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 (21.4%)

Results

2.0s	3921×	body	1024	valid
1.6s	2117×	body	2048	valid
389.0ms	1438×	body	512	valid
136.0ms	778×	body	256	valid
3.0ms	2×	body	4096	valid

Bogosity

preprocess16.0ms (0.1%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

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

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

Compiler

Compiled 11 to 8 computations (27.3% saved)

simplify18.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Counts

1 → 1

Calls

Call 1

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

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

39.6b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	39.6b	(-.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
✓	1.0b	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
✓	3.1b	(cos.f64 (+.f64 x eps))

Compiler

Compiled 20 to 6 computations (70% saved)

series6.0ms (0%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
3.0ms	x	@	-inf	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
0.0ms	eps	@	inf	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
0.0ms	x	@	0	(cos.f64 (+.f64 x eps))
0.0ms	eps	@	0	(cos.f64 (+.f64 x eps))
0.0ms	eps	@	0	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

rewrite89.0ms (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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simplify132.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

208 → 286

Calls

Call 1

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

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

eval75.0ms (0.4%)

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

prune80.0ms (0.4%)

Pruning

40 alts after pruning (39 fresh and 1 done)

	Pruned	Kept	Total
New	247	39	286
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	247	40	287

Error

0.1b

Counts

287 → 40

Alt Table

Click to see full alt table

Status	Error	Program
	32.6b	(fma.f64 (.f64 -1/2 (.f64 eps eps)) (cos.f64 x) (*.f64 eps (neg.f64 (sin.f64 x))))
	39.8b	(pow.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 3)
	39.9b	(/.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))))
	39.6b	(/.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)))
	39.7b	(/.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)))
	39.6b	(/.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)
	39.6b	(/.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)
	39.6b	(/.f64 1 (/.f64 1 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
	24.9b	(-.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))
	32.9b	(-.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)))
	47.3b	(-.f64 (pow.f64 (sqrt.f64 (cos.f64 (+.f64 x eps))) 2) (cos.f64 x))
	39.7b	(-.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) 3) (cos.f64 x))
	25.1b	(-.f64 (/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 eps) (cos.f64 x)) 3) (pow.f64 (.f64 (sin.f64 eps) (sin.f64 x)) 3)) (+.f64 (.f64 (pow.f64 (cos.f64 x) 2) (.f64 (cos.f64 eps) (cos.f64 eps))) (.f64 (.f64 (sin.f64 eps) (sin.f64 x)) (fma.f64 (cos.f64 x) (cos.f64 eps) (*.f64 (sin.f64 eps) (sin.f64 x)))))) (cos.f64 x))
	25.0b	(-.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))
	25.0b	(-.f64 (/.f64 (-.f64 (.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (.f64 (cos.f64 x) (cos.f64 eps))) (.f64 (.f64 (sin.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (sin.f64 eps)))) (+.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (.f64 (sin.f64 x) (sin.f64 eps)))) (cos.f64 x))
	25.0b	(-.f64 (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))
	57.0b	(-.f64 (-.f64 (cos.f64 x) (*.f64 eps (sin.f64 x))) (cos.f64 x))
	40.4b	(-.f64 (-.f64 (cos.f64 eps) (*.f64 x (sin.f64 eps))) (cos.f64 x))
	40.9b	(-.f64 (+.f64 (cos.f64 eps) (-.f64 (.f64 (cos.f64 eps) (.f64 -1/2 (.f64 x x))) (.f64 x (sin.f64 eps)))) (cos.f64 x))
	38.0b	(-.f64 (+.f64 (cos.f64 eps) -1) (*.f64 x (sin.f64 eps)))
	25.0b	(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))
▶	39.7b	(-.f64 (log.f64 (exp.f64 (cos.f64 (+.f64 x eps)))) (cos.f64 x))
	44.7b	(-.f64 (fabs.f64 (cos.f64 (+.f64 eps x))) (cos.f64 x))
✓	39.6b	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
	39.5b	(-.f64 (cos.f64 (+.f64 eps x)) (expm1.f64 (log1p.f64 (cos.f64 x))))
	57.3b	(-.f64 (cos.f64 x) (cos.f64 x))
	39.0b	(-.f64 (cos.f64 eps) (cos.f64 x))
▶	38.9b	(-.f64 (cos.f64 eps) 1)
	39.7b	(+.f64 (-.f64 (cos.f64 (+.f64 x eps)) (exp.f64 (log1p.f64 (cos.f64 x)))) 1)
▶	5.7b	(+.f64 (+.f64 (neg.f64 (cos.f64 x)) (.f64 (cos.f64 x) (cos.f64 eps))) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
▶	25.0b	(+.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (-.f64 (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))) (cos.f64 x)))
	39.7b	(.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)))
	34.1b	(.f64 (.f64 (sin.f64 (.f64 (+.f64 x (-.f64 eps x)) 1/2)) (sin.f64 (.f64 (+.f64 eps (+.f64 x x)) 1/2))) -2)
	37.7b	(*.f64 (neg.f64 eps) (sin.f64 x))
	39.7b	(.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)))))))
	14.5b	(.f64 -2 (.f64 (sin.f64 (.f64 1/2 (+.f64 eps (-.f64 x x)))) (sin.f64 (.f64 1/2 (fma.f64 2 x eps)))))
	39.6b	(log.f64 (exp.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
▶	57.1b	(fabs.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
	46.4b	(expm1.f64 (log1p.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
	39.7b	(cbrt.f64 (pow.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 3))

Compiler

Compiled 1551 to 910 computations (41.3% saved)

localize18.0ms (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)))
✓	1.5b	(+.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)))

rewrite151.0ms (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) (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (fma.f64 (cos.f64 x) (cos.f64 eps) (.f64 (cos.f64 x) (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (cos.f64 x) (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (fma.f64 (neg.f64 (.f64 (cos.f64 x) (cos.f64 eps))) 1 (.f64 (cos.f64 x) (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (cos.f64 x) (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (fma.f64 (neg.f64 (sqrt.f64 (.f64 (cos.f64 x) (cos.f64 eps)))) (sqrt.f64 (.f64 (cos.f64 x) (cos.f64 eps))) (.f64 (cos.f64 x) (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (cos.f64 x) (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (fma.f64 (neg.f64 (cbrt.f64 (.f64 (cos.f64 x) (cos.f64 eps)))) (pow.f64 (cbrt.f64 (.f64 (cos.f64 x) (cos.f64 eps))) 2) (.f64 (cos.f64 x) (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (cos.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (-.f64 (cos.f64 x) (fma.f64 (neg.f64 (cos.f64 eps)) (cos.f64 x) (.f64 (cos.f64 x) (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (-.f64 (cos.f64 x) (fma.f64 (cos.f64 x) (cos.f64 eps) (.f64 (cos.f64 x) (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (-.f64 (cos.f64 x) (fma.f64 (neg.f64 (.f64 (cos.f64 x) (cos.f64 eps))) 1 (.f64 (cos.f64 x) (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (-.f64 (cos.f64 x) (fma.f64 (neg.f64 (sqrt.f64 (.f64 (cos.f64 x) (cos.f64 eps)))) (sqrt.f64 (.f64 (cos.f64 x) (cos.f64 eps))) (.f64 (cos.f64 x) (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (-.f64 (cos.f64 x) (fma.f64 (neg.f64 (cbrt.f64 (.f64 (cos.f64 x) (cos.f64 eps)))) (pow.f64 (cbrt.f64 (.f64 (cos.f64 x) (cos.f64 eps))) 2) (.f64 (cos.f64 x) (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))) (fma.f64 (neg.f64 (cos.f64 eps)) (cos.f64 x) (.f64 (cos.f64 x) (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))) (fma.f64 (cos.f64 x) (cos.f64 eps) (.f64 (cos.f64 x) (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))) (fma.f64 (neg.f64 (.f64 (cos.f64 x) (cos.f64 eps))) 1 (.f64 (cos.f64 x) (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))) (fma.f64 (neg.f64 (sqrt.f64 (.f64 (cos.f64 x) (cos.f64 eps)))) (sqrt.f64 (.f64 (cos.f64 x) (cos.f64 eps))) (.f64 (cos.f64 x) (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 (cos.f64 x) (cos.f64 eps)))) (pow.f64 (cbrt.f64 (.f64 (cos.f64 x) (cos.f64 eps))) 2) (.f64 (cos.f64 x) (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (cos.f64 x) (cos.f64 eps)))) (+.f64 (cos.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cos.f64 x))) (+.f64 (.f64 (cos.f64 x) (cos.f64 eps)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cos.f64 x))) (-.f64 1 (.f64 (cos.f64 x) (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cos.f64 x))) (-.f64 1 (.f64 (neg.f64 (cos.f64 eps)) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cos.f64 x))) (-.f64 1 (.f64 -1 (.f64 (cos.f64 x) (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cos.f64 x))) (-.f64 1 (.f64 (neg.f64 (sqrt.f64 (.f64 (cos.f64 x) (cos.f64 eps)))) (sqrt.f64 (.f64 (cos.f64 x) (cos.f64 eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cos.f64 x))) (-.f64 1 (.f64 (neg.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 x) (cos.f64 eps))) 2)) (cbrt.f64 (.f64 (cos.f64 x) (cos.f64 eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cos.f64 x))) (-.f64 1 (neg.f64 (.f64 (cos.f64 x) (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))))) (-.f64 1 (fma.f64 (neg.f64 (cos.f64 eps)) (cos.f64 x) (.f64 (cos.f64 x) (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))))) (-.f64 1 (fma.f64 (cos.f64 x) (cos.f64 eps) (.f64 (cos.f64 x) (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))))) (-.f64 1 (fma.f64 (neg.f64 (.f64 (cos.f64 x) (cos.f64 eps))) 1 (.f64 (cos.f64 x) (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))))) (-.f64 1 (fma.f64 (neg.f64 (sqrt.f64 (.f64 (cos.f64 x) (cos.f64 eps)))) (sqrt.f64 (.f64 (cos.f64 x) (cos.f64 eps))) (.f64 (cos.f64 x) (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))))) (-.f64 1 (fma.f64 (neg.f64 (cbrt.f64 (.f64 (cos.f64 x) (cos.f64 eps)))) (pow.f64 (cbrt.f64 (.f64 (cos.f64 x) (cos.f64 eps))) 2) (.f64 (cos.f64 x) (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps)))) (/.f64 (pow.f64 (.f64 (cos.f64 x) (cos.f64 eps)) 2) (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps)))) (-.f64 (/.f64 (pow.f64 (.f64 (cos.f64 x) (cos.f64 eps)) 2) (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps)))) (fma.f64 (neg.f64 (cos.f64 eps)) (cos.f64 x) (.f64 (cos.f64 x) (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps)))) (-.f64 (/.f64 (pow.f64 (.f64 (cos.f64 x) (cos.f64 eps)) 2) (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps)))) (fma.f64 (cos.f64 x) (cos.f64 eps) (.f64 (cos.f64 x) (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps)))) (-.f64 (/.f64 (pow.f64 (.f64 (cos.f64 x) (cos.f64 eps)) 2) (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps)))) (fma.f64 (neg.f64 (.f64 (cos.f64 x) (cos.f64 eps))) 1 (.f64 (cos.f64 x) (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps)))) (-.f64 (/.f64 (pow.f64 (.f64 (cos.f64 x) (cos.f64 eps)) 2) (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps)))) (fma.f64 (neg.f64 (sqrt.f64 (.f64 (cos.f64 x) (cos.f64 eps)))) 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (cos.f64 x) (cos.f64 eps)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (cos.f64 x) (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (cos.f64 x) (cos.f64 eps)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 2 (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps)))) -2)))) (#(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 (.f64 (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) 1) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (cos.f64 eps) (-.f64 0 (pow.f64 (cos.f64 x) 2))) (cos.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((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)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 1 (neg.f64 (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 1 (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (-.f64 eps x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.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))))) (#(struct:change #<rule egg-rr> (2) ((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))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 0 (pow.f64 (cos.f64 x) 2)) (cos.f64 eps)) (cos.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((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)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (neg.f64 (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps)))) 1) -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 (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))))) (#(struct:change #<rule egg-rr> (2) ((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))))) (#(struct:change #<rule egg-rr> (2) ((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))))))))) (#(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 x eps)) (cos.f64 (+.f64 x eps)))) 1/2) (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (cos.f64 x) (cos.f64 eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 (cos.f64 x) (cos.f64 eps))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 (cos.f64 x) (cos.f64 eps))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (cos.f64 x) (cos.f64 eps)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 (cos.f64 x) (cos.f64 eps)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (cos.f64 x)) (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 (cos.f64 x) (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 (cos.f64 x) (cos.f64 eps)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 (cos.f64 x) (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 (cos.f64 x) (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 (cos.f64 x) (cos.f64 eps))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (cos.f64 x) (cos.f64 eps))))))))

simplify172.0ms (0.9%)

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))

localize12.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	1.5b	(-.f64 (cos.f64 eps) 1)

Compiler

Compiled 10 to 6 computations (40% saved)

series0.0ms (0%)

Counts

1 → 4

Calls

3 calls:

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

rewrite53.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 31

Calls

Call 1

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

Outputs

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

simplify49.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

35 → 49

Calls

Call 1

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

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

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	1.0b	(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
✓	3.1b	(cos.f64 (+.f64 eps x))

Compiler

Compiled 28 to 7 computations (75% saved)

series1.0ms (0%)

Counts

2 → 32

Calls

12 calls:

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

rewrite89.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1070×	`*-commutative`
908×	`associate-*r/`
750×	`distribute-lft-in`
734×	`distribute-rgt-in`
690×	`associate-*l/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	32
1	212	32
2	3114	32

Stop Event

1×	node limit

Counts

2 → 160

Calls

Call 1

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

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 (+.f64 eps x)) (neg.f64 (cos.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))) (neg.f64 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 (+.f64 eps x)) (+.f64 (neg.f64 (cos.f64 x)) (fma.f64 (neg.f64 (cos.f64 x)) 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 (+.f64 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))))))) (#(struct:change #<rule egg-rr> (2) ((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))))))) (#(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))) (cos.f64 x)))))) (#(struct:change 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(cos.f64 (+.f64 eps x)) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 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)))))))

simplify133.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1328×	`associate-+l-`
1152×	`associate-+r-`
830×	`fma-def`
736×	`associate--r+`
538×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	453	10894
1	1282	10148
2	5937	10148

Stop Event

1×	node limit

Counts

192 → 293

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 -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 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 (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 (*.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 (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)))))
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(/.f64 (.f64 (cbrt.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 3) (pow.f64 (cos.f64 x) 3))) (cbrt.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 3) (pow.f64 (cos.f64 x) 3)))) (/.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)) 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))) (cbrt.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 2) (pow.f64 (cos.f64 x) 2)))) (/.f64 (+.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)) (cbrt.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 2) (pow.f64 (cos.f64 x) 2)))))
(/.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 2) (*.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x)))) (-.f64 (cos.f64 (+.f64 eps x)) (neg.f64 (cos.f64 x))))
(/.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 (+.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)) (+.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 (+.f64 eps x)) 2))))
(/.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 (+.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 (pow.f64 (cos.f64 (+.f64 eps x)) 3) (pow.f64 (neg.f64 (cos.f64 x)) 3)) (+.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 2) (-.f64 (.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x))) (.f64 (cos.f64 (+.f64 eps x)) (neg.f64 (cos.f64 x))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 2) 3) (pow.f64 (pow.f64 (cos.f64 x) 2) 3)) (.f64 (+.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 (.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 eps x)) 2))))))
(/.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 (+.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 (.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (cos.f64 x) 3)) (*.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 3) (pow.f64 (cos.f64 x) 3))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 2) (pow.f64 (cos.f64 x) 2))) (neg.f64 (+.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 3) (pow.f64 (cos.f64 x) 3))) (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 1 (-.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 2) (.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x))))) (-.f64 (cos.f64 (+.f64 eps x)) (neg.f64 (cos.f64 x))))
(/.f64 (.f64 1 (+.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 3) (pow.f64 (neg.f64 (cos.f64 x)) 3))) (+.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 2) (-.f64 (.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x))) (*.f64 (cos.f64 (+.f64 eps x)) (neg.f64 (cos.f64 x))))))
(/.f64 (*.f64 1 (neg.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 2) (pow.f64 (cos.f64 x) 2)))) (neg.f64 (+.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))))
(/.f64 (.f64 1 (neg.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 3) (pow.f64 (cos.f64 x) 3)))) (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 (sqrt.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))) (sqrt.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))))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))) (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))))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))) 2) (cbrt.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 3) (pow.f64 (cos.f64 x) 3)))) (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 (cbrt.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))) 2) (cbrt.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 2) (pow.f64 (cos.f64 x) 2)))) (cbrt.f64 (+.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))))
(/.f64 (.f64 -2 (-.f64 (cos.f64 (-.f64 (.f64 (+.f64 eps (-.f64 x x)) 1/2) (.f64 (+.f64 eps (+.f64 x x)) 1/2))) (cos.f64 (+.f64 (.f64 (+.f64 eps (-.f64 x x)) 1/2) (*.f64 (+.f64 eps (+.f64 x x)) 1/2))))) 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 (.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 (.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x))) (*.f64 (cos.f64 (+.f64 eps x)) (neg.f64 (cos.f64 x))))))
(/.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 (.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 (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 (*.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 (.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 (*.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 (.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 x) 2) (pow.f64 (cos.f64 (+.f64 eps x)) 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 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 (.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 eps x)) 2)))))
(/.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 (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 (.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (cos.f64 x) 3)) (*.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 3) (pow.f64 (cos.f64 x) 3)))))
(/.f64 (.f64 (-.f64 (cos.f64 (-.f64 (.f64 (+.f64 eps (-.f64 x x)) 1/2) (.f64 (+.f64 eps (+.f64 x x)) 1/2))) (cos.f64 (+.f64 (.f64 (+.f64 eps (-.f64 x x)) 1/2) (*.f64 (+.f64 eps (+.f64 x x)) 1/2)))) -2) 2)
(/.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 (/.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 2) (pow.f64 (cos.f64 x) 2)) 2) (.f64 (cos.f64 (.f64 (+.f64 eps (+.f64 x x)) 1/2)) (cos.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2))))
(/.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 (/.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 (/.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 (-.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 (-.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))))))
(pow.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)) 1)
(pow.f64 (sqrt.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))) 2)
(pow.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))) 3)
(pow.f64 (pow.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)) 3) 1/3)
(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 1/6 (.f64 (pow.f64 eps 3) (sin.f64 x))) (+.f64 (cos.f64 x) (+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (.f64 -1 (.f64 eps (sin.f64 x))))))
(fma.f64 1/6 (.f64 (sin.f64 x) (pow.f64 eps 3)) (+.f64 (cos.f64 x) (fma.f64 -1/2 (.f64 (cos.f64 x) (.f64 eps eps)) (.f64 (neg.f64 eps) (sin.f64 x)))))
(fma.f64 1/6 (.f64 (sin.f64 x) (pow.f64 eps 3)) (-.f64 (.f64 (+.f64 (.f64 -1/2 (.f64 eps eps)) 1) (cos.f64 x)) (*.f64 eps (sin.f64 x))))
(cos.f64 (-.f64 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 -1/2 (.f64 x x))))
(+.f64 (cos.f64 eps) (+.f64 (.f64 1/6 (.f64 (pow.f64 x 3) (sin.f64 eps))) (+.f64 (.f64 -1/2 (.f64 (cos.f64 eps) (pow.f64 x 2))) (.f64 -1 (.f64 x (sin.f64 eps))))))
(+.f64 (cos.f64 eps) (fma.f64 1/6 (.f64 (sin.f64 eps) (pow.f64 x 3)) (fma.f64 -1/2 (.f64 (cos.f64 eps) (.f64 x x)) (.f64 (neg.f64 x) (sin.f64 eps)))))
(+.f64 (cos.f64 eps) (+.f64 (.f64 (cos.f64 eps) (.f64 -1/2 (.f64 x x))) (.f64 (sin.f64 eps) (+.f64 (*.f64 1/6 (pow.f64 x 3)) (neg.f64 x)))))
(cos.f64 (-.f64 eps (*.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 -1 (.f64 eps (sin.f64 x)))
(*.f64 (neg.f64 eps) (sin.f64 x))
(*.f64 (sin.f64 x) (neg.f64 eps))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (.f64 -1 (.f64 eps (sin.f64 x))))
(fma.f64 -1/2 (.f64 (cos.f64 x) (.f64 eps eps)) (*.f64 (neg.f64 eps) (sin.f64 x)))
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(*.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 (pow.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 2) (/.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)))))) (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)) 3) (pow.f64 (cos.f64 x) 3))) (cbrt.f64 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))) (pow.f64 (cos.f64 (+.f64 x eps)) 2)))) (pow.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 2))
(/.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 (cbrt.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (pow.f64 (cos.f64 x) 2))) (/.f64 (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 (pow.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 2) (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 (-.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 x) 2) (pow.f64 (cos.f64 (+.f64 eps 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 (.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 eps 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 (cos.f64 x) (cos.f64 (+.f64 x eps)))) (+.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 4) (*.f64 (pow.f64 (cos.f64 x) 2) (+.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (pow.f64 (cos.f64 x) 2)))))
(/.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 6) (pow.f64 (cos.f64 x) 6)) (*.f64 (+.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)) (+.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 (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 (.f64 (pow.f64 (cos.f64 x) 3) (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 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 x) (cos.f64 (+.f64 x eps))))) (+.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 6) (*.f64 (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 x eps)) 3) 3) (pow.f64 (pow.f64 (cos.f64 x) 3) 3)) (*.f64 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))) (pow.f64 (cos.f64 (+.f64 x eps)) 2)) (fma.f64 (pow.f64 (cos.f64 x) 3) (+.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3) (pow.f64 (cos.f64 x) 3)) (pow.f64 (cos.f64 (+.f64 x eps)) 6))))
(/.f64 (.f64 (-.f64 (cos.f64 (-.f64 (.f64 (+.f64 eps (-.f64 x x)) 1/2) (.f64 (+.f64 eps (+.f64 x x)) 1/2))) (cos.f64 (+.f64 (.f64 (+.f64 eps (-.f64 x x)) 1/2) (*.f64 (+.f64 eps (+.f64 x x)) 1/2)))) -2) 2)
(/.f64 (-.f64 (cos.f64 (.f64 1/2 (-.f64 (+.f64 eps 0) (+.f64 eps (+.f64 x x))))) (cos.f64 (.f64 1/2 (+.f64 (+.f64 eps 0) (+.f64 eps (+.f64 x x)))))) -1)
(.f64 -1 (-.f64 (cos.f64 (.f64 1/2 (-.f64 eps (fma.f64 2 x eps)))) (cos.f64 (*.f64 1/2 (+.f64 eps (fma.f64 2 x eps))))))
(/.f64 (/.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 (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)) 2) (.f64 (cos.f64 (.f64 (+.f64 eps (+.f64 x x)) 1/2)) (cos.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2))))
(/.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (pow.f64 (cos.f64 x) 2)) (.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 eps (+.f64 x x)))) (cos.f64 (.f64 1/2 (+.f64 eps 0)))) 2))
(.f64 (/.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (pow.f64 (cos.f64 x) 2)) (.f64 (cos.f64 (.f64 1/2 (fma.f64 2 x eps))) (cos.f64 (.f64 eps 1/2)))) 1/2)
(/.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 (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 (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 (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 (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 (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 (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 (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 (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 (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 (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 (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 (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 (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 (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 (cos.f64 (-.f64 x (neg.f64 eps))) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(exp.f64 (cos.f64 (+.f64 x eps)))
✓	0.6b	(log.f64 (exp.f64 (cos.f64 (+.f64 x eps))))
	3.1b	(cos.f64 (+.f64 x eps))
✓	11.1b	(-.f64 (log.f64 (exp.f64 (cos.f64 (+.f64 x eps)))) (cos.f64 x))

Compiler

Compiled 33 to 8 computations (75.8% saved)

series3.0ms (0%)

Counts

3 → 72

Calls

18 calls:

