sin.f64 (/.f64 (+.f64 eps (-.f64 x x)) 2)) (sin.f64 (/.f64 (+.f64 eps (+.f64 x x)) 2)))) (-.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 (sin.f64 x) (sin.f64 eps)))))
(.f64 -2 (.f64 (sin.f64 (/.f64 (+.f64 eps (-.f64 x x)) 2)) (sin.f64 (/.f64 (+.f64 eps (+.f64 x x)) 2))))
(if (<=.f64 eps -1080863910568919/144115188075855872) (-.f64 (cos.f64 eps) (cos.f64 x)) (if (<=.f64 eps 7782220156096217/288230376151711744) (.f64 eps (-.f64 (.f64 (*.f64 -1/2 eps) (cos.f64 x)) (sin.f64 x))) (-.f64 (cos.f64 eps) (cos.f64 x))))
(if (<=.f64 eps -4496393867966703/1152921504606846976) (-.f64 (cos.f64 eps) (cos.f64 x)) (if (<=.f64 eps 8070450532247929/288230376151711744) (-.f64 (.f64 -1/2 (.f64 eps eps)) (*.f64 eps (sin.f64 x))) (-.f64 (cos.f64 eps) (cos.f64 x))))
(if (<=.f64 eps -5072854620270127/2305843009213693952) (-.f64 (cos.f64 eps) 1) (if (<=.f64 eps 7782220156096217/288230376151711744) (-.f64 (.f64 -1/2 (.f64 eps eps)) (*.f64 eps (sin.f64 x))) (-.f64 (cos.f64 eps) 1)))
(if (<=.f64 eps -519460313115661/2361183241434822606848) (-.f64 (cos.f64 eps) 1) (if (<=.f64 eps 7782220156096217/288230376151711744) (*.f64 (neg.f64 eps) (sin.f64 x)) (-.f64 (cos.f64 eps) 1)))
(if (<=.f64 eps -2582544170319337/18446744073709551616) (-.f64 (cos.f64 eps) 1) (if (<=.f64 eps 7782220156096217/288230376151711744) (-.f64 (.f64 eps (.f64 eps -1/2)) (*.f64 eps x)) (-.f64 (cos.f64 eps) 1)))
(-.f64 (.f64 eps (.f64 eps -1/2)) (*.f64 eps x))
(.f64 eps (.f64 eps -1/2))
(.f64 -1/2 (.f64 eps eps))
(-.f64 1 1)