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

rewrite91.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

3 → 203

Calls

Call 1

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

Outputs

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

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

simplify155.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

275 → 363

Calls

Call 1

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

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

localize17.0ms (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 (sin.f64 eps) (neg.f64 (sin.f64 x))) (cos.f64 x))
	0.2b	(*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x)))
✓	3.5b	(+.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (-.f64 (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))) (cos.f64 x)))

Compiler

Compiled 50 to 11 computations (78% saved)

series2.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite104.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1726×	`associate-*r/`
1330×	`associate-*l/`
338×	`add-sqr-sqrt`
330×	`pow1`
330×	`*-un-lft-identity`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	74
1	311	46
2	4467	46

Stop Event

1×	node limit

Counts

2 → 175

Calls

Call 1

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

Outputs

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

simplify177.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1222×	`associate-+r+`
1138×	`+-commutative`
818×	`associate-+l-`
768×	`fma-def`
764×	`associate-+r-`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	520	15491
1	1425	14515
2	5975	14515

Stop Event

1×	node limit

Counts

223 → 319

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

eval770.0ms (4%)

Compiler: Compiled 49182 to 15347 computations (68.8% saved)

prune827.0ms (4.3%)

Pruning

57 alts after pruning (55 fresh and 2 done)

	Pruned	Kept	Total
New	1835	46	1881
Fresh	25	9	34
Picked	1	0	1
Done	3	2	5
Total	1864	57	1921

Error

0.0b

Counts

1921 → 57

Alt Table

Click to see full alt table

Status	Error	Program
	39.9b	(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 eps) (sin.f64 x) (cos.f64 x))))
	24.9b	(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x))))
	61.7b	(pow.f64 (cbrt.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))) 3)
	39.2b	(pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 3)
	39.0b	(/.f64 (fma.f64 (cos.f64 eps) (cos.f64 eps) -1) (+.f64 (cos.f64 eps) 1))
	39.6b	(/.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)
▶	39.6b	(/.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)
	34.0b	(/.f64 (*.f64 (sin.f64 eps) (sin.f64 eps)) (-.f64 -1 (cos.f64 eps)))
	34.1b	(/.f64 (sin.f64 eps) (/.f64 (-.f64 -1 (cos.f64 eps)) (sin.f64 eps)))
	39.6b	(/.f64 1 (/.f64 1 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
	32.9b	(-.f64 (fma.f64 1/6 (.f64 (sin.f64 x) (pow.f64 eps 3)) (.f64 (.f64 eps eps) (.f64 -1/2 (cos.f64 x)))) (*.f64 eps (sin.f64 x)))
	25.0b	(-.f64 (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))
	5.7b	(-.f64 (-.f64 (.f64 (cos.f64 eps) (cos.f64 x)) (cos.f64 x)) (.f64 (sin.f64 x) (sin.f64 eps)))
	40.4b	(-.f64 (-.f64 (cos.f64 eps) (*.f64 x (sin.f64 eps))) (cos.f64 x))
	61.7b	(-.f64 (+.f64 (cos.f64 (+.f64 x eps)) (exp.f64 (log1p.f64 (cos.f64 x)))) 1)
	38.0b	(-.f64 (+.f64 (cos.f64 eps) -1) (*.f64 x (sin.f64 eps)))
	32.6b	(-.f64 (.f64 (.f64 eps eps) (.f64 -1/2 (cos.f64 x))) (.f64 eps (sin.f64 x)))
	62.0b	(-.f64 (.f64 (sin.f64 x) (sin.f64 eps)) (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))))
	57.1b	(-.f64 (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))) (.f64 (sin.f64 x) (sin.f64 eps)))
	25.0b	(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))
	25.0b	(-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (.f64 (sin.f64 eps) (sin.f64 x))))
	25.2b	(-.f64 (log.f64 (exp.f64 (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (.f64 (sin.f64 x) (sin.f64 eps))))) (cos.f64 x))
	39.1b	(-.f64 (log.f64 (exp.f64 (cos.f64 eps))) (cos.f64 x))
✓	39.6b	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
	57.1b	(-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))
	39.0b	(-.f64 (cos.f64 eps) (cos.f64 x))
✓	38.9b	(-.f64 (cos.f64 eps) 1)
	18.9b	(+.f64 (-.f64 (cos.f64 eps) 1) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	7.0b	(+.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)))
	20.0b	(+.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))))
	5.8b	(+.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)))))
	19.2b	(+.f64 (+.f64 (neg.f64 (cos.f64 x)) (*.f64 (cos.f64 x) (cos.f64 eps))) (/.f64 (neg.f64 (pow.f64 (sin.f64 x) 3)) (/.f64 (+.f64 0 (pow.f64 (sin.f64 x) 2)) (sin.f64 eps))))
	35.7b	(+.f64 (+.f64 (neg.f64 (cos.f64 x)) (cos.f64 x)) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	35.7b	(+.f64 (+.f64 (neg.f64 (cos.f64 x)) (cos.f64 eps)) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	32.6b	(+.f64 (.f64 (.f64 eps eps) (.f64 (cos.f64 x) -1/2)) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	58.4b	(+.f64 (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))) (.f64 (sin.f64 x) (sin.f64 eps)))
▶	5.7b	(+.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
▶	40.1b	(+.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (-.f64 (.f64 x (neg.f64 (sin.f64 eps))) (cos.f64 x)))
	38.3b	(+.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (neg.f64 (cos.f64 x)))
	25.1b	(+.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (cbrt.f64 (pow.f64 (neg.f64 (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x))) 3)))
	39.1b	(+.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) -1)
	25.1b	(+.f64 (.f64 (cos.f64 eps) (log.f64 (exp.f64 (cos.f64 x)))) (-.f64 (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))) (cos.f64 x)))
	55.1b	(+.f64 (cos.f64 x) (-.f64 (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))) (cos.f64 x)))
	61.7b	(+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))
	38.0b	(+.f64 (cos.f64 eps) (-.f64 (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))) (cos.f64 x)))
	39.0b	(*.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1) (/.f64 1 (+.f64 (cos.f64 eps) 1)))
	37.7b	(*.f64 (neg.f64 eps) (sin.f64 x))
▶	52.5b	(.f64 -1/2 (.f64 eps eps))
	14.5b	(.f64 -2 (.f64 (sin.f64 (/.f64 (+.f64 eps (-.f64 x x)) 2)) (sin.f64 (/.f64 (+.f64 eps (+.f64 x x)) 2))))
	57.4b	(neg.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))))
	39.0b	(log1p.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1)))
	39.6b	(log.f64 (exp.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
	39.0b	(log.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)))
	56.5b	(fabs.f64 (-.f64 (cos.f64 eps) 1))
▶	47.1b	(fabs.f64 (.f64 (sin.f64 (.f64 1/2 (+.f64 eps 0))) (.f64 (sin.f64 (.f64 1/2 (+.f64 eps (+.f64 x x)))) -2)))
	46.7b	(expm1.f64 (log.f64 (cos.f64 eps)))
	39.1b	(cbrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 3))

Compiler

Compiled 1661 to 1139 computations (31.4% saved)

localize21.0ms (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 eps) (neg.f64 (sin.f64 x))))
	0.2b	(*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x)))
✓	1.5b	(+.f64 (cos.f64 eps) -1)

Compiler

Compiled 47 to 18 computations (61.7% saved)

series3.0ms (0%)

Counts

3 → 60

Calls

15 calls:

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

rewrite121.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

3 → 237

Calls

Call 1

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

Outputs

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

simplify189.0ms (1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	645	19429
1	1770	18647

Stop Event

1×	node limit

Counts

297 → 421

Calls

Call 1

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

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

localize11.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

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 -1/2 (.f64 eps eps))
0.0ms	eps	@	inf	(.f64 -1/2 (.f64 eps eps))
0.0ms	eps	@	-inf	(.f64 -1/2 (.f64 eps eps))

rewrite88.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1076×	`add-sqr-sqrt`
1058×	`*-un-lft-identity`
1006×	`pow1`
986×	`add-cube-cbrt`
978×	`add-cbrt-cube`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	13
1	122	13
2	1409	13

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

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

Outputs

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

simplify38.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1470×	`distribute-rgt-in`
1446×	`distribute-lft-in`
1164×	`log-prod`
760×	`associate-r`
704×	`associate-+r+`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	299
1	93	299
2	347	299
3	1912	299

Stop Event

1×	node limit

Counts

23 → 14

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

localize52.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.0b	(-.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))))
✓	2.4b	(+.f64 x (-.f64 eps x))
✓	2.4b	(-.f64 (.f64 (+.f64 x (-.f64 eps x)) 1/2) (.f64 (+.f64 eps (+.f64 x x)) 1/2))
✓	3.2b	(cos.f64 (+.f64 (.f64 (+.f64 x (-.f64 eps x)) 1/2) (.f64 (+.f64 eps (+.f64 x x)) 1/2)))

Compiler

Compiled 204 to 80 computations (60.8% saved)

series8.0ms (0%)

Counts

4 → 96

Calls

24 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	(-.f64 (.f64 (+.f64 x (-.f64 eps x)) 1/2) (.f64 (+.f64 eps (+.f64 x x)) 1/2))
1.0ms	x	@	0	(-.f64 (.f64 (+.f64 x (-.f64 eps x)) 1/2) (.f64 (+.f64 eps (+.f64 x x)) 1/2))
1.0ms	eps	@	inf	(-.f64 (.f64 (+.f64 x (-.f64 eps x)) 1/2) (.f64 (+.f64 eps (+.f64 x x)) 1/2))
1.0ms	eps	@	inf	(-.f64 (cos.f64 (-.f64 (.f64 (+.f64 x (-.f64 eps x)) 1/2) (.f64 (+.f64 eps (+.f64 x x)) 1/2))) (cos.f64 (+.f64 (.f64 (+.f64 x (-.f64 eps x)) 1/2) (.f64 (+.f64 eps (+.f64 x x)) 1/2))))
0.0ms	eps	@	-inf	(-.f64 (cos.f64 (-.f64 (.f64 (+.f64 x (-.f64 eps x)) 1/2) (.f64 (+.f64 eps (+.f64 x x)) 1/2))) (cos.f64 (+.f64 (.f64 (+.f64 x (-.f64 eps x)) 1/2) (.f64 (+.f64 eps (+.f64 x x)) 1/2))))

rewrite159.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

4 → 315

Calls

Call 1

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

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

simplify181.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

924×	`+-commutative`
898×	`associate-+l+`
872×	`associate-+r+`
806×	`associate-r`
726×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	782	24823
1	2281	21067

Stop Event

1×	node limit

Counts

411 → 478

Calls

Call 1

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

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

localize51.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 1/2 (+.f64 eps (+.f64 x x)))
✓	0.3b	(.f64 (sin.f64 (.f64 1/2 (+.f64 eps 0))) (.f64 (sin.f64 (.f64 1/2 (+.f64 eps (+.f64 x x)))) -2))
✓	3.2b	(sin.f64 (*.f64 1/2 (+.f64 eps (+.f64 x x))))

Compiler

Compiled 89 to 51 computations (42.7% saved)

series7.0ms (0%)

Counts

3 → 72

Calls

18 calls:

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

rewrite62.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

906×	`*-commutative`
692×	`associate-*r/`
558×	`associate-*l/`
440×	`distribute-lft-in`
360×	`add-sqr-sqrt`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	17	87
1	381	41
2	5223	23

Stop Event

1×	node limit

Counts

3 → 36

Calls

Call 1

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

Outputs

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

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

((#(struct:change #<rule egg-rr> (2) ((x . 0)))) (#(struct:change #<rule egg-rr> (2) ((x . eps)))) (#(struct:change #<rule egg-rr> (2) ((x . x)))))

simplify66.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

994×	`fma-def`
948×	`distribute-lft-neg-out`
936×	`associate-r`
838×	`distribute-rgt-neg-out`
726×	`associate-l`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	168	2196
1	486	2018
2	1044	1746
3	3030	1718

Stop Event

1×	node limit

Counts

108 → 112

Calls

Call 1

Inputs
(sin.f64 x)
(+.f64 (.f64 1/2 (.f64 eps (cos.f64 x))) (sin.f64 x))
(+.f64 (.f64 -1/8 (.f64 (pow.f64 eps 2) (sin.f64 x))) (+.f64 (.f64 1/2 (.f64 eps (cos.f64 x))) (sin.f64 x)))
(+.f64 (.f64 -1/8 (.f64 (pow.f64 eps 2) (sin.f64 x))) (+.f64 (.f64 -1/48 (.f64 (pow.f64 eps 3) (cos.f64 x))) (+.f64 (.f64 1/2 (.f64 eps (cos.f64 x))) (sin.f64 x))))
(sin.f64 (.f64 1/2 (+.f64 eps (.f64 2 x))))
(sin.f64 (.f64 1/2 (+.f64 eps (.f64 2 x))))
(sin.f64 (.f64 1/2 (+.f64 eps (.f64 2 x))))
(sin.f64 (.f64 1/2 (+.f64 eps (.f64 2 x))))
(sin.f64 (.f64 1/2 (-.f64 (.f64 2 x) (*.f64 -1 eps))))
(sin.f64 (.f64 1/2 (-.f64 (.f64 2 x) (*.f64 -1 eps))))
(sin.f64 (.f64 1/2 (-.f64 (.f64 2 x) (*.f64 -1 eps))))
(sin.f64 (.f64 1/2 (-.f64 (.f64 2 x) (*.f64 -1 eps))))
(sin.f64 (*.f64 1/2 eps))
(+.f64 (.f64 (cos.f64 (.f64 1/2 eps)) x) (sin.f64 (*.f64 1/2 eps)))
(+.f64 (.f64 (cos.f64 (.f64 1/2 eps)) x) (+.f64 (sin.f64 (.f64 1/2 eps)) (.f64 -1/2 (.f64 (sin.f64 (.f64 1/2 eps)) (pow.f64 x 2)))))
(+.f64 (.f64 (cos.f64 (.f64 1/2 eps)) x) (+.f64 (sin.f64 (.f64 1/2 eps)) (+.f64 (.f64 -1/6 (.f64 (cos.f64 (.f64 1/2 eps)) (pow.f64 x 3))) (.f64 -1/2 (.f64 (sin.f64 (*.f64 1/2 eps)) (pow.f64 x 2))))))
(sin.f64 (.f64 1/2 (+.f64 eps (.f64 2 x))))
(sin.f64 (.f64 1/2 (+.f64 eps (.f64 2 x))))
(sin.f64 (.f64 1/2 (+.f64 eps (.f64 2 x))))
(sin.f64 (.f64 1/2 (+.f64 eps (.f64 2 x))))
(sin.f64 (.f64 1/2 (-.f64 eps (.f64 -2 x))))
(sin.f64 (.f64 1/2 (-.f64 eps (.f64 -2 x))))
(sin.f64 (.f64 1/2 (-.f64 eps (.f64 -2 x))))
(sin.f64 (.f64 1/2 (-.f64 eps (.f64 -2 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 (.f64 -1 (.f64 eps (sin.f64 x))) (.f64 -2 (.f64 (pow.f64 eps 3) (+.f64 (.f64 -1/16 (sin.f64 x)) (.f64 -1/48 (sin.f64 x)))))))
(+.f64 (.f64 1/24 (.f64 (pow.f64 eps 4) (cos.f64 x))) (+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (+.f64 (.f64 -1 (.f64 eps (sin.f64 x))) (.f64 -2 (.f64 (pow.f64 eps 3) (+.f64 (.f64 -1/16 (sin.f64 x)) (.f64 -1/48 (sin.f64 x))))))))
(.f64 -2 (.f64 (sin.f64 (.f64 1/2 eps)) (sin.f64 (.f64 1/2 (+.f64 eps (*.f64 2 x))))))
(.f64 -2 (.f64 (sin.f64 (.f64 1/2 eps)) (sin.f64 (.f64 1/2 (+.f64 eps (*.f64 2 x))))))
(.f64 -2 (.f64 (sin.f64 (.f64 1/2 eps)) (sin.f64 (.f64 1/2 (+.f64 eps (*.f64 2 x))))))
(.f64 -2 (.f64 (sin.f64 (.f64 1/2 eps)) (sin.f64 (.f64 1/2 (+.f64 eps (*.f64 2 x))))))
(.f64 -2 (.f64 (sin.f64 (.f64 1/2 eps)) (sin.f64 (.f64 1/2 (-.f64 (.f64 2 x) (.f64 -1 eps))))))
(.f64 -2 (.f64 (sin.f64 (.f64 1/2 eps)) (sin.f64 (.f64 1/2 (-.f64 (.f64 2 x) (.f64 -1 eps))))))
(.f64 -2 (.f64 (sin.f64 (.f64 1/2 eps)) (sin.f64 (.f64 1/2 (-.f64 (.f64 2 x) (.f64 -1 eps))))))
(.f64 -2 (.f64 (sin.f64 (.f64 1/2 eps)) (sin.f64 (.f64 1/2 (-.f64 (.f64 2 x) (.f64 -1 eps))))))
(.f64 -2 (pow.f64 (sin.f64 (.f64 1/2 eps)) 2))
(+.f64 (.f64 -2 (pow.f64 (sin.f64 (.f64 1/2 eps)) 2)) (.f64 -2 (.f64 (sin.f64 (.f64 1/2 eps)) (.f64 (cos.f64 (*.f64 1/2 eps)) x))))
(+.f64 (.f64 -2 (pow.f64 (sin.f64 (.f64 1/2 eps)) 2)) (+.f64 (.f64 (pow.f64 (sin.f64 (.f64 1/2 eps)) 2) (pow.f64 x 2)) (.f64 -2 (.f64 (sin.f64 (.f64 1/2 eps)) (.f64 (cos.f64 (*.f64 1/2 eps)) x)))))
(+.f64 (.f64 -2 (pow.f64 (sin.f64 (.f64 1/2 eps)) 2)) (+.f64 (.f64 (pow.f64 (sin.f64 (.f64 1/2 eps)) 2) (pow.f64 x 2)) (+.f64 (.f64 1/3 (.f64 (sin.f64 (.f64 1/2 eps)) (.f64 (cos.f64 (.f64 1/2 eps)) (pow.f64 x 3)))) (.f64 -2 (.f64 (sin.f64 (.f64 1/2 eps)) (.f64 (cos.f64 (.f64 1/2 eps)) x))))))
(.f64 -2 (.f64 (sin.f64 (.f64 1/2 eps)) (sin.f64 (.f64 1/2 (+.f64 eps (*.f64 2 x))))))
(.f64 -2 (.f64 (sin.f64 (.f64 1/2 eps)) (sin.f64 (.f64 1/2 (+.f64 eps (*.f64 2 x))))))
(.f64 -2 (.f64 (sin.f64 (.f64 1/2 eps)) (sin.f64 (.f64 1/2 (+.f64 eps (*.f64 2 x))))))
(.f64 -2 (.f64 (sin.f64 (.f64 1/2 eps)) (sin.f64 (.f64 1/2 (+.f64 eps (*.f64 2 x))))))
(.f64 -2 (.f64 (sin.f64 (.f64 1/2 (-.f64 eps (.f64 -2 x)))) (sin.f64 (*.f64 1/2 eps))))
(.f64 -2 (.f64 (sin.f64 (.f64 1/2 (-.f64 eps (.f64 -2 x)))) (sin.f64 (*.f64 1/2 eps))))
(.f64 -2 (.f64 (sin.f64 (.f64 1/2 (-.f64 eps (.f64 -2 x)))) (sin.f64 (*.f64 1/2 eps))))
(.f64 -2 (.f64 (sin.f64 (.f64 1/2 (-.f64 eps (.f64 -2 x)))) (sin.f64 (*.f64 1/2 eps))))
x
(+.f64 (*.f64 1/2 eps) x)
(+.f64 (*.f64 1/2 eps) x)
(+.f64 (*.f64 1/2 eps) x)
(*.f64 1/2 eps)
(+.f64 (*.f64 1/2 eps) x)
(+.f64 (*.f64 1/2 eps) x)
(+.f64 (*.f64 1/2 eps) x)
(*.f64 1/2 eps)
(+.f64 (*.f64 1/2 eps) x)
(+.f64 (*.f64 1/2 eps) x)
(+.f64 (*.f64 1/2 eps) x)
(*.f64 1/2 eps)
(+.f64 (*.f64 1/2 eps) x)
(+.f64 (*.f64 1/2 eps) x)
(+.f64 (*.f64 1/2 eps) x)
x
(+.f64 (*.f64 1/2 eps) x)
(+.f64 (*.f64 1/2 eps) x)
(+.f64 (*.f64 1/2 eps) x)
x
(+.f64 (*.f64 1/2 eps) x)
(+.f64 (*.f64 1/2 eps) x)
(+.f64 (*.f64 1/2 eps) x)
(+.f64 (.f64 (sin.f64 0) (cos.f64 0)) (.f64 (sin.f64 0) (cos.f64 0)))
(+.f64 (.f64 1 (.f64 (sin.f64 0) (cos.f64 0))) (.f64 1 (.f64 (sin.f64 0) (cos.f64 0))))
(-.f64 (exp.f64 (log1p.f64 (sin.f64 0))) 1)
(*.f64 (sin.f64 0) 1)
(*.f64 1 (sin.f64 0))
(*.f64 (sqrt.f64 (sin.f64 0)) (sqrt.f64 (sin.f64 0)))
(*.f64 (cbrt.f64 (sin.f64 0)) (pow.f64 (cbrt.f64 (sin.f64 0)) 2))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 0)) 2) (cbrt.f64 (sin.f64 0)))
(pow.f64 (sin.f64 0) 1)
(pow.f64 (sqrt.f64 (sin.f64 0)) 2)
(pow.f64 (cbrt.f64 (sin.f64 0)) 3)
(pow.f64 (pow.f64 (sin.f64 0) 3) 1/3)
(sqrt.f64 (pow.f64 (sin.f64 0) 2))
(log.f64 (exp.f64 (sin.f64 0)))
(log.f64 (+.f64 1 (expm1.f64 (sin.f64 0))))
(cbrt.f64 (pow.f64 (sin.f64 0) 3))
(expm1.f64 (log1p.f64 (sin.f64 0)))
(exp.f64 (log.f64 (sin.f64 0)))
(log1p.f64 (expm1.f64 (sin.f64 0)))
(+.f64 (.f64 (.f64 (sin.f64 0) -2) (.f64 (sin.f64 0) (cos.f64 0))) (.f64 (.f64 (sin.f64 0) -2) (.f64 (sin.f64 0) (cos.f64 0))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 -2 (pow.f64 (sin.f64 0) 2)))) 1)
(/.f64 (*.f64 -2 (-.f64 (cos.f64 0) (cos.f64 0))) 2)
(/.f64 (*.f64 (-.f64 (cos.f64 0) (cos.f64 0)) -2) 2)
(pow.f64 (*.f64 -2 (pow.f64 (sin.f64 0) 2)) 1)
(pow.f64 (*.f64 (sin.f64 0) (sqrt.f64 -2)) 2)
(pow.f64 (cbrt.f64 (*.f64 -2 (pow.f64 (sin.f64 0) 2))) 3)
(pow.f64 (pow.f64 (*.f64 -2 (pow.f64 (sin.f64 0) 2)) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 -2 (pow.f64 (sin.f64 0) 2)) 2))
(log.f64 (pow.f64 (exp.f64 (pow.f64 (sin.f64 0) 2)) -2))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -2 (pow.f64 (sin.f64 0) 2)))))
(cbrt.f64 (pow.f64 (*.f64 -2 (pow.f64 (sin.f64 0) 2)) 3))
(cbrt.f64 (.f64 (pow.f64 (sin.f64 0) 3) (pow.f64 (.f64 (sin.f64 0) -2) 3)))
(expm1.f64 (log1p.f64 (*.f64 -2 (pow.f64 (sin.f64 0) 2))))
(exp.f64 (log.f64 (*.f64 -2 (pow.f64 (sin.f64 0) 2))))
(log1p.f64 (expm1.f64 (*.f64 -2 (pow.f64 (sin.f64 0) 2))))
0

Outputs
(sin.f64 x)
(+.f64 (.f64 1/2 (.f64 eps (cos.f64 x))) (sin.f64 x))
(fma.f64 1/2 (*.f64 eps (cos.f64 x)) (sin.f64 x))
(+.f64 (.f64 -1/8 (.f64 (pow.f64 eps 2) (sin.f64 x))) (+.f64 (.f64 1/2 (.f64 eps (cos.f64 x))) (sin.f64 x)))
(fma.f64 -1/8 (.f64 (sin.f64 x) (.f64 eps eps)) (fma.f64 1/2 (*.f64 eps (cos.f64 x)) (sin.f64 x)))
(fma.f64 1/2 (.f64 eps (cos.f64 x)) (fma.f64 (.f64 eps eps) (*.f64 (sin.f64 x) -1/8) (sin.f64 x)))
(fma.f64 1/2 (.f64 eps (cos.f64 x)) (fma.f64 -1/8 (.f64 eps (*.f64 (sin.f64 x) eps)) (sin.f64 x)))
(+.f64 (.f64 -1/8 (.f64 (pow.f64 eps 2) (sin.f64 x))) (+.f64 (.f64 -1/48 (.f64 (pow.f64 eps 3) (cos.f64 x))) (+.f64 (.f64 1/2 (.f64 eps (cos.f64 x))) (sin.f64 x))))
(fma.f64 -1/8 (.f64 (sin.f64 x) (.f64 eps eps)) (fma.f64 -1/48 (.f64 (cos.f64 x) (pow.f64 eps 3)) (fma.f64 1/2 (.f64 eps (cos.f64 x)) (sin.f64 x))))
(fma.f64 -1/8 (.f64 (sin.f64 x) (.f64 eps eps)) (+.f64 (sin.f64 x) (.f64 (cos.f64 x) (+.f64 (.f64 -1/48 (pow.f64 eps 3)) (*.f64 1/2 eps)))))
(fma.f64 (sin.f64 x) (.f64 eps (.f64 eps -1/8)) (fma.f64 (cos.f64 x) (fma.f64 -1/48 (pow.f64 eps 3) (*.f64 1/2 eps)) (sin.f64 x)))
(sin.f64 (.f64 1/2 (+.f64 eps (.f64 2 x))))
(sin.f64 (.f64 1/2 (+.f64 eps (.f64 x 2))))
(sin.f64 (*.f64 1/2 (fma.f64 x 2 eps)))
(sin.f64 (fma.f64 1/2 eps x))
(sin.f64 (.f64 1/2 (+.f64 eps (.f64 2 x))))
(sin.f64 (.f64 1/2 (+.f64 eps (.f64 x 2))))
(sin.f64 (*.f64 1/2 (fma.f64 x 2 eps)))
(sin.f64 (fma.f64 1/2 eps x))
(sin.f64 (.f64 1/2 (+.f64 eps (.f64 2 x))))
(sin.f64 (.f64 1/2 (+.f64 eps (.f64 x 2))))
(sin.f64 (*.f64 1/2 (fma.f64 x 2 eps)))
(sin.f64 (fma.f64 1/2 eps x))
(sin.f64 (.f64 1/2 (+.f64 eps (.f64 2 x))))
(sin.f64 (.f64 1/2 (+.f64 eps (.f64 x 2))))
(sin.f64 (*.f64 1/2 (fma.f64 x 2 eps)))
(sin.f64 (fma.f64 1/2 eps x))
(sin.f64 (.f64 1/2 (-.f64 (.f64 2 x) (*.f64 -1 eps))))
(sin.f64 (.f64 1/2 (+.f64 eps (.f64 x 2))))
(sin.f64 (*.f64 1/2 (fma.f64 x 2 eps)))
(sin.f64 (fma.f64 1/2 eps x))
(sin.f64 (.f64 1/2 (-.f64 (.f64 2 x) (*.f64 -1 eps))))
(sin.f64 (.f64 1/2 (+.f64 eps (.f64 x 2))))
(sin.f64 (*.f64 1/2 (fma.f64 x 2 eps)))
(sin.f64 (fma.f64 1/2 eps x))
(sin.f64 (.f64 1/2 (-.f64 (.f64 2 x) (*.f64 -1 eps))))
(sin.f64 (.f64 1/2 (+.f64 eps (.f64 x 2))))
(sin.f64 (*.f64 1/2 (fma.f64 x 2 eps)))
(sin.f64 (fma.f64 1/2 eps x))
(sin.f64 (.f64 1/2 (-.f64 (.f64 2 x) (*.f64 -1 eps))))
(sin.f64 (.f64 1/2 (+.f64 eps (.f64 x 2))))
(sin.f64 (*.f64 1/2 (fma.f64 x 2 eps)))
(sin.f64 (fma.f64 1/2 eps x))
(sin.f64 (*.f64 1/2 eps))
(+.f64 (.f64 (cos.f64 (.f64 1/2 eps)) x) (sin.f64 (*.f64 1/2 eps)))
(fma.f64 (cos.f64 (.f64 1/2 eps)) x (sin.f64 (.f64 1/2 eps)))
(fma.f64 x (cos.f64 (.f64 1/2 eps)) (sin.f64 (.f64 1/2 eps)))
(+.f64 (.f64 (cos.f64 (.f64 1/2 eps)) x) (+.f64 (sin.f64 (.f64 1/2 eps)) (.f64 -1/2 (.f64 (sin.f64 (.f64 1/2 eps)) (pow.f64 x 2)))))
(+.f64 (fma.f64 (cos.f64 (.f64 1/2 eps)) x (sin.f64 (.f64 1/2 eps))) (.f64 -1/2 (.f64 (sin.f64 (.f64 1/2 eps)) (.f64 x x))))
(fma.f64 x (cos.f64 (.f64 1/2 eps)) (fma.f64 -1/2 (.f64 (sin.f64 (.f64 1/2 eps)) (.f64 x x)) (sin.f64 (*.f64 1/2 eps))))
(fma.f64 x (cos.f64 (.f64 1/2 eps)) (.f64 (+.f64 (.f64 x (.f64 x -1/2)) 1) (sin.f64 (*.f64 1/2 eps))))
(fma.f64 x (cos.f64 (.f64 1/2 eps)) (.f64 (+.f64 1 (.f64 x (.f64 x -1/2))) (sin.f64 (*.f64 1/2 eps))))
(+.f64 (.f64 (cos.f64 (.f64 1/2 eps)) x) (+.f64 (sin.f64 (.f64 1/2 eps)) (+.f64 (.f64 -1/6 (.f64 (cos.f64 (.f64 1/2 eps)) (pow.f64 x 3))) (.f64 -1/2 (.f64 (sin.f64 (*.f64 1/2 eps)) (pow.f64 x 2))))))
(+.f64 (fma.f64 (cos.f64 (.f64 1/2 eps)) x (sin.f64 (.f64 1/2 eps))) (fma.f64 -1/6 (.f64 (cos.f64 (.f64 1/2 eps)) (pow.f64 x 3)) (.f64 -1/2 (.f64 (sin.f64 (.f64 1/2 eps)) (.f64 x x)))))
(+.f64 (fma.f64 x (cos.f64 (.f64 1/2 eps)) (sin.f64 (.f64 1/2 eps))) (fma.f64 -1/2 (.f64 (sin.f64 (.f64 1/2 eps)) (.f64 x x)) (.f64 (cos.f64 (.f64 1/2 eps)) (.f64 (pow.f64 x 3) -1/6))))
(fma.f64 x (cos.f64 (.f64 1/2 eps)) (fma.f64 (cos.f64 (.f64 1/2 eps)) (.f64 -1/6 (pow.f64 x 3)) (.f64 (+.f64 (.f64 x (.f64 x -1/2)) 1) (sin.f64 (*.f64 1/2 eps)))))
(+.f64 (.f64 (+.f64 1 (.f64 x (.f64 x -1/2))) (sin.f64 (.f64 1/2 eps))) (.f64 (cos.f64 (.f64 1/2 eps)) (+.f64 x (*.f64 -1/6 (pow.f64 x 3)))))
(sin.f64 (.f64 1/2 (+.f64 eps (.f64 2 x))))
(sin.f64 (.f64 1/2 (+.f64 eps (.f64 x 2))))
(sin.f64 (*.f64 1/2 (fma.f64 x 2 eps)))
(sin.f64 (fma.f64 1/2 eps x))
(sin.f64 (.f64 1/2 (+.f64 eps (.f64 2 x))))
(sin.f64 (.f64 1/2 (+.f64 eps (.f64 x 2))))
(sin.f64 (*.f64 1/2 (fma.f64 x 2 eps)))
(sin.f64 (fma.f64 1/2 eps x))
(sin.f64 (.f64 1/2 (+.f64 eps (.f64 2 x))))
(sin.f64 (.f64 1/2 (+.f64 eps (.f64 x 2))))
(sin.f64 (*.f64 1/2 (fma.f64 x 2 eps)))
(sin.f64 (fma.f64 1/2 eps x))
(sin.f64 (.f64 1/2 (+.f64 eps (.f64 2 x))))
(sin.f64 (.f64 1/2 (+.f64 eps (.f64 x 2))))
(sin.f64 (*.f64 1/2 (fma.f64 x 2 eps)))
(sin.f64 (fma.f64 1/2 eps x))
(sin.f64 (.f64 1/2 (-.f64 eps (.f64 -2 x))))
(sin.f64 (.f64 1/2 (+.f64 eps (.f64 x 2))))
(sin.f64 (*.f64 1/2 (fma.f64 x 2 eps)))
(sin.f64 (fma.f64 1/2 eps x))
(sin.f64 (.f64 1/2 (-.f64 eps (.f64 -2 x))))
(sin.f64 (.f64 1/2 (+.f64 eps (.f64 x 2))))
(sin.f64 (*.f64 1/2 (fma.f64 x 2 eps)))
(sin.f64 (fma.f64 1/2 eps x))
(sin.f64 (.f64 1/2 (-.f64 eps (.f64 -2 x))))
(sin.f64 (.f64 1/2 (+.f64 eps (.f64 x 2))))
(sin.f64 (*.f64 1/2 (fma.f64 x 2 eps)))
(sin.f64 (fma.f64 1/2 eps x))
(sin.f64 (.f64 1/2 (-.f64 eps (.f64 -2 x))))
(sin.f64 (.f64 1/2 (+.f64 eps (.f64 x 2))))
(sin.f64 (*.f64 1/2 (fma.f64 x 2 eps)))
(sin.f64 (fma.f64 1/2 eps x))
(.f64 -1 (.f64 eps (sin.f64 x)))
(*.f64 (neg.f64 eps) (sin.f64 x))
(*.f64 (sin.f64 x) (neg.f64 eps))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (.f64 -1 (.f64 eps (sin.f64 x))))
(fma.f64 -1/2 (.f64 (cos.f64 x) (.f64 eps eps)) (*.f64 (neg.f64 eps) (sin.f64 x)))
(-.f64 (.f64 (cos.f64 x) (.f64 (.f64 eps eps) -1/2)) (.f64 (sin.f64 x) eps))
(-.f64 (.f64 (cos.f64 x) (.f64 eps (.f64 eps -1/2))) (.f64 (sin.f64 x) eps))
(.f64 eps (-.f64 (.f64 eps (*.f64 (cos.f64 x) -1/2)) (sin.f64 x)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (+.f64 (.f64 -1 (.f64 eps (sin.f64 x))) (.f64 -2 (.f64 (pow.f64 eps 3) (+.f64 (.f64 -1/16 (sin.f64 x)) (.f64 -1/48 (sin.f64 x)))))))
(fma.f64 -1/2 (.f64 (cos.f64 x) (.f64 eps eps)) (fma.f64 -1 (.f64 (sin.f64 x) eps) (.f64 -2 (.f64 (pow.f64 eps 3) (.f64 (sin.f64 x) -1/12)))))
(fma.f64 -1/2 (.f64 eps (.f64 eps (cos.f64 x))) (-.f64 (.f64 (pow.f64 eps 3) (.f64 (.f64 (sin.f64 x) -1/12) -2)) (.f64 (sin.f64 x) eps)))
(-.f64 (fma.f64 (cos.f64 x) (.f64 eps (.f64 eps -1/2)) (.f64 (pow.f64 eps 3) (.f64 (sin.f64 x) 1/6))) (*.f64 (sin.f64 x) eps))
(-.f64 (.f64 (pow.f64 eps 3) (.f64 (sin.f64 x) 1/6)) (.f64 eps (fma.f64 1/2 (.f64 eps (cos.f64 x)) (sin.f64 x))))
(+.f64 (.f64 1/24 (.f64 (pow.f64 eps 4) (cos.f64 x))) (+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (+.f64 (.f64 -1 (.f64 eps (sin.f64 x))) (.f64 -2 (.f64 (pow.f64 eps 3) (+.f64 (.f64 -1/16 (sin.f64 x)) (.f64 -1/48 (sin.f64 x))))))))
(fma.f64 1/24 (.f64 (cos.f64 x) (pow.f64 eps 4)) (fma.f64 -1/2 (.f64 (cos.f64 x) (.f64 eps eps)) (fma.f64 -1 (.f64 (sin.f64 x) eps) (.f64 -2 (.f64 (pow.f64 eps 3) (*.f64 (sin.f64 x) -1/12))))))
(+.f64 (-.f64 (.f64 (pow.f64 eps 3) (.f64 (.f64 (sin.f64 x) -1/12) -2)) (.f64 (sin.f64 x) eps)) (.f64 (cos.f64 x) (+.f64 (.f64 1/24 (pow.f64 eps 4)) (.f64 (.f64 eps eps) -1/2))))
(fma.f64 (cos.f64 x) (fma.f64 1/24 (pow.f64 eps 4) (.f64 eps (.f64 eps -1/2))) (-.f64 (.f64 (pow.f64 eps 3) (.f64 (sin.f64 x) 1/6)) (*.f64 (sin.f64 x) eps)))
(fma.f64 (cos.f64 x) (fma.f64 1/24 (pow.f64 eps 4) (.f64 eps (.f64 eps -1/2))) (.f64 (sin.f64 x) (-.f64 (.f64 (*.f64 (pow.f64 eps 3) -1/12) -2) eps)))
(.f64 -2 (.f64 (sin.f64 (.f64 1/2 eps)) (sin.f64 (.f64 1/2 (+.f64 eps (*.f64 2 x))))))
(.f64 -2 (.f64 (sin.f64 (.f64 1/2 eps)) (sin.f64 (.f64 1/2 (+.f64 eps (*.f64 x 2))))))
(.f64 (sin.f64 (.f64 1/2 eps)) (.f64 -2 (sin.f64 (.f64 1/2 (fma.f64 x 2 eps)))))
(.f64 (sin.f64 (fma.f64 1/2 eps x)) (.f64 (sin.f64 (*.f64 1/2 eps)) -2))
(.f64 (sin.f64 (.f64 1/2 eps)) (*.f64 -2 (sin.f64 (fma.f64 1/2 eps x))))
(.f64 -2 (.f64 (sin.f64 (.f64 1/2 eps)) (sin.f64 (.f64 1/2 (+.f64 eps (*.f64 2 x))))))
(.f64 -2 (.f64 (sin.f64 (.f64 1/2 eps)) (sin.f64 (.f64 1/2 (+.f64 eps (*.f64 x 2))))))
(.f64 (sin.f64 (.f64 1/2 eps)) (.f64 -2 (sin.f64 (.f64 1/2 (fma.f64 x 2 eps)))))
(.f64 (sin.f64 (fma.f64 1/2 eps x)) (.f64 (sin.f64 (*.f64 1/2 eps)) -2))
(.f64 (sin.f64 (.f64 1/2 eps)) (*.f64 -2 (sin.f64 (fma.f64 1/2 eps x))))
(.f64 -2 (.f64 (sin.f64 (.f64 1/2 eps)) (sin.f64 (.f64 1/2 (+.f64 eps (*.f64 2 x))))))
(.f64 -2 (.f64 (sin.f64 (.f64 1/2 eps)) (sin.f64 (.f64 1/2 (+.f64 eps (*.f64 x 2))))))
(.f64 (sin.f64 (.f64 1/2 eps)) (.f64 -2 (sin.f64 (.f64 1/2 (fma.f64 x 2 eps)))))
(.f64 (sin.f64 (fma.f64 1/2 eps x)) (.f64 (sin.f64 (*.f64 1/2 eps)) -2))
(.f64 (sin.f64 (.f64 1/2 eps)) (*.f64 -2 (sin.f64 (fma.f64 1/2 eps x))))
(.f64 -2 (.f64 (sin.f64 (.f64 1/2 eps)) (sin.f64 (.f64 1/2 (+.f64 eps (*.f64 2 x))))))
(.f64 -2 (.f64 (sin.f64 (.f64 1/2 eps)) (sin.f64 (.f64 1/2 (+.f64 eps (*.f64 x 2))))))
(.f64 (sin.f64 (.f64 1/2 eps)) (.f64 -2 (sin.f64 (.f64 1/2 (fma.f64 x 2 eps)))))
(.f64 (sin.f64 (fma.f64 1/2 eps x)) (.f64 (sin.f64 (*.f64 1/2 eps)) -2))
(.f64 (sin.f64 (.f64 1/2 eps)) (*.f64 -2 (sin.f64 (fma.f64 1/2 eps x))))
(.f64 -2 (.f64 (sin.f64 (.f64 1/2 eps)) (sin.f64 (.f64 1/2 (-.f64 (.f64 2 x) (.f64 -1 eps))))))
(.f64 -2 (.f64 (sin.f64 (.f64 1/2 eps)) (sin.f64 (.f64 1/2 (+.f64 eps (*.f64 x 2))))))
(.f64 (sin.f64 (.f64 1/2 eps)) (.f64 -2 (sin.f64 (.f64 1/2 (fma.f64 x 2 eps)))))
(.f64 (sin.f64 (fma.f64 1/2 eps x)) (.f64 (sin.f64 (*.f64 1/2 eps)) -2))
(.f64 (sin.f64 (.f64 1/2 eps)) (*.f64 -2 (sin.f64 (fma.f64 1/2 eps x))))
(.f64 -2 (.f64 (sin.f64 (.f64 1/2 eps)) (sin.f64 (.f64 1/2 (-.f64 (.f64 2 x) (.f64 -1 eps))))))
(.f64 -2 (.f64 (sin.f64 (.f64 1/2 eps)) (sin.f64 (.f64 1/2 (+.f64 eps (*.f64 x 2))))))
(.f64 (sin.f64 (.f64 1/2 eps)) (.f64 -2 (sin.f64 (.f64 1/2 (fma.f64 x 2 eps)))))
(.f64 (sin.f64 (fma.f64 1/2 eps x)) (.f64 (sin.f64 (*.f64 1/2 eps)) -2))
(.f64 (sin.f64 (.f64 1/2 eps)) (*.f64 -2 (sin.f64 (fma.f64 1/2 eps x))))
(.f64 -2 (.f64 (sin.f64 (.f64 1/2 eps)) (sin.f64 (.f64 1/2 (-.f64 (.f64 2 x) (.f64 -1 eps))))))
(.f64 -2 (.f64 (sin.f64 (.f64 1/2 eps)) (sin.f64 (.f64 1/2 (+.f64 eps (*.f64 x 2))))))
(.f64 (sin.f64 (.f64 1/2 eps)) (.f64 -2 (sin.f64 (.f64 1/2 (fma.f64 x 2 eps)))))
(.f64 (sin.f64 (fma.f64 1/2 eps x)) (.f64 (sin.f64 (*.f64 1/2 eps)) -2))
(.f64 (sin.f64 (.f64 1/2 eps)) (*.f64 -2 (sin.f64 (fma.f64 1/2 eps x))))
(.f64 -2 (.f64 (sin.f64 (.f64 1/2 eps)) (sin.f64 (.f64 1/2 (-.f64 (.f64 2 x) (.f64 -1 eps))))))
(.f64 -2 (.f64 (sin.f64 (.f64 1/2 eps)) (sin.f64 (.f64 1/2 (+.f64 eps (*.f64 x 2))))))
(.f64 (sin.f64 (.f64 1/2 eps)) (.f64 -2 (sin.f64 (.f64 1/2 (fma.f64 x 2 eps)))))
(.f64 (sin.f64 (fma.f64 1/2 eps x)) (.f64 (sin.f64 (*.f64 1/2 eps)) -2))
(.f64 (sin.f64 (.f64 1/2 eps)) (*.f64 -2 (sin.f64 (fma.f64 1/2 eps x))))
(.f64 -2 (pow.f64 (sin.f64 (.f64 1/2 eps)) 2))
(+.f64 (.f64 -2 (pow.f64 (sin.f64 (.f64 1/2 eps)) 2)) (.f64 -2 (.f64 (sin.f64 (.f64 1/2 eps)) (.f64 (cos.f64 (*.f64 1/2 eps)) x))))
(.f64 -2 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 eps)) 2) (.f64 (sin.f64 (.f64 1/2 eps)) (.f64 x (cos.f64 (.f64 1/2 eps))))))
(.f64 -2 (.f64 (sin.f64 (.f64 1/2 eps)) (fma.f64 x (cos.f64 (.f64 1/2 eps)) (sin.f64 (*.f64 1/2 eps)))))
(.f64 (sin.f64 (.f64 1/2 eps)) (.f64 (fma.f64 x (cos.f64 (.f64 1/2 eps)) (sin.f64 (*.f64 1/2 eps))) -2))
(+.f64 (.f64 -2 (pow.f64 (sin.f64 (.f64 1/2 eps)) 2)) (+.f64 (.f64 (pow.f64 (sin.f64 (.f64 1/2 eps)) 2) (pow.f64 x 2)) (.f64 -2 (.f64 (sin.f64 (.f64 1/2 eps)) (.f64 (cos.f64 (*.f64 1/2 eps)) x)))))
(fma.f64 -2 (pow.f64 (sin.f64 (.f64 1/2 eps)) 2) (fma.f64 (pow.f64 (sin.f64 (.f64 1/2 eps)) 2) (.f64 x x) (.f64 -2 (.f64 (sin.f64 (.f64 1/2 eps)) (.f64 x (cos.f64 (.f64 1/2 eps)))))))
(+.f64 (.f64 (sin.f64 (.f64 1/2 eps)) (.f64 (.f64 x (cos.f64 (.f64 1/2 eps))) -2)) (.f64 (pow.f64 (sin.f64 (.f64 1/2 eps)) 2) (+.f64 -2 (.f64 x x))))
(fma.f64 (sin.f64 (.f64 1/2 eps)) (.f64 x (.f64 (cos.f64 (.f64 1/2 eps)) -2)) (.f64 (pow.f64 (sin.f64 (.f64 1/2 eps)) 2) (+.f64 (*.f64 x x) -2)))
(.f64 (sin.f64 (.f64 1/2 eps)) (+.f64 (.f64 (cos.f64 (.f64 1/2 eps)) (.f64 x -2)) (.f64 (sin.f64 (.f64 1/2 eps)) (+.f64 (.f64 x x) -2))))
(+.f64 (.f64 -2 (pow.f64 (sin.f64 (.f64 1/2 eps)) 2)) (+.f64 (.f64 (pow.f64 (sin.f64 (.f64 1/2 eps)) 2) (pow.f64 x 2)) (+.f64 (.f64 1/3 (.f64 (sin.f64 (.f64 1/2 eps)) (.f64 (cos.f64 (.f64 1/2 eps)) (pow.f64 x 3)))) (.f64 -2 (.f64 (sin.f64 (.f64 1/2 eps)) (.f64 (cos.f64 (.f64 1/2 eps)) x))))))
(fma.f64 -2 (pow.f64 (sin.f64 (.f64 1/2 eps)) 2) (fma.f64 (pow.f64 (sin.f64 (.f64 1/2 eps)) 2) (.f64 x x) (fma.f64 1/3 (.f64 (sin.f64 (.f64 1/2 eps)) (.f64 (cos.f64 (.f64 1/2 eps)) (pow.f64 x 3))) (.f64 -2 (.f64 (sin.f64 (.f64 1/2 eps)) (.f64 x (cos.f64 (.f64 1/2 eps))))))))
(+.f64 (fma.f64 -2 (.f64 (sin.f64 (.f64 1/2 eps)) (.f64 x (cos.f64 (.f64 1/2 eps)))) (.f64 (.f64 (cos.f64 (.f64 1/2 eps)) (pow.f64 x 3)) (.f64 (sin.f64 (.f64 1/2 eps)) 1/3))) (.f64 (pow.f64 (sin.f64 (.f64 1/2 eps)) 2) (+.f64 -2 (.f64 x x))))
(fma.f64 (pow.f64 (sin.f64 (.f64 1/2 eps)) 2) (+.f64 (.f64 x x) -2) (.f64 (.f64 (sin.f64 (.f64 1/2 eps)) (cos.f64 (.f64 1/2 eps))) (+.f64 (.f64 x -2) (.f64 (pow.f64 x 3) 1/3))))
(.f64 (sin.f64 (.f64 1/2 eps)) (+.f64 (.f64 (.f64 x (cos.f64 (.f64 1/2 eps))) (+.f64 (.f64 (.f64 x x) 1/3) -2)) (.f64 (sin.f64 (.f64 1/2 eps)) (+.f64 (.f64 x x) -2))))
(.f64 -2 (.f64 (sin.f64 (.f64 1/2 eps)) (sin.f64 (.f64 1/2 (+.f64 eps (*.f64 2 x))))))
(.f64 -2 (.f64 (sin.f64 (.f64 1/2 eps)) (sin.f64 (.f64 1/2 (+.f64 eps (*.f64 x 2))))))
(.f64 (sin.f64 (.f64 1/2 eps)) (.f64 -2 (sin.f64 (.f64 1/2 (fma.f64 x 2 eps)))))
(.f64 (sin.f64 (fma.f64 1/2 eps x)) (.f64 (sin.f64 (*.f64 1/2 eps)) -2))
(.f64 (sin.f64 (.f64 1/2 eps)) (*.f64 -2 (sin.f64 (fma.f64 1/2 eps x))))
(.f64 -2 (.f64 (sin.f64 (.f64 1/2 eps)) (sin.f64 (.f64 1/2 (+.f64 eps (*.f64 2 x))))))
(.f64 -2 (.f64 (sin.f64 (.f64 1/2 eps)) (sin.f64 (.f64 1/2 (+.f64 eps (*.f64 x 2))))))
(.f64 (sin.f64 (.f64 1/2 eps)) (.f64 -2 (sin.f64 (.f64 1/2 (fma.f64 x 2 eps)))))
(.f64 (sin.f64 (fma.f64 1/2 eps x)) (.f64 (sin.f64 (*.f64 1/2 eps)) -2))
(.f64 (sin.f64 (.f64 1/2 eps)) (*.f64 -2 (sin.f64 (fma.f64 1/2 eps x))))
(.f64 -2 (.f64 (sin.f64 (.f64 1/2 eps)) (sin.f64 (.f64 1/2 (+.f64 eps (*.f64 2 x))))))
(.f64 -2 (.f64 (sin.f64 (.f64 1/2 eps)) (sin.f64 (.f64 1/2 (+.f64 eps (*.f64 x 2))))))
(.f64 (sin.f64 (.f64 1/2 eps)) (.f64 -2 (sin.f64 (.f64 1/2 (fma.f64 x 2 eps)))))
(.f64 (sin.f64 (fma.f64 1/2 eps x)) (.f64 (sin.f64 (*.f64 1/2 eps)) -2))
(.f64 (sin.f64 (.f64 1/2 eps)) (*.f64 -2 (sin.f64 (fma.f64 1/2 eps x))))
(.f64 -2 (.f64 (sin.f64 (.f64 1/2 eps)) (sin.f64 (.f64 1/2 (+.f64 eps (*.f64 2 x))))))
(.f64 -2 (.f64 (sin.f64 (.f64 1/2 eps)) (sin.f64 (.f64 1/2 (+.f64 eps (*.f64 x 2))))))
(.f64 (sin.f64 (.f64 1/2 eps)) (.f64 -2 (sin.f64 (.f64 1/2 (fma.f64 x 2 eps)))))
(.f64 (sin.f64 (fma.f64 1/2 eps x)) (.f64 (sin.f64 (*.f64 1/2 eps)) -2))
(.f64 (sin.f64 (.f64 1/2 eps)) (*.f64 -2 (sin.f64 (fma.f64 1/2 eps x))))
(.f64 -2 (.f64 (sin.f64 (.f64 1/2 (-.f64 eps (.f64 -2 x)))) (sin.f64 (*.f64 1/2 eps))))
(.f64 -2 (.f64 (sin.f64 (.f64 1/2 eps)) (sin.f64 (.f64 1/2 (+.f64 eps (*.f64 x 2))))))
(.f64 (sin.f64 (.f64 1/2 eps)) (.f64 -2 (sin.f64 (.f64 1/2 (fma.f64 x 2 eps)))))
(.f64 (sin.f64 (fma.f64 1/2 eps x)) (.f64 (sin.f64 (*.f64 1/2 eps)) -2))
(.f64 (sin.f64 (.f64 1/2 eps)) (*.f64 -2 (sin.f64 (fma.f64 1/2 eps x))))
(.f64 -2 (.f64 (sin.f64 (.f64 1/2 (-.f64 eps (.f64 -2 x)))) (sin.f64 (*.f64 1/2 eps))))
(.f64 -2 (.f64 (sin.f64 (.f64 1/2 eps)) (sin.f64 (.f64 1/2 (+.f64 eps (*.f64 x 2))))))
(.f64 (sin.f64 (.f64 1/2 eps)) (.f64 -2 (sin.f64 (.f64 1/2 (fma.f64 x 2 eps)))))
(.f64 (sin.f64 (fma.f64 1/2 eps x)) (.f64 (sin.f64 (*.f64 1/2 eps)) -2))
(.f64 (sin.f64 (.f64 1/2 eps)) (*.f64 -2 (sin.f64 (fma.f64 1/2 eps x))))
(.f64 -2 (.f64 (sin.f64 (.f64 1/2 (-.f64 eps (.f64 -2 x)))) (sin.f64 (*.f64 1/2 eps))))
(.f64 -2 (.f64 (sin.f64 (.f64 1/2 eps)) (sin.f64 (.f64 1/2 (+.f64 eps (*.f64 x 2))))))
(.f64 (sin.f64 (.f64 1/2 eps)) (.f64 -2 (sin.f64 (.f64 1/2 (fma.f64 x 2 eps)))))
(.f64 (sin.f64 (fma.f64 1/2 eps x)) (.f64 (sin.f64 (*.f64 1/2 eps)) -2))
(.f64 (sin.f64 (.f64 1/2 eps)) (*.f64 -2 (sin.f64 (fma.f64 1/2 eps x))))
(.f64 -2 (.f64 (sin.f64 (.f64 1/2 (-.f64 eps (.f64 -2 x)))) (sin.f64 (*.f64 1/2 eps))))
(.f64 -2 (.f64 (sin.f64 (.f64 1/2 eps)) (sin.f64 (.f64 1/2 (+.f64 eps (*.f64 x 2))))))
(.f64 (sin.f64 (.f64 1/2 eps)) (.f64 -2 (sin.f64 (.f64 1/2 (fma.f64 x 2 eps)))))
(.f64 (sin.f64 (fma.f64 1/2 eps x)) (.f64 (sin.f64 (*.f64 1/2 eps)) -2))
(.f64 (sin.f64 (.f64 1/2 eps)) (*.f64 -2 (sin.f64 (fma.f64 1/2 eps x))))
x
(+.f64 (*.f64 1/2 eps) x)
(fma.f64 1/2 eps x)
(+.f64 (*.f64 1/2 eps) x)
(fma.f64 1/2 eps x)
(+.f64 (*.f64 1/2 eps) x)
(fma.f64 1/2 eps x)
(*.f64 1/2 eps)
(+.f64 (*.f64 1/2 eps) x)
(fma.f64 1/2 eps x)
(+.f64 (*.f64 1/2 eps) x)
(fma.f64 1/2 eps x)
(+.f64 (*.f64 1/2 eps) x)
(fma.f64 1/2 eps x)
(*.f64 1/2 eps)
(+.f64 (*.f64 1/2 eps) x)
(fma.f64 1/2 eps x)
(+.f64 (*.f64 1/2 eps) x)
(fma.f64 1/2 eps x)
(+.f64 (*.f64 1/2 eps) x)
(fma.f64 1/2 eps x)
(*.f64 1/2 eps)
(+.f64 (*.f64 1/2 eps) x)
(fma.f64 1/2 eps x)
(+.f64 (*.f64 1/2 eps) x)
(fma.f64 1/2 eps x)
(+.f64 (*.f64 1/2 eps) x)
(fma.f64 1/2 eps x)
x
(+.f64 (*.f64 1/2 eps) x)
(fma.f64 1/2 eps x)
(+.f64 (*.f64 1/2 eps) x)
(fma.f64 1/2 eps x)
(+.f64 (*.f64 1/2 eps) x)
(fma.f64 1/2 eps x)
x
(+.f64 (*.f64 1/2 eps) x)
(fma.f64 1/2 eps x)
(+.f64 (*.f64 1/2 eps) x)
(fma.f64 1/2 eps x)
(+.f64 (*.f64 1/2 eps) x)
(fma.f64 1/2 eps x)
(+.f64 (.f64 (sin.f64 0) (cos.f64 0)) (.f64 (sin.f64 0) (cos.f64 0)))
0
(+.f64 (.f64 1 (.f64 (sin.f64 0) (cos.f64 0))) (.f64 1 (.f64 (sin.f64 0) (cos.f64 0))))
0
(-.f64 (exp.f64 (log1p.f64 (sin.f64 0))) 1)
0
(*.f64 (sin.f64 0) 1)
0
(*.f64 1 (sin.f64 0))
0
(*.f64 (sqrt.f64 (sin.f64 0)) (sqrt.f64 (sin.f64 0)))
0
(*.f64 (cbrt.f64 (sin.f64 0)) (pow.f64 (cbrt.f64 (sin.f64 0)) 2))
0
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 0)) 2) (cbrt.f64 (sin.f64 0)))
0
(pow.f64 (sin.f64 0) 1)
0
(pow.f64 (sqrt.f64 (sin.f64 0)) 2)
0
(pow.f64 (cbrt.f64 (sin.f64 0)) 3)
0
(pow.f64 (pow.f64 (sin.f64 0) 3) 1/3)
0
(sqrt.f64 (pow.f64 (sin.f64 0) 2))
(sqrt.f64 0)
(log.f64 (exp.f64 (sin.f64 0)))
0
(log.f64 (+.f64 1 (expm1.f64 (sin.f64 0))))
0
(cbrt.f64 (pow.f64 (sin.f64 0) 3))
0
(expm1.f64 (log1p.f64 (sin.f64 0)))
0
(exp.f64 (log.f64 (sin.f64 0)))
0
(log1p.f64 (expm1.f64 (sin.f64 0)))
0
(+.f64 (.f64 (.f64 (sin.f64 0) -2) (.f64 (sin.f64 0) (cos.f64 0))) (.f64 (.f64 (sin.f64 0) -2) (.f64 (sin.f64 0) (cos.f64 0))))
0
(-.f64 (exp.f64 (log1p.f64 (*.f64 -2 (pow.f64 (sin.f64 0) 2)))) 1)
0
(/.f64 (*.f64 -2 (-.f64 (cos.f64 0) (cos.f64 0))) 2)
0
(/.f64 (*.f64 (-.f64 (cos.f64 0) (cos.f64 0)) -2) 2)
0
(pow.f64 (*.f64 -2 (pow.f64 (sin.f64 0) 2)) 1)
0
(pow.f64 (*.f64 (sin.f64 0) (sqrt.f64 -2)) 2)
0
(pow.f64 (cbrt.f64 (*.f64 -2 (pow.f64 (sin.f64 0) 2))) 3)
0
(pow.f64 (pow.f64 (*.f64 -2 (pow.f64 (sin.f64 0) 2)) 3) 1/3)
0
(sqrt.f64 (pow.f64 (*.f64 -2 (pow.f64 (sin.f64 0) 2)) 2))
(sqrt.f64 0)
(log.f64 (pow.f64 (exp.f64 (pow.f64 (sin.f64 0) 2)) -2))
0
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -2 (pow.f64 (sin.f64 0) 2)))))
0
(cbrt.f64 (pow.f64 (*.f64 -2 (pow.f64 (sin.f64 0) 2)) 3))
0
(cbrt.f64 (.f64 (pow.f64 (sin.f64 0) 3) (pow.f64 (.f64 (sin.f64 0) -2) 3)))
0
(expm1.f64 (log1p.f64 (*.f64 -2 (pow.f64 (sin.f64 0) 2))))
0
(exp.f64 (log.f64 (*.f64 -2 (pow.f64 (sin.f64 0) 2))))
0
(log1p.f64 (expm1.f64 (*.f64 -2 (pow.f64 (sin.f64 0) 2))))
0
0