Outputs
(-.f64 (.f64 (/.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))) (pow.f64 (sin.f64 eps) 2)) (.f64 (sin.f64 x) (sin.f64 eps)))
(-.f64 (.f64 (/.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))) (pow.f64 (sin.f64 eps) 2)) (.f64 (sin.f64 eps) (sin.f64 x)))
(if (<=.f64 eps -6456360425798343/1152921504606846976) (-.f64 (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x)) (if (<=.f64 eps 3112888062438487/576460752303423488) (-.f64 (.f64 (cos.f64 x) (fma.f64 1/24 (pow.f64 eps 4) (.f64 -1/2 (.f64 eps eps)))) (.f64 (sin.f64 x) (sin.f64 eps))) (fma.f64 (cos.f64 x) (cos.f64 eps) (-.f64 (neg.f64 (*.f64 (sin.f64 eps) (sin.f64 x))) (cos.f64 x)))))
(if (<=.f64 eps -6456360425798343/1152921504606846976) (-.f64 (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (.f64 (sin.f64 eps) (sin.f64 x))) (cos.f64 x)) (if (<=.f64 eps 3112888062438487/576460752303423488) (-.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))) (fma.f64 (cos.f64 x) (cos.f64 eps) (-.f64 (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))) (cos.f64 x)))))
(if (<=.f64 eps -1642913144064757/288230376151711744) (-.f64 (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x)) (if (<=.f64 eps 1642913144064757/288230376151711744) (-.f64 (.f64 (cos.f64 x) (fma.f64 1/24 (pow.f64 eps 4) (.f64 -1/2 (.f64 eps eps)))) (.f64 (sin.f64 x) (sin.f64 eps))) (-.f64 (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))))
(if (or (<=.f64 eps -1642913144064757/288230376151711744) (not (<=.f64 eps 1642913144064757/288230376151711744))) (-.f64 (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (.f64 (sin.f64 eps) (sin.f64 x))) (cos.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 x -5942112188569825/39614081257132168796771975168) (-.f64 (-.f64 (.f64 (cos.f64 eps) (cos.f64 x)) (cos.f64 x)) (.f64 (sin.f64 x) (sin.f64 eps))) (if (<=.f64 x 1662273001970115/37778931862957161709568) (.f64 -2 (.f64 (sin.f64 (/.f64 (+.f64 eps (-.f64 x x)) 2)) (sin.f64 (/.f64 (+.f64 eps (+.f64 x x)) 2)))) (-.f64 (/.f64 (cos.f64 x) (/.f64 1 (+.f64 -1 (cos.f64 eps)))) (*.f64 (sin.f64 x) (sin.f64 eps)))))
(if (<=.f64 x -5942112188569825/39614081257132168796771975168) (-.f64 (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (cos.f64 x)) (.f64 (sin.f64 eps) (sin.f64 x))) (if (<=.f64 x 1662273001970115/37778931862957161709568) (.f64 -2 (.f64 (sin.f64 (/.f64 (+.f64 eps (-.f64 x x)) 2)) (sin.f64 (/.f64 (+.f64 eps (+.f64 x x)) 2)))) (-.f64 (/.f64 (cos.f64 x) (/.f64 1 (+.f64 -1 (cos.f64 eps)))) (*.f64 (sin.f64 eps) (sin.f64 x)))))
(if (<=.f64 x -4704172149284445/4951760157141521099596496896) (fma.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x) (.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)))) (if (<=.f64 x 1662273001970115/37778931862957161709568) (.f64 -2 (.f64 (sin.f64 (/.f64 (+.f64 eps (-.f64 x x)) 2)) (sin.f64 (/.f64 (+.f64 eps (+.f64 x x)) 2)))) (-.f64 (/.f64 (cos.f64 x) (/.f64 1 (+.f64 -1 (cos.f64 eps)))) (.f64 (sin.f64 x) (sin.f64 eps)))))
(if (<=.f64 x -4704172149284445/4951760157141521099596496896) (fma.f64 (+.f64 -1 (cos.f64 eps)) (cos.f64 x) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x)))) (if (<=.f64 x 1662273001970115/37778931862957161709568) (.f64 -2 (.f64 (sin.f64 (/.f64 (+.f64 eps (-.f64 x x)) 2)) (sin.f64 (/.f64 (+.f64 eps (+.f64 x x)) 2)))) (-.f64 (/.f64 (cos.f64 x) (/.f64 1 (+.f64 -1 (cos.f64 eps)))) (.f64 (sin.f64 eps) (sin.f64 x)))))
(if (<=.f64 x -5197367460935741/633825300114114700748351602688) (-.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 (sin.f64 x) (sin.f64 eps))) (if (<=.f64 x 1662273001970115/37778931862957161709568) (.f64 -2 (.f64 (sin.f64 (/.f64 (+.f64 eps (-.f64 x x)) 2)) (sin.f64 (/.f64 (+.f64 eps (+.f64 x x)) 2)))) (-.f64 (/.f64 (cos.f64 x) (/.f64 1 (+.f64 -1 (cos.f64 eps)))) (*.f64 (sin.f64 x) (sin.f64 eps)))))
(if (<=.f64 x -5197367460935741/633825300114114700748351602688) (-.f64 (.f64 (cos.f64 x) (+.f64 -1 (cos.f64 eps))) (.f64 (sin.f64 eps) (sin.f64 x))) (if (<=.f64 x 1662273001970115/37778931862957161709568) (.f64 -2 (.f64 (sin.f64 (/.f64 (+.f64 eps (-.f64 x x)) 2)) (sin.f64 (/.f64 (+.f64 eps (+.f64 x x)) 2)))) (-.f64 (/.f64 (cos.f64 x) (/.f64 1 (+.f64 -1 (cos.f64 eps)))) (*.f64 (sin.f64 eps) (sin.f64 x)))))