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (*.f64 x (neg.f64 (sin.f64 eps))) (cos.f64 x))
	0.1b	(*.f64 (cos.f64 x) (cos.f64 eps))
✓	0.1b	(*.f64 x (neg.f64 (sin.f64 eps)))
✓	2.1b	(+.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (-.f64 (.f64 x (neg.f64 (sin.f64 eps))) (cos.f64 x)))

Compiler

Compiled 45 to 10 computations (77.8% saved)

series4.0ms (0%)

Counts

3 → 72

Calls

18 calls:

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

rewrite151.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1692×	`associate-*r/`
1246×	`associate-*l/`
318×	`add-sqr-sqrt`
316×	`associate-+l+`
310×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	81
1	292	69
2	4234	69

Stop Event

1×	node limit

Counts

3 → 200

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (fma.f64 x (sin.f64 eps) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x (sin.f64 eps)) (-.f64 (cos.f64 x) (*.f64 (cos.f64 x) (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (*.f64 x (sin.f64 eps))) (cos.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (-.f64 (*.f64 x (sin.f64 eps)) (+.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (neg.f64 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (+.f64 (*.f64 x (sin.f64 eps)) (-.f64 (cos.f64 x) (*.f64 (cos.f64 x) (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (-.f64 (*.f64 x (sin.f64 eps)) (cos.f64 x)))) (-.f64 1 (*.f64 (cos.f64 x) (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (sin.f64 eps)))) (-.f64 1 (+.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (neg.f64 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (sin.f64 eps)))) (+.f64 1 (-.f64 (cos.f64 x) (*.f64 (cos.f64 x) (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 x) (cos.f64 eps)))) (-.f64 1 (-.f64 (*.f64 x (sin.f64 eps)) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (fma.f64 x (sin.f64 eps) (cos.f64 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (*.f64 x (sin.f64 eps)) 2) (fma.f64 x (sin.f64 eps) (cos.f64 x))) (-.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (fma.f64 x (sin.f64 eps) (cos.f64 x))) (*.f64 (cos.f64 x) (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (*.f64 x (sin.f64 eps)) 3) (+.f64 (pow.f64 (*.f64 x (sin.f64 eps)) 2) (*.f64 (cos.f64 x) (fma.f64 x (sin.f64 eps) (cos.f64 x))))) (-.f64 (/.f64 (pow.f64 (cos.f64 x) 3) (+.f64 (pow.f64 (*.f64 x (sin.f64 eps)) 2) (*.f64 (cos.f64 x) (fma.f64 x (sin.f64 eps) (cos.f64 x))))) (*.f64 (cos.f64 x) (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) 2) (+.f64 (cos.f64 x) (fma.f64 (cos.f64 x) (cos.f64 eps) (*.f64 x (sin.f64 eps))))) (/.f64 (pow.f64 (-.f64 (*.f64 x (sin.f64 eps)) (cos.f64 x)) 2) (+.f64 (cos.f64 x) (fma.f64 (cos.f64 x) (cos.f64 eps) (*.f64 x (sin.f64 eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (exp.f64 (log1p.f64 (-.f64 (*.f64 x (sin.f64 eps)) (cos.f64 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (/.f64 (pow.f64 (*.f64 x (sin.f64 eps)) 2) (fma.f64 x (sin.f64 eps) (cos.f64 x)))) (/.f64 (pow.f64 (cos.f64 x) 2) (fma.f64 x (sin.f64 eps) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (/.f64 (pow.f64 (*.f64 x (sin.f64 eps)) 3) (+.f64 (pow.f64 (*.f64 x (sin.f64 eps)) 2) 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simplify200.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1222×	`associate--r+`
1168×	`associate--l+`
992×	`fma-def`
594×	`associate-r`
536×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	587	16514
1	1587	15824
2	6834	15812

Stop Event

1×	node limit

Counts

272 → 351

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

eval889.0ms (4.6%)

Compiler: Compiled 56957 to 29355 computations (48.5% saved)

prune665.0ms (3.4%)

Pruning

65 alts after pruning (62 fresh and 3 done)

	Pruned	Kept	Total
New	1541	25	1566
Fresh	13	37	50
Picked	1	0	1
Done	3	3	6
Total	1558	65	1623

Error

0.0b

Counts

1623 → 65

Alt Table

Click to see full alt table

Status	Error	Program
	39.9b	(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 eps) (sin.f64 x) (cos.f64 x))))
	24.9b	(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x))))
	61.7b	(pow.f64 (cbrt.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))) 3)
	39.2b	(pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 3)
	39.0b	(/.f64 (fma.f64 (cos.f64 eps) (cos.f64 eps) -1) (+.f64 (cos.f64 eps) 1))
	56.6b	(/.f64 (.f64 (-.f64 (cos.f64 (-.f64 (.f64 (+.f64 x (-.f64 eps x)) 1/2) (*.f64 (+.f64 eps (+.f64 x x)) 1/2))) (cos.f64 x)) -2) 2)
▶	39.0b	(/.f64 (.f64 (-.f64 (cos.f64 (-.f64 (.f64 (+.f64 x (-.f64 eps x)) 1/2) (*.f64 (+.f64 eps (+.f64 x x)) 1/2))) (cos.f64 eps)) -2) 2)
	39.6b	(/.f64 (.f64 (-.f64 (cos.f64 (-.f64 (.f64 1/2 eps) (.f64 1/2 (-.f64 eps (.f64 -2 x))))) (cos.f64 (+.f64 (.f64 1/2 (-.f64 eps (.f64 -2 x))) (*.f64 1/2 eps)))) -2) 2)
	39.7b	(/.f64 (.f64 (-.f64 (cos.f64 (+.f64 (+.f64 (.f64 (fma.f64 2 x eps) -1/2) (.f64 (-.f64 eps x) 1/2)) (.f64 x 1/2))) (cos.f64 (+.f64 (.f64 (+.f64 x (-.f64 eps x)) 1/2) (.f64 (+.f64 eps (+.f64 x x)) 1/2)))) -2) 2)
	32.9b	(/.f64 (.f64 (+.f64 (.f64 eps (sin.f64 x)) (+.f64 (+.f64 (.f64 (cos.f64 x) (.f64 (.f64 eps 1/2) eps)) (.f64 (sin.f64 x) (*.f64 -1/6 (pow.f64 eps 3)))) 0)) -2) 2)
	34.0b	(/.f64 (*.f64 (sin.f64 eps) (sin.f64 eps)) (-.f64 -1 (cos.f64 eps)))
	57.3b	(/.f64 (*.f64 0 -2) 2)
	34.1b	(/.f64 (sin.f64 eps) (/.f64 (-.f64 -1 (cos.f64 eps)) (sin.f64 eps)))
	39.6b	(/.f64 1 (/.f64 1 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
	25.0b	(-.f64 (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))
	5.7b	(-.f64 (-.f64 (.f64 (cos.f64 eps) (cos.f64 x)) (cos.f64 x)) (.f64 (sin.f64 x) (sin.f64 eps)))
	40.4b	(-.f64 (-.f64 (cos.f64 eps) (*.f64 x (sin.f64 eps))) (cos.f64 x))
	61.7b	(-.f64 (+.f64 (cos.f64 (+.f64 x eps)) (exp.f64 (log1p.f64 (cos.f64 x)))) 1)
	38.0b	(-.f64 (+.f64 (cos.f64 eps) -1) (*.f64 x (sin.f64 eps)))
	5.7b	(-.f64 (.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)) (.f64 (sin.f64 eps) (sin.f64 x)))
	32.6b	(-.f64 (.f64 (.f64 eps eps) (.f64 -1/2 (cos.f64 x))) (.f64 eps (sin.f64 x)))
	50.3b	(-.f64 (.f64 (cos.f64 x) (.f64 -1/2 (.f64 eps eps))) (.f64 eps x))
	25.0b	(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))
▶	25.0b	(-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (.f64 (sin.f64 eps) (sin.f64 x))))
	25.2b	(-.f64 (log.f64 (exp.f64 (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (.f64 (sin.f64 x) (sin.f64 eps))))) (cos.f64 x))
	39.1b	(-.f64 (log.f64 (exp.f64 (cos.f64 eps))) (cos.f64 x))
✓	39.6b	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
	57.1b	(-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))
	39.0b	(-.f64 (cos.f64 eps) (cos.f64 x))
✓	38.9b	(-.f64 (cos.f64 eps) 1)
	5.8b	(+.f64 (/.f64 (cos.f64 x) (/.f64 1 (+.f64 (cos.f64 eps) -1))) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	18.9b	(+.f64 (-.f64 (cos.f64 eps) 1) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	5.8b	(+.f64 (.f64 (+.f64 (cos.f64 eps) -1) (log.f64 (exp.f64 (cos.f64 x)))) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	32.6b	(+.f64 (.f64 (.f64 eps eps) (.f64 (cos.f64 x) -1/2)) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	7.0b	(+.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (/.f64 (.f64 (-.f64 0 (pow.f64 (sin.f64 x) 2)) (sin.f64 eps)) (sin.f64 x)))
	20.0b	(+.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (/.f64 (.f64 (sin.f64 eps) (neg.f64 (pow.f64 (sin.f64 x) 3))) (+.f64 0 (pow.f64 (sin.f64 x) 2))))
	5.8b	(+.f64 (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (/.f64 (sin.f64 eps) (/.f64 (sin.f64 x) (neg.f64 (pow.f64 (sin.f64 x) 2)))))
	19.2b	(+.f64 (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (/.f64 (neg.f64 (pow.f64 (sin.f64 x) 3)) (/.f64 (+.f64 0 (pow.f64 (sin.f64 x) 2)) (sin.f64 eps))))
	25.0b	(+.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (+.f64 (-.f64 0 (exp.f64 (log1p.f64 (.f64 (sin.f64 eps) (sin.f64 x))))) 1))
	37.9b	(+.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 x (neg.f64 (sin.f64 eps))))
▶	0.6b	(+.f64 (.f64 (cos.f64 x) (.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)) (/.f64 1 (+.f64 (cos.f64 eps) 1)))) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	5.8b	(+.f64 (.f64 (cos.f64 x) (log.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)))) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	38.3b	(+.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (neg.f64 (cos.f64 x)))
	25.1b	(+.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (cbrt.f64 (pow.f64 (neg.f64 (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x))) 3)))
	39.1b	(+.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) -1)
	25.1b	(+.f64 (.f64 (cos.f64 eps) (log.f64 (exp.f64 (cos.f64 x)))) (-.f64 (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))) (cos.f64 x)))
	55.1b	(+.f64 (cos.f64 x) (-.f64 (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))) (cos.f64 x)))
	61.7b	(+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))
	38.0b	(+.f64 (cos.f64 eps) (-.f64 (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))) (cos.f64 x)))
	40.8b	(+.f64 (cos.f64 eps) (+.f64 (-.f64 (.f64 (+.f64 (cos.f64 eps) -1) (.f64 (.f64 x x) -1/2)) (.f64 x (sin.f64 eps))) -1))
	39.0b	(*.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1) (/.f64 1 (+.f64 (cos.f64 eps) 1)))
	37.7b	(*.f64 (sin.f64 x) (neg.f64 eps))
	55.1b	(*.f64 x (neg.f64 (sin.f64 eps)))
▶	55.4b	(*.f64 eps (neg.f64 x))
✓	52.5b	(.f64 -1/2 (.f64 eps eps))
	14.5b	(.f64 -2 (.f64 (sin.f64 (/.f64 (+.f64 eps (-.f64 x x)) 2)) (sin.f64 (/.f64 (+.f64 eps (+.f64 x x)) 2))))
	57.4b	(neg.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))))
	39.0b	(log1p.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1)))
	39.0b	(log.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)))
	56.5b	(fabs.f64 (-.f64 (cos.f64 eps) 1))
▶	47.2b	(fabs.f64 (.f64 (sin.f64 (.f64 1/2 (+.f64 eps 0))) (*.f64 (sin.f64 x) -2)))
	48.4b	(fabs.f64 (.f64 eps (-.f64 (.f64 eps (*.f64 (cos.f64 x) -1/2)) (sin.f64 x))))
	56.5b	(fabs.f64 (.f64 -2 (pow.f64 (sin.f64 (.f64 1/2 eps)) 2)))
	46.7b	(expm1.f64 (log.f64 (cos.f64 eps)))
	39.1b	(cbrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 3))

Compiler

Compiled 1922 to 1388 computations (27.8% saved)

localize35.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 91 to 48 computations (47.3% saved)

series3.0ms (0%)

Counts

3 → 28

Calls

9 calls:

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

rewrite175.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1012×	`associate-/r*`
984×	`associate-*r/`
978×	`*-commutative`
690×	`associate-/l*`
680×	`associate-*l/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	13	33
1	275	33
2	3496	21

Stop Event

1×	node limit

Counts

3 → 743

Calls

Call 1

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

simplify330.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

1618×	`associate-*r/`
966×	`associate-+r-`
840×	`*-commutative`
822×	`distribute-lft-in`
738×	`fma-def`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1023	24169
1	2627	22935
2	7608	22935

Stop Event

1×	node limit

Counts

771 → 789

Calls

Call 1

Inputs
2
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) 2)
(+.f64 (.f64 1/24 (pow.f64 eps 4)) (+.f64 (.f64 -1/2 (pow.f64 eps 2)) 2))
(+.f64 (.f64 1/24 (pow.f64 eps 4)) (+.f64 (.f64 -1/2 (pow.f64 eps 2)) (+.f64 2 (*.f64 -1/720 (pow.f64 eps 6)))))
(+.f64 1 (cos.f64 eps))
(+.f64 1 (cos.f64 eps))
(+.f64 1 (cos.f64 eps))
(+.f64 1 (cos.f64 eps))
(+.f64 1 (cos.f64 eps))
(+.f64 1 (cos.f64 eps))
(+.f64 1 (cos.f64 eps))
(+.f64 1 (cos.f64 eps))
(pow.f64 eps 2)
(+.f64 (pow.f64 eps 2) (*.f64 -1/3 (pow.f64 eps 4)))
(+.f64 (pow.f64 eps 2) (+.f64 (.f64 -1/3 (pow.f64 eps 4)) (.f64 2/45 (pow.f64 eps 6))))
(+.f64 (pow.f64 eps 2) (+.f64 (.f64 -1/315 (pow.f64 eps 8)) (+.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 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (+.f64 1 (cos.f64 eps))))
(*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (+.f64 1 (cos.f64 eps))))
(*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (+.f64 1 (cos.f64 eps))))
(*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (+.f64 1 (cos.f64 eps))))
(*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (+.f64 1 (cos.f64 eps))))
(*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (+.f64 1 (cos.f64 eps))))
(*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (+.f64 1 (cos.f64 eps))))
(*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (+.f64 1 (cos.f64 eps))))
(-.f64 (cos.f64 eps) 1)
(-.f64 (cos.f64 eps) -1)
(-.f64 1 (cos.f64 eps))
(-.f64 1 (neg.f64 (cos.f64 eps)))
(-.f64 (sin.f64 eps) 2)
(-.f64 (sin.f64 eps) 0)
(-.f64 0 (sin.f64 eps))
(-.f64 -1 (cos.f64 eps))
(-.f64 (/.f64 0 (sin.f64 eps)) (sin.f64 eps))
(-.f64 (/.f64 (pow.f64 (cos.f64 eps) 2) (sin.f64 eps)) (/.f64 1 (sin.f64 eps)))
(-.f64 (-.f64 0 (neg.f64 (cos.f64 eps))) -1)
(-.f64 (-.f64 (/.f64 0 (sin.f64 eps)) (cos.f64 eps)) -1)
(*.f64 1 (sin.f64 eps))
(*.f64 (sin.f64 eps) 1)
(*.f64 (sin.f64 eps) -1)
(*.f64 (sin.f64 eps) (sqrt.f64 -1))
(*.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (sin.f64 eps)))
(*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 1 (sin.f64 eps)))
(*.f64 (pow.f64 (sin.f64 eps) 2) (neg.f64 (/.f64 1 (sin.f64 eps))))
(*.f64 (/.f64 1 (sin.f64 eps)) (pow.f64 (sin.f64 eps) 2))
(.f64 (pow.f64 (sin.f64 eps) -1/2) (.f64 (sin.f64 eps) (sqrt.f64 (sin.f64 eps))))
(*.f64 (sqrt.f64 (sin.f64 eps)) (sqrt.f64 (sin.f64 eps)))
(*.f64 (sqrt.f64 (sin.f64 eps)) (neg.f64 (sqrt.f64 (sin.f64 eps))))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 eps) 4)) (/.f64 1 (cbrt.f64 (sin.f64 eps))))
(*.f64 (/.f64 1 (cbrt.f64 (sin.f64 eps))) (cbrt.f64 (pow.f64 (sin.f64 eps) 4)))
(.f64 (/.f64 1 (cbrt.f64 (sin.f64 eps))) (.f64 (pow.f64 (sin.f64 eps) 2) (cbrt.f64 (pow.f64 (sin.f64 eps) -2))))
(.f64 (/.f64 1 (cbrt.f64 (sin.f64 eps))) (.f64 (sin.f64 eps) (cbrt.f64 (sin.f64 eps))))
(*.f64 (/.f64 1 (cbrt.f64 (sin.f64 eps))) (/.f64 (cbrt.f64 (pow.f64 (sin.f64 eps) 4)) 1))
(.f64 (cbrt.f64 (pow.f64 (sin.f64 eps) -2)) (.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 (cbrt.f64 (sin.f64 eps)) 2) (/.f64 (cbrt.f64 (pow.f64 (sin.f64 eps) 4)) (sin.f64 eps)))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 2) (neg.f64 (cbrt.f64 (sin.f64 eps))))
(*.f64 (cbrt.f64 (sin.f64 eps)) (pow.f64 (cbrt.f64 (sin.f64 eps)) 2))
(*.f64 (cbrt.f64 (sin.f64 eps)) (neg.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 2)))
(*.f64 -1 (sin.f64 eps))
(*.f64 (+.f64 1 (pow.f64 (cos.f64 eps) 3)) (/.f64 1 (+.f64 (sin.f64 eps) (pow.f64 (cos.f64 eps) 2))))
(*.f64 (+.f64 (sin.f64 eps) (pow.f64 (cos.f64 eps) 2)) (/.f64 (pow.f64 (sin.f64 eps) 2) (+.f64 1 (pow.f64 (cos.f64 eps) 3))))
(*.f64 (sqrt.f64 -1) (sin.f64 eps))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (sin.f64 eps) 4))) (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 2)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 2)) (sqrt.f64 (cbrt.f64 (pow.f64 (sin.f64 eps) 4))))
(.f64 (.f64 (pow.f64 (sin.f64 eps) 2) (cbrt.f64 (pow.f64 (sin.f64 eps) -2))) (/.f64 1 (cbrt.f64 (sin.f64 eps))))
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(/.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (cbrt.f64 (pow.f64 (sin.f64 eps) 4)) (sin.f64 eps))) (pow.f64 (cbrt.f64 (sin.f64 eps)) 2))
(/.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (*.f64 (sin.f64 eps) (cbrt.f64 (sin.f64 eps)))) (/.f64 1 (cbrt.f64 (sin.f64 eps))))
(/.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (pow.f64 (sin.f64 eps) 2) (+.f64 1 (pow.f64 (cos.f64 eps) 3)))) (+.f64 (sin.f64 eps) (pow.f64 (cos.f64 eps) 2)))
(/.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (+.f64 1 (sqrt.f64 (cos.f64 eps)))) (-.f64 (sqrt.f64 (cos.f64 eps)) 1))
(/.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (cbrt.f64 (pow.f64 (sin.f64 eps) 4)) 1)) (/.f64 1 (cbrt.f64 (sin.f64 eps))))
(/.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (sin.f64 eps) (cbrt.f64 (sqrt.f64 (sin.f64 eps))))) (/.f64 (cbrt.f64 (sin.f64 eps)) (cbrt.f64 (sqrt.f64 (sin.f64 eps)))))
(/.f64 (/.f64 (sqrt.f64 (sin.f64 eps)) 1) (pow.f64 (sin.f64 eps) -1/2))
(/.f64 (/.f64 (sqrt.f64 (sin.f64 eps)) (/.f64 1 (cbrt.f64 (sin.f64 eps)))) (cbrt.f64 (pow.f64 (sin.f64 eps) -1/2)))
(/.f64 (/.f64 (sqrt.f64 (sin.f64 eps)) (sqrt.f64 (cbrt.f64 (pow.f64 (sin.f64 eps) -2)))) (sqrt.f64 (/.f64 1 (cbrt.f64 (sin.f64 eps)))))
(/.f64 (/.f64 (sqrt.f64 (sin.f64 eps)) (sqrt.f64 (pow.f64 (sin.f64 eps) -1/2))) (sqrt.f64 (pow.f64 (sin.f64 eps) -1/2)))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 2) (sqrt.f64 (/.f64 1 (cbrt.f64 (sin.f64 eps))))) (sqrt.f64 (/.f64 1 (cbrt.f64 (sin.f64 eps)))))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 2) (cbrt.f64 (cbrt.f64 (pow.f64 (sin.f64 eps) -2)))) (cbrt.f64 (/.f64 1 (cbrt.f64 (sin.f64 eps)))))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 2) (cbrt.f64 (pow.f64 (sin.f64 eps) -1/2))) (cbrt.f64 (pow.f64 (sin.f64 eps) -1/2)))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 2) (*.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 (sin.f64 eps)))) (cbrt.f64 (/.f64 1 (cbrt.f64 (sin.f64 eps)))))) (cbrt.f64 (/.f64 1 (cbrt.f64 (sin.f64 eps)))))
(/.f64 (/.f64 (+.f64 1 (pow.f64 (cos.f64 eps) 3)) 1) (+.f64 (sin.f64 eps) (pow.f64 (cos.f64 eps) 2)))
(/.f64 (/.f64 (+.f64 1 (pow.f64 (cos.f64 eps) 3)) (sqrt.f64 (+.f64 (sin.f64 eps) (pow.f64 (cos.f64 eps) 2)))) (sqrt.f64 (+.f64 (sin.f64 eps) (pow.f64 (cos.f64 eps) 2))))
(/.f64 (/.f64 (+.f64 1 (pow.f64 (cos.f64 eps) 3)) (*.f64 (cbrt.f64 (+.f64 (sin.f64 eps) (pow.f64 (cos.f64 eps) 2))) (cbrt.f64 (+.f64 (sin.f64 eps) (pow.f64 (cos.f64 eps) 2))))) (cbrt.f64 (+.f64 (sin.f64 eps) (pow.f64 (cos.f64 eps) 2))))
(/.f64 (/.f64 (neg.f64 (+.f64 1 (pow.f64 (cos.f64 eps) 3))) 1) (+.f64 (sin.f64 eps) (pow.f64 (cos.f64 eps) 2)))
(/.f64 (/.f64 (neg.f64 (+.f64 1 (pow.f64 (cos.f64 eps) 3))) (sqrt.f64 (+.f64 (sin.f64 eps) (pow.f64 (cos.f64 eps) 2)))) (sqrt.f64 (+.f64 (sin.f64 eps) (pow.f64 (cos.f64 eps) 2))))
(/.f64 (/.f64 (neg.f64 (+.f64 1 (pow.f64 (cos.f64 eps) 3))) (*.f64 (cbrt.f64 (+.f64 (sin.f64 eps) (pow.f64 (cos.f64 eps) 2))) (cbrt.f64 (+.f64 (sin.f64 eps) (pow.f64 (cos.f64 eps) 2))))) (cbrt.f64 (+.f64 (sin.f64 eps) (pow.f64 (cos.f64 eps) 2))))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 2) 1) (/.f64 1 (cbrt.f64 (sin.f64 eps))))
(pow.f64 (sin.f64 eps) 1)
(pow.f64 (pow.f64 (sin.f64 eps) 2) 1/2)
(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))
(fabs.f64 (sin.f64 eps))
(log.f64 (exp.f64 (sin.f64 eps)))
(log.f64 (+.f64 1 (expm1.f64 (sin.f64 eps))))
(cbrt.f64 (pow.f64 (sin.f64 eps) 3))
(cbrt.f64 (*.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 3)) (pow.f64 (pow.f64 (sin.f64 eps) 2) 3)))
(sin.f64 eps)
(expm1.f64 (log.f64 (cos.f64 eps)))
(exp.f64 (log.f64 (sin.f64 eps)))
(log1p.f64 (expm1.f64 (sin.f64 eps)))
(fma.f64 1 (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 (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)
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 eps)) 2) (cbrt.f64 (cos.f64 eps)) -1)

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

localize5.0ms (0%)

Compiler: Compiled 10 to 4 computations (60% saved)

localize43.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 (+.f64 eps (+.f64 x x)) 1/2)
✓	1.2b	(-.f64 (cos.f64 (-.f64 (.f64 (+.f64 x (-.f64 eps x)) 1/2) (.f64 (+.f64 eps (+.f64 x x)) 1/2))) (cos.f64 eps))
	2.4b	(+.f64 x (-.f64 eps x))
	2.4b	(-.f64 (.f64 (+.f64 x (-.f64 eps x)) 1/2) (.f64 (+.f64 eps (+.f64 x x)) 1/2))

Compiler

Compiled 133 to 52 computations (60.9% saved)

series1.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite107.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1134×	`associate-+l+`
618×	`+-commutative`
530×	`associate-+r+`
454×	`add-sqr-sqrt`
442×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	70
1	404	56
2	6427	56

Stop Event

1×	node limit

Counts

2 → 104

Calls

Call 1

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

Outputs

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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/2 x) (*.f64 1/2 (+.f64 x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/2 eps) (*.f64 1/2 (/.f64 0 0)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/2 (/.f64 0 0)) (*.f64 1/2 eps))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/2 (+.f64 x eps)) (*.f64 1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 1/2) (*.f64 (+.f64 x eps) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 eps 1/2) (*.f64 (/.f64 0 0) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 0 0) 1/2) (*.f64 eps 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 x eps) 1/2) (*.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 1/2 (fma.f64 2 x eps)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/2 (-.f64 (*.f64 eps eps) (/.f64 0 0))) (-.f64 eps (/.f64 0 0)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/2 (+.f64 x (+.f64 x (pow.f64 eps 3)))) (fma.f64 eps eps (-.f64 (/.f64 0 0) (*.f64 eps (/.f64 0 0)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 eps eps) (/.f64 0 0)) 1/2) (-.f64 eps (/.f64 0 0)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 x (+.f64 x (pow.f64 eps 3))) 1/2) (fma.f64 eps eps (-.f64 (/.f64 0 0) (*.f64 eps (/.f64 0 0)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/2 (fma.f64 2 x eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 1/2 (fma.f64 2 x eps))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 1/2 (fma.f64 2 x eps))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (fma.f64 2 x eps) 3) 1/8) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (fma.f64 2 x eps) 2) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (fma.f64 2 x eps)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 1/2 (fma.f64 2 x eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (fma.f64 2 x eps) 3) 1/8))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/2 (fma.f64 2 x eps))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1/2 (fma.f64 2 x eps))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 1/2 (fma.f64 2 x eps))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/2 (fma.f64 2 x eps))))))))

simplify59.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

176×	`+-commutative`
84×	`*-commutative`
74×	`associate-+r+`
70×	`fma-def`
56×	`sqr-pow`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	321	7286
1	919	7286

Stop Event

1×

unsound

Counts

152 → 164

Calls

Call 1

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

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

localize22.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (sin.f64 (.f64 1/2 (+.f64 eps 0))) (*.f64 (sin.f64 x) -2))

Compiler

Compiled 50 to 36 computations (28% saved)

series7.0ms (0%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
4.0ms	x	@	inf	(.f64 (sin.f64 (.f64 1/2 (+.f64 eps 0))) (*.f64 (sin.f64 x) -2))
0.0ms	eps	@	inf	(.f64 (sin.f64 (.f64 1/2 (+.f64 eps 0))) (*.f64 (sin.f64 x) -2))
0.0ms	x	@	-inf	(.f64 (sin.f64 (.f64 1/2 (+.f64 eps 0))) (*.f64 (sin.f64 x) -2))
0.0ms	eps	@	-inf	(.f64 (sin.f64 (.f64 1/2 (+.f64 eps 0))) (*.f64 (sin.f64 x) -2))
0.0ms	eps	@	0	(.f64 (sin.f64 (.f64 1/2 (+.f64 eps 0))) (*.f64 (sin.f64 x) -2))

rewrite67.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1060×	`*-commutative`
770×	`unswap-sqr`
648×	`swap-sqr`
514×	`associate-*r/`
424×	`sqr-pow`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	27
1	296	27
2	3233	27

Stop Event

1×	node limit

Counts

1 → 17

Calls

Call 1

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

Outputs

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

simplify53.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1756×	`fma-def`
1410×	`distribute-lft-in`
1296×	`distribute-rgt-in`
808×	`associate-+r+`
764×	`associate-+l+`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	107	1399
1	294	1375
2	914	1295
3	2449	1247

Stop Event

1×	node limit

Counts

41 → 62

Calls

Call 1

Inputs
(.f64 -1 (.f64 eps (sin.f64 x)))
(+.f64 (.f64 1/24 (.f64 (pow.f64 eps 3) (sin.f64 x))) (.f64 -1 (.f64 eps (sin.f64 x))))
(+.f64 (.f64 1/24 (.f64 (pow.f64 eps 3) (sin.f64 x))) (+.f64 (.f64 -1 (.f64 eps (sin.f64 x))) (.f64 -1/1920 (.f64 (pow.f64 eps 5) (sin.f64 x)))))
(+.f64 (.f64 1/24 (.f64 (pow.f64 eps 3) (sin.f64 x))) (+.f64 (.f64 1/322560 (.f64 (pow.f64 eps 7) (sin.f64 x))) (+.f64 (.f64 -1 (.f64 eps (sin.f64 x))) (.f64 -1/1920 (.f64 (pow.f64 eps 5) (sin.f64 x))))))
(.f64 -2 (.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 x)))
(.f64 -2 (.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 x)))
(.f64 -2 (.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 x)))
(.f64 -2 (.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 x)))
(.f64 -2 (.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 x)))
(.f64 -2 (.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 x)))
(.f64 -2 (.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 x)))
(.f64 -2 (.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 x)))
(.f64 -2 (.f64 (sin.f64 (*.f64 1/2 eps)) x))
(+.f64 (.f64 1/3 (.f64 (sin.f64 (.f64 1/2 eps)) (pow.f64 x 3))) (.f64 -2 (.f64 (sin.f64 (.f64 1/2 eps)) x)))
(+.f64 (.f64 1/3 (.f64 (sin.f64 (.f64 1/2 eps)) (pow.f64 x 3))) (+.f64 (.f64 -1/60 (.f64 (sin.f64 (.f64 1/2 eps)) (pow.f64 x 5))) (.f64 -2 (.f64 (sin.f64 (*.f64 1/2 eps)) x))))
(+.f64 (.f64 1/3 (.f64 (sin.f64 (.f64 1/2 eps)) (pow.f64 x 3))) (+.f64 (.f64 -1/60 (.f64 (sin.f64 (.f64 1/2 eps)) (pow.f64 x 5))) (+.f64 (.f64 1/2520 (.f64 (sin.f64 (.f64 1/2 eps)) (pow.f64 x 7))) (.f64 -2 (.f64 (sin.f64 (.f64 1/2 eps)) x)))))
(.f64 -2 (.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 x)))
(.f64 -2 (.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 x)))
(.f64 -2 (.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 x)))
(.f64 -2 (.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 x)))
(.f64 -2 (.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 x)))
(.f64 -2 (.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 x)))
(.f64 -2 (.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 x)))
(.f64 -2 (.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 x)))
(+.f64 (.f64 (.f64 (sin.f64 x) -2) (.f64 (sin.f64 (.f64 1/2 eps)) (cos.f64 0))) (.f64 (.f64 (sin.f64 x) -2) (.f64 (cos.f64 (.f64 1/2 eps)) (sin.f64 0))))
(+.f64 (.f64 (.f64 (sin.f64 (.f64 1/2 eps)) (cos.f64 0)) (.f64 (sin.f64 x) -2)) (.f64 (.f64 (cos.f64 (.f64 1/2 eps)) (sin.f64 0)) (.f64 (sin.f64 x) -2)))
(-.f64 (exp.f64 (log1p.f64 (.f64 (sin.f64 (.f64 1/2 eps)) (*.f64 (sin.f64 x) -2)))) 1)
(/.f64 (.f64 -2 (-.f64 (cos.f64 (-.f64 (.f64 1/2 eps) x)) (cos.f64 (+.f64 (*.f64 1/2 eps) x)))) 2)
(/.f64 (.f64 (-.f64 (cos.f64 (-.f64 (.f64 1/2 eps) x)) (cos.f64 (+.f64 (*.f64 1/2 eps) x))) -2) 2)
(pow.f64 (.f64 (sin.f64 (.f64 1/2 eps)) (*.f64 (sin.f64 x) -2)) 1)
(pow.f64 (sqrt.f64 (.f64 (sin.f64 (.f64 1/2 eps)) (*.f64 (sin.f64 x) -2))) 2)
(pow.f64 (cbrt.f64 (.f64 (sin.f64 (.f64 1/2 eps)) (*.f64 (sin.f64 x) -2))) 3)
(pow.f64 (pow.f64 (.f64 (sin.f64 (.f64 1/2 eps)) (*.f64 (sin.f64 x) -2)) 3) 1/3)
(sqrt.f64 (pow.f64 (.f64 (sin.f64 (.f64 1/2 eps)) (*.f64 (sin.f64 x) -2)) 2))
(log.f64 (pow.f64 (exp.f64 (sin.f64 (.f64 1/2 eps))) (.f64 (sin.f64 x) -2)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (sin.f64 (.f64 1/2 eps)) (*.f64 (sin.f64 x) -2)))))
(cbrt.f64 (pow.f64 (.f64 (sin.f64 (.f64 1/2 eps)) (*.f64 (sin.f64 x) -2)) 3))
(cbrt.f64 (.f64 (pow.f64 (sin.f64 (.f64 1/2 eps)) 3) (pow.f64 (*.f64 (sin.f64 x) -2) 3)))
(expm1.f64 (log1p.f64 (.f64 (sin.f64 (.f64 1/2 eps)) (*.f64 (sin.f64 x) -2))))
(exp.f64 (log.f64 (.f64 (sin.f64 (.f64 1/2 eps)) (*.f64 (sin.f64 x) -2))))
(log1p.f64 (expm1.f64 (.f64 (sin.f64 (.f64 1/2 eps)) (*.f64 (sin.f64 x) -2))))