(if (<=.f64 x -2139160387885137/39614081257132168796771975168) (-.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 (sin.f64 x) (sin.f64 eps))) (if (<=.f64 x 1662273001970115/37778931862957161709568) (.f64 -2 (.f64 (sin.f64 (/.f64 (+.f64 eps (-.f64 x x)) 2)) (sin.f64 (/.f64 (+.f64 eps (+.f64 x x)) 2)))) (-.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 (sin.f64 x) (sin.f64 eps)))))
(if (or (<=.f64 x -2139160387885137/39614081257132168796771975168) (not (<=.f64 x 1662273001970115/37778931862957161709568))) (-.f64 (.f64 (cos.f64 x) (+.f64 -1 (cos.f64 eps))) (.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)))))
(.f64 -2 (.f64 (sin.f64 (/.f64 (+.f64 eps (-.f64 x x)) 2)) (sin.f64 (/.f64 (+.f64 eps (+.f64 x x)) 2))))
(if (<=.f64 eps -1080863910568919/144115188075855872) (-.f64 (cos.f64 eps) (cos.f64 x)) (if (<=.f64 eps 7782220156096217/288230376151711744) (.f64 eps (-.f64 (.f64 (*.f64 -1/2 eps) (cos.f64 x)) (sin.f64 x))) (-.f64 (cos.f64 eps) (cos.f64 x))))
(if (or (<=.f64 eps -1080863910568919/144115188075855872) (not (<=.f64 eps 7782220156096217/288230376151711744))) (-.f64 (cos.f64 eps) (cos.f64 x)) (.f64 eps (-.f64 (.f64 (cos.f64 x) (*.f64 eps -1/2)) (sin.f64 x))))
(if (<=.f64 eps -4496393867966703/1152921504606846976) (-.f64 (cos.f64 eps) (cos.f64 x)) (if (<=.f64 eps 8070450532247929/288230376151711744) (-.f64 (.f64 -1/2 (.f64 eps eps)) (*.f64 eps (sin.f64 x))) (-.f64 (cos.f64 eps) (cos.f64 x))))
(if (or (<=.f64 eps -4496393867966703/1152921504606846976) (not (<=.f64 eps 8070450532247929/288230376151711744))) (-.f64 (cos.f64 eps) (cos.f64 x)) (-.f64 (.f64 -1/2 (.f64 eps eps)) (*.f64 eps (sin.f64 x))))
(if (<=.f64 eps -5072854620270127/2305843009213693952) (-.f64 (cos.f64 eps) 1) (if (<=.f64 eps 7782220156096217/288230376151711744) (-.f64 (.f64 -1/2 (.f64 eps eps)) (*.f64 eps (sin.f64 x))) (-.f64 (cos.f64 eps) 1)))
(if (or (<=.f64 eps -5072854620270127/2305843009213693952) (not (<=.f64 eps 7782220156096217/288230376151711744))) (+.f64 -1 (cos.f64 eps)) (-.f64 (.f64 -1/2 (.f64 eps eps)) (*.f64 eps (sin.f64 x))))
(if (<=.f64 eps -519460313115661/2361183241434822606848) (-.f64 (cos.f64 eps) 1) (if (<=.f64 eps 7782220156096217/288230376151711744) (*.f64 (neg.f64 eps) (sin.f64 x)) (-.f64 (cos.f64 eps) 1)))
(if (or (<=.f64 eps -519460313115661/2361183241434822606848) (not (<=.f64 eps 7782220156096217/288230376151711744))) (+.f64 -1 (cos.f64 eps)) (*.f64 (sin.f64 x) (neg.f64 eps)))
(if (or (<=.f64 eps -519460313115661/2361183241434822606848) (not (<=.f64 eps 7782220156096217/288230376151711744))) (+.f64 -1 (cos.f64 eps)) (*.f64 eps (neg.f64 (sin.f64 x))))
(if (<=.f64 eps -2582544170319337/18446744073709551616) (-.f64 (cos.f64 eps) 1) (if (<=.f64 eps 7782220156096217/288230376151711744) (-.f64 (.f64 eps (.f64 eps -1/2)) (*.f64 eps x)) (-.f64 (cos.f64 eps) 1)))
(if (or (<=.f64 eps -2582544170319337/18446744073709551616) (not (<=.f64 eps 7782220156096217/288230376151711744))) (+.f64 -1 (cos.f64 eps)) (-.f64 (.f64 eps (.f64 eps -1/2)) (*.f64 x eps)))
(-.f64 (.f64 eps (.f64 eps -1/2)) (*.f64 eps x))
(-.f64 (.f64 eps (.f64 eps -1/2)) (*.f64 x eps))
(.f64 eps (.f64 eps -1/2))
(.f64 -1/2 (.f64 eps eps))
(-.f64 1 1)
0

Compiler

Compiled 507 to 329 computations (35.1% saved)

soundness487.0ms (2.5%)

Algorithm

6×	egg-herbie

Rules

1586×	`associate-/r/`
1352×	`associate-+l-`
1352×	`associate-+l-`
1342×	`+-commutative`
1342×	`+-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	456	10932
1	1283	10512
2	5920	10512
0	438	10256
1	1222	9398
2	6012	9398
0	870	25585
1	2399	22969
0	456	10932
1	1283	10512
2	5920	10512
0	438	10256
1	1222	9398
2	6012	9398
0	414	8862
1	990	8046
2	5160	8046

Stop Event

1×	node limit
1×	node limit
1×	node limit
1×	node limit
1×	node limit
1×	node limit

Compiler

Compiled 401 to 148 computations (63.1% saved)

end263.0ms (1.4%)

Compiler: Compiled 475 to 226 computations (52.4% 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