Outputs
(.f64 -1 (.f64 eps (sin.f64 x)))
(neg.f64 (*.f64 eps (sin.f64 x)))
(*.f64 eps (neg.f64 (sin.f64 x)))
(*.f64 (sin.f64 x) (neg.f64 eps))
(+.f64 (.f64 1/24 (.f64 (pow.f64 eps 3) (sin.f64 x))) (.f64 -1 (.f64 eps (sin.f64 x))))
(fma.f64 1/24 (.f64 (sin.f64 x) (pow.f64 eps 3)) (neg.f64 (.f64 eps (sin.f64 x))))
(.f64 (sin.f64 x) (+.f64 (neg.f64 eps) (.f64 1/24 (pow.f64 eps 3))))
(*.f64 (sin.f64 x) (fma.f64 1/24 (pow.f64 eps 3) (neg.f64 eps)))
(+.f64 (.f64 1/24 (.f64 (pow.f64 eps 3) (sin.f64 x))) (+.f64 (.f64 -1 (.f64 eps (sin.f64 x))) (.f64 -1/1920 (.f64 (pow.f64 eps 5) (sin.f64 x)))))
(fma.f64 1/24 (.f64 (sin.f64 x) (pow.f64 eps 3)) (fma.f64 -1 (.f64 eps (sin.f64 x)) (.f64 (.f64 -1/1920 (pow.f64 eps 5)) (sin.f64 x))))
(fma.f64 1/24 (.f64 (sin.f64 x) (pow.f64 eps 3)) (.f64 (sin.f64 x) (+.f64 (neg.f64 eps) (*.f64 -1/1920 (pow.f64 eps 5)))))
(.f64 (sin.f64 x) (+.f64 (.f64 1/24 (pow.f64 eps 3)) (-.f64 (*.f64 -1/1920 (pow.f64 eps 5)) eps)))
(.f64 (sin.f64 x) (-.f64 (fma.f64 1/24 (pow.f64 eps 3) (.f64 -1/1920 (pow.f64 eps 5))) eps))
(+.f64 (.f64 1/24 (.f64 (pow.f64 eps 3) (sin.f64 x))) (+.f64 (.f64 1/322560 (.f64 (pow.f64 eps 7) (sin.f64 x))) (+.f64 (.f64 -1 (.f64 eps (sin.f64 x))) (.f64 -1/1920 (.f64 (pow.f64 eps 5) (sin.f64 x))))))
(fma.f64 1/24 (.f64 (sin.f64 x) (pow.f64 eps 3)) (fma.f64 1/322560 (.f64 (sin.f64 x) (pow.f64 eps 7)) (fma.f64 -1 (.f64 eps (sin.f64 x)) (.f64 (*.f64 -1/1920 (pow.f64 eps 5)) (sin.f64 x)))))
(+.f64 (.f64 (sin.f64 x) (+.f64 (neg.f64 eps) (.f64 -1/1920 (pow.f64 eps 5)))) (.f64 (sin.f64 x) (+.f64 (.f64 1/24 (pow.f64 eps 3)) (*.f64 1/322560 (pow.f64 eps 7)))))
(.f64 (sin.f64 x) (+.f64 (-.f64 (.f64 -1/1920 (pow.f64 eps 5)) eps) (fma.f64 1/24 (pow.f64 eps 3) (*.f64 1/322560 (pow.f64 eps 7)))))
(.f64 (sin.f64 x) (+.f64 (fma.f64 1/24 (pow.f64 eps 3) (neg.f64 eps)) (fma.f64 1/322560 (pow.f64 eps 7) (.f64 -1/1920 (pow.f64 eps 5)))))
(.f64 -2 (.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 x)))
(.f64 -2 (.f64 (sin.f64 x) (sin.f64 (*.f64 eps 1/2))))
(.f64 (sin.f64 (.f64 eps 1/2)) (*.f64 (sin.f64 x) -2))
(.f64 (sin.f64 x) (.f64 -2 (sin.f64 (*.f64 eps 1/2))))
(.f64 -2 (.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 x)))
(.f64 -2 (.f64 (sin.f64 x) (sin.f64 (*.f64 eps 1/2))))
(.f64 (sin.f64 (.f64 eps 1/2)) (*.f64 (sin.f64 x) -2))
(.f64 (sin.f64 x) (.f64 -2 (sin.f64 (*.f64 eps 1/2))))
(.f64 -2 (.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 x)))
(.f64 -2 (.f64 (sin.f64 x) (sin.f64 (*.f64 eps 1/2))))
(.f64 (sin.f64 (.f64 eps 1/2)) (*.f64 (sin.f64 x) -2))
(.f64 (sin.f64 x) (.f64 -2 (sin.f64 (*.f64 eps 1/2))))
(.f64 -2 (.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 x)))
(.f64 -2 (.f64 (sin.f64 x) (sin.f64 (*.f64 eps 1/2))))
(.f64 (sin.f64 (.f64 eps 1/2)) (*.f64 (sin.f64 x) -2))
(.f64 (sin.f64 x) (.f64 -2 (sin.f64 (*.f64 eps 1/2))))
(.f64 -2 (.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 x)))
(.f64 -2 (.f64 (sin.f64 x) (sin.f64 (*.f64 eps 1/2))))
(.f64 (sin.f64 (.f64 eps 1/2)) (*.f64 (sin.f64 x) -2))
(.f64 (sin.f64 x) (.f64 -2 (sin.f64 (*.f64 eps 1/2))))
(.f64 -2 (.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 x)))
(.f64 -2 (.f64 (sin.f64 x) (sin.f64 (*.f64 eps 1/2))))
(.f64 (sin.f64 (.f64 eps 1/2)) (*.f64 (sin.f64 x) -2))
(.f64 (sin.f64 x) (.f64 -2 (sin.f64 (*.f64 eps 1/2))))
(.f64 -2 (.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 x)))
(.f64 -2 (.f64 (sin.f64 x) (sin.f64 (*.f64 eps 1/2))))
(.f64 (sin.f64 (.f64 eps 1/2)) (*.f64 (sin.f64 x) -2))
(.f64 (sin.f64 x) (.f64 -2 (sin.f64 (*.f64 eps 1/2))))
(.f64 -2 (.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 x)))
(.f64 -2 (.f64 (sin.f64 x) (sin.f64 (*.f64 eps 1/2))))
(.f64 (sin.f64 (.f64 eps 1/2)) (*.f64 (sin.f64 x) -2))
(.f64 (sin.f64 x) (.f64 -2 (sin.f64 (*.f64 eps 1/2))))
(.f64 -2 (.f64 (sin.f64 (*.f64 1/2 eps)) x))
(.f64 -2 (.f64 x (sin.f64 (*.f64 eps 1/2))))
(.f64 (sin.f64 (.f64 eps 1/2)) (*.f64 x -2))
(.f64 x (.f64 -2 (sin.f64 (*.f64 eps 1/2))))
(+.f64 (.f64 1/3 (.f64 (sin.f64 (.f64 1/2 eps)) (pow.f64 x 3))) (.f64 -2 (.f64 (sin.f64 (.f64 1/2 eps)) x)))
(fma.f64 1/3 (.f64 (sin.f64 (.f64 eps 1/2)) (pow.f64 x 3)) (.f64 -2 (.f64 x (sin.f64 (*.f64 eps 1/2)))))
(fma.f64 1/3 (.f64 (sin.f64 (.f64 eps 1/2)) (pow.f64 x 3)) (.f64 (sin.f64 (.f64 eps 1/2)) (*.f64 x -2)))
(.f64 (sin.f64 (.f64 eps 1/2)) (+.f64 (.f64 x -2) (.f64 1/3 (pow.f64 x 3))))
(.f64 (sin.f64 (.f64 eps 1/2)) (fma.f64 x -2 (*.f64 1/3 (pow.f64 x 3))))
(+.f64 (.f64 1/3 (.f64 (sin.f64 (.f64 1/2 eps)) (pow.f64 x 3))) (+.f64 (.f64 -1/60 (.f64 (sin.f64 (.f64 1/2 eps)) (pow.f64 x 5))) (.f64 -2 (.f64 (sin.f64 (*.f64 1/2 eps)) x))))
(fma.f64 1/3 (.f64 (sin.f64 (.f64 eps 1/2)) (pow.f64 x 3)) (fma.f64 -1/60 (.f64 (sin.f64 (.f64 eps 1/2)) (pow.f64 x 5)) (.f64 -2 (.f64 x (sin.f64 (*.f64 eps 1/2))))))
(fma.f64 1/3 (.f64 (sin.f64 (.f64 eps 1/2)) (pow.f64 x 3)) (fma.f64 -2 (.f64 x (sin.f64 (.f64 eps 1/2))) (.f64 (sin.f64 (.f64 eps 1/2)) (*.f64 (pow.f64 x 5) -1/60))))
(fma.f64 1/3 (.f64 (sin.f64 (.f64 eps 1/2)) (pow.f64 x 3)) (.f64 (sin.f64 (.f64 eps 1/2)) (+.f64 (.f64 x -2) (.f64 -1/60 (pow.f64 x 5)))))
(.f64 (sin.f64 (.f64 eps 1/2)) (+.f64 (.f64 x -2) (fma.f64 1/3 (pow.f64 x 3) (.f64 -1/60 (pow.f64 x 5)))))
(+.f64 (.f64 1/3 (.f64 (sin.f64 (.f64 1/2 eps)) (pow.f64 x 3))) (+.f64 (.f64 -1/60 (.f64 (sin.f64 (.f64 1/2 eps)) (pow.f64 x 5))) (+.f64 (.f64 1/2520 (.f64 (sin.f64 (.f64 1/2 eps)) (pow.f64 x 7))) (.f64 -2 (.f64 (sin.f64 (.f64 1/2 eps)) x)))))
(fma.f64 1/3 (.f64 (sin.f64 (.f64 eps 1/2)) (pow.f64 x 3)) (fma.f64 -1/60 (.f64 (sin.f64 (.f64 eps 1/2)) (pow.f64 x 5)) (fma.f64 1/2520 (.f64 (sin.f64 (.f64 eps 1/2)) (pow.f64 x 7)) (.f64 -2 (.f64 x (sin.f64 (*.f64 eps 1/2)))))))
(fma.f64 1/3 (.f64 (sin.f64 (.f64 eps 1/2)) (pow.f64 x 3)) (fma.f64 -1/60 (.f64 (sin.f64 (.f64 eps 1/2)) (pow.f64 x 5)) (fma.f64 1/2520 (.f64 (sin.f64 (.f64 eps 1/2)) (pow.f64 x 7)) (.f64 (sin.f64 (.f64 eps 1/2)) (*.f64 x -2)))))
(+.f64 (.f64 (sin.f64 (.f64 eps 1/2)) (+.f64 (.f64 x -2) (.f64 1/3 (pow.f64 x 3)))) (.f64 (sin.f64 (.f64 eps 1/2)) (+.f64 (.f64 -1/60 (pow.f64 x 5)) (.f64 1/2520 (pow.f64 x 7)))))
(.f64 (sin.f64 (.f64 eps 1/2)) (+.f64 (fma.f64 1/3 (pow.f64 x 3) (.f64 -1/60 (pow.f64 x 5))) (fma.f64 x -2 (.f64 1/2520 (pow.f64 x 7)))))
(.f64 -2 (.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 x)))
(.f64 -2 (.f64 (sin.f64 x) (sin.f64 (*.f64 eps 1/2))))
(.f64 (sin.f64 (.f64 eps 1/2)) (*.f64 (sin.f64 x) -2))
(.f64 (sin.f64 x) (.f64 -2 (sin.f64 (*.f64 eps 1/2))))
(.f64 -2 (.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 x)))
(.f64 -2 (.f64 (sin.f64 x) (sin.f64 (*.f64 eps 1/2))))
(.f64 (sin.f64 (.f64 eps 1/2)) (*.f64 (sin.f64 x) -2))
(.f64 (sin.f64 x) (.f64 -2 (sin.f64 (*.f64 eps 1/2))))
(.f64 -2 (.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 x)))
(.f64 -2 (.f64 (sin.f64 x) (sin.f64 (*.f64 eps 1/2))))
(.f64 (sin.f64 (.f64 eps 1/2)) (*.f64 (sin.f64 x) -2))
(.f64 (sin.f64 x) (.f64 -2 (sin.f64 (*.f64 eps 1/2))))
(.f64 -2 (.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 x)))
(.f64 -2 (.f64 (sin.f64 x) (sin.f64 (*.f64 eps 1/2))))
(.f64 (sin.f64 (.f64 eps 1/2)) (*.f64 (sin.f64 x) -2))
(.f64 (sin.f64 x) (.f64 -2 (sin.f64 (*.f64 eps 1/2))))
(.f64 -2 (.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 x)))
(.f64 -2 (.f64 (sin.f64 x) (sin.f64 (*.f64 eps 1/2))))
(.f64 (sin.f64 (.f64 eps 1/2)) (*.f64 (sin.f64 x) -2))
(.f64 (sin.f64 x) (.f64 -2 (sin.f64 (*.f64 eps 1/2))))
(.f64 -2 (.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 x)))
(.f64 -2 (.f64 (sin.f64 x) (sin.f64 (*.f64 eps 1/2))))
(.f64 (sin.f64 (.f64 eps 1/2)) (*.f64 (sin.f64 x) -2))
(.f64 (sin.f64 x) (.f64 -2 (sin.f64 (*.f64 eps 1/2))))
(.f64 -2 (.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 x)))
(.f64 -2 (.f64 (sin.f64 x) (sin.f64 (*.f64 eps 1/2))))
(.f64 (sin.f64 (.f64 eps 1/2)) (*.f64 (sin.f64 x) -2))
(.f64 (sin.f64 x) (.f64 -2 (sin.f64 (*.f64 eps 1/2))))
(.f64 -2 (.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 x)))
(.f64 -2 (.f64 (sin.f64 x) (sin.f64 (*.f64 eps 1/2))))
(.f64 (sin.f64 (.f64 eps 1/2)) (*.f64 (sin.f64 x) -2))
(.f64 (sin.f64 x) (.f64 -2 (sin.f64 (*.f64 eps 1/2))))
(+.f64 (.f64 (.f64 (sin.f64 x) -2) (.f64 (sin.f64 (.f64 1/2 eps)) (cos.f64 0))) (.f64 (.f64 (sin.f64 x) -2) (.f64 (cos.f64 (.f64 1/2 eps)) (sin.f64 0))))
(.f64 -2 (.f64 (sin.f64 x) (sin.f64 (*.f64 eps 1/2))))
(.f64 (sin.f64 (.f64 eps 1/2)) (*.f64 (sin.f64 x) -2))
(.f64 (sin.f64 x) (.f64 -2 (sin.f64 (*.f64 eps 1/2))))
(+.f64 (.f64 (.f64 (sin.f64 (.f64 1/2 eps)) (cos.f64 0)) (.f64 (sin.f64 x) -2)) (.f64 (.f64 (cos.f64 (.f64 1/2 eps)) (sin.f64 0)) (.f64 (sin.f64 x) -2)))
(.f64 -2 (.f64 (sin.f64 x) (sin.f64 (*.f64 eps 1/2))))
(.f64 (sin.f64 (.f64 eps 1/2)) (*.f64 (sin.f64 x) -2))
(.f64 (sin.f64 x) (.f64 -2 (sin.f64 (*.f64 eps 1/2))))
(-.f64 (exp.f64 (log1p.f64 (.f64 (sin.f64 (.f64 1/2 eps)) (*.f64 (sin.f64 x) -2)))) 1)
(.f64 -2 (.f64 (sin.f64 x) (sin.f64 (*.f64 eps 1/2))))
(.f64 (sin.f64 (.f64 eps 1/2)) (*.f64 (sin.f64 x) -2))
(.f64 (sin.f64 x) (.f64 -2 (sin.f64 (*.f64 eps 1/2))))
(/.f64 (.f64 -2 (-.f64 (cos.f64 (-.f64 (.f64 1/2 eps) x)) (cos.f64 (+.f64 (*.f64 1/2 eps) x)))) 2)
(/.f64 (-.f64 (cos.f64 (-.f64 (*.f64 eps 1/2) x)) (cos.f64 (fma.f64 1/2 eps x))) -1)
(.f64 -1 (-.f64 (cos.f64 (-.f64 (.f64 eps 1/2) x)) (cos.f64 (fma.f64 eps 1/2 x))))
(neg.f64 (-.f64 (cos.f64 (-.f64 (*.f64 eps 1/2) x)) (cos.f64 (fma.f64 eps 1/2 x))))
(neg.f64 (-.f64 (cos.f64 (fma.f64 eps 1/2 (neg.f64 x))) (cos.f64 (fma.f64 eps 1/2 x))))
(/.f64 (.f64 (-.f64 (cos.f64 (-.f64 (.f64 1/2 eps) x)) (cos.f64 (+.f64 (*.f64 1/2 eps) x))) -2) 2)
(/.f64 (-.f64 (cos.f64 (-.f64 (*.f64 eps 1/2) x)) (cos.f64 (fma.f64 1/2 eps x))) -1)
(.f64 -1 (-.f64 (cos.f64 (-.f64 (.f64 eps 1/2) x)) (cos.f64 (fma.f64 eps 1/2 x))))
(neg.f64 (-.f64 (cos.f64 (-.f64 (*.f64 eps 1/2) x)) (cos.f64 (fma.f64 eps 1/2 x))))
(neg.f64 (-.f64 (cos.f64 (fma.f64 eps 1/2 (neg.f64 x))) (cos.f64 (fma.f64 eps 1/2 x))))
(pow.f64 (.f64 (sin.f64 (.f64 1/2 eps)) (*.f64 (sin.f64 x) -2)) 1)
(.f64 -2 (.f64 (sin.f64 x) (sin.f64 (*.f64 eps 1/2))))
(.f64 (sin.f64 (.f64 eps 1/2)) (*.f64 (sin.f64 x) -2))
(.f64 (sin.f64 x) (.f64 -2 (sin.f64 (*.f64 eps 1/2))))
(pow.f64 (sqrt.f64 (.f64 (sin.f64 (.f64 1/2 eps)) (*.f64 (sin.f64 x) -2))) 2)
(.f64 -2 (.f64 (sin.f64 x) (sin.f64 (*.f64 eps 1/2))))
(.f64 (sin.f64 (.f64 eps 1/2)) (*.f64 (sin.f64 x) -2))
(.f64 (sin.f64 x) (.f64 -2 (sin.f64 (*.f64 eps 1/2))))
(pow.f64 (cbrt.f64 (.f64 (sin.f64 (.f64 1/2 eps)) (*.f64 (sin.f64 x) -2))) 3)
(.f64 -2 (.f64 (sin.f64 x) (sin.f64 (*.f64 eps 1/2))))
(.f64 (sin.f64 (.f64 eps 1/2)) (*.f64 (sin.f64 x) -2))
(.f64 (sin.f64 x) (.f64 -2 (sin.f64 (*.f64 eps 1/2))))
(pow.f64 (pow.f64 (.f64 (sin.f64 (.f64 1/2 eps)) (*.f64 (sin.f64 x) -2)) 3) 1/3)
(.f64 -2 (.f64 (sin.f64 x) (sin.f64 (*.f64 eps 1/2))))
(.f64 (sin.f64 (.f64 eps 1/2)) (*.f64 (sin.f64 x) -2))
(.f64 (sin.f64 x) (.f64 -2 (sin.f64 (*.f64 eps 1/2))))
(sqrt.f64 (pow.f64 (.f64 (sin.f64 (.f64 1/2 eps)) (*.f64 (sin.f64 x) -2)) 2))
(.f64 -2 (.f64 (sin.f64 x) (sin.f64 (*.f64 eps 1/2))))
(.f64 (sin.f64 (.f64 eps 1/2)) (*.f64 (sin.f64 x) -2))
(.f64 (sin.f64 x) (.f64 -2 (sin.f64 (*.f64 eps 1/2))))
(log.f64 (pow.f64 (exp.f64 (sin.f64 (.f64 1/2 eps))) (.f64 (sin.f64 x) -2)))
(.f64 -2 (.f64 (sin.f64 x) (sin.f64 (*.f64 eps 1/2))))
(.f64 (sin.f64 (.f64 eps 1/2)) (*.f64 (sin.f64 x) -2))
(.f64 (sin.f64 x) (.f64 -2 (sin.f64 (*.f64 eps 1/2))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (sin.f64 (.f64 1/2 eps)) (*.f64 (sin.f64 x) -2)))))
(.f64 -2 (.f64 (sin.f64 x) (sin.f64 (*.f64 eps 1/2))))
(.f64 (sin.f64 (.f64 eps 1/2)) (*.f64 (sin.f64 x) -2))
(.f64 (sin.f64 x) (.f64 -2 (sin.f64 (*.f64 eps 1/2))))
(cbrt.f64 (pow.f64 (.f64 (sin.f64 (.f64 1/2 eps)) (*.f64 (sin.f64 x) -2)) 3))
(.f64 -2 (.f64 (sin.f64 x) (sin.f64 (*.f64 eps 1/2))))
(.f64 (sin.f64 (.f64 eps 1/2)) (*.f64 (sin.f64 x) -2))
(.f64 (sin.f64 x) (.f64 -2 (sin.f64 (*.f64 eps 1/2))))
(cbrt.f64 (.f64 (pow.f64 (sin.f64 (.f64 1/2 eps)) 3) (pow.f64 (*.f64 (sin.f64 x) -2) 3)))
(.f64 -2 (.f64 (sin.f64 x) (sin.f64 (*.f64 eps 1/2))))
(.f64 (sin.f64 (.f64 eps 1/2)) (*.f64 (sin.f64 x) -2))
(.f64 (sin.f64 x) (.f64 -2 (sin.f64 (*.f64 eps 1/2))))
(expm1.f64 (log1p.f64 (.f64 (sin.f64 (.f64 1/2 eps)) (*.f64 (sin.f64 x) -2))))
(.f64 -2 (.f64 (sin.f64 x) (sin.f64 (*.f64 eps 1/2))))
(.f64 (sin.f64 (.f64 eps 1/2)) (*.f64 (sin.f64 x) -2))
(.f64 (sin.f64 x) (.f64 -2 (sin.f64 (*.f64 eps 1/2))))
(exp.f64 (log.f64 (.f64 (sin.f64 (.f64 1/2 eps)) (*.f64 (sin.f64 x) -2))))
(.f64 -2 (.f64 (sin.f64 x) (sin.f64 (*.f64 eps 1/2))))
(.f64 (sin.f64 (.f64 eps 1/2)) (*.f64 (sin.f64 x) -2))
(.f64 (sin.f64 x) (.f64 -2 (sin.f64 (*.f64 eps 1/2))))
(log1p.f64 (expm1.f64 (.f64 (sin.f64 (.f64 1/2 eps)) (*.f64 (sin.f64 x) -2))))
(.f64 -2 (.f64 (sin.f64 x) (sin.f64 (*.f64 eps 1/2))))
(.f64 (sin.f64 (.f64 eps 1/2)) (*.f64 (sin.f64 x) -2))
(.f64 (sin.f64 x) (.f64 -2 (sin.f64 (*.f64 eps 1/2))))

localize16.0ms (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 (cos.f64 x) (*.f64 (sin.f64 eps) (sin.f64 x)))
✓	0.2b	(*.f64 (sin.f64 eps) (sin.f64 x))
✓	3.5b	(-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (.f64 (sin.f64 eps) (sin.f64 x))))

Compiler

Compiled 44 to 10 computations (77.3% saved)

series2.0ms (0%)

Counts

3 → 72

Calls

18 calls:

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

rewrite121.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1726×	`associate-*r/`
1268×	`associate-*l/`
600×	`associate-+l+`
356×	`+-commutative`
322×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	85
1	291	57
2	4250	57

Stop Event

1×	node limit

Counts

3 → 268

Calls

Call 1

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

Outputs

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

simplify254.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1244×	`associate-+r-`
1176×	`fma-def`
824×	`associate-r`
794×	`+-commutative`
678×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	735	20696
1	2044	18968
2	7811	18968

Stop Event

1×	node limit

Counts

340 → 417

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

eval1.0s (5.2%)

Compiler: Compiled 58040 to 28267 computations (51.3% saved)

prune1.1s (5.7%)

Pruning

68 alts after pruning (63 fresh and 5 done)

	Pruned	Kept	Total
New	1812	21	1833
Fresh	15	42	57
Picked	0	1	1
Done	3	4	7
Total	1830	68	1898

Error

0.0b

Counts

1898 → 68

Alt Table

Click to see full alt table

Status	Error	Program
	39.9b	(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 eps) (sin.f64 x) (cos.f64 x))))
	24.9b	(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x))))
	39.2b	(pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 3)
	39.0b	(/.f64 (fma.f64 (cos.f64 eps) (cos.f64 eps) -1) (+.f64 (cos.f64 eps) 1))
	56.6b	(/.f64 (.f64 (-.f64 (cos.f64 (-.f64 (.f64 (+.f64 x (-.f64 eps x)) 1/2) (*.f64 (+.f64 eps (+.f64 x x)) 1/2))) (cos.f64 x)) -2) 2)
	38.9b	(/.f64 (.f64 (-.f64 (cos.f64 (-.f64 (.f64 (+.f64 x (-.f64 eps x)) 1/2) (*.f64 1/2 eps))) (cos.f64 eps)) -2) 2)
	54.0b	(/.f64 (.f64 (-.f64 (cos.f64 (-.f64 (.f64 (+.f64 x (-.f64 eps x)) 1/2) x)) (cos.f64 eps)) -2) 2)
	39.0b	(/.f64 (.f64 (-.f64 (cos.f64 (-.f64 (.f64 eps 1/2) (*.f64 (+.f64 eps (+.f64 x x)) 1/2))) (cos.f64 eps)) -2) 2)
	39.6b	(/.f64 (.f64 (-.f64 (cos.f64 (-.f64 (.f64 1/2 eps) (.f64 1/2 (-.f64 eps (.f64 -2 x))))) (cos.f64 (+.f64 (.f64 1/2 (-.f64 eps (.f64 -2 x))) (*.f64 1/2 eps)))) -2) 2)
	39.4b	(/.f64 (.f64 (-.f64 (cos.f64 (+.f64 (+.f64 (.f64 (fma.f64 2 x eps) -1/2) (.f64 (-.f64 eps x) 1/2)) (.f64 x 1/2))) (cos.f64 eps)) -2) 2)
	32.9b	(/.f64 (.f64 (+.f64 (.f64 eps (sin.f64 x)) (+.f64 (+.f64 (.f64 (cos.f64 x) (.f64 (.f64 eps 1/2) eps)) (.f64 (sin.f64 x) (*.f64 -1/6 (pow.f64 eps 3)))) 0)) -2) 2)
	56.4b	(/.f64 (*.f64 (+.f64 (cos.f64 x) -1) -2) 2)
	34.0b	(/.f64 (*.f64 (sin.f64 eps) (sin.f64 eps)) (-.f64 -1 (cos.f64 eps)))
	59.9b	(/.f64 (*.f64 (neg.f64 (cos.f64 eps)) -2) 2)
	57.3b	(/.f64 (*.f64 0 -2) 2)
	34.1b	(/.f64 (sin.f64 eps) (/.f64 (-.f64 -1 (cos.f64 eps)) (sin.f64 eps)))
	39.6b	(/.f64 1 (/.f64 1 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
	25.0b	(-.f64 (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))
	5.7b	(-.f64 (-.f64 (.f64 (cos.f64 eps) (cos.f64 x)) (cos.f64 x)) (.f64 (sin.f64 x) (sin.f64 eps)))
	40.4b	(-.f64 (-.f64 (cos.f64 eps) (*.f64 x (sin.f64 eps))) (cos.f64 x))
	38.0b	(-.f64 (+.f64 (cos.f64 eps) -1) (*.f64 x (sin.f64 eps)))
	5.7b	(-.f64 (.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)) (.f64 (sin.f64 eps) (sin.f64 x)))
	32.6b	(-.f64 (.f64 (.f64 eps eps) (.f64 (cos.f64 x) -1/2)) (.f64 eps (sin.f64 x)))
	50.3b	(-.f64 (.f64 (cos.f64 x) (.f64 -1/2 (.f64 eps eps))) (.f64 eps x))
	25.0b	(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))
✓	25.0b	(-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (.f64 (sin.f64 eps) (sin.f64 x))))
	25.1b	(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (log.f64 (exp.f64 (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))))
	38.3b	(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (cos.f64 x))
	39.1b	(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) 1)
	25.1b	(-.f64 (.f64 (cos.f64 eps) (log.f64 (exp.f64 (cos.f64 x)))) (+.f64 (cos.f64 x) (.f64 (sin.f64 eps) (sin.f64 x))))
	25.2b	(-.f64 (log.f64 (exp.f64 (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (.f64 (sin.f64 x) (sin.f64 eps))))) (cos.f64 x))
	39.1b	(-.f64 (log.f64 (exp.f64 (cos.f64 eps))) (cos.f64 x))
✓	39.6b	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
	55.1b	(-.f64 (cos.f64 x) (+.f64 (cos.f64 x) (*.f64 (sin.f64 eps) (sin.f64 x))))
	57.1b	(-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))
	38.0b	(-.f64 (cos.f64 eps) (+.f64 (cos.f64 x) (*.f64 (sin.f64 eps) (sin.f64 x))))
	39.0b	(-.f64 (cos.f64 eps) (cos.f64 x))
✓	38.9b	(-.f64 (cos.f64 eps) 1)
	5.8b	(+.f64 (/.f64 (cos.f64 x) (/.f64 1 (+.f64 (cos.f64 eps) -1))) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	25.2b	(+.f64 (-.f64 (.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)) (exp.f64 (log1p.f64 (.f64 (sin.f64 eps) (sin.f64 x))))) 1)
	18.9b	(+.f64 (-.f64 (cos.f64 eps) 1) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	5.8b	(+.f64 (.f64 (+.f64 (cos.f64 eps) -1) (log.f64 (exp.f64 (cos.f64 x)))) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	32.6b	(+.f64 (.f64 (.f64 eps eps) (.f64 (cos.f64 x) -1/2)) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	5.8b	(+.f64 (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (/.f64 (sin.f64 eps) (/.f64 (sin.f64 x) (neg.f64 (pow.f64 (sin.f64 x) 2)))))
	19.2b	(+.f64 (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (/.f64 (neg.f64 (pow.f64 (sin.f64 x) 3)) (/.f64 (+.f64 0 (pow.f64 (sin.f64 x) 2)) (sin.f64 eps))))
	37.9b	(+.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 x (neg.f64 (sin.f64 eps))))
	32.7b	(+.f64 (.f64 (cos.f64 x) (.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)) (/.f64 1 (+.f64 (cos.f64 eps) 1)))) (*.f64 x (neg.f64 (sin.f64 eps))))
	3.0b	(+.f64 (.f64 (cos.f64 x) (.f64 (neg.f64 (/.f64 (.f64 (sin.f64 eps) (cbrt.f64 (pow.f64 (sin.f64 eps) 4))) (cbrt.f64 (sin.f64 eps)))) (/.f64 1 (+.f64 (cos.f64 eps) 1)))) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	5.9b	(+.f64 (.f64 (cos.f64 x) (.f64 (neg.f64 (-.f64 1/2 (/.f64 (cos.f64 (+.f64 eps eps)) 2))) (/.f64 1 (+.f64 (cos.f64 eps) 1)))) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	61.7b	(+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))
	40.8b	(+.f64 (cos.f64 eps) (+.f64 (-.f64 (.f64 (+.f64 (cos.f64 eps) -1) (.f64 (.f64 x x) -1/2)) (.f64 x (sin.f64 eps))) -1))
	39.0b	(*.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1) (/.f64 1 (+.f64 (cos.f64 eps) 1)))
	37.7b	(*.f64 (sin.f64 x) (neg.f64 eps))
	55.1b	(*.f64 x (neg.f64 (sin.f64 eps)))
✓	55.4b	(*.f64 eps (neg.f64 x))
✓	52.5b	(.f64 -1/2 (.f64 eps eps))
	14.5b	(.f64 -2 (.f64 (sin.f64 (/.f64 (+.f64 eps (-.f64 x x)) 2)) (sin.f64 (/.f64 (+.f64 eps (+.f64 x x)) 2))))
	57.4b	(neg.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))))
	39.0b	(log1p.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1)))
	39.0b	(log.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)))
	49.2b	(fabs.f64 (pow.f64 (sqrt.f64 (.f64 (sin.f64 (.f64 1/2 eps)) (*.f64 (sin.f64 x) -2))) 2))
	47.4b	(fabs.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 (.f64 1/2 eps)) (*.f64 (sin.f64 x) -2))) 3))
	56.5b	(fabs.f64 (-.f64 (cos.f64 eps) 1))
	47.2b	(fabs.f64 (.f64 (sin.f64 (.f64 eps 1/2)) (*.f64 (sin.f64 x) -2)))
	48.4b	(fabs.f64 (.f64 eps (-.f64 (.f64 eps (*.f64 (cos.f64 x) -1/2)) (sin.f64 x))))
	56.5b	(fabs.f64 (.f64 -2 (pow.f64 (sin.f64 (.f64 1/2 eps)) 2)))
	46.7b	(expm1.f64 (log.f64 (cos.f64 eps)))
	39.1b	(cbrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 3))

Compiler

Compiled 1002 to 730 computations (27.1% saved)

regimes215.0ms (1.1%)

Counts

132 → 1

Calls

Call 1

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

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

Calls

3 calls:

73.0ms	eps
59.0ms	x
41.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

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 2042 to 806 computations (60.5% saved)

regimes358.0ms (1.8%)

Counts

109 → 3

Calls

Call 1

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

Outputs

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

(/.f64 (*.f64 (+.f64 (*.f64 eps (sin.f64 x)) (+.f64 (+.f64 (*.f64 (cos.f64 x) (*.f64 (*.f64 eps 1/2) eps)) (*.f64 (sin.f64 x) (*.f64 -1/6 (pow.f64 eps 3)))) 0)) -2) 2)

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

Calls

3 calls:

132.0ms	eps
132.0ms	x
61.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

Error	Segments	Branch
0.4b	3	`x`
0.4b	3	`eps`
5.7b	1	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`

Compiler

Compiled 1450 to 625 computations (56.9% saved)

bsearch79.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
40.0ms	2.478556555025601e-16	4.777319088240666
38.0ms	-0.20279266673999083	-1.9224168854862905e-7

Results

27.0ms	71×	body	1024	valid
25.0ms	176×	body	256	valid
11.0ms	42×	body	512	valid
9.0ms	15×	body	2048	valid

Compiler

Compiled 986 to 716 computations (27.4% saved)

regimes347.0ms (1.8%)

Counts

108 → 3

Calls

Call 1

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

Outputs

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

(/.f64 (*.f64 (+.f64 (*.f64 eps (sin.f64 x)) (+.f64 (+.f64 (*.f64 (cos.f64 x) (*.f64 (*.f64 eps 1/2) eps)) (*.f64 (sin.f64 x) (*.f64 -1/6 (pow.f64 eps 3)))) 0)) -2) 2)

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

Calls

3 calls:

130.0ms	eps
125.0ms	x
58.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

Error	Segments	Branch
0.4b	3	`x`
0.4b	3	`eps`
5.7b	1	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`

Compiler

Compiled 1430 to 615 computations (57% saved)

bsearch231.0ms (1.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
125.0ms	2.478556555025601e-16	4.777319088240666
105.0ms	-0.20279266673999083	-1.9224168854862905e-7

Results

114.0ms	76×	body	1024	valid
90.0ms	166×	body	256	valid
12.0ms	48×	body	512	valid
9.0ms	14×	body	2048	valid

Compiler

Compiled 916 to 666 computations (27.3% saved)

regimes433.0ms (2.2%)

Counts

93 → 3

Calls

Call 1

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

Outputs

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

(/.f64 (*.f64 (+.f64 (*.f64 eps (sin.f64 x)) (+.f64 (+.f64 (*.f64 (cos.f64 x) (*.f64 (*.f64 eps 1/2) eps)) (*.f64 (sin.f64 x) (*.f64 -1/6 (pow.f64 eps 3)))) 0)) -2) 2)

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

Calls

3 calls:

162.0ms	eps
153.0ms	x
91.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

Error	Segments	Branch
0.4b	3	`x`
0.4b	3	`eps`
5.7b	1	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`

Compiler

Compiled 1170 to 526 computations (55% saved)

bsearch79.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
42.0ms	2.478556555025601e-16	4.777319088240666
36.0ms	-0.20279266673999083	-1.9224168854862905e-7

Results

29.0ms	71×	body	1024	valid
24.0ms	176×	body	256	valid
11.0ms	43×	body	512	valid
9.0ms	14×	body	2048	valid

Compiler

Compiled 916 to 666 computations (27.3% saved)

regimes303.0ms (1.6%)

Counts

92 → 3

Calls

Call 1

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

Outputs

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

(/.f64 (*.f64 (+.f64 (*.f64 eps (sin.f64 x)) (+.f64 (+.f64 (*.f64 (cos.f64 x) (*.f64 (*.f64 eps 1/2) eps)) (*.f64 (sin.f64 x) (*.f64 -1/6 (pow.f64 eps 3)))) 0)) -2) 2)

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

Calls

3 calls:

113.0ms	x
108.0ms	eps
47.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

Error	Segments	Branch
0.4b	3	`x`
0.4b	3	`eps`
5.7b	1	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`

Compiler

Compiled 1156 to 523 computations (54.8% saved)

bsearch117.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
77.0ms	2.478556555025601e-16	4.777319088240666
39.0ms	-0.20279266673999083	-1.9224168854862905e-7

Results

56.0ms	159×	body	256	valid
29.0ms	79×	body	1024	valid
14.0ms	17×	body	2048	valid
12.0ms	49×	body	512	valid

Compiler

Compiled 916 to 666 computations (27.3% saved)

regimes447.0ms (2.3%)

Counts

91 → 3

Calls

Call 1

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

Outputs

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

(/.f64 (*.f64 (+.f64 (*.f64 eps (sin.f64 x)) (+.f64 (+.f64 (*.f64 (cos.f64 x) (*.f64 (*.f64 eps 1/2) eps)) (*.f64 (sin.f64 x) (*.f64 -1/6 (pow.f64 eps 3)))) 0)) -2) 2)

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

Calls

3 calls:

193.0ms	eps
126.0ms	x
70.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

Error	Segments	Branch
0.4b	3	`x`
0.4b	3	`eps`
5.7b	1	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`

Compiler

Compiled 1142 to 522 computations (54.3% saved)

bsearch124.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
87.0ms	2.478556555025601e-16	4.777319088240666
36.0ms	-0.20279266673999083	-1.9224168854862905e-7

Results

73.0ms	178×	body	256	valid
27.0ms	71×	body	1024	valid
12.0ms	47×	body	512	valid
5.0ms	8×	body	2048	valid

Compiler

Compiled 907 to 675 computations (25.6% saved)

regimes369.0ms (1.9%)

Counts

87 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

3 calls:

146.0ms	x
118.0ms	eps
81.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

Error	Segments	Branch
0.4b	3	`x`
0.4b	3	`eps`
5.7b	1	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`

Compiler

Compiled 1059 to 468 computations (55.8% saved)

bsearch94.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
60.0ms	2.478556555025601e-16	4.777319088240666
34.0ms	-0.20279266673999083	-1.9224168854862905e-7

Results

48.0ms	189×	body	256	valid
27.0ms	72×	body	1024	valid
10.0ms	37×	body	512	valid
4.0ms	6×	body	2048	valid

Compiler

Compiled 660 to 485 computations (26.5% saved)

regimes167.0ms (0.9%)

Counts

82 → 1

Calls

Call 1

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

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

Calls

3 calls:

37.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
37.0ms	eps
34.0ms	x

Results

Error	Segments	Branch
14.5b	1	`x`
14.5b	1	`eps`
14.5b	1	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`

Compiler

Compiled 983 to 446 computations (54.6% saved)

regimes286.0ms (1.5%)

Counts

24 → 3

Calls

Call 1

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

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

Calls

3 calls:

139.0ms	x
126.0ms	eps
15.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

Error	Segments	Branch
19.1b	5	`x`
14.0b	3	`eps`
14.9b	2	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`

Compiler

Compiled 198 to 95 computations (52% saved)

bsearch149.0ms (0.8%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
112.0ms	2.478556555025601e-16	4.777319088240666
37.0ms	-0.20279266673999083	-1.9224168854862905e-7

Results

86.0ms	47×	body	512	valid
26.0ms	70×	body	1024	valid
23.0ms	171×	body	256	valid
10.0ms	16×	body	2048	valid

Compiler

Compiled 470 to 333 computations (29.1% saved)

regimes137.0ms (0.7%)

Counts

21 → 5

Calls

Call 1

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

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

Calls

3 calls:

70.0ms	x
47.0ms	eps
15.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

Error	Segments	Branch
19.2b	5	`x`
17.7b	5	`eps`
20.3b	2	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`

Compiler

Compiled 155 to 75 computations (51.6% saved)

bsearch265.0ms (1.4%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
39.0ms	2.478556555025601e-16	4.777319088240666
106.0ms	-5.3102332203720796e-126	-1.2819535565366369e-129
83.0ms	-2.3424885172818627e-60	-2.441895199663987e-70
36.0ms	-0.20279266673999083	-1.9224168854862905e-7

Results

97.0ms	198×	body	1024	valid
86.0ms	68×	body	2048	valid
48.0ms	151×	body	512	valid
24.0ms	175×	body	256	valid

Compiler

Compiled 732 to 526 computations (28.1% saved)

regimes92.0ms (0.5%)

Counts

11 → 5

Calls

Call 1

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

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

Calls

2 calls:

57.0ms	x
30.0ms	eps

Results

Error	Segments	Branch
21.2b	5	`x`
17.8b	5	`eps`

Compiler

Compiled 73 to 46 computations (37% saved)

bsearch201.0ms (1%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
25.0ms	4.777319088240666	38.99380673147541
69.0ms	-5.3102332203720796e-126	-1.2819535565366369e-129
59.0ms	-2.3424885172818627e-60	-2.441895199663987e-70
48.0ms	-0.20279266673999083	-1.9224168854862905e-7

Results

90.0ms	197×	body	1024	valid
38.0ms	140×	body	512	valid
35.0ms	56×	body	2048	valid
30.0ms	135×	body	256	valid

Compiler

Compiled 653 to 478 computations (26.8% saved)

regimes64.0ms (0.3%)

Counts

9 → 5

Calls

Call 1

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

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

Calls

2 calls:

32.0ms	x
29.0ms	eps

Results

Error	Segments	Branch
21.6b	5	`x`
18.1b	5	`eps`

Compiler

Compiled 56 to 38 computations (32.1% saved)

bsearch193.0ms (1%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
28.0ms	4.777319088240666	38.99380673147541
65.0ms	-5.3102332203720796e-126	-1.2819535565366369e-129
61.0ms	-2.3424885172818627e-60	-2.441895199663987e-70
39.0ms	-0.20279266673999083	-1.9224168854862905e-7

Results

80.0ms	189×	body	1024	valid
40.0ms	62×	body	2048	valid
36.0ms	137×	body	512	valid
25.0ms	140×	body	256	valid

Compiler

Compiled 527 to 406 computations (23% saved)

regimes34.0ms (0.2%)

Counts

5 → 5

Calls

Call 1

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

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

Calls

2 calls:

20.0ms	eps
13.0ms	x

Results

Error	Segments	Branch
37.8b	3	`x`
32.3b	5	`eps`

Compiler

Compiled 31 to 22 computations (29% saved)

bsearch235.0ms (1.2%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
42.0ms	2.478556555025601e-16	4.777319088240666
76.0ms	6.492828779829142e-106	4.948362361324347e-103
77.0ms	-1.5565674254459276e-155	-5.624718981396216e-159
40.0ms	-1.9224168854862905e-7	-3.067265932228512e-16

Results

107.0ms	212×	body	1024	valid
77.0ms	108×	body	2048	valid
23.0ms	170×	body	256	valid
20.0ms	70×	body	512	valid

Compiler

Compiled 539 to 414 computations (23.2% saved)

regimes24.0ms (0.1%)

Accuracy

Total -7.5b remaining (-14.8%)

Threshold costs -7.5b (-14.8%)

Counts

3 → 3

Calls

Call 1

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

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

Calls

2 calls:

12.0ms	x
11.0ms	eps

Results

Error	Segments	Branch
51.5b	2	`x`
50.9b	3	`eps`

Compiler

Compiled 22 to 16 computations (27.3% saved)

bsearch133.0ms (0.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
61.0ms	6.492828779829142e-106	4.948362361324347e-103
73.0ms	-1.5565674254459276e-155	-5.624718981396216e-159

Results

64.0ms	96×	body	2048	valid
63.0ms	150×	body	1024	valid
3.0ms	10×	body	512	valid

Compiler

Compiled 254 to 186 computations (26.8% saved)

simplify43.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

92×	`*-commutative`
82×	`+-commutative`
38×	`sub-neg`
34×	`neg-mul-1`
32×	`neg-sub0`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	158	1727
1	244	1719
2	299	1715
3	339	1711
4	357	1711
5	364	1711
6	366	1711

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(+.f64 (.f64 (cos.f64 x) (.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)) (/.f64 1 (+.f64 (cos.f64 eps) 1)))) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
(if (<=.f64 eps -760928193040519/4611686018427387904) (-.f64 (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x)) (if (<=.f64 eps 5902958103587057/36893488147419103232) (/.f64 (.f64 (+.f64 (.f64 eps (sin.f64 x)) (+.f64 (+.f64 (.f64 (cos.f64 x) (.f64 (.f64 eps 1/2) eps)) (.f64 (sin.f64 x) (.f64 -1/6 (pow.f64 eps 3)))) 0)) -2) 2) (+.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (/.f64 (*.f64 (-.f64 0 (pow.f64 (sin.f64 x) 2)) (sin.f64 eps)) (sin.f64 x)))))
(if (<=.f64 eps -6050532056176733/73786976294838206464) (-.f64 (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x)) (if (<=.f64 eps 5902958103587057/36893488147419103232) (/.f64 (.f64 (+.f64 (.f64 eps (sin.f64 x)) (+.f64 (+.f64 (.f64 (cos.f64 x) (.f64 (.f64 eps 1/2) eps)) (.f64 (sin.f64 x) (.f64 -1/6 (pow.f64 eps 3)))) 0)) -2) 2) (-.f64 (.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)) (*.f64 (sin.f64 eps) (sin.f64 x)))))
(if (<=.f64 eps -6050532056176733/73786976294838206464) (-.f64 (-.f64 (.f64 (cos.f64 eps) (cos.f64 x)) (cos.f64 x)) (.f64 (sin.f64 x) (sin.f64 eps))) (if (<=.f64 eps 5902958103587057/36893488147419103232) (/.f64 (.f64 (+.f64 (.f64 eps (sin.f64 x)) (+.f64 (+.f64 (.f64 (cos.f64 x) (.f64 (.f64 eps 1/2) eps)) (.f64 (sin.f64 x) (.f64 -1/6 (pow.f64 eps 3)))) 0)) -2) 2) (-.f64 (.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)) (*.f64 (sin.f64 eps) (sin.f64 x)))))
(if (<=.f64 eps -760928193040519/4611686018427387904) (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (.f64 (sin.f64 eps) (sin.f64 x)))) (if (<=.f64 eps 5902958103587057/36893488147419103232) (/.f64 (.f64 (+.f64 (.f64 eps (sin.f64 x)) (+.f64 (+.f64 (.f64 (cos.f64 x) (.f64 (.f64 eps 1/2) eps)) (.f64 (sin.f64 x) (.f64 -1/6 (pow.f64 eps 3)))) 0)) -2) 2) (-.f64 (.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)) (*.f64 (sin.f64 eps) (sin.f64 x)))))
(if (<=.f64 eps -6050532056176733/73786976294838206464) (-.f64 (.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)) (.f64 (sin.f64 eps) (sin.f64 x))) (if (<=.f64 eps 5902958103587057/36893488147419103232) (/.f64 (.f64 (+.f64 (.f64 eps (sin.f64 x)) (+.f64 (+.f64 (.f64 (cos.f64 x) (.f64 (.f64 eps 1/2) eps)) (.f64 (sin.f64 x) (.f64 -1/6 (pow.f64 eps 3)))) 0)) -2) 2) (-.f64 (.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)) (*.f64 (sin.f64 eps) (sin.f64 x)))))
(if (<=.f64 eps -6050532056176733/73786976294838206464) (-.f64 (.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)) (.f64 (sin.f64 eps) (sin.f64 x))) (if (<=.f64 eps 5902958103587057/36893488147419103232) (+.f64 (.f64 (.f64 eps eps) (.f64 (cos.f64 x) -1/2)) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x)))) (-.f64 (.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)) (.f64 (sin.f64 eps) (sin.f64 x)))))
(.f64 -2 (.f64 (sin.f64 (/.f64 (+.f64 eps (-.f64 x x)) 2)) (sin.f64 (/.f64 (+.f64 eps (+.f64 x x)) 2))))
(if (<=.f64 eps -7926335344172073/288230376151711744) (-.f64 (cos.f64 eps) (cos.f64 x)) (if (<=.f64 eps 8214565720323785/288230376151711744) (-.f64 (.f64 (.f64 eps eps) (.f64 -1/2 (cos.f64 x))) (.f64 eps (sin.f64 x))) (-.f64 (cos.f64 eps) (cos.f64 x))))
(if (<=.f64 eps -4958484807013127/4722366482869645213696) (-.f64 (cos.f64 eps) (cos.f64 x)) (if (<=.f64 eps -6070840288205403/485667223056432267729865476705879726660601709763034880312953102434726071301302124544) (.f64 (neg.f64 eps) (sin.f64 x)) (if (<=.f64 eps -8840889449137087/3048582568667961163458591044719888970457615373696260889510895468384152088691177363398736428772941378085768487423248655171335913749304966119424) (-.f64 (.f64 (cos.f64 x) (.f64 -1/2 (.f64 eps eps))) (.f64 eps x)) (if (<=.f64 eps 5534023222112865/2305843009213693952) (.f64 (neg.f64 eps) (sin.f64 x)) (-.f64 (cos.f64 eps) (cos.f64 x))))))
(if (<=.f64 eps -2833419889721787/590295810358705651712) (-.f64 (cos.f64 eps) 1) (if (<=.f64 eps -4856672230564323/60708402882054033466233184588234965832575213720379360039119137804340758912662765568) (.f64 (neg.f64 eps) (sin.f64 x)) (if (<=.f64 eps -7773885550103301/1524291284333980581729295522359944485228807686848130444755447734192076044345588681699368214386470689042884243711624327585667956874652483059712) (-.f64 (.f64 (cos.f64 x) (.f64 -1/2 (.f64 eps eps))) (.f64 eps x)) (if (<=.f64 eps 5404319552844595/1125899906842624) (.f64 (neg.f64 eps) (sin.f64 x)) (-.f64 (cos.f64 eps) 1)))))
(if (<=.f64 eps -8689154328480147/9444732965739290427392) (-.f64 (cos.f64 eps) 1) (if (<=.f64 eps -5809983869571577/237142198758023568227473377297792835283496928595231875152809132048206089502588928) (.f64 (neg.f64 eps) (sin.f64 x)) (if (<=.f64 eps -7926314678536699/1524291284333980581729295522359944485228807686848130444755447734192076044345588681699368214386470689042884243711624327585667956874652483059712) (.f64 -1/2 (.f64 eps eps)) (if (<=.f64 eps 5404319552844595/1125899906842624) (.f64 (neg.f64 eps) (sin.f64 x)) (-.f64 (cos.f64 eps) 1)))))
(if (<=.f64 eps -7177997053961861/37778931862957161709568) (-.f64 (cos.f64 eps) 1) (if (<=.f64 eps -2411471414362769/61832600368276133515125630254911797508782837275302959978515764023224306276632966792579100265310761247399417856504034834837841258576687802491886538775473291979151693037174784) (.f64 -1/2 (.f64 eps eps)) (if (<=.f64 eps 3356924841512981/5164499756173817179311838344006023748659411585658447025661318713081295244033682389259290706560275662871806343945494986752) (.f64 eps (neg.f64 x)) (if (<=.f64 eps 5902958103587057/36893488147419103232) (.f64 -1/2 (*.f64 eps eps)) (-.f64 (cos.f64 eps) 1)))))
(if (<=.f64 eps -1661751134897421/1932268761508629172347675945465993672149463664853217499328617625725759571144780212268096883290961288981231808015751088588682539330521493827871454336733540374348490407411712) (.f64 -1/2 (.f64 eps eps)) (if (<=.f64 eps 3873374817130363/2582249878086908589655919172003011874329705792829223512830659356540647622016841194629645353280137831435903171972747493376) (.f64 eps (neg.f64 x)) (.f64 -1/2 (*.f64 eps eps))))
(*.f64 eps (neg.f64 x))

Outputs
(+.f64 (.f64 (cos.f64 x) (.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)) (/.f64 1 (+.f64 (cos.f64 eps) 1)))) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
(+.f64 (.f64 (cos.f64 x) (.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)) (/.f64 1 (+.f64 1 (cos.f64 eps))))) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
(-.f64 (.f64 (cos.f64 x) (.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)) (/.f64 1 (+.f64 1 (cos.f64 eps))))) (*.f64 (sin.f64 eps) (sin.f64 x)))
(-.f64 (.f64 (cos.f64 x) (.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 -1 (+.f64 1 (cos.f64 eps))))) (*.f64 (sin.f64 eps) (sin.f64 x)))
(if (<=.f64 eps -760928193040519/4611686018427387904) (-.f64 (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x)) (if (<=.f64 eps 5902958103587057/36893488147419103232) (/.f64 (.f64 (+.f64 (.f64 eps (sin.f64 x)) (+.f64 (+.f64 (.f64 (cos.f64 x) (.f64 (.f64 eps 1/2) eps)) (.f64 (sin.f64 x) (.f64 -1/6 (pow.f64 eps 3)))) 0)) -2) 2) (+.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (/.f64 (*.f64 (-.f64 0 (pow.f64 (sin.f64 x) 2)) (sin.f64 eps)) (sin.f64 x)))))
(if (<=.f64 eps -760928193040519/4611686018427387904) (-.f64 (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (.f64 (sin.f64 eps) (sin.f64 x))) (cos.f64 x)) (if (<=.f64 eps 5902958103587057/36893488147419103232) (/.f64 (.f64 (+.f64 (.f64 eps (sin.f64 x)) (+.f64 (.f64 (cos.f64 x) (.f64 eps (.f64 eps 1/2))) (.f64 (sin.f64 x) (.f64 -1/6 (pow.f64 eps 3))))) -2) 2) (+.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (/.f64 (*.f64 (sin.f64 eps) (neg.f64 (pow.f64 (sin.f64 x) 2))) (sin.f64 x)))))
(if (<=.f64 eps -760928193040519/4611686018427387904) (-.f64 (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (.f64 (sin.f64 eps) (sin.f64 x))) (cos.f64 x)) (if (<=.f64 eps 5902958103587057/36893488147419103232) (/.f64 (.f64 (+.f64 (.f64 eps (sin.f64 x)) (+.f64 (.f64 (cos.f64 x) (.f64 eps (.f64 eps 1/2))) (.f64 (sin.f64 x) (.f64 -1/6 (pow.f64 eps 3))))) -2) 2) (+.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (/.f64 (neg.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (sin.f64 eps))) (sin.f64 x)))))
(if (<=.f64 eps -760928193040519/4611686018427387904) (-.f64 (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (.f64 (sin.f64 eps) (sin.f64 x))) (cos.f64 x)) (if (<=.f64 eps 5902958103587057/36893488147419103232) (/.f64 (.f64 (+.f64 (.f64 eps (sin.f64 x)) (+.f64 (.f64 (cos.f64 x) (.f64 eps (.f64 eps 1/2))) (.f64 (sin.f64 x) (.f64 -1/6 (pow.f64 eps 3))))) -2) 2) (+.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (neg.f64 (sin.f64 eps))) (sin.f64 x)))))
(if (<=.f64 eps -760928193040519/4611686018427387904) (-.f64 (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (.f64 (sin.f64 eps) (sin.f64 x))) (cos.f64 x)) (if (<=.f64 eps 5902958103587057/36893488147419103232) (/.f64 (.f64 (+.f64 (.f64 eps (sin.f64 x)) (+.f64 (.f64 (cos.f64 x) (.f64 eps (.f64 eps 1/2))) (.f64 (sin.f64 x) (.f64 -1/6 (pow.f64 eps 3))))) -2) 2) (-.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (/.f64 (*.f64 (sin.f64 eps) (pow.f64 (sin.f64 x) 2)) (sin.f64 x)))))
(if (<=.f64 eps -6050532056176733/73786976294838206464) (-.f64 (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x)) (if (<=.f64 eps 5902958103587057/36893488147419103232) (/.f64 (.f64 (+.f64 (.f64 eps (sin.f64 x)) (+.f64 (+.f64 (.f64 (cos.f64 x) (.f64 (.f64 eps 1/2) eps)) (.f64 (sin.f64 x) (.f64 -1/6 (pow.f64 eps 3)))) 0)) -2) 2) (-.f64 (.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)) (*.f64 (sin.f64 eps) (sin.f64 x)))))
(if (<=.f64 eps -6050532056176733/73786976294838206464) (-.f64 (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (.f64 (sin.f64 eps) (sin.f64 x))) (cos.f64 x)) (if (<=.f64 eps 5902958103587057/36893488147419103232) (/.f64 (.f64 (+.f64 (.f64 eps (sin.f64 x)) (+.f64 (.f64 (cos.f64 x) (.f64 eps (.f64 eps 1/2))) (.f64 (sin.f64 x) (.f64 -1/6 (pow.f64 eps 3))))) -2) 2) (-.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (*.f64 (sin.f64 eps) (sin.f64 x)))))
(if (<=.f64 eps -6050532056176733/73786976294838206464) (-.f64 (-.f64 (.f64 (cos.f64 eps) (cos.f64 x)) (cos.f64 x)) (.f64 (sin.f64 x) (sin.f64 eps))) (if (<=.f64 eps 5902958103587057/36893488147419103232) (/.f64 (.f64 (+.f64 (.f64 eps (sin.f64 x)) (+.f64 (+.f64 (.f64 (cos.f64 x) (.f64 (.f64 eps 1/2) eps)) (.f64 (sin.f64 x) (.f64 -1/6 (pow.f64 eps 3)))) 0)) -2) 2) (-.f64 (.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)) (*.f64 (sin.f64 eps) (sin.f64 x)))))
(if (<=.f64 eps -6050532056176733/73786976294838206464) (-.f64 (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (cos.f64 x)) (.f64 (sin.f64 eps) (sin.f64 x))) (if (<=.f64 eps 5902958103587057/36893488147419103232) (/.f64 (.f64 (+.f64 (.f64 eps (sin.f64 x)) (+.f64 (.f64 (cos.f64 x) (.f64 eps (.f64 eps 1/2))) (.f64 (sin.f64 x) (.f64 -1/6 (pow.f64 eps 3))))) -2) 2) (-.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (*.f64 (sin.f64 eps) (sin.f64 x)))))
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(if (<=.f64 eps -760928193040519/4611686018427387904) (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (.f64 (sin.f64 eps) (sin.f64 x)))) (if (<=.f64 eps 5902958103587057/36893488147419103232) (/.f64 (.f64 (+.f64 (.f64 eps (sin.f64 x)) (+.f64 (.f64 (cos.f64 x) (.f64 eps (.f64 eps 1/2))) (.f64 (sin.f64 x) (.f64 -1/6 (pow.f64 eps 3))))) -2) 2) (-.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (*.f64 (sin.f64 eps) (sin.f64 x)))))
(if (<=.f64 eps -6050532056176733/73786976294838206464) (-.f64 (.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)) (.f64 (sin.f64 eps) (sin.f64 x))) (if (<=.f64 eps 5902958103587057/36893488147419103232) (/.f64 (.f64 (+.f64 (.f64 eps (sin.f64 x)) (+.f64 (+.f64 (.f64 (cos.f64 x) (.f64 (.f64 eps 1/2) eps)) (.f64 (sin.f64 x) (.f64 -1/6 (pow.f64 eps 3)))) 0)) -2) 2) (-.f64 (.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)) (*.f64 (sin.f64 eps) (sin.f64 x)))))
(if (or (<=.f64 eps -6050532056176733/73786976294838206464) (not (<=.f64 eps 5902958103587057/36893488147419103232))) (-.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 (sin.f64 eps) (sin.f64 x))) (/.f64 (.f64 (+.f64 (.f64 eps (sin.f64 x)) (+.f64 (.f64 (cos.f64 x) (.f64 eps (.f64 eps 1/2))) (.f64 (sin.f64 x) (*.f64 -1/6 (pow.f64 eps 3))))) -2) 2))
(if (<=.f64 eps -6050532056176733/73786976294838206464) (-.f64 (.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)) (.f64 (sin.f64 eps) (sin.f64 x))) (if (<=.f64 eps 5902958103587057/36893488147419103232) (+.f64 (.f64 (.f64 eps eps) (.f64 (cos.f64 x) -1/2)) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x)))) (-.f64 (.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)) (.f64 (sin.f64 eps) (sin.f64 x)))))
(if (or (<=.f64 eps -6050532056176733/73786976294838206464) (not (<=.f64 eps 5902958103587057/36893488147419103232))) (-.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 (sin.f64 eps) (sin.f64 x))) (+.f64 (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))) (.f64 (.f64 eps eps) (.f64 (cos.f64 x) -1/2))))
(if (or (<=.f64 eps -6050532056176733/73786976294838206464) (not (<=.f64 eps 5902958103587057/36893488147419103232))) (-.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 (sin.f64 eps) (sin.f64 x))) (-.f64 (.f64 (.f64 eps eps) (.f64 (cos.f64 x) -1/2)) (.f64 (sin.f64 eps) (sin.f64 x))))
(.f64 -2 (.f64 (sin.f64 (/.f64 (+.f64 eps (-.f64 x x)) 2)) (sin.f64 (/.f64 (+.f64 eps (+.f64 x x)) 2))))
(if (<=.f64 eps -7926335344172073/288230376151711744) (-.f64 (cos.f64 eps) (cos.f64 x)) (if (<=.f64 eps 8214565720323785/288230376151711744) (-.f64 (.f64 (.f64 eps eps) (.f64 -1/2 (cos.f64 x))) (.f64 eps (sin.f64 x))) (-.f64 (cos.f64 eps) (cos.f64 x))))
(if (or (<=.f64 eps -7926335344172073/288230376151711744) (not (<=.f64 eps 8214565720323785/288230376151711744))) (-.f64 (cos.f64 eps) (cos.f64 x)) (-.f64 (.f64 (.f64 eps eps) (.f64 (cos.f64 x) -1/2)) (.f64 eps (sin.f64 x))))
(if (<=.f64 eps -4958484807013127/4722366482869645213696) (-.f64 (cos.f64 eps) (cos.f64 x)) (if (<=.f64 eps -6070840288205403/485667223056432267729865476705879726660601709763034880312953102434726071301302124544) (.f64 (neg.f64 eps) (sin.f64 x)) (if (<=.f64 eps -8840889449137087/3048582568667961163458591044719888970457615373696260889510895468384152088691177363398736428772941378085768487423248655171335913749304966119424) (-.f64 (.f64 (cos.f64 x) (.f64 -1/2 (.f64 eps eps))) (.f64 eps x)) (if (<=.f64 eps 5534023222112865/2305843009213693952) (.f64 (neg.f64 eps) (sin.f64 x)) (-.f64 (cos.f64 eps) (cos.f64 x))))))
(if (<=.f64 eps -4958484807013127/4722366482869645213696) (-.f64 (cos.f64 eps) (cos.f64 x)) (if (<=.f64 eps -6070840288205403/485667223056432267729865476705879726660601709763034880312953102434726071301302124544) (.f64 (sin.f64 x) (neg.f64 eps)) (if (<=.f64 eps -8840889449137087/3048582568667961163458591044719888970457615373696260889510895468384152088691177363398736428772941378085768487423248655171335913749304966119424) (-.f64 (.f64 (cos.f64 x) (.f64 (.f64 eps eps) -1/2)) (.f64 x eps)) (if (<=.f64 eps 5534023222112865/2305843009213693952) (.f64 (sin.f64 x) (neg.f64 eps)) (-.f64 (cos.f64 eps) (cos.f64 x))))))
(if (<=.f64 eps -4958484807013127/4722366482869645213696) (-.f64 (cos.f64 eps) (cos.f64 x)) (if (<=.f64 eps -6070840288205403/485667223056432267729865476705879726660601709763034880312953102434726071301302124544) (.f64 eps (neg.f64 (sin.f64 x))) (if (<=.f64 eps -8840889449137087/3048582568667961163458591044719888970457615373696260889510895468384152088691177363398736428772941378085768487423248655171335913749304966119424) (-.f64 (.f64 (cos.f64 x) (.f64 (.f64 eps eps) -1/2)) (.f64 x eps)) (if (<=.f64 eps 5534023222112865/2305843009213693952) (.f64 eps (neg.f64 (sin.f64 x))) (-.f64 (cos.f64 eps) (cos.f64 x))))))
(if (<=.f64 eps -2833419889721787/590295810358705651712) (-.f64 (cos.f64 eps) 1) (if (<=.f64 eps -4856672230564323/60708402882054033466233184588234965832575213720379360039119137804340758912662765568) (.f64 (neg.f64 eps) (sin.f64 x)) (if (<=.f64 eps -7773885550103301/1524291284333980581729295522359944485228807686848130444755447734192076044345588681699368214386470689042884243711624327585667956874652483059712) (-.f64 (.f64 (cos.f64 x) (.f64 -1/2 (.f64 eps eps))) (.f64 eps x)) (if (<=.f64 eps 5404319552844595/1125899906842624) (.f64 (neg.f64 eps) (sin.f64 x)) (-.f64 (cos.f64 eps) 1)))))
(if (<=.f64 eps -2833419889721787/590295810358705651712) (+.f64 (cos.f64 eps) -1) (if (<=.f64 eps -4856672230564323/60708402882054033466233184588234965832575213720379360039119137804340758912662765568) (.f64 (sin.f64 x) (neg.f64 eps)) (if (<=.f64 eps -7773885550103301/1524291284333980581729295522359944485228807686848130444755447734192076044345588681699368214386470689042884243711624327585667956874652483059712) (-.f64 (.f64 (cos.f64 x) (.f64 (.f64 eps eps) -1/2)) (.f64 x eps)) (if (<=.f64 eps 5404319552844595/1125899906842624) (.f64 (sin.f64 x) (neg.f64 eps)) (+.f64 (cos.f64 eps) -1)))))
(if (<=.f64 eps -2833419889721787/590295810358705651712) (+.f64 (cos.f64 eps) -1) (if (<=.f64 eps -4856672230564323/60708402882054033466233184588234965832575213720379360039119137804340758912662765568) (.f64 eps (neg.f64 (sin.f64 x))) (if (<=.f64 eps -7773885550103301/1524291284333980581729295522359944485228807686848130444755447734192076044345588681699368214386470689042884243711624327585667956874652483059712) (-.f64 (.f64 (cos.f64 x) (.f64 (.f64 eps eps) -1/2)) (.f64 x eps)) (if (<=.f64 eps 5404319552844595/1125899906842624) (.f64 eps (neg.f64 (sin.f64 x))) (+.f64 (cos.f64 eps) -1)))))
(if (<=.f64 eps -8689154328480147/9444732965739290427392) (-.f64 (cos.f64 eps) 1) (if (<=.f64 eps -5809983869571577/237142198758023568227473377297792835283496928595231875152809132048206089502588928) (.f64 (neg.f64 eps) (sin.f64 x)) (if (<=.f64 eps -7926314678536699/1524291284333980581729295522359944485228807686848130444755447734192076044345588681699368214386470689042884243711624327585667956874652483059712) (.f64 -1/2 (.f64 eps eps)) (if (<=.f64 eps 5404319552844595/1125899906842624) (.f64 (neg.f64 eps) (sin.f64 x)) (-.f64 (cos.f64 eps) 1)))))
(if (<=.f64 eps -8689154328480147/9444732965739290427392) (+.f64 (cos.f64 eps) -1) (if (<=.f64 eps -5809983869571577/237142198758023568227473377297792835283496928595231875152809132048206089502588928) (.f64 (sin.f64 x) (neg.f64 eps)) (if (<=.f64 eps -7926314678536699/1524291284333980581729295522359944485228807686848130444755447734192076044345588681699368214386470689042884243711624327585667956874652483059712) (.f64 (.f64 eps eps) -1/2) (if (<=.f64 eps 5404319552844595/1125899906842624) (.f64 (sin.f64 x) (neg.f64 eps)) (+.f64 (cos.f64 eps) -1)))))
(if (<=.f64 eps -8689154328480147/9444732965739290427392) (+.f64 (cos.f64 eps) -1) (if (<=.f64 eps -5809983869571577/237142198758023568227473377297792835283496928595231875152809132048206089502588928) (.f64 eps (neg.f64 (sin.f64 x))) (if (<=.f64 eps -7926314678536699/1524291284333980581729295522359944485228807686848130444755447734192076044345588681699368214386470689042884243711624327585667956874652483059712) (.f64 (.f64 eps eps) -1/2) (if (<=.f64 eps 5404319552844595/1125899906842624) (.f64 eps (neg.f64 (sin.f64 x))) (+.f64 (cos.f64 eps) -1)))))
(if (<=.f64 eps -7177997053961861/37778931862957161709568) (-.f64 (cos.f64 eps) 1) (if (<=.f64 eps -2411471414362769/61832600368276133515125630254911797508782837275302959978515764023224306276632966792579100265310761247399417856504034834837841258576687802491886538775473291979151693037174784) (.f64 -1/2 (.f64 eps eps)) (if (<=.f64 eps 3356924841512981/5164499756173817179311838344006023748659411585658447025661318713081295244033682389259290706560275662871806343945494986752) (.f64 eps (neg.f64 x)) (if (<=.f64 eps 5902958103587057/36893488147419103232) (.f64 -1/2 (*.f64 eps eps)) (-.f64 (cos.f64 eps) 1)))))
(if (<=.f64 eps -7177997053961861/37778931862957161709568) (+.f64 (cos.f64 eps) -1) (if (<=.f64 eps -2411471414362769/61832600368276133515125630254911797508782837275302959978515764023224306276632966792579100265310761247399417856504034834837841258576687802491886538775473291979151693037174784) (.f64 (.f64 eps eps) -1/2) (if (<=.f64 eps 3356924841512981/5164499756173817179311838344006023748659411585658447025661318713081295244033682389259290706560275662871806343945494986752) (.f64 eps (neg.f64 x)) (if (<=.f64 eps 5902958103587057/36893488147419103232) (.f64 (*.f64 eps eps) -1/2) (+.f64 (cos.f64 eps) -1)))))
(if (<=.f64 eps -7177997053961861/37778931862957161709568) (+.f64 (cos.f64 eps) -1) (if (<=.f64 eps -2411471414362769/61832600368276133515125630254911797508782837275302959978515764023224306276632966792579100265310761247399417856504034834837841258576687802491886538775473291979151693037174784) (.f64 (.f64 eps eps) -1/2) (if (<=.f64 eps 3356924841512981/5164499756173817179311838344006023748659411585658447025661318713081295244033682389259290706560275662871806343945494986752) (.f64 x (neg.f64 eps)) (if (<=.f64 eps 5902958103587057/36893488147419103232) (.f64 (*.f64 eps eps) -1/2) (+.f64 (cos.f64 eps) -1)))))
(if (<=.f64 eps -1661751134897421/1932268761508629172347675945465993672149463664853217499328617625725759571144780212268096883290961288981231808015751088588682539330521493827871454336733540374348490407411712) (.f64 -1/2 (.f64 eps eps)) (if (<=.f64 eps 3873374817130363/2582249878086908589655919172003011874329705792829223512830659356540647622016841194629645353280137831435903171972747493376) (.f64 eps (neg.f64 x)) (.f64 -1/2 (*.f64 eps eps))))
(if (or (<=.f64 eps -1661751134897421/1932268761508629172347675945465993672149463664853217499328617625725759571144780212268096883290961288981231808015751088588682539330521493827871454336733540374348490407411712) (not (<=.f64 eps 3873374817130363/2582249878086908589655919172003011874329705792829223512830659356540647622016841194629645353280137831435903171972747493376))) (.f64 (.f64 eps eps) -1/2) (*.f64 eps (neg.f64 x)))
(if (or (<=.f64 eps -1661751134897421/1932268761508629172347675945465993672149463664853217499328617625725759571144780212268096883290961288981231808015751088588682539330521493827871454336733540374348490407411712) (not (<=.f64 eps 3873374817130363/2582249878086908589655919172003011874329705792829223512830659356540647622016841194629645353280137831435903171972747493376))) (.f64 (.f64 eps eps) -1/2) (*.f64 x (neg.f64 eps)))
(*.f64 eps (neg.f64 x))
(*.f64 x (neg.f64 eps))

Compiler

Compiled 622 to 379 computations (39.1% saved)

soundness105.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

924×	`+-commutative`
898×	`associate-+l+`
872×	`associate-+r+`
806×	`associate-r`
726×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	782	24823
1	2281	21067

Stop Event

1×	node limit

Compiler

Compiled 417 to 228 computations (45.3% saved)

end230.0ms (1.2%)

Compiler: Compiled 594 to 283 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